id	sid	tid	token	lemma	pos
ejpam-6228	1	1	european	european	PROPN
ejpam-6228	1	2	journal	journal	PROPN
ejpam-6228	1	3	of	of	ADP
ejpam-6228	1	4	pure	pure	ADJ
ejpam-6228	1	5	and	and	CCONJ
ejpam-6228	1	6	applied	applied	ADJ
ejpam-6228	1	7	mathematics	mathematic	NOUN
ejpam-6228	1	8	2025	2025	NUM
ejpam-6228	1	9	,	,	PUNCT
ejpam-6228	1	10	vol	vol	NOUN
ejpam-6228	1	11	.	.	PROPN
ejpam-6228	1	12	18	18	NUM
ejpam-6228	1	13	,	,	PUNCT
ejpam-6228	1	14	issue	issue	NOUN
ejpam-6228	1	15	2	2	NUM
ejpam-6228	1	16	,	,	PUNCT
ejpam-6228	1	17	article	article	NOUN
ejpam-6228	1	18	number	number	NOUN
ejpam-6228	1	19	6228	6228	NUM
ejpam-6228	1	20	issn	issn	PROPN
ejpam-6228	1	21	1307	1307	NUM
ejpam-6228	1	22	-	-	SYM
ejpam-6228	1	23	5543	5543	NUM
ejpam-6228	1	24	–	–	PUNCT
ejpam-6228	1	25	ejpam.com	ejpam.com	X
ejpam-6228	1	26	published	publish	VERB
ejpam-6228	1	27	by	by	ADP
ejpam-6228	1	28	new	new	PROPN
ejpam-6228	1	29	york	york	PROPN
ejpam-6228	1	30	business	business	PROPN
ejpam-6228	1	31	global	global	ADJ
ejpam-6228	1	32	1	1	NUM
ejpam-6228	1	33	a	a	DET
ejpam-6228	1	34	novel	novel	ADJ
ejpam-6228	1	35	spn	spn	PROPN
ejpam-6228	1	36	based	base	VERB
ejpam-6228	1	37	multiple	multiple	ADJ
ejpam-6228	1	38	rgb	rgb	PROPN
ejpam-6228	1	39	images	image	NOUN
ejpam-6228	1	40	security2	security2	NOUN
ejpam-6228	1	41	over	over	ADP
ejpam-6228	1	42	the	the	DET
ejpam-6228	1	43	residue	residue	NOUN
ejpam-6228	1	44	classes	class	NOUN
ejpam-6228	1	45	of	of	ADP
ejpam-6228	1	46	quaternion	quaternion	NOUN
ejpam-6228	1	47	integers	integer	NOUN
ejpam-6228	1	48	h[k]δ3	h[k]δ3	PROPN
ejpam-6228	1	49	muhammad	muhammad	PROPN
ejpam-6228	1	50	sajjad1,∗	sajjad1,∗	NOUN
ejpam-6228	1	51	,	,	PUNCT
ejpam-6228	1	52	nawaf	nawaf	PROPN
ejpam-6228	1	53	a.	a.	PROPN
ejpam-6228	2	1	alqwaifly2,∗4	alqwaifly2,∗4	ADV
ejpam-6228	2	2	1	1	NUM
ejpam-6228	2	3	nutech	nutech	NOUN
ejpam-6228	2	4	school	school	NOUN
ejpam-6228	2	5	of	of	ADP
ejpam-6228	2	6	applied	apply	VERB
ejpam-6228	2	7	science	science	NOUN
ejpam-6228	2	8	and	and	CCONJ
ejpam-6228	2	9	humanities	humanity	NOUN
ejpam-6228	2	10	,	,	PUNCT
ejpam-6228	2	11	national	national	ADJ
ejpam-6228	2	12	university	university	PROPN
ejpam-6228	2	13	of	of	ADP
ejpam-6228	2	14	technology,5	technology,5	PROPN
ejpam-6228	2	15	islamabad	islamabad	PROPN
ejpam-6228	2	16	,	,	PUNCT
ejpam-6228	2	17	44000	44000	NUM
ejpam-6228	2	18	,	,	PUNCT
ejpam-6228	2	19	pakistan6	pakistan6	NOUN
ejpam-6228	2	20	2	2	NUM
ejpam-6228	2	21	department	department	NOUN
ejpam-6228	2	22	of	of	ADP
ejpam-6228	2	23	electrical	electrical	ADJ
ejpam-6228	2	24	engineering	engineering	NOUN
ejpam-6228	2	25	,	,	PUNCT
ejpam-6228	2	26	college	college	NOUN
ejpam-6228	2	27	of	of	ADP
ejpam-6228	2	28	engineering	engineering	NOUN
ejpam-6228	2	29	,	,	PUNCT
ejpam-6228	2	30	qassim	qassim	NOUN
ejpam-6228	2	31	university,7	university,7	X
ejpam-6228	2	32	saudi	saudi	ADJ
ejpam-6228	2	33	arabia8	arabia8	PROPN
ejpam-6228	2	34	9	9	NUM
ejpam-6228	2	35	abstract	abstract	NOUN
ejpam-6228	2	36	.	.	PUNCT
ejpam-6228	3	1	in	in	ADP
ejpam-6228	3	2	this	this	DET
ejpam-6228	3	3	paper	paper	NOUN
ejpam-6228	3	4	,	,	PUNCT
ejpam-6228	3	5	we	we	PRON
ejpam-6228	3	6	propose	propose	VERB
ejpam-6228	3	7	a	a	DET
ejpam-6228	3	8	substitution	substitution	NOUN
ejpam-6228	3	9	and	and	CCONJ
ejpam-6228	3	10	permutation	permutation	NOUN
ejpam-6228	3	11	network	network	NOUN
ejpam-6228	3	12	(	(	PUNCT
ejpam-6228	3	13	spn)-based	spn)-base	VERB
ejpam-6228	3	14	encryption	encryption	NOUN
ejpam-6228	3	15	scheme	scheme	NOUN
ejpam-6228	3	16	for	for	ADP
ejpam-6228	3	17	secure	secure	ADJ
ejpam-6228	3	18	multiple	multiple	ADJ
ejpam-6228	3	19	rgb	rgb	PROPN
ejpam-6228	3	20	images	image	NOUN
ejpam-6228	3	21	over	over	ADP
ejpam-6228	3	22	the	the	DET
ejpam-6228	3	23	residue	residue	NOUN
ejpam-6228	3	24	classes	class	NOUN
ejpam-6228	3	25	of	of	ADP
ejpam-6228	3	26	quaternion	quaternion	NOUN
ejpam-6228	3	27	integers	integer	NOUN
ejpam-6228	3	28	h[k]δ	h[k]δ	VERB
ejpam-6228	3	29	.	.	PUNCT
ejpam-6228	4	1	in	in	ADP
ejpam-6228	4	2	this	this	DET
ejpam-6228	4	3	context	context	NOUN
ejpam-6228	4	4	,	,	PUNCT
ejpam-6228	4	5	the	the	DET
ejpam-6228	4	6	new	new	ADJ
ejpam-6228	4	7	construction	construction	NOUN
ejpam-6228	4	8	of	of	ADP
ejpam-6228	4	9	n×	n×	PRON
ejpam-6228	4	10	n	n	NOUN
ejpam-6228	4	11	substitution	substitution	NOUN
ejpam-6228	4	12	boxes	box	NOUN
ejpam-6228	4	13	(	(	PUNCT
ejpam-6228	4	14	s	s	NOUN
ejpam-6228	4	15	-	-	PUNCT
ejpam-6228	4	16	boxes	box	NOUN
ejpam-6228	4	17	)	)	PUNCT
ejpam-6228	4	18	using	use	VERB
ejpam-6228	4	19	quaternion	quaternion	NOUN
ejpam-6228	4	20	integers	integer	NOUN
ejpam-6228	4	21	is	be	AUX
ejpam-6228	4	22	proposed	propose	VERB
ejpam-6228	4	23	in	in	ADP
ejpam-6228	4	24	order	order	NOUN
ejpam-6228	4	25	to	to	PART
ejpam-6228	4	26	enhance	enhance	VERB
ejpam-6228	4	27	cryptographic	cryptographic	ADJ
ejpam-6228	4	28	strength	strength	NOUN
ejpam-6228	4	29	.	.	PUNCT
ejpam-6228	5	1	the	the	DET
ejpam-6228	5	2	traditional	traditional	ADJ
ejpam-6228	5	3	approaches	approach	NOUN
ejpam-6228	5	4	for	for	ADP
ejpam-6228	5	5	s	s	NOUN
ejpam-6228	5	6	-	-	PUNCT
ejpam-6228	5	7	boxes	box	NOUN
ejpam-6228	5	8	are	be	AUX
ejpam-6228	5	9	mostly	mostly	ADV
ejpam-6228	5	10	based	base	VERB
ejpam-6228	5	11	on	on	ADP
ejpam-6228	5	12	gaussian	gaussian	ADJ
ejpam-6228	5	13	,	,	PUNCT
ejpam-6228	5	14	eisenstein	eisenstein	PROPN
ejpam-6228	5	15	,	,	PUNCT
ejpam-6228	5	16	and	and	CCONJ
ejpam-6228	5	17	elliptic	elliptic	ADJ
ejpam-6228	5	18	curves	curve	NOUN
ejpam-6228	5	19	,	,	PUNCT
ejpam-6228	5	20	but	but	CCONJ
ejpam-6228	5	21	quaternion	quaternion	NOUN
ejpam-6228	5	22	integers	integer	NOUN
ejpam-6228	5	23	are	be	AUX
ejpam-6228	5	24	a	a	DET
ejpam-6228	5	25	four	four	NUM
ejpam-6228	5	26	-	-	PUNCT
ejpam-6228	5	27	dimensional	dimensional	ADJ
ejpam-6228	5	28	algebra	algebra	NOUN
ejpam-6228	5	29	that	that	PRON
ejpam-6228	5	30	is	be	AUX
ejpam-6228	5	31	somewhat	somewhat	ADV
ejpam-6228	5	32	different	different	ADJ
ejpam-6228	5	33	mathematically	mathematically	ADV
ejpam-6228	5	34	,	,	PUNCT
ejpam-6228	5	35	and	and	CCONJ
ejpam-6228	5	36	these	these	PRON
ejpam-6228	5	37	provide	provide	VERB
ejpam-6228	5	38	additional	additional	ADJ
ejpam-6228	5	39	resistance	resistance	NOUN
ejpam-6228	5	40	in	in	ADP
ejpam-6228	5	41	terms	term	NOUN
ejpam-6228	5	42	of	of	ADP
ejpam-6228	5	43	cryptographic	cryptographic	ADJ
ejpam-6228	5	44	attacks	attack	NOUN
ejpam-6228	5	45	.	.	PUNCT
ejpam-6228	6	1	the	the	DET
ejpam-6228	6	2	strong	strong	ADJ
ejpam-6228	6	3	security	security	NOUN
ejpam-6228	6	4	attributes	attribute	NOUN
ejpam-6228	6	5	of	of	ADP
ejpam-6228	6	6	the	the	DET
ejpam-6228	6	7	designed	design	VERB
ejpam-6228	6	8	s	s	NOUN
ejpam-6228	6	9	-	-	NOUN
ejpam-6228	6	10	boxes	box	NOUN
ejpam-6228	6	11	.	.	PUNCT
ejpam-6228	7	1	as	as	ADP
ejpam-6228	7	2	for	for	ADP
ejpam-6228	7	3	multiple	multiple	ADJ
ejpam-6228	7	4	rgb	rgb	PROPN
ejpam-6228	7	5	image	image	NOUN
ejpam-6228	7	6	encryption	encryption	NOUN
ejpam-6228	7	7	,	,	PUNCT
ejpam-6228	7	8	in	in	ADP
ejpam-6228	7	9	order	order	NOUN
ejpam-6228	7	10	to	to	PART
ejpam-6228	7	11	achieve	achieve	VERB
ejpam-6228	7	12	both	both	DET
ejpam-6228	7	13	confusion	confusion	NOUN
ejpam-6228	7	14	and	and	CCONJ
ejpam-6228	7	15	diffusion	diffusion	NOUN
ejpam-6228	7	16	,	,	PUNCT
ejpam-6228	7	17	the	the	DET
ejpam-6228	7	18	proposed	propose	VERB
ejpam-6228	7	19	method	method	NOUN
ejpam-6228	7	20	employs	employ	VERB
ejpam-6228	7	21	the	the	DET
ejpam-6228	7	22	spn	spn	PROPN
ejpam-6228	7	23	framework	framework	NOUN
ejpam-6228	7	24	and	and	CCONJ
ejpam-6228	7	25	quaternion	quaternion	NOUN
ejpam-6228	7	26	integer	integer	NOUN
ejpam-6228	7	27	-	-	PUNCT
ejpam-6228	7	28	based	base	VERB
ejpam-6228	7	29	s	s	NOUN
ejpam-6228	7	30	-	-	PUNCT
ejpam-6228	7	31	boxes	box	NOUN
ejpam-6228	7	32	.	.	PUNCT
ejpam-6228	8	1	structured	structure	VERB
ejpam-6228	8	2	spn	spn	PROPN
ejpam-6228	8	3	framework	framework	NOUN
ejpam-6228	8	4	based	base	VERB
ejpam-6228	8	5	on	on	ADP
ejpam-6228	8	6	substitution	substitution	NOUN
ejpam-6228	8	7	,	,	PUNCT
ejpam-6228	8	8	permutation	permutation	NOUN
ejpam-6228	8	9	,	,	PUNCT
ejpam-6228	8	10	and	and	CCONJ
ejpam-6228	8	11	xor	xor	PROPN
ejpam-6228	8	12	operations	operation	NOUN
ejpam-6228	8	13	used	use	VERB
ejpam-6228	8	14	by	by	ADP
ejpam-6228	8	15	the	the	DET
ejpam-6228	8	16	encryption	encryption	NOUN
ejpam-6228	8	17	algorithm	algorithm	NOUN
ejpam-6228	8	18	.	.	PUNCT
ejpam-6228	9	1	it	it	PRON
ejpam-6228	9	2	is	be	AUX
ejpam-6228	9	3	shown	show	VERB
ejpam-6228	9	4	that	that	SCONJ
ejpam-6228	9	5	the	the	DET
ejpam-6228	9	6	encryption	encryption	NOUN
ejpam-6228	9	7	method	method	NOUN
ejpam-6228	9	8	proposed	propose	VERB
ejpam-6228	9	9	greatly	greatly	ADV
ejpam-6228	9	10	increases	increase	VERB
ejpam-6228	9	11	the	the	DET
ejpam-6228	9	12	resistance	resistance	NOUN
ejpam-6228	9	13	against	against	ADP
ejpam-6228	9	14	statistical	statistical	ADJ
ejpam-6228	9	15	,	,	PUNCT
ejpam-6228	9	16	differential	differential	ADJ
ejpam-6228	9	17	,	,	PUNCT
ejpam-6228	9	18	and	and	CCONJ
ejpam-6228	9	19	cryptanalytic	cryptanalytic	ADJ
ejpam-6228	9	20	attacks	attack	NOUN
ejpam-6228	9	21	.	.	PUNCT
ejpam-6228	10	1	the	the	DET
ejpam-6228	10	2	quaternion	quaternion	NOUN
ejpam-6228	10	3	integer	integer	NOUN
ejpam-6228	10	4	-	-	PUNCT
ejpam-6228	10	5	based	base	VERB
ejpam-6228	10	6	encryption	encryption	NOUN
ejpam-6228	10	7	framework	framework	NOUN
ejpam-6228	10	8	is	be	AUX
ejpam-6228	10	9	used	use	VERB
ejpam-6228	10	10	to	to	PART
ejpam-6228	10	11	convey	convey	VERB
ejpam-6228	10	12	the	the	DET
ejpam-6228	10	13	confidentiality	confidentiality	NOUN
ejpam-6228	10	14	and	and	CCONJ
ejpam-6228	10	15	integrity	integrity	NOUN
ejpam-6228	10	16	of	of	ADP
ejpam-6228	10	17	multiple	multiple	ADJ
ejpam-6228	10	18	rgb	rgb	PROPN
ejpam-6228	10	19	images	image	NOUN
ejpam-6228	10	20	,	,	PUNCT
ejpam-6228	10	21	which	which	PRON
ejpam-6228	10	22	promises	promise	VERB
ejpam-6228	10	23	to	to	PART
ejpam-6228	10	24	be	be	AUX
ejpam-6228	10	25	a	a	DET
ejpam-6228	10	26	good	good	ADJ
ejpam-6228	10	27	solution	solution	NOUN
ejpam-6228	10	28	for	for	ADP
ejpam-6228	10	29	secure	secure	ADJ
ejpam-6228	10	30	multimedia	multimedia	NOUN
ejpam-6228	10	31	applications	application	NOUN
ejpam-6228	10	32	.	.	PUNCT
ejpam-6228	11	1	the	the	DET
ejpam-6228	11	2	results	result	NOUN
ejpam-6228	11	3	confirm	confirm	VERB
ejpam-6228	11	4	that	that	SCONJ
ejpam-6228	11	5	quaternion	quaternion	NOUN
ejpam-6228	11	6	integer	integer	NOUN
ejpam-6228	11	7	algebra	algebra	NOUN
ejpam-6228	11	8	can	can	AUX
ejpam-6228	11	9	constitute	constitute	VERB
ejpam-6228	11	10	a	a	DET
ejpam-6228	11	11	useful	useful	ADJ
ejpam-6228	11	12	basis	basis	NOUN
ejpam-6228	11	13	for	for	ADP
ejpam-6228	11	14	constructing	construct	VERB
ejpam-6228	11	15	resilient	resilient	ADJ
ejpam-6228	11	16	cryptographic	cryptographic	ADJ
ejpam-6228	11	17	primitives	primitive	NOUN
ejpam-6228	11	18	for	for	ADP
ejpam-6228	11	19	the	the	DET
ejpam-6228	11	20	modern	modern	ADJ
ejpam-6228	11	21	digital	digital	ADJ
ejpam-6228	11	22	security	security	NOUN
ejpam-6228	11	23	challenges	challenge	NOUN
ejpam-6228	11	24	.	.	PUNCT
ejpam-6228	12	1	2020	2020	NUM
ejpam-6228	12	2	mathematics	mathematic	NOUN
ejpam-6228	12	3	subject	subject	NOUN
ejpam-6228	12	4	classifications	classification	NOUN
ejpam-6228	12	5	:	:	PUNCT
ejpam-6228	12	6	16s38	16s38	NUM
ejpam-6228	12	7	,	,	PUNCT
ejpam-6228	12	8	11t71	11t71	NUM
ejpam-6228	12	9	,	,	PUNCT
ejpam-6228	12	10	94a6010	94a6010	NUM
ejpam-6228	12	11	key	key	ADJ
ejpam-6228	12	12	words	word	NOUN
ejpam-6228	12	13	and	and	CCONJ
ejpam-6228	12	14	phrases	phrase	NOUN
ejpam-6228	12	15	:	:	PUNCT
ejpam-6228	12	16	quaternion	quaternion	NOUN
ejpam-6228	12	17	integers	integer	NOUN
ejpam-6228	12	18	,	,	PUNCT
ejpam-6228	12	19	multiple	multiple	ADJ
ejpam-6228	12	20	rgb	rgb	PROPN
ejpam-6228	12	21	image	image	NOUN
ejpam-6228	12	22	encryption	encryption	NOUN
ejpam-6228	12	23	,	,	PUNCT
ejpam-6228	12	24	spn	spn	PROPN
ejpam-6228	12	25	,	,	PUNCT
ejpam-6228	12	26	confu-11	confu-11	PROPN
ejpam-6228	12	27	sion	sion	PROPN
ejpam-6228	12	28	,	,	PUNCT
ejpam-6228	12	29	diffusion	diffusion	NOUN
ejpam-6228	12	30	,	,	PUNCT
ejpam-6228	12	31	security	security	NOUN
ejpam-6228	12	32	analysis12	analysis12	NOUN
ejpam-6228	12	33	13	13	NUM
ejpam-6228	12	34	1	1	NUM
ejpam-6228	12	35	.	.	PUNCT
ejpam-6228	12	36	introduction14	introduction14	PROPN
ejpam-6228	12	37	to	to	PART
ejpam-6228	12	38	safeguard	safeguard	VERB
ejpam-6228	12	39	multimedia	multimedia	NOUN
ejpam-6228	12	40	content	content	NOUN
ejpam-6228	12	41	from	from	ADP
ejpam-6228	12	42	unauthorized	unauthorized	ADJ
ejpam-6228	12	43	access	access	NOUN
ejpam-6228	12	44	,	,	PUNCT
ejpam-6228	12	45	tampering	tampering	NOUN
ejpam-6228	12	46	,	,	PUNCT
ejpam-6228	12	47	and	and	CCONJ
ejpam-6228	12	48	cyber15	cyber15	NOUN
ejpam-6228	12	49	threats	threat	NOUN
ejpam-6228	12	50	,	,	PUNCT
ejpam-6228	12	51	advanced	advanced	ADJ
ejpam-6228	12	52	cryptographic	cryptographic	ADJ
ejpam-6228	12	53	techniques	technique	NOUN
ejpam-6228	12	54	have	have	AUX
ejpam-6228	12	55	emerged	emerge	VERB
ejpam-6228	12	56	in	in	ADP
ejpam-6228	12	57	response	response	NOUN
ejpam-6228	12	58	to	to	ADP
ejpam-6228	12	59	the	the	DET
ejpam-6228	12	60	evolving16	evolving16	NOUN
ejpam-6228	12	61	landscape	landscape	NOUN
ejpam-6228	12	62	of	of	ADP
ejpam-6228	12	63	digital	digital	ADJ
ejpam-6228	12	64	communication	communication	NOUN
ejpam-6228	12	65	and	and	CCONJ
ejpam-6228	12	66	data	datum	NOUN
ejpam-6228	12	67	sharing	sharing	NOUN
ejpam-6228	12	68	.	.	PUNCT
ejpam-6228	13	1	traditionally	traditionally	ADV
ejpam-6228	13	2	these	these	PRON
ejpam-6228	13	3	include	include	VERB
ejpam-6228	13	4	aes17	aes17	NOUN
ejpam-6228	13	5	∗corresponding	∗corresponding	NOUN
ejpam-6228	13	6	author	author	NOUN
ejpam-6228	13	7	.	.	PUNCT
ejpam-6228	14	1	∗corresponding	∗corresponde	VERB
ejpam-6228	14	2	author	author	NOUN
ejpam-6228	14	3	.	.	PUNCT
ejpam-6228	15	1	doi	doi	NOUN
ejpam-6228	15	2	:	:	PUNCT
ejpam-6228	15	3	https://doi.org/10.29020/nybg.ejpam.v18i2.6228	https://doi.org/10.29020/nybg.ejpam.v18i2.6228	PROPN
ejpam-6228	15	4	email	email	NOUN
ejpam-6228	15	5	addresses	address	NOUN
ejpam-6228	15	6	:	:	PUNCT
ejpam-6228	15	7	muhammad.sajjad@nutech.edu.pk	muhammad.sajjad@nutech.edu.pk	PROPN
ejpam-6228	15	8	(	(	PUNCT
ejpam-6228	15	9	m.	m.	PROPN
ejpam-6228	15	10	sajjad	sajjad	PROPN
ejpam-6228	15	11	)	)	PUNCT
ejpam-6228	15	12	,	,	PUNCT
ejpam-6228	15	13	nkoiefly@qu.edu.sa	nkoiefly@qu.edu.sa	PROPN
ejpam-6228	15	14	(	(	PUNCT
ejpam-6228	15	15	n.	n.	NOUN
ejpam-6228	15	16	a.	a.	NOUN
ejpam-6228	15	17	alqwaifly	alqwaifly	PROPN
ejpam-6228	15	18	)	)	PUNCT
ejpam-6228	15	19	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6228	15	20	1	1	NUM
ejpam-6228	15	21	copyright	copyright	NOUN
ejpam-6228	15	22	:	:	PUNCT
ejpam-6228	16	1	©	©	PROPN
ejpam-6228	16	2	2025	2025	NUM
ejpam-6228	16	3	the	the	DET
ejpam-6228	16	4	author(s	author(s	NOUN
ejpam-6228	16	5	)	)	PUNCT
ejpam-6228	16	6	.	.	PUNCT
ejpam-6228	17	1	(	(	PUNCT
ejpam-6228	17	2	cc	cc	NOUN
ejpam-6228	17	3	by	by	ADP
ejpam-6228	17	4	-	-	PUNCT
ejpam-6228	17	5	nc	nc	PROPN
ejpam-6228	17	6	4.0	4.0	NUM
ejpam-6228	17	7	)	)	PUNCT
ejpam-6228	17	8	m.	m.	NOUN
ejpam-6228	17	9	sajjad	sajjad	PROPN
ejpam-6228	17	10	,	,	PUNCT
ejpam-6228	17	11	n.	n.	PROPN
ejpam-6228	17	12	a.	a.	NOUN
ejpam-6228	17	13	alqwaifly	alqwaifly	PROPN
ejpam-6228	17	14	/	/	SYM
ejpam-6228	17	15	eur	eur	PROPN
ejpam-6228	17	16	.	.	PUNCT
ejpam-6228	18	1	j.	j.	PROPN
ejpam-6228	18	2	pure	pure	PROPN
ejpam-6228	18	3	appl	appl	PROPN
ejpam-6228	18	4	.	.	PROPN
ejpam-6228	18	5	math	math	PROPN
ejpam-6228	18	6	,	,	PUNCT
ejpam-6228	18	7	18	18	NUM
ejpam-6228	18	8	(	(	PUNCT
ejpam-6228	18	9	2	2	NUM
ejpam-6228	18	10	)	)	PUNCT
ejpam-6228	18	11	(	(	PUNCT
ejpam-6228	18	12	2025	2025	NUM
ejpam-6228	18	13	)	)	PUNCT
ejpam-6228	18	14	,	,	PUNCT
ejpam-6228	18	15	6228	6228	NUM
ejpam-6228	18	16	2	2	NUM
ejpam-6228	18	17	of	of	ADP
ejpam-6228	18	18	35	35	NUM
ejpam-6228	18	19	and	and	CCONJ
ejpam-6228	18	20	rsa	rsa	NOUN
ejpam-6228	18	21	-	-	PUNCT
ejpam-6228	18	22	type	type	NOUN
ejpam-6228	18	23	schemes	scheme	NOUN
ejpam-6228	18	24	but	but	CCONJ
ejpam-6228	18	25	have	have	AUX
ejpam-6228	18	26	been	be	AUX
ejpam-6228	18	27	rendered	render	VERB
ejpam-6228	18	28	less	less	ADV
ejpam-6228	18	29	viable	viable	ADJ
ejpam-6228	18	30	due	due	ADJ
ejpam-6228	18	31	to	to	ADP
ejpam-6228	18	32	challenges	challenge	NOUN
ejpam-6228	18	33	like	like	ADP
ejpam-6228	18	34	the	the	DET
ejpam-6228	18	35	quan-18	quan-18	PROPN
ejpam-6228	18	36	tum	tum	NOUN
ejpam-6228	18	37	computing	computing	NOUN
ejpam-6228	18	38	threat	threat	NOUN
ejpam-6228	18	39	and	and	CCONJ
ejpam-6228	18	40	so	so	ADV
ejpam-6228	18	41	on	on	ADV
ejpam-6228	18	42	;	;	PUNCT
ejpam-6228	18	43	thus	thus	ADV
ejpam-6228	18	44	,	,	PUNCT
ejpam-6228	18	45	we	we	PRON
ejpam-6228	18	46	now	now	ADV
ejpam-6228	18	47	have	have	VERB
ejpam-6228	18	48	more	more	ADV
ejpam-6228	18	49	resilient	resilient	ADJ
ejpam-6228	18	50	approaches	approach	NOUN
ejpam-6228	18	51	like	like	ADP
ejpam-6228	18	52	post-19	post-19	PROPN
ejpam-6228	18	53	quantum	quantum	ADJ
ejpam-6228	18	54	cryptography	cryptography	NOUN
ejpam-6228	18	55	(	(	PUNCT
ejpam-6228	18	56	pqc	pqc	NOUN
ejpam-6228	18	57	)	)	PUNCT
ejpam-6228	18	58	,	,	PUNCT
ejpam-6228	18	59	homomorphic	homomorphic	ADJ
ejpam-6228	18	60	encryption	encryption	NOUN
ejpam-6228	18	61	and	and	CCONJ
ejpam-6228	18	62	lattice	lattice	NOUN
ejpam-6228	18	63	-	-	PUNCT
ejpam-6228	18	64	based	base	VERB
ejpam-6228	18	65	cryptosystems.20	cryptosystems.20	NOUN
ejpam-6228	18	66	although	although	SCONJ
ejpam-6228	18	67	encryption	encryption	NOUN
ejpam-6228	18	68	in	in	ADP
ejpam-6228	18	69	multimedia	multimedia	NOUN
ejpam-6228	18	70	security	security	NOUN
ejpam-6228	18	71	is	be	AUX
ejpam-6228	18	72	not	not	PART
ejpam-6228	18	73	sufficient	sufficient	ADJ
ejpam-6228	18	74	,	,	PUNCT
ejpam-6228	18	75	further	further	ADJ
ejpam-6228	18	76	mechanisms	mechanism	NOUN
ejpam-6228	18	77	such	such	ADJ
ejpam-6228	18	78	as21	as21	PROPN
ejpam-6228	18	79	digital	digital	ADJ
ejpam-6228	18	80	watermarking	watermarking	NOUN
ejpam-6228	18	81	,	,	PUNCT
ejpam-6228	18	82	steganography	steganography	NOUN
ejpam-6228	18	83	,	,	PUNCT
ejpam-6228	18	84	and	and	CCONJ
ejpam-6228	18	85	perceptual	perceptual	ADJ
ejpam-6228	18	86	hashing	hashing	NOUN
ejpam-6228	18	87	are	be	AUX
ejpam-6228	18	88	incorporated	incorporate	VERB
ejpam-6228	18	89	for	for	ADP
ejpam-6228	18	90	authen-22	authen-22	PROPN
ejpam-6228	18	91	ticity	ticity	NOUN
ejpam-6228	18	92	and	and	CCONJ
ejpam-6228	18	93	copyright	copyright	NOUN
ejpam-6228	18	94	protection	protection	NOUN
ejpam-6228	18	95	while	while	SCONJ
ejpam-6228	18	96	allowing	allow	VERB
ejpam-6228	18	97	for	for	ADP
ejpam-6228	18	98	secure	secure	ADJ
ejpam-6228	18	99	content	content	NOUN
ejpam-6228	18	100	distribution	distribution	NOUN
ejpam-6228	18	101	.	.	PUNCT
ejpam-6228	19	1	in	in	ADP
ejpam-6228	19	2	addition,23	addition,23	PROPN
ejpam-6228	19	3	chaos	chaos	NOUN
ejpam-6228	19	4	-	-	PUNCT
ejpam-6228	19	5	based	base	VERB
ejpam-6228	19	6	encryption	encryption	NOUN
ejpam-6228	19	7	methods	method	NOUN
ejpam-6228	19	8	and	and	CCONJ
ejpam-6228	19	9	cryptographic	cryptographic	ADJ
ejpam-6228	19	10	models	model	NOUN
ejpam-6228	19	11	built	build	VERB
ejpam-6228	19	12	using	use	VERB
ejpam-6228	19	13	deep	deep	ADJ
ejpam-6228	19	14	learning	learning	NOUN
ejpam-6228	19	15	have24	have24	NOUN
ejpam-6228	19	16	established	establish	VERB
ejpam-6228	19	17	a	a	DET
ejpam-6228	19	18	place	place	NOUN
ejpam-6228	19	19	for	for	ADP
ejpam-6228	19	20	them	they	PRON
ejpam-6228	19	21	,	,	PUNCT
ejpam-6228	19	22	as	as	SCONJ
ejpam-6228	19	23	they	they	PRON
ejpam-6228	19	24	allow	allow	VERB
ejpam-6228	19	25	for	for	ADP
ejpam-6228	19	26	improvement	improvement	NOUN
ejpam-6228	19	27	over	over	ADP
ejpam-6228	19	28	randomness	randomness	NOUN
ejpam-6228	19	29	and	and	CCONJ
ejpam-6228	19	30	adapt-25	adapt-25	PROPN
ejpam-6228	19	31	ability	ability	NOUN
ejpam-6228	19	32	,	,	PUNCT
ejpam-6228	19	33	thus	thus	ADV
ejpam-6228	19	34	making	make	VERB
ejpam-6228	19	35	them	they	PRON
ejpam-6228	19	36	ideally	ideally	ADV
ejpam-6228	19	37	suitable	suitable	ADJ
ejpam-6228	19	38	to	to	PART
ejpam-6228	19	39	face	face	VERB
ejpam-6228	19	40	off	off	ADP
ejpam-6228	19	41	against	against	ADP
ejpam-6228	19	42	statistical	statistical	ADJ
ejpam-6228	19	43	and	and	CCONJ
ejpam-6228	19	44	differential26	differential26	NOUN
ejpam-6228	19	45	attacks	attack	NOUN
ejpam-6228	19	46	.	.	PUNCT
ejpam-6228	20	1	since	since	SCONJ
ejpam-6228	20	2	the	the	DET
ejpam-6228	20	3	development	development	NOUN
ejpam-6228	20	4	of	of	ADP
ejpam-6228	20	5	blockchain	blockchain	PROPN
ejpam-6228	20	6	technology	technology	PROPN
ejpam-6228	20	7	,	,	PUNCT
ejpam-6228	20	8	secure	secure	ADJ
ejpam-6228	20	9	multimedia	multimedia	NOUN
ejpam-6228	20	10	transactions27	transactions27	NOUN
ejpam-6228	20	11	have	have	AUX
ejpam-6228	20	12	also	also	ADV
ejpam-6228	20	13	been	be	AUX
ejpam-6228	20	14	explored	explore	VERB
ejpam-6228	20	15	on	on	ADP
ejpam-6228	20	16	the	the	DET
ejpam-6228	20	17	basis	basis	NOUN
ejpam-6228	20	18	of	of	ADP
ejpam-6228	20	19	security	security	NOUN
ejpam-6228	20	20	frameworks	framework	NOUN
ejpam-6228	20	21	that	that	PRON
ejpam-6228	20	22	are	be	AUX
ejpam-6228	20	23	decentralized	decentralize	VERB
ejpam-6228	20	24	the28	the28	PROPN
ejpam-6228	20	25	need	need	NOUN
ejpam-6228	20	26	,	,	PUNCT
ejpam-6228	20	27	on	on	ADP
ejpam-6228	20	28	the	the	DET
ejpam-6228	20	29	one	one	NUM
ejpam-6228	20	30	hand	hand	NOUN
ejpam-6228	20	31	,	,	PUNCT
ejpam-6228	20	32	to	to	PART
ejpam-6228	20	33	depend	depend	VERB
ejpam-6228	20	34	on	on	ADP
ejpam-6228	20	35	centralized	centralized	ADJ
ejpam-6228	20	36	authorities	authority	NOUN
ejpam-6228	20	37	and	and	CCONJ
ejpam-6228	20	38	,	,	PUNCT
ejpam-6228	20	39	on	on	ADP
ejpam-6228	20	40	the	the	DET
ejpam-6228	20	41	other	other	ADJ
ejpam-6228	20	42	hand	hand	NOUN
ejpam-6228	20	43	,	,	PUNCT
ejpam-6228	20	44	to29	to29	PROPN
ejpam-6228	20	45	guarantee	guarantee	VERB
ejpam-6228	20	46	traceability	traceability	NOUN
ejpam-6228	20	47	and	and	CCONJ
ejpam-6228	20	48	integrity	integrity	NOUN
ejpam-6228	20	49	in	in	ADP
ejpam-6228	20	50	these	these	DET
ejpam-6228	20	51	transactions	transaction	NOUN
ejpam-6228	20	52	.	.	PUNCT
ejpam-6228	21	1	cryptography	cryptography	NOUN
ejpam-6228	21	2	also	also	ADV
ejpam-6228	21	3	becomes30	becomes30	VERB
ejpam-6228	21	4	more	more	ADV
ejpam-6228	21	5	optimized	optimize	VERB
ejpam-6228	21	6	for	for	ADP
ejpam-6228	21	7	reducing	reduce	VERB
ejpam-6228	21	8	stronger	strong	ADJ
ejpam-6228	21	9	security	security	NOUN
ejpam-6228	21	10	mechanisms	mechanism	NOUN
ejpam-6228	21	11	through	through	ADP
ejpam-6228	21	12	artificial	artificial	ADJ
ejpam-6228	21	13	intelligence31	intelligence31	NOUN
ejpam-6228	21	14	and	and	CCONJ
ejpam-6228	21	15	machine	machine	NOUN
ejpam-6228	21	16	learning	learn	VERB
ejpam-6228	21	17	by	by	ADP
ejpam-6228	21	18	increasing	increase	VERB
ejpam-6228	21	19	synergy	synergy	NOUN
ejpam-6228	21	20	with	with	ADP
ejpam-6228	21	21	cryptography	cryptography	NOUN
ejpam-6228	21	22	[	[	X
ejpam-6228	21	23	1	1	NUM
ejpam-6228	21	24	]	]	PUNCT
ejpam-6228	21	25	.	.	PUNCT
ejpam-6228	22	1	this	this	PRON
ejpam-6228	22	2	means	mean	VERB
ejpam-6228	22	3	that	that	SCONJ
ejpam-6228	22	4	adap-32	adap-32	PROPN
ejpam-6228	22	5	tive	tive	NOUN
ejpam-6228	22	6	security	security	NOUN
ejpam-6228	22	7	can	can	AUX
ejpam-6228	22	8	be	be	AUX
ejpam-6228	22	9	done	do	VERB
ejpam-6228	22	10	that	that	PRON
ejpam-6228	22	11	focuses	focus	VERB
ejpam-6228	22	12	on	on	ADP
ejpam-6228	22	13	real	real	ADJ
ejpam-6228	22	14	-	-	PUNCT
ejpam-6228	22	15	time	time	NOUN
ejpam-6228	22	16	threats	threat	NOUN
ejpam-6228	22	17	in	in	ADP
ejpam-6228	22	18	multimedia	multimedia	NOUN
ejpam-6228	22	19	communications.33	communications.33	NOUN
ejpam-6228	22	20	34	34	NUM
ejpam-6228	22	21	the	the	DET
ejpam-6228	22	22	primary	primary	ADJ
ejpam-6228	22	23	component	component	NOUN
ejpam-6228	22	24	of	of	ADP
ejpam-6228	22	25	non	non	ADJ
ejpam-6228	22	26	-	-	NOUN
ejpam-6228	22	27	linearity	linearity	ADJ
ejpam-6228	22	28	in	in	ADP
ejpam-6228	22	29	block	block	NOUN
ejpam-6228	22	30	ciphers	cipher	NOUN
ejpam-6228	22	31	is	be	AUX
ejpam-6228	22	32	substitution	substitution	NOUN
ejpam-6228	22	33	boxes	box	NOUN
ejpam-6228	22	34	(	(	PUNCT
ejpam-6228	22	35	s-35	s-35	NOUN
ejpam-6228	22	36	boxes	box	NOUN
ejpam-6228	22	37	)	)	PUNCT
ejpam-6228	22	38	,	,	PUNCT
ejpam-6228	22	39	which	which	PRON
ejpam-6228	22	40	are	be	AUX
ejpam-6228	22	41	very	very	ADV
ejpam-6228	22	42	important	important	ADJ
ejpam-6228	22	43	components	component	NOUN
ejpam-6228	22	44	to	to	PART
ejpam-6228	22	45	strengthen	strengthen	VERB
ejpam-6228	22	46	the	the	DET
ejpam-6228	22	47	crypto	crypto	NOUN
ejpam-6228	22	48	security	security	NOUN
ejpam-6228	22	49	because36	because36	NOUN
ejpam-6228	22	50	they	they	PRON
ejpam-6228	22	51	provide	provide	VERB
ejpam-6228	22	52	confusion	confusion	NOUN
ejpam-6228	22	53	and	and	CCONJ
ejpam-6228	22	54	are	be	AUX
ejpam-6228	22	55	immune	immune	ADJ
ejpam-6228	22	56	to	to	ADP
ejpam-6228	22	57	cryptanalytic	cryptanalytic	ADJ
ejpam-6228	22	58	attacks	attack	NOUN
ejpam-6228	22	59	.	.	PUNCT
ejpam-6228	23	1	this	this	DET
ejpam-6228	23	2	design	design	NOUN
ejpam-6228	23	3	of	of	ADP
ejpam-6228	23	4	an	an	DET
ejpam-6228	23	5	optimal37	optimal37	ADJ
ejpam-6228	23	6	s	s	NOUN
ejpam-6228	23	7	-	-	PUNCT
ejpam-6228	23	8	box	box	NOUN
ejpam-6228	23	9	balances	balance	NOUN
ejpam-6228	23	10	various	various	ADJ
ejpam-6228	23	11	cryptographic	cryptographic	ADJ
ejpam-6228	23	12	properties	property	NOUN
ejpam-6228	23	13	such	such	ADJ
ejpam-6228	23	14	as	as	ADP
ejpam-6228	23	15	high	high	ADJ
ejpam-6228	23	16	nonlinearity	nonlinearity	NOUN
ejpam-6228	23	17	,	,	PUNCT
ejpam-6228	23	18	low	low	ADJ
ejpam-6228	23	19	differential38	differential38	NOUN
ejpam-6228	23	20	uniformity	uniformity	NOUN
ejpam-6228	23	21	,	,	PUNCT
ejpam-6228	23	22	and	and	CCONJ
ejpam-6228	23	23	minimum	minimum	NOUN
ejpam-6228	23	24	probability	probability	NOUN
ejpam-6228	23	25	of	of	ADP
ejpam-6228	23	26	linear	linear	ADJ
ejpam-6228	23	27	approximation	approximation	NOUN
ejpam-6228	23	28	to	to	PART
ejpam-6228	23	29	make	make	VERB
ejpam-6228	23	30	the	the	DET
ejpam-6228	23	31	s	s	NOUN
ejpam-6228	23	32	-	-	PUNCT
ejpam-6228	23	33	box	box	NOUN
ejpam-6228	23	34	robust39	robust39	NOUN
ejpam-6228	23	35	against	against	ADP
ejpam-6228	23	36	linear	linear	ADJ
ejpam-6228	23	37	and	and	CCONJ
ejpam-6228	23	38	differential	differential	ADJ
ejpam-6228	23	39	cryptanalysis	cryptanalysis	NOUN
ejpam-6228	23	40	.	.	PUNCT
ejpam-6228	24	1	current	current	ADJ
ejpam-6228	24	2	s	s	PROPN
ejpam-6228	24	3	-	-	PUNCT
ejpam-6228	24	4	box	box	NOUN
ejpam-6228	24	5	construction	construction	NOUN
ejpam-6228	24	6	approaches	approach	NOUN
ejpam-6228	24	7	are40	are40	ADV
ejpam-6228	24	8	based	base	VERB
ejpam-6228	24	9	on	on	ADP
ejpam-6228	24	10	algebraic	algebraic	ADJ
ejpam-6228	24	11	structures	structure	NOUN
ejpam-6228	24	12	,	,	PUNCT
ejpam-6228	24	13	specifically	specifically	ADV
ejpam-6228	24	14	in	in	ADP
ejpam-6228	24	15	the	the	DET
ejpam-6228	24	16	form	form	NOUN
ejpam-6228	24	17	of	of	ADP
ejpam-6228	24	18	finite	finite	ADJ
ejpam-6228	24	19	fields	field	NOUN
ejpam-6228	24	20	;	;	PUNCT
ejpam-6228	24	21	however	however	ADV
ejpam-6228	24	22	,	,	PUNCT
ejpam-6228	24	23	there	there	PRON
ejpam-6228	24	24	have41	have41	NOUN
ejpam-6228	24	25	been	be	AUX
ejpam-6228	24	26	a	a	DET
ejpam-6228	24	27	number	number	NOUN
ejpam-6228	24	28	of	of	ADP
ejpam-6228	24	29	developments	development	NOUN
ejpam-6228	24	30	in	in	ADP
ejpam-6228	24	31	constructing	construct	VERB
ejpam-6228	24	32	s	s	NOUN
ejpam-6228	24	33	-	-	NOUN
ejpam-6228	24	34	boxes	box	NOUN
ejpam-6228	24	35	from	from	ADP
ejpam-6228	24	36	a	a	DET
ejpam-6228	24	37	more	more	ADV
ejpam-6228	24	38	sophisticated	sophisticated	ADJ
ejpam-6228	24	39	al-42	al-42	PUNCT
ejpam-6228	24	40	gebraic	gebraic	ADJ
ejpam-6228	24	41	domain	domain	NOUN
ejpam-6228	24	42	,	,	PUNCT
ejpam-6228	24	43	i.e.	i.e.	X
ejpam-6228	24	44	,	,	PUNCT
ejpam-6228	24	45	gaussian	gaussian	ADJ
ejpam-6228	24	46	and	and	CCONJ
ejpam-6228	24	47	eisenstein	eisenstein	NOUN
ejpam-6228	24	48	integers	integer	NOUN
ejpam-6228	24	49	,	,	PUNCT
ejpam-6228	24	50	quaternion	quaternion	NOUN
ejpam-6228	24	51	algebras	algebra	NOUN
ejpam-6228	24	52	,	,	PUNCT
ejpam-6228	24	53	and	and	CCONJ
ejpam-6228	24	54	galois43	galois43	NOUN
ejpam-6228	24	55	fields	field	NOUN
ejpam-6228	24	56	,	,	PUNCT
ejpam-6228	24	57	to	to	PART
ejpam-6228	24	58	increase	increase	VERB
ejpam-6228	24	59	their	their	PRON
ejpam-6228	24	60	cryptographic	cryptographic	ADJ
ejpam-6228	24	61	strength	strength	NOUN
ejpam-6228	24	62	.	.	PUNCT
ejpam-6228	25	1	furthermore	furthermore	ADV
ejpam-6228	25	2	,	,	PUNCT
ejpam-6228	25	3	s	s	NOUN
ejpam-6228	25	4	-	-	PUNCT
ejpam-6228	25	5	boxes	box	NOUN
ejpam-6228	25	6	are	be	AUX
ejpam-6228	25	7	generated	generate	VERB
ejpam-6228	25	8	dy-44	dy-44	VERB
ejpam-6228	25	9	namically	namically	ADV
ejpam-6228	25	10	by	by	ADP
ejpam-6228	25	11	evolutionary	evolutionary	ADJ
ejpam-6228	25	12	algorithms	algorithm	NOUN
ejpam-6228	25	13	,	,	PUNCT
ejpam-6228	25	14	artificial	artificial	ADJ
ejpam-6228	25	15	intelligence	intelligence	NOUN
ejpam-6228	25	16	techniques	technique	NOUN
ejpam-6228	25	17	and	and	CCONJ
ejpam-6228	25	18	deep	deep	ADJ
ejpam-6228	25	19	learning45	learning45	NOUN
ejpam-6228	25	20	models	model	NOUN
ejpam-6228	25	21	according	accord	VERB
ejpam-6228	25	22	to	to	ADP
ejpam-6228	25	23	the	the	DET
ejpam-6228	25	24	needs	need	NOUN
ejpam-6228	25	25	of	of	ADP
ejpam-6228	25	26	an	an	DET
ejpam-6228	25	27	evolving	evolve	VERB
ejpam-6228	25	28	security	security	NOUN
ejpam-6228	25	29	challenge	challenge	NOUN
ejpam-6228	25	30	.	.	PUNCT
ejpam-6228	26	1	currently	currently	ADV
ejpam-6228	26	2	,	,	PUNCT
ejpam-6228	26	3	modern	modern	ADJ
ejpam-6228	26	4	encryp-46	encryp-46	PROPN
ejpam-6228	26	5	tion	tion	NOUN
ejpam-6228	26	6	protocols	protocol	NOUN
ejpam-6228	26	7	start	start	VERB
ejpam-6228	26	8	introducing	introduce	VERB
ejpam-6228	26	9	dynamic	dynamic	ADJ
ejpam-6228	26	10	and	and	CCONJ
ejpam-6228	26	11	key	key	ADJ
ejpam-6228	26	12	-	-	PUNCT
ejpam-6228	26	13	dependent	dependent	ADJ
ejpam-6228	26	14	s	s	NOUN
ejpam-6228	26	15	-	-	NOUN
ejpam-6228	26	16	boxes	box	NOUN
ejpam-6228	26	17	in	in	ADP
ejpam-6228	26	18	order	order	NOUN
ejpam-6228	26	19	to	to	PART
ejpam-6228	26	20	introduce47	introduce47	VERB
ejpam-6228	26	21	additional	additional	ADJ
ejpam-6228	26	22	complexity	complexity	NOUN
ejpam-6228	26	23	and	and	CCONJ
ejpam-6228	26	24	make	make	VERB
ejpam-6228	26	25	the	the	DET
ejpam-6228	26	26	cryptographic	cryptographic	ADJ
ejpam-6228	26	27	systems	system	NOUN
ejpam-6228	26	28	less	less	ADV
ejpam-6228	26	29	vulnerable	vulnerable	ADJ
ejpam-6228	26	30	with	with	ADP
ejpam-6228	26	31	respect	respect	NOUN
ejpam-6228	26	32	to48	to48	PROPN
ejpam-6228	26	33	the	the	DET
ejpam-6228	26	34	adaptive	adaptive	ADJ
ejpam-6228	26	35	attacks	attack	NOUN
ejpam-6228	26	36	.	.	PUNCT
ejpam-6228	27	1	however	however	ADV
ejpam-6228	27	2	,	,	PUNCT
ejpam-6228	27	3	their	their	PRON
ejpam-6228	27	4	application	application	NOUN
ejpam-6228	27	5	is	be	AUX
ejpam-6228	27	6	not	not	PART
ejpam-6228	27	7	limited	limit	VERB
ejpam-6228	27	8	to	to	ADP
ejpam-6228	27	9	the	the	DET
ejpam-6228	27	10	conventional	conventional	ADJ
ejpam-6228	27	11	ciphers49	ciphers49	NOUN
ejpam-6228	27	12	but	but	CCONJ
ejpam-6228	27	13	also	also	ADV
ejpam-6228	27	14	extends	extend	VERB
ejpam-6228	27	15	to	to	ADP
ejpam-6228	27	16	the	the	DET
ejpam-6228	27	17	transparent	transparent	ADJ
ejpam-6228	27	18	braiding	braiding	NOUN
ejpam-6228	27	19	ciphers	cipher	NOUN
ejpam-6228	27	20	,	,	PUNCT
ejpam-6228	27	21	where	where	SCONJ
ejpam-6228	27	22	they	they	PRON
ejpam-6228	27	23	are	be	AUX
ejpam-6228	27	24	found	find	VERB
ejpam-6228	27	25	important	important	ADJ
ejpam-6228	27	26	in50	in50	PROPN
ejpam-6228	27	27	the	the	DET
ejpam-6228	27	28	areas	area	NOUN
ejpam-6228	27	29	of	of	ADP
ejpam-6228	27	30	lightweight	lightweight	ADJ
ejpam-6228	27	31	cryptography	cryptography	NOUN
ejpam-6228	27	32	,	,	PUNCT
ejpam-6228	27	33	chaotic	chaotic	ADJ
ejpam-6228	27	34	encryption	encryption	NOUN
ejpam-6228	27	35	schemes	scheme	NOUN
ejpam-6228	27	36	,	,	PUNCT
ejpam-6228	27	37	and	and	CCONJ
ejpam-6228	27	38	secure	secure	VERB
ejpam-6228	27	39	image	image	NOUN
ejpam-6228	27	40	pro-51	pro-51	CCONJ
ejpam-6228	27	41	cessing	cesse	VERB
ejpam-6228	27	42	,	,	PUNCT
ejpam-6228	27	43	where	where	SCONJ
ejpam-6228	27	44	the	the	DET
ejpam-6228	27	45	nonlinearity	nonlinearity	NOUN
ejpam-6228	27	46	in	in	ADP
ejpam-6228	27	47	them	they	PRON
ejpam-6228	27	48	is	be	AUX
ejpam-6228	27	49	a	a	DET
ejpam-6228	27	50	very	very	ADV
ejpam-6228	27	51	effective	effective	ADJ
ejpam-6228	27	52	means	mean	NOUN
ejpam-6228	27	53	of	of	ADP
ejpam-6228	27	54	providing	provide	VERB
ejpam-6228	27	55	security	security	NOUN
ejpam-6228	27	56	of52	of52	PROPN
ejpam-6228	27	57	data	datum	NOUN
ejpam-6228	27	58	and	and	CCONJ
ejpam-6228	27	59	unpredictability	unpredictability	NOUN
ejpam-6228	27	60	of	of	ADP
ejpam-6228	27	61	data	datum	NOUN
ejpam-6228	27	62	[	[	X
ejpam-6228	27	63	2	2	NUM
ejpam-6228	27	64	,	,	PUNCT
ejpam-6228	27	65	3].53	3].53	NUM
ejpam-6228	27	66	54	54	NUM
ejpam-6228	27	67	the	the	DET
ejpam-6228	27	68	single	single	ADJ
ejpam-6228	27	69	and	and	CCONJ
ejpam-6228	27	70	multiple	multiple	ADJ
ejpam-6228	27	71	image	image	NOUN
ejpam-6228	27	72	rgb	rgb	PROPN
ejpam-6228	27	73	encryption	encryption	NOUN
ejpam-6228	27	74	is	be	AUX
ejpam-6228	27	75	a	a	DET
ejpam-6228	27	76	very	very	ADV
ejpam-6228	27	77	complex	complex	ADJ
ejpam-6228	27	78	task	task	NOUN
ejpam-6228	27	79	which	which	PRON
ejpam-6228	27	80	must	must	AUX
ejpam-6228	27	81	be55	be55	PROPN
ejpam-6228	27	82	done	do	VERB
ejpam-6228	27	83	to	to	PART
ejpam-6228	27	84	ensure	ensure	VERB
ejpam-6228	27	85	confidentiality	confidentiality	NOUN
ejpam-6228	27	86	,	,	PUNCT
ejpam-6228	27	87	integrity	integrity	NOUN
ejpam-6228	27	88	,	,	PUNCT
ejpam-6228	27	89	and	and	CCONJ
ejpam-6228	27	90	resistance	resistance	NOUN
ejpam-6228	27	91	to	to	ADP
ejpam-6228	27	92	tax	tax	NOUN
ejpam-6228	27	93	attacks	attack	NOUN
ejpam-6228	27	94	while	while	SCONJ
ejpam-6228	27	95	retaining	retain	VERB
ejpam-6228	27	96	the56	the56	PROPN
ejpam-6228	27	97	visual	visual	ADJ
ejpam-6228	27	98	data	datum	NOUN
ejpam-6228	27	99	quality	quality	NOUN
ejpam-6228	27	100	.	.	PUNCT
ejpam-6228	28	1	in	in	ADP
ejpam-6228	28	2	contrast	contrast	NOUN
ejpam-6228	28	3	to	to	ADP
ejpam-6228	28	4	grayscale	grayscale	NOUN
ejpam-6228	28	5	images	image	NOUN
ejpam-6228	28	6	whose	whose	DET
ejpam-6228	28	7	pixel	pixel	NOUN
ejpam-6228	28	8	intensity	intensity	NOUN
ejpam-6228	28	9	values	value	NOUN
ejpam-6228	28	10	lie	lie	VERB
ejpam-6228	28	11	in	in	ADP
ejpam-6228	28	12	only57	only57	NOUN
ejpam-6228	28	13	one	one	NUM
ejpam-6228	28	14	channel	channel	NOUN
ejpam-6228	28	15	,	,	PUNCT
ejpam-6228	28	16	rgb	rgb	PROPN
ejpam-6228	28	17	images	image	NOUN
ejpam-6228	28	18	contain	contain	VERB
ejpam-6228	28	19	three	three	NUM
ejpam-6228	28	20	interdependent	interdependent	ADJ
ejpam-6228	28	21	color	color	NOUN
ejpam-6228	28	22	channels	channel	NOUN
ejpam-6228	28	23	,	,	PUNCT
ejpam-6228	28	24	and	and	CCONJ
ejpam-6228	28	25	consequently58	consequently58	NOUN
ejpam-6228	28	26	there	there	PRON
ejpam-6228	28	27	exist	exist	VERB
ejpam-6228	28	28	specialized	specialized	ADJ
ejpam-6228	28	29	encryption	encryption	NOUN
ejpam-6228	28	30	techniques	technique	NOUN
ejpam-6228	28	31	to	to	PART
ejpam-6228	28	32	deal	deal	VERB
ejpam-6228	28	33	with	with	ADP
ejpam-6228	28	34	the	the	DET
ejpam-6228	28	35	multi	multi	ADJ
ejpam-6228	28	36	-	-	ADJ
ejpam-6228	28	37	dimensional	dimensional	ADJ
ejpam-6228	28	38	structure59	structure59	NOUN
ejpam-6228	28	39	of	of	ADP
ejpam-6228	28	40	the	the	DET
ejpam-6228	28	41	rgb	rgb	PROPN
ejpam-6228	28	42	images	image	NOUN
ejpam-6228	28	43	.	.	PUNCT
ejpam-6228	29	1	pixel	pixel	ADJ
ejpam-6228	29	2	-	-	PUNCT
ejpam-6228	29	3	level	level	NOUN
ejpam-6228	29	4	permutation	permutation	NOUN
ejpam-6228	29	5	and	and	CCONJ
ejpam-6228	29	6	diffusion	diffusion	NOUN
ejpam-6228	29	7	mechanisms	mechanism	NOUN
ejpam-6228	29	8	are	be	AUX
ejpam-6228	29	9	conventional;60	conventional;60	PROPN
ejpam-6228	29	10	m.	m.	PROPN
ejpam-6228	29	11	sajjad	sajjad	PROPN
ejpam-6228	29	12	,	,	PUNCT
ejpam-6228	29	13	n.	n.	PROPN
ejpam-6228	29	14	a.	a.	NOUN
ejpam-6228	29	15	alqwaifly	alqwaifly	PROPN
ejpam-6228	29	16	/	/	SYM
ejpam-6228	29	17	eur	eur	PROPN
ejpam-6228	29	18	.	.	PUNCT
ejpam-6228	30	1	j.	j.	PROPN
ejpam-6228	30	2	pure	pure	PROPN
ejpam-6228	30	3	appl	appl	PROPN
ejpam-6228	30	4	.	.	PROPN
ejpam-6228	30	5	math	math	PROPN
ejpam-6228	30	6	,	,	PUNCT
ejpam-6228	30	7	18	18	NUM
ejpam-6228	30	8	(	(	PUNCT
ejpam-6228	30	9	2	2	NUM
ejpam-6228	30	10	)	)	PUNCT
ejpam-6228	30	11	(	(	PUNCT
ejpam-6228	30	12	2025	2025	NUM
ejpam-6228	30	13	)	)	PUNCT
ejpam-6228	30	14	,	,	PUNCT
ejpam-6228	30	15	6228	6228	NUM
ejpam-6228	30	16	3	3	NUM
ejpam-6228	30	17	of	of	ADP
ejpam-6228	30	18	35	35	NUM
ejpam-6228	30	19	modern	modern	ADJ
ejpam-6228	30	20	approaches	approach	NOUN
ejpam-6228	30	21	involve	involve	VERB
ejpam-6228	30	22	the	the	DET
ejpam-6228	30	23	use	use	NOUN
ejpam-6228	30	24	of	of	ADP
ejpam-6228	30	25	chaos	chaos	NOUN
ejpam-6228	30	26	theory	theory	NOUN
ejpam-6228	30	27	,	,	PUNCT
ejpam-6228	30	28	fractal	fractal	ADJ
ejpam-6228	30	29	geometry	geometry	NOUN
ejpam-6228	30	30	or	or	CCONJ
ejpam-6228	30	31	dna	dna	PROPN
ejpam-6228	30	32	encryption61	encryption61	NOUN
ejpam-6228	30	33	with	with	ADP
ejpam-6228	30	34	strength	strength	NOUN
ejpam-6228	30	35	of	of	ADP
ejpam-6228	30	36	security	security	NOUN
ejpam-6228	30	37	and	and	CCONJ
ejpam-6228	30	38	efficiency	efficiency	NOUN
ejpam-6228	30	39	.	.	PUNCT
ejpam-6228	31	1	furthermore	furthermore	ADV
ejpam-6228	31	2	,	,	PUNCT
ejpam-6228	31	3	the	the	DET
ejpam-6228	31	4	encryption	encryption	NOUN
ejpam-6228	31	5	over	over	ADP
ejpam-6228	31	6	quaternion	quaternion	PROPN
ejpam-6228	31	7	and62	and62	PROPN
ejpam-6228	31	8	eisenstein	eisenstein	NOUN
ejpam-6228	31	9	integer	integer	NOUN
ejpam-6228	31	10	domains	domain	NOUN
ejpam-6228	31	11	is	be	AUX
ejpam-6228	31	12	also	also	ADV
ejpam-6228	31	13	more	more	ADV
ejpam-6228	31	14	robust	robust	ADJ
ejpam-6228	31	15	by	by	ADP
ejpam-6228	31	16	bringing	bring	VERB
ejpam-6228	31	17	in	in	ADP
ejpam-6228	31	18	structurally	structurally	ADV
ejpam-6228	31	19	higher	high	ADJ
ejpam-6228	31	20	dimen-63	dimen-63	PROPN
ejpam-6228	31	21	sions	sion	NOUN
ejpam-6228	31	22	into	into	ADP
ejpam-6228	31	23	the	the	DET
ejpam-6228	31	24	algebraic	algebraic	ADJ
ejpam-6228	31	25	structures	structure	NOUN
ejpam-6228	31	26	,	,	PUNCT
ejpam-6228	31	27	thereby	thereby	ADV
ejpam-6228	31	28	enhancing	enhance	VERB
ejpam-6228	31	29	randomness	randomness	NOUN
ejpam-6228	31	30	and	and	CCONJ
ejpam-6228	31	31	intrinsic	intrinsic	ADJ
ejpam-6228	31	32	security.64	security.64	NOUN
ejpam-6228	31	33	for	for	ADP
ejpam-6228	31	34	multiple	multiple	ADJ
ejpam-6228	31	35	image	image	NOUN
ejpam-6228	31	36	encryption	encryption	NOUN
ejpam-6228	31	37	applications	application	NOUN
ejpam-6228	31	38	,	,	PUNCT
ejpam-6228	31	39	joint	joint	ADJ
ejpam-6228	31	40	encryption	encryption	NOUN
ejpam-6228	31	41	schemes	scheme	NOUN
ejpam-6228	31	42	,	,	PUNCT
ejpam-6228	31	43	compressive	compressive	ADJ
ejpam-6228	31	44	sens-65	sens-65	PROPN
ejpam-6228	31	45	ing	ing	NOUN
ejpam-6228	31	46	,	,	PUNCT
ejpam-6228	31	47	etc	etc	X
ejpam-6228	31	48	.	.	X
ejpam-6228	31	49	,	,	PUNCT
ejpam-6228	31	50	are	be	AUX
ejpam-6228	31	51	used	use	VERB
ejpam-6228	31	52	for	for	ADP
ejpam-6228	31	53	simultaneous	simultaneous	ADJ
ejpam-6228	31	54	encryption	encryption	NOUN
ejpam-6228	31	55	and	and	CCONJ
ejpam-6228	31	56	,	,	PUNCT
ejpam-6228	31	57	at	at	ADP
ejpam-6228	31	58	the	the	DET
ejpam-6228	31	59	same	same	ADJ
ejpam-6228	31	60	time	time	NOUN
ejpam-6228	31	61	,	,	PUNCT
ejpam-6228	31	62	keeping	keep	VERB
ejpam-6228	31	63	complexity66	complexity66	NOUN
ejpam-6228	31	64	low	low	ADJ
ejpam-6228	31	65	.	.	PUNCT
ejpam-6228	32	1	moreover	moreover	ADV
ejpam-6228	32	2	,	,	PUNCT
ejpam-6228	32	3	real	real	ADJ
ejpam-6228	32	4	-	-	PUNCT
ejpam-6228	32	5	time	time	NOUN
ejpam-6228	32	6	image	image	NOUN
ejpam-6228	32	7	encryption	encryption	NOUN
ejpam-6228	32	8	using	use	VERB
ejpam-6228	32	9	a	a	DET
ejpam-6228	32	10	hybrid	hybrid	ADJ
ejpam-6228	32	11	model	model	NOUN
ejpam-6228	32	12	that	that	PRON
ejpam-6228	32	13	improves	improve	VERB
ejpam-6228	32	14	adapt-67	adapt-67	ADJ
ejpam-6228	32	15	ability	ability	NOUN
ejpam-6228	32	16	and	and	CCONJ
ejpam-6228	32	17	efficiency	efficiency	NOUN
ejpam-6228	32	18	was	be	AUX
ejpam-6228	32	19	also	also	ADV
ejpam-6228	32	20	explored	explore	VERB
ejpam-6228	32	21	by	by	ADP
ejpam-6228	32	22	combining	combine	VERB
ejpam-6228	32	23	deep	deep	ADJ
ejpam-6228	32	24	learning	learning	NOUN
ejpam-6228	32	25	and	and	CCONJ
ejpam-6228	32	26	cryptographic68	cryptographic68	VERB
ejpam-6228	32	27	techniques	technique	NOUN
ejpam-6228	32	28	.	.	PUNCT
ejpam-6228	33	1	moreover	moreover	ADV
ejpam-6228	33	2	,	,	PUNCT
ejpam-6228	33	3	robust	robust	ADJ
ejpam-6228	33	4	encryption	encryption	NOUN
ejpam-6228	33	5	mechanisms	mechanism	NOUN
ejpam-6228	33	6	for	for	ADP
ejpam-6228	33	7	rgb	rgb	PROPN
ejpam-6228	33	8	multimedia	multimedia	PROPN
ejpam-6228	33	9	data	datum	NOUN
ejpam-6228	33	10	are	be	AUX
ejpam-6228	33	11	de-69	de-69	ADV
ejpam-6228	33	12	sired	sire	VERB
ejpam-6228	33	13	due	due	ADP
ejpam-6228	33	14	to	to	ADP
ejpam-6228	33	15	the	the	DET
ejpam-6228	33	16	increasing	increase	VERB
ejpam-6228	33	17	demand	demand	NOUN
ejpam-6228	33	18	for	for	ADP
ejpam-6228	33	19	secure	secure	ADJ
ejpam-6228	33	20	image	image	NOUN
ejpam-6228	33	21	transmission	transmission	NOUN
ejpam-6228	33	22	in	in	ADP
ejpam-6228	33	23	medical	medical	ADJ
ejpam-6228	33	24	imaging,70	imaging,70	NOUN
ejpam-6228	33	25	surveillance	surveillance	NOUN
ejpam-6228	33	26	,	,	PUNCT
ejpam-6228	33	27	etc	etc	X
ejpam-6228	34	1	[	[	X
ejpam-6228	34	2	4	4	NUM
ejpam-6228	34	3	,	,	PUNCT
ejpam-6228	34	4	5].71	5].71	NUM
ejpam-6228	34	5	72	72	NUM
ejpam-6228	34	6	quaternion	quaternion	NOUN
ejpam-6228	34	7	integers	integer	NOUN
ejpam-6228	34	8	allow	allow	VERB
ejpam-6228	34	9	us	we	PRON
ejpam-6228	34	10	to	to	PART
ejpam-6228	34	11	move	move	VERB
ejpam-6228	34	12	past	past	ADP
ejpam-6228	34	13	complex	complex	ADJ
ejpam-6228	34	14	numbers	number	NOUN
ejpam-6228	34	15	and	and	CCONJ
ejpam-6228	34	16	take	take	VERB
ejpam-6228	34	17	an	an	DET
ejpam-6228	34	18	extension	extension	NOUN
ejpam-6228	34	19	of73	of73	PROPN
ejpam-6228	34	20	algebra	algebra	NOUN
ejpam-6228	34	21	into	into	ADP
ejpam-6228	34	22	a	a	DET
ejpam-6228	34	23	four	four	NUM
ejpam-6228	34	24	-	-	PUNCT
ejpam-6228	34	25	dimensional	dimensional	ADJ
ejpam-6228	34	26	algebraic	algebraic	ADJ
ejpam-6228	34	27	system	system	NOUN
ejpam-6228	34	28	with	with	ADP
ejpam-6228	34	29	some	some	DET
ejpam-6228	34	30	unique	unique	ADJ
ejpam-6228	34	31	properties	property	NOUN
ejpam-6228	34	32	that	that	PRON
ejpam-6228	34	33	have74	have74	NOUN
ejpam-6228	34	34	been	be	AUX
ejpam-6228	34	35	used	use	VERB
ejpam-6228	34	36	in	in	ADP
ejpam-6228	34	37	cryptography	cryptography	NOUN
ejpam-6228	34	38	,	,	PUNCT
ejpam-6228	34	39	coding	code	VERB
ejpam-6228	34	40	theory	theory	NOUN
ejpam-6228	34	41	and	and	CCONJ
ejpam-6228	34	42	secure	secure	ADJ
ejpam-6228	34	43	communications	communication	NOUN
ejpam-6228	34	44	.	.	PUNCT
ejpam-6228	35	1	quaternion	quaternion	NOUN
ejpam-6228	35	2	alge-75	alge-75	PROPN
ejpam-6228	35	3	bras	bra	NOUN
ejpam-6228	35	4	are	be	AUX
ejpam-6228	35	5	defined	define	VERB
ejpam-6228	35	6	as	as	ADP
ejpam-6228	35	7	the	the	DET
ejpam-6228	35	8	non	non	ADJ
ejpam-6228	35	9	-	-	ADJ
ejpam-6228	35	10	commutative	commutative	ADJ
ejpam-6228	35	11	extension	extension	NOUN
ejpam-6228	35	12	of	of	ADP
ejpam-6228	35	13	the	the	DET
ejpam-6228	35	14	gaussian	gaussian	NOUN
ejpam-6228	35	15	and	and	CCONJ
ejpam-6228	35	16	eisenstein	eisenstein	PROPN
ejpam-6228	35	17	integers76	integers76	PROPN
ejpam-6228	35	18	and	and	CCONJ
ejpam-6228	35	19	yield	yield	VERB
ejpam-6228	35	20	a	a	DET
ejpam-6228	35	21	rich	rich	ADJ
ejpam-6228	35	22	mathematical	mathematical	ADJ
ejpam-6228	35	23	framework	framework	NOUN
ejpam-6228	35	24	in	in	ADP
ejpam-6228	35	25	which	which	PRON
ejpam-6228	35	26	one	one	PRON
ejpam-6228	35	27	can	can	AUX
ejpam-6228	35	28	define	define	VERB
ejpam-6228	35	29	cryptographic	cryptographic	ADJ
ejpam-6228	35	30	primitives77	primitives77	NOUN
ejpam-6228	35	31	with	with	ADP
ejpam-6228	35	32	enhanced	enhanced	ADJ
ejpam-6228	35	33	security	security	NOUN
ejpam-6228	35	34	characteristics	characteristic	NOUN
ejpam-6228	35	35	.	.	PUNCT
ejpam-6228	36	1	such	such	ADJ
ejpam-6228	36	2	inherent	inherent	ADJ
ejpam-6228	36	3	structure	structure	NOUN
ejpam-6228	36	4	allows	allow	VERB
ejpam-6228	36	5	the	the	DET
ejpam-6228	36	6	development	development	NOUN
ejpam-6228	36	7	of78	of78	PROPN
ejpam-6228	36	8	spns	spns	NOUN
ejpam-6228	36	9	with	with	ADP
ejpam-6228	36	10	improved	improved	ADJ
ejpam-6228	36	11	confusion	confusion	NOUN
ejpam-6228	36	12	and	and	CCONJ
ejpam-6228	36	13	diffusion	diffusion	NOUN
ejpam-6228	36	14	properties	property	NOUN
ejpam-6228	36	15	and	and	CCONJ
ejpam-6228	36	16	secure	secure	VERB
ejpam-6228	36	17	realization	realization	NOUN
ejpam-6228	36	18	of	of	ADP
ejpam-6228	36	19	encryp-79	encryp-79	PROPN
ejpam-6228	36	20	tion	tion	NOUN
ejpam-6228	36	21	schemes	scheme	NOUN
ejpam-6228	36	22	.	.	PUNCT
ejpam-6228	37	1	quaternion	quaternion	NOUN
ejpam-6228	37	2	-	-	PUNCT
ejpam-6228	37	3	based	base	VERB
ejpam-6228	37	4	constructions	construction	NOUN
ejpam-6228	37	5	in	in	ADP
ejpam-6228	37	6	error	error	NOUN
ejpam-6228	37	7	-	-	PUNCT
ejpam-6228	37	8	correcting	correct	VERB
ejpam-6228	37	9	codes	code	NOUN
ejpam-6228	37	10	help	help	VERB
ejpam-6228	37	11	in	in	ADP
ejpam-6228	37	12	robust80	robust80	NOUN
ejpam-6228	37	13	channel	channel	NOUN
ejpam-6228	37	14	coding	code	VERB
ejpam-6228	37	15	techniques	technique	NOUN
ejpam-6228	37	16	,	,	PUNCT
ejpam-6228	37	17	which	which	PRON
ejpam-6228	37	18	enhance	enhance	VERB
ejpam-6228	37	19	the	the	DET
ejpam-6228	37	20	data	data	NOUN
ejpam-6228	37	21	reliability	reliability	NOUN
ejpam-6228	37	22	in	in	ADP
ejpam-6228	37	23	a	a	DET
ejpam-6228	37	24	noisy	noisy	ADJ
ejpam-6228	37	25	communication81	communication81	NOUN
ejpam-6228	37	26	environment	environment	NOUN
ejpam-6228	37	27	.	.	PUNCT
ejpam-6228	38	1	moreover	moreover	ADV
ejpam-6228	38	2	,	,	PUNCT
ejpam-6228	38	3	quaternion	quaternion	ADJ
ejpam-6228	38	4	integer	integer	NOUN
ejpam-6228	38	5	-	-	PUNCT
ejpam-6228	38	6	based	base	VERB
ejpam-6228	38	7	cryptosystems	cryptosystem	NOUN
ejpam-6228	38	8	have	have	AUX
ejpam-6228	38	9	also	also	ADV
ejpam-6228	38	10	been	be	AUX
ejpam-6228	38	11	used	use	VERB
ejpam-6228	38	12	for82	for82	VERB
ejpam-6228	38	13	public	public	ADJ
ejpam-6228	38	14	key	key	ADJ
ejpam-6228	38	15	encryption	encryption	NOUN
ejpam-6228	38	16	,	,	PUNCT
ejpam-6228	38	17	digital	digital	ADJ
ejpam-6228	38	18	signatures	signature	NOUN
ejpam-6228	38	19	and	and	CCONJ
ejpam-6228	38	20	secure	secure	VERB
ejpam-6228	38	21	key	key	ADJ
ejpam-6228	38	22	exchange	exchange	NOUN
ejpam-6228	38	23	protocols	protocol	NOUN
ejpam-6228	38	24	using	use	VERB
ejpam-6228	38	25	their83	their83	PROPN
ejpam-6228	38	26	algebraic	algebraic	ADJ
ejpam-6228	38	27	complexity	complexity	NOUN
ejpam-6228	38	28	that	that	PRON
ejpam-6228	38	29	makes	make	VERB
ejpam-6228	38	30	them	they	PRON
ejpam-6228	38	31	resistant	resistant	ADJ
ejpam-6228	38	32	to	to	ADP
ejpam-6228	38	33	conventional	conventional	ADJ
ejpam-6228	38	34	cryptanalytic	cryptanalytic	ADJ
ejpam-6228	38	35	attacks	attack	NOUN
ejpam-6228	38	36	.	.	PUNCT
ejpam-6228	39	1	in-84	in-84	PROPN
ejpam-6228	39	2	deed	deed	PROPN
ejpam-6228	39	3	,	,	PUNCT
ejpam-6228	39	4	recent	recent	ADJ
ejpam-6228	39	5	research	research	NOUN
ejpam-6228	39	6	also	also	ADV
ejpam-6228	39	7	explores	explore	VERB
ejpam-6228	39	8	their	their	PRON
ejpam-6228	39	9	usage	usage	NOUN
ejpam-6228	39	10	in	in	ADP
ejpam-6228	39	11	image	image	NOUN
ejpam-6228	39	12	and	and	CCONJ
ejpam-6228	39	13	signal	signal	NOUN
ejpam-6228	39	14	processing	processing	NOUN
ejpam-6228	39	15	,	,	PUNCT
ejpam-6228	39	16	specifically85	specifically85	NOUN
ejpam-6228	39	17	in	in	ADP
ejpam-6228	39	18	extracting	extract	VERB
ejpam-6228	39	19	new	new	ADJ
ejpam-6228	39	20	and	and	CCONJ
ejpam-6228	39	21	secure	secure	ADJ
ejpam-6228	39	22	features	feature	NOUN
ejpam-6228	39	23	in	in	ADP
ejpam-6228	39	24	image	image	NOUN
ejpam-6228	39	25	and	and	CCONJ
ejpam-6228	39	26	signal	signal	NOUN
ejpam-6228	39	27	representation	representation	NOUN
ejpam-6228	39	28	.	.	PUNCT
ejpam-6228	40	1	also	also	ADV
ejpam-6228	40	2	,	,	PUNCT
ejpam-6228	40	3	with	with	ADP
ejpam-6228	40	4	the86	the86	PROPN
ejpam-6228	40	5	growing	grow	VERB
ejpam-6228	40	6	evolution	evolution	NOUN
ejpam-6228	40	7	in	in	ADP
ejpam-6228	40	8	the	the	DET
ejpam-6228	40	9	security	security	NOUN
ejpam-6228	40	10	threats	threat	NOUN
ejpam-6228	40	11	,	,	PUNCT
ejpam-6228	40	12	the	the	DET
ejpam-6228	40	13	integration	integration	NOUN
ejpam-6228	40	14	of	of	ADP
ejpam-6228	40	15	quaternion	quaternion	NOUN
ejpam-6228	40	16	-	-	PUNCT
ejpam-6228	40	17	based	base	VERB
ejpam-6228	40	18	mathemat-87	mathemat-87	PROPN
ejpam-6228	40	19	ical	ical	NOUN
ejpam-6228	40	20	structures	structure	NOUN
ejpam-6228	40	21	in	in	ADP
ejpam-6228	40	22	the	the	DET
ejpam-6228	40	23	modern	modern	ADJ
ejpam-6228	40	24	cryptographic	cryptographic	ADJ
ejpam-6228	40	25	systems	system	NOUN
ejpam-6228	40	26	can	can	AUX
ejpam-6228	40	27	open	open	VERB
ejpam-6228	40	28	a	a	DET
ejpam-6228	40	29	way	way	NOUN
ejpam-6228	40	30	to	to	PART
ejpam-6228	40	31	develop	develop	VERB
ejpam-6228	40	32	enhanced88	enhanced88	ADJ
ejpam-6228	40	33	configurable	configurable	ADJ
ejpam-6228	40	34	cryptographic	cryptographic	ADJ
ejpam-6228	40	35	information	information	NOUN
ejpam-6228	40	36	spread	spread	VERB
ejpam-6228	40	37	algorithms	algorithm	NOUN
ejpam-6228	40	38	with	with	ADP
ejpam-6228	40	39	high	high	ADJ
ejpam-6228	40	40	performance	performance	NOUN
ejpam-6228	40	41	and	and	CCONJ
ejpam-6228	40	42	en-89	en-89	NOUN
ejpam-6228	40	43	hanced	hance	VERB
ejpam-6228	40	44	resistance	resistance	NOUN
ejpam-6228	40	45	towards	towards	ADP
ejpam-6228	40	46	the	the	DET
ejpam-6228	40	47	modern	modern	ADJ
ejpam-6228	40	48	attack	attack	NOUN
ejpam-6228	40	49	vectors	vector	NOUN
ejpam-6228	41	1	[	[	X
ejpam-6228	41	2	6–8].90	6–8].90	NUM
ejpam-6228	41	3	91	91	NUM
ejpam-6228	41	4	to	to	PART
ejpam-6228	41	5	begin	begin	VERB
ejpam-6228	41	6	with	with	ADP
ejpam-6228	41	7	,	,	PUNCT
ejpam-6228	41	8	the	the	DET
ejpam-6228	41	9	encryption	encryption	NOUN
ejpam-6228	41	10	system	system	NOUN
ejpam-6228	41	11	is	be	AUX
ejpam-6228	41	12	based	base	VERB
ejpam-6228	41	13	on	on	ADP
ejpam-6228	41	14	algebraic	algebraic	ADJ
ejpam-6228	41	15	structures	structure	NOUN
ejpam-6228	41	16	and	and	CCONJ
ejpam-6228	41	17	multimedia92	multimedia92	VERB
ejpam-6228	41	18	security	security	NOUN
ejpam-6228	41	19	,	,	PUNCT
ejpam-6228	41	20	which	which	PRON
ejpam-6228	41	21	is	be	AUX
ejpam-6228	41	22	now	now	ADV
ejpam-6228	41	23	a	a	DET
ejpam-6228	41	24	key	key	ADJ
ejpam-6228	41	25	component	component	NOUN
ejpam-6228	41	26	in	in	ADP
ejpam-6228	41	27	the	the	DET
ejpam-6228	41	28	encryption	encryption	NOUN
ejpam-6228	41	29	schemes	scheme	NOUN
ejpam-6228	41	30	.	.	PUNCT
ejpam-6228	42	1	on	on	ADP
ejpam-6228	42	2	the	the	DET
ejpam-6228	42	3	other	other	ADJ
ejpam-6228	42	4	hand,93	hand,93	NOUN
ejpam-6228	42	5	menezes	meneze	NOUN
ejpam-6228	42	6	et	et	PROPN
ejpam-6228	42	7	al	al	PROPN
ejpam-6228	42	8	.	.	PUNCT
ejpam-6228	43	1	[	[	X
ejpam-6228	43	2	1	1	NUM
ejpam-6228	43	3	]	]	PUNCT
ejpam-6228	43	4	report	report	NOUN
ejpam-6228	43	5	in	in	ADP
ejpam-6228	43	6	detail	detail	NOUN
ejpam-6228	43	7	traditional	traditional	ADJ
ejpam-6228	43	8	cryptographic	cryptographic	ADJ
ejpam-6228	43	9	methods	method	NOUN
ejpam-6228	43	10	which	which	PRON
ejpam-6228	43	11	offer	offer	VERB
ejpam-6228	43	12	strong	strong	ADJ
ejpam-6228	43	13	and94	and94	PROPN
ejpam-6228	43	14	secure	secure	ADJ
ejpam-6228	43	15	communications	communication	NOUN
ejpam-6228	43	16	.	.	PUNCT
ejpam-6228	44	1	these	these	DET
ejpam-6228	44	2	challenges	challenge	NOUN
ejpam-6228	44	3	,	,	PUNCT
ejpam-6228	44	4	however	however	ADV
ejpam-6228	44	5	,	,	PUNCT
ejpam-6228	44	6	call	call	VERB
ejpam-6228	44	7	for	for	ADP
ejpam-6228	44	8	the	the	DET
ejpam-6228	44	9	adoption	adoption	NOUN
ejpam-6228	44	10	of	of	ADP
ejpam-6228	44	11	the	the	DET
ejpam-6228	44	12	advanced95	advanced95	NOUN
ejpam-6228	44	13	mathematical	mathematical	ADJ
ejpam-6228	44	14	structures	structure	NOUN
ejpam-6228	44	15	with	with	ADP
ejpam-6228	44	16	quaternion	quaternion	NOUN
ejpam-6228	44	17	integers	integer	NOUN
ejpam-6228	44	18	,	,	PUNCT
ejpam-6228	44	19	which	which	PRON
ejpam-6228	44	20	allow	allow	VERB
ejpam-6228	44	21	more	more	ADJ
ejpam-6228	44	22	algebraic	algebraic	ADJ
ejpam-6228	44	23	properties96	properties96	NOUN
ejpam-6228	44	24	in	in	ADP
ejpam-6228	44	25	the	the	DET
ejpam-6228	44	26	encryption	encryption	NOUN
ejpam-6228	44	27	and	and	CCONJ
ejpam-6228	44	28	error	error	NOUN
ejpam-6228	44	29	correction	correction	NOUN
ejpam-6228	44	30	[	[	X
ejpam-6228	44	31	6	6	NUM
ejpam-6228	44	32	]	]	PUNCT
ejpam-6228	44	33	.	.	PUNCT
ejpam-6228	45	1	ozen	ozen	NOUN
ejpam-6228	45	2	and	and	CCONJ
ejpam-6228	45	3	guzeltepe	guzeltepe	NOUN
ejpam-6228	45	4	[	[	X
ejpam-6228	45	5	9	9	NUM
ejpam-6228	45	6	,	,	PUNCT
ejpam-6228	45	7	10	10	NUM
ejpam-6228	45	8	]	]	PUNCT
ejpam-6228	45	9	,	,	PUNCT
ejpam-6228	45	10	which	which	PRON
ejpam-6228	45	11	bring	bring	VERB
ejpam-6228	45	12	the97	the97	PRON
ejpam-6228	45	13	use	use	NOUN
ejpam-6228	45	14	of	of	ADP
ejpam-6228	45	15	quaternion	quaternion	NOUN
ejpam-6228	45	16	integers	integer	NOUN
ejpam-6228	45	17	into	into	ADP
ejpam-6228	45	18	cyclic	cyclic	ADJ
ejpam-6228	45	19	codes	code	NOUN
ejpam-6228	45	20	,	,	PUNCT
ejpam-6228	45	21	and	and	CCONJ
ejpam-6228	45	22	hence	hence	ADV
ejpam-6228	45	23	into	into	ADP
ejpam-6228	45	24	robust	robust	ADJ
ejpam-6228	45	25	encryption	encryption	NOUN
ejpam-6228	45	26	schemes.98	schemes.98	NOUN
ejpam-6228	45	27	shah	shah	NOUN
ejpam-6228	45	28	and	and	CCONJ
ejpam-6228	45	29	rasool	rasool	NOUN
ejpam-6228	45	30	[	[	X
ejpam-6228	45	31	8	8	NUM
ejpam-6228	45	32	]	]	PUNCT
ejpam-6228	45	33	also	also	ADV
ejpam-6228	45	34	develop	develop	VERB
ejpam-6228	45	35	this	this	DET
ejpam-6228	45	36	research	research	NOUN
ejpam-6228	45	37	by	by	ADP
ejpam-6228	45	38	demonstrating	demonstrate	VERB
ejpam-6228	45	39	how	how	SCONJ
ejpam-6228	45	40	quaternion	quaternion	NOUN
ejpam-6228	45	41	-	-	PUNCT
ejpam-6228	45	42	based99	based99	NOUN
ejpam-6228	45	43	coding	coding	NOUN
ejpam-6228	45	44	can	can	AUX
ejpam-6228	45	45	be	be	AUX
ejpam-6228	45	46	advantageous	advantageous	ADJ
ejpam-6228	45	47	in	in	ADP
ejpam-6228	45	48	secure	secure	ADJ
ejpam-6228	45	49	data	datum	NOUN
ejpam-6228	45	50	transmission	transmission	NOUN
ejpam-6228	45	51	.	.	PUNCT
ejpam-6228	46	1	more	more	ADV
ejpam-6228	46	2	recently	recently	ADV
ejpam-6228	46	3	,	,	PUNCT
ejpam-6228	46	4	sajjad	sajjad	PROPN
ejpam-6228	46	5	and	and	CCONJ
ejpam-6228	46	6	shah100	shah100	PROPN
ejpam-6228	46	7	[	[	X
ejpam-6228	46	8	7	7	X
ejpam-6228	46	9	]	]	PUNCT
ejpam-6228	46	10	suggest	suggest	VERB
ejpam-6228	46	11	a	a	DET
ejpam-6228	46	12	version	version	NOUN
ejpam-6228	46	13	of	of	ADP
ejpam-6228	46	14	the	the	DET
ejpam-6228	46	15	berlekamp	berlekamp	NOUN
ejpam-6228	46	16	–	–	PUNCT
ejpam-6228	46	17	massey	massey	NOUN
ejpam-6228	46	18	algorithm	algorithm	NOUN
ejpam-6228	46	19	for	for	ADP
ejpam-6228	46	20	decoding	decode	VERB
ejpam-6228	46	21	cyclic	cyclic	ADJ
ejpam-6228	46	22	codes	code	NOUN
ejpam-6228	46	23	over101	over101	PROPN
ejpam-6228	46	24	quaternion	quaternion	NOUN
ejpam-6228	46	25	integers	integer	NOUN
ejpam-6228	46	26	,	,	PUNCT
ejpam-6228	46	27	which	which	PRON
ejpam-6228	46	28	further	far	ADV
ejpam-6228	46	29	confirms	confirm	VERB
ejpam-6228	46	30	their	their	PRON
ejpam-6228	46	31	cryptographic	cryptographic	ADJ
ejpam-6228	46	32	power	power	NOUN
ejpam-6228	46	33	.	.	PUNCT
ejpam-6228	47	1	additionally	additionally	ADV
ejpam-6228	47	2	,	,	PUNCT
ejpam-6228	47	3	saj-102	saj-102	PROPN
ejpam-6228	47	4	jad	jad	PROPN
ejpam-6228	47	5	et	et	PROPN
ejpam-6228	47	6	al	al	PROPN
ejpam-6228	47	7	.	.	PUNCT
ejpam-6228	48	1	[	[	X
ejpam-6228	48	2	11	11	NUM
ejpam-6228	48	3	]	]	PUNCT
ejpam-6228	48	4	give	give	VERB
ejpam-6228	48	5	higher	high	ADJ
ejpam-6228	48	6	-	-	PUNCT
ejpam-6228	48	7	length	length	NOUN
ejpam-6228	48	8	cyclic	cyclic	NOUN
ejpam-6228	48	9	codes	code	NOUN
ejpam-6228	48	10	based	base	VERB
ejpam-6228	48	11	on	on	ADP
ejpam-6228	48	12	quaternion	quaternion	NOUN
ejpam-6228	48	13	integers	integer	NOUN
ejpam-6228	48	14	as	as	ADV
ejpam-6228	48	15	well	well	ADV
ejpam-6228	48	16	as	as	ADP
ejpam-6228	48	17	new103	new103	PROPN
ejpam-6228	48	18	m.	m.	PROPN
ejpam-6228	48	19	sajjad	sajjad	PROPN
ejpam-6228	48	20	,	,	PUNCT
ejpam-6228	48	21	n.	n.	PROPN
ejpam-6228	48	22	a.	a.	NOUN
ejpam-6228	48	23	alqwaifly	alqwaifly	PROPN
ejpam-6228	48	24	/	/	SYM
ejpam-6228	48	25	eur	eur	PROPN
ejpam-6228	48	26	.	.	PUNCT
ejpam-6228	49	1	j.	j.	PROPN
ejpam-6228	49	2	pure	pure	PROPN
ejpam-6228	49	3	appl	appl	PROPN
ejpam-6228	49	4	.	.	PROPN
ejpam-6228	49	5	math	math	PROPN
ejpam-6228	49	6	,	,	PUNCT
ejpam-6228	49	7	18	18	NUM
ejpam-6228	49	8	(	(	PUNCT
ejpam-6228	49	9	2	2	NUM
ejpam-6228	49	10	)	)	PUNCT
ejpam-6228	49	11	(	(	PUNCT
ejpam-6228	49	12	2025	2025	NUM
ejpam-6228	49	13	)	)	PUNCT
ejpam-6228	49	14	,	,	PUNCT
ejpam-6228	49	15	6228	6228	NUM
ejpam-6228	49	16	4	4	NUM
ejpam-6228	49	17	of	of	ADP
ejpam-6228	49	18	35	35	NUM
ejpam-6228	49	19	decoding	decode	VERB
ejpam-6228	49	20	algorithms	algorithm	NOUN
ejpam-6228	49	21	for	for	ADP
ejpam-6228	49	22	better	well	ADJ
ejpam-6228	49	23	error	error	NOUN
ejpam-6228	49	24	resilience	resilience	NOUN
ejpam-6228	49	25	.	.	PUNCT
ejpam-6228	50	1	s	s	NOUN
ejpam-6228	50	2	-	-	NOUN
ejpam-6228	50	3	boxes	box	NOUN
ejpam-6228	50	4	are	be	AUX
ejpam-6228	50	5	fundamental	fundamental	ADJ
ejpam-6228	50	6	nonlinear	nonlinear	ADJ
ejpam-6228	50	7	com-104	com-104	NOUN
ejpam-6228	50	8	ponents	ponent	NOUN
ejpam-6228	50	9	in	in	ADP
ejpam-6228	50	10	symmetric	symmetric	ADJ
ejpam-6228	50	11	cryptography	cryptography	NOUN
ejpam-6228	50	12	to	to	PART
ejpam-6228	50	13	make	make	VERB
ejpam-6228	50	14	it	it	PRON
ejpam-6228	50	15	secure	secure	ADJ
ejpam-6228	50	16	by	by	ADP
ejpam-6228	50	17	introducing	introduce	VERB
ejpam-6228	50	18	confusion	confusion	NOUN
ejpam-6228	50	19	.	.	PUNCT
ejpam-6228	51	1	khan	khan	PROPN
ejpam-6228	51	2	et105	et105	PROPN
ejpam-6228	51	3	al	al	PROPN
ejpam-6228	51	4	.	.	PUNCT
ejpam-6228	52	1	[	[	X
ejpam-6228	52	2	3	3	X
ejpam-6228	52	3	]	]	PUNCT
ejpam-6228	52	4	provide	provide	VERB
ejpam-6228	52	5	more	more	ADJ
ejpam-6228	52	6	motivation	motivation	NOUN
ejpam-6228	52	7	for	for	ADP
ejpam-6228	52	8	the	the	DET
ejpam-6228	52	9	construction	construction	NOUN
ejpam-6228	52	10	of	of	ADP
ejpam-6228	52	11	strong	strong	ADJ
ejpam-6228	52	12	s	s	NOUN
ejpam-6228	52	13	-	-	NOUN
ejpam-6228	52	14	boxes	box	NOUN
ejpam-6228	52	15	by	by	ADP
ejpam-6228	52	16	noting	note	VERB
ejpam-6228	52	17	that	that	SCONJ
ejpam-6228	52	18	this106	this106	PROPN
ejpam-6228	52	19	remains	remain	VERB
ejpam-6228	52	20	a	a	DET
ejpam-6228	52	21	focal	focal	ADJ
ejpam-6228	52	22	area	area	NOUN
ejpam-6228	52	23	of	of	ADP
ejpam-6228	52	24	research	research	NOUN
ejpam-6228	52	25	,	,	PUNCT
ejpam-6228	52	26	and	and	CCONJ
ejpam-6228	52	27	we	we	PRON
ejpam-6228	52	28	use	use	VERB
ejpam-6228	52	29	chaotic	chaotic	ADJ
ejpam-6228	52	30	lorenz	lorenz	PROPN
ejpam-6228	52	31	systems	system	NOUN
ejpam-6228	52	32	to	to	PART
ejpam-6228	52	33	construct	construct	VERB
ejpam-6228	52	34	robust107	robust107	PROPN
ejpam-6228	52	35	substitution	substitution	NOUN
ejpam-6228	52	36	boxes	box	NOUN
ejpam-6228	52	37	.	.	PUNCT
ejpam-6228	53	1	carlet	carlet	NOUN
ejpam-6228	53	2	and	and	CCONJ
ejpam-6228	53	3	ding	ding	NOUN
ejpam-6228	53	4	[	[	X
ejpam-6228	53	5	2	2	NUM
ejpam-6228	53	6	]	]	PUNCT
ejpam-6228	53	7	give	give	VERB
ejpam-6228	53	8	a	a	DET
ejpam-6228	53	9	comprehensive	comprehensive	ADJ
ejpam-6228	53	10	consideration	consideration	NOUN
ejpam-6228	53	11	on	on	ADP
ejpam-6228	53	12	how	how	SCONJ
ejpam-6228	53	13	to108	to108	PROPN
ejpam-6228	53	14	analyze	analyze	VERB
ejpam-6228	53	15	s	s	PROPN
ejpam-6228	53	16	-	-	PUNCT
ejpam-6228	53	17	box	box	NOUN
ejpam-6228	53	18	nonlinearities	nonlinearitie	NOUN
ejpam-6228	53	19	from	from	ADP
ejpam-6228	53	20	a	a	DET
ejpam-6228	53	21	cryptographic	cryptographic	ADJ
ejpam-6228	53	22	point	point	NOUN
ejpam-6228	53	23	of	of	ADP
ejpam-6228	53	24	view	view	NOUN
ejpam-6228	53	25	.	.	PUNCT
ejpam-6228	54	1	these	these	DET
ejpam-6228	54	2	concepts	concept	NOUN
ejpam-6228	54	3	are	be	AUX
ejpam-6228	54	4	then109	then109	PROPN
ejpam-6228	54	5	utilized	utilize	VERB
ejpam-6228	54	6	to	to	PART
ejpam-6228	54	7	design	design	VERB
ejpam-6228	54	8	s	s	NOUN
ejpam-6228	54	9	-	-	NOUN
ejpam-6228	54	10	boxes	box	NOUN
ejpam-6228	54	11	over	over	ADP
ejpam-6228	54	12	gaussian	gaussian	ADJ
ejpam-6228	54	13	and	and	CCONJ
ejpam-6228	54	14	eisenstein	eisenstein	NOUN
ejpam-6228	54	15	integers	integer	NOUN
ejpam-6228	54	16	by	by	ADP
ejpam-6228	54	17	sajjad	sajjad	PROPN
ejpam-6228	54	18	et	et	PROPN
ejpam-6228	54	19	al	al	PROPN
ejpam-6228	54	20	.	.	PUNCT
ejpam-6228	55	1	[	[	X
ejpam-6228	55	2	12	12	NUM
ejpam-6228	55	3	,	,	PUNCT
ejpam-6228	55	4	13]110	13]110	NUM
ejpam-6228	55	5	and	and	CCONJ
ejpam-6228	55	6	shown	show	VERB
ejpam-6228	55	7	to	to	PART
ejpam-6228	55	8	be	be	AUX
ejpam-6228	55	9	useful	useful	ADJ
ejpam-6228	55	10	in	in	ADP
ejpam-6228	55	11	block	block	NOUN
ejpam-6228	55	12	cipher	cipher	ADJ
ejpam-6228	55	13	security	security	NOUN
ejpam-6228	55	14	.	.	PUNCT
ejpam-6228	56	1	moreover	moreover	ADV
ejpam-6228	56	2	,	,	PUNCT
ejpam-6228	56	3	in	in	ADP
ejpam-6228	56	4	[	[	X
ejpam-6228	56	5	4	4	X
ejpam-6228	56	6	]	]	PUNCT
ejpam-6228	56	7	the	the	DET
ejpam-6228	56	8	substitution	substitution	NOUN
ejpam-6228	56	9	box111	box111	NOUN
ejpam-6228	56	10	generator	generator	NOUN
ejpam-6228	56	11	is	be	AUX
ejpam-6228	56	12	introduced	introduce	VERB
ejpam-6228	56	13	that	that	PRON
ejpam-6228	56	14	is	be	AUX
ejpam-6228	56	15	purpose	purpose	NOUN
ejpam-6228	56	16	-	-	PUNCT
ejpam-6228	56	17	built	build	VERB
ejpam-6228	56	18	for	for	ADP
ejpam-6228	56	19	image	image	NOUN
ejpam-6228	56	20	encryption	encryption	NOUN
ejpam-6228	56	21	together	together	ADV
ejpam-6228	56	22	with	with	ADP
ejpam-6228	56	23	its	its	PRON
ejpam-6228	56	24	exten-112	exten-112	ADJ
ejpam-6228	56	25	sion	sion	NOUN
ejpam-6228	56	26	of	of	ADP
ejpam-6228	56	27	quaternion	quaternion	NOUN
ejpam-6228	56	28	intensity	intensity	NOUN
ejpam-6228	56	29	in	in	ADP
ejpam-6228	56	30	[	[	X
ejpam-6228	56	31	14	14	NUM
ejpam-6228	56	32	]	]	PUNCT
ejpam-6228	56	33	to	to	PART
ejpam-6228	56	34	achieve	achieve	VERB
ejpam-6228	56	35	enhanced	enhanced	ADJ
ejpam-6228	56	36	nonlinearity	nonlinearity	NOUN
ejpam-6228	56	37	and	and	CCONJ
ejpam-6228	56	38	security	security	NOUN
ejpam-6228	56	39	.	.	PUNCT
ejpam-6228	57	1	these113	these113	PROPN
ejpam-6228	57	2	results	result	NOUN
ejpam-6228	57	3	have	have	AUX
ejpam-6228	57	4	been	be	AUX
ejpam-6228	57	5	further	far	ADV
ejpam-6228	57	6	optimized	optimize	VERB
ejpam-6228	57	7	in	in	ADP
ejpam-6228	57	8	recent	recent	ADJ
ejpam-6228	57	9	research	research	NOUN
ejpam-6228	57	10	of	of	ADP
ejpam-6228	57	11	artuğer	artuğer	NOUN
ejpam-6228	57	12	and	and	CCONJ
ejpam-6228	57	13	özkaynak	özkaynak	PROPN
ejpam-6228	57	14	[	[	X
ejpam-6228	57	15	15	15	NUM
ejpam-6228	57	16	]	]	PUNCT
ejpam-6228	57	17	,	,	PUNCT
ejpam-6228	57	18	who114	who114	PROPN
ejpam-6228	57	19	applied	apply	VERB
ejpam-6228	57	20	randomized	randomized	ADJ
ejpam-6228	57	21	selection	selection	NOUN
ejpam-6228	57	22	methodologies	methodology	NOUN
ejpam-6228	57	23	to	to	ADP
ejpam-6228	57	24	s	s	NOUN
ejpam-6228	57	25	-	-	PUNCT
ejpam-6228	57	26	box	box	NOUN
ejpam-6228	57	27	nonlinearity.115	nonlinearity.115	PROPN
ejpam-6228	57	28	116	116	NUM
ejpam-6228	57	29	in	in	ADP
ejpam-6228	57	30	recent	recent	ADJ
ejpam-6228	57	31	years	year	NOUN
ejpam-6228	57	32	,	,	PUNCT
ejpam-6228	57	33	the	the	DET
ejpam-6228	57	34	increase	increase	NOUN
ejpam-6228	57	35	in	in	ADP
ejpam-6228	57	36	multimedia	multimedia	ADJ
ejpam-6228	57	37	communication	communication	NOUN
ejpam-6228	57	38	has	have	AUX
ejpam-6228	57	39	created	create	VERB
ejpam-6228	57	40	the	the	DET
ejpam-6228	57	41	need	need	NOUN
ejpam-6228	57	42	for117	for117	NOUN
ejpam-6228	57	43	image	image	NOUN
ejpam-6228	57	44	encryption	encryption	NOUN
ejpam-6228	57	45	,	,	PUNCT
ejpam-6228	57	46	especially	especially	ADV
ejpam-6228	57	47	with	with	ADP
ejpam-6228	57	48	rgb	rgb	PROPN
ejpam-6228	57	49	images	image	NOUN
ejpam-6228	57	50	.	.	PUNCT
ejpam-6228	58	1	an	an	DET
ejpam-6228	58	2	spn	spn	PROPN
ejpam-6228	58	3	-	-	PUNCT
ejpam-6228	58	4	based	base	VERB
ejpam-6228	58	5	rgb	rgb	PROPN
ejpam-6228	58	6	image	image	NOUN
ejpam-6228	58	7	encryption118	encryption118	PROPN
ejpam-6228	58	8	scheme	scheme	NOUN
ejpam-6228	58	9	over	over	ADP
ejpam-6228	58	10	gaussian	gaussian	ADJ
ejpam-6228	58	11	numbers	number	NOUN
ejpam-6228	58	12	is	be	AUX
ejpam-6228	58	13	proposed	propose	VERB
ejpam-6228	58	14	by	by	ADP
ejpam-6228	58	15	sajjad	sajjad	PROPN
ejpam-6228	58	16	et	et	PROPN
ejpam-6228	58	17	al	al	PROPN
ejpam-6228	58	18	.	.	PUNCT
ejpam-6228	59	1	[	[	X
ejpam-6228	59	2	5	5	NUM
ejpam-6228	59	3	]	]	PUNCT
ejpam-6228	59	4	,	,	PUNCT
ejpam-6228	59	5	and	and	CCONJ
ejpam-6228	59	6	it	it	PRON
ejpam-6228	59	7	is	be	AUX
ejpam-6228	59	8	shown	show	VERB
ejpam-6228	59	9	to	to	PART
ejpam-6228	59	10	be	be	AUX
ejpam-6228	59	11	more119	more119	PROPN
ejpam-6228	59	12	resistant	resistant	ADJ
ejpam-6228	59	13	to	to	ADP
ejpam-6228	59	14	statistical	statistical	ADJ
ejpam-6228	59	15	attacks	attack	NOUN
ejpam-6228	59	16	compared	compare	VERB
ejpam-6228	59	17	to	to	ADP
ejpam-6228	59	18	its	its	PRON
ejpam-6228	59	19	counterpart	counterpart	NOUN
ejpam-6228	59	20	over	over	ADP
ejpam-6228	59	21	a	a	DET
ejpam-6228	59	22	finite	finite	ADJ
ejpam-6228	59	23	field	field	NOUN
ejpam-6228	59	24	.	.	PUNCT
ejpam-6228	60	1	abd	abd	PROPN
ejpam-6228	60	2	el-120	el-120	PROPN
ejpam-6228	60	3	latif	latif	PROPN
ejpam-6228	60	4	et	et	PROPN
ejpam-6228	60	5	al	al	PROPN
ejpam-6228	60	6	.	.	PUNCT
ejpam-6228	61	1	[	[	X
ejpam-6228	61	2	16	16	NUM
ejpam-6228	61	3	]	]	PUNCT
ejpam-6228	61	4	use	use	VERB
ejpam-6228	61	5	quantum	quantum	NOUN
ejpam-6228	61	6	walk	walk	NOUN
ejpam-6228	61	7	-	-	PUNCT
ejpam-6228	61	8	based	base	VERB
ejpam-6228	61	9	pseudorandom	pseudorandom	NOUN
ejpam-6228	61	10	number	number	NOUN
ejpam-6228	61	11	generators	generator	NOUN
ejpam-6228	61	12	for	for	ADP
ejpam-6228	61	13	quantum121	quantum121	PROPN
ejpam-6228	61	14	color	color	NOUN
ejpam-6228	61	15	image	image	NOUN
ejpam-6228	61	16	encryption	encryption	NOUN
ejpam-6228	61	17	,	,	PUNCT
ejpam-6228	61	18	and	and	CCONJ
ejpam-6228	61	19	ibrahim	ibrahim	PROPN
ejpam-6228	61	20	and	and	CCONJ
ejpam-6228	61	21	alharbi	alharbi	PROPN
ejpam-6228	61	22	[	[	X
ejpam-6228	61	23	17	17	NUM
ejpam-6228	61	24	]	]	PUNCT
ejpam-6228	61	25	integrate	integrate	VERB
ejpam-6228	61	26	henon	henon	NOUN
ejpam-6228	61	27	maps	map	NOUN
ejpam-6228	61	28	and	and	CCONJ
ejpam-6228	61	29	elliptic122	elliptic122	PROPN
ejpam-6228	61	30	curve	curve	NOUN
ejpam-6228	61	31	cryptography	cryptography	NOUN
ejpam-6228	61	32	to	to	PART
ejpam-6228	61	33	provide	provide	VERB
ejpam-6228	61	34	efficient	efficient	ADJ
ejpam-6228	61	35	image	image	NOUN
ejpam-6228	61	36	security	security	NOUN
ejpam-6228	61	37	.	.	PUNCT
ejpam-6228	62	1	shamsi	shamsi	PROPN
ejpam-6228	62	2	and	and	CCONJ
ejpam-6228	62	3	laiphrakpam	laiphrakpam	NOUN
ejpam-6228	62	4	[	[	X
ejpam-6228	62	5	18	18	NUM
ejpam-6228	62	6	]	]	PUNCT
ejpam-6228	62	7	in	in	ADP
ejpam-6228	62	8	a123	a123	PROPN
ejpam-6228	62	9	similar	similar	ADJ
ejpam-6228	62	10	fashion	fashion	NOUN
ejpam-6228	62	11	widen	widen	VERB
ejpam-6228	62	12	the	the	DET
ejpam-6228	62	13	scope	scope	NOUN
ejpam-6228	62	14	of	of	ADP
ejpam-6228	62	15	multimedia	multimedia	NOUN
ejpam-6228	62	16	data	datum	NOUN
ejpam-6228	62	17	embedding	embed	VERB
ejpam-6228	62	18	to	to	ADP
ejpam-6228	62	19	the	the	DET
ejpam-6228	62	20	case	case	NOUN
ejpam-6228	62	21	of	of	ADP
ejpam-6228	62	22	audio	audio	ADJ
ejpam-6228	62	23	-	-	PUNCT
ejpam-6228	62	24	based124	based124	ADJ
ejpam-6228	62	25	image	image	NOUN
ejpam-6228	62	26	encryption	encryption	NOUN
ejpam-6228	62	27	.	.	PUNCT
ejpam-6228	63	1	consequently	consequently	ADV
ejpam-6228	63	2	,	,	PUNCT
ejpam-6228	63	3	wang	wang	PROPN
ejpam-6228	63	4	et	et	PROPN
ejpam-6228	63	5	al	al	PROPN
ejpam-6228	63	6	.	.	PUNCT
ejpam-6228	64	1	[	[	X
ejpam-6228	64	2	19	19	NUM
ejpam-6228	64	3	]	]	X
ejpam-6228	64	4	propose	propose	VERB
ejpam-6228	64	5	fast	fast	ADJ
ejpam-6228	64	6	encryption	encryption	NOUN
ejpam-6228	64	7	based	base	VERB
ejpam-6228	64	8	on	on	ADP
ejpam-6228	64	9	paral-125	paral-125	NOUN
ejpam-6228	64	10	lel	lel	PROPN
ejpam-6228	64	11	computing	computing	PROPN
ejpam-6228	64	12	,	,	PUNCT
ejpam-6228	64	13	while	while	SCONJ
ejpam-6228	64	14	cheng	cheng	PROPN
ejpam-6228	64	15	et	et	PROPN
ejpam-6228	64	16	al	al	PROPN
ejpam-6228	64	17	.	.	PUNCT
ejpam-6228	65	1	[	[	X
ejpam-6228	65	2	20	20	NUM
ejpam-6228	65	3	]	]	PUNCT
ejpam-6228	65	4	use	use	VERB
ejpam-6228	65	5	hyperchaotic	hyperchaotic	ADJ
ejpam-6228	65	6	systems	system	NOUN
ejpam-6228	65	7	and	and	CCONJ
ejpam-6228	65	8	permutation	permutation	NOUN
ejpam-6228	65	9	diffusion126	diffusion126	PROPN
ejpam-6228	65	10	architecture	architecture	NOUN
ejpam-6228	65	11	to	to	PART
ejpam-6228	65	12	enhance	enhance	VERB
ejpam-6228	65	13	the	the	DET
ejpam-6228	65	14	security	security	NOUN
ejpam-6228	65	15	.	.	PUNCT
ejpam-6228	66	1	malik	malik	PROPN
ejpam-6228	66	2	and	and	CCONJ
ejpam-6228	66	3	shah	shah	PROPN
ejpam-6228	66	4	[	[	X
ejpam-6228	66	5	21	21	NUM
ejpam-6228	66	6	]	]	PUNCT
ejpam-6228	66	7	also	also	ADV
ejpam-6228	66	8	design	design	VERB
ejpam-6228	66	9	a	a	DET
ejpam-6228	66	10	scheme	scheme	NOUN
ejpam-6228	66	11	for	for	ADP
ejpam-6228	66	12	multiple127	multiple127	PROPN
ejpam-6228	66	13	image	image	NOUN
ejpam-6228	66	14	encryption	encryption	NOUN
ejpam-6228	66	15	using	use	VERB
ejpam-6228	66	16	3d	3d	NUM
ejpam-6228	66	17	chaotic	chaotic	ADJ
ejpam-6228	66	18	maps	map	NOUN
ejpam-6228	66	19	which	which	PRON
ejpam-6228	66	20	utilize	utilize	VERB
ejpam-6228	66	21	the	the	DET
ejpam-6228	66	22	power	power	NOUN
ejpam-6228	66	23	of	of	ADP
ejpam-6228	66	24	chaos	chaos	NOUN
ejpam-6228	66	25	theory	theory	NOUN
ejpam-6228	66	26	in	in	ADP
ejpam-6228	66	27	mul-128	mul-128	PROPN
ejpam-6228	66	28	timedia	timedia	PROPN
ejpam-6228	66	29	security	security	NOUN
ejpam-6228	66	30	.	.	PUNCT
ejpam-6228	67	1	with	with	ADP
ejpam-6228	67	2	the	the	DET
ejpam-6228	67	3	development	development	NOUN
ejpam-6228	67	4	of	of	ADP
ejpam-6228	67	5	many	many	ADJ
ejpam-6228	67	6	advanced	advanced	ADJ
ejpam-6228	67	7	transformations	transformation	NOUN
ejpam-6228	67	8	and	and	CCONJ
ejpam-6228	67	9	chaotic129	chaotic129	PROPN
ejpam-6228	67	10	systems	system	NOUN
ejpam-6228	67	11	,	,	PUNCT
ejpam-6228	67	12	the	the	DET
ejpam-6228	67	13	multiple	multiple	ADJ
ejpam-6228	67	14	image	image	NOUN
ejpam-6228	67	15	encryption	encryption	NOUN
ejpam-6228	67	16	techniques	technique	NOUN
ejpam-6228	67	17	have	have	AUX
ejpam-6228	67	18	become	become	VERB
ejpam-6228	67	19	much	much	ADV
ejpam-6228	67	20	more	more	ADV
ejpam-6228	67	21	complex	complex	ADJ
ejpam-6228	67	22	.	.	PUNCT
ejpam-6228	68	1	both130	both130	PROPN
ejpam-6228	68	2	yin	yin	PROPN
ejpam-6228	68	3	and	and	CCONJ
ejpam-6228	68	4	wang	wang	PROPN
ejpam-6228	69	1	[	[	X
ejpam-6228	69	2	22	22	NUM
ejpam-6228	69	3	]	]	PUNCT
ejpam-6228	69	4	use	use	NOUN
ejpam-6228	69	5	breadth	breadth	NOUN
ejpam-6228	69	6	-	-	PUNCT
ejpam-6228	69	7	first	first	ADJ
ejpam-6228	69	8	search	search	NOUN
ejpam-6228	69	9	and	and	CCONJ
ejpam-6228	69	10	dynamic	dynamic	ADJ
ejpam-6228	69	11	diffusion	diffusion	NOUN
ejpam-6228	69	12	for	for	ADP
ejpam-6228	69	13	better	well	ADJ
ejpam-6228	69	14	randomness,131	randomness,131	PROPN
ejpam-6228	70	1	while	while	SCONJ
ejpam-6228	70	2	wang	wang	PROPN
ejpam-6228	70	3	et	et	PROPN
ejpam-6228	70	4	al	al	PROPN
ejpam-6228	71	1	.	.	PUNCT
ejpam-6228	72	1	[	[	X
ejpam-6228	72	2	23	23	NUM
ejpam-6228	72	3	]	]	PUNCT
ejpam-6228	72	4	use	use	VERB
ejpam-6228	72	5	dna	dna	NOUN
ejpam-6228	72	6	sequence	sequence	NOUN
ejpam-6228	72	7	operations	operation	NOUN
ejpam-6228	72	8	for	for	ADP
ejpam-6228	72	9	chaotic	chaotic	ADJ
ejpam-6228	72	10	image	image	NOUN
ejpam-6228	72	11	encryption	encryption	NOUN
ejpam-6228	72	12	.	.	PUNCT
ejpam-6228	73	1	wang132	wang132	PROPN
ejpam-6228	73	2	et	et	PROPN
ejpam-6228	73	3	al	al	PROPN
ejpam-6228	73	4	.	.	PUNCT
ejpam-6228	74	1	[	[	X
ejpam-6228	74	2	24	24	NUM
ejpam-6228	74	3	,	,	PUNCT
ejpam-6228	74	4	25	25	NUM
ejpam-6228	74	5	]	]	PUNCT
ejpam-6228	74	6	recently	recently	ADV
ejpam-6228	74	7	created	create	VERB
ejpam-6228	74	8	hidden	hidden	ADJ
ejpam-6228	74	9	attractor	attractor	NOUN
ejpam-6228	74	10	chaos	chaos	NOUN
ejpam-6228	74	11	systems	system	NOUN
ejpam-6228	74	12	and	and	CCONJ
ejpam-6228	74	13	conservative	conservative	ADJ
ejpam-6228	74	14	hyper-133	hyper-133	NOUN
ejpam-6228	74	15	chaotic	chaotic	ADJ
ejpam-6228	74	16	architectures	architecture	NOUN
ejpam-6228	74	17	,	,	PUNCT
ejpam-6228	74	18	which	which	PRON
ejpam-6228	74	19	strengthen	strengthen	VERB
ejpam-6228	74	20	cryptographic	cryptographic	ADJ
ejpam-6228	74	21	strength	strength	NOUN
ejpam-6228	74	22	even	even	ADV
ejpam-6228	74	23	more	more	ADV
ejpam-6228	74	24	.	.	PUNCT
ejpam-6228	75	1	wang	wang	PROPN
ejpam-6228	75	2	and	and	CCONJ
ejpam-6228	75	3	li134	li134	PROPN
ejpam-6228	76	1	[	[	X
ejpam-6228	76	2	26	26	NUM
ejpam-6228	76	3	]	]	PUNCT
ejpam-6228	76	4	also	also	ADV
ejpam-6228	76	5	combine	combine	VERB
ejpam-6228	76	6	hopfield	hopfield	VERB
ejpam-6228	76	7	chaotic	chaotic	ADJ
ejpam-6228	76	8	neural	neural	ADJ
ejpam-6228	76	9	networks	network	NOUN
ejpam-6228	76	10	into	into	ADP
ejpam-6228	76	11	color	color	NOUN
ejpam-6228	76	12	image	image	NOUN
ejpam-6228	76	13	encryption	encryption	NOUN
ejpam-6228	76	14	,	,	PUNCT
ejpam-6228	76	15	and	and	CCONJ
ejpam-6228	76	16	wang135	wang135	PROPN
ejpam-6228	76	17	and	and	CCONJ
ejpam-6228	76	18	gao	gao	PROPN
ejpam-6228	77	1	[	[	X
ejpam-6228	77	2	27	27	NUM
ejpam-6228	77	3	]	]	PUNCT
ejpam-6228	77	4	also	also	ADV
ejpam-6228	77	5	use	use	VERB
ejpam-6228	77	6	boolean	boolean	ADJ
ejpam-6228	77	7	network	network	NOUN
ejpam-6228	77	8	synchronization	synchronization	NOUN
ejpam-6228	77	9	.	.	PUNCT
ejpam-6228	78	1	an	an	DET
ejpam-6228	78	2	additional	additional	ADJ
ejpam-6228	78	3	dimension	dimension	NOUN
ejpam-6228	78	4	of	of	ADP
ejpam-6228	78	5	se-136	se-136	NOUN
ejpam-6228	78	6	curity	curity	NOUN
ejpam-6228	78	7	is	be	AUX
ejpam-6228	78	8	also	also	ADV
ejpam-6228	78	9	provided	provide	VERB
ejpam-6228	78	10	by	by	ADP
ejpam-6228	78	11	optical	optical	ADJ
ejpam-6228	78	12	cryptosystems	cryptosystem	NOUN
ejpam-6228	78	13	such	such	ADJ
ejpam-6228	78	14	as	as	ADP
ejpam-6228	78	15	asymmetric	asymmetric	ADJ
ejpam-6228	78	16	key	key	ADJ
ejpam-6228	78	17	cryptosystems137	cryptosystems137	PROPN
ejpam-6228	78	18	for	for	ADP
ejpam-6228	78	19	multiple	multiple	ADJ
ejpam-6228	78	20	image	image	NOUN
ejpam-6228	78	21	encryption	encryption	NOUN
ejpam-6228	78	22	described	describe	VERB
ejpam-6228	78	23	by	by	ADP
ejpam-6228	78	24	liu	liu	PROPN
ejpam-6228	78	25	et	et	PROPN
ejpam-6228	78	26	al	al	PROPN
ejpam-6228	78	27	.	.	PUNCT
ejpam-6228	79	1	[	[	X
ejpam-6228	79	2	28	28	NUM
ejpam-6228	79	3	]	]	PUNCT
ejpam-6228	79	4	.	.	PUNCT
ejpam-6228	80	1	xiong	xiong	PROPN
ejpam-6228	80	2	et	et	PROPN
ejpam-6228	80	3	al	al	PROPN
ejpam-6228	80	4	.	.	PUNCT
ejpam-6228	81	1	[	[	X
ejpam-6228	81	2	29	29	NUM
ejpam-6228	81	3	]	]	PUNCT
ejpam-6228	81	4	is	be	AUX
ejpam-6228	81	5	one	one	NUM
ejpam-6228	81	6	other138	other138	PROPN
ejpam-6228	81	7	well	well	ADV
ejpam-6228	81	8	-	-	PUNCT
ejpam-6228	81	9	known	know	VERB
ejpam-6228	81	10	contribution	contribution	NOUN
ejpam-6228	81	11	based	base	VERB
ejpam-6228	81	12	on	on	ADP
ejpam-6228	81	13	pixel	pixel	PROPN
ejpam-6228	81	14	exchange	exchange	NOUN
ejpam-6228	81	15	operations	operation	NOUN
ejpam-6228	81	16	and	and	CCONJ
ejpam-6228	81	17	vector	vector	NOUN
ejpam-6228	81	18	decomposition,139	decomposition,139	PROPN
ejpam-6228	81	19	and	and	CCONJ
ejpam-6228	81	20	deng	deng	PROPN
ejpam-6228	81	21	et	et	PROPN
ejpam-6228	81	22	al	al	PROPN
ejpam-6228	81	23	.	.	PUNCT
ejpam-6228	82	1	[	[	X
ejpam-6228	82	2	30	30	NUM
ejpam-6228	82	3	]	]	PUNCT
ejpam-6228	82	4	is	be	AUX
ejpam-6228	82	5	yet	yet	ADV
ejpam-6228	82	6	another	another	DET
ejpam-6228	82	7	contribution	contribution	NOUN
ejpam-6228	82	8	based	base	VERB
ejpam-6228	82	9	on	on	ADP
ejpam-6228	82	10	spectral	spectral	ADJ
ejpam-6228	82	11	cropping	cropping	NOUN
ejpam-6228	82	12	and	and	CCONJ
ejpam-6228	82	13	spatial140	spatial140	PROPN
ejpam-6228	82	14	multiplexing	multiplexing	NOUN
ejpam-6228	82	15	.	.	PUNCT
ejpam-6228	83	1	li	li	PROPN
ejpam-6228	83	2	et	et	PROPN
ejpam-6228	83	3	al	al	PROPN
ejpam-6228	83	4	.	.	PUNCT
ejpam-6228	84	1	[	[	X
ejpam-6228	84	2	31	31	NUM
ejpam-6228	84	3	]	]	PUNCT
ejpam-6228	84	4	also	also	ADV
ejpam-6228	84	5	investigatedwang2020imagea	investigatedwang2020imagea	ADP
ejpam-6228	84	6	wzhou2020novelform	wzhou2020novelform	PROPN
ejpam-6228	84	7	-	-	PUNCT
ejpam-6228	84	8	based141	based141	ADJ
ejpam-6228	84	9	techniques	technique	NOUN
ejpam-6228	84	10	,	,	PUNCT
ejpam-6228	84	11	which	which	PRON
ejpam-6228	84	12	,	,	PUNCT
ejpam-6228	84	13	however	however	ADV
ejpam-6228	84	14	,	,	PUNCT
ejpam-6228	84	15	use	use	VERB
ejpam-6228	84	16	robust	robust	ADJ
ejpam-6228	84	17	chaotic	chaotic	ADJ
ejpam-6228	84	18	maps	map	NOUN
ejpam-6228	84	19	for	for	ADP
ejpam-6228	84	20	secure	secure	ADJ
ejpam-6228	84	21	image	image	NOUN
ejpam-6228	84	22	encryption	encryption	NOUN
ejpam-6228	84	23	.	.	PUNCT
ejpam-6228	85	1	zhang142	zhang142	PROPN
ejpam-6228	85	2	and	and	CCONJ
ejpam-6228	85	3	wang	wang	PROPN
ejpam-6228	86	1	[	[	X
ejpam-6228	86	2	32	32	NUM
ejpam-6228	86	3	,	,	PUNCT
ejpam-6228	86	4	33	33	NUM
ejpam-6228	86	5	]	]	PUNCT
ejpam-6228	86	6	also	also	ADV
ejpam-6228	86	7	extend	extend	VERB
ejpam-6228	86	8	dna	dna	NOUN
ejpam-6228	86	9	encoding	encoding	NOUN
ejpam-6228	86	10	and	and	CCONJ
ejpam-6228	86	11	3d	3d	NUM
ejpam-6228	86	12	permutation	permutation	NOUN
ejpam-6228	86	13	models	model	NOUN
ejpam-6228	86	14	,	,	PUNCT
ejpam-6228	86	15	and	and	CCONJ
ejpam-6228	86	16	li	li	PROPN
ejpam-6228	86	17	et	et	PROPN
ejpam-6228	86	18	al.143	al.143	NOUN
ejpam-6228	86	19	[	[	X
ejpam-6228	86	20	31	31	NUM
ejpam-6228	86	21	]	]	PUNCT
ejpam-6228	86	22	further	far	ADV
ejpam-6228	86	23	improve	improve	VERB
ejpam-6228	86	24	security	security	NOUN
ejpam-6228	86	25	using	use	VERB
ejpam-6228	86	26	compressive	compressive	ADJ
ejpam-6228	86	27	ghost	ghost	NOUN
ejpam-6228	86	28	imaging.144	imaging.144	PROPN
ejpam-6228	86	29	145	145	NUM
ejpam-6228	86	30	in	in	ADP
ejpam-6228	86	31	response	response	NOUN
ejpam-6228	86	32	to	to	ADP
ejpam-6228	86	33	the	the	DET
ejpam-6228	86	34	fast	fast	ADJ
ejpam-6228	86	35	growth	growth	NOUN
ejpam-6228	86	36	of	of	ADP
ejpam-6228	86	37	digital	digital	ADJ
ejpam-6228	86	38	communication	communication	NOUN
ejpam-6228	86	39	and	and	CCONJ
ejpam-6228	86	40	multimedia	multimedia	NOUN
ejpam-6228	86	41	applications,146	applications,146	PROPN
ejpam-6228	86	42	m.	m.	PROPN
ejpam-6228	86	43	sajjad	sajjad	PROPN
ejpam-6228	86	44	,	,	PUNCT
ejpam-6228	86	45	n.	n.	PROPN
ejpam-6228	86	46	a.	a.	NOUN
ejpam-6228	86	47	alqwaifly	alqwaifly	PROPN
ejpam-6228	86	48	/	/	SYM
ejpam-6228	86	49	eur	eur	PROPN
ejpam-6228	86	50	.	.	PUNCT
ejpam-6228	87	1	j.	j.	PROPN
ejpam-6228	87	2	pure	pure	PROPN
ejpam-6228	87	3	appl	appl	PROPN
ejpam-6228	87	4	.	.	PROPN
ejpam-6228	87	5	math	math	PROPN
ejpam-6228	87	6	,	,	PUNCT
ejpam-6228	87	7	18	18	NUM
ejpam-6228	87	8	(	(	PUNCT
ejpam-6228	87	9	2	2	NUM
ejpam-6228	87	10	)	)	PUNCT
ejpam-6228	87	11	(	(	PUNCT
ejpam-6228	87	12	2025	2025	NUM
ejpam-6228	87	13	)	)	PUNCT
ejpam-6228	87	14	,	,	PUNCT
ejpam-6228	87	15	6228	6228	NUM
ejpam-6228	87	16	5	5	NUM
ejpam-6228	87	17	of	of	ADP
ejpam-6228	87	18	35	35	NUM
ejpam-6228	87	19	strong	strong	ADJ
ejpam-6228	87	20	security	security	NOUN
ejpam-6228	87	21	features	feature	NOUN
ejpam-6228	87	22	are	be	AUX
ejpam-6228	87	23	required	require	VERB
ejpam-6228	87	24	for	for	ADP
ejpam-6228	87	25	secure	secure	ADJ
ejpam-6228	87	26	access	access	NOUN
ejpam-6228	87	27	to	to	ADP
ejpam-6228	87	28	sensitive	sensitive	ADJ
ejpam-6228	87	29	image	image	NOUN
ejpam-6228	87	30	data	datum	NOUN
ejpam-6228	87	31	from	from	ADP
ejpam-6228	87	32	cy-147	cy-147	PROPN
ejpam-6228	87	33	ber	ber	NOUN
ejpam-6228	87	34	or	or	CCONJ
ejpam-6228	87	35	unauthorized	unauthorized	ADJ
ejpam-6228	87	36	access	access	NOUN
ejpam-6228	87	37	.	.	PUNCT
ejpam-6228	88	1	traditional	traditional	ADJ
ejpam-6228	88	2	methods	method	NOUN
ejpam-6228	88	3	of	of	ADP
ejpam-6228	88	4	encryption	encryption	NOUN
ejpam-6228	88	5	using	use	VERB
ejpam-6228	88	6	gaussian	gaussian	ADJ
ejpam-6228	88	7	integers148	integers148	PROPN
ejpam-6228	88	8	and	and	CCONJ
ejpam-6228	88	9	eisenstein	eisenstein	PROPN
ejpam-6228	88	10	integers	integer	NOUN
ejpam-6228	88	11	have	have	AUX
ejpam-6228	88	12	been	be	AUX
ejpam-6228	88	13	shown	show	VERB
ejpam-6228	88	14	to	to	PART
ejpam-6228	88	15	be	be	AUX
ejpam-6228	88	16	useful	useful	ADJ
ejpam-6228	88	17	for	for	ADP
ejpam-6228	88	18	protecting	protect	VERB
ejpam-6228	88	19	the	the	DET
ejpam-6228	88	20	content	content	NOUN
ejpam-6228	88	21	in	in	ADP
ejpam-6228	88	22	a	a	DET
ejpam-6228	88	23	dig-149	dig-149	NOUN
ejpam-6228	88	24	ital	ital	ADJ
ejpam-6228	88	25	domain	domain	NOUN
ejpam-6228	88	26	,	,	PUNCT
ejpam-6228	88	27	but	but	CCONJ
ejpam-6228	88	28	the	the	DET
ejpam-6228	88	29	cryptanalysis	cryptanalysis	NOUN
ejpam-6228	88	30	of	of	ADP
ejpam-6228	88	31	such	such	ADJ
ejpam-6228	88	32	traditional	traditional	ADJ
ejpam-6228	88	33	methods	method	NOUN
ejpam-6228	88	34	has	have	AUX
ejpam-6228	88	35	sometimes	sometimes	ADV
ejpam-6228	88	36	been	be	AUX
ejpam-6228	88	37	too150	too150	ADV
ejpam-6228	88	38	easy	easy	ADJ
ejpam-6228	89	1	[	[	X
ejpam-6228	89	2	5	5	NUM
ejpam-6228	89	3	,	,	PUNCT
ejpam-6228	89	4	12–14	12–14	NUM
ejpam-6228	89	5	]	]	PUNCT
ejpam-6228	89	6	.	.	PUNCT
ejpam-6228	90	1	it	it	PRON
ejpam-6228	90	2	is	be	AUX
ejpam-6228	90	3	further	far	ADV
ejpam-6228	90	4	evident	evident	ADJ
ejpam-6228	90	5	from	from	ADP
ejpam-6228	90	6	the	the	DET
ejpam-6228	90	7	advances	advance	NOUN
ejpam-6228	90	8	in	in	ADP
ejpam-6228	90	9	attacks	attack	NOUN
ejpam-6228	90	10	due	due	ADJ
ejpam-6228	90	11	to	to	ADP
ejpam-6228	90	12	increasing	increase	VERB
ejpam-6228	90	13	so-151	so-151	PROPN
ejpam-6228	90	14	phistication	phistication	NOUN
ejpam-6228	90	15	,	,	PUNCT
ejpam-6228	90	16	including	include	VERB
ejpam-6228	90	17	,	,	PUNCT
ejpam-6228	90	18	among	among	ADP
ejpam-6228	90	19	others	other	NOUN
ejpam-6228	90	20	,	,	PUNCT
ejpam-6228	90	21	differential	differential	ADJ
ejpam-6228	90	22	cryptanalysis	cryptanalysis	NOUN
ejpam-6228	90	23	,	,	PUNCT
ejpam-6228	90	24	linear	linear	ADJ
ejpam-6228	90	25	cryptanalysis	cryptanalysis	NOUN
ejpam-6228	90	26	,	,	PUNCT
ejpam-6228	90	27	and152	and152	PROPN
ejpam-6228	90	28	statistical	statistical	ADJ
ejpam-6228	90	29	attacks	attack	NOUN
ejpam-6228	90	30	,	,	PUNCT
ejpam-6228	90	31	that	that	SCONJ
ejpam-6228	90	32	the	the	DET
ejpam-6228	90	33	need	need	NOUN
ejpam-6228	90	34	for	for	ADP
ejpam-6228	90	35	a	a	DET
ejpam-6228	90	36	more	more	ADV
ejpam-6228	90	37	resilient	resilient	ADJ
ejpam-6228	90	38	cryptographic	cryptographic	ADJ
ejpam-6228	90	39	framework	framework	NOUN
ejpam-6228	90	40	is	be	AUX
ejpam-6228	90	41	all	all	ADV
ejpam-6228	90	42	the153	the153	ADV
ejpam-6228	90	43	more	more	ADV
ejpam-6228	90	44	important	important	ADJ
ejpam-6228	91	1	[	[	X
ejpam-6228	91	2	2–4	2–4	NUM
ejpam-6228	91	3	]	]	PUNCT
ejpam-6228	91	4	.	.	PUNCT
ejpam-6228	92	1	quaternion	quaternion	NOUN
ejpam-6228	92	2	integers	integer	NOUN
ejpam-6228	92	3	form	form	VERB
ejpam-6228	92	4	a	a	DET
ejpam-6228	92	5	non	non	ADJ
ejpam-6228	92	6	-	-	ADJ
ejpam-6228	92	7	commutative	commutative	ADJ
ejpam-6228	92	8	extension	extension	NOUN
ejpam-6228	92	9	of	of	ADP
ejpam-6228	92	10	complex154	complex154	NOUN
ejpam-6228	92	11	numbers	number	NOUN
ejpam-6228	92	12	and	and	CCONJ
ejpam-6228	92	13	,	,	PUNCT
ejpam-6228	92	14	as	as	ADP
ejpam-6228	92	15	such	such	ADJ
ejpam-6228	92	16	,	,	PUNCT
ejpam-6228	92	17	furnish	furnish	VERB
ejpam-6228	92	18	more	more	ADJ
ejpam-6228	92	19	algebraic	algebraic	ADJ
ejpam-6228	92	20	structure	structure	NOUN
ejpam-6228	92	21	and	and	CCONJ
ejpam-6228	92	22	more	more	ADJ
ejpam-6228	92	23	security	security	NOUN
ejpam-6228	92	24	for	for	ADP
ejpam-6228	92	25	encryp-155	encryp-155	ADJ
ejpam-6228	92	26	tion	tion	NOUN
ejpam-6228	92	27	systems	system	NOUN
ejpam-6228	92	28	in	in	ADP
ejpam-6228	92	29	a	a	DET
ejpam-6228	92	30	higher	high	ADJ
ejpam-6228	92	31	dimension	dimension	NOUN
ejpam-6228	92	32	.	.	PUNCT
ejpam-6228	93	1	relevant	relevant	ADJ
ejpam-6228	93	2	recent	recent	ADJ
ejpam-6228	93	3	research	research	NOUN
ejpam-6228	93	4	[	[	X
ejpam-6228	93	5	7	7	NUM
ejpam-6228	93	6	,	,	PUNCT
ejpam-6228	93	7	9–11	9–11	PROPN
ejpam-6228	93	8	]	]	PUNCT
ejpam-6228	93	9	has	have	AUX
ejpam-6228	93	10	also	also	ADV
ejpam-6228	93	11	pointed156	pointed156	PROPN
ejpam-6228	93	12	out	out	ADP
ejpam-6228	93	13	quaternion	quaternion	NOUN
ejpam-6228	93	14	algebra	algebra	NOUN
ejpam-6228	93	15	’s	’s	PART
ejpam-6228	93	16	possibility	possibility	NOUN
ejpam-6228	93	17	to	to	PART
ejpam-6228	93	18	be	be	AUX
ejpam-6228	93	19	employed	employ	VERB
ejpam-6228	93	20	in	in	ADP
ejpam-6228	93	21	building	build	VERB
ejpam-6228	93	22	cryptographic	cryptographic	ADJ
ejpam-6228	93	23	primitives,157	primitives,157	NOUN
ejpam-6228	93	24	in	in	ADP
ejpam-6228	93	25	particular	particular	ADJ
ejpam-6228	93	26	,	,	PUNCT
ejpam-6228	93	27	designing	design	VERB
ejpam-6228	93	28	s	s	NOUN
ejpam-6228	93	29	-	-	NOUN
ejpam-6228	93	30	boxes	box	NOUN
ejpam-6228	93	31	and	and	CCONJ
ejpam-6228	93	32	encrypting	encrypt	VERB
ejpam-6228	93	33	frameworks	framework	NOUN
ejpam-6228	93	34	.	.	PUNCT
ejpam-6228	94	1	indeed	indeed	ADV
ejpam-6228	94	2	,	,	PUNCT
ejpam-6228	94	3	the	the	DET
ejpam-6228	94	4	employment	employment	NOUN
ejpam-6228	94	5	of158	of158	NOUN
ejpam-6228	94	6	quaternion	quaternion	NOUN
ejpam-6228	94	7	integers	integer	NOUN
ejpam-6228	94	8	in	in	ADP
ejpam-6228	94	9	cryptographic	cryptographic	ADJ
ejpam-6228	94	10	applications	application	NOUN
ejpam-6228	94	11	offers	offer	VERB
ejpam-6228	94	12	some	some	DET
ejpam-6228	94	13	unique	unique	ADJ
ejpam-6228	94	14	advantages	advantage	NOUN
ejpam-6228	94	15	,	,	PUNCT
ejpam-6228	94	16	such	such	ADJ
ejpam-6228	94	17	as159	as159	ADJ
ejpam-6228	94	18	increased	increase	VERB
ejpam-6228	94	19	diffusion	diffusion	NOUN
ejpam-6228	94	20	and	and	CCONJ
ejpam-6228	94	21	confusion	confusion	NOUN
ejpam-6228	94	22	properties	property	NOUN
ejpam-6228	94	23	,	,	PUNCT
ejpam-6228	94	24	less	less	ADV
ejpam-6228	94	25	algebraic	algebraic	ADJ
ejpam-6228	94	26	complexity	complexity	NOUN
ejpam-6228	94	27	,	,	PUNCT
ejpam-6228	94	28	and	and	CCONJ
ejpam-6228	94	29	a	a	DET
ejpam-6228	94	30	larger	large	ADJ
ejpam-6228	94	31	key160	key160	NOUN
ejpam-6228	94	32	space	space	NOUN
ejpam-6228	94	33	that	that	PRON
ejpam-6228	94	34	aids	aid	VERB
ejpam-6228	94	35	in	in	ADP
ejpam-6228	94	36	combating	combat	VERB
ejpam-6228	94	37	different	different	ADJ
ejpam-6228	94	38	attacks	attack	NOUN
ejpam-6228	94	39	[	[	X
ejpam-6228	94	40	5	5	NUM
ejpam-6228	94	41	,	,	PUNCT
ejpam-6228	94	42	13	13	NUM
ejpam-6228	94	43	,	,	PUNCT
ejpam-6228	94	44	14	14	NUM
ejpam-6228	94	45	]	]	PUNCT
ejpam-6228	94	46	.	.	PUNCT
ejpam-6228	95	1	as	as	ADP
ejpam-6228	95	2	a	a	DET
ejpam-6228	95	3	result	result	NOUN
ejpam-6228	95	4	,	,	PUNCT
ejpam-6228	95	5	encryption	encryption	NOUN
ejpam-6228	95	6	schemes161	schemes161	NOUN
ejpam-6228	95	7	based	base	VERB
ejpam-6228	95	8	on	on	ADP
ejpam-6228	95	9	substitution	substitution	NOUN
ejpam-6228	95	10	permutation	permutation	NOUN
ejpam-6228	95	11	network	network	NOUN
ejpam-6228	95	12	(	(	PUNCT
ejpam-6228	95	13	spn	spn	PROPN
ejpam-6228	95	14	)	)	PUNCT
ejpam-6228	95	15	are	be	AUX
ejpam-6228	95	16	found	find	VERB
ejpam-6228	95	17	to	to	PART
ejpam-6228	95	18	be	be	AUX
ejpam-6228	95	19	very	very	ADV
ejpam-6228	95	20	effective	effective	ADJ
ejpam-6228	95	21	for	for	ADP
ejpam-6228	95	22	secure162	secure162	PROPN
ejpam-6228	95	23	image	image	NOUN
ejpam-6228	95	24	encryption	encryption	NOUN
ejpam-6228	95	25	.	.	PUNCT
ejpam-6228	96	1	spn	spn	PROPN
ejpam-6228	96	2	frameworks	framework	NOUN
ejpam-6228	96	3	based	base	VERB
ejpam-6228	96	4	on	on	ADP
ejpam-6228	96	5	s	s	NOUN
ejpam-6228	96	6	-	-	NOUN
ejpam-6228	96	7	boxes	box	NOUN
ejpam-6228	96	8	over	over	ADP
ejpam-6228	96	9	finite	finite	ADJ
ejpam-6228	96	10	fields	field	NOUN
ejpam-6228	96	11	like	like	ADP
ejpam-6228	96	12	gf(2n	gf(2n	NOUN
ejpam-6228	96	13	)	)	PUNCT
ejpam-6228	96	14	,	,	PUNCT
ejpam-6228	96	15	elliptic163	elliptic163	PROPN
ejpam-6228	96	16	curves	curve	NOUN
ejpam-6228	96	17	or	or	CCONJ
ejpam-6228	96	18	gaussian	gaussian	ADJ
ejpam-6228	96	19	integers	integer	NOUN
ejpam-6228	96	20	,	,	PUNCT
ejpam-6228	96	21	remain	remain	VERB
ejpam-6228	96	22	vulnerable	vulnerable	ADJ
ejpam-6228	96	23	to	to	ADP
ejpam-6228	96	24	cryptanalysis	cryptanalysis	NOUN
ejpam-6228	96	25	for	for	ADP
ejpam-6228	96	26	the	the	DET
ejpam-6228	96	27	reason	reason	NOUN
ejpam-6228	96	28	that	that	PRON
ejpam-6228	96	29	they164	they164	PROPN
ejpam-6228	96	30	have	have	VERB
ejpam-6228	96	31	algebraic	algebraic	ADJ
ejpam-6228	96	32	properties	property	NOUN
ejpam-6228	96	33	[	[	X
ejpam-6228	96	34	12	12	NUM
ejpam-6228	96	35	,	,	PUNCT
ejpam-6228	96	36	13	13	NUM
ejpam-6228	96	37	]	]	PUNCT
ejpam-6228	96	38	.	.	PUNCT
ejpam-6228	97	1	this	this	PRON
ejpam-6228	97	2	is	be	AUX
ejpam-6228	97	3	a	a	DET
ejpam-6228	97	4	novel	novel	ADJ
ejpam-6228	97	5	cryptographic	cryptographic	ADJ
ejpam-6228	97	6	primitive	primitive	NOUN
ejpam-6228	97	7	based	base	VERB
ejpam-6228	97	8	on	on	ADP
ejpam-6228	97	9	quater-165	quater-165	ADJ
ejpam-6228	97	10	nion	nion	ADJ
ejpam-6228	97	11	integer	integer	NOUN
ejpam-6228	97	12	-	-	PUNCT
ejpam-6228	97	13	based	base	VERB
ejpam-6228	97	14	s	s	NOUN
ejpam-6228	97	15	-	-	PUNCT
ejpam-6228	97	16	boxes	box	NOUN
ejpam-6228	97	17	which	which	PRON
ejpam-6228	97	18	augment	augment	VERB
ejpam-6228	97	19	the	the	DET
ejpam-6228	97	20	nonlinearity	nonlinearity	NOUN
ejpam-6228	97	21	and	and	CCONJ
ejpam-6228	97	22	differential	differential	ADJ
ejpam-6228	97	23	uniformity	uniformity	NOUN
ejpam-6228	97	24	of166	of166	ADP
ejpam-6228	97	25	the	the	DET
ejpam-6228	97	26	encryption	encryption	NOUN
ejpam-6228	97	27	process	process	NOUN
ejpam-6228	97	28	by	by	ADP
ejpam-6228	97	29	introducing	introduce	VERB
ejpam-6228	97	30	quaternion	quaternion	NOUN
ejpam-6228	97	31	integer	integer	NOUN
ejpam-6228	97	32	-	-	PUNCT
ejpam-6228	97	33	based	base	VERB
ejpam-6228	97	34	s	s	NOUN
ejpam-6228	97	35	-	-	NOUN
ejpam-6228	97	36	boxes	box	NOUN
ejpam-6228	97	37	into	into	ADP
ejpam-6228	97	38	the	the	DET
ejpam-6228	97	39	utilization167	utilization167	PROPN
ejpam-6228	97	40	of	of	ADP
ejpam-6228	97	41	the	the	DET
ejpam-6228	97	42	spn	spn	PROPN
ejpam-6228	97	43	structure	structure	NOUN
ejpam-6228	97	44	[	[	X
ejpam-6228	97	45	5	5	NUM
ejpam-6228	97	46	,	,	PUNCT
ejpam-6228	97	47	14	14	NUM
ejpam-6228	97	48	]	]	PUNCT
ejpam-6228	97	49	.	.	PUNCT
ejpam-6228	98	1	the	the	DET
ejpam-6228	98	2	rationale	rationale	NOUN
ejpam-6228	98	3	behind	behind	ADP
ejpam-6228	98	4	this	this	DET
ejpam-6228	98	5	study	study	NOUN
ejpam-6228	98	6	is	be	AUX
ejpam-6228	98	7	that	that	SCONJ
ejpam-6228	98	8	a	a	DET
ejpam-6228	98	9	very	very	ADV
ejpam-6228	98	10	secure	secure	ADJ
ejpam-6228	98	11	multiple168	multiple168	PROPN
ejpam-6228	98	12	rgb	rgb	PROPN
ejpam-6228	98	13	image	image	NOUN
ejpam-6228	98	14	encryption	encryption	NOUN
ejpam-6228	98	15	system	system	NOUN
ejpam-6228	98	16	based	base	VERB
ejpam-6228	98	17	on	on	ADP
ejpam-6228	98	18	the	the	DET
ejpam-6228	98	19	mathematical	mathematical	ADJ
ejpam-6228	98	20	strength	strength	NOUN
ejpam-6228	98	21	of	of	ADP
ejpam-6228	98	22	quaternion	quaternion	NOUN
ejpam-6228	98	23	integers169	integers169	PROPN
ejpam-6228	98	24	is	be	AUX
ejpam-6228	98	25	to	to	PART
ejpam-6228	98	26	be	be	AUX
ejpam-6228	98	27	developed	develop	VERB
ejpam-6228	98	28	.	.	PUNCT
ejpam-6228	99	1	the	the	DET
ejpam-6228	99	2	proposed	propose	VERB
ejpam-6228	99	3	approach	approach	NOUN
ejpam-6228	99	4	is	be	AUX
ejpam-6228	99	5	to	to	PART
ejpam-6228	99	6	use	use	VERB
ejpam-6228	99	7	quaternion	quaternion	NOUN
ejpam-6228	99	8	-	-	PUNCT
ejpam-6228	99	9	integer	integer	NOUN
ejpam-6228	99	10	-	-	PUNCT
ejpam-6228	99	11	based	base	VERB
ejpam-6228	99	12	s	s	NOUN
ejpam-6228	99	13	-	-	PUNCT
ejpam-6228	99	14	boxes	box	NOUN
ejpam-6228	99	15	to170	to170	PRON
ejpam-6228	99	16	integrate	integrate	VERB
ejpam-6228	99	17	the	the	DET
ejpam-6228	99	18	security	security	NOUN
ejpam-6228	99	19	of	of	ADP
ejpam-6228	99	20	digital	digital	ADJ
ejpam-6228	99	21	images	image	NOUN
ejpam-6228	99	22	against	against	ADP
ejpam-6228	99	23	multiple	multiple	ADJ
ejpam-6228	99	24	attacks	attack	NOUN
ejpam-6228	99	25	with	with	ADP
ejpam-6228	99	26	good	good	ADJ
ejpam-6228	99	27	efficiency	efficiency	NOUN
ejpam-6228	99	28	of171	of171	NOUN
ejpam-6228	99	29	computation	computation	NOUN
ejpam-6228	99	30	[	[	X
ejpam-6228	99	31	5	5	NUM
ejpam-6228	99	32	,	,	PUNCT
ejpam-6228	99	33	13	13	NUM
ejpam-6228	99	34	,	,	PUNCT
ejpam-6228	99	35	14	14	NUM
ejpam-6228	99	36	]	]	PUNCT
ejpam-6228	99	37	.	.	PUNCT
ejpam-6228	100	1	in	in	ADP
ejpam-6228	100	2	terms	term	NOUN
ejpam-6228	100	3	of	of	ADP
ejpam-6228	100	4	multimedia	multimedia	NOUN
ejpam-6228	100	5	security	security	NOUN
ejpam-6228	100	6	,	,	PUNCT
ejpam-6228	100	7	this	this	DET
ejpam-6228	100	8	research	research	NOUN
ejpam-6228	100	9	adds	add	VERB
ejpam-6228	100	10	an	an	DET
ejpam-6228	100	11	innovative172	innovative172	PROPN
ejpam-6228	100	12	cryptographic	cryptographic	ADJ
ejpam-6228	100	13	model	model	NOUN
ejpam-6228	100	14	in	in	ADP
ejpam-6228	100	15	the	the	DET
ejpam-6228	100	16	form	form	NOUN
ejpam-6228	100	17	of	of	ADP
ejpam-6228	100	18	combining	combine	VERB
ejpam-6228	100	19	algebraic	algebraic	ADJ
ejpam-6228	100	20	developments	development	NOUN
ejpam-6228	100	21	and	and	CCONJ
ejpam-6228	100	22	pragmatic	pragmatic	ADJ
ejpam-6228	100	23	en-173	en-173	PROPN
ejpam-6228	100	24	cryption	cryption	NOUN
ejpam-6228	100	25	mechanisms	mechanism	NOUN
ejpam-6228	100	26	to	to	PART
ejpam-6228	100	27	address	address	VERB
ejpam-6228	100	28	the	the	DET
ejpam-6228	100	29	fast	fast	ADV
ejpam-6228	100	30	-	-	PUNCT
ejpam-6228	100	31	emerging	emerge	VERB
ejpam-6228	100	32	difficulties	difficulty	NOUN
ejpam-6228	100	33	that	that	PRON
ejpam-6228	100	34	digital	digital	ADJ
ejpam-6228	100	35	data	datum	NOUN
ejpam-6228	100	36	protection174	protection174	PROPN
ejpam-6228	100	37	in	in	ADP
ejpam-6228	100	38	modern	modern	ADJ
ejpam-6228	100	39	communication	communication	NOUN
ejpam-6228	100	40	systems	system	NOUN
ejpam-6228	100	41	faces.175	faces.175	ADV
ejpam-6228	100	42	176	176	NUM
ejpam-6228	100	43	the	the	DET
ejpam-6228	100	44	goal	goal	NOUN
ejpam-6228	100	45	of	of	ADP
ejpam-6228	100	46	this	this	DET
ejpam-6228	100	47	research	research	NOUN
ejpam-6228	100	48	is	be	AUX
ejpam-6228	100	49	to	to	PART
ejpam-6228	100	50	propose	propose	VERB
ejpam-6228	100	51	a	a	DET
ejpam-6228	100	52	new	new	ADJ
ejpam-6228	100	53	cryptographic	cryptographic	ADJ
ejpam-6228	100	54	framework	framework	NOUN
ejpam-6228	100	55	,	,	PUNCT
ejpam-6228	100	56	among	among	ADP
ejpam-6228	100	57	whose177	whose177	PROPN
ejpam-6228	100	58	building	building	NOUN
ejpam-6228	100	59	blocks	block	NOUN
ejpam-6228	100	60	are	be	AUX
ejpam-6228	100	61	quaternion	quaternion	NOUN
ejpam-6228	100	62	integers	integer	NOUN
ejpam-6228	100	63	,	,	PUNCT
ejpam-6228	100	64	which	which	PRON
ejpam-6228	100	65	improve	improve	VERB
ejpam-6228	100	66	the	the	DET
ejpam-6228	100	67	security	security	NOUN
ejpam-6228	100	68	of	of	ADP
ejpam-6228	100	69	conferences	conference	NOUN
ejpam-6228	100	70	where178	where178	VERB
ejpam-6228	100	71	several	several	ADJ
ejpam-6228	100	72	rgb	rgb	PROPN
ejpam-6228	100	73	images	image	NOUN
ejpam-6228	100	74	are	be	AUX
ejpam-6228	100	75	being	be	AUX
ejpam-6228	100	76	displayed	display	VERB
ejpam-6228	100	77	at	at	ADP
ejpam-6228	100	78	once	once	ADV
ejpam-6228	100	79	.	.	PUNCT
ejpam-6228	101	1	another	another	DET
ejpam-6228	101	2	one	one	NUM
ejpam-6228	101	3	of	of	ADP
ejpam-6228	101	4	the	the	DET
ejpam-6228	101	5	key	key	ADJ
ejpam-6228	101	6	contributions179	contributions179	PROPN
ejpam-6228	101	7	is	be	AUX
ejpam-6228	101	8	the	the	DET
ejpam-6228	101	9	formation	formation	NOUN
ejpam-6228	101	10	of	of	ADP
ejpam-6228	101	11	an	an	DET
ejpam-6228	101	12	original	original	ADJ
ejpam-6228	101	13	way	way	NOUN
ejpam-6228	101	14	to	to	PART
ejpam-6228	101	15	create	create	VERB
ejpam-6228	101	16	n	n	PRON
ejpam-6228	101	17	×	×	VERB
ejpam-6228	101	18	n	n	CCONJ
ejpam-6228	101	19	s	s	NOUN
ejpam-6228	101	20	-	-	PUNCT
ejpam-6228	101	21	boxes	box	NOUN
ejpam-6228	101	22	based	base	VERB
ejpam-6228	101	23	on	on	ADP
ejpam-6228	101	24	quaternion	quaternion	ADJ
ejpam-6228	101	25	inte-180	inte-180	ADJ
ejpam-6228	101	26	gers	ger	NOUN
ejpam-6228	101	27	.	.	PUNCT
ejpam-6228	102	1	in	in	ADP
ejpam-6228	102	2	contrast	contrast	NOUN
ejpam-6228	102	3	to	to	ADP
ejpam-6228	102	4	other	other	ADJ
ejpam-6228	102	5	s	s	PROPN
ejpam-6228	102	6	-	-	PUNCT
ejpam-6228	102	7	box	box	NOUN
ejpam-6228	102	8	designs	design	NOUN
ejpam-6228	102	9	based	base	VERB
ejpam-6228	102	10	on	on	ADP
ejpam-6228	102	11	gaussian	gaussian	ADJ
ejpam-6228	102	12	or	or	CCONJ
ejpam-6228	102	13	eisenstein	eisenstein	NOUN
ejpam-6228	102	14	integers	integer	NOUN
ejpam-6228	102	15	,	,	PUNCT
ejpam-6228	102	16	elliptic181	elliptic181	PRON
ejpam-6228	102	17	curves	curve	VERB
ejpam-6228	102	18	or	or	CCONJ
ejpam-6228	102	19	chaotic	chaotic	ADJ
ejpam-6228	102	20	functions	function	NOUN
ejpam-6228	102	21	,	,	PUNCT
ejpam-6228	102	22	the	the	DET
ejpam-6228	102	23	proposed	propose	VERB
ejpam-6228	102	24	method	method	NOUN
ejpam-6228	102	25	is	be	AUX
ejpam-6228	102	26	algebraically	algebraically	ADV
ejpam-6228	102	27	distinct	distinct	ADJ
ejpam-6228	102	28	in	in	ADP
ejpam-6228	102	29	that	that	SCONJ
ejpam-6228	102	30	it	it	PRON
ejpam-6228	102	31	uses182	uses182	PROPN
ejpam-6228	102	32	the	the	DET
ejpam-6228	102	33	exceptional	exceptional	ADJ
ejpam-6228	102	34	four	four	NUM
ejpam-6228	102	35	-	-	PUNCT
ejpam-6228	102	36	dimensional	dimensional	ADJ
ejpam-6228	102	37	algebraic	algebraic	ADJ
ejpam-6228	102	38	structure	structure	NOUN
ejpam-6228	102	39	of	of	ADP
ejpam-6228	102	40	quaternion	quaternion	NOUN
ejpam-6228	102	41	integers	integer	NOUN
ejpam-6228	102	42	.	.	PUNCT
ejpam-6228	103	1	as	as	ADP
ejpam-6228	103	2	for	for	ADP
ejpam-6228	103	3	the183	the183	PROPN
ejpam-6228	103	4	generated	generate	VERB
ejpam-6228	103	5	s	s	NOUN
ejpam-6228	103	6	-	-	NOUN
ejpam-6228	103	7	boxes	box	NOUN
ejpam-6228	103	8	,	,	PUNCT
ejpam-6228	103	9	the	the	DET
ejpam-6228	103	10	non	non	ADJ
ejpam-6228	103	11	-	-	ADJ
ejpam-6228	103	12	commutative	commutative	ADJ
ejpam-6228	103	13	nature	nature	NOUN
ejpam-6228	103	14	of	of	ADP
ejpam-6228	103	15	quaternion	quaternion	NOUN
ejpam-6228	103	16	multiplication	multiplication	NOUN
ejpam-6228	103	17	allows	allow	VERB
ejpam-6228	103	18	for184	for184	VERB
ejpam-6228	103	19	much	much	ADV
ejpam-6228	103	20	more	more	ADV
ejpam-6228	103	21	nonlinear	nonlinear	ADJ
ejpam-6228	103	22	,	,	PUNCT
ejpam-6228	103	23	differential	differential	ADJ
ejpam-6228	103	24	uniform	uniform	NOUN
ejpam-6228	103	25	,	,	PUNCT
ejpam-6228	103	26	and	and	CCONJ
ejpam-6228	103	27	strict	strict	ADJ
ejpam-6228	103	28	avalanche	avalanche	PROPN
ejpam-6228	103	29	characteristics	characteristic	NOUN
ejpam-6228	103	30	than	than	ADP
ejpam-6228	103	31	can185	can185	PROPN
ejpam-6228	103	32	be	be	AUX
ejpam-6228	103	33	obtained	obtain	VERB
ejpam-6228	103	34	using	use	VERB
ejpam-6228	103	35	finite	finite	ADJ
ejpam-6228	103	36	field	field	NOUN
ejpam-6228	103	37	techniques	technique	NOUN
ejpam-6228	103	38	,	,	PUNCT
ejpam-6228	103	39	which	which	PRON
ejpam-6228	103	40	makes	make	VERB
ejpam-6228	103	41	it	it	PRON
ejpam-6228	103	42	highly	highly	ADV
ejpam-6228	103	43	resistant	resistant	ADJ
ejpam-6228	103	44	to	to	AUX
ejpam-6228	103	45	linear	linear	VERB
ejpam-6228	103	46	and	and	CCONJ
ejpam-6228	103	47	dif-186	dif-186	VERB
ejpam-6228	103	48	ferential	ferential	ADJ
ejpam-6228	103	49	cryptanalysis	cryptanalysis	NOUN
ejpam-6228	103	50	.	.	PUNCT
ejpam-6228	104	1	finally	finally	ADV
ejpam-6228	104	2	,	,	PUNCT
ejpam-6228	104	3	the	the	DET
ejpam-6228	104	4	proposed	propose	VERB
ejpam-6228	104	5	framework	framework	NOUN
ejpam-6228	104	6	uses	use	VERB
ejpam-6228	104	7	these	these	DET
ejpam-6228	104	8	s	s	NOUN
ejpam-6228	104	9	-	-	NOUN
ejpam-6228	104	10	boxes	box	NOUN
ejpam-6228	104	11	as	as	ADP
ejpam-6228	104	12	substitution187	substitution187	PROPN
ejpam-6228	104	13	and	and	CCONJ
ejpam-6228	104	14	permutation	permutation	NOUN
ejpam-6228	104	15	elements	element	NOUN
ejpam-6228	104	16	of	of	ADP
ejpam-6228	104	17	an	an	DET
ejpam-6228	104	18	spn	spn	PROPN
ejpam-6228	104	19	,	,	PUNCT
ejpam-6228	104	20	with	with	ADP
ejpam-6228	104	21	the	the	DET
ejpam-6228	104	22	aim	aim	NOUN
ejpam-6228	104	23	of	of	ADP
ejpam-6228	104	24	guaranteeing	guarantee	VERB
ejpam-6228	104	25	a	a	DET
ejpam-6228	104	26	high	high	ADJ
ejpam-6228	104	27	degree	degree	NOUN
ejpam-6228	104	28	of	of	ADP
ejpam-6228	104	29	con-188	con-188	ADJ
ejpam-6228	104	30	fusion	fusion	NOUN
ejpam-6228	104	31	and	and	CCONJ
ejpam-6228	104	32	diffusion	diffusion	NOUN
ejpam-6228	104	33	properties	property	NOUN
ejpam-6228	104	34	to	to	PART
ejpam-6228	104	35	achieve	achieve	VERB
ejpam-6228	104	36	secure	secure	ADJ
ejpam-6228	104	37	multimedia	multimedia	NOUN
ejpam-6228	104	38	encryption	encryption	NOUN
ejpam-6228	104	39	.	.	PUNCT
ejpam-6228	105	1	the	the	DET
ejpam-6228	105	2	work	work	NOUN
ejpam-6228	105	3	makes189	makes189	PROPN
ejpam-6228	105	4	m.	m.	NOUN
ejpam-6228	105	5	sajjad	sajjad	PROPN
ejpam-6228	105	6	,	,	PUNCT
ejpam-6228	105	7	n.	n.	PROPN
ejpam-6228	105	8	a.	a.	NOUN
ejpam-6228	105	9	alqwaifly	alqwaifly	PROPN
ejpam-6228	105	10	/	/	SYM
ejpam-6228	105	11	eur	eur	PROPN
ejpam-6228	105	12	.	.	PUNCT
ejpam-6228	106	1	j.	j.	PROPN
ejpam-6228	106	2	pure	pure	PROPN
ejpam-6228	106	3	appl	appl	PROPN
ejpam-6228	106	4	.	.	PROPN
ejpam-6228	106	5	math	math	PROPN
ejpam-6228	106	6	,	,	PUNCT
ejpam-6228	106	7	18	18	NUM
ejpam-6228	106	8	(	(	PUNCT
ejpam-6228	106	9	2	2	NUM
ejpam-6228	106	10	)	)	PUNCT
ejpam-6228	106	11	(	(	PUNCT
ejpam-6228	106	12	2025	2025	NUM
ejpam-6228	106	13	)	)	PUNCT
ejpam-6228	106	14	,	,	PUNCT
ejpam-6228	106	15	6228	6228	NUM
ejpam-6228	106	16	6	6	NUM
ejpam-6228	106	17	of	of	ADP
ejpam-6228	106	18	35	35	NUM
ejpam-6228	106	19	another	another	DET
ejpam-6228	106	20	considerable	considerable	ADJ
ejpam-6228	106	21	contribution	contribution	NOUN
ejpam-6228	106	22	by	by	ADP
ejpam-6228	106	23	introducing	introduce	VERB
ejpam-6228	106	24	a	a	DET
ejpam-6228	106	25	fast	fast	ADJ
ejpam-6228	106	26	multi	multi	ADJ
ejpam-6228	106	27	-	-	ADJ
ejpam-6228	106	28	image	image	ADJ
ejpam-6228	106	29	encryption	encryption	NOUN
ejpam-6228	106	30	scheme190	scheme190	PROPN
ejpam-6228	106	31	which	which	PRON
ejpam-6228	106	32	allows	allow	VERB
ejpam-6228	106	33	processing	processing	NOUN
ejpam-6228	106	34	multiple	multiple	ADJ
ejpam-6228	106	35	rgb	rgb	PROPN
ejpam-6228	106	36	images	image	NOUN
ejpam-6228	106	37	simultaneously	simultaneously	ADV
ejpam-6228	106	38	.	.	PUNCT
ejpam-6228	107	1	the	the	DET
ejpam-6228	107	2	encryption	encryption	NOUN
ejpam-6228	107	3	scheme191	scheme191	PROPN
ejpam-6228	107	4	has	have	AUX
ejpam-6228	107	5	been	be	AUX
ejpam-6228	107	6	designed	design	VERB
ejpam-6228	107	7	with	with	ADP
ejpam-6228	107	8	strong	strong	ADJ
ejpam-6228	107	9	security	security	NOUN
ejpam-6228	107	10	features	feature	NOUN
ejpam-6228	107	11	and	and	CCONJ
ejpam-6228	107	12	efficient	efficient	ADJ
ejpam-6228	107	13	computation	computation	NOUN
ejpam-6228	107	14	,	,	PUNCT
ejpam-6228	107	15	ideal	ideal	ADJ
ejpam-6228	107	16	for	for	ADP
ejpam-6228	107	17	ap-192	ap-192	NOUN
ejpam-6228	107	18	plication	plication	NOUN
ejpam-6228	107	19	in	in	ADP
ejpam-6228	107	20	real	real	ADJ
ejpam-6228	107	21	time	time	NOUN
ejpam-6228	107	22	,	,	PUNCT
ejpam-6228	107	23	such	such	ADJ
ejpam-6228	107	24	as	as	ADP
ejpam-6228	107	25	secure	secure	ADJ
ejpam-6228	107	26	cloud	cloud	NOUN
ejpam-6228	107	27	storage	storage	NOUN
ejpam-6228	107	28	,	,	PUNCT
ejpam-6228	107	29	medical	medical	ADJ
ejpam-6228	107	30	imaging	imaging	NOUN
ejpam-6228	107	31	,	,	PUNCT
ejpam-6228	107	32	video	video	NOUN
ejpam-6228	107	33	surveillance,193	surveillance,193	PROPN
ejpam-6228	107	34	etc	etc	X
ejpam-6228	107	35	.	.	X
ejpam-6228	107	36	statistical	statistical	ADJ
ejpam-6228	107	37	tests	test	NOUN
ejpam-6228	107	38	,	,	PUNCT
ejpam-6228	107	39	entropy	entropy	PROPN
ejpam-6228	107	40	measurement	measurement	NOUN
ejpam-6228	107	41	,	,	PUNCT
ejpam-6228	107	42	correlation	correlation	NOUN
ejpam-6228	107	43	analysis	analysis	NOUN
ejpam-6228	107	44	and	and	CCONJ
ejpam-6228	107	45	differential	differential	NOUN
ejpam-6228	107	46	attack194	attack194	PROPN
ejpam-6228	107	47	resistance	resistance	NOUN
ejpam-6228	107	48	are	be	AUX
ejpam-6228	107	49	rigorously	rigorously	ADV
ejpam-6228	107	50	performed	perform	VERB
ejpam-6228	107	51	on	on	ADP
ejpam-6228	107	52	the	the	DET
ejpam-6228	107	53	proposed	propose	VERB
ejpam-6228	107	54	method	method	NOUN
ejpam-6228	107	55	,	,	PUNCT
ejpam-6228	107	56	and	and	CCONJ
ejpam-6228	107	57	it	it	PRON
ejpam-6228	107	58	is	be	AUX
ejpam-6228	107	59	shown	show	VERB
ejpam-6228	107	60	to	to	PART
ejpam-6228	107	61	achieve195	achieve195	VERB
ejpam-6228	107	62	superior	superior	ADJ
ejpam-6228	107	63	performance	performance	NOUN
ejpam-6228	107	64	in	in	ADP
ejpam-6228	107	65	terms	term	NOUN
ejpam-6228	107	66	of	of	ADP
ejpam-6228	107	67	security	security	NOUN
ejpam-6228	107	68	when	when	SCONJ
ejpam-6228	107	69	compared	compare	VERB
ejpam-6228	107	70	with	with	ADP
ejpam-6228	107	71	the	the	DET
ejpam-6228	107	72	existing	exist	VERB
ejpam-6228	107	73	techniques.196	techniques.196	NOUN
ejpam-6228	107	74	in	in	ADP
ejpam-6228	107	75	addition	addition	NOUN
ejpam-6228	107	76	,	,	PUNCT
ejpam-6228	107	77	this	this	DET
ejpam-6228	107	78	research	research	NOUN
ejpam-6228	107	79	points	point	VERB
ejpam-6228	107	80	out	out	ADP
ejpam-6228	107	81	the	the	DET
ejpam-6228	107	82	ability	ability	NOUN
ejpam-6228	107	83	of	of	ADP
ejpam-6228	107	84	quaternion	quaternion	NOUN
ejpam-6228	107	85	integers	integer	NOUN
ejpam-6228	107	86	to	to	PART
ejpam-6228	107	87	be	be	AUX
ejpam-6228	107	88	used	use	VERB
ejpam-6228	107	89	in	in	ADP
ejpam-6228	107	90	the197	the197	NOUN
ejpam-6228	107	91	analogical	analogical	ADJ
ejpam-6228	107	92	cryptographic	cryptographic	ADJ
ejpam-6228	107	93	applications	application	NOUN
ejpam-6228	107	94	and	and	CCONJ
ejpam-6228	107	95	lays	lay	VERB
ejpam-6228	107	96	a	a	DET
ejpam-6228	107	97	foundation	foundation	NOUN
ejpam-6228	107	98	for	for	ADP
ejpam-6228	107	99	future	future	ADJ
ejpam-6228	107	100	studies	study	NOUN
ejpam-6228	107	101	of	of	ADP
ejpam-6228	107	102	more198	more198	ADJ
ejpam-6228	107	103	high	high	ADV
ejpam-6228	107	104	-	-	PUNCT
ejpam-6228	107	105	dimensional	dimensional	ADJ
ejpam-6228	107	106	algebraic	algebraic	ADJ
ejpam-6228	107	107	structures	structure	NOUN
ejpam-6228	107	108	,	,	PUNCT
ejpam-6228	107	109	which	which	PRON
ejpam-6228	107	110	can	can	AUX
ejpam-6228	107	111	be	be	AUX
ejpam-6228	107	112	used	use	VERB
ejpam-6228	107	113	for	for	ADP
ejpam-6228	107	114	encryption	encryption	NOUN
ejpam-6228	107	115	.	.	PUNCT
ejpam-6228	108	1	the	the	DET
ejpam-6228	108	2	results	result	NOUN
ejpam-6228	108	3	lead199	lead199	VERB
ejpam-6228	108	4	us	we	PRON
ejpam-6228	108	5	to	to	PART
ejpam-6228	108	6	conclude	conclude	VERB
ejpam-6228	108	7	that	that	SCONJ
ejpam-6228	108	8	the	the	DET
ejpam-6228	108	9	proposed	propose	VERB
ejpam-6228	108	10	system	system	NOUN
ejpam-6228	108	11	is	be	AUX
ejpam-6228	108	12	practical	practical	ADJ
ejpam-6228	108	13	and	and	CCONJ
ejpam-6228	108	14	efficient	efficient	ADJ
ejpam-6228	108	15	,	,	PUNCT
ejpam-6228	108	16	which	which	PRON
ejpam-6228	108	17	helps	help	VERB
ejpam-6228	108	18	to	to	ADP
ejpam-6228	108	19	advance200	advance200	PROPN
ejpam-6228	108	20	secure	secure	VERB
ejpam-6228	108	21	multimedia	multimedia	NOUN
ejpam-6228	108	22	communication.201	communication.201	NUM
ejpam-6228	108	23	2	2	NUM
ejpam-6228	108	24	.	.	PUNCT
ejpam-6228	109	1	quaternion	quaternion	VERB
ejpam-6228	109	2	integers202	integers202	NOUN
ejpam-6228	109	3	by	by	ADP
ejpam-6228	109	4	following	follow	VERB
ejpam-6228	109	5	[	[	X
ejpam-6228	109	6	7–11	7–11	NOUN
ejpam-6228	109	7	]	]	PUNCT
ejpam-6228	109	8	,	,	PUNCT
ejpam-6228	109	9	let	let	VERB
ejpam-6228	109	10	h(r	h(r	NOUN
ejpam-6228	109	11	)	)	PUNCT
ejpam-6228	109	12	be	be	AUX
ejpam-6228	109	13	the	the	DET
ejpam-6228	109	14	hamilton	hamilton	PROPN
ejpam-6228	109	15	quaternion	quaternion	PROPN
ejpam-6228	109	16	algebra	algebra	NOUN
ejpam-6228	109	17	over	over	ADP
ejpam-6228	109	18	the	the	DET
ejpam-6228	109	19	real	real	ADJ
ejpam-6228	109	20	numbers203	numbers203	PROPN
ejpam-6228	109	21	r.	r.	PROPN
ejpam-6228	109	22	it	it	PRON
ejpam-6228	109	23	is	be	AUX
ejpam-6228	109	24	a	a	DET
ejpam-6228	109	25	non	non	ADJ
ejpam-6228	109	26	-	-	ADJ
ejpam-6228	109	27	commutative	commutative	ADJ
ejpam-6228	109	28	but	but	CCONJ
ejpam-6228	109	29	associative	associative	ADJ
ejpam-6228	109	30	unital	unital	ADJ
ejpam-6228	109	31	algebra	algebra	NOUN
ejpam-6228	109	32	if	if	SCONJ
ejpam-6228	109	33	it	it	PRON
ejpam-6228	109	34	satisfies	satisfy	VERB
ejpam-6228	109	35	the	the	DET
ejpam-6228	109	36	following204	following204	PROPN
ejpam-6228	109	37	conditions.205	conditions.205	PROPN
ejpam-6228	109	38	•	•	PROPN
ejpam-6228	109	39	h(r	h(r	NOUN
ejpam-6228	109	40	)	)	PUNCT
ejpam-6228	109	41	=	=	PRON
ejpam-6228	110	1	{	{	PUNCT
ejpam-6228	110	2	a0+a1i+a2j+a3k	a0+a1i+a2j+a3k	X
ejpam-6228	110	3	:	:	PUNCT
ejpam-6228	110	4	∀ai	∀ai	NUM
ejpam-6228	110	5	∈	∈	PROPN
ejpam-6228	110	6	r	r	NOUN
ejpam-6228	110	7	}	}	PUNCT
ejpam-6228	110	8	is	be	AUX
ejpam-6228	110	9	a	a	DET
ejpam-6228	110	10	free	free	ADJ
ejpam-6228	110	11	r	r	NOUN
ejpam-6228	110	12	-	-	PUNCT
ejpam-6228	110	13	module	module	NOUN
ejpam-6228	110	14	with	with	ADP
ejpam-6228	110	15	basis	basis	NOUN
ejpam-6228	110	16	{	{	PUNCT
ejpam-6228	110	17	±1,±i,±j,±k}.206	±1,±i,±j,±k}.206	ADJ
ejpam-6228	110	18	•	•	NUM
ejpam-6228	110	19	element	element	NOUN
ejpam-6228	110	20	1	1	NUM
ejpam-6228	110	21	is	be	AUX
ejpam-6228	110	22	the	the	DET
ejpam-6228	110	23	multiplicative	multiplicative	ADJ
ejpam-6228	110	24	identity.207	identity.207	NOUN
ejpam-6228	110	25	•	•	NUM
ejpam-6228	110	26	operations	operation	NOUN
ejpam-6228	110	27	on	on	ADP
ejpam-6228	110	28	the	the	DET
ejpam-6228	110	29	basis	basis	NOUN
ejpam-6228	110	30	elements	element	NOUN
ejpam-6228	110	31	±1,±i,±j,±k	±1,±i,±j,±k	PROPN
ejpam-6228	110	32	are	be	AUX
ejpam-6228	110	33	given	give	VERB
ejpam-6228	110	34	in	in	ADP
ejpam-6228	110	35	figure	figure	NOUN
ejpam-6228	110	36	.	.	PUNCT
ejpam-6228	111	1	1.208	1.208	NUM
ejpam-6228	111	2	figure	figure	NOUN
ejpam-6228	111	3	1	1	NUM
ejpam-6228	111	4	:	:	PUNCT
ejpam-6228	111	5	multiplication	multiplication	NOUN
ejpam-6228	111	6	of	of	ADP
ejpam-6228	111	7	basis	basis	NOUN
ejpam-6228	111	8	elements	element	NOUN
ejpam-6228	111	9	the	the	DET
ejpam-6228	111	10	ring	ring	NOUN
ejpam-6228	111	11	of	of	ADP
ejpam-6228	111	12	quaternion	quaternion	NOUN
ejpam-6228	111	13	h(z	h(z	NOUN
ejpam-6228	111	14	)	)	PUNCT
ejpam-6228	111	15	=	=	PRON
ejpam-6228	111	16	{	{	PUNCT
ejpam-6228	111	17	b0+b1i+b2j+b3k	b0+b1i+b2j+b3k	X
ejpam-6228	111	18	:	:	PUNCT
ejpam-6228	111	19	for	for	ADP
ejpam-6228	111	20	all	all	DET
ejpam-6228	111	21	b0	b0	NOUN
ejpam-6228	111	22	,	,	PUNCT
ejpam-6228	111	23	b1	b1	NOUN
ejpam-6228	111	24	,	,	PUNCT
ejpam-6228	111	25	b2	b2	NOUN
ejpam-6228	111	26	,	,	PUNCT
ejpam-6228	111	27	b3	b3	PROPN
ejpam-6228	111	28	∈	∈	PROPN
ejpam-6228	111	29	z	z	AUX
ejpam-6228	111	30	}	}	PUNCT
ejpam-6228	111	31	contained209	contained209	VERB
ejpam-6228	111	32	in	in	ADP
ejpam-6228	111	33	h(r	h(r	NOUN
ejpam-6228	111	34	)	)	PUNCT
ejpam-6228	111	35	,	,	PUNCT
ejpam-6228	111	36	where	where	SCONJ
ejpam-6228	111	37	z	z	NOUN
ejpam-6228	111	38	is	be	AUX
ejpam-6228	111	39	the	the	DET
ejpam-6228	111	40	ring	ring	NOUN
ejpam-6228	111	41	of	of	ADP
ejpam-6228	111	42	integers	integer	NOUN
ejpam-6228	111	43	.	.	PUNCT
ejpam-6228	112	1	if	if	SCONJ
ejpam-6228	112	2	q	q	NOUN
ejpam-6228	112	3	=	=	SYM
ejpam-6228	112	4	b0	b0	NOUN
ejpam-6228	112	5	+	+	NOUN
ejpam-6228	112	6	b1i+	b1i+	NOUN
ejpam-6228	112	7	b2j+	b2j+	NOUN
ejpam-6228	112	8	b3k	b3k	PROPN
ejpam-6228	112	9	is	be	AUX
ejpam-6228	112	10	a	a	DET
ejpam-6228	112	11	quaternion	quaternion	NOUN
ejpam-6228	112	12	integer,210	integer,210	NOUN
ejpam-6228	112	13	then	then	ADV
ejpam-6228	112	14	q̄	q̄	ADJ
ejpam-6228	112	15	=	=	PUNCT
ejpam-6228	112	16	b0−b1i−b2j−b3k	b0−b1i−b2j−b3k	PROPN
ejpam-6228	112	17	is	be	AUX
ejpam-6228	112	18	the	the	DET
ejpam-6228	112	19	quaternion	quaternion	ADJ
ejpam-6228	112	20	conjugate	conjugate	NOUN
ejpam-6228	112	21	of	of	ADP
ejpam-6228	112	22	q.	q.	PROPN
ejpam-6228	112	23	letn(q	letn(q	PROPN
ejpam-6228	112	24	)	)	PUNCT
ejpam-6228	112	25	=	=	SYM
ejpam-6228	112	26	qq̄	qq̄	NOUN
ejpam-6228	112	27	=	=	NOUN
ejpam-6228	112	28	b20+b21+b22+b23211	b20+b21+b22+b23211	NOUN
ejpam-6228	112	29	be	be	AUX
ejpam-6228	112	30	the	the	DET
ejpam-6228	112	31	norm	norm	NOUN
ejpam-6228	112	32	of	of	ADP
ejpam-6228	112	33	q.	q.	PROPN
ejpam-6228	112	34	a	a	DET
ejpam-6228	112	35	quaternion	quaternion	NOUN
ejpam-6228	112	36	integer	integer	NOUN
ejpam-6228	112	37	q	q	PROPN
ejpam-6228	112	38	has	have	VERB
ejpam-6228	112	39	only	only	ADV
ejpam-6228	112	40	two	two	NUM
ejpam-6228	112	41	parts	part	NOUN
ejpam-6228	112	42	:	:	PUNCT
ejpam-6228	112	43	one	one	NUM
ejpam-6228	112	44	is	be	AUX
ejpam-6228	112	45	the	the	DET
ejpam-6228	112	46	scalar	scalar	ADJ
ejpam-6228	112	47	part	part	NOUN
ejpam-6228	112	48	(	(	PUNCT
ejpam-6228	112	49	s.p.)212	s.p.)212	PROPN
ejpam-6228	112	50	b0	b0	NOUN
ejpam-6228	112	51	and	and	CCONJ
ejpam-6228	112	52	the	the	DET
ejpam-6228	112	53	other	other	ADJ
ejpam-6228	112	54	is	be	AUX
ejpam-6228	112	55	the	the	DET
ejpam-6228	112	56	vector	vector	NOUN
ejpam-6228	112	57	part	part	NOUN
ejpam-6228	112	58	(	(	PUNCT
ejpam-6228	112	59	v.p	v.p	PROPN
ejpam-6228	112	60	.	.	PUNCT
ejpam-6228	112	61	)	)	PUNCT
ejpam-6228	112	62	b1i+b2j+b3k	b1i+b2j+b3k	PROPN
ejpam-6228	112	63	.	.	PUNCT
ejpam-6228	113	1	in	in	ADP
ejpam-6228	113	2	a	a	DET
ejpam-6228	113	3	quaternion	quaternion	NOUN
ejpam-6228	113	4	,	,	PUNCT
ejpam-6228	113	5	the	the	DET
ejpam-6228	113	6	commutative213	commutative213	PROPN
ejpam-6228	113	7	property	property	NOUN
ejpam-6228	113	8	of	of	ADP
ejpam-6228	113	9	multiplication	multiplication	NOUN
ejpam-6228	113	10	does	do	AUX
ejpam-6228	113	11	not	not	PART
ejpam-6228	113	12	hold	hold	VERB
ejpam-6228	113	13	.	.	PUNCT
ejpam-6228	114	1	it	it	PRON
ejpam-6228	114	2	is	be	AUX
ejpam-6228	114	3	possible	possible	ADJ
ejpam-6228	114	4	only	only	ADV
ejpam-6228	114	5	in	in	ADP
ejpam-6228	114	6	the	the	DET
ejpam-6228	114	7	case	case	NOUN
ejpam-6228	114	8	of	of	ADP
ejpam-6228	114	9	two	two	NUM
ejpam-6228	114	10	vector	vector	NOUN
ejpam-6228	114	11	parts214	parts214	PROPN
ejpam-6228	114	12	of	of	ADP
ejpam-6228	114	13	quaternion	quaternion	NOUN
ejpam-6228	114	14	integers	integer	NOUN
ejpam-6228	114	15	being	be	AUX
ejpam-6228	114	16	parallel.215	parallel.215	ADJ
ejpam-6228	114	17	m.	m.	NOUN
ejpam-6228	114	18	sajjad	sajjad	PROPN
ejpam-6228	114	19	,	,	PUNCT
ejpam-6228	114	20	n.	n.	PROPN
ejpam-6228	114	21	a.	a.	NOUN
ejpam-6228	114	22	alqwaifly	alqwaifly	PROPN
ejpam-6228	114	23	/	/	SYM
ejpam-6228	114	24	eur	eur	PROPN
ejpam-6228	114	25	.	.	PUNCT
ejpam-6228	115	1	j.	j.	PROPN
ejpam-6228	115	2	pure	pure	PROPN
ejpam-6228	115	3	appl	appl	PROPN
ejpam-6228	115	4	.	.	PROPN
ejpam-6228	115	5	math	math	PROPN
ejpam-6228	115	6	,	,	PUNCT
ejpam-6228	115	7	18	18	NUM
ejpam-6228	115	8	(	(	PUNCT
ejpam-6228	115	9	2	2	NUM
ejpam-6228	115	10	)	)	PUNCT
ejpam-6228	115	11	(	(	PUNCT
ejpam-6228	115	12	2025	2025	NUM
ejpam-6228	115	13	)	)	PUNCT
ejpam-6228	115	14	,	,	PUNCT
ejpam-6228	115	15	6228	6228	NUM
ejpam-6228	115	16	7	7	NUM
ejpam-6228	115	17	of	of	ADP
ejpam-6228	115	18	35	35	NUM
ejpam-6228	115	19	2.1	2.1	NUM
ejpam-6228	115	20	.	.	PUNCT
ejpam-6228	116	1	subring	subre	VERB
ejpam-6228	116	2	of	of	ADP
ejpam-6228	116	3	the	the	DET
ejpam-6228	116	4	quaternion	quaternion	NOUN
ejpam-6228	116	5	integer	integer	NOUN
ejpam-6228	116	6	ring	ring	NOUN
ejpam-6228	116	7	[	[	X
ejpam-6228	116	8	7	7	NUM
ejpam-6228	116	9	,	,	PUNCT
ejpam-6228	116	10	11]216	11]216	NUM
ejpam-6228	116	11	define	define	VERB
ejpam-6228	116	12	h(k	h(k	NOUN
ejpam-6228	116	13	)	)	PUNCT
ejpam-6228	116	14	as:217	as:217	PRON
ejpam-6228	116	15	h(k	h(k	NOUN
ejpam-6228	116	16	)	)	PUNCT
ejpam-6228	117	1	=	=	PRON
ejpam-6228	117	2	{	{	PUNCT
ejpam-6228	117	3	a+	a+	PUNCT
ejpam-6228	117	4	bu	bu	ADV
ejpam-6228	117	5	|	|	ADV
ejpam-6228	117	6	a	a	PRON
ejpam-6228	117	7	,	,	PUNCT
ejpam-6228	117	8	b	b	X
ejpam-6228	117	9	∈	∈	PROPN
ejpam-6228	117	10	z	z	NOUN
ejpam-6228	117	11	}	}	PUNCT
ejpam-6228	117	12	,	,	PUNCT
ejpam-6228	117	13	where	where	SCONJ
ejpam-6228	117	14	u	u	NOUN
ejpam-6228	117	15	=	=	NOUN
ejpam-6228	117	16	i+	i+	PROPN
ejpam-6228	117	17	j	j	PROPN
ejpam-6228	117	18	+	+	PROPN
ejpam-6228	117	19	k.	k.	PROPN
ejpam-6228	117	20	hence	hence	ADV
ejpam-6228	117	21	,	,	PUNCT
ejpam-6228	117	22	h(k	h(k	PROPN
ejpam-6228	117	23	)	)	PUNCT
ejpam-6228	117	24	is	be	AUX
ejpam-6228	117	25	a	a	DET
ejpam-6228	117	26	subring	subring	NOUN
ejpam-6228	117	27	of	of	ADP
ejpam-6228	117	28	the	the	DET
ejpam-6228	117	29	quaternion	quaternion	NOUN
ejpam-6228	117	30	integer	integer	NOUN
ejpam-6228	117	31	ring	ring	NOUN
ejpam-6228	117	32	h(z	h(z	NOUN
ejpam-6228	117	33	)	)	PUNCT
ejpam-6228	117	34	,	,	PUNCT
ejpam-6228	117	35	and218	and218	NOUN
ejpam-6228	117	36	also	also	ADV
ejpam-6228	117	37	the	the	DET
ejpam-6228	117	38	commutative	commutative	ADJ
ejpam-6228	117	39	property	property	NOUN
ejpam-6228	117	40	of	of	ADP
ejpam-6228	117	41	multiplication	multiplication	NOUN
ejpam-6228	117	42	holds	hold	VERB
ejpam-6228	117	43	h(k).219	h(k).219	PROPN
ejpam-6228	117	44	2.2	2.2	NUM
ejpam-6228	117	45	.	.	PUNCT
ejpam-6228	118	1	sum	sum	NOUN
ejpam-6228	118	2	and	and	CCONJ
ejpam-6228	118	3	product	product	NOUN
ejpam-6228	118	4	of	of	ADP
ejpam-6228	118	5	two	two	NUM
ejpam-6228	118	6	quaternions	quaternion	NOUN
ejpam-6228	119	1	[	[	X
ejpam-6228	119	2	6]220	6]220	NUM
ejpam-6228	119	3	let	let	NOUN
ejpam-6228	119	4	q1	q1	PROPN
ejpam-6228	119	5	=	=	SYM
ejpam-6228	119	6	c0	c0	PROPN
ejpam-6228	119	7	+	+	CCONJ
ejpam-6228	119	8	c1i+	c1i+	NOUN
ejpam-6228	119	9	c2j	c2j	PROPN
ejpam-6228	119	10	+	+	CCONJ
ejpam-6228	119	11	c3k	c3k	PROPN
ejpam-6228	119	12	and	and	CCONJ
ejpam-6228	119	13	q2	q2	NOUN
ejpam-6228	119	14	=	=	SYM
ejpam-6228	119	15	d0	d0	PROPN
ejpam-6228	119	16	+	+	CCONJ
ejpam-6228	119	17	d1i+	d1i+	NOUN
ejpam-6228	119	18	d2j	d2j	NOUN
ejpam-6228	119	19	+	+	CCONJ
ejpam-6228	119	20	d3k	d3k	NOUN
ejpam-6228	119	21	be	be	VERB
ejpam-6228	119	22	two	two	NUM
ejpam-6228	119	23	quaternion	quaternion	NOUN
ejpam-6228	119	24	integers.221	integers.221	ADV
ejpam-6228	119	25	then	then	ADV
ejpam-6228	119	26	,	,	PUNCT
ejpam-6228	119	27	their	their	PRON
ejpam-6228	119	28	sum	sum	NOUN
ejpam-6228	119	29	q1	q1	PROPN
ejpam-6228	119	30	+	+	CCONJ
ejpam-6228	119	31	q2	q2	NOUN
ejpam-6228	119	32	and	and	CCONJ
ejpam-6228	119	33	product	product	NOUN
ejpam-6228	119	34	q1q2	q1q2	NOUN
ejpam-6228	119	35	will	will	AUX
ejpam-6228	119	36	also	also	ADV
ejpam-6228	119	37	be	be	AUX
ejpam-6228	119	38	quaternion	quaternion	ADJ
ejpam-6228	119	39	integers	integer	NOUN
ejpam-6228	119	40	as:222	as:222	NOUN
ejpam-6228	119	41	q1	q1	PROPN
ejpam-6228	119	42	+	+	CCONJ
ejpam-6228	119	43	q2	q2	NOUN
ejpam-6228	119	44	=	=	SYM
ejpam-6228	119	45	(	(	PUNCT
ejpam-6228	119	46	c0	c0	NOUN
ejpam-6228	119	47	+	+	CCONJ
ejpam-6228	119	48	c1i+	c1i+	NOUN
ejpam-6228	119	49	c2j	c2j	PROPN
ejpam-6228	119	50	+	+	CCONJ
ejpam-6228	119	51	c3k	c3k	PROPN
ejpam-6228	119	52	)	)	PUNCT
ejpam-6228	119	53	+	+	CCONJ
ejpam-6228	119	54	(	(	PUNCT
ejpam-6228	119	55	d0	d0	NOUN
ejpam-6228	119	56	+	+	CCONJ
ejpam-6228	119	57	d1i+	d1i+	NOUN
ejpam-6228	119	58	d2j	d2j	NOUN
ejpam-6228	119	59	+	+	CCONJ
ejpam-6228	119	60	d3k	d3k	NOUN
ejpam-6228	119	61	)	)	PUNCT
ejpam-6228	119	62	223	223	NUM
ejpam-6228	120	1	=	=	SYM
ejpam-6228	120	2	(	(	PUNCT
ejpam-6228	120	3	c0	c0	NOUN
ejpam-6228	120	4	+	+	CCONJ
ejpam-6228	120	5	d0	d0	NOUN
ejpam-6228	120	6	)	)	PUNCT
ejpam-6228	120	7	+	+	CCONJ
ejpam-6228	120	8	(	(	PUNCT
ejpam-6228	120	9	c1	c1	NOUN
ejpam-6228	120	10	+	+	CCONJ
ejpam-6228	120	11	d1)i+	d1)i+	PROPN
ejpam-6228	120	12	(	(	PUNCT
ejpam-6228	120	13	c2	c2	PROPN
ejpam-6228	120	14	+	+	CCONJ
ejpam-6228	120	15	d2)j	d2)j	PROPN
ejpam-6228	120	16	+	+	CCONJ
ejpam-6228	120	17	(	(	PUNCT
ejpam-6228	120	18	c3	c3	NOUN
ejpam-6228	120	19	+	+	CCONJ
ejpam-6228	120	20	d3)k	d3)k	NOUN
ejpam-6228	120	21	=	=	SYM
ejpam-6228	120	22	e0	e0	PROPN
ejpam-6228	120	23	+	+	PUNCT
ejpam-6228	120	24	e1i+	e1i+	NOUN
ejpam-6228	120	25	e2j	e2j	PROPN
ejpam-6228	120	26	+	+	PUNCT
ejpam-6228	120	27	e3k	e3k	ADJ
ejpam-6228	120	28	=	=	PUNCT
ejpam-6228	120	29	q3	q3	NOUN
ejpam-6228	120	30	.	.	PUNCT
ejpam-6228	121	1	224	224	NUM
ejpam-6228	121	2	q1q2	q1q2	NOUN
ejpam-6228	121	3	=	=	SYM
ejpam-6228	121	4	(	(	PUNCT
ejpam-6228	121	5	c0	c0	NOUN
ejpam-6228	121	6	+	+	CCONJ
ejpam-6228	121	7	c1i+	c1i+	NOUN
ejpam-6228	121	8	c2j	c2j	NOUN
ejpam-6228	121	9	+	+	NUM
ejpam-6228	121	10	c3k)(d0	c3k)(d0	X
ejpam-6228	121	11	+	+	CCONJ
ejpam-6228	121	12	d1i+	d1i+	NOUN
ejpam-6228	121	13	d2j	d2j	NOUN
ejpam-6228	121	14	+	+	CCONJ
ejpam-6228	121	15	d3k	d3k	NOUN
ejpam-6228	121	16	)	)	PUNCT
ejpam-6228	121	17	=	=	PUNCT
ejpam-6228	121	18	c0d0	c0d0	X
ejpam-6228	121	19	+	+	PUNCT
ejpam-6228	121	20	c0d1i+	c0d1i+	NOUN
ejpam-6228	121	21	c0d2j	c0d2j	PUNCT
ejpam-6228	121	22	+	+	CCONJ
ejpam-6228	121	23	c0d3k	c0d3k	NUM
ejpam-6228	121	24	+	+	NUM
ejpam-6228	121	25	c1d0i−	c1d0i−	PUNCT
ejpam-6228	121	26	c1d1	c1d1	NOUN
ejpam-6228	121	27	+	+	CCONJ
ejpam-6228	121	28	c1d2k	c1d2k	NUM
ejpam-6228	121	29	−	−	NOUN
ejpam-6228	121	30	c1d3j	c1d3j	NUM
ejpam-6228	121	31	+	+	CCONJ
ejpam-6228	121	32	c2d0j	c2d0j	NUM
ejpam-6228	121	33	−	−	NOUN
ejpam-6228	121	34	c2d1k	c2d1k	PUNCT
ejpam-6228	122	1	−	−	PROPN
ejpam-6228	122	2	c2d2	c2d2	X
ejpam-6228	122	3	+	+	X
ejpam-6228	122	4	c2d3i	c2d3i	X
ejpam-6228	122	5	+	+	NOUN
ejpam-6228	122	6	c3d0k	c3d0k	NUM
ejpam-6228	122	7	+	+	NUM
ejpam-6228	122	8	c3d1j	c3d1j	NUM
ejpam-6228	123	1	−	−	ADP
ejpam-6228	123	2	c3d2i−	c3d2i−	PUNCT
ejpam-6228	124	1	c3d3	c3d3	X
ejpam-6228	124	2	=	=	SYM
ejpam-6228	124	3	(	(	PUNCT
ejpam-6228	124	4	c0d0	c0d0	X
ejpam-6228	124	5	−	−	NOUN
ejpam-6228	124	6	c1d1	c1d1	NOUN
ejpam-6228	124	7	−	−	NOUN
ejpam-6228	124	8	c2d2	c2d2	X
ejpam-6228	124	9	−	−	NOUN
ejpam-6228	124	10	c3d3	c3d3	NOUN
ejpam-6228	124	11	)	)	PUNCT
ejpam-6228	124	12	+	+	CCONJ
ejpam-6228	124	13	(	(	PUNCT
ejpam-6228	124	14	c0d1	c0d1	X
ejpam-6228	124	15	+	+	X
ejpam-6228	124	16	c1d0	c1d0	PUNCT
ejpam-6228	124	17	+	+	CCONJ
ejpam-6228	124	18	c2d3	c2d3	VERB
ejpam-6228	124	19	−	−	NOUN
ejpam-6228	124	20	c3d2)i	c3d2)i	NOUN
ejpam-6228	124	21	+	+	CCONJ
ejpam-6228	124	22	(	(	PUNCT
ejpam-6228	124	23	c0d2	c0d2	X
ejpam-6228	124	24	+	+	X
ejpam-6228	124	25	c2d0	c2d0	VERB
ejpam-6228	124	26	+	+	X
ejpam-6228	124	27	c3d1	c3d1	X
ejpam-6228	124	28	−	−	PROPN
ejpam-6228	124	29	c1d3)j	c1d3)j	PROPN
ejpam-6228	124	30	+	+	CCONJ
ejpam-6228	124	31	(	(	PUNCT
ejpam-6228	124	32	c0d3	c0d3	X
ejpam-6228	124	33	+	+	CCONJ
ejpam-6228	124	34	c3d0	c3d0	PROPN
ejpam-6228	124	35	+	+	NUM
ejpam-6228	124	36	c1d2	c1d2	PUNCT
ejpam-6228	124	37	−	−	NOUN
ejpam-6228	124	38	c2d1)k	c2d1)k	PROPN
ejpam-6228	124	39	=	=	PROPN
ejpam-6228	124	40	g0	g0	PROPN
ejpam-6228	124	41	+	+	CCONJ
ejpam-6228	124	42	g1i+	g1i+	NOUN
ejpam-6228	124	43	g2j	g2j	VERB
ejpam-6228	124	44	+	+	CCONJ
ejpam-6228	124	45	g3k	g3k	PROPN
ejpam-6228	124	46	=	=	SYM
ejpam-6228	124	47	q4	q4	PROPN
ejpam-6228	124	48	.	.	PUNCT
ejpam-6228	125	1	theorem	theorem	VERB
ejpam-6228	125	2	1	1	NUM
ejpam-6228	125	3	.	.	PUNCT
ejpam-6228	126	1	[	[	X
ejpam-6228	126	2	3	3	NUM
ejpam-6228	126	3	,	,	PUNCT
ejpam-6228	126	4	11	11	NUM
ejpam-6228	126	5	]	]	PUNCT
ejpam-6228	126	6	,	,	PUNCT
ejpam-6228	126	7	the	the	DET
ejpam-6228	126	8	set	set	NOUN
ejpam-6228	126	9	of	of	ADP
ejpam-6228	126	10	natural	natural	ADJ
ejpam-6228	126	11	numbers	number	NOUN
ejpam-6228	126	12	for	for	ADP
ejpam-6228	126	13	each	each	DET
ejpam-6228	126	14	odd	odd	ADJ
ejpam-6228	126	15	rational	rational	ADJ
ejpam-6228	126	16	prime	prime	NOUN
ejpam-6228	126	17	p	p	NOUN
ejpam-6228	126	18	,	,	PUNCT
ejpam-6228	126	19	there	there	PRON
ejpam-6228	126	20	exists225	exists225	VERB
ejpam-6228	126	21	a	a	DET
ejpam-6228	126	22	prime	prime	ADJ
ejpam-6228	126	23	δ	δ	PROPN
ejpam-6228	126	24	∈	∈	PROPN
ejpam-6228	126	25	h(z	h(z	PROPN
ejpam-6228	126	26	)	)	PUNCT
ejpam-6228	126	27	such	such	ADJ
ejpam-6228	126	28	that,226	that,226	ADP
ejpam-6228	126	29	n(δ	n(δ	PROPN
ejpam-6228	126	30	)	)	PUNCT
ejpam-6228	127	1	=	=	PUNCT
ejpam-6228	128	1	p	p	NOUN
ejpam-6228	128	2	=	=	PUNCT
ejpam-6228	128	3	δδ̄	δδ̄	NOUN
ejpam-6228	128	4	,	,	PUNCT
ejpam-6228	128	5	in	in	ADP
ejpam-6228	128	6	particular	particular	ADJ
ejpam-6228	128	7	,	,	PUNCT
ejpam-6228	128	8	p	p	PRON
ejpam-6228	128	9	is	be	AUX
ejpam-6228	128	10	not	not	PART
ejpam-6228	128	11	prime	prime	ADJ
ejpam-6228	128	12	in	in	ADP
ejpam-6228	128	13	h(z).227	h(z).227	PROPN
ejpam-6228	128	14	theorem	theorem	VERB
ejpam-6228	128	15	2	2	NUM
ejpam-6228	128	16	.	.	PUNCT
ejpam-6228	129	1	[	[	X
ejpam-6228	129	2	3	3	NUM
ejpam-6228	129	3	,	,	PUNCT
ejpam-6228	129	4	11	11	NUM
ejpam-6228	129	5	]	]	PUNCT
ejpam-6228	129	6	,	,	PUNCT
ejpam-6228	129	7	let	let	VERB
ejpam-6228	129	8	δ	δ	PROPN
ejpam-6228	129	9	∈	∈	PROPN
ejpam-6228	129	10	h(z	h(z	PROPN
ejpam-6228	129	11	)	)	PUNCT
ejpam-6228	129	12	be	be	VERB
ejpam-6228	129	13	prime	prime	ADJ
ejpam-6228	129	14	in	in	ADP
ejpam-6228	129	15	h(z	h(z	NOUN
ejpam-6228	129	16	)	)	PUNCT
ejpam-6228	129	17	if	if	SCONJ
ejpam-6228	129	18	and	and	CCONJ
ejpam-6228	129	19	only	only	ADV
ejpam-6228	129	20	if	if	SCONJ
ejpam-6228	129	21	n(δ	n(δ	PROPN
ejpam-6228	129	22	)	)	PUNCT
ejpam-6228	129	23	is	be	AUX
ejpam-6228	129	24	prime	prime	ADJ
ejpam-6228	129	25	in	in	ADP
ejpam-6228	129	26	z.228	z.228	PROPN
ejpam-6228	129	27	definition	definition	NOUN
ejpam-6228	129	28	1	1	NUM
ejpam-6228	129	29	.	.	PUNCT
ejpam-6228	130	1	[	[	X
ejpam-6228	130	2	3	3	NUM
ejpam-6228	130	3	,	,	PUNCT
ejpam-6228	130	4	11	11	NUM
ejpam-6228	130	5	]	]	PUNCT
ejpam-6228	130	6	,	,	PUNCT
ejpam-6228	130	7	let	let	VERB
ejpam-6228	130	8	h(k)δ	h(k)δ	PROPN
ejpam-6228	130	9	be	be	AUX
ejpam-6228	130	10	the	the	DET
ejpam-6228	130	11	residue	residue	NOUN
ejpam-6228	130	12	class	class	NOUN
ejpam-6228	130	13	of	of	ADP
ejpam-6228	130	14	h(k	h(k	PROPN
ejpam-6228	130	15	)	)	PUNCT
ejpam-6228	131	1	modulo	modulo	PROPN
ejpam-6228	131	2	δ	δ	PROPN
ejpam-6228	131	3	,	,	PUNCT
ejpam-6228	131	4	where	where	SCONJ
ejpam-6228	131	5	δ	δ	PROPN
ejpam-6228	131	6	=	=	SYM
ejpam-6228	131	7	a+bu	a+bu	NOUN
ejpam-6228	131	8	.229	.229	NUM
ejpam-6228	132	1	then	then	ADV
ejpam-6228	132	2	the	the	DET
ejpam-6228	132	3	modulo	modulo	ADJ
ejpam-6228	132	4	function	function	NOUN
ejpam-6228	132	5	is	be	AUX
ejpam-6228	132	6	defined	define	VERB
ejpam-6228	132	7	as:230	as:230	ADP
ejpam-6228	132	8	ϕ	ϕ	NOUN
ejpam-6228	132	9	:	:	PUNCT
ejpam-6228	132	10	h(k	h(k	X
ejpam-6228	132	11	)	)	PUNCT
ejpam-6228	132	12	=	=	PRON
ejpam-6228	132	13	{	{	PUNCT
ejpam-6228	132	14	a+	a+	X
ejpam-6228	132	15	bu	bu	NOUN
ejpam-6228	132	16	:	:	PUNCT
ejpam-6228	132	17	a	a	X
ejpam-6228	132	18	,	,	PUNCT
ejpam-6228	132	19	b	b	X
ejpam-6228	132	20	∈	∈	PROPN
ejpam-6228	132	21	z	z	NOUN
ejpam-6228	132	22	}	}	PUNCT
ejpam-6228	132	23	→	→	SYM
ejpam-6228	132	24	h(k)δ	h(k)δ	PROPN
ejpam-6228	132	25	,	,	PUNCT
ejpam-6228	132	26	231	231	NUM
ejpam-6228	132	27	ϕ(q	ϕ(q	NOUN
ejpam-6228	132	28	)	)	PUNCT
ejpam-6228	133	1	=	=	PUNCT
ejpam-6228	133	2	z	z	NOUN
ejpam-6228	133	3	mod	mod	PROPN
ejpam-6228	133	4	δ	δ	PROPN
ejpam-6228	133	5	=	=	PUNCT
ejpam-6228	133	6	q	q	PROPN
ejpam-6228	134	1	−	−	PROPN
ejpam-6228	134	2	[	[	PUNCT
ejpam-6228	134	3	qδ̄	qδ̄	X
ejpam-6228	134	4	p	p	X
ejpam-6228	134	5	]	]	X
ejpam-6228	134	6	δ	δ	PROPN
ejpam-6228	134	7	,	,	PUNCT
ejpam-6228	134	8	where	where	SCONJ
ejpam-6228	134	9	z	z	PROPN
ejpam-6228	134	10	∈	∈	PROPN
ejpam-6228	134	11	h(k)δ	h(k)δ	PROPN
ejpam-6228	134	12	,	,	PUNCT
ejpam-6228	134	13	and	and	CCONJ
ejpam-6228	134	14	the	the	DET
ejpam-6228	134	15	brackets	bracket	NOUN
ejpam-6228	134	16	[	[	PUNCT
ejpam-6228	134	17	·	·	PUNCT
ejpam-6228	134	18	]	]	PUNCT
ejpam-6228	134	19	denote	denote	NOUN
ejpam-6228	134	20	rounding	round	VERB
ejpam-6228	134	21	to	to	ADP
ejpam-6228	134	22	the	the	DET
ejpam-6228	134	23	nearest	near	ADJ
ejpam-6228	134	24	integer	integer	NOUN
ejpam-6228	134	25	.	.	PUNCT
ejpam-6228	135	1	to	to	ADP
ejpam-6228	135	2	perform232	perform232	PROPN
ejpam-6228	135	3	quaternion	quaternion	PROPN
ejpam-6228	135	4	integer	integer	NOUN
ejpam-6228	135	5	(	(	PUNCT
ejpam-6228	135	6	qi	qi	NOUN
ejpam-6228	135	7	)	)	PUNCT
ejpam-6228	135	8	rounding	rounding	NOUN
ejpam-6228	135	9	,	,	PUNCT
ejpam-6228	135	10	the	the	DET
ejpam-6228	135	11	scalar	scalar	ADJ
ejpam-6228	135	12	part	part	NOUN
ejpam-6228	135	13	(	(	PUNCT
ejpam-6228	135	14	s.p	s.p	PROPN
ejpam-6228	135	15	.	.	PUNCT
ejpam-6228	135	16	)	)	PUNCT
ejpam-6228	135	17	and	and	CCONJ
ejpam-6228	135	18	the	the	DET
ejpam-6228	135	19	coefficient	coefficient	NOUN
ejpam-6228	135	20	of	of	ADP
ejpam-6228	135	21	the	the	DET
ejpam-6228	135	22	vector233	vector233	PROPN
ejpam-6228	135	23	part	part	NOUN
ejpam-6228	135	24	(	(	PUNCT
ejpam-6228	135	25	c.v.p	c.v.p	NOUN
ejpam-6228	135	26	.	.	PUNCT
ejpam-6228	135	27	)	)	PUNCT
ejpam-6228	135	28	must	must	AUX
ejpam-6228	135	29	be	be	AUX
ejpam-6228	135	30	independently	independently	ADV
ejpam-6228	135	31	rounded	rounded	ADJ
ejpam-6228	135	32	to	to	ADP
ejpam-6228	135	33	the	the	DET
ejpam-6228	135	34	nearest	near	ADJ
ejpam-6228	135	35	integers.234	integers.234	PROPN
ejpam-6228	135	36	m.	m.	PROPN
ejpam-6228	135	37	sajjad	sajjad	PROPN
ejpam-6228	135	38	,	,	PUNCT
ejpam-6228	135	39	n.	n.	PROPN
ejpam-6228	135	40	a.	a.	NOUN
ejpam-6228	135	41	alqwaifly	alqwaifly	PROPN
ejpam-6228	135	42	/	/	SYM
ejpam-6228	135	43	eur	eur	PROPN
ejpam-6228	135	44	.	.	PUNCT
ejpam-6228	136	1	j.	j.	PROPN
ejpam-6228	136	2	pure	pure	PROPN
ejpam-6228	136	3	appl	appl	PROPN
ejpam-6228	136	4	.	.	PROPN
ejpam-6228	136	5	math	math	PROPN
ejpam-6228	136	6	,	,	PUNCT
ejpam-6228	136	7	18	18	NUM
ejpam-6228	136	8	(	(	PUNCT
ejpam-6228	136	9	2	2	NUM
ejpam-6228	136	10	)	)	PUNCT
ejpam-6228	136	11	(	(	PUNCT
ejpam-6228	136	12	2025	2025	NUM
ejpam-6228	136	13	)	)	PUNCT
ejpam-6228	136	14	,	,	PUNCT
ejpam-6228	136	15	6228	6228	NUM
ejpam-6228	136	16	8	8	NUM
ejpam-6228	136	17	of	of	ADP
ejpam-6228	136	18	35	35	NUM
ejpam-6228	136	19	definition	definition	NOUN
ejpam-6228	136	20	2	2	NUM
ejpam-6228	136	21	.	.	PUNCT
ejpam-6228	137	1	[	[	X
ejpam-6228	137	2	3	3	NUM
ejpam-6228	137	3	,	,	PUNCT
ejpam-6228	137	4	11	11	NUM
ejpam-6228	137	5	]	]	PUNCT
ejpam-6228	137	6	,	,	PUNCT
ejpam-6228	137	7	let	let	VERB
ejpam-6228	137	8	β	β	X
ejpam-6228	137	9	,	,	PUNCT
ejpam-6228	137	10	ρ	ρ	PROPN
ejpam-6228	137	11	∈	∈	PROPN
ejpam-6228	137	12	h(k)δ	h(k)δ	PROPN
ejpam-6228	137	13	and	and	CCONJ
ejpam-6228	137	14	define	define	VERB
ejpam-6228	137	15	α	α	NOUN
ejpam-6228	137	16	=	=	NOUN
ejpam-6228	137	17	β	β	X
ejpam-6228	137	18	−	−	PROPN
ejpam-6228	137	19	ρ	ρ	PROPN
ejpam-6228	137	20	=	=	SYM
ejpam-6228	137	21	(	(	PUNCT
ejpam-6228	137	22	b0	b0	NOUN
ejpam-6228	137	23	+	+	CCONJ
ejpam-6228	137	24	b1i	b1i	PROPN
ejpam-6228	137	25	+	+	CCONJ
ejpam-6228	137	26	b2j	b2j	PROPN
ejpam-6228	137	27	+	+	CCONJ
ejpam-6228	137	28	b3k)235	b3k)235	VERB
ejpam-6228	137	29	mod	mod	PROPN
ejpam-6228	137	30	δ	δ	PROPN
ejpam-6228	137	31	.	.	PUNCT
ejpam-6228	138	1	the	the	DET
ejpam-6228	138	2	quaternion	quaternion	PROPN
ejpam-6228	138	3	mannheim	mannheim	NOUN
ejpam-6228	138	4	weight	weight	NOUN
ejpam-6228	138	5	wqm	wqm	NOUN
ejpam-6228	138	6	(	(	PUNCT
ejpam-6228	138	7	α	α	NOUN
ejpam-6228	138	8	)	)	PUNCT
ejpam-6228	138	9	is	be	AUX
ejpam-6228	138	10	defined	define	VERB
ejpam-6228	138	11	as:236	as:236	VERB
ejpam-6228	138	12	wqm	wqm	NOUN
ejpam-6228	138	13	(	(	PUNCT
ejpam-6228	138	14	α	α	NOUN
ejpam-6228	138	15	)	)	PUNCT
ejpam-6228	138	16	=	=	SYM
ejpam-6228	138	17	|b0|+	|b0|+	X
ejpam-6228	138	18	|b1|+	|b1|+	NOUN
ejpam-6228	138	19	|b2|+	|b2|+	X
ejpam-6228	138	20	|b3|	|b3|	NOUN
ejpam-6228	138	21	.	.	PUNCT
ejpam-6228	139	1	the	the	DET
ejpam-6228	139	2	quaternion	quaternion	PROPN
ejpam-6228	139	3	mannheim	mannheim	PROPN
ejpam-6228	139	4	distance	distance	NOUN
ejpam-6228	139	5	dqm	dqm	NOUN
ejpam-6228	139	6	(	(	PUNCT
ejpam-6228	139	7	ρ	ρ	PROPN
ejpam-6228	139	8	,	,	PUNCT
ejpam-6228	139	9	β	β	NOUN
ejpam-6228	139	10	)	)	PUNCT
ejpam-6228	139	11	between	between	ADP
ejpam-6228	139	12	β	β	PROPN
ejpam-6228	139	13	and	and	CCONJ
ejpam-6228	139	14	ρ	ρ	PROPN
ejpam-6228	139	15	is	be	AUX
ejpam-6228	139	16	then	then	ADV
ejpam-6228	139	17	given	give	VERB
ejpam-6228	139	18	by:237	by:237	PROPN
ejpam-6228	139	19	dqm	dqm	PROPN
ejpam-6228	139	20	(	(	PUNCT
ejpam-6228	139	21	ρ	ρ	PROPN
ejpam-6228	139	22	,	,	PUNCT
ejpam-6228	139	23	β	β	NOUN
ejpam-6228	139	24	)	)	PUNCT
ejpam-6228	139	25	=	=	PUNCT
ejpam-6228	139	26	wqm	wqm	NOUN
ejpam-6228	139	27	(	(	PUNCT
ejpam-6228	139	28	α	α	NOUN
ejpam-6228	139	29	)	)	PUNCT
ejpam-6228	139	30	.	.	PUNCT
ejpam-6228	140	1	remark	remark	PROPN
ejpam-6228	140	2	1	1	NUM
ejpam-6228	140	3	.	.	PUNCT
ejpam-6228	141	1	[	[	X
ejpam-6228	141	2	11	11	NUM
ejpam-6228	141	3	]	]	PUNCT
ejpam-6228	141	4	,	,	PUNCT
ejpam-6228	141	5	indeed	indeed	ADV
ejpam-6228	141	6	,	,	PUNCT
ejpam-6228	141	7	quaternion	quaternion	NOUN
ejpam-6228	141	8	mannheim	mannheim	NOUN
ejpam-6228	141	9	weight	weight	NOUN
ejpam-6228	141	10	wqm	wqm	NOUN
ejpam-6228	141	11	is	be	AUX
ejpam-6228	141	12	metric.238	metric.238	NOUN
ejpam-6228	141	13	theorem	theorem	NOUN
ejpam-6228	141	14	3	3	NUM
ejpam-6228	141	15	.	.	PUNCT
ejpam-6228	142	1	[	[	X
ejpam-6228	142	2	7	7	NUM
ejpam-6228	142	3	]	]	PUNCT
ejpam-6228	142	4	,	,	PUNCT
ejpam-6228	142	5	if	if	SCONJ
ejpam-6228	142	6	gcd(a	gcd(a	PROPN
ejpam-6228	142	7	,	,	PUNCT
ejpam-6228	142	8	b	b	NOUN
ejpam-6228	142	9	)	)	PUNCT
ejpam-6228	142	10	=	=	SYM
ejpam-6228	142	11	1	1	NUM
ejpam-6228	142	12	,	,	PUNCT
ejpam-6228	142	13	then239	then239	X
ejpam-6228	142	14	h(k)/⟨a+	h(k)/⟨a+	PROPN
ejpam-6228	142	15	b(i+	b(i+	PROPN
ejpam-6228	142	16	j	j	PROPN
ejpam-6228	142	17	+	+	NUM
ejpam-6228	142	18	k)⟩	k)⟩	PROPN
ejpam-6228	142	19	∼=	∼=	PART
ejpam-6228	142	20	za2	za2	NOUN
ejpam-6228	142	21	+	+	NOUN
ejpam-6228	142	22	3b2	3b2	NUM
ejpam-6228	142	23	.	.	PUNCT
ejpam-6228	143	1	proposition	proposition	NOUN
ejpam-6228	143	2	1	1	NUM
ejpam-6228	143	3	.	.	PUNCT
ejpam-6228	144	1	[	[	X
ejpam-6228	144	2	7	7	NUM
ejpam-6228	144	3	]	]	PUNCT
ejpam-6228	144	4	,	,	PUNCT
ejpam-6228	144	5	let	let	VERB
ejpam-6228	144	6	δk	δk	VERB
ejpam-6228	144	7	=	=	SYM
ejpam-6228	144	8	ak	ak	PROPN
ejpam-6228	144	9	+	+	PROPN
ejpam-6228	144	10	bk(i	bk(i	PUNCT
ejpam-6228	144	11	+	+	CCONJ
ejpam-6228	144	12	j	j	PROPN
ejpam-6228	144	13	+	+	CCONJ
ejpam-6228	144	14	k	k	NOUN
ejpam-6228	144	15	)	)	PUNCT
ejpam-6228	144	16	be	be	VERB
ejpam-6228	144	17	distinct	distinct	ADJ
ejpam-6228	144	18	primes	prime	NOUN
ejpam-6228	144	19	in	in	ADP
ejpam-6228	144	20	h(k	h(k	PROPN
ejpam-6228	144	21	)	)	PUNCT
ejpam-6228	144	22	,	,	PUNCT
ejpam-6228	144	23	and	and	CCONJ
ejpam-6228	144	24	let240	let240	PROPN
ejpam-6228	144	25	pk	pk	PROPN
ejpam-6228	144	26	=	=	NOUN
ejpam-6228	144	27	za2k+3b2k	za2k+3b2k	NOUN
ejpam-6228	144	28	be	be	AUX
ejpam-6228	144	29	distinct	distinct	ADJ
ejpam-6228	144	30	primes	prime	NOUN
ejpam-6228	144	31	in	in	ADP
ejpam-6228	144	32	z	z	PROPN
ejpam-6228	144	33	,	,	PUNCT
ejpam-6228	144	34	for	for	ADP
ejpam-6228	144	35	k	k	PROPN
ejpam-6228	144	36	=	=	SYM
ejpam-6228	144	37	1	1	NUM
ejpam-6228	144	38	,	,	PUNCT
ejpam-6228	144	39	2	2	NUM
ejpam-6228	144	40	,	,	PUNCT
ejpam-6228	144	41	3	3	NUM
ejpam-6228	144	42	,	,	PUNCT
ejpam-6228	144	43	.	.	PUNCT
ejpam-6228	144	44	.	.	PUNCT
ejpam-6228	145	1	.	.	PUNCT
ejpam-6228	146	1	,	,	PUNCT
ejpam-6228	146	2	m.	m.	NOUN
ejpam-6228	146	3	if	if	SCONJ
ejpam-6228	146	4	g	g	PROPN
ejpam-6228	146	5	is	be	AUX
ejpam-6228	146	6	a	a	DET
ejpam-6228	146	7	generator	generator	NOUN
ejpam-6228	146	8	of	of	ADP
ejpam-6228	146	9	h(k)δk	h(k)δk	PROPN
ejpam-6228	146	10	,	,	PUNCT
ejpam-6228	147	1	241	241	NUM
ejpam-6228	147	2	then242	then242	PROPN
ejpam-6228	147	3	g	g	PROPN
ejpam-6228	147	4	φ(pk	φ(pk	PROPN
ejpam-6228	147	5	)	)	PUNCT
ejpam-6228	147	6	2	2	NUM
ejpam-6228	147	7	≡	≡	PROPN
ejpam-6228	147	8	−1	−1	NOUN
ejpam-6228	147	9	mod	mod	PROPN
ejpam-6228	147	10	δk	δk	PROPN
ejpam-6228	147	11	.	.	PROPN
ejpam-6228	147	12	proposition	proposition	NOUN
ejpam-6228	147	13	2	2	NUM
ejpam-6228	147	14	.	.	PUNCT
ejpam-6228	148	1	[	[	X
ejpam-6228	148	2	7	7	NUM
ejpam-6228	148	3	]	]	PUNCT
ejpam-6228	148	4	,	,	PUNCT
ejpam-6228	148	5	let	let	VERB
ejpam-6228	148	6	δ1	δ1	NOUN
ejpam-6228	148	7	=	=	NOUN
ejpam-6228	148	8	a1	a1	PROPN
ejpam-6228	149	1	+	+	CCONJ
ejpam-6228	149	2	b1(i	b1(i	X
ejpam-6228	150	1	+	+	CCONJ
ejpam-6228	150	2	j	j	PROPN
ejpam-6228	150	3	+	+	CCONJ
ejpam-6228	150	4	k	k	NOUN
ejpam-6228	150	5	)	)	PUNCT
ejpam-6228	150	6	be	be	VERB
ejpam-6228	150	7	a	a	DET
ejpam-6228	150	8	prime	prime	NOUN
ejpam-6228	150	9	in	in	ADP
ejpam-6228	150	10	h(k	h(k	PROPN
ejpam-6228	150	11	)	)	PUNCT
ejpam-6228	150	12	,	,	PUNCT
ejpam-6228	150	13	and	and	CCONJ
ejpam-6228	150	14	let	let	VERB
ejpam-6228	150	15	p	p	PRON
ejpam-6228	150	16	∈	∈	PROPN
ejpam-6228	151	1	za21	za21	PROPN
ejpam-6228	151	2	+	+	PROPN
ejpam-6228	151	3	3b21	3b21	NUM
ejpam-6228	151	4	243	243	NUM
ejpam-6228	151	5	be	be	AUX
ejpam-6228	151	6	a	a	DET
ejpam-6228	151	7	prime	prime	NOUN
ejpam-6228	151	8	in	in	ADP
ejpam-6228	151	9	z.	z.	PROPN
ejpam-6228	151	10	if	if	SCONJ
ejpam-6228	151	11	h(k)δ	h(k)δ	PROPN
ejpam-6228	151	12	is	be	AUX
ejpam-6228	151	13	generated	generate	VERB
ejpam-6228	151	14	by	by	ADP
ejpam-6228	151	15	g	g	PROPN
ejpam-6228	151	16	,	,	PUNCT
ejpam-6228	151	17	then244	then244	PROPN
ejpam-6228	151	18	α	α	PROPN
ejpam-6228	151	19	φ(p	φ(p	PROPN
ejpam-6228	151	20	)	)	PUNCT
ejpam-6228	152	1	2	2	NUM
ejpam-6228	152	2	≡	≡	PROPN
ejpam-6228	152	3	−1	−1	NOUN
ejpam-6228	152	4	mod	mod	PROPN
ejpam-6228	152	5	δ	δ	PROPN
ejpam-6228	152	6	.	.	PUNCT
ejpam-6228	152	7	corollary	corollary	ADJ
ejpam-6228	152	8	1	1	NUM
ejpam-6228	152	9	.	.	PUNCT
ejpam-6228	153	1	[	[	X
ejpam-6228	153	2	7	7	NUM
ejpam-6228	153	3	]	]	PUNCT
ejpam-6228	153	4	,	,	PUNCT
ejpam-6228	153	5	let	let	VERB
ejpam-6228	153	6	δ	δ	PROPN
ejpam-6228	153	7	=	=	PUNCT
ejpam-6228	153	8	a	a	PRON
ejpam-6228	153	9	+	+	NOUN
ejpam-6228	153	10	b(i	b(i	PROPN
ejpam-6228	154	1	+	+	CCONJ
ejpam-6228	154	2	j	j	PROPN
ejpam-6228	154	3	+	+	CCONJ
ejpam-6228	154	4	k	k	NOUN
ejpam-6228	154	5	)	)	PUNCT
ejpam-6228	154	6	be	be	VERB
ejpam-6228	154	7	a	a	DET
ejpam-6228	154	8	quaternion	quaternion	ADJ
ejpam-6228	154	9	prime	prime	NOUN
ejpam-6228	154	10	in	in	ADP
ejpam-6228	154	11	h(k	h(k	PROPN
ejpam-6228	154	12	)	)	PUNCT
ejpam-6228	154	13	,	,	PUNCT
ejpam-6228	154	14	such	such	ADJ
ejpam-6228	154	15	that	that	SCONJ
ejpam-6228	154	16	the245	the245	PROPN
ejpam-6228	154	17	norm	norm	NOUN
ejpam-6228	154	18	n(δ	n(δ	PROPN
ejpam-6228	154	19	)	)	PUNCT
ejpam-6228	154	20	=	=	PUNCT
ejpam-6228	155	1	p	p	NOUN
ejpam-6228	155	2	=	=	PROPN
ejpam-6228	155	3	a2	a2	PROPN
ejpam-6228	155	4	+	+	CCONJ
ejpam-6228	155	5	3b2	3b2	NUM
ejpam-6228	155	6	is	be	AUX
ejpam-6228	155	7	a	a	DET
ejpam-6228	155	8	prime	prime	NOUN
ejpam-6228	155	9	in	in	ADP
ejpam-6228	155	10	z.	z.	PROPN
ejpam-6228	155	11	if	if	SCONJ
ejpam-6228	155	12	h(k)δ	h(k)δ	PROPN
ejpam-6228	155	13	is	be	AUX
ejpam-6228	155	14	generated	generate	VERB
ejpam-6228	155	15	by	by	ADP
ejpam-6228	155	16	α	α	PROPN
ejpam-6228	155	17	,	,	PUNCT
ejpam-6228	155	18	then246	then246	PROPN
ejpam-6228	155	19	αφ(p	αφ(p	NUM
ejpam-6228	155	20	)	)	PUNCT
ejpam-6228	155	21	≡	≡	PROPN
ejpam-6228	155	22	1	1	NUM
ejpam-6228	155	23	mod	mod	PROPN
ejpam-6228	155	24	δ	δ	PROPN
ejpam-6228	155	25	.	.	PUNCT
ejpam-6228	155	26	remark	remark	PROPN
ejpam-6228	155	27	2	2	NUM
ejpam-6228	155	28	.	.	PUNCT
ejpam-6228	156	1	the	the	DET
ejpam-6228	156	2	group	group	NOUN
ejpam-6228	156	3	generated	generate	VERB
ejpam-6228	156	4	by	by	ADP
ejpam-6228	156	5	⟨α⟩	⟨α⟩	PROPN
ejpam-6228	156	6	in	in	ADP
ejpam-6228	156	7	the	the	DET
ejpam-6228	156	8	above	above	ADJ
ejpam-6228	156	9	corollary	corollary	NOUN
ejpam-6228	156	10	is	be	AUX
ejpam-6228	156	11	denoted	denote	VERB
ejpam-6228	156	12	by	by	ADP
ejpam-6228	156	13	qr.247	qr.247	PROPN
ejpam-6228	156	14	3	3	NUM
ejpam-6228	156	15	.	.	PUNCT
ejpam-6228	156	16	quaternion	quaternion	NOUN
ejpam-6228	156	17	integers	integer	NOUN
ejpam-6228	156	18	based	base	VERB
ejpam-6228	156	19	n×	n×	PROPN
ejpam-6228	156	20	n	n	CCONJ
ejpam-6228	156	21	s	s	NOUN
ejpam-6228	156	22	-	-	PUNCT
ejpam-6228	156	23	boxes248	boxes248	PROPN
ejpam-6228	156	24	substitution	substitution	NOUN
ejpam-6228	156	25	boxes	box	NOUN
ejpam-6228	156	26	(	(	PUNCT
ejpam-6228	156	27	s	s	NOUN
ejpam-6228	156	28	-	-	PUNCT
ejpam-6228	156	29	boxes	box	NOUN
ejpam-6228	156	30	)	)	PUNCT
ejpam-6228	156	31	are	be	AUX
ejpam-6228	156	32	essential	essential	ADJ
ejpam-6228	156	33	components	component	NOUN
ejpam-6228	156	34	used	use	VERB
ejpam-6228	156	35	in	in	ADP
ejpam-6228	156	36	modern	modern	ADJ
ejpam-6228	156	37	cryptography,249	cryptography,249	NOUN
ejpam-6228	156	38	introducing	introduce	VERB
ejpam-6228	156	39	confusion	confusion	NOUN
ejpam-6228	156	40	in	in	ADP
ejpam-6228	156	41	encryption	encryption	NOUN
ejpam-6228	156	42	algorithms	algorithm	NOUN
ejpam-6228	156	43	to	to	PART
ejpam-6228	156	44	enhance	enhance	VERB
ejpam-6228	156	45	their	their	PRON
ejpam-6228	156	46	security	security	NOUN
ejpam-6228	156	47	.	.	PUNCT
ejpam-6228	157	1	traditionally,250	traditionally,250	VERB
ejpam-6228	157	2	s	s	NOUN
ejpam-6228	157	3	-	-	PUNCT
ejpam-6228	157	4	boxes	box	NOUN
ejpam-6228	157	5	are	be	AUX
ejpam-6228	157	6	constructed	construct	VERB
ejpam-6228	157	7	using	use	VERB
ejpam-6228	157	8	finite	finite	ADJ
ejpam-6228	157	9	fields	field	NOUN
ejpam-6228	157	10	.	.	PUNCT
ejpam-6228	158	1	however	however	ADV
ejpam-6228	158	2	,	,	PUNCT
ejpam-6228	158	3	recent	recent	ADJ
ejpam-6228	158	4	studies	study	NOUN
ejpam-6228	158	5	reveal	reveal	VERB
ejpam-6228	158	6	the	the	DET
ejpam-6228	158	7	potential251	potential251	PROPN
ejpam-6228	158	8	of	of	ADP
ejpam-6228	158	9	quaternion	quaternion	NOUN
ejpam-6228	158	10	integers	integer	NOUN
ejpam-6228	158	11	to	to	PART
ejpam-6228	158	12	design	design	VERB
ejpam-6228	158	13	highly	highly	ADV
ejpam-6228	158	14	nonlinear	nonlinear	ADJ
ejpam-6228	158	15	and	and	CCONJ
ejpam-6228	158	16	cryptographically	cryptographically	ADV
ejpam-6228	158	17	resilient	resilient	ADJ
ejpam-6228	158	18	s	s	NOUN
ejpam-6228	158	19	-	-	NOUN
ejpam-6228	158	20	boxes.252	boxes.252	NOUN
ejpam-6228	158	21	quaternions	quaternion	NOUN
ejpam-6228	158	22	,	,	PUNCT
ejpam-6228	158	23	which	which	PRON
ejpam-6228	158	24	generalize	generalize	VERB
ejpam-6228	158	25	complex	complex	ADJ
ejpam-6228	158	26	numbers	number	NOUN
ejpam-6228	158	27	into	into	ADP
ejpam-6228	158	28	a	a	DET
ejpam-6228	158	29	four	four	NUM
ejpam-6228	158	30	-	-	PUNCT
ejpam-6228	158	31	dimensional	dimensional	ADJ
ejpam-6228	158	32	non	non	ADJ
ejpam-6228	158	33	-	-	ADJ
ejpam-6228	158	34	commutative253	commutative253	ADJ
ejpam-6228	158	35	algebra	algebra	NOUN
ejpam-6228	158	36	,	,	PUNCT
ejpam-6228	158	37	provide	provide	VERB
ejpam-6228	158	38	unique	unique	ADJ
ejpam-6228	158	39	mathematical	mathematical	ADJ
ejpam-6228	158	40	properties	property	NOUN
ejpam-6228	158	41	that	that	PRON
ejpam-6228	158	42	offer	offer	VERB
ejpam-6228	158	43	increased	increase	VERB
ejpam-6228	158	44	resistance	resistance	NOUN
ejpam-6228	158	45	to	to	ADP
ejpam-6228	158	46	crypt-254	crypt-254	NOUN
ejpam-6228	158	47	analytic	analytic	ADJ
ejpam-6228	158	48	attacks	attack	NOUN
ejpam-6228	158	49	.	.	PUNCT
ejpam-6228	159	1	in	in	ADP
ejpam-6228	159	2	the	the	DET
ejpam-6228	159	3	proposed	propose	VERB
ejpam-6228	159	4	method	method	NOUN
ejpam-6228	159	5	,	,	PUNCT
ejpam-6228	159	6	the	the	DET
ejpam-6228	159	7	s	s	NOUN
ejpam-6228	159	8	-	-	PUNCT
ejpam-6228	159	9	box	box	NOUN
ejpam-6228	159	10	is	be	AUX
ejpam-6228	159	11	defined	define	VERB
ejpam-6228	159	12	as	as	ADP
ejpam-6228	159	13	a	a	DET
ejpam-6228	159	14	k	k	PROPN
ejpam-6228	159	15	×	×	PROPN
ejpam-6228	159	16	k	k	PROPN
ejpam-6228	159	17	matrix	matrix	NOUN
ejpam-6228	159	18	of255	of255	PROPN
ejpam-6228	159	19	quaternion	quaternion	NOUN
ejpam-6228	159	20	integers	integer	NOUN
ejpam-6228	159	21	.	.	PUNCT
ejpam-6228	160	1	the	the	DET
ejpam-6228	160	2	quaternion	quaternion	ADJ
ejpam-6228	160	3	algebraic	algebraic	ADJ
ejpam-6228	160	4	structure	structure	NOUN
ejpam-6228	160	5	is	be	AUX
ejpam-6228	160	6	then	then	ADV
ejpam-6228	160	7	employed	employ	VERB
ejpam-6228	160	8	to	to	ADP
ejpam-6228	160	9	construct256	construct256	PROPN
ejpam-6228	160	10	n	n	CCONJ
ejpam-6228	160	11	×	×	VERB
ejpam-6228	160	12	n	n	CCONJ
ejpam-6228	160	13	(	(	PUNCT
ejpam-6228	160	14	n	n	CCONJ
ejpam-6228	160	15	≤	≤	NUM
ejpam-6228	160	16	k	k	NOUN
ejpam-6228	160	17	)	)	PUNCT
ejpam-6228	160	18	s	s	NOUN
ejpam-6228	160	19	-	-	NOUN
ejpam-6228	160	20	boxes	box	NOUN
ejpam-6228	160	21	with	with	ADP
ejpam-6228	160	22	desirable	desirable	ADJ
ejpam-6228	160	23	cryptographic	cryptographic	ADJ
ejpam-6228	160	24	properties	property	NOUN
ejpam-6228	160	25	such	such	ADJ
ejpam-6228	160	26	as	as	ADP
ejpam-6228	160	27	high	high	ADJ
ejpam-6228	160	28	nonlinearity257	nonlinearity257	NOUN
ejpam-6228	160	29	and	and	CCONJ
ejpam-6228	160	30	low	low	ADJ
ejpam-6228	160	31	differential	differential	ADJ
ejpam-6228	160	32	uniformity	uniformity	NOUN
ejpam-6228	160	33	.	.	PUNCT
ejpam-6228	161	1	quaternion	quaternion	NOUN
ejpam-6228	161	2	integer	integer	NOUN
ejpam-6228	161	3	elements	element	NOUN
ejpam-6228	161	4	are	be	AUX
ejpam-6228	161	5	systematically	systematically	ADV
ejpam-6228	161	6	selected258	selected258	PROPN
ejpam-6228	161	7	and	and	CCONJ
ejpam-6228	161	8	integrated	integrate	VERB
ejpam-6228	161	9	into	into	ADP
ejpam-6228	161	10	a	a	DET
ejpam-6228	161	11	secure	secure	ADJ
ejpam-6228	161	12	substitution	substitution	NOUN
ejpam-6228	161	13	layer	layer	NOUN
ejpam-6228	161	14	with	with	ADP
ejpam-6228	161	15	strong	strong	ADJ
ejpam-6228	161	16	security	security	NOUN
ejpam-6228	161	17	and	and	CCONJ
ejpam-6228	161	18	sound	sound	NOUN
ejpam-6228	161	19	efficiency.259	efficiency.259	NOUN
ejpam-6228	161	20	the	the	DET
ejpam-6228	161	21	construction	construction	NOUN
ejpam-6228	161	22	utilizes	utilize	VERB
ejpam-6228	161	23	an	an	DET
ejpam-6228	161	24	optimization	optimization	NOUN
ejpam-6228	161	25	algorithm	algorithm	NOUN
ejpam-6228	161	26	to	to	PART
ejpam-6228	161	27	enhance	enhance	VERB
ejpam-6228	161	28	cryptographic	cryptographic	ADJ
ejpam-6228	161	29	strength.260	strength.260	NOUN
ejpam-6228	161	30	s	s	PROPN
ejpam-6228	161	31	-	-	PUNCT
ejpam-6228	161	32	box	box	NOUN
ejpam-6228	161	33	construction	construction	NOUN
ejpam-6228	161	34	steps:261	steps:261	DET
ejpam-6228	161	35	m.	m.	NOUN
ejpam-6228	161	36	sajjad	sajjad	PROPN
ejpam-6228	161	37	,	,	PUNCT
ejpam-6228	161	38	n.	n.	PROPN
ejpam-6228	161	39	a.	a.	NOUN
ejpam-6228	161	40	alqwaifly	alqwaifly	PROPN
ejpam-6228	161	41	/	/	SYM
ejpam-6228	161	42	eur	eur	PROPN
ejpam-6228	161	43	.	.	PUNCT
ejpam-6228	162	1	j.	j.	PROPN
ejpam-6228	162	2	pure	pure	PROPN
ejpam-6228	162	3	appl	appl	PROPN
ejpam-6228	162	4	.	.	PROPN
ejpam-6228	162	5	math	math	PROPN
ejpam-6228	162	6	,	,	PUNCT
ejpam-6228	162	7	18	18	NUM
ejpam-6228	162	8	(	(	PUNCT
ejpam-6228	162	9	2	2	NUM
ejpam-6228	162	10	)	)	PUNCT
ejpam-6228	162	11	(	(	PUNCT
ejpam-6228	162	12	2025	2025	NUM
ejpam-6228	162	13	)	)	PUNCT
ejpam-6228	162	14	,	,	PUNCT
ejpam-6228	162	15	6228	6228	NUM
ejpam-6228	162	16	9	9	NUM
ejpam-6228	162	17	of	of	ADP
ejpam-6228	162	18	35	35	NUM
ejpam-6228	162	19	(	(	PUNCT
ejpam-6228	162	20	i	i	NOUN
ejpam-6228	162	21	)	)	PUNCT
ejpam-6228	162	22	based	base	VERB
ejpam-6228	162	23	on	on	ADP
ejpam-6228	162	24	definitions	definition	NOUN
ejpam-6228	162	25	and	and	CCONJ
ejpam-6228	162	26	theorems	theorem	NOUN
ejpam-6228	162	27	in	in	ADP
ejpam-6228	162	28	section	section	PROPN
ejpam-6228	162	29	ii	ii	PROPN
ejpam-6228	162	30	,	,	PUNCT
ejpam-6228	162	31	a	a	DET
ejpam-6228	162	32	quaternion	quaternion	NOUN
ejpam-6228	162	33	integer	integer	NOUN
ejpam-6228	162	34	-	-	PUNCT
ejpam-6228	162	35	based	base	VERB
ejpam-6228	162	36	cyclic262	cyclic262	PROPN
ejpam-6228	162	37	group	group	NOUN
ejpam-6228	162	38	,	,	PUNCT
ejpam-6228	162	39	denoted	denote	VERB
ejpam-6228	162	40	as	as	ADP
ejpam-6228	162	41	qr	qr	PROPN
ejpam-6228	162	42	,	,	PUNCT
ejpam-6228	162	43	is	be	AUX
ejpam-6228	162	44	defined	define	VERB
ejpam-6228	162	45	.	.	PUNCT
ejpam-6228	163	1	this	this	DET
ejpam-6228	163	2	group	group	NOUN
ejpam-6228	163	3	is	be	AUX
ejpam-6228	163	4	structured	structure	VERB
ejpam-6228	163	5	to	to	PART
ejpam-6228	163	6	have	have	VERB
ejpam-6228	163	7	an	an	DET
ejpam-6228	163	8	order	order	NOUN
ejpam-6228	163	9	of	of	ADP
ejpam-6228	163	10	p−1.263	p−1.263	PROPN
ejpam-6228	163	11	(	(	PUNCT
ejpam-6228	163	12	ii	ii	PROPN
ejpam-6228	163	13	)	)	PUNCT
ejpam-6228	163	14	the	the	DET
ejpam-6228	163	15	group	group	NOUN
ejpam-6228	163	16	qr	qr	PROPN
ejpam-6228	163	17	is	be	AUX
ejpam-6228	163	18	subjected	subject	VERB
ejpam-6228	163	19	to	to	ADP
ejpam-6228	163	20	the	the	DET
ejpam-6228	163	21	following	follow	VERB
ejpam-6228	163	22	transformation	transformation	NOUN
ejpam-6228	163	23	and	and	CCONJ
ejpam-6228	163	24	mapped	map	VERB
ejpam-6228	163	25	to	to	ADP
ejpam-6228	163	26	another264	another264	PROPN
ejpam-6228	163	27	quaternion	quaternion	NOUN
ejpam-6228	163	28	group	group	NOUN
ejpam-6228	163	29	using	use	VERB
ejpam-6228	163	30	a	a	DET
ejpam-6228	163	31	transformation	transformation	NOUN
ejpam-6228	163	32	function:265	function:265	X
ejpam-6228	163	33	g(xi	g(xi	X
ejpam-6228	163	34	)	)	PUNCT
ejpam-6228	164	1	=	=	SYM
ejpam-6228	164	2	1	1	NUM
ejpam-6228	164	3	ax−1	ax−1	VERB
ejpam-6228	164	4	i	i	NOUN
ejpam-6228	165	1	+	+	NUM
ejpam-6228	165	2	b	b	NOUN
ejpam-6228	165	3	,	,	PUNCT
ejpam-6228	166	1	where	where	SCONJ
ejpam-6228	166	2	x−1	x−1	PROPN
ejpam-6228	167	1	i	i	PRON
ejpam-6228	167	2	is	be	AUX
ejpam-6228	167	3	the	the	DET
ejpam-6228	167	4	multiplicative	multiplicative	ADJ
ejpam-6228	167	5	inverse	inverse	NOUN
ejpam-6228	167	6	of	of	ADP
ejpam-6228	167	7	xi	xi	PROPN
ejpam-6228	167	8	in	in	ADP
ejpam-6228	167	9	qr	qr	PROPN
ejpam-6228	167	10	,	,	PUNCT
ejpam-6228	167	11	and	and	CCONJ
ejpam-6228	167	12	a	a	PRON
ejpam-6228	167	13	and	and	CCONJ
ejpam-6228	167	14	b	b	NOUN
ejpam-6228	167	15	are	be	AUX
ejpam-6228	167	16	quaternion266	quaternion266	VERB
ejpam-6228	167	17	integers	integer	NOUN
ejpam-6228	167	18	.	.	PUNCT
ejpam-6228	168	1	the	the	DET
ejpam-6228	168	2	expression	expression	NOUN
ejpam-6228	168	3	ax−1	ax−1	NOUN
ejpam-6228	168	4	i	i	PRON
ejpam-6228	169	1	+	+	NOUN
ejpam-6228	169	2	b	b	NOUN
ejpam-6228	169	3	must	must	AUX
ejpam-6228	169	4	be	be	AUX
ejpam-6228	169	5	a	a	DET
ejpam-6228	169	6	non	non	ADJ
ejpam-6228	169	7	-	-	ADJ
ejpam-6228	169	8	zero	zero	NUM
ejpam-6228	169	9	part	part	NOUN
ejpam-6228	169	10	of	of	ADP
ejpam-6228	169	11	the	the	DET
ejpam-6228	169	12	quaternion	quaternion	NOUN
ejpam-6228	169	13	residue267	residue267	PROPN
ejpam-6228	169	14	class.268	class.268	PROPN
ejpam-6228	169	15	(	(	PUNCT
ejpam-6228	169	16	iii	iii	NOUN
ejpam-6228	169	17	)	)	PUNCT
ejpam-6228	169	18	the	the	DET
ejpam-6228	169	19	scalar	scalar	ADJ
ejpam-6228	169	20	and	and	CCONJ
ejpam-6228	169	21	vector	vector	NOUN
ejpam-6228	169	22	parts	part	NOUN
ejpam-6228	169	23	of	of	ADP
ejpam-6228	169	24	the	the	DET
ejpam-6228	169	25	resulting	result	VERB
ejpam-6228	169	26	quaternion	quaternion	NOUN
ejpam-6228	169	27	elements	element	NOUN
ejpam-6228	169	28	are	be	AUX
ejpam-6228	169	29	separated	separate	VERB
ejpam-6228	169	30	to269	to269	ADJ
ejpam-6228	169	31	form	form	NOUN
ejpam-6228	169	32	the	the	DET
ejpam-6228	169	33	output	output	NOUN
ejpam-6228	169	34	of	of	ADP
ejpam-6228	169	35	the	the	DET
ejpam-6228	169	36	mapping	mapping	NOUN
ejpam-6228	169	37	function	function	NOUN
ejpam-6228	169	38	.	.	PUNCT
ejpam-6228	170	1	these	these	DET
ejpam-6228	170	2	components	component	NOUN
ejpam-6228	170	3	are	be	AUX
ejpam-6228	170	4	processed	process	VERB
ejpam-6228	170	5	indepen-270	indepen-270	NOUN
ejpam-6228	170	6	dently	dently	ADV
ejpam-6228	170	7	in	in	ADP
ejpam-6228	170	8	the	the	DET
ejpam-6228	170	9	following	follow	VERB
ejpam-6228	170	10	steps.271	steps.271	NOUN
ejpam-6228	170	11	(	(	PUNCT
ejpam-6228	170	12	iv	iv	X
ejpam-6228	170	13	)	)	PUNCT
ejpam-6228	170	14	apply	apply	VERB
ejpam-6228	170	15	modular	modular	ADJ
ejpam-6228	170	16	reduction	reduction	NOUN
ejpam-6228	170	17	modulo	modulo	NOUN
ejpam-6228	170	18	2n	2n	NUM
ejpam-6228	170	19	to	to	ADP
ejpam-6228	170	20	each	each	DET
ejpam-6228	170	21	component	component	NOUN
ejpam-6228	170	22	(	(	PUNCT
ejpam-6228	170	23	scalar	scalar	ADJ
ejpam-6228	170	24	and	and	CCONJ
ejpam-6228	170	25	vector	vector	NOUN
ejpam-6228	170	26	)	)	PUNCT
ejpam-6228	170	27	,	,	PUNCT
ejpam-6228	170	28	pro-272	pro-272	VERB
ejpam-6228	170	29	ducing	duce	VERB
ejpam-6228	170	30	two	two	NUM
ejpam-6228	170	31	separate	separate	ADJ
ejpam-6228	170	32	sets	set	NOUN
ejpam-6228	170	33	of	of	ADP
ejpam-6228	170	34	order	order	NOUN
ejpam-6228	170	35	2n	2n	NUM
ejpam-6228	170	36	,	,	PUNCT
ejpam-6228	170	37	denoted	denote	VERB
ejpam-6228	170	38	as	as	ADP
ejpam-6228	170	39	qr1	qr1	NOUN
ejpam-6228	170	40	and	and	CCONJ
ejpam-6228	170	41	qr2	qr2	PROPN
ejpam-6228	170	42	.273	.273	NUM
ejpam-6228	170	43	(	(	PUNCT
ejpam-6228	170	44	v	v	NOUN
ejpam-6228	170	45	)	)	PUNCT
ejpam-6228	170	46	another	another	DET
ejpam-6228	170	47	transformation	transformation	NOUN
ejpam-6228	170	48	is	be	AUX
ejpam-6228	170	49	applied	apply	VERB
ejpam-6228	170	50	to	to	ADP
ejpam-6228	170	51	both	both	DET
ejpam-6228	170	52	sets	set	NOUN
ejpam-6228	170	53	qr1	qr1	VERB
ejpam-6228	171	1	and	and	CCONJ
ejpam-6228	171	2	qr2	qr2	PROPN
ejpam-6228	171	3	using	use	VERB
ejpam-6228	171	4	the	the	DET
ejpam-6228	171	5	function:274	function:274	NOUN
ejpam-6228	171	6	h(xi	h(xi	NOUN
ejpam-6228	171	7	)	)	PUNCT
ejpam-6228	172	1	=	=	PRON
ejpam-6228	172	2	(	(	PUNCT
ejpam-6228	172	3	cxi	cxi	PROPN
ejpam-6228	172	4	+	+	X
ejpam-6228	172	5	d	d	NOUN
ejpam-6228	172	6	)	)	PUNCT
ejpam-6228	172	7	mod	mod	PROPN
ejpam-6228	172	8	2n	2n	NUM
ejpam-6228	172	9	,	,	PUNCT
ejpam-6228	172	10	where	where	SCONJ
ejpam-6228	172	11	c	c	NOUN
ejpam-6228	172	12	and	and	CCONJ
ejpam-6228	172	13	d	d	PROPN
ejpam-6228	172	14	are	be	AUX
ejpam-6228	172	15	constants	constant	NOUN
ejpam-6228	172	16	carefully	carefully	ADV
ejpam-6228	172	17	selected	select	VERB
ejpam-6228	172	18	to	to	PART
ejpam-6228	172	19	ensure	ensure	VERB
ejpam-6228	172	20	the	the	DET
ejpam-6228	172	21	cryptographic	cryptographic	ADJ
ejpam-6228	172	22	properties275	properties275	PROPN
ejpam-6228	172	23	such	such	ADJ
ejpam-6228	172	24	as	as	ADP
ejpam-6228	172	25	high	high	ADJ
ejpam-6228	172	26	nonlinearity	nonlinearity	NOUN
ejpam-6228	172	27	and	and	CCONJ
ejpam-6228	172	28	low	low	ADJ
ejpam-6228	172	29	differential	differential	NOUN
ejpam-6228	172	30	uniformity	uniformity	NOUN
ejpam-6228	172	31	are	be	AUX
ejpam-6228	172	32	met.276	met.276	ADJ
ejpam-6228	172	33	(	(	PUNCT
ejpam-6228	172	34	vi	vi	NOUN
ejpam-6228	172	35	)	)	PUNCT
ejpam-6228	172	36	a	a	DET
ejpam-6228	172	37	secure	secure	ADJ
ejpam-6228	172	38	encryption	encryption	NOUN
ejpam-6228	172	39	process	process	NOUN
ejpam-6228	172	40	is	be	AUX
ejpam-6228	172	41	then	then	ADV
ejpam-6228	172	42	performed	perform	VERB
ejpam-6228	172	43	to	to	PART
ejpam-6228	172	44	generate	generate	VERB
ejpam-6228	172	45	a	a	DET
ejpam-6228	172	46	pair	pair	NOUN
ejpam-6228	172	47	of	of	ADP
ejpam-6228	172	48	s	s	NOUN
ejpam-6228	172	49	-	-	NOUN
ejpam-6228	172	50	boxes	box	NOUN
ejpam-6228	172	51	,	,	PUNCT
ejpam-6228	172	52	denoted277	denoted277	PROPN
ejpam-6228	172	53	ss	ss	PROPN
ejpam-6228	172	54	and	and	CCONJ
ejpam-6228	172	55	sv	sv	PROPN
ejpam-6228	172	56	,	,	PUNCT
ejpam-6228	172	57	using	use	VERB
ejpam-6228	172	58	quaternion	quaternion	NOUN
ejpam-6228	172	59	operations	operation	NOUN
ejpam-6228	172	60	.	.	PUNCT
ejpam-6228	173	1	these	these	DET
ejpam-6228	173	2	s	s	NOUN
ejpam-6228	173	3	-	-	PUNCT
ejpam-6228	173	4	boxes	box	NOUN
ejpam-6228	173	5	serve	serve	VERB
ejpam-6228	173	6	as	as	ADP
ejpam-6228	173	7	the	the	DET
ejpam-6228	173	8	core	core	NOUN
ejpam-6228	173	9	nonlinear278	nonlinear278	PROPN
ejpam-6228	173	10	components	component	NOUN
ejpam-6228	173	11	in	in	ADP
ejpam-6228	173	12	cryptographic	cryptographic	ADJ
ejpam-6228	173	13	systems	system	NOUN
ejpam-6228	173	14	to	to	PART
ejpam-6228	173	15	resist	resist	VERB
ejpam-6228	173	16	various	various	ADJ
ejpam-6228	173	17	attacks.279	attacks.279	ADP
ejpam-6228	173	18	significance	significance	NOUN
ejpam-6228	173	19	of	of	ADP
ejpam-6228	173	20	quaternion	quaternion	NOUN
ejpam-6228	173	21	-	-	PUNCT
ejpam-6228	173	22	based	base	VERB
ejpam-6228	173	23	s	s	NOUN
ejpam-6228	173	24	-	-	PUNCT
ejpam-6228	173	25	boxes	box	NOUN
ejpam-6228	173	26	:	:	PUNCT
ejpam-6228	173	27	the	the	DET
ejpam-6228	173	28	use	use	NOUN
ejpam-6228	173	29	of	of	ADP
ejpam-6228	173	30	quaternion	quaternion	NOUN
ejpam-6228	173	31	integers	integer	NOUN
ejpam-6228	173	32	in	in	ADP
ejpam-6228	173	33	the280	the280	ADJ
ejpam-6228	173	34	construction	construction	NOUN
ejpam-6228	173	35	of	of	ADP
ejpam-6228	173	36	s	s	NOUN
ejpam-6228	173	37	-	-	PUNCT
ejpam-6228	173	38	boxes	box	NOUN
ejpam-6228	173	39	provides	provide	VERB
ejpam-6228	173	40	several	several	ADJ
ejpam-6228	173	41	advantages	advantage	NOUN
ejpam-6228	173	42	that	that	PRON
ejpam-6228	173	43	can	can	AUX
ejpam-6228	173	44	enhance	enhance	VERB
ejpam-6228	173	45	both	both	DET
ejpam-6228	173	46	the	the	DET
ejpam-6228	173	47	security281	security281	PROPN
ejpam-6228	173	48	and	and	CCONJ
ejpam-6228	173	49	efficiency	efficiency	NOUN
ejpam-6228	173	50	of	of	ADP
ejpam-6228	173	51	the	the	DET
ejpam-6228	173	52	substitution	substitution	NOUN
ejpam-6228	173	53	layers	layer	NOUN
ejpam-6228	173	54	in	in	ADP
ejpam-6228	173	55	block	block	NOUN
ejpam-6228	173	56	ciphers	cipher	NOUN
ejpam-6228	173	57	.	.	PUNCT
ejpam-6228	174	1	unlike	unlike	ADP
ejpam-6228	174	2	traditional	traditional	ADJ
ejpam-6228	174	3	finite	finite	PROPN
ejpam-6228	174	4	field-282	field-282	NOUN
ejpam-6228	174	5	based	base	VERB
ejpam-6228	174	6	s	s	NOUN
ejpam-6228	174	7	-	-	PUNCT
ejpam-6228	174	8	boxes	box	NOUN
ejpam-6228	174	9	,	,	PUNCT
ejpam-6228	174	10	quaternion	quaternion	NOUN
ejpam-6228	174	11	-	-	PUNCT
ejpam-6228	174	12	based	base	VERB
ejpam-6228	174	13	s	s	NOUN
ejpam-6228	174	14	-	-	PUNCT
ejpam-6228	174	15	boxes	box	NOUN
ejpam-6228	174	16	leverage	leverage	NOUN
ejpam-6228	174	17	the	the	DET
ejpam-6228	174	18	non	non	ADJ
ejpam-6228	174	19	-	-	ADJ
ejpam-6228	174	20	commutative	commutative	ADJ
ejpam-6228	174	21	algebraic	algebraic	ADJ
ejpam-6228	174	22	structure283	structure283	PROPN
ejpam-6228	174	23	of	of	ADP
ejpam-6228	174	24	quaternions	quaternion	NOUN
ejpam-6228	174	25	to	to	PART
ejpam-6228	174	26	introduce	introduce	VERB
ejpam-6228	174	27	increased	increase	VERB
ejpam-6228	174	28	complexity	complexity	NOUN
ejpam-6228	174	29	and	and	CCONJ
ejpam-6228	174	30	resilience	resilience	NOUN
ejpam-6228	174	31	to	to	ADP
ejpam-6228	174	32	attacks	attack	NOUN
ejpam-6228	174	33	.	.	PUNCT
ejpam-6228	175	1	due	due	ADP
ejpam-6228	175	2	to	to	ADP
ejpam-6228	175	3	their284	their284	PROPN
ejpam-6228	175	4	four	four	NUM
ejpam-6228	175	5	-	-	PUNCT
ejpam-6228	175	6	dimensional	dimensional	ADJ
ejpam-6228	175	7	nature	nature	NOUN
ejpam-6228	175	8	,	,	PUNCT
ejpam-6228	175	9	quaternions	quaternion	NOUN
ejpam-6228	175	10	offer	offer	VERB
ejpam-6228	175	11	a	a	DET
ejpam-6228	175	12	richer	rich	ADJ
ejpam-6228	175	13	mathematical	mathematical	ADJ
ejpam-6228	175	14	framework	framework	NOUN
ejpam-6228	175	15	,	,	PUNCT
ejpam-6228	175	16	improving285	improving285	PROPN
ejpam-6228	175	17	nonlinearity	nonlinearity	NOUN
ejpam-6228	175	18	—	—	PUNCT
ejpam-6228	175	19	a	a	DET
ejpam-6228	175	20	critical	critical	ADJ
ejpam-6228	175	21	attribute	attribute	NOUN
ejpam-6228	175	22	against	against	ADP
ejpam-6228	175	23	differential	differential	NOUN
ejpam-6228	175	24	and	and	CCONJ
ejpam-6228	175	25	linear	linear	ADJ
ejpam-6228	175	26	cryptanalysis	cryptanalysis	NOUN
ejpam-6228	175	27	.	.	PUNCT
ejpam-6228	176	1	quater-286	quater-286	ADJ
ejpam-6228	176	2	nion	nion	ADJ
ejpam-6228	176	3	integer	integer	NOUN
ejpam-6228	176	4	-	-	PUNCT
ejpam-6228	176	5	based	base	VERB
ejpam-6228	176	6	s	s	NOUN
ejpam-6228	176	7	-	-	PUNCT
ejpam-6228	176	8	boxes	box	NOUN
ejpam-6228	176	9	exhibit	exhibit	VERB
ejpam-6228	176	10	a	a	DET
ejpam-6228	176	11	strong	strong	ADJ
ejpam-6228	176	12	avalanche	avalanche	NOUN
ejpam-6228	176	13	effect	effect	NOUN
ejpam-6228	176	14	,	,	PUNCT
ejpam-6228	176	15	whereby	whereby	SCONJ
ejpam-6228	176	16	small	small	ADJ
ejpam-6228	176	17	changes	change	NOUN
ejpam-6228	176	18	in287	in287	ADJ
ejpam-6228	176	19	input	input	NOUN
ejpam-6228	176	20	cause	cause	VERB
ejpam-6228	176	21	substantial	substantial	ADJ
ejpam-6228	176	22	changes	change	NOUN
ejpam-6228	176	23	in	in	ADP
ejpam-6228	176	24	output	output	NOUN
ejpam-6228	176	25	,	,	PUNCT
ejpam-6228	176	26	thereby	thereby	ADV
ejpam-6228	176	27	enhancing	enhance	VERB
ejpam-6228	176	28	security	security	NOUN
ejpam-6228	176	29	.	.	PUNCT
ejpam-6228	177	1	furthermore	furthermore	ADV
ejpam-6228	177	2	,	,	PUNCT
ejpam-6228	177	3	such288	such288	PROPN
ejpam-6228	177	4	s	s	NOUN
ejpam-6228	177	5	-	-	PUNCT
ejpam-6228	177	6	boxes	box	NOUN
ejpam-6228	177	7	demonstrate	demonstrate	VERB
ejpam-6228	177	8	low	low	ADJ
ejpam-6228	177	9	differential	differential	NOUN
ejpam-6228	177	10	uniformity	uniformity	NOUN
ejpam-6228	177	11	,	,	PUNCT
ejpam-6228	177	12	making	make	VERB
ejpam-6228	177	13	differential	differential	ADJ
ejpam-6228	177	14	attacks	attack	NOUN
ejpam-6228	177	15	ineffective	ineffective	ADJ
ejpam-6228	177	16	,	,	PUNCT
ejpam-6228	177	17	and289	and289	PROPN
ejpam-6228	177	18	maintain	maintain	VERB
ejpam-6228	177	19	bijectivity	bijectivity	NOUN
ejpam-6228	177	20	(	(	PUNCT
ejpam-6228	177	21	one	one	NUM
ejpam-6228	177	22	-	-	PUNCT
ejpam-6228	177	23	to	to	ADP
ejpam-6228	177	24	-	-	PUNCT
ejpam-6228	177	25	one	one	NUM
ejpam-6228	177	26	mapping	mapping	NOUN
ejpam-6228	177	27	)	)	PUNCT
ejpam-6228	177	28	,	,	PUNCT
ejpam-6228	177	29	which	which	PRON
ejpam-6228	177	30	is	be	AUX
ejpam-6228	177	31	essential	essential	ADJ
ejpam-6228	177	32	for	for	ADP
ejpam-6228	177	33	secure	secure	ADJ
ejpam-6228	177	34	substitution	substitution	NOUN
ejpam-6228	177	35	.	.	PUNCT
ejpam-6228	178	1	more-290	more-290	PROPN
ejpam-6228	178	2	over	over	ADV
ejpam-6228	178	3	,	,	PUNCT
ejpam-6228	178	4	these	these	DET
ejpam-6228	178	5	s	s	NOUN
ejpam-6228	178	6	-	-	PUNCT
ejpam-6228	178	7	boxes	box	NOUN
ejpam-6228	178	8	are	be	AUX
ejpam-6228	178	9	efficient	efficient	ADJ
ejpam-6228	178	10	and	and	CCONJ
ejpam-6228	178	11	scalable	scalable	ADJ
ejpam-6228	178	12	,	,	PUNCT
ejpam-6228	178	13	making	make	VERB
ejpam-6228	178	14	them	they	PRON
ejpam-6228	178	15	ideal	ideal	ADJ
ejpam-6228	178	16	for	for	ADP
ejpam-6228	178	17	modern	modern	ADJ
ejpam-6228	178	18	cryptographic291	cryptographic291	PROPN
ejpam-6228	178	19	applications	application	NOUN
ejpam-6228	178	20	,	,	PUNCT
ejpam-6228	178	21	including	include	VERB
ejpam-6228	178	22	lightweight	lightweight	ADJ
ejpam-6228	178	23	encryption	encryption	NOUN
ejpam-6228	178	24	schemes	scheme	NOUN
ejpam-6228	178	25	for	for	ADP
ejpam-6228	178	26	resource	resource	NOUN
ejpam-6228	178	27	-	-	PUNCT
ejpam-6228	178	28	constrained	constrain	VERB
ejpam-6228	178	29	environ-292	environ-292	ADJ
ejpam-6228	178	30	ments	ment	NOUN
ejpam-6228	178	31	such	such	ADJ
ejpam-6228	178	32	as	as	ADP
ejpam-6228	178	33	iot	iot	PROPN
ejpam-6228	178	34	devices	device	NOUN
ejpam-6228	178	35	and	and	CCONJ
ejpam-6228	178	36	embedded	embed	VERB
ejpam-6228	178	37	systems	system	NOUN
ejpam-6228	178	38	.	.	PUNCT
ejpam-6228	179	1	consequently	consequently	ADV
ejpam-6228	179	2	,	,	PUNCT
ejpam-6228	179	3	quaternion	quaternion	ADJ
ejpam-6228	179	4	integer	integer	NOUN
ejpam-6228	179	5	-	-	PUNCT
ejpam-6228	179	6	based293	based293	NOUN
ejpam-6228	179	7	s	s	NOUN
ejpam-6228	179	8	-	-	PUNCT
ejpam-6228	179	9	boxes	box	NOUN
ejpam-6228	179	10	emerge	emerge	VERB
ejpam-6228	179	11	as	as	ADV
ejpam-6228	179	12	robust	robust	ADJ
ejpam-6228	179	13	and	and	CCONJ
ejpam-6228	179	14	promising	promising	ADJ
ejpam-6228	179	15	alternatives	alternative	NOUN
ejpam-6228	179	16	to	to	ADP
ejpam-6228	179	17	traditional	traditional	ADJ
ejpam-6228	179	18	designs	design	NOUN
ejpam-6228	179	19	,	,	PUNCT
ejpam-6228	179	20	offering	offer	VERB
ejpam-6228	179	21	en-294	en-294	NOUN
ejpam-6228	179	22	hanced	hance	VERB
ejpam-6228	179	23	protection	protection	NOUN
ejpam-6228	179	24	against	against	ADP
ejpam-6228	179	25	emerging	emerge	VERB
ejpam-6228	179	26	cryptographic	cryptographic	ADJ
ejpam-6228	179	27	threats.295	threats.295	NOUN
ejpam-6228	179	28	m.	m.	NOUN
ejpam-6228	179	29	sajjad	sajjad	PROPN
ejpam-6228	179	30	,	,	PUNCT
ejpam-6228	179	31	n.	n.	PROPN
ejpam-6228	179	32	a.	a.	NOUN
ejpam-6228	179	33	alqwaifly	alqwaifly	PROPN
ejpam-6228	179	34	/	/	SYM
ejpam-6228	179	35	eur	eur	PROPN
ejpam-6228	179	36	.	.	PUNCT
ejpam-6228	180	1	j.	j.	PROPN
ejpam-6228	180	2	pure	pure	PROPN
ejpam-6228	180	3	appl	appl	PROPN
ejpam-6228	180	4	.	.	PROPN
ejpam-6228	180	5	math	math	PROPN
ejpam-6228	180	6	,	,	PUNCT
ejpam-6228	180	7	18	18	NUM
ejpam-6228	180	8	(	(	PUNCT
ejpam-6228	180	9	2	2	NUM
ejpam-6228	180	10	)	)	PUNCT
ejpam-6228	180	11	(	(	PUNCT
ejpam-6228	180	12	2025	2025	NUM
ejpam-6228	180	13	)	)	PUNCT
ejpam-6228	180	14	,	,	PUNCT
ejpam-6228	180	15	6228	6228	NUM
ejpam-6228	180	16	10	10	NUM
ejpam-6228	180	17	of	of	ADP
ejpam-6228	180	18	35	35	NUM
ejpam-6228	180	19	4	4	NUM
ejpam-6228	180	20	.	.	PUNCT
ejpam-6228	181	1	8×	8×	NUM
ejpam-6228	181	2	8	8	NUM
ejpam-6228	181	3	s	s	NOUN
ejpam-6228	181	4	-	-	PUNCT
ejpam-6228	181	5	boxes	box	NOUN
ejpam-6228	181	6	over	over	ADP
ejpam-6228	181	7	quaternion	quaternion	NOUN
ejpam-6228	181	8	integers	integer	NOUN
ejpam-6228	181	9	and	and	CCONJ
ejpam-6228	181	10	analysis296	analysis296	AUX
ejpam-6228	181	11	from	from	ADP
ejpam-6228	181	12	quaternion	quaternion	ADJ
ejpam-6228	181	13	algebra	algebra	NOUN
ejpam-6228	181	14	transformations	transformation	NOUN
ejpam-6228	181	15	,	,	PUNCT
ejpam-6228	181	16	it	it	PRON
ejpam-6228	181	17	is	be	AUX
ejpam-6228	181	18	possible	possible	ADJ
ejpam-6228	181	19	to	to	PART
ejpam-6228	181	20	construct	construct	VERB
ejpam-6228	181	21	8×8	8×8	NUM
ejpam-6228	181	22	s	s	NOUN
ejpam-6228	181	23	-	-	PUNCT
ejpam-6228	181	24	boxes	box	NOUN
ejpam-6228	181	25	with297	with297	PROPN
ejpam-6228	181	26	scalar	scalar	ADJ
ejpam-6228	181	27	and	and	CCONJ
ejpam-6228	181	28	vector	vector	NOUN
ejpam-6228	181	29	parts	part	NOUN
ejpam-6228	181	30	independently	independently	ADV
ejpam-6228	181	31	processed	process	VERB
ejpam-6228	181	32	.	.	PUNCT
ejpam-6228	182	1	suppose	suppose	VERB
ejpam-6228	182	2	the	the	DET
ejpam-6228	182	3	quaternion	quaternion	NOUN
ejpam-6228	182	4	prime298	prime298	PROPN
ejpam-6228	182	5	δ	δ	NOUN
ejpam-6228	182	6	=	=	PROPN
ejpam-6228	182	7	80	80	NUM
ejpam-6228	182	8	+	+	NUM
ejpam-6228	182	9	31i+	31i+	NUM
ejpam-6228	182	10	31j	31j	NOUN
ejpam-6228	182	11	+	+	CCONJ
ejpam-6228	182	12	31k	31k	NOUN
ejpam-6228	182	13	,	,	PUNCT
ejpam-6228	182	14	with	with	ADP
ejpam-6228	182	15	norm299	norm299	PROPN
ejpam-6228	182	16	n(δ	n(δ	PROPN
ejpam-6228	182	17	)	)	PUNCT
ejpam-6228	183	1	=	=	SYM
ejpam-6228	183	2	9283	9283	NUM
ejpam-6228	183	3	,	,	PUNCT
ejpam-6228	183	4	being	be	AUX
ejpam-6228	183	5	prime	prime	ADJ
ejpam-6228	183	6	in	in	ADP
ejpam-6228	183	7	z	z	PROPN
ejpam-6228	183	8	,	,	PUNCT
ejpam-6228	183	9	and	and	CCONJ
ejpam-6228	183	10	the	the	DET
ejpam-6228	183	11	generator300	generator300	PROPN
ejpam-6228	183	12	α	α	NOUN
ejpam-6228	184	1	=	=	SYM
ejpam-6228	184	2	2	2	NUM
ejpam-6228	184	3	+	+	NUM
ejpam-6228	184	4	19i+	19i+	NUM
ejpam-6228	184	5	19j	19j	NOUN
ejpam-6228	184	6	+	+	CCONJ
ejpam-6228	184	7	19k	19k	NUM
ejpam-6228	184	8	.	.	PUNCT
ejpam-6228	184	9	two	two	NUM
ejpam-6228	184	10	s	s	NOUN
ejpam-6228	184	11	-	-	PUNCT
ejpam-6228	184	12	boxes	box	NOUN
ejpam-6228	184	13	are	be	AUX
ejpam-6228	184	14	constructed	construct	VERB
ejpam-6228	184	15	distinctively	distinctively	ADV
ejpam-6228	184	16	as	as	ADP
ejpam-6228	184	17	follows:301	follows:301	PROPN
ejpam-6228	184	18	(	(	PUNCT
ejpam-6228	184	19	i	i	NOUN
ejpam-6228	184	20	)	)	PUNCT
ejpam-6228	184	21	scalar	scalar	ADJ
ejpam-6228	184	22	parts	part	NOUN
ejpam-6228	184	23	s	s	NOUN
ejpam-6228	184	24	-	-	PUNCT
ejpam-6228	184	25	box	box	NOUN
ejpam-6228	184	26	ss	ss	PROPN
ejpam-6228	184	27	:	:	PUNCT
ejpam-6228	184	28	this	this	DET
ejpam-6228	184	29	s	s	PROPN
ejpam-6228	184	30	-	-	PUNCT
ejpam-6228	184	31	box	box	NOUN
ejpam-6228	184	32	ss	ss	NOUN
ejpam-6228	184	33	is	be	AUX
ejpam-6228	184	34	designed	design	VERB
ejpam-6228	184	35	by	by	ADP
ejpam-6228	184	36	running	run	VERB
ejpam-6228	184	37	all	all	DET
ejpam-6228	184	38	the	the	DET
ejpam-6228	184	39	steps	step	NOUN
ejpam-6228	184	40	as302	as302	PROPN
ejpam-6228	184	41	described	describe	VERB
ejpam-6228	184	42	above	above	ADV
ejpam-6228	184	43	on	on	ADP
ejpam-6228	184	44	the	the	DET
ejpam-6228	184	45	real	real	ADJ
ejpam-6228	184	46	(	(	PUNCT
ejpam-6228	184	47	scalar	scalar	ADJ
ejpam-6228	184	48	)	)	PUNCT
ejpam-6228	184	49	part	part	NOUN
ejpam-6228	184	50	of	of	ADP
ejpam-6228	184	51	quaternions	quaternion	NOUN
ejpam-6228	184	52	.	.	PUNCT
ejpam-6228	185	1	it	it	PRON
ejpam-6228	185	2	is	be	AUX
ejpam-6228	185	3	mapped	map	VERB
ejpam-6228	185	4	using	use	VERB
ejpam-6228	185	5	the303	the303	ADP
ejpam-6228	185	6	‘	'	PUNCT
ejpam-6228	185	7	inverse	inverse	ADJ
ejpam-6228	185	8	affine	affine	NOUN
ejpam-6228	185	9	’	'	PUNCT
ejpam-6228	185	10	transformation	transformation	NOUN
ejpam-6228	185	11	,	,	PUNCT
ejpam-6228	185	12	modular	modular	ADJ
ejpam-6228	185	13	arithmetic	arithmetic	NOUN
ejpam-6228	185	14	,	,	PUNCT
ejpam-6228	185	15	and	and	CCONJ
ejpam-6228	185	16	the	the	DET
ejpam-6228	185	17	transformation	transformation	NOUN
ejpam-6228	185	18	function304	function304	PROPN
ejpam-6228	185	19	h(xi	h(xi	X
ejpam-6228	185	20	)	)	PUNCT
ejpam-6228	185	21	applied	apply	VERB
ejpam-6228	185	22	to	to	ADP
ejpam-6228	185	23	the	the	DET
ejpam-6228	185	24	input	input	NOUN
ejpam-6228	185	25	values.305	values.305	PROPN
ejpam-6228	185	26	(	(	PUNCT
ejpam-6228	185	27	ii	ii	NOUN
ejpam-6228	185	28	)	)	PUNCT
ejpam-6228	185	29	vector	vector	NOUN
ejpam-6228	185	30	parts	part	NOUN
ejpam-6228	185	31	s	s	NOUN
ejpam-6228	185	32	-	-	NOUN
ejpam-6228	185	33	box	box	NOUN
ejpam-6228	185	34	sv	sv	NOUN
ejpam-6228	185	35	:	:	PUNCT
ejpam-6228	185	36	this	this	PRON
ejpam-6228	185	37	is	be	AUX
ejpam-6228	185	38	an	an	DET
ejpam-6228	185	39	s	s	NOUN
ejpam-6228	185	40	-	-	PUNCT
ejpam-6228	185	41	box	box	NOUN
ejpam-6228	185	42	created	create	VERB
ejpam-6228	185	43	for	for	ADP
ejpam-6228	185	44	the	the	DET
ejpam-6228	185	45	vector	vector	NOUN
ejpam-6228	185	46	(	(	PUNCT
ejpam-6228	185	47	pure	pure	ADJ
ejpam-6228	185	48	quaternion)306	quaternion)306	CCONJ
ejpam-6228	185	49	part	part	NOUN
ejpam-6228	185	50	,	,	PUNCT
ejpam-6228	185	51	based	base	VERB
ejpam-6228	185	52	on	on	ADP
ejpam-6228	185	53	the	the	DET
ejpam-6228	185	54	transformation	transformation	NOUN
ejpam-6228	185	55	of	of	ADP
ejpam-6228	185	56	the	the	DET
ejpam-6228	185	57	i	i	PROPN
ejpam-6228	185	58	,	,	PUNCT
ejpam-6228	185	59	j	j	PROPN
ejpam-6228	185	60	,	,	PUNCT
ejpam-6228	185	61	k	k	PROPN
ejpam-6228	185	62	parts	part	NOUN
ejpam-6228	185	63	of	of	ADP
ejpam-6228	185	64	quaternion	quaternion	NOUN
ejpam-6228	185	65	elements	element	NOUN
ejpam-6228	185	66	to	to	ADP
ejpam-6228	185	67	make307	make307	PROPN
ejpam-6228	185	68	it	it	PRON
ejpam-6228	185	69	resistant	resistant	ADJ
ejpam-6228	185	70	to	to	PART
ejpam-6228	185	71	differential	differential	VERB
ejpam-6228	185	72	attacks.308	attacks.308	ADV
ejpam-6228	185	73	by	by	ADP
ejpam-6228	185	74	independently	independently	ADV
ejpam-6228	185	75	designing	design	VERB
ejpam-6228	185	76	ss	ss	PROPN
ejpam-6228	185	77	and	and	CCONJ
ejpam-6228	185	78	sv	sv	PROPN
ejpam-6228	185	79	,	,	PUNCT
ejpam-6228	185	80	the	the	DET
ejpam-6228	185	81	resulting	result	VERB
ejpam-6228	185	82	s	s	NOUN
ejpam-6228	185	83	-	-	PUNCT
ejpam-6228	185	84	boxes	box	NOUN
ejpam-6228	185	85	,	,	PUNCT
ejpam-6228	185	86	the	the	DET
ejpam-6228	185	87	vulnerability	vulnerability	NOUN
ejpam-6228	185	88	to	to	PART
ejpam-6228	185	89	crypt-309	crypt-309	VERB
ejpam-6228	185	90	analysis	analysis	NOUN
ejpam-6228	185	91	is	be	AUX
ejpam-6228	185	92	reduced	reduce	VERB
ejpam-6228	185	93	in	in	ADP
ejpam-6228	185	94	both	both	DET
ejpam-6228	185	95	cryptographic	cryptographic	ADJ
ejpam-6228	185	96	applications	application	NOUN
ejpam-6228	185	97	,	,	PUNCT
ejpam-6228	185	98	secure	secure	ADJ
ejpam-6228	185	99	image	image	NOUN
ejpam-6228	185	100	encryption	encryption	NOUN
ejpam-6228	185	101	,	,	PUNCT
ejpam-6228	185	102	and	and	CCONJ
ejpam-6228	185	103	block310	block310	PROPN
ejpam-6228	185	104	ciphers	cipher	NOUN
ejpam-6228	185	105	.	.	PUNCT
ejpam-6228	186	1	this	this	PRON
ejpam-6228	186	2	is	be	AUX
ejpam-6228	186	3	achieved	achieve	VERB
ejpam-6228	186	4	by	by	ADP
ejpam-6228	186	5	utilizing	utilize	VERB
ejpam-6228	186	6	the	the	DET
ejpam-6228	186	7	multidimensional	multidimensional	ADJ
ejpam-6228	186	8	algebraic	algebraic	ADJ
ejpam-6228	186	9	properties	property	NOUN
ejpam-6228	186	10	of	of	ADP
ejpam-6228	186	11	quater-311	quater-311	ADJ
ejpam-6228	186	12	nions	nion	NOUN
ejpam-6228	186	13	.	.	PUNCT
ejpam-6228	187	1	tables	table	NOUN
ejpam-6228	187	2	1	1	NUM
ejpam-6228	187	3	and	and	CCONJ
ejpam-6228	187	4	2	2	NUM
ejpam-6228	187	5	contain	contain	VERB
ejpam-6228	187	6	the	the	DET
ejpam-6228	187	7	completed	complete	VERB
ejpam-6228	187	8	s	s	NOUN
ejpam-6228	187	9	-	-	NOUN
ejpam-6228	187	10	box	box	NOUN
ejpam-6228	187	11	values.312	values.312	NOUN
ejpam-6228	187	12	4.1	4.1	NUM
ejpam-6228	187	13	.	.	PUNCT
ejpam-6228	188	1	nonlinearity313	nonlinearity313	PROPN
ejpam-6228	188	2	s	s	PROPN
ejpam-6228	188	3	-	-	PUNCT
ejpam-6228	188	4	box	box	NOUN
ejpam-6228	188	5	nonlinearity	nonlinearity	NOUN
ejpam-6228	188	6	(	(	PUNCT
ejpam-6228	188	7	nl	nl	NOUN
ejpam-6228	188	8	)	)	PUNCT
ejpam-6228	188	9	represents	represent	VERB
ejpam-6228	188	10	a	a	DET
ejpam-6228	188	11	fundamental	fundamental	ADJ
ejpam-6228	188	12	element	element	NOUN
ejpam-6228	188	13	of	of	ADP
ejpam-6228	188	14	cryptographic	cryptographic	ADJ
ejpam-6228	188	15	strength314	strength314	PROPN
ejpam-6228	188	16	because	because	SCONJ
ejpam-6228	188	17	s	s	NOUN
ejpam-6228	188	18	-	-	PUNCT
ejpam-6228	188	19	boxes	box	NOUN
ejpam-6228	188	20	use	use	VERB
ejpam-6228	188	21	quaternion	quaternion	NOUN
ejpam-6228	188	22	integer	integer	NOUN
ejpam-6228	188	23	parts	part	NOUN
ejpam-6228	188	24	to	to	PART
ejpam-6228	188	25	generate	generate	VERB
ejpam-6228	188	26	separate	separate	ADJ
ejpam-6228	188	27	nonlinearity	nonlinearity	NOUN
ejpam-6228	188	28	functions315	functions315	PROPN
ejpam-6228	188	29	between	between	ADP
ejpam-6228	188	30	scalar	scalar	ADJ
ejpam-6228	188	31	and	and	CCONJ
ejpam-6228	188	32	vector	vector	NOUN
ejpam-6228	188	33	components	component	NOUN
ejpam-6228	188	34	.	.	PUNCT
ejpam-6228	189	1	the	the	DET
ejpam-6228	189	2	s	s	NOUN
ejpam-6228	189	3	-	-	PUNCT
ejpam-6228	189	4	boxes	box	NOUN
ejpam-6228	189	5	benefit	benefit	NOUN
ejpam-6228	189	6	from	from	ADP
ejpam-6228	189	7	quaternion	quaternion	ADJ
ejpam-6228	189	8	algebra	algebra	NOUN
ejpam-6228	189	9	to316	to316	PROPN
ejpam-6228	189	10	achieve	achieve	VERB
ejpam-6228	189	11	their	their	PRON
ejpam-6228	189	12	increased	increase	VERB
ejpam-6228	189	13	complexity	complexity	NOUN
ejpam-6228	189	14	since	since	SCONJ
ejpam-6228	189	15	this	this	DET
ejpam-6228	189	16	mathematical	mathematical	ADJ
ejpam-6228	189	17	framework	framework	NOUN
ejpam-6228	189	18	exploits	exploit	VERB
ejpam-6228	189	19	the	the	DET
ejpam-6228	189	20	multidi-317	multidi-317	ADJ
ejpam-6228	189	21	mensional	mensional	ADJ
ejpam-6228	189	22	nature	nature	NOUN
ejpam-6228	189	23	of	of	ADP
ejpam-6228	189	24	the	the	DET
ejpam-6228	189	25	structure	structure	NOUN
ejpam-6228	189	26	.	.	PUNCT
ejpam-6228	190	1	the	the	DET
ejpam-6228	190	2	scalar	scalar	ADJ
ejpam-6228	190	3	s	s	NOUN
ejpam-6228	190	4	-	-	PUNCT
ejpam-6228	190	5	box	box	NOUN
ejpam-6228	190	6	performs	perform	VERB
ejpam-6228	190	7	computations	computation	NOUN
ejpam-6228	190	8	on	on	ADP
ejpam-6228	190	9	quaternion318	quaternion318	PROPN
ejpam-6228	190	10	element	element	NOUN
ejpam-6228	190	11	real	real	ADJ
ejpam-6228	190	12	parts	part	NOUN
ejpam-6228	190	13	through	through	ADP
ejpam-6228	190	14	modular	modular	ADJ
ejpam-6228	190	15	transformations	transformation	NOUN
ejpam-6228	190	16	and	and	CCONJ
ejpam-6228	190	17	permutation	permutation	NOUN
ejpam-6228	190	18	mappings	mapping	NOUN
ejpam-6228	190	19	along	along	ADP
ejpam-6228	190	20	with319	with319	PROPN
ejpam-6228	190	21	affine	affine	NOUN
ejpam-6228	190	22	operations	operation	NOUN
ejpam-6228	190	23	,	,	PUNCT
ejpam-6228	190	24	thereby	thereby	ADV
ejpam-6228	190	25	establishing	establish	VERB
ejpam-6228	190	26	high	high	ADJ
ejpam-6228	190	27	levels	level	NOUN
ejpam-6228	190	28	of	of	ADP
ejpam-6228	190	29	nonlinearity	nonlinearity	NOUN
ejpam-6228	190	30	that	that	PRON
ejpam-6228	190	31	counter	counter	VERB
ejpam-6228	190	32	linear	linear	PROPN
ejpam-6228	190	33	ap-320	ap-320	NOUN
ejpam-6228	190	34	proximations	proximation	NOUN
ejpam-6228	190	35	.	.	PUNCT
ejpam-6228	191	1	the	the	DET
ejpam-6228	191	2	vector	vector	PROPN
ejpam-6228	191	3	s	s	PROPN
ejpam-6228	191	4	-	-	PUNCT
ejpam-6228	191	5	box	box	NOUN
ejpam-6228	191	6	uses	use	VERB
ejpam-6228	191	7	modular	modular	ADJ
ejpam-6228	191	8	exponentiation	exponentiation	NOUN
ejpam-6228	191	9	and	and	CCONJ
ejpam-6228	191	10	rotation	rotation	NOUN
ejpam-6228	191	11	-	-	PUNCT
ejpam-6228	191	12	based	base	VERB
ejpam-6228	191	13	diffusion321	diffusion321	PROPN
ejpam-6228	191	14	together	together	ADV
ejpam-6228	191	15	with	with	ADP
ejpam-6228	191	16	non	non	ADJ
ejpam-6228	191	17	-	-	ADJ
ejpam-6228	191	18	affine	affine	ADJ
ejpam-6228	191	19	substitutions	substitution	NOUN
ejpam-6228	191	20	as	as	ADP
ejpam-6228	191	21	individual	individual	ADJ
ejpam-6228	191	22	transformations	transformation	NOUN
ejpam-6228	191	23	for	for	ADP
ejpam-6228	191	24	the	the	DET
ejpam-6228	191	25	pure	pure	ADJ
ejpam-6228	191	26	quater-322	quater-322	NOUN
ejpam-6228	191	27	nion	nion	ADJ
ejpam-6228	191	28	components	component	NOUN
ejpam-6228	191	29	to	to	PART
ejpam-6228	191	30	achieve	achieve	VERB
ejpam-6228	191	31	strong	strong	ADJ
ejpam-6228	191	32	resistance	resistance	NOUN
ejpam-6228	191	33	to	to	PART
ejpam-6228	191	34	differential	differential	VERB
ejpam-6228	191	35	cryptanalysis	cryptanalysis	NOUN
ejpam-6228	191	36	.	.	PUNCT
ejpam-6228	192	1	the	the	DET
ejpam-6228	192	2	evaluation323	evaluation323	PROPN
ejpam-6228	192	3	of	of	ADP
ejpam-6228	192	4	s	s	PROPN
ejpam-6228	192	5	-	-	PUNCT
ejpam-6228	192	6	box	box	NOUN
ejpam-6228	192	7	nonlinearity	nonlinearity	NOUN
ejpam-6228	192	8	depends	depend	VERB
ejpam-6228	192	9	on	on	ADP
ejpam-6228	192	10	calculating	calculate	VERB
ejpam-6228	192	11	their	their	PRON
ejpam-6228	192	12	hamming	hamming	NOUN
ejpam-6228	192	13	distances	distance	NOUN
ejpam-6228	192	14	from	from	ADP
ejpam-6228	192	15	affine	affine	NOUN
ejpam-6228	192	16	functions324	functions324	PROPN
ejpam-6228	192	17	to	to	PART
ejpam-6228	192	18	ensure	ensure	VERB
ejpam-6228	192	19	maximum	maximum	ADJ
ejpam-6228	192	20	unpredictability	unpredictability	NOUN
ejpam-6228	192	21	in	in	ADP
ejpam-6228	192	22	output	output	NOUN
ejpam-6228	192	23	variations	variation	NOUN
ejpam-6228	192	24	from	from	ADP
ejpam-6228	192	25	small	small	ADJ
ejpam-6228	192	26	input	input	NOUN
ejpam-6228	192	27	variations	variation	NOUN
ejpam-6228	192	28	.	.	PUNCT
ejpam-6228	193	1	the325	the325	PROPN
ejpam-6228	193	2	quaternion	quaternion	NOUN
ejpam-6228	193	3	structure	structure	NOUN
ejpam-6228	193	4	protects	protect	VERB
ejpam-6228	193	5	system	system	NOUN
ejpam-6228	193	6	security	security	NOUN
ejpam-6228	193	7	through	through	ADP
ejpam-6228	193	8	the	the	DET
ejpam-6228	193	9	distribution	distribution	NOUN
ejpam-6228	193	10	of	of	ADP
ejpam-6228	193	11	mathematical	mathematical	ADJ
ejpam-6228	193	12	op-326	op-326	NOUN
ejpam-6228	193	13	erations	eration	NOUN
ejpam-6228	193	14	among	among	ADP
ejpam-6228	193	15	multiple	multiple	ADJ
ejpam-6228	193	16	parts	part	NOUN
ejpam-6228	193	17	,	,	PUNCT
ejpam-6228	193	18	which	which	PRON
ejpam-6228	193	19	reduces	reduce	VERB
ejpam-6228	193	20	statistical	statistical	ADJ
ejpam-6228	193	21	correlations	correlation	NOUN
ejpam-6228	193	22	,	,	PUNCT
ejpam-6228	193	23	making	make	VERB
ejpam-6228	193	24	it	it	PRON
ejpam-6228	193	25	practically327	practically327	PROPN
ejpam-6228	193	26	m.	m.	NOUN
ejpam-6228	193	27	sajjad	sajjad	PROPN
ejpam-6228	193	28	,	,	PUNCT
ejpam-6228	193	29	n.	n.	PROPN
ejpam-6228	193	30	a.	a.	NOUN
ejpam-6228	193	31	alqwaifly	alqwaifly	PROPN
ejpam-6228	193	32	/	/	SYM
ejpam-6228	193	33	eur	eur	PROPN
ejpam-6228	193	34	.	.	PUNCT
ejpam-6228	194	1	j.	j.	PROPN
ejpam-6228	194	2	pure	pure	PROPN
ejpam-6228	194	3	appl	appl	PROPN
ejpam-6228	194	4	.	.	PROPN
ejpam-6228	194	5	math	math	PROPN
ejpam-6228	194	6	,	,	PUNCT
ejpam-6228	194	7	18	18	NUM
ejpam-6228	194	8	(	(	PUNCT
ejpam-6228	194	9	2	2	NUM
ejpam-6228	194	10	)	)	PUNCT
ejpam-6228	194	11	(	(	PUNCT
ejpam-6228	194	12	2025	2025	NUM
ejpam-6228	194	13	)	)	PUNCT
ejpam-6228	194	14	,	,	PUNCT
ejpam-6228	194	15	6228	6228	NUM
ejpam-6228	194	16	11	11	NUM
ejpam-6228	194	17	of	of	ADP
ejpam-6228	194	18	35	35	NUM
ejpam-6228	194	19	table	table	NOUN
ejpam-6228	194	20	1	1	NUM
ejpam-6228	194	21	:	:	PUNCT
ejpam-6228	194	22	ss	ss	NOUN
ejpam-6228	194	23	over	over	ADP
ejpam-6228	194	24	the	the	DET
ejpam-6228	194	25	scalar	scalar	ADJ
ejpam-6228	194	26	part	part	NOUN
ejpam-6228	194	27	of	of	ADP
ejpam-6228	194	28	qi	qi	PROPN
ejpam-6228	195	1	188	188	NUM
ejpam-6228	195	2	79	79	NUM
ejpam-6228	195	3	28	28	NUM
ejpam-6228	195	4	130	130	NUM
ejpam-6228	195	5	44	44	NUM
ejpam-6228	195	6	234	234	NUM
ejpam-6228	195	7	176	176	NUM
ejpam-6228	195	8	146	146	NUM
ejpam-6228	195	9	215	215	NUM
ejpam-6228	195	10	184	184	NUM
ejpam-6228	195	11	114	114	NUM
ejpam-6228	195	12	17	17	NUM
ejpam-6228	195	13	162	162	NUM
ejpam-6228	195	14	1	1	NUM
ejpam-6228	195	15	199	199	NUM
ejpam-6228	195	16	158	158	NUM
ejpam-6228	195	17	57	57	NUM
ejpam-6228	195	18	71	71	NUM
ejpam-6228	195	19	34	34	NUM
ejpam-6228	195	20	12	12	NUM
ejpam-6228	195	21	212	212	NUM
ejpam-6228	195	22	156	156	NUM
ejpam-6228	195	23	62	62	NUM
ejpam-6228	195	24	179	179	NUM
ejpam-6228	195	25	20	20	NUM
ejpam-6228	195	26	169	169	NUM
ejpam-6228	195	27	124	124	NUM
ejpam-6228	195	28	159	159	NUM
ejpam-6228	195	29	66	66	NUM
ejpam-6228	195	30	196	196	NUM
ejpam-6228	195	31	222	222	NUM
ejpam-6228	195	32	175	175	NUM
ejpam-6228	195	33	244	244	NUM
ejpam-6228	195	34	91	91	NUM
ejpam-6228	195	35	206	206	NUM
ejpam-6228	195	36	132	132	NUM
ejpam-6228	195	37	144	144	NUM
ejpam-6228	195	38	250	250	NUM
ejpam-6228	195	39	116	116	NUM
ejpam-6228	195	40	143	143	NUM
ejpam-6228	195	41	123	123	NUM
ejpam-6228	195	42	96	96	NUM
ejpam-6228	195	43	54	54	NUM
ejpam-6228	195	44	140	140	NUM
ejpam-6228	195	45	217	217	NUM
ejpam-6228	195	46	127	127	NUM
ejpam-6228	195	47	76	76	NUM
ejpam-6228	195	48	174	174	NUM
ejpam-6228	195	49	29	29	NUM
ejpam-6228	195	50	186	186	NUM
ejpam-6228	195	51	183	183	NUM
ejpam-6228	195	52	150	150	NUM
ejpam-6228	195	53	235	235	NUM
ejpam-6228	195	54	22	22	NUM
ejpam-6228	195	55	82	82	NUM
ejpam-6228	195	56	3	3	NUM
ejpam-6228	195	57	161	161	NUM
ejpam-6228	195	58	239	239	NUM
ejpam-6228	195	59	31	31	NUM
ejpam-6228	195	60	5	5	NUM
ejpam-6228	195	61	241	241	NUM
ejpam-6228	195	62	218	218	NUM
ejpam-6228	195	63	48	48	NUM
ejpam-6228	195	64	190	190	NUM
ejpam-6228	195	65	232	232	NUM
ejpam-6228	195	66	118	118	NUM
ejpam-6228	195	67	152	152	NUM
ejpam-6228	195	68	247	247	NUM
ejpam-6228	195	69	119	119	NUM
ejpam-6228	195	70	171	171	NUM
ejpam-6228	195	71	77	77	NUM
ejpam-6228	195	72	134	134	NUM
ejpam-6228	195	73	194	194	NUM
ejpam-6228	195	74	107	107	NUM
ejpam-6228	195	75	133	133	NUM
ejpam-6228	195	76	255	255	NUM
ejpam-6228	195	77	83	83	NUM
ejpam-6228	195	78	111	111	NUM
ejpam-6228	195	79	170	170	NUM
ejpam-6228	195	80	195	195	NUM
ejpam-6228	195	81	10	10	NUM
ejpam-6228	195	82	126	126	NUM
ejpam-6228	195	83	185	185	NUM
ejpam-6228	195	84	115	115	NUM
ejpam-6228	195	85	14	14	NUM
ejpam-6228	195	86	21	21	NUM
ejpam-6228	195	87	226	226	NUM
ejpam-6228	195	88	105	105	NUM
ejpam-6228	195	89	84	84	NUM
ejpam-6228	195	90	245	245	NUM
ejpam-6228	195	91	238	238	NUM
ejpam-6228	195	92	75	75	NUM
ejpam-6228	195	93	47	47	NUM
ejpam-6228	195	94	202	202	NUM
ejpam-6228	195	95	219	219	NUM
ejpam-6228	195	96	137	137	NUM
ejpam-6228	195	97	92	92	NUM
ejpam-6228	195	98	197	197	NUM
ejpam-6228	195	99	85	85	NUM
ejpam-6228	195	100	149	149	NUM
ejpam-6228	195	101	100	100	NUM
ejpam-6228	195	102	253	253	NUM
ejpam-6228	195	103	249	249	NUM
ejpam-6228	195	104	33	33	NUM
ejpam-6228	195	105	55	55	NUM
ejpam-6228	195	106	50	50	NUM
ejpam-6228	195	107	49	49	NUM
ejpam-6228	195	108	164	164	NUM
ejpam-6228	195	109	192	192	NUM
ejpam-6228	195	110	246	246	NUM
ejpam-6228	195	111	43	43	NUM
ejpam-6228	195	112	18	18	NUM
ejpam-6228	195	113	240	240	NUM
ejpam-6228	195	114	108	108	NUM
ejpam-6228	195	115	32	32	NUM
ejpam-6228	195	116	172	172	NUM
ejpam-6228	195	117	64	64	NUM
ejpam-6228	195	118	102	102	NUM
ejpam-6228	195	119	167	167	NUM
ejpam-6228	195	120	237	237	NUM
ejpam-6228	195	121	207	207	NUM
ejpam-6228	195	122	122	122	NUM
ejpam-6228	195	123	68	68	NUM
ejpam-6228	195	124	81	81	NUM
ejpam-6228	195	125	90	90	NUM
ejpam-6228	195	126	69	69	NUM
ejpam-6228	195	127	251	251	NUM
ejpam-6228	195	128	145	145	NUM
ejpam-6228	195	129	16	16	NUM
ejpam-6228	195	130	198	198	NUM
ejpam-6228	195	131	252	252	NUM
ejpam-6228	195	132	181	181	NUM
ejpam-6228	195	133	139	139	NUM
ejpam-6228	195	134	89	89	NUM
ejpam-6228	195	135	182	182	NUM
ejpam-6228	195	136	224	224	NUM
ejpam-6228	195	137	168	168	NUM
ejpam-6228	195	138	151	151	NUM
ejpam-6228	195	139	13	13	NUM
ejpam-6228	195	140	153	153	NUM
ejpam-6228	195	141	4	4	NUM
ejpam-6228	195	142	228	228	NUM
ejpam-6228	195	143	67	67	NUM
ejpam-6228	195	144	242	242	NUM
ejpam-6228	195	145	51	51	NUM
ejpam-6228	195	146	216	216	NUM
ejpam-6228	195	147	128	128	NUM
ejpam-6228	195	148	204	204	NUM
ejpam-6228	195	149	208	208	NUM
ejpam-6228	195	150	9	9	NUM
ejpam-6228	195	151	8	8	NUM
ejpam-6228	195	152	201	201	NUM
ejpam-6228	195	153	135	135	NUM
ejpam-6228	195	154	87	87	NUM
ejpam-6228	195	155	103	103	NUM
ejpam-6228	195	156	220	220	NUM
ejpam-6228	195	157	11	11	NUM
ejpam-6228	195	158	229	229	NUM
ejpam-6228	195	159	56	56	NUM
ejpam-6228	195	160	173	173	NUM
ejpam-6228	195	161	88	88	NUM
ejpam-6228	195	162	97	97	NUM
ejpam-6228	195	163	189	189	NUM
ejpam-6228	195	164	113	113	NUM
ejpam-6228	195	165	209	209	NUM
ejpam-6228	195	166	6	6	NUM
ejpam-6228	195	167	41	41	NUM
ejpam-6228	195	168	138	138	NUM
ejpam-6228	195	169	142	142	NUM
ejpam-6228	195	170	36	36	NUM
ejpam-6228	195	171	205	205	NUM
ejpam-6228	195	172	60	60	NUM
ejpam-6228	195	173	15	15	NUM
ejpam-6228	195	174	160	160	NUM
ejpam-6228	195	175	30	30	NUM
ejpam-6228	195	176	40	40	NUM
ejpam-6228	195	177	177	177	NUM
ejpam-6228	195	178	52	52	NUM
ejpam-6228	195	179	211	211	NUM
ejpam-6228	195	180	141	141	NUM
ejpam-6228	195	181	210	210	NUM
ejpam-6228	195	182	225	225	NUM
ejpam-6228	195	183	166	166	NUM
ejpam-6228	195	184	221	221	NUM
ejpam-6228	195	185	65	65	NUM
ejpam-6228	195	186	112	112	NUM
ejpam-6228	195	187	248	248	NUM
ejpam-6228	195	188	125	125	NUM
ejpam-6228	195	189	178	178	NUM
ejpam-6228	195	190	78	78	NUM
ejpam-6228	195	191	165	165	NUM
ejpam-6228	195	192	59	59	NUM
ejpam-6228	195	193	24	24	NUM
ejpam-6228	195	194	98	98	NUM
ejpam-6228	195	195	73	73	NUM
ejpam-6228	195	196	148	148	NUM
ejpam-6228	195	197	203	203	NUM
ejpam-6228	195	198	136	136	NUM
ejpam-6228	195	199	101	101	NUM
ejpam-6228	195	200	35	35	NUM
ejpam-6228	195	201	131	131	NUM
ejpam-6228	195	202	121	121	NUM
ejpam-6228	195	203	45	45	NUM
ejpam-6228	195	204	42	42	NUM
ejpam-6228	195	205	7	7	NUM
ejpam-6228	195	206	58	58	NUM
ejpam-6228	195	207	109	109	NUM
ejpam-6228	195	208	155	155	NUM
ejpam-6228	195	209	191	191	NUM
ejpam-6228	195	210	214	214	NUM
ejpam-6228	195	211	93	93	NUM
ejpam-6228	195	212	104	104	NUM
ejpam-6228	195	213	2	2	NUM
ejpam-6228	195	214	46	46	NUM
ejpam-6228	195	215	213	213	NUM
ejpam-6228	195	216	80	80	NUM
ejpam-6228	195	217	70	70	NUM
ejpam-6228	195	218	117	117	NUM
ejpam-6228	195	219	200	200	NUM
ejpam-6228	195	220	227	227	NUM
ejpam-6228	195	221	61	61	NUM
ejpam-6228	195	222	180	180	NUM
ejpam-6228	195	223	254	254	NUM
ejpam-6228	195	224	147	147	NUM
ejpam-6228	195	225	231	231	NUM
ejpam-6228	195	226	129	129	NUM
ejpam-6228	195	227	243	243	NUM
ejpam-6228	195	228	187	187	NUM
ejpam-6228	195	229	38	38	NUM
ejpam-6228	195	230	154	154	NUM
ejpam-6228	195	231	230	230	NUM
ejpam-6228	195	232	106	106	NUM
ejpam-6228	195	233	72	72	NUM
ejpam-6228	195	234	99	99	NUM
ejpam-6228	195	235	94	94	NUM
ejpam-6228	195	236	120	120	NUM
ejpam-6228	195	237	19	19	NUM
ejpam-6228	195	238	193	193	NUM
ejpam-6228	195	239	25	25	NUM
ejpam-6228	195	240	37	37	NUM
ejpam-6228	195	241	86	86	NUM
ejpam-6228	195	242	157	157	NUM
ejpam-6228	195	243	26	26	NUM
ejpam-6228	195	244	63	63	NUM
ejpam-6228	195	245	74	74	NUM
ejpam-6228	195	246	0	0	NUM
ejpam-6228	195	247	23	23	NUM
ejpam-6228	195	248	39	39	NUM
ejpam-6228	195	249	27	27	NUM
ejpam-6228	195	250	53	53	NUM
ejpam-6228	195	251	223	223	NUM
ejpam-6228	195	252	110	110	NUM
ejpam-6228	195	253	95	95	NUM
ejpam-6228	195	254	233	233	NUM
ejpam-6228	195	255	163	163	NUM
ejpam-6228	195	256	236	236	NUM
ejpam-6228	195	257	impossible	impossible	ADJ
ejpam-6228	195	258	to	to	PART
ejpam-6228	195	259	perform	perform	VERB
ejpam-6228	195	260	linear	linear	ADJ
ejpam-6228	195	261	approximations	approximation	NOUN
ejpam-6228	195	262	.	.	PUNCT
ejpam-6228	196	1	these	these	DET
ejpam-6228	196	2	s	s	NOUN
ejpam-6228	196	3	-	-	PUNCT
ejpam-6228	196	4	boxes	box	NOUN
ejpam-6228	196	5	achieve	achieve	VERB
ejpam-6228	196	6	strong	strong	ADJ
ejpam-6228	196	7	confusion	confusion	NOUN
ejpam-6228	196	8	and328	and328	PROPN
ejpam-6228	196	9	diffusion	diffusion	NOUN
ejpam-6228	196	10	capabilities	capability	NOUN
ejpam-6228	196	11	through	through	ADP
ejpam-6228	196	12	independent	independent	ADJ
ejpam-6228	196	13	scalar	scalar	ADJ
ejpam-6228	196	14	and	and	CCONJ
ejpam-6228	196	15	vector	vector	NOUN
ejpam-6228	196	16	part	part	NOUN
ejpam-6228	196	17	processing	processing	NOUN
ejpam-6228	196	18	,	,	PUNCT
ejpam-6228	196	19	which	which	PRON
ejpam-6228	196	20	pro-329	pro-329	NOUN
ejpam-6228	196	21	tects	tect	VERB
ejpam-6228	196	22	against	against	ADP
ejpam-6228	196	23	attacks	attack	NOUN
ejpam-6228	196	24	including	include	VERB
ejpam-6228	196	25	linear	linear	ADJ
ejpam-6228	196	26	cryptanalysis	cryptanalysis	NOUN
ejpam-6228	196	27	,	,	PUNCT
ejpam-6228	196	28	differential	differential	ADJ
ejpam-6228	196	29	cryptanalysis	cryptanalysis	NOUN
ejpam-6228	196	30	and	and	CCONJ
ejpam-6228	196	31	algebraic330	algebraic330	PROPN
ejpam-6228	196	32	attacks	attack	NOUN
ejpam-6228	196	33	.	.	PUNCT
ejpam-6228	197	1	the	the	DET
ejpam-6228	197	2	complex	complex	ADJ
ejpam-6228	197	3	encryption	encryption	NOUN
ejpam-6228	197	4	system	system	NOUN
ejpam-6228	197	5	’s	’s	PART
ejpam-6228	197	6	strength	strength	NOUN
ejpam-6228	197	7	increases	increase	VERB
ejpam-6228	197	8	through	through	ADP
ejpam-6228	197	9	the	the	DET
ejpam-6228	197	10	combination	combination	NOUN
ejpam-6228	197	11	of331	of331	VERB
ejpam-6228	197	12	quaternion	quaternion	NOUN
ejpam-6228	197	13	integer	integer	NOUN
ejpam-6228	197	14	algebraic	algebraic	ADJ
ejpam-6228	197	15	characteristics	characteristic	NOUN
ejpam-6228	197	16	in	in	ADP
ejpam-6228	197	17	substitution	substitution	NOUN
ejpam-6228	197	18	processes	process	NOUN
ejpam-6228	197	19	.	.	PUNCT
ejpam-6228	198	1	the	the	DET
ejpam-6228	198	2	distinct	distinct	PROPN
ejpam-6228	198	3	nonlin-332	nonlin-332	PROPN
ejpam-6228	198	4	earity	earity	NOUN
ejpam-6228	198	5	features	feature	NOUN
ejpam-6228	198	6	of	of	ADP
ejpam-6228	198	7	quaternion	quaternion	NOUN
ejpam-6228	198	8	-	-	PUNCT
ejpam-6228	198	9	based	base	VERB
ejpam-6228	198	10	s	s	NOUN
ejpam-6228	198	11	-	-	PUNCT
ejpam-6228	198	12	boxes	box	NOUN
ejpam-6228	198	13	provide	provide	VERB
ejpam-6228	198	14	an	an	DET
ejpam-6228	198	15	enhanced	enhanced	ADJ
ejpam-6228	198	16	cryptographic	cryptographic	ADJ
ejpam-6228	198	17	approach333	approach333	NOUN
ejpam-6228	198	18	for	for	ADP
ejpam-6228	198	19	developing	develop	VERB
ejpam-6228	198	20	block	block	NOUN
ejpam-6228	198	21	ciphers	cipher	NOUN
ejpam-6228	198	22	along	along	ADV
ejpam-6228	198	23	with	with	ADP
ejpam-6228	198	24	implementing	implement	VERB
ejpam-6228	198	25	secure	secure	ADJ
ejpam-6228	198	26	image	image	NOUN
ejpam-6228	198	27	encryption	encryption	NOUN
ejpam-6228	198	28	systems334	systems334	PROPN
ejpam-6228	198	29	and	and	CCONJ
ejpam-6228	198	30	future	future	ADJ
ejpam-6228	198	31	cryptographic	cryptographic	ADJ
ejpam-6228	198	32	protocol	protocol	NOUN
ejpam-6228	198	33	designs	design	NOUN
ejpam-6228	198	34	[	[	X
ejpam-6228	198	35	3	3	NUM
ejpam-6228	198	36	,	,	PUNCT
ejpam-6228	198	37	5	5	NUM
ejpam-6228	198	38	,	,	PUNCT
ejpam-6228	198	39	12	12	NUM
ejpam-6228	198	40	,	,	PUNCT
ejpam-6228	198	41	17	17	NUM
ejpam-6228	198	42	]	]	PUNCT
ejpam-6228	198	43	.	.	PUNCT
ejpam-6228	199	1	the	the	DET
ejpam-6228	199	2	research	research	NOUN
ejpam-6228	199	3	for	for	ADP
ejpam-6228	199	4	nonlinearity335	nonlinearity335	PROPN
ejpam-6228	199	5	characteristics	characteristic	NOUN
ejpam-6228	199	6	and	and	CCONJ
ejpam-6228	199	7	relevant	relevant	ADJ
ejpam-6228	199	8	literature	literature	NOUN
ejpam-6228	199	9	review	review	NOUN
ejpam-6228	199	10	appears	appear	VERB
ejpam-6228	199	11	in	in	ADP
ejpam-6228	199	12	the	the	DET
ejpam-6228	199	13	proposed	propose	VERB
ejpam-6228	199	14	results	result	NOUN
ejpam-6228	199	15	in	in	ADP
ejpam-6228	199	16	table	table	NOUN
ejpam-6228	199	17	3	3	NUM
ejpam-6228	199	18	as336	as336	NOUN
ejpam-6228	199	19	well	well	ADV
ejpam-6228	199	20	as	as	ADP
ejpam-6228	199	21	table	table	NOUN
ejpam-6228	199	22	4.337	4.337	NUM
ejpam-6228	199	23	4.2	4.2	NUM
ejpam-6228	199	24	.	.	PUNCT
ejpam-6228	200	1	bit	bit	NOUN
ejpam-6228	200	2	independent	independent	ADJ
ejpam-6228	200	3	criteria338	criteria338	PROPN
ejpam-6228	200	4	it	it	PRON
ejpam-6228	200	5	is	be	AUX
ejpam-6228	200	6	crucial	crucial	ADJ
ejpam-6228	200	7	for	for	ADP
ejpam-6228	200	8	enhancing	enhance	VERB
ejpam-6228	200	9	resistance	resistance	NOUN
ejpam-6228	200	10	against	against	ADP
ejpam-6228	200	11	differential	differential	NOUN
ejpam-6228	200	12	and	and	CCONJ
ejpam-6228	200	13	linear	linear	ADJ
ejpam-6228	200	14	cryptanalysis	cryptanalysis	NOUN
ejpam-6228	200	15	that339	that339	ADP
ejpam-6228	200	16	the	the	DET
ejpam-6228	200	17	s	s	NOUN
ejpam-6228	200	18	-	-	NOUN
ejpam-6228	200	19	boxes	box	NOUN
ejpam-6228	200	20	over	over	ADP
ejpam-6228	200	21	quaternion	quaternion	NOUN
ejpam-6228	200	22	integers	integer	NOUN
ejpam-6228	200	23	are	be	AUX
ejpam-6228	200	24	separately	separately	ADV
ejpam-6228	200	25	constructed	construct	VERB
ejpam-6228	200	26	according	accord	VERB
ejpam-6228	200	27	to	to	ADP
ejpam-6228	200	28	the	the	DET
ejpam-6228	200	29	bit	bit	NOUN
ejpam-6228	200	30	inde-340	inde-340	ADJ
ejpam-6228	200	31	pendent	pendent	ADJ
ejpam-6228	200	32	criteria	criterion	NOUN
ejpam-6228	200	33	(	(	PUNCT
ejpam-6228	200	34	bic	bic	NOUN
ejpam-6228	200	35	)	)	PUNCT
ejpam-6228	200	36	nonlinearity	nonlinearity	NOUN
ejpam-6228	200	37	of	of	ADP
ejpam-6228	200	38	the	the	DET
ejpam-6228	200	39	scalar	scalar	ADJ
ejpam-6228	200	40	and	and	CCONJ
ejpam-6228	200	41	vector	vector	NOUN
ejpam-6228	200	42	parts	part	NOUN
ejpam-6228	200	43	.	.	PUNCT
ejpam-6228	201	1	the	the	PRON
ejpam-6228	201	2	more	more	ADJ
ejpam-6228	201	3	independent341	independent341	PROPN
ejpam-6228	201	4	the	the	DET
ejpam-6228	201	5	change	change	NOUN
ejpam-6228	201	6	of	of	ADP
ejpam-6228	201	7	each	each	DET
ejpam-6228	201	8	output	output	NOUN
ejpam-6228	201	9	bit	bit	NOUN
ejpam-6228	201	10	with	with	ADP
ejpam-6228	201	11	respect	respect	NOUN
ejpam-6228	201	12	to	to	ADP
ejpam-6228	201	13	changes	change	NOUN
ejpam-6228	201	14	in	in	ADP
ejpam-6228	201	15	input	input	NOUN
ejpam-6228	201	16	is	be	AUX
ejpam-6228	201	17	,	,	PUNCT
ejpam-6228	201	18	the	the	PRON
ejpam-6228	201	19	more	more	ADV
ejpam-6228	201	20	this	this	PRON
ejpam-6228	201	21	criterion342	criterion342	PROPN
ejpam-6228	201	22	is	be	AUX
ejpam-6228	201	23	satisfied	satisfied	ADJ
ejpam-6228	201	24	,	,	PUNCT
ejpam-6228	201	25	and	and	CCONJ
ejpam-6228	201	26	there	there	PRON
ejpam-6228	201	27	should	should	AUX
ejpam-6228	201	28	be	be	AUX
ejpam-6228	201	29	no	no	DET
ejpam-6228	201	30	predictable	predictable	ADJ
ejpam-6228	201	31	pattern	pattern	NOUN
ejpam-6228	201	32	of	of	ADP
ejpam-6228	201	33	any	any	DET
ejpam-6228	201	34	bit	bit	NOUN
ejpam-6228	201	35	.	.	PUNCT
ejpam-6228	202	1	by	by	ADP
ejpam-6228	202	2	applying	apply	VERB
ejpam-6228	202	3	modular343	modular343	PROPN
ejpam-6228	202	4	transformation	transformation	NOUN
ejpam-6228	202	5	and	and	CCONJ
ejpam-6228	202	6	affine	affine	NOUN
ejpam-6228	202	7	mappings	mapping	NOUN
ejpam-6228	202	8	to	to	ADP
ejpam-6228	202	9	the	the	DET
ejpam-6228	202	10	real	real	ADJ
ejpam-6228	202	11	part	part	NOUN
ejpam-6228	202	12	of	of	ADP
ejpam-6228	202	13	quaternion	quaternion	NOUN
ejpam-6228	202	14	elements	element	NOUN
ejpam-6228	202	15	,	,	PUNCT
ejpam-6228	202	16	the	the	DET
ejpam-6228	202	17	scalar	scalar	ADJ
ejpam-6228	202	18	s-344	s-344	NOUN
ejpam-6228	202	19	box	box	PROPN
ejpam-6228	202	20	is	be	AUX
ejpam-6228	202	21	designed	design	VERB
ejpam-6228	202	22	such	such	ADJ
ejpam-6228	202	23	that	that	SCONJ
ejpam-6228	202	24	each	each	DET
ejpam-6228	202	25	output	output	NOUN
ejpam-6228	202	26	bit	bit	NOUN
ejpam-6228	202	27	is	be	AUX
ejpam-6228	202	28	statistically	statistically	ADV
ejpam-6228	202	29	independent	independent	ADJ
ejpam-6228	202	30	.	.	PUNCT
ejpam-6228	203	1	on	on	ADP
ejpam-6228	203	2	the	the	DET
ejpam-6228	203	3	other	other	ADJ
ejpam-6228	203	4	hand,345	hand,345	PROPN
ejpam-6228	203	5	the	the	DET
ejpam-6228	203	6	vector	vector	PROPN
ejpam-6228	203	7	s	s	PROPN
ejpam-6228	203	8	box	box	NOUN
ejpam-6228	203	9	processes	process	VERB
ejpam-6228	203	10	the	the	DET
ejpam-6228	203	11	pure	pure	ADJ
ejpam-6228	203	12	quaternion	quaternion	NOUN
ejpam-6228	203	13	components	component	NOUN
ejpam-6228	203	14	separately	separately	ADV
ejpam-6228	203	15	using	use	VERB
ejpam-6228	203	16	different	different	ADJ
ejpam-6228	203	17	mod-346	mod-346	ADJ
ejpam-6228	203	18	ular	ular	ADJ
ejpam-6228	203	19	exponentiation	exponentiation	NOUN
ejpam-6228	203	20	and	and	CCONJ
ejpam-6228	203	21	rotation	rotation	NOUN
ejpam-6228	203	22	-	-	PUNCT
ejpam-6228	203	23	based	base	VERB
ejpam-6228	203	24	transformations	transformation	NOUN
ejpam-6228	203	25	to	to	PART
ejpam-6228	203	26	increase	increase	VERB
ejpam-6228	203	27	the	the	DET
ejpam-6228	203	28	unpredictability347	unpredictability347	PROPN
ejpam-6228	203	29	of	of	ADP
ejpam-6228	203	30	the	the	DET
ejpam-6228	203	31	output	output	NOUN
ejpam-6228	203	32	bits	bit	NOUN
ejpam-6228	203	33	.	.	PUNCT
ejpam-6228	204	1	we	we	PRON
ejpam-6228	204	2	compute	compute	VERB
ejpam-6228	204	3	the	the	DET
ejpam-6228	204	4	correlation	correlation	NOUN
ejpam-6228	204	5	between	between	ADP
ejpam-6228	204	6	pairs	pair	NOUN
ejpam-6228	204	7	of	of	ADP
ejpam-6228	204	8	output	output	NOUN
ejpam-6228	204	9	bits	bit	NOUN
ejpam-6228	204	10	and	and	CCONJ
ejpam-6228	204	11	find348	find348	PROPN
ejpam-6228	204	12	that	that	PRON
ejpam-6228	204	13	changes	change	VERB
ejpam-6228	204	14	in	in	ADP
ejpam-6228	204	15	one	one	NUM
ejpam-6228	204	16	bit	bit	NOUN
ejpam-6228	204	17	do	do	AUX
ejpam-6228	204	18	not	not	PART
ejpam-6228	204	19	affect	affect	VERB
ejpam-6228	204	20	the	the	DET
ejpam-6228	204	21	others	other	NOUN
ejpam-6228	204	22	in	in	ADP
ejpam-6228	204	23	a	a	DET
ejpam-6228	204	24	way	way	NOUN
ejpam-6228	204	25	that	that	PRON
ejpam-6228	204	26	is	be	AUX
ejpam-6228	204	27	predictable	predictable	ADJ
ejpam-6228	204	28	.	.	PUNCT
ejpam-6228	205	1	in	in	ADP
ejpam-6228	205	2	crypto-349	crypto-349	ADJ
ejpam-6228	205	3	graphic	graphic	ADJ
ejpam-6228	205	4	applications	application	NOUN
ejpam-6228	205	5	this	this	DET
ejpam-6228	205	6	bit	bit	NOUN
ejpam-6228	205	7	independence	independence	NOUN
ejpam-6228	205	8	property	property	NOUN
ejpam-6228	205	9	is	be	AUX
ejpam-6228	205	10	critical	critical	ADJ
ejpam-6228	205	11	,	,	PUNCT
ejpam-6228	205	12	since	since	SCONJ
ejpam-6228	205	13	the	the	DET
ejpam-6228	205	14	presence	presence	NOUN
ejpam-6228	205	15	of	of	ADP
ejpam-6228	205	16	such350	such350	PROPN
ejpam-6228	205	17	m.	m.	PROPN
ejpam-6228	205	18	sajjad	sajjad	PROPN
ejpam-6228	205	19	,	,	PUNCT
ejpam-6228	205	20	n.	n.	PROPN
ejpam-6228	205	21	a.	a.	NOUN
ejpam-6228	205	22	alqwaifly	alqwaifly	PROPN
ejpam-6228	205	23	/	/	SYM
ejpam-6228	205	24	eur	eur	PROPN
ejpam-6228	205	25	.	.	PUNCT
ejpam-6228	206	1	j.	j.	PROPN
ejpam-6228	206	2	pure	pure	PROPN
ejpam-6228	206	3	appl	appl	PROPN
ejpam-6228	206	4	.	.	PROPN
ejpam-6228	206	5	math	math	PROPN
ejpam-6228	206	6	,	,	PUNCT
ejpam-6228	206	7	18	18	NUM
ejpam-6228	206	8	(	(	PUNCT
ejpam-6228	206	9	2	2	NUM
ejpam-6228	206	10	)	)	PUNCT
ejpam-6228	206	11	(	(	PUNCT
ejpam-6228	206	12	2025	2025	NUM
ejpam-6228	206	13	)	)	PUNCT
ejpam-6228	206	14	,	,	PUNCT
ejpam-6228	206	15	6228	6228	NUM
ejpam-6228	206	16	12	12	NUM
ejpam-6228	206	17	of	of	ADP
ejpam-6228	206	18	35	35	NUM
ejpam-6228	206	19	table	table	NOUN
ejpam-6228	206	20	2	2	NUM
ejpam-6228	206	21	:	:	PUNCT
ejpam-6228	206	22	sv	sv	NOUN
ejpam-6228	206	23	over	over	ADP
ejpam-6228	206	24	the	the	DET
ejpam-6228	206	25	scalar	scalar	ADJ
ejpam-6228	206	26	part	part	NOUN
ejpam-6228	206	27	of	of	ADP
ejpam-6228	206	28	qi	qi	PROPN
ejpam-6228	206	29	60	60	NUM
ejpam-6228	206	30	207	207	NUM
ejpam-6228	206	31	156	156	NUM
ejpam-6228	206	32	2	2	NUM
ejpam-6228	206	33	172	172	NUM
ejpam-6228	206	34	106	106	NUM
ejpam-6228	206	35	48	48	NUM
ejpam-6228	206	36	18	18	NUM
ejpam-6228	206	37	87	87	NUM
ejpam-6228	206	38	56	56	NUM
ejpam-6228	206	39	242	242	NUM
ejpam-6228	206	40	145	145	NUM
ejpam-6228	206	41	34	34	NUM
ejpam-6228	206	42	129	129	NUM
ejpam-6228	206	43	71	71	NUM
ejpam-6228	206	44	30	30	NUM
ejpam-6228	206	45	185	185	NUM
ejpam-6228	206	46	199	199	NUM
ejpam-6228	206	47	162	162	NUM
ejpam-6228	206	48	140	140	NUM
ejpam-6228	206	49	84	84	NUM
ejpam-6228	206	50	28	28	NUM
ejpam-6228	206	51	190	190	NUM
ejpam-6228	206	52	51	51	NUM
ejpam-6228	206	53	148	148	NUM
ejpam-6228	206	54	41	41	NUM
ejpam-6228	206	55	252	252	NUM
ejpam-6228	206	56	31	31	NUM
ejpam-6228	206	57	194	194	NUM
ejpam-6228	206	58	68	68	NUM
ejpam-6228	206	59	94	94	NUM
ejpam-6228	206	60	47	47	NUM
ejpam-6228	206	61	116	116	NUM
ejpam-6228	206	62	219	219	NUM
ejpam-6228	206	63	78	78	NUM
ejpam-6228	206	64	4	4	NUM
ejpam-6228	206	65	16	16	NUM
ejpam-6228	206	66	122	122	NUM
ejpam-6228	206	67	244	244	NUM
ejpam-6228	206	68	15	15	NUM
ejpam-6228	206	69	251	251	NUM
ejpam-6228	206	70	224	224	NUM
ejpam-6228	206	71	182	182	NUM
ejpam-6228	206	72	12	12	NUM
ejpam-6228	206	73	89	89	NUM
ejpam-6228	206	74	255	255	NUM
ejpam-6228	206	75	204	204	NUM
ejpam-6228	206	76	46	46	NUM
ejpam-6228	206	77	157	157	NUM
ejpam-6228	206	78	58	58	NUM
ejpam-6228	206	79	55	55	NUM
ejpam-6228	206	80	22	22	NUM
ejpam-6228	206	81	107	107	NUM
ejpam-6228	206	82	150	150	NUM
ejpam-6228	206	83	210	210	NUM
ejpam-6228	206	84	131	131	NUM
ejpam-6228	206	85	33	33	NUM
ejpam-6228	206	86	111	111	NUM
ejpam-6228	206	87	159	159	NUM
ejpam-6228	206	88	133	133	NUM
ejpam-6228	206	89	113	113	NUM
ejpam-6228	206	90	90	90	NUM
ejpam-6228	206	91	176	176	NUM
ejpam-6228	206	92	62	62	NUM
ejpam-6228	206	93	104	104	NUM
ejpam-6228	206	94	246	246	NUM
ejpam-6228	206	95	24	24	NUM
ejpam-6228	206	96	119	119	NUM
ejpam-6228	206	97	247	247	NUM
ejpam-6228	206	98	43	43	NUM
ejpam-6228	206	99	205	205	NUM
ejpam-6228	206	100	6	6	NUM
ejpam-6228	206	101	66	66	NUM
ejpam-6228	206	102	235	235	NUM
ejpam-6228	206	103	5	5	NUM
ejpam-6228	206	104	127	127	NUM
ejpam-6228	206	105	211	211	NUM
ejpam-6228	206	106	239	239	NUM
ejpam-6228	206	107	42	42	NUM
ejpam-6228	206	108	67	67	NUM
ejpam-6228	206	109	138	138	NUM
ejpam-6228	206	110	254	254	NUM
ejpam-6228	206	111	57	57	NUM
ejpam-6228	206	112	243	243	NUM
ejpam-6228	206	113	142	142	NUM
ejpam-6228	206	114	149	149	NUM
ejpam-6228	206	115	98	98	NUM
ejpam-6228	206	116	233	233	NUM
ejpam-6228	206	117	212	212	NUM
ejpam-6228	206	118	117	117	NUM
ejpam-6228	206	119	110	110	NUM
ejpam-6228	206	120	203	203	NUM
ejpam-6228	206	121	175	175	NUM
ejpam-6228	206	122	74	74	NUM
ejpam-6228	206	123	91	91	NUM
ejpam-6228	206	124	9	9	NUM
ejpam-6228	206	125	220	220	NUM
ejpam-6228	206	126	69	69	NUM
ejpam-6228	206	127	213	213	NUM
ejpam-6228	206	128	21	21	NUM
ejpam-6228	206	129	228	228	NUM
ejpam-6228	206	130	125	125	NUM
ejpam-6228	206	131	121	121	NUM
ejpam-6228	206	132	161	161	NUM
ejpam-6228	206	133	183	183	NUM
ejpam-6228	206	134	178	178	NUM
ejpam-6228	206	135	177	177	NUM
ejpam-6228	206	136	36	36	NUM
ejpam-6228	206	137	64	64	NUM
ejpam-6228	206	138	118	118	NUM
ejpam-6228	206	139	171	171	NUM
ejpam-6228	206	140	146	146	NUM
ejpam-6228	206	141	112	112	NUM
ejpam-6228	206	142	236	236	NUM
ejpam-6228	206	143	160	160	NUM
ejpam-6228	206	144	44	44	NUM
ejpam-6228	206	145	192	192	NUM
ejpam-6228	206	146	230	230	NUM
ejpam-6228	206	147	39	39	NUM
ejpam-6228	206	148	109	109	NUM
ejpam-6228	206	149	79	79	NUM
ejpam-6228	206	150	250	250	NUM
ejpam-6228	206	151	196	196	NUM
ejpam-6228	206	152	209	209	NUM
ejpam-6228	206	153	218	218	NUM
ejpam-6228	206	154	197	197	NUM
ejpam-6228	206	155	123	123	NUM
ejpam-6228	206	156	17	17	NUM
ejpam-6228	206	157	144	144	NUM
ejpam-6228	206	158	70	70	NUM
ejpam-6228	206	159	124	124	NUM
ejpam-6228	206	160	53	53	NUM
ejpam-6228	206	161	11	11	NUM
ejpam-6228	206	162	217	217	NUM
ejpam-6228	206	163	54	54	NUM
ejpam-6228	206	164	96	96	NUM
ejpam-6228	206	165	40	40	NUM
ejpam-6228	206	166	23	23	NUM
ejpam-6228	206	167	141	141	NUM
ejpam-6228	206	168	25	25	NUM
ejpam-6228	206	169	132	132	NUM
ejpam-6228	206	170	100	100	NUM
ejpam-6228	206	171	195	195	NUM
ejpam-6228	206	172	114	114	NUM
ejpam-6228	206	173	179	179	NUM
ejpam-6228	206	174	88	88	NUM
ejpam-6228	206	175	0	0	NUM
ejpam-6228	206	176	76	76	NUM
ejpam-6228	206	177	80	80	NUM
ejpam-6228	206	178	137	137	NUM
ejpam-6228	206	179	136	136	NUM
ejpam-6228	206	180	73	73	NUM
ejpam-6228	206	181	7	7	NUM
ejpam-6228	206	182	215	215	NUM
ejpam-6228	206	183	231	231	NUM
ejpam-6228	206	184	92	92	NUM
ejpam-6228	206	185	139	139	NUM
ejpam-6228	206	186	101	101	NUM
ejpam-6228	206	187	184	184	NUM
ejpam-6228	206	188	45	45	NUM
ejpam-6228	206	189	216	216	NUM
ejpam-6228	206	190	225	225	NUM
ejpam-6228	206	191	61	61	NUM
ejpam-6228	206	192	241	241	NUM
ejpam-6228	206	193	81	81	NUM
ejpam-6228	206	194	134	134	NUM
ejpam-6228	206	195	169	169	NUM
ejpam-6228	206	196	10	10	NUM
ejpam-6228	206	197	14	14	NUM
ejpam-6228	206	198	164	164	NUM
ejpam-6228	206	199	77	77	NUM
ejpam-6228	206	200	188	188	NUM
ejpam-6228	206	201	143	143	NUM
ejpam-6228	206	202	32	32	NUM
ejpam-6228	206	203	158	158	NUM
ejpam-6228	206	204	168	168	NUM
ejpam-6228	206	205	49	49	NUM
ejpam-6228	206	206	180	180	NUM
ejpam-6228	206	207	83	83	NUM
ejpam-6228	206	208	13	13	NUM
ejpam-6228	206	209	82	82	NUM
ejpam-6228	206	210	97	97	NUM
ejpam-6228	206	211	38	38	NUM
ejpam-6228	206	212	93	93	NUM
ejpam-6228	206	213	193	193	NUM
ejpam-6228	206	214	240	240	NUM
ejpam-6228	206	215	120	120	NUM
ejpam-6228	206	216	253	253	NUM
ejpam-6228	206	217	50	50	NUM
ejpam-6228	206	218	206	206	NUM
ejpam-6228	206	219	37	37	NUM
ejpam-6228	206	220	187	187	NUM
ejpam-6228	206	221	152	152	NUM
ejpam-6228	206	222	226	226	NUM
ejpam-6228	206	223	201	201	NUM
ejpam-6228	206	224	20	20	NUM
ejpam-6228	206	225	75	75	NUM
ejpam-6228	206	226	8	8	NUM
ejpam-6228	206	227	229	229	NUM
ejpam-6228	206	228	163	163	NUM
ejpam-6228	206	229	3	3	NUM
ejpam-6228	206	230	249	249	NUM
ejpam-6228	206	231	173	173	NUM
ejpam-6228	206	232	170	170	NUM
ejpam-6228	206	233	135	135	NUM
ejpam-6228	206	234	186	186	NUM
ejpam-6228	206	235	237	237	NUM
ejpam-6228	206	236	27	27	NUM
ejpam-6228	206	237	63	63	NUM
ejpam-6228	206	238	86	86	NUM
ejpam-6228	206	239	221	221	NUM
ejpam-6228	206	240	232	232	NUM
ejpam-6228	206	241	130	130	NUM
ejpam-6228	206	242	174	174	NUM
ejpam-6228	206	243	85	85	NUM
ejpam-6228	206	244	208	208	NUM
ejpam-6228	206	245	198	198	NUM
ejpam-6228	206	246	245	245	NUM
ejpam-6228	206	247	72	72	NUM
ejpam-6228	206	248	99	99	NUM
ejpam-6228	206	249	189	189	NUM
ejpam-6228	206	250	52	52	NUM
ejpam-6228	206	251	126	126	NUM
ejpam-6228	206	252	19	19	NUM
ejpam-6228	206	253	103	103	NUM
ejpam-6228	206	254	1	1	NUM
ejpam-6228	206	255	115	115	NUM
ejpam-6228	206	256	59	59	NUM
ejpam-6228	206	257	166	166	NUM
ejpam-6228	206	258	26	26	NUM
ejpam-6228	206	259	102	102	NUM
ejpam-6228	206	260	234	234	NUM
ejpam-6228	206	261	200	200	NUM
ejpam-6228	206	262	227	227	NUM
ejpam-6228	206	263	222	222	NUM
ejpam-6228	206	264	248	248	NUM
ejpam-6228	206	265	147	147	NUM
ejpam-6228	206	266	65	65	NUM
ejpam-6228	206	267	153	153	NUM
ejpam-6228	206	268	165	165	NUM
ejpam-6228	206	269	214	214	NUM
ejpam-6228	206	270	29	29	NUM
ejpam-6228	206	271	154	154	NUM
ejpam-6228	206	272	191	191	NUM
ejpam-6228	206	273	202	202	NUM
ejpam-6228	206	274	128	128	NUM
ejpam-6228	206	275	151	151	NUM
ejpam-6228	206	276	167	167	NUM
ejpam-6228	206	277	155	155	NUM
ejpam-6228	206	278	181	181	NUM
ejpam-6228	206	279	95	95	NUM
ejpam-6228	206	280	238	238	NUM
ejpam-6228	206	281	223	223	NUM
ejpam-6228	206	282	105	105	NUM
ejpam-6228	206	283	35	35	NUM
ejpam-6228	206	284	108	108	NUM
ejpam-6228	206	285	table	table	NOUN
ejpam-6228	206	286	3	3	NUM
ejpam-6228	206	287	:	:	PUNCT
ejpam-6228	206	288	nl	nl	NOUN
ejpam-6228	206	289	of	of	ADP
ejpam-6228	206	290	the	the	DET
ejpam-6228	206	291	s	s	PROPN
ejpam-6228	206	292	-	-	PUNCT
ejpam-6228	206	293	box	box	NOUN
ejpam-6228	206	294	functions	function	NOUN
ejpam-6228	206	295	s	s	NOUN
ejpam-6228	206	296	-	-	PUNCT
ejpam-6228	206	297	boxes	box	NOUN
ejpam-6228	206	298	g1	g1	PROPN
ejpam-6228	206	299	g2	g2	PROPN
ejpam-6228	206	300	g3	g3	PROPN
ejpam-6228	206	301	g4	g4	PROPN
ejpam-6228	206	302	g5	g5	PROPN
ejpam-6228	206	303	g6	g6	ADJ
ejpam-6228	206	304	g7	g7	PROPN
ejpam-6228	206	305	g8	g8	PROPN
ejpam-6228	206	306	ss	ss	ADP
ejpam-6228	206	307	108.00	108.00	NUM
ejpam-6228	206	308	108.00	108.00	NUM
ejpam-6228	206	309	106.00	106.00	NUM
ejpam-6228	206	310	108.00	108.00	NUM
ejpam-6228	206	311	108.00	108.00	NUM
ejpam-6228	206	312	104.00	104.00	NUM
ejpam-6228	206	313	106.00	106.00	NUM
ejpam-6228	206	314	108.00	108.00	NUM
ejpam-6228	206	315	sv	sv	NOUN
ejpam-6228	206	316	108.00	108.00	NUM
ejpam-6228	206	317	108.00	108.00	NUM
ejpam-6228	206	318	106.00	106.00	NUM
ejpam-6228	206	319	108.00	108.00	NUM
ejpam-6228	206	320	108.00	108.00	NUM
ejpam-6228	206	321	104.00	104.00	NUM
ejpam-6228	206	322	106.00	106.00	NUM
ejpam-6228	206	323	108.00	108.00	NUM
ejpam-6228	206	324	an	an	DET
ejpam-6228	206	325	s	s	NOUN
ejpam-6228	206	326	-	-	PUNCT
ejpam-6228	206	327	box	box	NOUN
ejpam-6228	206	328	renders	render	VERB
ejpam-6228	206	329	the	the	DET
ejpam-6228	206	330	linear	linear	ADJ
ejpam-6228	206	331	correlations	correlation	NOUN
ejpam-6228	206	332	or	or	CCONJ
ejpam-6228	206	333	differential	differential	NOUN
ejpam-6228	206	334	trails	trail	NOUN
ejpam-6228	206	335	attacked	attack	VERB
ejpam-6228	206	336	useless	useless	ADJ
ejpam-6228	206	337	.	.	PUNCT
ejpam-6228	207	1	quaternion-351	quaternion-351	PROPN
ejpam-6228	207	2	based	base	VERB
ejpam-6228	207	3	s	s	NOUN
ejpam-6228	207	4	-	-	PUNCT
ejpam-6228	207	5	boxes	box	NOUN
ejpam-6228	207	6	,	,	PUNCT
ejpam-6228	207	7	due	due	ADP
ejpam-6228	207	8	to	to	ADP
ejpam-6228	207	9	independent	independent	ADJ
ejpam-6228	207	10	scalar	scalar	ADJ
ejpam-6228	207	11	and	and	CCONJ
ejpam-6228	207	12	vector	vector	NOUN
ejpam-6228	207	13	processes	process	NOUN
ejpam-6228	207	14	of	of	ADP
ejpam-6228	207	15	the	the	DET
ejpam-6228	207	16	scalar	scalar	ADJ
ejpam-6228	207	17	and	and	CCONJ
ejpam-6228	207	18	vector352	vector352	PROPN
ejpam-6228	207	19	parts	part	NOUN
ejpam-6228	207	20	,	,	PUNCT
ejpam-6228	207	21	spread	spread	VERB
ejpam-6228	207	22	bit	bit	NOUN
ejpam-6228	207	23	changes	change	NOUN
ejpam-6228	207	24	over	over	ADP
ejpam-6228	207	25	several	several	ADJ
ejpam-6228	207	26	dimensions	dimension	NOUN
ejpam-6228	207	27	,	,	PUNCT
ejpam-6228	207	28	and	and	CCONJ
ejpam-6228	207	29	their	their	PRON
ejpam-6228	207	30	complexity	complexity	NOUN
ejpam-6228	207	31	and	and	CCONJ
ejpam-6228	207	32	security	security	NOUN
ejpam-6228	207	33	are353	are353	PROPN
ejpam-6228	207	34	further	far	ADV
ejpam-6228	207	35	increased	increase	VERB
ejpam-6228	207	36	.	.	PUNCT
ejpam-6228	208	1	because	because	SCONJ
ejpam-6228	208	2	quaternions	quaternion	NOUN
ejpam-6228	208	3	are	be	AUX
ejpam-6228	208	4	inherently	inherently	ADV
ejpam-6228	208	5	multidimensional	multidimensional	ADJ
ejpam-6228	208	6	,	,	PUNCT
ejpam-6228	208	7	the	the	DET
ejpam-6228	208	8	bic	bic	NOUN
ejpam-6228	208	9	of	of	ADP
ejpam-6228	208	10	the354	the354	PROPN
ejpam-6228	208	11	patterns	pattern	NOUN
ejpam-6228	208	12	remains	remain	VERB
ejpam-6228	208	13	very	very	ADV
ejpam-6228	208	14	dispersed	disperse	VERB
ejpam-6228	208	15	among	among	ADP
ejpam-6228	208	16	bits	bit	NOUN
ejpam-6228	208	17	,	,	PUNCT
ejpam-6228	208	18	rendering	render	VERB
ejpam-6228	208	19	algebraic	algebraic	ADJ
ejpam-6228	208	20	and	and	CCONJ
ejpam-6228	208	21	statistical	statistical	ADJ
ejpam-6228	208	22	attacks	attack	NOUN
ejpam-6228	208	23	in-355	in-355	VERB
ejpam-6228	208	24	effective	effective	ADJ
ejpam-6228	208	25	.	.	PUNCT
ejpam-6228	209	1	the	the	DET
ejpam-6228	209	2	properties	property	NOUN
ejpam-6228	209	3	are	be	AUX
ejpam-6228	209	4	such	such	ADJ
ejpam-6228	209	5	that	that	SCONJ
ejpam-6228	209	6	quaternion	quaternion	NOUN
ejpam-6228	209	7	-	-	PUNCT
ejpam-6228	209	8	based	base	VERB
ejpam-6228	209	9	s	s	NOUN
ejpam-6228	209	10	-	-	PUNCT
ejpam-6228	209	11	boxes	box	NOUN
ejpam-6228	209	12	are	be	AUX
ejpam-6228	209	13	indeed	indeed	ADV
ejpam-6228	209	14	highly	highly	ADV
ejpam-6228	209	15	suited356	suited356	NOUN
ejpam-6228	209	16	for	for	ADP
ejpam-6228	209	17	cryptographic	cryptographic	ADJ
ejpam-6228	209	18	applications	application	NOUN
ejpam-6228	209	19	like	like	ADP
ejpam-6228	209	20	secure	secure	ADJ
ejpam-6228	209	21	encryption	encryption	NOUN
ejpam-6228	209	22	,	,	PUNCT
ejpam-6228	209	23	block	block	VERB
ejpam-6228	209	24	cipher	cipher	ADJ
ejpam-6228	209	25	design	design	NOUN
ejpam-6228	209	26	,	,	PUNCT
ejpam-6228	209	27	and	and	CCONJ
ejpam-6228	209	28	advanced357	advanced357	PROPN
ejpam-6228	209	29	data	data	PROPN
ejpam-6228	209	30	protection	protection	NOUN
ejpam-6228	209	31	mechanisms	mechanism	NOUN
ejpam-6228	209	32	[	[	X
ejpam-6228	209	33	12	12	NUM
ejpam-6228	209	34	,	,	PUNCT
ejpam-6228	209	35	13	13	NUM
ejpam-6228	209	36	,	,	PUNCT
ejpam-6228	209	37	17	17	NUM
ejpam-6228	209	38	]	]	PUNCT
ejpam-6228	209	39	.	.	PUNCT
ejpam-6228	210	1	part	part	NOUN
ejpam-6228	210	2	of	of	ADP
ejpam-6228	210	3	the	the	DET
ejpam-6228	210	4	proposed	propose	VERB
ejpam-6228	210	5	research	research	NOUN
ejpam-6228	210	6	of	of	ADP
ejpam-6228	210	7	bic	bic	PROPN
ejpam-6228	210	8	is	be	AUX
ejpam-6228	210	9	shown358	shown358	NOUN
ejpam-6228	210	10	in	in	ADP
ejpam-6228	210	11	tables	table	NOUN
ejpam-6228	210	12	5	5	NUM
ejpam-6228	210	13	,	,	PUNCT
ejpam-6228	210	14	6	6	NUM
ejpam-6228	210	15	,	,	PUNCT
ejpam-6228	210	16	and	and	CCONJ
ejpam-6228	210	17	7	7	NUM
ejpam-6228	210	18	,	,	PUNCT
ejpam-6228	210	19	which	which	PRON
ejpam-6228	210	20	present	present	VERB
ejpam-6228	210	21	the	the	DET
ejpam-6228	210	22	results	result	NOUN
ejpam-6228	210	23	and	and	CCONJ
ejpam-6228	210	24	comparative	comparative	ADJ
ejpam-6228	210	25	analysis	analysis	NOUN
ejpam-6228	210	26	of	of	ADP
ejpam-6228	210	27	the	the	DET
ejpam-6228	210	28	results359	results359	PROPN
ejpam-6228	210	29	table	table	NOUN
ejpam-6228	210	30	4	4	NUM
ejpam-6228	210	31	:	:	PUNCT
ejpam-6228	210	32	nl	nl	NOUN
ejpam-6228	210	33	of	of	ADP
ejpam-6228	210	34	the	the	DET
ejpam-6228	210	35	s	s	PROPN
ejpam-6228	210	36	-	-	PUNCT
ejpam-6228	210	37	box	box	NOUN
ejpam-6228	210	38	functions	function	NOUN
ejpam-6228	210	39	s	s	NOUN
ejpam-6228	210	40	-	-	PUNCT
ejpam-6228	210	41	boxes	box	NOUN
ejpam-6228	210	42	schemes	scheme	NOUN
ejpam-6228	210	43	nonlinearity	nonlinearity	NOUN
ejpam-6228	210	44	ss	ss	PROPN
ejpam-6228	210	45	proposed	propose	VERB
ejpam-6228	210	46	(	(	PUNCT
ejpam-6228	210	47	qi	qi	X
ejpam-6228	210	48	)	)	PUNCT
ejpam-6228	210	49	107.00	107.00	NUM
ejpam-6228	210	50	sv	sv	NOUN
ejpam-6228	210	51	proposed	propose	VERB
ejpam-6228	210	52	(	(	PUNCT
ejpam-6228	210	53	qi	qi	X
ejpam-6228	210	54	)	)	PUNCT
ejpam-6228	210	55	107.00	107.00	NUM
ejpam-6228	210	56	[	[	X
ejpam-6228	210	57	12	12	NUM
ejpam-6228	210	58	]	]	PUNCT
ejpam-6228	210	59	eisenstein	eisenstein	NOUN
ejpam-6228	210	60	integers	integer	VERB
ejpam-6228	210	61	106.75	106.75	NUM
ejpam-6228	210	62	[	[	X
ejpam-6228	210	63	17	17	NUM
ejpam-6228	210	64	]	]	PUNCT
ejpam-6228	210	65	elliptic	elliptic	ADJ
ejpam-6228	210	66	curve	curve	NOUN
ejpam-6228	210	67	104.00	104.00	NUM
ejpam-6228	210	68	[	[	X
ejpam-6228	210	69	3	3	NUM
ejpam-6228	210	70	]	]	SYM
ejpam-6228	210	71	chaotic	chaotic	ADJ
ejpam-6228	210	72	map	map	NOUN
ejpam-6228	211	1	104.70	104.70	NUM
ejpam-6228	211	2	[	[	SYM
ejpam-6228	211	3	5	5	NUM
ejpam-6228	211	4	]	]	X
ejpam-6228	211	5	gaussian	gaussian	ADJ
ejpam-6228	211	6	integers	integer	NOUN
ejpam-6228	211	7	106.50	106.50	NUM
ejpam-6228	211	8	m.	m.	NOUN
ejpam-6228	211	9	sajjad	sajjad	PROPN
ejpam-6228	211	10	,	,	PUNCT
ejpam-6228	211	11	n.	n.	PROPN
ejpam-6228	211	12	a.	a.	NOUN
ejpam-6228	211	13	alqwaifly	alqwaifly	PROPN
ejpam-6228	211	14	/	/	SYM
ejpam-6228	211	15	eur	eur	PROPN
ejpam-6228	211	16	.	.	PUNCT
ejpam-6228	212	1	j.	j.	PROPN
ejpam-6228	212	2	pure	pure	PROPN
ejpam-6228	212	3	appl	appl	PROPN
ejpam-6228	212	4	.	.	PROPN
ejpam-6228	212	5	math	math	PROPN
ejpam-6228	212	6	,	,	PUNCT
ejpam-6228	212	7	18	18	NUM
ejpam-6228	212	8	(	(	PUNCT
ejpam-6228	212	9	2	2	NUM
ejpam-6228	212	10	)	)	PUNCT
ejpam-6228	212	11	(	(	PUNCT
ejpam-6228	212	12	2025	2025	NUM
ejpam-6228	212	13	)	)	PUNCT
ejpam-6228	212	14	,	,	PUNCT
ejpam-6228	212	15	6228	6228	NUM
ejpam-6228	212	16	13	13	NUM
ejpam-6228	212	17	of	of	ADP
ejpam-6228	212	18	35	35	NUM
ejpam-6228	212	19	found	find	VERB
ejpam-6228	212	20	in	in	ADP
ejpam-6228	212	21	existing	exist	VERB
ejpam-6228	212	22	literature.360	literature.360	ADJ
ejpam-6228	212	23	table	table	NOUN
ejpam-6228	212	24	5	5	NUM
ejpam-6228	212	25	:	:	PUNCT
ejpam-6228	212	26	bic	bic	NOUN
ejpam-6228	212	27	of	of	ADP
ejpam-6228	212	28	ss	ss	PROPN
ejpam-6228	213	1	0.0	0.0	NUM
ejpam-6228	213	2	0.5371	0.5371	NUM
ejpam-6228	213	3	0.4785	0.4785	NUM
ejpam-6228	213	4	0.4980	0.4980	NUM
ejpam-6228	213	5	0.5020	0.5020	NUM
ejpam-6228	213	6	0.4922	0.4922	NUM
ejpam-6228	213	7	0.5000	0.5000	NUM
ejpam-6228	213	8	0.5137	0.5137	NUM
ejpam-6228	213	9	0.5371	0.5371	NUM
ejpam-6228	213	10	0.0	0.0	NUM
ejpam-6228	213	11	0.4844	0.4844	NUM
ejpam-6228	213	12	0.5332	0.5332	NUM
ejpam-6228	213	13	0.5020	0.5020	NUM
ejpam-6228	213	14	0.5156	0.5156	NUM
ejpam-6228	214	1	0.4902	0.4902	NUM
ejpam-6228	214	2	0.5000	0.5000	NUM
ejpam-6228	214	3	0.4785	0.4785	NUM
ejpam-6228	214	4	0.4844	0.4844	NUM
ejpam-6228	214	5	0.0	0.0	NUM
ejpam-6228	214	6	0.4824	0.4824	NUM
ejpam-6228	214	7	0.4883	0.4883	NUM
ejpam-6228	214	8	0.4922	0.4922	NUM
ejpam-6228	214	9	0.5137	0.5137	NUM
ejpam-6228	214	10	0.4902	0.4902	NUM
ejpam-6228	214	11	0.4980	0.4980	NUM
ejpam-6228	215	1	0.5332	0.5332	NUM
ejpam-6228	215	2	0.4824	0.4824	NUM
ejpam-6228	215	3	0.0	0.0	NUM
ejpam-6228	215	4	0.4805	0.4805	NUM
ejpam-6228	215	5	0.4863	0.4863	NUM
ejpam-6228	215	6	0.5117	0.5117	NUM
ejpam-6228	215	7	0.4980	0.4980	NUM
ejpam-6228	215	8	0.5020	0.5020	NUM
ejpam-6228	215	9	0.5020	0.5020	NUM
ejpam-6228	215	10	0.4883	0.4883	NUM
ejpam-6228	215	11	0.4805	0.4805	NUM
ejpam-6228	215	12	0.0	0.0	NUM
ejpam-6228	215	13	0.5039	0.5039	NUM
ejpam-6228	215	14	0.5020	0.5020	NUM
ejpam-6228	215	15	0.5059	0.5059	NUM
ejpam-6228	215	16	0.4922	0.4922	NUM
ejpam-6228	215	17	0.5156	0.5156	NUM
ejpam-6228	215	18	0.4922	0.4922	NUM
ejpam-6228	215	19	0.4863	0.4863	NUM
ejpam-6228	215	20	0.5039	0.5039	NUM
ejpam-6228	215	21	0.0	0.0	NUM
ejpam-6228	215	22	0.4824	0.4824	NUM
ejpam-6228	215	23	0.4980	0.4980	NUM
ejpam-6228	215	24	0.5000	0.5000	NUM
ejpam-6228	216	1	0.4902	0.4902	NUM
ejpam-6228	216	2	0.5137	0.5137	NUM
ejpam-6228	216	3	0.5117	0.5117	NUM
ejpam-6228	216	4	0.5020	0.5020	NUM
ejpam-6228	216	5	0.4824	0.4824	NUM
ejpam-6228	216	6	0.0	0.0	NUM
ejpam-6228	216	7	0.5000	0.5000	NUM
ejpam-6228	216	8	0.5137	0.5137	NUM
ejpam-6228	216	9	0.5000	0.5000	NUM
ejpam-6228	216	10	0.4902	0.4902	NUM
ejpam-6228	216	11	0.4980	0.4980	NUM
ejpam-6228	216	12	0.5059	0.5059	NUM
ejpam-6228	216	13	0.4980	0.4980	NUM
ejpam-6228	216	14	0.5000	0.5000	NUM
ejpam-6228	216	15	0.0	0.0	NUM
ejpam-6228	216	16	table	table	NOUN
ejpam-6228	216	17	6	6	NUM
ejpam-6228	216	18	:	:	PUNCT
ejpam-6228	216	19	bic	bic	PROPN
ejpam-6228	216	20	of	of	ADP
ejpam-6228	216	21	sv	sv	PROPN
ejpam-6228	216	22	0.0	0.0	NUM
ejpam-6228	216	23	0.5371	0.5371	NUM
ejpam-6228	216	24	0.4785	0.4785	NUM
ejpam-6228	216	25	0.4980	0.4980	NUM
ejpam-6228	216	26	0.5020	0.5020	NUM
ejpam-6228	216	27	0.4922	0.4922	NUM
ejpam-6228	216	28	0.5000	0.5000	NUM
ejpam-6228	216	29	0.5137	0.5137	NUM
ejpam-6228	216	30	0.5371	0.5371	NUM
ejpam-6228	216	31	0.0	0.0	NUM
ejpam-6228	216	32	0.4844	0.4844	NUM
ejpam-6228	216	33	0.5332	0.5332	NUM
ejpam-6228	216	34	0.5020	0.5020	NUM
ejpam-6228	216	35	0.5156	0.5156	NUM
ejpam-6228	216	36	0.4902	0.4902	NUM
ejpam-6228	216	37	0.5000	0.5000	NUM
ejpam-6228	216	38	0.4785	0.4785	NUM
ejpam-6228	216	39	0.4844	0.4844	NUM
ejpam-6228	216	40	0.0	0.0	NUM
ejpam-6228	216	41	0.4824	0.4824	NUM
ejpam-6228	216	42	0.4883	0.4883	NUM
ejpam-6228	216	43	0.4922	0.4922	NUM
ejpam-6228	216	44	0.5137	0.5137	NUM
ejpam-6228	216	45	0.4902	0.4902	NUM
ejpam-6228	216	46	0.4980	0.4980	NUM
ejpam-6228	216	47	0.5332	0.5332	NUM
ejpam-6228	216	48	0.4824	0.4824	NUM
ejpam-6228	216	49	0.0	0.0	NUM
ejpam-6228	216	50	0.4805	0.4805	NUM
ejpam-6228	216	51	0.4863	0.4863	NUM
ejpam-6228	216	52	0.5117	0.5117	NUM
ejpam-6228	216	53	0.4980	0.4980	NUM
ejpam-6228	216	54	0.5020	0.5020	NUM
ejpam-6228	216	55	0.5020	0.5020	NUM
ejpam-6228	216	56	0.4883	0.4883	NUM
ejpam-6228	216	57	0.4805	0.4805	NUM
ejpam-6228	216	58	0.0	0.0	NUM
ejpam-6228	216	59	0.5039	0.5039	NUM
ejpam-6228	216	60	0.5020	0.5020	NUM
ejpam-6228	216	61	0.5059	0.5059	NUM
ejpam-6228	216	62	0.4922	0.4922	NUM
ejpam-6228	216	63	0.5156	0.5156	NUM
ejpam-6228	216	64	0.4922	0.4922	NUM
ejpam-6228	216	65	0.4863	0.4863	NUM
ejpam-6228	216	66	0.5039	0.5039	NUM
ejpam-6228	216	67	0.0	0.0	NUM
ejpam-6228	216	68	0.4824	0.4824	NUM
ejpam-6228	216	69	0.4980	0.4980	NUM
ejpam-6228	216	70	0.5000	0.5000	NUM
ejpam-6228	217	1	0.4902	0.4902	NUM
ejpam-6228	217	2	0.5137	0.5137	NUM
ejpam-6228	217	3	0.5117	0.5117	NUM
ejpam-6228	217	4	0.5020	0.5020	NUM
ejpam-6228	217	5	0.4824	0.4824	NUM
ejpam-6228	217	6	0.0	0.0	NUM
ejpam-6228	217	7	0.5000	0.5000	NUM
ejpam-6228	217	8	0.5137	0.5137	NUM
ejpam-6228	217	9	0.5000	0.5000	NUM
ejpam-6228	217	10	0.4902	0.4902	NUM
ejpam-6228	217	11	0.4980	0.4980	NUM
ejpam-6228	217	12	0.5059	0.5059	NUM
ejpam-6228	217	13	0.4980	0.4980	NUM
ejpam-6228	217	14	0.5000	0.5000	NUM
ejpam-6228	217	15	0.0	0.0	NUM
ejpam-6228	217	16	table	table	NOUN
ejpam-6228	217	17	7	7	NUM
ejpam-6228	217	18	:	:	PUNCT
ejpam-6228	217	19	bic	bic	PROPN
ejpam-6228	217	20	of	of	ADP
ejpam-6228	217	21	sv	sv	PROPN
ejpam-6228	217	22	s	s	NOUN
ejpam-6228	217	23	-	-	PUNCT
ejpam-6228	217	24	boxes	box	NOUN
ejpam-6228	217	25	maximum	maximum	ADJ
ejpam-6228	217	26	minimum	minimum	ADJ
ejpam-6228	217	27	average	average	NOUN
ejpam-6228	217	28	ss	ss	NOUN
ejpam-6228	217	29	0.609	0.609	NUM
ejpam-6228	217	30	0.391	0.391	NUM
ejpam-6228	217	31	0.499	0.499	NUM
ejpam-6228	217	32	sv	sv	NOUN
ejpam-6228	217	33	0.609	0.609	NUM
ejpam-6228	217	34	0.391	0.391	NUM
ejpam-6228	217	35	0.499	0.499	NUM
ejpam-6228	217	36	[	[	X
ejpam-6228	217	37	12	12	NUM
ejpam-6228	217	38	]	]	PUNCT
ejpam-6228	217	39	0.625	0.625	NUM
ejpam-6228	217	40	0.391	0.391	NUM
ejpam-6228	217	41	0.502	0.502	NUM
ejpam-6228	217	42	[	[	X
ejpam-6228	217	43	17	17	NUM
ejpam-6228	217	44	]	]	PUNCT
ejpam-6228	217	45	0.543	0.543	NUM
ejpam-6228	217	46	0.473	0.473	NUM
ejpam-6228	217	47	0.503	0.503	NUM
ejpam-6228	217	48	[	[	X
ejpam-6228	217	49	13	13	NUM
ejpam-6228	217	50	]	]	SYM
ejpam-6228	217	51	0.609	0.609	NUM
ejpam-6228	217	52	0.375	0.375	NUM
ejpam-6228	217	53	0.505	0.505	NUM
ejpam-6228	217	54	4.3	4.3	NUM
ejpam-6228	217	55	.	.	PUNCT
ejpam-6228	218	1	strict	strict	ADJ
ejpam-6228	218	2	avalanche	avalanche	NOUN
ejpam-6228	218	3	criterion361	criterion361	PROPN
ejpam-6228	218	4	the	the	DET
ejpam-6228	218	5	strict	strict	ADJ
ejpam-6228	218	6	avalanche	avalanche	NOUN
ejpam-6228	218	7	criterion	criterion	NOUN
ejpam-6228	218	8	of	of	ADP
ejpam-6228	218	9	s	s	NOUN
ejpam-6228	218	10	-	-	NOUN
ejpam-6228	218	11	boxes	box	NOUN
ejpam-6228	218	12	over	over	ADP
ejpam-6228	218	13	quaternion	quaternion	NOUN
ejpam-6228	218	14	integers	integer	NOUN
ejpam-6228	218	15	is	be	AUX
ejpam-6228	218	16	a	a	DET
ejpam-6228	218	17	key	key	ADJ
ejpam-6228	218	18	property362	property362	PROPN
ejpam-6228	218	19	for	for	ADP
ejpam-6228	218	20	high	high	ADJ
ejpam-6228	218	21	diffusion	diffusion	NOUN
ejpam-6228	218	22	and	and	CCONJ
ejpam-6228	218	23	cryptographic	cryptographic	ADJ
ejpam-6228	218	24	attack	attack	NOUN
ejpam-6228	218	25	resistance	resistance	NOUN
ejpam-6228	218	26	.	.	PUNCT
ejpam-6228	219	1	for	for	SCONJ
ejpam-6228	219	2	the	the	DET
ejpam-6228	219	3	s	s	PROPN
ejpam-6228	219	4	-	-	NOUN
ejpam-6228	219	5	box	box	NOUN
ejpam-6228	219	6	to	to	PART
ejpam-6228	219	7	be	be	AUX
ejpam-6228	219	8	used	use	VERB
ejpam-6228	219	9	in	in	ADP
ejpam-6228	219	10	sac,363	sac,363	PROPN
ejpam-6228	219	11	the	the	DET
ejpam-6228	219	12	change	change	NOUN
ejpam-6228	219	13	from	from	ADP
ejpam-6228	219	14	the	the	DET
ejpam-6228	219	15	input	input	NOUN
ejpam-6228	219	16	,	,	PUNCT
ejpam-6228	219	17	as	as	ADV
ejpam-6228	219	18	tiny	tiny	ADJ
ejpam-6228	219	19	as	as	ADP
ejpam-6228	219	20	flipping	flip	VERB
ejpam-6228	219	21	a	a	DET
ejpam-6228	219	22	single	single	ADJ
ejpam-6228	219	23	bit	bit	NOUN
ejpam-6228	219	24	,	,	PUNCT
ejpam-6228	219	25	should	should	AUX
ejpam-6228	219	26	lead	lead	VERB
ejpam-6228	219	27	to	to	ADP
ejpam-6228	219	28	about	about	ADP
ejpam-6228	219	29	a	a	DET
ejpam-6228	219	30	50%364	50%364	NUM
ejpam-6228	219	31	change	change	NOUN
ejpam-6228	219	32	of	of	ADP
ejpam-6228	219	33	the	the	DET
ejpam-6228	219	34	output	output	NOUN
ejpam-6228	219	35	bits	bit	NOUN
ejpam-6228	219	36	;	;	PUNCT
ejpam-6228	219	37	i.e.	i.e.	X
ejpam-6228	219	38	,	,	PUNCT
ejpam-6228	219	39	it	it	PRON
ejpam-6228	219	40	should	should	AUX
ejpam-6228	219	41	be	be	AUX
ejpam-6228	219	42	highly	highly	ADV
ejpam-6228	219	43	unpredictable	unpredictable	ADJ
ejpam-6228	219	44	.	.	PUNCT
ejpam-6228	220	1	the	the	DET
ejpam-6228	220	2	real	real	ADJ
ejpam-6228	220	3	part	part	NOUN
ejpam-6228	220	4	of	of	ADP
ejpam-6228	220	5	quater-365	quater-365	NOUN
ejpam-6228	220	6	nion	nion	ADJ
ejpam-6228	220	7	elements	element	NOUN
ejpam-6228	220	8	is	be	AUX
ejpam-6228	220	9	applied	apply	VERB
ejpam-6228	220	10	to	to	ADP
ejpam-6228	220	11	the	the	DET
ejpam-6228	220	12	scalar	scalar	ADJ
ejpam-6228	220	13	s	s	NOUN
ejpam-6228	220	14	-	-	NOUN
ejpam-6228	220	15	box	box	NOUN
ejpam-6228	220	16	in	in	ADP
ejpam-6228	220	17	quaternion	quaternion	NOUN
ejpam-6228	220	18	-	-	PUNCT
ejpam-6228	220	19	based	base	VERB
ejpam-6228	220	20	scale	scale	NOUN
ejpam-6228	220	21	s	s	NOUN
ejpam-6228	220	22	-	-	PUNCT
ejpam-6228	220	23	box	box	NOUN
ejpam-6228	220	24	design	design	NOUN
ejpam-6228	220	25	by366	by366	NOUN
ejpam-6228	220	26	using	use	VERB
ejpam-6228	220	27	modular	modular	ADJ
ejpam-6228	220	28	transformations	transformation	NOUN
ejpam-6228	220	29	and	and	CCONJ
ejpam-6228	220	30	affine	affine	NOUN
ejpam-6228	220	31	mapping	mapping	NOUN
ejpam-6228	220	32	,	,	PUNCT
ejpam-6228	220	33	so	so	SCONJ
ejpam-6228	220	34	that	that	SCONJ
ejpam-6228	220	35	the	the	DET
ejpam-6228	220	36	scalar	scalar	ADJ
ejpam-6228	220	37	s	s	NOUN
ejpam-6228	220	38	-	-	PUNCT
ejpam-6228	220	39	box	box	NOUN
ejpam-6228	220	40	retains	retain	VERB
ejpam-6228	220	41	strong367	strong367	PROPN
ejpam-6228	220	42	avalanche	avalanche	NOUN
ejpam-6228	220	43	property	property	NOUN
ejpam-6228	220	44	in	in	ADP
ejpam-6228	220	45	the	the	DET
ejpam-6228	220	46	scalar	scalar	ADJ
ejpam-6228	220	47	domain	domain	NOUN
ejpam-6228	220	48	.	.	PUNCT
ejpam-6228	221	1	on	on	ADP
ejpam-6228	221	2	the	the	DET
ejpam-6228	221	3	contrary	contrary	NOUN
ejpam-6228	221	4	,	,	PUNCT
ejpam-6228	221	5	the	the	DET
ejpam-6228	221	6	vector	vector	NOUN
ejpam-6228	221	7	s	s	PROPN
ejpam-6228	221	8	-	-	PUNCT
ejpam-6228	221	9	box	box	NOUN
ejpam-6228	221	10	works	work	NOUN
ejpam-6228	221	11	on	on	ADP
ejpam-6228	221	12	the368	the368	PROPN
ejpam-6228	221	13	m.	m.	PROPN
ejpam-6228	221	14	sajjad	sajjad	PROPN
ejpam-6228	221	15	,	,	PUNCT
ejpam-6228	221	16	n.	n.	PROPN
ejpam-6228	221	17	a.	a.	NOUN
ejpam-6228	221	18	alqwaifly	alqwaifly	PROPN
ejpam-6228	221	19	/	/	SYM
ejpam-6228	221	20	eur	eur	PROPN
ejpam-6228	221	21	.	.	PUNCT
ejpam-6228	222	1	j.	j.	PROPN
ejpam-6228	222	2	pure	pure	PROPN
ejpam-6228	222	3	appl	appl	PROPN
ejpam-6228	222	4	.	.	PROPN
ejpam-6228	222	5	math	math	PROPN
ejpam-6228	222	6	,	,	PUNCT
ejpam-6228	222	7	18	18	NUM
ejpam-6228	222	8	(	(	PUNCT
ejpam-6228	222	9	2	2	NUM
ejpam-6228	222	10	)	)	PUNCT
ejpam-6228	222	11	(	(	PUNCT
ejpam-6228	222	12	2025	2025	NUM
ejpam-6228	222	13	)	)	PUNCT
ejpam-6228	222	14	,	,	PUNCT
ejpam-6228	222	15	6228	6228	NUM
ejpam-6228	222	16	14	14	NUM
ejpam-6228	222	17	of	of	ADP
ejpam-6228	222	18	35	35	NUM
ejpam-6228	222	19	independent	independent	ADJ
ejpam-6228	222	20	imagination	imagination	NOUN
ejpam-6228	222	21	component	component	NOUN
ejpam-6228	222	22	separately	separately	ADV
ejpam-6228	222	23	,	,	PUNCT
ejpam-6228	222	24	and	and	CCONJ
ejpam-6228	222	25	doing	do	VERB
ejpam-6228	222	26	so	so	ADV
ejpam-6228	222	27	independently	independently	ADV
ejpam-6228	222	28	of	of	ADP
ejpam-6228	222	29	its	its	PRON
ejpam-6228	222	30	trans-369	trans-369	NOUN
ejpam-6228	222	31	formations	formation	NOUN
ejpam-6228	222	32	,	,	PUNCT
ejpam-6228	222	33	such	such	ADJ
ejpam-6228	222	34	as	as	ADP
ejpam-6228	222	35	modular	modular	ADJ
ejpam-6228	222	36	exponentiation	exponentiation	NOUN
ejpam-6228	222	37	,	,	PUNCT
ejpam-6228	222	38	rotation	rotation	NOUN
ejpam-6228	222	39	-	-	PUNCT
ejpam-6228	222	40	based	base	VERB
ejpam-6228	222	41	diffusion	diffusion	NOUN
ejpam-6228	222	42	,	,	PUNCT
ejpam-6228	222	43	and	and	CCONJ
ejpam-6228	222	44	non	non	ADJ
ejpam-6228	222	45	-	-	ADJ
ejpam-6228	222	46	affine	affine	ADJ
ejpam-6228	222	47	per-370	per-370	NOUN
ejpam-6228	222	48	mutations	mutation	NOUN
ejpam-6228	222	49	,	,	PUNCT
ejpam-6228	222	50	in	in	ADP
ejpam-6228	222	51	order	order	NOUN
ejpam-6228	222	52	to	to	PART
ejpam-6228	222	53	maximize	maximize	VERB
ejpam-6228	222	54	the	the	DET
ejpam-6228	222	55	number	number	NOUN
ejpam-6228	222	56	of	of	ADP
ejpam-6228	222	57	bit	bit	NOUN
ejpam-6228	222	58	transitions	transition	NOUN
ejpam-6228	222	59	induced	induce	VERB
ejpam-6228	222	60	from	from	ADP
ejpam-6228	222	61	input	input	NOUN
ejpam-6228	222	62	changes.371	changes.371	ADV
ejpam-6228	222	63	the	the	DET
ejpam-6228	222	64	quaternion	quaternion	NOUN
ejpam-6228	222	65	structure	structure	NOUN
ejpam-6228	222	66	,	,	PUNCT
ejpam-6228	222	67	however	however	ADV
ejpam-6228	222	68	,	,	PUNCT
ejpam-6228	222	69	develops	develop	VERB
ejpam-6228	222	70	an	an	DET
ejpam-6228	222	71	inherent	inherent	ADJ
ejpam-6228	222	72	way	way	NOUN
ejpam-6228	222	73	of	of	ADP
ejpam-6228	222	74	enhancing	enhance	VERB
ejpam-6228	222	75	sac	sac	NOUN
ejpam-6228	222	76	compli-372	compli-372	NOUN
ejpam-6228	222	77	ance	ance	NOUN
ejpam-6228	222	78	due	due	ADP
ejpam-6228	222	79	to	to	ADP
ejpam-6228	222	80	multidimensional	multidimensional	ADJ
ejpam-6228	222	81	transformations	transformation	NOUN
ejpam-6228	222	82	encasing	encase	VERB
ejpam-6228	222	83	the	the	DET
ejpam-6228	222	84	effects	effect	NOUN
ejpam-6228	222	85	of	of	ADP
ejpam-6228	222	86	each	each	DET
ejpam-6228	222	87	single	single	ADJ
ejpam-6228	222	88	bit	bit	NOUN
ejpam-6228	222	89	flip373	flip373	NOUN
ejpam-6228	222	90	over	over	ADP
ejpam-6228	222	91	both	both	CCONJ
ejpam-6228	222	92	scalar	scalar	ADJ
ejpam-6228	222	93	and	and	CCONJ
ejpam-6228	222	94	vector	vector	NOUN
ejpam-6228	222	95	components	component	NOUN
ejpam-6228	222	96	,	,	PUNCT
ejpam-6228	222	97	resulting	result	VERB
ejpam-6228	222	98	in	in	ADP
ejpam-6228	222	99	a	a	DET
ejpam-6228	222	100	much	much	ADV
ejpam-6228	222	101	greater	great	ADJ
ejpam-6228	222	102	global	global	ADJ
ejpam-6228	222	103	flow	flow	NOUN
ejpam-6228	222	104	of	of	ADP
ejpam-6228	222	105	outputs.374	outputs.374	NOUN
ejpam-6228	222	106	this	this	DET
ejpam-6228	222	107	property	property	NOUN
ejpam-6228	222	108	greatly	greatly	ADV
ejpam-6228	222	109	contributes	contribute	VERB
ejpam-6228	222	110	to	to	ADP
ejpam-6228	222	111	security	security	NOUN
ejpam-6228	222	112	since	since	SCONJ
ejpam-6228	222	113	it	it	PRON
ejpam-6228	222	114	makes	make	VERB
ejpam-6228	222	115	it	it	PRON
ejpam-6228	222	116	impossible	impossible	ADJ
ejpam-6228	222	117	for	for	SCONJ
ejpam-6228	222	118	attackers	attacker	NOUN
ejpam-6228	222	119	to375	to375	PRON
ejpam-6228	222	120	establish	establish	VERB
ejpam-6228	222	121	predictable	predictable	ADJ
ejpam-6228	222	122	relationships	relationship	NOUN
ejpam-6228	222	123	between	between	ADP
ejpam-6228	222	124	input	input	NOUN
ejpam-6228	222	125	and	and	CCONJ
ejpam-6228	222	126	output	output	NOUN
ejpam-6228	222	127	values	value	NOUN
ejpam-6228	222	128	.	.	PUNCT
ejpam-6228	223	1	quaternion	quaternion	NOUN
ejpam-6228	223	2	-	-	PUNCT
ejpam-6228	223	3	based376	based376	PROPN
ejpam-6228	223	4	cryptographic	cryptographic	ADJ
ejpam-6228	223	5	systems	system	NOUN
ejpam-6228	223	6	are	be	AUX
ejpam-6228	223	7	said	say	VERB
ejpam-6228	223	8	to	to	PART
ejpam-6228	223	9	meet	meet	VERB
ejpam-6228	223	10	sac	sac	NOUN
ejpam-6228	223	11	requirements	requirement	NOUN
ejpam-6228	223	12	,	,	PUNCT
ejpam-6228	223	13	so	so	SCONJ
ejpam-6228	223	14	that	that	SCONJ
ejpam-6228	223	15	they	they	PRON
ejpam-6228	223	16	ensure	ensure	VERB
ejpam-6228	223	17	the	the	DET
ejpam-6228	223	18	scalar377	scalar377	PROPN
ejpam-6228	223	19	and	and	CCONJ
ejpam-6228	223	20	vector	vector	NOUN
ejpam-6228	223	21	s	s	NOUN
ejpam-6228	223	22	-	-	PUNCT
ejpam-6228	223	23	boxes	box	NOUN
ejpam-6228	223	24	are	be	AUX
ejpam-6228	223	25	resistant	resistant	ADJ
ejpam-6228	223	26	to	to	PART
ejpam-6228	223	27	differential	differential	VERB
ejpam-6228	223	28	and	and	CCONJ
ejpam-6228	223	29	linear	linear	ADJ
ejpam-6228	223	30	cryptanalysis	cryptanalysis	NOUN
ejpam-6228	223	31	and	and	CCONJ
ejpam-6228	223	32	therefore	therefore	ADV
ejpam-6228	223	33	are378	are378	PROPN
ejpam-6228	223	34	appropriate	appropriate	ADJ
ejpam-6228	223	35	cryptographic	cryptographic	ADJ
ejpam-6228	223	36	systems	system	NOUN
ejpam-6228	223	37	for	for	ADP
ejpam-6228	223	38	use	use	NOUN
ejpam-6228	223	39	in	in	ADP
ejpam-6228	223	40	encryption	encryption	NOUN
ejpam-6228	223	41	,	,	PUNCT
ejpam-6228	223	42	block	block	NOUN
ejpam-6228	223	43	ciphers	cipher	NOUN
ejpam-6228	223	44	,	,	PUNCT
ejpam-6228	223	45	and	and	CCONJ
ejpam-6228	223	46	other	other	ADJ
ejpam-6228	223	47	types379	types379	PROPN
ejpam-6228	223	48	of	of	ADP
ejpam-6228	223	49	advanced	advanced	ADJ
ejpam-6228	223	50	cryptographic	cryptographic	ADJ
ejpam-6228	223	51	systems	system	NOUN
ejpam-6228	223	52	[	[	X
ejpam-6228	223	53	12	12	NUM
ejpam-6228	223	54	,	,	PUNCT
ejpam-6228	223	55	13	13	NUM
ejpam-6228	223	56	,	,	PUNCT
ejpam-6228	223	57	17	17	NUM
ejpam-6228	223	58	]	]	PUNCT
ejpam-6228	223	59	.	.	PUNCT
ejpam-6228	224	1	tables	table	NOUN
ejpam-6228	224	2	8	8	NUM
ejpam-6228	224	3	,	,	PUNCT
ejpam-6228	224	4	9	9	NUM
ejpam-6228	224	5	and	and	CCONJ
ejpam-6228	224	6	10	10	NUM
ejpam-6228	224	7	compare	compare	VERB
ejpam-6228	224	8	the	the	DET
ejpam-6228	224	9	proposed380	proposed380	NUM
ejpam-6228	224	10	results	result	NOUN
ejpam-6228	224	11	to	to	ADP
ejpam-6228	224	12	existing	exist	VERB
ejpam-6228	224	13	literature	literature	NOUN
ejpam-6228	224	14	via	via	ADP
ejpam-6228	224	15	sac.381	sac.381	PROPN
ejpam-6228	224	16	table	table	NOUN
ejpam-6228	224	17	8	8	NUM
ejpam-6228	224	18	:	:	PUNCT
ejpam-6228	224	19	sac	sac	NOUN
ejpam-6228	224	20	of	of	ADP
ejpam-6228	224	21	ss	ss	NOUN
ejpam-6228	225	1	0.53125	0.53125	NUM
ejpam-6228	225	2	0.546875	0.546875	NUM
ejpam-6228	225	3	0.5	0.5	NUM
ejpam-6228	225	4	0.5625	0.5625	NUM
ejpam-6228	225	5	0.484375	0.484375	NUM
ejpam-6228	225	6	0.546875	0.546875	NUM
ejpam-6228	225	7	0.46875	0.46875	NUM
ejpam-6228	225	8	0.515625	0.515625	NUM
ejpam-6228	225	9	0.46875	0.46875	NUM
ejpam-6228	225	10	0.4375	0.4375	NUM
ejpam-6228	225	11	0.515625	0.515625	NUM
ejpam-6228	225	12	0.515625	0.515625	NUM
ejpam-6228	225	13	0.484375	0.484375	NUM
ejpam-6228	225	14	0.53125	0.53125	NUM
ejpam-6228	225	15	0.46875	0.46875	NUM
ejpam-6228	225	16	0.546875	0.546875	NUM
ejpam-6228	225	17	0.546875	0.546875	NUM
ejpam-6228	225	18	0.4375	0.4375	NUM
ejpam-6228	225	19	0.515625	0.515625	NUM
ejpam-6228	225	20	0.46875	0.46875	NUM
ejpam-6228	225	21	0.59375	0.59375	NUM
ejpam-6228	225	22	0.484375	0.484375	NUM
ejpam-6228	225	23	0.4375	0.4375	NUM
ejpam-6228	225	24	0.5	0.5	NUM
ejpam-6228	225	25	0.53125	0.53125	NUM
ejpam-6228	225	26	0.484375	0.484375	NUM
ejpam-6228	225	27	0.515625	0.515625	NUM
ejpam-6228	225	28	0.53125	0.53125	NUM
ejpam-6228	225	29	0.5	0.5	NUM
ejpam-6228	225	30	0.546875	0.546875	NUM
ejpam-6228	225	31	0.46875	0.46875	NUM
ejpam-6228	225	32	0.5	0.5	NUM
ejpam-6228	225	33	0.515625	0.515625	NUM
ejpam-6228	225	34	0.421875	0.421875	NUM
ejpam-6228	225	35	0.5	0.5	NUM
ejpam-6228	225	36	0.5625	0.5625	NUM
ejpam-6228	225	37	0.46875	0.46875	NUM
ejpam-6228	225	38	0.515625	0.515625	NUM
ejpam-6228	225	39	0.46875	0.46875	NUM
ejpam-6228	225	40	0.5	0.5	NUM
ejpam-6228	225	41	0.515625	0.515625	NUM
ejpam-6228	225	42	0.546875	0.546875	NUM
ejpam-6228	225	43	0.5	0.5	NUM
ejpam-6228	225	44	0.5	0.5	NUM
ejpam-6228	225	45	0.546875	0.546875	NUM
ejpam-6228	225	46	0.40625	0.40625	NUM
ejpam-6228	225	47	0.484375	0.484375	NUM
ejpam-6228	225	48	0.5	0.5	NUM
ejpam-6228	225	49	0.5625	0.5625	NUM
ejpam-6228	225	50	0.515625	0.515625	NUM
ejpam-6228	225	51	0.5625	0.5625	NUM
ejpam-6228	225	52	0.5	0.5	NUM
ejpam-6228	225	53	0.484375	0.484375	NUM
ejpam-6228	225	54	0.453125	0.453125	NUM
ejpam-6228	225	55	0.5	0.5	NUM
ejpam-6228	225	56	0.53125	0.53125	NUM
ejpam-6228	225	57	0.484375	0.484375	NUM
ejpam-6228	225	58	0.53125	0.53125	NUM
ejpam-6228	225	59	0.546875	0.546875	NUM
ejpam-6228	225	60	0.421875	0.421875	NUM
ejpam-6228	225	61	0.53125	0.53125	NUM
ejpam-6228	225	62	0.53125	0.53125	NUM
ejpam-6228	225	63	0.453125	0.453125	NUM
ejpam-6228	225	64	0.46875	0.46875	NUM
ejpam-6228	225	65	table	table	NOUN
ejpam-6228	225	66	9	9	NUM
ejpam-6228	225	67	:	:	PUNCT
ejpam-6228	225	68	sac	sac	NOUN
ejpam-6228	225	69	of	of	ADP
ejpam-6228	225	70	sv	sv	NOUN
ejpam-6228	225	71	0.53125	0.53125	NUM
ejpam-6228	225	72	0.546875	0.546875	NUM
ejpam-6228	225	73	0.5	0.5	NUM
ejpam-6228	225	74	0.5625	0.5625	NUM
ejpam-6228	225	75	0.484375	0.484375	NUM
ejpam-6228	225	76	0.546875	0.546875	NUM
ejpam-6228	225	77	0.46875	0.46875	NUM
ejpam-6228	225	78	0.515625	0.515625	NUM
ejpam-6228	225	79	0.46875	0.46875	NUM
ejpam-6228	225	80	0.4375	0.4375	NUM
ejpam-6228	225	81	0.515625	0.515625	NUM
ejpam-6228	225	82	0.515625	0.515625	NUM
ejpam-6228	225	83	0.484375	0.484375	NUM
ejpam-6228	226	1	0.53125	0.53125	NUM
ejpam-6228	226	2	0.46875	0.46875	NUM
ejpam-6228	226	3	0.546875	0.546875	NUM
ejpam-6228	226	4	0.546875	0.546875	NUM
ejpam-6228	226	5	0.4375	0.4375	NUM
ejpam-6228	226	6	0.515625	0.515625	NUM
ejpam-6228	226	7	0.46875	0.46875	NUM
ejpam-6228	226	8	0.59375	0.59375	NUM
ejpam-6228	226	9	0.484375	0.484375	NUM
ejpam-6228	226	10	0.4375	0.4375	NUM
ejpam-6228	226	11	0.5	0.5	NUM
ejpam-6228	226	12	0.53125	0.53125	NUM
ejpam-6228	226	13	0.484375	0.484375	NUM
ejpam-6228	226	14	0.515625	0.515625	NUM
ejpam-6228	226	15	0.53125	0.53125	NUM
ejpam-6228	226	16	0.5	0.5	NUM
ejpam-6228	226	17	0.546875	0.546875	NUM
ejpam-6228	226	18	0.46875	0.46875	NUM
ejpam-6228	226	19	0.5	0.5	NUM
ejpam-6228	226	20	0.515625	0.515625	NUM
ejpam-6228	226	21	0.421875	0.421875	NUM
ejpam-6228	226	22	0.5	0.5	NUM
ejpam-6228	226	23	0.5625	0.5625	NUM
ejpam-6228	226	24	0.46875	0.46875	NUM
ejpam-6228	226	25	0.515625	0.515625	NUM
ejpam-6228	226	26	0.46875	0.46875	NUM
ejpam-6228	226	27	0.5	0.5	NUM
ejpam-6228	226	28	0.515625	0.515625	NUM
ejpam-6228	226	29	0.546875	0.546875	NUM
ejpam-6228	226	30	0.5	0.5	NUM
ejpam-6228	226	31	0.5	0.5	NUM
ejpam-6228	226	32	0.546875	0.546875	NUM
ejpam-6228	226	33	0.40625	0.40625	NUM
ejpam-6228	226	34	0.484375	0.484375	NUM
ejpam-6228	226	35	0.5	0.5	NUM
ejpam-6228	226	36	0.5625	0.5625	NUM
ejpam-6228	226	37	0.515625	0.515625	NUM
ejpam-6228	226	38	0.5625	0.5625	NUM
ejpam-6228	226	39	0.5	0.5	NUM
ejpam-6228	226	40	0.484375	0.484375	NUM
ejpam-6228	226	41	0.453125	0.453125	NUM
ejpam-6228	226	42	0.5	0.5	NUM
ejpam-6228	226	43	0.53125	0.53125	NUM
ejpam-6228	226	44	0.484375	0.484375	NUM
ejpam-6228	226	45	0.53125	0.53125	NUM
ejpam-6228	226	46	0.546875	0.546875	NUM
ejpam-6228	226	47	0.421875	0.421875	NUM
ejpam-6228	226	48	0.53125	0.53125	NUM
ejpam-6228	226	49	0.53125	0.53125	NUM
ejpam-6228	226	50	0.453125	0.453125	NUM
ejpam-6228	226	51	0.46875	0.46875	NUM
ejpam-6228	226	52	4.4	4.4	NUM
ejpam-6228	226	53	.	.	PUNCT
ejpam-6228	227	1	linear	linear	ADJ
ejpam-6228	227	2	approximation	approximation	NOUN
ejpam-6228	227	3	probability382	probability382	PROPN
ejpam-6228	227	4	linear	linear	PROPN
ejpam-6228	227	5	approximation	approximation	NOUN
ejpam-6228	227	6	probability	probability	NOUN
ejpam-6228	227	7	(	(	PUNCT
ejpam-6228	227	8	lap	lap	NOUN
ejpam-6228	227	9	)	)	PUNCT
ejpam-6228	227	10	of	of	ADP
ejpam-6228	227	11	s	s	NOUN
ejpam-6228	227	12	-	-	NOUN
ejpam-6228	227	13	boxes	box	NOUN
ejpam-6228	227	14	over	over	ADP
ejpam-6228	227	15	quaternion	quaternion	NOUN
ejpam-6228	227	16	integers	integer	NOUN
ejpam-6228	227	17	over383	over383	PART
ejpam-6228	227	18	scalar	scalar	ADJ
ejpam-6228	227	19	and	and	CCONJ
ejpam-6228	227	20	vector	vector	NOUN
ejpam-6228	227	21	domains	domain	NOUN
ejpam-6228	227	22	separately	separately	ADV
ejpam-6228	227	23	is	be	AUX
ejpam-6228	227	24	an	an	DET
ejpam-6228	227	25	important	important	ADJ
ejpam-6228	227	26	measure	measure	NOUN
ejpam-6228	227	27	to	to	PART
ejpam-6228	227	28	resist	resist	VERB
ejpam-6228	227	29	linear	linear	NOUN
ejpam-6228	227	30	cryptanalysis384	cryptanalysis384	PROPN
ejpam-6228	227	31	such	such	ADJ
ejpam-6228	227	32	that	that	SCONJ
ejpam-6228	227	33	the	the	DET
ejpam-6228	227	34	linear	linear	PROPN
ejpam-6228	227	35	relation	relation	NOUN
ejpam-6228	227	36	between	between	ADP
ejpam-6228	227	37	input	input	NOUN
ejpam-6228	227	38	and	and	CCONJ
ejpam-6228	227	39	output	output	NOUN
ejpam-6228	227	40	bits	bit	NOUN
ejpam-6228	227	41	is	be	AUX
ejpam-6228	227	42	not	not	PART
ejpam-6228	227	43	easily	easily	ADV
ejpam-6228	227	44	exploitable.385	exploitable.385	VERB
ejpam-6228	227	45	another	another	DET
ejpam-6228	227	46	thing	thing	NOUN
ejpam-6228	227	47	is	be	AUX
ejpam-6228	227	48	the	the	DET
ejpam-6228	227	49	efficiency	efficiency	NOUN
ejpam-6228	227	50	of	of	ADP
ejpam-6228	227	51	the	the	DET
ejpam-6228	227	52	attacks	attack	NOUN
ejpam-6228	227	53	—	—	PUNCT
ejpam-6228	227	54	the	the	PRON
ejpam-6228	227	55	lower	low	ADJ
ejpam-6228	227	56	the	the	DET
ejpam-6228	227	57	lap	lap	NOUN
ejpam-6228	227	58	value	value	NOUN
ejpam-6228	227	59	,	,	PUNCT
ejpam-6228	227	60	the	the	DET
ejpam-6228	227	61	higher	high	ADJ
ejpam-6228	227	62	the386	the386	ADJ
ejpam-6228	227	63	probability	probability	NOUN
ejpam-6228	227	64	that	that	SCONJ
ejpam-6228	227	65	no	no	DET
ejpam-6228	227	66	linear	linear	ADJ
ejpam-6228	227	67	equation	equation	NOUN
ejpam-6228	227	68	will	will	AUX
ejpam-6228	227	69	fit	fit	VERB
ejpam-6228	227	70	the	the	DET
ejpam-6228	227	71	s	s	NOUN
ejpam-6228	227	72	-	-	NOUN
ejpam-6228	227	73	box	box	NOUN
ejpam-6228	227	74	accurately	accurately	ADV
ejpam-6228	227	75	;	;	PUNCT
ejpam-6228	227	76	therefore	therefore	ADV
ejpam-6228	227	77	,	,	PUNCT
ejpam-6228	227	78	the	the	DET
ejpam-6228	227	79	attacks387	attacks387	PROPN
ejpam-6228	227	80	m.	m.	NOUN
ejpam-6228	227	81	sajjad	sajjad	PROPN
ejpam-6228	227	82	,	,	PUNCT
ejpam-6228	227	83	n.	n.	PROPN
ejpam-6228	227	84	a.	a.	NOUN
ejpam-6228	227	85	alqwaifly	alqwaifly	PROPN
ejpam-6228	227	86	/	/	SYM
ejpam-6228	227	87	eur	eur	PROPN
ejpam-6228	227	88	.	.	PUNCT
ejpam-6228	228	1	j.	j.	PROPN
ejpam-6228	228	2	pure	pure	PROPN
ejpam-6228	228	3	appl	appl	PROPN
ejpam-6228	228	4	.	.	PROPN
ejpam-6228	228	5	math	math	PROPN
ejpam-6228	228	6	,	,	PUNCT
ejpam-6228	228	7	18	18	NUM
ejpam-6228	228	8	(	(	PUNCT
ejpam-6228	228	9	2	2	NUM
ejpam-6228	228	10	)	)	PUNCT
ejpam-6228	228	11	(	(	PUNCT
ejpam-6228	228	12	2025	2025	NUM
ejpam-6228	228	13	)	)	PUNCT
ejpam-6228	228	14	,	,	PUNCT
ejpam-6228	228	15	6228	6228	NUM
ejpam-6228	228	16	15	15	NUM
ejpam-6228	228	17	of	of	ADP
ejpam-6228	228	18	35	35	NUM
ejpam-6228	228	19	table	table	NOUN
ejpam-6228	228	20	10	10	NUM
ejpam-6228	228	21	:	:	PUNCT
ejpam-6228	228	22	sac	sac	VERB
ejpam-6228	228	23	comparison	comparison	NOUN
ejpam-6228	228	24	s	s	NOUN
ejpam-6228	228	25	-	-	PUNCT
ejpam-6228	228	26	boxes	box	NOUN
ejpam-6228	228	27	maximum	maximum	ADJ
ejpam-6228	228	28	minimum	minimum	ADJ
ejpam-6228	228	29	average	average	NOUN
ejpam-6228	228	30	ss	ss	NOUN
ejpam-6228	228	31	0.594	0.594	NUM
ejpam-6228	228	32	0.406	0.406	NUM
ejpam-6228	228	33	0.503	0.503	NUM
ejpam-6228	228	34	sv	sv	PROPN
ejpam-6228	228	35	0.594	0.594	NUM
ejpam-6228	228	36	0.406	0.406	NUM
ejpam-6228	228	37	0.503	0.503	NUM
ejpam-6228	229	1	[	[	X
ejpam-6228	229	2	12	12	NUM
ejpam-6228	229	3	]	]	PUNCT
ejpam-6228	229	4	0.578	0.578	NUM
ejpam-6228	229	5	0.375	0.375	NUM
ejpam-6228	229	6	0.502	0.502	NUM
ejpam-6228	229	7	[	[	X
ejpam-6228	229	8	17	17	NUM
ejpam-6228	229	9	]	]	PUNCT
ejpam-6228	229	10	0.610	0.610	NUM
ejpam-6228	229	11	0.422	0.422	NUM
ejpam-6228	229	12	0.516	0.516	NUM
ejpam-6228	230	1	[	[	X
ejpam-6228	230	2	13	13	NUM
ejpam-6228	230	3	]	]	PUNCT
ejpam-6228	230	4	0.594	0.594	NUM
ejpam-6228	230	5	0.406	0.406	NUM
ejpam-6228	230	6	0.504	0.504	NUM
ejpam-6228	230	7	remain	remain	VERB
ejpam-6228	230	8	ineffectual	ineffectual	ADJ
ejpam-6228	230	9	.	.	PUNCT
ejpam-6228	231	1	in	in	ADP
ejpam-6228	231	2	quaternion	quaternion	NOUN
ejpam-6228	231	3	-	-	PUNCT
ejpam-6228	231	4	based	base	VERB
ejpam-6228	231	5	s	s	PROPN
ejpam-6228	231	6	-	-	PUNCT
ejpam-6228	231	7	box	box	NOUN
ejpam-6228	231	8	construction	construction	NOUN
ejpam-6228	231	9	,	,	PUNCT
ejpam-6228	231	10	the	the	DET
ejpam-6228	231	11	scalar	scalar	ADJ
ejpam-6228	231	12	s	s	NOUN
ejpam-6228	231	13	-	-	PUNCT
ejpam-6228	231	14	box	box	NOUN
ejpam-6228	231	15	is	be	AUX
ejpam-6228	231	16	designed388	designed388	NUM
ejpam-6228	231	17	by	by	ADP
ejpam-6228	231	18	doing	do	VERB
ejpam-6228	231	19	modular	modular	ADJ
ejpam-6228	231	20	arithmetic	arithmetic	ADJ
ejpam-6228	231	21	and	and	CCONJ
ejpam-6228	231	22	doing	do	VERB
ejpam-6228	231	23	affine	affine	NOUN
ejpam-6228	231	24	transformation	transformation	NOUN
ejpam-6228	231	25	on	on	ADP
ejpam-6228	231	26	the	the	DET
ejpam-6228	231	27	real	real	ADJ
ejpam-6228	231	28	part	part	NOUN
ejpam-6228	231	29	of	of	ADP
ejpam-6228	231	30	the389	the389	PROPN
ejpam-6228	231	31	quaternion	quaternion	NOUN
ejpam-6228	231	32	so	so	SCONJ
ejpam-6228	231	33	that	that	SCONJ
ejpam-6228	231	34	the	the	DET
ejpam-6228	231	35	correlations	correlation	NOUN
ejpam-6228	231	36	between	between	ADP
ejpam-6228	231	37	input	input	NOUN
ejpam-6228	231	38	and	and	CCONJ
ejpam-6228	231	39	output	output	NOUN
ejpam-6228	231	40	are	be	AUX
ejpam-6228	231	41	still	still	ADV
ejpam-6228	231	42	nonlinear	nonlinear	ADJ
ejpam-6228	231	43	.	.	PUNCT
ejpam-6228	232	1	to390	to390	NOUN
ejpam-6228	232	2	further	far	ADV
ejpam-6228	232	3	reduce	reduce	VERB
ejpam-6228	232	4	the	the	DET
ejpam-6228	232	5	linear	linear	ADJ
ejpam-6228	232	6	dependencies	dependency	NOUN
ejpam-6228	232	7	,	,	PUNCT
ejpam-6228	232	8	the	the	DET
ejpam-6228	232	9	imaginary	imaginary	ADJ
ejpam-6228	232	10	components	component	NOUN
ejpam-6228	232	11	are	be	AUX
ejpam-6228	232	12	transformed	transform	VERB
ejpam-6228	232	13	through391	through391	PROPN
ejpam-6228	232	14	independent	independent	ADJ
ejpam-6228	232	15	transformations	transformation	NOUN
ejpam-6228	232	16	like	like	ADP
ejpam-6228	232	17	modular	modular	ADJ
ejpam-6228	232	18	exponentiation	exponentiation	NOUN
ejpam-6228	232	19	and	and	CCONJ
ejpam-6228	232	20	rotation	rotation	NOUN
ejpam-6228	232	21	-	-	PUNCT
ejpam-6228	232	22	based	base	VERB
ejpam-6228	232	23	diffusion	diffusion	NOUN
ejpam-6228	232	24	,	,	PUNCT
ejpam-6228	232	25	as392	as392	PROPN
ejpam-6228	232	26	well	well	ADV
ejpam-6228	232	27	as	as	ADP
ejpam-6228	232	28	non	non	ADJ
ejpam-6228	232	29	-	-	ADJ
ejpam-6228	232	30	affine	affine	ADJ
ejpam-6228	232	31	mappings	mapping	NOUN
ejpam-6228	232	32	using	use	VERB
ejpam-6228	232	33	vector	vector	NOUN
ejpam-6228	232	34	sboxes	sboxe	NOUN
ejpam-6228	232	35	.	.	PUNCT
ejpam-6228	233	1	the	the	DET
ejpam-6228	233	2	nonlinearity	nonlinearity	NOUN
ejpam-6228	233	3	of	of	ADP
ejpam-6228	233	4	s	s	NOUN
ejpam-6228	233	5	-	-	PUNCT
ejpam-6228	233	6	boxes	box	NOUN
ejpam-6228	233	7	is	be	AUX
ejpam-6228	233	8	naturally393	naturally393	PROPN
ejpam-6228	233	9	improved	improve	VERB
ejpam-6228	233	10	using	use	VERB
ejpam-6228	233	11	a	a	DET
ejpam-6228	233	12	quaternion	quaternion	NOUN
ejpam-6228	233	13	structure	structure	NOUN
ejpam-6228	233	14	,	,	PUNCT
ejpam-6228	233	15	where	where	SCONJ
ejpam-6228	233	16	the	the	DET
ejpam-6228	233	17	sweeping	sweeping	ADJ
ejpam-6228	233	18	transformations	transformation	NOUN
ejpam-6228	233	19	over	over	ADP
ejpam-6228	233	20	multiple394	multiple394	PROPN
ejpam-6228	233	21	dimensions	dimension	NOUN
ejpam-6228	233	22	increase	increase	VERB
ejpam-6228	233	23	the	the	DET
ejpam-6228	233	24	degree	degree	NOUN
ejpam-6228	233	25	of	of	ADP
ejpam-6228	233	26	randomness	randomness	NOUN
ejpam-6228	233	27	in	in	ADP
ejpam-6228	233	28	the	the	DET
ejpam-6228	233	29	linearity	linearity	NOUN
ejpam-6228	233	30	of	of	ADP
ejpam-6228	233	31	the	the	DET
ejpam-6228	233	32	approximation	approximation	NOUN
ejpam-6228	233	33	.	.	PUNCT
ejpam-6228	234	1	an395	an395	PROPN
ejpam-6228	234	2	overall	overall	ADJ
ejpam-6228	234	3	cryptographic	cryptographic	ADJ
ejpam-6228	234	4	system	system	NOUN
ejpam-6228	234	5	is	be	AUX
ejpam-6228	234	6	ensured	ensure	VERB
ejpam-6228	234	7	of	of	ADP
ejpam-6228	234	8	stronger	strong	ADJ
ejpam-6228	234	9	security	security	NOUN
ejpam-6228	234	10	through	through	ADP
ejpam-6228	234	11	the	the	DET
ejpam-6228	234	12	low	low	ADJ
ejpam-6228	234	13	lap	lap	NOUN
ejpam-6228	234	14	of	of	ADP
ejpam-6228	234	15	the396	the396	PROPN
ejpam-6228	234	16	scalar	scalar	NOUN
ejpam-6228	234	17	and	and	CCONJ
ejpam-6228	234	18	vector	vector	NOUN
ejpam-6228	234	19	s	s	NOUN
ejpam-6228	234	20	-	-	PUNCT
ejpam-6228	234	21	boxes	box	NOUN
ejpam-6228	234	22	,	,	PUNCT
ejpam-6228	234	23	which	which	PRON
ejpam-6228	234	24	helps	help	VERB
ejpam-6228	234	25	resist	resist	VERB
ejpam-6228	234	26	the	the	DET
ejpam-6228	234	27	linear	linear	ADJ
ejpam-6228	234	28	cryptanalysis	cryptanalysis	NOUN
ejpam-6228	234	29	.	.	PUNCT
ejpam-6228	235	1	that	that	PRON
ejpam-6228	235	2	being	be	AUX
ejpam-6228	235	3	said,397	said,397	ADJ
ejpam-6228	235	4	s	s	NOUN
ejpam-6228	235	5	-	-	PUNCT
ejpam-6228	235	6	boxes	box	NOUN
ejpam-6228	235	7	based	base	VERB
ejpam-6228	235	8	on	on	ADP
ejpam-6228	235	9	quaternions	quaternion	NOUN
ejpam-6228	235	10	have	have	VERB
ejpam-6228	235	11	a	a	DET
ejpam-6228	235	12	high	high	ADJ
ejpam-6228	235	13	suitability	suitability	NOUN
ejpam-6228	235	14	in	in	ADP
ejpam-6228	235	15	encryption	encryption	NOUN
ejpam-6228	235	16	schemes	scheme	NOUN
ejpam-6228	235	17	,	,	PUNCT
ejpam-6228	235	18	block	block	NOUN
ejpam-6228	235	19	ciphers,398	ciphers,398	NOUN
ejpam-6228	235	20	and	and	CCONJ
ejpam-6228	235	21	other	other	ADJ
ejpam-6228	235	22	cryptographic	cryptographic	ADJ
ejpam-6228	235	23	applications	application	NOUN
ejpam-6228	235	24	that	that	PRON
ejpam-6228	235	25	utilize	utilize	VERB
ejpam-6228	235	26	those	those	DET
ejpam-6228	235	27	characteristics	characteristic	NOUN
ejpam-6228	235	28	to	to	PART
ejpam-6228	235	29	keep	keep	VERB
ejpam-6228	235	30	the	the	DET
ejpam-6228	235	31	data399	data399	NOUN
ejpam-6228	235	32	safe	safe	ADJ
ejpam-6228	235	33	[	[	X
ejpam-6228	235	34	12	12	NUM
ejpam-6228	235	35	,	,	PUNCT
ejpam-6228	235	36	13	13	NUM
ejpam-6228	235	37	,	,	PUNCT
ejpam-6228	235	38	17	17	NUM
ejpam-6228	235	39	]	]	PUNCT
ejpam-6228	235	40	.	.	PUNCT
ejpam-6228	236	1	table	table	NOUN
ejpam-6228	236	2	11	11	NUM
ejpam-6228	236	3	is	be	AUX
ejpam-6228	236	4	the	the	DET
ejpam-6228	236	5	comparison	comparison	NOUN
ejpam-6228	236	6	between	between	ADP
ejpam-6228	236	7	the	the	DET
ejpam-6228	236	8	proposed	propose	VERB
ejpam-6228	236	9	work	work	NOUN
ejpam-6228	236	10	and	and	CCONJ
ejpam-6228	236	11	existing400	existing400	PROPN
ejpam-6228	236	12	literature	literature	NOUN
ejpam-6228	236	13	regarding	regard	VERB
ejpam-6228	236	14	the	the	DET
ejpam-6228	236	15	lap.401	lap.401	NOUN
ejpam-6228	236	16	table	table	NOUN
ejpam-6228	236	17	11	11	NUM
ejpam-6228	236	18	:	:	PUNCT
ejpam-6228	236	19	lap	lap	VERB
ejpam-6228	236	20	comparison	comparison	NOUN
ejpam-6228	236	21	s	s	NOUN
ejpam-6228	236	22	-	-	PUNCT
ejpam-6228	236	23	boxes	box	NOUN
ejpam-6228	236	24	lap	lap	NOUN
ejpam-6228	236	25	ss	ss	NOUN
ejpam-6228	236	26	0.141	0.141	NUM
ejpam-6228	236	27	sv	sv	NOUN
ejpam-6228	236	28	0.141	0.141	NUM
ejpam-6228	236	29	[	[	X
ejpam-6228	236	30	12	12	NUM
ejpam-6228	236	31	]	]	PUNCT
ejpam-6228	236	32	0.133	0.133	NUM
ejpam-6228	237	1	[	[	X
ejpam-6228	237	2	17	17	NUM
ejpam-6228	237	3	]	]	PUNCT
ejpam-6228	237	4	0.148	0.148	NUM
ejpam-6228	238	1	[	[	X
ejpam-6228	238	2	13	13	NUM
ejpam-6228	238	3	]	]	PUNCT
ejpam-6228	238	4	0.133	0.133	NUM
ejpam-6228	238	5	4.5	4.5	NUM
ejpam-6228	238	6	.	.	PUNCT
ejpam-6228	239	1	differential	differential	ADJ
ejpam-6228	239	2	approximation	approximation	NOUN
ejpam-6228	239	3	probability402	probability402	PROPN
ejpam-6228	239	4	differential	differential	NOUN
ejpam-6228	239	5	approximation	approximation	NOUN
ejpam-6228	239	6	probability	probability	NOUN
ejpam-6228	239	7	(	(	PUNCT
ejpam-6228	239	8	dap	dap	NOUN
ejpam-6228	239	9	)	)	PUNCT
ejpam-6228	239	10	of	of	ADP
ejpam-6228	239	11	s	s	NOUN
ejpam-6228	239	12	-	-	NOUN
ejpam-6228	239	13	boxes	box	NOUN
ejpam-6228	239	14	over	over	ADP
ejpam-6228	239	15	quaternion	quaternion	NOUN
ejpam-6228	239	16	integers	integer	NOUN
ejpam-6228	239	17	is403	is403	VERB
ejpam-6228	239	18	a	a	DET
ejpam-6228	239	19	key	key	ADJ
ejpam-6228	239	20	security	security	NOUN
ejpam-6228	239	21	parameter	parameter	NOUN
ejpam-6228	239	22	that	that	PRON
ejpam-6228	239	23	characterizes	characterize	VERB
ejpam-6228	239	24	their	their	PRON
ejpam-6228	239	25	resistance	resistance	NOUN
ejpam-6228	239	26	against	against	ADP
ejpam-6228	239	27	differential	differential	ADJ
ejpam-6228	239	28	cryptanal-404	cryptanal-404	NOUN
ejpam-6228	239	29	ysis	ysis	NOUN
ejpam-6228	239	30	by	by	ADP
ejpam-6228	239	31	measuring	measure	VERB
ejpam-6228	239	32	the	the	DET
ejpam-6228	239	33	probability	probability	NOUN
ejpam-6228	239	34	of	of	ADP
ejpam-6228	239	35	occurring	occur	VERB
ejpam-6228	239	36	predictable	predictable	ADJ
ejpam-6228	239	37	output	output	NOUN
ejpam-6228	239	38	differences	difference	NOUN
ejpam-6228	239	39	for	for	ADP
ejpam-6228	239	40	which405	which405	PROPN
ejpam-6228	239	41	one	one	NUM
ejpam-6228	239	42	determines	determine	VERB
ejpam-6228	239	43	some	some	DET
ejpam-6228	239	44	specific	specific	ADJ
ejpam-6228	239	45	input	input	NOUN
ejpam-6228	239	46	differences	difference	NOUN
ejpam-6228	239	47	.	.	PUNCT
ejpam-6228	240	1	the	the	DET
ejpam-6228	240	2	strong	strong	ADJ
ejpam-6228	240	3	diffusion	diffusion	NOUN
ejpam-6228	240	4	required	require	VERB
ejpam-6228	240	5	of	of	ADP
ejpam-6228	240	6	the	the	DET
ejpam-6228	240	7	s-406	s-406	PROPN
ejpam-6228	240	8	box	box	PROPN
ejpam-6228	240	9	is	be	AUX
ejpam-6228	240	10	guaranteed	guarantee	VERB
ejpam-6228	240	11	by	by	ADP
ejpam-6228	240	12	a	a	DET
ejpam-6228	240	13	lower	low	ADJ
ejpam-6228	240	14	dap	dap	NOUN
ejpam-6228	240	15	value	value	NOUN
ejpam-6228	240	16	,	,	PUNCT
ejpam-6228	240	17	so	so	SCONJ
ejpam-6228	240	18	that	that	SCONJ
ejpam-6228	240	19	the	the	DET
ejpam-6228	240	20	transformation	transformation	NOUN
ejpam-6228	240	21	process	process	NOUN
ejpam-6228	240	22	could	could	AUX
ejpam-6228	240	23	be407	be407	VERB
ejpam-6228	240	24	relatively	relatively	ADV
ejpam-6228	240	25	hard	hard	ADJ
ejpam-6228	240	26	to	to	PART
ejpam-6228	240	27	trace	trace	VERB
ejpam-6228	240	28	for	for	ADP
ejpam-6228	240	29	the	the	DET
ejpam-6228	240	30	attackers	attacker	NOUN
ejpam-6228	240	31	.	.	PUNCT
ejpam-6228	241	1	in	in	ADP
ejpam-6228	241	2	quaternion	quaternion	NOUN
ejpam-6228	241	3	-	-	PUNCT
ejpam-6228	241	4	based	base	VERB
ejpam-6228	241	5	s	s	PROPN
ejpam-6228	241	6	-	-	PUNCT
ejpam-6228	241	7	box	box	NOUN
ejpam-6228	241	8	design	design	NOUN
ejpam-6228	241	9	,	,	PUNCT
ejpam-6228	241	10	the	the	DET
ejpam-6228	241	11	scalar408	scalar408	PROPN
ejpam-6228	241	12	s	s	PROPN
ejpam-6228	241	13	-	-	PUNCT
ejpam-6228	241	14	box	box	NOUN
ejpam-6228	241	15	is	be	AUX
ejpam-6228	241	16	built	build	VERB
ejpam-6228	241	17	by	by	ADP
ejpam-6228	241	18	modular	modular	ADJ
ejpam-6228	241	19	arithmetic	arithmetic	ADJ
ejpam-6228	241	20	and	and	CCONJ
ejpam-6228	241	21	affine	affine	NOUN
ejpam-6228	241	22	mappings	mapping	NOUN
ejpam-6228	241	23	on	on	ADP
ejpam-6228	241	24	the	the	DET
ejpam-6228	241	25	real	real	ADJ
ejpam-6228	241	26	component	component	NOUN
ejpam-6228	241	27	so	so	ADV
ejpam-6228	241	28	as409	as409	ADP
ejpam-6228	241	29	the	the	DET
ejpam-6228	241	30	input	input	NOUN
ejpam-6228	241	31	changes	change	NOUN
ejpam-6228	241	32	by	by	ADP
ejpam-6228	241	33	a	a	DET
ejpam-6228	241	34	small	small	ADJ
ejpam-6228	241	35	bit	bit	NOUN
ejpam-6228	241	36	,	,	PUNCT
ejpam-6228	241	37	the	the	DET
ejpam-6228	241	38	output	output	NOUN
ejpam-6228	241	39	turns	turn	VERB
ejpam-6228	241	40	out	out	ADP
ejpam-6228	241	41	to	to	PART
ejpam-6228	241	42	be	be	AUX
ejpam-6228	241	43	very	very	ADV
ejpam-6228	241	44	unpredictable	unpredictable	ADJ
ejpam-6228	241	45	.	.	PUNCT
ejpam-6228	242	1	just410	just410	PROPN
ejpam-6228	242	2	m.	m.	PROPN
ejpam-6228	242	3	sajjad	sajjad	PROPN
ejpam-6228	242	4	,	,	PUNCT
ejpam-6228	242	5	n.	n.	PROPN
ejpam-6228	242	6	a.	a.	NOUN
ejpam-6228	242	7	alqwaifly	alqwaifly	PROPN
ejpam-6228	242	8	/	/	SYM
ejpam-6228	242	9	eur	eur	PROPN
ejpam-6228	242	10	.	.	PUNCT
ejpam-6228	243	1	j.	j.	PROPN
ejpam-6228	243	2	pure	pure	PROPN
ejpam-6228	243	3	appl	appl	PROPN
ejpam-6228	243	4	.	.	PROPN
ejpam-6228	243	5	math	math	PROPN
ejpam-6228	243	6	,	,	PUNCT
ejpam-6228	243	7	18	18	NUM
ejpam-6228	243	8	(	(	PUNCT
ejpam-6228	243	9	2	2	NUM
ejpam-6228	243	10	)	)	PUNCT
ejpam-6228	243	11	(	(	PUNCT
ejpam-6228	243	12	2025	2025	NUM
ejpam-6228	243	13	)	)	PUNCT
ejpam-6228	243	14	,	,	PUNCT
ejpam-6228	243	15	6228	6228	NUM
ejpam-6228	243	16	16	16	NUM
ejpam-6228	243	17	of	of	ADP
ejpam-6228	243	18	35	35	NUM
ejpam-6228	243	19	as	as	SCONJ
ejpam-6228	243	20	the	the	DET
ejpam-6228	243	21	vector	vector	NOUN
ejpam-6228	243	22	s	s	PROPN
ejpam-6228	243	23	box	box	NOUN
ejpam-6228	243	24	processes	process	VERB
ejpam-6228	243	25	the	the	DET
ejpam-6228	243	26	imaginary	imaginary	ADJ
ejpam-6228	243	27	components	component	NOUN
ejpam-6228	243	28	,	,	PUNCT
ejpam-6228	243	29	it	it	PRON
ejpam-6228	243	30	uses	use	VERB
ejpam-6228	243	31	independent	independent	ADJ
ejpam-6228	243	32	transforma-411	transforma-411	ADJ
ejpam-6228	243	33	tions	tion	NOUN
ejpam-6228	243	34	like	like	ADP
ejpam-6228	243	35	modular	modular	ADJ
ejpam-6228	243	36	exponentiation	exponentiation	NOUN
ejpam-6228	243	37	,	,	PUNCT
ejpam-6228	243	38	rotation	rotation	NOUN
ejpam-6228	243	39	-	-	PUNCT
ejpam-6228	243	40	based	base	VERB
ejpam-6228	243	41	diffusion	diffusion	NOUN
ejpam-6228	243	42	,	,	PUNCT
ejpam-6228	243	43	and	and	CCONJ
ejpam-6228	243	44	non	non	ADJ
ejpam-6228	243	45	-	-	ADJ
ejpam-6228	243	46	affine	affine	ADJ
ejpam-6228	243	47	permutations412	permutations412	PROPN
ejpam-6228	243	48	and	and	CCONJ
ejpam-6228	243	49	applies	apply	VERB
ejpam-6228	243	50	those	those	DET
ejpam-6228	243	51	extremely	extremely	ADV
ejpam-6228	243	52	unpredictable	unpredictable	ADJ
ejpam-6228	243	53	differential	differential	ADJ
ejpam-6228	243	54	transitions	transition	NOUN
ejpam-6228	243	55	.	.	PUNCT
ejpam-6228	244	1	the	the	DET
ejpam-6228	244	2	quaternion	quaternion	ADJ
ejpam-6228	244	3	alge-413	alge-413	ADJ
ejpam-6228	244	4	bra	bra	NOUN
ejpam-6228	244	5	naturally	naturally	ADV
ejpam-6228	244	6	improves	improve	VERB
ejpam-6228	244	7	the	the	DET
ejpam-6228	244	8	diffusion	diffusion	NOUN
ejpam-6228	244	9	properties	property	NOUN
ejpam-6228	244	10	of	of	ADP
ejpam-6228	244	11	s	s	NOUN
ejpam-6228	244	12	-	-	NOUN
ejpam-6228	244	13	boxes	box	NOUN
ejpam-6228	244	14	by	by	ADP
ejpam-6228	244	15	distributing	distribute	VERB
ejpam-6228	244	16	transformation414	transformation414	PROPN
ejpam-6228	244	17	in	in	ADP
ejpam-6228	244	18	multi	multi	ADJ
ejpam-6228	244	19	-	-	ADJ
ejpam-6228	244	20	dimensional	dimensional	ADJ
ejpam-6228	244	21	space	space	NOUN
ejpam-6228	244	22	in	in	ADP
ejpam-6228	244	23	such	such	DET
ejpam-6228	244	24	a	a	DET
ejpam-6228	244	25	way	way	NOUN
ejpam-6228	244	26	that	that	PRON
ejpam-6228	244	27	differences	difference	NOUN
ejpam-6228	244	28	in	in	ADP
ejpam-6228	244	29	the	the	DET
ejpam-6228	244	30	input	input	NOUN
ejpam-6228	244	31	tokens	token	NOUN
ejpam-6228	244	32	propagate415	propagate415	PROPN
ejpam-6228	244	33	through	through	ADP
ejpam-6228	244	34	a	a	DET
ejpam-6228	244	35	very	very	ADV
ejpam-6228	244	36	complex	complex	ADJ
ejpam-6228	244	37	and	and	CCONJ
ejpam-6228	244	38	highly	highly	ADV
ejpam-6228	244	39	nonlinear	nonlinear	ADJ
ejpam-6228	244	40	process	process	NOUN
ejpam-6228	244	41	.	.	PUNCT
ejpam-6228	245	1	quaternion	quaternion	NOUN
ejpam-6228	245	2	-	-	PUNCT
ejpam-6228	245	3	based	base	VERB
ejpam-6228	245	4	cryptographic416	cryptographic416	PROPN
ejpam-6228	245	5	systems	system	NOUN
ejpam-6228	245	6	independently	independently	ADV
ejpam-6228	245	7	optimize	optimize	VERB
ejpam-6228	245	8	the	the	DET
ejpam-6228	245	9	scalar	scalar	NOUN
ejpam-6228	245	10	as	as	ADV
ejpam-6228	245	11	well	well	ADV
ejpam-6228	245	12	as	as	ADP
ejpam-6228	245	13	vector	vector	NOUN
ejpam-6228	245	14	parts	part	NOUN
ejpam-6228	245	15	to	to	PART
ejpam-6228	245	16	incorporate	incorporate	VERB
ejpam-6228	245	17	mini-417	mini-417	ADJ
ejpam-6228	245	18	mal	mal	ADJ
ejpam-6228	245	19	dap	dap	NOUN
ejpam-6228	245	20	values	value	NOUN
ejpam-6228	245	21	and	and	CCONJ
ejpam-6228	245	22	hence	hence	ADV
ejpam-6228	245	23	provide	provide	VERB
ejpam-6228	245	24	superior	superior	ADJ
ejpam-6228	245	25	resistance	resistance	NOUN
ejpam-6228	245	26	against	against	ADP
ejpam-6228	245	27	differential	differential	ADJ
ejpam-6228	245	28	attacks	attack	NOUN
ejpam-6228	245	29	,	,	PUNCT
ejpam-6228	245	30	making418	making418	PROPN
ejpam-6228	245	31	them	they	PRON
ejpam-6228	245	32	ideal	ideal	ADJ
ejpam-6228	245	33	for	for	ADP
ejpam-6228	245	34	use	use	NOUN
ejpam-6228	245	35	in	in	ADP
ejpam-6228	245	36	the	the	DET
ejpam-6228	245	37	encryption	encryption	NOUN
ejpam-6228	245	38	algorithms	algorithm	NOUN
ejpam-6228	245	39	,	,	PUNCT
ejpam-6228	245	40	block	block	NOUN
ejpam-6228	245	41	ciphers	cipher	NOUN
ejpam-6228	245	42	,	,	PUNCT
ejpam-6228	245	43	and	and	CCONJ
ejpam-6228	245	44	secure	secure	VERB
ejpam-6228	245	45	communication419	communication419	PROPN
ejpam-6228	245	46	algorithms	algorithm	NOUN
ejpam-6228	245	47	that	that	PRON
ejpam-6228	245	48	need	need	VERB
ejpam-6228	245	49	strong	strong	ADJ
ejpam-6228	245	50	confusion	confusion	NOUN
ejpam-6228	245	51	and	and	CCONJ
ejpam-6228	245	52	diffusion	diffusion	NOUN
ejpam-6228	245	53	to	to	PART
ejpam-6228	245	54	guarantee	guarantee	VERB
ejpam-6228	245	55	data	datum	NOUN
ejpam-6228	245	56	security	security	NOUN
ejpam-6228	245	57	[	[	X
ejpam-6228	245	58	12	12	NUM
ejpam-6228	245	59	,	,	PUNCT
ejpam-6228	245	60	14	14	NUM
ejpam-6228	245	61	,	,	PUNCT
ejpam-6228	245	62	17].420	17].420	PROPN
ejpam-6228	245	63	literature	literature	PROPN
ejpam-6228	245	64	comparison	comparison	NOUN
ejpam-6228	245	65	through	through	ADP
ejpam-6228	245	66	tables	table	NOUN
ejpam-6228	245	67	12	12	NUM
ejpam-6228	245	68	,	,	PUNCT
ejpam-6228	245	69	13	13	NUM
ejpam-6228	245	70	,	,	PUNCT
ejpam-6228	245	71	and	and	CCONJ
ejpam-6228	245	72	14	14	NUM
ejpam-6228	245	73	is	be	AUX
ejpam-6228	245	74	done	do	VERB
ejpam-6228	245	75	with	with	ADP
ejpam-6228	245	76	the	the	DET
ejpam-6228	245	77	proposed	propose	VERB
ejpam-6228	245	78	results.421	results.421	PROPN
ejpam-6228	245	79	table	table	NOUN
ejpam-6228	245	80	12	12	NUM
ejpam-6228	245	81	:	:	PUNCT
ejpam-6228	245	82	dap	dap	PROPN
ejpam-6228	245	83	of	of	ADP
ejpam-6228	245	84	ss	ss	PROPN
ejpam-6228	246	1	0.02344	0.02344	NUM
ejpam-6228	246	2	0.03125	0.03125	NUM
ejpam-6228	246	3	0.02344	0.02344	NUM
ejpam-6228	246	4	0.03125	0.03125	NUM
ejpam-6228	246	5	0.02344	0.02344	NUM
ejpam-6228	246	6	0.03125	0.03125	NUM
ejpam-6228	246	7	0.02344	0.02344	NUM
ejpam-6228	246	8	0.03125	0.03125	NUM
ejpam-6228	246	9	0.02344	0.02344	NUM
ejpam-6228	246	10	0.02344	0.02344	NUM
ejpam-6228	246	11	0.02344	0.02344	NUM
ejpam-6228	246	12	0.02344	0.02344	NUM
ejpam-6228	246	13	0.02344	0.02344	NUM
ejpam-6228	246	14	0.02344	0.02344	NUM
ejpam-6228	246	15	0.03906	0.03906	NUM
ejpam-6228	246	16	0.03125	0.03125	NUM
ejpam-6228	246	17	0.03906	0.03906	NUM
ejpam-6228	246	18	0.02344	0.02344	NUM
ejpam-6228	246	19	0.03125	0.03125	NUM
ejpam-6228	246	20	0.03125	0.03125	NUM
ejpam-6228	246	21	0.03125	0.03125	NUM
ejpam-6228	246	22	0.01562	0.01562	NUM
ejpam-6228	247	1	0.02344	0.02344	NUM
ejpam-6228	247	2	0.02344	0.02344	NUM
ejpam-6228	247	3	0.02344	0.02344	NUM
ejpam-6228	247	4	0.02344	0.02344	NUM
ejpam-6228	247	5	0.02344	0.02344	NUM
ejpam-6228	247	6	0.01562	0.01562	NUM
ejpam-6228	247	7	0.02344	0.02344	NUM
ejpam-6228	247	8	0.02344	0.02344	NUM
ejpam-6228	247	9	0.02344	0.02344	NUM
ejpam-6228	247	10	0.03125	0.03125	NUM
ejpam-6228	247	11	0.02344	0.02344	NUM
ejpam-6228	247	12	0.02344	0.02344	NUM
ejpam-6228	247	13	0.03125	0.03125	NUM
ejpam-6228	247	14	0.02344	0.02344	NUM
ejpam-6228	247	15	0.03125	0.03125	NUM
ejpam-6228	247	16	0.02344	0.02344	NUM
ejpam-6228	247	17	0.02344	0.02344	NUM
ejpam-6228	247	18	0.02344	0.02344	NUM
ejpam-6228	247	19	0.03125	0.03125	NUM
ejpam-6228	247	20	0.03125	0.03125	NUM
ejpam-6228	247	21	0.03125	0.03125	NUM
ejpam-6228	247	22	0.03125	0.03125	NUM
ejpam-6228	247	23	0.03125	0.03125	NUM
ejpam-6228	247	24	0.02344	0.02344	NUM
ejpam-6228	247	25	0.03125	0.03125	NUM
ejpam-6228	247	26	0.02344	0.02344	NUM
ejpam-6228	247	27	0.02344	0.02344	NUM
ejpam-6228	247	28	0.03125	0.03125	NUM
ejpam-6228	247	29	0.03125	0.03125	NUM
ejpam-6228	247	30	0.02344	0.02344	NUM
ejpam-6228	247	31	0.02344	0.02344	NUM
ejpam-6228	247	32	0.02344	0.02344	NUM
ejpam-6228	247	33	0.03125	0.03125	NUM
ejpam-6228	247	34	0.02344	0.02344	NUM
ejpam-6228	247	35	0.02344	0.02344	NUM
ejpam-6228	247	36	0.02344	0.02344	NUM
ejpam-6228	247	37	0.03125	0.03125	NUM
ejpam-6228	247	38	0.03125	0.03125	NUM
ejpam-6228	247	39	0.02344	0.02344	NUM
ejpam-6228	247	40	0.02344	0.02344	NUM
ejpam-6228	247	41	0.03906	0.03906	NUM
ejpam-6228	247	42	0.02344	0.02344	NUM
ejpam-6228	247	43	0.02344	0.02344	NUM
ejpam-6228	247	44	0.03125	0.03125	NUM
ejpam-6228	247	45	0.03125	0.03125	NUM
ejpam-6228	247	46	0.02344	0.02344	NUM
ejpam-6228	247	47	0.02344	0.02344	NUM
ejpam-6228	247	48	0.02344	0.02344	NUM
ejpam-6228	247	49	0.03125	0.03125	NUM
ejpam-6228	247	50	0.02344	0.02344	NUM
ejpam-6228	247	51	0.02344	0.02344	NUM
ejpam-6228	247	52	0.02344	0.02344	NUM
ejpam-6228	247	53	0.02344	0.02344	NUM
ejpam-6228	247	54	0.02344	0.02344	NUM
ejpam-6228	247	55	0.02344	0.02344	NUM
ejpam-6228	247	56	0.02344	0.02344	NUM
ejpam-6228	247	57	0.03125	0.03125	NUM
ejpam-6228	247	58	0.02344	0.02344	NUM
ejpam-6228	247	59	0.03906	0.03906	NUM
ejpam-6228	247	60	0.02344	0.02344	NUM
ejpam-6228	247	61	0.02344	0.02344	NUM
ejpam-6228	248	1	0.02344	0.02344	NUM
ejpam-6228	248	2	0.03125	0.03125	NUM
ejpam-6228	248	3	0.02344	0.02344	NUM
ejpam-6228	248	4	0.02344	0.02344	NUM
ejpam-6228	248	5	0.02344	0.02344	NUM
ejpam-6228	248	6	0.03125	0.03125	NUM
ejpam-6228	248	7	0.03125	0.03125	NUM
ejpam-6228	248	8	0.03125	0.03125	NUM
ejpam-6228	248	9	0.03125	0.03125	NUM
ejpam-6228	248	10	0.02344	0.02344	NUM
ejpam-6228	248	11	0.01562	0.01562	NUM
ejpam-6228	248	12	0.02344	0.02344	NUM
ejpam-6228	248	13	0.03125	0.03125	NUM
ejpam-6228	248	14	0.03125	0.03125	NUM
ejpam-6228	248	15	0.02344	0.02344	NUM
ejpam-6228	248	16	0.02344	0.02344	NUM
ejpam-6228	248	17	0.04688	0.04688	NUM
ejpam-6228	248	18	0.02344	0.02344	NUM
ejpam-6228	248	19	0.03125	0.03125	NUM
ejpam-6228	248	20	0.03906	0.03906	NUM
ejpam-6228	248	21	0.02344	0.02344	NUM
ejpam-6228	248	22	0.02344	0.02344	NUM
ejpam-6228	248	23	0.02344	0.02344	NUM
ejpam-6228	248	24	0.02344	0.02344	NUM
ejpam-6228	248	25	0.02344	0.02344	NUM
ejpam-6228	248	26	0.02344	0.02344	NUM
ejpam-6228	248	27	0.02344	0.02344	NUM
ejpam-6228	248	28	0.02344	0.02344	NUM
ejpam-6228	248	29	0.02344	0.02344	NUM
ejpam-6228	248	30	0.02344	0.02344	NUM
ejpam-6228	248	31	0.03125	0.03125	NUM
ejpam-6228	248	32	0.03125	0.03125	NUM
ejpam-6228	248	33	0.02344	0.02344	NUM
ejpam-6228	248	34	0.02344	0.02344	NUM
ejpam-6228	248	35	0.02344	0.02344	NUM
ejpam-6228	248	36	0.03125	0.03125	NUM
ejpam-6228	248	37	0.01562	0.01562	NUM
ejpam-6228	248	38	0.02344	0.02344	NUM
ejpam-6228	248	39	0.02344	0.02344	NUM
ejpam-6228	248	40	0.02344	0.02344	NUM
ejpam-6228	248	41	0.02344	0.02344	NUM
ejpam-6228	248	42	0.02344	0.02344	NUM
ejpam-6228	248	43	0.02344	0.02344	NUM
ejpam-6228	248	44	0.02344	0.02344	NUM
ejpam-6228	248	45	0.03125	0.03125	NUM
ejpam-6228	248	46	0.02344	0.02344	NUM
ejpam-6228	248	47	0.02344	0.02344	NUM
ejpam-6228	248	48	0.02344	0.02344	NUM
ejpam-6228	248	49	0.02344	0.02344	NUM
ejpam-6228	248	50	0.02344	0.02344	NUM
ejpam-6228	248	51	0.03125	0.03125	NUM
ejpam-6228	248	52	0.02344	0.02344	NUM
ejpam-6228	248	53	0.03125	0.03125	NUM
ejpam-6228	248	54	0.02344	0.02344	NUM
ejpam-6228	248	55	0.04688	0.04688	NUM
ejpam-6228	248	56	0.03125	0.03125	NUM
ejpam-6228	248	57	0.02344	0.02344	NUM
ejpam-6228	248	58	0.03125	0.03125	NUM
ejpam-6228	248	59	0.03125	0.03125	NUM
ejpam-6228	248	60	0.02344	0.02344	NUM
ejpam-6228	248	61	0.02344	0.02344	NUM
ejpam-6228	248	62	0.03125	0.03125	NUM
ejpam-6228	248	63	0.02344	0.02344	NUM
ejpam-6228	248	64	0.01562	0.01562	NUM
ejpam-6228	248	65	0.02344	0.02344	NUM
ejpam-6228	248	66	0.02344	0.02344	NUM
ejpam-6228	248	67	0.02344	0.02344	NUM
ejpam-6228	248	68	0.03125	0.03125	NUM
ejpam-6228	248	69	0.02344	0.02344	NUM
ejpam-6228	248	70	0.03125	0.03125	NUM
ejpam-6228	248	71	0.02344	0.02344	NUM
ejpam-6228	248	72	0.03125	0.03125	NUM
ejpam-6228	248	73	0.03125	0.03125	NUM
ejpam-6228	248	74	0.02344	0.02344	NUM
ejpam-6228	248	75	0.02344	0.02344	NUM
ejpam-6228	248	76	0.03906	0.03906	NUM
ejpam-6228	248	77	0.02344	0.02344	NUM
ejpam-6228	248	78	0.02344	0.02344	NUM
ejpam-6228	248	79	0.02344	0.02344	NUM
ejpam-6228	248	80	0.02344	0.02344	NUM
ejpam-6228	248	81	0.02344	0.02344	NUM
ejpam-6228	248	82	0.03125	0.03125	NUM
ejpam-6228	248	83	0.02344	0.02344	NUM
ejpam-6228	248	84	0.02344	0.02344	NUM
ejpam-6228	248	85	0.03125	0.03125	NUM
ejpam-6228	248	86	0.02344	0.02344	NUM
ejpam-6228	248	87	0.03125	0.03125	NUM
ejpam-6228	248	88	0.03125	0.03125	NUM
ejpam-6228	248	89	0.02344	0.02344	NUM
ejpam-6228	248	90	0.02344	0.02344	NUM
ejpam-6228	248	91	0.02344	0.02344	NUM
ejpam-6228	248	92	0.03125	0.03125	NUM
ejpam-6228	248	93	0.02344	0.02344	NUM
ejpam-6228	248	94	0.03125	0.03125	NUM
ejpam-6228	248	95	0.02344	0.02344	NUM
ejpam-6228	248	96	0.03125	0.03125	NUM
ejpam-6228	248	97	0.03125	0.03125	NUM
ejpam-6228	248	98	0.03125	0.03125	NUM
ejpam-6228	248	99	0.02344	0.02344	NUM
ejpam-6228	248	100	0.02344	0.02344	NUM
ejpam-6228	248	101	0.02344	0.02344	NUM
ejpam-6228	248	102	0.03125	0.03125	NUM
ejpam-6228	248	103	0.02344	0.02344	NUM
ejpam-6228	248	104	0.03906	0.03906	NUM
ejpam-6228	248	105	0.02344	0.02344	NUM
ejpam-6228	248	106	0.03125	0.03125	NUM
ejpam-6228	248	107	0.03125	0.03125	NUM
ejpam-6228	248	108	0.02344	0.02344	NUM
ejpam-6228	248	109	0.02344	0.02344	NUM
ejpam-6228	248	110	0.03125	0.03125	NUM
ejpam-6228	248	111	0.02344	0.02344	NUM
ejpam-6228	248	112	0.03906	0.03906	NUM
ejpam-6228	248	113	0.03125	0.03125	NUM
ejpam-6228	248	114	0.02344	0.02344	NUM
ejpam-6228	248	115	0.03125	0.03125	NUM
ejpam-6228	248	116	0.03125	0.03125	NUM
ejpam-6228	248	117	0.03125	0.03125	NUM
ejpam-6228	248	118	0.02344	0.02344	NUM
ejpam-6228	248	119	0.03125	0.03125	NUM
ejpam-6228	248	120	0.02344	0.02344	NUM
ejpam-6228	248	121	0.02344	0.02344	NUM
ejpam-6228	248	122	0.02344	0.02344	NUM
ejpam-6228	248	123	0.03125	0.03125	NUM
ejpam-6228	248	124	0.03125	0.03125	NUM
ejpam-6228	248	125	0.03125	0.03125	NUM
ejpam-6228	248	126	0.03125	0.03125	NUM
ejpam-6228	248	127	0.02344	0.02344	NUM
ejpam-6228	248	128	0.02344	0.02344	NUM
ejpam-6228	248	129	0.03125	0.03125	NUM
ejpam-6228	248	130	0.03125	0.03125	NUM
ejpam-6228	248	131	0.02344	0.02344	NUM
ejpam-6228	248	132	0.03125	0.03125	NUM
ejpam-6228	248	133	0.02344	0.02344	NUM
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ejpam-6228	248	137	0.03125	0.03125	NUM
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ejpam-6228	248	145	0.02344	0.02344	NUM
ejpam-6228	248	146	0.03125	0.03125	NUM
ejpam-6228	248	147	0.02344	0.02344	NUM
ejpam-6228	248	148	0.02344	0.02344	NUM
ejpam-6228	248	149	0.03906	0.03906	NUM
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ejpam-6228	248	151	0.03125	0.03125	NUM
ejpam-6228	248	152	0.03125	0.03125	NUM
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ejpam-6228	248	176	:	:	PUNCT
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ejpam-6228	248	179	sv	sv	PROPN
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ejpam-6228	251	176	:	:	PUNCT
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ejpam-6228	252	20	.	.	PUNCT
ejpam-6228	253	1	fixed	fix	VERB
ejpam-6228	253	2	points422	points422	DET
ejpam-6228	253	3	a	a	DET
ejpam-6228	253	4	fixed	fix	VERB
ejpam-6228	253	5	point	point	NOUN
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ejpam-6228	253	9	f	f	PROPN
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ejpam-6228	253	16	domain	domain	NOUN
ejpam-6228	253	17	such	such	ADJ
ejpam-6228	253	18	that	that	SCONJ
ejpam-6228	253	19	f(x	f(x	NOUN
ejpam-6228	253	20	)	)	PUNCT
ejpam-6228	254	1	=	=	SYM
ejpam-6228	254	2	x.423	x.423	NOUN
ejpam-6228	255	1	this	this	PRON
ejpam-6228	255	2	may	may	AUX
ejpam-6228	255	3	provide	provide	VERB
ejpam-6228	255	4	an	an	DET
ejpam-6228	255	5	exploitable	exploitable	ADJ
ejpam-6228	255	6	foundation	foundation	NOUN
ejpam-6228	255	7	for	for	ADP
ejpam-6228	255	8	cryptographic	cryptographic	ADJ
ejpam-6228	255	9	systems	system	NOUN
ejpam-6228	255	10	,	,	PUNCT
ejpam-6228	255	11	allowing	allow	VERB
ejpam-6228	255	12	attack-424	attack-424	ADJ
ejpam-6228	255	13	ers	er	NOUN
ejpam-6228	255	14	to	to	PART
ejpam-6228	255	15	exploit	exploit	VERB
ejpam-6228	255	16	predictable	predictable	ADJ
ejpam-6228	255	17	mappings	mapping	NOUN
ejpam-6228	255	18	.	.	PUNCT
ejpam-6228	256	1	in	in	ADP
ejpam-6228	256	2	quaternion	quaternion	NOUN
ejpam-6228	256	3	-	-	PUNCT
ejpam-6228	256	4	based	base	VERB
ejpam-6228	256	5	s	s	PROPN
ejpam-6228	256	6	-	-	PUNCT
ejpam-6228	256	7	box	box	NOUN
ejpam-6228	256	8	implementation	implementation	NOUN
ejpam-6228	256	9	,	,	PUNCT
ejpam-6228	256	10	where425	where425	PROPN
ejpam-6228	256	11	scalar	scalar	ADJ
ejpam-6228	256	12	and	and	CCONJ
ejpam-6228	256	13	vector	vector	NOUN
ejpam-6228	256	14	parts	part	NOUN
ejpam-6228	256	15	are	be	AUX
ejpam-6228	256	16	separately	separately	ADV
ejpam-6228	256	17	processed	process	VERB
ejpam-6228	256	18	,	,	PUNCT
ejpam-6228	256	19	certain	certain	ADJ
ejpam-6228	256	20	careful	careful	ADJ
ejpam-6228	256	21	choices	choice	NOUN
ejpam-6228	256	22	of	of	ADP
ejpam-6228	256	23	modular	modular	ADJ
ejpam-6228	256	24	trans-426	trans-426	NOUN
ejpam-6228	256	25	formation	formation	NOUN
ejpam-6228	256	26	and	and	CCONJ
ejpam-6228	256	27	affine	affine	NOUN
ejpam-6228	256	28	mapping	mapping	NOUN
ejpam-6228	256	29	result	result	NOUN
ejpam-6228	256	30	in	in	ADP
ejpam-6228	256	31	minimal	minimal	ADJ
ejpam-6228	256	32	numbers	number	NOUN
ejpam-6228	256	33	of	of	ADP
ejpam-6228	256	34	fixed	fix	VERB
ejpam-6228	256	35	-	-	PUNCT
ejpam-6228	256	36	point	point	NOUN
ejpam-6228	256	37	occurrences	occurrence	NOUN
ejpam-6228	256	38	.	.	PUNCT
ejpam-6228	257	1	a427	a427	NUM
ejpam-6228	257	2	nonlinear	nonlinear	ADJ
ejpam-6228	257	3	transformation	transformation	NOUN
ejpam-6228	257	4	of	of	ADP
ejpam-6228	257	5	the	the	DET
ejpam-6228	257	6	scalar	scalar	NOUN
ejpam-6228	257	7	s	s	PROPN
ejpam-6228	257	8	box	box	NOUN
ejpam-6228	257	9	derived	derive	VERB
ejpam-6228	257	10	from	from	ADP
ejpam-6228	257	11	the	the	DET
ejpam-6228	257	12	real	real	ADJ
ejpam-6228	257	13	part	part	NOUN
ejpam-6228	257	14	of	of	ADP
ejpam-6228	257	15	quaternion	quaternion	NOUN
ejpam-6228	257	16	inte-428	inte-428	ADJ
ejpam-6228	257	17	gers	ger	NOUN
ejpam-6228	257	18	is	be	AUX
ejpam-6228	257	19	performed	perform	VERB
ejpam-6228	257	20	to	to	PART
ejpam-6228	257	21	vastly	vastly	ADV
ejpam-6228	257	22	diversify	diversify	VERB
ejpam-6228	257	23	the	the	DET
ejpam-6228	257	24	outputs	output	NOUN
ejpam-6228	257	25	.	.	PUNCT
ejpam-6228	258	1	just	just	ADV
ejpam-6228	258	2	like	like	ADP
ejpam-6228	258	3	the	the	DET
ejpam-6228	258	4	vector	vector	NOUN
ejpam-6228	258	5	s	s	NOUN
ejpam-6228	258	6	-	-	PUNCT
ejpam-6228	258	7	box	box	NOUN
ejpam-6228	258	8	dealing	deal	VERB
ejpam-6228	258	9	with429	with429	PROPN
ejpam-6228	258	10	the	the	DET
ejpam-6228	258	11	imaginary	imaginary	ADJ
ejpam-6228	258	12	components	component	NOUN
ejpam-6228	258	13	,	,	PUNCT
ejpam-6228	258	14	it	it	PRON
ejpam-6228	258	15	applies	apply	VERB
ejpam-6228	258	16	independent	independent	ADJ
ejpam-6228	258	17	modular	modular	ADJ
ejpam-6228	258	18	exponentiation	exponentiation	NOUN
ejpam-6228	258	19	and	and	CCONJ
ejpam-6228	258	20	rotation-430	rotation-430	VERB
ejpam-6228	258	21	based	base	VERB
ejpam-6228	258	22	transformations	transformation	NOUN
ejpam-6228	258	23	to	to	PART
ejpam-6228	258	24	break	break	VERB
ejpam-6228	258	25	the	the	DET
ejpam-6228	258	26	direct	direct	ADJ
ejpam-6228	258	27	input	input	NOUN
ejpam-6228	258	28	-	-	PUNCT
ejpam-6228	258	29	to	to	ADP
ejpam-6228	258	30	-	-	PUNCT
ejpam-6228	258	31	output	output	NOUN
ejpam-6228	258	32	relationships	relationship	NOUN
ejpam-6228	258	33	that	that	PRON
ejpam-6228	258	34	may	may	AUX
ejpam-6228	258	35	exist.431	exist.431	VERB
ejpam-6228	258	36	eliminating	eliminate	VERB
ejpam-6228	258	37	or	or	CCONJ
ejpam-6228	258	38	reducing	reduce	VERB
ejpam-6228	258	39	fixed	fix	VERB
ejpam-6228	258	40	points	point	NOUN
ejpam-6228	258	41	by	by	ADP
ejpam-6228	258	42	introducing	introduce	VERB
ejpam-6228	258	43	quaternion	quaternion	NOUN
ejpam-6228	258	44	-	-	PUNCT
ejpam-6228	258	45	based	base	VERB
ejpam-6228	258	46	s	s	NOUN
ejpam-6228	258	47	-	-	PUNCT
ejpam-6228	258	48	boxes	box	NOUN
ejpam-6228	258	49	,	,	PUNCT
ejpam-6228	258	50	security432	security432	PROPN
ejpam-6228	258	51	can	can	AUX
ejpam-6228	258	52	be	be	AUX
ejpam-6228	258	53	improved	improve	VERB
ejpam-6228	258	54	in	in	ADP
ejpam-6228	258	55	the	the	DET
ejpam-6228	258	56	sense	sense	NOUN
ejpam-6228	258	57	that	that	SCONJ
ejpam-6228	258	58	they	they	PRON
ejpam-6228	258	59	are	be	AUX
ejpam-6228	258	60	more	more	ADV
ejpam-6228	258	61	resistant	resistant	ADJ
ejpam-6228	258	62	to	to	ADP
ejpam-6228	258	63	algebraic	algebraic	ADJ
ejpam-6228	258	64	attacks	attack	NOUN
ejpam-6228	258	65	and	and	CCONJ
ejpam-6228	258	66	can	can	AUX
ejpam-6228	258	67	be433	be433	PROPN
ejpam-6228	258	68	applied	apply	VERB
ejpam-6228	258	69	elsewhere	elsewhere	ADV
ejpam-6228	258	70	in	in	ADP
ejpam-6228	258	71	encryption	encryption	NOUN
ejpam-6228	258	72	schemes	scheme	NOUN
ejpam-6228	258	73	and	and	CCONJ
ejpam-6228	258	74	secure	secure	VERB
ejpam-6228	258	75	communication	communication	NOUN
ejpam-6228	258	76	systems	system	NOUN
ejpam-6228	258	77	[	[	X
ejpam-6228	258	78	4	4	NUM
ejpam-6228	258	79	,	,	PUNCT
ejpam-6228	258	80	15	15	NUM
ejpam-6228	258	81	]	]	PUNCT
ejpam-6228	258	82	.	.	PUNCT
ejpam-6228	259	1	the434	the434	NOUN
ejpam-6228	259	2	fixed	fix	VERB
ejpam-6228	259	3	point	point	NOUN
ejpam-6228	259	4	’s	’s	PART
ejpam-6228	259	5	comparison	comparison	NOUN
ejpam-6228	259	6	is	be	AUX
ejpam-6228	259	7	given	give	VERB
ejpam-6228	259	8	in	in	ADP
ejpam-6228	259	9	table	table	NOUN
ejpam-6228	259	10	15.435	15.435	NUM
ejpam-6228	259	11	4.7	4.7	NUM
ejpam-6228	259	12	.	.	PUNCT
ejpam-6228	260	1	differential	differential	ADJ
ejpam-6228	260	2	and	and	CCONJ
ejpam-6228	260	3	linear	linear	ADJ
ejpam-6228	260	4	branch	branch	NOUN
ejpam-6228	260	5	number436	number436	PROPN
ejpam-6228	260	6	as	as	SCONJ
ejpam-6228	260	7	was	be	AUX
ejpam-6228	260	8	stated	state	VERB
ejpam-6228	260	9	above	above	ADV
ejpam-6228	260	10	,	,	PUNCT
ejpam-6228	260	11	the	the	DET
ejpam-6228	260	12	branch	branch	NOUN
ejpam-6228	260	13	number	number	NOUN
ejpam-6228	260	14	of	of	ADP
ejpam-6228	260	15	an	an	DET
ejpam-6228	260	16	s	s	NOUN
ejpam-6228	260	17	-	-	PUNCT
ejpam-6228	260	18	box	box	NOUN
ejpam-6228	260	19	plays	play	VERB
ejpam-6228	260	20	a	a	DET
ejpam-6228	260	21	crucial	crucial	ADJ
ejpam-6228	260	22	factor	factor	NOUN
ejpam-6228	260	23	in	in	ADP
ejpam-6228	260	24	measur-437	measur-437	NOUN
ejpam-6228	260	25	ing	e	VERB
ejpam-6228	260	26	its	its	PRON
ejpam-6228	260	27	effectiveness	effectiveness	NOUN
ejpam-6228	260	28	in	in	ADP
ejpam-6228	260	29	spreading	spread	VERB
ejpam-6228	260	30	input	input	NOUN
ejpam-6228	260	31	differences	difference	NOUN
ejpam-6228	260	32	over	over	ADP
ejpam-6228	260	33	the	the	DET
ejpam-6228	260	34	output	output	NOUN
ejpam-6228	260	35	and	and	CCONJ
ejpam-6228	260	36	thus	thus	ADV
ejpam-6228	260	37	its	its	PRON
ejpam-6228	260	38	efficiency438	efficiency438	X
ejpam-6228	260	39	against	against	ADP
ejpam-6228	260	40	differential	differential	NOUN
ejpam-6228	260	41	and	and	CCONJ
ejpam-6228	260	42	linear	linear	ADJ
ejpam-6228	260	43	cryptanalysis	cryptanalysis	NOUN
ejpam-6228	260	44	.	.	PUNCT
ejpam-6228	261	1	increasing	increase	VERB
ejpam-6228	261	2	differential	differential	ADJ
ejpam-6228	261	3	branch	branch	NOUN
ejpam-6228	261	4	number	number	NOUN
ejpam-6228	261	5	(	(	PUNCT
ejpam-6228	261	6	dbn)439	dbn)439	ADJ
ejpam-6228	261	7	guarantees	guarantee	VERB
ejpam-6228	261	8	a	a	DET
ejpam-6228	261	9	small	small	ADJ
ejpam-6228	261	10	input	input	NOUN
ejpam-6228	261	11	difference	difference	NOUN
ejpam-6228	261	12	produces	produce	VERB
ejpam-6228	261	13	large	large	ADJ
ejpam-6228	261	14	output	output	NOUN
ejpam-6228	261	15	differences	difference	NOUN
ejpam-6228	261	16	;	;	PUNCT
ejpam-6228	261	17	thus	thus	ADV
ejpam-6228	261	18	,	,	PUNCT
ejpam-6228	261	19	differential440	differential440	DET
ejpam-6228	261	20	attacks	attack	NOUN
ejpam-6228	261	21	impose	impose	VERB
ejpam-6228	261	22	less	less	ADJ
ejpam-6228	261	23	damage	damage	NOUN
ejpam-6228	261	24	.	.	PUNCT
ejpam-6228	262	1	likewise	likewise	ADV
ejpam-6228	262	2	,	,	PUNCT
ejpam-6228	262	3	a	a	DET
ejpam-6228	262	4	high	high	ADJ
ejpam-6228	262	5	linear	linear	ADJ
ejpam-6228	262	6	branch	branch	NOUN
ejpam-6228	262	7	number	number	NOUN
ejpam-6228	262	8	(	(	PUNCT
ejpam-6228	262	9	lbn	lbn	ADJ
ejpam-6228	262	10	)	)	PUNCT
ejpam-6228	262	11	prevents	prevent	VERB
ejpam-6228	262	12	linear441	linear441	VERB
ejpam-6228	262	13	approximation	approximation	NOUN
ejpam-6228	262	14	attacks	attack	NOUN
ejpam-6228	262	15	by	by	ADP
ejpam-6228	262	16	making	make	VERB
ejpam-6228	262	17	it	it	PRON
ejpam-6228	262	18	difficult	difficult	ADJ
ejpam-6228	262	19	for	for	SCONJ
ejpam-6228	262	20	attackers	attacker	NOUN
ejpam-6228	262	21	to	to	PART
ejpam-6228	262	22	have	have	VERB
ejpam-6228	262	23	a	a	DET
ejpam-6228	262	24	good	good	ADJ
ejpam-6228	262	25	statistical	statistical	ADJ
ejpam-6228	262	26	corre-442	corre-442	ADJ
ejpam-6228	262	27	lation	lation	NOUN
ejpam-6228	262	28	between	between	ADP
ejpam-6228	262	29	input	input	NOUN
ejpam-6228	262	30	and	and	CCONJ
ejpam-6228	262	31	output	output	NOUN
ejpam-6228	262	32	values	value	NOUN
ejpam-6228	262	33	.	.	PUNCT
ejpam-6228	263	1	in	in	ADP
ejpam-6228	263	2	quaternion	quaternion	NOUN
ejpam-6228	263	3	-	-	PUNCT
ejpam-6228	263	4	based	base	VERB
ejpam-6228	263	5	s	s	PROPN
ejpam-6228	263	6	-	-	PUNCT
ejpam-6228	263	7	box	box	NOUN
ejpam-6228	263	8	design	design	NOUN
ejpam-6228	263	9	,	,	PUNCT
ejpam-6228	263	10	scalar	scalar	ADJ
ejpam-6228	263	11	s	s	NOUN
ejpam-6228	263	12	-	-	PUNCT
ejpam-6228	263	13	box443	box443	PROPN
ejpam-6228	263	14	maximizes	maximize	VERB
ejpam-6228	263	15	these	these	DET
ejpam-6228	263	16	branch	branch	NOUN
ejpam-6228	263	17	numbers	number	NOUN
ejpam-6228	263	18	in	in	ADP
ejpam-6228	263	19	modulo	modulo	NOUN
ejpam-6228	263	20	arithmetic	arithmetic	ADJ
ejpam-6228	263	21	and	and	CCONJ
ejpam-6228	263	22	affine	affine	NOUN
ejpam-6228	263	23	transformations	transformation	NOUN
ejpam-6228	263	24	,	,	PUNCT
ejpam-6228	263	25	and444	and444	PROPN
ejpam-6228	263	26	vector	vector	NOUN
ejpam-6228	263	27	s	s	PROPN
ejpam-6228	263	28	-	-	PUNCT
ejpam-6228	263	29	box	box	NOUN
ejpam-6228	263	30	improves	improve	VERB
ejpam-6228	263	31	it	it	PRON
ejpam-6228	263	32	in	in	ADP
ejpam-6228	263	33	the	the	DET
ejpam-6228	263	34	same	same	ADJ
ejpam-6228	263	35	component	component	NOUN
ejpam-6228	263	36	mapping	mapping	NOUN
ejpam-6228	263	37	.	.	PUNCT
ejpam-6228	264	1	being	be	AUX
ejpam-6228	264	2	inherently	inherently	ADV
ejpam-6228	264	3	multidimen-445	multidimen-445	VERB
ejpam-6228	264	4	sional	sional	ADJ
ejpam-6228	264	5	,	,	PUNCT
ejpam-6228	264	6	quaternion	quaternion	NOUN
ejpam-6228	264	7	integers	integer	NOUN
ejpam-6228	264	8	provide	provide	VERB
ejpam-6228	264	9	superior	superior	ADJ
ejpam-6228	264	10	confusion	confusion	NOUN
ejpam-6228	264	11	and	and	CCONJ
ejpam-6228	264	12	diffusion	diffusion	NOUN
ejpam-6228	264	13	as	as	SCONJ
ejpam-6228	264	14	compared	compare	VERB
ejpam-6228	264	15	to	to	ADP
ejpam-6228	264	16	usual446	usual446	NOUN
ejpam-6228	264	17	transformations	transformation	NOUN
ejpam-6228	264	18	that	that	PRON
ejpam-6228	264	19	would	would	AUX
ejpam-6228	264	20	result	result	VERB
ejpam-6228	264	21	in	in	ADP
ejpam-6228	264	22	even	even	ADV
ejpam-6228	264	23	more	more	ADV
ejpam-6228	264	24	complex	complex	ADJ
ejpam-6228	264	25	complexity	complexity	NOUN
ejpam-6228	264	26	of	of	ADP
ejpam-6228	264	27	these	these	DET
ejpam-6228	264	28	transforma-447	transforma-447	NOUN
ejpam-6228	264	29	tions	tion	NOUN
ejpam-6228	264	30	inherently	inherently	ADV
ejpam-6228	264	31	,	,	PUNCT
ejpam-6228	264	32	which	which	PRON
ejpam-6228	264	33	further	far	ADV
ejpam-6228	264	34	enhances	enhance	VERB
ejpam-6228	264	35	the	the	DET
ejpam-6228	264	36	cryptographic	cryptographic	ADJ
ejpam-6228	264	37	security	security	NOUN
ejpam-6228	264	38	[	[	X
ejpam-6228	264	39	4	4	NUM
ejpam-6228	264	40	,	,	PUNCT
ejpam-6228	264	41	15	15	NUM
ejpam-6228	264	42	]	]	PUNCT
ejpam-6228	264	43	.	.	PUNCT
ejpam-6228	265	1	lbn	lbn	ADJ
ejpam-6228	265	2	and	and	CCONJ
ejpam-6228	265	3	dbn448	dbn448	PROPN
ejpam-6228	265	4	comparison	comparison	NOUN
ejpam-6228	265	5	is	be	AUX
ejpam-6228	265	6	given	give	VERB
ejpam-6228	265	7	in	in	ADP
ejpam-6228	265	8	table	table	NOUN
ejpam-6228	265	9	15.449	15.449	NUM
ejpam-6228	265	10	4.8	4.8	NUM
ejpam-6228	265	11	.	.	PUNCT
ejpam-6228	266	1	linear	linear	PROPN
ejpam-6228	267	1	structure450	structure450	PROPN
ejpam-6228	267	2	it	it	PRON
ejpam-6228	267	3	is	be	AUX
ejpam-6228	267	4	the	the	DET
ejpam-6228	267	5	idea	idea	NOUN
ejpam-6228	267	6	that	that	SCONJ
ejpam-6228	267	7	when	when	SCONJ
ejpam-6228	267	8	linear	linear	PROPN
ejpam-6228	267	9	relations	relation	NOUN
ejpam-6228	267	10	exist	exist	VERB
ejpam-6228	267	11	between	between	ADP
ejpam-6228	267	12	input	input	NOUN
ejpam-6228	267	13	and	and	CCONJ
ejpam-6228	267	14	output	output	NOUN
ejpam-6228	267	15	bits	bit	NOUN
ejpam-6228	267	16	,	,	PUNCT
ejpam-6228	267	17	they	they	PRON
ejpam-6228	267	18	can451	can451	PROPN
ejpam-6228	267	19	be	be	AUX
ejpam-6228	267	20	used	use	VERB
ejpam-6228	267	21	for	for	ADP
ejpam-6228	267	22	the	the	DET
ejpam-6228	267	23	application	application	NOUN
ejpam-6228	267	24	of	of	ADP
ejpam-6228	267	25	linear	linear	ADJ
ejpam-6228	267	26	cryptanalysis	cryptanalysis	NOUN
ejpam-6228	267	27	against	against	ADP
ejpam-6228	267	28	the	the	DET
ejpam-6228	267	29	encryption	encryption	NOUN
ejpam-6228	267	30	system	system	NOUN
ejpam-6228	267	31	.	.	PUNCT
ejpam-6228	268	1	in	in	ADP
ejpam-6228	268	2	a	a	DET
ejpam-6228	268	3	well-452	well-452	NOUN
ejpam-6228	268	4	designed	design	VERB
ejpam-6228	268	5	s	s	NOUN
ejpam-6228	268	6	-	-	NOUN
ejpam-6228	268	7	box	box	NOUN
ejpam-6228	268	8	,	,	PUNCT
ejpam-6228	268	9	the	the	DET
ejpam-6228	268	10	substitution	substitution	NOUN
ejpam-6228	268	11	process	process	NOUN
ejpam-6228	268	12	should	should	AUX
ejpam-6228	268	13	be	be	AUX
ejpam-6228	268	14	highly	highly	ADV
ejpam-6228	268	15	nonlinear	nonlinear	ADJ
ejpam-6228	268	16	and	and	CCONJ
ejpam-6228	268	17	unpredictable	unpredictable	ADJ
ejpam-6228	268	18	,	,	PUNCT
ejpam-6228	268	19	and453	and453	VERB
ejpam-6228	268	20	there	there	PRON
ejpam-6228	268	21	should	should	AUX
ejpam-6228	268	22	be	be	AUX
ejpam-6228	268	23	a	a	DET
ejpam-6228	268	24	minimum	minimum	ADJ
ejpam-6228	268	25	linear	linear	NOUN
ejpam-6228	268	26	structure	structure	NOUN
ejpam-6228	268	27	.	.	PUNCT
ejpam-6228	269	1	non	non	ADJ
ejpam-6228	269	2	-	-	ADJ
ejpam-6228	269	3	affine	affine	ADJ
ejpam-6228	269	4	transformations	transformation	NOUN
ejpam-6228	269	5	,	,	PUNCT
ejpam-6228	269	6	modular	modular	ADJ
ejpam-6228	269	7	expo-454	expo-454	NOUN
ejpam-6228	269	8	nentiation	nentiation	NOUN
ejpam-6228	269	9	and	and	CCONJ
ejpam-6228	269	10	quaternion	quaternion	NOUN
ejpam-6228	269	11	rotations	rotation	NOUN
ejpam-6228	269	12	on	on	ADP
ejpam-6228	269	13	the	the	DET
ejpam-6228	269	14	multidimensional	multidimensional	ADJ
ejpam-6228	269	15	quaternion	quaternion	NOUN
ejpam-6228	269	16	space	space	NOUN
ejpam-6228	269	17	are	be	AUX
ejpam-6228	269	18	applied455	applied455	PROPN
ejpam-6228	269	19	to	to	PART
ejpam-6228	269	20	obtain	obtain	VERB
ejpam-6228	269	21	quaternion	quaternion	NOUN
ejpam-6228	269	22	-	-	PUNCT
ejpam-6228	269	23	based	base	VERB
ejpam-6228	269	24	s	s	NOUN
ejpam-6228	269	25	-	-	PUNCT
ejpam-6228	269	26	boxes	box	NOUN
ejpam-6228	269	27	where	where	SCONJ
ejpam-6228	269	28	scalar	scalar	ADJ
ejpam-6228	269	29	and	and	CCONJ
ejpam-6228	269	30	vector	vector	NOUN
ejpam-6228	269	31	parts	part	NOUN
ejpam-6228	269	32	are	be	AUX
ejpam-6228	269	33	generated	generate	VERB
ejpam-6228	269	34	separately456	separately456	PROPN
ejpam-6228	269	35	under	under	ADP
ejpam-6228	269	36	quaternion	quaternion	ADJ
ejpam-6228	269	37	linear	linear	NOUN
ejpam-6228	269	38	transformations	transformation	NOUN
ejpam-6228	269	39	without	without	ADP
ejpam-6228	269	40	linear	linear	NOUN
ejpam-6228	269	41	dependencies	dependency	NOUN
ejpam-6228	269	42	.	.	PUNCT
ejpam-6228	270	1	the	the	DET
ejpam-6228	270	2	scalar	scalar	ADJ
ejpam-6228	270	3	s	s	NOUN
ejpam-6228	270	4	-	-	PUNCT
ejpam-6228	270	5	box457	box457	PROPN
ejpam-6228	270	6	is	be	AUX
ejpam-6228	270	7	there	there	ADV
ejpam-6228	270	8	to	to	PART
ejpam-6228	270	9	ensure	ensure	VERB
ejpam-6228	270	10	the	the	DET
ejpam-6228	270	11	real	real	ADJ
ejpam-6228	270	12	number	number	NOUN
ejpam-6228	270	13	transformations	transformation	NOUN
ejpam-6228	270	14	make	make	VERB
ejpam-6228	270	15	inimitable	inimitable	ADJ
ejpam-6228	270	16	patterns	pattern	NOUN
ejpam-6228	270	17	,	,	PUNCT
ejpam-6228	270	18	and	and	CCONJ
ejpam-6228	270	19	the458	the458	ADJ
ejpam-6228	270	20	vector	vector	NOUN
ejpam-6228	270	21	s	s	NOUN
ejpam-6228	270	22	-	-	NOUN
ejpam-6228	270	23	box	box	NOUN
ejpam-6228	270	24	,	,	PUNCT
ejpam-6228	270	25	which	which	PRON
ejpam-6228	270	26	concerns	concern	VERB
ejpam-6228	270	27	the	the	DET
ejpam-6228	270	28	imaginary	imaginary	ADJ
ejpam-6228	270	29	parts	part	NOUN
ejpam-6228	270	30	,	,	PUNCT
ejpam-6228	270	31	uses	use	VERB
ejpam-6228	270	32	independent	independent	ADJ
ejpam-6228	270	33	transformations	transformation	NOUN
ejpam-6228	270	34	to459	to459	PROPN
ejpam-6228	270	35	further	far	ADV
ejpam-6228	270	36	boost	boost	VERB
ejpam-6228	270	37	the	the	DET
ejpam-6228	270	38	non	non	ADJ
ejpam-6228	270	39	-	-	NOUN
ejpam-6228	270	40	linearity	linearity	NOUN
ejpam-6228	270	41	.	.	PUNCT
ejpam-6228	271	1	quaternions	quaternion	NOUN
ejpam-6228	271	2	-	-	PUNCT
ejpam-6228	271	3	based	base	VERB
ejpam-6228	271	4	s	s	NOUN
ejpam-6228	271	5	-	-	PUNCT
ejpam-6228	271	6	boxes	box	NOUN
ejpam-6228	271	7	minimize	minimize	VERB
ejpam-6228	271	8	computational	computational	ADJ
ejpam-6228	271	9	cost460	cost460	PROPN
ejpam-6228	271	10	m.	m.	NOUN
ejpam-6228	271	11	sajjad	sajjad	PROPN
ejpam-6228	271	12	,	,	PUNCT
ejpam-6228	271	13	n.	n.	PROPN
ejpam-6228	271	14	a.	a.	NOUN
ejpam-6228	271	15	alqwaifly	alqwaifly	PROPN
ejpam-6228	271	16	/	/	SYM
ejpam-6228	271	17	eur	eur	PROPN
ejpam-6228	271	18	.	.	PUNCT
ejpam-6228	272	1	j.	j.	PROPN
ejpam-6228	272	2	pure	pure	PROPN
ejpam-6228	272	3	appl	appl	PROPN
ejpam-6228	272	4	.	.	PROPN
ejpam-6228	272	5	math	math	PROPN
ejpam-6228	272	6	,	,	PUNCT
ejpam-6228	272	7	18	18	NUM
ejpam-6228	272	8	(	(	PUNCT
ejpam-6228	272	9	2	2	NUM
ejpam-6228	272	10	)	)	PUNCT
ejpam-6228	272	11	(	(	PUNCT
ejpam-6228	272	12	2025	2025	NUM
ejpam-6228	272	13	)	)	PUNCT
ejpam-6228	272	14	,	,	PUNCT
ejpam-6228	272	15	6228	6228	NUM
ejpam-6228	272	16	18	18	NUM
ejpam-6228	272	17	of	of	ADP
ejpam-6228	272	18	35	35	NUM
ejpam-6228	272	19	and	and	CCONJ
ejpam-6228	272	20	minimize	minimize	VERB
ejpam-6228	272	21	linear	linear	ADJ
ejpam-6228	272	22	structure	structure	NOUN
ejpam-6228	272	23	,	,	PUNCT
ejpam-6228	272	24	resulting	result	VERB
ejpam-6228	272	25	in	in	ADP
ejpam-6228	272	26	high	high	ADJ
ejpam-6228	272	27	resistance	resistance	NOUN
ejpam-6228	272	28	to	to	PART
ejpam-6228	272	29	linear	linear	VERB
ejpam-6228	272	30	cryptanalysis	cryptanalysis	NOUN
ejpam-6228	272	31	,	,	PUNCT
ejpam-6228	272	32	and	and	CCONJ
ejpam-6228	272	33	are461	are461	ADV
ejpam-6228	272	34	thus	thus	ADV
ejpam-6228	272	35	ideal	ideal	ADJ
ejpam-6228	272	36	for	for	ADP
ejpam-6228	272	37	secure	secure	ADJ
ejpam-6228	272	38	encryption	encryption	NOUN
ejpam-6228	272	39	protocols	protocol	NOUN
ejpam-6228	272	40	,	,	PUNCT
ejpam-6228	272	41	block	block	NOUN
ejpam-6228	272	42	ciphers	cipher	NOUN
ejpam-6228	272	43	and	and	CCONJ
ejpam-6228	272	44	other	other	ADJ
ejpam-6228	272	45	cryptographic	cryptographic	ADJ
ejpam-6228	272	46	appli-462	appli-462	ADJ
ejpam-6228	272	47	cations	cation	NOUN
ejpam-6228	272	48	needing	need	VERB
ejpam-6228	272	49	strong	strong	ADJ
ejpam-6228	272	50	nonlinearity	nonlinearity	NOUN
ejpam-6228	272	51	[	[	X
ejpam-6228	272	52	4	4	NUM
ejpam-6228	272	53	,	,	PUNCT
ejpam-6228	272	54	15	15	NUM
ejpam-6228	272	55	]	]	PUNCT
ejpam-6228	272	56	.	.	PUNCT
ejpam-6228	273	1	the	the	DET
ejpam-6228	273	2	linear	linear	ADJ
ejpam-6228	273	3	structure	structure	NOUN
ejpam-6228	273	4	comparison	comparison	NOUN
ejpam-6228	273	5	is	be	AUX
ejpam-6228	273	6	given	give	VERB
ejpam-6228	273	7	in463	in463	PROPN
ejpam-6228	273	8	table	table	NOUN
ejpam-6228	273	9	15.464	15.464	NUM
ejpam-6228	273	10	table	table	NOUN
ejpam-6228	273	11	15	15	NUM
ejpam-6228	273	12	:	:	PUNCT
ejpam-6228	273	13	comparative	comparative	ADJ
ejpam-6228	273	14	analysis	analysis	NOUN
ejpam-6228	273	15	of	of	ADP
ejpam-6228	273	16	dbn	dbn	PROPN
ejpam-6228	273	17	,	,	PUNCT
ejpam-6228	273	18	lbn	lbn	PROPN
ejpam-6228	273	19	,	,	PUNCT
ejpam-6228	273	20	fp	fp	X
ejpam-6228	273	21	,	,	PUNCT
ejpam-6228	273	22	and	and	CCONJ
ejpam-6228	273	23	ls	ls	ADJ
ejpam-6228	273	24	s	s	NOUN
ejpam-6228	273	25	-	-	PUNCT
ejpam-6228	273	26	boxes	box	NOUN
ejpam-6228	273	27	dbn	dbn	PROPN
ejpam-6228	273	28	lbn	lbn	PROPN
ejpam-6228	274	1	fp	fp	INTJ
ejpam-6228	274	2	ls	ls	X
ejpam-6228	274	3	ss	ss	NOUN
ejpam-6228	274	4	1	1	NUM
ejpam-6228	274	5	1	1	NUM
ejpam-6228	274	6	1	1	NUM
ejpam-6228	274	7	0	0	NUM
ejpam-6228	274	8	sv	sv	NOUN
ejpam-6228	274	9	1	1	NUM
ejpam-6228	274	10	1	1	NUM
ejpam-6228	274	11	1	1	NUM
ejpam-6228	274	12	0	0	NUM
ejpam-6228	275	1	[	[	X
ejpam-6228	275	2	15	15	NUM
ejpam-6228	275	3	]	]	SYM
ejpam-6228	275	4	2	2	NUM
ejpam-6228	275	5	2	2	NUM
ejpam-6228	275	6	2	2	NUM
ejpam-6228	275	7	0	0	NUM
ejpam-6228	276	1	[	[	X
ejpam-6228	276	2	4	4	NUM
ejpam-6228	276	3	]	]	SYM
ejpam-6228	276	4	1	1	NUM
ejpam-6228	276	5	2	2	NUM
ejpam-6228	276	6	2	2	NUM
ejpam-6228	276	7	0	0	NUM
ejpam-6228	276	8	5	5	NUM
ejpam-6228	276	9	.	.	PUNCT
ejpam-6228	276	10	multiple	multiple	ADJ
ejpam-6228	276	11	rgb	rgb	PROPN
ejpam-6228	276	12	image	image	NOUN
ejpam-6228	276	13	algorithm	algorithm	NOUN
ejpam-6228	276	14	over	over	ADP
ejpam-6228	276	15	quaternion	quaternion	NOUN
ejpam-6228	276	16	integers465	integers465	PROPN
ejpam-6228	276	17	(	(	PUNCT
ejpam-6228	276	18	i	i	NOUN
ejpam-6228	276	19	)	)	PUNCT
ejpam-6228	276	20	input	input	NOUN
ejpam-6228	276	21	preparation	preparation	NOUN
ejpam-6228	276	22	:	:	PUNCT
ejpam-6228	276	23	first	first	ADV
ejpam-6228	276	24	,	,	PUNCT
ejpam-6228	276	25	the	the	DET
ejpam-6228	276	26	rgb	rgb	PROPN
ejpam-6228	276	27	images	image	NOUN
ejpam-6228	276	28	which	which	PRON
ejpam-6228	276	29	need	need	VERB
ejpam-6228	276	30	to	to	PART
ejpam-6228	276	31	be	be	AUX
ejpam-6228	276	32	protected	protect	VERB
ejpam-6228	276	33	are	be	AUX
ejpam-6228	276	34	im-466	im-466	PROPN
ejpam-6228	276	35	ported	port	VERB
ejpam-6228	276	36	,	,	PUNCT
ejpam-6228	276	37	and	and	CCONJ
ejpam-6228	276	38	the	the	DET
ejpam-6228	276	39	encryption	encryption	NOUN
ejpam-6228	276	40	process	process	NOUN
ejpam-6228	276	41	starts	start	VERB
ejpam-6228	276	42	.	.	PUNCT
ejpam-6228	277	1	images	image	NOUN
ejpam-6228	277	2	stored	store	VERB
ejpam-6228	277	3	in	in	ADP
ejpam-6228	277	4	the	the	DET
ejpam-6228	277	5	rgb	rgb	PROPN
ejpam-6228	277	6	color	color	NOUN
ejpam-6228	277	7	model467	model467	PROPN
ejpam-6228	277	8	have	have	VERB
ejpam-6228	277	9	each	each	DET
ejpam-6228	277	10	pixel	pixel	NOUN
ejpam-6228	277	11	consisting	consist	VERB
ejpam-6228	277	12	of	of	ADP
ejpam-6228	277	13	a	a	DET
ejpam-6228	277	14	combination	combination	NOUN
ejpam-6228	277	15	of	of	ADP
ejpam-6228	277	16	red	red	ADJ
ejpam-6228	277	17	,	,	PUNCT
ejpam-6228	277	18	green	green	ADJ
ejpam-6228	277	19	and	and	CCONJ
ejpam-6228	277	20	blue	blue	ADJ
ejpam-6228	277	21	values	value	NOUN
ejpam-6228	277	22	.	.	PUNCT
ejpam-6228	278	1	in	in	ADP
ejpam-6228	278	2	order	order	NOUN
ejpam-6228	278	3	to468	to468	NOUN
ejpam-6228	278	4	achieve	achieve	VERB
ejpam-6228	278	5	encryption	encryption	NOUN
ejpam-6228	278	6	,	,	PUNCT
ejpam-6228	278	7	the	the	DET
ejpam-6228	278	8	pixel	pixel	PROPN
ejpam-6228	278	9	values	value	NOUN
ejpam-6228	278	10	of	of	ADP
ejpam-6228	278	11	the	the	DET
ejpam-6228	278	12	image	image	NOUN
ejpam-6228	278	13	channels	channel	NOUN
ejpam-6228	278	14	are	be	AUX
ejpam-6228	278	15	mapped	map	VERB
ejpam-6228	278	16	to	to	ADP
ejpam-6228	278	17	elements469	elements469	PROPN
ejpam-6228	278	18	of	of	ADP
ejpam-6228	278	19	the	the	DET
ejpam-6228	278	20	quaternion	quaternion	NOUN
ejpam-6228	278	21	integer	integer	NOUN
ejpam-6228	278	22	set	set	VERB
ejpam-6228	278	23	h(k)δ	h(k)δ	PROPN
ejpam-6228	278	24	.	.	PUNCT
ejpam-6228	279	1	specifically	specifically	ADV
ejpam-6228	279	2	,	,	PUNCT
ejpam-6228	279	3	this	this	DET
ejpam-6228	279	4	mapping	mapping	NOUN
ejpam-6228	279	5	ensures	ensure	VERB
ejpam-6228	279	6	that	that	SCONJ
ejpam-6228	279	7	the470	the470	NUM
ejpam-6228	279	8	encryption	encryption	NOUN
ejpam-6228	279	9	scheme	scheme	NOUN
ejpam-6228	279	10	is	be	AUX
ejpam-6228	279	11	conducted	conduct	VERB
ejpam-6228	279	12	in	in	ADP
ejpam-6228	279	13	the	the	DET
ejpam-6228	279	14	quaternion	quaternion	NOUN
ejpam-6228	279	15	domain	domain	NOUN
ejpam-6228	279	16	with	with	ADP
ejpam-6228	279	17	the	the	DET
ejpam-6228	279	18	dip	dip	NOUN
ejpam-6228	279	19	advantage	advantage	NOUN
ejpam-6228	279	20	of471	of471	NOUN
ejpam-6228	279	21	the	the	DET
ejpam-6228	279	22	quaternion	quaternion	ADJ
ejpam-6228	279	23	algebraic	algebraic	ADJ
ejpam-6228	279	24	structure	structure	NOUN
ejpam-6228	279	25	to	to	PART
ejpam-6228	279	26	provide	provide	VERB
ejpam-6228	279	27	enhanced	enhanced	ADJ
ejpam-6228	279	28	security.472	security.472	NOUN
ejpam-6228	279	29	(	(	PUNCT
ejpam-6228	279	30	ii	ii	NOUN
ejpam-6228	279	31	)	)	PUNCT
ejpam-6228	279	32	s	s	PROPN
ejpam-6228	279	33	-	-	PUNCT
ejpam-6228	279	34	box	box	NOUN
ejpam-6228	279	35	construction	construction	NOUN
ejpam-6228	279	36	:	:	PUNCT
ejpam-6228	279	37	using	use	VERB
ejpam-6228	279	38	quaternion	quaternion	NOUN
ejpam-6228	279	39	integer	integer	NOUN
ejpam-6228	279	40	residue	residue	NOUN
ejpam-6228	279	41	classes	class	NOUN
ejpam-6228	279	42	h(k)δ	h(k)δ	PROPN
ejpam-6228	279	43	,	,	PUNCT
ejpam-6228	279	44	two	two	NUM
ejpam-6228	279	45	8	8	NUM
ejpam-6228	279	46	×	×	NOUN
ejpam-6228	279	47	8473	8473	NUM
ejpam-6228	279	48	s	s	NOUN
ejpam-6228	279	49	-	-	PUNCT
ejpam-6228	279	50	boxes	box	NOUN
ejpam-6228	279	51	are	be	AUX
ejpam-6228	279	52	constructed	construct	VERB
ejpam-6228	279	53	ss	ss	NOUN
ejpam-6228	279	54	and	and	CCONJ
ejpam-6228	279	55	sv	sv	PROPN
ejpam-6228	279	56	.	.	PUNCT
ejpam-6228	280	1	the	the	DET
ejpam-6228	280	2	introduction	introduction	NOUN
ejpam-6228	280	3	of	of	ADP
ejpam-6228	280	4	nonlinearity	nonlinearity	NOUN
ejpam-6228	280	5	and	and	CCONJ
ejpam-6228	280	6	complexity474	complexity474	PROPN
ejpam-6228	280	7	with	with	ADP
ejpam-6228	280	8	these	these	DET
ejpam-6228	280	9	structures	structure	NOUN
ejpam-6228	280	10	is	be	AUX
ejpam-6228	280	11	important	important	ADJ
ejpam-6228	280	12	,	,	PUNCT
ejpam-6228	280	13	as	as	SCONJ
ejpam-6228	280	14	they	they	PRON
ejpam-6228	280	15	enormously	enormously	ADV
ejpam-6228	280	16	strengthen	strengthen	VERB
ejpam-6228	280	17	the	the	DET
ejpam-6228	280	18	encryption.475	encryption.475	PROPN
ejpam-6228	280	19	the	the	DET
ejpam-6228	280	20	use	use	NOUN
ejpam-6228	280	21	of	of	ADP
ejpam-6228	280	22	quaternion	quaternion	NOUN
ejpam-6228	280	23	arithmetic	arithmetic	NOUN
ejpam-6228	280	24	has	have	VERB
ejpam-6228	280	25	a	a	DET
ejpam-6228	280	26	unique	unique	ADJ
ejpam-6228	280	27	set	set	NOUN
ejpam-6228	280	28	of	of	ADP
ejpam-6228	280	29	properties	property	NOUN
ejpam-6228	280	30	that	that	PRON
ejpam-6228	280	31	are	be	AUX
ejpam-6228	280	32	more	more	ADV
ejpam-6228	280	33	re-476	re-476	PROPN
ejpam-6228	280	34	sistant	sistant	ADJ
ejpam-6228	280	35	to	to	ADP
ejpam-6228	280	36	cryptographic	cryptographic	ADJ
ejpam-6228	280	37	breaking	breaking	NOUN
ejpam-6228	280	38	attacks	attack	NOUN
ejpam-6228	280	39	than	than	ADP
ejpam-6228	280	40	what	what	PRON
ejpam-6228	280	41	is	be	AUX
ejpam-6228	280	42	provided	provide	VERB
ejpam-6228	280	43	using	use	VERB
ejpam-6228	280	44	integer	integer	NOUN
ejpam-6228	280	45	-	-	PUNCT
ejpam-6228	280	46	based477	based477	NOUN
ejpam-6228	280	47	approaches.478	approaches.478	PROPN
ejpam-6228	280	48	(	(	PUNCT
ejpam-6228	280	49	iii	iii	NOUN
ejpam-6228	280	50	)	)	PUNCT
ejpam-6228	280	51	spn	spn	PROPN
ejpam-6228	280	52	framework	framework	PROPN
ejpam-6228	280	53	:	:	PUNCT
ejpam-6228	280	54	the	the	DET
ejpam-6228	280	55	encryption	encryption	NOUN
ejpam-6228	280	56	scheme	scheme	NOUN
ejpam-6228	280	57	is	be	AUX
ejpam-6228	280	58	developed	develop	VERB
ejpam-6228	280	59	in	in	ADP
ejpam-6228	280	60	the	the	DET
ejpam-6228	280	61	spn	spn	PROPN
ejpam-6228	280	62	framework,479	framework,479	PROPN
ejpam-6228	280	63	and	and	CCONJ
ejpam-6228	280	64	the	the	DET
ejpam-6228	280	65	security	security	NOUN
ejpam-6228	280	66	of	of	ADP
ejpam-6228	280	67	multiple	multiple	ADJ
ejpam-6228	280	68	rgb	rgb	PROPN
ejpam-6228	280	69	images	image	NOUN
ejpam-6228	280	70	is	be	AUX
ejpam-6228	280	71	improved	improve	VERB
ejpam-6228	280	72	by	by	ADP
ejpam-6228	280	73	the	the	DET
ejpam-6228	280	74	following	follow	VERB
ejpam-6228	280	75	three	three	NUM
ejpam-6228	280	76	steps:480	steps:480	NOUN
ejpam-6228	280	77	substitution	substitution	NOUN
ejpam-6228	280	78	step	step	NOUN
ejpam-6228	280	79	:	:	PUNCT
ejpam-6228	280	80	of	of	ADP
ejpam-6228	280	81	the	the	DET
ejpam-6228	280	82	stages	stage	NOUN
ejpam-6228	280	83	,	,	PUNCT
ejpam-6228	280	84	the	the	DET
ejpam-6228	280	85	first	first	ADJ
ejpam-6228	280	86	is	be	AUX
ejpam-6228	280	87	the	the	DET
ejpam-6228	280	88	substitution	substitution	NOUN
ejpam-6228	280	89	step	step	NOUN
ejpam-6228	280	90	,	,	PUNCT
ejpam-6228	280	91	where	where	SCONJ
ejpam-6228	280	92	the	the	DET
ejpam-6228	280	93	con-481	con-481	NOUN
ejpam-6228	280	94	fusion	fusion	NOUN
ejpam-6228	280	95	is	be	AUX
ejpam-6228	280	96	introduced	introduce	VERB
ejpam-6228	280	97	using	use	VERB
ejpam-6228	280	98	s	s	NOUN
ejpam-6228	280	99	-	-	PUNCT
ejpam-6228	280	100	box	box	NOUN
ejpam-6228	280	101	ss	ss	PROPN
ejpam-6228	280	102	.	.	PUNCT
ejpam-6228	281	1	then	then	ADV
ejpam-6228	281	2	substitute	substitute	VERB
ejpam-6228	281	3	every	every	DET
ejpam-6228	281	4	one	one	NUM
ejpam-6228	281	5	of	of	ADP
ejpam-6228	281	6	the	the	DET
ejpam-6228	281	7	red	red	NOUN
ejpam-6228	281	8	,	,	PUNCT
ejpam-6228	281	9	green,482	green,482	PROPN
ejpam-6228	281	10	and	and	CCONJ
ejpam-6228	281	11	blue	blue	ADJ
ejpam-6228	281	12	channel	channel	NOUN
ejpam-6228	281	13	pixels	pixel	NOUN
ejpam-6228	281	14	accordingly	accordingly	ADV
ejpam-6228	281	15	by	by	ADP
ejpam-6228	281	16	a	a	DET
ejpam-6228	281	17	substitution	substitution	NOUN
ejpam-6228	281	18	operation	operation	NOUN
ejpam-6228	281	19	which	which	PRON
ejpam-6228	281	20	replaces	replace	VERB
ejpam-6228	281	21	the483	the483	PROPN
ejpam-6228	281	22	input	input	NOUN
ejpam-6228	281	23	values	value	NOUN
ejpam-6228	281	24	with	with	ADP
ejpam-6228	281	25	the	the	DET
ejpam-6228	281	26	corresponding	correspond	VERB
ejpam-6228	281	27	outputs	output	NOUN
ejpam-6228	281	28	from	from	ADP
ejpam-6228	281	29	ss	ss	PROPN
ejpam-6228	281	30	.	.	PUNCT
ejpam-6228	282	1	thus	thus	ADV
ejpam-6228	282	2	,	,	PUNCT
ejpam-6228	282	3	quaternion	quaternion	NOUN
ejpam-6228	282	4	-	-	PUNCT
ejpam-6228	282	5	integer-484	integer-484	NOUN
ejpam-6228	282	6	based	base	VERB
ejpam-6228	282	7	s	s	NOUN
ejpam-6228	282	8	-	-	PUNCT
ejpam-6228	282	9	boxes	box	NOUN
ejpam-6228	282	10	allow	allow	VERB
ejpam-6228	282	11	high	high	ADJ
ejpam-6228	282	12	nonlinearity	nonlinearity	NOUN
ejpam-6228	282	13	,	,	PUNCT
ejpam-6228	282	14	rendering	render	VERB
ejpam-6228	282	15	it	it	PRON
ejpam-6228	282	16	much	much	ADV
ejpam-6228	282	17	more	more	ADV
ejpam-6228	282	18	difficult	difficult	ADJ
ejpam-6228	282	19	to	to	PART
ejpam-6228	282	20	carry	carry	VERB
ejpam-6228	282	21	out485	out485	PROPN
ejpam-6228	282	22	a	a	DET
ejpam-6228	282	23	study	study	NOUN
ejpam-6228	282	24	,	,	PUNCT
ejpam-6228	282	25	particularly	particularly	ADV
ejpam-6228	282	26	on	on	ADP
ejpam-6228	282	27	linear	linear	ADJ
ejpam-6228	282	28	and	and	CCONJ
ejpam-6228	282	29	differential	differential	ADJ
ejpam-6228	282	30	attacks	attack	NOUN
ejpam-6228	282	31	.	.	PUNCT
ejpam-6228	283	1	permutation	permutation	NOUN
ejpam-6228	283	2	step	step	NOUN
ejpam-6228	283	3	:	:	PUNCT
ejpam-6228	283	4	the486	the486	PROPN
ejpam-6228	283	5	s	s	PROPN
ejpam-6228	283	6	-	-	PUNCT
ejpam-6228	283	7	box	box	NOUN
ejpam-6228	283	8	sv	sv	PROPN
ejpam-6228	283	9	is	be	AUX
ejpam-6228	283	10	used	use	VERB
ejpam-6228	283	11	in	in	ADP
ejpam-6228	283	12	the	the	DET
ejpam-6228	283	13	second	second	ADJ
ejpam-6228	283	14	stage	stage	NOUN
ejpam-6228	283	15	to	to	PART
ejpam-6228	283	16	perform	perform	VERB
ejpam-6228	283	17	a	a	DET
ejpam-6228	283	18	permutation	permutation	NOUN
ejpam-6228	283	19	step	step	NOUN
ejpam-6228	283	20	,	,	PUNCT
ejpam-6228	283	21	which	which	PRON
ejpam-6228	283	22	improves487	improves487	PROPN
ejpam-6228	283	23	the	the	DET
ejpam-6228	283	24	diffusion	diffusion	NOUN
ejpam-6228	283	25	properties	property	NOUN
ejpam-6228	283	26	by	by	ADP
ejpam-6228	283	27	redistributing	redistribute	VERB
ejpam-6228	283	28	transformed	transform	VERB
ejpam-6228	283	29	pixel	pixel	ADJ
ejpam-6228	283	30	values	value	NOUN
ejpam-6228	283	31	.	.	PUNCT
ejpam-6228	284	1	the	the	DET
ejpam-6228	284	2	reordering488	reordering488	PROPN
ejpam-6228	284	3	of	of	ADP
ejpam-6228	284	4	each	each	DET
ejpam-6228	284	5	rgb	rgb	PROPN
ejpam-6228	284	6	channel	channel	NOUN
ejpam-6228	284	7	is	be	AUX
ejpam-6228	284	8	independent	independent	ADJ
ejpam-6228	284	9	of	of	ADP
ejpam-6228	284	10	each	each	DET
ejpam-6228	284	11	other	other	ADJ
ejpam-6228	284	12	,	,	PUNCT
ejpam-6228	284	13	eliminating	eliminate	VERB
ejpam-6228	284	14	substitution	substitution	NOUN
ejpam-6228	284	15	-	-	PUNCT
ejpam-6228	284	16	induced489	induced489	PROPN
ejpam-6228	284	17	correlations	correlation	NOUN
ejpam-6228	284	18	for	for	ADP
ejpam-6228	284	19	a	a	DET
ejpam-6228	284	20	reduced	reduce	VERB
ejpam-6228	284	21	chance	chance	NOUN
ejpam-6228	284	22	for	for	ADP
ejpam-6228	284	23	pattern	pattern	NOUN
ejpam-6228	284	24	detection	detection	NOUN
ejpam-6228	284	25	from	from	ADP
ejpam-6228	284	26	attackers	attacker	NOUN
ejpam-6228	284	27	.	.	PUNCT
ejpam-6228	285	1	this	this	PRON
ejpam-6228	285	2	process490	process490	PROPN
ejpam-6228	285	3	is	be	AUX
ejpam-6228	285	4	enhanced	enhance	VERB
ejpam-6228	285	5	by	by	ADP
ejpam-6228	285	6	adding	add	VERB
ejpam-6228	285	7	the	the	DET
ejpam-6228	285	8	quaternion	quaternion	ADJ
ejpam-6228	285	9	integer	integer	NOUN
ejpam-6228	285	10	domain	domain	NOUN
ejpam-6228	285	11	,	,	PUNCT
ejpam-6228	285	12	which	which	PRON
ejpam-6228	285	13	increases	increase	VERB
ejpam-6228	285	14	the	the	DET
ejpam-6228	285	15	number491	number491	PROPN
ejpam-6228	285	16	m.	m.	NOUN
ejpam-6228	285	17	sajjad	sajjad	PROPN
ejpam-6228	285	18	,	,	PUNCT
ejpam-6228	285	19	n.	n.	PROPN
ejpam-6228	285	20	a.	a.	NOUN
ejpam-6228	285	21	alqwaifly	alqwaifly	PROPN
ejpam-6228	285	22	/	/	SYM
ejpam-6228	285	23	eur	eur	PROPN
ejpam-6228	285	24	.	.	PUNCT
ejpam-6228	286	1	j.	j.	PROPN
ejpam-6228	286	2	pure	pure	PROPN
ejpam-6228	286	3	appl	appl	PROPN
ejpam-6228	286	4	.	.	PROPN
ejpam-6228	286	5	math	math	PROPN
ejpam-6228	286	6	,	,	PUNCT
ejpam-6228	286	7	18	18	NUM
ejpam-6228	286	8	(	(	PUNCT
ejpam-6228	286	9	2	2	NUM
ejpam-6228	286	10	)	)	PUNCT
ejpam-6228	286	11	(	(	PUNCT
ejpam-6228	286	12	2025	2025	NUM
ejpam-6228	286	13	)	)	PUNCT
ejpam-6228	286	14	,	,	PUNCT
ejpam-6228	286	15	6228	6228	NUM
ejpam-6228	286	16	19	19	NUM
ejpam-6228	286	17	of	of	ADP
ejpam-6228	286	18	35	35	NUM
ejpam-6228	286	19	structure	structure	NOUN
ejpam-6228	286	20	to	to	ADP
ejpam-6228	286	21	a	a	DET
ejpam-6228	286	22	more	more	ADV
ejpam-6228	286	23	complex	complex	ADJ
ejpam-6228	286	24	number	number	NOUN
ejpam-6228	286	25	and	and	CCONJ
ejpam-6228	286	26	disrupts	disrupt	VERB
ejpam-6228	286	27	statistical	statistical	ADJ
ejpam-6228	286	28	relations	relation	NOUN
ejpam-6228	286	29	further	far	ADV
ejpam-6228	286	30	.	.	PUNCT
ejpam-6228	287	1	fi-492	fi-492	PROPN
ejpam-6228	287	2	nal	nal	PROPN
ejpam-6228	287	3	xor	xor	PROPN
ejpam-6228	287	4	operation	operation	NOUN
ejpam-6228	287	5	:	:	PUNCT
ejpam-6228	287	6	the	the	DET
ejpam-6228	287	7	generation	generation	NOUN
ejpam-6228	287	8	of	of	ADP
ejpam-6228	287	9	s′-box	s′-box	NOUN
ejpam-6228	287	10	depends	depend	VERB
ejpam-6228	287	11	on	on	ADP
ejpam-6228	287	12	performing	perform	VERB
ejpam-6228	287	13	an	an	DET
ejpam-6228	287	14	xor493	xor493	PROPN
ejpam-6228	287	15	operation	operation	NOUN
ejpam-6228	287	16	between	between	ADP
ejpam-6228	287	17	ss	ss	PROPN
ejpam-6228	287	18	and	and	CCONJ
ejpam-6228	287	19	sv	sv	PROPN
ejpam-6228	287	20	which	which	PRON
ejpam-6228	287	21	marks	mark	VERB
ejpam-6228	287	22	the	the	DET
ejpam-6228	287	23	final	final	ADJ
ejpam-6228	287	24	transformation	transformation	NOUN
ejpam-6228	287	25	.	.	PUNCT
ejpam-6228	288	1	security	security	NOUN
ejpam-6228	288	2	reaches494	reaches494	PROPN
ejpam-6228	288	3	its	its	PRON
ejpam-6228	288	4	highest	high	ADJ
ejpam-6228	288	5	mark	mark	NOUN
ejpam-6228	288	6	in	in	ADP
ejpam-6228	288	7	the	the	DET
ejpam-6228	288	8	last	last	ADJ
ejpam-6228	288	9	step	step	NOUN
ejpam-6228	288	10	,	,	PUNCT
ejpam-6228	288	11	which	which	PRON
ejpam-6228	288	12	introduces	introduce	VERB
ejpam-6228	288	13	additional	additional	ADJ
ejpam-6228	288	14	randomization	randomization	NOUN
ejpam-6228	288	15	.	.	PUNCT
ejpam-6228	289	1	the495	the495	NOUN
ejpam-6228	289	2	pixel	pixel	NOUN
ejpam-6228	289	3	values	value	NOUN
ejpam-6228	289	4	in	in	ADP
ejpam-6228	289	5	digital	digital	ADJ
ejpam-6228	289	6	images	image	NOUN
ejpam-6228	289	7	experience	experience	VERB
ejpam-6228	289	8	an	an	DET
ejpam-6228	289	9	xor	xor	PROPN
ejpam-6228	289	10	operation	operation	NOUN
ejpam-6228	289	11	using	use	VERB
ejpam-6228	289	12	rendering	rendering	NOUN
ejpam-6228	289	13	;	;	PUNCT
ejpam-6228	289	14	it	it	PRON
ejpam-6228	289	15	is496	is496	VERB
ejpam-6228	289	16	impractical	impractical	ADJ
ejpam-6228	289	17	for	for	SCONJ
ejpam-6228	289	18	hackers	hacker	NOUN
ejpam-6228	289	19	to	to	PART
ejpam-6228	289	20	perform	perform	VERB
ejpam-6228	289	21	keyless	keyless	ADJ
ejpam-6228	289	22	reconstruction	reconstruction	NOUN
ejpam-6228	289	23	of	of	ADP
ejpam-6228	289	24	transformations	transformation	NOUN
ejpam-6228	289	25	.	.	PUNCT
ejpam-6228	290	1	the497	the497	NOUN
ejpam-6228	290	2	decryption	decryption	NOUN
ejpam-6228	290	3	process	process	NOUN
ejpam-6228	290	4	remains	remain	VERB
ejpam-6228	290	5	possible	possible	ADJ
ejpam-6228	290	6	only	only	ADV
ejpam-6228	290	7	through	through	ADP
ejpam-6228	290	8	the	the	DET
ejpam-6228	290	9	precise	precise	ADJ
ejpam-6228	290	10	encryption	encryption	NOUN
ejpam-6228	290	11	key	key	NOUN
ejpam-6228	290	12	that498	that498	PROPN
ejpam-6228	290	13	was	be	AUX
ejpam-6228	290	14	originally	originally	ADV
ejpam-6228	290	15	used	use	VERB
ejpam-6228	290	16	in	in	ADP
ejpam-6228	290	17	the	the	DET
ejpam-6228	290	18	process.499	process.499	PROPN
ejpam-6228	290	19	(	(	PUNCT
ejpam-6228	290	20	iv	iv	NOUN
ejpam-6228	290	21	)	)	PUNCT
ejpam-6228	290	22	final	final	ADJ
ejpam-6228	290	23	transformation	transformation	NOUN
ejpam-6228	290	24	:	:	PUNCT
ejpam-6228	290	25	every	every	DET
ejpam-6228	290	26	rgb	rgb	PROPN
ejpam-6228	290	27	channel	channel	NOUN
ejpam-6228	290	28	receives	receive	VERB
ejpam-6228	290	29	a	a	DET
ejpam-6228	290	30	transformation	transformation	NOUN
ejpam-6228	290	31	through500	through500	PROPN
ejpam-6228	290	32	the	the	DET
ejpam-6228	290	33	spn	spn	PROPN
ejpam-6228	290	34	process	process	NOUN
ejpam-6228	290	35	which	which	PRON
ejpam-6228	290	36	optimizes	optimize	VERB
ejpam-6228	290	37	confusion	confusion	NOUN
ejpam-6228	290	38	and	and	CCONJ
ejpam-6228	290	39	diffusion	diffusion	NOUN
ejpam-6228	290	40	across	across	ADP
ejpam-6228	290	41	the	the	DET
ejpam-6228	290	42	complete	complete	ADJ
ejpam-6228	290	43	image.501	image.501	NOUN
ejpam-6228	290	44	the	the	DET
ejpam-6228	290	45	purpose	purpose	NOUN
ejpam-6228	290	46	of	of	ADP
ejpam-6228	290	47	this	this	DET
ejpam-6228	290	48	security	security	NOUN
ejpam-6228	290	49	-	-	PUNCT
ejpam-6228	290	50	enhancing	enhance	VERB
ejpam-6228	290	51	step	step	NOUN
ejpam-6228	290	52	is	be	AUX
ejpam-6228	290	53	to	to	PART
ejpam-6228	290	54	protect	protect	VERB
ejpam-6228	290	55	against	against	ADP
ejpam-6228	290	56	both	both	DET
ejpam-6228	290	57	differential	differential	ADJ
ejpam-6228	290	58	and502	and502	NOUN
ejpam-6228	290	59	statistical	statistical	ADJ
ejpam-6228	290	60	attacks	attack	NOUN
ejpam-6228	290	61	,	,	PUNCT
ejpam-6228	290	62	thus	thus	ADV
ejpam-6228	290	63	creating	create	VERB
ejpam-6228	290	64	an	an	DET
ejpam-6228	290	65	encrypted	encrypt	VERB
ejpam-6228	290	66	image	image	NOUN
ejpam-6228	290	67	with	with	ADP
ejpam-6228	290	68	strong	strong	ADJ
ejpam-6228	290	69	resistance	resistance	NOUN
ejpam-6228	291	1	against503	against503	PROPN
ejpam-6228	291	2	unauthorized	unauthorized	ADJ
ejpam-6228	291	3	decryption	decryption	NOUN
ejpam-6228	291	4	attempts.504	attempts.504	NOUN
ejpam-6228	291	5	(	(	PUNCT
ejpam-6228	291	6	v	v	NOUN
ejpam-6228	291	7	)	)	PUNCT
ejpam-6228	291	8	output	output	NOUN
ejpam-6228	291	9	the	the	DET
ejpam-6228	291	10	encrypted	encrypt	VERB
ejpam-6228	291	11	image	image	NOUN
ejpam-6228	291	12	:	:	PUNCT
ejpam-6228	291	13	:	:	PUNCT
ejpam-6228	291	14	the	the	DET
ejpam-6228	291	15	implementation	implementation	NOUN
ejpam-6228	291	16	of	of	ADP
ejpam-6228	291	17	all	all	DET
ejpam-6228	291	18	encryption	encryption	NOUN
ejpam-6228	291	19	methods505	methods505	PROPN
ejpam-6228	291	20	produces	produce	VERB
ejpam-6228	291	21	an	an	DET
ejpam-6228	291	22	encrypted	encrypt	VERB
ejpam-6228	291	23	rgb	rgb	PROPN
ejpam-6228	291	24	image	image	NOUN
ejpam-6228	291	25	which	which	PRON
ejpam-6228	291	26	results	result	VERB
ejpam-6228	291	27	from	from	ADP
ejpam-6228	291	28	merging	merge	VERB
ejpam-6228	291	29	the	the	DET
ejpam-6228	291	30	modified	modify	VERB
ejpam-6228	291	31	red,506	red,506	NOUN
ejpam-6228	291	32	green	green	ADJ
ejpam-6228	291	33	and	and	CCONJ
ejpam-6228	291	34	blue	blue	ADJ
ejpam-6228	291	35	color	color	NOUN
ejpam-6228	291	36	channels	channel	NOUN
ejpam-6228	291	37	.	.	PUNCT
ejpam-6228	292	1	the	the	DET
ejpam-6228	292	2	encryption	encryption	NOUN
ejpam-6228	292	3	algorithm	algorithm	NOUN
ejpam-6228	292	4	runs	run	VERB
ejpam-6228	292	5	for	for	ADP
ejpam-6228	292	6	all	all	DET
ejpam-6228	292	7	rgb	rgb	PROPN
ejpam-6228	292	8	images507	images507	PROPN
ejpam-6228	292	9	contained	contain	VERB
ejpam-6228	292	10	in	in	ADP
ejpam-6228	292	11	the	the	DET
ejpam-6228	292	12	dataset	dataset	NOUN
ejpam-6228	292	13	to	to	PART
ejpam-6228	292	14	deliver	deliver	VERB
ejpam-6228	292	15	complete	complete	ADJ
ejpam-6228	292	16	information	information	NOUN
ejpam-6228	292	17	security.508	security.508	NOUN
ejpam-6228	292	18	(	(	PUNCT
ejpam-6228	292	19	vi	vi	NOUN
ejpam-6228	292	20	)	)	PUNCT
ejpam-6228	292	21	security	security	NOUN
ejpam-6228	292	22	enhancement	enhancement	NOUN
ejpam-6228	292	23	and	and	CCONJ
ejpam-6228	292	24	final	final	ADJ
ejpam-6228	292	25	output	output	NOUN
ejpam-6228	292	26	:	:	PUNCT
ejpam-6228	292	27	a	a	DET
ejpam-6228	292	28	cryptographic	cryptographic	ADJ
ejpam-6228	292	29	process	process	NOUN
ejpam-6228	292	30	results	result	NOUN
ejpam-6228	292	31	in509	in509	PROPN
ejpam-6228	292	32	encrypted	encrypt	VERB
ejpam-6228	292	33	images	image	NOUN
ejpam-6228	292	34	that	that	PRON
ejpam-6228	292	35	present	present	VERB
ejpam-6228	292	36	high	high	ADJ
ejpam-6228	292	37	levels	level	NOUN
ejpam-6228	292	38	of	of	ADP
ejpam-6228	292	39	randomness	randomness	NOUN
ejpam-6228	292	40	through	through	ADP
ejpam-6228	292	41	increased	increase	VERB
ejpam-6228	292	42	entropy510	entropy510	PROPN
ejpam-6228	292	43	along	along	ADP
ejpam-6228	292	44	with	with	ADP
ejpam-6228	292	45	low	low	ADJ
ejpam-6228	292	46	pixel	pixel	NOUN
ejpam-6228	292	47	correlation	correlation	NOUN
ejpam-6228	292	48	alongside	alongside	ADP
ejpam-6228	292	49	intense	intense	ADJ
ejpam-6228	292	50	resilience	resilience	NOUN
ejpam-6228	292	51	to	to	ADP
ejpam-6228	292	52	cryptographic	cryptographic	ADJ
ejpam-6228	292	53	anal-511	anal-511	NOUN
ejpam-6228	292	54	ysis	ysis	NOUN
ejpam-6228	292	55	.	.	PUNCT
ejpam-6228	293	1	through	through	ADP
ejpam-6228	293	2	quaternion	quaternion	ADJ
ejpam-6228	293	3	integer	integer	NOUN
ejpam-6228	293	4	-	-	PUNCT
ejpam-6228	293	5	based	base	VERB
ejpam-6228	293	6	encryption	encryption	NOUN
ejpam-6228	293	7	the	the	DET
ejpam-6228	293	8	framework	framework	NOUN
ejpam-6228	293	9	delivers	deliver	VERB
ejpam-6228	293	10	secure512	secure512	PROPN
ejpam-6228	293	11	multimedia	multimedia	NOUN
ejpam-6228	293	12	transmission	transmission	NOUN
ejpam-6228	293	13	since	since	SCONJ
ejpam-6228	293	14	encrypted	encrypt	VERB
ejpam-6228	293	15	images	image	NOUN
ejpam-6228	293	16	become	become	VERB
ejpam-6228	293	17	significantly	significantly	ADV
ejpam-6228	293	18	unpredictable513	unpredictable513	PROPN
ejpam-6228	293	19	to	to	ADP
ejpam-6228	293	20	both	both	DET
ejpam-6228	293	21	modern	modern	ADJ
ejpam-6228	293	22	cryptanalysis	cryptanalysis	NOUN
ejpam-6228	293	23	methods	method	NOUN
ejpam-6228	293	24	and	and	CCONJ
ejpam-6228	293	25	traditional	traditional	ADJ
ejpam-6228	293	26	cryptanalytic	cryptanalytic	ADJ
ejpam-6228	293	27	attacks.514	attacks.514	NOUN
ejpam-6228	293	28	significance	significance	NOUN
ejpam-6228	293	29	of	of	ADP
ejpam-6228	293	30	rgb	rgb	PROPN
ejpam-6228	293	31	multiple	multiple	ADJ
ejpam-6228	293	32	color	color	NOUN
ejpam-6228	293	33	image	image	NOUN
ejpam-6228	293	34	encryption	encryption	NOUN
ejpam-6228	293	35	:	:	PUNCT
ejpam-6228	293	36	secure	secure	ADJ
ejpam-6228	293	37	multimedia	multimedia	NOUN
ejpam-6228	293	38	data515	data515	PROPN
ejpam-6228	293	39	transmission	transmission	NOUN
ejpam-6228	293	40	benefits	benefit	NOUN
ejpam-6228	293	41	substantially	substantially	ADV
ejpam-6228	293	42	from	from	ADP
ejpam-6228	293	43	the	the	DET
ejpam-6228	293	44	use	use	NOUN
ejpam-6228	293	45	of	of	ADP
ejpam-6228	293	46	quaternion	quaternion	NOUN
ejpam-6228	293	47	integers	integer	NOUN
ejpam-6228	293	48	to	to	PART
ejpam-6228	293	49	encrypt	encrypt	VERB
ejpam-6228	293	50	multi-516	multi-516	ADJ
ejpam-6228	293	51	ple	ple	PROPN
ejpam-6228	293	52	rgb	rgb	PROPN
ejpam-6228	293	53	images	image	NOUN
ejpam-6228	293	54	.	.	PUNCT
ejpam-6228	294	1	modern	modern	ADJ
ejpam-6228	294	2	cryptographic	cryptographic	ADJ
ejpam-6228	294	3	attacks	attack	NOUN
ejpam-6228	294	4	frequently	frequently	ADV
ejpam-6228	294	5	break	break	VERB
ejpam-6228	294	6	traditional	traditional	ADJ
ejpam-6228	294	7	encryption517	encryption517	PROPN
ejpam-6228	294	8	methods	method	NOUN
ejpam-6228	294	9	based	base	VERB
ejpam-6228	294	10	on	on	ADP
ejpam-6228	294	11	real	real	ADJ
ejpam-6228	294	12	and	and	CCONJ
ejpam-6228	294	13	complex	complex	ADJ
ejpam-6228	294	14	numbers	number	NOUN
ejpam-6228	294	15	because	because	SCONJ
ejpam-6228	294	16	these	these	DET
ejpam-6228	294	17	methods	method	NOUN
ejpam-6228	294	18	lack	lack	VERB
ejpam-6228	294	19	enough	enough	ADJ
ejpam-6228	294	20	algebraic518	algebraic518	PROPN
ejpam-6228	294	21	complexity	complexity	NOUN
ejpam-6228	294	22	.	.	PUNCT
ejpam-6228	295	1	the	the	DET
ejpam-6228	295	2	security	security	NOUN
ejpam-6228	295	3	benefits	benefit	VERB
ejpam-6228	295	4	from	from	ADP
ejpam-6228	295	5	quaternion	quaternion	ADJ
ejpam-6228	295	6	integer	integer	NOUN
ejpam-6228	295	7	use	use	NOUN
ejpam-6228	295	8	stem	stem	NOUN
ejpam-6228	295	9	from	from	ADP
ejpam-6228	295	10	their	their	PRON
ejpam-6228	295	11	elevated519	elevated519	ADJ
ejpam-6228	295	12	dimensional	dimensional	ADJ
ejpam-6228	295	13	structure	structure	NOUN
ejpam-6228	295	14	along	along	ADP
ejpam-6228	295	15	with	with	ADP
ejpam-6228	295	16	their	their	PRON
ejpam-6228	295	17	non	non	ADJ
ejpam-6228	295	18	-	-	ADJ
ejpam-6228	295	19	commutative	commutative	ADJ
ejpam-6228	295	20	properties	property	NOUN
ejpam-6228	295	21	,	,	PUNCT
ejpam-6228	295	22	which	which	PRON
ejpam-6228	295	23	cause	cause	VERB
ejpam-6228	295	24	brute-520	brute-520	ADJ
ejpam-6228	295	25	force	force	NOUN
ejpam-6228	295	26	attacks	attack	NOUN
ejpam-6228	295	27	,	,	PUNCT
ejpam-6228	295	28	linear	linear	ADJ
ejpam-6228	295	29	approximations	approximation	NOUN
ejpam-6228	295	30	and	and	CCONJ
ejpam-6228	295	31	differential	differential	ADJ
ejpam-6228	295	32	cryptanalysis	cryptanalysis	NOUN
ejpam-6228	295	33	to	to	PART
ejpam-6228	295	34	become	become	VERB
ejpam-6228	295	35	increasingly521	increasingly521	PROPN
ejpam-6228	295	36	difficult	difficult	ADJ
ejpam-6228	295	37	to	to	PART
ejpam-6228	295	38	perform	perform	VERB
ejpam-6228	295	39	.	.	PUNCT
ejpam-6228	296	1	the	the	DET
ejpam-6228	296	2	main	main	ADJ
ejpam-6228	296	3	benefit	benefit	NOUN
ejpam-6228	296	4	of	of	ADP
ejpam-6228	296	5	using	use	VERB
ejpam-6228	296	6	quaternion	quaternion	NOUN
ejpam-6228	296	7	encryption	encryption	NOUN
ejpam-6228	296	8	is	be	AUX
ejpam-6228	296	9	its	its	PRON
ejpam-6228	296	10	channel	channel	NOUN
ejpam-6228	296	11	in-522	in-522	PROPN
ejpam-6228	296	12	dependence	dependence	NOUN
ejpam-6228	296	13	processing	processing	NOUN
ejpam-6228	296	14	capability	capability	NOUN
ejpam-6228	296	15	,	,	PUNCT
ejpam-6228	296	16	which	which	PRON
ejpam-6228	296	17	ensures	ensure	VERB
ejpam-6228	296	18	secure	secure	ADJ
ejpam-6228	296	19	image	image	NOUN
ejpam-6228	296	20	integrity	integrity	NOUN
ejpam-6228	296	21	by	by	ADP
ejpam-6228	296	22	maintaining523	maintaining523	ADJ
ejpam-6228	296	23	dependencies	dependency	NOUN
ejpam-6228	296	24	across	across	ADP
ejpam-6228	296	25	color	color	NOUN
ejpam-6228	296	26	channels	channel	NOUN
ejpam-6228	296	27	and	and	CCONJ
ejpam-6228	296	28	providing	provide	VERB
ejpam-6228	296	29	strong	strong	ADJ
ejpam-6228	296	30	diffusion	diffusion	NOUN
ejpam-6228	296	31	and	and	CCONJ
ejpam-6228	296	32	confusion	confusion	NOUN
ejpam-6228	296	33	capa-524	capa-524	NOUN
ejpam-6228	296	34	bilities	bilitie	NOUN
ejpam-6228	296	35	.	.	PUNCT
ejpam-6228	297	1	quaternion	quaternion	ADJ
ejpam-6228	297	2	residue	residue	NOUN
ejpam-6228	297	3	classes	class	NOUN
ejpam-6228	297	4	integrated	integrate	VERB
ejpam-6228	297	5	with	with	ADP
ejpam-6228	297	6	substitution	substitution	NOUN
ejpam-6228	297	7	-	-	PUNCT
ejpam-6228	297	8	permutation	permutation	NOUN
ejpam-6228	297	9	networks525	networks525	PROPN
ejpam-6228	297	10	(	(	PUNCT
ejpam-6228	297	11	spn	spn	PROPN
ejpam-6228	297	12	)	)	PUNCT
ejpam-6228	297	13	adopt	adopt	VERB
ejpam-6228	297	14	mathematical	mathematical	ADJ
ejpam-6228	297	15	methods	method	NOUN
ejpam-6228	297	16	for	for	ADP
ejpam-6228	297	17	distributing	distribute	VERB
ejpam-6228	297	18	pixel	pixel	ADJ
ejpam-6228	297	19	data	datum	NOUN
ejpam-6228	297	20	that	that	PRON
ejpam-6228	297	21	make	make	VERB
ejpam-6228	297	22	them	they	PRON
ejpam-6228	297	23	resilient526	resilient526	VERB
ejpam-6228	297	24	against	against	ADP
ejpam-6228	297	25	statistical	statistical	ADJ
ejpam-6228	297	26	attacks	attack	NOUN
ejpam-6228	297	27	.	.	PUNCT
ejpam-6228	298	1	nonlinearities	nonlinearitie	NOUN
ejpam-6228	298	2	strengthen	strengthen	VERB
ejpam-6228	298	3	due	due	ADP
ejpam-6228	298	4	to	to	ADP
ejpam-6228	298	5	the	the	DET
ejpam-6228	298	6	construction	construction	NOUN
ejpam-6228	298	7	of	of	ADP
ejpam-6228	298	8	secure527	secure527	PROPN
ejpam-6228	298	9	s	s	PROPN
ejpam-6228	298	10	-	-	PUNCT
ejpam-6228	298	11	boxes	box	NOUN
ejpam-6228	298	12	based	base	VERB
ejpam-6228	298	13	on	on	ADP
ejpam-6228	298	14	quaternion	quaternion	ADJ
ejpam-6228	298	15	integer	integer	NOUN
ejpam-6228	298	16	residue	residue	NOUN
ejpam-6228	298	17	classes	class	NOUN
ejpam-6228	298	18	because	because	SCONJ
ejpam-6228	298	19	these	these	DET
ejpam-6228	298	20	results	result	NOUN
ejpam-6228	298	21	help	help	VERB
ejpam-6228	298	22	protect528	protect528	PROPN
ejpam-6228	298	23	against	against	ADP
ejpam-6228	298	24	cryptographic	cryptographic	ADJ
ejpam-6228	298	25	weaknesses	weakness	NOUN
ejpam-6228	298	26	.	.	PUNCT
ejpam-6228	299	1	quaternions	quaternion	NOUN
ejpam-6228	299	2	enable	enable	VERB
ejpam-6228	299	3	efficient	efficient	ADJ
ejpam-6228	299	4	implementation	implementation	NOUN
ejpam-6228	299	5	of	of	ADP
ejpam-6228	299	6	secure529	secure529	PROPN
ejpam-6228	299	7	transformations	transformation	NOUN
ejpam-6228	299	8	that	that	PRON
ejpam-6228	299	9	produce	produce	VERB
ejpam-6228	299	10	encrypted	encrypt	VERB
ejpam-6228	299	11	images	image	NOUN
ejpam-6228	299	12	with	with	ADP
ejpam-6228	299	13	high	high	ADJ
ejpam-6228	299	14	entropy	entropy	NOUN
ejpam-6228	299	15	values	value	NOUN
ejpam-6228	299	16	and	and	CCONJ
ejpam-6228	299	17	reduced	reduce	VERB
ejpam-6228	299	18	cor-530	cor-530	NOUN
ejpam-6228	299	19	relation	relation	NOUN
ejpam-6228	299	20	along	along	ADP
ejpam-6228	299	21	with	with	ADP
ejpam-6228	299	22	strong	strong	ADJ
ejpam-6228	299	23	dependency	dependency	NOUN
ejpam-6228	299	24	to	to	ADP
ejpam-6228	299	25	keys	key	NOUN
ejpam-6228	299	26	.	.	PUNCT
ejpam-6228	300	1	the	the	DET
ejpam-6228	300	2	encryption	encryption	NOUN
ejpam-6228	300	3	technique	technique	NOUN
ejpam-6228	300	4	delivers	deliver	VERB
ejpam-6228	300	5	excep-531	excep-531	ADJ
ejpam-6228	300	6	tional	tional	ADJ
ejpam-6228	300	7	benefits	benefit	NOUN
ejpam-6228	300	8	for	for	ADP
ejpam-6228	300	9	secure	secure	ADJ
ejpam-6228	300	10	image	image	NOUN
ejpam-6228	300	11	transfer	transfer	NOUN
ejpam-6228	300	12	and	and	CCONJ
ejpam-6228	300	13	cloud	cloud	NOUN
ejpam-6228	300	14	backup	backup	NOUN
ejpam-6228	300	15	alongside	alongside	ADP
ejpam-6228	300	16	defence	defence	NOUN
ejpam-6228	300	17	needs	need	NOUN
ejpam-6228	300	18	because532	because532	PROPN
ejpam-6228	300	19	m.	m.	PROPN
ejpam-6228	300	20	sajjad	sajjad	PROPN
ejpam-6228	300	21	,	,	PUNCT
ejpam-6228	300	22	n.	n.	PROPN
ejpam-6228	300	23	a.	a.	NOUN
ejpam-6228	300	24	alqwaifly	alqwaifly	PROPN
ejpam-6228	300	25	/	/	SYM
ejpam-6228	300	26	eur	eur	PROPN
ejpam-6228	300	27	.	.	PUNCT
ejpam-6228	301	1	j.	j.	PROPN
ejpam-6228	301	2	pure	pure	PROPN
ejpam-6228	301	3	appl	appl	PROPN
ejpam-6228	301	4	.	.	PROPN
ejpam-6228	301	5	math	math	PROPN
ejpam-6228	301	6	,	,	PUNCT
ejpam-6228	301	7	18	18	NUM
ejpam-6228	301	8	(	(	PUNCT
ejpam-6228	301	9	2	2	NUM
ejpam-6228	301	10	)	)	PUNCT
ejpam-6228	301	11	(	(	PUNCT
ejpam-6228	301	12	2025	2025	NUM
ejpam-6228	301	13	)	)	PUNCT
ejpam-6228	301	14	,	,	PUNCT
ejpam-6228	301	15	6228	6228	NUM
ejpam-6228	301	16	20	20	NUM
ejpam-6228	301	17	of	of	ADP
ejpam-6228	301	18	35	35	NUM
ejpam-6228	301	19	it	it	PRON
ejpam-6228	301	20	maintains	maintain	VERB
ejpam-6228	301	21	highly	highly	ADV
ejpam-6228	301	22	confidential	confidential	ADJ
ejpam-6228	301	23	data	datum	NOUN
ejpam-6228	301	24	while	while	SCONJ
ejpam-6228	301	25	resisting	resist	VERB
ejpam-6228	301	26	attacks	attack	NOUN
ejpam-6228	301	27	effectively	effectively	ADV
ejpam-6228	301	28	.	.	PUNCT
ejpam-6228	302	1	this	this	DET
ejpam-6228	302	2	encryption533	encryption533	PROPN
ejpam-6228	302	3	framework	framework	NOUN
ejpam-6228	302	4	takes	take	VERB
ejpam-6228	302	5	advantage	advantage	NOUN
ejpam-6228	302	6	of	of	ADP
ejpam-6228	302	7	quaternion	quaternion	NOUN
ejpam-6228	302	8	integers	integer	NOUN
ejpam-6228	302	9	’	'	PUNCT
ejpam-6228	302	10	distinct	distinct	ADJ
ejpam-6228	302	11	algebraic	algebraic	ADJ
ejpam-6228	302	12	properties	property	NOUN
ejpam-6228	302	13	to	to	PART
ejpam-6228	302	14	develop534	develop534	PROPN
ejpam-6228	302	15	a	a	DET
ejpam-6228	302	16	superior	superior	ADJ
ejpam-6228	302	17	encryption	encryption	NOUN
ejpam-6228	302	18	system	system	NOUN
ejpam-6228	302	19	when	when	SCONJ
ejpam-6228	302	20	compared	compare	VERB
ejpam-6228	302	21	to	to	ADP
ejpam-6228	302	22	classic	classic	ADJ
ejpam-6228	302	23	approaches	approach	NOUN
ejpam-6228	302	24	,	,	PUNCT
ejpam-6228	302	25	thus	thus	ADV
ejpam-6228	302	26	delivering	deliver	VERB
ejpam-6228	302	27	better535	better535	PROPN
ejpam-6228	302	28	security	security	NOUN
ejpam-6228	302	29	and	and	CCONJ
ejpam-6228	302	30	computation	computation	NOUN
ejpam-6228	302	31	speed	speed	NOUN
ejpam-6228	302	32	to	to	ADP
ejpam-6228	302	33	actual	actual	ADJ
ejpam-6228	302	34	multimedia	multimedia	NOUN
ejpam-6228	302	35	encryption	encryption	NOUN
ejpam-6228	302	36	operations.536	operations.536	NOUN
ejpam-6228	302	37	sections	section	NOUN
ejpam-6228	302	38	3	3	NUM
ejpam-6228	302	39	and	and	CCONJ
ejpam-6228	302	40	4	4	NUM
ejpam-6228	302	41	s	s	NOUN
ejpam-6228	302	42	-	-	PUNCT
ejpam-6228	302	43	box	box	NOUN
ejpam-6228	302	44	construction	construction	NOUN
ejpam-6228	302	45	joins	join	VERB
ejpam-6228	302	46	the	the	DET
ejpam-6228	302	47	production	production	NOUN
ejpam-6228	302	48	process	process	NOUN
ejpam-6228	302	49	with	with	ADP
ejpam-6228	302	50	multiple	multiple	ADJ
ejpam-6228	302	51	rgb	rgb	PROPN
ejpam-6228	302	52	image537	image537	PROPN
ejpam-6228	302	53	encryption	encryption	NOUN
ejpam-6228	302	54	methods	method	NOUN
ejpam-6228	302	55	as	as	SCONJ
ejpam-6228	302	56	described	describe	VERB
ejpam-6228	302	57	in	in	ADP
ejpam-6228	302	58	section	section	NOUN
ejpam-6228	302	59	5	5	NUM
ejpam-6228	302	60	according	accord	VERB
ejpam-6228	302	61	to	to	PART
ejpam-6228	302	62	figure	figure	VERB
ejpam-6228	302	63	2.538	2.538	NUM
ejpam-6228	302	64	figure	figure	NOUN
ejpam-6228	302	65	2	2	NUM
ejpam-6228	302	66	:	:	PUNCT
ejpam-6228	302	67	flowchart	flowchart	NOUN
ejpam-6228	302	68	of	of	ADP
ejpam-6228	302	69	proposed	propose	VERB
ejpam-6228	302	70	study	study	NOUN
ejpam-6228	302	71	6	6	NUM
ejpam-6228	302	72	.	.	PUNCT
ejpam-6228	303	1	applications	application	NOUN
ejpam-6228	303	2	of	of	ADP
ejpam-6228	303	3	multiple	multiple	ADJ
ejpam-6228	303	4	rgb	rgb	PROPN
ejpam-6228	303	5	image	image	NOUN
ejpam-6228	303	6	encryption	encryption	NOUN
ejpam-6228	303	7	over	over	ADP
ejpam-6228	303	8	quaternion539	quaternion539	PROPN
ejpam-6228	303	9	integers540	integers540	PROPN
ejpam-6228	303	10	multiple	multiple	ADJ
ejpam-6228	303	11	rgb	rgb	PROPN
ejpam-6228	303	12	image	image	NOUN
ejpam-6228	303	13	encryption	encryption	NOUN
ejpam-6228	303	14	over	over	ADP
ejpam-6228	303	15	quaternion	quaternion	NOUN
ejpam-6228	303	16	integers	integer	NOUN
ejpam-6228	303	17	is	be	AUX
ejpam-6228	303	18	a	a	DET
ejpam-6228	303	19	very	very	ADV
ejpam-6228	303	20	powerful	powerful	ADJ
ejpam-6228	303	21	technique541	technique541	PROPN
ejpam-6228	303	22	for	for	ADP
ejpam-6228	303	23	encrypting	encrypt	VERB
ejpam-6228	303	24	the	the	DET
ejpam-6228	303	25	digital	digital	ADJ
ejpam-6228	303	26	images	image	NOUN
ejpam-6228	303	27	in	in	ADP
ejpam-6228	303	28	a	a	DET
ejpam-6228	303	29	secure	secure	ADJ
ejpam-6228	303	30	way	way	NOUN
ejpam-6228	303	31	by	by	ADP
ejpam-6228	303	32	utilizing	utilize	VERB
ejpam-6228	303	33	the	the	DET
ejpam-6228	303	34	multidimensional	multidimensional	ADJ
ejpam-6228	303	35	prop-542	prop-542	ADJ
ejpam-6228	303	36	erties	ertie	NOUN
ejpam-6228	303	37	of	of	ADP
ejpam-6228	303	38	the	the	DET
ejpam-6228	303	39	quaternions	quaternion	NOUN
ejpam-6228	303	40	.	.	PUNCT
ejpam-6228	304	1	quaternions	quaternion	NOUN
ejpam-6228	304	2	are	be	AUX
ejpam-6228	304	3	four	four	NUM
ejpam-6228	304	4	-	-	PUNCT
ejpam-6228	304	5	dimensional	dimensional	ADJ
ejpam-6228	304	6	,	,	PUNCT
ejpam-6228	304	7	and	and	CCONJ
ejpam-6228	304	8	quaternion	quaternion	NOUN
ejpam-6228	304	9	-	-	PUNCT
ejpam-6228	304	10	based	base	VERB
ejpam-6228	304	11	en-543	en-543	NOUN
ejpam-6228	304	12	cryption	cryption	NOUN
ejpam-6228	304	13	operates	operate	VERB
ejpam-6228	304	14	over	over	ADP
ejpam-6228	304	15	the	the	DET
ejpam-6228	304	16	quaternion	quaternion	NOUN
ejpam-6228	304	17	system	system	NOUN
ejpam-6228	304	18	,	,	PUNCT
ejpam-6228	304	19	which	which	PRON
ejpam-6228	304	20	means	mean	VERB
ejpam-6228	304	21	scalar	scalar	ADJ
ejpam-6228	304	22	and	and	CCONJ
ejpam-6228	304	23	three	three	NUM
ejpam-6228	304	24	imaginary544	imaginary544	PROPN
ejpam-6228	304	25	components	component	NOUN
ejpam-6228	304	26	.	.	PUNCT
ejpam-6228	305	1	the	the	DET
ejpam-6228	305	2	increase	increase	NOUN
ejpam-6228	305	3	in	in	ADP
ejpam-6228	305	4	complexity	complexity	NOUN
ejpam-6228	305	5	and	and	CCONJ
ejpam-6228	305	6	unpredictability	unpredictability	NOUN
ejpam-6228	305	7	of	of	ADP
ejpam-6228	305	8	the	the	DET
ejpam-6228	305	9	encryption	encryption	NOUN
ejpam-6228	305	10	process	process	NOUN
ejpam-6228	305	11	is545	is545	PROPN
ejpam-6228	305	12	achieved	achieve	VERB
ejpam-6228	305	13	by	by	ADP
ejpam-6228	305	14	means	mean	NOUN
ejpam-6228	305	15	of	of	ADP
ejpam-6228	305	16	this	this	DET
ejpam-6228	305	17	higher	higher	ADV
ejpam-6228	305	18	-	-	PUNCT
ejpam-6228	305	19	dimensional	dimensional	ADJ
ejpam-6228	305	20	representation	representation	NOUN
ejpam-6228	305	21	which	which	PRON
ejpam-6228	305	22	is	be	AUX
ejpam-6228	305	23	capable	capable	ADJ
ejpam-6228	305	24	of	of	ADP
ejpam-6228	305	25	complex546	complex546	NUM
ejpam-6228	305	26	transformation	transformation	NOUN
ejpam-6228	305	27	.	.	PUNCT
ejpam-6228	306	1	using	use	VERB
ejpam-6228	306	2	this	this	DET
ejpam-6228	306	3	methodology	methodology	NOUN
ejpam-6228	306	4	,	,	PUNCT
ejpam-6228	306	5	each	each	PRON
ejpam-6228	306	6	of	of	ADP
ejpam-6228	306	7	the	the	DET
ejpam-6228	306	8	rgb	rgb	PROPN
ejpam-6228	306	9	images	image	NOUN
ejpam-6228	306	10	is	be	AUX
ejpam-6228	306	11	separated	separate	VERB
ejpam-6228	306	12	into	into	ADP
ejpam-6228	306	13	their547	their547	PROPN
ejpam-6228	306	14	color	color	NOUN
ejpam-6228	306	15	channels	channel	NOUN
ejpam-6228	306	16	,	,	PUNCT
ejpam-6228	306	17	where	where	SCONJ
ejpam-6228	306	18	they	they	PRON
ejpam-6228	306	19	are	be	AUX
ejpam-6228	306	20	then	then	ADV
ejpam-6228	306	21	converted	convert	VERB
ejpam-6228	306	22	into	into	ADP
ejpam-6228	306	23	quaternion	quaternion	ADJ
ejpam-6228	306	24	space	space	NOUN
ejpam-6228	306	25	and	and	CCONJ
ejpam-6228	306	26	processed	process	VERB
ejpam-6228	306	27	with548	with548	PROPN
ejpam-6228	306	28	encryption	encryption	NOUN
ejpam-6228	306	29	using	use	VERB
ejpam-6228	306	30	substitution	substitution	NOUN
ejpam-6228	306	31	-	-	PUNCT
ejpam-6228	306	32	permutation	permutation	NOUN
ejpam-6228	306	33	networks	network	NOUN
ejpam-6228	306	34	(	(	PUNCT
ejpam-6228	306	35	spn	spn	PROPN
ejpam-6228	306	36	)	)	PUNCT
ejpam-6228	306	37	,	,	PUNCT
ejpam-6228	306	38	modular	modular	ADJ
ejpam-6228	306	39	arithmetic	arithmetic	NOUN
ejpam-6228	306	40	and	and	CCONJ
ejpam-6228	306	41	affine549	affine549	PROPN
ejpam-6228	306	42	transformations	transformation	NOUN
ejpam-6228	306	43	,	,	PUNCT
ejpam-6228	306	44	respectively	respectively	ADV
ejpam-6228	306	45	,	,	PUNCT
ejpam-6228	306	46	on	on	ADP
ejpam-6228	306	47	the	the	DET
ejpam-6228	306	48	scalar	scalar	ADJ
ejpam-6228	306	49	and	and	CCONJ
ejpam-6228	306	50	vector	vector	NOUN
ejpam-6228	306	51	components	component	NOUN
ejpam-6228	306	52	.	.	PUNCT
ejpam-6228	307	1	this	this	PRON
ejpam-6228	307	2	involves	involve	VERB
ejpam-6228	307	3	strong550	strong550	PROPN
ejpam-6228	307	4	diffusion	diffusion	NOUN
ejpam-6228	307	5	and	and	CCONJ
ejpam-6228	307	6	confusion	confusion	NOUN
ejpam-6228	307	7	,	,	PUNCT
ejpam-6228	307	8	meaning	mean	VERB
ejpam-6228	307	9	that	that	SCONJ
ejpam-6228	307	10	even	even	ADV
ejpam-6228	307	11	a	a	DET
ejpam-6228	307	12	very	very	ADV
ejpam-6228	307	13	modest	modest	ADJ
ejpam-6228	307	14	change	change	NOUN
ejpam-6228	307	15	of	of	ADP
ejpam-6228	307	16	the	the	DET
ejpam-6228	307	17	original	original	ADJ
ejpam-6228	307	18	image551	image551	PROPN
ejpam-6228	307	19	leads	lead	VERB
ejpam-6228	307	20	to	to	ADP
ejpam-6228	307	21	a	a	DET
ejpam-6228	307	22	very	very	ADV
ejpam-6228	307	23	different	different	ADJ
ejpam-6228	307	24	output	output	NOUN
ejpam-6228	307	25	in	in	ADP
ejpam-6228	307	26	the	the	DET
ejpam-6228	307	27	encrypted	encrypt	VERB
ejpam-6228	307	28	version	version	NOUN
ejpam-6228	307	29	.	.	PUNCT
ejpam-6228	308	1	quaternion	quaternion	ADJ
ejpam-6228	308	2	multiplication	multiplication	NOUN
ejpam-6228	308	3	and552	and552	PROPN
ejpam-6228	308	4	m.	m.	PROPN
ejpam-6228	308	5	sajjad	sajjad	PROPN
ejpam-6228	308	6	,	,	PUNCT
ejpam-6228	308	7	n.	n.	PROPN
ejpam-6228	308	8	a.	a.	NOUN
ejpam-6228	308	9	alqwaifly	alqwaifly	PROPN
ejpam-6228	308	10	/	/	SYM
ejpam-6228	308	11	eur	eur	PROPN
ejpam-6228	308	12	.	.	PUNCT
ejpam-6228	309	1	j.	j.	PROPN
ejpam-6228	309	2	pure	pure	PROPN
ejpam-6228	309	3	appl	appl	PROPN
ejpam-6228	309	4	.	.	PROPN
ejpam-6228	309	5	math	math	PROPN
ejpam-6228	309	6	,	,	PUNCT
ejpam-6228	309	7	18	18	NUM
ejpam-6228	309	8	(	(	PUNCT
ejpam-6228	309	9	2	2	NUM
ejpam-6228	309	10	)	)	PUNCT
ejpam-6228	309	11	(	(	PUNCT
ejpam-6228	309	12	2025	2025	NUM
ejpam-6228	309	13	)	)	PUNCT
ejpam-6228	309	14	,	,	PUNCT
ejpam-6228	309	15	6228	6228	NUM
ejpam-6228	309	16	21	21	NUM
ejpam-6228	309	17	of	of	ADP
ejpam-6228	309	18	35	35	NUM
ejpam-6228	309	19	rotation	rotation	NOUN
ejpam-6228	309	20	functions	function	NOUN
ejpam-6228	309	21	allow	allow	VERB
ejpam-6228	309	22	for	for	ADP
ejpam-6228	309	23	much	much	ADV
ejpam-6228	309	24	more	more	ADJ
ejpam-6228	309	25	sensitivity	sensitivity	NOUN
ejpam-6228	309	26	of	of	ADP
ejpam-6228	309	27	the	the	DET
ejpam-6228	309	28	system	system	NOUN
ejpam-6228	309	29	to	to	ADP
ejpam-6228	309	30	keys	key	NOUN
ejpam-6228	309	31	,	,	PUNCT
ejpam-6228	309	32	and	and	CCONJ
ejpam-6228	309	33	the	the	DET
ejpam-6228	309	34	system	system	NOUN
ejpam-6228	309	35	is553	is553	PROPN
ejpam-6228	309	36	thus	thus	ADV
ejpam-6228	309	37	very	very	ADV
ejpam-6228	309	38	resistant	resistant	ADJ
ejpam-6228	309	39	to	to	ADP
ejpam-6228	309	40	brute	brute	VERB
ejpam-6228	309	41	force	force	NOUN
ejpam-6228	309	42	and	and	CCONJ
ejpam-6228	309	43	statistical	statistical	ADJ
ejpam-6228	309	44	attacks	attack	NOUN
ejpam-6228	309	45	.	.	PUNCT
ejpam-6228	310	1	with	with	ADP
ejpam-6228	310	2	this	this	DET
ejpam-6228	310	3	technique	technique	NOUN
ejpam-6228	310	4	,	,	PUNCT
ejpam-6228	310	5	the	the	DET
ejpam-6228	310	6	secure554	secure554	PROPN
ejpam-6228	310	7	encryption	encryption	NOUN
ejpam-6228	310	8	and	and	CCONJ
ejpam-6228	310	9	transmission	transmission	NOUN
ejpam-6228	310	10	of	of	ADP
ejpam-6228	310	11	multiple	multiple	ADJ
ejpam-6228	310	12	rgb	rgb	PROPN
ejpam-6228	310	13	images	image	NOUN
ejpam-6228	310	14	while	while	SCONJ
ejpam-6228	310	15	resisting	resist	VERB
ejpam-6228	310	16	cryptography	cryptography	NOUN
ejpam-6228	310	17	attacks555	attacks555	PROPN
ejpam-6228	310	18	can	can	AUX
ejpam-6228	310	19	be	be	AUX
ejpam-6228	310	20	easily	easily	ADV
ejpam-6228	310	21	achieved	achieve	VERB
ejpam-6228	310	22	;	;	PUNCT
ejpam-6228	310	23	hence	hence	ADV
ejpam-6228	310	24	,	,	PUNCT
ejpam-6228	310	25	this	this	PRON
ejpam-6228	310	26	is	be	AUX
ejpam-6228	310	27	a	a	DET
ejpam-6228	310	28	good	good	ADJ
ejpam-6228	310	29	technique	technique	NOUN
ejpam-6228	310	30	for	for	ADP
ejpam-6228	310	31	secure	secure	ADJ
ejpam-6228	310	32	image	image	NOUN
ejpam-6228	310	33	communication,556	communication,556	NOUN
ejpam-6228	310	34	cloud	cloud	NOUN
ejpam-6228	310	35	saving	saving	NOUN
ejpam-6228	310	36	,	,	PUNCT
ejpam-6228	310	37	and	and	CCONJ
ejpam-6228	310	38	multimedia	multimedia	NOUN
ejpam-6228	310	39	security	security	NOUN
ejpam-6228	310	40	applications	application	NOUN
ejpam-6228	310	41	[	[	X
ejpam-6228	310	42	5	5	NUM
ejpam-6228	310	43	,	,	PUNCT
ejpam-6228	310	44	16	16	NUM
ejpam-6228	310	45	,	,	PUNCT
ejpam-6228	310	46	21	21	NUM
ejpam-6228	310	47	,	,	PUNCT
ejpam-6228	310	48	34	34	NUM
ejpam-6228	310	49	]	]	PUNCT
ejpam-6228	310	50	.	.	PUNCT
ejpam-6228	311	1	figure	figure	NOUN
ejpam-6228	311	2	3	3	NUM
ejpam-6228	311	3	shows	show	VERB
ejpam-6228	311	4	two557	two557	PROPN
ejpam-6228	311	5	original	original	ADJ
ejpam-6228	311	6	multiple	multiple	ADJ
ejpam-6228	311	7	rgb	rgb	PROPN
ejpam-6228	311	8	images	image	NOUN
ejpam-6228	311	9	i1	i1	PROPN
ejpam-6228	311	10	,	,	PUNCT
ejpam-6228	311	11	and	and	CCONJ
ejpam-6228	311	12	i2	i2	PROPN
ejpam-6228	311	13	alongside	alongside	ADP
ejpam-6228	311	14	their	their	PRON
ejpam-6228	311	15	encrypted	encrypt	VERB
ejpam-6228	311	16	versions	version	NOUN
ejpam-6228	311	17	.	.	PUNCT
ejpam-6228	312	1	figure	figure	VERB
ejpam-6228	312	2	3	3	NUM
ejpam-6228	312	3	:	:	PUNCT
ejpam-6228	312	4	quaternion	quaternion	NOUN
ejpam-6228	312	5	integers	integer	NOUN
ejpam-6228	312	6	-	-	PUNCT
ejpam-6228	312	7	based	base	VERB
ejpam-6228	312	8	multiple	multiple	ADJ
ejpam-6228	312	9	original	original	ADJ
ejpam-6228	312	10	and	and	CCONJ
ejpam-6228	312	11	encrypted	encrypt	VERB
ejpam-6228	312	12	rgb	rgb	PROPN
ejpam-6228	312	13	images	image	VERB
ejpam-6228	312	14	558	558	NUM
ejpam-6228	312	15	6.1	6.1	NUM
ejpam-6228	312	16	.	.	PUNCT
ejpam-6228	313	1	histogram	histogram	NOUN
ejpam-6228	313	2	analysis	analysis	NOUN
ejpam-6228	313	3	(	(	PUNCT
ejpam-6228	313	4	ha)559	ha)559	NOUN
ejpam-6228	313	5	histogram	histogram	NOUN
ejpam-6228	313	6	analysis	analysis	NOUN
ejpam-6228	313	7	is	be	AUX
ejpam-6228	313	8	a	a	DET
ejpam-6228	313	9	vital	vital	ADJ
ejpam-6228	313	10	method	method	NOUN
ejpam-6228	313	11	of	of	ADP
ejpam-6228	313	12	checking	check	VERB
ejpam-6228	313	13	the	the	DET
ejpam-6228	313	14	security	security	NOUN
ejpam-6228	313	15	and	and	CCONJ
ejpam-6228	313	16	performance	performance	NOUN
ejpam-6228	313	17	of	of	ADP
ejpam-6228	313	18	more560	more560	PROPN
ejpam-6228	313	19	than	than	ADP
ejpam-6228	313	20	one	one	NUM
ejpam-6228	313	21	rbg	rbg	NOUN
ejpam-6228	313	22	image	image	NOUN
ejpam-6228	313	23	encryption	encryption	NOUN
ejpam-6228	313	24	utilizing	utilize	VERB
ejpam-6228	313	25	quaternion	quaternion	NOUN
ejpam-6228	313	26	integers	integer	NOUN
ejpam-6228	313	27	.	.	PUNCT
ejpam-6228	314	1	this	this	PRON
ejpam-6228	314	2	analyzes	analyze	VERB
ejpam-6228	314	3	the	the	DET
ejpam-6228	314	4	distri-561	distri-561	ADJ
ejpam-6228	314	5	bution	bution	NOUN
ejpam-6228	314	6	of	of	ADP
ejpam-6228	314	7	pixel	pixel	PROPN
ejpam-6228	314	8	intensity	intensity	NOUN
ejpam-6228	314	9	values	value	NOUN
ejpam-6228	314	10	in	in	ADP
ejpam-6228	314	11	encrypted	encrypt	VERB
ejpam-6228	314	12	images	image	NOUN
ejpam-6228	314	13	to	to	PART
ejpam-6228	314	14	determine	determine	VERB
ejpam-6228	314	15	whether	whether	SCONJ
ejpam-6228	314	16	the	the	DET
ejpam-6228	314	17	encryption562	encryption562	PROPN
ejpam-6228	314	18	process	process	NOUN
ejpam-6228	314	19	indeed	indeed	ADV
ejpam-6228	314	20	covers	cover	VERB
ejpam-6228	314	21	up	up	ADP
ejpam-6228	314	22	all	all	DET
ejpam-6228	314	23	the	the	DET
ejpam-6228	314	24	statistical	statistical	ADJ
ejpam-6228	314	25	properties	property	NOUN
ejpam-6228	314	26	of	of	ADP
ejpam-6228	314	27	the	the	DET
ejpam-6228	314	28	original	original	ADJ
ejpam-6228	314	29	images	image	NOUN
ejpam-6228	314	30	.	.	PUNCT
ejpam-6228	315	1	in	in	ADP
ejpam-6228	315	2	a	a	DET
ejpam-6228	315	3	well-563	well-563	ADJ
ejpam-6228	315	4	encrypted	encrypt	VERB
ejpam-6228	315	5	image	image	NOUN
ejpam-6228	315	6	both	both	CCONJ
ejpam-6228	315	7	the	the	DET
ejpam-6228	315	8	histogram	histogram	NOUN
ejpam-6228	315	9	and	and	CCONJ
ejpam-6228	315	10	the	the	DET
ejpam-6228	315	11	power	power	NOUN
ejpam-6228	315	12	spectrum	spectrum	NOUN
ejpam-6228	315	13	should	should	AUX
ejpam-6228	315	14	look	look	VERB
ejpam-6228	315	15	uniform	uniform	ADJ
ejpam-6228	315	16	(	(	PUNCT
ejpam-6228	315	17	homo-564	homo-564	NOUN
ejpam-6228	315	18	geneously	geneously	ADV
ejpam-6228	315	19	distributed	distribute	VERB
ejpam-6228	315	20	across	across	ADP
ejpam-6228	315	21	the	the	DET
ejpam-6228	315	22	entire	entire	ADJ
ejpam-6228	315	23	intensity	intensity	NOUN
ejpam-6228	315	24	/	/	SYM
ejpam-6228	315	25	density	density	NOUN
ejpam-6228	315	26	range	range	NOUN
ejpam-6228	315	27	)	)	PUNCT
ejpam-6228	315	28	;	;	PUNCT
ejpam-6228	315	29	this	this	PRON
ejpam-6228	315	30	blocks	block	VERB
ejpam-6228	315	31	any	any	DET
ejpam-6228	315	32	detectable565	detectable565	PROPN
ejpam-6228	315	33	patterns	pattern	NOUN
ejpam-6228	315	34	for	for	SCONJ
ejpam-6228	315	35	attackers	attacker	NOUN
ejpam-6228	315	36	to	to	PART
ejpam-6228	315	37	exploit	exploit	VERB
ejpam-6228	315	38	.	.	PUNCT
ejpam-6228	316	1	if	if	SCONJ
ejpam-6228	316	2	we	we	PRON
ejpam-6228	316	3	encrypt	encrypt	VERB
ejpam-6228	316	4	the	the	DET
ejpam-6228	316	5	rgb	rgb	PROPN
ejpam-6228	316	6	images	image	NOUN
ejpam-6228	316	7	that	that	PRON
ejpam-6228	316	8	are	be	AUX
ejpam-6228	316	9	in	in	ADP
ejpam-6228	316	10	the	the	DET
ejpam-6228	316	11	form	form	NOUN
ejpam-6228	316	12	of566	of566	ADJ
ejpam-6228	316	13	quaternion	quaternion	NOUN
ejpam-6228	316	14	integers	integer	NOUN
ejpam-6228	316	15	using	use	VERB
ejpam-6228	316	16	such	such	DET
ejpam-6228	316	17	an	an	DET
ejpam-6228	316	18	encryption	encryption	NOUN
ejpam-6228	316	19	algorithm	algorithm	NOUN
ejpam-6228	316	20	,	,	PUNCT
ejpam-6228	316	21	the	the	DET
ejpam-6228	316	22	encryption	encryption	NOUN
ejpam-6228	316	23	algorithm	algorithm	NOUN
ejpam-6228	316	24	trans-567	trans-567	NOUN
ejpam-6228	316	25	forms	form	VERB
ejpam-6228	316	26	the	the	DET
ejpam-6228	316	27	scalar	scalar	ADJ
ejpam-6228	316	28	and	and	CCONJ
ejpam-6228	316	29	vector	vector	NOUN
ejpam-6228	316	30	components	component	NOUN
ejpam-6228	316	31	separately	separately	ADV
ejpam-6228	316	32	based	base	VERB
ejpam-6228	316	33	on	on	ADP
ejpam-6228	316	34	nonlinear	nonlinear	ADJ
ejpam-6228	316	35	operations	operation	NOUN
ejpam-6228	316	36	such	such	ADJ
ejpam-6228	316	37	as568	as568	PROPN
ejpam-6228	316	38	substitution	substitution	NOUN
ejpam-6228	316	39	,	,	PUNCT
ejpam-6228	316	40	permutation	permutation	NOUN
ejpam-6228	316	41	,	,	PUNCT
ejpam-6228	316	42	and	and	CCONJ
ejpam-6228	316	43	quaternion	quaternion	NOUN
ejpam-6228	316	44	multiplication	multiplication	NOUN
ejpam-6228	316	45	.	.	PUNCT
ejpam-6228	317	1	by	by	ADP
ejpam-6228	317	2	placing	place	VERB
ejpam-6228	317	3	constraints	constraint	NOUN
ejpam-6228	317	4	on	on	ADP
ejpam-6228	317	5	indi-569	indi-569	ADJ
ejpam-6228	317	6	vidual	vidual	ADJ
ejpam-6228	317	7	components	component	NOUN
ejpam-6228	317	8	of	of	ADP
ejpam-6228	317	9	a	a	DET
ejpam-6228	317	10	color	color	NOUN
ejpam-6228	317	11	plane	plane	NOUN
ejpam-6228	317	12	of	of	ADP
ejpam-6228	317	13	an	an	DET
ejpam-6228	317	14	image	image	NOUN
ejpam-6228	317	15	,	,	PUNCT
ejpam-6228	317	16	this	this	PRON
ejpam-6228	317	17	further	far	ADV
ejpam-6228	317	18	strengthens	strengthen	VERB
ejpam-6228	317	19	the	the	DET
ejpam-6228	317	20	security	security	NOUN
ejpam-6228	317	21	of	of	ADP
ejpam-6228	317	22	the570	the570	PROPN
ejpam-6228	317	23	encrypted	encrypt	VERB
ejpam-6228	317	24	image	image	NOUN
ejpam-6228	317	25	such	such	ADJ
ejpam-6228	317	26	that	that	SCONJ
ejpam-6228	317	27	each	each	DET
ejpam-6228	317	28	color	color	NOUN
ejpam-6228	317	29	channel	channel	NOUN
ejpam-6228	317	30	undergoes	undergo	VERB
ejpam-6228	317	31	independent	independent	ADJ
ejpam-6228	317	32	transformations	transformation	NOUN
ejpam-6228	317	33	that571	that571	PROPN
ejpam-6228	317	34	are	be	AUX
ejpam-6228	317	35	still	still	ADV
ejpam-6228	317	36	correlated	correlate	VERB
ejpam-6228	317	37	.	.	PUNCT
ejpam-6228	318	1	the	the	DET
ejpam-6228	318	2	histograms	histogram	NOUN
ejpam-6228	318	3	of	of	ADP
ejpam-6228	318	4	the	the	DET
ejpam-6228	318	5	original	original	ADJ
ejpam-6228	318	6	and	and	CCONJ
ejpam-6228	318	7	encrypted	encrypt	VERB
ejpam-6228	318	8	images	image	NOUN
ejpam-6228	318	9	analyzed	analyze	VERB
ejpam-6228	318	10	show572	show572	PROPN
ejpam-6228	318	11	m.	m.	PROPN
ejpam-6228	318	12	sajjad	sajjad	PROPN
ejpam-6228	318	13	,	,	PUNCT
ejpam-6228	318	14	n.	n.	PROPN
ejpam-6228	318	15	a.	a.	NOUN
ejpam-6228	318	16	alqwaifly	alqwaifly	PROPN
ejpam-6228	318	17	/	/	SYM
ejpam-6228	318	18	eur	eur	PROPN
ejpam-6228	318	19	.	.	PUNCT
ejpam-6228	319	1	j.	j.	PROPN
ejpam-6228	319	2	pure	pure	PROPN
ejpam-6228	319	3	appl	appl	PROPN
ejpam-6228	319	4	.	.	PROPN
ejpam-6228	319	5	math	math	PROPN
ejpam-6228	319	6	,	,	PUNCT
ejpam-6228	319	7	18	18	NUM
ejpam-6228	319	8	(	(	PUNCT
ejpam-6228	319	9	2	2	NUM
ejpam-6228	319	10	)	)	PUNCT
ejpam-6228	319	11	(	(	PUNCT
ejpam-6228	319	12	2025	2025	NUM
ejpam-6228	319	13	)	)	PUNCT
ejpam-6228	319	14	,	,	PUNCT
ejpam-6228	319	15	6228	6228	NUM
ejpam-6228	319	16	22	22	NUM
ejpam-6228	319	17	of	of	ADP
ejpam-6228	319	18	35	35	NUM
ejpam-6228	319	19	that	that	PRON
ejpam-6228	319	20	the	the	DET
ejpam-6228	319	21	proposed	propose	VERB
ejpam-6228	319	22	quaternion	quaternion	NOUN
ejpam-6228	319	23	-	-	PUNCT
ejpam-6228	319	24	based	base	VERB
ejpam-6228	319	25	encryption	encryption	NOUN
ejpam-6228	319	26	breaks	break	VERB
ejpam-6228	319	27	the	the	DET
ejpam-6228	319	28	pixel	pixel	PROPN
ejpam-6228	319	29	correlations	correlation	NOUN
ejpam-6228	319	30	,	,	PUNCT
ejpam-6228	319	31	hence	hence	ADV
ejpam-6228	319	32	pro-573	pro-573	VERB
ejpam-6228	319	33	ducing	duce	VERB
ejpam-6228	319	34	histograms	histogram	NOUN
ejpam-6228	319	35	largely	largely	ADV
ejpam-6228	319	36	similar	similar	ADJ
ejpam-6228	319	37	to	to	ADP
ejpam-6228	319	38	signatures	signature	NOUN
ejpam-6228	319	39	of	of	ADP
ejpam-6228	319	40	randomness	randomness	NOUN
ejpam-6228	319	41	.	.	PUNCT
ejpam-6228	320	1	this	this	DET
ejpam-6228	320	2	randomness	randomness	NOUN
ejpam-6228	320	3	greatly574	greatly574	PROPN
ejpam-6228	320	4	limited	limit	VERB
ejpam-6228	320	5	the	the	DET
ejpam-6228	320	6	likelihood	likelihood	NOUN
ejpam-6228	320	7	of	of	ADP
ejpam-6228	320	8	a	a	DET
ejpam-6228	320	9	statistical	statistical	ADJ
ejpam-6228	320	10	attack	attack	NOUN
ejpam-6228	320	11	based	base	VERB
ejpam-6228	320	12	on	on	ADP
ejpam-6228	320	13	the	the	DET
ejpam-6228	320	14	encrypted	encrypt	VERB
ejpam-6228	320	15	image	image	NOUN
ejpam-6228	320	16	since	since	SCONJ
ejpam-6228	320	17	the	the	DET
ejpam-6228	320	18	attack-575	attack-575	ADJ
ejpam-6228	320	19	ers	er	NOUN
ejpam-6228	320	20	can	can	AUX
ejpam-6228	320	21	not	not	PART
ejpam-6228	320	22	learn	learn	VERB
ejpam-6228	320	23	any	any	DET
ejpam-6228	320	24	meaningful	meaningful	ADJ
ejpam-6228	320	25	information	information	NOUN
ejpam-6228	320	26	from	from	ADP
ejpam-6228	320	27	the	the	DET
ejpam-6228	320	28	encrypted	encrypt	VERB
ejpam-6228	320	29	image	image	NOUN
ejpam-6228	320	30	.	.	PUNCT
ejpam-6228	321	1	this	this	DET
ejpam-6228	321	2	encryption576	encryption576	PROPN
ejpam-6228	321	3	scheme	scheme	NOUN
ejpam-6228	321	4	is	be	AUX
ejpam-6228	321	5	proven	prove	VERB
ejpam-6228	321	6	effective	effective	ADJ
ejpam-6228	321	7	in	in	ADP
ejpam-6228	321	8	that	that	SCONJ
ejpam-6228	321	9	the	the	DET
ejpam-6228	321	10	histogram	histogram	NOUN
ejpam-6228	321	11	of	of	ADP
ejpam-6228	321	12	the	the	DET
ejpam-6228	321	13	encrypted	encrypt	VERB
ejpam-6228	321	14	image	image	NOUN
ejpam-6228	321	15	is	be	AUX
ejpam-6228	321	16	entirely	entirely	ADV
ejpam-6228	321	17	devoid577	devoid577	PROPN
ejpam-6228	321	18	of	of	ADP
ejpam-6228	321	19	any	any	DET
ejpam-6228	321	20	resemblance	resemblance	NOUN
ejpam-6228	321	21	to	to	ADP
ejpam-6228	321	22	that	that	PRON
ejpam-6228	321	23	of	of	ADP
ejpam-6228	321	24	the	the	DET
ejpam-6228	321	25	original	original	ADJ
ejpam-6228	321	26	image	image	NOUN
ejpam-6228	321	27	and	and	CCONJ
ejpam-6228	321	28	is	be	AUX
ejpam-6228	321	29	strong	strong	ADJ
ejpam-6228	321	30	against	against	ADP
ejpam-6228	321	31	frequency	frequency	NOUN
ejpam-6228	321	32	-	-	PUNCT
ejpam-6228	321	33	based578	based578	PROPN
ejpam-6228	321	34	cryptanalysis	cryptanalysis	NOUN
ejpam-6228	321	35	;	;	PUNCT
ejpam-6228	321	36	hence	hence	ADV
ejpam-6228	321	37	,	,	PUNCT
ejpam-6228	321	38	the	the	DET
ejpam-6228	321	39	images	image	NOUN
ejpam-6228	321	40	are	be	AUX
ejpam-6228	321	41	kept	keep	VERB
ejpam-6228	321	42	confidential	confidential	ADJ
ejpam-6228	321	43	[	[	X
ejpam-6228	321	44	5	5	NUM
ejpam-6228	321	45	,	,	PUNCT
ejpam-6228	321	46	16	16	NUM
ejpam-6228	321	47	,	,	PUNCT
ejpam-6228	321	48	21	21	NUM
ejpam-6228	321	49	]	]	PUNCT
ejpam-6228	321	50	.	.	PUNCT
ejpam-6228	322	1	figure	figure	NOUN
ejpam-6228	322	2	4	4	NUM
ejpam-6228	322	3	is	be	AUX
ejpam-6228	322	4	the	the	DET
ejpam-6228	322	5	multiple579	multiple579	PROPN
ejpam-6228	322	6	original	original	ADJ
ejpam-6228	322	7	and	and	CCONJ
ejpam-6228	322	8	encrypted	encrypt	VERB
ejpam-6228	322	9	rgb	rgb	PROPN
ejpam-6228	322	10	image	image	NOUN
ejpam-6228	322	11	histogram	histogram	NOUN
ejpam-6228	322	12	analysis.580	analysis.580	PROPN
ejpam-6228	322	13	figure	figure	NOUN
ejpam-6228	322	14	4	4	NUM
ejpam-6228	322	15	:	:	PUNCT
ejpam-6228	322	16	histogram	histogram	NOUN
ejpam-6228	322	17	analysis	analysis	NOUN
ejpam-6228	322	18	of	of	ADP
ejpam-6228	322	19	original	original	ADJ
ejpam-6228	322	20	and	and	CCONJ
ejpam-6228	322	21	encrypted	encrypt	VERB
ejpam-6228	322	22	images	image	NOUN
ejpam-6228	322	23	i1&i2	i1&i2	PROPN
ejpam-6228	322	24	6.2	6.2	NUM
ejpam-6228	322	25	.	.	PUNCT
ejpam-6228	323	1	npcr581	npcr581	PROPN
ejpam-6228	323	2	in	in	ADP
ejpam-6228	323	3	regards	regard	NOUN
ejpam-6228	323	4	to	to	ADP
ejpam-6228	323	5	multiple	multiple	ADJ
ejpam-6228	323	6	rgb	rgb	PROPN
ejpam-6228	323	7	image	image	NOUN
ejpam-6228	323	8	encryption	encryption	NOUN
ejpam-6228	323	9	over	over	ADP
ejpam-6228	323	10	quaternion	quaternion	NOUN
ejpam-6228	323	11	integers	integer	NOUN
ejpam-6228	324	1	,	,	PUNCT
ejpam-6228	324	2	we	we	PRON
ejpam-6228	324	3	have	have	VERB
ejpam-6228	324	4	a582	a582	PROPN
ejpam-6228	324	5	metric	metric	NOUN
ejpam-6228	324	6	of	of	ADP
ejpam-6228	324	7	key	key	ADJ
ejpam-6228	324	8	interest	interest	NOUN
ejpam-6228	324	9	:	:	PUNCT
ejpam-6228	324	10	the	the	DET
ejpam-6228	324	11	number	number	NOUN
ejpam-6228	324	12	of	of	ADP
ejpam-6228	324	13	pixels	pixel	NOUN
ejpam-6228	324	14	change	change	NOUN
ejpam-6228	324	15	rate	rate	NOUN
ejpam-6228	324	16	(	(	PUNCT
ejpam-6228	324	17	npcr	npcr	ADJ
ejpam-6228	324	18	)	)	PUNCT
ejpam-6228	324	19	,	,	PUNCT
ejpam-6228	324	20	which	which	PRON
ejpam-6228	324	21	measures	measure	VERB
ejpam-6228	324	22	how583	how583	PROPN
ejpam-6228	324	23	sensitive	sensitive	ADJ
ejpam-6228	324	24	an	an	DET
ejpam-6228	324	25	encryption	encryption	NOUN
ejpam-6228	324	26	algorithm	algorithm	NOUN
ejpam-6228	324	27	is	be	AUX
ejpam-6228	324	28	to	to	ADP
ejpam-6228	324	29	small	small	ADJ
ejpam-6228	324	30	changes	change	NOUN
ejpam-6228	324	31	in	in	ADP
ejpam-6228	324	32	the	the	DET
ejpam-6228	324	33	plaintext	plaintext	NOUN
ejpam-6228	324	34	image	image	NOUN
ejpam-6228	324	35	.	.	PUNCT
ejpam-6228	325	1	the	the	DET
ejpam-6228	325	2	npcr584	npcr584	PROPN
ejpam-6228	325	3	measures	measure	VERB
ejpam-6228	325	4	the	the	DET
ejpam-6228	325	5	percentage	percentage	NOUN
ejpam-6228	325	6	of	of	ADP
ejpam-6228	325	7	pixels	pixel	NOUN
ejpam-6228	325	8	that	that	PRON
ejpam-6228	325	9	are	be	AUX
ejpam-6228	325	10	moved	move	VERB
ejpam-6228	325	11	(	(	PUNCT
ejpam-6228	325	12	changed	change	VERB
ejpam-6228	325	13	)	)	PUNCT
ejpam-6228	325	14	in	in	ADP
ejpam-6228	325	15	the	the	DET
ejpam-6228	325	16	encrypted	encrypt	VERB
ejpam-6228	325	17	image	image	NOUN
ejpam-6228	325	18	to585	to585	NUM
ejpam-6228	325	19	only	only	ADV
ejpam-6228	325	20	one	one	NUM
ejpam-6228	325	21	changed	change	VERB
ejpam-6228	325	22	pixel	pixel	NOUN
ejpam-6228	325	23	in	in	ADP
ejpam-6228	325	24	the	the	DET
ejpam-6228	325	25	original	original	ADJ
ejpam-6228	325	26	image	image	NOUN
ejpam-6228	325	27	.	.	PUNCT
ejpam-6228	326	1	a	a	DET
ejpam-6228	326	2	higher	high	ADJ
ejpam-6228	326	3	value	value	NOUN
ejpam-6228	326	4	of	of	ADP
ejpam-6228	326	5	npcr	npcr	ADJ
ejpam-6228	326	6	indicates	indicate	VERB
ejpam-6228	326	7	that586	that586	PROPN
ejpam-6228	326	8	the	the	DET
ejpam-6228	326	9	encryption	encryption	NOUN
ejpam-6228	326	10	process	process	NOUN
ejpam-6228	326	11	spreads	spread	VERB
ejpam-6228	326	12	minor	minor	ADJ
ejpam-6228	326	13	changes	change	NOUN
ejpam-6228	326	14	over	over	ADP
ejpam-6228	326	15	the	the	DET
ejpam-6228	326	16	whole	whole	ADJ
ejpam-6228	326	17	encrypted	encrypt	VERB
ejpam-6228	326	18	image	image	NOUN
ejpam-6228	326	19	,	,	PUNCT
ejpam-6228	326	20	so	so	SCONJ
ejpam-6228	326	21	the587	the587	ADJ
ejpam-6228	326	22	changes	change	NOUN
ejpam-6228	326	23	are	be	AUX
ejpam-6228	326	24	resistant	resistant	ADJ
ejpam-6228	326	25	to	to	ADP
ejpam-6228	326	26	attacks	attack	NOUN
ejpam-6228	326	27	and	and	CCONJ
ejpam-6228	326	28	can	can	AUX
ejpam-6228	326	29	not	not	PART
ejpam-6228	326	30	be	be	AUX
ejpam-6228	326	31	used	use	VERB
ejpam-6228	326	32	to	to	PART
ejpam-6228	326	33	extract	extract	VERB
ejpam-6228	326	34	details	detail	NOUN
ejpam-6228	326	35	from	from	ADP
ejpam-6228	326	36	encrypted588	encrypted588	PROPN
ejpam-6228	326	37	images	image	NOUN
ejpam-6228	326	38	.	.	PUNCT
ejpam-6228	327	1	in	in	ADP
ejpam-6228	327	2	quaternion	quaternion	NOUN
ejpam-6228	327	3	-	-	PUNCT
ejpam-6228	327	4	based	base	VERB
ejpam-6228	327	5	encryption	encryption	NOUN
ejpam-6228	327	6	,	,	PUNCT
ejpam-6228	327	7	where	where	SCONJ
ejpam-6228	327	8	an	an	DET
ejpam-6228	327	9	rgb	rgb	PROPN
ejpam-6228	327	10	image	image	NOUN
ejpam-6228	327	11	is	be	AUX
ejpam-6228	327	12	mapped	map	VERB
ejpam-6228	327	13	to	to	ADP
ejpam-6228	327	14	quaternion589	quaternion589	PROPN
ejpam-6228	327	15	space	space	NOUN
ejpam-6228	327	16	and	and	CCONJ
ejpam-6228	327	17	processed	process	VERB
ejpam-6228	327	18	independently	independently	ADV
ejpam-6228	327	19	on	on	ADP
ejpam-6228	327	20	scalar	scalar	ADJ
ejpam-6228	327	21	and	and	CCONJ
ejpam-6228	327	22	vector	vector	NOUN
ejpam-6228	327	23	parts	part	NOUN
ejpam-6228	327	24	,	,	PUNCT
ejpam-6228	327	25	a	a	DET
ejpam-6228	327	26	small	small	ADJ
ejpam-6228	327	27	modification	modification	NOUN
ejpam-6228	327	28	to590	to590	PROPN
ejpam-6228	327	29	the	the	DET
ejpam-6228	327	30	input	input	NOUN
ejpam-6228	327	31	causes	cause	VERB
ejpam-6228	327	32	a	a	DET
ejpam-6228	327	33	large	large	ADJ
ejpam-6228	327	34	alteration	alteration	NOUN
ejpam-6228	327	35	in	in	ADP
ejpam-6228	327	36	the	the	DET
ejpam-6228	327	37	encrypted	encrypt	VERB
ejpam-6228	327	38	output	output	NOUN
ejpam-6228	327	39	.	.	PUNCT
ejpam-6228	328	1	quaternion	quaternion	VERB
ejpam-6228	328	2	multiplication,591	multiplication,591	VERB
ejpam-6228	328	3	rotation	rotation	NOUN
ejpam-6228	328	4	-	-	PUNCT
ejpam-6228	328	5	based	base	VERB
ejpam-6228	328	6	transformations	transformation	NOUN
ejpam-6228	328	7	,	,	PUNCT
ejpam-6228	328	8	and	and	CCONJ
ejpam-6228	328	9	substitution	substitution	NOUN
ejpam-6228	328	10	permutation	permutation	NOUN
ejpam-6228	328	11	networks	network	NOUN
ejpam-6228	328	12	(	(	PUNCT
ejpam-6228	328	13	spn	spn	PROPN
ejpam-6228	328	14	)	)	PUNCT
ejpam-6228	328	15	are	be	AUX
ejpam-6228	328	16	used592	used592	PROPN
ejpam-6228	328	17	to	to	PART
ejpam-6228	328	18	guarantee	guarantee	VERB
ejpam-6228	328	19	even	even	ADV
ejpam-6228	328	20	a	a	DET
ejpam-6228	328	21	very	very	ADV
ejpam-6228	328	22	small	small	ADJ
ejpam-6228	328	23	change	change	NOUN
ejpam-6228	328	24	in	in	ADP
ejpam-6228	328	25	any	any	DET
ejpam-6228	328	26	one	one	NUM
ejpam-6228	328	27	pixel	pixel	NOUN
ejpam-6228	328	28	will	will	AUX
ejpam-6228	328	29	propagate	propagate	VERB
ejpam-6228	328	30	unintelligibly	unintelligibly	ADV
ejpam-6228	328	31	into593	into593	PROPN
ejpam-6228	328	32	all	all	DET
ejpam-6228	328	33	three	three	NUM
ejpam-6228	328	34	color	color	NOUN
ejpam-6228	328	35	channels	channel	NOUN
ejpam-6228	328	36	.	.	PUNCT
ejpam-6228	329	1	therefore	therefore	ADV
ejpam-6228	329	2	,	,	PUNCT
ejpam-6228	329	3	an	an	DET
ejpam-6228	329	4	ideal	ideal	ADJ
ejpam-6228	329	5	quaternion	quaternion	NOUN
ejpam-6228	329	6	-	-	PUNCT
ejpam-6228	329	7	based	base	VERB
ejpam-6228	329	8	encryption	encryption	NOUN
ejpam-6228	329	9	scheme	scheme	NOUN
ejpam-6228	329	10	achieves594	achieves594	PROPN
ejpam-6228	329	11	npcr	npcr	ADV
ejpam-6228	329	12	near	near	ADV
ejpam-6228	329	13	to	to	ADP
ejpam-6228	329	14	99	99	NUM
ejpam-6228	329	15	%	%	NOUN
ejpam-6228	329	16	,	,	PUNCT
ejpam-6228	329	17	indicating	indicate	VERB
ejpam-6228	329	18	that	that	SCONJ
ejpam-6228	329	19	the	the	DET
ejpam-6228	329	20	encryption	encryption	NOUN
ejpam-6228	329	21	method	method	NOUN
ejpam-6228	329	22	gives	give	VERB
ejpam-6228	329	23	a	a	DET
ejpam-6228	329	24	high	high	ADJ
ejpam-6228	329	25	degree	degree	NOUN
ejpam-6228	329	26	of	of	ADP
ejpam-6228	329	27	random-595	random-595	PROPN
ejpam-6228	329	28	m.	m.	PROPN
ejpam-6228	329	29	sajjad	sajjad	PROPN
ejpam-6228	329	30	,	,	PUNCT
ejpam-6228	329	31	n.	n.	PROPN
ejpam-6228	329	32	a.	a.	NOUN
ejpam-6228	329	33	alqwaifly	alqwaifly	PROPN
ejpam-6228	329	34	/	/	SYM
ejpam-6228	329	35	eur	eur	PROPN
ejpam-6228	329	36	.	.	PUNCT
ejpam-6228	330	1	j.	j.	PROPN
ejpam-6228	330	2	pure	pure	PROPN
ejpam-6228	330	3	appl	appl	PROPN
ejpam-6228	330	4	.	.	PROPN
ejpam-6228	330	5	math	math	PROPN
ejpam-6228	330	6	,	,	PUNCT
ejpam-6228	330	7	18	18	NUM
ejpam-6228	330	8	(	(	PUNCT
ejpam-6228	330	9	2	2	NUM
ejpam-6228	330	10	)	)	PUNCT
ejpam-6228	330	11	(	(	PUNCT
ejpam-6228	330	12	2025	2025	NUM
ejpam-6228	330	13	)	)	PUNCT
ejpam-6228	330	14	,	,	PUNCT
ejpam-6228	330	15	6228	6228	NUM
ejpam-6228	330	16	23	23	NUM
ejpam-6228	330	17	of	of	ADP
ejpam-6228	330	18	35	35	NUM
ejpam-6228	330	19	ness	ness	NOUN
ejpam-6228	330	20	and	and	CCONJ
ejpam-6228	330	21	unpredictability	unpredictability	NOUN
ejpam-6228	330	22	,	,	PUNCT
ejpam-6228	330	23	making	make	VERB
ejpam-6228	330	24	it	it	PRON
ejpam-6228	330	25	very	very	ADV
ejpam-6228	330	26	hard	hard	ADV
ejpam-6228	330	27	to	to	PART
ejpam-6228	330	28	extract	extract	VERB
ejpam-6228	330	29	meaningful	meaningful	ADJ
ejpam-6228	330	30	info	info	NOUN
ejpam-6228	330	31	from	from	ADP
ejpam-6228	330	32	encrypted596	encrypted596	PROPN
ejpam-6228	330	33	pictures	picture	NOUN
ejpam-6228	330	34	for	for	ADP
ejpam-6228	330	35	the	the	DET
ejpam-6228	330	36	assailants	assailant	NOUN
ejpam-6228	330	37	[	[	X
ejpam-6228	330	38	5	5	NUM
ejpam-6228	330	39	,	,	PUNCT
ejpam-6228	330	40	16	16	NUM
ejpam-6228	330	41	,	,	PUNCT
ejpam-6228	330	42	21	21	NUM
ejpam-6228	330	43	,	,	PUNCT
ejpam-6228	330	44	34	34	NUM
ejpam-6228	330	45	]	]	PUNCT
ejpam-6228	330	46	.	.	PUNCT
ejpam-6228	331	1	the	the	DET
ejpam-6228	331	2	npcr	npcr	ADJ
ejpam-6228	331	3	results	result	NOUN
ejpam-6228	331	4	are	be	AUX
ejpam-6228	331	5	in	in	ADP
ejpam-6228	331	6	table	table	NOUN
ejpam-6228	331	7	16.597	16.597	NUM
ejpam-6228	331	8	6.3	6.3	NUM
ejpam-6228	331	9	.	.	PUNCT
ejpam-6228	332	1	uaci598	uaci598	PROPN
ejpam-6228	332	2	the	the	DET
ejpam-6228	332	3	unified	unified	ADJ
ejpam-6228	332	4	average	average	ADJ
ejpam-6228	332	5	changing	change	VERB
ejpam-6228	332	6	intensity	intensity	NOUN
ejpam-6228	332	7	(	(	PUNCT
ejpam-6228	332	8	uaci	uaci	PROPN
ejpam-6228	332	9	)	)	PUNCT
ejpam-6228	332	10	is	be	AUX
ejpam-6228	332	11	another	another	DET
ejpam-6228	332	12	important	important	ADJ
ejpam-6228	332	13	metric	metric	ADJ
ejpam-6228	332	14	used	use	VERB
ejpam-6228	332	15	to599	to599	NOUN
ejpam-6228	332	16	assess	assess	VERB
ejpam-6228	332	17	the	the	DET
ejpam-6228	332	18	use	use	NOUN
ejpam-6228	332	19	of	of	ADP
ejpam-6228	332	20	the	the	DET
ejpam-6228	332	21	image	image	NOUN
ejpam-6228	332	22	encryption	encryption	NOUN
ejpam-6228	332	23	algorithm	algorithm	NOUN
ejpam-6228	332	24	to	to	PART
ejpam-6228	332	25	measure	measure	VERB
ejpam-6228	332	26	the	the	DET
ejpam-6228	332	27	average	average	ADJ
ejpam-6228	332	28	intensity	intensity	NOUN
ejpam-6228	332	29	difference600	difference600	PROPN
ejpam-6228	332	30	between	between	ADP
ejpam-6228	332	31	the	the	DET
ejpam-6228	332	32	original	original	ADJ
ejpam-6228	332	33	and	and	CCONJ
ejpam-6228	332	34	the	the	DET
ejpam-6228	332	35	encrypted	encrypt	VERB
ejpam-6228	332	36	images	image	NOUN
ejpam-6228	332	37	.	.	PUNCT
ejpam-6228	333	1	higher	high	ADJ
ejpam-6228	333	2	uaci	uaci	NOUN
ejpam-6228	333	3	values	value	NOUN
ejpam-6228	333	4	quantify	quantify	VERB
ejpam-6228	333	5	the	the	DET
ejpam-6228	333	6	impact601	impact601	PROPN
ejpam-6228	333	7	of	of	ADP
ejpam-6228	333	8	small	small	ADJ
ejpam-6228	333	9	changes	change	NOUN
ejpam-6228	333	10	in	in	ADP
ejpam-6228	333	11	the	the	DET
ejpam-6228	333	12	plaintext	plaintext	NOUN
ejpam-6228	333	13	image	image	NOUN
ejpam-6228	333	14	on	on	ADP
ejpam-6228	333	15	the	the	DET
ejpam-6228	333	16	encrypted	encrypt	VERB
ejpam-6228	333	17	image	image	NOUN
ejpam-6228	333	18	,	,	PUNCT
ejpam-6228	333	19	i.e.	i.e.	X
ejpam-6228	333	20	,	,	PUNCT
ejpam-6228	333	21	the	the	DET
ejpam-6228	333	22	stronger	strong	ADJ
ejpam-6228	333	23	the602	the602	NOUN
ejpam-6228	333	24	diffusion	diffusion	NOUN
ejpam-6228	333	25	properties	property	NOUN
ejpam-6228	333	26	.	.	PUNCT
ejpam-6228	334	1	for	for	ADP
ejpam-6228	334	2	the	the	DET
ejpam-6228	334	3	encryption	encryption	NOUN
ejpam-6228	334	4	over	over	ADP
ejpam-6228	334	5	quaternion	quaternion	NOUN
ejpam-6228	334	6	integers	integer	NOUN
ejpam-6228	334	7	in	in	ADP
ejpam-6228	334	8	multiple	multiple	ADJ
ejpam-6228	334	9	rgb	rgb	PROPN
ejpam-6228	334	10	images,603	images,603	PROPN
ejpam-6228	334	11	uaci	uaci	PROPN
ejpam-6228	334	12	is	be	AUX
ejpam-6228	334	13	used	use	VERB
ejpam-6228	334	14	to	to	PART
ejpam-6228	334	15	evaluate	evaluate	VERB
ejpam-6228	334	16	how	how	SCONJ
ejpam-6228	334	17	efficiently	efficiently	ADV
ejpam-6228	334	18	the	the	DET
ejpam-6228	334	19	encryption	encryption	NOUN
ejpam-6228	334	20	spoils	spoil	VERB
ejpam-6228	334	21	the	the	DET
ejpam-6228	334	22	overall	overall	ADJ
ejpam-6228	334	23	pixel	pixel	NOUN
ejpam-6228	334	24	intensity604	intensity604	PROPN
ejpam-6228	334	25	distribution	distribution	NOUN
ejpam-6228	334	26	in	in	ADP
ejpam-6228	334	27	different	different	ADJ
ejpam-6228	334	28	color	color	NOUN
ejpam-6228	334	29	channels	channel	NOUN
ejpam-6228	334	30	.	.	PUNCT
ejpam-6228	335	1	as	as	SCONJ
ejpam-6228	335	2	quaternion	quaternion	NOUN
ejpam-6228	335	3	-	-	PUNCT
ejpam-6228	335	4	based	base	VERB
ejpam-6228	335	5	encryption	encryption	NOUN
ejpam-6228	335	6	encrypts	encrypt	VERB
ejpam-6228	335	7	the	the	DET
ejpam-6228	335	8	scalar605	scalar605	PROPN
ejpam-6228	335	9	and	and	CCONJ
ejpam-6228	335	10	vector	vector	NOUN
ejpam-6228	335	11	components	component	NOUN
ejpam-6228	335	12	of	of	ADP
ejpam-6228	335	13	an	an	DET
ejpam-6228	335	14	image	image	NOUN
ejpam-6228	335	15	independently	independently	ADV
ejpam-6228	335	16	and	and	CCONJ
ejpam-6228	335	17	applies	apply	VERB
ejpam-6228	335	18	modular	modular	ADJ
ejpam-6228	335	19	arithmetic	arithmetic	ADJ
ejpam-6228	335	20	,	,	PUNCT
ejpam-6228	335	21	affine606	affine606	PROPN
ejpam-6228	335	22	mappings	mapping	NOUN
ejpam-6228	335	23	,	,	PUNCT
ejpam-6228	335	24	and	and	CCONJ
ejpam-6228	335	25	quaternion	quaternion	NOUN
ejpam-6228	335	26	rotations	rotation	NOUN
ejpam-6228	335	27	to	to	ADP
ejpam-6228	335	28	the	the	DET
ejpam-6228	335	29	transformed	transform	VERB
ejpam-6228	335	30	form	form	NOUN
ejpam-6228	335	31	independent	independent	ADJ
ejpam-6228	335	32	of	of	ADP
ejpam-6228	335	33	each	each	DET
ejpam-6228	335	34	other,607	other,607	PROPN
ejpam-6228	335	35	the	the	DET
ejpam-6228	335	36	slight	slight	ADJ
ejpam-6228	335	37	changes	change	NOUN
ejpam-6228	335	38	in	in	ADP
ejpam-6228	335	39	the	the	DET
ejpam-6228	335	40	input	input	NOUN
ejpam-6228	335	41	will	will	AUX
ejpam-6228	335	42	have	have	VERB
ejpam-6228	335	43	a	a	DET
ejpam-6228	335	44	large	large	ADJ
ejpam-6228	335	45	variation	variation	NOUN
ejpam-6228	335	46	in	in	ADP
ejpam-6228	335	47	pixel	pixel	PROPN
ejpam-6228	335	48	intensity	intensity	NOUN
ejpam-6228	335	49	after	after	ADP
ejpam-6228	335	50	encryption.608	encryption.608	NOUN
ejpam-6228	335	51	using	use	VERB
ejpam-6228	335	52	this	this	DET
ejpam-6228	335	53	enhanced	enhance	VERB
ejpam-6228	335	54	diffusion	diffusion	NOUN
ejpam-6228	335	55	mechanism	mechanism	NOUN
ejpam-6228	335	56	,	,	PUNCT
ejpam-6228	335	57	attackers	attacker	NOUN
ejpam-6228	335	58	are	be	AUX
ejpam-6228	335	59	prevented	prevent	VERB
ejpam-6228	335	60	from	from	ADP
ejpam-6228	335	61	building	build	VERB
ejpam-6228	335	62	statistical609	statistical609	PROPN
ejpam-6228	335	63	correlations	correlation	NOUN
ejpam-6228	335	64	between	between	ADP
ejpam-6228	335	65	the	the	DET
ejpam-6228	335	66	encrypted	encrypt	VERB
ejpam-6228	335	67	and	and	CCONJ
ejpam-6228	335	68	unencrypted	unencrypted	ADJ
ejpam-6228	335	69	images	image	NOUN
ejpam-6228	335	70	for	for	ADP
ejpam-6228	335	71	security	security	NOUN
ejpam-6228	335	72	.	.	PUNCT
ejpam-6228	336	1	typically	typically	ADV
ejpam-6228	336	2	,	,	PUNCT
ejpam-6228	336	3	an610	an610	VERB
ejpam-6228	336	4	optimal	optimal	ADJ
ejpam-6228	336	5	quaternion	quaternion	NOUN
ejpam-6228	336	6	-	-	PUNCT
ejpam-6228	336	7	based	base	VERB
ejpam-6228	336	8	encryption	encryption	NOUN
ejpam-6228	336	9	scheme	scheme	NOUN
ejpam-6228	336	10	achieves	achieve	VERB
ejpam-6228	336	11	a	a	DET
ejpam-6228	336	12	high	high	ADJ
ejpam-6228	336	13	uaci	uaci	NOUN
ejpam-6228	336	14	value	value	NOUN
ejpam-6228	336	15	,	,	PUNCT
ejpam-6228	336	16	indicating	indicate	VERB
ejpam-6228	336	17	that611	that611	PROPN
ejpam-6228	336	18	the	the	DET
ejpam-6228	336	19	mean	mean	NOUN
ejpam-6228	336	20	of	of	ADP
ejpam-6228	336	21	change	change	NOUN
ejpam-6228	336	22	across	across	ADP
ejpam-6228	336	23	the	the	DET
ejpam-6228	336	24	encrypted	encrypt	VERB
ejpam-6228	336	25	image	image	NOUN
ejpam-6228	336	26	is	be	AUX
ejpam-6228	336	27	sufficiently	sufficiently	ADV
ejpam-6228	336	28	high	high	ADJ
ejpam-6228	336	29	with	with	ADP
ejpam-6228	336	30	substantial	substantial	ADJ
ejpam-6228	336	31	change612	change612	PROPN
ejpam-6228	336	32	in	in	ADP
ejpam-6228	336	33	pixel	pixel	PROPN
ejpam-6228	336	34	intensity	intensity	NOUN
ejpam-6228	336	35	,	,	PUNCT
ejpam-6228	336	36	which	which	PRON
ejpam-6228	336	37	is	be	AUX
ejpam-6228	336	38	the	the	DET
ejpam-6228	336	39	most	most	ADV
ejpam-6228	336	40	important	important	ADJ
ejpam-6228	336	41	factor	factor	NOUN
ejpam-6228	336	42	in	in	ADP
ejpam-6228	336	43	resisting	resist	VERB
ejpam-6228	336	44	statistical	statistical	ADJ
ejpam-6228	336	45	and	and	CCONJ
ejpam-6228	336	46	differential613	differential613	ADJ
ejpam-6228	336	47	attacks	attack	NOUN
ejpam-6228	336	48	[	[	X
ejpam-6228	336	49	5	5	NUM
ejpam-6228	336	50	,	,	PUNCT
ejpam-6228	336	51	16	16	NUM
ejpam-6228	336	52	,	,	PUNCT
ejpam-6228	336	53	21	21	NUM
ejpam-6228	336	54	,	,	PUNCT
ejpam-6228	336	55	34	34	NUM
ejpam-6228	336	56	]	]	PUNCT
ejpam-6228	336	57	.	.	PUNCT
ejpam-6228	337	1	the	the	DET
ejpam-6228	337	2	uaci	uaci	NOUN
ejpam-6228	337	3	results	result	NOUN
ejpam-6228	337	4	are	be	AUX
ejpam-6228	337	5	in	in	ADP
ejpam-6228	337	6	table	table	NOUN
ejpam-6228	337	7	16.614	16.614	NUM
ejpam-6228	337	8	table	table	NOUN
ejpam-6228	337	9	16	16	NUM
ejpam-6228	337	10	:	:	PUNCT
ejpam-6228	337	11	npcr	npcr	ADJ
ejpam-6228	337	12	and	and	CCONJ
ejpam-6228	337	13	uaci	uaci	NOUN
ejpam-6228	337	14	analysis	analysis	NOUN
ejpam-6228	337	15	npcr	npcr	ADJ
ejpam-6228	337	16	uaci	uaci	NOUN
ejpam-6228	337	17	images	image	VERB
ejpam-6228	337	18	red	red	ADJ
ejpam-6228	337	19	green	green	ADJ
ejpam-6228	337	20	blue	blue	ADJ
ejpam-6228	337	21	red	red	ADJ
ejpam-6228	337	22	green	green	PROPN
ejpam-6228	337	23	blue	blue	ADJ
ejpam-6228	337	24	image	image	NOUN
ejpam-6228	337	25	i1	i1	PROPN
ejpam-6228	337	26	0.9962	0.9962	NUM
ejpam-6228	337	27	0.9962	0.9962	NUM
ejpam-6228	337	28	0.9961	0.9961	NUM
ejpam-6228	337	29	0.2999	0.2999	NUM
ejpam-6228	337	30	0.3145	0.3145	NUM
ejpam-6228	337	31	0.3185	0.3185	NUM
ejpam-6228	337	32	image	image	NOUN
ejpam-6228	337	33	i2	i2	NOUN
ejpam-6228	337	34	0.9960	0.9960	NUM
ejpam-6228	337	35	0.9961	0.9961	NUM
ejpam-6228	337	36	0.9963	0.9963	NUM
ejpam-6228	337	37	0.2956	0.2956	NUM
ejpam-6228	337	38	0.3094	0.3094	NUM
ejpam-6228	337	39	0.3112	0.3112	NUM
ejpam-6228	338	1	[	[	X
ejpam-6228	338	2	16	16	NUM
ejpam-6228	338	3	]	]	PUNCT
ejpam-6228	338	4	0.9960	0.9960	NUM
ejpam-6228	339	1	0.9961	0.9961	NUM
ejpam-6228	339	2	0.9961	0.9961	NUM
ejpam-6228	339	3	0.3347	0.3347	NUM
ejpam-6228	339	4	0.3347	0.3347	ADJ
ejpam-6228	339	5	0.3346	0.3346	NUM
ejpam-6228	339	6	[	[	X
ejpam-6228	339	7	21	21	NUM
ejpam-6228	339	8	]	]	PUNCT
ejpam-6228	339	9	0.9969	0.9969	NUM
ejpam-6228	339	10	0.9969	0.9969	NUM
ejpam-6228	339	11	0.9966	0.9966	NUM
ejpam-6228	339	12	0.3367	0.3367	NUM
ejpam-6228	339	13	0.3332	0.3332	NUM
ejpam-6228	339	14	0.3367	0.3367	NUM
ejpam-6228	339	15	[	[	X
ejpam-6228	339	16	34	34	NUM
ejpam-6228	339	17	]	]	PUNCT
ejpam-6228	339	18	0.9961	0.9961	NUM
ejpam-6228	339	19	0.9961	0.9961	NUM
ejpam-6228	339	20	0.9961	0.9961	NUM
ejpam-6228	339	21	0.3544	0.3544	NUM
ejpam-6228	339	22	0.3177	0.3177	NUM
ejpam-6228	339	23	0.3419	0.3419	NUM
ejpam-6228	340	1	[	[	X
ejpam-6228	340	2	5	5	NUM
ejpam-6228	340	3	]	]	PUNCT
ejpam-6228	340	4	0.9959	0.9959	NUM
ejpam-6228	340	5	0.9964	0.9964	NUM
ejpam-6228	340	6	0.9962	0.9962	NUM
ejpam-6228	340	7	0.3269	0.3269	NUM
ejpam-6228	340	8	0.3037	0.3037	NUM
ejpam-6228	340	9	0.2762	0.2762	NUM
ejpam-6228	340	10	6.4	6.4	NUM
ejpam-6228	340	11	.	.	PUNCT
ejpam-6228	341	1	maximum	maximum	ADJ
ejpam-6228	341	2	deviation615	deviation615	PROPN
ejpam-6228	341	3	maximum	maximum	ADJ
ejpam-6228	341	4	deviation	deviation	NOUN
ejpam-6228	341	5	analysis	analysis	NOUN
ejpam-6228	341	6	is	be	AUX
ejpam-6228	341	7	an	an	DET
ejpam-6228	341	8	important	important	ADJ
ejpam-6228	341	9	statistical	statistical	ADJ
ejpam-6228	341	10	measure	measure	NOUN
ejpam-6228	341	11	for	for	ADP
ejpam-6228	341	12	the	the	DET
ejpam-6228	341	13	modelling616	modelling616	PROPN
ejpam-6228	341	14	and	and	CCONJ
ejpam-6228	341	15	evaluation	evaluation	NOUN
ejpam-6228	341	16	of	of	ADP
ejpam-6228	341	17	the	the	DET
ejpam-6228	341	18	randomness	randomness	NOUN
ejpam-6228	341	19	and	and	CCONJ
ejpam-6228	341	20	effectiveness	effectiveness	NOUN
ejpam-6228	341	21	of	of	ADP
ejpam-6228	341	22	the	the	DET
ejpam-6228	341	23	encryption	encryption	NOUN
ejpam-6228	341	24	of	of	ADP
ejpam-6228	341	25	quaternion	quaternion	ADJ
ejpam-6228	341	26	inte-617	inte-617	ADJ
ejpam-6228	341	27	gers	ger	NOUN
ejpam-6228	341	28	into	into	ADP
ejpam-6228	341	29	multiple	multiple	ADJ
ejpam-6228	341	30	rgb	rgb	PROPN
ejpam-6228	341	31	images	image	NOUN
ejpam-6228	341	32	.	.	PUNCT
ejpam-6228	342	1	it	it	PRON
ejpam-6228	342	2	quantifies	quantify	VERB
ejpam-6228	342	3	the	the	DET
ejpam-6228	342	4	largest	large	ADJ
ejpam-6228	342	5	absolute	absolute	ADJ
ejpam-6228	342	6	difference	difference	NOUN
ejpam-6228	342	7	between	between	ADP
ejpam-6228	342	8	the618	the618	PROPN
ejpam-6228	342	9	pixel	pixel	PROPN
ejpam-6228	342	10	intensity	intensity	NOUN
ejpam-6228	342	11	distributions	distribution	NOUN
ejpam-6228	342	12	of	of	ADP
ejpam-6228	342	13	the	the	DET
ejpam-6228	342	14	original	original	ADJ
ejpam-6228	342	15	and	and	CCONJ
ejpam-6228	342	16	encrypted	encrypt	VERB
ejpam-6228	342	17	images	image	NOUN
ejpam-6228	342	18	and	and	CCONJ
ejpam-6228	342	19	gives	give	VERB
ejpam-6228	342	20	insight	insight	NOUN
ejpam-6228	342	21	into619	into619	NUM
ejpam-6228	342	22	how	how	SCONJ
ejpam-6228	342	23	well	well	ADV
ejpam-6228	342	24	the	the	DET
ejpam-6228	342	25	encryption	encryption	NOUN
ejpam-6228	342	26	algorithm	algorithm	NOUN
ejpam-6228	342	27	disrupts	disrupt	VERB
ejpam-6228	342	28	the	the	DET
ejpam-6228	342	29	structural	structural	ADJ
ejpam-6228	342	30	properties	property	NOUN
ejpam-6228	342	31	of	of	ADP
ejpam-6228	342	32	the	the	DET
ejpam-6228	342	33	input	input	NOUN
ejpam-6228	342	34	data.620	data.620	PROPN
ejpam-6228	342	35	the	the	PRON
ejpam-6228	342	36	larger	large	ADJ
ejpam-6228	342	37	the	the	DET
ejpam-6228	342	38	maximum	maximum	ADJ
ejpam-6228	342	39	deviation	deviation	NOUN
ejpam-6228	342	40	value	value	NOUN
ejpam-6228	342	41	,	,	PUNCT
ejpam-6228	342	42	the	the	PRON
ejpam-6228	342	43	better	well	ADJ
ejpam-6228	342	44	the	the	DET
ejpam-6228	342	45	encryption	encryption	NOUN
ejpam-6228	342	46	scheme	scheme	NOUN
ejpam-6228	342	47	,	,	PUNCT
ejpam-6228	342	48	as	as	SCONJ
ejpam-6228	342	49	it	it	PRON
ejpam-6228	342	50	im-621	im-621	VERB
ejpam-6228	342	51	plies	ply	NOUN
ejpam-6228	342	52	that	that	SCONJ
ejpam-6228	342	53	the	the	DET
ejpam-6228	342	54	encrypted	encrypt	VERB
ejpam-6228	342	55	image	image	NOUN
ejpam-6228	342	56	appears	appear	VERB
ejpam-6228	342	57	very	very	ADV
ejpam-6228	342	58	unpredictable	unpredictable	ADJ
ejpam-6228	342	59	and	and	CCONJ
ejpam-6228	342	60	significantly	significantly	ADV
ejpam-6228	342	61	distinguishes622	distinguishes622	PROPN
ejpam-6228	342	62	from	from	ADP
ejpam-6228	342	63	the	the	DET
ejpam-6228	342	64	original	original	ADJ
ejpam-6228	342	65	.	.	PUNCT
ejpam-6228	343	1	maximum	maximum	ADJ
ejpam-6228	343	2	deviation	deviation	NOUN
ejpam-6228	343	3	analysis	analysis	NOUN
ejpam-6228	343	4	is	be	AUX
ejpam-6228	343	5	used	use	VERB
ejpam-6228	343	6	to	to	PART
ejpam-6228	343	7	validate	validate	VERB
ejpam-6228	343	8	the	the	DET
ejpam-6228	343	9	diffusion	diffusion	NOUN
ejpam-6228	343	10	capability623	capability623	PROPN
ejpam-6228	343	11	m.	m.	PROPN
ejpam-6228	343	12	sajjad	sajjad	PROPN
ejpam-6228	343	13	,	,	PUNCT
ejpam-6228	343	14	n.	n.	PROPN
ejpam-6228	343	15	a.	a.	NOUN
ejpam-6228	343	16	alqwaifly	alqwaifly	PROPN
ejpam-6228	343	17	/	/	SYM
ejpam-6228	343	18	eur	eur	PROPN
ejpam-6228	343	19	.	.	PUNCT
ejpam-6228	344	1	j.	j.	PROPN
ejpam-6228	344	2	pure	pure	PROPN
ejpam-6228	344	3	appl	appl	PROPN
ejpam-6228	344	4	.	.	PROPN
ejpam-6228	344	5	math	math	PROPN
ejpam-6228	344	6	,	,	PUNCT
ejpam-6228	344	7	18	18	NUM
ejpam-6228	344	8	(	(	PUNCT
ejpam-6228	344	9	2	2	NUM
ejpam-6228	344	10	)	)	PUNCT
ejpam-6228	344	11	(	(	PUNCT
ejpam-6228	344	12	2025	2025	NUM
ejpam-6228	344	13	)	)	PUNCT
ejpam-6228	344	14	,	,	PUNCT
ejpam-6228	344	15	6228	6228	NUM
ejpam-6228	344	16	24	24	NUM
ejpam-6228	344	17	of	of	ADP
ejpam-6228	344	18	35	35	NUM
ejpam-6228	344	19	of	of	ADP
ejpam-6228	344	20	quaternion	quaternion	NOUN
ejpam-6228	344	21	-	-	PUNCT
ejpam-6228	344	22	based	base	VERB
ejpam-6228	344	23	encryption	encryption	NOUN
ejpam-6228	344	24	,	,	PUNCT
ejpam-6228	344	25	and	and	CCONJ
ejpam-6228	344	26	the	the	DET
ejpam-6228	344	27	argument	argument	NOUN
ejpam-6228	344	28	is	be	AUX
ejpam-6228	344	29	that	that	SCONJ
ejpam-6228	344	30	where	where	SCONJ
ejpam-6228	344	31	rgb	rgb	PROPN
ejpam-6228	344	32	images	image	NOUN
ejpam-6228	344	33	are	be	AUX
ejpam-6228	344	34	trans-624	trans-624	NOUN
ejpam-6228	344	35	formed	form	VERB
ejpam-6228	344	36	by	by	ADP
ejpam-6228	344	37	distinct	distinct	ADJ
ejpam-6228	344	38	transformations	transformation	NOUN
ejpam-6228	344	39	on	on	ADP
ejpam-6228	344	40	the	the	DET
ejpam-6228	344	41	scalar	scalar	ADJ
ejpam-6228	344	42	and	and	CCONJ
ejpam-6228	344	43	vector	vector	NOUN
ejpam-6228	344	44	parts	part	NOUN
ejpam-6228	344	45	of	of	ADP
ejpam-6228	344	46	quaternion	quaternion	NOUN
ejpam-6228	344	47	space,625	space,625	PROPN
ejpam-6228	344	48	maximum	maximum	ADJ
ejpam-6228	344	49	deviation	deviation	NOUN
ejpam-6228	344	50	analysis	analysis	NOUN
ejpam-6228	344	51	validates	validate	VERB
ejpam-6228	344	52	the	the	DET
ejpam-6228	344	53	algorithm	algorithm	NOUN
ejpam-6228	344	54	’s	’s	PART
ejpam-6228	344	55	diffusion	diffusion	NOUN
ejpam-6228	344	56	capability	capability	NOUN
ejpam-6228	344	57	.	.	PUNCT
ejpam-6228	345	1	by	by	ADP
ejpam-6228	345	2	application626	application626	PROPN
ejpam-6228	345	3	of	of	ADP
ejpam-6228	345	4	quaternion	quaternion	NOUN
ejpam-6228	345	5	multiplication	multiplication	NOUN
ejpam-6228	345	6	,	,	PUNCT
ejpam-6228	345	7	affine	affine	NOUN
ejpam-6228	345	8	transformation	transformation	NOUN
ejpam-6228	345	9	,	,	PUNCT
ejpam-6228	345	10	and	and	CCONJ
ejpam-6228	345	11	,	,	PUNCT
ejpam-6228	345	12	of	of	ADP
ejpam-6228	345	13	course	course	NOUN
ejpam-6228	345	14	,	,	PUNCT
ejpam-6228	345	15	nonlinear	nonlinear	VERB
ejpam-6228	345	16	operations,627	operations,627	ADV
ejpam-6228	345	17	the	the	DET
ejpam-6228	345	18	smallest	small	ADJ
ejpam-6228	345	19	fluctuation	fluctuation	NOUN
ejpam-6228	345	20	in	in	ADP
ejpam-6228	345	21	pixel	pixel	PROPN
ejpam-6228	345	22	value	value	NOUN
ejpam-6228	345	23	is	be	AUX
ejpam-6228	345	24	propagated	propagate	VERB
ejpam-6228	345	25	extensively	extensively	ADV
ejpam-6228	345	26	across	across	ADP
ejpam-6228	345	27	all	all	DET
ejpam-6228	345	28	the	the	DET
ejpam-6228	345	29	color	color	NOUN
ejpam-6228	345	30	chan-628	chan-628	NOUN
ejpam-6228	345	31	nels	nel	NOUN
ejpam-6228	345	32	and	and	CCONJ
ejpam-6228	345	33	makes	make	VERB
ejpam-6228	345	34	intensity	intensity	NOUN
ejpam-6228	345	35	distribution	distribution	NOUN
ejpam-6228	345	36	drastically	drastically	ADV
ejpam-6228	345	37	different	different	ADJ
ejpam-6228	345	38	.	.	PUNCT
ejpam-6228	346	1	researchers	researcher	NOUN
ejpam-6228	346	2	also	also	ADV
ejpam-6228	346	3	analyze	analyze	VERB
ejpam-6228	346	4	the629	the629	NOUN
ejpam-6228	346	5	maximum	maximum	ADJ
ejpam-6228	346	6	deviation	deviation	NOUN
ejpam-6228	346	7	between	between	ADP
ejpam-6228	346	8	histograms	histogram	NOUN
ejpam-6228	346	9	of	of	ADP
ejpam-6228	346	10	the	the	DET
ejpam-6228	346	11	original	original	ADJ
ejpam-6228	346	12	and	and	CCONJ
ejpam-6228	346	13	encryption	encryption	NOUN
ejpam-6228	346	14	images	image	NOUN
ejpam-6228	346	15	to	to	ADP
ejpam-6228	346	16	verify630	verify630	PROPN
ejpam-6228	346	17	that	that	SCONJ
ejpam-6228	346	18	the	the	DET
ejpam-6228	346	19	proposed	propose	VERB
ejpam-6228	346	20	encryption	encryption	NOUN
ejpam-6228	346	21	scheme	scheme	NOUN
ejpam-6228	346	22	successfully	successfully	ADV
ejpam-6228	346	23	removes	remove	VERB
ejpam-6228	346	24	the	the	DET
ejpam-6228	346	25	pattern	pattern	NOUN
ejpam-6228	346	26	and	and	CCONJ
ejpam-6228	346	27	is	be	AUX
ejpam-6228	346	28	not	not	PART
ejpam-6228	346	29	vulner-631	vulner-631	ADJ
ejpam-6228	346	30	able	able	ADJ
ejpam-6228	346	31	to	to	PART
ejpam-6228	346	32	statistical	statistical	ADJ
ejpam-6228	346	33	attacks	attack	NOUN
ejpam-6228	346	34	.	.	PUNCT
ejpam-6228	347	1	the	the	DET
ejpam-6228	347	2	maximum	maximum	ADJ
ejpam-6228	347	3	deviation	deviation	NOUN
ejpam-6228	347	4	values	value	NOUN
ejpam-6228	347	5	obtained	obtain	VERB
ejpam-6228	347	6	by	by	ADP
ejpam-6228	347	7	quaternion	quaternion	NOUN
ejpam-6228	347	8	-	-	PUNCT
ejpam-6228	347	9	based632	based632	NOUN
ejpam-6228	347	10	encryption	encryption	NOUN
ejpam-6228	347	11	signify	signify	VERB
ejpam-6228	347	12	its	its	PRON
ejpam-6228	347	13	robustness	robustness	NOUN
ejpam-6228	347	14	to	to	PART
ejpam-6228	347	15	provide	provide	VERB
ejpam-6228	347	16	secure	secure	ADJ
ejpam-6228	347	17	transmission	transmission	NOUN
ejpam-6228	347	18	and	and	CCONJ
ejpam-6228	347	19	storage	storage	NOUN
ejpam-6228	347	20	of	of	ADP
ejpam-6228	347	21	many	many	ADJ
ejpam-6228	347	22	rgb633	rgb633	NOUN
ejpam-6228	347	23	images	image	NOUN
ejpam-6228	347	24	against	against	ADP
ejpam-6228	347	25	crypto	crypto	NOUN
ejpam-6228	347	26	threats	threat	NOUN
ejpam-6228	347	27	[	[	X
ejpam-6228	347	28	5	5	NUM
ejpam-6228	347	29	,	,	PUNCT
ejpam-6228	347	30	34	34	NUM
ejpam-6228	347	31	]	]	PUNCT
ejpam-6228	347	32	.	.	PUNCT
ejpam-6228	348	1	table	table	NOUN
ejpam-6228	348	2	17	17	NUM
ejpam-6228	348	3	provides	provide	VERB
ejpam-6228	348	4	the	the	DET
ejpam-6228	348	5	results	result	NOUN
ejpam-6228	348	6	obtained	obtain	VERB
ejpam-6228	348	7	from	from	ADP
ejpam-6228	348	8	md634	md634	PROPN
ejpam-6228	348	9	testing.635	testing.635	PROPN
ejpam-6228	348	10	6.5	6.5	NUM
ejpam-6228	348	11	.	.	PUNCT
ejpam-6228	349	1	irregular	irregular	ADJ
ejpam-6228	349	2	deviation636	deviation636	PROPN
ejpam-6228	349	3	as	as	ADP
ejpam-6228	349	4	an	an	DET
ejpam-6228	349	5	important	important	ADJ
ejpam-6228	349	6	statistical	statistical	ADJ
ejpam-6228	349	7	measuring	measuring	NOUN
ejpam-6228	349	8	method	method	NOUN
ejpam-6228	349	9	,	,	PUNCT
ejpam-6228	349	10	irregular	irregular	ADJ
ejpam-6228	349	11	deviation	deviation	NOUN
ejpam-6228	349	12	of	of	ADP
ejpam-6228	349	13	multiple	multiple	ADJ
ejpam-6228	349	14	rgb637	rgb637	NOUN
ejpam-6228	349	15	image	image	NOUN
ejpam-6228	349	16	encryption	encryption	NOUN
ejpam-6228	349	17	over	over	ADP
ejpam-6228	349	18	quaternion	quaternion	NOUN
ejpam-6228	349	19	integers	integer	NOUN
ejpam-6228	349	20	is	be	AUX
ejpam-6228	349	21	carried	carry	VERB
ejpam-6228	349	22	out	out	ADP
ejpam-6228	349	23	.	.	PUNCT
ejpam-6228	350	1	this	this	DET
ejpam-6228	350	2	analysis	analysis	NOUN
ejpam-6228	350	3	checks	check	VERB
ejpam-6228	350	4	whether638	whether638	PROPN
ejpam-6228	350	5	the	the	DET
ejpam-6228	350	6	histograms	histogram	NOUN
ejpam-6228	350	7	of	of	ADP
ejpam-6228	350	8	the	the	DET
ejpam-6228	350	9	encrypted	encrypt	VERB
ejpam-6228	350	10	images	image	NOUN
ejpam-6228	350	11	have	have	AUX
ejpam-6228	350	12	been	be	AUX
ejpam-6228	350	13	regularized	regularize	VERB
ejpam-6228	350	14	to	to	ADP
ejpam-6228	350	15	an	an	DET
ejpam-6228	350	16	extent	extent	NOUN
ejpam-6228	350	17	comparable639	comparable639	PROPN
ejpam-6228	350	18	to	to	ADP
ejpam-6228	350	19	that	that	PRON
ejpam-6228	350	20	of	of	ADP
ejpam-6228	350	21	the	the	DET
ejpam-6228	350	22	histogram	histogram	NOUN
ejpam-6228	350	23	between	between	ADP
ejpam-6228	350	24	the	the	DET
ejpam-6228	350	25	histogram	histogram	NOUN
ejpam-6228	350	26	of	of	ADP
ejpam-6228	350	27	the	the	DET
ejpam-6228	350	28	original	original	ADJ
ejpam-6228	350	29	and	and	CCONJ
ejpam-6228	350	30	encrypted	encrypt	VERB
ejpam-6228	350	31	images	image	NOUN
ejpam-6228	350	32	by640	by640	VERB
ejpam-6228	350	33	the	the	DET
ejpam-6228	350	34	encryption	encryption	NOUN
ejpam-6228	350	35	algorithm	algorithm	NOUN
ejpam-6228	350	36	and	and	CCONJ
ejpam-6228	350	37	verifies	verifie	NOUN
ejpam-6228	350	38	that	that	PRON
ejpam-6228	350	39	such	such	ADJ
ejpam-6228	350	40	patterns	pattern	NOUN
ejpam-6228	350	41	may	may	AUX
ejpam-6228	350	42	appear	appear	VERB
ejpam-6228	350	43	in	in	ADP
ejpam-6228	350	44	the	the	DET
ejpam-6228	350	45	previous	previous	ADJ
ejpam-6228	350	46	im-641	im-641	NOUN
ejpam-6228	350	47	ages	age	NOUN
ejpam-6228	350	48	.	.	PUNCT
ejpam-6228	351	1	the	the	DET
ejpam-6228	351	2	irregular	irregular	ADJ
ejpam-6228	351	3	deviation	deviation	NOUN
ejpam-6228	351	4	value	value	NOUN
ejpam-6228	351	5	is	be	AUX
ejpam-6228	351	6	a	a	DET
ejpam-6228	351	7	high	high	ADJ
ejpam-6228	351	8	value	value	NOUN
ejpam-6228	351	9	which	which	PRON
ejpam-6228	351	10	implies	imply	VERB
ejpam-6228	351	11	that	that	SCONJ
ejpam-6228	351	12	the	the	DET
ejpam-6228	351	13	encrypted	encrypt	VERB
ejpam-6228	351	14	image642	image642	PROPN
ejpam-6228	351	15	has	have	VERB
ejpam-6228	351	16	some	some	DET
ejpam-6228	351	17	randomness	randomness	NOUN
ejpam-6228	351	18	,	,	PUNCT
ejpam-6228	351	19	and	and	CCONJ
ejpam-6228	351	20	thus	thus	ADV
ejpam-6228	351	21	attacks	attack	NOUN
ejpam-6228	351	22	can	can	AUX
ejpam-6228	351	23	not	not	PART
ejpam-6228	351	24	guess	guess	VERB
ejpam-6228	351	25	anything	anything	PRON
ejpam-6228	351	26	about	about	ADP
ejpam-6228	351	27	the	the	DET
ejpam-6228	351	28	image	image	NOUN
ejpam-6228	351	29	due	due	ADJ
ejpam-6228	351	30	to643	to643	NOUN
ejpam-6228	351	31	randomness	randomness	NOUN
ejpam-6228	351	32	.	.	PUNCT
ejpam-6228	352	1	in	in	ADP
ejpam-6228	352	2	the	the	DET
ejpam-6228	352	3	encryption	encryption	NOUN
ejpam-6228	352	4	process	process	NOUN
ejpam-6228	352	5	of	of	ADP
ejpam-6228	352	6	quaternion	quaternion	NOUN
ejpam-6228	352	7	-	-	PUNCT
ejpam-6228	352	8	based	base	VERB
ejpam-6228	352	9	encryption	encryption	NOUN
ejpam-6228	352	10	,	,	PUNCT
ejpam-6228	352	11	the	the	DET
ejpam-6228	352	12	rgb	rgb	PROPN
ejpam-6228	352	13	images644	images644	PROPN
ejpam-6228	352	14	mapped	map	VERB
ejpam-6228	352	15	in	in	ADP
ejpam-6228	352	16	quaternion	quaternion	ADJ
ejpam-6228	352	17	space	space	NOUN
ejpam-6228	352	18	are	be	AUX
ejpam-6228	352	19	subjected	subject	VERB
ejpam-6228	352	20	to	to	ADP
ejpam-6228	352	21	independent	independent	ADJ
ejpam-6228	352	22	transformations	transformation	NOUN
ejpam-6228	352	23	on	on	ADP
ejpam-6228	352	24	scalar	scalar	ADJ
ejpam-6228	352	25	and645	and645	PROPN
ejpam-6228	352	26	vector	vector	NOUN
ejpam-6228	352	27	components	component	NOUN
ejpam-6228	352	28	,	,	PUNCT
ejpam-6228	352	29	which	which	PRON
ejpam-6228	352	30	disrupts	disrupt	VERB
ejpam-6228	352	31	pixel	pixel	NOUN
ejpam-6228	352	32	intensity	intensity	NOUN
ejpam-6228	352	33	distributions	distribution	NOUN
ejpam-6228	352	34	of	of	ADP
ejpam-6228	352	35	all	all	DET
ejpam-6228	352	36	color	color	NOUN
ejpam-6228	352	37	channels	channel	NOUN
ejpam-6228	352	38	.	.	PUNCT
ejpam-6228	353	1	to646	to646	PROPN
ejpam-6228	353	2	achieve	achieve	VERB
ejpam-6228	353	3	said	say	VERB
ejpam-6228	353	4	variation	variation	NOUN
ejpam-6228	353	5	,	,	PUNCT
ejpam-6228	353	6	quaternion	quaternion	NOUN
ejpam-6228	353	7	multiplication	multiplication	NOUN
ejpam-6228	353	8	,	,	PUNCT
ejpam-6228	353	9	nonlinear	nonlinear	ADJ
ejpam-6228	353	10	transformations	transformation	NOUN
ejpam-6228	353	11	and	and	CCONJ
ejpam-6228	353	12	permu-647	permu-647	ADJ
ejpam-6228	353	13	tation	tation	NOUN
ejpam-6228	353	14	substitution	substitution	NOUN
ejpam-6228	353	15	operations	operation	NOUN
ejpam-6228	353	16	are	be	AUX
ejpam-6228	353	17	used	use	VERB
ejpam-6228	353	18	.	.	PUNCT
ejpam-6228	354	1	by	by	ADP
ejpam-6228	354	2	inspecting	inspect	VERB
ejpam-6228	354	3	the	the	DET
ejpam-6228	354	4	histograms	histogram	NOUN
ejpam-6228	354	5	of	of	ADP
ejpam-6228	354	6	the	the	DET
ejpam-6228	354	7	plaintext648	plaintext648	PROPN
ejpam-6228	354	8	and	and	CCONJ
ejpam-6228	354	9	ciphertext	ciphertext	NOUN
ejpam-6228	354	10	images	image	NOUN
ejpam-6228	354	11	with	with	ADP
ejpam-6228	354	12	regard	regard	NOUN
ejpam-6228	354	13	to	to	ADP
ejpam-6228	354	14	the	the	DET
ejpam-6228	354	15	irregular	irregular	ADJ
ejpam-6228	354	16	deviation	deviation	NOUN
ejpam-6228	354	17	,	,	PUNCT
ejpam-6228	354	18	it	it	PRON
ejpam-6228	354	19	is	be	AUX
ejpam-6228	354	20	shown	show	VERB
ejpam-6228	354	21	that	that	SCONJ
ejpam-6228	354	22	quaternion649	quaternion649	NOUN
ejpam-6228	354	23	encryption	encryption	NOUN
ejpam-6228	354	24	has	have	VERB
ejpam-6228	354	25	a	a	DET
ejpam-6228	354	26	very	very	ADV
ejpam-6228	354	27	high	high	ADJ
ejpam-6228	354	28	entropy	entropy	NOUN
ejpam-6228	354	29	.	.	PUNCT
ejpam-6228	355	1	the	the	DET
ejpam-6228	355	2	encryption	encryption	NOUN
ejpam-6228	355	3	scheme	scheme	NOUN
ejpam-6228	355	4	thus	thus	ADV
ejpam-6228	355	5	has	have	VERB
ejpam-6228	355	6	an	an	DET
ejpam-6228	355	7	additional	additional	ADJ
ejpam-6228	355	8	level	level	NOUN
ejpam-6228	355	9	of650	of650	NOUN
ejpam-6228	355	10	randomness	randomness	NOUN
ejpam-6228	355	11	that	that	PRON
ejpam-6228	355	12	prevents	prevent	VERB
ejpam-6228	355	13	statistical	statistical	ADJ
ejpam-6228	355	14	attacks	attack	NOUN
ejpam-6228	355	15	to	to	PART
ejpam-6228	355	16	secure	secure	VERB
ejpam-6228	355	17	transmission	transmission	NOUN
ejpam-6228	355	18	and	and	CCONJ
ejpam-6228	355	19	storage	storage	NOUN
ejpam-6228	355	20	of	of	ADP
ejpam-6228	355	21	multiple651	multiple651	PROPN
ejpam-6228	355	22	rgb	rgb	PROPN
ejpam-6228	355	23	images	image	NOUN
ejpam-6228	355	24	in	in	ADP
ejpam-6228	355	25	cryptographic	cryptographic	ADJ
ejpam-6228	355	26	applications	application	NOUN
ejpam-6228	355	27	[	[	X
ejpam-6228	355	28	5	5	NUM
ejpam-6228	355	29	,	,	PUNCT
ejpam-6228	355	30	34	34	NUM
ejpam-6228	355	31	]	]	PUNCT
ejpam-6228	355	32	.	.	PUNCT
ejpam-6228	356	1	the	the	DET
ejpam-6228	356	2	results	result	NOUN
ejpam-6228	356	3	regarding	regard	VERB
ejpam-6228	356	4	i	i	PROPN
ejpam-6228	356	5	d	d	PROPN
ejpam-6228	356	6	are	be	AUX
ejpam-6228	356	7	presented652	presented652	PROPN
ejpam-6228	356	8	in	in	ADP
ejpam-6228	356	9	table	table	NOUN
ejpam-6228	356	10	17.653	17.653	NUM
ejpam-6228	356	11	table	table	NOUN
ejpam-6228	356	12	17	17	NUM
ejpam-6228	356	13	:	:	PUNCT
ejpam-6228	356	14	md	md	PROPN
ejpam-6228	356	15	and	and	CCONJ
ejpam-6228	356	16	i	i	PROPN
ejpam-6228	356	17	d	d	PROPN
ejpam-6228	356	18	analysis	analysis	NOUN
ejpam-6228	357	1	npcr	npcr	ADJ
ejpam-6228	357	2	uaci	uaci	NOUN
ejpam-6228	357	3	images	image	VERB
ejpam-6228	357	4	red	red	ADJ
ejpam-6228	357	5	green	green	ADJ
ejpam-6228	357	6	blue	blue	ADJ
ejpam-6228	357	7	red	red	ADJ
ejpam-6228	357	8	green	green	PROPN
ejpam-6228	357	9	blue	blue	PROPN
ejpam-6228	357	10	image	image	PROPN
ejpam-6228	357	11	i1	i1	PROPN
ejpam-6228	357	12	encrypted	encrypt	VERB
ejpam-6228	357	13	52021	52021	NUM
ejpam-6228	357	14	61841	61841	NUM
ejpam-6228	357	15	61742	61742	NUM
ejpam-6228	358	1	38097	38097	NUM
ejpam-6228	358	2	37989	37989	NUM
ejpam-6228	358	3	37924	37924	NUM
ejpam-6228	358	4	image	image	NOUN
ejpam-6228	358	5	i2	i2	NOUN
ejpam-6228	358	6	encrypted	encrypt	VERB
ejpam-6228	358	7	61424	61424	NUM
ejpam-6228	358	8	62086	62086	NUM
ejpam-6228	358	9	52113	52113	NUM
ejpam-6228	358	10	38171	38171	NUM
ejpam-6228	358	11	37937	37937	NUM
ejpam-6228	358	12	38159	38159	NUM
ejpam-6228	359	1	[	[	X
ejpam-6228	359	2	34	34	NUM
ejpam-6228	359	3	]	]	SYM
ejpam-6228	359	4	53397	53397	NUM
ejpam-6228	359	5	48329	48329	NUM
ejpam-6228	359	6	53529	53529	NUM
ejpam-6228	359	7	29231	29231	NUM
ejpam-6228	359	8	25127	25127	NUM
ejpam-6228	359	9	28374	28374	NUM
ejpam-6228	359	10	[	[	X
ejpam-6228	359	11	5	5	NUM
ejpam-6228	359	12	]	]	PUNCT
ejpam-6228	359	13	60210	60210	NUM
ejpam-6228	359	14	47069	47069	NUM
ejpam-6228	359	15	62218	62218	NUM
ejpam-6228	359	16	26266	26266	NUM
ejpam-6228	359	17	19443	19443	NUM
ejpam-6228	359	18	27027	27027	NUM
ejpam-6228	359	19	m.	m.	NOUN
ejpam-6228	359	20	sajjad	sajjad	PROPN
ejpam-6228	359	21	,	,	PUNCT
ejpam-6228	359	22	n.	n.	PROPN
ejpam-6228	359	23	a.	a.	NOUN
ejpam-6228	359	24	alqwaifly	alqwaifly	PROPN
ejpam-6228	359	25	/	/	SYM
ejpam-6228	359	26	eur	eur	PROPN
ejpam-6228	359	27	.	.	PUNCT
ejpam-6228	360	1	j.	j.	PROPN
ejpam-6228	360	2	pure	pure	PROPN
ejpam-6228	360	3	appl	appl	PROPN
ejpam-6228	360	4	.	.	PROPN
ejpam-6228	360	5	math	math	PROPN
ejpam-6228	360	6	,	,	PUNCT
ejpam-6228	360	7	18	18	NUM
ejpam-6228	360	8	(	(	PUNCT
ejpam-6228	360	9	2	2	NUM
ejpam-6228	360	10	)	)	PUNCT
ejpam-6228	360	11	(	(	PUNCT
ejpam-6228	360	12	2025	2025	NUM
ejpam-6228	360	13	)	)	PUNCT
ejpam-6228	360	14	,	,	PUNCT
ejpam-6228	360	15	6228	6228	NUM
ejpam-6228	360	16	25	25	NUM
ejpam-6228	360	17	of	of	ADP
ejpam-6228	360	18	35	35	NUM
ejpam-6228	360	19	6.6	6.6	NUM
ejpam-6228	360	20	.	.	PUNCT
ejpam-6228	361	1	correlation	correlation	NOUN
ejpam-6228	361	2	analysis654	analysis654	PROPN
ejpam-6228	361	3	the	the	DET
ejpam-6228	361	4	term	term	NOUN
ejpam-6228	361	5	evaluation	evaluation	NOUN
ejpam-6228	361	6	metric	metric	NOUN
ejpam-6228	361	7	includes	include	VERB
ejpam-6228	361	8	correlation	correlation	NOUN
ejpam-6228	361	9	analysis	analysis	NOUN
ejpam-6228	361	10	,	,	PUNCT
ejpam-6228	361	11	horizontal	horizontal	ADJ
ejpam-6228	361	12	,	,	PUNCT
ejpam-6228	361	13	vertical	vertical	ADJ
ejpam-6228	361	14	and	and	CCONJ
ejpam-6228	361	15	di-655	di-655	VERB
ejpam-6228	361	16	agonal	agonal	ADJ
ejpam-6228	361	17	correlation	correlation	NOUN
ejpam-6228	361	18	in	in	ADP
ejpam-6228	361	19	order	order	NOUN
ejpam-6228	361	20	to	to	PART
ejpam-6228	361	21	measure	measure	VERB
ejpam-6228	361	22	the	the	DET
ejpam-6228	361	23	average	average	ADJ
ejpam-6228	361	24	security	security	NOUN
ejpam-6228	361	25	of	of	ADP
ejpam-6228	361	26	utilizing	utilize	VERB
ejpam-6228	361	27	multiple	multiple	ADJ
ejpam-6228	361	28	rgb656	rgb656	NOUN
ejpam-6228	361	29	image	image	NOUN
ejpam-6228	361	30	encryption	encryption	NOUN
ejpam-6228	361	31	with	with	ADP
ejpam-6228	361	32	quaternion	quaternion	NOUN
ejpam-6228	361	33	integers	integer	NOUN
ejpam-6228	361	34	.	.	PUNCT
ejpam-6228	362	1	in	in	ADP
ejpam-6228	362	2	an	an	DET
ejpam-6228	362	3	unencrypted	unencrypted	ADJ
ejpam-6228	362	4	image	image	NOUN
ejpam-6228	362	5	,	,	PUNCT
ejpam-6228	362	6	neighbouring	neighbouring	NOUN
ejpam-6228	362	7	pixels657	pixels657	PRON
ejpam-6228	362	8	are	be	AUX
ejpam-6228	362	9	strongly	strongly	ADV
ejpam-6228	362	10	correlated	correlate	VERB
ejpam-6228	362	11	because	because	SCONJ
ejpam-6228	362	12	natural	natural	ADJ
ejpam-6228	362	13	images	image	NOUN
ejpam-6228	362	14	are	be	AUX
ejpam-6228	362	15	full	full	ADJ
ejpam-6228	362	16	of	of	ADP
ejpam-6228	362	17	neighbouring	neighbouring	ADJ
ejpam-6228	362	18	pixels	pixel	NOUN
ejpam-6228	362	19	that	that	PRON
ejpam-6228	362	20	have658	have658	PROPN
ejpam-6228	362	21	similar	similar	ADJ
ejpam-6228	362	22	intensity	intensity	NOUN
ejpam-6228	362	23	values	value	NOUN
ejpam-6228	362	24	.	.	PUNCT
ejpam-6228	363	1	nevertheless	nevertheless	ADV
ejpam-6228	363	2	,	,	PUNCT
ejpam-6228	363	3	any	any	DET
ejpam-6228	363	4	good	good	ADJ
ejpam-6228	363	5	encryption	encryption	NOUN
ejpam-6228	363	6	scheme	scheme	NOUN
ejpam-6228	363	7	should	should	AUX
ejpam-6228	363	8	significantly659	significantly659	VERB
ejpam-6228	363	9	decrease	decrease	VERB
ejpam-6228	363	10	these	these	DET
ejpam-6228	363	11	correlations	correlation	NOUN
ejpam-6228	363	12	so	so	SCONJ
ejpam-6228	363	13	as	as	SCONJ
ejpam-6228	363	14	to	to	PART
ejpam-6228	363	15	render	render	VERB
ejpam-6228	363	16	the	the	DET
ejpam-6228	363	17	encrypted	encrypt	VERB
ejpam-6228	363	18	image	image	NOUN
ejpam-6228	363	19	look	look	VERB
ejpam-6228	363	20	like	like	ADP
ejpam-6228	363	21	nothing	nothing	PRON
ejpam-6228	363	22	but	but	SCONJ
ejpam-6228	363	23	a660	a660	PROPN
ejpam-6228	363	24	random	random	ADJ
ejpam-6228	363	25	noise	noise	NOUN
ejpam-6228	363	26	.	.	PUNCT
ejpam-6228	364	1	through	through	ADP
ejpam-6228	364	2	quaternion	quaternion	NOUN
ejpam-6228	364	3	-	-	PUNCT
ejpam-6228	364	4	based	base	VERB
ejpam-6228	364	5	encryption	encryption	NOUN
ejpam-6228	364	6	techniques	technique	NOUN
ejpam-6228	364	7	,	,	PUNCT
ejpam-6228	364	8	rg	rg	PROPN
ejpam-6228	364	9	images	image	NOUN
ejpam-6228	364	10	are	be	AUX
ejpam-6228	364	11	converted661	converted661	ADJ
ejpam-6228	364	12	to	to	PART
ejpam-6228	364	13	quaternion	quaternion	VERB
ejpam-6228	364	14	space	space	NOUN
ejpam-6228	364	15	,	,	PUNCT
ejpam-6228	364	16	and	and	CCONJ
ejpam-6228	364	17	encryption	encryption	NOUN
ejpam-6228	364	18	is	be	AUX
ejpam-6228	364	19	done	do	VERB
ejpam-6228	364	20	independently	independently	ADV
ejpam-6228	364	21	on	on	ADP
ejpam-6228	364	22	scalar	scalar	ADJ
ejpam-6228	364	23	and	and	CCONJ
ejpam-6228	364	24	vector	vector	NOUN
ejpam-6228	364	25	compo-662	compo-662	NOUN
ejpam-6228	364	26	nents	nent	NOUN
ejpam-6228	364	27	.	.	PUNCT
ejpam-6228	365	1	to	to	PART
ejpam-6228	365	2	ensure	ensure	VERB
ejpam-6228	365	3	that	that	SCONJ
ejpam-6228	365	4	neighbouring	neighbouring	ADJ
ejpam-6228	365	5	pixels	pixel	NOUN
ejpam-6228	365	6	in	in	ADP
ejpam-6228	365	7	horizontal	horizontal	ADJ
ejpam-6228	365	8	,	,	PUNCT
ejpam-6228	365	9	vertical	vertical	ADJ
ejpam-6228	365	10	,	,	PUNCT
ejpam-6228	365	11	and	and	CCONJ
ejpam-6228	365	12	diagonal	diagonal	ADJ
ejpam-6228	365	13	directions663	directions663	PROPN
ejpam-6228	365	14	all	all	PRON
ejpam-6228	365	15	receive	receive	VERB
ejpam-6228	365	16	individual	individual	ADJ
ejpam-6228	365	17	and	and	CCONJ
ejpam-6228	365	18	impossible	impossible	ADJ
ejpam-6228	365	19	-	-	PUNCT
ejpam-6228	365	20	to	to	AUX
ejpam-6228	365	21	-	-	PUNCT
ejpam-6228	365	22	predict	predict	VERB
ejpam-6228	365	23	transformations	transformation	NOUN
ejpam-6228	365	24	,	,	PUNCT
ejpam-6228	365	25	the	the	DET
ejpam-6228	365	26	process	process	NOUN
ejpam-6228	365	27	of	of	ADP
ejpam-6228	365	28	encryption664	encryption664	PROPN
ejpam-6228	365	29	involves	involve	VERB
ejpam-6228	365	30	non	non	ADJ
ejpam-6228	365	31	-	-	ADJ
ejpam-6228	365	32	linear	linear	ADJ
ejpam-6228	365	33	transformations	transformation	NOUN
ejpam-6228	365	34	,	,	PUNCT
ejpam-6228	365	35	quaternion	quaternion	NOUN
ejpam-6228	365	36	multiplication	multiplication	NOUN
ejpam-6228	365	37	,	,	PUNCT
ejpam-6228	365	38	and	and	CCONJ
ejpam-6228	365	39	substitution	substitution	NOUN
ejpam-6228	365	40	permuta-665	permuta-665	ADJ
ejpam-6228	365	41	tion	tion	NOUN
ejpam-6228	365	42	network	network	NOUN
ejpam-6228	365	43	(	(	PUNCT
ejpam-6228	365	44	spn	spn	PROPN
ejpam-6228	365	45	)	)	PUNCT
ejpam-6228	365	46	.	.	PUNCT
ejpam-6228	366	1	thus	thus	ADV
ejpam-6228	366	2	,	,	PUNCT
ejpam-6228	366	3	although	although	SCONJ
ejpam-6228	366	4	the	the	DET
ejpam-6228	366	5	neighbouring	neighbouring	NOUN
ejpam-6228	366	6	pixels	pixel	NOUN
ejpam-6228	366	7	of	of	ADP
ejpam-6228	366	8	the	the	DET
ejpam-6228	366	9	encrypted	encrypt	VERB
ejpam-6228	366	10	image	image	NOUN
ejpam-6228	366	11	still666	still666	PROPN
ejpam-6228	366	12	show	show	VERB
ejpam-6228	366	13	some	some	DET
ejpam-6228	366	14	correlation	correlation	NOUN
ejpam-6228	366	15	coefficients	coefficient	NOUN
ejpam-6228	366	16	,	,	PUNCT
ejpam-6228	366	17	they	they	PRON
ejpam-6228	366	18	are	be	AUX
ejpam-6228	366	19	approaching	approach	VERB
ejpam-6228	366	20	values	value	NOUN
ejpam-6228	366	21	close	close	ADV
ejpam-6228	366	22	to	to	ADP
ejpam-6228	366	23	zero	zero	NUM
ejpam-6228	366	24	,	,	PUNCT
ejpam-6228	366	25	which	which	PRON
ejpam-6228	366	26	means667	means667	VERB
ejpam-6228	366	27	that	that	SCONJ
ejpam-6228	366	28	there	there	PRON
ejpam-6228	366	29	is	be	VERB
ejpam-6228	366	30	no	no	DET
ejpam-6228	366	31	more	more	ADV
ejpam-6228	366	32	statistical	statistical	ADJ
ejpam-6228	366	33	relationship	relationship	NOUN
ejpam-6228	366	34	between	between	ADP
ejpam-6228	366	35	the	the	DET
ejpam-6228	366	36	adjacent	adjacent	ADJ
ejpam-6228	366	37	pixels	pixel	NOUN
ejpam-6228	366	38	.	.	PUNCT
ejpam-6228	367	1	such	such	ADJ
ejpam-6228	367	2	reduction668	reduction668	NOUN
ejpam-6228	367	3	in	in	ADP
ejpam-6228	367	4	correlation	correlation	NOUN
ejpam-6228	367	5	ensures	ensure	VERB
ejpam-6228	367	6	that	that	SCONJ
ejpam-6228	367	7	the	the	DET
ejpam-6228	367	8	encrypted	encrypt	VERB
ejpam-6228	367	9	image	image	NOUN
ejpam-6228	367	10	does	do	AUX
ejpam-6228	367	11	not	not	PART
ejpam-6228	367	12	betray	betray	VERB
ejpam-6228	367	13	any	any	DET
ejpam-6228	367	14	structural	structural	ADJ
ejpam-6228	367	15	information669	information669	PROPN
ejpam-6228	367	16	from	from	ADP
ejpam-6228	367	17	the	the	DET
ejpam-6228	367	18	original	original	ADJ
ejpam-6228	367	19	image	image	NOUN
ejpam-6228	367	20	,	,	PUNCT
ejpam-6228	367	21	so	so	CCONJ
ejpam-6228	367	22	it	it	PRON
ejpam-6228	367	23	is	be	AUX
ejpam-6228	367	24	very	very	ADV
ejpam-6228	367	25	immune	immune	ADJ
ejpam-6228	367	26	to	to	ADP
ejpam-6228	367	27	statistical	statistical	ADJ
ejpam-6228	367	28	attacks	attack	NOUN
ejpam-6228	367	29	.	.	PUNCT
ejpam-6228	368	1	then	then	ADV
ejpam-6228	368	2	it	it	PRON
ejpam-6228	368	3	is	be	AUX
ejpam-6228	368	4	found	find	VERB
ejpam-6228	368	5	that670	that670	PRON
ejpam-6228	368	6	quaternion	quaternion	NOUN
ejpam-6228	368	7	-	-	PUNCT
ejpam-6228	368	8	based	base	VERB
ejpam-6228	368	9	encryption	encryption	NOUN
ejpam-6228	368	10	can	can	AUX
ejpam-6228	368	11	significantly	significantly	ADV
ejpam-6228	368	12	enhance	enhance	VERB
ejpam-6228	368	13	security	security	NOUN
ejpam-6228	368	14	and	and	CCONJ
ejpam-6228	368	15	thus	thus	ADV
ejpam-6228	368	16	is	be	AUX
ejpam-6228	368	17	an	an	DET
ejpam-6228	368	18	effective671	effective671	PROPN
ejpam-6228	368	19	way	way	NOUN
ejpam-6228	368	20	for	for	ADP
ejpam-6228	368	21	secure	secure	ADJ
ejpam-6228	368	22	image	image	NOUN
ejpam-6228	368	23	transmission	transmission	NOUN
ejpam-6228	368	24	and	and	CCONJ
ejpam-6228	368	25	storage	storage	NOUN
ejpam-6228	368	26	by	by	ADP
ejpam-6228	368	27	comparing	compare	VERB
ejpam-6228	368	28	the	the	DET
ejpam-6228	368	29	horizontal	horizontal	ADJ
ejpam-6228	368	30	,	,	PUNCT
ejpam-6228	368	31	vertical	vertical	ADJ
ejpam-6228	368	32	and672	and672	PROPN
ejpam-6228	368	33	diagonal	diagonal	ADJ
ejpam-6228	368	34	correlations	correlation	NOUN
ejpam-6228	368	35	before	before	ADV
ejpam-6228	368	36	and	and	CCONJ
ejpam-6228	368	37	after	after	ADP
ejpam-6228	368	38	encryption	encryption	NOUN
ejpam-6228	368	39	[	[	X
ejpam-6228	368	40	5	5	NUM
ejpam-6228	368	41	,	,	PUNCT
ejpam-6228	368	42	16	16	NUM
ejpam-6228	368	43	,	,	PUNCT
ejpam-6228	368	44	21	21	NUM
ejpam-6228	368	45	,	,	PUNCT
ejpam-6228	368	46	34	34	NUM
ejpam-6228	368	47	]	]	PUNCT
ejpam-6228	368	48	.	.	PUNCT
ejpam-6228	369	1	the	the	DET
ejpam-6228	369	2	correlation	correlation	NOUN
ejpam-6228	369	3	analysis673	analysis673	PROPN
ejpam-6228	369	4	is	be	AUX
ejpam-6228	369	5	given	give	VERB
ejpam-6228	369	6	in	in	ADP
ejpam-6228	369	7	figure	figure	NOUN
ejpam-6228	369	8	5	5	NUM
ejpam-6228	369	9	and	and	CCONJ
ejpam-6228	369	10	6	6	NUM
ejpam-6228	369	11	with	with	ADP
ejpam-6228	369	12	table	table	NOUN
ejpam-6228	369	13	18	18	NUM
ejpam-6228	369	14	data.674	data.674	ADJ
ejpam-6228	369	15	figure	figure	NOUN
ejpam-6228	369	16	5	5	NUM
ejpam-6228	369	17	:	:	PUNCT
ejpam-6228	369	18	vertical	vertical	ADJ
ejpam-6228	369	19	,	,	PUNCT
ejpam-6228	369	20	diagonal	diagonal	ADJ
ejpam-6228	369	21	and	and	CCONJ
ejpam-6228	369	22	horizontal	horizontal	ADJ
ejpam-6228	369	23	correlation	correlation	NOUN
ejpam-6228	369	24	analysis	analysis	NOUN
ejpam-6228	369	25	of	of	ADP
ejpam-6228	369	26	image	image	NOUN
ejpam-6228	369	27	i1	i1	PROPN
ejpam-6228	369	28	figure	figure	VERB
ejpam-6228	369	29	6	6	NUM
ejpam-6228	369	30	:	:	PUNCT
ejpam-6228	369	31	vertical	vertical	ADJ
ejpam-6228	369	32	,	,	PUNCT
ejpam-6228	369	33	diagonal	diagonal	ADJ
ejpam-6228	369	34	and	and	CCONJ
ejpam-6228	369	35	horizontal	horizontal	ADJ
ejpam-6228	369	36	correlation	correlation	NOUN
ejpam-6228	369	37	analysis	analysis	NOUN
ejpam-6228	369	38	of	of	ADP
ejpam-6228	369	39	image	image	NOUN
ejpam-6228	369	40	i2	i2	PROPN
ejpam-6228	369	41	m.	m.	PROPN
ejpam-6228	369	42	sajjad	sajjad	PROPN
ejpam-6228	369	43	,	,	PUNCT
ejpam-6228	369	44	n.	n.	PROPN
ejpam-6228	369	45	a.	a.	NOUN
ejpam-6228	369	46	alqwaifly	alqwaifly	PROPN
ejpam-6228	369	47	/	/	SYM
ejpam-6228	369	48	eur	eur	PROPN
ejpam-6228	369	49	.	.	PUNCT
ejpam-6228	370	1	j.	j.	PROPN
ejpam-6228	370	2	pure	pure	PROPN
ejpam-6228	370	3	appl	appl	PROPN
ejpam-6228	370	4	.	.	PROPN
ejpam-6228	370	5	math	math	PROPN
ejpam-6228	370	6	,	,	PUNCT
ejpam-6228	370	7	18	18	NUM
ejpam-6228	370	8	(	(	PUNCT
ejpam-6228	370	9	2	2	NUM
ejpam-6228	370	10	)	)	PUNCT
ejpam-6228	370	11	(	(	PUNCT
ejpam-6228	370	12	2025	2025	NUM
ejpam-6228	370	13	)	)	PUNCT
ejpam-6228	370	14	,	,	PUNCT
ejpam-6228	370	15	6228	6228	NUM
ejpam-6228	370	16	26	26	NUM
ejpam-6228	370	17	of	of	ADP
ejpam-6228	370	18	35	35	NUM
ejpam-6228	370	19	table	table	NOUN
ejpam-6228	370	20	18	18	NUM
ejpam-6228	370	21	:	:	PUNCT
ejpam-6228	370	22	vertical	vertical	ADJ
ejpam-6228	370	23	,	,	PUNCT
ejpam-6228	370	24	diagonal	diagonal	ADJ
ejpam-6228	370	25	and	and	CCONJ
ejpam-6228	370	26	horizontal	horizontal	ADJ
ejpam-6228	370	27	correlation	correlation	NOUN
ejpam-6228	370	28	analysis	analysis	NOUN
ejpam-6228	370	29	of	of	ADP
ejpam-6228	370	30	different	different	ADJ
ejpam-6228	370	31	images	image	NOUN
ejpam-6228	370	32	vertical	vertical	ADJ
ejpam-6228	370	33	diagonal	diagonal	ADJ
ejpam-6228	370	34	horizontal	horizontal	ADJ
ejpam-6228	370	35	images	image	NOUN
ejpam-6228	370	36	red	red	ADJ
ejpam-6228	370	37	green	green	ADJ
ejpam-6228	370	38	blue	blue	ADJ
ejpam-6228	370	39	red	red	ADJ
ejpam-6228	370	40	green	green	PROPN
ejpam-6228	370	41	blue	blue	ADJ
ejpam-6228	370	42	red	red	ADJ
ejpam-6228	370	43	green	green	PROPN
ejpam-6228	370	44	blue	blue	ADJ
ejpam-6228	370	45	image	image	PROPN
ejpam-6228	370	46	i1	i1	PROPN
ejpam-6228	370	47	original	original	ADJ
ejpam-6228	370	48	red	red	NOUN
ejpam-6228	370	49	0.9340	0.9340	NUM
ejpam-6228	370	50	0.7323	0.7323	NUM
ejpam-6228	370	51	0.5096	0.5096	NUM
ejpam-6228	371	1	0.9038	0.9038	NUM
ejpam-6228	371	2	0.6895	0.6895	NUM
ejpam-6228	371	3	0.5161	0.5161	NUM
ejpam-6228	371	4	0.9235	0.9235	NUM
ejpam-6228	371	5	0.7030	0.7030	NUM
ejpam-6228	371	6	0.5486	0.5486	NUM
ejpam-6228	371	7	green	green	ADJ
ejpam-6228	371	8	0.5420	0.5420	NUM
ejpam-6228	371	9	0.9474	0.9474	NUM
ejpam-6228	371	10	0.9431	0.9431	NUM
ejpam-6228	371	11	0.5494	0.5494	NUM
ejpam-6228	371	12	0.9068	0.9068	NUM
ejpam-6228	371	13	0.9054	0.9054	NUM
ejpam-6228	371	14	0.5506	0.5506	NUM
ejpam-6228	371	15	0.9410	0.9410	NUM
ejpam-6228	371	16	0.9388	0.9388	NUM
ejpam-6228	371	17	blue	blue	ADJ
ejpam-6228	371	18	0.5423	0.5423	NUM
ejpam-6228	371	19	0.7284	0.7284	NUM
ejpam-6228	371	20	0.9462	0.9462	NUM
ejpam-6228	371	21	0.5679	0.5679	NUM
ejpam-6228	371	22	0.7200	0.7200	NUM
ejpam-6228	371	23	0.8945	0.8945	NUM
ejpam-6228	371	24	0.5530	0.5530	NUM
ejpam-6228	371	25	0.7589	0.7589	NUM
ejpam-6228	371	26	0.9408	0.9408	NUM
ejpam-6228	371	27	image	image	NOUN
ejpam-6228	371	28	i1	i1	PROPN
ejpam-6228	371	29	encrypted	encrypt	VERB
ejpam-6228	371	30	red	red	ADJ
ejpam-6228	371	31	-0.0400	-0.0400	PROPN
ejpam-6228	371	32	0.0067	0.0067	NUM
ejpam-6228	371	33	-0.0234	-0.0234	NOUN
ejpam-6228	371	34	-0.0026	-0.0026	PROPN
ejpam-6228	372	1	0.0017	0.0017	NUM
ejpam-6228	372	2	0.0312	0.0312	NUM
ejpam-6228	372	3	0.0284	0.0284	NUM
ejpam-6228	372	4	0.0115	0.0115	NUM
ejpam-6228	372	5	0.0365	0.0365	NUM
ejpam-6228	372	6	green	green	ADJ
ejpam-6228	372	7	0.0462	0.0462	NUM
ejpam-6228	372	8	-0.0158	-0.0158	NOUN
ejpam-6228	372	9	0.0145	0.0145	NUM
ejpam-6228	372	10	-0.0186	-0.0186	VERB
ejpam-6228	372	11	0.0074	0.0074	NUM
ejpam-6228	372	12	-0.0144	-0.0144	NOUN
ejpam-6228	373	1	0.0040	0.0040	NUM
ejpam-6228	373	2	-0.0168	-0.0168	NOUN
ejpam-6228	373	3	0.0035	0.0035	NUM
ejpam-6228	373	4	blue	blue	ADJ
ejpam-6228	373	5	0.0306	0.0306	NUM
ejpam-6228	373	6	0.0039	0.0039	NUM
ejpam-6228	373	7	-0.0308	-0.0308	NOUN
ejpam-6228	373	8	-0.0472	-0.0472	PROPN
ejpam-6228	373	9	-0.0077	-0.0077	PUNCT
ejpam-6228	374	1	0.0103	0.0103	NUM
ejpam-6228	374	2	-0.0190	-0.0190	VERB
ejpam-6228	374	3	0.0102	0.0102	NUM
ejpam-6228	374	4	0.0321	0.0321	NUM
ejpam-6228	374	5	image	image	NOUN
ejpam-6228	374	6	i2	i2	PROPN
ejpam-6228	374	7	original	original	ADJ
ejpam-6228	374	8	red	red	NOUN
ejpam-6228	374	9	0.8956	0.8956	NUM
ejpam-6228	374	10	0.6007	0.6007	NUM
ejpam-6228	374	11	0.3919	0.3919	NUM
ejpam-6228	374	12	0.8669	0.8669	NUM
ejpam-6228	374	13	0.5082	0.5082	NUM
ejpam-6228	374	14	0.3964	0.3964	NUM
ejpam-6228	374	15	0.9201	0.9201	NUM
ejpam-6228	374	16	0.6211	0.6211	NUM
ejpam-6228	374	17	0.3671	0.3671	NUM
ejpam-6228	374	18	green	green	NOUN
ejpam-6228	374	19	0.3843	0.3843	NUM
ejpam-6228	374	20	0.9275	0.9275	NUM
ejpam-6228	374	21	0.9250	0.9250	NUM
ejpam-6228	374	22	0.3603	0.3603	NUM
ejpam-6228	374	23	0.8285	0.8285	NUM
ejpam-6228	374	24	0.9071	0.9071	NUM
ejpam-6228	374	25	0.3508	0.3508	NUM
ejpam-6228	374	26	0.9142	0.9142	NUM
ejpam-6228	374	27	0.9258	0.9258	NUM
ejpam-6228	374	28	blue	blue	ADJ
ejpam-6228	374	29	0.3805	0.3805	NUM
ejpam-6228	374	30	0.7224	0.7224	NUM
ejpam-6228	374	31	0.9174	0.9174	NUM
ejpam-6228	374	32	0.3655	0.3655	NUM
ejpam-6228	374	33	0.7086	0.7086	NUM
ejpam-6228	374	34	0.8968	0.8968	NUM
ejpam-6228	374	35	0.3911	0.3911	NUM
ejpam-6228	374	36	0.7223	0.7223	NUM
ejpam-6228	374	37	0.9323	0.9323	NUM
ejpam-6228	374	38	image	image	NOUN
ejpam-6228	374	39	i2	i2	NOUN
ejpam-6228	374	40	encrypted	encrypt	VERB
ejpam-6228	374	41	red	red	PROPN
ejpam-6228	374	42	-0.0027	-0.0027	PROPN
ejpam-6228	374	43	-0.0324	-0.0324	PROPN
ejpam-6228	374	44	0.0205	0.0205	NUM
ejpam-6228	374	45	-0.0136	-0.0136	NOUN
ejpam-6228	375	1	0.0149	0.0149	NUM
ejpam-6228	375	2	0.0055	0.0055	NUM
ejpam-6228	375	3	0.0033	0.0033	NUM
ejpam-6228	375	4	-0.0675	-0.0675	NOUN
ejpam-6228	375	5	-0.0665	-0.0665	ADV
ejpam-6228	375	6	green	green	PROPN
ejpam-6228	375	7	0.0164	0.0164	NUM
ejpam-6228	375	8	-0.0081	-0.0081	NOUN
ejpam-6228	375	9	-0.0133	-0.0133	NOUN
ejpam-6228	375	10	-0.0217	-0.0217	PROPN
ejpam-6228	375	11	-0.0512	-0.0512	VERB
ejpam-6228	375	12	0.0539	0.0539	NUM
ejpam-6228	375	13	-0.0260	-0.0260	NOUN
ejpam-6228	376	1	0.0179	0.0179	NUM
ejpam-6228	376	2	0.0124	0.0124	NUM
ejpam-6228	376	3	blue	blue	NOUN
ejpam-6228	376	4	0.0425	0.0425	NUM
ejpam-6228	376	5	-0.0180	-0.0180	NOUN
ejpam-6228	376	6	0.0351	0.0351	NUM
ejpam-6228	376	7	0.0162	0.0162	NUM
ejpam-6228	376	8	-0.0239	-0.0239	NOUN
ejpam-6228	376	9	0.0115	0.0115	NUM
ejpam-6228	376	10	0.0013	0.0013	NUM
ejpam-6228	376	11	-0.0432	-0.0432	NOUN
ejpam-6228	376	12	-0.0107	-0.0107	VERB
ejpam-6228	376	13	6.7	6.7	NUM
ejpam-6228	376	14	.	.	PUNCT
ejpam-6228	377	1	information	information	NOUN
ejpam-6228	377	2	entropy675	entropy675	PROPN
ejpam-6228	378	1	it	it	PRON
ejpam-6228	378	2	is	be	AUX
ejpam-6228	378	3	an	an	DET
ejpam-6228	378	4	important	important	ADJ
ejpam-6228	378	5	figure	figure	NOUN
ejpam-6228	378	6	of	of	ADP
ejpam-6228	378	7	speech	speech	NOUN
ejpam-6228	378	8	for	for	ADP
ejpam-6228	378	9	multiple	multiple	ADJ
ejpam-6228	378	10	rgb	rgb	PROPN
ejpam-6228	378	11	image	image	NOUN
ejpam-6228	378	12	encryption	encryption	NOUN
ejpam-6228	378	13	over	over	ADP
ejpam-6228	378	14	quaternion676	quaternion676	PROPN
ejpam-6228	378	15	integers	integer	NOUN
ejpam-6228	378	16	and	and	CCONJ
ejpam-6228	378	17	randomness	randomness	NOUN
ejpam-6228	378	18	and	and	CCONJ
ejpam-6228	378	19	security	security	NOUN
ejpam-6228	378	20	.	.	PUNCT
ejpam-6228	379	1	it	it	PRON
ejpam-6228	379	2	is	be	AUX
ejpam-6228	379	3	the	the	DET
ejpam-6228	379	4	measure	measure	NOUN
ejpam-6228	379	5	of	of	ADP
ejpam-6228	379	6	uncertainty	uncertainty	NOUN
ejpam-6228	379	7	of	of	ADP
ejpam-6228	379	8	the	the	DET
ejpam-6228	379	9	encrypted677	encrypted677	PROPN
ejpam-6228	379	10	image	image	NOUN
ejpam-6228	379	11	;	;	PUNCT
ejpam-6228	379	12	in	in	ADP
ejpam-6228	379	13	an	an	DET
ejpam-6228	379	14	ideal	ideal	ADJ
ejpam-6228	379	15	encryption	encryption	NOUN
ejpam-6228	379	16	scheme	scheme	NOUN
ejpam-6228	379	17	,	,	PUNCT
ejpam-6228	379	18	the	the	DET
ejpam-6228	379	19	entropy	entropy	NOUN
ejpam-6228	379	20	value	value	NOUN
ejpam-6228	379	21	for	for	ADP
ejpam-6228	379	22	such	such	DET
ejpam-6228	379	23	an	an	DET
ejpam-6228	379	24	image	image	NOUN
ejpam-6228	379	25	with	with	ADP
ejpam-6228	379	26	8	8	NUM
ejpam-6228	379	27	bits678	bits678	PROPN
ejpam-6228	379	28	of	of	ADP
ejpam-6228	379	29	greyscale	greyscale	NOUN
ejpam-6228	379	30	or	or	CCONJ
ejpam-6228	379	31	color	color	NOUN
ejpam-6228	379	32	should	should	AUX
ejpam-6228	379	33	be	be	AUX
ejpam-6228	379	34	close	close	ADJ
ejpam-6228	379	35	to	to	ADP
ejpam-6228	379	36	8	8	NUM
ejpam-6228	379	37	,	,	PUNCT
ejpam-6228	379	38	thus	thus	ADV
ejpam-6228	379	39	indicating	indicate	VERB
ejpam-6228	379	40	a	a	DET
ejpam-6228	379	41	uniform	uniform	ADJ
ejpam-6228	379	42	distribution	distribution	NOUN
ejpam-6228	379	43	of	of	ADP
ejpam-6228	379	44	pixel679	pixel679	PROPN
ejpam-6228	379	45	intensities	intensity	NOUN
ejpam-6228	379	46	.	.	PUNCT
ejpam-6228	380	1	in	in	ADP
ejpam-6228	380	2	quaternion	quaternion	NOUN
ejpam-6228	380	3	-	-	PUNCT
ejpam-6228	380	4	based	base	VERB
ejpam-6228	380	5	encryption	encryption	NOUN
ejpam-6228	380	6	,	,	PUNCT
ejpam-6228	380	7	rgb	rgb	PROPN
ejpam-6228	380	8	images	image	NOUN
ejpam-6228	380	9	are	be	AUX
ejpam-6228	380	10	mapped	map	VERB
ejpam-6228	380	11	to	to	PART
ejpam-6228	380	12	quaternion	quaternion	VERB
ejpam-6228	380	13	space,680	space,680	ADV
ejpam-6228	380	14	followed	follow	VERB
ejpam-6228	380	15	by	by	ADP
ejpam-6228	380	16	the	the	DET
ejpam-6228	380	17	independent	independent	ADJ
ejpam-6228	380	18	transformation	transformation	NOUN
ejpam-6228	380	19	of	of	ADP
ejpam-6228	380	20	scalar	scalar	ADJ
ejpam-6228	380	21	and	and	CCONJ
ejpam-6228	380	22	vector	vector	NOUN
ejpam-6228	380	23	components	component	NOUN
ejpam-6228	380	24	of	of	ADP
ejpam-6228	380	25	each	each	DET
ejpam-6228	380	26	im-681	im-681	ADV
ejpam-6228	380	27	age	age	NOUN
ejpam-6228	380	28	according	accord	VERB
ejpam-6228	380	29	to	to	ADP
ejpam-6228	380	30	substitution	substitution	NOUN
ejpam-6228	380	31	,	,	PUNCT
ejpam-6228	380	32	permutation	permutation	NOUN
ejpam-6228	380	33	,	,	PUNCT
ejpam-6228	380	34	quaternion	quaternion	NOUN
ejpam-6228	380	35	multiplication	multiplication	NOUN
ejpam-6228	380	36	and	and	CCONJ
ejpam-6228	380	37	modular	modular	ADJ
ejpam-6228	380	38	arith-682	arith-682	ADP
ejpam-6228	380	39	metic	metic	NOUN
ejpam-6228	380	40	.	.	PUNCT
ejpam-6228	381	1	therefore	therefore	ADV
ejpam-6228	381	2	,	,	PUNCT
ejpam-6228	381	3	these	these	DET
ejpam-6228	381	4	processes	process	NOUN
ejpam-6228	381	5	make	make	VERB
ejpam-6228	381	6	the	the	DET
ejpam-6228	381	7	pixel	pixel	PROPN
ejpam-6228	381	8	intensity	intensity	NOUN
ejpam-6228	381	9	values	value	NOUN
ejpam-6228	381	10	of	of	ADP
ejpam-6228	381	11	the	the	DET
ejpam-6228	381	12	encrypted	encrypt	VERB
ejpam-6228	381	13	image683	image683	PROPN
ejpam-6228	381	14	distributed	distribute	VERB
ejpam-6228	381	15	as	as	ADV
ejpam-6228	381	16	randomly	randomly	ADV
ejpam-6228	381	17	as	as	ADP
ejpam-6228	381	18	possible	possible	ADJ
ejpam-6228	381	19	,	,	PUNCT
ejpam-6228	381	20	without	without	ADP
ejpam-6228	381	21	having	have	VERB
ejpam-6228	381	22	any	any	DET
ejpam-6228	381	23	inherent	inherent	ADJ
ejpam-6228	381	24	patterns	pattern	NOUN
ejpam-6228	381	25	of	of	ADP
ejpam-6228	381	26	the	the	DET
ejpam-6228	381	27	original684	original684	PROPN
ejpam-6228	381	28	image	image	NOUN
ejpam-6228	381	29	.	.	PUNCT
ejpam-6228	382	1	a	a	DET
ejpam-6228	382	2	large	large	ADJ
ejpam-6228	382	3	entropy	entropy	NOUN
ejpam-6228	382	4	value	value	NOUN
ejpam-6228	382	5	indicates	indicate	VERB
ejpam-6228	382	6	that	that	SCONJ
ejpam-6228	382	7	the	the	DET
ejpam-6228	382	8	image	image	NOUN
ejpam-6228	382	9	content	content	NOUN
ejpam-6228	382	10	is	be	AUX
ejpam-6228	382	11	well	well	ADV
ejpam-6228	382	12	obfuscated	obfuscate	VERB
ejpam-6228	382	13	by	by	ADP
ejpam-6228	382	14	the685	the685	NOUN
ejpam-6228	382	15	encryption	encryption	NOUN
ejpam-6228	382	16	method	method	NOUN
ejpam-6228	382	17	,	,	PUNCT
ejpam-6228	382	18	and	and	CCONJ
ejpam-6228	382	19	he	he	PRON
ejpam-6228	382	20	or	or	CCONJ
ejpam-6228	382	21	she	she	PRON
ejpam-6228	382	22	is	be	AUX
ejpam-6228	382	23	highly	highly	ADV
ejpam-6228	382	24	resistant	resistant	ADJ
ejpam-6228	382	25	to	to	ADP
ejpam-6228	382	26	statistical	statistical	ADJ
ejpam-6228	382	27	attack	attack	NOUN
ejpam-6228	382	28	,	,	PUNCT
ejpam-6228	382	29	information686	information686	PROPN
ejpam-6228	382	30	leakage	leakage	NOUN
ejpam-6228	382	31	and	and	CCONJ
ejpam-6228	382	32	cryptanalysis	cryptanalysis	NOUN
ejpam-6228	382	33	.	.	PUNCT
ejpam-6228	383	1	the	the	DET
ejpam-6228	383	2	entropy	entropy	NOUN
ejpam-6228	383	3	of	of	ADP
ejpam-6228	383	4	the	the	DET
ejpam-6228	383	5	image	image	NOUN
ejpam-6228	383	6	if	if	SCONJ
ejpam-6228	383	7	considerably	considerably	ADV
ejpam-6228	383	8	lower	low	ADJ
ejpam-6228	383	9	than	than	ADP
ejpam-6228	383	10	8	8	NUM
ejpam-6228	383	11	implies687	implies687	PROPN
ejpam-6228	383	12	that	that	SCONJ
ejpam-6228	383	13	the	the	DET
ejpam-6228	383	14	image	image	NOUN
ejpam-6228	383	15	carries	carry	VERB
ejpam-6228	383	16	redundant	redundant	ADJ
ejpam-6228	383	17	information	information	NOUN
ejpam-6228	383	18	which	which	PRON
ejpam-6228	383	19	could	could	AUX
ejpam-6228	383	20	be	be	AUX
ejpam-6228	383	21	used	use	VERB
ejpam-6228	383	22	by	by	ADP
ejpam-6228	383	23	the	the	DET
ejpam-6228	383	24	attackers	attacker	NOUN
ejpam-6228	383	25	to	to	ADP
ejpam-6228	383	26	de-688	de-688	PROPN
ejpam-6228	383	27	duce	duce	NOUN
ejpam-6228	383	28	the	the	DET
ejpam-6228	383	29	original	original	ADJ
ejpam-6228	383	30	image	image	NOUN
ejpam-6228	383	31	.	.	PUNCT
ejpam-6228	384	1	the	the	DET
ejpam-6228	384	2	quaternion	quaternion	NOUN
ejpam-6228	384	3	-	-	PUNCT
ejpam-6228	384	4	based	base	VERB
ejpam-6228	384	5	encryption	encryption	NOUN
ejpam-6228	384	6	achieves	achieve	VERB
ejpam-6228	384	7	entropy	entropy	PROPN
ejpam-6228	384	8	values	value	NOUN
ejpam-6228	384	9	close	close	ADJ
ejpam-6228	384	10	to689	to689	PROPN
ejpam-6228	384	11	the	the	DET
ejpam-6228	384	12	theoretical	theoretical	ADJ
ejpam-6228	384	13	maximum	maximum	NOUN
ejpam-6228	384	14	,	,	PUNCT
ejpam-6228	384	15	thereby	thereby	ADV
ejpam-6228	384	16	securing	secure	VERB
ejpam-6228	384	17	the	the	DET
ejpam-6228	384	18	encrypted	encrypt	VERB
ejpam-6228	384	19	multiple	multiple	ADJ
ejpam-6228	384	20	rgb	rgb	PROPN
ejpam-6228	384	21	images	image	NOUN
ejpam-6228	384	22	by	by	ADP
ejpam-6228	384	23	creat-690	creat-690	ADJ
ejpam-6228	384	24	ing	e	VERB
ejpam-6228	384	25	the	the	DET
ejpam-6228	384	26	maximum	maximum	ADJ
ejpam-6228	384	27	randomness	randomness	NOUN
ejpam-6228	384	28	for	for	ADP
ejpam-6228	384	29	transmission	transmission	NOUN
ejpam-6228	384	30	and	and	CCONJ
ejpam-6228	384	31	storage	storage	NOUN
ejpam-6228	384	32	in	in	ADP
ejpam-6228	384	33	cryptographic	cryptographic	ADJ
ejpam-6228	384	34	applications691	applications691	PROPN
ejpam-6228	385	1	[	[	X
ejpam-6228	385	2	5	5	NUM
ejpam-6228	385	3	,	,	PUNCT
ejpam-6228	385	4	16	16	NUM
ejpam-6228	385	5	,	,	PUNCT
ejpam-6228	385	6	35	35	NUM
ejpam-6228	385	7	]	]	PUNCT
ejpam-6228	385	8	.	.	PUNCT
ejpam-6228	386	1	a	a	DET
ejpam-6228	386	2	comparison	comparison	NOUN
ejpam-6228	386	3	of	of	ADP
ejpam-6228	386	4	the	the	DET
ejpam-6228	386	5	proposed	propose	VERB
ejpam-6228	386	6	work	work	NOUN
ejpam-6228	386	7	’s	’s	PART
ejpam-6228	386	8	entropy	entropy	PROPN
ejpam-6228	386	9	evaluation	evaluation	NOUN
ejpam-6228	386	10	is	be	AUX
ejpam-6228	386	11	made	make	VERB
ejpam-6228	386	12	to	to	ADP
ejpam-6228	386	13	the	the	DET
ejpam-6228	386	14	existing692	existing692	PROPN
ejpam-6228	386	15	research	research	NOUN
ejpam-6228	386	16	noted	note	VERB
ejpam-6228	386	17	in	in	ADP
ejpam-6228	386	18	table	table	NOUN
ejpam-6228	386	19	19.693	19.693	NUM
ejpam-6228	386	20	table	table	NOUN
ejpam-6228	386	21	19	19	NUM
ejpam-6228	386	22	:	:	PUNCT
ejpam-6228	386	23	information	information	NOUN
ejpam-6228	386	24	entropy	entropy	AUX
ejpam-6228	386	25	comparison	comparison	PROPN
ejpam-6228	386	26	information	information	NOUN
ejpam-6228	386	27	entropy	entropy	NOUN
ejpam-6228	386	28	images	image	VERB
ejpam-6228	386	29	red	red	ADJ
ejpam-6228	386	30	green	green	ADJ
ejpam-6228	386	31	blue	blue	ADJ
ejpam-6228	386	32	average	average	ADJ
ejpam-6228	386	33	image	image	NOUN
ejpam-6228	386	34	i1	i1	PROPN
ejpam-6228	386	35	7.9992	7.9992	NUM
ejpam-6228	386	36	7.9994	7.9994	NUM
ejpam-6228	386	37	7.9993	7.9993	NUM
ejpam-6228	386	38	7.9993	7.9993	NUM
ejpam-6228	386	39	image	image	NOUN
ejpam-6228	386	40	i2	i2	NOUN
ejpam-6228	386	41	7.9993	7.9993	NUM
ejpam-6228	386	42	7.9994	7.9994	NUM
ejpam-6228	386	43	7.9992	7.9992	NUM
ejpam-6228	386	44	7.9993	7.9993	NUM
ejpam-6228	387	1	[	[	X
ejpam-6228	387	2	16	16	NUM
ejpam-6228	387	3	]	]	PUNCT
ejpam-6228	387	4	7.9913	7.9913	NUM
ejpam-6228	387	5	7.9914	7.9914	NUM
ejpam-6228	387	6	7.9916	7.9916	NUM
ejpam-6228	387	7	7.9916	7.9916	NUM
ejpam-6228	387	8	[	[	SYM
ejpam-6228	387	9	35	35	NUM
ejpam-6228	387	10	]	]	SYM
ejpam-6228	387	11	7.9888	7.9888	NUM
ejpam-6228	387	12	7.9896	7.9896	NUM
ejpam-6228	387	13	7.9890	7.9890	NUM
ejpam-6228	387	14	7.9892	7.9892	NUM
ejpam-6228	387	15	[	[	X
ejpam-6228	387	16	21	21	NUM
ejpam-6228	387	17	]	]	PUNCT
ejpam-6228	387	18	7.9995	7.9995	NUM
ejpam-6228	388	1	7.9995	7.9995	NUM
ejpam-6228	388	2	7.9994	7.9994	NUM
ejpam-6228	388	3	7.9995	7.9995	NUM
ejpam-6228	388	4	[	[	X
ejpam-6228	388	5	5	5	NUM
ejpam-6228	388	6	]	]	SYM
ejpam-6228	388	7	7.9976	7.9976	NUM
ejpam-6228	388	8	7.9967	7.9967	NUM
ejpam-6228	388	9	7.9976	7.9976	NUM
ejpam-6228	388	10	7.9987	7.9987	NUM
ejpam-6228	388	11	m.	m.	NOUN
ejpam-6228	388	12	sajjad	sajjad	PROPN
ejpam-6228	388	13	,	,	PUNCT
ejpam-6228	388	14	n.	n.	PROPN
ejpam-6228	388	15	a.	a.	NOUN
ejpam-6228	388	16	alqwaifly	alqwaifly	PROPN
ejpam-6228	388	17	/	/	SYM
ejpam-6228	388	18	eur	eur	PROPN
ejpam-6228	388	19	.	.	PUNCT
ejpam-6228	389	1	j.	j.	PROPN
ejpam-6228	389	2	pure	pure	PROPN
ejpam-6228	389	3	appl	appl	PROPN
ejpam-6228	389	4	.	.	PROPN
ejpam-6228	389	5	math	math	PROPN
ejpam-6228	389	6	,	,	PUNCT
ejpam-6228	389	7	18	18	NUM
ejpam-6228	389	8	(	(	PUNCT
ejpam-6228	389	9	2	2	NUM
ejpam-6228	389	10	)	)	PUNCT
ejpam-6228	389	11	(	(	PUNCT
ejpam-6228	389	12	2025	2025	NUM
ejpam-6228	389	13	)	)	PUNCT
ejpam-6228	389	14	,	,	PUNCT
ejpam-6228	389	15	6228	6228	NUM
ejpam-6228	389	16	27	27	NUM
ejpam-6228	389	17	of	of	ADP
ejpam-6228	389	18	35	35	NUM
ejpam-6228	389	19	6.8	6.8	NUM
ejpam-6228	389	20	.	.	PUNCT
ejpam-6228	390	1	mse694	mse694	PROPN
ejpam-6228	390	2	mean	mean	VERB
ejpam-6228	390	3	squared	square	VERB
ejpam-6228	390	4	error	error	NOUN
ejpam-6228	390	5	(	(	PUNCT
ejpam-6228	390	6	mse	mse	NOUN
ejpam-6228	390	7	)	)	PUNCT
ejpam-6228	390	8	is	be	AUX
ejpam-6228	390	9	employed	employ	VERB
ejpam-6228	390	10	to	to	PART
ejpam-6228	390	11	compare	compare	VERB
ejpam-6228	390	12	the	the	DET
ejpam-6228	390	13	original	original	ADJ
ejpam-6228	390	14	encrypted	encrypt	VERB
ejpam-6228	390	15	images	image	NOUN
ejpam-6228	390	16	in695	in695	PROPN
ejpam-6228	390	17	multiple	multiple	ADJ
ejpam-6228	390	18	rgb	rgb	PROPN
ejpam-6228	390	19	image	image	NOUN
ejpam-6228	390	20	encryption	encryption	NOUN
ejpam-6228	390	21	over	over	ADP
ejpam-6228	390	22	quaternion	quaternion	NOUN
ejpam-6228	390	23	integers	integer	NOUN
ejpam-6228	390	24	.	.	PUNCT
ejpam-6228	391	1	the	the	DET
ejpam-6228	391	2	mse	mse	PROPN
ejpam-6228	391	3	quantifies	quantifie	NOUN
ejpam-6228	391	4	the	the	DET
ejpam-6228	391	5	average696	average696	PROPN
ejpam-6228	391	6	squared	square	VERB
ejpam-6228	391	7	differences	difference	NOUN
ejpam-6228	391	8	between	between	ADP
ejpam-6228	391	9	the	the	DET
ejpam-6228	391	10	corresponding	corresponding	ADJ
ejpam-6228	391	11	pixel	pixel	PROPN
ejpam-6228	391	12	intensities	intensity	NOUN
ejpam-6228	391	13	,	,	PUNCT
ejpam-6228	391	14	and	and	CCONJ
ejpam-6228	391	15	the	the	DET
ejpam-6228	391	16	higher	high	ADJ
ejpam-6228	391	17	values	value	NOUN
ejpam-6228	391	18	of697	of697	PROPN
ejpam-6228	391	19	mse	mse	PROPN
ejpam-6228	391	20	mean	mean	VERB
ejpam-6228	391	21	that	that	SCONJ
ejpam-6228	391	22	stronger	strong	ADJ
ejpam-6228	391	23	encryption	encryption	NOUN
ejpam-6228	391	24	is	be	AUX
ejpam-6228	391	25	achieved	achieve	VERB
ejpam-6228	391	26	through	through	ADP
ejpam-6228	391	27	ensuring	ensure	VERB
ejpam-6228	391	28	a	a	DET
ejpam-6228	391	29	significant	significant	ADJ
ejpam-6228	391	30	deviation698	deviation698	PROPN
ejpam-6228	391	31	from	from	ADP
ejpam-6228	391	32	the	the	DET
ejpam-6228	391	33	original	original	ADJ
ejpam-6228	391	34	image	image	NOUN
ejpam-6228	391	35	.	.	PUNCT
ejpam-6228	392	1	in	in	ADP
ejpam-6228	392	2	a	a	DET
ejpam-6228	392	3	quaternion	quaternion	NOUN
ejpam-6228	392	4	-	-	PUNCT
ejpam-6228	392	5	based	base	VERB
ejpam-6228	392	6	encryption	encryption	NOUN
ejpam-6228	392	7	,	,	PUNCT
ejpam-6228	392	8	i.e.	i.e.	X
ejpam-6228	392	9	,	,	PUNCT
ejpam-6228	392	10	transforming	transform	VERB
ejpam-6228	392	11	images	image	NOUN
ejpam-6228	392	12	to699	to699	VERB
ejpam-6228	392	13	quaternion	quaternion	ADJ
ejpam-6228	392	14	space	space	NOUN
ejpam-6228	392	15	to	to	PART
ejpam-6228	392	16	allow	allow	VERB
ejpam-6228	392	17	scalar	scalar	ADJ
ejpam-6228	392	18	and	and	CCONJ
ejpam-6228	392	19	vector	vector	NOUN
ejpam-6228	392	20	components	component	NOUN
ejpam-6228	392	21	of	of	ADP
ejpam-6228	392	22	each	each	DET
ejpam-6228	392	23	pixel	pixel	NOUN
ejpam-6228	392	24	to	to	PART
ejpam-6228	392	25	be	be	AUX
ejpam-6228	392	26	independently700	independently700	PROPN
ejpam-6228	392	27	processed	process	VERB
ejpam-6228	392	28	by	by	ADP
ejpam-6228	392	29	substitution	substitution	NOUN
ejpam-6228	392	30	,	,	PUNCT
ejpam-6228	392	31	permutation	permutation	NOUN
ejpam-6228	392	32	,	,	PUNCT
ejpam-6228	392	33	and	and	CCONJ
ejpam-6228	392	34	quaternion	quaternion	NOUN
ejpam-6228	392	35	multiplication	multiplication	NOUN
ejpam-6228	392	36	operations	operation	NOUN
ejpam-6228	392	37	,	,	PUNCT
ejpam-6228	392	38	in	in	ADP
ejpam-6228	392	39	the701	the701	PROPN
ejpam-6228	392	40	quaternion	quaternion	NOUN
ejpam-6228	392	41	-	-	PUNCT
ejpam-6228	392	42	based	base	VERB
ejpam-6228	392	43	encryption	encryption	NOUN
ejpam-6228	392	44	process	process	NOUN
ejpam-6228	392	45	,	,	PUNCT
ejpam-6228	392	46	the	the	DET
ejpam-6228	392	47	pixel	pixel	PROPN
ejpam-6228	392	48	intensity	intensity	NOUN
ejpam-6228	392	49	variation	variation	NOUN
ejpam-6228	392	50	is	be	AUX
ejpam-6228	392	51	maximized	maximize	VERB
ejpam-6228	392	52	.	.	PUNCT
ejpam-6228	393	1	for	for	ADP
ejpam-6228	393	2	a	a	DET
ejpam-6228	393	3	well-702	well-702	ADJ
ejpam-6228	393	4	designed	design	VERB
ejpam-6228	393	5	encryption	encryption	NOUN
ejpam-6228	393	6	scheme	scheme	NOUN
ejpam-6228	393	7	,	,	PUNCT
ejpam-6228	393	8	the	the	DET
ejpam-6228	393	9	mse	mse	NOUN
ejpam-6228	393	10	measures	measure	NOUN
ejpam-6228	393	11	should	should	AUX
ejpam-6228	393	12	be	be	AUX
ejpam-6228	393	13	high	high	ADJ
ejpam-6228	393	14	such	such	ADJ
ejpam-6228	393	15	that	that	SCONJ
ejpam-6228	393	16	the	the	DET
ejpam-6228	393	17	encrypted703	encrypted703	PROPN
ejpam-6228	393	18	image	image	NOUN
ejpam-6228	393	19	has	have	VERB
ejpam-6228	393	20	no	no	DET
ejpam-6228	393	21	similarity	similarity	NOUN
ejpam-6228	393	22	to	to	ADP
ejpam-6228	393	23	the	the	DET
ejpam-6228	393	24	original	original	ADJ
ejpam-6228	393	25	one	one	NOUN
ejpam-6228	393	26	,	,	PUNCT
ejpam-6228	393	27	which	which	PRON
ejpam-6228	393	28	makes	make	VERB
ejpam-6228	393	29	the	the	DET
ejpam-6228	393	30	image	image	NOUN
ejpam-6228	393	31	resistant	resistant	ADJ
ejpam-6228	393	32	to	to	ADP
ejpam-6228	393	33	visual704	visual704	NOUN
ejpam-6228	393	34	attacks	attack	NOUN
ejpam-6228	393	35	as	as	ADV
ejpam-6228	393	36	well	well	ADV
ejpam-6228	393	37	as	as	ADP
ejpam-6228	393	38	statistical	statistical	ADJ
ejpam-6228	393	39	analysis	analysis	NOUN
ejpam-6228	393	40	.	.	PUNCT
ejpam-6228	394	1	on	on	ADP
ejpam-6228	394	2	the	the	DET
ejpam-6228	394	3	one	one	NUM
ejpam-6228	394	4	hand	hand	NOUN
ejpam-6228	394	5	,	,	PUNCT
ejpam-6228	394	6	quaternion	quaternion	NOUN
ejpam-6228	394	7	-	-	PUNCT
ejpam-6228	394	8	based	base	VERB
ejpam-6228	394	9	encryption	encryption	NOUN
ejpam-6228	394	10	with705	with705	VERB
ejpam-6228	394	11	large	large	ADJ
ejpam-6228	394	12	mse	mse	NOUN
ejpam-6228	394	13	values	value	NOUN
ejpam-6228	394	14	both	both	PRON
ejpam-6228	394	15	guarantees	guarantee	VERB
ejpam-6228	394	16	good	good	ADJ
ejpam-6228	394	17	diffusion	diffusion	NOUN
ejpam-6228	394	18	and	and	CCONJ
ejpam-6228	394	19	confusion	confusion	NOUN
ejpam-6228	394	20	so	so	SCONJ
ejpam-6228	394	21	as	as	SCONJ
ejpam-6228	394	22	to	to	PART
ejpam-6228	394	23	avoid	avoid	VERB
ejpam-6228	394	24	attackers706	attackers706	ADP
ejpam-6228	394	25	obtaining	obtain	VERB
ejpam-6228	394	26	any	any	DET
ejpam-6228	394	27	meaningful	meaningful	ADJ
ejpam-6228	394	28	pattern	pattern	NOUN
ejpam-6228	394	29	or	or	CCONJ
ejpam-6228	394	30	reconstructing	reconstruct	VERB
ejpam-6228	394	31	the	the	DET
ejpam-6228	394	32	original	original	ADJ
ejpam-6228	394	33	image	image	NOUN
ejpam-6228	394	34	[	[	X
ejpam-6228	394	35	34	34	NUM
ejpam-6228	394	36	]	]	PUNCT
ejpam-6228	394	37	.	.	PUNCT
ejpam-6228	395	1	the	the	DET
ejpam-6228	395	2	data707	data707	PROPN
ejpam-6228	395	3	collected	collect	VERB
ejpam-6228	395	4	mse	mse	NOUN
ejpam-6228	395	5	are	be	AUX
ejpam-6228	395	6	given	give	VERB
ejpam-6228	395	7	in	in	ADP
ejpam-6228	395	8	table	table	NOUN
ejpam-6228	395	9	20.708	20.708	NUM
ejpam-6228	395	10	6.9	6.9	NUM
ejpam-6228	395	11	.	.	PUNCT
ejpam-6228	396	1	psnr709	psnr709	PROPN
ejpam-6228	396	2	the	the	DET
ejpam-6228	396	3	peak	peak	NOUN
ejpam-6228	396	4	signal	signal	NOUN
ejpam-6228	396	5	to	to	PART
ejpam-6228	396	6	noise	noise	VERB
ejpam-6228	396	7	ratio	ratio	NOUN
ejpam-6228	396	8	(	(	PUNCT
ejpam-6228	396	9	psnr	psnr	NOUN
ejpam-6228	396	10	)	)	PUNCT
ejpam-6228	396	11	is	be	AUX
ejpam-6228	396	12	an	an	DET
ejpam-6228	396	13	important	important	ADJ
ejpam-6228	396	14	metric	metric	NOUN
ejpam-6228	396	15	to	to	PART
ejpam-6228	396	16	evaluate	evaluate	VERB
ejpam-6228	396	17	the	the	DET
ejpam-6228	396	18	qual-710	qual-710	ADJ
ejpam-6228	396	19	ity	ity	NOUN
ejpam-6228	396	20	degradation	degradation	NOUN
ejpam-6228	396	21	between	between	ADP
ejpam-6228	396	22	the	the	DET
ejpam-6228	396	23	original	original	ADJ
ejpam-6228	396	24	encrypted	encrypt	VERB
ejpam-6228	396	25	images	image	NOUN
ejpam-6228	396	26	in	in	ADP
ejpam-6228	396	27	many	many	ADJ
ejpam-6228	396	28	rgb	rgb	PROPN
ejpam-6228	396	29	image	image	NOUN
ejpam-6228	396	30	encryptions711	encryptions711	PROPN
ejpam-6228	396	31	over	over	ADP
ejpam-6228	396	32	quaternion	quaternion	NOUN
ejpam-6228	396	33	integers	integer	NOUN
ejpam-6228	396	34	.	.	PUNCT
ejpam-6228	397	1	psnr	psnr	NOUN
ejpam-6228	397	2	inversely	inversely	ADV
ejpam-6228	397	3	relates	relate	VERB
ejpam-6228	397	4	to	to	ADP
ejpam-6228	397	5	mse	mse	NOUN
ejpam-6228	397	6	,	,	PUNCT
ejpam-6228	397	7	and	and	CCONJ
ejpam-6228	397	8	a	a	DET
ejpam-6228	397	9	lower	low	ADJ
ejpam-6228	397	10	psnr	psnr	NOUN
ejpam-6228	397	11	means	mean	VERB
ejpam-6228	397	12	the712	the712	ADJ
ejpam-6228	397	13	encryption	encryption	NOUN
ejpam-6228	397	14	has	have	VERB
ejpam-6228	397	15	better	well	ADJ
ejpam-6228	397	16	performance	performance	NOUN
ejpam-6228	397	17	,	,	PUNCT
ejpam-6228	397	18	meaning	mean	VERB
ejpam-6228	397	19	that	that	SCONJ
ejpam-6228	397	20	the	the	DET
ejpam-6228	397	21	encrypted	encrypt	VERB
ejpam-6228	397	22	image	image	NOUN
ejpam-6228	397	23	is	be	AUX
ejpam-6228	397	24	much	much	ADJ
ejpam-6228	397	25	distorted713	distorted713	PROPN
ejpam-6228	397	26	and	and	CCONJ
ejpam-6228	397	27	ca	can	AUX
ejpam-6228	397	28	n’t	not	PART
ejpam-6228	397	29	be	be	AUX
ejpam-6228	397	30	recognized	recognize	VERB
ejpam-6228	397	31	from	from	ADP
ejpam-6228	397	32	the	the	DET
ejpam-6228	397	33	original	original	NOUN
ejpam-6228	397	34	.	.	PUNCT
ejpam-6228	398	1	since	since	SCONJ
ejpam-6228	398	2	quaternion	quaternion	NOUN
ejpam-6228	398	3	-	-	PUNCT
ejpam-6228	398	4	based	base	VERB
ejpam-6228	398	5	encryption	encryption	NOUN
ejpam-6228	398	6	is	be	AUX
ejpam-6228	398	7	an	an	DET
ejpam-6228	398	8	inde-714	inde-714	NOUN
ejpam-6228	398	9	pendent	pendent	ADJ
ejpam-6228	398	10	transformation	transformation	NOUN
ejpam-6228	398	11	of	of	ADP
ejpam-6228	398	12	the	the	DET
ejpam-6228	398	13	scalar	scalar	ADJ
ejpam-6228	398	14	and	and	CCONJ
ejpam-6228	398	15	vector	vector	NOUN
ejpam-6228	398	16	components	component	NOUN
ejpam-6228	398	17	of	of	ADP
ejpam-6228	398	18	an	an	DET
ejpam-6228	398	19	image	image	NOUN
ejpam-6228	398	20	using	use	VERB
ejpam-6228	398	21	nonlinear715	nonlinear715	PROPN
ejpam-6228	398	22	and	and	CCONJ
ejpam-6228	398	23	algebraic	algebraic	ADJ
ejpam-6228	398	24	operations	operation	NOUN
ejpam-6228	398	25	,	,	PUNCT
ejpam-6228	398	26	it	it	PRON
ejpam-6228	398	27	increases	increase	VERB
ejpam-6228	398	28	pixel	pixel	ADJ
ejpam-6228	398	29	randomness	randomness	NOUN
ejpam-6228	398	30	and	and	CCONJ
ejpam-6228	398	31	hence	hence	ADV
ejpam-6228	398	32	reduces	reduce	VERB
ejpam-6228	398	33	the	the	DET
ejpam-6228	398	34	psnr	psnr	NOUN
ejpam-6228	398	35	value716	value716	NOUN
ejpam-6228	398	36	significantly	significantly	ADV
ejpam-6228	398	37	.	.	PUNCT
ejpam-6228	399	1	the	the	DET
ejpam-6228	399	2	lower	low	ADJ
ejpam-6228	399	3	psnr	psnr	NOUN
ejpam-6228	399	4	indicates	indicate	VERB
ejpam-6228	399	5	that	that	SCONJ
ejpam-6228	399	6	the	the	DET
ejpam-6228	399	7	encrypted	encrypt	VERB
ejpam-6228	399	8	image	image	NOUN
ejpam-6228	399	9	went	go	VERB
ejpam-6228	399	10	through	through	ADP
ejpam-6228	399	11	extreme717	extreme717	PROPN
ejpam-6228	399	12	modifications	modification	NOUN
ejpam-6228	399	13	,	,	PUNCT
ejpam-6228	399	14	and	and	CCONJ
ejpam-6228	399	15	those	those	DET
ejpam-6228	399	16	kinds	kind	NOUN
ejpam-6228	399	17	of	of	ADP
ejpam-6228	399	18	modifications	modification	NOUN
ejpam-6228	399	19	would	would	AUX
ejpam-6228	399	20	be	be	AUX
ejpam-6228	399	21	beyond	beyond	ADP
ejpam-6228	399	22	the	the	DET
ejpam-6228	399	23	capability	capability	NOUN
ejpam-6228	399	24	for	for	ADP
ejpam-6228	399	25	attack-718	attack-718	ADJ
ejpam-6228	399	26	ers	er	NOUN
ejpam-6228	399	27	to	to	PART
ejpam-6228	399	28	decode	decode	VERB
ejpam-6228	399	29	the	the	DET
ejpam-6228	399	30	original	original	ADJ
ejpam-6228	399	31	image	image	NOUN
ejpam-6228	399	32	by	by	ADP
ejpam-6228	399	33	means	mean	NOUN
ejpam-6228	399	34	of	of	ADP
ejpam-6228	399	35	standard	standard	ADJ
ejpam-6228	399	36	signal	signal	NOUN
ejpam-6228	399	37	processing	processing	NOUN
ejpam-6228	399	38	.	.	PUNCT
ejpam-6228	400	1	psnr	psnr	NOUN
ejpam-6228	400	2	values	value	NOUN
ejpam-6228	400	3	are719	are719	PROPN
ejpam-6228	400	4	found	find	VERB
ejpam-6228	400	5	to	to	PART
ejpam-6228	400	6	be	be	AUX
ejpam-6228	400	7	low	low	ADJ
ejpam-6228	400	8	,	,	PUNCT
ejpam-6228	400	9	also	also	ADV
ejpam-6228	400	10	indicating	indicate	VERB
ejpam-6228	400	11	that	that	SCONJ
ejpam-6228	400	12	the	the	DET
ejpam-6228	400	13	encryption	encryption	NOUN
ejpam-6228	400	14	is	be	AUX
ejpam-6228	400	15	effective	effective	ADJ
ejpam-6228	400	16	in	in	ADP
ejpam-6228	400	17	validating	validate	VERB
ejpam-6228	400	18	the	the	DET
ejpam-6228	400	19	encryp-720	encryp-720	NOUN
ejpam-6228	400	20	tion	tion	NOUN
ejpam-6228	400	21	’s	’s	PART
ejpam-6228	400	22	robustness	robustness	NOUN
ejpam-6228	400	23	and	and	CCONJ
ejpam-6228	400	24	the	the	DET
ejpam-6228	400	25	resistance	resistance	NOUN
ejpam-6228	400	26	to	to	ADP
ejpam-6228	400	27	inverse	inverse	NOUN
ejpam-6228	400	28	attacks	attack	NOUN
ejpam-6228	400	29	[	[	X
ejpam-6228	400	30	34	34	NUM
ejpam-6228	400	31	]	]	PUNCT
ejpam-6228	400	32	.	.	PUNCT
ejpam-6228	401	1	table	table	NOUN
ejpam-6228	401	2	20	20	NUM
ejpam-6228	401	3	contains	contain	VERB
ejpam-6228	401	4	the	the	DET
ejpam-6228	401	5	collected721	collected721	PROPN
ejpam-6228	401	6	psnr	psnr	NOUN
ejpam-6228	401	7	and	and	CCONJ
ejpam-6228	401	8	mse	mse	PROPN
ejpam-6228	401	9	data.722	data.722	PROPN
ejpam-6228	401	10	table	table	NOUN
ejpam-6228	401	11	20	20	NUM
ejpam-6228	401	12	:	:	PUNCT
ejpam-6228	401	13	mse	mse	NOUN
ejpam-6228	401	14	and	and	CCONJ
ejpam-6228	401	15	psnr	psnr	NOUN
ejpam-6228	401	16	analysis	analysis	NOUN
ejpam-6228	401	17	mse	mse	NOUN
ejpam-6228	401	18	psnr	psnr	NOUN
ejpam-6228	401	19	images	image	VERB
ejpam-6228	401	20	red	red	ADJ
ejpam-6228	401	21	green	green	ADJ
ejpam-6228	401	22	blue	blue	ADJ
ejpam-6228	401	23	red	red	ADJ
ejpam-6228	401	24	green	green	PROPN
ejpam-6228	401	25	blue	blue	ADJ
ejpam-6228	401	26	image	image	PROPN
ejpam-6228	401	27	i1	i1	PROPN
ejpam-6228	401	28	original	original	ADJ
ejpam-6228	401	29	2.50	2.50	NUM
ejpam-6228	401	30	2.33	2.33	NUM
ejpam-6228	401	31	2.53	2.53	NUM
ejpam-6228	401	32	44.1849	44.1849	NUM
ejpam-6228	401	33	44.4965	44.4965	NUM
ejpam-6228	401	34	44.1297	44.1297	NUM
ejpam-6228	401	35	image	image	NOUN
ejpam-6228	401	36	i1	i1	PROPN
ejpam-6228	401	37	encrypted	encrypt	VERB
ejpam-6228	401	38	2.54	2.54	NUM
ejpam-6228	401	39	2.48	2.48	NUM
ejpam-6228	401	40	2.38	2.38	NUM
ejpam-6228	401	41	44.1080	44.1080	NUM
ejpam-6228	401	42	44.2180	44.2180	NUM
ejpam-6228	401	43	44.3952	44.3952	NUM
ejpam-6228	401	44	image	image	NOUN
ejpam-6228	401	45	i2	i2	NOUN
ejpam-6228	401	46	original	original	NOUN
ejpam-6228	401	47	2.53	2.53	NUM
ejpam-6228	401	48	2.62	2.62	NUM
ejpam-6228	401	49	2.48	2.48	NUM
ejpam-6228	401	50	44.1320	44.1320	NUM
ejpam-6228	401	51	43.9747	43.9747	NUM
ejpam-6228	401	52	44.2144	44.2144	NUM
ejpam-6228	401	53	image	image	NOUN
ejpam-6228	401	54	i2	i2	PROPN
ejpam-6228	401	55	encrypted	encrypt	VERB
ejpam-6228	401	56	2.44	2.44	NUM
ejpam-6228	401	57	2.53	2.53	NUM
ejpam-6228	401	58	2.36	2.36	NUM
ejpam-6228	401	59	44.2969	44.2969	NUM
ejpam-6228	401	60	44.1377	44.1377	NUM
ejpam-6228	401	61	44.4353	44.4353	NUM
ejpam-6228	401	62	original	original	ADJ
ejpam-6228	401	63	image	image	NOUN
ejpam-6228	401	64	[	[	X
ejpam-6228	401	65	34	34	NUM
ejpam-6228	401	66	]	]	PUNCT
ejpam-6228	401	67	2.23	2.23	NUM
ejpam-6228	401	68	2.47	2.47	NUM
ejpam-6228	401	69	2.10	2.10	NUM
ejpam-6228	401	70	44.6746	44.6746	NUM
ejpam-6228	401	71	44.2313	44.2313	NUM
ejpam-6228	401	72	44.9505	44.9505	NUM
ejpam-6228	401	73	encrypted	encrypt	VERB
ejpam-6228	401	74	image	image	NOUN
ejpam-6228	401	75	[	[	X
ejpam-6228	401	76	34	34	NUM
ejpam-6228	401	77	]	]	PUNCT
ejpam-6228	401	78	2.43	2.43	NUM
ejpam-6228	401	79	2.42	2.42	NUM
ejpam-6228	401	80	2.38	2.38	NUM
ejpam-6228	401	81	44.3020	44.3020	NUM
ejpam-6228	401	82	44.3185	44.3185	NUM
ejpam-6228	401	83	44.4057	44.4057	NUM
ejpam-6228	401	84	m.	m.	NOUN
ejpam-6228	401	85	sajjad	sajjad	PROPN
ejpam-6228	401	86	,	,	PUNCT
ejpam-6228	401	87	n.	n.	PROPN
ejpam-6228	401	88	a.	a.	NOUN
ejpam-6228	401	89	alqwaifly	alqwaifly	PROPN
ejpam-6228	401	90	/	/	SYM
ejpam-6228	401	91	eur	eur	PROPN
ejpam-6228	401	92	.	.	PUNCT
ejpam-6228	402	1	j.	j.	PROPN
ejpam-6228	402	2	pure	pure	PROPN
ejpam-6228	402	3	appl	appl	PROPN
ejpam-6228	402	4	.	.	PROPN
ejpam-6228	402	5	math	math	PROPN
ejpam-6228	402	6	,	,	PUNCT
ejpam-6228	402	7	18	18	NUM
ejpam-6228	402	8	(	(	PUNCT
ejpam-6228	402	9	2	2	NUM
ejpam-6228	402	10	)	)	PUNCT
ejpam-6228	402	11	(	(	PUNCT
ejpam-6228	402	12	2025	2025	NUM
ejpam-6228	402	13	)	)	PUNCT
ejpam-6228	402	14	,	,	PUNCT
ejpam-6228	402	15	6228	6228	NUM
ejpam-6228	402	16	28	28	NUM
ejpam-6228	402	17	of	of	ADP
ejpam-6228	402	18	35	35	NUM
ejpam-6228	402	19	6.10	6.10	NUM
ejpam-6228	402	20	.	.	PUNCT
ejpam-6228	403	1	contrast723	contrast723	PROPN
ejpam-6228	403	2	the	the	DET
ejpam-6228	403	3	parameter	parameter	NOUN
ejpam-6228	403	4	of	of	ADP
ejpam-6228	403	5	multiple	multiple	ADJ
ejpam-6228	403	6	rgb	rgb	PROPN
ejpam-6228	403	7	image	image	NOUN
ejpam-6228	403	8	encryption	encryption	NOUN
ejpam-6228	403	9	over	over	ADP
ejpam-6228	403	10	quaternion	quaternion	NOUN
ejpam-6228	403	11	integers	integer	NOUN
ejpam-6228	403	12	is	be	AUX
ejpam-6228	403	13	contrast724	contrast724	NOUN
ejpam-6228	403	14	analysis	analysis	NOUN
ejpam-6228	403	15	,	,	PUNCT
ejpam-6228	403	16	which	which	PRON
ejpam-6228	403	17	is	be	AUX
ejpam-6228	403	18	the	the	DET
ejpam-6228	403	19	difference	difference	NOUN
ejpam-6228	403	20	of	of	ADP
ejpam-6228	403	21	intensity	intensity	NOUN
ejpam-6228	403	22	between	between	ADP
ejpam-6228	403	23	two	two	NUM
ejpam-6228	403	24	adjacent	adjacent	ADJ
ejpam-6228	403	25	pixels	pixel	NOUN
ejpam-6228	403	26	.	.	PUNCT
ejpam-6228	404	1	to	to	ADP
ejpam-6228	404	2	prevent725	prevent725	PROPN
ejpam-6228	404	3	the	the	DET
ejpam-6228	404	4	encrypted	encrypt	VERB
ejpam-6228	404	5	image	image	NOUN
ejpam-6228	404	6	from	from	ADP
ejpam-6228	404	7	displaying	display	VERB
ejpam-6228	404	8	any	any	DET
ejpam-6228	404	9	identifiable	identifiable	ADJ
ejpam-6228	404	10	features	feature	NOUN
ejpam-6228	404	11	of	of	ADP
ejpam-6228	404	12	the	the	DET
ejpam-6228	404	13	plaintext	plaintext	NOUN
ejpam-6228	404	14	image	image	NOUN
ejpam-6228	404	15	,	,	PUNCT
ejpam-6228	404	16	the726	the726	PROPN
ejpam-6228	404	17	original	original	ADJ
ejpam-6228	404	18	contrast	contrast	NOUN
ejpam-6228	404	19	levels	level	NOUN
ejpam-6228	404	20	of	of	ADP
ejpam-6228	404	21	the	the	DET
ejpam-6228	404	22	plaintext	plaintext	NOUN
ejpam-6228	404	23	image	image	NOUN
ejpam-6228	404	24	should	should	AUX
ejpam-6228	404	25	be	be	AUX
ejpam-6228	404	26	disrupted	disrupt	VERB
ejpam-6228	404	27	by	by	ADP
ejpam-6228	404	28	encrypting	encrypt	VERB
ejpam-6228	404	29	them	they	PRON
ejpam-6228	405	1	in727	in727	PROPN
ejpam-6228	405	2	a	a	DET
ejpam-6228	405	3	secure	secure	ADJ
ejpam-6228	405	4	encryption	encryption	NOUN
ejpam-6228	405	5	algorithm	algorithm	NOUN
ejpam-6228	405	6	.	.	PUNCT
ejpam-6228	406	1	quaternion	quaternion	NOUN
ejpam-6228	406	2	encryption	encryption	NOUN
ejpam-6228	406	3	provides	provide	VERB
ejpam-6228	406	4	an	an	DET
ejpam-6228	406	5	additional	additional	ADJ
ejpam-6228	406	6	source	source	NOUN
ejpam-6228	406	7	of728	of728	NOUN
ejpam-6228	406	8	randomness	randomness	NOUN
ejpam-6228	406	9	and	and	CCONJ
ejpam-6228	406	10	distorts	distort	VERB
ejpam-6228	406	11	the	the	DET
ejpam-6228	406	12	contrast	contrast	NOUN
ejpam-6228	406	13	distribution	distribution	NOUN
ejpam-6228	406	14	by	by	ADP
ejpam-6228	406	15	mapping	map	VERB
ejpam-6228	406	16	rgb	rgb	PROPN
ejpam-6228	406	17	images	image	NOUN
ejpam-6228	406	18	to	to	ADP
ejpam-6228	406	19	quaternion729	quaternion729	PROPN
ejpam-6228	406	20	space	space	NOUN
ejpam-6228	406	21	and	and	CCONJ
ejpam-6228	406	22	performing	perform	VERB
ejpam-6228	406	23	independent	independent	ADJ
ejpam-6228	406	24	transformations	transformation	NOUN
ejpam-6228	406	25	of	of	ADP
ejpam-6228	406	26	the	the	DET
ejpam-6228	406	27	scalar	scalar	ADJ
ejpam-6228	406	28	and	and	CCONJ
ejpam-6228	406	29	vector	vector	NOUN
ejpam-6228	406	30	components.730	components.730	NOUN
ejpam-6228	406	31	encryption	encryption	NOUN
ejpam-6228	406	32	with	with	ADP
ejpam-6228	406	33	strong	strong	ADJ
ejpam-6228	406	34	encryption	encryption	NOUN
ejpam-6228	406	35	is	be	AUX
ejpam-6228	406	36	indicated	indicate	VERB
ejpam-6228	406	37	by	by	ADP
ejpam-6228	406	38	high	high	ADJ
ejpam-6228	406	39	intensity	intensity	NOUN
ejpam-6228	406	40	currents	current	NOUN
ejpam-6228	406	41	in	in	ADP
ejpam-6228	406	42	the	the	DET
ejpam-6228	406	43	encrypted731	encrypted731	PROPN
ejpam-6228	406	44	image	image	NOUN
ejpam-6228	406	45	by	by	ADP
ejpam-6228	406	46	eliminating	eliminate	VERB
ejpam-6228	406	47	the	the	DET
ejpam-6228	406	48	structural	structural	ADJ
ejpam-6228	406	49	consistency	consistency	NOUN
ejpam-6228	406	50	and	and	CCONJ
ejpam-6228	406	51	the	the	DET
ejpam-6228	406	52	sensitivity	sensitivity	NOUN
ejpam-6228	406	53	to	to	PART
ejpam-6228	406	54	statistical	statistical	VERB
ejpam-6228	406	55	attacks.732	attacks.732	NOUN
ejpam-6228	406	56	the	the	DET
ejpam-6228	406	57	encrypted	encrypt	VERB
ejpam-6228	406	58	images	image	NOUN
ejpam-6228	406	59	should	should	AUX
ejpam-6228	406	60	have	have	VERB
ejpam-6228	406	61	their	their	PRON
ejpam-6228	406	62	contrast	contrast	NOUN
ejpam-6228	406	63	values	value	NOUN
ejpam-6228	406	64	that	that	PRON
ejpam-6228	406	65	do	do	AUX
ejpam-6228	406	66	not	not	PART
ejpam-6228	406	67	correlate	correlate	VERB
ejpam-6228	406	68	with	with	ADP
ejpam-6228	406	69	those733	those733	PROPN
ejpam-6228	406	70	of	of	ADP
ejpam-6228	406	71	the	the	DET
ejpam-6228	406	72	original	original	ADJ
ejpam-6228	406	73	images	image	NOUN
ejpam-6228	406	74	to	to	PART
ejpam-6228	406	75	ensure	ensure	VERB
ejpam-6228	406	76	secure	secure	ADJ
ejpam-6228	406	77	image	image	NOUN
ejpam-6228	406	78	transmission	transmission	NOUN
ejpam-6228	406	79	and	and	CCONJ
ejpam-6228	406	80	storage	storage	NOUN
ejpam-6228	406	81	as	as	ADV
ejpam-6228	406	82	well	well	ADV
ejpam-6228	406	83	[	[	X
ejpam-6228	406	84	21	21	NUM
ejpam-6228	406	85	,	,	PUNCT
ejpam-6228	406	86	34].734	34].734	NUM
ejpam-6228	406	87	table	table	NOUN
ejpam-6228	406	88	21	21	NUM
ejpam-6228	406	89	presents	present	VERB
ejpam-6228	406	90	the	the	DET
ejpam-6228	406	91	result	result	NOUN
ejpam-6228	406	92	of	of	ADP
ejpam-6228	406	93	contrast	contrast	NOUN
ejpam-6228	406	94	evaluation	evaluation	NOUN
ejpam-6228	406	95	in	in	ADP
ejpam-6228	406	96	the	the	DET
ejpam-6228	406	97	proposed	propose	VERB
ejpam-6228	406	98	work.735	work.735	NOUN
ejpam-6228	406	99	6.11	6.11	NUM
ejpam-6228	406	100	.	.	PUNCT
ejpam-6228	407	1	energy736	energy736	PROPN
ejpam-6228	407	2	energy	energy	NOUN
ejpam-6228	407	3	is	be	AUX
ejpam-6228	407	4	a	a	DET
ejpam-6228	407	5	texture	texture	ADJ
ejpam-6228	407	6	analysis	analysis	NOUN
ejpam-6228	407	7	measure	measure	NOUN
ejpam-6228	407	8	to	to	PART
ejpam-6228	407	9	determine	determine	VERB
ejpam-6228	407	10	if	if	SCONJ
ejpam-6228	407	11	pixel	pixel	ADJ
ejpam-6228	407	12	intensity	intensity	NOUN
ejpam-6228	407	13	distribution	distribution	NOUN
ejpam-6228	407	14	in737	in737	VERB
ejpam-6228	407	15	the	the	DET
ejpam-6228	407	16	image	image	NOUN
ejpam-6228	407	17	is	be	AUX
ejpam-6228	407	18	one	one	NUM
ejpam-6228	407	19	of	of	ADP
ejpam-6228	407	20	repetitive	repetitive	ADJ
ejpam-6228	407	21	pattern	pattern	NOUN
ejpam-6228	407	22	(	(	PUNCT
ejpam-6228	407	23	with	with	ADP
ejpam-6228	407	24	a	a	DET
ejpam-6228	407	25	high	high	ADJ
ejpam-6228	407	26	value	value	NOUN
ejpam-6228	407	27	)	)	PUNCT
ejpam-6228	407	28	or	or	CCONJ
ejpam-6228	407	29	random	random	ADJ
ejpam-6228	407	30	(	(	PUNCT
ejpam-6228	407	31	with	with	ADP
ejpam-6228	407	32	a	a	DET
ejpam-6228	407	33	low	low	ADJ
ejpam-6228	407	34	value).738	value).738	NOUN
ejpam-6228	407	35	the	the	DET
ejpam-6228	407	36	purpose	purpose	NOUN
ejpam-6228	407	37	of	of	ADP
ejpam-6228	407	38	multiple	multiple	ADJ
ejpam-6228	407	39	rgb	rgb	PROPN
ejpam-6228	407	40	image	image	NOUN
ejpam-6228	407	41	encryption	encryption	NOUN
ejpam-6228	407	42	over	over	ADP
ejpam-6228	407	43	quaternion	quaternion	NOUN
ejpam-6228	407	44	integers	integer	NOUN
ejpam-6228	407	45	is	be	AUX
ejpam-6228	407	46	to	to	PART
ejpam-6228	407	47	obtain	obtain	VERB
ejpam-6228	407	48	an739	an739	PROPN
ejpam-6228	407	49	energy	energy	NOUN
ejpam-6228	407	50	value	value	NOUN
ejpam-6228	407	51	of	of	ADP
ejpam-6228	407	52	a	a	DET
ejpam-6228	407	53	disordered	disordered	ADJ
ejpam-6228	407	54	and	and	CCONJ
ejpam-6228	407	55	unpredictable	unpredictable	ADJ
ejpam-6228	407	56	pixel	pixel	ADJ
ejpam-6228	407	57	distribution	distribution	NOUN
ejpam-6228	407	58	.	.	PUNCT
ejpam-6228	408	1	the	the	DET
ejpam-6228	408	2	quaternion	quaternion	NOUN
ejpam-6228	408	3	based740	based740	NOUN
ejpam-6228	408	4	encryption	encryption	NOUN
ejpam-6228	408	5	is	be	AUX
ejpam-6228	408	6	built	build	VERB
ejpam-6228	408	7	upon	upon	SCONJ
ejpam-6228	408	8	substitution	substitution	NOUN
ejpam-6228	408	9	permutation	permutation	NOUN
ejpam-6228	408	10	networks	network	NOUN
ejpam-6228	408	11	(	(	PUNCT
ejpam-6228	408	12	spn	spn	PROPN
ejpam-6228	408	13	)	)	PUNCT
ejpam-6228	408	14	,	,	PUNCT
ejpam-6228	408	15	quaternion	quaternion	NOUN
ejpam-6228	408	16	multipli-741	multipli-741	ADJ
ejpam-6228	408	17	cation	cation	NOUN
ejpam-6228	408	18	and	and	CCONJ
ejpam-6228	408	19	nonlinear	nonlinear	ADJ
ejpam-6228	408	20	transformation	transformation	NOUN
ejpam-6228	408	21	mechanisms	mechanism	NOUN
ejpam-6228	408	22	to	to	PART
ejpam-6228	408	23	disrupt	disrupt	VERB
ejpam-6228	408	24	original	original	ADJ
ejpam-6228	408	25	energy	energy	NOUN
ejpam-6228	408	26	distribution742	distribution742	PROPN
ejpam-6228	408	27	such	such	ADJ
ejpam-6228	408	28	that	that	SCONJ
ejpam-6228	408	29	encrypted	encrypt	VERB
ejpam-6228	408	30	image	image	NOUN
ejpam-6228	408	31	is	be	AUX
ejpam-6228	408	32	with	with	ADP
ejpam-6228	408	33	a	a	DET
ejpam-6228	408	34	uniform	uniform	ADJ
ejpam-6228	408	35	and	and	CCONJ
ejpam-6228	408	36	random	random	ADJ
ejpam-6228	408	37	texture	texture	NOUN
ejpam-6228	408	38	.	.	PUNCT
ejpam-6228	409	1	the	the	DET
ejpam-6228	409	2	encryption	encryption	NOUN
ejpam-6228	409	3	process743	process743	PROPN
ejpam-6228	409	4	is	be	AUX
ejpam-6228	409	5	effective	effective	ADJ
ejpam-6228	409	6	if	if	SCONJ
ejpam-6228	409	7	there	there	PRON
ejpam-6228	409	8	is	be	VERB
ejpam-6228	409	9	a	a	DET
ejpam-6228	409	10	significant	significant	ADJ
ejpam-6228	409	11	deviation	deviation	NOUN
ejpam-6228	409	12	in	in	ADP
ejpam-6228	409	13	energy	energy	NOUN
ejpam-6228	409	14	values	value	NOUN
ejpam-6228	409	15	between	between	ADP
ejpam-6228	409	16	the	the	DET
ejpam-6228	409	17	original	original	ADJ
ejpam-6228	409	18	and	and	CCONJ
ejpam-6228	409	19	en-744	en-744	NOUN
ejpam-6228	409	20	crypted	crypte	VERB
ejpam-6228	409	21	images	image	NOUN
ejpam-6228	409	22	and	and	CCONJ
ejpam-6228	409	23	therefore	therefore	ADV
ejpam-6228	409	24	no	no	DET
ejpam-6228	409	25	recognizable	recognizable	ADJ
ejpam-6228	409	26	patterns	pattern	NOUN
ejpam-6228	409	27	can	can	AUX
ejpam-6228	409	28	be	be	AUX
ejpam-6228	409	29	exploited	exploit	VERB
ejpam-6228	409	30	by	by	ADP
ejpam-6228	409	31	the	the	DET
ejpam-6228	409	32	attackers.745	attackers.745	NOUN
ejpam-6228	409	33	by	by	ADP
ejpam-6228	409	34	thoroughly	thoroughly	ADV
ejpam-6228	409	35	encrypting	encrypt	VERB
ejpam-6228	409	36	an	an	DET
ejpam-6228	409	37	image	image	NOUN
ejpam-6228	409	38	,	,	PUNCT
ejpam-6228	409	39	its	its	PRON
ejpam-6228	409	40	energy	energy	NOUN
ejpam-6228	409	41	value	value	NOUN
ejpam-6228	409	42	to	to	ADP
ejpam-6228	409	43	its	its	PRON
ejpam-6228	409	44	plaintext	plaintext	NOUN
ejpam-6228	409	45	counterpart	counterpart	NOUN
ejpam-6228	409	46	should	should	AUX
ejpam-6228	409	47	be746	be746	PROPN
ejpam-6228	409	48	drastically	drastically	ADV
ejpam-6228	409	49	different	different	ADJ
ejpam-6228	409	50	,	,	PUNCT
ejpam-6228	409	51	as	as	ADP
ejpam-6228	409	52	a	a	DET
ejpam-6228	409	53	confirmation	confirmation	NOUN
ejpam-6228	409	54	that	that	SCONJ
ejpam-6228	409	55	encryption	encryption	NOUN
ejpam-6228	409	56	can	can	AUX
ejpam-6228	409	57	perform	perform	VERB
ejpam-6228	409	58	visual	visual	ADJ
ejpam-6228	409	59	data	datum	NOUN
ejpam-6228	409	60	obfuscation747	obfuscation747	PROPN
ejpam-6228	410	1	[	[	X
ejpam-6228	410	2	21	21	NUM
ejpam-6228	410	3	,	,	PUNCT
ejpam-6228	410	4	34	34	NUM
ejpam-6228	410	5	]	]	PUNCT
ejpam-6228	410	6	.	.	PUNCT
ejpam-6228	411	1	the	the	DET
ejpam-6228	411	2	presented	present	VERB
ejpam-6228	411	3	energy	energy	NOUN
ejpam-6228	411	4	data	datum	NOUN
ejpam-6228	411	5	is	be	AUX
ejpam-6228	411	6	shown	show	VERB
ejpam-6228	411	7	in	in	ADP
ejpam-6228	411	8	table	table	NOUN
ejpam-6228	411	9	21.748	21.748	NUM
ejpam-6228	411	10	table	table	NOUN
ejpam-6228	411	11	21	21	NUM
ejpam-6228	411	12	:	:	PUNCT
ejpam-6228	411	13	contrast	contrast	NOUN
ejpam-6228	411	14	and	and	CCONJ
ejpam-6228	411	15	energy	energy	NOUN
ejpam-6228	411	16	analysis	analysis	NOUN
ejpam-6228	411	17	contrast	contrast	VERB
ejpam-6228	411	18	energy	energy	NOUN
ejpam-6228	411	19	images	image	NOUN
ejpam-6228	411	20	red	red	ADJ
ejpam-6228	411	21	green	green	ADJ
ejpam-6228	411	22	blue	blue	ADJ
ejpam-6228	411	23	red	red	ADJ
ejpam-6228	411	24	green	green	PROPN
ejpam-6228	411	25	blue	blue	ADJ
ejpam-6228	411	26	image	image	PROPN
ejpam-6228	411	27	i1	i1	PROPN
ejpam-6228	411	28	original	original	VERB
ejpam-6228	411	29	0.5693	0.5693	NUM
ejpam-6228	412	1	0.6411	0.6411	NUM
ejpam-6228	412	2	0.6196	0.6196	NUM
ejpam-6228	412	3	0.0752	0.0752	NUM
ejpam-6228	412	4	0.0735	0.0735	NUM
ejpam-6228	412	5	0.0713	0.0713	NUM
ejpam-6228	412	6	image	image	NOUN
ejpam-6228	412	7	i1	i1	PROPN
ejpam-6228	412	8	encrypted	encrypt	VERB
ejpam-6228	412	9	10.5357	10.5357	NUM
ejpam-6228	412	10	10.4913	10.4913	NUM
ejpam-6228	412	11	10.4710	10.4710	NUM
ejpam-6228	412	12	0.0156	0.0156	NUM
ejpam-6228	412	13	0.0156	0.0156	NUM
ejpam-6228	412	14	0.0156	0.0156	NUM
ejpam-6228	412	15	image	image	NOUN
ejpam-6228	412	16	i2	i2	NOUN
ejpam-6228	412	17	original	original	ADJ
ejpam-6228	412	18	0.6062	0.6062	NUM
ejpam-6228	412	19	0.7930	0.7930	NUM
ejpam-6228	412	20	0.6063	0.6063	NUM
ejpam-6228	412	21	0.0828	0.0828	NUM
ejpam-6228	412	22	0.0748	0.0748	NUM
ejpam-6228	412	23	0.0906	0.0906	NUM
ejpam-6228	412	24	image	image	NOUN
ejpam-6228	412	25	i2	i2	NOUN
ejpam-6228	412	26	encrypted	encrypt	VERB
ejpam-6228	412	27	10.4667	10.4667	NUM
ejpam-6228	412	28	10.5053	10.5053	NUM
ejpam-6228	412	29	10.5311	10.5311	NUM
ejpam-6228	413	1	0.0156	0.0156	NUM
ejpam-6228	413	2	0.0156	0.0156	NUM
ejpam-6228	413	3	0.0156	0.0156	NUM
ejpam-6228	413	4	original	original	ADJ
ejpam-6228	413	5	image	image	NOUN
ejpam-6228	413	6	[	[	X
ejpam-6228	413	7	21	21	NUM
ejpam-6228	413	8	]	]	SYM
ejpam-6228	413	9	0.5439	0.5439	NUM
ejpam-6228	413	10	0.5000	0.5000	NUM
ejpam-6228	413	11	0.4726	0.4726	NUM
ejpam-6228	413	12	0.5439	0.5439	NUM
ejpam-6228	413	13	0.5000	0.5000	NUM
ejpam-6228	413	14	0.4726	0.4726	NUM
ejpam-6228	413	15	encrypted	encrypt	VERB
ejpam-6228	413	16	image	image	NOUN
ejpam-6228	413	17	[	[	X
ejpam-6228	413	18	21	21	NUM
ejpam-6228	413	19	]	]	SYM
ejpam-6228	413	20	10.5114	10.5114	NUM
ejpam-6228	413	21	10.4770	10.4770	NUM
ejpam-6228	413	22	10.4894	10.4894	NUM
ejpam-6228	413	23	10.5114	10.5114	NUM
ejpam-6228	413	24	10.4770	10.4770	NUM
ejpam-6228	413	25	10.4894	10.4894	NUM
ejpam-6228	413	26	original	original	ADJ
ejpam-6228	413	27	image	image	NOUN
ejpam-6228	413	28	[	[	X
ejpam-6228	413	29	34	34	NUM
ejpam-6228	413	30	]	]	PUNCT
ejpam-6228	413	31	0.4717	0.4717	NUM
ejpam-6228	413	32	0.4879	0.4879	NUM
ejpam-6228	413	33	0.4261	0.4261	NUM
ejpam-6228	413	34	0.0838	0.0838	NUM
ejpam-6228	413	35	0.0834	0.0834	NUM
ejpam-6228	413	36	0.1242	0.1242	NUM
ejpam-6228	413	37	encrypted	encrypt	VERB
ejpam-6228	413	38	image	image	NOUN
ejpam-6228	413	39	[	[	X
ejpam-6228	413	40	34	34	NUM
ejpam-6228	413	41	]	]	SYM
ejpam-6228	413	42	10.4878	10.4878	NUM
ejpam-6228	413	43	10.4861	10.4861	NUM
ejpam-6228	413	44	10.5034	10.5034	NUM
ejpam-6228	413	45	0.0156	0.0156	NUM
ejpam-6228	413	46	0.0156	0.0156	NUM
ejpam-6228	413	47	0.0156	0.0156	NUM
ejpam-6228	413	48	m.	m.	NOUN
ejpam-6228	413	49	sajjad	sajjad	PROPN
ejpam-6228	413	50	,	,	PUNCT
ejpam-6228	413	51	n.	n.	PROPN
ejpam-6228	413	52	a.	a.	NOUN
ejpam-6228	413	53	alqwaifly	alqwaifly	PROPN
ejpam-6228	413	54	/	/	SYM
ejpam-6228	413	55	eur	eur	PROPN
ejpam-6228	413	56	.	.	PUNCT
ejpam-6228	414	1	j.	j.	PROPN
ejpam-6228	414	2	pure	pure	PROPN
ejpam-6228	414	3	appl	appl	PROPN
ejpam-6228	414	4	.	.	PROPN
ejpam-6228	414	5	math	math	PROPN
ejpam-6228	414	6	,	,	PUNCT
ejpam-6228	414	7	18	18	NUM
ejpam-6228	414	8	(	(	PUNCT
ejpam-6228	414	9	2	2	NUM
ejpam-6228	414	10	)	)	PUNCT
ejpam-6228	414	11	(	(	PUNCT
ejpam-6228	414	12	2025	2025	NUM
ejpam-6228	414	13	)	)	PUNCT
ejpam-6228	414	14	,	,	PUNCT
ejpam-6228	414	15	6228	6228	NUM
ejpam-6228	414	16	29	29	NUM
ejpam-6228	414	17	of	of	ADP
ejpam-6228	414	18	35	35	NUM
ejpam-6228	414	19	6.12	6.12	NUM
ejpam-6228	414	20	.	.	PUNCT
ejpam-6228	415	1	statistical	statistical	ADJ
ejpam-6228	415	2	homogeneity749	homogeneity749	PROPN
ejpam-6228	415	3	statistical	statistical	ADJ
ejpam-6228	415	4	homogeneity	homogeneity	NOUN
ejpam-6228	415	5	relates	relate	VERB
ejpam-6228	415	6	to	to	ADP
ejpam-6228	415	7	the	the	DET
ejpam-6228	415	8	uniformity	uniformity	NOUN
ejpam-6228	415	9	of	of	ADP
ejpam-6228	415	10	a	a	DET
ejpam-6228	415	11	gray	gray	ADJ
ejpam-6228	415	12	image	image	NOUN
ejpam-6228	415	13	’s	’s	PART
ejpam-6228	415	14	texture	texture	NOUN
ejpam-6228	415	15	and	and	CCONJ
ejpam-6228	415	16	is	be	AUX
ejpam-6228	415	17	de-750	de-750	NOUN
ejpam-6228	415	18	termined	termine	VERB
ejpam-6228	415	19	based	base	VERB
ejpam-6228	415	20	on	on	ADP
ejpam-6228	415	21	successive	successive	ADJ
ejpam-6228	415	22	pixel	pixel	PROPN
ejpam-6228	415	23	intensities	intensity	NOUN
ejpam-6228	415	24	.	.	PUNCT
ejpam-6228	416	1	for	for	ADP
ejpam-6228	416	2	the	the	DET
ejpam-6228	416	3	scheme	scheme	NOUN
ejpam-6228	416	4	of	of	ADP
ejpam-6228	416	5	multiple	multiple	ADJ
ejpam-6228	416	6	rgb	rgb	PROPN
ejpam-6228	416	7	image	image	PROPN
ejpam-6228	416	8	en-751	en-751	PROPN
ejpam-6228	416	9	cryption	cryption	NOUN
ejpam-6228	416	10	over	over	ADP
ejpam-6228	416	11	quaternion	quaternion	NOUN
ejpam-6228	416	12	integers	integer	NOUN
ejpam-6228	416	13	,	,	PUNCT
ejpam-6228	416	14	it	it	PRON
ejpam-6228	416	15	needs	need	VERB
ejpam-6228	416	16	to	to	PART
ejpam-6228	416	17	break	break	VERB
ejpam-6228	416	18	pixel	pixel	PROPN
ejpam-6228	416	19	similarity	similarity	NOUN
ejpam-6228	416	20	so	so	SCONJ
ejpam-6228	416	21	that	that	SCONJ
ejpam-6228	416	22	the	the	DET
ejpam-6228	416	23	encrypted752	encrypted752	PROPN
ejpam-6228	416	24	image	image	NOUN
ejpam-6228	416	25	will	will	AUX
ejpam-6228	416	26	be	be	AUX
ejpam-6228	416	27	more	more	ADV
ejpam-6228	416	28	homogenous	homogenous	ADJ
ejpam-6228	416	29	.	.	PUNCT
ejpam-6228	417	1	quaternion	quaternion	NOUN
ejpam-6228	417	2	based	base	VERB
ejpam-6228	417	3	encryption	encryption	NOUN
ejpam-6228	417	4	does	do	AUX
ejpam-6228	417	5	this	this	PRON
ejpam-6228	417	6	by	by	ADP
ejpam-6228	417	7	separately753	separately753	PROPN
ejpam-6228	417	8	transforming	transform	VERB
ejpam-6228	417	9	the	the	DET
ejpam-6228	417	10	scalar	scalar	ADJ
ejpam-6228	417	11	and	and	CCONJ
ejpam-6228	417	12	vector	vector	NOUN
ejpam-6228	417	13	part	part	NOUN
ejpam-6228	417	14	of	of	ADP
ejpam-6228	417	15	each	each	DET
ejpam-6228	417	16	pixel	pixel	NOUN
ejpam-6228	417	17	by	by	ADP
ejpam-6228	417	18	modular	modular	ADJ
ejpam-6228	417	19	arithmetic	arithmetic	ADJ
ejpam-6228	417	20	,	,	PUNCT
ejpam-6228	417	21	affine	affine	VERB
ejpam-6228	417	22	trans-754	trans-754	NOUN
ejpam-6228	417	23	formation	formation	NOUN
ejpam-6228	417	24	,	,	PUNCT
ejpam-6228	417	25	and	and	CCONJ
ejpam-6228	417	26	quaternion	quaternion	NOUN
ejpam-6228	417	27	rotation	rotation	NOUN
ejpam-6228	417	28	.	.	PUNCT
ejpam-6228	418	1	these	these	DET
ejpam-6228	418	2	transformations	transformation	NOUN
ejpam-6228	418	3	also	also	ADV
ejpam-6228	418	4	bring	bring	VERB
ejpam-6228	418	5	randomness	randomness	NOUN
ejpam-6228	418	6	thus755	thus755	PRON
ejpam-6228	418	7	neighboring	neighboring	NOUN
ejpam-6228	418	8	pixels	pixel	NOUN
ejpam-6228	418	9	of	of	ADP
ejpam-6228	418	10	encrypted	encrypt	VERB
ejpam-6228	418	11	image	image	NOUN
ejpam-6228	418	12	not	not	PART
ejpam-6228	418	13	related	relate	VERB
ejpam-6228	418	14	in	in	ADP
ejpam-6228	418	15	any	any	DET
ejpam-6228	418	16	steady	steady	ADJ
ejpam-6228	418	17	way	way	NOUN
ejpam-6228	418	18	.	.	PUNCT
ejpam-6228	419	1	a	a	DET
ejpam-6228	419	2	lower	low	ADJ
ejpam-6228	419	3	homogene-756	homogene-756	ADJ
ejpam-6228	419	4	ity	ity	NOUN
ejpam-6228	419	5	value	value	NOUN
ejpam-6228	419	6	in	in	ADP
ejpam-6228	419	7	the	the	DET
ejpam-6228	419	8	encrypted	encrypt	VERB
ejpam-6228	419	9	image	image	NOUN
ejpam-6228	419	10	means	mean	VERB
ejpam-6228	419	11	the	the	DET
ejpam-6228	419	12	encryption	encryption	NOUN
ejpam-6228	419	13	algorithm	algorithm	NOUN
ejpam-6228	419	14	adversely	adversely	ADV
ejpam-6228	419	15	disturbs	disturb	VERB
ejpam-6228	419	16	the757	the757	NOUN
ejpam-6228	419	17	structural	structural	ADJ
ejpam-6228	419	18	consistency	consistency	NOUN
ejpam-6228	419	19	of	of	ADP
ejpam-6228	419	20	the	the	DET
ejpam-6228	419	21	image	image	NOUN
ejpam-6228	419	22	rendering	render	VERB
ejpam-6228	419	23	it	it	PRON
ejpam-6228	419	24	very	very	ADV
ejpam-6228	419	25	indomitable	indomitable	ADJ
ejpam-6228	419	26	to	to	PART
ejpam-6228	419	27	statistical	statistical	ADJ
ejpam-6228	419	28	as	as	ADP
ejpam-6228	419	29	well	well	ADV
ejpam-6228	419	30	as758	as758	NOUN
ejpam-6228	419	31	differential	differential	NOUN
ejpam-6228	419	32	attacks	attack	NOUN
ejpam-6228	419	33	.	.	PUNCT
ejpam-6228	420	1	the	the	DET
ejpam-6228	420	2	security	security	NOUN
ejpam-6228	420	3	of	of	ADP
ejpam-6228	420	4	quaternion	quaternion	NOUN
ejpam-6228	420	5	based	base	VERB
ejpam-6228	420	6	encryption	encryption	NOUN
ejpam-6228	420	7	is	be	AUX
ejpam-6228	420	8	enhanced	enhance	VERB
ejpam-6228	420	9	because	because	SCONJ
ejpam-6228	420	10	it759	it759	PROPN
ejpam-6228	420	11	reduces	reduce	VERB
ejpam-6228	420	12	homogeneity	homogeneity	NOUN
ejpam-6228	420	13	and	and	CCONJ
ejpam-6228	420	14	the	the	DET
ejpam-6228	420	15	encrypted	encrypt	VERB
ejpam-6228	420	16	image	image	NOUN
ejpam-6228	420	17	can	can	AUX
ejpam-6228	420	18	not	not	PART
ejpam-6228	420	19	be	be	AUX
ejpam-6228	420	20	meaningfully	meaningfully	ADV
ejpam-6228	420	21	extracted	extract	VERB
ejpam-6228	420	22	by	by	ADP
ejpam-6228	420	23	the760	the760	PROPN
ejpam-6228	420	24	attacker	attacker	NOUN
ejpam-6228	421	1	[	[	X
ejpam-6228	421	2	34	34	NUM
ejpam-6228	421	3	]	]	PUNCT
ejpam-6228	421	4	.	.	PUNCT
ejpam-6228	422	1	the	the	DET
ejpam-6228	422	2	results	result	NOUN
ejpam-6228	422	3	of	of	ADP
ejpam-6228	422	4	the	the	DET
ejpam-6228	422	5	proposed	propose	VERB
ejpam-6228	422	6	work	work	NOUN
ejpam-6228	422	7	for	for	ADP
ejpam-6228	422	8	homogeneity	homogeneity	NOUN
ejpam-6228	422	9	are	be	AUX
ejpam-6228	422	10	presented	present	VERB
ejpam-6228	422	11	in	in	ADP
ejpam-6228	422	12	table761	table761	PROPN
ejpam-6228	422	13	22.762	22.762	NUM
ejpam-6228	422	14	6.13	6.13	NUM
ejpam-6228	422	15	.	.	PUNCT
ejpam-6228	423	1	standard	standard	PROPN
ejpam-6228	423	2	deviation763	deviation763	PROPN
ejpam-6228	423	3	the	the	DET
ejpam-6228	423	4	sd	sd	NOUN
ejpam-6228	423	5	is	be	AUX
ejpam-6228	423	6	a	a	DET
ejpam-6228	423	7	necessary	necessary	ADJ
ejpam-6228	423	8	statistical	statistical	ADJ
ejpam-6228	423	9	index	index	NOUN
ejpam-6228	423	10	for	for	ADP
ejpam-6228	423	11	the	the	DET
ejpam-6228	423	12	evaluation	evaluation	NOUN
ejpam-6228	423	13	of	of	ADP
ejpam-6228	423	14	dispersion	dispersion	NOUN
ejpam-6228	423	15	of	of	ADP
ejpam-6228	423	16	pixel	pixel	PROPN
ejpam-6228	423	17	inten-764	inten-764	ADJ
ejpam-6228	423	18	sities	sitie	NOUN
ejpam-6228	423	19	in	in	ADP
ejpam-6228	423	20	multiple	multiple	ADJ
ejpam-6228	423	21	rgb	rgb	PROPN
ejpam-6228	423	22	image	image	NOUN
ejpam-6228	423	23	encryption	encryption	NOUN
ejpam-6228	423	24	over	over	ADP
ejpam-6228	423	25	quaternion	quaternion	NOUN
ejpam-6228	423	26	integers	integer	NOUN
ejpam-6228	423	27	.	.	PUNCT
ejpam-6228	424	1	the	the	PRON
ejpam-6228	424	2	greater	great	ADJ
ejpam-6228	424	3	the	the	DET
ejpam-6228	424	4	value765	value765	PROPN
ejpam-6228	424	5	of	of	ADP
ejpam-6228	424	6	an	an	DET
ejpam-6228	424	7	encrypted	encrypt	VERB
ejpam-6228	424	8	image	image	NOUN
ejpam-6228	424	9	’s	’s	PART
ejpam-6228	424	10	sd	sd	NOUN
ejpam-6228	424	11	,	,	PUNCT
ejpam-6228	424	12	the	the	PRON
ejpam-6228	424	13	broader	broad	ADJ
ejpam-6228	424	14	the	the	DET
ejpam-6228	424	15	spread	spread	NOUN
ejpam-6228	424	16	of	of	ADP
ejpam-6228	424	17	pixel	pixel	PROPN
ejpam-6228	424	18	intensities	intensity	NOUN
ejpam-6228	424	19	,	,	PUNCT
ejpam-6228	424	20	since	since	SCONJ
ejpam-6228	424	21	this	this	DET
ejpam-6228	424	22	indi-766	indi-766	NOUN
ejpam-6228	424	23	cates	cat	VERB
ejpam-6228	424	24	a	a	DET
ejpam-6228	424	25	strong	strong	ADJ
ejpam-6228	424	26	encryption	encryption	NOUN
ejpam-6228	424	27	process	process	NOUN
ejpam-6228	424	28	that	that	PRON
ejpam-6228	424	29	has	have	AUX
ejpam-6228	424	30	removed	remove	VERB
ejpam-6228	424	31	all	all	DET
ejpam-6228	424	32	patterns	pattern	NOUN
ejpam-6228	424	33	and	and	CCONJ
ejpam-6228	424	34	correlations	correlation	NOUN
ejpam-6228	424	35	present767	present767	PROPN
ejpam-6228	424	36	in	in	ADP
ejpam-6228	424	37	the	the	DET
ejpam-6228	424	38	original	original	ADJ
ejpam-6228	424	39	image	image	NOUN
ejpam-6228	424	40	.	.	PUNCT
ejpam-6228	425	1	quaternion	quaternion	NOUN
ejpam-6228	425	2	based	base	VERB
ejpam-6228	425	3	encryption	encryption	NOUN
ejpam-6228	425	4	uses	use	VERB
ejpam-6228	425	5	separate	separate	ADJ
ejpam-6228	425	6	scalar	scalar	ADJ
ejpam-6228	425	7	and	and	CCONJ
ejpam-6228	425	8	vector	vector	NOUN
ejpam-6228	425	9	com-768	com-768	VERB
ejpam-6228	425	10	ponents	ponent	NOUN
ejpam-6228	425	11	upon	upon	SCONJ
ejpam-6228	425	12	which	which	PRON
ejpam-6228	425	13	they	they	PRON
ejpam-6228	425	14	interleave	interleave	VERB
ejpam-6228	425	15	nonlinear	nonlinear	NOUN
ejpam-6228	425	16	transforms	transform	VERB
ejpam-6228	425	17	,	,	PUNCT
ejpam-6228	425	18	quaternion	quaternion	NOUN
ejpam-6228	425	19	multiplication	multiplication	NOUN
ejpam-6228	425	20	and769	and769	NOUN
ejpam-6228	425	21	permutation	permutation	NOUN
ejpam-6228	425	22	-	-	PUNCT
ejpam-6228	425	23	substitution	substitution	NOUN
ejpam-6228	425	24	networks	network	NOUN
ejpam-6228	425	25	in	in	ADP
ejpam-6228	425	26	order	order	NOUN
ejpam-6228	425	27	to	to	PART
ejpam-6228	425	28	distribute	distribute	VERB
ejpam-6228	425	29	pixel	pixel	NOUN
ejpam-6228	425	30	values	value	NOUN
ejpam-6228	425	31	uniformly	uniformly	ADV
ejpam-6228	425	32	across770	across770	VERB
ejpam-6228	425	33	color	color	NOUN
ejpam-6228	425	34	channels	channel	NOUN
ejpam-6228	425	35	.	.	PUNCT
ejpam-6228	426	1	this	this	DET
ejpam-6228	426	2	dispersion	dispersion	NOUN
ejpam-6228	426	3	is	be	AUX
ejpam-6228	426	4	required	require	VERB
ejpam-6228	426	5	for	for	ADP
ejpam-6228	426	6	achieving	achieve	VERB
ejpam-6228	426	7	a	a	DET
ejpam-6228	426	8	very	very	ADV
ejpam-6228	426	9	high	high	ADJ
ejpam-6228	426	10	randomness	randomness	NOUN
ejpam-6228	426	11	in	in	ADP
ejpam-6228	426	12	the771	the771	NOUN
ejpam-6228	426	13	encrypted	encrypt	VERB
ejpam-6228	426	14	image	image	NOUN
ejpam-6228	426	15	so	so	SCONJ
ejpam-6228	426	16	it	it	PRON
ejpam-6228	426	17	can	can	AUX
ejpam-6228	426	18	be	be	AUX
ejpam-6228	426	19	resistant	resistant	ADJ
ejpam-6228	426	20	to	to	ADP
ejpam-6228	426	21	statistical	statistical	ADJ
ejpam-6228	426	22	attacks	attack	NOUN
ejpam-6228	426	23	.	.	PUNCT
ejpam-6228	427	1	if	if	SCONJ
ejpam-6228	427	2	the	the	DET
ejpam-6228	427	3	chosen	choose	VERB
ejpam-6228	427	4	encryption772	encryption772	PROPN
ejpam-6228	427	5	process	process	NOUN
ejpam-6228	427	6	is	be	AUX
ejpam-6228	427	7	secure	secure	ADJ
ejpam-6228	427	8	,	,	PUNCT
ejpam-6228	427	9	we	we	PRON
ejpam-6228	427	10	should	should	AUX
ejpam-6228	427	11	observe	observe	VERB
ejpam-6228	427	12	a	a	DET
ejpam-6228	427	13	greatly	greatly	ADV
ejpam-6228	427	14	different	different	ADJ
ejpam-6228	427	15	sd	sd	NOUN
ejpam-6228	427	16	between	between	ADP
ejpam-6228	427	17	the	the	DET
ejpam-6228	427	18	original	original	ADJ
ejpam-6228	427	19	and	and	CCONJ
ejpam-6228	427	20	the773	the773	ADV
ejpam-6228	427	21	encrypted	encrypt	VERB
ejpam-6228	427	22	images	image	NOUN
ejpam-6228	427	23	,	,	PUNCT
ejpam-6228	427	24	which	which	PRON
ejpam-6228	427	25	ensures	ensure	VERB
ejpam-6228	427	26	that	that	SCONJ
ejpam-6228	427	27	the	the	DET
ejpam-6228	427	28	encryption	encryption	NOUN
ejpam-6228	427	29	has	have	AUX
ejpam-6228	427	30	successfully	successfully	ADV
ejpam-6228	427	31	masked	mask	VERB
ejpam-6228	427	32	the	the	DET
ejpam-6228	427	33	struc-774	struc-774	NOUN
ejpam-6228	427	34	tural	tural	ADJ
ejpam-6228	427	35	consistency	consistency	NOUN
ejpam-6228	427	36	.	.	PUNCT
ejpam-6228	428	1	through	through	ADP
ejpam-6228	428	2	a	a	DET
ejpam-6228	428	3	high	high	ADJ
ejpam-6228	428	4	sd	sd	NOUN
ejpam-6228	428	5	,	,	PUNCT
ejpam-6228	428	6	quaternion	quaternion	NOUN
ejpam-6228	428	7	based	base	VERB
ejpam-6228	428	8	encryption	encryption	NOUN
ejpam-6228	428	9	not	not	PART
ejpam-6228	428	10	only	only	ADV
ejpam-6228	428	11	increases775	increases775	VERB
ejpam-6228	428	12	security	security	NOUN
ejpam-6228	428	13	for	for	ADP
ejpam-6228	428	14	multiple	multiple	ADJ
ejpam-6228	428	15	rgb	rgb	PROPN
ejpam-6228	428	16	images	image	NOUN
ejpam-6228	428	17	,	,	PUNCT
ejpam-6228	428	18	but	but	CCONJ
ejpam-6228	428	19	prevents	prevent	VERB
ejpam-6228	428	20	these	these	DET
ejpam-6228	428	21	images	image	NOUN
ejpam-6228	428	22	from	from	ADP
ejpam-6228	428	23	being	be	AUX
ejpam-6228	428	24	decrypted	decrypt	VERB
ejpam-6228	428	25	or776	or776	NOUN
ejpam-6228	428	26	pattern	pattern	NOUN
ejpam-6228	428	27	recognized	recognize	VERB
ejpam-6228	428	28	by	by	ADP
ejpam-6228	428	29	any	any	DET
ejpam-6228	428	30	unauthorized	unauthorized	ADJ
ejpam-6228	428	31	user	user	NOUN
ejpam-6228	428	32	[	[	X
ejpam-6228	428	33	34	34	NUM
ejpam-6228	428	34	]	]	PUNCT
ejpam-6228	428	35	.	.	PUNCT
ejpam-6228	429	1	table	table	NOUN
ejpam-6228	429	2	22	22	NUM
ejpam-6228	429	3	shows	show	VERB
ejpam-6228	429	4	a	a	DET
ejpam-6228	429	5	description	description	NOUN
ejpam-6228	429	6	of	of	ADP
ejpam-6228	429	7	the	the	DET
ejpam-6228	429	8	sd777	sd777	PROPN
ejpam-6228	429	9	test	test	NOUN
ejpam-6228	429	10	results	result	NOUN
ejpam-6228	429	11	of	of	ADP
ejpam-6228	429	12	the	the	DET
ejpam-6228	429	13	proposed	propose	VERB
ejpam-6228	429	14	work.778	work.778	NOUN
ejpam-6228	429	15	table	table	NOUN
ejpam-6228	429	16	22	22	NUM
ejpam-6228	429	17	:	:	PUNCT
ejpam-6228	429	18	homogeneity	homogeneity	NOUN
ejpam-6228	429	19	and	and	CCONJ
ejpam-6228	429	20	standard	standard	ADJ
ejpam-6228	429	21	deviation	deviation	NOUN
ejpam-6228	429	22	homogeneity	homogeneity	NOUN
ejpam-6228	429	23	standard	standard	ADJ
ejpam-6228	429	24	deviation	deviation	NOUN
ejpam-6228	429	25	images	image	VERB
ejpam-6228	429	26	red	red	ADJ
ejpam-6228	429	27	green	green	ADJ
ejpam-6228	429	28	blue	blue	ADJ
ejpam-6228	429	29	red	red	ADJ
ejpam-6228	429	30	green	green	PROPN
ejpam-6228	429	31	blue	blue	ADJ
ejpam-6228	429	32	image	image	PROPN
ejpam-6228	429	33	i1	i1	PROPN
ejpam-6228	429	34	original	original	ADJ
ejpam-6228	429	35	0.8335	0.8335	NUM
ejpam-6228	429	36	0.8324	0.8324	NUM
ejpam-6228	429	37	0.8293	0.8293	NUM
ejpam-6228	429	38	57.4332	57.4332	NUM
ejpam-6228	429	39	64.5652	64.5652	NUM
ejpam-6228	429	40	65.8041	65.8041	NUM
ejpam-6228	429	41	image	image	NOUN
ejpam-6228	429	42	i1	i1	NOUN
ejpam-6228	429	43	encrypted	encrypt	VERB
ejpam-6228	429	44	0.3891	0.3891	NUM
ejpam-6228	429	45	0.3892	0.3892	NUM
ejpam-6228	429	46	0.3899	0.3899	NUM
ejpam-6228	429	47	73.8951	73.8951	NUM
ejpam-6228	429	48	73.9193	73.9193	NUM
ejpam-6228	429	49	73.9622	73.9622	NUM
ejpam-6228	429	50	image	image	NOUN
ejpam-6228	429	51	i2	i2	NOUN
ejpam-6228	429	52	original	original	NOUN
ejpam-6228	430	1	0.8384	0.8384	NUM
ejpam-6228	430	2	0.8198	0.8198	NUM
ejpam-6228	430	3	0.8499	0.8499	NUM
ejpam-6228	430	4	54.7737	54.7737	NUM
ejpam-6228	430	5	63.0304	63.0304	NUM
ejpam-6228	430	6	63.5231	63.5231	NUM
ejpam-6228	430	7	image	image	NOUN
ejpam-6228	430	8	i2	i2	NOUN
ejpam-6228	430	9	encrypted	encrypt	VERB
ejpam-6228	430	10	0.3801	0.3801	NUM
ejpam-6228	430	11	0.3897	0.3897	NUM
ejpam-6228	430	12	0.3897	0.3897	NUM
ejpam-6228	430	13	73.9140	73.9140	NUM
ejpam-6228	430	14	73.8647	73.8647	NUM
ejpam-6228	430	15	73.9488	73.9488	NUM
ejpam-6228	430	16	original	original	ADJ
ejpam-6228	430	17	image	image	NOUN
ejpam-6228	430	18	[	[	X
ejpam-6228	430	19	34	34	NUM
ejpam-6228	430	20	]	]	PUNCT
ejpam-6228	430	21	0.8855	0.8855	NUM
ejpam-6228	430	22	0.8726	0.8726	NUM
ejpam-6228	430	23	0.8855	0.8855	NUM
ejpam-6228	430	24	9.5315×103	9.5315×103	NUM
ejpam-6228	430	25	8.5820×103	8.5820×103	ADJ
ejpam-6228	430	26	1.0732×104	1.0732×104	NUM
ejpam-6228	430	27	encrypted	encrypt	VERB
ejpam-6228	430	28	image	image	NOUN
ejpam-6228	430	29	[	[	X
ejpam-6228	430	30	34	34	NUM
ejpam-6228	430	31	]	]	PUNCT
ejpam-6228	430	32	0.3892	0.3892	NUM
ejpam-6228	430	33	0.3897	0.3897	NUM
ejpam-6228	430	34	0.3889	0.3889	NUM
ejpam-6228	430	35	72.3821	72.3821	NUM
ejpam-6228	430	36	67.0023	67.0023	NUM
ejpam-6228	430	37	61.9652	61.9652	NUM
ejpam-6228	430	38	m.	m.	NOUN
ejpam-6228	430	39	sajjad	sajjad	PROPN
ejpam-6228	430	40	,	,	PUNCT
ejpam-6228	430	41	n.	n.	PROPN
ejpam-6228	430	42	a.	a.	NOUN
ejpam-6228	430	43	alqwaifly	alqwaifly	PROPN
ejpam-6228	430	44	/	/	SYM
ejpam-6228	430	45	eur	eur	PROPN
ejpam-6228	430	46	.	.	PUNCT
ejpam-6228	431	1	j.	j.	PROPN
ejpam-6228	431	2	pure	pure	PROPN
ejpam-6228	431	3	appl	appl	PROPN
ejpam-6228	431	4	.	.	PROPN
ejpam-6228	431	5	math	math	PROPN
ejpam-6228	431	6	,	,	PUNCT
ejpam-6228	431	7	18	18	NUM
ejpam-6228	431	8	(	(	PUNCT
ejpam-6228	431	9	2	2	NUM
ejpam-6228	431	10	)	)	PUNCT
ejpam-6228	431	11	(	(	PUNCT
ejpam-6228	431	12	2025	2025	NUM
ejpam-6228	431	13	)	)	PUNCT
ejpam-6228	431	14	,	,	PUNCT
ejpam-6228	431	15	6228	6228	NUM
ejpam-6228	431	16	30	30	NUM
ejpam-6228	431	17	of	of	ADP
ejpam-6228	431	18	35	35	NUM
ejpam-6228	431	19	6.14	6.14	NUM
ejpam-6228	431	20	.	.	PUNCT
ejpam-6228	432	1	nist	nist	PROPN
ejpam-6228	432	2	test779	test779	PROPN
ejpam-6228	432	3	randomness	randomness	NOUN
ejpam-6228	432	4	of	of	ADP
ejpam-6228	432	5	quaternion	quaternion	NOUN
ejpam-6228	432	6	integer	integer	NOUN
ejpam-6228	432	7	multiple	multiple	ADJ
ejpam-6228	432	8	rgb	rgb	PROPN
ejpam-6228	432	9	image	image	NOUN
ejpam-6228	432	10	encryption	encryption	NOUN
ejpam-6228	432	11	:	:	PUNCT
ejpam-6228	432	12	the	the	DET
ejpam-6228	432	13	nist	nist	PROPN
ejpam-6228	432	14	sta-780	sta-780	PROPN
ejpam-6228	432	15	tistical	tistical	ADJ
ejpam-6228	432	16	test	test	NOUN
ejpam-6228	432	17	suite	suite	NOUN
ejpam-6228	432	18	is	be	AUX
ejpam-6228	432	19	a	a	DET
ejpam-6228	432	20	standard	standard	ADJ
ejpam-6228	432	21	method	method	NOUN
ejpam-6228	432	22	for	for	ADP
ejpam-6228	432	23	testing	test	VERB
ejpam-6228	432	24	random	random	ADJ
ejpam-6228	432	25	and	and	CCONJ
ejpam-6228	432	26	security	security	NOUN
ejpam-6228	432	27	strength	strength	NOUN
ejpam-6228	432	28	of	of	ADP
ejpam-6228	432	29	the781	the781	NUM
ejpam-6228	432	30	encryption	encryption	NOUN
ejpam-6228	432	31	scheme	scheme	NOUN
ejpam-6228	432	32	,	,	PUNCT
ejpam-6228	432	33	especially	especially	ADV
ejpam-6228	432	34	for	for	ADP
ejpam-6228	432	35	the	the	DET
ejpam-6228	432	36	multiple	multiple	ADJ
ejpam-6228	432	37	rgb	rgb	PROPN
ejpam-6228	432	38	image	image	NOUN
ejpam-6228	432	39	encryption	encryption	NOUN
ejpam-6228	432	40	over	over	ADP
ejpam-6228	432	41	integers	integer	NOUN
ejpam-6228	432	42	.	.	PUNCT
ejpam-6228	433	1	this782	this782	PROPN
ejpam-6228	433	2	suite	suite	PROPN
ejpam-6228	433	3	exercises	exercise	VERB
ejpam-6228	433	4	several	several	ADJ
ejpam-6228	433	5	tests	test	NOUN
ejpam-6228	433	6	of	of	ADP
ejpam-6228	433	7	various	various	ADJ
ejpam-6228	433	8	aspects	aspect	NOUN
ejpam-6228	433	9	of	of	ADP
ejpam-6228	433	10	randomness	randomness	NOUN
ejpam-6228	433	11	to	to	PART
ejpam-6228	433	12	check	check	VERB
ejpam-6228	433	13	that	that	SCONJ
ejpam-6228	433	14	the	the	DET
ejpam-6228	433	15	encrypted783	encrypted783	PROPN
ejpam-6228	433	16	images	image	NOUN
ejpam-6228	433	17	have	have	VERB
ejpam-6228	433	18	highly	highly	ADV
ejpam-6228	433	19	unpredictable	unpredictable	ADJ
ejpam-6228	433	20	pixel	pixel	NOUN
ejpam-6228	433	21	distributions	distribution	NOUN
ejpam-6228	433	22	.	.	PUNCT
ejpam-6228	434	1	frequency	frequency	NOUN
ejpam-6228	434	2	test	test	NOUN
ejpam-6228	434	3	is	be	AUX
ejpam-6228	434	4	used	use	VERB
ejpam-6228	434	5	to	to	PART
ejpam-6228	434	6	deter-784	deter-784	NOUN
ejpam-6228	434	7	mine	mine	PRON
ejpam-6228	434	8	that	that	SCONJ
ejpam-6228	434	9	whether	whether	SCONJ
ejpam-6228	434	10	the	the	DET
ejpam-6228	434	11	amount	amount	NOUN
ejpam-6228	434	12	of	of	ADP
ejpam-6228	434	13	ones	one	NOUN
ejpam-6228	434	14	and	and	CCONJ
ejpam-6228	434	15	zeros	zero	NOUN
ejpam-6228	434	16	in	in	ADP
ejpam-6228	434	17	the	the	DET
ejpam-6228	434	18	encrypted	encrypt	VERB
ejpam-6228	434	19	image	image	NOUN
ejpam-6228	434	20	is	be	AUX
ejpam-6228	434	21	the	the	DET
ejpam-6228	434	22	same	same	ADJ
ejpam-6228	434	23	and785	and785	PROPN
ejpam-6228	434	24	therefore	therefore	ADV
ejpam-6228	434	25	the	the	DET
ejpam-6228	434	26	randomness	randomness	NOUN
ejpam-6228	434	27	is	be	AUX
ejpam-6228	434	28	uniform	uniform	ADJ
ejpam-6228	434	29	.	.	PUNCT
ejpam-6228	435	1	however	however	ADV
ejpam-6228	435	2	,	,	PUNCT
ejpam-6228	435	3	the	the	DET
ejpam-6228	435	4	block	block	NOUN
ejpam-6228	435	5	frequency	frequency	NOUN
ejpam-6228	435	6	test	test	NOUN
ejpam-6228	435	7	expands	expand	VERB
ejpam-6228	435	8	this	this	DET
ejpam-6228	435	9	idea786	idea786	PROPN
ejpam-6228	435	10	by	by	ADP
ejpam-6228	435	11	analyzing	analyze	VERB
ejpam-6228	435	12	certain	certain	ADJ
ejpam-6228	435	13	blocks	block	NOUN
ejpam-6228	435	14	in	in	ADP
ejpam-6228	435	15	the	the	DET
ejpam-6228	435	16	encrypted	encrypt	VERB
ejpam-6228	435	17	image	image	NOUN
ejpam-6228	435	18	,	,	PUNCT
ejpam-6228	435	19	ensuring	ensure	VERB
ejpam-6228	435	20	that	that	SCONJ
ejpam-6228	435	21	there	there	PRON
ejpam-6228	435	22	is	be	VERB
ejpam-6228	435	23	randomness787	randomness787	PROPN
ejpam-6228	435	24	maintained	maintain	VERB
ejpam-6228	435	25	between	between	ADP
ejpam-6228	435	26	segments	segment	NOUN
ejpam-6228	435	27	of	of	ADP
ejpam-6228	435	28	the	the	DET
ejpam-6228	435	29	encrypted	encrypt	VERB
ejpam-6228	435	30	image	image	NOUN
ejpam-6228	435	31	.	.	PUNCT
ejpam-6228	436	1	the	the	DET
ejpam-6228	436	2	rank	rank	NOUN
ejpam-6228	436	3	test	test	NOUN
ejpam-6228	436	4	ensures	ensure	VERB
ejpam-6228	436	5	that	that	SCONJ
ejpam-6228	436	6	the788	the788	NOUN
ejpam-6228	436	7	encryption	encryption	NOUN
ejpam-6228	436	8	breaks	break	VERB
ejpam-6228	436	9	down	down	ADP
ejpam-6228	436	10	structured	structured	ADJ
ejpam-6228	436	11	relationships	relationship	NOUN
ejpam-6228	436	12	of	of	ADP
ejpam-6228	436	13	values	value	NOUN
ejpam-6228	436	14	in	in	ADP
ejpam-6228	436	15	the	the	DET
ejpam-6228	436	16	image	image	NOUN
ejpam-6228	436	17	,	,	PUNCT
ejpam-6228	436	18	and	and	CCONJ
ejpam-6228	436	19	the	the	DET
ejpam-6228	436	20	linear789	linear789	PROPN
ejpam-6228	436	21	dependence	dependence	NOUN
ejpam-6228	436	22	is	be	AUX
ejpam-6228	436	23	examined	examine	VERB
ejpam-6228	436	24	between	between	ADP
ejpam-6228	436	25	pixel	pixel	PROPN
ejpam-6228	436	26	values	value	NOUN
ejpam-6228	436	27	.	.	PUNCT
ejpam-6228	437	1	the	the	DET
ejpam-6228	437	2	runs	run	NOUN
ejpam-6228	437	3	test	test	VERB
ejpam-6228	437	4	(	(	PUNCT
ejpam-6228	437	5	m=10,000	m=10,000	NOUN
ejpam-6228	437	6	)	)	PUNCT
ejpam-6228	437	7	and	and	CCONJ
ejpam-6228	437	8	long	long	ADJ
ejpam-6228	437	9	runs	run	NOUN
ejpam-6228	437	10	of790	of790	PROPN
ejpam-6228	437	11	ones	one	NOUN
ejpam-6228	437	12	test	test	NOUN
ejpam-6228	437	13	check	check	NOUN
ejpam-6228	437	14	for	for	ADP
ejpam-6228	437	15	the	the	DET
ejpam-6228	437	16	consistency	consistency	NOUN
ejpam-6228	437	17	of	of	ADP
ejpam-6228	437	18	sequences	sequence	NOUN
ejpam-6228	437	19	of	of	ADP
ejpam-6228	437	20	like	like	ADP
ejpam-6228	437	21	pixel	pixel	NOUN
ejpam-6228	437	22	values	value	NOUN
ejpam-6228	437	23	,	,	PUNCT
ejpam-6228	437	24	and	and	CCONJ
ejpam-6228	437	25	there	there	PRON
ejpam-6228	437	26	is	be	VERB
ejpam-6228	437	27	no	no	DET
ejpam-6228	437	28	resid-791	resid-791	ADJ
ejpam-6228	437	29	ual	ual	ADJ
ejpam-6228	437	30	of	of	ADP
ejpam-6228	437	31	predictable	predictable	ADJ
ejpam-6228	437	32	pattern	pattern	NOUN
ejpam-6228	437	33	.	.	PUNCT
ejpam-6228	438	1	repeated	repeat	VERB
ejpam-6228	438	2	patterns	pattern	NOUN
ejpam-6228	438	3	are	be	AUX
ejpam-6228	438	4	analyzed	analyze	VERB
ejpam-6228	438	5	in	in	ADP
ejpam-6228	438	6	the	the	DET
ejpam-6228	438	7	overlapping	overlap	VERB
ejpam-6228	438	8	templates792	templates792	PROPN
ejpam-6228	438	9	and	and	CCONJ
ejpam-6228	438	10	non	non	ADJ
ejpam-6228	438	11	-	-	ADJ
ejpam-6228	438	12	overlapping	overlapping	ADJ
ejpam-6228	438	13	templates	template	NOUN
ejpam-6228	438	14	tests	test	NOUN
ejpam-6228	438	15	,	,	PUNCT
ejpam-6228	438	16	which	which	PRON
ejpam-6228	438	17	verify	verify	VERB
ejpam-6228	438	18	that	that	SCONJ
ejpam-6228	438	19	quaternion	quaternion	NOUN
ejpam-6228	438	20	based	base	VERB
ejpam-6228	438	21	encryption	encryption	NOUN
ejpam-6228	438	22	would793	would793	PROPN
ejpam-6228	438	23	result	result	VERB
ejpam-6228	438	24	in	in	ADP
ejpam-6228	438	25	a	a	DET
ejpam-6228	438	26	large	large	ADJ
ejpam-6228	438	27	variability	variability	NOUN
ejpam-6228	438	28	over	over	ADP
ejpam-6228	438	29	the	the	DET
ejpam-6228	438	30	image	image	NOUN
ejpam-6228	438	31	.	.	PUNCT
ejpam-6228	439	1	the	the	DET
ejpam-6228	439	2	spectral	spectral	PROPN
ejpam-6228	439	3	dft	dft	PROPN
ejpam-6228	439	4	tests	test	NOUN
ejpam-6228	439	5	evaluate	evaluate	VERB
ejpam-6228	439	6	the	the	DET
ejpam-6228	439	7	encrypted794	encrypted794	PROPN
ejpam-6228	439	8	data	datum	NOUN
ejpam-6228	439	9	on	on	ADP
ejpam-6228	439	10	periodic	periodic	ADJ
ejpam-6228	439	11	structures	structure	NOUN
ejpam-6228	439	12	,	,	PUNCT
ejpam-6228	439	13	which	which	PRON
ejpam-6228	439	14	prevents	prevent	VERB
ejpam-6228	439	15	the	the	DET
ejpam-6228	439	16	frequency	frequency	NOUN
ejpam-6228	439	17	based	base	VERB
ejpam-6228	439	18	attacks	attack	NOUN
ejpam-6228	439	19	since	since	SCONJ
ejpam-6228	439	20	it	it	PRON
ejpam-6228	439	21	should	should	AUX
ejpam-6228	439	22	not795	not795	PROPN
ejpam-6228	439	23	contain	contain	VERB
ejpam-6228	439	24	the	the	DET
ejpam-6228	439	25	dominating	dominating	NOUN
ejpam-6228	439	26	spectrum	spectrum	NOUN
ejpam-6228	439	27	.	.	PUNCT
ejpam-6228	440	1	the	the	DET
ejpam-6228	440	2	complexity	complexity	NOUN
ejpam-6228	440	3	of	of	ADP
ejpam-6228	440	4	pixel	pixel	PROPN
ejpam-6228	440	5	arrangements	arrangement	NOUN
ejpam-6228	440	6	is	be	AUX
ejpam-6228	440	7	estimated	estimate	VERB
ejpam-6228	440	8	by796	by796	ADP
ejpam-6228	440	9	the	the	DET
ejpam-6228	440	10	approximate	approximate	ADJ
ejpam-6228	440	11	entropy	entropy	PROPN
ejpam-6228	440	12	test	test	NOUN
ejpam-6228	440	13	and	and	CCONJ
ejpam-6228	440	14	thus	thus	ADV
ejpam-6228	440	15	verifies	verifie	NOUN
ejpam-6228	440	16	that	that	SCONJ
ejpam-6228	440	17	the	the	DET
ejpam-6228	440	18	encrypted	encrypt	VERB
ejpam-6228	440	19	image	image	NOUN
ejpam-6228	440	20	has	have	AUX
ejpam-6228	440	21	an	an	DET
ejpam-6228	440	22	irregular797	irregular797	PROPN
ejpam-6228	440	23	unpredictable	unpredictable	ADJ
ejpam-6228	440	24	structure	structure	NOUN
ejpam-6228	440	25	.	.	PUNCT
ejpam-6228	441	1	the	the	DET
ejpam-6228	441	2	universal	universal	ADJ
ejpam-6228	441	3	test	test	NOUN
ejpam-6228	441	4	is	be	AUX
ejpam-6228	441	5	a	a	DET
ejpam-6228	441	6	test	test	NOUN
ejpam-6228	441	7	if	if	SCONJ
ejpam-6228	441	8	the	the	DET
ejpam-6228	441	9	encrypted	encrypt	VERB
ejpam-6228	441	10	image	image	NOUN
ejpam-6228	441	11	has	have	VERB
ejpam-6228	441	12	compress-798	compress-798	ADJ
ejpam-6228	441	13	ible	ible	ADJ
ejpam-6228	441	14	patterns	pattern	NOUN
ejpam-6228	441	15	with	with	ADP
ejpam-6228	441	16	high	high	ADJ
ejpam-6228	441	17	randomness	randomness	NOUN
ejpam-6228	441	18	,	,	PUNCT
ejpam-6228	441	19	and	and	CCONJ
ejpam-6228	441	20	thus	thus	ADV
ejpam-6228	441	21	is	be	AUX
ejpam-6228	441	22	resistant	resistant	ADJ
ejpam-6228	441	23	to	to	ADP
ejpam-6228	441	24	redundancy	redundancy	NOUN
ejpam-6228	441	25	-	-	PUNCT
ejpam-6228	441	26	based	base	VERB
ejpam-6228	441	27	attacks.799	attacks.799	NOUN
ejpam-6228	441	28	the	the	DET
ejpam-6228	441	29	serial	serial	ADJ
ejpam-6228	441	30	tests	test	NOUN
ejpam-6228	441	31	determine	determine	VERB
ejpam-6228	441	32	the	the	DET
ejpam-6228	441	33	independence	independence	NOUN
ejpam-6228	441	34	of	of	ADP
ejpam-6228	441	35	pixel	pixel	ADJ
ejpam-6228	441	36	transitions	transition	NOUN
ejpam-6228	441	37	,	,	PUNCT
ejpam-6228	441	38	that	that	SCONJ
ejpam-6228	441	39	pixels	pixel	NOUN
ejpam-6228	441	40	are	be	AUX
ejpam-6228	441	41	not	not	PART
ejpam-6228	441	42	next800	next800	PROPN
ejpam-6228	441	43	to	to	ADP
ejpam-6228	441	44	each	each	DET
ejpam-6228	441	45	other	other	ADJ
ejpam-6228	441	46	and	and	CCONJ
ejpam-6228	441	47	follow	follow	VERB
ejpam-6228	441	48	any	any	DET
ejpam-6228	441	49	pattern	pattern	NOUN
ejpam-6228	441	50	.	.	PUNCT
ejpam-6228	442	1	the	the	DET
ejpam-6228	442	2	cumulative	cumulative	ADJ
ejpam-6228	442	3	sum	sum	NOUN
ejpam-6228	442	4	tests	test	NOUN
ejpam-6228	442	5	(	(	PUNCT
ejpam-6228	442	6	forward	forward	ADV
ejpam-6228	442	7	and	and	CCONJ
ejpam-6228	442	8	reverse)801	reverse)801	NUM
ejpam-6228	442	9	include	include	VERB
ejpam-6228	442	10	tests	test	NOUN
ejpam-6228	442	11	that	that	PRON
ejpam-6228	442	12	verify	verify	VERB
ejpam-6228	442	13	the	the	DET
ejpam-6228	442	14	uniformity	uniformity	NOUN
ejpam-6228	442	15	of	of	ADP
ejpam-6228	442	16	pixel	pixel	ADJ
ejpam-6228	442	17	distribution	distribution	NOUN
ejpam-6228	442	18	across	across	ADP
ejpam-6228	442	19	the	the	DET
ejpam-6228	442	20	encrypted	encrypt	VERB
ejpam-6228	442	21	image802	image802	PROPN
ejpam-6228	442	22	without	without	ADP
ejpam-6228	442	23	any	any	DET
ejpam-6228	442	24	directional	directional	ADJ
ejpam-6228	442	25	biases	bias	NOUN
ejpam-6228	442	26	.	.	PUNCT
ejpam-6228	443	1	random	random	ADJ
ejpam-6228	443	2	excursions	excursion	NOUN
ejpam-6228	443	3	and	and	CCONJ
ejpam-6228	443	4	random	random	ADJ
ejpam-6228	443	5	excursions	excursion	NOUN
ejpam-6228	443	6	variants	variant	NOUN
ejpam-6228	443	7	tests803	tests803	PRON
ejpam-6228	443	8	evaluate	evaluate	VERB
ejpam-6228	443	9	the	the	DET
ejpam-6228	443	10	randomness	randomness	NOUN
ejpam-6228	443	11	of	of	ADP
ejpam-6228	443	12	the	the	DET
ejpam-6228	443	13	trajectory	trajectory	NOUN
ejpam-6228	443	14	of	of	ADP
ejpam-6228	443	15	pixel	pixel	PROPN
ejpam-6228	443	16	value	value	NOUN
ejpam-6228	443	17	sequence	sequence	NOUN
ejpam-6228	443	18	to	to	PART
ejpam-6228	443	19	ensure	ensure	VERB
ejpam-6228	443	20	that	that	SCONJ
ejpam-6228	443	21	quater-804	quater-804	NOUN
ejpam-6228	443	22	nion	nion	NOUN
ejpam-6228	443	23	based	base	VERB
ejpam-6228	443	24	encryption	encryption	NOUN
ejpam-6228	443	25	successfully	successfully	ADV
ejpam-6228	443	26	destroys	destroy	VERB
ejpam-6228	443	27	patterns	pattern	NOUN
ejpam-6228	443	28	and	and	CCONJ
ejpam-6228	443	29	continues	continue	VERB
ejpam-6228	443	30	to	to	PART
ejpam-6228	443	31	be	be	AUX
ejpam-6228	443	32	unpredictable.805	unpredictable.805	PRON
ejpam-6228	443	33	multiple	multiple	ADJ
ejpam-6228	443	34	methods	method	NOUN
ejpam-6228	443	35	of	of	ADP
ejpam-6228	443	36	rgb	rgb	PROPN
ejpam-6228	443	37	image	image	NOUN
ejpam-6228	443	38	encryption	encryption	NOUN
ejpam-6228	443	39	over	over	ADP
ejpam-6228	443	40	quaternion	quaternion	NOUN
ejpam-6228	443	41	integers	integer	NOUN
ejpam-6228	443	42	then	then	ADV
ejpam-6228	443	43	pass	pass	VERB
ejpam-6228	443	44	these	these	DET
ejpam-6228	443	45	nist806	nist806	PROPN
ejpam-6228	443	46	tests	test	NOUN
ejpam-6228	443	47	and	and	CCONJ
ejpam-6228	443	48	show	show	VERB
ejpam-6228	443	49	robustness	robustness	NOUN
ejpam-6228	443	50	to	to	ADP
ejpam-6228	443	51	securing	secure	VERB
ejpam-6228	443	52	image	image	NOUN
ejpam-6228	443	53	data	datum	NOUN
ejpam-6228	443	54	,	,	PUNCT
ejpam-6228	443	55	resisting	resist	VERB
ejpam-6228	443	56	statistical	statistical	ADJ
ejpam-6228	443	57	,	,	PUNCT
ejpam-6228	443	58	differential	differential	ADJ
ejpam-6228	443	59	and	and	CCONJ
ejpam-6228	443	60	fre-807	fre-807	CCONJ
ejpam-6228	443	61	quency	quency	PROPN
ejpam-6228	443	62	based	base	VERB
ejpam-6228	443	63	cryptanalysis	cryptanalysis	NOUN
ejpam-6228	443	64	techniques	technique	NOUN
ejpam-6228	443	65	[	[	X
ejpam-6228	443	66	34	34	NUM
ejpam-6228	443	67	,	,	PUNCT
ejpam-6228	443	68	36	36	NUM
ejpam-6228	443	69	]	]	PUNCT
ejpam-6228	443	70	.	.	PUNCT
ejpam-6228	444	1	nist	nist	NOUN
ejpam-6228	444	2	evaluates	evaluate	VERB
ejpam-6228	444	3	its	its	PRON
ejpam-6228	444	4	results	result	NOUN
ejpam-6228	444	5	through	through	ADP
ejpam-6228	444	6	table808	table808	PROPN
ejpam-6228	444	7	23.809	23.809	NUM
ejpam-6228	444	8	m.	m.	NOUN
ejpam-6228	444	9	sajjad	sajjad	PROPN
ejpam-6228	444	10	,	,	PUNCT
ejpam-6228	444	11	n.	n.	PROPN
ejpam-6228	444	12	a.	a.	NOUN
ejpam-6228	444	13	alqwaifly	alqwaifly	PROPN
ejpam-6228	444	14	/	/	SYM
ejpam-6228	444	15	eur	eur	PROPN
ejpam-6228	444	16	.	.	PUNCT
ejpam-6228	445	1	j.	j.	PROPN
ejpam-6228	445	2	pure	pure	PROPN
ejpam-6228	445	3	appl	appl	PROPN
ejpam-6228	445	4	.	.	PROPN
ejpam-6228	445	5	math	math	PROPN
ejpam-6228	445	6	,	,	PUNCT
ejpam-6228	445	7	18	18	NUM
ejpam-6228	445	8	(	(	PUNCT
ejpam-6228	445	9	2	2	NUM
ejpam-6228	445	10	)	)	PUNCT
ejpam-6228	445	11	(	(	PUNCT
ejpam-6228	445	12	2025	2025	NUM
ejpam-6228	445	13	)	)	PUNCT
ejpam-6228	445	14	,	,	PUNCT
ejpam-6228	445	15	6228	6228	NUM
ejpam-6228	445	16	31	31	NUM
ejpam-6228	445	17	of	of	ADP
ejpam-6228	445	18	35	35	NUM
ejpam-6228	445	19	table	table	NOUN
ejpam-6228	445	20	23	23	NUM
ejpam-6228	445	21	:	:	PUNCT
ejpam-6228	445	22	nist	nist	NOUN
ejpam-6228	445	23	analysis	analysis	NOUN
ejpam-6228	445	24	of	of	ADP
ejpam-6228	445	25	encrypted	encrypt	VERB
ejpam-6228	445	26	image	image	NOUN
ejpam-6228	445	27	i1	i1	PROPN
ejpam-6228	445	28	tests	test	VERB
ejpam-6228	445	29	p	p	NOUN
ejpam-6228	445	30	-	-	PUNCT
ejpam-6228	445	31	values	value	NOUN
ejpam-6228	445	32	remarks	remark	VERB
ejpam-6228	445	33	red	red	ADJ
ejpam-6228	445	34	green	green	ADJ
ejpam-6228	445	35	blue	blue	ADJ
ejpam-6228	445	36	frequency	frequency	NOUN
ejpam-6228	445	37	0.72795	0.72795	NUM
ejpam-6228	445	38	0.52709	0.52709	NUM
ejpam-6228	445	39	0.84952	0.84952	NUM
ejpam-6228	445	40	✓	✓	ADJ
ejpam-6228	445	41	block	block	NOUN
ejpam-6228	445	42	frequency	frequency	NOUN
ejpam-6228	445	43	0.8214	0.8214	NUM
ejpam-6228	445	44	0.94307	0.94307	NUM
ejpam-6228	445	45	0.64453	0.64453	NUM
ejpam-6228	445	46	✓	✓	ADJ
ejpam-6228	445	47	rank	rank	NOUN
ejpam-6228	445	48	0.29191	0.29191	NUM
ejpam-6228	445	49	0.29191	0.29191	NUM
ejpam-6228	446	1	0.29191	0.29191	NUM
ejpam-6228	446	2	✓	✓	ADJ
ejpam-6228	446	3	runs	run	NOUN
ejpam-6228	446	4	(	(	PUNCT
ejpam-6228	446	5	m=10,000	m=10,000	NOUN
ejpam-6228	446	6	)	)	PUNCT
ejpam-6228	446	7	0.29579	0.29579	NUM
ejpam-6228	446	8	0.52292	0.52292	NUM
ejpam-6228	446	9	0.020941	0.020941	NUM
ejpam-6228	446	10	✓	✓	ADJ
ejpam-6228	446	11	long	long	ADJ
ejpam-6228	446	12	runs	run	NOUN
ejpam-6228	446	13	of	of	ADP
ejpam-6228	446	14	ones	one	NOUN
ejpam-6228	446	15	0.7127	0.7127	NUM
ejpam-6228	446	16	0.7127	0.7127	NUM
ejpam-6228	446	17	0.7127	0.7127	NUM
ejpam-6228	446	18	✓	✓	ADJ
ejpam-6228	446	19	overlapping	overlap	VERB
ejpam-6228	446	20	templates	template	NOUN
ejpam-6228	446	21	0.85988	0.85988	NUM
ejpam-6228	446	22	0.85988	0.85988	NUM
ejpam-6228	446	23	0.81567	0.81567	NUM
ejpam-6228	446	24	✓	✓	ADJ
ejpam-6228	446	25	no	no	DET
ejpam-6228	446	26	overlapping	overlap	VERB
ejpam-6228	446	27	templates	template	NOUN
ejpam-6228	446	28	1	1	NUM
ejpam-6228	446	29	0.9994	0.9994	NUM
ejpam-6228	446	30	0.99981	0.99981	NUM
ejpam-6228	446	31	✓	✓	ADJ
ejpam-6228	446	32	spectral	spectral	ADJ
ejpam-6228	446	33	dft	dft	PROPN
ejpam-6228	446	34	0.14679	0.14679	NUM
ejpam-6228	446	35	0.77167	0.77167	NUM
ejpam-6228	446	36	0.11048	0.11048	NUM
ejpam-6228	446	37	✓	✓	ADJ
ejpam-6228	446	38	approximate	approximate	ADJ
ejpam-6228	446	39	entropy	entropy	NOUN
ejpam-6228	446	40	0.90625	0.90625	NUM
ejpam-6228	446	41	0.35541	0.35541	NUM
ejpam-6228	446	42	0.5992	0.5992	NUM
ejpam-6228	446	43	✓	✓	ADJ
ejpam-6228	446	44	universal	universal	ADJ
ejpam-6228	446	45	0.99668	0.99668	NUM
ejpam-6228	446	46	0.98733	0.98733	NUM
ejpam-6228	446	47	0.99844	0.99844	NUM
ejpam-6228	446	48	✓	✓	ADJ
ejpam-6228	446	49	serial	serial	ADJ
ejpam-6228	446	50	p	p	NOUN
ejpam-6228	446	51	values	value	NOUN
ejpam-6228	446	52	1	1	NUM
ejpam-6228	446	53	0.55822	0.55822	NUM
ejpam-6228	446	54	0.020917	0.020917	NUM
ejpam-6228	446	55	0.030786	0.030786	NUM
ejpam-6228	446	56	✓	✓	ADJ
ejpam-6228	446	57	serial	serial	ADJ
ejpam-6228	446	58	p	p	NOUN
ejpam-6228	446	59	values	value	NOUN
ejpam-6228	446	60	2	2	NUM
ejpam-6228	446	61	0.64206	0.64206	NUM
ejpam-6228	446	62	0.0036093	0.0036093	NUM
ejpam-6228	446	63	0.92887	0.92887	NUM
ejpam-6228	446	64	✓	✓	ADJ
ejpam-6228	446	65	cumulative	cumulative	ADJ
ejpam-6228	446	66	sums	sum	NOUN
ejpam-6228	446	67	forward	forward	ADV
ejpam-6228	446	68	0.224	0.224	NUM
ejpam-6228	446	69	0.24591	0.24591	NUM
ejpam-6228	446	70	0.24146	0.24146	NUM
ejpam-6228	446	71	✓	✓	ADJ
ejpam-6228	446	72	cumulative	cumulative	ADJ
ejpam-6228	446	73	sums	sum	NOUN
ejpam-6228	446	74	reverse	reverse	VERB
ejpam-6228	446	75	0.96051	0.96051	NUM
ejpam-6228	446	76	0.88005	0.88005	NUM
ejpam-6228	446	77	1.0587	1.0587	NUM
ejpam-6228	446	78	✓	✓	ADJ
ejpam-6228	446	79	random	random	ADJ
ejpam-6228	446	80	excursions	excursion	NOUN
ejpam-6228	446	81	x	x	PUNCT
ejpam-6228	447	1	=	=	PUNCT
ejpam-6228	447	2	-4	-4	NUM
ejpam-6228	447	3	0.15244	0.15244	NUM
ejpam-6228	447	4	0.30689	0.30689	NUM
ejpam-6228	447	5	0.13725	0.13725	NUM
ejpam-6228	447	6	✓	✓	ADJ
ejpam-6228	447	7	x	x	X
ejpam-6228	447	8	=	=	PUNCT
ejpam-6228	447	9	-3	-3	PUNCT
ejpam-6228	447	10	0.23199	0.23199	NUM
ejpam-6228	447	11	0.46172	0.46172	NUM
ejpam-6228	447	12	0.21775	0.21775	NUM
ejpam-6228	447	13	✓	✓	ADJ
ejpam-6228	447	14	x	x	PUNCT
ejpam-6228	448	1	=	=	PUNCT
ejpam-6228	448	2	-2	-2	NOUN
ejpam-6228	449	1	0.10689	0.10689	NUM
ejpam-6228	449	2	0.25688	0.25688	NUM
ejpam-6228	449	3	0.0091833	0.0091833	NUM
ejpam-6228	449	4	✓	✓	ADJ
ejpam-6228	449	5	x	x	X
ejpam-6228	449	6	=	=	SYM
ejpam-6228	449	7	-1	-1	X
ejpam-6228	449	8	0.83873	0.83873	NUM
ejpam-6228	449	9	0.71524	0.71524	NUM
ejpam-6228	449	10	0.83249	0.83249	NUM
ejpam-6228	449	11	✓	✓	ADJ
ejpam-6228	449	12	x	x	SYM
ejpam-6228	449	13	=	=	SYM
ejpam-6228	449	14	1	1	NUM
ejpam-6228	449	15	0.82206	0.82206	NUM
ejpam-6228	449	16	0.62668	0.62668	NUM
ejpam-6228	449	17	0.63515	0.63515	NUM
ejpam-6228	449	18	✓	✓	ADJ
ejpam-6228	449	19	x	x	SYM
ejpam-6228	449	20	=	=	SYM
ejpam-6228	449	21	2	2	NUM
ejpam-6228	449	22	0.052698	0.052698	NUM
ejpam-6228	449	23	0.0055571	0.0055571	NUM
ejpam-6228	449	24	0.3526	0.3526	NUM
ejpam-6228	449	25	✓	✓	ADJ
ejpam-6228	449	26	x	x	X
ejpam-6228	449	27	=	=	SYM
ejpam-6228	449	28	3	3	NUM
ejpam-6228	449	29	0.60677	0.60677	NUM
ejpam-6228	449	30	0.28872	0.28872	NUM
ejpam-6228	449	31	0.26048	0.26048	NUM
ejpam-6228	449	32	✓	✓	ADJ
ejpam-6228	449	33	x	x	SYM
ejpam-6228	449	34	=	=	SYM
ejpam-6228	449	35	4	4	NUM
ejpam-6228	449	36	0.12628	0.12628	NUM
ejpam-6228	449	37	0.2527	0.2527	NUM
ejpam-6228	449	38	0.58195	0.58195	NUM
ejpam-6228	449	39	✓	✓	ADJ
ejpam-6228	449	40	random	random	ADJ
ejpam-6228	449	41	excursions	excursion	NOUN
ejpam-6228	449	42	variants	variant	NOUN
ejpam-6228	449	43	x	x	PUNCT
ejpam-6228	449	44	=	=	PUNCT
ejpam-6228	449	45	-5	-5	NUM
ejpam-6228	449	46	0.7473	0.7473	NUM
ejpam-6228	450	1	0.89286	0.89286	NUM
ejpam-6228	450	2	0.98091	0.98091	NUM
ejpam-6228	450	3	✓	✓	ADJ
ejpam-6228	450	4	x	x	X
ejpam-6228	450	5	=	=	X
ejpam-6228	450	6	-4	-4	X
ejpam-6228	450	7	0.89103	0.89103	NUM
ejpam-6228	450	8	0.93913	0.93913	NUM
ejpam-6228	450	9	0.82814	0.82814	NUM
ejpam-6228	450	10	✓	✓	ADJ
ejpam-6228	450	11	x	x	X
ejpam-6228	450	12	=	=	PUNCT
ejpam-6228	450	13	-3	-3	PUNCT
ejpam-6228	450	14	0.95691	0.95691	NUM
ejpam-6228	450	15	0.92801	0.92801	NUM
ejpam-6228	450	16	0.46022	0.46022	NUM
ejpam-6228	450	17	✓	✓	ADJ
ejpam-6228	450	18	x	x	X
ejpam-6228	450	19	=	=	PUNCT
ejpam-6228	450	20	-2	-2	NOUN
ejpam-6228	451	1	0.91666	0.91666	NUM
ejpam-6228	451	2	0.81554	0.81554	NUM
ejpam-6228	451	3	0.40709	0.40709	NUM
ejpam-6228	451	4	✓	✓	ADJ
ejpam-6228	451	5	x	x	PUNCT
ejpam-6228	451	6	=	=	SYM
ejpam-6228	451	7	-1	-1	SYM
ejpam-6228	451	8	0.67238	0.67238	NUM
ejpam-6228	451	9	0.2665	0.2665	NUM
ejpam-6228	451	10	0.61527	0.61527	NUM
ejpam-6228	451	11	✓	✓	ADJ
ejpam-6228	451	12	x	x	SYM
ejpam-6228	451	13	=	=	SYM
ejpam-6228	451	14	1	1	NUM
ejpam-6228	451	15	0.46848	0.46848	NUM
ejpam-6228	451	16	0.68617	0.68617	NUM
ejpam-6228	451	17	0.61527	0.61527	NUM
ejpam-6228	451	18	✓	✓	ADJ
ejpam-6228	451	19	x	x	SYM
ejpam-6228	451	20	=	=	SYM
ejpam-6228	451	21	2	2	NUM
ejpam-6228	451	22	0.23567	0.23567	NUM
ejpam-6228	451	23	0.86111	0.86111	NUM
ejpam-6228	451	24	0.90103	0.90103	NUM
ejpam-6228	451	25	✓	✓	ADJ
ejpam-6228	451	26	x	x	SYM
ejpam-6228	451	27	=	=	SYM
ejpam-6228	451	28	3	3	NUM
ejpam-6228	451	29	0.19469	0.19469	NUM
ejpam-6228	451	30	0.75183	0.75183	NUM
ejpam-6228	451	31	0.74815	0.74815	NUM
ejpam-6228	451	32	✓	✓	ADJ
ejpam-6228	451	33	x	x	X
ejpam-6228	451	34	=	=	SYM
ejpam-6228	451	35	4	4	NUM
ejpam-6228	451	36	0.22621	0.22621	NUM
ejpam-6228	451	37	0.76003	0.76003	NUM
ejpam-6228	451	38	0.37052	0.37052	NUM
ejpam-6228	451	39	✓	✓	ADJ
ejpam-6228	451	40	x	x	SYM
ejpam-6228	451	41	=	=	SYM
ejpam-6228	451	42	5	5	NUM
ejpam-6228	451	43	0.28584	0.28584	NUM
ejpam-6228	451	44	0.89286	0.89286	NUM
ejpam-6228	451	45	0.48767	0.48767	NUM
ejpam-6228	451	46	✓	✓	ADJ
ejpam-6228	451	47	7	7	NUM
ejpam-6228	451	48	.	.	PUNCT
ejpam-6228	451	49	discussion	discussion	NOUN
ejpam-6228	451	50	,	,	PUNCT
ejpam-6228	451	51	conclusion	conclusion	NOUN
ejpam-6228	451	52	,	,	PUNCT
ejpam-6228	451	53	and	and	CCONJ
ejpam-6228	451	54	future	future	ADJ
ejpam-6228	451	55	work810	work810	PROPN
ejpam-6228	451	56	this	this	DET
ejpam-6228	451	57	paper	paper	NOUN
ejpam-6228	451	58	proposes	propose	VERB
ejpam-6228	451	59	a	a	DET
ejpam-6228	451	60	novel	novel	ADJ
ejpam-6228	451	61	encryption	encryption	NOUN
ejpam-6228	451	62	scheme	scheme	NOUN
ejpam-6228	451	63	for	for	ADP
ejpam-6228	451	64	different	different	ADJ
ejpam-6228	451	65	ways	way	NOUN
ejpam-6228	451	66	of	of	ADP
ejpam-6228	451	67	combining	combine	VERB
ejpam-6228	451	68	mul-811	mul-811	PROPN
ejpam-6228	451	69	tiple	tiple	PROPN
ejpam-6228	451	70	rgb	rgb	PROPN
ejpam-6228	451	71	images	image	NOUN
ejpam-6228	451	72	which	which	PRON
ejpam-6228	451	73	are	be	AUX
ejpam-6228	451	74	secured	secure	VERB
ejpam-6228	451	75	by	by	ADP
ejpam-6228	451	76	substitution	substitution	NOUN
ejpam-6228	451	77	-	-	PUNCT
ejpam-6228	451	78	permutation	permutation	NOUN
ejpam-6228	451	79	network	network	NOUN
ejpam-6228	451	80	(	(	PUNCT
ejpam-6228	451	81	spn)-based812	spn)-based812	ADJ
ejpam-6228	451	82	encryption	encryption	NOUN
ejpam-6228	451	83	scheme	scheme	NOUN
ejpam-6228	451	84	for	for	ADP
ejpam-6228	451	85	quaternion	quaternion	NOUN
ejpam-6228	451	86	integers	integer	NOUN
ejpam-6228	451	87	.	.	PUNCT
ejpam-6228	452	1	using	use	VERB
ejpam-6228	452	2	the	the	DET
ejpam-6228	452	3	mathematical	mathematical	ADJ
ejpam-6228	452	4	properties	property	NOUN
ejpam-6228	452	5	of	of	ADP
ejpam-6228	452	6	the813	the813	PROPN
ejpam-6228	452	7	quaternions	quaternion	NOUN
ejpam-6228	452	8	integers	integer	NOUN
ejpam-6228	452	9	,	,	PUNCT
ejpam-6228	452	10	specifically	specifically	ADV
ejpam-6228	452	11	their	their	PRON
ejpam-6228	452	12	four	four	NUM
ejpam-6228	452	13	dimension	dimension	NOUN
ejpam-6228	452	14	,	,	PUNCT
ejpam-6228	452	15	the	the	DET
ejpam-6228	452	16	proposed	propose	VERB
ejpam-6228	452	17	method	method	NOUN
ejpam-6228	452	18	increases	increase	VERB
ejpam-6228	452	19	the814	the814	PROPN
ejpam-6228	452	20	m.	m.	PROPN
ejpam-6228	452	21	sajjad	sajjad	PROPN
ejpam-6228	452	22	,	,	PUNCT
ejpam-6228	452	23	n.	n.	PROPN
ejpam-6228	452	24	a.	a.	NOUN
ejpam-6228	452	25	alqwaifly	alqwaifly	PROPN
ejpam-6228	452	26	/	/	SYM
ejpam-6228	452	27	eur	eur	PROPN
ejpam-6228	452	28	.	.	PUNCT
ejpam-6228	453	1	j.	j.	PROPN
ejpam-6228	453	2	pure	pure	PROPN
ejpam-6228	453	3	appl	appl	PROPN
ejpam-6228	453	4	.	.	PROPN
ejpam-6228	453	5	math	math	PROPN
ejpam-6228	453	6	,	,	PUNCT
ejpam-6228	453	7	18	18	NUM
ejpam-6228	453	8	(	(	PUNCT
ejpam-6228	453	9	2	2	NUM
ejpam-6228	453	10	)	)	PUNCT
ejpam-6228	453	11	(	(	PUNCT
ejpam-6228	453	12	2025	2025	NUM
ejpam-6228	453	13	)	)	PUNCT
ejpam-6228	453	14	,	,	PUNCT
ejpam-6228	453	15	6228	6228	NUM
ejpam-6228	453	16	32	32	NUM
ejpam-6228	453	17	of	of	ADP
ejpam-6228	453	18	35	35	NUM
ejpam-6228	453	19	cryptographic	cryptographic	ADJ
ejpam-6228	453	20	strength	strength	NOUN
ejpam-6228	453	21	of	of	ADP
ejpam-6228	453	22	s	s	NOUN
ejpam-6228	453	23	-	-	PUNCT
ejpam-6228	453	24	boxes	box	NOUN
ejpam-6228	453	25	,	,	PUNCT
ejpam-6228	453	26	consequently	consequently	ADV
ejpam-6228	453	27	improving	improve	VERB
ejpam-6228	453	28	nonlinearity	nonlinearity	NOUN
ejpam-6228	453	29	,	,	PUNCT
ejpam-6228	453	30	confusion	confusion	NOUN
ejpam-6228	453	31	,	,	PUNCT
ejpam-6228	453	32	and815	and815	NOUN
ejpam-6228	453	33	diffusion	diffusion	NOUN
ejpam-6228	453	34	properties	property	NOUN
ejpam-6228	453	35	.	.	PUNCT
ejpam-6228	454	1	using	use	VERB
ejpam-6228	454	2	quaternion	quaternion	NOUN
ejpam-6228	454	3	integer	integer	NOUN
ejpam-6228	454	4	based	base	VERB
ejpam-6228	454	5	s	s	NOUN
ejpam-6228	454	6	boxes	box	NOUN
ejpam-6228	454	7	in	in	ADP
ejpam-6228	454	8	conjunction	conjunction	NOUN
ejpam-6228	454	9	with	with	ADP
ejpam-6228	454	10	an	an	DET
ejpam-6228	454	11	spn816	spn816	PROPN
ejpam-6228	454	12	based	base	VERB
ejpam-6228	454	13	encryption	encryption	NOUN
ejpam-6228	454	14	scheme	scheme	NOUN
ejpam-6228	454	15	gives	give	VERB
ejpam-6228	454	16	high	high	ADJ
ejpam-6228	454	17	security	security	NOUN
ejpam-6228	454	18	level	level	NOUN
ejpam-6228	454	19	,	,	PUNCT
ejpam-6228	454	20	protected	protect	VERB
ejpam-6228	454	21	from	from	ADP
ejpam-6228	454	22	attack	attack	NOUN
ejpam-6228	454	23	by	by	ADP
ejpam-6228	454	24	statistical,817	statistical,817	PROPN
ejpam-6228	454	25	differential	differential	NOUN
ejpam-6228	454	26	and	and	CCONJ
ejpam-6228	454	27	cryptanalytic	cryptanalytic	ADJ
ejpam-6228	454	28	attacks	attack	NOUN
ejpam-6228	454	29	.	.	PUNCT
ejpam-6228	455	1	furthermore	furthermore	ADV
ejpam-6228	455	2	,	,	PUNCT
ejpam-6228	455	3	the	the	DET
ejpam-6228	455	4	proposed	propose	VERB
ejpam-6228	455	5	algorithm	algorithm	NOUN
ejpam-6228	455	6	is	be	AUX
ejpam-6228	455	7	computa-818	computa-818	ADJ
ejpam-6228	455	8	tionally	tionally	ADV
ejpam-6228	455	9	efficient	efficient	ADJ
ejpam-6228	455	10	,	,	PUNCT
ejpam-6228	455	11	which	which	PRON
ejpam-6228	455	12	allows	allow	VERB
ejpam-6228	455	13	for	for	ADP
ejpam-6228	455	14	real	real	ADJ
ejpam-6228	455	15	time	time	NOUN
ejpam-6228	455	16	applications	application	NOUN
ejpam-6228	455	17	in	in	ADP
ejpam-6228	455	18	domains	domain	NOUN
ejpam-6228	455	19	where	where	SCONJ
ejpam-6228	455	20	secure	secure	ADJ
ejpam-6228	455	21	mul-819	mul-819	NOUN
ejpam-6228	455	22	timedia	timedia	NOUN
ejpam-6228	455	23	transmission	transmission	NOUN
ejpam-6228	455	24	in	in	ADP
ejpam-6228	455	25	cloud	cloud	NOUN
ejpam-6228	455	26	storage	storage	NOUN
ejpam-6228	455	27	,	,	PUNCT
ejpam-6228	455	28	medical	medical	ADJ
ejpam-6228	455	29	imaging	imaging	NOUN
ejpam-6228	455	30	,	,	PUNCT
ejpam-6228	455	31	and	and	CCONJ
ejpam-6228	455	32	such	such	ADJ
ejpam-6228	455	33	are	be	AUX
ejpam-6228	455	34	progressing	progress	VERB
ejpam-6228	455	35	.	.	PUNCT
ejpam-6228	456	1	the820	the820	NOUN
ejpam-6228	456	2	presented	present	VERB
ejpam-6228	456	3	encryption	encryption	NOUN
ejpam-6228	456	4	framework	framework	NOUN
ejpam-6228	456	5	is	be	AUX
ejpam-6228	456	6	tested	test	VERB
ejpam-6228	456	7	through	through	ADP
ejpam-6228	456	8	extensive	extensive	ADJ
ejpam-6228	456	9	theoretical	theoretical	ADJ
ejpam-6228	456	10	and	and	CCONJ
ejpam-6228	456	11	experimental821	experimental821	PROPN
ejpam-6228	456	12	analysis	analysis	NOUN
ejpam-6228	456	13	and	and	CCONJ
ejpam-6228	456	14	is	be	AUX
ejpam-6228	456	15	proved	prove	VERB
ejpam-6228	456	16	to	to	PART
ejpam-6228	456	17	be	be	AUX
ejpam-6228	456	18	resilient	resilient	ADJ
ejpam-6228	456	19	and	and	CCONJ
ejpam-6228	456	20	practical	practical	ADJ
ejpam-6228	456	21	compared	compare	VERB
ejpam-6228	456	22	to	to	ADP
ejpam-6228	456	23	the	the	DET
ejpam-6228	456	24	conventional	conventional	ADJ
ejpam-6228	456	25	methods.822	methods.822	ADJ
ejpam-6228	456	26	computational	computational	ADJ
ejpam-6228	456	27	complexity	complexity	NOUN
ejpam-6228	456	28	in	in	ADP
ejpam-6228	456	29	the	the	DET
ejpam-6228	456	30	future	future	ADJ
ejpam-6228	456	31	research	research	NOUN
ejpam-6228	456	32	can	can	AUX
ejpam-6228	456	33	be	be	AUX
ejpam-6228	456	34	optimized	optimize	VERB
ejpam-6228	456	35	,	,	PUNCT
ejpam-6228	456	36	other	other	ADJ
ejpam-6228	456	37	cryptographic823	cryptographic823	NOUN
ejpam-6228	456	38	primitives	primitive	NOUN
ejpam-6228	456	39	can	can	AUX
ejpam-6228	456	40	be	be	AUX
ejpam-6228	456	41	extended	extend	VERB
ejpam-6228	456	42	by	by	ADP
ejpam-6228	456	43	the	the	DET
ejpam-6228	456	44	approach	approach	NOUN
ejpam-6228	456	45	,	,	PUNCT
ejpam-6228	456	46	and	and	CCONJ
ejpam-6228	456	47	the	the	DET
ejpam-6228	456	48	applicability	applicability	NOUN
ejpam-6228	456	49	in	in	ADP
ejpam-6228	456	50	resource	resource	NOUN
ejpam-6228	456	51	constrained824	constrained824	PROPN
ejpam-6228	456	52	environment	environment	NOUN
ejpam-6228	456	53	can	can	AUX
ejpam-6228	456	54	be	be	AUX
ejpam-6228	456	55	further	far	ADV
ejpam-6228	456	56	explored	explore	VERB
ejpam-6228	456	57	for	for	ADP
ejpam-6228	456	58	enhancing	enhance	VERB
ejpam-6228	456	59	the	the	DET
ejpam-6228	456	60	digital	digital	ADJ
ejpam-6228	456	61	security	security	NOUN
ejpam-6228	456	62	in	in	ADP
ejpam-6228	456	63	modern	modern	ADJ
ejpam-6228	456	64	multi-825	multi-825	PROPN
ejpam-6228	456	65	media	medium	NOUN
ejpam-6228	456	66	applications.826	applications.826	VERB
ejpam-6228	456	67	the	the	DET
ejpam-6228	456	68	optimization	optimization	NOUN
ejpam-6228	456	69	of	of	ADP
ejpam-6228	456	70	computational	computational	ADJ
ejpam-6228	456	71	complexity	complexity	NOUN
ejpam-6228	456	72	of	of	ADP
ejpam-6228	456	73	quaternion	quaternion	NOUN
ejpam-6228	456	74	integer	integer	NOUN
ejpam-6228	456	75	based	base	VERB
ejpam-6228	456	76	encryption827	encryption827	PROPN
ejpam-6228	456	77	schemes	scheme	NOUN
ejpam-6228	456	78	for	for	ADP
ejpam-6228	456	79	real	real	ADJ
ejpam-6228	456	80	time	time	NOUN
ejpam-6228	456	81	application	application	NOUN
ejpam-6228	456	82	can	can	AUX
ejpam-6228	456	83	be	be	AUX
ejpam-6228	456	84	one	one	NUM
ejpam-6228	456	85	future	future	ADJ
ejpam-6228	456	86	research	research	NOUN
ejpam-6228	456	87	.	.	PUNCT
ejpam-6228	457	1	these	these	DET
ejpam-6228	457	2	larger	large	ADJ
ejpam-6228	457	3	and	and	CCONJ
ejpam-6228	457	4	more	more	ADJ
ejpam-6228	457	5	com-828	com-828	NOUN
ejpam-6228	457	6	plex	plex	ADJ
ejpam-6228	457	7	algebraic	algebraic	PROPN
ejpam-6228	457	8	structures	structure	NOUN
ejpam-6228	457	9	offer	offer	VERB
ejpam-6228	457	10	further	further	ADJ
ejpam-6228	457	11	security	security	NOUN
ejpam-6228	457	12	benefits	benefit	NOUN
ejpam-6228	457	13	including	include	VERB
ejpam-6228	457	14	exploration	exploration	NOUN
ejpam-6228	457	15	of	of	ADP
ejpam-6228	457	16	octonion829	octonion829	PROPN
ejpam-6228	457	17	or	or	CCONJ
ejpam-6228	457	18	sedenion	sedenion	VERB
ejpam-6228	457	19	integers	integer	NOUN
ejpam-6228	457	20	.	.	PUNCT
ejpam-6228	458	1	it	it	PRON
ejpam-6228	458	2	is	be	AUX
ejpam-6228	458	3	possible	possible	ADJ
ejpam-6228	458	4	to	to	PART
ejpam-6228	458	5	broaden	broaden	VERB
ejpam-6228	458	6	the	the	DET
ejpam-6228	458	7	applicability	applicability	NOUN
ejpam-6228	458	8	of	of	ADP
ejpam-6228	458	9	the	the	DET
ejpam-6228	458	10	proposed	propose	VERB
ejpam-6228	458	11	framework830	framework830	PROPN
ejpam-6228	458	12	to	to	ADP
ejpam-6228	458	13	other	other	ADJ
ejpam-6228	458	14	cryptographic	cryptographic	ADJ
ejpam-6228	458	15	primitives	primitive	NOUN
ejpam-6228	458	16	such	such	ADJ
ejpam-6228	458	17	as	as	ADP
ejpam-6228	458	18	hash	hash	NOUN
ejpam-6228	458	19	functions	function	NOUN
ejpam-6228	458	20	and	and	CCONJ
ejpam-6228	458	21	digital	digital	ADJ
ejpam-6228	458	22	signatures	signature	NOUN
ejpam-6228	458	23	.	.	PUNCT
ejpam-6228	459	1	working831	working831	SCONJ
ejpam-6228	459	2	together	together	ADV
ejpam-6228	459	3	with	with	ADP
ejpam-6228	459	4	the	the	DET
ejpam-6228	459	5	latest	late	ADJ
ejpam-6228	459	6	technologies	technology	NOUN
ejpam-6228	459	7	like	like	ADP
ejpam-6228	459	8	quantum	quantum	ADJ
ejpam-6228	459	9	cryptography	cryptography	NOUN
ejpam-6228	459	10	and	and	CCONJ
ejpam-6228	459	11	lightweight	lightweight	NOUN
ejpam-6228	459	12	crypto-832	crypto-832	NOUN
ejpam-6228	459	13	graphic	graphic	ADJ
ejpam-6228	459	14	protocols	protocol	NOUN
ejpam-6228	459	15	for	for	ADP
ejpam-6228	459	16	iot	iot	NOUN
ejpam-6228	459	17	and	and	CCONJ
ejpam-6228	459	18	edge	edge	NOUN
ejpam-6228	459	19	computing	computing	NOUN
ejpam-6228	459	20	,	,	PUNCT
ejpam-6228	459	21	the	the	DET
ejpam-6228	459	22	process	process	NOUN
ejpam-6228	459	23	of	of	ADP
ejpam-6228	459	24	encryption	encryption	NOUN
ejpam-6228	459	25	may	may	AUX
ejpam-6228	459	26	be	be	AUX
ejpam-6228	459	27	integrated833	integrated833	PROPN
ejpam-6228	459	28	and	and	CCONJ
ejpam-6228	459	29	this	this	PRON
ejpam-6228	459	30	would	would	AUX
ejpam-6228	459	31	serve	serve	VERB
ejpam-6228	459	32	as	as	ADP
ejpam-6228	459	33	a	a	DET
ejpam-6228	459	34	lot	lot	NOUN
ejpam-6228	459	35	of	of	ADP
ejpam-6228	459	36	help	help	NOUN
ejpam-6228	459	37	in	in	ADP
ejpam-6228	459	38	having	have	VERB
ejpam-6228	459	39	a	a	DET
ejpam-6228	459	40	good	good	ADJ
ejpam-6228	459	41	digital	digital	ADJ
ejpam-6228	459	42	security	security	NOUN
ejpam-6228	459	43	in	in	ADP
ejpam-6228	459	44	different	different	ADJ
ejpam-6228	459	45	uses.834	uses.834	PROPN
ejpam-6228	459	46	acknowledgements835	acknowledgements835	NOUN
ejpam-6228	459	47	the	the	DET
ejpam-6228	459	48	researchers	researcher	NOUN
ejpam-6228	459	49	would	would	AUX
ejpam-6228	459	50	like	like	VERB
ejpam-6228	459	51	to	to	PART
ejpam-6228	459	52	thank	thank	VERB
ejpam-6228	459	53	the	the	DET
ejpam-6228	459	54	deanship	deanship	NOUN
ejpam-6228	459	55	of	of	ADP
ejpam-6228	459	56	graduate	graduate	NOUN
ejpam-6228	459	57	studies	study	NOUN
ejpam-6228	459	58	and	and	CCONJ
ejpam-6228	459	59	scientific836	scientific836	PROPN
ejpam-6228	459	60	research	research	NOUN
ejpam-6228	459	61	at	at	ADP
ejpam-6228	459	62	qassim	qassim	PROPN
ejpam-6228	459	63	university	university	PROPN
ejpam-6228	459	64	for	for	ADP
ejpam-6228	459	65	financial	financial	ADJ
ejpam-6228	459	66	support	support	NOUN
ejpam-6228	459	67	(	(	PUNCT
ejpam-6228	459	68	qu	qu	PROPN
ejpam-6228	459	69	-	-	ADJ
ejpam-6228	459	70	apc-2025).837	apc-2025).837	PROPN
ejpam-6228	459	71	data	datum	NOUN
ejpam-6228	459	72	availability838	availability838	PROPN
ejpam-6228	459	73	the	the	DET
ejpam-6228	459	74	images	image	NOUN
ejpam-6228	459	75	used	use	VERB
ejpam-6228	459	76	in	in	ADP
ejpam-6228	459	77	this	this	DET
ejpam-6228	459	78	study	study	NOUN
ejpam-6228	459	79	were	be	AUX
ejpam-6228	459	80	obtained	obtain	VERB
ejpam-6228	459	81	from	from	ADP
ejpam-6228	459	82	’	'	PUNCT
ejpam-6228	459	83	the	the	DET
ejpam-6228	459	84	usc	usc	ADJ
ejpam-6228	459	85	-	-	PUNCT
ejpam-6228	459	86	sipi	sipi	NOUN
ejpam-6228	459	87	image	image	NOUN
ejpam-6228	459	88	database’839	database’839	NOUN
ejpam-6228	459	89	(	(	PUNCT
ejpam-6228	459	90	https://sipi.usc.edu/database	https://sipi.usc.edu/database	PROPN
ejpam-6228	459	91	)	)	PUNCT
ejpam-6228	459	92	.	.	PUNCT
ejpam-6228	460	1	the	the	DET
ejpam-6228	460	2	images	image	NOUN
ejpam-6228	460	3	were	be	AUX
ejpam-6228	460	4	combined	combine	VERB
ejpam-6228	460	5	and	and	CCONJ
ejpam-6228	460	6	processed	process	VERB
ejpam-6228	460	7	to	to	PART
ejpam-6228	460	8	meet	meet	VERB
ejpam-6228	460	9	the840	the840	PROPN
ejpam-6228	460	10	specific	specific	ADJ
ejpam-6228	460	11	pixel	pixel	NOUN
ejpam-6228	460	12	requirements	requirement	NOUN
ejpam-6228	460	13	of	of	ADP
ejpam-6228	460	14	the	the	DET
ejpam-6228	460	15	experiment	experiment	NOUN
ejpam-6228	460	16	.	.	PUNCT
ejpam-6228	461	1	the	the	DET
ejpam-6228	461	2	researcher	researcher	NOUN
ejpam-6228	461	3	can	can	AUX
ejpam-6228	461	4	contact	contact	VERB
ejpam-6228	461	5	to	to	ADP
ejpam-6228	461	6	the	the	DET
ejpam-6228	461	7	muham-841	muham-841	ADJ
ejpam-6228	461	8	mad	mad	ADJ
ejpam-6228	461	9	sajjad	sajjad	PROPN
ejpam-6228	461	10	for	for	ADP
ejpam-6228	461	11	getting	get	VERB
ejpam-6228	461	12	the	the	DET
ejpam-6228	461	13	images.842	images.842	NOUN
ejpam-6228	461	14	references843	references843	VERB
ejpam-6228	461	15	[	[	X
ejpam-6228	461	16	1	1	NUM
ejpam-6228	461	17	]	]	PUNCT
ejpam-6228	461	18	alfred	alfred	PROPN
ejpam-6228	461	19	j	j	PROPN
ejpam-6228	461	20	menezes	menezes	PROPN
ejpam-6228	461	21	,	,	PUNCT
ejpam-6228	461	22	paul	paul	PROPN
ejpam-6228	461	23	c	c	PROPN
ejpam-6228	461	24	van	van	PROPN
ejpam-6228	461	25	oorschot	oorschot	PROPN
ejpam-6228	461	26	,	,	PUNCT
ejpam-6228	461	27	and	and	CCONJ
ejpam-6228	461	28	scott	scott	PROPN
ejpam-6228	461	29	a	a	DET
ejpam-6228	461	30	vanstone	vanstone	NOUN
ejpam-6228	461	31	.	.	PUNCT
ejpam-6228	462	1	handbook	handbook	NOUN
ejpam-6228	462	2	of	of	ADP
ejpam-6228	462	3	applied844	applied844	PROPN
ejpam-6228	462	4	cryptography	cryptography	NOUN
ejpam-6228	462	5	.	.	PUNCT
ejpam-6228	463	1	crc	crc	PROPN
ejpam-6228	463	2	press	press	PROPN
ejpam-6228	463	3	,	,	PUNCT
ejpam-6228	464	1	2018.845	2018.845	PROPN
ejpam-6228	464	2	[	[	X
ejpam-6228	464	3	2	2	NUM
ejpam-6228	464	4	]	]	PUNCT
ejpam-6228	464	5	claude	claude	PROPN
ejpam-6228	464	6	carlet	carlet	PROPN
ejpam-6228	464	7	and	and	CCONJ
ejpam-6228	464	8	cunsheng	cunsheng	PROPN
ejpam-6228	464	9	ding	ding	PROPN
ejpam-6228	464	10	.	.	PUNCT
ejpam-6228	465	1	nonlinearities	nonlinearitie	NOUN
ejpam-6228	465	2	of	of	ADP
ejpam-6228	465	3	s	s	NOUN
ejpam-6228	465	4	-	-	NOUN
ejpam-6228	465	5	boxes	box	NOUN
ejpam-6228	465	6	.	.	PUNCT
ejpam-6228	466	1	finite	finite	PROPN
ejpam-6228	466	2	fields	field	NOUN
ejpam-6228	466	3	and	and	CCONJ
ejpam-6228	466	4	their846	their846	PROPN
ejpam-6228	466	5	applications	application	NOUN
ejpam-6228	466	6	,	,	PUNCT
ejpam-6228	466	7	13(1):121–135	13(1):121–135	PROPN
ejpam-6228	466	8	,	,	PUNCT
ejpam-6228	466	9	2007.847	2007.847	PROPN
ejpam-6228	467	1	[	[	X
ejpam-6228	467	2	3	3	X
ejpam-6228	467	3	]	]	X
ejpam-6228	467	4	majid	majid	PROPN
ejpam-6228	467	5	khan	khan	PROPN
ejpam-6228	467	6	,	,	PUNCT
ejpam-6228	467	7	tariq	tariq	PROPN
ejpam-6228	467	8	shah	shah	PROPN
ejpam-6228	467	9	,	,	PUNCT
ejpam-6228	467	10	hasan	hasan	PROPN
ejpam-6228	467	11	mahmood	mahmood	PROPN
ejpam-6228	467	12	,	,	PUNCT
ejpam-6228	467	13	muhammad	muhammad	PROPN
ejpam-6228	467	14	asif	asif	PROPN
ejpam-6228	467	15	gondal	gondal	NOUN
ejpam-6228	467	16	,	,	PUNCT
ejpam-6228	467	17	and	and	CCONJ
ejpam-6228	467	18	iqtadar848	iqtadar848	PROPN
ejpam-6228	467	19	hussain	hussain	PROPN
ejpam-6228	467	20	.	.	PUNCT
ejpam-6228	468	1	a	a	DET
ejpam-6228	468	2	novel	novel	ADJ
ejpam-6228	468	3	technique	technique	NOUN
ejpam-6228	468	4	for	for	ADP
ejpam-6228	468	5	the	the	DET
ejpam-6228	468	6	construction	construction	NOUN
ejpam-6228	468	7	of	of	ADP
ejpam-6228	468	8	strong	strong	ADJ
ejpam-6228	468	9	s	s	NOUN
ejpam-6228	468	10	-	-	PUNCT
ejpam-6228	468	11	boxes	box	NOUN
ejpam-6228	468	12	based	base	VERB
ejpam-6228	468	13	on	on	ADP
ejpam-6228	468	14	chaotic849	chaotic849	PROPN
ejpam-6228	468	15	lorenz	lorenz	PROPN
ejpam-6228	468	16	systems	system	NOUN
ejpam-6228	468	17	.	.	PUNCT
ejpam-6228	469	1	nonlinear	nonlinear	ADJ
ejpam-6228	469	2	dynamics	dynamic	NOUN
ejpam-6228	469	3	,	,	PUNCT
ejpam-6228	469	4	70:2303–2311	70:2303–2311	NUM
ejpam-6228	469	5	,	,	PUNCT
ejpam-6228	469	6	2012.850	2012.850	NUM
ejpam-6228	469	7	m.	m.	NOUN
ejpam-6228	469	8	sajjad	sajjad	PROPN
ejpam-6228	469	9	,	,	PUNCT
ejpam-6228	469	10	n.	n.	PROPN
ejpam-6228	469	11	a.	a.	NOUN
ejpam-6228	469	12	alqwaifly	alqwaifly	PROPN
ejpam-6228	469	13	/	/	SYM
ejpam-6228	469	14	eur	eur	PROPN
ejpam-6228	469	15	.	.	PUNCT
ejpam-6228	470	1	j.	j.	PROPN
ejpam-6228	470	2	pure	pure	PROPN
ejpam-6228	470	3	appl	appl	PROPN
ejpam-6228	470	4	.	.	PROPN
ejpam-6228	470	5	math	math	PROPN
ejpam-6228	470	6	,	,	PUNCT
ejpam-6228	470	7	18	18	NUM
ejpam-6228	470	8	(	(	PUNCT
ejpam-6228	470	9	2	2	NUM
ejpam-6228	470	10	)	)	PUNCT
ejpam-6228	470	11	(	(	PUNCT
ejpam-6228	470	12	2025	2025	NUM
ejpam-6228	470	13	)	)	PUNCT
ejpam-6228	470	14	,	,	PUNCT
ejpam-6228	470	15	6228	6228	NUM
ejpam-6228	470	16	33	33	NUM
ejpam-6228	470	17	of	of	ADP
ejpam-6228	470	18	35	35	NUM
ejpam-6228	470	19	[	[	SYM
ejpam-6228	470	20	4	4	NUM
ejpam-6228	470	21	]	]	X
ejpam-6228	470	22	naveed	naveed	PROPN
ejpam-6228	470	23	ahmed	ahmed	PROPN
ejpam-6228	470	24	azam	azam	PROPN
ejpam-6228	470	25	,	,	PUNCT
ejpam-6228	470	26	umar	umar	PROPN
ejpam-6228	470	27	hayat	hayat	PROPN
ejpam-6228	470	28	,	,	PUNCT
ejpam-6228	470	29	and	and	CCONJ
ejpam-6228	470	30	maria	maria	PROPN
ejpam-6228	470	31	ayub	ayub	PROPN
ejpam-6228	470	32	.	.	PUNCT
ejpam-6228	471	1	a	a	DET
ejpam-6228	471	2	substitution	substitution	NOUN
ejpam-6228	471	3	box	box	NOUN
ejpam-6228	471	4	generator,851	generator,851	ADP
ejpam-6228	471	5	its	its	PRON
ejpam-6228	471	6	analysis	analysis	NOUN
ejpam-6228	471	7	,	,	PUNCT
ejpam-6228	471	8	and	and	CCONJ
ejpam-6228	471	9	applications	application	NOUN
ejpam-6228	471	10	in	in	ADP
ejpam-6228	471	11	image	image	NOUN
ejpam-6228	471	12	encryption	encryption	NOUN
ejpam-6228	471	13	.	.	PUNCT
ejpam-6228	472	1	signal	signal	PROPN
ejpam-6228	472	2	processing	processing	NOUN
ejpam-6228	472	3	,	,	PUNCT
ejpam-6228	472	4	187:108144,852	187:108144,852	NUM
ejpam-6228	472	5	2021.853	2021.853	NUM
ejpam-6228	472	6	[	[	X
ejpam-6228	472	7	5	5	X
ejpam-6228	472	8	]	]	PUNCT
ejpam-6228	472	9	muhammad	muhammad	PROPN
ejpam-6228	472	10	sajjad	sajjad	PROPN
ejpam-6228	472	11	,	,	PUNCT
ejpam-6228	472	12	tariq	tariq	PROPN
ejpam-6228	472	13	shah	shah	PROPN
ejpam-6228	472	14	,	,	PUNCT
ejpam-6228	472	15	tanveer	tanveer	PROPN
ejpam-6228	472	16	ul	ul	PROPN
ejpam-6228	472	17	haq	haq	PROPN
ejpam-6228	472	18	,	,	PUNCT
ejpam-6228	472	19	bander	bander	NOUN
ejpam-6228	472	20	almutairi	almutairi	NOUN
ejpam-6228	472	21	,	,	PUNCT
ejpam-6228	472	22	and	and	CCONJ
ejpam-6228	472	23	qin	qin	PROPN
ejpam-6228	472	24	xin.854	xin.854	PROPN
ejpam-6228	472	25	spn	spn	PROPN
ejpam-6228	472	26	based	base	VERB
ejpam-6228	472	27	rgb	rgb	PROPN
ejpam-6228	472	28	image	image	NOUN
ejpam-6228	472	29	encryption	encryption	NOUN
ejpam-6228	472	30	over	over	ADP
ejpam-6228	472	31	gaussian	gaussian	ADJ
ejpam-6228	472	32	integers	integer	NOUN
ejpam-6228	472	33	.	.	PUNCT
ejpam-6228	473	1	heliyon	heliyon	NOUN
ejpam-6228	473	2	,	,	PUNCT
ejpam-6228	473	3	10(9	10(9	NUM
ejpam-6228	473	4	)	)	PUNCT
ejpam-6228	473	5	,	,	PUNCT
ejpam-6228	473	6	2024.855	2024.855	NUM
ejpam-6228	474	1	[	[	X
ejpam-6228	474	2	6	6	NUM
ejpam-6228	474	3	]	]	PUNCT
ejpam-6228	474	4	giuliana	giuliana	PROPN
ejpam-6228	474	5	p	p	PROPN
ejpam-6228	474	6	davidoff	davidoff	PROPN
ejpam-6228	474	7	,	,	PUNCT
ejpam-6228	474	8	peter	peter	PROPN
ejpam-6228	474	9	sarnak	sarnak	PROPN
ejpam-6228	474	10	,	,	PUNCT
ejpam-6228	474	11	and	and	CCONJ
ejpam-6228	474	12	alain	alain	PROPN
ejpam-6228	474	13	valette	valette	PROPN
ejpam-6228	474	14	.	.	PUNCT
ejpam-6228	475	1	elementary	elementary	ADJ
ejpam-6228	475	2	number	number	NOUN
ejpam-6228	475	3	theory,856	theory,856	PROPN
ejpam-6228	475	4	group	group	PROPN
ejpam-6228	475	5	theory	theory	NOUN
ejpam-6228	475	6	,	,	PUNCT
ejpam-6228	475	7	and	and	CCONJ
ejpam-6228	475	8	ramanujan	ramanujan	NOUN
ejpam-6228	475	9	graphs	graph	NOUN
ejpam-6228	475	10	,	,	PUNCT
ejpam-6228	475	11	volume	volume	NOUN
ejpam-6228	475	12	55	55	NUM
ejpam-6228	475	13	.	.	PUNCT
ejpam-6228	476	1	cambridge	cambridge	PROPN
ejpam-6228	476	2	university	university	PROPN
ejpam-6228	476	3	press	press	PROPN
ejpam-6228	476	4	cam-857	cam-857	PROPN
ejpam-6228	476	5	bridge	bridge	NOUN
ejpam-6228	476	6	,	,	PUNCT
ejpam-6228	476	7	2003.858	2003.858	NUM
ejpam-6228	477	1	[	[	X
ejpam-6228	477	2	7	7	X
ejpam-6228	477	3	]	]	X
ejpam-6228	477	4	muhammad	muhammad	PROPN
ejpam-6228	477	5	sajjad	sajjad	PROPN
ejpam-6228	477	6	and	and	CCONJ
ejpam-6228	477	7	tariq	tariq	PROPN
ejpam-6228	477	8	shah	shah	PROPN
ejpam-6228	478	1	.	.	PUNCT
ejpam-6228	479	1	decoding	decode	VERB
ejpam-6228	479	2	of	of	ADP
ejpam-6228	479	3	cyclic	cyclic	ADJ
ejpam-6228	479	4	codes	code	NOUN
ejpam-6228	479	5	over	over	ADP
ejpam-6228	479	6	quaternion	quaternion	NOUN
ejpam-6228	479	7	integers859	integers859	PROPN
ejpam-6228	479	8	by	by	ADP
ejpam-6228	479	9	modified	modified	ADJ
ejpam-6228	479	10	berlekamp	berlekamp	NOUN
ejpam-6228	479	11	–	–	PUNCT
ejpam-6228	479	12	massey	massey	NOUN
ejpam-6228	479	13	algorithm	algorithm	NOUN
ejpam-6228	479	14	.	.	PUNCT
ejpam-6228	480	1	computational	computational	ADJ
ejpam-6228	480	2	and	and	CCONJ
ejpam-6228	480	3	applied	apply	VERB
ejpam-6228	480	4	mathematics,860	mathematics,860	PROPN
ejpam-6228	480	5	43(2):102	43(2):102	NUM
ejpam-6228	480	6	,	,	PUNCT
ejpam-6228	480	7	2024.861	2024.861	PROPN
ejpam-6228	480	8	[	[	X
ejpam-6228	480	9	8	8	NUM
ejpam-6228	480	10	]	]	X
ejpam-6228	480	11	tariq	tariq	NOUN
ejpam-6228	480	12	shah	shah	PROPN
ejpam-6228	480	13	and	and	CCONJ
ejpam-6228	480	14	summera	summera	NOUN
ejpam-6228	480	15	said	say	VERB
ejpam-6228	480	16	rasool	rasool	NOUN
ejpam-6228	480	17	.	.	PUNCT
ejpam-6228	481	1	on	on	ADP
ejpam-6228	481	2	codes	code	NOUN
ejpam-6228	481	3	over	over	ADP
ejpam-6228	481	4	quaternion	quaternion	NOUN
ejpam-6228	481	5	integers	integer	NOUN
ejpam-6228	481	6	.	.	PUNCT
ejpam-6228	482	1	applicable862	applicable862	PROPN
ejpam-6228	482	2	algebra	algebra	NOUN
ejpam-6228	482	3	in	in	ADP
ejpam-6228	482	4	engineering	engineering	NOUN
ejpam-6228	482	5	,	,	PUNCT
ejpam-6228	482	6	communication	communication	NOUN
ejpam-6228	482	7	and	and	CCONJ
ejpam-6228	482	8	computing	computing	NOUN
ejpam-6228	482	9	,	,	PUNCT
ejpam-6228	482	10	24(6):477–496	24(6):477–496	PROPN
ejpam-6228	482	11	,	,	PUNCT
ejpam-6228	482	12	2013.863	2013.863	NUM
ejpam-6228	482	13	[	[	X
ejpam-6228	482	14	9	9	NUM
ejpam-6228	482	15	]	]	X
ejpam-6228	482	16	mehmet	mehmet	PROPN
ejpam-6228	483	1	ozen	ozen	PROPN
ejpam-6228	483	2	and	and	CCONJ
ejpam-6228	483	3	murat	murat	PROPN
ejpam-6228	483	4	guzeltepe	guzeltepe	PROPN
ejpam-6228	483	5	.	.	PUNCT
ejpam-6228	484	1	codes	code	NOUN
ejpam-6228	484	2	over	over	ADP
ejpam-6228	484	3	quaternion	quaternion	NOUN
ejpam-6228	484	4	integers	integer	NOUN
ejpam-6228	484	5	.	.	PUNCT
ejpam-6228	485	1	european864	european864	PROPN
ejpam-6228	485	2	journal	journal	NOUN
ejpam-6228	485	3	of	of	ADP
ejpam-6228	485	4	pure	pure	ADJ
ejpam-6228	485	5	and	and	CCONJ
ejpam-6228	485	6	applied	applied	ADJ
ejpam-6228	485	7	mathematics	mathematic	NOUN
ejpam-6228	485	8	,	,	PUNCT
ejpam-6228	485	9	3(4):670–677	3(4):670–677	NUM
ejpam-6228	485	10	,	,	PUNCT
ejpam-6228	485	11	2010.865	2010.865	NUM
ejpam-6228	485	12	[	[	X
ejpam-6228	485	13	10	10	NUM
ejpam-6228	485	14	]	]	X
ejpam-6228	485	15	mehmet	mehmet	PROPN
ejpam-6228	485	16	özen	özen	PROPN
ejpam-6228	485	17	and	and	CCONJ
ejpam-6228	485	18	murat	murat	PROPN
ejpam-6228	485	19	güzeltepe	güzeltepe	NOUN
ejpam-6228	485	20	.	.	PUNCT
ejpam-6228	486	1	cyclic	cyclic	ADJ
ejpam-6228	486	2	codes	code	NOUN
ejpam-6228	486	3	over	over	ADP
ejpam-6228	486	4	some	some	DET
ejpam-6228	486	5	finite	finite	NOUN
ejpam-6228	486	6	quaternion	quaternion	PROPN
ejpam-6228	486	7	integer866	integer866	PROPN
ejpam-6228	486	8	rings	ring	NOUN
ejpam-6228	486	9	.	.	PUNCT
ejpam-6228	487	1	journal	journal	PROPN
ejpam-6228	487	2	of	of	ADP
ejpam-6228	487	3	the	the	DET
ejpam-6228	487	4	franklin	franklin	PROPN
ejpam-6228	487	5	institute	institute	PROPN
ejpam-6228	487	6	,	,	PUNCT
ejpam-6228	487	7	348(7):1312–1317	348(7):1312–1317	PROPN
ejpam-6228	487	8	,	,	PUNCT
ejpam-6228	487	9	2011.867	2011.867	NUM
ejpam-6228	487	10	[	[	PUNCT
ejpam-6228	487	11	11	11	NUM
ejpam-6228	487	12	]	]	PUNCT
ejpam-6228	487	13	muhammad	muhammad	PROPN
ejpam-6228	487	14	sajjad	sajjad	PROPN
ejpam-6228	487	15	,	,	PUNCT
ejpam-6228	487	16	tariq	tariq	PROPN
ejpam-6228	487	17	shah	shah	PROPN
ejpam-6228	487	18	,	,	PUNCT
ejpam-6228	487	19	mohammad	mohammad	PROPN
ejpam-6228	487	20	mazyad	mazyad	PROPN
ejpam-6228	487	21	hazzazi	hazzazi	PROPN
ejpam-6228	487	22	,	,	PUNCT
ejpam-6228	487	23	adel	adel	PROPN
ejpam-6228	487	24	r	r	PROPN
ejpam-6228	487	25	alharbi	alharbi	NOUN
ejpam-6228	487	26	,	,	PUNCT
ejpam-6228	487	27	and868	and868	VERB
ejpam-6228	487	28	iqtadar	iqtadar	NOUN
ejpam-6228	487	29	hussain	hussain	PROPN
ejpam-6228	487	30	.	.	PUNCT
ejpam-6228	488	1	quaternion	quaternion	NOUN
ejpam-6228	488	2	integers	integer	NOUN
ejpam-6228	488	3	based	base	VERB
ejpam-6228	488	4	higher	high	ADJ
ejpam-6228	488	5	length	length	NOUN
ejpam-6228	488	6	cyclic	cyclic	NOUN
ejpam-6228	488	7	codes	code	NOUN
ejpam-6228	488	8	and	and	CCONJ
ejpam-6228	488	9	their869	their869	PROPN
ejpam-6228	488	10	decoding	decode	VERB
ejpam-6228	488	11	algorithm	algorithm	NOUN
ejpam-6228	488	12	.	.	PUNCT
ejpam-6228	489	1	computers	computer	NOUN
ejpam-6228	489	2	,	,	PUNCT
ejpam-6228	489	3	materials	material	NOUN
ejpam-6228	489	4	&	&	CCONJ
ejpam-6228	489	5	continua	continua	PROPN
ejpam-6228	489	6	,	,	PUNCT
ejpam-6228	489	7	73(1	73(1	NUM
ejpam-6228	489	8	)	)	PUNCT
ejpam-6228	489	9	,	,	PUNCT
ejpam-6228	489	10	2022.870	2022.870	PROPN
ejpam-6228	490	1	[	[	X
ejpam-6228	490	2	12	12	NUM
ejpam-6228	490	3	]	]	X
ejpam-6228	490	4	mohammadmazyad	mohammadmazyad	PROPN
ejpam-6228	490	5	hazzazi	hazzazi	PROPN
ejpam-6228	490	6	,	,	PUNCT
ejpam-6228	490	7	muhammad	muhammad	PROPN
ejpam-6228	490	8	sajjad	sajjad	PROPN
ejpam-6228	490	9	,	,	PUNCT
ejpam-6228	490	10	zaid	zaid	ADJ
ejpam-6228	490	11	bassfar	bassfar	ADV
ejpam-6228	490	12	,	,	PUNCT
ejpam-6228	490	13	tariq	tariq	NOUN
ejpam-6228	490	14	shah	shah	NOUN
ejpam-6228	490	15	,	,	PUNCT
ejpam-6228	490	16	and	and	CCONJ
ejpam-6228	490	17	ash-871	ash-871	PROPN
ejpam-6228	490	18	wag	wag	NOUN
ejpam-6228	490	19	albakri	albakri	NOUN
ejpam-6228	490	20	.	.	PUNCT
ejpam-6228	491	1	nonlinear	nonlinear	ADJ
ejpam-6228	491	2	components	component	NOUN
ejpam-6228	491	3	of	of	ADP
ejpam-6228	491	4	a	a	DET
ejpam-6228	491	5	block	block	NOUN
ejpam-6228	491	6	cipher	cipher	ADJ
ejpam-6228	491	7	over	over	ADP
ejpam-6228	491	8	eisenstein	eisenstein	NOUN
ejpam-6228	491	9	integers	integer	NOUN
ejpam-6228	491	10	.	.	PUNCT
ejpam-6228	492	1	com-872	com-872	NOUN
ejpam-6228	492	2	puters	puter	NOUN
ejpam-6228	492	3	,	,	PUNCT
ejpam-6228	492	4	materials	material	NOUN
ejpam-6228	492	5	&	&	CCONJ
ejpam-6228	492	6	continua	continua	PROPN
ejpam-6228	492	7	,	,	PUNCT
ejpam-6228	492	8	77(3	77(3	PROPN
ejpam-6228	492	9	)	)	PUNCT
ejpam-6228	492	10	,	,	PUNCT
ejpam-6228	492	11	2023.873	2023.873	PROPN
ejpam-6228	492	12	[	[	X
ejpam-6228	492	13	13	13	NUM
ejpam-6228	492	14	]	]	PUNCT
ejpam-6228	492	15	muhammad	muhammad	PROPN
ejpam-6228	492	16	sajjad	sajjad	PROPN
ejpam-6228	492	17	,	,	PUNCT
ejpam-6228	492	18	tariq	tariq	NOUN
ejpam-6228	492	19	shah	shah	PROPN
ejpam-6228	492	20	,	,	PUNCT
ejpam-6228	492	21	and	and	CCONJ
ejpam-6228	492	22	robinson	robinson	PROPN
ejpam-6228	492	23	julian	julian	PROPN
ejpam-6228	492	24	serna	serna	PROPN
ejpam-6228	492	25	.	.	PUNCT
ejpam-6228	493	1	designing	design	VERB
ejpam-6228	493	2	pair	pair	NOUN
ejpam-6228	493	3	of	of	ADP
ejpam-6228	493	4	non-874	non-874	PROPN
ejpam-6228	494	1	linear	linear	ADJ
ejpam-6228	494	2	components	component	NOUN
ejpam-6228	494	3	of	of	ADP
ejpam-6228	494	4	a	a	DET
ejpam-6228	494	5	block	block	NOUN
ejpam-6228	494	6	cipher	cipher	ADJ
ejpam-6228	494	7	over	over	ADP
ejpam-6228	494	8	gaussian	gaussian	ADJ
ejpam-6228	494	9	integers	integer	NOUN
ejpam-6228	494	10	.	.	PUNCT
ejpam-6228	495	1	computers	computer	NOUN
ejpam-6228	495	2	,	,	PUNCT
ejpam-6228	495	3	materials	material	NOUN
ejpam-6228	495	4	&	&	CCONJ
ejpam-6228	495	5	875	875	NUM
ejpam-6228	495	6	continua	continuum	NOUN
ejpam-6228	495	7	,	,	PUNCT
ejpam-6228	495	8	75(3	75(3	NUM
ejpam-6228	495	9	)	)	PUNCT
ejpam-6228	495	10	,	,	PUNCT
ejpam-6228	495	11	2023.876	2023.876	NUM
ejpam-6228	495	12	[	[	X
ejpam-6228	495	13	14	14	NUM
ejpam-6228	495	14	]	]	X
ejpam-6228	495	15	muhammad	muhammad	PROPN
ejpam-6228	495	16	sajjad	sajjad	PROPN
ejpam-6228	495	17	,	,	PUNCT
ejpam-6228	495	18	tariq	tariq	PROPN
ejpam-6228	495	19	shah	shah	PROPN
ejpam-6228	495	20	,	,	PUNCT
ejpam-6228	495	21	huda	huda	PROPN
ejpam-6228	495	22	alsaud	alsaud	PROPN
ejpam-6228	495	23	,	,	PUNCT
ejpam-6228	495	24	and	and	CCONJ
ejpam-6228	495	25	maha	maha	PROPN
ejpam-6228	495	26	alammari	alammari	PROPN
ejpam-6228	495	27	.	.	PUNCT
ejpam-6228	496	1	designing	design	VERB
ejpam-6228	496	2	pair	pair	NOUN
ejpam-6228	496	3	of877	of877	ADJ
ejpam-6228	496	4	nonlinear	nonlinear	ADJ
ejpam-6228	496	5	components	component	NOUN
ejpam-6228	496	6	of	of	ADP
ejpam-6228	496	7	a	a	DET
ejpam-6228	496	8	block	block	NOUN
ejpam-6228	496	9	cipher	cipher	ADJ
ejpam-6228	496	10	over	over	ADP
ejpam-6228	496	11	quaternion	quaternion	NOUN
ejpam-6228	496	12	integers	integer	NOUN
ejpam-6228	496	13	.	.	PUNCT
ejpam-6228	497	1	aims	aim	VERB
ejpam-6228	497	2	mathematics,878	mathematics,878	PROPN
ejpam-6228	497	3	8(9):21089–21105	8(9):21089–21105	PROPN
ejpam-6228	497	4	,	,	PUNCT
ejpam-6228	497	5	2023.879	2023.879	NUM
ejpam-6228	497	6	[	[	X
ejpam-6228	497	7	15	15	NUM
ejpam-6228	497	8	]	]	X
ejpam-6228	497	9	fırat	fırat	NOUN
ejpam-6228	497	10	artuğer	artuğer	PROPN
ejpam-6228	497	11	and	and	CCONJ
ejpam-6228	497	12	fatih	fatih	PROPN
ejpam-6228	497	13	özkaynak	özkaynak	PROPN
ejpam-6228	497	14	.	.	PUNCT
ejpam-6228	498	1	an	an	DET
ejpam-6228	498	2	effective	effective	ADJ
ejpam-6228	498	3	method	method	NOUN
ejpam-6228	498	4	to	to	PART
ejpam-6228	498	5	improve	improve	VERB
ejpam-6228	498	6	nonlinearity	nonlinearity	NOUN
ejpam-6228	498	7	value880	value880	PROPN
ejpam-6228	498	8	of	of	ADP
ejpam-6228	498	9	substitution	substitution	NOUN
ejpam-6228	498	10	boxes	box	NOUN
ejpam-6228	498	11	based	base	VERB
ejpam-6228	498	12	on	on	ADP
ejpam-6228	498	13	random	random	ADJ
ejpam-6228	498	14	selection	selection	NOUN
ejpam-6228	498	15	.	.	PUNCT
ejpam-6228	499	1	information	information	NOUN
ejpam-6228	499	2	sciences	sciences	PROPN
ejpam-6228	499	3	,	,	PUNCT
ejpam-6228	499	4	576:577–588,881	576:577–588,881	PROPN
ejpam-6228	499	5	2021.882	2021.882	PROPN
ejpam-6228	500	1	[	[	X
ejpam-6228	500	2	16	16	NUM
ejpam-6228	500	3	]	]	PUNCT
ejpam-6228	500	4	ahmed	ahme	VERB
ejpam-6228	500	5	a	a	DET
ejpam-6228	500	6	abd	abd	PROPN
ejpam-6228	500	7	el	el	PROPN
ejpam-6228	500	8	-	-	PROPN
ejpam-6228	500	9	latif	latif	PROPN
ejpam-6228	500	10	,	,	PUNCT
ejpam-6228	500	11	bassem	bassem	PROPN
ejpam-6228	500	12	abd	abd	PROPN
ejpam-6228	500	13	-	-	PROPN
ejpam-6228	500	14	el	el	PROPN
ejpam-6228	500	15	-	-	PROPN
ejpam-6228	500	16	atty	atty	PROPN
ejpam-6228	500	17	,	,	PUNCT
ejpam-6228	500	18	and	and	CCONJ
ejpam-6228	500	19	salvador	salvador	PROPN
ejpam-6228	500	20	e	e	PROPN
ejpam-6228	500	21	venegas	venegas	PROPN
ejpam-6228	500	22	-	-	PUNCT
ejpam-6228	500	23	andraca.883	andraca.883	PROPN
ejpam-6228	500	24	controlled	control	VERB
ejpam-6228	500	25	alternate	alternate	ADJ
ejpam-6228	500	26	quantum	quantum	NOUN
ejpam-6228	500	27	walk	walk	NOUN
ejpam-6228	500	28	-	-	PUNCT
ejpam-6228	500	29	based	base	VERB
ejpam-6228	500	30	pseudo	pseudo	NOUN
ejpam-6228	500	31	-	-	ADJ
ejpam-6228	500	32	random	random	ADJ
ejpam-6228	500	33	number	number	NOUN
ejpam-6228	500	34	generator	generator	NOUN
ejpam-6228	500	35	and	and	CCONJ
ejpam-6228	500	36	its884	its884	PROPN
ejpam-6228	500	37	application	application	NOUN
ejpam-6228	500	38	to	to	ADP
ejpam-6228	500	39	quantum	quantum	ADJ
ejpam-6228	500	40	color	color	NOUN
ejpam-6228	500	41	image	image	NOUN
ejpam-6228	500	42	encryption	encryption	NOUN
ejpam-6228	500	43	.	.	PUNCT
ejpam-6228	501	1	physica	physica	PROPN
ejpam-6228	501	2	a	a	DET
ejpam-6228	501	3	:	:	PUNCT
ejpam-6228	501	4	statistical	statistical	ADJ
ejpam-6228	501	5	mechanics	mechanic	NOUN
ejpam-6228	501	6	and885	and885	PROPN
ejpam-6228	501	7	its	its	PRON
ejpam-6228	501	8	applications	application	NOUN
ejpam-6228	501	9	,	,	PUNCT
ejpam-6228	501	10	547:123869	547:123869	NUM
ejpam-6228	501	11	,	,	PUNCT
ejpam-6228	501	12	2020.886	2020.886	NUM
ejpam-6228	502	1	[	[	X
ejpam-6228	502	2	17	17	NUM
ejpam-6228	502	3	]	]	X
ejpam-6228	502	4	saleh	saleh	PROPN
ejpam-6228	502	5	ibrahim	ibrahim	PROPN
ejpam-6228	502	6	and	and	CCONJ
ejpam-6228	502	7	ayman	ayman	PROPN
ejpam-6228	502	8	alharbi	alharbi	PROPN
ejpam-6228	502	9	.	.	PUNCT
ejpam-6228	503	1	efficient	efficient	ADJ
ejpam-6228	503	2	image	image	NOUN
ejpam-6228	503	3	encryption	encryption	NOUN
ejpam-6228	503	4	scheme	scheme	NOUN
ejpam-6228	503	5	using	use	VERB
ejpam-6228	503	6	henon887	henon887	PROPN
ejpam-6228	503	7	map	map	NOUN
ejpam-6228	503	8	,	,	PUNCT
ejpam-6228	503	9	dynamic	dynamic	ADJ
ejpam-6228	503	10	s	s	NOUN
ejpam-6228	503	11	-	-	PUNCT
ejpam-6228	503	12	boxes	box	NOUN
ejpam-6228	503	13	and	and	CCONJ
ejpam-6228	503	14	elliptic	elliptic	ADJ
ejpam-6228	503	15	curve	curve	NOUN
ejpam-6228	503	16	cryptography	cryptography	NOUN
ejpam-6228	503	17	.	.	PUNCT
ejpam-6228	504	1	ieee	ieee	NOUN
ejpam-6228	504	2	access	access	NOUN
ejpam-6228	504	3	,	,	PUNCT
ejpam-6228	504	4	8:194289–888	8:194289–888	NOUN
ejpam-6228	504	5	194302	194302	NUM
ejpam-6228	504	6	,	,	PUNCT
ejpam-6228	504	7	2020.889	2020.889	NUM
ejpam-6228	504	8	[	[	X
ejpam-6228	504	9	18	18	NUM
ejpam-6228	504	10	]	]	X
ejpam-6228	504	11	zeba	zeba	PROPN
ejpam-6228	504	12	shamsi	shamsi	PROPN
ejpam-6228	504	13	and	and	CCONJ
ejpam-6228	504	14	dolendro	dolendro	PROPN
ejpam-6228	504	15	singh	singh	PROPN
ejpam-6228	504	16	laiphrakpam	laiphrakpam	PROPN
ejpam-6228	504	17	.	.	PUNCT
ejpam-6228	505	1	securing	secure	VERB
ejpam-6228	505	2	encrypted	encrypt	VERB
ejpam-6228	505	3	image	image	NOUN
ejpam-6228	505	4	informa-890	informa-890	NOUN
ejpam-6228	505	5	tion	tion	NOUN
ejpam-6228	505	6	in	in	ADP
ejpam-6228	505	7	audio	audio	ADJ
ejpam-6228	505	8	data	datum	NOUN
ejpam-6228	505	9	.	.	PUNCT
ejpam-6228	506	1	multimedia	multimedia	NOUN
ejpam-6228	506	2	tools	tool	NOUN
ejpam-6228	506	3	and	and	CCONJ
ejpam-6228	506	4	applications	application	NOUN
ejpam-6228	506	5	,	,	PUNCT
ejpam-6228	506	6	82(21):33063–33085	82(21):33063–33085	NUM
ejpam-6228	506	7	,	,	PUNCT
ejpam-6228	506	8	2023.891	2023.891	NUM
ejpam-6228	506	9	[	[	X
ejpam-6228	506	10	19	19	NUM
ejpam-6228	506	11	]	]	X
ejpam-6228	506	12	xingyuan	xingyuan	PROPN
ejpam-6228	506	13	wang	wang	PROPN
ejpam-6228	506	14	,	,	PUNCT
ejpam-6228	506	15	le	le	X
ejpam-6228	506	16	feng	feng	X
ejpam-6228	506	17	,	,	PUNCT
ejpam-6228	506	18	and	and	CCONJ
ejpam-6228	506	19	hongyu	hongyu	PROPN
ejpam-6228	506	20	zhao	zhao	PROPN
ejpam-6228	506	21	.	.	PUNCT
ejpam-6228	507	1	fast	fast	ADJ
ejpam-6228	507	2	image	image	NOUN
ejpam-6228	507	3	encryption	encryption	NOUN
ejpam-6228	507	4	algorithm	algorithm	NOUN
ejpam-6228	507	5	based892	based892	PROPN
ejpam-6228	507	6	on	on	ADP
ejpam-6228	507	7	parallel	parallel	ADJ
ejpam-6228	507	8	computing	computing	NOUN
ejpam-6228	507	9	system	system	NOUN
ejpam-6228	507	10	.	.	PUNCT
ejpam-6228	508	1	information	information	NOUN
ejpam-6228	508	2	sciences	sciences	PROPN
ejpam-6228	508	3	,	,	PUNCT
ejpam-6228	508	4	486:340–358	486:340–358	NUM
ejpam-6228	508	5	,	,	PUNCT
ejpam-6228	508	6	2019.893	2019.893	NUM
ejpam-6228	508	7	m.	m.	NOUN
ejpam-6228	508	8	sajjad	sajjad	PROPN
ejpam-6228	508	9	,	,	PUNCT
ejpam-6228	508	10	n.	n.	PROPN
ejpam-6228	508	11	a.	a.	NOUN
ejpam-6228	508	12	alqwaifly	alqwaifly	PROPN
ejpam-6228	508	13	/	/	SYM
ejpam-6228	508	14	eur	eur	PROPN
ejpam-6228	508	15	.	.	PUNCT
ejpam-6228	509	1	j.	j.	PROPN
ejpam-6228	509	2	pure	pure	PROPN
ejpam-6228	509	3	appl	appl	PROPN
ejpam-6228	509	4	.	.	PROPN
ejpam-6228	509	5	math	math	PROPN
ejpam-6228	509	6	,	,	PUNCT
ejpam-6228	509	7	18	18	NUM
ejpam-6228	509	8	(	(	PUNCT
ejpam-6228	509	9	2	2	NUM
ejpam-6228	509	10	)	)	PUNCT
ejpam-6228	509	11	(	(	PUNCT
ejpam-6228	509	12	2025	2025	NUM
ejpam-6228	509	13	)	)	PUNCT
ejpam-6228	509	14	,	,	PUNCT
ejpam-6228	509	15	6228	6228	NUM
ejpam-6228	509	16	34	34	NUM
ejpam-6228	509	17	of	of	ADP
ejpam-6228	509	18	35	35	NUM
ejpam-6228	509	19	[	[	SYM
ejpam-6228	509	20	20	20	NUM
ejpam-6228	509	21	]	]	X
ejpam-6228	509	22	guangfeng	guangfeng	PROPN
ejpam-6228	509	23	cheng	cheng	PROPN
ejpam-6228	509	24	,	,	PUNCT
ejpam-6228	509	25	chunhua	chunhua	PROPN
ejpam-6228	509	26	wang	wang	PROPN
ejpam-6228	509	27	,	,	PUNCT
ejpam-6228	509	28	and	and	CCONJ
ejpam-6228	509	29	hua	hua	PROPN
ejpam-6228	509	30	chen	chen	PROPN
ejpam-6228	509	31	.	.	PUNCT
ejpam-6228	510	1	a	a	DET
ejpam-6228	510	2	novel	novel	ADJ
ejpam-6228	510	3	color	color	NOUN
ejpam-6228	510	4	image	image	NOUN
ejpam-6228	510	5	encryp-894	encryp-894	ADJ
ejpam-6228	510	6	tion	tion	NOUN
ejpam-6228	510	7	algorithm	algorithm	NOUN
ejpam-6228	510	8	based	base	VERB
ejpam-6228	510	9	on	on	ADP
ejpam-6228	510	10	hyperchaotic	hyperchaotic	ADJ
ejpam-6228	510	11	system	system	NOUN
ejpam-6228	510	12	and	and	CCONJ
ejpam-6228	510	13	permutation	permutation	NOUN
ejpam-6228	510	14	-	-	PUNCT
ejpam-6228	510	15	diffusion	diffusion	NOUN
ejpam-6228	510	16	architecture.895	architecture.895	PROPN
ejpam-6228	510	17	international	international	ADJ
ejpam-6228	510	18	journal	journal	NOUN
ejpam-6228	510	19	of	of	ADP
ejpam-6228	510	20	bifurcation	bifurcation	NOUN
ejpam-6228	510	21	and	and	CCONJ
ejpam-6228	510	22	chaos	chaos	NOUN
ejpam-6228	510	23	,	,	PUNCT
ejpam-6228	510	24	29(09):1950115	29(09):1950115	NUM
ejpam-6228	510	25	,	,	PUNCT
ejpam-6228	510	26	2019.896	2019.896	PROPN
ejpam-6228	511	1	[	[	X
ejpam-6228	511	2	21	21	NUM
ejpam-6228	511	3	]	]	X
ejpam-6228	511	4	dania	dania	PROPN
ejpam-6228	511	5	saleem	saleem	PROPN
ejpam-6228	511	6	malik	malik	PROPN
ejpam-6228	511	7	and	and	CCONJ
ejpam-6228	511	8	tariq	tariq	PROPN
ejpam-6228	511	9	shah	shah	PROPN
ejpam-6228	511	10	.	.	PUNCT
ejpam-6228	512	1	color	color	NOUN
ejpam-6228	512	2	multiple	multiple	ADJ
ejpam-6228	512	3	image	image	NOUN
ejpam-6228	512	4	encryption	encryption	NOUN
ejpam-6228	512	5	scheme	scheme	NOUN
ejpam-6228	512	6	based897	based897	PROPN
ejpam-6228	512	7	on	on	ADP
ejpam-6228	512	8	3d	3d	NUM
ejpam-6228	512	9	-	-	PUNCT
ejpam-6228	512	10	chaotic	chaotic	ADJ
ejpam-6228	512	11	maps	map	NOUN
ejpam-6228	512	12	.	.	PUNCT
ejpam-6228	513	1	mathematics	mathematic	NOUN
ejpam-6228	513	2	and	and	CCONJ
ejpam-6228	513	3	computers	computer	NOUN
ejpam-6228	513	4	in	in	ADP
ejpam-6228	513	5	simulation	simulation	NOUN
ejpam-6228	513	6	,	,	PUNCT
ejpam-6228	513	7	178:646–666	178:646–666	NUM
ejpam-6228	513	8	,	,	PUNCT
ejpam-6228	513	9	2020.898	2020.898	PROPN
ejpam-6228	514	1	[	[	X
ejpam-6228	514	2	22	22	NUM
ejpam-6228	514	3	]	]	PUNCT
ejpam-6228	514	4	qi	qi	PROPN
ejpam-6228	514	5	yin	yin	PROPN
ejpam-6228	514	6	and	and	CCONJ
ejpam-6228	514	7	chunhua	chunhua	PROPN
ejpam-6228	514	8	wang	wang	PROPN
ejpam-6228	514	9	.	.	PUNCT
ejpam-6228	515	1	a	a	DET
ejpam-6228	515	2	new	new	ADJ
ejpam-6228	515	3	chaotic	chaotic	ADJ
ejpam-6228	515	4	image	image	NOUN
ejpam-6228	515	5	encryption	encryption	NOUN
ejpam-6228	515	6	scheme	scheme	NOUN
ejpam-6228	515	7	using	use	VERB
ejpam-6228	515	8	breadth-899	breadth-899	NOUN
ejpam-6228	515	9	first	first	ADJ
ejpam-6228	515	10	search	search	NOUN
ejpam-6228	515	11	and	and	CCONJ
ejpam-6228	515	12	dynamic	dynamic	ADJ
ejpam-6228	515	13	diffusion	diffusion	NOUN
ejpam-6228	515	14	.	.	PUNCT
ejpam-6228	516	1	international	international	ADJ
ejpam-6228	516	2	journal	journal	PROPN
ejpam-6228	516	3	of	of	ADP
ejpam-6228	516	4	bifurcation	bifurcation	NOUN
ejpam-6228	516	5	and	and	CCONJ
ejpam-6228	516	6	chaos,900	chaos,900	PROPN
ejpam-6228	516	7	28(04):1850047	28(04):1850047	NUM
ejpam-6228	516	8	,	,	PUNCT
ejpam-6228	516	9	2018.901	2018.901	NUM
ejpam-6228	517	1	[	[	X
ejpam-6228	517	2	23	23	NUM
ejpam-6228	517	3	]	]	X
ejpam-6228	517	4	xing	xing	PROPN
ejpam-6228	517	5	-	-	PUNCT
ejpam-6228	517	6	yuan	yuan	PROPN
ejpam-6228	517	7	wang	wang	PROPN
ejpam-6228	517	8	,	,	PUNCT
ejpam-6228	517	9	ying	ying	PROPN
ejpam-6228	517	10	-	-	PUNCT
ejpam-6228	517	11	qian	qian	PROPN
ejpam-6228	517	12	zhang	zhang	PROPN
ejpam-6228	517	13	,	,	PUNCT
ejpam-6228	517	14	and	and	CCONJ
ejpam-6228	517	15	xue	xue	PROPN
ejpam-6228	517	16	-	-	PUNCT
ejpam-6228	517	17	mei	mei	PROPN
ejpam-6228	517	18	bao	bao	PROPN
ejpam-6228	517	19	.	.	PUNCT
ejpam-6228	518	1	a	a	DET
ejpam-6228	518	2	novel	novel	ADJ
ejpam-6228	518	3	chaotic	chaotic	ADJ
ejpam-6228	518	4	image	image	NOUN
ejpam-6228	518	5	en-902	en-902	NOUN
ejpam-6228	518	6	cryption	cryption	NOUN
ejpam-6228	518	7	scheme	scheme	NOUN
ejpam-6228	518	8	using	use	VERB
ejpam-6228	518	9	dna	dna	PROPN
ejpam-6228	518	10	sequence	sequence	NOUN
ejpam-6228	518	11	operations	operation	NOUN
ejpam-6228	518	12	.	.	PUNCT
ejpam-6228	519	1	optics	optic	NOUN
ejpam-6228	519	2	and	and	CCONJ
ejpam-6228	519	3	lasers	laser	NOUN
ejpam-6228	519	4	in	in	ADP
ejpam-6228	519	5	engineering,903	engineering,903	PROPN
ejpam-6228	519	6	73:53–61	73:53–61	PROPN
ejpam-6228	519	7	,	,	PUNCT
ejpam-6228	519	8	2015.904	2015.904	NUM
ejpam-6228	519	9	[	[	X
ejpam-6228	519	10	24	24	NUM
ejpam-6228	519	11	]	]	X
ejpam-6228	519	12	sicheng	sicheng	PROPN
ejpam-6228	519	13	wang	wang	PROPN
ejpam-6228	519	14	,	,	PUNCT
ejpam-6228	519	15	chunhua	chunhua	PROPN
ejpam-6228	519	16	wang	wang	PROPN
ejpam-6228	519	17	,	,	PUNCT
ejpam-6228	519	18	and	and	CCONJ
ejpam-6228	519	19	cong	cong	VERB
ejpam-6228	519	20	xu	xu	PROPN
ejpam-6228	519	21	.	.	PUNCT
ejpam-6228	520	1	an	an	DET
ejpam-6228	520	2	image	image	NOUN
ejpam-6228	520	3	encryption	encryption	NOUN
ejpam-6228	520	4	algorithm	algorithm	NOUN
ejpam-6228	520	5	based905	based905	VERB
ejpam-6228	520	6	on	on	ADP
ejpam-6228	520	7	a	a	DET
ejpam-6228	520	8	hidden	hide	VERB
ejpam-6228	520	9	attractor	attractor	NOUN
ejpam-6228	520	10	chaos	chaos	NOUN
ejpam-6228	520	11	system	system	NOUN
ejpam-6228	520	12	and	and	CCONJ
ejpam-6228	520	13	the	the	DET
ejpam-6228	520	14	knuth	knuth	PROPN
ejpam-6228	520	15	–	–	PUNCT
ejpam-6228	520	16	durstenfeld	durstenfeld	NOUN
ejpam-6228	520	17	algorithm	algorithm	NOUN
ejpam-6228	520	18	.	.	PUNCT
ejpam-6228	521	1	optics	optic	NOUN
ejpam-6228	521	2	and906	and906	NOUN
ejpam-6228	521	3	lasers	laser	NOUN
ejpam-6228	521	4	in	in	ADP
ejpam-6228	521	5	engineering	engineering	NOUN
ejpam-6228	521	6	,	,	PUNCT
ejpam-6228	521	7	128:105995	128:105995	NUM
ejpam-6228	521	8	,	,	PUNCT
ejpam-6228	521	9	2020.907	2020.907	PROPN
ejpam-6228	522	1	[	[	X
ejpam-6228	522	2	25	25	NUM
ejpam-6228	522	3	]	]	X
ejpam-6228	522	4	minjun	minjun	PROPN
ejpam-6228	522	5	zhou	zhou	PROPN
ejpam-6228	522	6	and	and	CCONJ
ejpam-6228	522	7	chunhua	chunhua	PROPN
ejpam-6228	522	8	wang	wang	PROPN
ejpam-6228	522	9	.	.	PUNCT
ejpam-6228	523	1	a	a	DET
ejpam-6228	523	2	novel	novel	ADJ
ejpam-6228	523	3	image	image	NOUN
ejpam-6228	523	4	encryption	encryption	NOUN
ejpam-6228	523	5	scheme	scheme	NOUN
ejpam-6228	523	6	based	base	VERB
ejpam-6228	523	7	on	on	ADP
ejpam-6228	523	8	con-908	con-908	NOUN
ejpam-6228	523	9	servative	servative	ADJ
ejpam-6228	523	10	hyperchaotic	hyperchaotic	ADJ
ejpam-6228	523	11	system	system	NOUN
ejpam-6228	523	12	and	and	CCONJ
ejpam-6228	523	13	closed	closed	ADJ
ejpam-6228	523	14	-	-	PUNCT
ejpam-6228	523	15	loop	loop	NOUN
ejpam-6228	523	16	diffusion	diffusion	NOUN
ejpam-6228	523	17	between	between	ADP
ejpam-6228	523	18	blocks	block	NOUN
ejpam-6228	523	19	.	.	PUNCT
ejpam-6228	524	1	signal	signal	PROPN
ejpam-6228	524	2	pro-909	pro-909	PROPN
ejpam-6228	524	3	cessing	cesse	VERB
ejpam-6228	524	4	,	,	PUNCT
ejpam-6228	524	5	171:107484	171:107484	NUM
ejpam-6228	524	6	,	,	PUNCT
ejpam-6228	524	7	2020.910	2020.910	NUM
ejpam-6228	524	8	[	[	SYM
ejpam-6228	524	9	26	26	NUM
ejpam-6228	524	10	]	]	PUNCT
ejpam-6228	524	11	xing	xing	PROPN
ejpam-6228	524	12	-	-	PUNCT
ejpam-6228	524	13	yuan	yuan	PROPN
ejpam-6228	524	14	wang	wang	PROPN
ejpam-6228	524	15	and	and	CCONJ
ejpam-6228	524	16	zhi	zhi	PROPN
ejpam-6228	524	17	-	-	PUNCT
ejpam-6228	524	18	ming	ming	PROPN
ejpam-6228	524	19	li	li	PROPN
ejpam-6228	524	20	.	.	PUNCT
ejpam-6228	525	1	a	a	DET
ejpam-6228	525	2	color	color	NOUN
ejpam-6228	525	3	image	image	NOUN
ejpam-6228	525	4	encryption	encryption	NOUN
ejpam-6228	525	5	algorithm	algorithm	NOUN
ejpam-6228	525	6	based	base	VERB
ejpam-6228	525	7	on911	on911	PROPN
ejpam-6228	525	8	hopfield	hopfield	ADJ
ejpam-6228	525	9	chaotic	chaotic	ADJ
ejpam-6228	525	10	neural	neural	ADJ
ejpam-6228	525	11	network	network	NOUN
ejpam-6228	525	12	.	.	PUNCT
ejpam-6228	526	1	optics	optic	NOUN
ejpam-6228	526	2	and	and	CCONJ
ejpam-6228	526	3	lasers	laser	NOUN
ejpam-6228	526	4	in	in	ADP
ejpam-6228	526	5	engineering	engineering	NOUN
ejpam-6228	526	6	,	,	PUNCT
ejpam-6228	526	7	115:107–118,912	115:107–118,912	PROPN
ejpam-6228	526	8	2019.913	2019.913	NUM
ejpam-6228	527	1	[	[	X
ejpam-6228	527	2	27	27	NUM
ejpam-6228	527	3	]	]	X
ejpam-6228	527	4	xingyuan	xingyuan	PROPN
ejpam-6228	527	5	wang	wang	PROPN
ejpam-6228	527	6	and	and	CCONJ
ejpam-6228	527	7	suo	suo	PROPN
ejpam-6228	527	8	gao	gao	PROPN
ejpam-6228	527	9	.	.	PUNCT
ejpam-6228	528	1	image	image	NOUN
ejpam-6228	528	2	encryption	encryption	NOUN
ejpam-6228	528	3	algorithm	algorithm	NOUN
ejpam-6228	528	4	for	for	ADP
ejpam-6228	528	5	synchronously	synchronously	ADV
ejpam-6228	528	6	up-914	up-914	PUNCT
ejpam-6228	528	7	dating	date	VERB
ejpam-6228	528	8	boolean	boolean	ADJ
ejpam-6228	528	9	networks	network	NOUN
ejpam-6228	528	10	based	base	VERB
ejpam-6228	528	11	on	on	ADP
ejpam-6228	528	12	matrix	matrix	NOUN
ejpam-6228	528	13	semi	semi	ADJ
ejpam-6228	528	14	-	-	ADJ
ejpam-6228	528	15	tensor	tensor	ADJ
ejpam-6228	528	16	product	product	NOUN
ejpam-6228	528	17	theory	theory	NOUN
ejpam-6228	528	18	.	.	PUNCT
ejpam-6228	529	1	information915	information915	PROPN
ejpam-6228	529	2	sciences	sciences	PROPN
ejpam-6228	529	3	,	,	PUNCT
ejpam-6228	529	4	507:16–36	507:16–36	NUM
ejpam-6228	529	5	,	,	PUNCT
ejpam-6228	529	6	2020.916	2020.916	PROPN
ejpam-6228	529	7	[	[	X
ejpam-6228	529	8	28	28	NUM
ejpam-6228	529	9	]	]	X
ejpam-6228	529	10	wei	wei	PROPN
ejpam-6228	529	11	liu	liu	PROPN
ejpam-6228	529	12	,	,	PUNCT
ejpam-6228	529	13	zhenwei	zhenwei	PROPN
ejpam-6228	529	14	xie	xie	PROPN
ejpam-6228	529	15	,	,	PUNCT
ejpam-6228	529	16	zhengjun	zhengjun	PROPN
ejpam-6228	529	17	liu	liu	PROPN
ejpam-6228	529	18	,	,	PUNCT
ejpam-6228	529	19	yan	yan	PROPN
ejpam-6228	529	20	zhang	zhang	PROPN
ejpam-6228	529	21	,	,	PUNCT
ejpam-6228	529	22	and	and	CCONJ
ejpam-6228	529	23	shutian	shutian	PROPN
ejpam-6228	529	24	liu	liu	PROPN
ejpam-6228	529	25	.	.	PUNCT
ejpam-6228	530	1	multiple	multiple	ADJ
ejpam-6228	530	2	-	-	PUNCT
ejpam-6228	530	3	image917	image917	NOUN
ejpam-6228	530	4	encryption	encryption	NOUN
ejpam-6228	530	5	based	base	VERB
ejpam-6228	530	6	on	on	ADP
ejpam-6228	530	7	optical	optical	ADJ
ejpam-6228	530	8	asymmetric	asymmetric	ADJ
ejpam-6228	530	9	key	key	ADJ
ejpam-6228	530	10	cryptosystem	cryptosystem	NOUN
ejpam-6228	530	11	.	.	PUNCT
ejpam-6228	531	1	optics	optic	NOUN
ejpam-6228	531	2	communications,918	communications,918	PROPN
ejpam-6228	531	3	335:205–211	335:205–211	NUM
ejpam-6228	531	4	,	,	PUNCT
ejpam-6228	531	5	2015.919	2015.919	PROPN
ejpam-6228	531	6	[	[	X
ejpam-6228	531	7	29	29	NUM
ejpam-6228	531	8	]	]	X
ejpam-6228	531	9	y	y	PROPN
ejpam-6228	531	10	xiong	xiong	PROPN
ejpam-6228	531	11	,	,	PUNCT
ejpam-6228	531	12	c	c	PROPN
ejpam-6228	531	13	quan	quan	PROPN
ejpam-6228	531	14	,	,	PUNCT
ejpam-6228	531	15	and	and	CCONJ
ejpam-6228	531	16	cj	cj	PROPN
ejpam-6228	531	17	tay	tay	PROPN
ejpam-6228	531	18	.	.	PUNCT
ejpam-6228	532	1	multiple	multiple	ADJ
ejpam-6228	532	2	image	image	NOUN
ejpam-6228	532	3	encryption	encryption	NOUN
ejpam-6228	532	4	scheme	scheme	NOUN
ejpam-6228	532	5	based	base	VERB
ejpam-6228	532	6	on	on	ADP
ejpam-6228	532	7	pixel920	pixel920	PROPN
ejpam-6228	532	8	exchange	exchange	NOUN
ejpam-6228	532	9	operation	operation	NOUN
ejpam-6228	532	10	and	and	CCONJ
ejpam-6228	532	11	vector	vector	NOUN
ejpam-6228	532	12	decomposition	decomposition	NOUN
ejpam-6228	532	13	.	.	PUNCT
ejpam-6228	533	1	optics	optic	NOUN
ejpam-6228	533	2	and	and	CCONJ
ejpam-6228	533	3	lasers	laser	NOUN
ejpam-6228	533	4	in	in	ADP
ejpam-6228	533	5	engineering,921	engineering,921	NOUN
ejpam-6228	533	6	101:113–121	101:113–121	NUM
ejpam-6228	533	7	,	,	PUNCT
ejpam-6228	533	8	2018.922	2018.922	NUM
ejpam-6228	533	9	[	[	SYM
ejpam-6228	533	10	30	30	NUM
ejpam-6228	533	11	]	]	X
ejpam-6228	533	12	pingke	pingke	PROPN
ejpam-6228	533	13	deng	deng	PROPN
ejpam-6228	533	14	,	,	PUNCT
ejpam-6228	533	15	ming	ming	PROPN
ejpam-6228	533	16	diao	diao	PROPN
ejpam-6228	533	17	,	,	PUNCT
ejpam-6228	533	18	mingguang	mingguang	PROPN
ejpam-6228	533	19	shan	shan	PROPN
ejpam-6228	533	20	,	,	PUNCT
ejpam-6228	533	21	zhi	zhi	PROPN
ejpam-6228	533	22	zhong	zhong	PROPN
ejpam-6228	533	23	,	,	PUNCT
ejpam-6228	533	24	and	and	CCONJ
ejpam-6228	533	25	yabin	yabin	PROPN
ejpam-6228	533	26	zhang	zhang	PROPN
ejpam-6228	533	27	.	.	PUNCT
ejpam-6228	534	1	multiple-923	multiple-923	ADJ
ejpam-6228	534	2	image	image	NOUN
ejpam-6228	534	3	encryption	encryption	NOUN
ejpam-6228	534	4	using	use	VERB
ejpam-6228	534	5	spectral	spectral	ADJ
ejpam-6228	534	6	cropping	cropping	NOUN
ejpam-6228	534	7	and	and	CCONJ
ejpam-6228	534	8	spatial	spatial	ADJ
ejpam-6228	534	9	multiplexing	multiplexing	NOUN
ejpam-6228	534	10	.	.	PUNCT
ejpam-6228	535	1	optics	optic	NOUN
ejpam-6228	535	2	commu-924	commu-924	NOUN
ejpam-6228	535	3	nications	nication	NOUN
ejpam-6228	535	4	,	,	PUNCT
ejpam-6228	535	5	359:234–239	359:234–239	NUM
ejpam-6228	535	6	,	,	PUNCT
ejpam-6228	535	7	2016.925	2016.925	NUM
ejpam-6228	535	8	[	[	X
ejpam-6228	535	9	31	31	NUM
ejpam-6228	535	10	]	]	X
ejpam-6228	535	11	chun	chun	PROPN
ejpam-6228	535	12	-	-	PUNCT
ejpam-6228	535	13	lai	lai	PROPN
ejpam-6228	535	14	li	li	PROPN
ejpam-6228	535	15	,	,	PUNCT
ejpam-6228	535	16	hong	hong	PROPN
ejpam-6228	535	17	-	-	PUNCT
ejpam-6228	535	18	min	min	NOUN
ejpam-6228	535	19	li	li	PROPN
ejpam-6228	535	20	,	,	PUNCT
ejpam-6228	535	21	fu	fu	ADJ
ejpam-6228	535	22	-	-	PUNCT
ejpam-6228	535	23	dong	dong	PROPN
ejpam-6228	535	24	li	li	PROPN
ejpam-6228	535	25	,	,	PUNCT
ejpam-6228	535	26	du	du	PROPN
ejpam-6228	535	27	-	-	PROPN
ejpam-6228	535	28	qu	qu	PROPN
ejpam-6228	535	29	wei	wei	PROPN
ejpam-6228	535	30	,	,	PUNCT
ejpam-6228	535	31	xuan	xuan	PROPN
ejpam-6228	535	32	-	-	PUNCT
ejpam-6228	535	33	bing	bing	PROPN
ejpam-6228	535	34	yang	yang	PROPN
ejpam-6228	535	35	,	,	PUNCT
ejpam-6228	535	36	and	and	CCONJ
ejpam-6228	535	37	jing926	jing926	PROPN
ejpam-6228	535	38	zhang	zhang	PROPN
ejpam-6228	535	39	.	.	PUNCT
ejpam-6228	536	1	multiple	multiple	ADJ
ejpam-6228	536	2	-	-	PUNCT
ejpam-6228	536	3	image	image	NOUN
ejpam-6228	536	4	encryption	encryption	NOUN
ejpam-6228	536	5	by	by	ADP
ejpam-6228	536	6	using	use	VERB
ejpam-6228	536	7	robust	robust	ADJ
ejpam-6228	536	8	chaotic	chaotic	ADJ
ejpam-6228	536	9	map	map	NOUN
ejpam-6228	536	10	in	in	ADP
ejpam-6228	536	11	wavelet	wavelet	NOUN
ejpam-6228	536	12	transform927	transform927	PROPN
ejpam-6228	536	13	domain	domain	NOUN
ejpam-6228	536	14	.	.	PUNCT
ejpam-6228	537	1	optik	optik	PROPN
ejpam-6228	537	2	,	,	PUNCT
ejpam-6228	537	3	171:277–286	171:277–286	NUM
ejpam-6228	537	4	,	,	PUNCT
ejpam-6228	537	5	2018.928	2018.928	NUM
ejpam-6228	538	1	[	[	X
ejpam-6228	538	2	32	32	NUM
ejpam-6228	538	3	]	]	PUNCT
ejpam-6228	538	4	xiaoqiang	xiaoqiang	PROPN
ejpam-6228	538	5	zhang	zhang	PROPN
ejpam-6228	538	6	and	and	CCONJ
ejpam-6228	538	7	xuesong	xuesong	PROPN
ejpam-6228	538	8	wang	wang	PROPN
ejpam-6228	539	1	.	.	PUNCT
ejpam-6228	540	1	multiple	multiple	ADJ
ejpam-6228	540	2	-	-	PUNCT
ejpam-6228	540	3	image	image	NOUN
ejpam-6228	540	4	encryption	encryption	NOUN
ejpam-6228	540	5	algorithm	algorithm	NOUN
ejpam-6228	540	6	based	base	VERB
ejpam-6228	540	7	on929	on929	PROPN
ejpam-6228	540	8	the	the	DET
ejpam-6228	540	9	3d	3d	PROPN
ejpam-6228	540	10	permutation	permutation	NOUN
ejpam-6228	540	11	model	model	NOUN
ejpam-6228	540	12	and	and	CCONJ
ejpam-6228	540	13	chaotic	chaotic	ADJ
ejpam-6228	540	14	system	system	NOUN
ejpam-6228	540	15	.	.	PUNCT
ejpam-6228	541	1	symmetry	symmetry	NOUN
ejpam-6228	541	2	,	,	PUNCT
ejpam-6228	541	3	10(11):660	10(11):660	NUM
ejpam-6228	541	4	,	,	PUNCT
ejpam-6228	541	5	2018.930	2018.930	NUM
ejpam-6228	542	1	[	[	X
ejpam-6228	542	2	33	33	NUM
ejpam-6228	542	3	]	]	PUNCT
ejpam-6228	542	4	xiaoqiang	xiaoqiang	PROPN
ejpam-6228	542	5	zhang	zhang	PROPN
ejpam-6228	542	6	and	and	CCONJ
ejpam-6228	542	7	xuesong	xuesong	PROPN
ejpam-6228	542	8	wang	wang	PROPN
ejpam-6228	542	9	.	.	PUNCT
ejpam-6228	543	1	multiple	multiple	ADJ
ejpam-6228	543	2	-	-	PUNCT
ejpam-6228	543	3	image	image	NOUN
ejpam-6228	543	4	encryption	encryption	NOUN
ejpam-6228	543	5	algorithm	algorithm	NOUN
ejpam-6228	543	6	based	base	VERB
ejpam-6228	543	7	on931	on931	PROPN
ejpam-6228	543	8	dna	dna	NOUN
ejpam-6228	543	9	encoding	encoding	NOUN
ejpam-6228	543	10	and	and	CCONJ
ejpam-6228	543	11	chaotic	chaotic	ADJ
ejpam-6228	543	12	system	system	NOUN
ejpam-6228	543	13	.	.	PUNCT
ejpam-6228	544	1	multimedia	multimedia	NOUN
ejpam-6228	544	2	tools	tool	NOUN
ejpam-6228	544	3	and	and	CCONJ
ejpam-6228	544	4	applications	application	NOUN
ejpam-6228	544	5	,	,	PUNCT
ejpam-6228	544	6	78(6):7841–932	78(6):7841–932	NUM
ejpam-6228	544	7	7869	7869	NUM
ejpam-6228	544	8	,	,	PUNCT
ejpam-6228	544	9	2019.933	2019.933	PROPN
ejpam-6228	545	1	[	[	X
ejpam-6228	545	2	34	34	NUM
ejpam-6228	545	3	]	]	PUNCT
ejpam-6228	545	4	muhammad	muhammad	PROPN
ejpam-6228	545	5	sajjad	sajjad	PROPN
ejpam-6228	545	6	,	,	PUNCT
ejpam-6228	545	7	tariq	tariq	PROPN
ejpam-6228	545	8	shah	shah	PROPN
ejpam-6228	545	9	,	,	PUNCT
ejpam-6228	545	10	rafik	rafik	PROPN
ejpam-6228	545	11	hamza	hamza	PROPN
ejpam-6228	545	12	,	,	PUNCT
ejpam-6228	545	13	bander	bander	NOUN
ejpam-6228	545	14	almutairi	almutairi	NOUN
ejpam-6228	545	15	,	,	PUNCT
ejpam-6228	545	16	and	and	CCONJ
ejpam-6228	545	17	robinson	robinson	PROPN
ejpam-6228	545	18	ju-934	ju-934	PROPN
ejpam-6228	545	19	lian	lian	PROPN
ejpam-6228	545	20	serna	serna	PROPN
ejpam-6228	545	21	.	.	PUNCT
ejpam-6228	546	1	multiple	multiple	ADJ
ejpam-6228	546	2	color	color	NOUN
ejpam-6228	546	3	images	image	NOUN
ejpam-6228	546	4	security	security	NOUN
ejpam-6228	546	5	by	by	ADP
ejpam-6228	546	6	spn	spn	PROPN
ejpam-6228	546	7	over	over	ADP
ejpam-6228	546	8	the	the	DET
ejpam-6228	546	9	residue	residue	NOUN
ejpam-6228	546	10	classes	class	NOUN
ejpam-6228	546	11	of	of	ADP
ejpam-6228	546	12	gaussian935	gaussian935	PROPN
ejpam-6228	546	13	integer	integer	NOUN
ejpam-6228	546	14	.	.	PUNCT
ejpam-6228	547	1	scientific	scientific	ADJ
ejpam-6228	547	2	reports	report	NOUN
ejpam-6228	547	3	,	,	PUNCT
ejpam-6228	547	4	15(1):6425	15(1):6425	NUM
ejpam-6228	547	5	,	,	PUNCT
ejpam-6228	547	6	2025.936	2025.936	NUM
ejpam-6228	547	7	m.	m.	NOUN
ejpam-6228	547	8	sajjad	sajjad	PROPN
ejpam-6228	547	9	,	,	PUNCT
ejpam-6228	547	10	n.	n.	PROPN
ejpam-6228	547	11	a.	a.	NOUN
ejpam-6228	547	12	alqwaifly	alqwaifly	PROPN
ejpam-6228	547	13	/	/	SYM
ejpam-6228	547	14	eur	eur	PROPN
ejpam-6228	547	15	.	.	PUNCT
ejpam-6228	548	1	j.	j.	PROPN
ejpam-6228	548	2	pure	pure	PROPN
ejpam-6228	548	3	appl	appl	PROPN
ejpam-6228	548	4	.	.	PROPN
ejpam-6228	548	5	math	math	PROPN
ejpam-6228	548	6	,	,	PUNCT
ejpam-6228	548	7	18	18	NUM
ejpam-6228	548	8	(	(	PUNCT
ejpam-6228	548	9	2	2	NUM
ejpam-6228	548	10	)	)	PUNCT
ejpam-6228	548	11	(	(	PUNCT
ejpam-6228	548	12	2025	2025	NUM
ejpam-6228	548	13	)	)	PUNCT
ejpam-6228	548	14	,	,	PUNCT
ejpam-6228	548	15	6228	6228	NUM
ejpam-6228	548	16	35	35	NUM
ejpam-6228	548	17	of	of	ADP
ejpam-6228	548	18	35	35	NUM
ejpam-6228	548	19	[	[	SYM
ejpam-6228	548	20	35	35	NUM
ejpam-6228	548	21	]	]	X
ejpam-6228	548	22	hongjun	hongjun	PROPN
ejpam-6228	548	23	liu	liu	PROPN
ejpam-6228	548	24	,	,	PUNCT
ejpam-6228	548	25	jian	jian	PROPN
ejpam-6228	548	26	liu	liu	PROPN
ejpam-6228	548	27	,	,	PUNCT
ejpam-6228	548	28	and	and	CCONJ
ejpam-6228	548	29	chao	chao	PROPN
ejpam-6228	548	30	ma	ma	PROPN
ejpam-6228	548	31	.	.	PUNCT
ejpam-6228	549	1	constructing	construct	VERB
ejpam-6228	549	2	dynamic	dynamic	ADJ
ejpam-6228	549	3	strong	strong	ADJ
ejpam-6228	549	4	s	s	NOUN
ejpam-6228	549	5	-	-	NOUN
ejpam-6228	549	6	box	box	NOUN
ejpam-6228	549	7	using	use	VERB
ejpam-6228	549	8	3d937	3d937	NUM
ejpam-6228	549	9	chaotic	chaotic	ADJ
ejpam-6228	549	10	map	map	NOUN
ejpam-6228	549	11	and	and	CCONJ
ejpam-6228	549	12	application	application	NOUN
ejpam-6228	549	13	to	to	ADP
ejpam-6228	549	14	image	image	NOUN
ejpam-6228	549	15	encryption	encryption	NOUN
ejpam-6228	549	16	.	.	PUNCT
ejpam-6228	550	1	multimedia	multimedia	NOUN
ejpam-6228	550	2	tools	tool	NOUN
ejpam-6228	550	3	and	and	CCONJ
ejpam-6228	550	4	applications,938	applications,938	PROPN
ejpam-6228	550	5	82(16):23899–23914	82(16):23899–23914	NUM
ejpam-6228	550	6	,	,	PUNCT
ejpam-6228	550	7	2023.939	2023.939	NUM
ejpam-6228	551	1	[	[	X
ejpam-6228	551	2	36	36	NUM
ejpam-6228	551	3	]	]	X
ejpam-6228	551	4	lingfeng	lingfeng	PROPN
ejpam-6228	551	5	qu	qu	PROPN
ejpam-6228	551	6	,	,	PUNCT
ejpam-6228	551	7	fan	fan	PROPN
ejpam-6228	551	8	chen	chen	PROPN
ejpam-6228	551	9	,	,	PUNCT
ejpam-6228	551	10	shanjun	shanjun	PROPN
ejpam-6228	551	11	zhang	zhang	PROPN
ejpam-6228	551	12	,	,	PUNCT
ejpam-6228	551	13	and	and	CCONJ
ejpam-6228	551	14	hongjie	hongjie	ADV
ejpam-6228	551	15	he	he	PRON
ejpam-6228	551	16	.	.	PUNCT
ejpam-6228	552	1	cryptanalysis	cryptanalysis	NOUN
ejpam-6228	552	2	of	of	ADP
ejpam-6228	552	3	reversible940	reversible940	PROPN
ejpam-6228	552	4	data	datum	NOUN
ejpam-6228	552	5	hiding	hide	VERB
ejpam-6228	552	6	in	in	ADP
ejpam-6228	552	7	encrypted	encrypt	VERB
ejpam-6228	552	8	images	image	NOUN
ejpam-6228	552	9	by	by	ADP
ejpam-6228	552	10	block	block	NOUN
ejpam-6228	552	11	permutation	permutation	NOUN
ejpam-6228	552	12	and	and	CCONJ
ejpam-6228	552	13	co	co	NOUN
ejpam-6228	552	14	-	-	NOUN
ejpam-6228	552	15	modulation	modulation	NOUN
ejpam-6228	552	16	.	.	PUNCT
ejpam-6228	553	1	ieee941	ieee941	PROPN
ejpam-6228	553	2	transactions	transaction	NOUN
ejpam-6228	553	3	on	on	ADP
ejpam-6228	553	4	multimedia	multimedia	NOUN
ejpam-6228	553	5	,	,	PUNCT
ejpam-6228	553	6	24:2924–2937	24:2924–2937	NUM
ejpam-6228	553	7	,	,	PUNCT
ejpam-6228	553	8	2021.942	2021.942	NUM