id	sid	tid	token	lemma	pos
cana-4145	1	1	communications	communication	NOUN
cana-4145	1	2	on	on	ADP
cana-4145	1	3	applied	apply	VERB
cana-4145	1	4	nonlinear	nonlinear	ADJ
cana-4145	1	5	analysis	analysis	NOUN
cana-4145	1	6	issn	issn	NOUN
cana-4145	1	7	:	:	PUNCT
cana-4145	1	8	1074	1074	NUM
cana-4145	1	9	-	-	PUNCT
cana-4145	1	10	133x	133x	NUM
cana-4145	1	11	vol	vol	NOUN
cana-4145	1	12	x	x	NOUN
cana-4145	1	13	no	no	INTJ
cana-4145	1	14	.	.	PUNCT
cana-4145	2	1	y	y	PROPN
cana-4145	2	2	(	(	PUNCT
cana-4145	2	3	2025	2025	NUM
cana-4145	2	4	)	)	PUNCT
cana-4145	2	5	1348	1348	NUM
cana-4145	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4145	2	7	image	image	NOUN
cana-4145	2	8	encryption	encryption	NOUN
cana-4145	2	9	and	and	CCONJ
cana-4145	2	10	decryption	decryption	NOUN
cana-4145	2	11	algorithm	algorithm	NOUN
cana-4145	2	12	based	base	VERB
cana-4145	2	13	on	on	ADP
cana-4145	2	14	chaotic	chaotic	ADJ
cana-4145	2	15	systems	system	NOUN
cana-4145	2	16	and	and	CCONJ
cana-4145	2	17	rsa	rsa	PROPN
cana-4145	2	18	cryptography	cryptography	NOUN
cana-4145	2	19	arabind	arabind	NOUN
cana-4145	2	20	kumar1,a	kumar1,a	PROPN
cana-4145	2	21	)	)	PUNCT
cana-4145	2	22	,	,	PUNCT
cana-4145	2	23	sanjay	sanjay	PROPN
cana-4145	2	24	yadav2,b	yadav2,b	PROPN
cana-4145	2	25	)	)	PUNCT
cana-4145	2	26	,	,	PUNCT
cana-4145	2	27	rajni	rajni	NOUN
cana-4145	2	28	rohila3,c	rohila3,c	PROPN
cana-4145	2	29	)	)	PUNCT
cana-4145	2	30	1&3	1&3	NUM
cana-4145	2	31	department	department	PROPN
cana-4145	2	32	of	of	ADP
cana-4145	2	33	applied	apply	VERB
cana-4145	2	34	sciences	science	NOUN
cana-4145	2	35	the	the	DET
cana-4145	2	36	northcap	northcap	PROPN
cana-4145	2	37	university	university	PROPN
cana-4145	2	38	gurugram	gurugram	PROPN
cana-4145	2	39	,	,	PUNCT
cana-4145	2	40	india	india	PROPN
cana-4145	2	41	2alliance	2alliance	NUM
cana-4145	2	42	school	school	NOUN
cana-4145	2	43	of	of	ADP
cana-4145	2	44	applied	apply	VERB
cana-4145	2	45	mathematics	mathematic	NOUN
cana-4145	2	46	,	,	PUNCT
cana-4145	2	47	alliance	alliance	NOUN
cana-4145	2	48	university	university	NOUN
cana-4145	2	49	bangalore	bangalore	NOUN
cana-4145	2	50	,	,	PUNCT
cana-4145	2	51	india	india	PROPN
cana-4145	2	52	aarabind20asd003@ncuindia.edu	aarabind20asd003@ncuindia.edu	PROPN
cana-4145	2	53	bsanjay.yadav@alliance.edu.in	bsanjay.yadav@alliance.edu.in	PROPN
cana-4145	3	1	crajnirohila@ncuindia.edu	crajnirohila@ncuindia.edu	PROPN
cana-4145	3	2	*	*	PUNCT
cana-4145	3	3	corresponding	correspond	VERB
cana-4145	3	4	author	author	NOUN
cana-4145	3	5	sanjay	sanjay	PROPN
cana-4145	3	6	yadav	yadav	PROPN
cana-4145	3	7	article	article	PROPN
cana-4145	3	8	history	history	NOUN
cana-4145	3	9	:	:	PUNCT
cana-4145	3	10	received	receive	VERB
cana-4145	3	11	:	:	PUNCT
cana-4145	3	12	12	12	NUM
cana-4145	3	13	-	-	SYM
cana-4145	3	14	01	01	NUM
cana-4145	3	15	-	-	PUNCT
cana-4145	3	16	2025	2025	NUM
cana-4145	3	17	revised	revise	VERB
cana-4145	3	18	:	:	PUNCT
cana-4145	3	19	15	15	NUM
cana-4145	3	20	-	-	NUM
cana-4145	3	21	02	02	NUM
cana-4145	3	22	-	-	PUNCT
cana-4145	3	23	2025	2025	NUM
cana-4145	3	24	accepted	accept	VERB
cana-4145	3	25	:	:	PUNCT
cana-4145	3	26	01	01	NUM
cana-4145	3	27	-	-	SYM
cana-4145	3	28	03	03	NUM
cana-4145	3	29	-	-	PUNCT
cana-4145	3	30	2025	2025	NUM
cana-4145	3	31	abstract	abstract	NOUN
cana-4145	3	32	:	:	PUNCT
cana-4145	3	33	this	this	DET
cana-4145	3	34	paper	paper	NOUN
cana-4145	3	35	presents	present	VERB
cana-4145	3	36	a	a	DET
cana-4145	3	37	novel	novel	ADJ
cana-4145	3	38	image	image	NOUN
cana-4145	3	39	encryption	encryption	NOUN
cana-4145	3	40	and	and	CCONJ
cana-4145	3	41	decryption	decryption	NOUN
cana-4145	3	42	algorithm	algorithm	NOUN
cana-4145	3	43	that	that	PRON
cana-4145	3	44	combines	combine	VERB
cana-4145	3	45	chaotic	chaotic	ADJ
cana-4145	3	46	systems	system	NOUN
cana-4145	3	47	and	and	CCONJ
cana-4145	3	48	rsa	rsa	PROPN
cana-4145	3	49	cryptography	cryptography	NOUN
cana-4145	3	50	to	to	PART
cana-4145	3	51	enhance	enhance	VERB
cana-4145	3	52	the	the	DET
cana-4145	3	53	security	security	NOUN
cana-4145	3	54	of	of	ADP
cana-4145	3	55	digital	digital	ADJ
cana-4145	3	56	images	image	NOUN
cana-4145	3	57	.	.	PUNCT
cana-4145	4	1	in	in	ADP
cana-4145	4	2	this	this	DET
cana-4145	4	3	hybrid	hybrid	ADJ
cana-4145	4	4	approach	approach	NOUN
cana-4145	4	5	,	,	PUNCT
cana-4145	4	6	a	a	DET
cana-4145	4	7	chaotic	chaotic	ADJ
cana-4145	4	8	system	system	NOUN
cana-4145	4	9	generates	generate	VERB
cana-4145	4	10	a	a	DET
cana-4145	4	11	pseudo	pseudo	NOUN
cana-4145	4	12	-	-	ADJ
cana-4145	4	13	random	random	ADJ
cana-4145	4	14	key	key	NOUN
cana-4145	4	15	for	for	ADP
cana-4145	4	16	pixel	pixel	ADJ
cana-4145	4	17	-	-	PUNCT
cana-4145	4	18	level	level	NOUN
cana-4145	4	19	encryption	encryption	NOUN
cana-4145	4	20	,	,	PUNCT
cana-4145	4	21	while	while	SCONJ
cana-4145	4	22	rsa	rsa	PROPN
cana-4145	4	23	cryptography	cryptography	NOUN
cana-4145	4	24	is	be	AUX
cana-4145	4	25	employed	employ	VERB
cana-4145	4	26	to	to	PART
cana-4145	4	27	securely	securely	ADV
cana-4145	4	28	exchange	exchange	VERB
cana-4145	4	29	the	the	DET
cana-4145	4	30	encryption	encryption	NOUN
cana-4145	4	31	key	key	NOUN
cana-4145	4	32	between	between	ADP
cana-4145	4	33	the	the	DET
cana-4145	4	34	sender	sender	NOUN
cana-4145	4	35	and	and	CCONJ
cana-4145	4	36	receiver	receiver	NOUN
cana-4145	4	37	.	.	PUNCT
cana-4145	5	1	the	the	DET
cana-4145	5	2	proposed	propose	VERB
cana-4145	5	3	algorithm	algorithm	NOUN
cana-4145	5	4	leverages	leverage	VERB
cana-4145	5	5	the	the	DET
cana-4145	5	6	unpredictability	unpredictability	NOUN
cana-4145	5	7	and	and	CCONJ
cana-4145	5	8	sensitivity	sensitivity	NOUN
cana-4145	5	9	of	of	ADP
cana-4145	5	10	chaotic	chaotic	ADJ
cana-4145	5	11	systems	system	NOUN
cana-4145	5	12	to	to	PART
cana-4145	5	13	obfuscate	obfuscate	VERB
cana-4145	5	14	image	image	NOUN
cana-4145	5	15	patterns	pattern	NOUN
cana-4145	5	16	,	,	PUNCT
cana-4145	5	17	ensuring	ensure	VERB
cana-4145	5	18	high	high	ADJ
cana-4145	5	19	security	security	NOUN
cana-4145	5	20	against	against	ADP
cana-4145	5	21	potential	potential	ADJ
cana-4145	5	22	attacks	attack	NOUN
cana-4145	5	23	.	.	PUNCT
cana-4145	6	1	rsa	rsa	PROPN
cana-4145	6	2	cryptography	cryptography	NOUN
cana-4145	6	3	,	,	PUNCT
cana-4145	6	4	known	know	VERB
cana-4145	6	5	for	for	ADP
cana-4145	6	6	its	its	PRON
cana-4145	6	7	robust	robust	ADJ
cana-4145	6	8	publickey	publickey	ADJ
cana-4145	6	9	infrastructure	infrastructure	NOUN
cana-4145	6	10	,	,	PUNCT
cana-4145	6	11	guarantees	guarantee	VERB
cana-4145	6	12	secure	secure	VERB
cana-4145	6	13	key	key	ADJ
cana-4145	6	14	management	management	NOUN
cana-4145	6	15	and	and	CCONJ
cana-4145	6	16	protects	protect	VERB
cana-4145	6	17	the	the	DET
cana-4145	6	18	encryption	encryption	NOUN
cana-4145	6	19	key	key	NOUN
cana-4145	6	20	during	during	ADP
cana-4145	6	21	transmission	transmission	NOUN
cana-4145	6	22	.	.	PUNCT
cana-4145	7	1	experimental	experimental	ADJ
cana-4145	7	2	results	result	NOUN
cana-4145	7	3	show	show	VERB
cana-4145	7	4	that	that	SCONJ
cana-4145	7	5	the	the	DET
cana-4145	7	6	algorithm	algorithm	NOUN
cana-4145	7	7	offers	offer	VERB
cana-4145	7	8	strong	strong	ADJ
cana-4145	7	9	encryption	encryption	NOUN
cana-4145	7	10	,	,	PUNCT
cana-4145	7	11	high	high	ADJ
cana-4145	7	12	resistance	resistance	NOUN
cana-4145	7	13	to	to	ADP
cana-4145	7	14	common	common	ADJ
cana-4145	7	15	cryptographic	cryptographic	ADJ
cana-4145	7	16	attacks	attack	NOUN
cana-4145	7	17	,	,	PUNCT
cana-4145	7	18	and	and	CCONJ
cana-4145	7	19	efficient	efficient	ADJ
cana-4145	7	20	performance	performance	NOUN
cana-4145	7	21	.	.	PUNCT
cana-4145	8	1	the	the	DET
cana-4145	8	2	proposed	propose	VERB
cana-4145	8	3	method	method	NOUN
cana-4145	8	4	demonstrates	demonstrate	VERB
cana-4145	8	5	the	the	DET
cana-4145	8	6	effectiveness	effectiveness	NOUN
cana-4145	8	7	of	of	ADP
cana-4145	8	8	combining	combine	VERB
cana-4145	8	9	chaotic	chaotic	ADJ
cana-4145	8	10	systems	system	NOUN
cana-4145	8	11	and	and	CCONJ
cana-4145	8	12	rsa	rsa	PROPN
cana-4145	8	13	for	for	ADP
cana-4145	8	14	digital	digital	ADJ
cana-4145	8	15	image	image	NOUN
cana-4145	8	16	protection	protection	NOUN
cana-4145	8	17	,	,	PUNCT
cana-4145	8	18	making	make	VERB
cana-4145	8	19	it	it	PRON
cana-4145	8	20	a	a	DET
cana-4145	8	21	promising	promising	ADJ
cana-4145	8	22	solution	solution	NOUN
cana-4145	8	23	for	for	ADP
cana-4145	8	24	applications	application	NOUN
cana-4145	8	25	requiring	require	VERB
cana-4145	8	26	secure	secure	ADJ
cana-4145	8	27	image	image	NOUN
cana-4145	8	28	communication	communication	NOUN
cana-4145	8	29	and	and	CCONJ
cana-4145	8	30	storage	storage	NOUN
cana-4145	8	31	.	.	PUNCT
cana-4145	9	1	keywords	keyword	NOUN
cana-4145	9	2	:	:	PUNCT
cana-4145	9	3	image	image	NOUN
cana-4145	9	4	encryption	encryption	NOUN
cana-4145	9	5	,	,	PUNCT
cana-4145	9	6	chaotic	chaotic	ADJ
cana-4145	9	7	systems	system	NOUN
cana-4145	9	8	,	,	PUNCT
cana-4145	9	9	security	security	NOUN
cana-4145	9	10	,	,	PUNCT
cana-4145	9	11	rsa	rsa	NOUN
cana-4145	9	12	cryptography	cryptography	NOUN
cana-4145	9	13	,	,	PUNCT
cana-4145	9	14	key	key	ADJ
cana-4145	9	15	generation	generation	NOUN
cana-4145	9	16	.	.	PUNCT
cana-4145	10	1	1	1	X
cana-4145	10	2	.	.	X
cana-4145	10	3	introduction	introduction	NOUN
cana-4145	10	4	in	in	ADP
cana-4145	10	5	the	the	DET
cana-4145	10	6	modern	modern	ADJ
cana-4145	10	7	digital	digital	ADJ
cana-4145	10	8	era	era	NOUN
cana-4145	10	9	,	,	PUNCT
cana-4145	10	10	the	the	DET
cana-4145	10	11	proliferation	proliferation	NOUN
cana-4145	10	12	of	of	ADP
cana-4145	10	13	multimedia	multimedia	NOUN
cana-4145	10	14	data	datum	NOUN
cana-4145	10	15	,	,	PUNCT
cana-4145	10	16	particularly	particularly	ADV
cana-4145	10	17	images	image	NOUN
cana-4145	10	18	,	,	PUNCT
cana-4145	10	19	has	have	AUX
cana-4145	10	20	led	lead	VERB
cana-4145	10	21	to	to	ADP
cana-4145	10	22	increased	increase	VERB
cana-4145	10	23	concerns	concern	NOUN
cana-4145	10	24	about	about	ADP
cana-4145	10	25	privacy	privacy	NOUN
cana-4145	10	26	and	and	CCONJ
cana-4145	10	27	security	security	NOUN
cana-4145	10	28	.	.	PUNCT
cana-4145	11	1	images	image	NOUN
cana-4145	11	2	,	,	PUNCT
cana-4145	11	3	as	as	ADP
cana-4145	11	4	a	a	DET
cana-4145	11	5	form	form	NOUN
cana-4145	11	6	of	of	ADP
cana-4145	11	7	sensitive	sensitive	ADJ
cana-4145	11	8	information	information	NOUN
cana-4145	11	9	,	,	PUNCT
cana-4145	11	10	are	be	AUX
cana-4145	11	11	often	often	ADV
cana-4145	11	12	transmitted	transmit	VERB
cana-4145	11	13	over	over	ADP
cana-4145	11	14	the	the	DET
cana-4145	11	15	internet	internet	NOUN
cana-4145	11	16	or	or	CCONJ
cana-4145	11	17	stored	store	VERB
cana-4145	11	18	in	in	ADP
cana-4145	11	19	digital	digital	ADJ
cana-4145	11	20	systems	system	NOUN
cana-4145	11	21	,	,	PUNCT
cana-4145	11	22	where	where	SCONJ
cana-4145	11	23	they	they	PRON
cana-4145	11	24	are	be	AUX
cana-4145	11	25	vulnerable	vulnerable	ADJ
cana-4145	11	26	to	to	ADP
cana-4145	11	27	unauthorized	unauthorized	ADJ
cana-4145	11	28	access	access	NOUN
cana-4145	11	29	,	,	PUNCT
cana-4145	11	30	manipulation	manipulation	NOUN
cana-4145	11	31	,	,	PUNCT
cana-4145	11	32	and	and	CCONJ
cana-4145	11	33	misuse	misuse	NOUN
cana-4145	11	34	.	.	PUNCT
cana-4145	12	1	securing	secure	VERB
cana-4145	12	2	digital	digital	ADJ
cana-4145	12	3	images	image	NOUN
cana-4145	12	4	is	be	AUX
cana-4145	12	5	,	,	PUNCT
cana-4145	12	6	therefore	therefore	ADV
cana-4145	12	7	,	,	PUNCT
cana-4145	12	8	a	a	DET
cana-4145	12	9	critical	critical	ADJ
cana-4145	12	10	aspect	aspect	NOUN
cana-4145	12	11	of	of	ADP
cana-4145	12	12	maintaining	maintain	VERB
cana-4145	12	13	confidentiality	confidentiality	NOUN
cana-4145	12	14	,	,	PUNCT
cana-4145	12	15	integrity	integrity	NOUN
cana-4145	12	16	,	,	PUNCT
cana-4145	12	17	and	and	CCONJ
cana-4145	12	18	authenticity	authenticity	NOUN
cana-4145	12	19	,	,	PUNCT
cana-4145	12	20	especially	especially	ADV
cana-4145	12	21	in	in	ADP
cana-4145	12	22	sectors	sector	NOUN
cana-4145	12	23	like	like	ADP
cana-4145	12	24	healthcare	healthcare	NOUN
cana-4145	12	25	,	,	PUNCT
cana-4145	12	26	defence	defence	NOUN
cana-4145	12	27	,	,	PUNCT
cana-4145	12	28	and	and	CCONJ
cana-4145	12	29	digital	digital	ADJ
cana-4145	12	30	forensics	forensic	NOUN
cana-4145	12	31	.	.	PUNCT
cana-4145	13	1	traditional	traditional	ADJ
cana-4145	13	2	encryption	encryption	NOUN
cana-4145	13	3	methods	method	NOUN
cana-4145	13	4	like	like	ADP
cana-4145	13	5	the	the	DET
cana-4145	13	6	advanced	advanced	ADJ
cana-4145	13	7	encryption	encryption	NOUN
cana-4145	13	8	standard	standard	NOUN
cana-4145	13	9	(	(	PUNCT
cana-4145	13	10	aes	aes	PROPN
cana-4145	13	11	)	)	PUNCT
cana-4145	13	12	and	and	CCONJ
cana-4145	13	13	data	datum	NOUN
cana-4145	13	14	encryption	encryption	NOUN
cana-4145	13	15	standard	standard	NOUN
cana-4145	13	16	(	(	PUNCT
cana-4145	13	17	des	des	PROPN
cana-4145	13	18	)	)	PUNCT
cana-4145	13	19	are	be	AUX
cana-4145	13	20	commonly	commonly	ADV
cana-4145	13	21	used	use	VERB
cana-4145	13	22	to	to	PART
cana-4145	13	23	protect	protect	VERB
cana-4145	13	24	data	datum	NOUN
cana-4145	13	25	,	,	PUNCT
cana-4145	13	26	but	but	CCONJ
cana-4145	13	27	these	these	DET
cana-4145	13	28	algorithms	algorithm	NOUN
cana-4145	13	29	are	be	AUX
cana-4145	13	30	often	often	ADV
cana-4145	13	31	not	not	PART
cana-4145	13	32	tailored	tailor	VERB
cana-4145	13	33	for	for	ADP
cana-4145	13	34	image	image	NOUN
cana-4145	13	35	data	datum	NOUN
cana-4145	13	36	,	,	PUNCT
cana-4145	13	37	which	which	PRON
cana-4145	13	38	has	have	VERB
cana-4145	13	39	unique	unique	ADJ
cana-4145	13	40	characteristics	characteristic	NOUN
cana-4145	13	41	such	such	ADJ
cana-4145	13	42	as	as	ADP
cana-4145	13	43	large	large	ADJ
cana-4145	13	44	size	size	NOUN
cana-4145	13	45	,	,	PUNCT
cana-4145	13	46	high	high	ADJ
cana-4145	13	47	redundancy	redundancy	NOUN
cana-4145	13	48	,	,	PUNCT
cana-4145	13	49	and	and	CCONJ
cana-4145	13	50	specific	specific	ADJ
cana-4145	13	51	pixel	pixel	NOUN
cana-4145	13	52	patterns	pattern	NOUN
cana-4145	13	53	.	.	PUNCT
cana-4145	14	1	as	as	ADP
cana-4145	14	2	a	a	DET
cana-4145	14	3	result	result	NOUN
cana-4145	14	4	,	,	PUNCT
cana-4145	14	5	image	image	NOUN
cana-4145	14	6	encryption	encryption	NOUN
cana-4145	14	7	algorithms	algorithm	NOUN
cana-4145	14	8	require	require	VERB
cana-4145	14	9	specialized	specialized	ADJ
cana-4145	14	10	techniques	technique	NOUN
cana-4145	14	11	to	to	PART
cana-4145	14	12	effectively	effectively	ADV
cana-4145	14	13	obscure	obscure	VERB
cana-4145	14	14	these	these	DET
cana-4145	14	15	patterns	pattern	NOUN
cana-4145	14	16	and	and	CCONJ
cana-4145	14	17	protect	protect	VERB
cana-4145	14	18	against	against	ADP
cana-4145	14	19	potential	potential	ADJ
cana-4145	14	20	cryptographic	cryptographic	ADJ
cana-4145	14	21	attacks	attack	NOUN
cana-4145	14	22	[	[	X
cana-4145	14	23	1	1	NUM
cana-4145	14	24	-	-	SYM
cana-4145	14	25	2	2	NUM
cana-4145	14	26	]	]	PUNCT
cana-4145	14	27	.	.	PUNCT
cana-4145	15	1	with	with	ADP
cana-4145	15	2	the	the	DET
cana-4145	15	3	growing	grow	VERB
cana-4145	15	4	need	need	NOUN
cana-4145	15	5	for	for	ADP
cana-4145	15	6	data	datum	NOUN
cana-4145	15	7	security	security	NOUN
cana-4145	15	8	in	in	ADP
cana-4145	15	9	digital	digital	ADJ
cana-4145	15	10	communication	communication	NOUN
cana-4145	15	11	,	,	PUNCT
cana-4145	15	12	the	the	DET
cana-4145	15	13	protection	protection	NOUN
cana-4145	15	14	of	of	ADP
cana-4145	15	15	image	image	NOUN
cana-4145	15	16	data	datum	NOUN
cana-4145	15	17	is	be	AUX
cana-4145	15	18	crucial	crucial	ADJ
cana-4145	15	19	.	.	PUNCT
cana-4145	16	1	image	image	NOUN
cana-4145	16	2	encryption	encryption	NOUN
cana-4145	16	3	involves	involve	VERB
cana-4145	16	4	transforming	transform	VERB
cana-4145	16	5	an	an	DET
cana-4145	16	6	image	image	NOUN
cana-4145	16	7	into	into	ADP
cana-4145	16	8	an	an	DET
cana-4145	16	9	unreadable	unreadable	ADJ
cana-4145	16	10	format	format	NOUN
cana-4145	16	11	that	that	PRON
cana-4145	16	12	can	can	AUX
cana-4145	16	13	only	only	ADV
cana-4145	16	14	be	be	AUX
cana-4145	16	15	mailto:crajnirohila@ncuindia.edu	mailto:crajnirohila@ncuindia.edu	NOUN
cana-4145	16	16	communications	communication	NOUN
cana-4145	16	17	on	on	ADP
cana-4145	16	18	applied	apply	VERB
cana-4145	16	19	nonlinear	nonlinear	ADJ
cana-4145	16	20	analysis	analysis	NOUN
cana-4145	16	21	issn	issn	NOUN
cana-4145	16	22	:	:	PUNCT
cana-4145	16	23	1074	1074	NUM
cana-4145	16	24	-	-	PUNCT
cana-4145	16	25	133x	133x	NUM
cana-4145	16	26	vol	vol	NOUN
cana-4145	16	27	x	x	NOUN
cana-4145	16	28	no	no	INTJ
cana-4145	16	29	.	.	PUNCT
cana-4145	17	1	y	y	PROPN
cana-4145	17	2	(	(	PUNCT
cana-4145	17	3	2025	2025	NUM
cana-4145	17	4	)	)	PUNCT
cana-4145	17	5	1349	1349	NUM
cana-4145	17	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4145	17	7	restored	restore	VERB
cana-4145	17	8	by	by	ADP
cana-4145	17	9	authorized	authorize	VERB
cana-4145	17	10	decryption	decryption	NOUN
cana-4145	17	11	.	.	PUNCT
cana-4145	18	1	chaotic	chaotic	ADJ
cana-4145	18	2	systems	system	NOUN
cana-4145	18	3	,	,	PUNCT
cana-4145	18	4	known	know	VERB
cana-4145	18	5	for	for	ADP
cana-4145	18	6	their	their	PRON
cana-4145	18	7	randomness	randomness	NOUN
cana-4145	18	8	and	and	CCONJ
cana-4145	18	9	sensitivity	sensitivity	NOUN
cana-4145	18	10	,	,	PUNCT
cana-4145	18	11	have	have	AUX
cana-4145	18	12	become	become	VERB
cana-4145	18	13	increasingly	increasingly	ADV
cana-4145	18	14	popular	popular	ADJ
cana-4145	18	15	for	for	ADP
cana-4145	18	16	encryption	encryption	NOUN
cana-4145	18	17	.	.	PUNCT
cana-4145	19	1	rsa	rsa	PROPN
cana-4145	19	2	cryptography	cryptography	NOUN
cana-4145	19	3	,	,	PUNCT
cana-4145	19	4	a	a	DET
cana-4145	19	5	well	well	ADV
cana-4145	19	6	-	-	PUNCT
cana-4145	19	7	established	establish	VERB
cana-4145	19	8	public	public	ADJ
cana-4145	19	9	-	-	PUNCT
cana-4145	19	10	key	key	NOUN
cana-4145	19	11	algorithm	algorithm	NOUN
cana-4145	19	12	,	,	PUNCT
cana-4145	19	13	provides	provide	VERB
cana-4145	19	14	robust	robust	ADJ
cana-4145	19	15	key	key	ADJ
cana-4145	19	16	security	security	NOUN
cana-4145	19	17	.	.	PUNCT
cana-4145	20	1	this	this	DET
cana-4145	20	2	paper	paper	NOUN
cana-4145	20	3	aims	aim	VERB
cana-4145	20	4	to	to	PART
cana-4145	20	5	develop	develop	VERB
cana-4145	20	6	an	an	DET
cana-4145	20	7	image	image	NOUN
cana-4145	20	8	encryption	encryption	NOUN
cana-4145	20	9	algorithm	algorithm	NOUN
cana-4145	20	10	combining	combine	VERB
cana-4145	20	11	chaotic	chaotic	ADJ
cana-4145	20	12	systems	system	NOUN
cana-4145	20	13	and	and	CCONJ
cana-4145	20	14	rsa	rsa	PROPN
cana-4145	20	15	cryptography	cryptography	NOUN
cana-4145	20	16	for	for	ADP
cana-4145	20	17	enhanced	enhanced	ADJ
cana-4145	20	18	security	security	NOUN
cana-4145	20	19	.	.	PUNCT
cana-4145	21	1	in	in	ADP
cana-4145	21	2	an	an	DET
cana-4145	21	3	era	era	NOUN
cana-4145	21	4	where	where	SCONJ
cana-4145	21	5	digital	digital	ADJ
cana-4145	21	6	information	information	NOUN
cana-4145	21	7	is	be	AUX
cana-4145	21	8	increasingly	increasingly	ADV
cana-4145	21	9	vulnerable	vulnerable	ADJ
cana-4145	21	10	to	to	ADP
cana-4145	21	11	unauthorized	unauthorized	ADJ
cana-4145	21	12	access	access	NOUN
cana-4145	21	13	,	,	PUNCT
cana-4145	21	14	effective	effective	ADJ
cana-4145	21	15	methods	method	NOUN
cana-4145	21	16	of	of	ADP
cana-4145	21	17	securing	secure	VERB
cana-4145	21	18	data	datum	NOUN
cana-4145	21	19	have	have	AUX
cana-4145	21	20	become	become	VERB
cana-4145	21	21	paramount	paramount	ADJ
cana-4145	21	22	.	.	PUNCT
cana-4145	22	1	the	the	DET
cana-4145	22	2	integration	integration	NOUN
cana-4145	22	3	of	of	ADP
cana-4145	22	4	image	image	NOUN
cana-4145	22	5	encryption	encryption	NOUN
cana-4145	22	6	techniques	technique	NOUN
cana-4145	22	7	plays	play	VERB
cana-4145	22	8	a	a	DET
cana-4145	22	9	crucial	crucial	ADJ
cana-4145	22	10	role	role	NOUN
cana-4145	22	11	in	in	ADP
cana-4145	22	12	safeguarding	safeguard	VERB
cana-4145	22	13	visual	visual	ADJ
cana-4145	22	14	content	content	NOUN
cana-4145	22	15	from	from	ADP
cana-4145	22	16	prying	pry	VERB
cana-4145	22	17	eyes	eye	NOUN
cana-4145	22	18	,	,	PUNCT
cana-4145	22	19	particularly	particularly	ADV
cana-4145	22	20	in	in	ADP
cana-4145	22	21	applications	application	NOUN
cana-4145	22	22	spanning	span	VERB
cana-4145	22	23	from	from	ADP
cana-4145	22	24	secure	secure	ADJ
cana-4145	22	25	communications	communication	NOUN
cana-4145	22	26	to	to	ADP
cana-4145	22	27	medical	medical	ADJ
cana-4145	22	28	imaging	imaging	NOUN
cana-4145	22	29	[	[	X
cana-4145	22	30	3	3	NUM
cana-4145	22	31	-	-	SYM
cana-4145	22	32	5	5	NUM
cana-4145	22	33	]	]	PUNCT
cana-4145	22	34	.	.	PUNCT
cana-4145	23	1	the	the	DET
cana-4145	23	2	complex	complex	ADJ
cana-4145	23	3	nature	nature	NOUN
cana-4145	23	4	of	of	ADP
cana-4145	23	5	image	image	NOUN
cana-4145	23	6	data	datum	NOUN
cana-4145	23	7	necessitates	necessitate	VERB
cana-4145	23	8	the	the	DET
cana-4145	23	9	development	development	NOUN
cana-4145	23	10	of	of	ADP
cana-4145	23	11	advanced	advanced	ADJ
cana-4145	23	12	algorithms	algorithm	NOUN
cana-4145	23	13	that	that	PRON
cana-4145	23	14	not	not	PART
cana-4145	23	15	only	only	ADV
cana-4145	23	16	protect	protect	VERB
cana-4145	23	17	the	the	DET
cana-4145	23	18	integrity	integrity	NOUN
cana-4145	23	19	of	of	ADP
cana-4145	23	20	imagery	imagery	NOUN
cana-4145	23	21	but	but	CCONJ
cana-4145	23	22	also	also	ADV
cana-4145	23	23	ensure	ensure	VERB
cana-4145	23	24	that	that	SCONJ
cana-4145	23	25	the	the	DET
cana-4145	23	26	decryption	decryption	NOUN
cana-4145	23	27	process	process	NOUN
cana-4145	23	28	is	be	AUX
cana-4145	23	29	both	both	CCONJ
cana-4145	23	30	efficient	efficient	ADJ
cana-4145	23	31	and	and	CCONJ
cana-4145	23	32	reliable	reliable	ADJ
cana-4145	23	33	.	.	PUNCT
cana-4145	24	1	among	among	ADP
cana-4145	24	2	the	the	DET
cana-4145	24	3	myriads	myriad	NOUN
cana-4145	24	4	of	of	ADP
cana-4145	24	5	encryption	encryption	NOUN
cana-4145	24	6	strategies	strategy	NOUN
cana-4145	24	7	,	,	PUNCT
cana-4145	24	8	chaotic	chaotic	ADJ
cana-4145	24	9	systems	system	NOUN
cana-4145	24	10	paired	pair	VERB
cana-4145	24	11	with	with	ADP
cana-4145	24	12	rsa	rsa	PROPN
cana-4145	24	13	cryptography	cryptography	NOUN
cana-4145	24	14	present	present	VERB
cana-4145	24	15	a	a	DET
cana-4145	24	16	promising	promising	ADJ
cana-4145	24	17	solution	solution	NOUN
cana-4145	24	18	,	,	PUNCT
cana-4145	24	19	offering	offer	VERB
cana-4145	24	20	dual	dual	ADJ
cana-4145	24	21	-	-	PUNCT
cana-4145	24	22	layered	layer	VERB
cana-4145	24	23	security	security	NOUN
cana-4145	24	24	that	that	PRON
cana-4145	24	25	capitalizes	capitalize	VERB
cana-4145	24	26	on	on	ADP
cana-4145	24	27	the	the	DET
cana-4145	24	28	strengths	strength	NOUN
cana-4145	24	29	of	of	ADP
cana-4145	24	30	both	both	DET
cana-4145	24	31	methodologies	methodology	NOUN
cana-4145	24	32	.	.	PUNCT
cana-4145	25	1	this	this	DET
cana-4145	25	2	essay	essay	NOUN
cana-4145	25	3	will	will	AUX
cana-4145	25	4	delve	delve	VERB
cana-4145	25	5	into	into	ADP
cana-4145	25	6	the	the	DET
cana-4145	25	7	intricacies	intricacy	NOUN
cana-4145	25	8	of	of	ADP
cana-4145	25	9	these	these	DET
cana-4145	25	10	algorithms	algorithm	NOUN
cana-4145	25	11	,	,	PUNCT
cana-4145	25	12	exploring	explore	VERB
cana-4145	25	13	how	how	SCONJ
cana-4145	25	14	they	they	PRON
cana-4145	25	15	leverage	leverage	VERB
cana-4145	25	16	the	the	DET
cana-4145	25	17	unpredictability	unpredictability	NOUN
cana-4145	25	18	of	of	ADP
cana-4145	25	19	chaotic	chaotic	ADJ
cana-4145	25	20	systems	system	NOUN
cana-4145	25	21	alongside	alongside	ADP
cana-4145	25	22	the	the	DET
cana-4145	25	23	robustness	robustness	NOUN
cana-4145	25	24	of	of	ADP
cana-4145	25	25	rsa	rsa	NOUN
cana-4145	25	26	,	,	PUNCT
cana-4145	25	27	ultimately	ultimately	ADV
cana-4145	25	28	aiming	aim	VERB
cana-4145	25	29	to	to	PART
cana-4145	25	30	provide	provide	VERB
cana-4145	25	31	a	a	DET
cana-4145	25	32	comprehensive	comprehensive	ADJ
cana-4145	25	33	understanding	understanding	NOUN
cana-4145	25	34	of	of	ADP
cana-4145	25	35	their	their	PRON
cana-4145	25	36	applications	application	NOUN
cana-4145	25	37	and	and	CCONJ
cana-4145	25	38	effectiveness	effectiveness	NOUN
cana-4145	25	39	in	in	ADP
cana-4145	25	40	modern	modern	ADJ
cana-4145	25	41	cybersecurity	cybersecurity	NOUN
cana-4145	25	42	frameworks	framework	NOUN
cana-4145	25	43	[	[	X
cana-4145	25	44	6	6	NUM
cana-4145	25	45	]	]	PUNCT
cana-4145	25	46	.	.	PUNCT
cana-4145	26	1	figure	figure	NOUN
cana-4145	26	2	-1	-1	ADP
cana-4145	26	3	general	general	ADJ
cana-4145	26	4	block	block	NOUN
cana-4145	26	5	diagram	diagram	NOUN
cana-4145	26	6	of	of	ADP
cana-4145	26	7	cryptosystem	cryptosystem	NOUN
cana-4145	26	8	chaotic	chaotic	ADJ
cana-4145	26	9	systems	system	NOUN
cana-4145	26	10	and	and	CCONJ
cana-4145	26	11	rsa	rsa	PROPN
cana-4145	26	12	cryptography	cryptography	NOUN
cana-4145	26	13	have	have	AUX
cana-4145	26	14	emerged	emerge	VERB
cana-4145	26	15	as	as	ADP
cana-4145	26	16	promising	promising	ADJ
cana-4145	26	17	tools	tool	NOUN
cana-4145	26	18	for	for	ADP
cana-4145	26	19	addressing	address	VERB
cana-4145	26	20	these	these	DET
cana-4145	26	21	challenges	challenge	NOUN
cana-4145	26	22	.	.	PUNCT
cana-4145	27	1	chaotic	chaotic	ADJ
cana-4145	27	2	systems	system	NOUN
cana-4145	27	3	,	,	PUNCT
cana-4145	27	4	known	know	VERB
cana-4145	27	5	for	for	ADP
cana-4145	27	6	their	their	PRON
cana-4145	27	7	sensitive	sensitive	ADJ
cana-4145	27	8	dependence	dependence	NOUN
cana-4145	27	9	on	on	ADP
cana-4145	27	10	initial	initial	ADJ
cana-4145	27	11	conditions	condition	NOUN
cana-4145	27	12	and	and	CCONJ
cana-4145	27	13	pseudorandom	pseudorandom	PROPN
cana-4145	27	14	behaviour	behaviour	NOUN
cana-4145	27	15	,	,	PUNCT
cana-4145	27	16	offer	offer	VERB
cana-4145	27	17	an	an	DET
cana-4145	27	18	ideal	ideal	ADJ
cana-4145	27	19	foundation	foundation	NOUN
cana-4145	27	20	for	for	ADP
cana-4145	27	21	generating	generate	VERB
cana-4145	27	22	complex	complex	ADJ
cana-4145	27	23	encryption	encryption	NOUN
cana-4145	27	24	keys	key	NOUN
cana-4145	27	25	.	.	PUNCT
cana-4145	28	1	on	on	ADP
cana-4145	28	2	the	the	DET
cana-4145	28	3	other	other	ADJ
cana-4145	28	4	hand	hand	NOUN
cana-4145	28	5	,	,	PUNCT
cana-4145	28	6	rsa	rsa	PROPN
cana-4145	28	7	cryptography	cryptography	NOUN
cana-4145	28	8	,	,	PUNCT
cana-4145	28	9	a	a	DET
cana-4145	28	10	widely	widely	ADV
cana-4145	28	11	recognized	recognize	VERB
cana-4145	28	12	asymmetric	asymmetric	ADJ
cana-4145	28	13	encryption	encryption	NOUN
cana-4145	28	14	algorithm	algorithm	NOUN
cana-4145	28	15	,	,	PUNCT
cana-4145	28	16	provides	provide	VERB
cana-4145	28	17	robust	robust	ADJ
cana-4145	28	18	key	key	ADJ
cana-4145	28	19	management	management	NOUN
cana-4145	28	20	and	and	CCONJ
cana-4145	28	21	secure	secure	ADJ
cana-4145	28	22	transmission	transmission	NOUN
cana-4145	28	23	of	of	ADP
cana-4145	28	24	keys	key	NOUN
cana-4145	28	25	,	,	PUNCT
cana-4145	28	26	making	make	VERB
cana-4145	28	27	it	it	PRON
cana-4145	28	28	suitable	suitable	ADJ
cana-4145	28	29	for	for	ADP
cana-4145	28	30	ensuring	ensure	VERB
cana-4145	28	31	the	the	DET
cana-4145	28	32	confidentiality	confidentiality	NOUN
cana-4145	28	33	of	of	ADP
cana-4145	28	34	the	the	DET
cana-4145	28	35	encryption	encryption	NOUN
cana-4145	28	36	process	process	NOUN
cana-4145	28	37	[	[	X
cana-4145	28	38	7	7	NUM
cana-4145	28	39	]	]	PUNCT
cana-4145	28	40	.	.	PUNCT
cana-4145	29	1	this	this	DET
cana-4145	29	2	paper	paper	NOUN
cana-4145	29	3	proposes	propose	VERB
cana-4145	29	4	an	an	DET
cana-4145	29	5	innovative	innovative	ADJ
cana-4145	29	6	image	image	NOUN
cana-4145	29	7	encryption	encryption	NOUN
cana-4145	29	8	and	and	CCONJ
cana-4145	29	9	decryption	decryption	NOUN
cana-4145	29	10	algorithm	algorithm	NOUN
cana-4145	29	11	that	that	PRON
cana-4145	29	12	combines	combine	VERB
cana-4145	29	13	chaotic	chaotic	ADJ
cana-4145	29	14	systems	system	NOUN
cana-4145	29	15	and	and	CCONJ
cana-4145	29	16	rsa	rsa	PROPN
cana-4145	29	17	cryptography	cryptography	NOUN
cana-4145	29	18	.	.	PUNCT
cana-4145	30	1	the	the	DET
cana-4145	30	2	chaotic	chaotic	ADJ
cana-4145	30	3	system	system	NOUN
cana-4145	30	4	generates	generate	VERB
cana-4145	30	5	a	a	DET
cana-4145	30	6	pseudo	pseudo	NOUN
cana-4145	30	7	-	-	ADJ
cana-4145	30	8	random	random	ADJ
cana-4145	30	9	key	key	NOUN
cana-4145	30	10	to	to	PART
cana-4145	30	11	encrypt	encrypt	VERB
cana-4145	30	12	the	the	DET
cana-4145	30	13	image	image	NOUN
cana-4145	30	14	,	,	PUNCT
cana-4145	30	15	while	while	SCONJ
cana-4145	30	16	rsa	rsa	PROPN
cana-4145	30	17	cryptography	cryptography	NOUN
cana-4145	30	18	is	be	AUX
cana-4145	30	19	employed	employ	VERB
cana-4145	30	20	for	for	ADP
cana-4145	30	21	secure	secure	ADJ
cana-4145	30	22	key	key	ADJ
cana-4145	30	23	exchange	exchange	NOUN
cana-4145	30	24	.	.	PUNCT
cana-4145	31	1	the	the	DET
cana-4145	31	2	aim	aim	NOUN
cana-4145	31	3	is	be	AUX
cana-4145	31	4	to	to	PART
cana-4145	31	5	design	design	VERB
cana-4145	31	6	an	an	DET
cana-4145	31	7	algorithm	algorithm	NOUN
cana-4145	31	8	that	that	PRON
cana-4145	31	9	enhances	enhance	VERB
cana-4145	31	10	the	the	DET
cana-4145	31	11	security	security	NOUN
cana-4145	31	12	of	of	ADP
cana-4145	31	13	image	image	NOUN
cana-4145	31	14	data	datum	NOUN
cana-4145	31	15	while	while	SCONJ
cana-4145	31	16	maintaining	maintain	VERB
cana-4145	31	17	the	the	DET
cana-4145	31	18	efficiency	efficiency	NOUN
cana-4145	31	19	and	and	CCONJ
cana-4145	31	20	practicality	practicality	NOUN
cana-4145	31	21	of	of	ADP
cana-4145	31	22	the	the	DET
cana-4145	31	23	encryption	encryption	NOUN
cana-4145	31	24	/	/	SYM
cana-4145	31	25	decryption	decryption	NOUN
cana-4145	31	26	processes	process	NOUN
cana-4145	31	27	.	.	PUNCT
cana-4145	32	1	communications	communication	NOUN
cana-4145	32	2	on	on	ADP
cana-4145	32	3	applied	apply	VERB
cana-4145	32	4	nonlinear	nonlinear	ADJ
cana-4145	32	5	analysis	analysis	NOUN
cana-4145	32	6	issn	issn	NOUN
cana-4145	32	7	:	:	PUNCT
cana-4145	32	8	1074	1074	NUM
cana-4145	32	9	-	-	PUNCT
cana-4145	32	10	133x	133x	NUM
cana-4145	32	11	vol	vol	NOUN
cana-4145	32	12	x	x	NOUN
cana-4145	32	13	no	no	INTJ
cana-4145	32	14	.	.	PUNCT
cana-4145	33	1	y	y	PROPN
cana-4145	33	2	(	(	PUNCT
cana-4145	33	3	2025	2025	NUM
cana-4145	33	4	)	)	PUNCT
cana-4145	33	5	1350	1350	NUM
cana-4145	33	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4145	33	7	2	2	X
cana-4145	33	8	.	.	X
cana-4145	33	9	literature	literature	NOUN
cana-4145	33	10	review	review	VERB
cana-4145	33	11	a	a	DET
cana-4145	33	12	review	review	NOUN
cana-4145	33	13	of	of	ADP
cana-4145	33	14	existing	exist	VERB
cana-4145	33	15	encryption	encryption	NOUN
cana-4145	33	16	techniques	technique	NOUN
cana-4145	33	17	reveals	reveal	VERB
cana-4145	33	18	the	the	DET
cana-4145	33	19	growing	grow	VERB
cana-4145	33	20	importance	importance	NOUN
cana-4145	33	21	of	of	ADP
cana-4145	33	22	combining	combine	VERB
cana-4145	33	23	chaos	chaos	NOUN
cana-4145	33	24	theory	theory	NOUN
cana-4145	33	25	with	with	ADP
cana-4145	33	26	conventional	conventional	ADJ
cana-4145	33	27	cryptographic	cryptographic	ADJ
cana-4145	33	28	algorithms	algorithm	NOUN
cana-4145	33	29	.	.	PUNCT
cana-4145	34	1	studies	study	NOUN
cana-4145	34	2	indicate	indicate	VERB
cana-4145	34	3	that	that	SCONJ
cana-4145	34	4	chaotic	chaotic	ADJ
cana-4145	34	5	systems	system	NOUN
cana-4145	34	6	,	,	PUNCT
cana-4145	34	7	when	when	SCONJ
cana-4145	34	8	combined	combine	VERB
cana-4145	34	9	with	with	ADP
cana-4145	34	10	rsa	rsa	NOUN
cana-4145	34	11	,	,	PUNCT
cana-4145	34	12	offer	offer	VERB
cana-4145	34	13	improved	improved	ADJ
cana-4145	34	14	security	security	NOUN
cana-4145	34	15	by	by	ADP
cana-4145	34	16	making	make	VERB
cana-4145	34	17	the	the	DET
cana-4145	34	18	encryption	encryption	NOUN
cana-4145	34	19	process	process	NOUN
cana-4145	34	20	highly	highly	ADV
cana-4145	34	21	unpredictable	unpredictable	ADJ
cana-4145	34	22	.	.	PUNCT
cana-4145	35	1	however	however	ADV
cana-4145	35	2	,	,	PUNCT
cana-4145	35	3	the	the	DET
cana-4145	35	4	challenge	challenge	NOUN
cana-4145	35	5	remains	remain	VERB
cana-4145	35	6	in	in	ADP
cana-4145	35	7	designing	design	VERB
cana-4145	35	8	algorithms	algorithm	NOUN
cana-4145	35	9	that	that	PRON
cana-4145	35	10	are	be	AUX
cana-4145	35	11	both	both	PRON
cana-4145	35	12	computationally	computationally	ADV
cana-4145	35	13	efficient	efficient	ADJ
cana-4145	35	14	and	and	CCONJ
cana-4145	35	15	secure	secure	ADJ
cana-4145	35	16	[	[	X
cana-4145	35	17	8	8	NUM
cana-4145	35	18	]	]	PUNCT
cana-4145	35	19	.	.	PUNCT
cana-4145	36	1	in	in	ADP
cana-4145	36	2	an	an	DET
cana-4145	36	3	increasingly	increasingly	ADV
cana-4145	36	4	digital	digital	ADJ
cana-4145	36	5	world	world	NOUN
cana-4145	36	6	,	,	PUNCT
cana-4145	36	7	the	the	DET
cana-4145	36	8	protection	protection	NOUN
cana-4145	36	9	of	of	ADP
cana-4145	36	10	sensitive	sensitive	ADJ
cana-4145	36	11	visual	visual	ADJ
cana-4145	36	12	data	datum	NOUN
cana-4145	36	13	has	have	AUX
cana-4145	36	14	become	become	VERB
cana-4145	36	15	paramount	paramount	ADJ
cana-4145	36	16	,	,	PUNCT
cana-4145	36	17	as	as	SCONJ
cana-4145	36	18	unauthorized	unauthorized	ADJ
cana-4145	36	19	access	access	NOUN
cana-4145	36	20	to	to	ADP
cana-4145	36	21	image	image	NOUN
cana-4145	36	22	information	information	NOUN
cana-4145	36	23	can	can	AUX
cana-4145	36	24	result	result	VERB
cana-4145	36	25	in	in	ADP
cana-4145	36	26	significant	significant	ADJ
cana-4145	36	27	privacy	privacy	NOUN
cana-4145	36	28	breaches	breach	NOUN
cana-4145	36	29	.	.	PUNCT
cana-4145	37	1	encryption	encryption	NOUN
cana-4145	37	2	methods	method	NOUN
cana-4145	37	3	serve	serve	VERB
cana-4145	37	4	as	as	ADP
cana-4145	37	5	a	a	DET
cana-4145	37	6	critical	critical	ADJ
cana-4145	37	7	line	line	NOUN
cana-4145	37	8	of	of	ADP
cana-4145	37	9	defence	defence	NOUN
cana-4145	37	10	,	,	PUNCT
cana-4145	37	11	transforming	transform	VERB
cana-4145	37	12	accessible	accessible	ADJ
cana-4145	37	13	images	image	NOUN
cana-4145	37	14	into	into	ADP
cana-4145	37	15	indecipherable	indecipherable	ADJ
cana-4145	37	16	formats	format	NOUN
cana-4145	37	17	for	for	ADP
cana-4145	37	18	anyone	anyone	PRON
cana-4145	37	19	without	without	ADP
cana-4145	37	20	the	the	DET
cana-4145	37	21	decryption	decryption	NOUN
cana-4145	37	22	key	key	NOUN
cana-4145	37	23	[	[	X
cana-4145	37	24	9	9	NUM
cana-4145	37	25	]	]	PUNCT
cana-4145	37	26	.	.	PUNCT
cana-4145	38	1	by	by	ADP
cana-4145	38	2	employing	employ	VERB
cana-4145	38	3	sophisticated	sophisticated	ADJ
cana-4145	38	4	techniques	technique	NOUN
cana-4145	38	5	such	such	ADJ
cana-4145	38	6	as	as	ADP
cana-4145	38	7	chaotic	chaotic	ADJ
cana-4145	38	8	systems	system	NOUN
cana-4145	38	9	and	and	CCONJ
cana-4145	38	10	rsa	rsa	PROPN
cana-4145	38	11	cryptography	cryptography	NOUN
cana-4145	38	12	,	,	PUNCT
cana-4145	38	13	researchers	researcher	NOUN
cana-4145	38	14	have	have	AUX
cana-4145	38	15	developed	develop	VERB
cana-4145	38	16	advanced	advanced	ADJ
cana-4145	38	17	algorithms	algorithm	NOUN
cana-4145	38	18	that	that	PRON
cana-4145	38	19	ensure	ensure	VERB
cana-4145	38	20	the	the	DET
cana-4145	38	21	security	security	NOUN
cana-4145	38	22	and	and	CCONJ
cana-4145	38	23	integrity	integrity	NOUN
cana-4145	38	24	of	of	ADP
cana-4145	38	25	image	image	NOUN
cana-4145	38	26	data	datum	NOUN
cana-4145	38	27	.	.	PUNCT
cana-4145	39	1	furthermore	furthermore	ADV
cana-4145	39	2	,	,	PUNCT
cana-4145	39	3	the	the	DET
cana-4145	39	4	link	link	NOUN
cana-4145	39	5	between	between	ADP
cana-4145	39	6	fractal	fractal	ADJ
cana-4145	39	7	sets	set	NOUN
cana-4145	39	8	and	and	CCONJ
cana-4145	39	9	public	public	ADJ
cana-4145	39	10	-	-	PUNCT
cana-4145	39	11	key	key	NOUN
cana-4145	39	12	cryptography	cryptography	NOUN
cana-4145	39	13	demonstrates	demonstrate	VERB
cana-4145	39	14	the	the	DET
cana-4145	39	15	potential	potential	NOUN
cana-4145	39	16	for	for	ADP
cana-4145	39	17	innovative	innovative	ADJ
cana-4145	39	18	approaches	approach	NOUN
cana-4145	39	19	to	to	ADP
cana-4145	39	20	encryption	encryption	NOUN
cana-4145	39	21	,	,	PUNCT
cana-4145	39	22	aimed	aim	VERB
cana-4145	39	23	at	at	ADP
cana-4145	39	24	safeguarding	safeguard	VERB
cana-4145	39	25	images	image	NOUN
cana-4145	39	26	during	during	ADP
cana-4145	39	27	transmission	transmission	NOUN
cana-4145	39	28	and	and	CCONJ
cana-4145	39	29	storage	storage	NOUN
cana-4145	39	30	.	.	PUNCT
cana-4145	40	1	with	with	ADP
cana-4145	40	2	ongoing	ongoing	ADJ
cana-4145	40	3	advancements	advancement	NOUN
cana-4145	40	4	in	in	ADP
cana-4145	40	5	encryption	encryption	NOUN
cana-4145	40	6	technologies	technology	NOUN
cana-4145	40	7	,	,	PUNCT
cana-4145	40	8	the	the	DET
cana-4145	40	9	significance	significance	NOUN
cana-4145	40	10	of	of	ADP
cana-4145	40	11	robust	robust	ADJ
cana-4145	40	12	image	image	NOUN
cana-4145	40	13	security	security	NOUN
cana-4145	40	14	will	will	AUX
cana-4145	40	15	continue	continue	VERB
cana-4145	40	16	to	to	PART
cana-4145	40	17	grow	grow	VERB
cana-4145	40	18	,	,	PUNCT
cana-4145	40	19	underscoring	underscore	VERB
cana-4145	40	20	the	the	DET
cana-4145	40	21	necessity	necessity	NOUN
cana-4145	40	22	for	for	ADP
cana-4145	40	23	effective	effective	ADJ
cana-4145	40	24	protective	protective	ADJ
cana-4145	40	25	measures	measure	NOUN
cana-4145	40	26	[	[	X
cana-4145	40	27	10	10	NUM
cana-4145	40	28	]	]	PUNCT
cana-4145	40	29	.	.	PUNCT
cana-4145	41	1	traditional	traditional	ADJ
cana-4145	41	2	encryption	encryption	NOUN
cana-4145	41	3	techniques	technique	NOUN
cana-4145	41	4	for	for	ADP
cana-4145	41	5	image	image	NOUN
cana-4145	41	6	data	datum	NOUN
cana-4145	41	7	typically	typically	ADV
cana-4145	41	8	rely	rely	VERB
cana-4145	41	9	on	on	ADP
cana-4145	41	10	block	block	NOUN
cana-4145	41	11	ciphers	cipher	NOUN
cana-4145	41	12	or	or	CCONJ
cana-4145	41	13	stream	stream	NOUN
cana-4145	41	14	ciphers	cipher	NOUN
cana-4145	41	15	.	.	PUNCT
cana-4145	42	1	for	for	ADP
cana-4145	42	2	example	example	NOUN
cana-4145	42	3	,	,	PUNCT
cana-4145	42	4	the	the	DET
cana-4145	42	5	aes	aes	PROPN
cana-4145	42	6	algorithm	algorithm	NOUN
cana-4145	42	7	has	have	AUX
cana-4145	42	8	been	be	AUX
cana-4145	42	9	widely	widely	ADV
cana-4145	42	10	used	use	VERB
cana-4145	42	11	for	for	ADP
cana-4145	42	12	encrypting	encrypt	VERB
cana-4145	42	13	images	image	NOUN
cana-4145	42	14	.	.	PUNCT
cana-4145	43	1	however	however	ADV
cana-4145	43	2	,	,	PUNCT
cana-4145	43	3	aes	aes	PROPN
cana-4145	43	4	is	be	AUX
cana-4145	43	5	designed	design	VERB
cana-4145	43	6	for	for	ADP
cana-4145	43	7	general	general	ADJ
cana-4145	43	8	data	datum	NOUN
cana-4145	43	9	encryption	encryption	NOUN
cana-4145	43	10	and	and	CCONJ
cana-4145	43	11	may	may	AUX
cana-4145	43	12	not	not	PART
cana-4145	43	13	fully	fully	ADV
cana-4145	43	14	exploit	exploit	VERB
cana-4145	43	15	the	the	DET
cana-4145	43	16	spatial	spatial	ADJ
cana-4145	43	17	and	and	CCONJ
cana-4145	43	18	statistical	statistical	ADJ
cana-4145	43	19	properties	property	NOUN
cana-4145	43	20	of	of	ADP
cana-4145	43	21	images	image	NOUN
cana-4145	43	22	.	.	PUNCT
cana-4145	44	1	liu	liu	PROPN
cana-4145	44	2	et	et	PROPN
cana-4145	44	3	al	al	PROPN
cana-4145	44	4	.	.	PROPN
cana-4145	45	1	(	(	PUNCT
cana-4145	45	2	2015	2015	NUM
cana-4145	45	3	)	)	PUNCT
cana-4145	46	1	[	[	X
cana-4145	46	2	11	11	NUM
cana-4145	46	3	]	]	PUNCT
cana-4145	46	4	proposed	propose	VERB
cana-4145	46	5	an	an	DET
cana-4145	46	6	image	image	NOUN
cana-4145	46	7	encryption	encryption	NOUN
cana-4145	46	8	scheme	scheme	NOUN
cana-4145	46	9	using	use	VERB
cana-4145	46	10	aes	aes	NOUN
cana-4145	46	11	combined	combine	VERB
cana-4145	46	12	with	with	ADP
cana-4145	46	13	a	a	DET
cana-4145	46	14	pixel	pixel	NOUN
cana-4145	46	15	shuffling	shuffle	VERB
cana-4145	46	16	technique	technique	NOUN
cana-4145	46	17	,	,	PUNCT
cana-4145	46	18	where	where	SCONJ
cana-4145	46	19	image	image	NOUN
cana-4145	46	20	pixels	pixel	NOUN
cana-4145	46	21	are	be	AUX
cana-4145	46	22	rearranged	rearrange	VERB
cana-4145	46	23	before	before	ADP
cana-4145	46	24	encryption	encryption	NOUN
cana-4145	46	25	.	.	PUNCT
cana-4145	47	1	although	although	SCONJ
cana-4145	47	2	effective	effective	ADJ
cana-4145	47	3	in	in	ADP
cana-4145	47	4	certain	certain	ADJ
cana-4145	47	5	cases	case	NOUN
cana-4145	47	6	,	,	PUNCT
cana-4145	47	7	these	these	DET
cana-4145	47	8	schemes	scheme	NOUN
cana-4145	47	9	are	be	AUX
cana-4145	47	10	vulnerable	vulnerable	ADJ
cana-4145	47	11	to	to	ADP
cana-4145	47	12	known	know	VERB
cana-4145	47	13	-	-	PUNCT
cana-4145	47	14	plaintext	plaintext	NOUN
cana-4145	47	15	attacks	attack	NOUN
cana-4145	47	16	and	and	CCONJ
cana-4145	47	17	may	may	AUX
cana-4145	47	18	not	not	PART
cana-4145	47	19	be	be	AUX
cana-4145	47	20	sufficient	sufficient	ADJ
cana-4145	47	21	for	for	ADP
cana-4145	47	22	high	high	ADJ
cana-4145	47	23	-	-	PUNCT
cana-4145	47	24	security	security	NOUN
cana-4145	47	25	applications	application	NOUN
cana-4145	47	26	.	.	PUNCT
cana-4145	48	1	to	to	PART
cana-4145	48	2	address	address	VERB
cana-4145	48	3	the	the	DET
cana-4145	48	4	shortcomings	shortcoming	NOUN
cana-4145	48	5	of	of	ADP
cana-4145	48	6	traditional	traditional	ADJ
cana-4145	48	7	encryption	encryption	NOUN
cana-4145	48	8	methods	method	NOUN
cana-4145	48	9	,	,	PUNCT
cana-4145	48	10	researchers	researcher	NOUN
cana-4145	48	11	have	have	AUX
cana-4145	48	12	increasingly	increasingly	ADV
cana-4145	48	13	turned	turn	VERB
cana-4145	48	14	to	to	ADP
cana-4145	48	15	chaotic	chaotic	ADJ
cana-4145	48	16	systems	system	NOUN
cana-4145	48	17	,	,	PUNCT
cana-4145	48	18	which	which	PRON
cana-4145	48	19	offer	offer	VERB
cana-4145	48	20	more	more	ADV
cana-4145	48	21	robust	robust	ADJ
cana-4145	48	22	security	security	NOUN
cana-4145	48	23	features	feature	NOUN
cana-4145	48	24	.	.	PUNCT
cana-4145	49	1	chaotic	chaotic	ADJ
cana-4145	49	2	maps	map	NOUN
cana-4145	49	3	,	,	PUNCT
cana-4145	49	4	such	such	ADJ
cana-4145	49	5	as	as	ADP
cana-4145	49	6	the	the	DET
cana-4145	49	7	logistic	logistic	ADJ
cana-4145	49	8	map	map	NOUN
cana-4145	49	9	and	and	CCONJ
cana-4145	49	10	henon	henon	NOUN
cana-4145	49	11	map	map	NOUN
cana-4145	49	12	,	,	PUNCT
cana-4145	49	13	have	have	AUX
cana-4145	49	14	been	be	AUX
cana-4145	49	15	utilized	utilize	VERB
cana-4145	49	16	to	to	PART
cana-4145	49	17	generate	generate	VERB
cana-4145	49	18	pseudo	pseudo	NOUN
cana-4145	49	19	-	-	ADJ
cana-4145	49	20	random	random	ADJ
cana-4145	49	21	sequences	sequence	NOUN
cana-4145	49	22	for	for	ADP
cana-4145	49	23	encryption	encryption	NOUN
cana-4145	49	24	.	.	PUNCT
cana-4145	50	1	chaotic	chaotic	ADJ
cana-4145	50	2	systems	system	NOUN
cana-4145	50	3	exhibit	exhibit	VERB
cana-4145	50	4	sensitive	sensitive	ADJ
cana-4145	50	5	dependence	dependence	NOUN
cana-4145	50	6	on	on	ADP
cana-4145	50	7	initial	initial	ADJ
cana-4145	50	8	conditions	condition	NOUN
cana-4145	50	9	,	,	PUNCT
cana-4145	50	10	making	make	VERB
cana-4145	50	11	it	it	PRON
cana-4145	50	12	difficult	difficult	ADJ
cana-4145	50	13	to	to	PART
cana-4145	50	14	predict	predict	VERB
cana-4145	50	15	or	or	CCONJ
cana-4145	50	16	reverse	reverse	VERB
cana-4145	50	17	the	the	DET
cana-4145	50	18	encryption	encryption	NOUN
cana-4145	50	19	without	without	ADP
cana-4145	50	20	knowledge	knowledge	NOUN
cana-4145	50	21	of	of	ADP
cana-4145	50	22	the	the	DET
cana-4145	50	23	initial	initial	ADJ
cana-4145	50	24	system	system	NOUN
cana-4145	50	25	state	state	NOUN
cana-4145	51	1	[	[	X
cana-4145	51	2	12	12	NUM
cana-4145	51	3	]	]	PUNCT
cana-4145	51	4	.	.	PUNCT
cana-4145	52	1	xun	xun	PROPN
cana-4145	52	2	yi	yi	PROPN
cana-4145	52	3	(	(	PUNCT
cana-4145	52	4	2013	2013	NUM
cana-4145	52	5	)	)	PUNCT
cana-4145	53	1	[	[	X
cana-4145	53	2	13	13	NUM
cana-4145	53	3	]	]	PUNCT
cana-4145	53	4	introduced	introduce	VERB
cana-4145	53	5	a	a	DET
cana-4145	53	6	chaotic	chaotic	ADJ
cana-4145	53	7	encryption	encryption	NOUN
cana-4145	53	8	method	method	NOUN
cana-4145	53	9	that	that	PRON
cana-4145	53	10	uses	use	VERB
cana-4145	53	11	the	the	DET
cana-4145	53	12	logistic	logistic	ADJ
cana-4145	53	13	map	map	NOUN
cana-4145	53	14	to	to	PART
cana-4145	53	15	generate	generate	VERB
cana-4145	53	16	keys	key	NOUN
cana-4145	53	17	for	for	ADP
cana-4145	53	18	pixel	pixel	NOUN
cana-4145	53	19	scrambling	scramble	VERB
cana-4145	53	20	,	,	PUNCT
cana-4145	53	21	achieving	achieve	VERB
cana-4145	53	22	higher	high	ADJ
cana-4145	53	23	levels	level	NOUN
cana-4145	53	24	of	of	ADP
cana-4145	53	25	security	security	NOUN
cana-4145	53	26	compared	compare	VERB
cana-4145	53	27	to	to	ADP
cana-4145	53	28	traditional	traditional	ADJ
cana-4145	53	29	methods	method	NOUN
cana-4145	53	30	.	.	PUNCT
cana-4145	54	1	the	the	DET
cana-4145	54	2	application	application	NOUN
cana-4145	54	3	of	of	ADP
cana-4145	54	4	chaotic	chaotic	ADJ
cana-4145	54	5	systems	system	NOUN
cana-4145	54	6	in	in	ADP
cana-4145	54	7	image	image	NOUN
cana-4145	54	8	encryption	encryption	NOUN
cana-4145	54	9	has	have	AUX
cana-4145	54	10	garnered	garner	VERB
cana-4145	54	11	significant	significant	ADJ
cana-4145	54	12	attention	attention	NOUN
cana-4145	54	13	in	in	ADP
cana-4145	54	14	recent	recent	ADJ
cana-4145	54	15	years	year	NOUN
cana-4145	54	16	.	.	PUNCT
cana-4145	55	1	tao	tao	PROPN
cana-4145	55	2	et	et	PROPN
cana-4145	55	3	al	al	PROPN
cana-4145	55	4	.	.	PROPN
cana-4145	56	1	(	(	PUNCT
cana-4145	56	2	2016	2016	NUM
cana-4145	56	3	)	)	PUNCT
cana-4145	57	1	[	[	X
cana-4145	57	2	14	14	NUM
cana-4145	57	3	]	]	PUNCT
cana-4145	57	4	demonstrated	demonstrate	VERB
cana-4145	57	5	how	how	SCONJ
cana-4145	57	6	the	the	DET
cana-4145	57	7	logistic	logistic	ADJ
cana-4145	57	8	map	map	NOUN
cana-4145	57	9	can	can	AUX
cana-4145	57	10	be	be	AUX
cana-4145	57	11	employed	employ	VERB
cana-4145	57	12	for	for	ADP
cana-4145	57	13	pixel	pixel	ADJ
cana-4145	57	14	-	-	PUNCT
cana-4145	57	15	level	level	NOUN
cana-4145	57	16	permutation	permutation	NOUN
cana-4145	57	17	and	and	CCONJ
cana-4145	57	18	diffusion	diffusion	NOUN
cana-4145	57	19	in	in	ADP
cana-4145	57	20	image	image	NOUN
cana-4145	57	21	encryption	encryption	NOUN
cana-4145	57	22	.	.	PUNCT
cana-4145	58	1	this	this	DET
cana-4145	58	2	method	method	NOUN
cana-4145	58	3	achieves	achieve	VERB
cana-4145	58	4	a	a	DET
cana-4145	58	5	high	high	ADJ
cana-4145	58	6	level	level	NOUN
cana-4145	58	7	of	of	ADP
cana-4145	58	8	confusion	confusion	NOUN
cana-4145	58	9	and	and	CCONJ
cana-4145	58	10	diffusion	diffusion	NOUN
cana-4145	58	11	,	,	PUNCT
cana-4145	58	12	which	which	PRON
cana-4145	58	13	are	be	AUX
cana-4145	58	14	essential	essential	ADJ
cana-4145	58	15	principles	principle	NOUN
cana-4145	58	16	in	in	ADP
cana-4145	58	17	cryptography	cryptography	NOUN
cana-4145	58	18	for	for	ADP
cana-4145	58	19	securing	secure	VERB
cana-4145	58	20	image	image	NOUN
cana-4145	58	21	data	datum	NOUN
cana-4145	58	22	.	.	PUNCT
cana-4145	59	1	similarly	similarly	ADV
cana-4145	59	2	,	,	PUNCT
cana-4145	59	3	chen	chen	PROPN
cana-4145	59	4	et	et	PROPN
cana-4145	59	5	al	al	PROPN
cana-4145	59	6	.	.	PROPN
cana-4145	59	7	(	(	PUNCT
cana-4145	59	8	2014	2014	NUM
cana-4145	59	9	)	)	PUNCT
cana-4145	59	10	explored	explore	VERB
cana-4145	59	11	the	the	DET
cana-4145	59	12	use	use	NOUN
cana-4145	59	13	of	of	ADP
cana-4145	59	14	the	the	DET
cana-4145	59	15	arnold	arnold	PROPN
cana-4145	59	16	cat	cat	PROPN
cana-4145	59	17	map	map	NOUN
cana-4145	59	18	in	in	ADP
cana-4145	59	19	combination	combination	NOUN
cana-4145	59	20	with	with	ADP
cana-4145	59	21	a	a	DET
cana-4145	59	22	chaotic	chaotic	ADJ
cana-4145	59	23	key	key	ADJ
cana-4145	59	24	generator	generator	NOUN
cana-4145	59	25	to	to	PART
cana-4145	59	26	perform	perform	VERB
cana-4145	59	27	encryption	encryption	NOUN
cana-4145	59	28	in	in	ADP
cana-4145	59	29	the	the	DET
cana-4145	59	30	frequency	frequency	NOUN
cana-4145	59	31	domain	domain	NOUN
cana-4145	59	32	,	,	PUNCT
cana-4145	59	33	providing	provide	VERB
cana-4145	59	34	both	both	CCONJ
cana-4145	59	35	spatial	spatial	ADJ
cana-4145	59	36	and	and	CCONJ
cana-4145	59	37	frequency	frequency	NOUN
cana-4145	59	38	domain	domain	NOUN
cana-4145	59	39	security	security	NOUN
cana-4145	59	40	for	for	ADP
cana-4145	59	41	image	image	NOUN
cana-4145	59	42	data	datum	NOUN
cana-4145	59	43	[	[	X
cana-4145	59	44	15	15	NUM
cana-4145	59	45	]	]	PUNCT
cana-4145	59	46	.	.	PUNCT
cana-4145	60	1	3	3	X
cana-4145	60	2	.	.	X
cana-4145	60	3	mathematical	mathematical	ADJ
cana-4145	60	4	background	background	NOUN
cana-4145	60	5	the	the	DET
cana-4145	60	6	combination	combination	NOUN
cana-4145	60	7	of	of	ADP
cana-4145	60	8	chaotic	chaotic	ADJ
cana-4145	60	9	systems	system	NOUN
cana-4145	60	10	and	and	CCONJ
cana-4145	60	11	rsa	rsa	PROPN
cana-4145	60	12	cryptography	cryptography	NOUN
cana-4145	60	13	has	have	AUX
cana-4145	60	14	gained	gain	VERB
cana-4145	60	15	significant	significant	ADJ
cana-4145	60	16	attention	attention	NOUN
cana-4145	60	17	to	to	PART
cana-4145	60	18	exploit	exploit	VERB
cana-4145	60	19	the	the	DET
cana-4145	60	20	advantages	advantage	NOUN
cana-4145	60	21	of	of	ADP
cana-4145	60	22	both	both	DET
cana-4145	60	23	approaches	approach	NOUN
cana-4145	60	24	.	.	PUNCT
cana-4145	61	1	zhou	zhou	PROPN
cana-4145	61	2	et	et	PROPN
cana-4145	61	3	al	al	PROPN
cana-4145	61	4	.	.	PROPN
cana-4145	62	1	(	(	PUNCT
cana-4145	62	2	2018	2018	NUM
cana-4145	62	3	)	)	PUNCT
cana-4145	62	4	proposed	propose	VERB
cana-4145	62	5	a	a	DET
cana-4145	62	6	hybrid	hybrid	ADJ
cana-4145	62	7	encryption	encryption	NOUN
cana-4145	62	8	scheme	scheme	NOUN
cana-4145	62	9	that	that	PRON
cana-4145	62	10	combines	combine	VERB
cana-4145	62	11	rsa	rsa	PROPN
cana-4145	62	12	and	and	CCONJ
cana-4145	62	13	a	a	DET
cana-4145	62	14	chaotic	chaotic	ADJ
cana-4145	62	15	system	system	NOUN
cana-4145	62	16	for	for	ADP
cana-4145	62	17	encrypting	encrypt	VERB
cana-4145	62	18	medical	medical	ADJ
cana-4145	62	19	images	image	NOUN
cana-4145	62	20	.	.	PUNCT
cana-4145	63	1	in	in	ADP
cana-4145	63	2	their	their	PRON
cana-4145	63	3	approach	approach	NOUN
cana-4145	63	4	,	,	PUNCT
cana-4145	63	5	the	the	DET
cana-4145	63	6	chaotic	chaotic	ADJ
cana-4145	63	7	system	system	NOUN
cana-4145	63	8	generates	generate	VERB
cana-4145	63	9	a	a	DET
cana-4145	63	10	sequence	sequence	NOUN
cana-4145	63	11	of	of	ADP
cana-4145	63	12	pseudo	pseudo	NOUN
cana-4145	63	13	-	-	ADJ
cana-4145	63	14	random	random	ADJ
cana-4145	63	15	numbers	number	NOUN
cana-4145	63	16	for	for	ADP
cana-4145	63	17	pixel	pixel	NOUN
cana-4145	63	18	shuffling	shuffling	NOUN
cana-4145	63	19	,	,	PUNCT
cana-4145	63	20	and	and	CCONJ
cana-4145	63	21	rsa	rsa	PROPN
cana-4145	63	22	is	be	AUX
cana-4145	63	23	used	use	VERB
cana-4145	63	24	to	to	PART
cana-4145	63	25	encrypt	encrypt	VERB
cana-4145	63	26	the	the	DET
cana-4145	63	27	key	key	NOUN
cana-4145	63	28	.	.	PUNCT
cana-4145	64	1	the	the	DET
cana-4145	64	2	hybrid	hybrid	ADJ
cana-4145	64	3	system	system	NOUN
cana-4145	64	4	exhibited	exhibit	VERB
cana-4145	64	5	high	high	ADJ
cana-4145	64	6	resistance	resistance	NOUN
cana-4145	64	7	to	to	ADP
cana-4145	64	8	various	various	ADJ
cana-4145	64	9	attacks	attack	NOUN
cana-4145	64	10	,	,	PUNCT
cana-4145	64	11	including	include	VERB
cana-4145	64	12	differential	differential	NOUN
cana-4145	64	13	and	and	CCONJ
cana-4145	64	14	statistical	statistical	ADJ
cana-4145	64	15	attacks	attack	NOUN
cana-4145	64	16	[	[	X
cana-4145	64	17	16	16	NUM
cana-4145	64	18	]	]	PUNCT
cana-4145	64	19	.	.	PUNCT
cana-4145	65	1	communications	communication	NOUN
cana-4145	65	2	on	on	ADP
cana-4145	65	3	applied	apply	VERB
cana-4145	65	4	nonlinear	nonlinear	ADJ
cana-4145	65	5	analysis	analysis	NOUN
cana-4145	65	6	issn	issn	NOUN
cana-4145	65	7	:	:	PUNCT
cana-4145	65	8	1074	1074	NUM
cana-4145	65	9	-	-	PUNCT
cana-4145	65	10	133x	133x	NUM
cana-4145	65	11	vol	vol	NOUN
cana-4145	65	12	x	x	NOUN
cana-4145	65	13	no	no	INTJ
cana-4145	65	14	.	.	PUNCT
cana-4145	66	1	y	y	PROPN
cana-4145	66	2	(	(	PUNCT
cana-4145	66	3	2025	2025	NUM
cana-4145	66	4	)	)	PUNCT
cana-4145	66	5	1351	1351	NUM
cana-4145	66	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4145	66	7	3.1	3.1	NUM
cana-4145	66	8	chaotic	chaotic	ADJ
cana-4145	66	9	map	map	NOUN
cana-4145	66	10	for	for	ADP
cana-4145	66	11	encryption	encryption	NOUN
cana-4145	66	12	:	:	PUNCT
cana-4145	66	13	a	a	DET
cana-4145	66	14	chaotic	chaotic	ADJ
cana-4145	66	15	map	map	NOUN
cana-4145	66	16	,	,	PUNCT
cana-4145	66	17	such	such	ADJ
cana-4145	66	18	as	as	ADP
cana-4145	66	19	the	the	DET
cana-4145	66	20	logistic	logistic	ADJ
cana-4145	66	21	map	map	NOUN
cana-4145	66	22	or	or	CCONJ
cana-4145	66	23	tent	tent	NOUN
cana-4145	66	24	map	map	NOUN
cana-4145	66	25	,	,	PUNCT
cana-4145	66	26	is	be	AUX
cana-4145	66	27	used	use	VERB
cana-4145	66	28	to	to	PART
cana-4145	66	29	generate	generate	VERB
cana-4145	66	30	a	a	DET
cana-4145	66	31	pseudorandom	pseudorandom	NOUN
cana-4145	66	32	sequence	sequence	NOUN
cana-4145	66	33	.	.	PUNCT
cana-4145	67	1	the	the	DET
cana-4145	67	2	chaotic	chaotic	ADJ
cana-4145	67	3	sequence	sequence	NOUN
cana-4145	67	4	is	be	AUX
cana-4145	67	5	employed	employ	VERB
cana-4145	67	6	to	to	PART
cana-4145	67	7	shuffle	shuffle	VERB
cana-4145	67	8	the	the	DET
cana-4145	67	9	image	image	NOUN
cana-4145	67	10	pixel	pixel	NOUN
cana-4145	67	11	positions	position	NOUN
cana-4145	67	12	and	and	CCONJ
cana-4145	67	13	modify	modify	VERB
cana-4145	67	14	pixel	pixel	NOUN
cana-4145	67	15	values	value	NOUN
cana-4145	67	16	.	.	PUNCT
cana-4145	68	1	understanding	understand	VERB
cana-4145	68	2	the	the	DET
cana-4145	68	3	principles	principle	NOUN
cana-4145	68	4	of	of	ADP
cana-4145	68	5	chaotic	chaotic	ADJ
cana-4145	68	6	systems	system	NOUN
cana-4145	68	7	is	be	AUX
cana-4145	68	8	crucial	crucial	ADJ
cana-4145	68	9	in	in	ADP
cana-4145	68	10	enhancing	enhance	VERB
cana-4145	68	11	the	the	DET
cana-4145	68	12	security	security	NOUN
cana-4145	68	13	of	of	ADP
cana-4145	68	14	cryptographic	cryptographic	ADJ
cana-4145	68	15	methods	method	NOUN
cana-4145	68	16	.	.	PUNCT
cana-4145	69	1	chaotic	chaotic	ADJ
cana-4145	69	2	systems	system	NOUN
cana-4145	69	3	are	be	AUX
cana-4145	69	4	characterized	characterize	VERB
cana-4145	69	5	by	by	ADP
cana-4145	69	6	their	their	PRON
cana-4145	69	7	sensitivity	sensitivity	NOUN
cana-4145	69	8	to	to	ADP
cana-4145	69	9	initial	initial	ADJ
cana-4145	69	10	conditions	condition	NOUN
cana-4145	69	11	,	,	PUNCT
cana-4145	69	12	leading	lead	VERB
cana-4145	69	13	to	to	ADP
cana-4145	69	14	unpredictable	unpredictable	ADJ
cana-4145	69	15	outcomes	outcome	NOUN
cana-4145	69	16	while	while	SCONJ
cana-4145	69	17	adhering	adhere	VERB
cana-4145	69	18	to	to	ADP
cana-4145	69	19	deterministic	deterministic	ADJ
cana-4145	69	20	rules	rule	NOUN
cana-4145	69	21	.	.	PUNCT
cana-4145	70	1	this	this	DET
cana-4145	70	2	property	property	NOUN
cana-4145	70	3	is	be	AUX
cana-4145	70	4	particularly	particularly	ADV
cana-4145	70	5	beneficial	beneficial	ADJ
cana-4145	70	6	in	in	ADP
cana-4145	70	7	cryptography	cryptography	NOUN
cana-4145	70	8	,	,	PUNCT
cana-4145	70	9	as	as	SCONJ
cana-4145	70	10	it	it	PRON
cana-4145	70	11	introduces	introduce	VERB
cana-4145	70	12	complexity	complexity	NOUN
cana-4145	70	13	and	and	CCONJ
cana-4145	70	14	randomness	randomness	NOUN
cana-4145	70	15	into	into	ADP
cana-4145	70	16	the	the	DET
cana-4145	70	17	encryption	encryption	NOUN
cana-4145	70	18	process	process	NOUN
cana-4145	70	19	[	[	X
cana-4145	70	20	17	17	NUM
cana-4145	70	21	]	]	PUNCT
cana-4145	70	22	.	.	PUNCT
cana-4145	71	1	the	the	DET
cana-4145	71	2	integration	integration	NOUN
cana-4145	71	3	of	of	ADP
cana-4145	71	4	chaotic	chaotic	ADJ
cana-4145	71	5	systems	system	NOUN
cana-4145	71	6	with	with	ADP
cana-4145	71	7	traditional	traditional	ADJ
cana-4145	71	8	cryptographic	cryptographic	ADJ
cana-4145	71	9	algorithms	algorithm	NOUN
cana-4145	71	10	,	,	PUNCT
cana-4145	71	11	such	such	ADJ
cana-4145	71	12	as	as	ADP
cana-4145	71	13	rsa	rsa	NOUN
cana-4145	71	14	,	,	PUNCT
cana-4145	71	15	can	can	AUX
cana-4145	71	16	significantly	significantly	ADV
cana-4145	71	17	strengthen	strengthen	VERB
cana-4145	71	18	security	security	NOUN
cana-4145	71	19	measures	measure	NOUN
cana-4145	71	20	by	by	ADP
cana-4145	71	21	implementing	implement	VERB
cana-4145	71	22	unpredictable	unpredictable	ADJ
cana-4145	71	23	key	key	ADJ
cana-4145	71	24	generation	generation	NOUN
cana-4145	71	25	methods	method	NOUN
cana-4145	71	26	.	.	PUNCT
cana-4145	72	1	as	as	SCONJ
cana-4145	72	2	noted	note	VERB
cana-4145	72	3	,	,	PUNCT
cana-4145	72	4	the	the	DET
cana-4145	72	5	hybrid	hybrid	ADJ
cana-4145	72	6	approach	approach	NOUN
cana-4145	72	7	benefits	benefit	NOUN
cana-4145	72	8	from	from	ADP
cana-4145	72	9	the	the	DET
cana-4145	72	10	unpredictability	unpredictability	NOUN
cana-4145	72	11	of	of	ADP
cana-4145	72	12	chaos	chaos	NOUN
cana-4145	72	13	in	in	ADP
cana-4145	72	14	key	key	ADJ
cana-4145	72	15	management	management	NOUN
cana-4145	72	16	,	,	PUNCT
cana-4145	72	17	while	while	SCONJ
cana-4145	72	18	also	also	ADV
cana-4145	72	19	leveraging	leverage	VERB
cana-4145	72	20	the	the	DET
cana-4145	72	21	established	establish	VERB
cana-4145	72	22	security	security	NOUN
cana-4145	72	23	of	of	ADP
cana-4145	72	24	rsa	rsa	PROPN
cana-4145	72	25	algorithms	algorithm	NOUN
cana-4145	72	26	through	through	ADP
cana-4145	72	27	the	the	DET
cana-4145	72	28	difficulty	difficulty	NOUN
cana-4145	72	29	of	of	ADP
cana-4145	72	30	integer	integer	NOUN
cana-4145	72	31	factorization	factorization	NOUN
cana-4145	72	32	.	.	PUNCT
cana-4145	73	1	furthermore	furthermore	ADV
cana-4145	73	2	,	,	PUNCT
cana-4145	73	3	by	by	ADP
cana-4145	73	4	incorporating	incorporate	VERB
cana-4145	73	5	principles	principle	NOUN
cana-4145	73	6	of	of	ADP
cana-4145	73	7	diffusion	diffusion	NOUN
cana-4145	73	8	and	and	CCONJ
cana-4145	73	9	confusion	confusion	NOUN
cana-4145	73	10	,	,	PUNCT
cana-4145	73	11	as	as	SCONJ
cana-4145	73	12	suggested	suggest	VERB
cana-4145	73	13	in	in	ADP
cana-4145	73	14	previous	previous	ADJ
cana-4145	73	15	studies	study	NOUN
cana-4145	73	16	,	,	PUNCT
cana-4145	73	17	encryption	encryption	NOUN
cana-4145	73	18	algorithms	algorithm	NOUN
cana-4145	73	19	can	can	AUX
cana-4145	73	20	achieve	achieve	VERB
cana-4145	73	21	higher	high	ADJ
cana-4145	73	22	levels	level	NOUN
cana-4145	73	23	of	of	ADP
cana-4145	73	24	security	security	NOUN
cana-4145	73	25	,	,	PUNCT
cana-4145	73	26	effectively	effectively	ADV
cana-4145	73	27	protecting	protect	VERB
cana-4145	73	28	sensitive	sensitive	ADJ
cana-4145	73	29	data	datum	NOUN
cana-4145	73	30	from	from	ADP
cana-4145	73	31	unauthorized	unauthorized	ADJ
cana-4145	73	32	access	access	NOUN
cana-4145	73	33	.	.	PUNCT
cana-4145	74	1	ultimately	ultimately	ADV
cana-4145	74	2	,	,	PUNCT
cana-4145	74	3	the	the	DET
cana-4145	74	4	synergy	synergy	NOUN
cana-4145	74	5	between	between	ADP
cana-4145	74	6	chaotic	chaotic	ADJ
cana-4145	74	7	systems	system	NOUN
cana-4145	74	8	and	and	CCONJ
cana-4145	74	9	established	establish	VERB
cana-4145	74	10	cryptographic	cryptographic	ADJ
cana-4145	74	11	techniques	technique	NOUN
cana-4145	74	12	offers	offer	VERB
cana-4145	74	13	a	a	DET
cana-4145	74	14	promising	promising	ADJ
cana-4145	74	15	avenue	avenue	NOUN
cana-4145	74	16	for	for	ADP
cana-4145	74	17	developing	develop	VERB
cana-4145	74	18	robust	robust	ADJ
cana-4145	74	19	encryption	encryption	NOUN
cana-4145	74	20	systems	system	NOUN
cana-4145	74	21	[	[	X
cana-4145	74	22	18	18	NUM
cana-4145	74	23	]	]	PUNCT
cana-4145	74	24	.	.	PUNCT
cana-4145	75	1	chaotic	chaotic	ADJ
cana-4145	75	2	systems	system	NOUN
cana-4145	75	3	are	be	AUX
cana-4145	75	4	deterministic	deterministic	ADJ
cana-4145	75	5	but	but	CCONJ
cana-4145	75	6	appear	appear	VERB
cana-4145	75	7	random	random	ADJ
cana-4145	75	8	due	due	ADP
cana-4145	75	9	to	to	ADP
cana-4145	75	10	their	their	PRON
cana-4145	75	11	sensitive	sensitive	ADJ
cana-4145	75	12	dependence	dependence	NOUN
cana-4145	75	13	on	on	ADP
cana-4145	75	14	initial	initial	ADJ
cana-4145	75	15	conditions	condition	NOUN
cana-4145	75	16	.	.	PUNCT
cana-4145	76	1	for	for	ADP
cana-4145	76	2	this	this	DET
cana-4145	76	3	algorithm	algorithm	NOUN
cana-4145	76	4	,	,	PUNCT
cana-4145	76	5	the	the	DET
cana-4145	76	6	logistic	logistic	ADJ
cana-4145	76	7	map	map	NOUN
cana-4145	76	8	is	be	AUX
cana-4145	76	9	used	use	VERB
cana-4145	76	10	to	to	PART
cana-4145	76	11	generate	generate	VERB
cana-4145	76	12	a	a	DET
cana-4145	76	13	pseudo	pseudo	NOUN
cana-4145	76	14	-	-	ADJ
cana-4145	76	15	random	random	ADJ
cana-4145	76	16	sequence	sequence	NOUN
cana-4145	76	17	.	.	PUNCT
cana-4145	77	1	in	in	ADP
cana-4145	77	2	this	this	DET
cana-4145	77	3	work	work	NOUN
cana-4145	77	4	,	,	PUNCT
cana-4145	77	5	we	we	PRON
cana-4145	77	6	use	use	VERB
cana-4145	77	7	a	a	DET
cana-4145	77	8	logistic	logistic	ADJ
cana-4145	77	9	map	map	NOUN
cana-4145	77	10	to	to	PART
cana-4145	77	11	generate	generate	VERB
cana-4145	77	12	chaotic	chaotic	ADJ
cana-4145	77	13	sequences	sequence	NOUN
cana-4145	77	14	.	.	PUNCT
cana-4145	78	1	the	the	DET
cana-4145	78	2	logistic	logistic	ADJ
cana-4145	78	3	map	map	NOUN
cana-4145	78	4	is	be	AUX
cana-4145	78	5	defined	define	VERB
cana-4145	78	6	by	by	ADP
cana-4145	78	7	the	the	DET
cana-4145	78	8	equation	equation	NOUN
cana-4145	78	9	:	:	PUNCT
cana-4145	78	10	𝑥𝑛+1	𝑥𝑛+1	PROPN
cana-4145	78	11	=	=	SYM
cana-4145	78	12	𝑟	𝑟	NOUN
cana-4145	78	13	.	.	PUNCT
cana-4145	79	1	𝑥𝑛(1	𝑥𝑛(1	NOUN
cana-4145	79	2	−	−	PROPN
cana-4145	79	3	𝑥𝑛	𝑥𝑛	PROPN
cana-4145	79	4	)	)	PUNCT
cana-4145	79	5	(	(	PUNCT
cana-4145	79	6	1	1	X
cana-4145	79	7	)	)	PUNCT
cana-4145	79	8	where	where	SCONJ
cana-4145	79	9	:	:	PUNCT
cana-4145	79	10	•	•	NUM
cana-4145	79	11	𝑥𝑛	𝑥𝑛	NOUN
cana-4145	79	12	is	be	AUX
cana-4145	79	13	the	the	DET
cana-4145	79	14	state	state	NOUN
cana-4145	79	15	of	of	ADP
cana-4145	79	16	the	the	DET
cana-4145	79	17	system	system	NOUN
cana-4145	79	18	at	at	ADP
cana-4145	79	19	iteration	iteration	NOUN
cana-4145	79	20	n	n	CCONJ
cana-4145	79	21	,	,	PUNCT
cana-4145	79	22	•	•	PRON
cana-4145	79	23	r	r	NOUN
cana-4145	79	24	is	be	AUX
cana-4145	79	25	the	the	DET
cana-4145	79	26	control	control	NOUN
cana-4145	79	27	parameter	parameter	NOUN
cana-4145	79	28	(	(	PUNCT
cana-4145	79	29	typically	typically	ADV
cana-4145	79	30	3.57	3.57	NUM
cana-4145	79	31	≤	≤	NOUN
cana-4145	79	32	r	r	NOUN
cana-4145	79	33	≤4	≤4	NOUN
cana-4145	79	34	for	for	ADP
cana-4145	79	35	chaotic	chaotic	ADJ
cana-4145	79	36	behaviour	behaviour	NOUN
cana-4145	79	37	)	)	PUNCT
cana-4145	79	38	,	,	PUNCT
cana-4145	79	39	•	•	NUM
cana-4145	79	40	𝑥0	𝑥0	NOUN
cana-4145	79	41	is	be	AUX
cana-4145	79	42	the	the	DET
cana-4145	79	43	initial	initial	ADJ
cana-4145	79	44	condition	condition	NOUN
cana-4145	79	45	(	(	PUNCT
cana-4145	79	46	a	a	DET
cana-4145	79	47	number	number	NOUN
cana-4145	79	48	between	between	ADP
cana-4145	79	49	0	0	NUM
cana-4145	79	50	and	and	CCONJ
cana-4145	79	51	1	1	NUM
cana-4145	79	52	)	)	PUNCT
cana-4145	79	53	.	.	PUNCT
cana-4145	80	1	this	this	DET
cana-4145	80	2	system	system	NOUN
cana-4145	80	3	generates	generate	VERB
cana-4145	80	4	a	a	DET
cana-4145	80	5	chaotic	chaotic	ADJ
cana-4145	80	6	sequence	sequence	NOUN
cana-4145	80	7	that	that	PRON
cana-4145	80	8	can	can	AUX
cana-4145	80	9	be	be	AUX
cana-4145	80	10	used	use	VERB
cana-4145	80	11	for	for	ADP
cana-4145	80	12	pixel	pixel	ADJ
cana-4145	80	13	permutation	permutation	NOUN
cana-4145	80	14	[	[	X
cana-4145	80	15	19	19	NUM
cana-4145	80	16	]	]	PUNCT
cana-4145	80	17	.	.	PUNCT
cana-4145	81	1	3.2	3.2	NUM
cana-4145	81	2	rsa	rsa	PROPN
cana-4145	81	3	algorithm	algorithm	NOUN
cana-4145	81	4	the	the	DET
cana-4145	81	5	rsa	rsa	PROPN
cana-4145	81	6	algorithm	algorithm	NOUN
cana-4145	81	7	is	be	AUX
cana-4145	81	8	used	use	VERB
cana-4145	81	9	for	for	ADP
cana-4145	81	10	key	key	ADJ
cana-4145	81	11	generation	generation	NOUN
cana-4145	81	12	,	,	PUNCT
cana-4145	81	13	encryption	encryption	NOUN
cana-4145	81	14	,	,	PUNCT
cana-4145	81	15	and	and	CCONJ
cana-4145	81	16	decryption	decryption	NOUN
cana-4145	81	17	.	.	PUNCT
cana-4145	82	1	the	the	DET
cana-4145	82	2	application	application	NOUN
cana-4145	82	3	of	of	ADP
cana-4145	82	4	rsa	rsa	PROPN
cana-4145	82	5	cryptography	cryptography	NOUN
cana-4145	82	6	in	in	ADP
cana-4145	82	7	image	image	NOUN
cana-4145	82	8	decryption	decryption	NOUN
cana-4145	82	9	represents	represent	VERB
cana-4145	82	10	a	a	DET
cana-4145	82	11	significant	significant	ADJ
cana-4145	82	12	advancement	advancement	NOUN
cana-4145	82	13	in	in	ADP
cana-4145	82	14	data	datum	NOUN
cana-4145	82	15	security	security	NOUN
cana-4145	82	16	,	,	PUNCT
cana-4145	82	17	particularly	particularly	ADV
cana-4145	82	18	in	in	ADP
cana-4145	82	19	safeguarding	safeguard	VERB
cana-4145	82	20	sensitive	sensitive	ADJ
cana-4145	82	21	visual	visual	ADJ
cana-4145	82	22	information	information	NOUN
cana-4145	82	23	.	.	PUNCT
cana-4145	83	1	by	by	ADP
cana-4145	83	2	leveraging	leverage	VERB
cana-4145	83	3	the	the	DET
cana-4145	83	4	mathematical	mathematical	ADJ
cana-4145	83	5	complexity	complexity	NOUN
cana-4145	83	6	of	of	ADP
cana-4145	83	7	prime	prime	ADJ
cana-4145	83	8	factorization	factorization	NOUN
cana-4145	83	9	,	,	PUNCT
cana-4145	83	10	rsa	rsa	PROPN
cana-4145	83	11	creates	create	VERB
cana-4145	83	12	a	a	DET
cana-4145	83	13	secure	secure	ADJ
cana-4145	83	14	framework	framework	NOUN
cana-4145	83	15	for	for	ADP
cana-4145	83	16	decrypting	decrypting	NOUN
cana-4145	83	17	images	image	NOUN
cana-4145	83	18	that	that	PRON
cana-4145	83	19	have	have	AUX
cana-4145	83	20	been	be	AUX
cana-4145	83	21	encrypted	encrypt	VERB
cana-4145	83	22	for	for	ADP
cana-4145	83	23	confidentiality	confidentiality	NOUN
cana-4145	83	24	[	[	X
cana-4145	83	25	20	20	NUM
cana-4145	83	26	]	]	PUNCT
cana-4145	83	27	.	.	PUNCT
cana-4145	84	1	this	this	DET
cana-4145	84	2	method	method	NOUN
cana-4145	84	3	allows	allow	VERB
cana-4145	84	4	for	for	ADP
cana-4145	84	5	the	the	DET
cana-4145	84	6	successful	successful	ADJ
cana-4145	84	7	transmission	transmission	NOUN
cana-4145	84	8	and	and	CCONJ
cana-4145	84	9	retrieval	retrieval	NOUN
cana-4145	84	10	of	of	ADP
cana-4145	84	11	image	image	NOUN
cana-4145	84	12	data	datum	NOUN
cana-4145	84	13	,	,	PUNCT
cana-4145	84	14	ensuring	ensure	VERB
cana-4145	84	15	that	that	SCONJ
cana-4145	84	16	only	only	ADV
cana-4145	84	17	authorized	authorize	VERB
cana-4145	84	18	users	user	NOUN
cana-4145	84	19	can	can	AUX
cana-4145	84	20	access	access	VERB
cana-4145	84	21	the	the	DET
cana-4145	84	22	original	original	ADJ
cana-4145	84	23	content	content	NOUN
cana-4145	84	24	.	.	PUNCT
cana-4145	85	1	additionally	additionally	ADV
cana-4145	85	2	,	,	PUNCT
cana-4145	85	3	the	the	DET
cana-4145	85	4	integration	integration	NOUN
cana-4145	85	5	of	of	ADP
cana-4145	85	6	chaotic	chaotic	ADJ
cana-4145	85	7	systems	system	NOUN
cana-4145	85	8	further	far	ADV
cana-4145	85	9	enhances	enhance	VERB
cana-4145	85	10	the	the	DET
cana-4145	85	11	robustness	robustness	NOUN
cana-4145	85	12	of	of	ADP
cana-4145	85	13	rsa	rsa	NOUN
cana-4145	85	14	by	by	ADP
cana-4145	85	15	introducing	introduce	VERB
cana-4145	85	16	unpredictability	unpredictability	NOUN
cana-4145	85	17	and	and	CCONJ
cana-4145	85	18	diversity	diversity	NOUN
cana-4145	85	19	in	in	ADP
cana-4145	85	20	key	key	ADJ
cana-4145	85	21	generation	generation	NOUN
cana-4145	85	22	,	,	PUNCT
cana-4145	85	23	which	which	PRON
cana-4145	85	24	complicates	complicate	VERB
cana-4145	85	25	potential	potential	ADJ
cana-4145	85	26	attacks	attack	NOUN
cana-4145	85	27	.	.	PUNCT
cana-4145	86	1	as	as	SCONJ
cana-4145	86	2	observed	observe	VERB
cana-4145	86	3	,	,	PUNCT
cana-4145	86	4	the	the	DET
cana-4145	86	5	main	main	ADJ
cana-4145	86	6	strength	strength	NOUN
cana-4145	86	7	of	of	ADP
cana-4145	86	8	the	the	DET
cana-4145	86	9	proposed	propose	VERB
cana-4145	86	10	system	system	NOUN
cana-4145	86	11	is	be	AUX
cana-4145	86	12	the	the	DET
cana-4145	86	13	chaotic	chaotic	ADJ
cana-4145	86	14	variable	variable	ADJ
cana-4145	86	15	key	key	ADJ
cana-4145	86	16	generator	generator	NOUN
cana-4145	86	17	that	that	PRON
cana-4145	86	18	changes	change	VERB
cana-4145	86	19	the	the	DET
cana-4145	86	20	value	value	NOUN
cana-4145	86	21	of	of	ADP
cana-4145	86	22	encrypted	encrypt	VERB
cana-4145	86	23	message	message	NOUN
cana-4145	86	24	whenever	whenever	SCONJ
cana-4145	86	25	a	a	DET
cana-4145	86	26	different	different	ADJ
cana-4145	86	27	number	number	NOUN
cana-4145	86	28	of	of	ADP
cana-4145	86	29	keys	key	NOUN
cana-4145	86	30	is	be	AUX
cana-4145	86	31	used	use	VERB
cana-4145	86	32	.	.	PUNCT
cana-4145	87	1	moreover	moreover	ADV
cana-4145	87	2	,	,	PUNCT
cana-4145	87	3	combining	combine	VERB
cana-4145	87	4	rsa	rsa	PROPN
cana-4145	87	5	with	with	ADP
cana-4145	87	6	chaos	chaos	NOUN
cana-4145	87	7	theory	theory	NOUN
cana-4145	87	8	not	not	PART
cana-4145	87	9	only	only	ADV
cana-4145	87	10	improves	improve	VERB
cana-4145	87	11	encryption	encryption	NOUN
cana-4145	87	12	strength	strength	NOUN
cana-4145	87	13	but	but	CCONJ
cana-4145	87	14	also	also	ADV
cana-4145	87	15	increases	increase	VERB
cana-4145	87	16	both	both	DET
cana-4145	87	17	performance	performance	NOUN
cana-4145	87	18	and	and	CCONJ
cana-4145	87	19	security	security	NOUN
cana-4145	87	20	in	in	ADP
cana-4145	87	21	image	image	NOUN
cana-4145	87	22	decryption	decryption	NOUN
cana-4145	87	23	tasks	task	NOUN
cana-4145	87	24	,	,	PUNCT
cana-4145	87	25	solidifying	solidify	VERB
cana-4145	87	26	its	its	PRON
cana-4145	87	27	role	role	NOUN
cana-4145	87	28	in	in	ADP
cana-4145	87	29	modern	modern	ADJ
cana-4145	87	30	cryptographic	cryptographic	ADJ
cana-4145	87	31	techniques	technique	NOUN
cana-4145	87	32	[	[	X
cana-4145	87	33	21	21	NUM
cana-4145	87	34	-	-	SYM
cana-4145	87	35	22	22	NUM
cana-4145	87	36	]	]	PUNCT
cana-4145	87	37	.	.	PUNCT
cana-4145	88	1	communications	communication	NOUN
cana-4145	88	2	on	on	ADP
cana-4145	88	3	applied	apply	VERB
cana-4145	88	4	nonlinear	nonlinear	ADJ
cana-4145	88	5	analysis	analysis	NOUN
cana-4145	88	6	issn	issn	NOUN
cana-4145	88	7	:	:	PUNCT
cana-4145	88	8	1074	1074	NUM
cana-4145	88	9	-	-	PUNCT
cana-4145	88	10	133x	133x	NUM
cana-4145	88	11	vol	vol	NOUN
cana-4145	88	12	x	x	NOUN
cana-4145	88	13	no	no	INTJ
cana-4145	88	14	.	.	PUNCT
cana-4145	89	1	y	y	PROPN
cana-4145	89	2	(	(	PUNCT
cana-4145	89	3	2025	2025	NUM
cana-4145	89	4	)	)	PUNCT
cana-4145	89	5	1352	1352	NUM
cana-4145	90	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-4145	90	2	rsa	rsa	NOUN
cana-4145	90	3	cryptography	cryptography	NOUN
cana-4145	90	4	is	be	AUX
cana-4145	90	5	a	a	DET
cana-4145	90	6	well	well	ADV
cana-4145	90	7	-	-	PUNCT
cana-4145	90	8	known	know	VERB
cana-4145	90	9	asymmetric	asymmetric	ADJ
cana-4145	90	10	encryption	encryption	NOUN
cana-4145	90	11	algorithm	algorithm	NOUN
cana-4145	90	12	that	that	PRON
cana-4145	90	13	has	have	AUX
cana-4145	90	14	been	be	AUX
cana-4145	90	15	widely	widely	ADV
cana-4145	90	16	adopted	adopt	VERB
cana-4145	90	17	for	for	ADP
cana-4145	90	18	secure	secure	ADJ
cana-4145	90	19	data	datum	NOUN
cana-4145	90	20	exchange	exchange	NOUN
cana-4145	90	21	.	.	PUNCT
cana-4145	91	1	in	in	ADP
cana-4145	91	2	rsa	rsa	PROPN
cana-4145	91	3	,	,	PUNCT
cana-4145	91	4	a	a	DET
cana-4145	91	5	pair	pair	NOUN
cana-4145	91	6	of	of	ADP
cana-4145	91	7	keys	key	NOUN
cana-4145	91	8	a	a	DET
cana-4145	91	9	public	public	ADJ
cana-4145	91	10	key	key	NOUN
cana-4145	91	11	and	and	CCONJ
cana-4145	91	12	a	a	DET
cana-4145	91	13	private	private	ADJ
cana-4145	91	14	key	key	NOUN
cana-4145	91	15	—	—	PUNCT
cana-4145	91	16	are	be	AUX
cana-4145	91	17	used	use	VERB
cana-4145	91	18	for	for	ADP
cana-4145	91	19	encryption	encryption	NOUN
cana-4145	91	20	and	and	CCONJ
cana-4145	91	21	decryption	decryption	NOUN
cana-4145	91	22	,	,	PUNCT
cana-4145	91	23	respectively	respectively	ADV
cana-4145	91	24	.	.	PUNCT
cana-4145	92	1	the	the	DET
cana-4145	92	2	primary	primary	ADJ
cana-4145	92	3	advantage	advantage	NOUN
cana-4145	92	4	of	of	ADP
cana-4145	92	5	rsa	rsa	PROPN
cana-4145	92	6	is	be	AUX
cana-4145	92	7	that	that	SCONJ
cana-4145	92	8	it	it	PRON
cana-4145	92	9	allows	allow	VERB
cana-4145	92	10	the	the	DET
cana-4145	92	11	secure	secure	ADJ
cana-4145	92	12	exchange	exchange	NOUN
cana-4145	92	13	of	of	ADP
cana-4145	92	14	keys	key	NOUN
cana-4145	92	15	over	over	ADP
cana-4145	92	16	an	an	DET
cana-4145	92	17	insecure	insecure	ADJ
cana-4145	92	18	communication	communication	NOUN
cana-4145	92	19	channel	channel	NOUN
cana-4145	92	20	,	,	PUNCT
cana-4145	92	21	ensuring	ensure	VERB
cana-4145	92	22	that	that	SCONJ
cana-4145	92	23	only	only	ADV
cana-4145	92	24	authorized	authorize	VERB
cana-4145	92	25	users	user	NOUN
cana-4145	92	26	can	can	AUX
cana-4145	92	27	access	access	VERB
cana-4145	92	28	the	the	DET
cana-4145	92	29	encrypted	encrypt	VERB
cana-4145	92	30	data	datum	NOUN
cana-4145	92	31	[	[	X
cana-4145	92	32	24	24	NUM
cana-4145	92	33	-	-	SYM
cana-4145	92	34	25	25	NUM
cana-4145	92	35	]	]	PUNCT
cana-4145	92	36	.	.	PUNCT
cana-4145	93	1	the	the	DET
cana-4145	93	2	rsa	rsa	PROPN
cana-4145	93	3	key	key	ADJ
cana-4145	93	4	generation	generation	NOUN
cana-4145	93	5	process	process	NOUN
cana-4145	93	6	is	be	AUX
cana-4145	93	7	as	as	SCONJ
cana-4145	93	8	follows	follow	VERB
cana-4145	93	9	in	in	ADP
cana-4145	93	10	detail	detail	NOUN
cana-4145	93	11	:	:	PUNCT
cana-4145	93	12	step	step	NOUN
cana-4145	93	13	1	1	NUM
cana-4145	93	14	.	.	PUNCT
cana-4145	94	1	two	two	NUM
cana-4145	94	2	large	large	ADJ
cana-4145	94	3	prime	prime	ADJ
cana-4145	94	4	numbers	number	NOUN
cana-4145	94	5	can	can	AUX
cana-4145	94	6	be	be	AUX
cana-4145	94	7	selected	select	VERB
cana-4145	94	8	randomly	randomly	ADV
cana-4145	94	9	,	,	PUNCT
cana-4145	94	10	p	p	NOUN
cana-4145	94	11	and	and	CCONJ
cana-4145	94	12	q.	q.	PROPN
cana-4145	94	13	step	step	NOUN
cana-4145	94	14	2	2	NUM
cana-4145	94	15	.	.	PUNCT
cana-4145	94	16	one	one	NUM
cana-4145	94	17	key	key	ADJ
cana-4145	94	18	member	member	NOUN
cana-4145	94	19	n	n	NOUN
cana-4145	94	20	and	and	CCONJ
cana-4145	94	21	euler	euler	PROPN
cana-4145	94	22	’s	’s	PART
cana-4145	94	23	totient	totient	PROPN
cana-4145	94	24	function	function	PROPN
cana-4145	94	25	φ	φ	PROPN
cana-4145	94	26	(	(	PUNCT
cana-4145	94	27	n	n	CCONJ
cana-4145	94	28	)	)	PUNCT
cana-4145	94	29	can	can	AUX
cana-4145	94	30	be	be	AUX
cana-4145	94	31	calculated	calculate	VERB
cana-4145	94	32	by	by	ADP
cana-4145	94	33	:	:	PUNCT
cana-4145	94	34	n	n	PROPN
cana-4145	94	35	=	=	SYM
cana-4145	94	36	p	p	X
cana-4145	94	37	×	×	PROPN
cana-4145	94	38	q	q	NOUN
cana-4145	94	39	,	,	PUNCT
cana-4145	94	40	φ(n	φ(n	ADJ
cana-4145	94	41	)	)	PUNCT
cana-4145	94	42	=	=	NOUN
cana-4145	95	1	(	(	PUNCT
cana-4145	95	2	p	p	NOUN
cana-4145	95	3	−	−	PROPN
cana-4145	95	4	1	1	NUM
cana-4145	95	5	)	)	PUNCT
cana-4145	95	6	×	×	NOUN
cana-4145	95	7	(	(	PUNCT
cana-4145	95	8	q	q	NOUN
cana-4145	95	9	−	−	PROPN
cana-4145	95	10	1	1	NUM
cana-4145	95	11	)	)	PUNCT
cana-4145	95	12	(	(	PUNCT
cana-4145	95	13	2	2	X
cana-4145	95	14	)	)	PUNCT
cana-4145	95	15	step	step	NOUN
cana-4145	95	16	3	3	NUM
cana-4145	95	17	.	.	PUNCT
cana-4145	96	1	the	the	DET
cana-4145	96	2	encryption	encryption	NOUN
cana-4145	96	3	keys	key	NOUN
cana-4145	96	4	can	can	AUX
cana-4145	96	5	be	be	AUX
cana-4145	96	6	selected	select	VERB
cana-4145	96	7	randomly	randomly	ADV
cana-4145	96	8	that	that	PRON
cana-4145	96	9	meet	meet	VERB
cana-4145	96	10	the	the	DET
cana-4145	96	11	following	follow	VERB
cana-4145	96	12	two	two	NUM
cana-4145	96	13	conditions	condition	NOUN
cana-4145	96	14	:	:	PUNCT
cana-4145	96	15	1	1	NUM
cana-4145	96	16	<	<	X
cana-4145	96	17	e	e	X
cana-4145	96	18	<	<	X
cana-4145	96	19	φ(n	φ(n	PROPN
cana-4145	96	20	)	)	PUNCT
cana-4145	96	21	,	,	PUNCT
cana-4145	96	22	gcd(e	gcd(e	PROPN
cana-4145	96	23	,	,	PUNCT
cana-4145	96	24	φ(n	φ(n	NOUN
cana-4145	96	25	)	)	PUNCT
cana-4145	96	26	)	)	PUNCT
cana-4145	97	1	=	=	SYM
cana-4145	97	2	1	1	NUM
cana-4145	97	3	(	(	PUNCT
cana-4145	97	4	3	3	NUM
cana-4145	97	5	)	)	PUNCT
cana-4145	97	6	where	where	SCONJ
cana-4145	97	7	the	the	DET
cana-4145	97	8	logic	logic	NOUN
cana-4145	97	9	expression	expression	NOUN
cana-4145	97	10	gcd(e	gcd(e	PROPN
cana-4145	97	11	,	,	PUNCT
cana-4145	97	12	φ(n	φ(n	ADJ
cana-4145	97	13	)	)	PUNCT
cana-4145	97	14	)	)	PUNCT
cana-4145	97	15	presents	present	VERB
cana-4145	97	16	the	the	DET
cana-4145	97	17	great	great	ADJ
cana-4145	97	18	common	common	ADJ
cana-4145	97	19	divisor	divisor	NOUN
cana-4145	97	20	between	between	ADP
cana-4145	97	21	e	e	NOUN
cana-4145	97	22	and	and	CCONJ
cana-4145	97	23	φ(n	φ(n	NOUN
cana-4145	97	24	)	)	PUNCT
cana-4145	97	25	,	,	PUNCT
cana-4145	97	26	that	that	ADV
cana-4145	97	27	is	is	ADV
cana-4145	97	28	,	,	PUNCT
cana-4145	97	29	e	e	PROPN
cana-4145	97	30	and	and	CCONJ
cana-4145	97	31	φ	φ	PROPN
cana-4145	97	32	(	(	PUNCT
cana-4145	97	33	n	n	CCONJ
cana-4145	97	34	)	)	PUNCT
cana-4145	97	35	are	be	AUX
cana-4145	97	36	prime	prime	ADJ
cana-4145	97	37	numbers	number	NOUN
cana-4145	97	38	.	.	PUNCT
cana-4145	98	1	step	step	NOUN
cana-4145	98	2	4	4	NUM
cana-4145	98	3	.	.	PUNCT
cana-4145	99	1	the	the	DET
cana-4145	99	2	decryption	decryption	NOUN
cana-4145	99	3	key	key	NOUN
cana-4145	99	4	d	d	NOUN
cana-4145	99	5	can	can	AUX
cana-4145	99	6	be	be	AUX
cana-4145	99	7	calculated	calculate	VERB
cana-4145	99	8	by	by	ADP
cana-4145	99	9	the	the	DET
cana-4145	99	10	following	follow	VERB
cana-4145	99	11	formula	formula	NOUN
cana-4145	99	12	:	:	PUNCT
cana-4145	99	13	e・d	e・d	X
cana-4145	99	14	=	=	SYM
cana-4145	99	15	1(mod	1(mod	NUM
cana-4145	99	16	φ(n	φ(n	PROPN
cana-4145	99	17	)	)	PUNCT
cana-4145	99	18	)	)	PUNCT
cana-4145	99	19	,	,	PUNCT
cana-4145	99	20	0	0	NUM
cana-4145	99	21	⩽	⩽	PROPN
cana-4145	99	22	d	d	PROPN
cana-4145	99	23	⩽	⩽	ADJ
cana-4145	99	24	n	n	CCONJ
cana-4145	99	25	(	(	PUNCT
cana-4145	99	26	4	4	NUM
cana-4145	99	27	)	)	PUNCT
cana-4145	99	28	where	where	SCONJ
cana-4145	99	29	mod	mod	ADJ
cana-4145	99	30	φ(n	φ(n	NOUN
cana-4145	99	31	)	)	PUNCT
cana-4145	99	32	represents	represent	VERB
cana-4145	99	33	the	the	DET
cana-4145	99	34	modulo	modulo	ADJ
cana-4145	99	35	operation	operation	NOUN
cana-4145	99	36	.	.	PUNCT
cana-4145	100	1	given	give	VERB
cana-4145	100	2	the	the	DET
cana-4145	100	3	above	above	ADJ
cana-4145	100	4	,	,	PUNCT
cana-4145	100	5	the	the	DET
cana-4145	100	6	public	public	ADJ
cana-4145	100	7	key	key	NOUN
cana-4145	100	8	(	(	PUNCT
cana-4145	100	9	e	e	NOUN
cana-4145	100	10	,	,	PUNCT
cana-4145	100	11	n	n	CCONJ
cana-4145	100	12	)	)	PUNCT
cana-4145	100	13	and	and	CCONJ
cana-4145	100	14	the	the	DET
cana-4145	100	15	private	private	ADJ
cana-4145	100	16	key	key	NOUN
cana-4145	100	17	d	d	NOUN
cana-4145	100	18	can	can	AUX
cana-4145	100	19	be	be	AUX
cana-4145	100	20	computed	compute	VERB
cana-4145	100	21	.	.	PUNCT
cana-4145	101	1	in	in	ADP
cana-4145	101	2	the	the	DET
cana-4145	101	3	encryption	encryption	NOUN
cana-4145	101	4	process	process	NOUN
cana-4145	101	5	,	,	PUNCT
cana-4145	101	6	the	the	DET
cana-4145	101	7	plaintext	plaintext	NOUN
cana-4145	101	8	string	string	NOUN
cana-4145	101	9	information	information	NOUN
cana-4145	101	10	is	be	AUX
cana-4145	101	11	represented	represent	VERB
cana-4145	101	12	as	as	ADP
cana-4145	101	13	a	a	DET
cana-4145	101	14	plurality	plurality	NOUN
cana-4145	101	15	of	of	ADP
cana-4145	101	16	groups	group	NOUN
cana-4145	101	17	,	,	PUNCT
cana-4145	101	18	and	and	CCONJ
cana-4145	101	19	is	be	AUX
cana-4145	101	20	set	set	VERB
cana-4145	101	21	to	to	ADP
cana-4145	101	22	a	a	DET
cana-4145	101	23	decimal	decimal	ADJ
cana-4145	101	24	number	number	NOUN
cana-4145	101	25	string	string	NOUN
cana-4145	101	26	m	m	VERB
cana-4145	101	27	which	which	PRON
cana-4145	101	28	is	be	AUX
cana-4145	101	29	shorter	short	ADJ
cana-4145	101	30	than	than	ADP
cana-4145	101	31	the	the	DET
cana-4145	101	32	bit	bit	NOUN
cana-4145	101	33	length	length	NOUN
cana-4145	101	34	of	of	ADP
cana-4145	101	35	n.	n.	PROPN
cana-4145	101	36	first	first	ADV
cana-4145	101	37	,	,	PUNCT
cana-4145	101	38	the	the	DET
cana-4145	101	39	encryption	encryption	NOUN
cana-4145	101	40	operation	operation	NOUN
cana-4145	101	41	is	be	AUX
cana-4145	101	42	performed	perform	VERB
cana-4145	101	43	on	on	ADP
cana-4145	101	44	each	each	DET
cana-4145	101	45	plaintext	plaintext	NOUN
cana-4145	101	46	group	group	NOUN
cana-4145	101	47	m	m	AUX
cana-4145	101	48	using	use	VERB
cana-4145	101	49	the	the	DET
cana-4145	101	50	public	public	ADJ
cana-4145	101	51	key	key	NOUN
cana-4145	101	52	(	(	PUNCT
cana-4145	101	53	e	e	NOUN
cana-4145	101	54	,	,	PUNCT
cana-4145	101	55	n	n	CCONJ
cana-4145	101	56	):	):	PUNCT
cana-4145	101	57	c	c	X
cana-4145	101	58	=	=	SYM
cana-4145	101	59	e	e	X
cana-4145	101	60	(	(	PUNCT
cana-4145	101	61	m	m	NOUN
cana-4145	101	62	)	)	PUNCT
cana-4145	101	63	≡	≡	PROPN
cana-4145	101	64	me	i	PRON
cana-4145	101	65	mod	mod	PROPN
cana-4145	101	66	n	n	CCONJ
cana-4145	101	67	(	(	PUNCT
cana-4145	101	68	5	5	NUM
cana-4145	101	69	)	)	PUNCT
cana-4145	101	70	where	where	SCONJ
cana-4145	101	71	c	c	PROPN
cana-4145	101	72	denotes	denote	VERB
cana-4145	101	73	the	the	DET
cana-4145	101	74	ciphertext	ciphertext	NOUN
cana-4145	101	75	and	and	CCONJ
cana-4145	101	76	e	e	X
cana-4145	101	77	(	(	PUNCT
cana-4145	101	78	m	m	PROPN
cana-4145	101	79	)	)	PUNCT
cana-4145	101	80	is	be	AUX
cana-4145	101	81	the	the	DET
cana-4145	101	82	encryption	encryption	NOUN
cana-4145	101	83	operation	operation	NOUN
cana-4145	101	84	.	.	PUNCT
cana-4145	102	1	the	the	DET
cana-4145	102	2	decryption	decryption	NOUN
cana-4145	102	3	operation	operation	NOUN
cana-4145	102	4	using	use	VERB
cana-4145	102	5	the	the	DET
cana-4145	102	6	private	private	ADJ
cana-4145	102	7	key	key	NOUN
cana-4145	102	8	(	(	PUNCT
cana-4145	102	9	d	d	NOUN
cana-4145	102	10	,	,	PUNCT
cana-4145	102	11	n	n	CCONJ
cana-4145	102	12	)	)	PUNCT
cana-4145	102	13	is	be	AUX
cana-4145	102	14	as	as	SCONJ
cana-4145	102	15	follows	follow	VERB
cana-4145	102	16	:	:	PUNCT
cana-4145	102	17	m′	m′	PROPN
cana-4145	102	18	=	=	SYM
cana-4145	102	19	d(c	d(c	PROPN
cana-4145	102	20	)	)	PUNCT
cana-4145	103	1	≡	≡	PROPN
cana-4145	103	2	cd	cd	PROPN
cana-4145	103	3	mod	mod	PROPN
cana-4145	103	4	n	n	PROPN
cana-4145	103	5	(	(	PUNCT
cana-4145	103	6	6	6	NUM
cana-4145	103	7	)	)	PUNCT
cana-4145	104	1	where	where	SCONJ
cana-4145	104	2	d(c	d(c	PROPN
cana-4145	104	3	)	)	PUNCT
cana-4145	104	4	is	be	AUX
cana-4145	104	5	the	the	DET
cana-4145	104	6	decryption	decryption	NOUN
cana-4145	104	7	operation	operation	NOUN
cana-4145	104	8	,	,	PUNCT
cana-4145	104	9	when	when	SCONJ
cana-4145	104	10	the	the	DET
cana-4145	104	11	decryption	decryption	NOUN
cana-4145	104	12	is	be	AUX
cana-4145	104	13	completed	complete	VERB
cana-4145	104	14	,	,	PUNCT
cana-4145	104	15	m′	m′	NOUN
cana-4145	104	16	=	=	SYM
cana-4145	104	17	m.	m.	NOUN
cana-4145	104	18	rsa	rsa	PROPN
cana-4145	104	19	operates	operate	VERB
cana-4145	104	20	on	on	ADP
cana-4145	104	21	integer	integer	NOUN
cana-4145	104	22	values	value	NOUN
cana-4145	104	23	and	and	CCONJ
cana-4145	104	24	requires	require	VERB
cana-4145	104	25	significant	significant	ADJ
cana-4145	104	26	computational	computational	ADJ
cana-4145	104	27	resources	resource	NOUN
cana-4145	104	28	,	,	PUNCT
cana-4145	104	29	making	make	VERB
cana-4145	104	30	it	it	PRON
cana-4145	104	31	slow	slow	ADJ
cana-4145	104	32	for	for	ADP
cana-4145	104	33	encrypting	encrypt	VERB
cana-4145	104	34	large	large	ADJ
cana-4145	104	35	data	datum	NOUN
cana-4145	104	36	like	like	ADP
cana-4145	104	37	images	image	NOUN
cana-4145	104	38	directly	directly	ADV
cana-4145	104	39	.	.	PUNCT
cana-4145	105	1	rsa	rsa	NOUN
cana-4145	105	2	encryption	encryption	NOUN
cana-4145	105	3	/	/	SYM
cana-4145	105	4	decryption	decryption	NOUN
cana-4145	105	5	involves	involve	VERB
cana-4145	105	6	large	large	ADJ
cana-4145	105	7	prime	prime	ADJ
cana-4145	105	8	number	number	NOUN
cana-4145	105	9	operations	operation	NOUN
cana-4145	105	10	and	and	CCONJ
cana-4145	105	11	modular	modular	ADJ
cana-4145	105	12	exponentiation	exponentiation	NOUN
cana-4145	105	13	,	,	PUNCT
cana-4145	105	14	which	which	PRON
cana-4145	105	15	is	be	AUX
cana-4145	105	16	computationally	computationally	ADV
cana-4145	105	17	expensive	expensive	ADJ
cana-4145	105	18	.	.	PUNCT
cana-4145	106	1	images	image	NOUN
cana-4145	106	2	,	,	PUNCT
cana-4145	106	3	being	be	AUX
cana-4145	106	4	large	large	ADJ
cana-4145	106	5	,	,	PUNCT
cana-4145	106	6	contain	contain	VERB
cana-4145	106	7	many	many	ADJ
cana-4145	106	8	pixel	pixel	ADJ
cana-4145	106	9	values	value	NOUN
cana-4145	106	10	that	that	PRON
cana-4145	106	11	require	require	VERB
cana-4145	106	12	processing	processing	NOUN
cana-4145	106	13	.	.	PUNCT
cana-4145	107	1	directly	directly	ADV
cana-4145	107	2	encrypting	encrypt	VERB
cana-4145	107	3	each	each	DET
cana-4145	107	4	pixel	pixel	NOUN
cana-4145	107	5	using	use	VERB
cana-4145	107	6	rsa	rsa	PROPN
cana-4145	107	7	would	would	AUX
cana-4145	107	8	not	not	PART
cana-4145	107	9	only	only	ADV
cana-4145	107	10	be	be	AUX
cana-4145	107	11	inefficient	inefficient	ADJ
cana-4145	107	12	but	but	CCONJ
cana-4145	107	13	would	would	AUX
cana-4145	107	14	also	also	ADV
cana-4145	107	15	require	require	VERB
cana-4145	107	16	considerable	considerable	ADJ
cana-4145	107	17	time	time	NOUN
cana-4145	107	18	and	and	CCONJ
cana-4145	107	19	resources	resource	NOUN
cana-4145	107	20	[	[	X
cana-4145	107	21	26	26	NUM
cana-4145	107	22	]	]	PUNCT
cana-4145	107	23	.	.	PUNCT
cana-4145	108	1	communications	communication	NOUN
cana-4145	108	2	on	on	ADP
cana-4145	108	3	applied	apply	VERB
cana-4145	108	4	nonlinear	nonlinear	ADJ
cana-4145	108	5	analysis	analysis	NOUN
cana-4145	108	6	issn	issn	NOUN
cana-4145	108	7	:	:	PUNCT
cana-4145	108	8	1074	1074	NUM
cana-4145	108	9	-	-	PUNCT
cana-4145	108	10	133x	133x	NUM
cana-4145	108	11	vol	vol	NOUN
cana-4145	108	12	x	x	NOUN
cana-4145	108	13	no	no	INTJ
cana-4145	108	14	.	.	PUNCT
cana-4145	109	1	y	y	PROPN
cana-4145	109	2	(	(	PUNCT
cana-4145	109	3	2025	2025	NUM
cana-4145	109	4	)	)	PUNCT
cana-4145	109	5	1353	1353	NUM
cana-4145	109	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4145	109	7	4	4	NUM
cana-4145	109	8	.	.	NUM
cana-4145	109	9	proposed	propose	VERB
cana-4145	109	10	image	image	NOUN
cana-4145	109	11	encryption	encryption	NOUN
cana-4145	109	12	and	and	CCONJ
cana-4145	109	13	decryption	decryption	NOUN
cana-4145	109	14	algorithm	algorithm	NOUN
cana-4145	109	15	figure	figure	NOUN
cana-4145	109	16	2	2	NUM
cana-4145	109	17	illustrates	illustrate	VERB
cana-4145	109	18	that	that	SCONJ
cana-4145	109	19	in	in	ADP
cana-4145	109	20	the	the	DET
cana-4145	109	21	event	event	NOUN
cana-4145	109	22	that	that	PRON
cana-4145	109	23	a	a	DET
cana-4145	109	24	cryptanalyst	cryptanalyst	NOUN
cana-4145	109	25	is	be	AUX
cana-4145	109	26	able	able	ADJ
cana-4145	109	27	to	to	PART
cana-4145	109	28	crack	crack	VERB
cana-4145	109	29	the	the	DET
cana-4145	109	30	rsa	rsa	PROPN
cana-4145	109	31	algorithm	algorithm	NOUN
cana-4145	109	32	's	's	PART
cana-4145	109	33	key	key	NOUN
cana-4145	109	34	,	,	PUNCT
cana-4145	109	35	the	the	DET
cana-4145	109	36	second	second	ADJ
cana-4145	109	37	encryption	encryption	NOUN
cana-4145	109	38	algorithm	algorithm	NOUN
cana-4145	109	39	the	the	DET
cana-4145	109	40	chaos	chaos	NOUN
cana-4145	109	41	-	-	PUNCT
cana-4145	109	42	based	base	VERB
cana-4145	109	43	algorithm	algorithm	NOUN
cana-4145	109	44	must	must	AUX
cana-4145	109	45	be	be	AUX
cana-4145	109	46	solved	solve	VERB
cana-4145	109	47	in	in	ADP
cana-4145	109	48	order	order	NOUN
cana-4145	109	49	to	to	PART
cana-4145	109	50	retrieve	retrieve	VERB
cana-4145	109	51	the	the	DET
cana-4145	109	52	original	original	ADJ
cana-4145	109	53	image	image	NOUN
cana-4145	109	54	.	.	PUNCT
cana-4145	110	1	this	this	PRON
cana-4145	110	2	will	will	AUX
cana-4145	110	3	ensure	ensure	VERB
cana-4145	110	4	that	that	SCONJ
cana-4145	110	5	the	the	DET
cana-4145	110	6	cipher	cipher	NOUN
cana-4145	110	7	's	's	PART
cana-4145	110	8	strength	strength	NOUN
cana-4145	110	9	is	be	AUX
cana-4145	110	10	guaranteed	guarantee	VERB
cana-4145	110	11	.	.	PUNCT
cana-4145	110	12	4.1	4.1	NUM
cana-4145	110	13	image	image	NOUN
cana-4145	110	14	encryption	encryption	NOUN
cana-4145	110	15	using	use	VERB
cana-4145	110	16	chaotic	chaotic	ADJ
cana-4145	110	17	system	system	NOUN
cana-4145	110	18	and	and	CCONJ
cana-4145	110	19	rsa	rsa	PROPN
cana-4145	110	20	step	step	NOUN
cana-4145	110	21	1	1	NUM
cana-4145	110	22	:	:	PUNCT
cana-4145	110	23	chaotic	chaotic	ADJ
cana-4145	110	24	pixel	pixel	NOUN
cana-4145	110	25	permutation	permutation	NOUN
cana-4145	110	26	•	•	ADV
cana-4145	110	27	given	give	VERB
cana-4145	110	28	an	an	DET
cana-4145	110	29	image	image	NOUN
cana-4145	110	30	𝐼	𝐼	NOUN
cana-4145	110	31	with	with	ADP
cana-4145	110	32	𝑀	𝑀	PROPN
cana-4145	110	33	×	×	NOUN
cana-4145	110	34	𝑁	𝑁	PROPN
cana-4145	110	35	pixels	pixel	NOUN
cana-4145	110	36	,	,	PUNCT
cana-4145	110	37	apply	apply	VERB
cana-4145	110	38	the	the	DET
cana-4145	110	39	logistic	logistic	ADJ
cana-4145	110	40	map	map	NOUN
cana-4145	110	41	to	to	PART
cana-4145	110	42	generate	generate	VERB
cana-4145	110	43	a	a	DET
cana-4145	110	44	chaotic	chaotic	ADJ
cana-4145	110	45	sequence	sequence	NOUN
cana-4145	110	46	{	{	PUNCT
cana-4145	110	47	𝑐1	𝑐1	NOUN
cana-4145	110	48	,	,	PUNCT
cana-4145	110	49	𝑐2	𝑐2	NOUN
cana-4145	110	50	,	,	PUNCT
cana-4145	110	51	𝑐3	𝑐3	NOUN
cana-4145	110	52	…	…	PUNCT
cana-4145	110	53	…	…	PUNCT
cana-4145	110	54	,	,	PUNCT
cana-4145	110	55	𝑐𝑀.𝑁	𝑐𝑀.𝑁	NOUN
cana-4145	110	56	}	}	PUNCT
cana-4145	110	57	.	.	PUNCT
cana-4145	111	1	this	this	DET
cana-4145	111	2	sequence	sequence	NOUN
cana-4145	111	3	is	be	AUX
cana-4145	111	4	used	use	VERB
cana-4145	111	5	to	to	PART
cana-4145	111	6	permute	permute	VERB
cana-4145	111	7	the	the	DET
cana-4145	111	8	pixels	pixel	NOUN
cana-4145	111	9	of	of	ADP
cana-4145	111	10	the	the	DET
cana-4145	111	11	image	image	NOUN
cana-4145	111	12	.	.	PUNCT
cana-4145	112	1	•	•	INTJ
cana-4145	112	2	let	let	VERB
cana-4145	112	3	𝑃	𝑃	NOUN
cana-4145	112	4	denote	denote	VERB
cana-4145	112	5	the	the	DET
cana-4145	112	6	permutation	permutation	NOUN
cana-4145	112	7	matrix	matrix	NOUN
cana-4145	112	8	derived	derive	VERB
cana-4145	112	9	from	from	ADP
cana-4145	112	10	the	the	DET
cana-4145	112	11	chaotic	chaotic	ADJ
cana-4145	112	12	sequence	sequence	NOUN
cana-4145	112	13	.	.	PUNCT
cana-4145	113	1	the	the	DET
cana-4145	113	2	permuted	permuted	ADJ
cana-4145	113	3	image	image	NOUN
cana-4145	113	4	𝐼𝑝𝑒𝑟𝑚	𝐼𝑝𝑒𝑟𝑚	PROPN
cana-4145	113	5	is	be	AUX
cana-4145	113	6	obtained	obtain	VERB
cana-4145	113	7	by	by	ADP
cana-4145	113	8	rearranging	rearrange	VERB
cana-4145	113	9	the	the	DET
cana-4145	113	10	pixels	pixel	NOUN
cana-4145	113	11	in	in	ADP
cana-4145	113	12	𝐼	𝐼	NOUN
cana-4145	113	13	based	base	VERB
cana-4145	113	14	on	on	ADP
cana-4145	113	15	the	the	DET
cana-4145	113	16	order	order	NOUN
cana-4145	113	17	provided	provide	VERB
cana-4145	113	18	by	by	ADP
cana-4145	113	19	𝑐𝑖	𝑐𝑖	NOUN
cana-4145	113	20	:	:	PUNCT
cana-4145	113	21	𝐼𝑝𝑒𝑟𝑚[𝑖	𝐼𝑝𝑒𝑟𝑚[𝑖	ADJ
cana-4145	113	22	]	]	X
cana-4145	113	23	=	=	PUNCT
cana-4145	113	24	𝐼[𝑐𝑖	𝐼[𝑐𝑖	VERB
cana-4145	113	25	]	]	PUNCT
cana-4145	113	26	where	where	SCONJ
cana-4145	113	27	𝐼[𝑖	𝐼[𝑖	PROPN
cana-4145	113	28	]	]	X
cana-4145	113	29	represents	represent	VERB
cana-4145	113	30	the	the	DET
cana-4145	113	31	pixel	pixel	NOUN
cana-4145	113	32	at	at	ADP
cana-4145	113	33	position	position	NOUN
cana-4145	113	34	𝑖	𝑖	NOUN
cana-4145	113	35	in	in	ADP
cana-4145	113	36	the	the	DET
cana-4145	113	37	original	original	ADJ
cana-4145	113	38	image	image	NOUN
cana-4145	113	39	.	.	PUNCT
cana-4145	114	1	step	step	NOUN
cana-4145	114	2	2	2	NUM
cana-4145	114	3	:	:	PUNCT
cana-4145	114	4	rsa	rsa	NOUN
cana-4145	114	5	encryption	encryption	NOUN
cana-4145	114	6	of	of	ADP
cana-4145	114	7	the	the	DET
cana-4145	114	8	image	image	NOUN
cana-4145	114	9	or	or	CCONJ
cana-4145	114	10	key	key	ADJ
cana-4145	114	11	•	•	NOUN
cana-4145	114	12	after	after	ADP
cana-4145	114	13	the	the	DET
cana-4145	114	14	chaotic	chaotic	ADJ
cana-4145	114	15	permutation	permutation	NOUN
cana-4145	114	16	,	,	PUNCT
cana-4145	114	17	the	the	DET
cana-4145	114	18	resulting	result	VERB
cana-4145	114	19	image	image	NOUN
cana-4145	114	20	can	can	AUX
cana-4145	114	21	be	be	AUX
cana-4145	114	22	encrypted	encrypt	VERB
cana-4145	114	23	further	far	ADV
cana-4145	114	24	using	use	VERB
cana-4145	114	25	rsa	rsa	NOUN
cana-4145	114	26	.	.	PUNCT
cana-4145	115	1	this	this	PRON
cana-4145	115	2	can	can	AUX
cana-4145	115	3	be	be	AUX
cana-4145	115	4	done	do	VERB
cana-4145	115	5	either	either	CCONJ
cana-4145	115	6	by	by	ADP
cana-4145	115	7	directly	directly	ADV
cana-4145	115	8	encrypting	encrypt	VERB
cana-4145	115	9	the	the	DET
cana-4145	115	10	permuted	permuted	ADJ
cana-4145	115	11	image	image	NOUN
cana-4145	115	12	or	or	CCONJ
cana-4145	115	13	encrypting	encrypt	VERB
cana-4145	115	14	a	a	DET
cana-4145	115	15	key	key	NOUN
cana-4145	115	16	(	(	PUNCT
cana-4145	115	17	e.g.	e.g.	ADV
cana-4145	115	18	,	,	PUNCT
cana-4145	115	19	the	the	DET
cana-4145	115	20	chaotic	chaotic	ADJ
cana-4145	115	21	sequence	sequence	NOUN
cana-4145	115	22	)	)	PUNCT
cana-4145	115	23	used	use	VERB
cana-4145	115	24	to	to	PART
cana-4145	115	25	permute	permute	VERB
cana-4145	115	26	the	the	DET
cana-4145	115	27	image	image	NOUN
cana-4145	115	28	.	.	PUNCT
cana-4145	116	1	•	•	INTJ
cana-4145	116	2	let	let	VERB
cana-4145	116	3	𝐾	𝐾	PRON
cana-4145	116	4	be	be	AUX
cana-4145	116	5	the	the	DET
cana-4145	116	6	key	key	NOUN
cana-4145	116	7	(	(	PUNCT
cana-4145	116	8	which	which	PRON
cana-4145	116	9	could	could	AUX
cana-4145	116	10	be	be	AUX
cana-4145	116	11	the	the	DET
cana-4145	116	12	permuted	permuted	ADJ
cana-4145	116	13	image	image	NOUN
cana-4145	116	14	or	or	CCONJ
cana-4145	116	15	a	a	DET
cana-4145	116	16	secret	secret	ADJ
cana-4145	116	17	value	value	NOUN
cana-4145	116	18	)	)	PUNCT
cana-4145	116	19	,	,	PUNCT
cana-4145	116	20	and	and	CCONJ
cana-4145	116	21	(	(	PUNCT
cana-4145	116	22	𝑛	𝑛	NOUN
cana-4145	116	23	,	,	PUNCT
cana-4145	116	24	𝑒)be	𝑒)be	PROPN
cana-4145	116	25	the	the	DET
cana-4145	116	26	rsa	rsa	PROPN
cana-4145	116	27	public	public	ADJ
cana-4145	116	28	key	key	NOUN
cana-4145	116	29	.	.	PUNCT
cana-4145	117	1	the	the	DET
cana-4145	117	2	rsa	rsa	PROPN
cana-4145	117	3	encryption	encryption	NOUN
cana-4145	117	4	of	of	ADP
cana-4145	117	5	𝐾	𝐾	PROPN
cana-4145	117	6	is	be	AUX
cana-4145	117	7	:	:	PUNCT
cana-4145	117	8	𝐾𝑒𝑛𝑐	𝐾𝑒𝑛𝑐	PROPN
cana-4145	117	9	=	=	SYM
cana-4145	117	10	𝐾𝑒(𝑚𝑜𝑑	𝐾𝑒(𝑚𝑜𝑑	ADJ
cana-4145	117	11	𝑛	𝑛	NOUN
cana-4145	117	12	)	)	PUNCT
cana-4145	117	13	step	step	NOUN
cana-4145	117	14	3	3	NUM
cana-4145	117	15	:	:	PUNCT
cana-4145	117	16	final	final	ADJ
cana-4145	117	17	encrypted	encrypt	VERB
cana-4145	117	18	image	image	NOUN
cana-4145	117	19	•	•	ADP
cana-4145	117	20	the	the	DET
cana-4145	117	21	final	final	ADJ
cana-4145	117	22	encrypted	encrypt	VERB
cana-4145	117	23	image	image	NOUN
cana-4145	117	24	is	be	AUX
cana-4145	117	25	the	the	DET
cana-4145	117	26	result	result	NOUN
cana-4145	117	27	of	of	ADP
cana-4145	117	28	both	both	CCONJ
cana-4145	117	29	chaotic	chaotic	ADJ
cana-4145	117	30	pixel	pixel	NOUN
cana-4145	117	31	permutation	permutation	NOUN
cana-4145	117	32	and	and	CCONJ
cana-4145	117	33	rsa	rsa	PROPN
cana-4145	117	34	encryption	encryption	NOUN
cana-4145	117	35	:	:	PUNCT
cana-4145	117	36	𝐼𝑒𝑛𝑐	𝐼𝑒𝑛𝑐	PROPN
cana-4145	117	37	=	=	SYM
cana-4145	117	38	𝑅𝑆𝐴_𝐸𝑛𝑐𝑟𝑦𝑝𝑡(𝐼𝑝𝑒𝑟𝑚	𝑅𝑆𝐴_𝐸𝑛𝑐𝑟𝑦𝑝𝑡(𝐼𝑝𝑒𝑟𝑚	ADV
cana-4145	117	39	,	,	PUNCT
cana-4145	117	40	(	(	PUNCT
cana-4145	117	41	𝑛	𝑛	NOUN
cana-4145	117	42	,	,	PUNCT
cana-4145	117	43	𝑒	𝑒	NOUN
cana-4145	117	44	)	)	PUNCT
cana-4145	117	45	)	)	PUNCT
cana-4145	117	46	4.2	4.2	NUM
cana-4145	117	47	image	image	NOUN
cana-4145	117	48	decryption	decryption	NOUN
cana-4145	117	49	using	use	VERB
cana-4145	117	50	rsa	rsa	PROPN
cana-4145	117	51	and	and	CCONJ
cana-4145	117	52	chaotic	chaotic	ADJ
cana-4145	117	53	system	system	NOUN
cana-4145	117	54	step	step	NOUN
cana-4145	117	55	1	1	NUM
cana-4145	117	56	:	:	PUNCT
cana-4145	117	57	rsa	rsa	NOUN
cana-4145	117	58	decryption	decryption	NOUN
cana-4145	117	59	•	•	ADV
cana-4145	117	60	given	give	VERB
cana-4145	117	61	the	the	DET
cana-4145	117	62	encrypted	encrypt	VERB
cana-4145	117	63	image	image	NOUN
cana-4145	117	64	𝐼𝑒𝑛𝑐	𝐼𝑒𝑛𝑐	PROPN
cana-4145	117	65	,	,	PUNCT
cana-4145	117	66	the	the	DET
cana-4145	117	67	first	first	ADJ
cana-4145	117	68	step	step	NOUN
cana-4145	117	69	in	in	ADP
cana-4145	117	70	decryption	decryption	NOUN
cana-4145	117	71	is	be	AUX
cana-4145	117	72	to	to	PART
cana-4145	117	73	use	use	VERB
cana-4145	117	74	the	the	DET
cana-4145	117	75	private	private	ADJ
cana-4145	117	76	rsa	rsa	PROPN
cana-4145	117	77	key	key	NOUN
cana-4145	117	78	(	(	PUNCT
cana-4145	117	79	𝑛	𝑛	PROPN
cana-4145	117	80	,	,	PUNCT
cana-4145	117	81	𝑑	𝑑	NOUN
cana-4145	117	82	)	)	PUNCT
cana-4145	117	83	to	to	PART
cana-4145	117	84	decrypt	decrypt	VERB
cana-4145	117	85	the	the	DET
cana-4145	117	86	image	image	NOUN
cana-4145	117	87	data	datum	NOUN
cana-4145	117	88	:	:	PUNCT
cana-4145	118	1	𝐼𝑝𝑒𝑟𝑚	𝐼𝑝𝑒𝑟𝑚	PROPN
cana-4145	118	2	=	=	SYM
cana-4145	118	3	𝐼𝑒𝑛𝑐𝑑(𝑚𝑜𝑑	𝐼𝑒𝑛𝑐𝑑(𝑚𝑜𝑑	PROPN
cana-4145	118	4	𝑛	𝑛	X
cana-4145	118	5	)	)	PUNCT
cana-4145	118	6	,	,	PUNCT
cana-4145	118	7	this	this	PRON
cana-4145	118	8	gives	give	VERB
cana-4145	118	9	the	the	DET
cana-4145	118	10	permuted	permuted	ADJ
cana-4145	118	11	image	image	NOUN
cana-4145	118	12	𝐼𝑝𝑒𝑟𝑚.	𝐼𝑝𝑒𝑟𝑚.	NUM
cana-4145	118	13	step	step	NOUN
cana-4145	118	14	2	2	NUM
cana-4145	118	15	:	:	PUNCT
cana-4145	118	16	reverse	reverse	VERB
cana-4145	118	17	chaotic	chaotic	ADJ
cana-4145	118	18	pixel	pixel	NOUN
cana-4145	118	19	permutation	permutation	NOUN
cana-4145	118	20	•	•	ADP
cana-4145	118	21	the	the	DET
cana-4145	118	22	next	next	ADJ
cana-4145	118	23	step	step	NOUN
cana-4145	118	24	is	be	AUX
cana-4145	118	25	to	to	PART
cana-4145	118	26	reverse	reverse	VERB
cana-4145	118	27	the	the	DET
cana-4145	118	28	chaotic	chaotic	ADJ
cana-4145	118	29	pixel	pixel	NOUN
cana-4145	118	30	permutation	permutation	NOUN
cana-4145	118	31	.	.	PUNCT
cana-4145	119	1	the	the	DET
cana-4145	119	2	chaotic	chaotic	ADJ
cana-4145	119	3	sequence	sequence	NOUN
cana-4145	119	4	{	{	PUNCT
cana-4145	119	5	𝑐1	𝑐1	NOUN
cana-4145	119	6	,	,	PUNCT
cana-4145	119	7	𝑐2	𝑐2	NOUN
cana-4145	119	8	,	,	PUNCT
cana-4145	119	9	𝑐3	𝑐3	NOUN
cana-4145	119	10	…	…	PUNCT
cana-4145	119	11	…	…	PUNCT
cana-4145	119	12	,	,	PUNCT
cana-4145	119	13	𝑐𝑀.𝑁}used	𝑐𝑀.𝑁}use	VERB
cana-4145	119	14	to	to	PART
cana-4145	119	15	permute	permute	VERB
cana-4145	119	16	the	the	DET
cana-4145	119	17	image	image	NOUN
cana-4145	119	18	can	can	AUX
cana-4145	119	19	be	be	AUX
cana-4145	119	20	reversed	reverse	VERB
cana-4145	119	21	by	by	ADP
cana-4145	119	22	using	use	VERB
cana-4145	119	23	the	the	DET
cana-4145	119	24	inverse	inverse	NOUN
cana-4145	119	25	of	of	ADP
cana-4145	119	26	the	the	DET
cana-4145	119	27	chaotic	chaotic	ADJ
cana-4145	119	28	system	system	NOUN
cana-4145	119	29	,	,	PUNCT
cana-4145	119	30	which	which	PRON
cana-4145	119	31	can	can	AUX
cana-4145	119	32	be	be	AUX
cana-4145	119	33	achieved	achieve	VERB
cana-4145	119	34	by	by	ADP
cana-4145	119	35	sorting	sort	VERB
cana-4145	119	36	the	the	DET
cana-4145	119	37	chaotic	chaotic	ADJ
cana-4145	119	38	sequence	sequence	NOUN
cana-4145	119	39	in	in	ADP
cana-4145	119	40	reverse	reverse	ADJ
cana-4145	119	41	order	order	NOUN
cana-4145	119	42	to	to	PART
cana-4145	119	43	obtain	obtain	VERB
cana-4145	119	44	the	the	DET
cana-4145	119	45	original	original	ADJ
cana-4145	119	46	pixel	pixel	NOUN
cana-4145	119	47	positions	position	NOUN
cana-4145	119	48	.	.	PUNCT
cana-4145	120	1	communications	communication	NOUN
cana-4145	120	2	on	on	ADP
cana-4145	120	3	applied	apply	VERB
cana-4145	120	4	nonlinear	nonlinear	ADJ
cana-4145	120	5	analysis	analysis	NOUN
cana-4145	120	6	issn	issn	NOUN
cana-4145	120	7	:	:	PUNCT
cana-4145	120	8	1074	1074	NUM
cana-4145	120	9	-	-	PUNCT
cana-4145	120	10	133x	133x	NUM
cana-4145	120	11	vol	vol	NOUN
cana-4145	120	12	x	x	NOUN
cana-4145	120	13	no	no	INTJ
cana-4145	120	14	.	.	PUNCT
cana-4145	121	1	y	y	PROPN
cana-4145	121	2	(	(	PUNCT
cana-4145	121	3	2025	2025	NUM
cana-4145	121	4	)	)	PUNCT
cana-4145	121	5	1354	1354	NUM
cana-4145	121	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4145	121	7	•	•	ADV
cana-4145	121	8	let	let	VERB
cana-4145	121	9	{	{	PUNCT
cana-4145	121	10	𝑐1	𝑐1	NOUN
cana-4145	121	11	,	,	PUNCT
cana-4145	121	12	𝑐2	𝑐2	NOUN
cana-4145	121	13	,	,	PUNCT
cana-4145	121	14	𝑐3	𝑐3	NOUN
cana-4145	121	15	…	…	PUNCT
cana-4145	121	16	…	…	PUNCT
cana-4145	121	17	,	,	PUNCT
cana-4145	121	18	𝑐𝑀.𝑁}be	𝑐𝑀.𝑁}be	NOUN
cana-4145	121	19	the	the	DET
cana-4145	121	20	chaotic	chaotic	ADJ
cana-4145	121	21	sequence	sequence	NOUN
cana-4145	121	22	.	.	PUNCT
cana-4145	122	1	the	the	DET
cana-4145	122	2	inverse	inverse	ADJ
cana-4145	122	3	chaotic	chaotic	ADJ
cana-4145	122	4	sequence	sequence	NOUN
cana-4145	122	5	{	{	PUNCT
cana-4145	122	6	𝑐1	𝑐1	NOUN
cana-4145	122	7	−1	−1	ADP
cana-4145	122	8	,	,	PUNCT
cana-4145	122	9	𝑐2	𝑐2	NOUN
cana-4145	122	10	−1	−1	NOUN
cana-4145	122	11	,	,	PUNCT
cana-4145	122	12	𝑐3	𝑐3	NOUN
cana-4145	122	13	−1	−1	ADV
cana-4145	122	14	…	…	PUNCT
cana-4145	122	15	…	…	PUNCT
cana-4145	122	16	,	,	PUNCT
cana-4145	122	17	𝑐𝑀.𝑁	𝑐𝑀.𝑁	PROPN
cana-4145	122	18	−1}is	−1}is	PROPN
cana-4145	122	19	computed	compute	VERB
cana-4145	122	20	by	by	ADP
cana-4145	122	21	sorting	sort	VERB
cana-4145	122	22	the	the	DET
cana-4145	122	23	chaotic	chaotic	ADJ
cana-4145	122	24	values	value	NOUN
cana-4145	122	25	in	in	ADP
cana-4145	122	26	reverse	reverse	ADJ
cana-4145	122	27	order	order	NOUN
cana-4145	122	28	.	.	PUNCT
cana-4145	123	1	using	use	VERB
cana-4145	123	2	this	this	DET
cana-4145	123	3	inverse	inverse	NOUN
cana-4145	123	4	sequence	sequence	NOUN
cana-4145	123	5	,	,	PUNCT
cana-4145	123	6	the	the	DET
cana-4145	123	7	original	original	ADJ
cana-4145	123	8	image	image	NOUN
cana-4145	123	9	is	be	AUX
cana-4145	123	10	restored	restore	VERB
cana-4145	123	11	by	by	ADP
cana-4145	123	12	applying	apply	VERB
cana-4145	123	13	the	the	DET
cana-4145	123	14	inverse	inverse	NOUN
cana-4145	123	15	permutation	permutation	NOUN
cana-4145	123	16	:	:	PUNCT
cana-4145	123	17	𝐼	𝐼	PROPN
cana-4145	123	18	=	=	SYM
cana-4145	123	19	𝑃−1(𝐼𝑝𝑒𝑟𝑚	𝑃−1(𝐼𝑝𝑒𝑟𝑚	X
cana-4145	123	20	)	)	PUNCT
cana-4145	124	1	where	where	SCONJ
cana-4145	124	2	𝑃−1	𝑃−1	NOUN
cana-4145	124	3	represents	represent	VERB
cana-4145	124	4	the	the	DET
cana-4145	124	5	inverse	inverse	ADJ
cana-4145	124	6	permutation	permutation	NOUN
cana-4145	124	7	matrix	matrix	NOUN
cana-4145	124	8	.	.	PUNCT
cana-4145	125	1	figure-2	figure-2	X
cana-4145	125	2	.	.	PUNCT
cana-4145	126	1	flowchart	flowchart	NOUN
cana-4145	126	2	of	of	ADP
cana-4145	126	3	proposed	propose	VERB
cana-4145	126	4	scheme	scheme	NOUN
cana-4145	126	5	5	5	NUM
cana-4145	126	6	.	.	NOUN
cana-4145	126	7	results	result	NOUN
cana-4145	126	8	and	and	CCONJ
cana-4145	126	9	discussion	discussion	VERB
cana-4145	126	10	our	our	PRON
cana-4145	126	11	impressions	impression	NOUN
cana-4145	126	12	of	of	ADP
cana-4145	126	13	the	the	DET
cana-4145	126	14	results	result	NOUN
cana-4145	126	15	confirm	confirm	VERB
cana-4145	126	16	that	that	SCONJ
cana-4145	126	17	the	the	DET
cana-4145	126	18	rsa	rsa	PROPN
cana-4145	126	19	calculation	calculation	NOUN
cana-4145	126	20	,	,	PUNCT
cana-4145	126	21	one	one	NUM
cana-4145	126	22	of	of	ADP
cana-4145	126	23	the	the	DET
cana-4145	126	24	most	most	ADV
cana-4145	126	25	remarkable	remarkable	ADJ
cana-4145	126	26	encryption	encryption	NOUN
cana-4145	126	27	computations	computation	NOUN
cana-4145	126	28	available	available	ADJ
cana-4145	126	29	today	today	NOUN
cana-4145	126	30	,	,	PUNCT
cana-4145	126	31	is	be	AUX
cana-4145	126	32	the	the	DET
cana-4145	126	33	calculation	calculation	NOUN
cana-4145	126	34	used	use	VERB
cana-4145	126	35	in	in	ADP
cana-4145	126	36	this	this	DET
cana-4145	126	37	framework	framework	NOUN
cana-4145	126	38	.	.	PUNCT
cana-4145	127	1	by	by	ADP
cana-4145	127	2	passing	pass	VERB
cana-4145	127	3	through	through	ADP
cana-4145	127	4	a	a	DET
cana-4145	127	5	crucial	crucial	ADJ
cana-4145	127	6	length	length	NOUN
cana-4145	127	7	of	of	ADP
cana-4145	127	8	up	up	ADP
cana-4145	127	9	to	to	ADP
cana-4145	127	10	2048	2048	NUM
cana-4145	127	11	pieces	piece	NOUN
cana-4145	127	12	,	,	PUNCT
cana-4145	127	13	the	the	DET
cana-4145	127	14	calculation	calculation	NOUN
cana-4145	127	15	's	's	PART
cana-4145	127	16	strength	strength	NOUN
cana-4145	127	17	is	be	AUX
cana-4145	127	18	increased	increase	VERB
cana-4145	127	19	and	and	CCONJ
cana-4145	127	20	the	the	DET
cana-4145	127	21	likelihood	likelihood	NOUN
cana-4145	127	22	of	of	ADP
cana-4145	127	23	key	key	ADJ
cana-4145	127	24	breaking	breaking	NOUN
cana-4145	127	25	by	by	ADP
cana-4145	127	26	intruders	intruder	NOUN
cana-4145	127	27	is	be	AUX
cana-4145	127	28	reduced	reduce	VERB
cana-4145	127	29	.	.	PUNCT
cana-4145	128	1	in	in	ADP
cana-4145	128	2	the	the	DET
cana-4145	128	3	main	main	ADJ
cana-4145	128	4	scenario	scenario	NOUN
cana-4145	128	5	,	,	PUNCT
cana-4145	128	6	we	we	PRON
cana-4145	128	7	were	be	AUX
cana-4145	128	8	gradually	gradually	ADV
cana-4145	128	9	developing	develop	VERB
cana-4145	128	10	the	the	DET
cana-4145	128	11	keys	key	NOUN
cana-4145	128	12	and	and	CCONJ
cana-4145	128	13	storing	store	VERB
cana-4145	128	14	them	they	PRON
cana-4145	128	15	on	on	ADP
cana-4145	128	16	the	the	DET
cana-4145	128	17	computer	computer	NOUN
cana-4145	128	18	as	as	ADP
cana-4145	128	19	documents	document	NOUN
cana-4145	128	20	so	so	SCONJ
cana-4145	128	21	that	that	SCONJ
cana-4145	128	22	we	we	PRON
cana-4145	128	23	could	could	AUX
cana-4145	128	24	use	use	VERB
cana-4145	128	25	them	they	PRON
cana-4145	128	26	again	again	ADV
cana-4145	128	27	without	without	ADP
cana-4145	128	28	having	have	VERB
cana-4145	128	29	to	to	PART
cana-4145	128	30	input	input	VERB
cana-4145	128	31	data	datum	NOUN
cana-4145	128	32	and	and	CCONJ
cana-4145	128	33	make	make	VERB
cana-4145	128	34	calculations	calculation	NOUN
cana-4145	128	35	again	again	ADV
cana-4145	128	36	.	.	PUNCT
cana-4145	129	1	additionally	additionally	ADV
cana-4145	129	2	,	,	PUNCT
cana-4145	129	3	this	this	DET
cana-4145	129	4	development	development	NOUN
cana-4145	129	5	reduces	reduce	VERB
cana-4145	129	6	the	the	DET
cana-4145	129	7	framework	framework	NOUN
cana-4145	129	8	's	's	PART
cana-4145	129	9	lengthy	lengthy	ADJ
cana-4145	129	10	key	key	ADJ
cana-4145	129	11	age	age	NOUN
cana-4145	129	12	calculations	calculation	NOUN
cana-4145	129	13	,	,	PUNCT
cana-4145	129	14	so	so	ADV
cana-4145	129	15	we	we	PRON
cana-4145	129	16	briefly	briefly	ADV
cana-4145	129	17	summarize	summarize	VERB
cana-4145	129	18	the	the	DET
cana-4145	129	19	time	time	NOUN
cana-4145	129	20	spent	spend	VERB
cana-4145	129	21	on	on	ADP
cana-4145	129	22	encryption	encryption	NOUN
cana-4145	129	23	and	and	CCONJ
cana-4145	129	24	unscrambling	unscrambling	NOUN
cana-4145	129	25	,	,	PUNCT
cana-4145	129	26	which	which	PRON
cana-4145	129	27	is	be	AUX
cana-4145	129	28	one	one	NUM
cana-4145	129	29	of	of	ADP
cana-4145	129	30	the	the	DET
cana-4145	129	31	primary	primary	ADJ
cana-4145	129	32	drawbacks	drawback	NOUN
cana-4145	129	33	of	of	ADP
cana-4145	129	34	the	the	DET
cana-4145	129	35	rsa	rsa	PROPN
cana-4145	129	36	calculation	calculation	NOUN
cana-4145	129	37	.	.	PUNCT
cana-4145	130	1	communications	communication	NOUN
cana-4145	130	2	on	on	ADP
cana-4145	130	3	applied	apply	VERB
cana-4145	130	4	nonlinear	nonlinear	ADJ
cana-4145	130	5	analysis	analysis	NOUN
cana-4145	130	6	issn	issn	NOUN
cana-4145	130	7	:	:	PUNCT
cana-4145	130	8	1074	1074	NUM
cana-4145	130	9	-	-	PUNCT
cana-4145	130	10	133x	133x	NUM
cana-4145	130	11	vol	vol	NOUN
cana-4145	130	12	x	x	NOUN
cana-4145	130	13	no	no	INTJ
cana-4145	130	14	.	.	PUNCT
cana-4145	131	1	y	y	PROPN
cana-4145	131	2	(	(	PUNCT
cana-4145	131	3	2025	2025	NUM
cana-4145	131	4	)	)	PUNCT
cana-4145	131	5	1355	1355	NUM
cana-4145	131	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4145	132	1	the	the	DET
cana-4145	132	2	algorithm	algorithm	NOUN
cana-4145	132	3	is	be	AUX
cana-4145	132	4	evaluated	evaluate	VERB
cana-4145	132	5	based	base	VERB
cana-4145	132	6	on	on	ADP
cana-4145	132	7	the	the	DET
cana-4145	132	8	following	follow	VERB
cana-4145	132	9	criteria	criterion	NOUN
cana-4145	132	10	:	:	PUNCT
cana-4145	133	1	5.1	5.1	NUM
cana-4145	133	2	.	.	PUNCT
cana-4145	133	3	validation	validation	NOUN
cana-4145	133	4	of	of	ADP
cana-4145	133	5	the	the	DET
cana-4145	133	6	scheme	scheme	NOUN
cana-4145	133	7	the	the	DET
cana-4145	133	8	combination	combination	NOUN
cana-4145	133	9	of	of	ADP
cana-4145	133	10	rsa	rsa	NOUN
cana-4145	133	11	with	with	ADP
cana-4145	133	12	chaotic	chaotic	ADJ
cana-4145	133	13	maps	map	NOUN
cana-4145	133	14	makes	make	VERB
cana-4145	133	15	it	it	PRON
cana-4145	133	16	difficult	difficult	ADJ
cana-4145	133	17	to	to	PART
cana-4145	133	18	break	break	VERB
cana-4145	133	19	the	the	DET
cana-4145	133	20	encryption	encryption	NOUN
cana-4145	133	21	without	without	ADP
cana-4145	133	22	the	the	DET
cana-4145	133	23	keys	key	NOUN
cana-4145	133	24	.	.	PUNCT
cana-4145	134	1	to	to	PART
cana-4145	134	2	be	be	AUX
cana-4145	134	3	called	call	VERB
cana-4145	134	4	a	a	DET
cana-4145	134	5	secure	secure	ADJ
cana-4145	134	6	encryption	encryption	NOUN
cana-4145	134	7	algorithm	algorithm	NOUN
cana-4145	134	8	,	,	PUNCT
cana-4145	134	9	the	the	DET
cana-4145	134	10	keys	key	NOUN
cana-4145	134	11	should	should	AUX
cana-4145	134	12	have	have	VERB
cana-4145	134	13	high	high	ADJ
cana-4145	134	14	sensitivity	sensitivity	NOUN
cana-4145	134	15	to	to	ADP
cana-4145	134	16	any	any	DET
cana-4145	134	17	change	change	NOUN
cana-4145	134	18	.	.	PUNCT
cana-4145	135	1	that	that	PRON
cana-4145	135	2	is	be	AUX
cana-4145	135	3	to	to	PART
cana-4145	135	4	say	say	VERB
cana-4145	135	5	,	,	PUNCT
cana-4145	135	6	when	when	SCONJ
cana-4145	135	7	the	the	DET
cana-4145	135	8	decryption	decryption	NOUN
cana-4145	135	9	key	key	ADJ
cana-4145	135	10	changes	change	NOUN
cana-4145	135	11	slightly	slightly	ADV
cana-4145	135	12	,	,	PUNCT
cana-4145	135	13	the	the	DET
cana-4145	135	14	original	original	ADJ
cana-4145	135	15	plain	plain	ADJ
cana-4145	135	16	image	image	NOUN
cana-4145	135	17	can	can	AUX
cana-4145	135	18	not	not	PART
cana-4145	135	19	be	be	AUX
cana-4145	135	20	decrypted	decrypt	VERB
cana-4145	135	21	and	and	CCONJ
cana-4145	135	22	result	result	NOUN
cana-4145	135	23	is	be	AUX
cana-4145	135	24	absolutely	absolutely	ADV
cana-4145	135	25	different	different	ADJ
cana-4145	135	26	from	from	ADP
cana-4145	135	27	that	that	PRON
cana-4145	135	28	of	of	ADP
cana-4145	135	29	the	the	DET
cana-4145	135	30	plain	plain	ADJ
cana-4145	135	31	image	image	NOUN
cana-4145	135	32	.	.	PUNCT
cana-4145	136	1	as	as	SCONJ
cana-4145	136	2	shown	show	VERB
cana-4145	136	3	in	in	ADP
cana-4145	136	4	fig	fig	NOUN
cana-4145	136	5	.	.	PUNCT
cana-4145	137	1	3	3	NUM
cana-4145	137	2	,	,	PUNCT
cana-4145	137	3	we	we	PRON
cana-4145	137	4	choose	choose	VERB
cana-4145	137	5	the	the	DET
cana-4145	137	6	plain	plain	ADJ
cana-4145	137	7	image	image	NOUN
cana-4145	137	8	for	for	ADP
cana-4145	137	9	the	the	DET
cana-4145	137	10	test	test	NOUN
cana-4145	137	11	.	.	PUNCT
cana-4145	138	1	it	it	PRON
cana-4145	138	2	can	can	AUX
cana-4145	138	3	be	be	AUX
cana-4145	138	4	observed	observe	VERB
cana-4145	138	5	from	from	ADP
cana-4145	138	6	figs	fig	NOUN
cana-4145	138	7	.	.	PUNCT
cana-4145	139	1	3(a	3(a	NUM
cana-4145	139	2	)	)	PUNCT
cana-4145	139	3	,	,	PUNCT
cana-4145	139	4	3(b	3(b	NUM
cana-4145	139	5	)	)	PUNCT
cana-4145	139	6	,	,	PUNCT
cana-4145	139	7	and	and	CCONJ
cana-4145	139	8	3(c	3(c	NUM
cana-4145	139	9	)	)	PUNCT
cana-4145	139	10	that	that	SCONJ
cana-4145	139	11	when	when	SCONJ
cana-4145	139	12	the	the	DET
cana-4145	139	13	secret	secret	ADJ
cana-4145	139	14	key	key	ADJ
cana-4145	139	15	changes	change	NOUN
cana-4145	139	16	10	10	NUM
cana-4145	139	17	-	-	SYM
cana-4145	139	18	14	14	NUM
cana-4145	139	19	,	,	PUNCT
cana-4145	139	20	the	the	DET
cana-4145	139	21	decrypted	decrypt	VERB
cana-4145	139	22	images	image	NOUN
cana-4145	139	23	are	be	AUX
cana-4145	139	24	like	like	ADP
cana-4145	139	25	white	white	ADJ
cana-4145	139	26	noise	noise	NOUN
cana-4145	139	27	image	image	NOUN
cana-4145	139	28	.	.	PUNCT
cana-4145	140	1	therefore	therefore	ADV
cana-4145	140	2	,	,	PUNCT
cana-4145	140	3	it	it	PRON
cana-4145	140	4	shows	show	VERB
cana-4145	140	5	that	that	SCONJ
cana-4145	140	6	the	the	DET
cana-4145	140	7	algorithm	algorithm	NOUN
cana-4145	140	8	has	have	VERB
cana-4145	140	9	high	high	ADJ
cana-4145	140	10	key	key	ADJ
cana-4145	140	11	sensitivity	sensitivity	NOUN
cana-4145	140	12	and	and	CCONJ
cana-4145	140	13	can	can	AUX
cana-4145	140	14	resist	resist	VERB
cana-4145	140	15	brute	brute	ADJ
cana-4145	140	16	force	force	NOUN
cana-4145	140	17	attacks	attack	NOUN
cana-4145	140	18	.	.	PUNCT
cana-4145	141	1	the	the	DET
cana-4145	141	2	encryption	encryption	NOUN
cana-4145	141	3	and	and	CCONJ
cana-4145	141	4	decryption	decryption	NOUN
cana-4145	141	5	times	time	NOUN
cana-4145	141	6	are	be	AUX
cana-4145	141	7	compared	compare	VERB
cana-4145	141	8	with	with	ADP
cana-4145	141	9	conventional	conventional	ADJ
cana-4145	141	10	methods	method	NOUN
cana-4145	141	11	.	.	PUNCT
cana-4145	142	1	image	image	NOUN
cana-4145	142	2	quality	quality	NOUN
cana-4145	142	3	is	be	AUX
cana-4145	142	4	evaluated	evaluate	VERB
cana-4145	142	5	by	by	ADP
cana-4145	142	6	comparing	compare	VERB
cana-4145	142	7	the	the	DET
cana-4145	142	8	original	original	ADJ
cana-4145	142	9	and	and	CCONJ
cana-4145	142	10	decrypted	decrypt	VERB
cana-4145	142	11	images	image	NOUN
cana-4145	142	12	.	.	PUNCT
cana-4145	143	1	5.2	5.2	NUM
cana-4145	143	2	.	.	PUNCT
cana-4145	144	1	histogram	histogram	NOUN
cana-4145	144	2	analysis	analysis	NOUN
cana-4145	144	3	histogram	histogram	NOUN
cana-4145	144	4	is	be	AUX
cana-4145	144	5	commonly	commonly	ADV
cana-4145	144	6	used	use	VERB
cana-4145	144	7	to	to	PART
cana-4145	144	8	show	show	VERB
cana-4145	144	9	the	the	DET
cana-4145	144	10	distribution	distribution	NOUN
cana-4145	144	11	of	of	ADP
cana-4145	144	12	pixels	pixel	NOUN
cana-4145	144	13	in	in	ADP
cana-4145	144	14	an	an	DET
cana-4145	144	15	image	image	NOUN
cana-4145	144	16	.	.	PUNCT
cana-4145	145	1	for	for	ADP
cana-4145	145	2	a	a	DET
cana-4145	145	3	meaningful	meaningful	ADJ
cana-4145	145	4	plain	plain	ADJ
cana-4145	145	5	image	image	NOUN
cana-4145	145	6	,	,	PUNCT
cana-4145	145	7	the	the	DET
cana-4145	145	8	distribution	distribution	NOUN
cana-4145	145	9	of	of	ADP
cana-4145	145	10	pixels	pixel	NOUN
cana-4145	145	11	is	be	AUX
cana-4145	145	12	relatively	relatively	ADV
cana-4145	145	13	concentrated	concentrate	VERB
cana-4145	145	14	,	,	PUNCT
cana-4145	145	15	so	so	CCONJ
cana-4145	145	16	the	the	DET
cana-4145	145	17	histogram	histogram	NOUN
cana-4145	145	18	is	be	AUX
cana-4145	145	19	uneven	uneven	ADJ
cana-4145	145	20	.	.	PUNCT
cana-4145	146	1	for	for	ADP
cana-4145	146	2	a	a	DET
cana-4145	146	3	good	good	ADJ
cana-4145	146	4	meaningful	meaningful	ADJ
cana-4145	146	5	encryption	encryption	NOUN
cana-4145	146	6	scheme	scheme	NOUN
cana-4145	146	7	,	,	PUNCT
cana-4145	146	8	the	the	DET
cana-4145	146	9	histograms	histogram	NOUN
cana-4145	146	10	of	of	ADP
cana-4145	146	11	the	the	DET
cana-4145	146	12	original	original	ADJ
cana-4145	146	13	carrier	carrier	NOUN
cana-4145	146	14	image	image	NOUN
cana-4145	146	15	and	and	CCONJ
cana-4145	146	16	the	the	DET
cana-4145	146	17	carrier	carrier	NOUN
cana-4145	146	18	image	image	NOUN
cana-4145	146	19	containing	contain	VERB
cana-4145	146	20	secret	secret	ADJ
cana-4145	146	21	image	image	NOUN
cana-4145	146	22	should	should	AUX
cana-4145	146	23	keep	keep	VERB
cana-4145	146	24	the	the	DET
cana-4145	146	25	same	same	ADJ
cana-4145	146	26	to	to	PART
cana-4145	146	27	show	show	VERB
cana-4145	146	28	good	good	ADJ
cana-4145	146	29	performance	performance	NOUN
cana-4145	146	30	.	.	PUNCT
cana-4145	147	1	is	be	AUX
cana-4145	147	2	set	set	VERB
cana-4145	147	3	in	in	ADP
cana-4145	147	4	our	our	PRON
cana-4145	147	5	test	test	NOUN
cana-4145	147	6	.	.	PUNCT
cana-4145	148	1	as	as	SCONJ
cana-4145	148	2	shown	show	VERB
cana-4145	148	3	in	in	ADP
cana-4145	148	4	fig	fig	NOUN
cana-4145	148	5	.	.	PUNCT
cana-4145	149	1	4	4	NUM
cana-4145	149	2	,	,	PUNCT
cana-4145	149	3	the	the	DET
cana-4145	149	4	plain	plain	ADJ
cana-4145	149	5	images	image	NOUN
cana-4145	149	6	,	,	PUNCT
cana-4145	149	7	i.e.	i.e.	X
cana-4145	149	8	,	,	PUNCT
cana-4145	149	9	256	256	NUM
cana-4145	149	10	×	×	NOUN
cana-4145	149	11	256	256	NUM
cana-4145	149	12	grayscale	grayscale	NOUN
cana-4145	149	13	image	image	NOUN
cana-4145	149	14	art	art	NOUN
cana-4145	149	15	and	and	CCONJ
cana-4145	149	16	color	color	NOUN
cana-4145	149	17	image	image	NOUN
cana-4145	149	18	boat	boat	NOUN
cana-4145	149	19	are	be	AUX
cana-4145	149	20	selected	select	VERB
cana-4145	149	21	,	,	PUNCT
cana-4145	149	22	the	the	DET
cana-4145	149	23	carrier	carrier	NOUN
cana-4145	149	24	images	image	NOUN
cana-4145	149	25	,	,	PUNCT
cana-4145	149	26	i.e.	i.e.	X
cana-4145	149	27	,	,	PUNCT
cana-4145	149	28	512×512	512×512	NUM
cana-4145	149	29	grayscale	grayscale	NOUN
cana-4145	149	30	images	image	NOUN
cana-4145	149	31	baboon	baboon	NOUN
cana-4145	149	32	,	,	PUNCT
cana-4145	149	33	peppers	pepper	NOUN
cana-4145	149	34	,	,	PUNCT
cana-4145	149	35	and	and	CCONJ
cana-4145	149	36	color	color	NOUN
cana-4145	149	37	image	image	NOUN
cana-4145	149	38	sun	sun	NOUN
cana-4145	149	39	are	be	AUX
cana-4145	149	40	also	also	ADV
cana-4145	149	41	selected	select	VERB
cana-4145	149	42	.	.	PUNCT
cana-4145	150	1	figures	figure	NOUN
cana-4145	150	2	.	.	PUNCT
cana-4145	151	1	4(a	4(a	NUM
cana-4145	151	2	)	)	PUNCT
cana-4145	151	3	and	and	CCONJ
cana-4145	151	4	4(c	4(c	NUM
cana-4145	151	5	)	)	PUNCT
cana-4145	151	6	are	be	AUX
cana-4145	151	7	the	the	DET
cana-4145	151	8	carrier	carrier	NOUN
cana-4145	151	9	images	image	NOUN
cana-4145	151	10	with	with	ADP
cana-4145	151	11	their	their	PRON
cana-4145	151	12	corresponding	correspond	VERB
cana-4145	151	13	histograms	histogram	NOUN
cana-4145	151	14	.	.	PUNCT
cana-4145	152	1	figure	figure	VERB
cana-4145	152	2	3	3	NUM
cana-4145	152	3	:	:	PUNCT
cana-4145	152	4	results	result	NOUN
cana-4145	152	5	of	of	ADP
cana-4145	152	6	the	the	DET
cana-4145	152	7	test	test	NOUN
cana-4145	152	8	images	image	NOUN
cana-4145	152	9	(	(	PUNCT
cana-4145	152	10	a	a	X
cana-4145	152	11	)	)	PUNCT
cana-4145	152	12	original	original	ADJ
cana-4145	152	13	image	image	NOUN
cana-4145	152	14	,	,	PUNCT
cana-4145	152	15	(	(	PUNCT
cana-4145	152	16	b	b	NOUN
cana-4145	152	17	)	)	PUNCT
cana-4145	152	18	encrypted	encrypt	VERB
cana-4145	152	19	image	image	NOUN
cana-4145	152	20	(	(	PUNCT
cana-4145	152	21	c	c	NOUN
cana-4145	152	22	)	)	PUNCT
cana-4145	152	23	original	original	ADJ
cana-4145	152	24	image	image	NOUN
cana-4145	152	25	(	(	PUNCT
cana-4145	152	26	a	a	NOUN
cana-4145	152	27	)	)	PUNCT
cana-4145	152	28	(	(	PUNCT
cana-4145	152	29	b	b	X
cana-4145	152	30	)	)	PUNCT
cana-4145	152	31	(	(	PUNCT
cana-4145	152	32	c	c	X
cana-4145	152	33	)	)	PUNCT
cana-4145	152	34	(	(	PUNCT
cana-4145	152	35	a	a	X
cana-4145	152	36	)	)	PUNCT
cana-4145	152	37	(	(	PUNCT
cana-4145	152	38	b	b	X
cana-4145	152	39	)	)	PUNCT
cana-4145	152	40	(	(	PUNCT
cana-4145	152	41	c	c	X
cana-4145	152	42	)	)	PUNCT
cana-4145	152	43	figure	figure	NOUN
cana-4145	152	44	4	4	NUM
cana-4145	152	45	.	.	NOUN
cana-4145	152	46	histogram	histogram	NOUN
cana-4145	152	47	analysis	analysis	NOUN
cana-4145	152	48	of	of	ADP
cana-4145	152	49	(	(	PUNCT
cana-4145	152	50	a	a	PRON
cana-4145	152	51	)	)	PUNCT
cana-4145	152	52	input	input	NOUN
cana-4145	152	53	image	image	NOUN
cana-4145	152	54	,	,	PUNCT
cana-4145	152	55	(	(	PUNCT
cana-4145	152	56	b	b	NOUN
cana-4145	152	57	)	)	PUNCT
cana-4145	152	58	encrypted	encrypt	VERB
cana-4145	152	59	image	image	NOUN
cana-4145	152	60	,	,	PUNCT
cana-4145	152	61	(	(	PUNCT
cana-4145	152	62	c	c	NOUN
cana-4145	152	63	)	)	PUNCT
cana-4145	152	64	decrypted	decrypt	VERB
cana-4145	152	65	image	image	NOUN
cana-4145	152	66	communications	communication	NOUN
cana-4145	152	67	on	on	ADP
cana-4145	152	68	applied	apply	VERB
cana-4145	152	69	nonlinear	nonlinear	ADJ
cana-4145	152	70	analysis	analysis	NOUN
cana-4145	152	71	issn	issn	NOUN
cana-4145	152	72	:	:	PUNCT
cana-4145	152	73	1074	1074	NUM
cana-4145	152	74	-	-	PUNCT
cana-4145	152	75	133x	133x	NUM
cana-4145	152	76	vol	vol	NOUN
cana-4145	152	77	x	x	NOUN
cana-4145	152	78	no	no	INTJ
cana-4145	152	79	.	.	PUNCT
cana-4145	153	1	y	y	PROPN
cana-4145	153	2	(	(	PUNCT
cana-4145	153	3	2025	2025	NUM
cana-4145	153	4	)	)	PUNCT
cana-4145	153	5	1356	1356	NUM
cana-4145	153	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4145	153	7	5.3	5.3	NUM
cana-4145	153	8	.	.	PUNCT
cana-4145	154	1	noise	noise	NOUN
cana-4145	154	2	attacks	attack	NOUN
cana-4145	154	3	noise	noise	NOUN
cana-4145	154	4	attacks	attack	NOUN
cana-4145	154	5	are	be	AUX
cana-4145	154	6	typically	typically	ADV
cana-4145	154	7	used	use	VERB
cana-4145	154	8	to	to	PART
cana-4145	154	9	test	test	VERB
cana-4145	154	10	the	the	DET
cana-4145	154	11	robustness	robustness	NOUN
cana-4145	154	12	of	of	ADP
cana-4145	154	13	encryption	encryption	NOUN
cana-4145	154	14	systems	system	NOUN
cana-4145	154	15	by	by	ADP
cana-4145	154	16	adding	add	VERB
cana-4145	154	17	random	random	ADJ
cana-4145	154	18	noise	noise	NOUN
cana-4145	154	19	to	to	ADP
cana-4145	154	20	the	the	DET
cana-4145	154	21	encrypted	encrypt	VERB
cana-4145	154	22	data	datum	NOUN
cana-4145	154	23	,	,	PUNCT
cana-4145	154	24	potentially	potentially	ADV
cana-4145	154	25	corrupting	corrupt	VERB
cana-4145	154	26	it	it	PRON
cana-4145	154	27	and	and	CCONJ
cana-4145	154	28	making	make	VERB
cana-4145	154	29	decryption	decryption	NOUN
cana-4145	154	30	difficult	difficult	ADJ
cana-4145	154	31	.	.	PUNCT
cana-4145	155	1	in	in	ADP
cana-4145	155	2	an	an	DET
cana-4145	155	3	image	image	NOUN
cana-4145	155	4	encryption	encryption	NOUN
cana-4145	155	5	system	system	NOUN
cana-4145	155	6	based	base	VERB
cana-4145	155	7	on	on	ADP
cana-4145	155	8	chaotic	chaotic	ADJ
cana-4145	155	9	systems	system	NOUN
cana-4145	155	10	and	and	CCONJ
cana-4145	155	11	rsa	rsa	PROPN
cana-4145	155	12	,	,	PUNCT
cana-4145	155	13	the	the	DET
cana-4145	155	14	analysis	analysis	NOUN
cana-4145	155	15	would	would	AUX
cana-4145	155	16	involve	involve	VERB
cana-4145	155	17	introducing	introduce	VERB
cana-4145	155	18	various	various	ADJ
cana-4145	155	19	types	type	NOUN
cana-4145	155	20	of	of	ADP
cana-4145	155	21	noise	noise	NOUN
cana-4145	155	22	(	(	PUNCT
cana-4145	155	23	e.g.	e.g.	ADV
cana-4145	155	24	,	,	PUNCT
cana-4145	155	25	gaussian	gaussian	ADJ
cana-4145	155	26	noise	noise	NOUN
cana-4145	155	27	,	,	PUNCT
cana-4145	155	28	salt	salt	NOUN
cana-4145	155	29	-	-	PUNCT
cana-4145	155	30	and	and	CCONJ
cana-4145	155	31	-	-	PUNCT
cana-4145	155	32	pepper	pepper	NOUN
cana-4145	155	33	noise	noise	NOUN
cana-4145	155	34	)	)	PUNCT
cana-4145	155	35	and	and	CCONJ
cana-4145	155	36	then	then	ADV
cana-4145	155	37	examining	examine	VERB
cana-4145	155	38	the	the	DET
cana-4145	155	39	effect	effect	NOUN
cana-4145	155	40	on	on	ADP
cana-4145	155	41	the	the	DET
cana-4145	155	42	decrypted	decrypt	VERB
cana-4145	155	43	image	image	NOUN
cana-4145	155	44	.	.	PUNCT
cana-4145	156	1	the	the	DET
cana-4145	156	2	goal	goal	NOUN
cana-4145	156	3	is	be	AUX
cana-4145	156	4	to	to	PART
cana-4145	156	5	analyze	analyze	VERB
cana-4145	156	6	how	how	SCONJ
cana-4145	156	7	resilient	resilient	ADJ
cana-4145	156	8	the	the	DET
cana-4145	156	9	encryption	encryption	NOUN
cana-4145	156	10	scheme	scheme	NOUN
cana-4145	156	11	is	be	AUX
cana-4145	156	12	to	to	ADP
cana-4145	156	13	such	such	ADJ
cana-4145	156	14	attacks	attack	NOUN
cana-4145	156	15	.	.	PUNCT
cana-4145	157	1	ideally	ideally	ADV
cana-4145	157	2	,	,	PUNCT
cana-4145	157	3	a	a	DET
cana-4145	157	4	good	good	ADJ
cana-4145	157	5	encryption	encryption	NOUN
cana-4145	157	6	scheme	scheme	NOUN
cana-4145	157	7	should	should	AUX
cana-4145	157	8	make	make	VERB
cana-4145	157	9	the	the	DET
cana-4145	157	10	decrypted	decrypt	VERB
cana-4145	157	11	image	image	NOUN
cana-4145	157	12	appear	appear	VERB
cana-4145	157	13	as	as	ADP
cana-4145	157	14	random	random	ADJ
cana-4145	157	15	noise	noise	NOUN
cana-4145	157	16	when	when	SCONJ
cana-4145	157	17	the	the	DET
cana-4145	157	18	encryption	encryption	NOUN
cana-4145	157	19	key	key	NOUN
cana-4145	157	20	or	or	CCONJ
cana-4145	157	21	the	the	DET
cana-4145	157	22	image	image	NOUN
cana-4145	157	23	data	datum	NOUN
cana-4145	157	24	is	be	AUX
cana-4145	157	25	tampered	tamper	VERB
cana-4145	157	26	with	with	ADP
cana-4145	157	27	.	.	PUNCT
cana-4145	158	1	furthermore	furthermore	ADV
cana-4145	158	2	,	,	PUNCT
cana-4145	158	3	the	the	DET
cana-4145	158	4	image	image	NOUN
cana-4145	158	5	should	should	AUX
cana-4145	158	6	still	still	ADV
cana-4145	158	7	be	be	AUX
cana-4145	158	8	recoverable	recoverable	ADJ
cana-4145	158	9	once	once	SCONJ
cana-4145	158	10	the	the	DET
cana-4145	158	11	noise	noise	NOUN
cana-4145	158	12	is	be	AUX
cana-4145	158	13	removed	remove	VERB
cana-4145	158	14	or	or	CCONJ
cana-4145	158	15	corrected	correct	VERB
cana-4145	158	16	.	.	PUNCT
cana-4145	159	1	advantages	advantage	NOUN
cana-4145	159	2	and	and	CCONJ
cana-4145	159	3	challenges	challenge	NOUN
cana-4145	159	4	•	•	ADJ
cana-4145	159	5	advantages	advantage	NOUN
cana-4145	159	6	:	:	PUNCT
cana-4145	159	7	o	o	NOUN
cana-4145	159	8	combining	combine	VERB
cana-4145	159	9	chaotic	chaotic	ADJ
cana-4145	159	10	systems	system	NOUN
cana-4145	159	11	and	and	CCONJ
cana-4145	159	12	rsa	rsa	NOUN
cana-4145	159	13	encryption	encryption	NOUN
cana-4145	159	14	leverages	leverage	VERB
cana-4145	159	15	both	both	CCONJ
cana-4145	159	16	the	the	DET
cana-4145	159	17	unpredictable	unpredictable	ADJ
cana-4145	159	18	nature	nature	NOUN
cana-4145	159	19	of	of	ADP
cana-4145	159	20	chaos	chaos	NOUN
cana-4145	159	21	and	and	CCONJ
cana-4145	159	22	the	the	DET
cana-4145	159	23	mathematical	mathematical	ADJ
cana-4145	159	24	security	security	NOUN
cana-4145	159	25	of	of	ADP
cana-4145	159	26	rsa	rsa	NOUN
cana-4145	159	27	,	,	PUNCT
cana-4145	159	28	making	make	VERB
cana-4145	159	29	it	it	PRON
cana-4145	159	30	hard	hard	ADJ
cana-4145	159	31	for	for	SCONJ
cana-4145	159	32	attackers	attacker	NOUN
cana-4145	159	33	to	to	PART
cana-4145	159	34	decrypt	decrypt	VERB
cana-4145	159	35	the	the	DET
cana-4145	159	36	image	image	NOUN
cana-4145	159	37	without	without	ADP
cana-4145	159	38	access	access	NOUN
cana-4145	159	39	to	to	ADP
cana-4145	159	40	the	the	DET
cana-4145	159	41	secret	secret	ADJ
cana-4145	159	42	key	key	NOUN
cana-4145	159	43	.	.	PUNCT
cana-4145	160	1	o	o	PROPN
cana-4145	160	2	histogram	histogram	NOUN
cana-4145	160	3	analysis	analysis	NOUN
cana-4145	160	4	helps	help	VERB
cana-4145	160	5	assess	assess	VERB
cana-4145	160	6	the	the	DET
cana-4145	160	7	encryption	encryption	NOUN
cana-4145	160	8	's	's	PART
cana-4145	160	9	robustness	robustness	NOUN
cana-4145	160	10	by	by	ADP
cana-4145	160	11	ensuring	ensure	VERB
cana-4145	160	12	the	the	DET
cana-4145	160	13	image	image	NOUN
cana-4145	160	14	’s	’s	PART
cana-4145	160	15	pixel	pixel	ADJ
cana-4145	160	16	distribution	distribution	NOUN
cana-4145	160	17	is	be	AUX
cana-4145	160	18	well	well	ADV
cana-4145	160	19	-	-	PUNCT
cana-4145	160	20	randomized	randomize	VERB
cana-4145	160	21	.	.	PUNCT
cana-4145	161	1	•	•	NOUN
cana-4145	161	2	challenges	challenge	NOUN
cana-4145	161	3	:	:	PUNCT
cana-4145	161	4	o	o	NOUN
cana-4145	161	5	computational	computational	ADJ
cana-4145	161	6	complexity	complexity	NOUN
cana-4145	161	7	:	:	PUNCT
cana-4145	161	8	the	the	DET
cana-4145	161	9	use	use	NOUN
cana-4145	161	10	of	of	ADP
cana-4145	161	11	both	both	CCONJ
cana-4145	161	12	chaotic	chaotic	ADJ
cana-4145	161	13	systems	system	NOUN
cana-4145	161	14	and	and	CCONJ
cana-4145	161	15	rsa	rsa	NOUN
cana-4145	161	16	encryption	encryption	NOUN
cana-4145	161	17	can	can	AUX
cana-4145	161	18	increase	increase	VERB
cana-4145	161	19	the	the	DET
cana-4145	161	20	complexity	complexity	NOUN
cana-4145	161	21	,	,	PUNCT
cana-4145	161	22	especially	especially	ADV
cana-4145	161	23	for	for	ADP
cana-4145	161	24	larger	large	ADJ
cana-4145	161	25	images	image	NOUN
cana-4145	161	26	.	.	PUNCT
cana-4145	162	1	o	o	X
cana-4145	162	2	key	key	ADJ
cana-4145	162	3	management	management	NOUN
cana-4145	162	4	:	:	PUNCT
cana-4145	162	5	proper	proper	ADJ
cana-4145	162	6	management	management	NOUN
cana-4145	162	7	of	of	ADP
cana-4145	162	8	the	the	DET
cana-4145	162	9	keys	key	NOUN
cana-4145	162	10	(	(	PUNCT
cana-4145	162	11	especially	especially	ADV
cana-4145	162	12	the	the	DET
cana-4145	162	13	rsa	rsa	PROPN
cana-4145	162	14	private	private	ADJ
cana-4145	162	15	key	key	NOUN
cana-4145	162	16	)	)	PUNCT
cana-4145	162	17	is	be	AUX
cana-4145	162	18	essential	essential	ADJ
cana-4145	162	19	to	to	PART
cana-4145	162	20	ensure	ensure	VERB
cana-4145	162	21	the	the	DET
cana-4145	162	22	system	system	NOUN
cana-4145	162	23	remains	remain	VERB
cana-4145	162	24	secure	secure	ADJ
cana-4145	162	25	.	.	PUNCT
cana-4145	163	1	o	o	PRON
cana-4145	163	2	performance	performance	NOUN
cana-4145	163	3	:	:	PUNCT
cana-4145	163	4	the	the	DET
cana-4145	163	5	use	use	NOUN
cana-4145	163	6	of	of	ADP
cana-4145	163	7	chaotic	chaotic	ADJ
cana-4145	163	8	systems	system	NOUN
cana-4145	163	9	and	and	CCONJ
cana-4145	163	10	rsa	rsa	PROPN
cana-4145	163	11	may	may	AUX
cana-4145	163	12	lead	lead	VERB
cana-4145	163	13	to	to	ADP
cana-4145	163	14	slower	slow	ADJ
cana-4145	163	15	encryption	encryption	NOUN
cana-4145	163	16	/	/	SYM
cana-4145	163	17	decryption	decryption	NOUN
cana-4145	163	18	times	time	NOUN
cana-4145	163	19	compared	compare	VERB
cana-4145	163	20	to	to	ADP
cana-4145	163	21	simpler	simple	ADJ
cana-4145	163	22	encryption	encryption	NOUN
cana-4145	163	23	methods	method	NOUN
cana-4145	163	24	.	.	PUNCT
cana-4145	164	1	6	6	X
cana-4145	164	2	.	.	X
cana-4145	164	3	conclusion	conclusion	NOUN
cana-4145	164	4	this	this	DET
cana-4145	164	5	research	research	NOUN
cana-4145	164	6	presents	present	VERB
cana-4145	164	7	an	an	DET
cana-4145	164	8	image	image	NOUN
cana-4145	164	9	encryption	encryption	NOUN
cana-4145	164	10	and	and	CCONJ
cana-4145	164	11	decryption	decryption	NOUN
cana-4145	164	12	algorithm	algorithm	NOUN
cana-4145	164	13	that	that	PRON
cana-4145	164	14	leverages	leverage	VERB
cana-4145	164	15	both	both	CCONJ
cana-4145	164	16	chaotic	chaotic	ADJ
cana-4145	164	17	systems	system	NOUN
cana-4145	164	18	and	and	CCONJ
cana-4145	164	19	rsa	rsa	PROPN
cana-4145	164	20	cryptography	cryptography	NOUN
cana-4145	164	21	.	.	PUNCT
cana-4145	165	1	the	the	DET
cana-4145	165	2	hybrid	hybrid	ADJ
cana-4145	165	3	approach	approach	NOUN
cana-4145	165	4	offers	offer	VERB
cana-4145	165	5	strong	strong	ADJ
cana-4145	165	6	security	security	NOUN
cana-4145	165	7	and	and	CCONJ
cana-4145	165	8	practical	practical	ADJ
cana-4145	165	9	implementation	implementation	NOUN
cana-4145	165	10	for	for	ADP
cana-4145	165	11	protecting	protect	VERB
cana-4145	165	12	image	image	NOUN
cana-4145	165	13	data	datum	NOUN
cana-4145	165	14	.	.	PUNCT
cana-4145	166	1	future	future	ADJ
cana-4145	166	2	work	work	NOUN
cana-4145	166	3	includes	include	VERB
cana-4145	166	4	optimizing	optimize	VERB
cana-4145	166	5	the	the	DET
cana-4145	166	6	algorithm	algorithm	NOUN
cana-4145	166	7	for	for	ADP
cana-4145	166	8	faster	fast	ADJ
cana-4145	166	9	encryption	encryption	NOUN
cana-4145	166	10	and	and	CCONJ
cana-4145	166	11	exploring	explore	VERB
cana-4145	166	12	other	other	ADJ
cana-4145	166	13	chaotic	chaotic	ADJ
cana-4145	166	14	maps	map	NOUN
cana-4145	166	15	for	for	ADP
cana-4145	166	16	improved	improved	ADJ
cana-4145	166	17	performance	performance	NOUN
cana-4145	166	18	.	.	PUNCT
cana-4145	167	1	in	in	ADP
cana-4145	167	2	conclusion	conclusion	NOUN
cana-4145	167	3	,	,	PUNCT
cana-4145	167	4	the	the	DET
cana-4145	167	5	integration	integration	NOUN
cana-4145	167	6	of	of	ADP
cana-4145	167	7	chaotic	chaotic	ADJ
cana-4145	167	8	systems	system	NOUN
cana-4145	167	9	with	with	ADP
cana-4145	167	10	rsa	rsa	PROPN
cana-4145	167	11	cryptography	cryptography	NOUN
cana-4145	167	12	significantly	significantly	ADV
cana-4145	167	13	enhances	enhance	VERB
cana-4145	167	14	the	the	DET
cana-4145	167	15	security	security	NOUN
cana-4145	167	16	and	and	CCONJ
cana-4145	167	17	efficiency	efficiency	NOUN
cana-4145	167	18	of	of	ADP
cana-4145	167	19	image	image	NOUN
cana-4145	167	20	encryption	encryption	NOUN
cana-4145	167	21	and	and	CCONJ
cana-4145	167	22	decryption	decryption	NOUN
cana-4145	167	23	algorithms	algorithm	NOUN
cana-4145	167	24	.	.	PUNCT
cana-4145	168	1	the	the	DET
cana-4145	168	2	study	study	NOUN
cana-4145	168	3	demonstrates	demonstrate	VERB
cana-4145	168	4	that	that	SCONJ
cana-4145	168	5	employing	employ	VERB
cana-4145	168	6	chebyshev	chebyshev	NOUN
cana-4145	168	7	polynomials	polynomial	NOUN
cana-4145	168	8	not	not	PART
cana-4145	168	9	only	only	ADV
cana-4145	168	10	introduces	introduce	VERB
cana-4145	168	11	desirable	desirable	ADJ
cana-4145	168	12	properties	property	NOUN
cana-4145	168	13	into	into	ADP
cana-4145	168	14	the	the	DET
cana-4145	168	15	cryptographic	cryptographic	ADJ
cana-4145	168	16	process	process	NOUN
cana-4145	168	17	but	but	CCONJ
cana-4145	168	18	also	also	ADV
cana-4145	168	19	creates	create	VERB
cana-4145	168	20	a	a	DET
cana-4145	168	21	more	more	ADV
cana-4145	168	22	robust	robust	ADJ
cana-4145	168	23	framework	framework	NOUN
cana-4145	168	24	against	against	ADP
cana-4145	168	25	potential	potential	ADJ
cana-4145	168	26	attacks	attack	NOUN
cana-4145	168	27	,	,	PUNCT
cana-4145	168	28	as	as	SCONJ
cana-4145	168	29	indicated	indicate	VERB
cana-4145	168	30	by	by	ADP
cana-4145	168	31	the	the	DET
cana-4145	168	32	introduction	introduction	NOUN
cana-4145	168	33	of	of	ADP
cana-4145	168	34	complex	complex	ADJ
cana-4145	168	35	intermediate	intermediate	ADJ
cana-4145	168	36	furthermore	furthermore	ADV
cana-4145	168	37	,	,	PUNCT
cana-4145	168	38	the	the	DET
cana-4145	168	39	combination	combination	NOUN
cana-4145	168	40	of	of	ADP
cana-4145	168	41	dependent	dependent	ADJ
cana-4145	168	42	-	-	PUNCT
cana-4145	168	43	rsa	rsa	NOUN
cana-4145	168	44	and	and	CCONJ
cana-4145	168	45	chaotic	chaotic	ADJ
cana-4145	168	46	mappings	mapping	NOUN
cana-4145	168	47	offers	offer	VERB
cana-4145	168	48	a	a	DET
cana-4145	168	49	dual	dual	ADJ
cana-4145	168	50	-	-	PUNCT
cana-4145	168	51	layer	layer	NOUN
cana-4145	168	52	of	of	ADP
cana-4145	168	53	security	security	NOUN
cana-4145	168	54	,	,	PUNCT
cana-4145	168	55	where	where	SCONJ
cana-4145	168	56	attackers	attacker	NOUN
cana-4145	168	57	face	face	VERB
cana-4145	168	58	two	two	NUM
cana-4145	168	59	levels	level	NOUN
cana-4145	168	60	of	of	ADP
cana-4145	168	61	reverse	reverse	ADJ
cana-4145	168	62	engineering	engineering	NOUN
cana-4145	168	63	to	to	PART
cana-4145	168	64	compromise	compromise	VERB
cana-4145	168	65	the	the	DET
cana-4145	168	66	encryption	encryption	NOUN
cana-4145	168	67	this	this	DET
cana-4145	168	68	approach	approach	NOUN
cana-4145	168	69	not	not	PART
cana-4145	168	70	only	only	ADV
cana-4145	168	71	minimizes	minimize	VERB
cana-4145	168	72	the	the	DET
cana-4145	168	73	computational	computational	ADJ
cana-4145	168	74	overhead	overhead	NOUN
cana-4145	168	75	but	but	CCONJ
cana-4145	168	76	also	also	ADV
cana-4145	168	77	ensures	ensure	VERB
cana-4145	168	78	that	that	SCONJ
cana-4145	168	79	the	the	DET
cana-4145	168	80	rapid	rapid	ADJ
cana-4145	168	81	development	development	NOUN
cana-4145	168	82	of	of	ADP
cana-4145	168	83	digital	digital	ADJ
cana-4145	168	84	image	image	NOUN
cana-4145	168	85	sharing	sharing	NOUN
cana-4145	168	86	remains	remain	VERB
cana-4145	168	87	protected	protect	VERB
cana-4145	168	88	from	from	ADP
cana-4145	168	89	evolving	evolve	VERB
cana-4145	168	90	cybersecurity	cybersecurity	NOUN
cana-4145	168	91	threats	threat	NOUN
cana-4145	168	92	.	.	PUNCT
cana-4145	169	1	ultimately	ultimately	ADV
cana-4145	169	2	,	,	PUNCT
cana-4145	169	3	the	the	DET
cana-4145	169	4	findings	finding	NOUN
cana-4145	169	5	underscore	underscore	VERB
cana-4145	169	6	the	the	DET
cana-4145	169	7	necessity	necessity	NOUN
cana-4145	169	8	for	for	ADP
cana-4145	169	9	continuous	continuous	ADJ
cana-4145	169	10	innovation	innovation	NOUN
cana-4145	169	11	in	in	ADP
cana-4145	169	12	cryptographic	cryptographic	ADJ
cana-4145	169	13	methods	method	NOUN
cana-4145	169	14	to	to	PART
cana-4145	169	15	maintain	maintain	VERB
cana-4145	169	16	data	data	NOUN
cana-4145	169	17	integrity	integrity	NOUN
cana-4145	169	18	and	and	CCONJ
cana-4145	169	19	confidentiality	confidentiality	NOUN
cana-4145	169	20	in	in	ADP
cana-4145	169	21	an	an	DET
cana-4145	169	22	increasingly	increasingly	ADV
cana-4145	169	23	digital	digital	ADJ
cana-4145	169	24	world	world	NOUN
cana-4145	169	25	.	.	PUNCT
cana-4145	170	1	communications	communication	NOUN
cana-4145	170	2	on	on	ADP
cana-4145	170	3	applied	apply	VERB
cana-4145	170	4	nonlinear	nonlinear	ADJ
cana-4145	170	5	analysis	analysis	NOUN
cana-4145	170	6	issn	issn	NOUN
cana-4145	170	7	:	:	PUNCT
cana-4145	170	8	1074	1074	NUM
cana-4145	170	9	-	-	PUNCT
cana-4145	170	10	133x	133x	NUM
cana-4145	170	11	vol	vol	NOUN
cana-4145	170	12	x	x	NOUN
cana-4145	170	13	no	no	INTJ
cana-4145	170	14	.	.	PUNCT
cana-4145	171	1	y	y	PROPN
cana-4145	171	2	(	(	PUNCT
cana-4145	171	3	2025	2025	NUM
cana-4145	171	4	)	)	PUNCT
cana-4145	171	5	1357	1357	NUM
cana-4145	171	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4145	171	7	acknowledgements	acknowledgement	NOUN
cana-4145	171	8	:	:	PUNCT
cana-4145	171	9	i	i	PRON
cana-4145	171	10	would	would	AUX
cana-4145	171	11	like	like	VERB
cana-4145	171	12	to	to	PART
cana-4145	171	13	express	express	VERB
cana-4145	171	14	my	my	PRON
cana-4145	171	15	heartfelt	heartfelt	ADJ
cana-4145	171	16	gratitude	gratitude	NOUN
cana-4145	171	17	to	to	ADP
cana-4145	171	18	my	my	PRON
cana-4145	171	19	research	research	NOUN
cana-4145	171	20	supervisor	supervisor	NOUN
cana-4145	171	21	dr	dr	PROPN
cana-4145	171	22	.	.	PROPN
cana-4145	171	23	sanjay	sanjay	PROPN
cana-4145	171	24	yadav	yadav	PROPN
cana-4145	171	25	,	,	PUNCT
cana-4145	171	26	&	&	CCONJ
cana-4145	171	27	dr	dr	PROPN
cana-4145	171	28	.	.	PROPN
cana-4145	171	29	rajni	rajni	PROPN
cana-4145	171	30	rohila	rohila	NOUN
cana-4145	171	31	for	for	ADP
cana-4145	171	32	their	their	PRON
cana-4145	171	33	invaluable	invaluable	ADJ
cana-4145	171	34	guidance	guidance	NOUN
cana-4145	171	35	,	,	PUNCT
cana-4145	171	36	expertise	expertise	NOUN
cana-4145	171	37	,	,	PUNCT
cana-4145	171	38	and	and	CCONJ
cana-4145	171	39	support	support	NOUN
cana-4145	171	40	throughout	throughout	ADP
cana-4145	171	41	the	the	DET
cana-4145	171	42	course	course	NOUN
cana-4145	171	43	of	of	ADP
cana-4145	171	44	this	this	DET
cana-4145	171	45	research	research	NOUN
cana-4145	171	46	.	.	PUNCT
cana-4145	172	1	i	i	PRON
cana-4145	172	2	want	want	VERB
cana-4145	172	3	to	to	PART
cana-4145	172	4	extend	extend	VERB
cana-4145	172	5	my	my	PRON
cana-4145	172	6	sincere	sincere	ADJ
cana-4145	172	7	gratitude	gratitude	NOUN
cana-4145	172	8	to	to	ADP
cana-4145	172	9	my	my	PRON
cana-4145	172	10	colleagues	colleague	NOUN
cana-4145	172	11	for	for	ADP
cana-4145	172	12	their	their	PRON
cana-4145	172	13	support	support	NOUN
cana-4145	172	14	and	and	CCONJ
cana-4145	172	15	collaboration	collaboration	NOUN
cana-4145	172	16	.	.	PUNCT
cana-4145	173	1	references	reference	NOUN
cana-4145	173	2	1	1	NUM
cana-4145	173	3	.	.	PUNCT
cana-4145	174	1	stallings	stallings	PROPN
cana-4145	174	2	,	,	PUNCT
cana-4145	174	3	william	william	PROPN
cana-4145	174	4	,	,	PUNCT
cana-4145	174	5	cryptography	cryptography	NOUN
cana-4145	174	6	and	and	CCONJ
cana-4145	174	7	network	network	NOUN
cana-4145	174	8	security	security	NOUN
cana-4145	174	9	:	:	PUNCT
cana-4145	174	10	principles	principle	NOUN
cana-4145	174	11	and	and	CCONJ
cana-4145	174	12	practice	practice	NOUN
cana-4145	174	13	.	.	PUNCT
cana-4145	175	1	prentice	prentice	NOUN
cana-4145	175	2	-	-	PUNCT
cana-4145	175	3	hall	hall	NOUN
cana-4145	175	4	,	,	PUNCT
cana-4145	175	5	new	new	PROPN
cana-4145	175	6	jersey	jersey	PROPN
cana-4145	175	7	,	,	PUNCT
cana-4145	175	8	2004	2004	NUM
cana-4145	175	9	.	.	PUNCT
cana-4145	176	1	2	2	X
cana-4145	176	2	.	.	X
cana-4145	176	3	taki	taki	PROPN
cana-4145	176	4	,	,	PUNCT
cana-4145	176	5	a.	a.	PROPN
cana-4145	176	6	e.	e.	PROPN
cana-4145	176	7	,	,	PUNCT
cana-4145	176	8	deen	deen	PROPN
cana-4145	176	9	,	,	PUNCT
cana-4145	176	10	e.	e.	PROPN
cana-4145	176	11	,	,	PUNCT
cana-4145	176	12	&	&	CCONJ
cana-4145	176	13	gobran	gobran	PROPN
cana-4145	176	14	,	,	PUNCT
cana-4145	176	15	s.	s.	PROPN
cana-4145	176	16	n.	n.	PROPN
cana-4145	176	17	“	"	PUNCT
cana-4145	176	18	digital	digital	ADJ
cana-4145	176	19	image	image	NOUN
cana-4145	176	20	encryption	encryption	NOUN
cana-4145	176	21	based	base	VERB
cana-4145	176	22	on	on	ADP
cana-4145	176	23	rsa	rsa	PROPN
cana-4145	176	24	algorithm	algorithm	NOUN
cana-4145	176	25	,	,	PUNCT
cana-4145	176	26	”	"	PUNCT
cana-4145	176	27	9(1	9(1	NUM
cana-4145	176	28	)	)	PUNCT
cana-4145	176	29	,	,	PUNCT
cana-4145	176	30	69–73	69–73	X
cana-4145	176	31	,	,	PUNCT
cana-4145	176	32	2014	2014	NUM
cana-4145	176	33	.	.	PUNCT
cana-4145	177	1	3	3	X
cana-4145	177	2	.	.	X
cana-4145	177	3	arabind	arabind	PROPN
cana-4145	177	4	kumar	kumar	PROPN
cana-4145	177	5	,	,	PUNCT
cana-4145	177	6	sanjay	sanjay	PROPN
cana-4145	177	7	yadav	yadav	PROPN
cana-4145	177	8	and	and	CCONJ
cana-4145	177	9	tarul	tarul	PROPN
cana-4145	177	10	garg	garg	NOUN
cana-4145	177	11	,	,	PUNCT
cana-4145	177	12	"	"	PUNCT
cana-4145	177	13	phase	phase	NOUN
cana-4145	177	14	-	-	PUNCT
cana-4145	177	15	image	image	NOUN
cana-4145	177	16	-	-	PUNCT
cana-4145	177	17	encryption	encryption	NOUN
cana-4145	177	18	-	-	PUNCT
cana-4145	177	19	based	base	VERB
cana-4145	177	20	elliptic	elliptic	ADJ
cana-4145	177	21	curve	curve	NOUN
cana-4145	177	22	and	and	CCONJ
cana-4145	177	23	double	double	ADJ
cana-4145	177	24	-	-	PUNCT
cana-4145	177	25	random	random	ADJ
cana-4145	177	26	-	-	PUNCT
cana-4145	177	27	phase	phase	NOUN
cana-4145	177	28	encoding	encoding	NOUN
cana-4145	177	29	"	"	PUNCT
cana-4145	177	30	in	in	ADP
cana-4145	177	31	engineering	engineering	NOUN
cana-4145	177	32	proceedings	proceeding	NOUN
cana-4145	177	33	mpdi	mpdi	NOUN
cana-4145	177	34	,	,	PUNCT
cana-4145	177	35	january	january	PROPN
cana-4145	177	36	2024	2024	NUM
cana-4145	177	37	.	.	PUNCT
cana-4145	178	1	4	4	NUM
cana-4145	178	2	.	.	X
cana-4145	178	3	zhang	zhang	PROPN
cana-4145	178	4	y	y	PROPN
cana-4145	178	5	,	,	PUNCT
cana-4145	178	6	xu	xu	PROPN
cana-4145	179	1	b	b	X
cana-4145	179	2	,	,	PUNCT
cana-4145	179	3	zhou	zhou	PROPN
cana-4145	179	4	nr	nr	PROPN
cana-4145	179	5	,	,	PUNCT
cana-4145	179	6	“	"	PUNCT
cana-4145	179	7	a	a	DET
cana-4145	179	8	novel	novel	ADJ
cana-4145	179	9	image	image	NOUN
cana-4145	179	10	compression	compression	NOUN
cana-4145	179	11	-	-	PUNCT
cana-4145	179	12	encryption	encryption	NOUN
cana-4145	179	13	hybrid	hybrid	ADJ
cana-4145	179	14	algorithm	algorithm	NOUN
cana-4145	179	15	based	base	VERB
cana-4145	179	16	on	on	ADP
cana-4145	179	17	the	the	DET
cana-4145	179	18	analysis	analysis	NOUN
cana-4145	179	19	sparse	sparse	ADJ
cana-4145	179	20	representation	representation	NOUN
cana-4145	179	21	”	"	PUNCT
cana-4145	179	22	opt	opt	PROPN
cana-4145	179	23	commun	commun	PROPN
cana-4145	179	24	2017	2017	NUM
cana-4145	179	25	;	;	PUNCT
cana-4145	179	26	392:223–33	392:223–33	NUM
cana-4145	179	27	.	.	PUNCT
cana-4145	179	28	5	5	NUM
cana-4145	179	29	.	.	X
cana-4145	179	30	gaur	gaur	PROPN
cana-4145	179	31	,	,	PUNCT
cana-4145	179	32	e.	e.	PROPN
cana-4145	179	33	a.	a.	PROPN
cana-4145	179	34	,	,	PUNCT
cana-4145	179	35	&	&	CCONJ
cana-4145	179	36	gupta	gupta	PROPN
cana-4145	179	37	,	,	PUNCT
cana-4145	179	38	e.	e.	PROPN
cana-4145	179	39	m.	m.	PROPN
cana-4145	179	40	,	,	PUNCT
cana-4145	179	41	“	"	PUNCT
cana-4145	179	42	review	review	NOUN
cana-4145	179	43	:	:	PUNCT
cana-4145	179	44	image	image	NOUN
cana-4145	179	45	encryption	encryption	NOUN
cana-4145	179	46	using	use	VERB
cana-4145	179	47	chaos	chaos	NOUN
cana-4145	179	48	based	base	VERB
cana-4145	179	49	algorithms	algorithm	NOUN
cana-4145	179	50	”	"	PUNCT
cana-4145	179	51	,	,	PUNCT
cana-4145	179	52	international	international	ADJ
cana-4145	179	53	journal	journal	NOUN
cana-4145	179	54	of	of	ADP
cana-4145	179	55	computer	computer	NOUN
cana-4145	179	56	applications	application	NOUN
cana-4145	179	57	4(3	4(3	NUM
cana-4145	179	58	)	)	PUNCT
cana-4145	179	59	,	,	PUNCT
cana-4145	179	60	904–907	904–907	NUM
cana-4145	179	61	,	,	PUNCT
cana-4145	179	62	2014	2014	NUM
cana-4145	179	63	.	.	PUNCT
cana-4145	180	1	6	6	NUM
cana-4145	180	2	.	.	X
cana-4145	180	3	arabind	arabind	PROPN
cana-4145	180	4	kumar	kumar	PROPN
cana-4145	180	5	,	,	PUNCT
cana-4145	180	6	sanjay	sanjay	PROPN
cana-4145	180	7	yadav	yadav	PROPN
cana-4145	180	8	,	,	PUNCT
cana-4145	180	9	“	"	PUNCT
cana-4145	180	10	a	a	DET
cana-4145	180	11	new	new	ADJ
cana-4145	180	12	image	image	NOUN
cana-4145	180	13	encryption	encryption	NOUN
cana-4145	180	14	scheme	scheme	NOUN
cana-4145	180	15	using	use	VERB
cana-4145	180	16	rsa	rsa	NOUN
cana-4145	180	17	cryptosystem	cryptosystem	NOUN
cana-4145	180	18	and	and	CCONJ
cana-4145	180	19	arnold	arnold	PROPN
cana-4145	180	20	transformation	transformation	PROPN
cana-4145	180	21	”	"	PUNCT
cana-4145	180	22	in	in	ADP
cana-4145	180	23	advances	advance	NOUN
cana-4145	180	24	in	in	ADP
cana-4145	180	25	computational	computational	ADJ
cana-4145	180	26	intelligence	intelligence	NOUN
cana-4145	180	27	,	,	PUNCT
cana-4145	180	28	algorithms	algorithm	NOUN
cana-4145	180	29	for	for	ADP
cana-4145	180	30	intelligent	intelligent	ADJ
cana-4145	180	31	system	system	NOUN
cana-4145	180	32	,	,	PUNCT
cana-4145	180	33	2023	2023	NUM
cana-4145	180	34	,	,	PUNCT
cana-4145	180	35	pp	pp	ADJ
cana-4145	180	36	.	.	PUNCT
cana-4145	181	1	187	187	NUM
cana-4145	181	2	-	-	SYM
cana-4145	181	3	198	198	NUM
cana-4145	181	4	7	7	NUM
cana-4145	181	5	.	.	PUNCT
cana-4145	181	6	pahrul	pahrul	PROPN
cana-4145	181	7	irfan	irfan	PROPN
cana-4145	181	8	,	,	PUNCT
cana-4145	181	9	yudi	yudi	PROPN
cana-4145	181	10	prayudi	prayudi	NOUN
cana-4145	181	11	,	,	PUNCT
cana-4145	181	12	imam	imam	NOUN
cana-4145	181	13	riadi	riadi	NOUN
cana-4145	181	14	,	,	PUNCT
cana-4145	181	15	“	"	PUNCT
cana-4145	181	16	image	image	NOUN
cana-4145	181	17	encryption	encryption	NOUN
cana-4145	181	18	using	use	VERB
cana-4145	181	19	combination	combination	NOUN
cana-4145	181	20	of	of	ADP
cana-4145	181	21	chaotic	chaotic	ADJ
cana-4145	181	22	system	system	NOUN
cana-4145	181	23	and	and	CCONJ
cana-4145	181	24	rivers	river	NOUN
cana-4145	181	25	shamir	shamir	PROPN
cana-4145	181	26	adleman	adleman	PROPN
cana-4145	181	27	(	(	PUNCT
cana-4145	181	28	rsa	rsa	NOUN
cana-4145	181	29	)	)	PUNCT
cana-4145	181	30	”	"	PUNCT
cana-4145	181	31	international	international	ADJ
cana-4145	181	32	journal	journal	NOUN
cana-4145	181	33	of	of	ADP
cana-4145	181	34	computer	computer	NOUN
cana-4145	181	35	applications	application	NOUN
cana-4145	181	36	(	(	PUNCT
cana-4145	181	37	0975	0975	NUM
cana-4145	181	38	–	–	PUNCT
cana-4145	181	39	8887	8887	NUM
cana-4145	181	40	)	)	PUNCT
cana-4145	181	41	volume	volume	NOUN
cana-4145	181	42	123	123	NUM
cana-4145	181	43	–	–	PUNCT
cana-4145	181	44	no.6	no.6	PROPN
cana-4145	181	45	,	,	PUNCT
cana-4145	181	46	august	august	PROPN
cana-4145	181	47	2015	2015	NUM
cana-4145	181	48	8	8	NUM
cana-4145	181	49	.	.	PUNCT
cana-4145	181	50	a.	a.	NOUN
cana-4145	181	51	m.	m.	PROPN
cana-4145	181	52	t.	t.	PROPN
cana-4145	181	53	othman	othman	PROPN
cana-4145	181	54	,	,	PUNCT
cana-4145	181	55	"	"	PUNCT
cana-4145	181	56	chaotic	chaotic	ADJ
cana-4145	181	57	encryption	encryption	NOUN
cana-4145	181	58	systems	system	NOUN
cana-4145	181	59	for	for	ADP
cana-4145	181	60	image	image	NOUN
cana-4145	181	61	data	datum	NOUN
cana-4145	181	62	,	,	PUNCT
cana-4145	181	63	"	"	PUNCT
cana-4145	181	64	international	international	ADJ
cana-4145	181	65	journal	journal	NOUN
cana-4145	181	66	of	of	ADP
cana-4145	181	67	computer	computer	NOUN
cana-4145	181	68	applications	application	NOUN
cana-4145	181	69	,	,	PUNCT
cana-4145	181	70	vol	vol	NOUN
cana-4145	181	71	.	.	PROPN
cana-4145	181	72	92	92	NUM
cana-4145	181	73	,	,	PUNCT
cana-4145	181	74	no	no	INTJ
cana-4145	181	75	.	.	NOUN
cana-4145	181	76	14	14	NUM
cana-4145	181	77	,	,	PUNCT
cana-4145	181	78	pp	pp	ADJ
cana-4145	181	79	.	.	PUNCT
cana-4145	182	1	28–33	28–33	NUM
cana-4145	182	2	,	,	PUNCT
cana-4145	182	3	2013	2013	NUM
cana-4145	182	4	.	.	PUNCT
cana-4145	183	1	9	9	NUM
cana-4145	183	2	.	.	X
cana-4145	183	3	zhao	zhao	PROPN
cana-4145	183	4	ty	ty	PROPN
cana-4145	183	5	,	,	PUNCT
cana-4145	183	6	ran	run	VERB
cana-4145	183	7	qw	qw	NOUN
cana-4145	183	8	,	,	PUNCT
cana-4145	183	9	chi	chi	PROPN
cana-4145	183	10	yy	yy	PROPN
cana-4145	183	11	,	,	PUNCT
cana-4145	183	12	“	"	PUNCT
cana-4145	183	13	image	image	NOUN
cana-4145	183	14	encryption	encryption	NOUN
cana-4145	183	15	based	base	VERB
cana-4145	183	16	on	on	ADP
cana-4145	183	17	nonlinear	nonlinear	ADJ
cana-4145	183	18	encryption	encryption	NOUN
cana-4145	183	19	system	system	NOUN
cana-4145	183	20	and	and	CCONJ
cana-4145	183	21	publickey	publickey	ADJ
cana-4145	183	22	cryptography	cryptography	NOUN
cana-4145	183	23	”	"	PUNCT
cana-4145	183	24	opt	opt	PROPN
cana-4145	183	25	commun	commun	PROPN
cana-4145	183	26	2015	2015	NUM
cana-4145	183	27	;	;	PUNCT
cana-4145	184	1	338:64–72	338:64–72	NUM
cana-4145	184	2	.	.	NOUN
cana-4145	184	3	10	10	NUM
cana-4145	184	4	.	.	PUNCT
cana-4145	185	1	l.	l.	PROPN
cana-4145	185	2	s.	s.	PROPN
cana-4145	185	3	z.	z.	PROPN
cana-4145	185	4	wang	wang	PROPN
cana-4145	185	5	,	,	PUNCT
cana-4145	185	6	z.	z.	PROPN
cana-4145	185	7	y.	y.	PROPN
cana-4145	185	8	wang	wang	PROPN
cana-4145	185	9	,	,	PUNCT
cana-4145	185	10	and	and	CCONJ
cana-4145	185	11	c.	c.	PROPN
cana-4145	185	12	m.	m.	PROPN
cana-4145	185	13	zhang	zhang	PROPN
cana-4145	185	14	,	,	PUNCT
cana-4145	185	15	"	"	PUNCT
cana-4145	185	16	a	a	DET
cana-4145	185	17	novel	novel	ADJ
cana-4145	185	18	image	image	NOUN
cana-4145	185	19	encryption	encryption	NOUN
cana-4145	185	20	algorithm	algorithm	NOUN
cana-4145	185	21	based	base	VERB
cana-4145	185	22	on	on	ADP
cana-4145	185	23	chaotic	chaotic	ADJ
cana-4145	185	24	system	system	NOUN
cana-4145	185	25	and	and	CCONJ
cana-4145	185	26	dna	dna	NOUN
cana-4145	185	27	sequence	sequence	NOUN
cana-4145	185	28	,	,	PUNCT
cana-4145	185	29	"	"	PUNCT
cana-4145	185	30	international	international	ADJ
cana-4145	185	31	journal	journal	NOUN
cana-4145	185	32	of	of	ADP
cana-4145	185	33	security	security	NOUN
cana-4145	185	34	and	and	CCONJ
cana-4145	185	35	its	its	PRON
cana-4145	185	36	applications	application	NOUN
cana-4145	185	37	,	,	PUNCT
cana-4145	185	38	vol	vol	NOUN
cana-4145	185	39	.	.	PROPN
cana-4145	185	40	9	9	NUM
cana-4145	185	41	,	,	PUNCT
cana-4145	185	42	no	no	INTJ
cana-4145	185	43	.	.	NOUN
cana-4145	185	44	7	7	NUM
cana-4145	185	45	.	.	NOUN
cana-4145	185	46	11	11	NUM
cana-4145	185	47	.	.	PUNCT
cana-4145	186	1	ying	ying	PROPN
cana-4145	186	2	liu	liu	PROPN
cana-4145	186	3	,	,	PUNCT
cana-4145	186	4	wei	wei	PROPN
cana-4145	186	5	zhang	zhang	PROPN
cana-4145	186	6	,	,	PUNCT
cana-4145	186	7	xinxia	xinxia	PROPN
cana-4145	186	8	peng	peng	PROPN
cana-4145	186	9	,	,	PUNCT
cana-4145	186	10	yan	yan	PROPN
cana-4145	186	11	liu	liu	PROPN
cana-4145	186	12	,	,	PUNCT
cana-4145	186	13	sida	sida	PROPN
cana-4145	186	14	zheng	zheng	PROPN
cana-4145	186	15	,	,	PUNCT
cana-4145	186	16	tongjia	tongjia	PROPN
cana-4145	186	17	wei	wei	PROPN
cana-4145	186	18	,	,	PUNCT
cana-4145	186	19	“	"	PUNCT
cana-4145	186	20	design	design	NOUN
cana-4145	186	21	of	of	ADP
cana-4145	186	22	password	password	NOUN
cana-4145	186	23	encryption	encryption	NOUN
cana-4145	186	24	model	model	NOUN
cana-4145	186	25	based	base	VERB
cana-4145	186	26	on	on	ADP
cana-4145	186	27	aes	aes	PROPN
cana-4145	186	28	algorithm	algorithm	NOUN
cana-4145	186	29	”	"	PUNCT
cana-4145	186	30	international	international	ADJ
cana-4145	186	31	conference	conference	NOUN
cana-4145	186	32	on	on	ADP
cana-4145	186	33	civil	civil	ADJ
cana-4145	186	34	aviation	aviation	NOUN
cana-4145	186	35	safety	safety	NOUN
cana-4145	186	36	and	and	CCONJ
cana-4145	186	37	information	information	NOUN
cana-4145	186	38	technology	technology	NOUN
cana-4145	186	39	(	(	PUNCT
cana-4145	186	40	iccasit	iccasit	PROPN
cana-4145	186	41	)	)	PUNCT
cana-4145	186	42	,	,	PUNCT
cana-4145	186	43	january	january	PROPN
cana-4145	186	44	2020	2020	NUM
cana-4145	186	45	.	.	PUNCT
cana-4145	187	1	12	12	NUM
cana-4145	187	2	.	.	PUNCT
cana-4145	188	1	bowen	bowen	PROPN
cana-4145	188	2	zhang	zhang	PROPN
cana-4145	188	3	and	and	CCONJ
cana-4145	188	4	lingfeng	lingfeng	PROPN
cana-4145	188	5	liu	liu	PROPN
cana-4145	188	6	,	,	PUNCT
cana-4145	188	7	“	"	PUNCT
cana-4145	188	8	chaos	chaos	NOUN
cana-4145	188	9	-	-	PUNCT
cana-4145	188	10	based	base	VERB
cana-4145	188	11	image	image	NOUN
cana-4145	188	12	encryption	encryption	NOUN
cana-4145	188	13	:	:	PUNCT
cana-4145	188	14	review	review	NOUN
cana-4145	188	15	,	,	PUNCT
cana-4145	188	16	application	application	NOUN
cana-4145	188	17	,	,	PUNCT
cana-4145	188	18	and	and	CCONJ
cana-4145	188	19	challenges	challenge	NOUN
cana-4145	188	20	”	"	PUNCT
cana-4145	188	21	,	,	PUNCT
cana-4145	188	22	chaos	chaos	NOUN
cana-4145	188	23	-	-	PUNCT
cana-4145	188	24	based	base	VERB
cana-4145	188	25	secure	secure	ADJ
cana-4145	188	26	communication	communication	NOUN
cana-4145	188	27	and	and	CCONJ
cana-4145	188	28	cryptography	cryptography	NOUN
cana-4145	188	29	,	,	PUNCT
cana-4145	188	30	june	june	PROPN
cana-4145	188	31	2023	2023	NUM
cana-4145	188	32	.	.	PUNCT
cana-4145	189	1	13	13	NUM
cana-4145	189	2	.	.	PUNCT
cana-4145	190	1	ziaur	ziaur	PROPN
cana-4145	190	2	rahman	rahman	PROPN
cana-4145	190	3	,	,	PUNCT
cana-4145	190	4	xun	xun	PROPN
cana-4145	190	5	yi	yi	PROPN
cana-4145	190	6	,	,	PUNCT
cana-4145	190	7	ibrahim	ibrahim	PROPN
cana-4145	190	8	khalil	khalil	PROPN
cana-4145	190	9	,	,	PUNCT
cana-4145	190	10	mousumi	mousumi	ADJ
cana-4145	190	11	sumi	sumi	NOUN
cana-4145	190	12	“	"	PUNCT
cana-4145	190	13	chaos	chaos	NOUN
cana-4145	190	14	and	and	CCONJ
cana-4145	190	15	logistic	logistic	ADJ
cana-4145	190	16	map	map	NOUN
cana-4145	190	17	based	base	VERB
cana-4145	190	18	key	key	ADJ
cana-4145	190	19	generation	generation	NOUN
cana-4145	190	20	technique	technique	NOUN
cana-4145	190	21	for	for	ADP
cana-4145	190	22	aes	aes	NOUN
cana-4145	190	23	-	-	PUNCT
cana-4145	190	24	driven	drive	VERB
cana-4145	190	25	iot	iot	NOUN
cana-4145	190	26	security	security	NOUN
cana-4145	190	27	”	"	PUNCT
cana-4145	190	28	lecture	lecture	NOUN
cana-4145	190	29	notes	note	NOUN
cana-4145	190	30	of	of	ADP
cana-4145	190	31	the	the	DET
cana-4145	190	32	institute	institute	NOUN
cana-4145	190	33	for	for	ADP
cana-4145	190	34	computer	computer	NOUN
cana-4145	190	35	sciences	science	NOUN
cana-4145	190	36	,	,	PUNCT
cana-4145	190	37	november	november	PROPN
cana-4145	190	38	2021	2021	NUM
cana-4145	190	39	.	.	PUNCT
cana-4145	191	1	14	14	NUM
cana-4145	191	2	.	.	X
cana-4145	192	1	tao	tao	PROPN
cana-4145	192	2	,	,	PUNCT
cana-4145	192	3	x.	x.	PROPN
cana-4145	192	4	,	,	PUNCT
cana-4145	192	5	et	et	PROPN
cana-4145	192	6	al	al	PROPN
cana-4145	192	7	.	.	PUNCT
cana-4145	192	8	(	(	PUNCT
cana-4145	192	9	2016	2016	NUM
cana-4145	192	10	)	)	PUNCT
cana-4145	192	11	.	.	PUNCT
cana-4145	193	1	"	"	PUNCT
cana-4145	193	2	image	image	NOUN
cana-4145	193	3	encryption	encryption	NOUN
cana-4145	193	4	based	base	VERB
cana-4145	193	5	on	on	ADP
cana-4145	193	6	chaotic	chaotic	ADJ
cana-4145	193	7	maps	map	NOUN
cana-4145	193	8	,	,	PUNCT
cana-4145	193	9	"	"	PUNCT
cana-4145	193	10	journal	journal	NOUN
cana-4145	193	11	of	of	ADP
cana-4145	193	12	mathematical	mathematical	ADJ
cana-4145	193	13	imaging	imaging	NOUN
cana-4145	193	14	and	and	CCONJ
cana-4145	193	15	vision	vision	NOUN
cana-4145	193	16	.	.	PUNCT
cana-4145	194	1	15	15	X
cana-4145	194	2	.	.	X
cana-4145	194	3	young	young	ADJ
cana-4145	194	4	-	-	PUNCT
cana-4145	194	5	long	long	ADJ
cana-4145	194	6	chen	chen	PROPN
cana-4145	194	7	,	,	PUNCT
cana-4145	194	8	chung	chung	PROPN
cana-4145	194	9	-	-	PUNCT
cana-4145	194	10	ming	ming	PROPN
cana-4145	194	11	cheng	cheng	PROPN
cana-4145	194	12	,	,	PUNCT
cana-4145	194	13	“	"	PUNCT
cana-4145	194	14	combining	combine	VERB
cana-4145	194	15	a	a	DET
cana-4145	194	16	chaos	chaos	NOUN
cana-4145	194	17	system	system	NOUN
cana-4145	194	18	with	with	ADP
cana-4145	194	19	an	an	DET
cana-4145	194	20	arnold	arnold	PROPN
cana-4145	194	21	cat	cat	PROPN
cana-4145	194	22	map	map	NOUN
cana-4145	194	23	for	for	ADP
cana-4145	194	24	a	a	DET
cana-4145	194	25	secure	secure	ADJ
cana-4145	194	26	authentication	authentication	NOUN
cana-4145	194	27	scheme	scheme	NOUN
cana-4145	194	28	in	in	ADP
cana-4145	194	29	wireless	wireless	ADJ
cana-4145	194	30	communication	communication	NOUN
cana-4145	194	31	networks	network	NOUN
cana-4145	194	32	”	"	PUNCT
cana-4145	194	33	,	,	PUNCT
cana-4145	194	34	engineering	engineering	NOUN
cana-4145	194	35	computations	computation	NOUN
cana-4145	194	36	issn	issn	VERB
cana-4145	194	37	:	:	PUNCT
cana-4145	194	38	0264	0264	NUM
cana-4145	194	39	-	-	SYM
cana-4145	194	40	4401	4401	NUM
cana-4145	194	41	,	,	PUNCT
cana-4145	194	42	february	february	PROPN
cana-4145	194	43	2014	2014	NUM
cana-4145	194	44	.	.	PUNCT
cana-4145	195	1	communications	communication	NOUN
cana-4145	195	2	on	on	ADP
cana-4145	195	3	applied	apply	VERB
cana-4145	195	4	nonlinear	nonlinear	ADJ
cana-4145	195	5	analysis	analysis	NOUN
cana-4145	195	6	issn	issn	NOUN
cana-4145	195	7	:	:	PUNCT
cana-4145	195	8	1074	1074	NUM
cana-4145	195	9	-	-	PUNCT
cana-4145	195	10	133x	133x	NUM
cana-4145	195	11	vol	vol	NOUN
cana-4145	195	12	x	x	NOUN
cana-4145	195	13	no	no	INTJ
cana-4145	195	14	.	.	PUNCT
cana-4145	196	1	y	y	PROPN
cana-4145	196	2	(	(	PUNCT
cana-4145	196	3	2025	2025	NUM
cana-4145	196	4	)	)	PUNCT
cana-4145	196	5	1358	1358	NUM
cana-4145	196	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4145	196	7	16	16	NUM
cana-4145	196	8	.	.	PUNCT
cana-4145	197	1	zhou	zhou	PROPN
cana-4145	197	2	,	,	PUNCT
cana-4145	197	3	x.	x.	PROPN
cana-4145	197	4	,	,	PUNCT
cana-4145	197	5	et	et	PROPN
cana-4145	197	6	al	al	PROPN
cana-4145	197	7	.	.	PUNCT
cana-4145	198	1	"	"	PUNCT
cana-4145	198	2	hybrid	hybrid	ADJ
cana-4145	198	3	image	image	NOUN
cana-4145	198	4	encryption	encryption	NOUN
cana-4145	198	5	using	use	VERB
cana-4145	198	6	rsa	rsa	PROPN
cana-4145	198	7	and	and	CCONJ
cana-4145	198	8	chaotic	chaotic	ADJ
cana-4145	198	9	systems	system	NOUN
cana-4145	198	10	,	,	PUNCT
cana-4145	198	11	"	"	PUNCT
cana-4145	198	12	international	international	ADJ
cana-4145	198	13	journal	journal	NOUN
cana-4145	198	14	of	of	ADP
cana-4145	198	15	computer	computer	NOUN
cana-4145	198	16	science	science	NOUN
cana-4145	198	17	and	and	CCONJ
cana-4145	198	18	applications	application	NOUN
cana-4145	198	19	2020	2020	NUM
cana-4145	198	20	.	.	PUNCT
cana-4145	199	1	17	17	NUM
cana-4145	199	2	.	.	X
cana-4145	199	3	amin	amin	PROPN
cana-4145	199	4	,	,	PUNCT
cana-4145	199	5	m.	m.	NOUN
cana-4145	199	6	,	,	PUNCT
cana-4145	199	7	faragallah	faragallah	PROPN
cana-4145	199	8	,	,	PUNCT
cana-4145	199	9	o.	o.	PROPN
cana-4145	199	10	s.	s.	PROPN
cana-4145	199	11	,	,	PUNCT
cana-4145	199	12	&	&	CCONJ
cana-4145	199	13	abd	abd	PROPN
cana-4145	199	14	el	el	PROPN
cana-4145	199	15	-	-	PROPN
cana-4145	199	16	latif	latif	PROPN
cana-4145	199	17	,	,	PUNCT
cana-4145	199	18	a.	a.	NOUN
cana-4145	199	19	a.	a.	NOUN
cana-4145	199	20	(	(	PUNCT
cana-4145	199	21	2010	2010	NUM
cana-4145	199	22	)	)	PUNCT
cana-4145	199	23	“	"	PUNCT
cana-4145	199	24	a	a	DET
cana-4145	199	25	chaotic	chaotic	ADJ
cana-4145	199	26	block	block	NOUN
cana-4145	199	27	cipher	cipher	ADJ
cana-4145	199	28	algorithm	algorithm	NOUN
cana-4145	199	29	for	for	ADP
cana-4145	199	30	image	image	NOUN
cana-4145	199	31	cryptosystems	cryptosystem	NOUN
cana-4145	199	32	.	.	PUNCT
cana-4145	200	1	communications	communication	NOUN
cana-4145	200	2	in	in	ADP
cana-4145	200	3	nonlinear	nonlinear	ADJ
cana-4145	200	4	science	science	NOUN
cana-4145	200	5	and	and	CCONJ
cana-4145	200	6	numerical	numerical	PROPN
cana-4145	200	7	simulation	simulation	NOUN
cana-4145	200	8	”	"	PUNCT
cana-4145	200	9	15	15	NUM
cana-4145	200	10	,	,	PUNCT
cana-4145	200	11	3484–3497	3484–3497	NUM
cana-4145	200	12	.	.	PUNCT
cana-4145	201	1	18	18	NUM
cana-4145	201	2	.	.	X
cana-4145	201	3	awad	awad	PROPN
cana-4145	201	4	,	,	PUNCT
cana-4145	201	5	a.	a.	PROPN
cana-4145	201	6	dan	dan	PROPN
cana-4145	201	7	saadane	saadane	PROPN
cana-4145	201	8	,	,	PUNCT
cana-4145	201	9	a.	a.	NOUN
cana-4145	201	10	“	"	PUNCT
cana-4145	201	11	new	new	ADJ
cana-4145	201	12	chaotic	chaotic	ADJ
cana-4145	201	13	permutation	permutation	NOUN
cana-4145	201	14	methods	method	NOUN
cana-4145	201	15	for	for	ADP
cana-4145	201	16	image	image	NOUN
cana-4145	201	17	encryption	encryption	NOUN
cana-4145	201	18	.	.	PUNCT
cana-4145	201	19	”	"	PUNCT
cana-4145	202	1	international	international	ADJ
cana-4145	202	2	journal	journal	NOUN
cana-4145	202	3	of	of	ADP
cana-4145	202	4	computer	computer	NOUN
cana-4145	202	5	applications	application	NOUN
cana-4145	202	6	volume	volume	VERB
cana-4145	202	7	123	123	NUM
cana-4145	202	8	number	number	NOUN
cana-4145	202	9	6	6	NUM
cana-4145	202	10	,	,	PUNCT
cana-4145	202	11	2015	2015	NUM
cana-4145	202	12	.	.	PUNCT
cana-4145	203	1	19	19	NUM
cana-4145	203	2	.	.	X
cana-4145	203	3	jakub	jakub	PROPN
cana-4145	203	4	oravec	oravec	PROPN
cana-4145	203	5	,	,	PUNCT
cana-4145	203	6	lubos	lubos	PROPN
cana-4145	203	7	ovsenik	ovsenik	PROPN
cana-4145	203	8	,	,	PUNCT
cana-4145	203	9	jan	jan	PROPN
cana-4145	203	10	papaj	papaj	PROPN
cana-4145	203	11	,	,	PUNCT
cana-4145	203	12	“	"	PUNCT
cana-4145	203	13	an	an	DET
cana-4145	203	14	image	image	NOUN
cana-4145	203	15	encryption	encryption	NOUN
cana-4145	203	16	algorithm	algorithm	NOUN
cana-4145	203	17	using	use	VERB
cana-4145	203	18	logistic	logistic	ADJ
cana-4145	203	19	map	map	NOUN
cana-4145	203	20	with	with	ADP
cana-4145	203	21	plaintext	plaintext	NOUN
cana-4145	203	22	-	-	PUNCT
cana-4145	203	23	related	relate	VERB
cana-4145	203	24	parameter	parameter	NOUN
cana-4145	203	25	values	value	NOUN
cana-4145	203	26	”	"	PUNCT
cana-4145	203	27	entropy	entropy	PROPN
cana-4145	203	28	(	(	PUNCT
cana-4145	203	29	basel	basel	PROPN
cana-4145	203	30	)	)	PUNCT
cana-4145	203	31	.	.	PUNCT
cana-4145	204	1	2021	2021	NUM
cana-4145	204	2	oct	oct	PROPN
cana-4145	204	3	20;23(11):1373	20;23(11):1373	NUM
cana-4145	204	4	.	.	PROPN
cana-4145	204	5	20	20	NUM
cana-4145	204	6	.	.	PUNCT
cana-4145	205	1	gaur	gaur	PROPN
cana-4145	205	2	,	,	PUNCT
cana-4145	205	3	e.	e.	PROPN
cana-4145	205	4	a.	a.	PROPN
cana-4145	205	5	,	,	PUNCT
cana-4145	205	6	&	&	CCONJ
cana-4145	205	7	gupta	gupta	PROPN
cana-4145	205	8	,	,	PUNCT
cana-4145	205	9	e.	e.	PROPN
cana-4145	205	10	m.	m.	PROPN
cana-4145	205	11	,	,	PUNCT
cana-4145	205	12	“	"	PUNCT
cana-4145	205	13	review	review	NOUN
cana-4145	205	14	:	:	PUNCT
cana-4145	205	15	image	image	NOUN
cana-4145	205	16	encryption	encryption	NOUN
cana-4145	205	17	using	use	VERB
cana-4145	205	18	chaos	chaos	NOUN
cana-4145	205	19	based	base	VERB
cana-4145	205	20	algorithms	algorithm	NOUN
cana-4145	205	21	”	"	PUNCT
cana-4145	205	22	,	,	PUNCT
cana-4145	205	23	international	international	ADJ
cana-4145	205	24	journal	journal	NOUN
cana-4145	205	25	of	of	ADP
cana-4145	205	26	computer	computer	NOUN
cana-4145	205	27	applications	application	NOUN
cana-4145	205	28	4(3	4(3	NUM
cana-4145	205	29	)	)	PUNCT
cana-4145	205	30	,	,	PUNCT
cana-4145	205	31	904–907	904–907	NUM
cana-4145	205	32	,	,	PUNCT
cana-4145	205	33	2014	2014	NUM
cana-4145	205	34	.	.	PUNCT
cana-4145	206	1	21	21	NUM
cana-4145	206	2	.	.	PUNCT
cana-4145	207	1	aradhana	aradhana	PROPN
cana-4145	207	2	sahoo	sahoo	PROPN
cana-4145	207	3	,	,	PUNCT
cana-4145	207	4	pratyasha	pratyasha	PROPN
cana-4145	207	5	mohanty	mohanty	PROPN
cana-4145	207	6	,	,	PUNCT
cana-4145	207	7	purna	purna	PROPN
cana-4145	207	8	chandra	chandra	PROPN
cana-4145	207	9	sethi	sethi	PROPN
cana-4145	207	10	,	,	PUNCT
cana-4145	207	11	“	"	PUNCT
cana-4145	207	12	image	image	NOUN
cana-4145	207	13	encryption	encryption	NOUN
cana-4145	207	14	using	use	VERB
cana-4145	207	15	rsa	rsa	PROPN
cana-4145	207	16	algorithm	algorithm	NOUN
cana-4145	207	17	”	"	PUNCT
cana-4145	207	18	intelligent	intelligent	ADJ
cana-4145	207	19	systems	system	NOUN
cana-4145	207	20	,	,	PUNCT
cana-4145	207	21	proceedings	proceeding	NOUN
cana-4145	207	22	of	of	ADP
cana-4145	207	23	icmib	icmib	NOUN
cana-4145	207	24	2021	2021	NUM
cana-4145	207	25	.	.	PUNCT
cana-4145	208	1	22	22	NUM
cana-4145	208	2	.	.	PUNCT
cana-4145	208	3	arabind	arabind	PROPN
cana-4145	208	4	kumar	kumar	PROPN
cana-4145	208	5	,	,	PUNCT
cana-4145	208	6	sanjay	sanjay	PROPN
cana-4145	208	7	yadav	yadav	PROPN
cana-4145	208	8	,	,	PUNCT
cana-4145	208	9	“	"	PUNCT
cana-4145	208	10	a	a	DET
cana-4145	208	11	new	new	ADJ
cana-4145	208	12	image	image	NOUN
cana-4145	208	13	encryption	encryption	NOUN
cana-4145	208	14	scheme	scheme	NOUN
cana-4145	208	15	using	use	VERB
cana-4145	208	16	rsa	rsa	NOUN
cana-4145	208	17	cryptosystem	cryptosystem	NOUN
cana-4145	208	18	and	and	CCONJ
cana-4145	208	19	arnold	arnold	PROPN
cana-4145	208	20	transformation	transformation	PROPN
cana-4145	208	21	”	"	PUNCT
cana-4145	208	22	in	in	ADP
cana-4145	208	23	advances	advance	NOUN
cana-4145	208	24	in	in	ADP
cana-4145	208	25	computational	computational	ADJ
cana-4145	208	26	intelligence	intelligence	NOUN
cana-4145	208	27	,	,	PUNCT
cana-4145	208	28	algorithms	algorithm	NOUN
cana-4145	208	29	for	for	ADP
cana-4145	208	30	intelligent	intelligent	ADJ
cana-4145	208	31	system	system	NOUN
cana-4145	208	32	,	,	PUNCT
cana-4145	208	33	2023	2023	NUM
cana-4145	208	34	,	,	PUNCT
cana-4145	208	35	pp	pp	ADJ
cana-4145	208	36	.	.	PUNCT
cana-4145	209	1	187	187	NUM
cana-4145	209	2	-	-	SYM
cana-4145	209	3	198	198	NUM
cana-4145	209	4	.	.	PUNCT
cana-4145	210	1	23	23	NUM
cana-4145	210	2	.	.	PUNCT
cana-4145	211	1	radhakrishna	radhakrishna	PROPN
cana-4145	211	2	m	m	PROPN
cana-4145	211	3	,	,	PUNCT
cana-4145	211	4	shridevi	shridevi	PROPN
cana-4145	211	5	k	k	PROPN
cana-4145	211	6	s	s	PROPN
cana-4145	211	7	,	,	PUNCT
cana-4145	211	8	sowmya	sowmya	PROPN
cana-4145	211	9	b	b	PROPN
cana-4145	211	10	s	s	PROPN
cana-4145	211	11	,	,	PUNCT
cana-4145	211	12	sushmitha	sushmitha	PROPN
cana-4145	211	13	t	t	PROPN
cana-4145	211	14	j	j	PROPN
cana-4145	211	15	,	,	PUNCT
cana-4145	211	16	“	"	PUNCT
cana-4145	211	17	digital	digital	ADJ
cana-4145	211	18	image	image	NOUN
cana-4145	211	19	encryption	encryption	NOUN
cana-4145	211	20	and	and	CCONJ
cana-4145	211	21	decryption	decryption	NOUN
cana-4145	211	22	based	base	VERB
cana-4145	211	23	on	on	ADP
cana-4145	211	24	rsa	rsa	PROPN
cana-4145	211	25	algorithm	algorithm	PROPN
cana-4145	211	26	”	"	PUNCT
cana-4145	211	27	international	international	ADJ
cana-4145	211	28	journal	journal	NOUN
cana-4145	211	29	of	of	ADP
cana-4145	211	30	scientific	scientific	ADJ
cana-4145	211	31	research	research	NOUN
cana-4145	211	32	in	in	ADP
cana-4145	211	33	science	science	NOUN
cana-4145	211	34	engineering	engineering	NOUN
cana-4145	211	35	and	and	CCONJ
cana-4145	211	36	technology	technology	NOUN
cana-4145	211	37	,	,	PUNCT
cana-4145	211	38	july	july	PROPN
cana-4145	211	39	2022	2022	NUM
cana-4145	211	40	.	.	PUNCT
cana-4145	212	1	24	24	NUM
cana-4145	212	2	.	.	PUNCT
cana-4145	212	3	shantappa	shantappa	PROPN
cana-4145	212	4	g	g	PROPN
cana-4145	212	5	gollagi	gollagi	NOUN
cana-4145	212	6	,	,	PUNCT
cana-4145	212	7	r	r	NOUN
cana-4145	212	8	srividya	srividya	NOUN
cana-4145	212	9	,	,	PUNCT
cana-4145	212	10	g	g	PROPN
cana-4145	212	11	santhosh	santhosh	PROPN
cana-4145	212	12	kumar	kumar	PROPN
cana-4145	212	13	,	,	PUNCT
cana-4145	212	14	piyush	piyush	PROPN
cana-4145	212	15	kumar	kumar	PROPN
cana-4145	212	16	pareek	pareek	PROPN
cana-4145	212	17	,	,	PUNCT
cana-4145	212	18	“	"	PUNCT
cana-4145	212	19	a	a	DET
cana-4145	212	20	new	new	ADJ
cana-4145	212	21	method	method	NOUN
cana-4145	212	22	of	of	ADP
cana-4145	212	23	secure	secure	ADJ
cana-4145	212	24	image	image	NOUN
cana-4145	212	25	encryption	encryption	NOUN
cana-4145	212	26	by	by	ADP
cana-4145	212	27	using	use	VERB
cana-4145	212	28	enhanced	enhanced	ADJ
cana-4145	212	29	rsa	rsa	PROPN
cana-4145	212	30	algorithm	algorithm	NOUN
cana-4145	212	31	”	"	PUNCT
cana-4145	212	32	international	international	ADJ
cana-4145	212	33	conference	conference	NOUN
cana-4145	212	34	on	on	ADP
cana-4145	212	35	forensics	forensic	NOUN
cana-4145	212	36	,	,	PUNCT
cana-4145	212	37	analytics	analytic	NOUN
cana-4145	212	38	,	,	PUNCT
cana-4145	212	39	big	big	ADJ
cana-4145	212	40	data	datum	NOUN
cana-4145	212	41	,	,	PUNCT
cana-4145	212	42	security	security	NOUN
cana-4145	212	43	(	(	PUNCT
cana-4145	212	44	fabs	fab	NOUN
cana-4145	212	45	)	)	PUNCT
cana-4145	212	46	,	,	PUNCT
cana-4145	212	47	2021	2021	NUM
cana-4145	212	48	.	.	PUNCT
cana-4145	213	1	25	25	NUM
cana-4145	213	2	.	.	PUNCT
cana-4145	213	3	yujia	yujia	PROPN
cana-4145	213	4	liu	liu	PROPN
cana-4145	213	5	,	,	PUNCT
cana-4145	213	6	zhaoguo	zhaoguo	PROPN
cana-4145	213	7	jiang	jiang	PROPN
cana-4145	213	8	,	,	PUNCT
cana-4145	213	9	xiping	xiping	PROPN
cana-4145	213	10	xu	xu	PROPN
cana-4145	213	11	,	,	PUNCT
cana-4145	213	12	fuqi	fuqi	PROPN
cana-4145	213	13	zhang	zhang	PROPN
cana-4145	213	14	,	,	PUNCT
cana-4145	213	15	jiahong	jiahong	PROPN
cana-4145	213	16	xu	xu	INTJ
cana-4145	213	17	,	,	PUNCT
cana-4145	213	18	“	"	PUNCT
cana-4145	213	19	optical	optical	ADJ
cana-4145	213	20	image	image	NOUN
cana-4145	213	21	encryption	encryption	NOUN
cana-4145	213	22	algorithm	algorithm	NOUN
cana-4145	213	23	based	base	VERB
cana-4145	213	24	on	on	ADP
cana-4145	213	25	hyper	hyper	NOUN
cana-4145	213	26	-	-	NOUN
cana-4145	213	27	chaos	chaos	NOUN
cana-4145	213	28	and	and	CCONJ
cana-4145	213	29	public	public	ADJ
cana-4145	213	30	-	-	PUNCT
cana-4145	213	31	key	key	NOUN
cana-4145	213	32	cryptography	cryptography	NOUN
cana-4145	213	33	”	"	PUNCT
cana-4145	213	34	optics	optic	NOUN
cana-4145	213	35	and	and	CCONJ
cana-4145	213	36	laser	laser	NOUN
cana-4145	213	37	technology	technology	NOUN
cana-4145	213	38	127	127	NUM
cana-4145	213	39	(	(	PUNCT
cana-4145	213	40	2020	2020	NUM
cana-4145	213	41	)	)	PUNCT
cana-4145	213	42	106171	106171	NUM
cana-4145	213	43	.	.	PUNCT
cana-4145	214	1	26	26	NUM
cana-4145	214	2	.	.	X
cana-4145	215	1	zhang	zhang	PROPN
cana-4145	215	2	,	,	PUNCT
cana-4145	215	3	y.	y.	PROPN
cana-4145	215	4	,	,	PUNCT
cana-4145	215	5	et	et	PROPN
cana-4145	215	6	al	al	PROPN
cana-4145	215	7	.	.	PUNCT
cana-4145	215	8	(	(	PUNCT
cana-4145	215	9	2017	2017	NUM
cana-4145	215	10	)	)	PUNCT
cana-4145	215	11	.	.	PUNCT
cana-4145	216	1	"	"	PUNCT
cana-4145	216	2	a	a	DET
cana-4145	216	3	hybrid	hybrid	ADJ
cana-4145	216	4	image	image	NOUN
cana-4145	216	5	encryption	encryption	NOUN
cana-4145	216	6	algorithm	algorithm	NOUN
cana-4145	216	7	using	use	VERB
cana-4145	216	8	rsa	rsa	PROPN
cana-4145	216	9	and	and	CCONJ
cana-4145	216	10	chaotic	chaotic	ADJ
cana-4145	216	11	systems	system	NOUN
cana-4145	216	12	,	,	PUNCT
cana-4145	216	13	"	"	PUNCT
cana-4145	216	14	security	security	NOUN
cana-4145	216	15	and	and	CCONJ
cana-4145	216	16	privacy	privacy	NOUN
cana-4145	216	17	.	.	PUNCT