id	sid	tid	token	lemma	pos
american_scientific_journal-2100	1	1	270	270	NUM
american_scientific_journal-2100	1	2	american	american	ADJ
american_scientific_journal-2100	1	3	scientific	scientific	ADJ
american_scientific_journal-2100	1	4	research	research	NOUN
american_scientific_journal-2100	1	5	journal	journal	NOUN
american_scientific_journal-2100	1	6	for	for	ADP
american_scientific_journal-2100	1	7	engineering	engineering	NOUN
american_scientific_journal-2100	1	8	,	,	PUNCT
american_scientific_journal-2100	1	9	technology	technology	NOUN
american_scientific_journal-2100	1	10	,	,	PUNCT
american_scientific_journal-2100	1	11	and	and	CCONJ
american_scientific_journal-2100	1	12	sciences	science	NOUN
american_scientific_journal-2100	1	13	(	(	PUNCT
american_scientific_journal-2100	1	14	asrjets	asrjet	NOUN
american_scientific_journal-2100	1	15	)	)	PUNCT
american_scientific_journal-2100	1	16	issn	issn	PROPN
american_scientific_journal-2100	1	17	(	(	PUNCT
american_scientific_journal-2100	1	18	print	print	NOUN
american_scientific_journal-2100	1	19	)	)	PUNCT
american_scientific_journal-2100	1	20	2313	2313	NUM
american_scientific_journal-2100	1	21	-	-	SYM
american_scientific_journal-2100	1	22	4410	4410	NUM
american_scientific_journal-2100	1	23	,	,	PUNCT
american_scientific_journal-2100	1	24	issn	issn	PROPN
american_scientific_journal-2100	1	25	(	(	PUNCT
american_scientific_journal-2100	1	26	online	online	ADJ
american_scientific_journal-2100	1	27	)	)	PUNCT
american_scientific_journal-2100	1	28	2313	2313	NUM
american_scientific_journal-2100	1	29	-	-	SYM
american_scientific_journal-2100	1	30	4402	4402	NUM
american_scientific_journal-2100	1	31	©	©	PROPN
american_scientific_journal-2100	1	32	global	global	ADJ
american_scientific_journal-2100	1	33	society	society	NOUN
american_scientific_journal-2100	1	34	of	of	ADP
american_scientific_journal-2100	1	35	scientific	scientific	ADJ
american_scientific_journal-2100	1	36	research	research	NOUN
american_scientific_journal-2100	1	37	and	and	CCONJ
american_scientific_journal-2100	1	38	researchers	researcher	NOUN
american_scientific_journal-2100	1	39	http://asrjetsjournal.org/	http://asrjetsjournal.org/	VERB
american_scientific_journal-2100	1	40	a	a	DET
american_scientific_journal-2100	1	41	new	new	ADJ
american_scientific_journal-2100	1	42	modification	modification	NOUN
american_scientific_journal-2100	1	43	of	of	ADP
american_scientific_journal-2100	1	44	rsa	rsa	PROPN
american_scientific_journal-2100	1	45	cryptosystem	cryptosystem	NOUN
american_scientific_journal-2100	1	46	based	base	VERB
american_scientific_journal-2100	1	47	on	on	ADP
american_scientific_journal-2100	1	48	the	the	DET
american_scientific_journal-2100	1	49	number	number	NOUN
american_scientific_journal-2100	1	50	of	of	ADP
american_scientific_journal-2100	1	51	the	the	DET
american_scientific_journal-2100	1	52	private	private	ADJ
american_scientific_journal-2100	1	53	keys	key	NOUN
american_scientific_journal-2100	1	54	hayder	hayder	VERB
american_scientific_journal-2100	1	55	raheem	raheem	PROPN
american_scientific_journal-2100	2	1	hashim	hashim	PROPN
american_scientific_journal-2100	2	2	*	*	PUNCT
american_scientific_journal-2100	2	3	department	department	PROPN
american_scientific_journal-2100	2	4	of	of	ADP
american_scientific_journal-2100	2	5	mathematics	mathematic	NOUN
american_scientific_journal-2100	2	6	,	,	PUNCT
american_scientific_journal-2100	2	7	faculty	faculty	NOUN
american_scientific_journal-2100	2	8	of	of	ADP
american_scientific_journal-2100	2	9	computer	computer	NOUN
american_scientific_journal-2100	2	10	science	science	NOUN
american_scientific_journal-2100	2	11	and	and	CCONJ
american_scientific_journal-2100	2	12	mathematics	mathematic	NOUN
american_scientific_journal-2100	2	13	,	,	PUNCT
american_scientific_journal-2100	2	14	university	university	PROPN
american_scientific_journal-2100	2	15	of	of	ADP
american_scientific_journal-2100	2	16	kufa	kufa	PROPN
american_scientific_journal-2100	2	17	,	,	PUNCT
american_scientific_journal-2100	2	18	najaf	najaf	PROPN
american_scientific_journal-2100	2	19	,	,	PUNCT
american_scientific_journal-2100	2	20	iraq	iraq	PROPN
american_scientific_journal-2100	2	21	email	email	NOUN
american_scientific_journal-2100	2	22	:	:	PUNCT
american_scientific_journal-2100	3	1	hayderr.almuswi@uokufa.edu.iq	hayderr.almuswi@uokufa.edu.iq	PROPN
american_scientific_journal-2100	3	2	abstract	abstract	ADJ
american_scientific_journal-2100	3	3	the	the	DET
american_scientific_journal-2100	3	4	need	need	NOUN
american_scientific_journal-2100	3	5	of	of	ADP
american_scientific_journal-2100	3	6	the	the	DET
american_scientific_journal-2100	3	7	privacy	privacy	NOUN
american_scientific_journal-2100	3	8	for	for	ADP
american_scientific_journal-2100	3	9	each	each	DET
american_scientific_journal-2100	3	10	person	person	NOUN
american_scientific_journal-2100	3	11	has	have	AUX
american_scientific_journal-2100	3	12	encouraged	encourage	VERB
american_scientific_journal-2100	3	13	cryptologists	cryptologist	NOUN
american_scientific_journal-2100	3	14	to	to	PART
american_scientific_journal-2100	3	15	create	create	VERB
american_scientific_journal-2100	3	16	and	and	CCONJ
american_scientific_journal-2100	3	17	modified	modified	ADJ
american_scientific_journal-2100	3	18	cryptosystems	cryptosystem	NOUN
american_scientific_journal-2100	3	19	.	.	PUNCT
american_scientific_journal-2100	4	1	however	however	ADV
american_scientific_journal-2100	4	2	,	,	PUNCT
american_scientific_journal-2100	4	3	the	the	DET
american_scientific_journal-2100	4	4	rsa	rsa	PROPN
american_scientific_journal-2100	4	5	cryptosystem	cryptosystem	NOUN
american_scientific_journal-2100	4	6	is	be	AUX
american_scientific_journal-2100	4	7	a	a	DET
american_scientific_journal-2100	4	8	secure	secure	ADJ
american_scientific_journal-2100	4	9	public	public	ADJ
american_scientific_journal-2100	4	10	key	key	ADJ
american_scientific_journal-2100	4	11	cryptosystem	cryptosystem	NOUN
american_scientific_journal-2100	4	12	,	,	PUNCT
american_scientific_journal-2100	4	13	this	this	DET
american_scientific_journal-2100	4	14	paper	paper	NOUN
american_scientific_journal-2100	4	15	focuses	focus	VERB
american_scientific_journal-2100	4	16	on	on	ADP
american_scientific_journal-2100	4	17	modifying	modify	VERB
american_scientific_journal-2100	4	18	rsa	rsa	NOUN
american_scientific_journal-2100	4	19	cryptosystem	cryptosystem	NOUN
american_scientific_journal-2100	4	20	by	by	ADP
american_scientific_journal-2100	4	21	increasing	increase	VERB
american_scientific_journal-2100	4	22	the	the	DET
american_scientific_journal-2100	4	23	number	number	NOUN
american_scientific_journal-2100	4	24	of	of	ADP
american_scientific_journal-2100	4	25	private	private	ADJ
american_scientific_journal-2100	4	26	keys	key	NOUN
american_scientific_journal-2100	4	27	.	.	PUNCT
american_scientific_journal-2100	5	1	this	this	DET
american_scientific_journal-2100	5	2	modification	modification	NOUN
american_scientific_journal-2100	5	3	can	can	AUX
american_scientific_journal-2100	5	4	be	be	AUX
american_scientific_journal-2100	5	5	applied	apply	VERB
american_scientific_journal-2100	5	6	over	over	ADP
american_scientific_journal-2100	5	7	plaintext	plaintext	NOUN
american_scientific_journal-2100	5	8	messages	message	NOUN
american_scientific_journal-2100	5	9	,	,	PUNCT
american_scientific_journal-2100	5	10	plain	plain	ADJ
american_scientific_journal-2100	5	11	matrices	matrix	NOUN
american_scientific_journal-2100	5	12	,	,	PUNCT
american_scientific_journal-2100	5	13	however	however	ADV
american_scientific_journal-2100	5	14	in	in	ADP
american_scientific_journal-2100	5	15	this	this	DET
american_scientific_journal-2100	5	16	paper	paper	NOUN
american_scientific_journal-2100	5	17	,	,	PUNCT
american_scientific_journal-2100	5	18	i	i	PRON
american_scientific_journal-2100	5	19	focuse	focuse	NOUN
american_scientific_journal-2100	5	20	on	on	ADP
american_scientific_journal-2100	5	21	applying	apply	VERB
american_scientific_journal-2100	5	22	it	it	PRON
american_scientific_journal-2100	5	23	particulary	particulary	ADJ
american_scientific_journal-2100	5	24	on	on	ADP
american_scientific_journal-2100	5	25	matrices	matrix	NOUN
american_scientific_journal-2100	5	26	which	which	PRON
american_scientific_journal-2100	5	27	are	be	AUX
american_scientific_journal-2100	5	28	the	the	DET
american_scientific_journal-2100	5	29	corresponding	corresponding	ADJ
american_scientific_journal-2100	5	30	matrices	matrix	NOUN
american_scientific_journal-2100	5	31	of	of	ADP
american_scientific_journal-2100	5	32	images	image	NOUN
american_scientific_journal-2100	5	33	.	.	PUNCT
american_scientific_journal-2100	6	1	a	a	DET
american_scientific_journal-2100	6	2	public	public	ADJ
american_scientific_journal-2100	6	3	key	key	ADJ
american_scientific_journal-2100	6	4	and	and	CCONJ
american_scientific_journal-2100	6	5	private	private	ADJ
american_scientific_journal-2100	6	6	key	key	NOUN
american_scientific_journal-2100	6	7	are	be	AUX
american_scientific_journal-2100	6	8	contained	contain	VERB
american_scientific_journal-2100	6	9	in	in	ADP
american_scientific_journal-2100	6	10	this	this	DET
american_scientific_journal-2100	6	11	secure	secure	ADJ
american_scientific_journal-2100	6	12	cryptosystem	cryptosystem	NOUN
american_scientific_journal-2100	6	13	,	,	PUNCT
american_scientific_journal-2100	6	14	and	and	CCONJ
american_scientific_journal-2100	6	15	the	the	DET
american_scientific_journal-2100	6	16	security	security	NOUN
american_scientific_journal-2100	6	17	of	of	ADP
american_scientific_journal-2100	6	18	its	its	PRON
american_scientific_journal-2100	6	19	private	private	ADJ
american_scientific_journal-2100	6	20	key	key	NOUN
american_scientific_journal-2100	6	21	depends	depend	VERB
american_scientific_journal-2100	6	22	on	on	ADP
american_scientific_journal-2100	6	23	the	the	DET
american_scientific_journal-2100	6	24	integer	integer	NOUN
american_scientific_journal-2100	6	25	factorization	factorization	NOUN
american_scientific_journal-2100	6	26	problem	problem	NOUN
american_scientific_journal-2100	6	27	.	.	PUNCT
american_scientific_journal-2100	7	1	but	but	CCONJ
american_scientific_journal-2100	7	2	,	,	PUNCT
american_scientific_journal-2100	7	3	this	this	DET
american_scientific_journal-2100	7	4	only	only	ADJ
american_scientific_journal-2100	7	5	private	private	ADJ
american_scientific_journal-2100	7	6	key	key	NOUN
american_scientific_journal-2100	7	7	might	might	AUX
american_scientific_journal-2100	7	8	be	be	AUX
american_scientific_journal-2100	7	9	found	find	VERB
american_scientific_journal-2100	7	10	by	by	ADP
american_scientific_journal-2100	7	11	inspection	inspection	NOUN
american_scientific_journal-2100	7	12	.	.	PUNCT
american_scientific_journal-2100	8	1	therefore	therefore	ADV
american_scientific_journal-2100	8	2	,	,	PUNCT
american_scientific_journal-2100	8	3	this	this	DET
american_scientific_journal-2100	8	4	new	new	ADJ
american_scientific_journal-2100	8	5	modification	modification	NOUN
american_scientific_journal-2100	8	6	gives	give	VERB
american_scientific_journal-2100	8	7	the	the	DET
american_scientific_journal-2100	8	8	rsa	rsa	PROPN
american_scientific_journal-2100	8	9	cryptosystem	cryptosystem	NOUN
american_scientific_journal-2100	8	10	a	a	DET
american_scientific_journal-2100	8	11	higher	high	ADJ
american_scientific_journal-2100	8	12	security	security	NOUN
american_scientific_journal-2100	8	13	,	,	PUNCT
american_scientific_journal-2100	8	14	because	because	SCONJ
american_scientific_journal-2100	8	15	it	it	PRON
american_scientific_journal-2100	8	16	suggests	suggest	VERB
american_scientific_journal-2100	8	17	a	a	DET
american_scientific_journal-2100	8	18	"	"	PUNCT
american_scientific_journal-2100	8	19	k	k	NOUN
american_scientific_journal-2100	8	20	"	"	PUNCT
american_scientific_journal-2100	8	21	number	number	NOUN
american_scientific_journal-2100	8	22	of	of	ADP
american_scientific_journal-2100	8	23	distinct	distinct	ADJ
american_scientific_journal-2100	8	24	private	private	ADJ
american_scientific_journal-2100	8	25	keys	key	NOUN
american_scientific_journal-2100	8	26	.	.	PUNCT
american_scientific_journal-2100	9	1	therefore	therefore	ADV
american_scientific_journal-2100	9	2	,	,	PUNCT
american_scientific_journal-2100	9	3	this	this	DET
american_scientific_journal-2100	9	4	new	new	ADJ
american_scientific_journal-2100	9	5	modification	modification	NOUN
american_scientific_journal-2100	9	6	makes	make	VERB
american_scientific_journal-2100	9	7	the	the	DET
american_scientific_journal-2100	9	8	rsa	rsa	PROPN
american_scientific_journal-2100	9	9	cryptosystem	cryptosystem	VERB
american_scientific_journal-2100	9	10	more	more	ADV
american_scientific_journal-2100	9	11	secure	secure	ADJ
american_scientific_journal-2100	9	12	and	and	CCONJ
american_scientific_journal-2100	9	13	a	a	DET
american_scientific_journal-2100	9	14	confidential	confidential	ADJ
american_scientific_journal-2100	9	15	public	public	ADJ
american_scientific_journal-2100	9	16	key	key	ADJ
american_scientific_journal-2100	9	17	cryptosystem	cryptosystem	NOUN
american_scientific_journal-2100	9	18	.	.	PUNCT
american_scientific_journal-2100	10	1	keywords	keyword	NOUN
american_scientific_journal-2100	10	2	:	:	PUNCT
american_scientific_journal-2100	10	3	cryptography	cryptography	NOUN
american_scientific_journal-2100	10	4	;	;	PUNCT
american_scientific_journal-2100	10	5	public	public	ADJ
american_scientific_journal-2100	10	6	key	key	ADJ
american_scientific_journal-2100	10	7	cryptosystem	cryptosystem	NOUN
american_scientific_journal-2100	10	8	;	;	PUNCT
american_scientific_journal-2100	10	9	rsa	rsa	NOUN
american_scientific_journal-2100	10	10	cryptosystem	cryptosystem	NOUN
american_scientific_journal-2100	10	11	.	.	PUNCT
american_scientific_journal-2100	11	1	1	1	X
american_scientific_journal-2100	11	2	.	.	X
american_scientific_journal-2100	11	3	introduction	introduction	NOUN
american_scientific_journal-2100	11	4	the	the	DET
american_scientific_journal-2100	11	5	area	area	NOUN
american_scientific_journal-2100	11	6	of	of	ADP
american_scientific_journal-2100	11	7	number	number	NOUN
american_scientific_journal-2100	11	8	theory	theory	NOUN
american_scientific_journal-2100	11	9	is	be	AUX
american_scientific_journal-2100	11	10	one	one	NUM
american_scientific_journal-2100	11	11	of	of	ADP
american_scientific_journal-2100	11	12	the	the	DET
american_scientific_journal-2100	11	13	pure	pure	ADJ
american_scientific_journal-2100	11	14	branches	branch	NOUN
american_scientific_journal-2100	11	15	of	of	ADP
american_scientific_journal-2100	11	16	mathematics	mathematic	NOUN
american_scientific_journal-2100	11	17	that	that	PRON
american_scientific_journal-2100	11	18	has	have	VERB
american_scientific_journal-2100	11	19	many	many	ADJ
american_scientific_journal-2100	11	20	applications	application	NOUN
american_scientific_journal-2100	11	21	in	in	ADP
american_scientific_journal-2100	11	22	information	information	NOUN
american_scientific_journal-2100	11	23	security	security	NOUN
american_scientific_journal-2100	11	24	such	such	ADJ
american_scientific_journal-2100	11	25	as	as	ADP
american_scientific_journal-2100	11	26	cryptography	cryptography	NOUN
american_scientific_journal-2100	11	27	.	.	PUNCT
american_scientific_journal-2100	12	1	since	since	SCONJ
american_scientific_journal-2100	12	2	long	long	ADJ
american_scientific_journal-2100	12	3	eras	era	NOUN
american_scientific_journal-2100	12	4	,	,	PUNCT
american_scientific_journal-2100	12	5	many	many	ADJ
american_scientific_journal-2100	12	6	uses	use	NOUN
american_scientific_journal-2100	12	7	of	of	ADP
american_scientific_journal-2100	12	8	cryptography	cryptography	NOUN
american_scientific_journal-2100	12	9	has	have	AUX
american_scientific_journal-2100	12	10	occurred	occur	VERB
american_scientific_journal-2100	12	11	such	such	ADJ
american_scientific_journal-2100	12	12	as	as	ADP
american_scientific_journal-2100	12	13	hiding	hide	VERB
american_scientific_journal-2100	12	14	messages	message	NOUN
american_scientific_journal-2100	12	15	and	and	CCONJ
american_scientific_journal-2100	12	16	data	datum	NOUN
american_scientific_journal-2100	12	17	that	that	PRON
american_scientific_journal-2100	12	18	being	be	AUX
american_scientific_journal-2100	12	19	sent	send	VERB
american_scientific_journal-2100	12	20	between	between	ADP
american_scientific_journal-2100	12	21	two	two	NUM
american_scientific_journal-2100	12	22	different	different	ADJ
american_scientific_journal-2100	12	23	parties	party	NOUN
american_scientific_journal-2100	12	24	[	[	X
american_scientific_journal-2100	12	25	10	10	NUM
american_scientific_journal-2100	12	26	]	]	PUNCT
american_scientific_journal-2100	12	27	.	.	PUNCT
american_scientific_journal-2100	13	1	traditionally	traditionally	ADV
american_scientific_journal-2100	13	2	,	,	PUNCT
american_scientific_journal-2100	13	3	there	there	PRON
american_scientific_journal-2100	13	4	are	be	VERB
american_scientific_journal-2100	13	5	two	two	NUM
american_scientific_journal-2100	13	6	wellknown	wellknown	ADJ
american_scientific_journal-2100	13	7	types	type	NOUN
american_scientific_journal-2100	13	8	of	of	ADP
american_scientific_journal-2100	13	9	cryptography	cryptography	NOUN
american_scientific_journal-2100	13	10	,	,	PUNCT
american_scientific_journal-2100	13	11	which	which	PRON
american_scientific_journal-2100	13	12	are	be	AUX
american_scientific_journal-2100	13	13	symmetric	symmetric	ADJ
american_scientific_journal-2100	13	14	cryptography	cryptography	NOUN
american_scientific_journal-2100	13	15	and	and	CCONJ
american_scientific_journal-2100	13	16	asymmetric	asymmetric	ADJ
american_scientific_journal-2100	13	17	cryptography	cryptography	NOUN
american_scientific_journal-2100	13	18	.	.	PUNCT
american_scientific_journal-2100	14	1	when	when	SCONJ
american_scientific_journal-2100	14	2	the	the	DET
american_scientific_journal-2100	14	3	same	same	ADJ
american_scientific_journal-2100	14	4	key	key	NOUN
american_scientific_journal-2100	14	5	being	being	AUX
american_scientific_journal-2100	14	6	used	use	VERB
american_scientific_journal-2100	14	7	in	in	ADP
american_scientific_journal-2100	14	8	the	the	DET
american_scientific_journal-2100	14	9	encryption	encryption	NOUN
american_scientific_journal-2100	14	10	and	and	CCONJ
american_scientific_journal-2100	14	11	decryption	decryption	NOUN
american_scientific_journal-2100	14	12	procedures	procedure	NOUN
american_scientific_journal-2100	14	13	,	,	PUNCT
american_scientific_journal-2100	14	14	this	this	DET
american_scientific_journal-2100	14	15	cryptosystem	cryptosystem	NOUN
american_scientific_journal-2100	14	16	called	call	VERB
american_scientific_journal-2100	14	17	symmetric	symmetric	ADJ
american_scientific_journal-2100	14	18	cryptosystem	cryptosystem	NOUN
american_scientific_journal-2100	14	19	[	[	X
american_scientific_journal-2100	14	20	10	10	NUM
american_scientific_journal-2100	14	21	]	]	PUNCT
american_scientific_journal-2100	14	22	.	.	PUNCT
american_scientific_journal-2100	15	1	however	however	ADV
american_scientific_journal-2100	15	2	,	,	PUNCT
american_scientific_journal-2100	15	3	in	in	ADP
american_scientific_journal-2100	15	4	the	the	DET
american_scientific_journal-2100	15	5	asymmetric	asymmetric	ADJ
american_scientific_journal-2100	15	6	cryptosystem	cryptosystem	NOUN
american_scientific_journal-2100	15	7	two	two	NUM
american_scientific_journal-2100	15	8	different	different	ADJ
american_scientific_journal-2100	15	9	keys	key	NOUN
american_scientific_journal-2100	15	10	are	be	AUX
american_scientific_journal-2100	15	11	used	use	VERB
american_scientific_journal-2100	15	12	in	in	ADP
american_scientific_journal-2100	15	13	these	these	DET
american_scientific_journal-2100	15	14	procedures	procedure	NOUN
american_scientific_journal-2100	15	15	;	;	PUNCT
american_scientific_journal-2100	15	16	the	the	DET
american_scientific_journal-2100	15	17	public	public	ADJ
american_scientific_journal-2100	15	18	key	key	NOUN
american_scientific_journal-2100	15	19	should	should	AUX
american_scientific_journal-2100	15	20	be	be	AUX
american_scientific_journal-2100	15	21	announced	announce	VERB
american_scientific_journal-2100	15	22	to	to	ADP
american_scientific_journal-2100	15	23	everyone	everyone	PRON
american_scientific_journal-2100	15	24	and	and	CCONJ
american_scientific_journal-2100	15	25	the	the	DET
american_scientific_journal-2100	15	26	corresponding	corresponding	ADJ
american_scientific_journal-2100	15	27	private	private	ADJ
american_scientific_journal-2100	15	28	key	key	NOUN
american_scientific_journal-2100	15	29	has	have	VERB
american_scientific_journal-2100	15	30	to	to	PART
american_scientific_journal-2100	15	31	be	be	AUX
american_scientific_journal-2100	15	32	secret	secret	ADJ
american_scientific_journal-2100	15	33	.	.	PUNCT
american_scientific_journal-2100	16	1	there	there	PRON
american_scientific_journal-2100	16	2	are	be	VERB
american_scientific_journal-2100	16	3	many	many	ADJ
american_scientific_journal-2100	16	4	models	model	NOUN
american_scientific_journal-2100	16	5	of	of	ADP
american_scientific_journal-2100	16	6	the	the	DET
american_scientific_journal-2100	16	7	symmetric	symmetric	ADJ
american_scientific_journal-2100	16	8	and	and	CCONJ
american_scientific_journal-2100	16	9	asymmetric	asymmetric	ADJ
american_scientific_journal-2100	16	10	cryptosystems	cryptosystem	NOUN
american_scientific_journal-2100	17	1	[	[	X
american_scientific_journal-2100	17	2	2	2	NUM
american_scientific_journal-2100	17	3	]	]	PUNCT
american_scientific_journal-2100	17	4	.	.	PUNCT
american_scientific_journal-2100	18	1	-----------------------------------------------------------------------	-----------------------------------------------------------------------	PUNCT
american_scientific_journal-2100	19	1	*	*	PUNCT
american_scientific_journal-2100	19	2	corresponding	correspond	VERB
american_scientific_journal-2100	19	3	author	author	NOUN
american_scientific_journal-2100	19	4	.	.	PUNCT
american_scientific_journal-2100	20	1	http://asrjetsjournal.org/	http://asrjetsjournal.org/	PROPN
american_scientific_journal-2100	20	2	mailto:hayderr.almuswi@uokufa.edu.iq	mailto:hayderr.almuswi@uokufa.edu.iq	PROPN
american_scientific_journal-2100	20	3	american	american	ADJ
american_scientific_journal-2100	20	4	scientific	scientific	ADJ
american_scientific_journal-2100	20	5	research	research	NOUN
american_scientific_journal-2100	20	6	journal	journal	NOUN
american_scientific_journal-2100	20	7	for	for	ADP
american_scientific_journal-2100	20	8	engineering	engineering	NOUN
american_scientific_journal-2100	20	9	,	,	PUNCT
american_scientific_journal-2100	20	10	technology	technology	NOUN
american_scientific_journal-2100	20	11	,	,	PUNCT
american_scientific_journal-2100	20	12	and	and	CCONJ
american_scientific_journal-2100	20	13	sciences	science	NOUN
american_scientific_journal-2100	20	14	(	(	PUNCT
american_scientific_journal-2100	20	15	asrjets	asrjet	NOUN
american_scientific_journal-2100	20	16	)	)	PUNCT
american_scientific_journal-2100	20	17	(	(	PUNCT
american_scientific_journal-2100	20	18	2016	2016	NUM
american_scientific_journal-2100	20	19	)	)	PUNCT
american_scientific_journal-2100	20	20	volume	volume	NOUN
american_scientific_journal-2100	20	21	24	24	NUM
american_scientific_journal-2100	20	22	,	,	PUNCT
american_scientific_journal-2100	20	23	no	no	DET
american_scientific_journal-2100	20	24	1	1	NUM
american_scientific_journal-2100	20	25	,	,	PUNCT
american_scientific_journal-2100	20	26	pp	pp	ADV
american_scientific_journal-2100	20	27	270	270	NUM
american_scientific_journal-2100	20	28	-	-	SYM
american_scientific_journal-2100	20	29	279	279	NUM
american_scientific_journal-2100	20	30	271	271	NUM
american_scientific_journal-2100	20	31	substitution	substitution	NOUN
american_scientific_journal-2100	20	32	cipher	cipher	ADJ
american_scientific_journal-2100	20	33	,	,	PUNCT
american_scientific_journal-2100	20	34	hill	hill	NOUN
american_scientific_journal-2100	20	35	cipher	cipher	PROPN
american_scientific_journal-2100	20	36	,	,	PUNCT
american_scientific_journal-2100	20	37	caesar	caesar	PROPN
american_scientific_journal-2100	20	38	cipher	cipher	ADJ
american_scientific_journal-2100	20	39	,	,	PUNCT
american_scientific_journal-2100	20	40	vigenere	vigenere	ADV
american_scientific_journal-2100	20	41	cipher	cipher	ADJ
american_scientific_journal-2100	20	42	,	,	PUNCT
american_scientific_journal-2100	20	43	affine	affine	VERB
american_scientific_journal-2100	20	44	cipher	cipher	ADJ
american_scientific_journal-2100	20	45	,	,	PUNCT
american_scientific_journal-2100	20	46	block	block	VERB
american_scientific_journal-2100	20	47	cipher	cipher	ADJ
american_scientific_journal-2100	20	48	are	be	AUX
american_scientific_journal-2100	20	49	examples	example	NOUN
american_scientific_journal-2100	20	50	of	of	ADP
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american_scientific_journal-2100	20	52	symmetric	symmetric	ADJ
american_scientific_journal-2100	20	53	cryptography	cryptography	NOUN
american_scientific_journal-2100	20	54	,	,	PUNCT
american_scientific_journal-2100	20	55	whereas	whereas	SCONJ
american_scientific_journal-2100	20	56	elgamal	elgamal	ADJ
american_scientific_journal-2100	20	57	,	,	PUNCT
american_scientific_journal-2100	20	58	diffie	diffie	PROPN
american_scientific_journal-2100	20	59	–	–	PUNCT
american_scientific_journal-2100	20	60	hellman	hellman	PROPN
american_scientific_journal-2100	20	61	key	key	PROPN
american_scientific_journal-2100	20	62	exchange	exchange	PROPN
american_scientific_journal-2100	20	63	,	,	PUNCT
american_scientific_journal-2100	20	64	rsa	rsa	PROPN
american_scientific_journal-2100	20	65	,	,	PUNCT
american_scientific_journal-2100	20	66	rabin	rabin	PROPN
american_scientific_journal-2100	20	67	are	be	AUX
american_scientific_journal-2100	20	68	associated	associate	VERB
american_scientific_journal-2100	20	69	with	with	ADP
american_scientific_journal-2100	20	70	the	the	DET
american_scientific_journal-2100	20	71	latter	latter	ADJ
american_scientific_journal-2100	20	72	cryptography	cryptography	NOUN
american_scientific_journal-2100	20	73	.	.	PUNCT
american_scientific_journal-2100	21	1	however	however	ADV
american_scientific_journal-2100	21	2	,	,	PUNCT
american_scientific_journal-2100	21	3	the	the	DET
american_scientific_journal-2100	21	4	security	security	NOUN
american_scientific_journal-2100	21	5	of	of	ADP
american_scientific_journal-2100	21	6	rsa	rsa	PROPN
american_scientific_journal-2100	21	7	cryptosystem	cryptosystem	NOUN
american_scientific_journal-2100	21	8	is	be	AUX
american_scientific_journal-2100	21	9	relied	rely	VERB
american_scientific_journal-2100	21	10	on	on	ADP
american_scientific_journal-2100	21	11	the	the	DET
american_scientific_journal-2100	21	12	prime	prime	ADJ
american_scientific_journal-2100	21	13	factorization	factorization	NOUN
american_scientific_journal-2100	21	14	conjecture	conjecture	NOUN
american_scientific_journal-2100	21	15	,	,	PUNCT
american_scientific_journal-2100	21	16	a	a	DET
american_scientific_journal-2100	21	17	new	new	ADJ
american_scientific_journal-2100	21	18	modification	modification	NOUN
american_scientific_journal-2100	21	19	of	of	ADP
american_scientific_journal-2100	21	20	the	the	DET
american_scientific_journal-2100	21	21	rsa	rsa	PROPN
american_scientific_journal-2100	21	22	cryptosystem	cryptosystem	NOUN
american_scientific_journal-2100	21	23	is	be	AUX
american_scientific_journal-2100	21	24	presented	present	VERB
american_scientific_journal-2100	21	25	in	in	ADP
american_scientific_journal-2100	21	26	details	detail	NOUN
american_scientific_journal-2100	21	27	in	in	ADP
american_scientific_journal-2100	21	28	this	this	DET
american_scientific_journal-2100	21	29	article	article	NOUN
american_scientific_journal-2100	21	30	to	to	PART
american_scientific_journal-2100	21	31	give	give	VERB
american_scientific_journal-2100	21	32	the	the	DET
american_scientific_journal-2100	21	33	rsa	rsa	PROPN
american_scientific_journal-2100	21	34	cryptosystem	cryptosystem	NOUN
american_scientific_journal-2100	21	35	a	a	DET
american_scientific_journal-2100	21	36	higher	high	ADJ
american_scientific_journal-2100	21	37	security	security	NOUN
american_scientific_journal-2100	22	1	[	[	X
american_scientific_journal-2100	22	2	1	1	NUM
american_scientific_journal-2100	22	3	]	]	PUNCT
american_scientific_journal-2100	22	4	.	.	PUNCT
american_scientific_journal-2100	23	1	2	2	X
american_scientific_journal-2100	23	2	.	.	X
american_scientific_journal-2100	23	3	literature	literature	NOUN
american_scientific_journal-2100	23	4	review	review	VERB
american_scientific_journal-2100	23	5	the	the	DET
american_scientific_journal-2100	23	6	rsa	rsa	PROPN
american_scientific_journal-2100	23	7	cryptosystem	cryptosystem	NOUN
american_scientific_journal-2100	23	8	is	be	AUX
american_scientific_journal-2100	23	9	the	the	DET
american_scientific_journal-2100	23	10	first	first	ADJ
american_scientific_journal-2100	23	11	public	public	ADJ
american_scientific_journal-2100	23	12	key	key	ADJ
american_scientific_journal-2100	23	13	cryptosystem	cryptosystem	NOUN
american_scientific_journal-2100	23	14	for	for	ADP
american_scientific_journal-2100	23	15	performing	perform	VERB
american_scientific_journal-2100	23	16	encryption	encryption	NOUN
american_scientific_journal-2100	23	17	and	and	CCONJ
american_scientific_journal-2100	23	18	decryption	decryption	NOUN
american_scientific_journal-2100	23	19	of	of	ADP
american_scientific_journal-2100	23	20	data	datum	NOUN
american_scientific_journal-2100	23	21	,	,	PUNCT
american_scientific_journal-2100	23	22	which	which	PRON
american_scientific_journal-2100	23	23	was	be	AUX
american_scientific_journal-2100	23	24	invented	invent	VERB
american_scientific_journal-2100	23	25	in	in	ADP
american_scientific_journal-2100	23	26	1977	1977	NUM
american_scientific_journal-2100	23	27	by	by	ADP
american_scientific_journal-2100	23	28	ron	ron	PROPN
american_scientific_journal-2100	23	29	rivest	rivest	PROPN
american_scientific_journal-2100	23	30	,	,	PUNCT
american_scientific_journal-2100	23	31	adi	adi	PROPN
american_scientific_journal-2100	23	32	shamir	shamir	PROPN
american_scientific_journal-2100	23	33	,	,	PUNCT
american_scientific_journal-2100	23	34	and	and	CCONJ
american_scientific_journal-2100	23	35	len	len	ADJ
american_scientific_journal-2100	23	36	adleman	adleman	NOUN
american_scientific_journal-2100	23	37	.	.	PUNCT
american_scientific_journal-2100	24	1	the	the	DET
american_scientific_journal-2100	24	2	authors	author	NOUN
american_scientific_journal-2100	24	3	in	in	ADP
american_scientific_journal-2100	24	4	[	[	X
american_scientific_journal-2100	24	5	1	1	NUM
american_scientific_journal-2100	24	6	]	]	PUNCT
american_scientific_journal-2100	24	7	proposed	propose	VERB
american_scientific_journal-2100	24	8	a	a	DET
american_scientific_journal-2100	24	9	very	very	ADV
american_scientific_journal-2100	24	10	simple	simple	ADJ
american_scientific_journal-2100	24	11	modification	modification	NOUN
american_scientific_journal-2100	24	12	using	use	VERB
american_scientific_journal-2100	24	13	some	some	DET
american_scientific_journal-2100	24	14	mathematical	mathematical	ADJ
american_scientific_journal-2100	24	15	logic	logic	NOUN
american_scientific_journal-2100	24	16	and	and	CCONJ
american_scientific_journal-2100	24	17	two	two	NUM
american_scientific_journal-2100	24	18	public	public	ADJ
american_scientific_journal-2100	24	19	key	key	ADJ
american_scientific_journal-2100	24	20	pairs	pair	NOUN
american_scientific_journal-2100	24	21	rather	rather	ADV
american_scientific_journal-2100	24	22	than	than	ADP
american_scientific_journal-2100	24	23	transmitting	transmit	VERB
american_scientific_journal-2100	24	24	the	the	DET
american_scientific_journal-2100	24	25	value	value	NOUN
american_scientific_journal-2100	24	26	of	of	ADP
american_scientific_journal-2100	24	27	the	the	DET
american_scientific_journal-2100	24	28	public	public	ADJ
american_scientific_journal-2100	24	29	key	key	NOUN
american_scientific_journal-2100	24	30	directly	directly	ADV
american_scientific_journal-2100	24	31	.	.	PUNCT
american_scientific_journal-2100	25	1	in	in	ADP
american_scientific_journal-2100	25	2	[	[	PUNCT
american_scientific_journal-2100	25	3	2	2	NUM
american_scientific_journal-2100	25	4	]	]	PUNCT
american_scientific_journal-2100	25	5	,	,	PUNCT
american_scientific_journal-2100	25	6	the	the	DET
american_scientific_journal-2100	25	7	author	author	NOUN
american_scientific_journal-2100	25	8	suggested	suggest	VERB
american_scientific_journal-2100	25	9	a	a	DET
american_scientific_journal-2100	25	10	modification	modification	NOUN
american_scientific_journal-2100	25	11	of	of	ADP
american_scientific_journal-2100	25	12	the	the	DET
american_scientific_journal-2100	25	13	rsa	rsa	PROPN
american_scientific_journal-2100	25	14	cryptosystem	cryptosystem	NOUN
american_scientific_journal-2100	25	15	based	base	VERB
american_scientific_journal-2100	25	16	on	on	ADP
american_scientific_journal-2100	25	17	changing	change	VERB
american_scientific_journal-2100	25	18	the	the	DET
american_scientific_journal-2100	25	19	value	value	NOUN
american_scientific_journal-2100	25	20	of	of	ADP
american_scientific_journal-2100	25	21	n	n	CCONJ
american_scientific_journal-2100	25	22	=	=	X
american_scientific_journal-2100	25	23	p.q	p.q	NOUN
american_scientific_journal-2100	25	24	by	by	ADP
american_scientific_journal-2100	25	25	constructing	construct	VERB
american_scientific_journal-2100	25	26	a	a	DET
american_scientific_journal-2100	25	27	large	large	ADJ
american_scientific_journal-2100	25	28	set	set	NOUN
american_scientific_journal-2100	25	29	of	of	ADP
american_scientific_journal-2100	25	30	prime	prime	ADJ
american_scientific_journal-2100	25	31	numbers	number	NOUN
american_scientific_journal-2100	25	32	from	from	ADP
american_scientific_journal-2100	25	33	which	which	PRON
american_scientific_journal-2100	25	34	the	the	DET
american_scientific_journal-2100	25	35	users	user	NOUN
american_scientific_journal-2100	25	36	can	can	AUX
american_scientific_journal-2100	25	37	select	select	VERB
american_scientific_journal-2100	25	38	alternative	alternative	ADJ
american_scientific_journal-2100	25	39	values	value	NOUN
american_scientific_journal-2100	25	40	of	of	ADP
american_scientific_journal-2100	25	41	either	either	DET
american_scientific_journal-2100	25	42	one	one	NUM
american_scientific_journal-2100	25	43	of	of	ADP
american_scientific_journal-2100	25	44	the	the	DET
american_scientific_journal-2100	25	45	prime	prime	ADJ
american_scientific_journal-2100	25	46	numbers	number	NOUN
american_scientific_journal-2100	25	47	or	or	CCONJ
american_scientific_journal-2100	25	48	both	both	PRON
american_scientific_journal-2100	25	49	that	that	PRON
american_scientific_journal-2100	25	50	are	be	AUX
american_scientific_journal-2100	25	51	used	use	VERB
american_scientific_journal-2100	25	52	for	for	ADP
american_scientific_journal-2100	25	53	changing	change	VERB
american_scientific_journal-2100	25	54	the	the	DET
american_scientific_journal-2100	25	55	value	value	NOUN
american_scientific_journal-2100	25	56	of	of	ADP
american_scientific_journal-2100	25	57	n.	n.	NOUN
american_scientific_journal-2100	25	58	moreover	moreover	ADV
american_scientific_journal-2100	25	59	,	,	PUNCT
american_scientific_journal-2100	25	60	the	the	DET
american_scientific_journal-2100	25	61	authors	author	NOUN
american_scientific_journal-2100	25	62	in	in	ADP
american_scientific_journal-2100	25	63	[	[	X
american_scientific_journal-2100	25	64	3	3	NUM
american_scientific_journal-2100	25	65	]	]	PUNCT
american_scientific_journal-2100	25	66	used	use	VERB
american_scientific_journal-2100	25	67	two	two	NUM
american_scientific_journal-2100	25	68	key	key	ADJ
american_scientific_journal-2100	25	69	pair	pair	NOUN
american_scientific_journal-2100	25	70	,	,	PUNCT
american_scientific_journal-2100	25	71	a	a	DET
american_scientific_journal-2100	25	72	small	small	ADJ
american_scientific_journal-2100	25	73	size	size	NOUN
american_scientific_journal-2100	25	74	key	key	ADJ
american_scientific_journal-2100	25	75	pair	pair	NOUN
american_scientific_journal-2100	25	76	for	for	ADP
american_scientific_journal-2100	25	77	encrypting	encrypt	VERB
american_scientific_journal-2100	25	78	data	datum	NOUN
american_scientific_journal-2100	25	79	and	and	CCONJ
american_scientific_journal-2100	25	80	another	another	DET
american_scientific_journal-2100	25	81	large	large	ADJ
american_scientific_journal-2100	25	82	size	size	NOUN
american_scientific_journal-2100	25	83	key	key	ADJ
american_scientific_journal-2100	25	84	pair	pair	NOUN
american_scientific_journal-2100	25	85	to	to	PART
american_scientific_journal-2100	25	86	encrypt	encrypt	VERB
american_scientific_journal-2100	25	87	n	n	PROPN
american_scientific_journal-2100	25	88	of	of	ADP
american_scientific_journal-2100	25	89	small	small	ADJ
american_scientific_journal-2100	25	90	size	size	NOUN
american_scientific_journal-2100	25	91	key	key	NOUN
american_scientific_journal-2100	25	92	pair	pair	NOUN
american_scientific_journal-2100	25	93	.	.	PUNCT
american_scientific_journal-2100	26	1	in	in	ADP
american_scientific_journal-2100	26	2	addition	addition	NOUN
american_scientific_journal-2100	26	3	,	,	PUNCT
american_scientific_journal-2100	26	4	the	the	DET
american_scientific_journal-2100	26	5	article	article	NOUN
american_scientific_journal-2100	26	6	in	in	ADP
american_scientific_journal-2100	26	7	[	[	X
american_scientific_journal-2100	26	8	4	4	NUM
american_scientific_journal-2100	26	9	]	]	PUNCT
american_scientific_journal-2100	26	10	,	,	PUNCT
american_scientific_journal-2100	26	11	the	the	DET
american_scientific_journal-2100	26	12	authors	author	NOUN
american_scientific_journal-2100	26	13	presented	present	VERB
american_scientific_journal-2100	26	14	a	a	DET
american_scientific_journal-2100	26	15	modified	modified	ADJ
american_scientific_journal-2100	26	16	approach	approach	NOUN
american_scientific_journal-2100	26	17	to	to	ADP
american_scientific_journal-2100	26	18	data	data	NOUN
american_scientific_journal-2100	26	19	security	security	NOUN
american_scientific_journal-2100	26	20	using	use	VERB
american_scientific_journal-2100	26	21	the	the	DET
american_scientific_journal-2100	26	22	concept	concept	NOUN
american_scientific_journal-2100	26	23	of	of	ADP
american_scientific_journal-2100	26	24	genetic	genetic	ADJ
american_scientific_journal-2100	26	25	algorithm	algorithm	NOUN
american_scientific_journal-2100	26	26	and	and	CCONJ
american_scientific_journal-2100	26	27	rsa	rsa	PROPN
american_scientific_journal-2100	26	28	cryptosystem	cryptosystem	NOUN
american_scientific_journal-2100	26	29	to	to	PART
american_scientific_journal-2100	26	30	encrypt	encrypt	VERB
american_scientific_journal-2100	26	31	and	and	CCONJ
american_scientific_journal-2100	26	32	decrypt	decrypt	VERB
american_scientific_journal-2100	26	33	these	these	DET
american_scientific_journal-2100	26	34	data	datum	NOUN
american_scientific_journal-2100	26	35	.	.	PUNCT
american_scientific_journal-2100	27	1	in	in	ADP
american_scientific_journal-2100	27	2	[	[	X
american_scientific_journal-2100	27	3	5	5	NUM
american_scientific_journal-2100	27	4	]	]	PUNCT
american_scientific_journal-2100	27	5	the	the	DET
american_scientific_journal-2100	27	6	authors	author	NOUN
american_scientific_journal-2100	27	7	suggested	suggest	VERB
american_scientific_journal-2100	27	8	a	a	DET
american_scientific_journal-2100	27	9	modification	modification	NOUN
american_scientific_journal-2100	27	10	of	of	ADP
american_scientific_journal-2100	27	11	rsa	rsa	PROPN
american_scientific_journal-2100	27	12	cryptosystem	cryptosystem	NOUN
american_scientific_journal-2100	27	13	to	to	PART
american_scientific_journal-2100	27	14	increase	increase	VERB
american_scientific_journal-2100	27	15	the	the	DET
american_scientific_journal-2100	27	16	security	security	NOUN
american_scientific_journal-2100	27	17	of	of	ADP
american_scientific_journal-2100	27	18	it	it	PRON
american_scientific_journal-2100	27	19	based	base	VERB
american_scientific_journal-2100	27	20	on	on	ADP
american_scientific_journal-2100	27	21	additive	additive	ADJ
american_scientific_journal-2100	27	22	homomorphic	homomorphic	ADJ
american_scientific_journal-2100	27	23	properties	property	NOUN
american_scientific_journal-2100	27	24	.	.	PUNCT
american_scientific_journal-2100	28	1	in	in	ADP
american_scientific_journal-2100	28	2	[	[	X
american_scientific_journal-2100	28	3	6	6	NUM
american_scientific_journal-2100	28	4	]	]	PUNCT
american_scientific_journal-2100	28	5	,	,	PUNCT
american_scientific_journal-2100	28	6	the	the	DET
american_scientific_journal-2100	28	7	authors	author	NOUN
american_scientific_journal-2100	28	8	tried	try	VERB
american_scientific_journal-2100	28	9	to	to	PART
american_scientific_journal-2100	28	10	speed	speed	VERB
american_scientific_journal-2100	28	11	up	up	ADP
american_scientific_journal-2100	28	12	the	the	DET
american_scientific_journal-2100	28	13	implementation	implementation	NOUN
american_scientific_journal-2100	28	14	of	of	ADP
american_scientific_journal-2100	28	15	the	the	DET
american_scientific_journal-2100	28	16	algorithms	algorithm	NOUN
american_scientific_journal-2100	28	17	of	of	ADP
american_scientific_journal-2100	28	18	rsa	rsa	PROPN
american_scientific_journal-2100	28	19	over	over	ADP
american_scientific_journal-2100	28	20	networks	network	NOUN
american_scientific_journal-2100	28	21	by	by	ADP
american_scientific_journal-2100	28	22	enhancing	enhance	VERB
american_scientific_journal-2100	28	23	its	its	PRON
american_scientific_journal-2100	28	24	algorithms	algorithm	NOUN
american_scientific_journal-2100	28	25	and	and	CCONJ
american_scientific_journal-2100	28	26	giving	give	VERB
american_scientific_journal-2100	28	27	a	a	DET
american_scientific_journal-2100	28	28	modified	modify	VERB
american_scientific_journal-2100	28	29	form	form	NOUN
american_scientific_journal-2100	28	30	for	for	ADP
american_scientific_journal-2100	28	31	its	its	PRON
american_scientific_journal-2100	28	32	algorithms	algorithm	NOUN
american_scientific_journal-2100	28	33	with	with	ADP
american_scientific_journal-2100	28	34	using	use	VERB
american_scientific_journal-2100	28	35	of	of	ADP
american_scientific_journal-2100	28	36	the	the	DET
american_scientific_journal-2100	28	37	third	third	ADJ
american_scientific_journal-2100	28	38	prime	prime	ADJ
american_scientific_journal-2100	28	39	number	number	NOUN
american_scientific_journal-2100	28	40	in	in	ADP
american_scientific_journal-2100	28	41	the	the	DET
american_scientific_journal-2100	28	42	structure	structure	NOUN
american_scientific_journal-2100	28	43	of	of	ADP
american_scientific_journal-2100	28	44	modulo	modulo	PROPN
american_scientific_journal-2100	28	45	n	n	CCONJ
american_scientific_journal-2100	28	46	,	,	PUNCT
american_scientific_journal-2100	28	47	which	which	PRON
american_scientific_journal-2100	28	48	is	be	AUX
american_scientific_journal-2100	28	49	very	very	ADV
american_scientific_journal-2100	28	50	hard	hard	ADJ
american_scientific_journal-2100	28	51	to	to	PART
american_scientific_journal-2100	28	52	decompose	decompose	VERB
american_scientific_journal-2100	28	53	by	by	ADP
american_scientific_journal-2100	28	54	any	any	DET
american_scientific_journal-2100	28	55	attacker	attacker	NOUN
american_scientific_journal-2100	28	56	.	.	PUNCT
american_scientific_journal-2100	29	1	the	the	DET
american_scientific_journal-2100	29	2	authors	author	NOUN
american_scientific_journal-2100	29	3	in	in	ADP
american_scientific_journal-2100	29	4	[	[	X
american_scientific_journal-2100	29	5	7	7	NUM
american_scientific_journal-2100	29	6	]	]	X
american_scientific_journal-2100	29	7	modified	modify	VERB
american_scientific_journal-2100	29	8	the	the	DET
american_scientific_journal-2100	29	9	rsa	rsa	PROPN
american_scientific_journal-2100	29	10	cryptosystem	cryptosystem	NOUN
american_scientific_journal-2100	29	11	by	by	ADP
american_scientific_journal-2100	29	12	modifying	modify	VERB
american_scientific_journal-2100	29	13	the	the	DET
american_scientific_journal-2100	29	14	subset	subset	NOUN
american_scientific_journal-2100	29	15	-	-	PUNCT
american_scientific_journal-2100	29	16	sum	sum	NOUN
american_scientific_journal-2100	29	17	over	over	ADP
american_scientific_journal-2100	29	18	rsa	rsa	PROPN
american_scientific_journal-2100	29	19	cryptosystem	cryptosystem	NOUN
american_scientific_journal-2100	29	20	,	,	PUNCT
american_scientific_journal-2100	29	21	which	which	PRON
american_scientific_journal-2100	29	22	is	be	AUX
american_scientific_journal-2100	29	23	secure	secure	ADJ
american_scientific_journal-2100	29	24	against	against	ADP
american_scientific_journal-2100	29	25	mathematical	mathematical	ADJ
american_scientific_journal-2100	29	26	and	and	CCONJ
american_scientific_journal-2100	29	27	brute	brute	ADJ
american_scientific_journal-2100	29	28	-	-	PUNCT
american_scientific_journal-2100	29	29	force	force	NOUN
american_scientific_journal-2100	29	30	attacks	attack	NOUN
american_scientific_journal-2100	29	31	on	on	ADP
american_scientific_journal-2100	29	32	rsa	rsa	PROPN
american_scientific_journal-2100	29	33	.	.	PUNCT
american_scientific_journal-2100	30	1	on	on	ADP
american_scientific_journal-2100	30	2	the	the	DET
american_scientific_journal-2100	30	3	other	other	ADJ
american_scientific_journal-2100	30	4	,	,	PUNCT
american_scientific_journal-2100	30	5	in	in	ADP
american_scientific_journal-2100	30	6	[	[	X
american_scientific_journal-2100	30	7	8	8	NUM
american_scientific_journal-2100	30	8	]	]	PUNCT
american_scientific_journal-2100	30	9	the	the	DET
american_scientific_journal-2100	30	10	authors	author	NOUN
american_scientific_journal-2100	30	11	used	use	VERB
american_scientific_journal-2100	30	12	short	short	ADJ
american_scientific_journal-2100	30	13	range	range	NOUN
american_scientific_journal-2100	30	14	natural	natural	ADJ
american_scientific_journal-2100	30	15	number	number	NOUN
american_scientific_journal-2100	30	16	algorithm	algorithm	NOUN
american_scientific_journal-2100	30	17	to	to	PART
american_scientific_journal-2100	30	18	modify	modify	VERB
american_scientific_journal-2100	30	19	the	the	DET
american_scientific_journal-2100	30	20	rsa	rsa	PROPN
american_scientific_journal-2100	30	21	cryptosystem	cryptosystem	NOUN
american_scientific_journal-2100	30	22	using	use	VERB
american_scientific_journal-2100	30	23	two	two	NUM
american_scientific_journal-2100	30	24	natural	natural	ADJ
american_scientific_journal-2100	30	25	numbers	number	NOUN
american_scientific_journal-2100	30	26	in	in	ADP
american_scientific_journal-2100	30	27	pair	pair	NOUN
american_scientific_journal-2100	30	28	of	of	ADP
american_scientific_journal-2100	30	29	the	the	DET
american_scientific_journal-2100	30	30	public	public	ADJ
american_scientific_journal-2100	30	31	and	and	CCONJ
american_scientific_journal-2100	30	32	private	private	ADJ
american_scientific_journal-2100	30	33	keys	key	NOUN
american_scientific_journal-2100	30	34	to	to	PART
american_scientific_journal-2100	30	35	increase	increase	VERB
american_scientific_journal-2100	30	36	the	the	DET
american_scientific_journal-2100	30	37	security	security	NOUN
american_scientific_journal-2100	30	38	.	.	PUNCT
american_scientific_journal-2100	31	1	in	in	ADP
american_scientific_journal-2100	31	2	2012	2012	NUM
american_scientific_journal-2100	31	3	,	,	PUNCT
american_scientific_journal-2100	31	4	the	the	DET
american_scientific_journal-2100	31	5	authors	author	NOUN
american_scientific_journal-2100	31	6	in	in	ADP
american_scientific_journal-2100	31	7	[	[	X
american_scientific_journal-2100	31	8	9	9	NUM
american_scientific_journal-2100	31	9	]	]	PUNCT
american_scientific_journal-2100	31	10	modified	modify	VERB
american_scientific_journal-2100	31	11	the	the	DET
american_scientific_journal-2100	31	12	rsa	rsa	PROPN
american_scientific_journal-2100	31	13	cryptosystem	cryptosystem	NOUN
american_scientific_journal-2100	31	14	by	by	ADP
american_scientific_journal-2100	31	15	increasing	increase	VERB
american_scientific_journal-2100	31	16	the	the	DET
american_scientific_journal-2100	31	17	number	number	NOUN
american_scientific_journal-2100	31	18	of	of	ADP
american_scientific_journal-2100	31	19	the	the	DET
american_scientific_journal-2100	31	20	primes	prime	NOUN
american_scientific_journal-2100	31	21	,	,	PUNCT
american_scientific_journal-2100	31	22	which	which	PRON
american_scientific_journal-2100	31	23	are	be	AUX
american_scientific_journal-2100	31	24	composed	compose	VERB
american_scientific_journal-2100	31	25	n	n	CCONJ
american_scientific_journal-2100	31	26	,	,	PUNCT
american_scientific_journal-2100	31	27	to	to	ADP
american_scientific_journal-2100	31	28	k	k	PROPN
american_scientific_journal-2100	31	29	given	give	VERB
american_scientific_journal-2100	31	30	prime	prime	ADJ
american_scientific_journal-2100	31	31	numbers	number	NOUN
american_scientific_journal-2100	31	32	.	.	PUNCT
american_scientific_journal-2100	32	1	this	this	DET
american_scientific_journal-2100	32	2	technique	technique	NOUN
american_scientific_journal-2100	32	3	gives	give	VERB
american_scientific_journal-2100	32	4	the	the	DET
american_scientific_journal-2100	32	5	rsa	rsa	PROPN
american_scientific_journal-2100	32	6	cryptosystem	cryptosystem	NOUN
american_scientific_journal-2100	32	7	a	a	DET
american_scientific_journal-2100	32	8	higher	high	ADJ
american_scientific_journal-2100	32	9	security	security	NOUN
american_scientific_journal-2100	32	10	because	because	SCONJ
american_scientific_journal-2100	32	11	it	it	PRON
american_scientific_journal-2100	32	12	is	be	AUX
american_scientific_journal-2100	32	13	not	not	PART
american_scientific_journal-2100	32	14	easily	easily	ADV
american_scientific_journal-2100	32	15	to	to	PART
american_scientific_journal-2100	32	16	decompose	decompose	VERB
american_scientific_journal-2100	32	17	n	n	NOUN
american_scientific_journal-2100	32	18	to	to	ADP
american_scientific_journal-2100	32	19	‘	'	PUNCT
american_scientific_journal-2100	32	20	k	k	NOUN
american_scientific_journal-2100	32	21	’	'	PUNCT
american_scientific_journal-2100	32	22	prime	prime	ADJ
american_scientific_journal-2100	32	23	numbers	number	NOUN
american_scientific_journal-2100	32	24	.	.	PUNCT
american_scientific_journal-2100	33	1	however	however	ADV
american_scientific_journal-2100	33	2	,	,	PUNCT
american_scientific_journal-2100	33	3	there	there	PRON
american_scientific_journal-2100	33	4	are	be	VERB
american_scientific_journal-2100	33	5	different	different	ADJ
american_scientific_journal-2100	33	6	authors	author	NOUN
american_scientific_journal-2100	33	7	have	have	AUX
american_scientific_journal-2100	33	8	done	do	VERB
american_scientific_journal-2100	33	9	other	other	ADJ
american_scientific_journal-2100	33	10	modifications	modification	NOUN
american_scientific_journal-2100	33	11	,	,	PUNCT
american_scientific_journal-2100	33	12	the	the	DET
american_scientific_journal-2100	33	13	private	private	ADJ
american_scientific_journal-2100	33	14	key	key	NOUN
american_scientific_journal-2100	33	15	of	of	ADP
american_scientific_journal-2100	33	16	the	the	DET
american_scientific_journal-2100	33	17	rsa	rsa	PROPN
american_scientific_journal-2100	33	18	cryptosystem	cryptosystem	NOUN
american_scientific_journal-2100	33	19	might	might	AUX
american_scientific_journal-2100	33	20	be	be	AUX
american_scientific_journal-2100	33	21	found	find	VERB
american_scientific_journal-2100	33	22	by	by	ADP
american_scientific_journal-2100	33	23	inspection	inspection	NOUN
american_scientific_journal-2100	33	24	.	.	PUNCT
american_scientific_journal-2100	34	1	therefore	therefore	ADV
american_scientific_journal-2100	34	2	,	,	PUNCT
american_scientific_journal-2100	34	3	this	this	DET
american_scientific_journal-2100	34	4	paper	paper	NOUN
american_scientific_journal-2100	34	5	suggests	suggest	VERB
american_scientific_journal-2100	34	6	a	a	DET
american_scientific_journal-2100	34	7	new	new	ADJ
american_scientific_journal-2100	34	8	modification	modification	NOUN
american_scientific_journal-2100	34	9	of	of	ADP
american_scientific_journal-2100	34	10	rsa	rsa	PROPN
american_scientific_journal-2100	34	11	cryptosystem	cryptosystem	NOUN
american_scientific_journal-2100	34	12	by	by	ADP
american_scientific_journal-2100	34	13	increasing	increase	VERB
american_scientific_journal-2100	34	14	the	the	DET
american_scientific_journal-2100	34	15	number	number	NOUN
american_scientific_journal-2100	34	16	of	of	ADP
american_scientific_journal-2100	34	17	the	the	DET
american_scientific_journal-2100	34	18	private	private	ADJ
american_scientific_journal-2100	34	19	keys	key	NOUN
american_scientific_journal-2100	34	20	from	from	ADP
american_scientific_journal-2100	34	21	one	one	NUM
american_scientific_journal-2100	34	22	key	key	NOUN
american_scientific_journal-2100	34	23	to	to	ADP
american_scientific_journal-2100	34	24	"	"	PUNCT
american_scientific_journal-2100	34	25	k	k	NOUN
american_scientific_journal-2100	34	26	"	"	PUNCT
american_scientific_journal-2100	34	27	chosen	choose	VERB
american_scientific_journal-2100	34	28	private	private	ADJ
american_scientific_journal-2100	34	29	keys	key	NOUN
american_scientific_journal-2100	34	30	.	.	PUNCT
american_scientific_journal-2100	35	1	this	this	DET
american_scientific_journal-2100	35	2	modification	modification	NOUN
american_scientific_journal-2100	35	3	gives	give	VERB
american_scientific_journal-2100	35	4	rsa	rsa	PROPN
american_scientific_journal-2100	35	5	cryptosystem	cryptosystem	NOUN
american_scientific_journal-2100	35	6	a	a	DET
american_scientific_journal-2100	35	7	higher	high	ADJ
american_scientific_journal-2100	35	8	security	security	NOUN
american_scientific_journal-2100	35	9	and	and	CCONJ
american_scientific_journal-2100	35	10	makes	make	VERB
american_scientific_journal-2100	35	11	it	it	PRON
american_scientific_journal-2100	35	12	one	one	NUM
american_scientific_journal-2100	35	13	of	of	ADP
american_scientific_journal-2100	35	14	the	the	DET
american_scientific_journal-2100	35	15	most	most	ADV
american_scientific_journal-2100	35	16	secure	secure	ADJ
american_scientific_journal-2100	35	17	public	public	ADJ
american_scientific_journal-2100	35	18	key	key	ADJ
american_scientific_journal-2100	35	19	cryptosystem	cryptosystem	NOUN
american_scientific_journal-2100	35	20	.	.	PUNCT
american_scientific_journal-2100	36	1	3	3	X
american_scientific_journal-2100	36	2	.	.	X
american_scientific_journal-2100	36	3	rsa	rsa	PROPN
american_scientific_journal-2100	36	4	cryptosystem	cryptosystem	NOUN
american_scientific_journal-2100	36	5	there	there	PRON
american_scientific_journal-2100	36	6	are	be	VERB
american_scientific_journal-2100	36	7	two	two	NUM
american_scientific_journal-2100	36	8	keys	key	NOUN
american_scientific_journal-2100	36	9	in	in	ADP
american_scientific_journal-2100	36	10	rsa	rsa	PROPN
american_scientific_journal-2100	36	11	cryptosystem	cryptosystem	NOUN
american_scientific_journal-2100	36	12	,	,	PUNCT
american_scientific_journal-2100	36	13	one	one	NOUN
american_scientific_journal-2100	36	14	is	be	AUX
american_scientific_journal-2100	36	15	public	public	ADJ
american_scientific_journal-2100	36	16	that	that	PRON
american_scientific_journal-2100	36	17	should	should	AUX
american_scientific_journal-2100	36	18	be	be	AUX
american_scientific_journal-2100	36	19	available	available	ADJ
american_scientific_journal-2100	36	20	to	to	ADP
american_scientific_journal-2100	36	21	everyone	everyone	PRON
american_scientific_journal-2100	36	22	and	and	CCONJ
american_scientific_journal-2100	36	23	the	the	DET
american_scientific_journal-2100	36	24	other	other	ADJ
american_scientific_journal-2100	36	25	is	be	AUX
american_scientific_journal-2100	36	26	private	private	ADJ
american_scientific_journal-2100	36	27	,	,	PUNCT
american_scientific_journal-2100	36	28	which	which	PRON
american_scientific_journal-2100	36	29	is	be	AUX
american_scientific_journal-2100	36	30	kept	keep	VERB
american_scientific_journal-2100	36	31	secret	secret	ADJ
american_scientific_journal-2100	36	32	by	by	ADP
american_scientific_journal-2100	36	33	the	the	DET
american_scientific_journal-2100	36	34	creator	creator	NOUN
american_scientific_journal-2100	36	35	.	.	PUNCT
american_scientific_journal-2100	37	1	the	the	DET
american_scientific_journal-2100	37	2	public	public	ADJ
american_scientific_journal-2100	37	3	and	and	CCONJ
american_scientific_journal-2100	37	4	private	private	ADJ
american_scientific_journal-2100	37	5	keys	key	NOUN
american_scientific_journal-2100	37	6	are	be	AUX
american_scientific_journal-2100	37	7	used	use	VERB
american_scientific_journal-2100	37	8	for	for	ADP
american_scientific_journal-2100	37	9	encryption	encryption	NOUN
american_scientific_journal-2100	37	10	and	and	CCONJ
american_scientific_journal-2100	37	11	decryption	decryption	NOUN
american_scientific_journal-2100	37	12	procedures	procedure	NOUN
american_scientific_journal-2100	37	13	respectively	respectively	ADV
american_scientific_journal-2100	37	14	[	[	X
american_scientific_journal-2100	37	15	11	11	NUM
american_scientific_journal-2100	37	16	]	]	SYM
american_scientific_journal-2100	37	17	.	.	PUNCT
american_scientific_journal-2100	38	1	3.1	3.1	NUM
american_scientific_journal-2100	38	2	.	.	PUNCT
american_scientific_journal-2100	39	1	the	the	DET
american_scientific_journal-2100	39	2	key	key	ADJ
american_scientific_journal-2100	39	3	generation	generation	NOUN
american_scientific_journal-2100	39	4	of	of	ADP
american_scientific_journal-2100	39	5	rsa	rsa	PROPN
american_scientific_journal-2100	39	6	cryptosystem	cryptosystem	NOUN
american_scientific_journal-2100	39	7	[	[	X
american_scientific_journal-2100	39	8	11	11	NUM
american_scientific_journal-2100	39	9	]	]	SYM
american_scientific_journal-2100	39	10	•	•	NUM
american_scientific_journal-2100	39	11	two	two	NUM
american_scientific_journal-2100	39	12	very	very	ADV
american_scientific_journal-2100	39	13	large	large	ADJ
american_scientific_journal-2100	39	14	prime	prime	ADJ
american_scientific_journal-2100	39	15	numbers	number	NOUN
american_scientific_journal-2100	39	16	p	p	PROPN
american_scientific_journal-2100	39	17	&	&	CCONJ
american_scientific_journal-2100	39	18	q	q	PROPN
american_scientific_journal-2100	39	19	are	be	AUX
american_scientific_journal-2100	39	20	selected	select	VERB
american_scientific_journal-2100	39	21	by	by	ADP
american_scientific_journal-2100	39	22	every	every	DET
american_scientific_journal-2100	39	23	user	user	NOUN
american_scientific_journal-2100	39	24	to	to	ADP
american_scientific_journal-2100	39	25	from	from	ADP
american_scientific_journal-2100	39	26	n	n	CCONJ
american_scientific_journal-2100	39	27	=	=	SYM
american_scientific_journal-2100	39	28	pq	pq	NOUN
american_scientific_journal-2100	39	29	.	.	PUNCT
american_scientific_journal-2100	39	30	https://en.wikipedia.org/wiki/diffie%e2%80%93hellman_key_exchange	https://en.wikipedia.org/wiki/diffie%e2%80%93hellman_key_exchange	ADJ
american_scientific_journal-2100	39	31	american	american	ADJ
american_scientific_journal-2100	39	32	scientific	scientific	ADJ
american_scientific_journal-2100	39	33	research	research	NOUN
american_scientific_journal-2100	39	34	journal	journal	NOUN
american_scientific_journal-2100	39	35	for	for	ADP
american_scientific_journal-2100	39	36	engineering	engineering	NOUN
american_scientific_journal-2100	39	37	,	,	PUNCT
american_scientific_journal-2100	39	38	technology	technology	NOUN
american_scientific_journal-2100	39	39	,	,	PUNCT
american_scientific_journal-2100	39	40	and	and	CCONJ
american_scientific_journal-2100	39	41	sciences	science	NOUN
american_scientific_journal-2100	39	42	(	(	PUNCT
american_scientific_journal-2100	39	43	asrjets	asrjet	NOUN
american_scientific_journal-2100	39	44	)	)	PUNCT
american_scientific_journal-2100	39	45	(	(	PUNCT
american_scientific_journal-2100	39	46	2016	2016	NUM
american_scientific_journal-2100	39	47	)	)	PUNCT
american_scientific_journal-2100	39	48	volume	volume	NOUN
american_scientific_journal-2100	39	49	24	24	NUM
american_scientific_journal-2100	39	50	,	,	PUNCT
american_scientific_journal-2100	39	51	no	no	DET
american_scientific_journal-2100	39	52	1	1	NUM
american_scientific_journal-2100	39	53	,	,	PUNCT
american_scientific_journal-2100	39	54	pp	pp	ADV
american_scientific_journal-2100	39	55	270	270	NUM
american_scientific_journal-2100	39	56	-	-	SYM
american_scientific_journal-2100	39	57	279	279	NUM
american_scientific_journal-2100	39	58	272	272	NUM
american_scientific_journal-2100	39	59	•	•	NOUN
american_scientific_journal-2100	39	60	everyone	everyone	PRON
american_scientific_journal-2100	39	61	computes	compute	VERB
american_scientific_journal-2100	39	62	the	the	DET
american_scientific_journal-2100	39	63	euler	euler	NOUN
american_scientific_journal-2100	39	64	phi	phi	NOUN
american_scientific_journal-2100	39	65	function	function	NOUN
american_scientific_journal-2100	39	66	such	such	ADJ
american_scientific_journal-2100	39	67	that	that	SCONJ
american_scientific_journal-2100	39	68	φ(n	φ(n	NOUN
american_scientific_journal-2100	39	69	)	)	PUNCT
american_scientific_journal-2100	39	70	=	=	SYM
american_scientific_journal-2100	39	71	φ	φ	PROPN
american_scientific_journal-2100	39	72	(	(	PUNCT
american_scientific_journal-2100	39	73	pq	pq	NOUN
american_scientific_journal-2100	39	74	)	)	PUNCT
american_scientific_journal-2100	39	75	=(	=(	NOUN
american_scientific_journal-2100	39	76	p-1)(q-1	p-1)(q-1	PROPN
american_scientific_journal-2100	39	77	)	)	PUNCT
american_scientific_journal-2100	39	78	.	.	PUNCT
american_scientific_journal-2100	40	1	•	•	NUM
american_scientific_journal-2100	40	2	two	two	NUM
american_scientific_journal-2100	40	3	positive	positive	ADJ
american_scientific_journal-2100	40	4	integers	integer	NOUN
american_scientific_journal-2100	40	5	𝑤𝑤1	𝑤𝑤1	PROPN
american_scientific_journal-2100	40	6	&	&	CCONJ
american_scientific_journal-2100	40	7	𝑠𝑠1	𝑠𝑠1	PROPN
american_scientific_journal-2100	40	8	are	be	AUX
american_scientific_journal-2100	40	9	chosen	choose	VERB
american_scientific_journal-2100	40	10	such	such	ADJ
american_scientific_journal-2100	40	11	that	that	SCONJ
american_scientific_journal-2100	40	12	𝑠𝑠1	𝑠𝑠1	NOUN
american_scientific_journal-2100	40	13	is	be	AUX
american_scientific_journal-2100	40	14	an	an	DET
american_scientific_journal-2100	40	15	inverse	inverse	NOUN
american_scientific_journal-2100	40	16	of	of	ADP
american_scientific_journal-2100	40	17	𝑤𝑤1	𝑤𝑤1	PROPN
american_scientific_journal-2100	40	18	modulo	modulo	PROPN
american_scientific_journal-2100	40	19	φ	φ	PROPN
american_scientific_journal-2100	40	20	(	(	PUNCT
american_scientific_journal-2100	40	21	n	n	CCONJ
american_scientific_journal-2100	40	22	)	)	PUNCT
american_scientific_journal-2100	40	23	with	with	ADP
american_scientific_journal-2100	40	24	1	1	NUM
american_scientific_journal-2100	40	25	<	<	X
american_scientific_journal-2100	40	26	𝑤𝑤1	𝑤𝑤1	PROPN
american_scientific_journal-2100	40	27	,	,	PUNCT
american_scientific_journal-2100	40	28	𝑠𝑠1	𝑠𝑠1	X
american_scientific_journal-2100	40	29	<	<	X
american_scientific_journal-2100	40	30	φ	φ	X
american_scientific_journal-2100	40	31	(	(	PUNCT
american_scientific_journal-2100	40	32	n	n	CCONJ
american_scientific_journal-2100	40	33	)	)	PUNCT
american_scientific_journal-2100	40	34	,	,	PUNCT
american_scientific_journal-2100	40	35	gcd(𝑤𝑤1	gcd(𝑤𝑤1	PROPN
american_scientific_journal-2100	40	36	,	,	PUNCT
american_scientific_journal-2100	40	37	φ	φ	PROPN
american_scientific_journal-2100	40	38	(	(	PUNCT
american_scientific_journal-2100	40	39	n))=1	n))=1	ADV
american_scientific_journal-2100	40	40	•	•	ADP
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american_scientific_journal-2100	40	42	pair	pair	NOUN
american_scientific_journal-2100	40	43	(	(	PUNCT
american_scientific_journal-2100	40	44	𝑤𝑤1	𝑤𝑤1	ADJ
american_scientific_journal-2100	40	45	,	,	PUNCT
american_scientific_journal-2100	40	46	n	n	CCONJ
american_scientific_journal-2100	40	47	)	)	PUNCT
american_scientific_journal-2100	40	48	is	be	AUX
american_scientific_journal-2100	40	49	announced	announce	VERB
american_scientific_journal-2100	40	50	publicly	publicly	ADV
american_scientific_journal-2100	40	51	,	,	PUNCT
american_scientific_journal-2100	40	52	and	and	CCONJ
american_scientific_journal-2100	40	53	the	the	DET
american_scientific_journal-2100	40	54	creator	creator	NOUN
american_scientific_journal-2100	40	55	must	must	AUX
american_scientific_journal-2100	40	56	keep	keep	VERB
american_scientific_journal-2100	40	57	(	(	PUNCT
american_scientific_journal-2100	40	58	𝑠𝑠1	𝑠𝑠1	NOUN
american_scientific_journal-2100	40	59	,	,	PUNCT
american_scientific_journal-2100	40	60	n	n	CCONJ
american_scientific_journal-2100	40	61	)	)	PUNCT
american_scientific_journal-2100	40	62	secret	secret	ADJ
american_scientific_journal-2100	40	63	.	.	PUNCT
american_scientific_journal-2100	41	1	3.2	3.2	NUM
american_scientific_journal-2100	41	2	.	.	PUNCT
american_scientific_journal-2100	42	1	the	the	DET
american_scientific_journal-2100	42	2	encryption	encryption	NOUN
american_scientific_journal-2100	42	3	procedure	procedure	NOUN
american_scientific_journal-2100	42	4	of	of	ADP
american_scientific_journal-2100	42	5	rsa	rsa	PROPN
american_scientific_journal-2100	42	6	cryptosystem	cryptosystem	NOUN
american_scientific_journal-2100	42	7	[	[	X
american_scientific_journal-2100	42	8	11	11	NUM
american_scientific_journal-2100	42	9	]	]	SYM
american_scientific_journal-2100	42	10	•	•	NOUN
american_scientific_journal-2100	42	11	the	the	DET
american_scientific_journal-2100	42	12	announced	announce	VERB
american_scientific_journal-2100	42	13	recipient	recipient	NOUN
american_scientific_journal-2100	42	14	's	's	PART
american_scientific_journal-2100	42	15	public	public	ADJ
american_scientific_journal-2100	42	16	key	key	NOUN
american_scientific_journal-2100	42	17	(	(	PUNCT
american_scientific_journal-2100	42	18	𝑤𝑤1	𝑤𝑤1	ADJ
american_scientific_journal-2100	42	19	,	,	PUNCT
american_scientific_journal-2100	42	20	n	n	CCONJ
american_scientific_journal-2100	42	21	)	)	PUNCT
american_scientific_journal-2100	42	22	being	be	AUX
american_scientific_journal-2100	42	23	used	use	VERB
american_scientific_journal-2100	42	24	to	to	PART
american_scientific_journal-2100	42	25	encrypt	encrypt	VERB
american_scientific_journal-2100	42	26	a	a	DET
american_scientific_journal-2100	42	27	plaintext	plaintext	NOUN
american_scientific_journal-2100	42	28	block	block	NOUN
american_scientific_journal-2100	42	29	m	m	PROPN
american_scientific_journal-2100	42	30	;	;	PUNCT
american_scientific_journal-2100	42	31	corresponding	correspond	VERB
american_scientific_journal-2100	42	32	numerical	numerical	ADJ
american_scientific_journal-2100	42	33	equivalents	equivalent	NOUN
american_scientific_journal-2100	42	34	of	of	ADP
american_scientific_journal-2100	42	35	a	a	DET
american_scientific_journal-2100	42	36	plaintext	plaintext	NOUN
american_scientific_journal-2100	42	37	message	message	NOUN
american_scientific_journal-2100	42	38	block	block	NOUN
american_scientific_journal-2100	42	39	p.	p.	NOUN
american_scientific_journal-2100	42	40	•	•	NUM
american_scientific_journal-2100	43	1	e	e	X
american_scientific_journal-2100	43	2	(	(	PUNCT
american_scientific_journal-2100	43	3	m	m	NOUN
american_scientific_journal-2100	43	4	)	)	PUNCT
american_scientific_journal-2100	43	5	=	=	NOUN
american_scientific_journal-2100	43	6	y≡	y≡	X
american_scientific_journal-2100	43	7	𝑀𝑀𝑤𝑤1	𝑀𝑀𝑤𝑤1	NUM
american_scientific_journal-2100	43	8	(	(	PUNCT
american_scientific_journal-2100	43	9	mod	mod	PROPN
american_scientific_journal-2100	43	10	n	n	CCONJ
american_scientific_journal-2100	43	11	)	)	PUNCT
american_scientific_journal-2100	43	12	is	be	AUX
american_scientific_journal-2100	43	13	computed	compute	VERB
american_scientific_journal-2100	43	14	by	by	ADP
american_scientific_journal-2100	43	15	the	the	DET
american_scientific_journal-2100	43	16	sender	sender	NOUN
american_scientific_journal-2100	43	17	.	.	PUNCT
american_scientific_journal-2100	44	1	•	•	NOUN
american_scientific_journal-2100	44	2	the	the	DET
american_scientific_journal-2100	44	3	ciphertext	ciphertext	NOUN
american_scientific_journal-2100	44	4	is	be	AUX
american_scientific_journal-2100	44	5	transmitted	transmit	VERB
american_scientific_journal-2100	44	6	as	as	ADP
american_scientific_journal-2100	44	7	a	a	DET
american_scientific_journal-2100	44	8	list	list	NOUN
american_scientific_journal-2100	44	9	of	of	ADP
american_scientific_journal-2100	44	10	blocks	block	NOUN
american_scientific_journal-2100	44	11	.	.	PUNCT
american_scientific_journal-2100	45	1	3.3	3.3	NUM
american_scientific_journal-2100	45	2	.	.	PUNCT
american_scientific_journal-2100	46	1	the	the	DET
american_scientific_journal-2100	46	2	decryption	decryption	NOUN
american_scientific_journal-2100	46	3	procedure	procedure	NOUN
american_scientific_journal-2100	46	4	of	of	ADP
american_scientific_journal-2100	46	5	rsa	rsa	PROPN
american_scientific_journal-2100	46	6	cryptosystem	cryptosystem	NOUN
american_scientific_journal-2100	46	7	[	[	X
american_scientific_journal-2100	46	8	11	11	NUM
american_scientific_journal-2100	46	9	]	]	SYM
american_scientific_journal-2100	46	10	•	•	ADP
american_scientific_journal-2100	46	11	the	the	DET
american_scientific_journal-2100	46	12	receiver	receiver	NOUN
american_scientific_journal-2100	46	13	's	's	PART
american_scientific_journal-2100	46	14	private	private	ADJ
american_scientific_journal-2100	46	15	key	key	NOUN
american_scientific_journal-2100	46	16	(	(	PUNCT
american_scientific_journal-2100	46	17	s1	s1	NOUN
american_scientific_journal-2100	46	18	,	,	PUNCT
american_scientific_journal-2100	46	19	n	n	CCONJ
american_scientific_journal-2100	46	20	)	)	PUNCT
american_scientific_journal-2100	46	21	being	be	AUX
american_scientific_journal-2100	46	22	used	use	VERB
american_scientific_journal-2100	46	23	by	by	ADP
american_scientific_journal-2100	46	24	the	the	DET
american_scientific_journal-2100	46	25	receiver	receiver	NOUN
american_scientific_journal-2100	46	26	to	to	PART
american_scientific_journal-2100	46	27	decrypt	decrypt	VERB
american_scientific_journal-2100	46	28	y.	y.	PROPN
american_scientific_journal-2100	46	29	•	•	NOUN
american_scientific_journal-2100	46	30	d(y	d(y	NOUN
american_scientific_journal-2100	46	31	)	)	PUNCT
american_scientific_journal-2100	47	1	=	=	NOUN
american_scientific_journal-2100	47	2	m≡	m≡	NOUN
american_scientific_journal-2100	47	3	y𝒔𝒔𝟏𝟏	y𝒔𝒔𝟏𝟏	PRON
american_scientific_journal-2100	47	4	(	(	PUNCT
american_scientific_journal-2100	47	5	mod	mod	NOUN
american_scientific_journal-2100	47	6	n	n	CCONJ
american_scientific_journal-2100	47	7	)	)	PUNCT
american_scientific_journal-2100	47	8	is	be	AUX
american_scientific_journal-2100	47	9	computed	compute	VERB
american_scientific_journal-2100	47	10	on	on	ADP
american_scientific_journal-2100	47	11	every	every	DET
american_scientific_journal-2100	47	12	single	single	ADJ
american_scientific_journal-2100	47	13	block	block	NOUN
american_scientific_journal-2100	47	14	.	.	PUNCT
american_scientific_journal-2100	48	1	3.4	3.4	NUM
american_scientific_journal-2100	48	2	.	.	PUNCT
american_scientific_journal-2100	49	1	the	the	DET
american_scientific_journal-2100	49	2	security	security	NOUN
american_scientific_journal-2100	49	3	of	of	ADP
american_scientific_journal-2100	49	4	the	the	DET
american_scientific_journal-2100	49	5	rsa	rsa	PROPN
american_scientific_journal-2100	49	6	cryptosystem	cryptosystem	NOUN
american_scientific_journal-2100	49	7	[	[	X
american_scientific_journal-2100	49	8	11	11	NUM
american_scientific_journal-2100	49	9	]	]	PUNCT
american_scientific_journal-2100	49	10	the	the	DET
american_scientific_journal-2100	49	11	rsa	rsa	PROPN
american_scientific_journal-2100	49	12	cryptosystem	cryptosystem	NOUN
american_scientific_journal-2100	49	13	has	have	VERB
american_scientific_journal-2100	49	14	a	a	DET
american_scientific_journal-2100	49	15	very	very	ADV
american_scientific_journal-2100	49	16	good	good	ADJ
american_scientific_journal-2100	49	17	security	security	NOUN
american_scientific_journal-2100	49	18	,	,	PUNCT
american_scientific_journal-2100	49	19	because	because	SCONJ
american_scientific_journal-2100	49	20	its	its	PRON
american_scientific_journal-2100	49	21	security	security	NOUN
american_scientific_journal-2100	49	22	depends	depend	VERB
american_scientific_journal-2100	49	23	on	on	ADP
american_scientific_journal-2100	49	24	the	the	DET
american_scientific_journal-2100	49	25	computational	computational	ADJ
american_scientific_journal-2100	49	26	hardness	hardness	NOUN
american_scientific_journal-2100	49	27	of	of	ADP
american_scientific_journal-2100	49	28	factoring	factor	VERB
american_scientific_journal-2100	49	29	a	a	DET
american_scientific_journal-2100	49	30	large	large	ADJ
american_scientific_journal-2100	49	31	integer	integer	NOUN
american_scientific_journal-2100	49	32	.	.	PUNCT
american_scientific_journal-2100	50	1	however	however	ADV
american_scientific_journal-2100	50	2	,	,	PUNCT
american_scientific_journal-2100	50	3	for	for	ADP
american_scientific_journal-2100	50	4	rsa	rsa	PROPN
american_scientific_journal-2100	50	5	keys	key	NOUN
american_scientific_journal-2100	50	6	'	'	PART
american_scientific_journal-2100	50	7	size	size	NOUN
american_scientific_journal-2100	50	8	,	,	PUNCT
american_scientific_journal-2100	50	9	which	which	PRON
american_scientific_journal-2100	50	10	is	be	AUX
american_scientific_journal-2100	50	11	normally1024	normally1024	ADV
american_scientific_journal-2100	50	12	-	-	PUNCT
american_scientific_journal-2100	50	13	or	or	CCONJ
american_scientific_journal-2100	50	14	2048	2048	NUM
american_scientific_journal-2100	50	15	-	-	PUNCT
american_scientific_journal-2100	50	16	bits	bit	NOUN
american_scientific_journal-2100	50	17	long	long	ADV
american_scientific_journal-2100	50	18	,	,	PUNCT
american_scientific_journal-2100	50	19	cryptologists	cryptologist	NOUN
american_scientific_journal-2100	50	20	think	think	VERB
american_scientific_journal-2100	50	21	that	that	SCONJ
american_scientific_journal-2100	50	22	1024	1024	NUM
american_scientific_journal-2100	50	23	-	-	PUNCT
american_scientific_journal-2100	50	24	bit	bit	NOUN
american_scientific_journal-2100	50	25	keys	key	NOUN
american_scientific_journal-2100	50	26	might	might	AUX
american_scientific_journal-2100	50	27	be	be	AUX
american_scientific_journal-2100	50	28	hacked	hack	VERB
american_scientific_journal-2100	50	29	or	or	CCONJ
american_scientific_journal-2100	50	30	cracked	crack	VERB
american_scientific_journal-2100	50	31	easily	easily	ADV
american_scientific_journal-2100	50	32	in	in	ADP
american_scientific_journal-2100	50	33	future	future	NOUN
american_scientific_journal-2100	50	34	,	,	PUNCT
american_scientific_journal-2100	50	35	which	which	PRON
american_scientific_journal-2100	50	36	is	be	AUX
american_scientific_journal-2100	50	37	why	why	SCONJ
american_scientific_journal-2100	50	38	government	government	NOUN
american_scientific_journal-2100	50	39	has	have	AUX
american_scientific_journal-2100	50	40	been	be	AUX
american_scientific_journal-2100	50	41	trying	try	VERB
american_scientific_journal-2100	50	42	to	to	PART
american_scientific_journal-2100	50	43	minimize	minimize	VERB
american_scientific_journal-2100	50	44	the	the	DET
american_scientific_journal-2100	50	45	length	length	NOUN
american_scientific_journal-2100	50	46	of	of	ADP
american_scientific_journal-2100	50	47	the	the	DET
american_scientific_journal-2100	50	48	key	key	ADJ
american_scientific_journal-2100	50	49	length	length	NOUN
american_scientific_journal-2100	50	50	to	to	ADP
american_scientific_journal-2100	50	51	2048	2048	NUM
american_scientific_journal-2100	50	52	-	-	PUNCT
american_scientific_journal-2100	50	53	bits	bit	NOUN
american_scientific_journal-2100	50	54	.	.	PUNCT
american_scientific_journal-2100	51	1	many	many	ADJ
american_scientific_journal-2100	51	2	studies	study	NOUN
american_scientific_journal-2100	51	3	showed	show	VERB
american_scientific_journal-2100	51	4	that	that	SCONJ
american_scientific_journal-2100	51	5	it	it	PRON
american_scientific_journal-2100	51	6	is	be	AUX
american_scientific_journal-2100	51	7	not	not	PART
american_scientific_journal-2100	51	8	easy	easy	ADJ
american_scientific_journal-2100	51	9	to	to	PART
american_scientific_journal-2100	51	10	factor	factor	VERB
american_scientific_journal-2100	51	11	n	n	NOUN
american_scientific_journal-2100	51	12	if	if	SCONJ
american_scientific_journal-2100	51	13	n	n	PRON
american_scientific_journal-2100	51	14	is	be	AUX
american_scientific_journal-2100	51	15	a	a	DET
american_scientific_journal-2100	51	16	large	large	ADJ
american_scientific_journal-2100	51	17	number	number	NOUN
american_scientific_journal-2100	51	18	with	with	ADP
american_scientific_journal-2100	51	19	approximately	approximately	ADV
american_scientific_journal-2100	51	20	300	300	NUM
american_scientific_journal-2100	51	21	decimal	decimal	ADJ
american_scientific_journal-2100	51	22	digits	digit	NOUN
american_scientific_journal-2100	51	23	however	however	ADV
american_scientific_journal-2100	51	24	in	in	ADP
american_scientific_journal-2100	51	25	the	the	DET
american_scientific_journal-2100	51	26	computer	computer	NOUN
american_scientific_journal-2100	51	27	time	time	NOUN
american_scientific_journal-2100	51	28	millions	million	NOUN
american_scientific_journal-2100	51	29	of	of	ADP
american_scientific_journal-2100	51	30	years	year	NOUN
american_scientific_journal-2100	51	31	are	be	AUX
american_scientific_journal-2100	51	32	needed	need	VERB
american_scientific_journal-2100	51	33	to	to	PART
american_scientific_journal-2100	51	34	factor	factor	VERB
american_scientific_journal-2100	51	35	n	n	NOUN
american_scientific_journal-2100	51	36	using	use	VERB
american_scientific_journal-2100	51	37	the	the	DET
american_scientific_journal-2100	51	38	fastest	fast	ADJ
american_scientific_journal-2100	51	39	factorization	factorization	NOUN
american_scientific_journal-2100	51	40	[	[	X
american_scientific_journal-2100	51	41	12	12	NUM
american_scientific_journal-2100	51	42	]	]	PUNCT
american_scientific_journal-2100	51	43	.	.	PUNCT
american_scientific_journal-2100	52	1	3.5	3.5	NUM
american_scientific_journal-2100	52	2	.	.	PUNCT
american_scientific_journal-2100	53	1	an	an	DET
american_scientific_journal-2100	53	2	example	example	NOUN
american_scientific_journal-2100	53	3	of	of	ADP
american_scientific_journal-2100	53	4	rsa	rsa	PROPN
american_scientific_journal-2100	53	5	cryptosystem	cryptosystem	NOUN
american_scientific_journal-2100	53	6	suppose	suppose	VERB
american_scientific_journal-2100	53	7	that	that	SCONJ
american_scientific_journal-2100	53	8	ahmed	ahmed	PROPN
american_scientific_journal-2100	53	9	wants	want	VERB
american_scientific_journal-2100	53	10	to	to	PART
american_scientific_journal-2100	53	11	encrypt	encrypt	VERB
american_scientific_journal-2100	53	12	and	and	CCONJ
american_scientific_journal-2100	53	13	send	send	VERB
american_scientific_journal-2100	53	14	a	a	DET
american_scientific_journal-2100	53	15	matrix	matrix	NOUN
american_scientific_journal-2100	53	16	t	t	X
american_scientific_journal-2100	53	17	=	=	SYM
american_scientific_journal-2100	53	18	�	�	PROPN
american_scientific_journal-2100	53	19	20	20	NUM
american_scientific_journal-2100	53	20	02	02	NUM
american_scientific_journal-2100	53	21	08	08	NUM
american_scientific_journal-2100	53	22	25	25	NUM
american_scientific_journal-2100	53	23	05	05	NUM
american_scientific_journal-2100	53	24	11	11	NUM
american_scientific_journal-2100	53	25	04	04	NUM
american_scientific_journal-2100	53	26	28	28	NUM
american_scientific_journal-2100	53	27	11	11	NUM
american_scientific_journal-2100	53	28	06	06	NUM
american_scientific_journal-2100	53	29	22	22	NUM
american_scientific_journal-2100	53	30	12	12	NUM
american_scientific_journal-2100	53	31	09	09	NUM
american_scientific_journal-2100	53	32	23	23	NUM
american_scientific_journal-2100	53	33	08	08	NUM
american_scientific_journal-2100	53	34	10	10	NUM
american_scientific_journal-2100	53	35	�	�	PROPN
american_scientific_journal-2100	53	36	,	,	PUNCT
american_scientific_journal-2100	53	37	which	which	PRON
american_scientific_journal-2100	53	38	is	be	AUX
american_scientific_journal-2100	53	39	a	a	DET
american_scientific_journal-2100	53	40	partition	partition	NOUN
american_scientific_journal-2100	53	41	of	of	ADP
american_scientific_journal-2100	53	42	an	an	DET
american_scientific_journal-2100	53	43	image	image	NOUN
american_scientific_journal-2100	53	44	matrix	matrix	NOUN
american_scientific_journal-2100	53	45	,	,	PUNCT
american_scientific_journal-2100	53	46	to	to	ADP
american_scientific_journal-2100	53	47	mike	mike	PROPN
american_scientific_journal-2100	53	48	whose	whose	DET
american_scientific_journal-2100	53	49	public	public	ADJ
american_scientific_journal-2100	53	50	key	key	ADJ
american_scientific_journal-2100	53	51	and	and	CCONJ
american_scientific_journal-2100	53	52	private	private	ADJ
american_scientific_journal-2100	53	53	key	key	NOUN
american_scientific_journal-2100	53	54	are	be	AUX
american_scientific_journal-2100	53	55	(	(	PUNCT
american_scientific_journal-2100	53	56	𝑤𝑤1	𝑤𝑤1	ADJ
american_scientific_journal-2100	53	57	,	,	PUNCT
american_scientific_journal-2100	53	58	n	n	CCONJ
american_scientific_journal-2100	53	59	)	)	PUNCT
american_scientific_journal-2100	53	60	=	=	SYM
american_scientific_journal-2100	53	61	(	(	PUNCT
american_scientific_journal-2100	53	62	7	7	NUM
american_scientific_journal-2100	53	63	,	,	PUNCT
american_scientific_journal-2100	53	64	143	143	NUM
american_scientific_journal-2100	53	65	)	)	PUNCT
american_scientific_journal-2100	53	66	and	and	CCONJ
american_scientific_journal-2100	53	67	(	(	PUNCT
american_scientific_journal-2100	53	68	𝑠𝑠1	𝑠𝑠1	NOUN
american_scientific_journal-2100	53	69	,	,	PUNCT
american_scientific_journal-2100	53	70	𝑛𝑛)=	𝑛𝑛)=	NOUN
american_scientific_journal-2100	53	71	(	(	PUNCT
american_scientific_journal-2100	53	72	103	103	NUM
american_scientific_journal-2100	53	73	,	,	PUNCT
american_scientific_journal-2100	53	74	143	143	NUM
american_scientific_journal-2100	53	75	)	)	PUNCT
american_scientific_journal-2100	53	76	respectively	respectively	ADV
american_scientific_journal-2100	53	77	.	.	PUNCT
american_scientific_journal-2100	54	1	encryption	encryption	NOUN
american_scientific_journal-2100	54	2	procedure	procedure	NOUN
american_scientific_journal-2100	54	3	:	:	PUNCT
american_scientific_journal-2100	54	4	mike	mike	PROPN
american_scientific_journal-2100	54	5	's	's	PART
american_scientific_journal-2100	54	6	public	public	ADJ
american_scientific_journal-2100	54	7	key	key	NOUN
american_scientific_journal-2100	54	8	(	(	PUNCT
american_scientific_journal-2100	54	9	𝑤𝑤1	𝑤𝑤1	ADJ
american_scientific_journal-2100	54	10	,	,	PUNCT
american_scientific_journal-2100	54	11	n	n	CCONJ
american_scientific_journal-2100	54	12	)	)	PUNCT
american_scientific_journal-2100	54	13	=	=	SYM
american_scientific_journal-2100	54	14	(	(	PUNCT
american_scientific_journal-2100	54	15	7	7	NUM
american_scientific_journal-2100	54	16	,	,	PUNCT
american_scientific_journal-2100	54	17	143	143	NUM
american_scientific_journal-2100	54	18	)	)	PUNCT
american_scientific_journal-2100	54	19	is	be	AUX
american_scientific_journal-2100	54	20	used	use	VERB
american_scientific_journal-2100	54	21	by	by	ADP
american_scientific_journal-2100	54	22	ahmed	ahme	VERB
american_scientific_journal-2100	54	23	to	to	PART
american_scientific_journal-2100	54	24	encrypt	encrypt	VERB
american_scientific_journal-2100	54	25	the	the	DET
american_scientific_journal-2100	54	26	matrix	matrix	NOUN
american_scientific_journal-2100	54	27	𝑇𝑇	𝑇𝑇	PROPN
american_scientific_journal-2100	54	28	=	=	SYM
american_scientific_journal-2100	54	29	�	�	PROPN
american_scientific_journal-2100	54	30	20	20	NUM
american_scientific_journal-2100	54	31	02	02	NUM
american_scientific_journal-2100	54	32	08	08	NUM
american_scientific_journal-2100	54	33	25	25	NUM
american_scientific_journal-2100	54	34	05	05	NUM
american_scientific_journal-2100	54	35	11	11	NUM
american_scientific_journal-2100	54	36	04	04	NUM
american_scientific_journal-2100	54	37	28	28	NUM
american_scientific_journal-2100	54	38	11	11	NUM
american_scientific_journal-2100	54	39	06	06	NUM
american_scientific_journal-2100	54	40	22	22	NUM
american_scientific_journal-2100	54	41	12	12	NUM
american_scientific_journal-2100	54	42	09	09	NUM
american_scientific_journal-2100	54	43	23	23	NUM
american_scientific_journal-2100	54	44	08	08	NUM
american_scientific_journal-2100	54	45	10	10	NUM
american_scientific_journal-2100	54	46	�	�	NOUN
american_scientific_journal-2100	54	47	using	use	VERB
american_scientific_journal-2100	54	48	the	the	DET
american_scientific_journal-2100	54	49	encryption	encryption	NOUN
american_scientific_journal-2100	54	50	algorithm	algorithm	NOUN
american_scientific_journal-2100	54	51	as	as	ADP
american_scientific_journal-2100	54	52	the	the	DET
american_scientific_journal-2100	54	53	following	following	NOUN
american_scientific_journal-2100	54	54	;	;	PUNCT
american_scientific_journal-2100	54	55	american	american	ADJ
american_scientific_journal-2100	54	56	scientific	scientific	ADJ
american_scientific_journal-2100	54	57	research	research	NOUN
american_scientific_journal-2100	54	58	journal	journal	NOUN
american_scientific_journal-2100	54	59	for	for	ADP
american_scientific_journal-2100	54	60	engineering	engineering	NOUN
american_scientific_journal-2100	54	61	,	,	PUNCT
american_scientific_journal-2100	54	62	technology	technology	NOUN
american_scientific_journal-2100	54	63	,	,	PUNCT
american_scientific_journal-2100	54	64	and	and	CCONJ
american_scientific_journal-2100	54	65	sciences	science	NOUN
american_scientific_journal-2100	54	66	(	(	PUNCT
american_scientific_journal-2100	54	67	asrjets	asrjet	NOUN
american_scientific_journal-2100	54	68	)	)	PUNCT
american_scientific_journal-2100	54	69	(	(	PUNCT
american_scientific_journal-2100	54	70	2016	2016	NUM
american_scientific_journal-2100	54	71	)	)	PUNCT
american_scientific_journal-2100	54	72	volume	volume	NOUN
american_scientific_journal-2100	54	73	24	24	NUM
american_scientific_journal-2100	54	74	,	,	PUNCT
american_scientific_journal-2100	54	75	no	no	DET
american_scientific_journal-2100	54	76	1	1	NUM
american_scientific_journal-2100	54	77	,	,	PUNCT
american_scientific_journal-2100	54	78	pp	pp	ADV
american_scientific_journal-2100	54	79	270	270	NUM
american_scientific_journal-2100	54	80	-	-	SYM
american_scientific_journal-2100	54	81	279	279	NUM
american_scientific_journal-2100	54	82	273	273	NUM
american_scientific_journal-2100	54	83	•	•	NUM
american_scientific_journal-2100	54	84	e	e	X
american_scientific_journal-2100	54	85	(	(	PUNCT
american_scientific_journal-2100	54	86	t	t	NOUN
american_scientific_journal-2100	54	87	)	)	PUNCT
american_scientific_journal-2100	54	88	=	=	NOUN
american_scientific_journal-2100	54	89	y≡	y≡	X
american_scientific_journal-2100	54	90	𝑇𝑇𝑤𝑤1	𝑇𝑇𝑤𝑤1	NUM
american_scientific_journal-2100	54	91	(	(	PUNCT
american_scientific_journal-2100	54	92	mod	mod	PROPN
american_scientific_journal-2100	54	93	n	n	CCONJ
american_scientific_journal-2100	54	94	)	)	PUNCT
american_scientific_journal-2100	54	95	=	=	PUNCT
american_scientific_journal-2100	54	96	⎣	⎣	ADV
american_scientific_journal-2100	54	97	⎢	⎢	NOUN
american_scientific_journal-2100	54	98	⎢	⎢	NOUN
american_scientific_journal-2100	54	99	⎢	⎢	NOUN
american_scientific_journal-2100	54	100	⎡(20)7	⎡(20)7	NOUN
american_scientific_journal-2100	54	101	(	(	PUNCT
american_scientific_journal-2100	54	102	02)7	02)7	NUM
american_scientific_journal-2100	54	103	(	(	PUNCT
american_scientific_journal-2100	54	104	08)7	08)7	NUM
american_scientific_journal-2100	54	105	(	(	PUNCT
american_scientific_journal-2100	54	106	25)7	25)7	NUM
american_scientific_journal-2100	54	107	(	(	PUNCT
american_scientific_journal-2100	54	108	05)7	05)7	X
american_scientific_journal-2100	54	109	(	(	PUNCT
american_scientific_journal-2100	54	110	11)7	11)7	NUM
american_scientific_journal-2100	54	111	(	(	PUNCT
american_scientific_journal-2100	54	112	04)7	04)7	NUM
american_scientific_journal-2100	54	113	(	(	PUNCT
american_scientific_journal-2100	54	114	28)7	28)7	NUM
american_scientific_journal-2100	54	115	(	(	PUNCT
american_scientific_journal-2100	54	116	11)7	11)7	NUM
american_scientific_journal-2100	54	117	(	(	PUNCT
american_scientific_journal-2100	54	118	06)7	06)7	NUM
american_scientific_journal-2100	54	119	(	(	PUNCT
american_scientific_journal-2100	54	120	22)7	22)7	NUM
american_scientific_journal-2100	54	121	(	(	PUNCT
american_scientific_journal-2100	54	122	12)7	12)7	NUM
american_scientific_journal-2100	54	123	(	(	PUNCT
american_scientific_journal-2100	54	124	09)7	09)7	NUM
american_scientific_journal-2100	54	125	(	(	PUNCT
american_scientific_journal-2100	54	126	23)7	23)7	NUM
american_scientific_journal-2100	54	127	(	(	PUNCT
american_scientific_journal-2100	54	128	08)7	08)7	NUM
american_scientific_journal-2100	54	129	(	(	PUNCT
american_scientific_journal-2100	54	130	10)7	10)7	NUM
american_scientific_journal-2100	54	131	⎦	⎦	NOUN
american_scientific_journal-2100	54	132	⎥	⎥	PROPN
american_scientific_journal-2100	54	133	⎥	⎥	PROPN
american_scientific_journal-2100	54	134	⎥	⎥	PROPN
american_scientific_journal-2100	54	135	⎤	⎤	PROPN
american_scientific_journal-2100	54	136	(	(	PUNCT
american_scientific_journal-2100	54	137	mod	mod	PROPN
american_scientific_journal-2100	54	138	143	143	NUM
american_scientific_journal-2100	54	139	)	)	PUNCT
american_scientific_journal-2100	54	140	≡	≡	PROPN
american_scientific_journal-2100	54	141	�	�	PROPN
american_scientific_journal-2100	54	142	136	136	NUM
american_scientific_journal-2100	54	143	128	128	NUM
american_scientific_journal-2100	54	144	57	57	NUM
american_scientific_journal-2100	54	145	64	64	NUM
american_scientific_journal-2100	54	146	47	47	NUM
american_scientific_journal-2100	54	147	132	132	NUM
american_scientific_journal-2100	54	148	82	82	NUM
american_scientific_journal-2100	54	149	63	63	NUM
american_scientific_journal-2100	54	150	132	132	NUM
american_scientific_journal-2100	54	151	85	85	NUM
american_scientific_journal-2100	54	152	22	22	NUM
american_scientific_journal-2100	54	153	12	12	NUM
american_scientific_journal-2100	54	154	48	48	NUM
american_scientific_journal-2100	54	155	23	23	NUM
american_scientific_journal-2100	54	156	57	57	NUM
american_scientific_journal-2100	54	157	10	10	NUM
american_scientific_journal-2100	54	158	�	�	PROPN
american_scientific_journal-2100	54	159	.	.	PUNCT
american_scientific_journal-2100	54	160	•	•	NUM
american_scientific_journal-2100	55	1	the	the	DET
american_scientific_journal-2100	55	2	cipher	cipher	ADJ
american_scientific_journal-2100	55	3	matrix	matrix	NOUN
american_scientific_journal-2100	55	4	will	will	AUX
american_scientific_journal-2100	55	5	be	be	AUX
american_scientific_journal-2100	55	6	transmitted	transmit	VERB
american_scientific_journal-2100	55	7	to	to	ADP
american_scientific_journal-2100	55	8	mike	mike	PROPN
american_scientific_journal-2100	55	9	as	as	ADP
american_scientific_journal-2100	55	10	,	,	PUNCT
american_scientific_journal-2100	55	11	𝑌𝑌	𝑌𝑌	PROPN
american_scientific_journal-2100	55	12	=	=	SYM
american_scientific_journal-2100	55	13	�	�	PROPN
american_scientific_journal-2100	55	14	136	136	NUM
american_scientific_journal-2100	55	15	128	128	NUM
american_scientific_journal-2100	55	16	57	57	NUM
american_scientific_journal-2100	55	17	64	64	NUM
american_scientific_journal-2100	56	1	47	47	NUM
american_scientific_journal-2100	56	2	132	132	NUM
american_scientific_journal-2100	56	3	82	82	NUM
american_scientific_journal-2100	56	4	63	63	NUM
american_scientific_journal-2100	56	5	132	132	NUM
american_scientific_journal-2100	56	6	85	85	NUM
american_scientific_journal-2100	56	7	22	22	NUM
american_scientific_journal-2100	56	8	12	12	NUM
american_scientific_journal-2100	56	9	48	48	NUM
american_scientific_journal-2100	56	10	23	23	NUM
american_scientific_journal-2100	56	11	57	57	NUM
american_scientific_journal-2100	56	12	10	10	NUM
american_scientific_journal-2100	56	13	�	�	PROPN
american_scientific_journal-2100	56	14	.	.	PUNCT
american_scientific_journal-2100	56	15	decryption	decryption	NOUN
american_scientific_journal-2100	56	16	procedure	procedure	NOUN
american_scientific_journal-2100	56	17	:	:	PUNCT
american_scientific_journal-2100	56	18	mike	mike	PROPN
american_scientific_journal-2100	56	19	uses	use	VERB
american_scientific_journal-2100	56	20	his	his	PRON
american_scientific_journal-2100	56	21	private	private	ADJ
american_scientific_journal-2100	56	22	key	key	NOUN
american_scientific_journal-2100	56	23	(	(	PUNCT
american_scientific_journal-2100	56	24	𝑠𝑠1	𝑠𝑠1	NOUN
american_scientific_journal-2100	56	25	,	,	PUNCT
american_scientific_journal-2100	56	26	𝑛𝑛)=	𝑛𝑛)=	NOUN
american_scientific_journal-2100	56	27	(	(	PUNCT
american_scientific_journal-2100	56	28	103	103	NUM
american_scientific_journal-2100	56	29	,	,	PUNCT
american_scientific_journal-2100	56	30	143	143	NUM
american_scientific_journal-2100	56	31	)	)	PUNCT
american_scientific_journal-2100	56	32	to	to	PART
american_scientific_journal-2100	56	33	decrypt	decrypt	VERB
american_scientific_journal-2100	56	34	𝑌𝑌	𝑌𝑌	PROPN
american_scientific_journal-2100	56	35	using	use	VERB
american_scientific_journal-2100	56	36	the	the	DET
american_scientific_journal-2100	56	37	following	follow	VERB
american_scientific_journal-2100	56	38	decryption	decryption	NOUN
american_scientific_journal-2100	56	39	algorithm	algorithm	NOUN
american_scientific_journal-2100	56	40	;	;	PUNCT
american_scientific_journal-2100	56	41	d(y	d(y	PROPN
american_scientific_journal-2100	56	42	)	)	PUNCT
american_scientific_journal-2100	57	1	=	=	SYM
american_scientific_journal-2100	57	2	t	t	PROPN
american_scientific_journal-2100	57	3	≡	≡	PROPN
american_scientific_journal-2100	57	4	(	(	PUNCT
american_scientific_journal-2100	57	5	𝑌𝑌)𝑠𝑠1	𝑌𝑌)𝑠𝑠1	PROPN
american_scientific_journal-2100	57	6	(	(	PUNCT
american_scientific_journal-2100	57	7	mod	mod	PROPN
american_scientific_journal-2100	57	8	n	n	CCONJ
american_scientific_journal-2100	57	9	)	)	PUNCT
american_scientific_journal-2100	57	10	=	=	PUNCT
american_scientific_journal-2100	58	1	⎣	⎣	ADV
american_scientific_journal-2100	58	2	⎢	⎢	NOUN
american_scientific_journal-2100	58	3	⎢	⎢	NOUN
american_scientific_journal-2100	58	4	⎢	⎢	NOUN
american_scientific_journal-2100	58	5	⎡(136)103	⎡(136)103	X
american_scientific_journal-2100	58	6	(	(	PUNCT
american_scientific_journal-2100	58	7	128)103	128)103	NUM
american_scientific_journal-2100	58	8	(	(	PUNCT
american_scientific_journal-2100	58	9	57)103	57)103	NUM
american_scientific_journal-2100	58	10	(	(	PUNCT
american_scientific_journal-2100	58	11	64)103	64)103	NUM
american_scientific_journal-2100	58	12	(	(	PUNCT
american_scientific_journal-2100	58	13	47)103	47)103	NUM
american_scientific_journal-2100	58	14	(	(	PUNCT
american_scientific_journal-2100	58	15	132)103	132)103	NUM
american_scientific_journal-2100	58	16	(	(	PUNCT
american_scientific_journal-2100	58	17	82)103	82)103	NUM
american_scientific_journal-2100	58	18	(	(	PUNCT
american_scientific_journal-2100	58	19	63)103	63)103	NUM
american_scientific_journal-2100	58	20	(	(	PUNCT
american_scientific_journal-2100	58	21	132)103	132)103	NUM
american_scientific_journal-2100	58	22	(	(	PUNCT
american_scientific_journal-2100	58	23	85)103	85)103	NUM
american_scientific_journal-2100	58	24	(	(	PUNCT
american_scientific_journal-2100	58	25	22)103	22)103	NUM
american_scientific_journal-2100	58	26	(	(	PUNCT
american_scientific_journal-2100	58	27	12)103	12)103	NUM
american_scientific_journal-2100	58	28	(	(	PUNCT
american_scientific_journal-2100	58	29	48)103	48)103	NUM
american_scientific_journal-2100	58	30	(	(	PUNCT
american_scientific_journal-2100	58	31	23)103	23)103	NUM
american_scientific_journal-2100	58	32	(	(	PUNCT
american_scientific_journal-2100	58	33	57)103	57)103	NUM
american_scientific_journal-2100	58	34	(	(	PUNCT
american_scientific_journal-2100	58	35	10)103⎦	10)103⎦	NUM
american_scientific_journal-2100	58	36	⎥	⎥	PROPN
american_scientific_journal-2100	58	37	⎥	⎥	PROPN
american_scientific_journal-2100	58	38	⎥	⎥	PROPN
american_scientific_journal-2100	58	39	⎤	⎤	PROPN
american_scientific_journal-2100	58	40	(	(	PUNCT
american_scientific_journal-2100	58	41	mod	mod	PROPN
american_scientific_journal-2100	58	42	143	143	NUM
american_scientific_journal-2100	58	43	)	)	PUNCT
american_scientific_journal-2100	58	44	≡	≡	PROPN
american_scientific_journal-2100	58	45	�	�	PROPN
american_scientific_journal-2100	58	46	20	20	NUM
american_scientific_journal-2100	58	47	02	02	NUM
american_scientific_journal-2100	58	48	08	08	NUM
american_scientific_journal-2100	58	49	25	25	NUM
american_scientific_journal-2100	59	1	05	05	NUM
american_scientific_journal-2100	59	2	11	11	NUM
american_scientific_journal-2100	59	3	04	04	NUM
american_scientific_journal-2100	59	4	28	28	NUM
american_scientific_journal-2100	59	5	11	11	NUM
american_scientific_journal-2100	59	6	06	06	NUM
american_scientific_journal-2100	59	7	22	22	NUM
american_scientific_journal-2100	59	8	12	12	NUM
american_scientific_journal-2100	59	9	09	09	NUM
american_scientific_journal-2100	59	10	23	23	NUM
american_scientific_journal-2100	59	11	08	08	NUM
american_scientific_journal-2100	59	12	10	10	NUM
american_scientific_journal-2100	59	13	�	�	PROPN
american_scientific_journal-2100	59	14	.	.	PUNCT
american_scientific_journal-2100	60	1	4	4	NUM
american_scientific_journal-2100	60	2	.	.	X
american_scientific_journal-2100	61	1	the	the	DET
american_scientific_journal-2100	61	2	new	new	ADJ
american_scientific_journal-2100	61	3	proposed	propose	VERB
american_scientific_journal-2100	61	4	modification	modification	NOUN
american_scientific_journal-2100	61	5	this	this	DET
american_scientific_journal-2100	61	6	modification	modification	NOUN
american_scientific_journal-2100	61	7	increases	increase	VERB
american_scientific_journal-2100	61	8	the	the	DET
american_scientific_journal-2100	61	9	confidence	confidence	NOUN
american_scientific_journal-2100	61	10	of	of	ADP
american_scientific_journal-2100	61	11	using	use	VERB
american_scientific_journal-2100	61	12	the	the	DET
american_scientific_journal-2100	61	13	asymmetric	asymmetric	ADJ
american_scientific_journal-2100	61	14	cryptography	cryptography	NOUN
american_scientific_journal-2100	61	15	,	,	PUNCT
american_scientific_journal-2100	61	16	rsa	rsa	NOUN
american_scientific_journal-2100	61	17	cryptosystem	cryptosystem	NOUN
american_scientific_journal-2100	61	18	,	,	PUNCT
american_scientific_journal-2100	61	19	since	since	SCONJ
american_scientific_journal-2100	61	20	it	it	PRON
american_scientific_journal-2100	61	21	increases	increase	VERB
american_scientific_journal-2100	61	22	its	its	PRON
american_scientific_journal-2100	61	23	security	security	NOUN
american_scientific_journal-2100	61	24	to	to	PART
american_scientific_journal-2100	61	25	be	be	AUX
american_scientific_journal-2100	61	26	with	with	ADP
american_scientific_journal-2100	61	27	a	a	DET
american_scientific_journal-2100	61	28	very	very	ADV
american_scientific_journal-2100	61	29	high	high	ADJ
american_scientific_journal-2100	61	30	secrecy	secrecy	NOUN
american_scientific_journal-2100	61	31	.	.	PUNCT
american_scientific_journal-2100	62	1	increasing	increase	VERB
american_scientific_journal-2100	62	2	the	the	DET
american_scientific_journal-2100	62	3	number	number	NOUN
american_scientific_journal-2100	62	4	of	of	ADP
american_scientific_journal-2100	62	5	the	the	DET
american_scientific_journal-2100	62	6	private	private	ADJ
american_scientific_journal-2100	62	7	keys	key	NOUN
american_scientific_journal-2100	62	8	to	to	ADP
american_scientific_journal-2100	62	9	"	"	PUNCT
american_scientific_journal-2100	62	10	k	k	ADJ
american_scientific_journal-2100	62	11	"	"	PUNCT
american_scientific_journal-2100	62	12	private	private	ADJ
american_scientific_journal-2100	62	13	keys	key	NOUN
american_scientific_journal-2100	62	14	,	,	PUNCT
american_scientific_journal-2100	62	15	this	this	PRON
american_scientific_journal-2100	62	16	what	what	PRON
american_scientific_journal-2100	62	17	this	this	DET
american_scientific_journal-2100	62	18	modification	modification	NOUN
american_scientific_journal-2100	62	19	has	have	AUX
american_scientific_journal-2100	62	20	focused	focus	VERB
american_scientific_journal-2100	62	21	on	on	ADP
american_scientific_journal-2100	62	22	.	.	PUNCT
american_scientific_journal-2100	63	1	in	in	ADP
american_scientific_journal-2100	63	2	this	this	DET
american_scientific_journal-2100	63	3	paper	paper	NOUN
american_scientific_journal-2100	63	4	,	,	PUNCT
american_scientific_journal-2100	63	5	this	this	DET
american_scientific_journal-2100	63	6	modification	modification	NOUN
american_scientific_journal-2100	63	7	is	be	AUX
american_scientific_journal-2100	63	8	being	be	AUX
american_scientific_journal-2100	63	9	applied	apply	VERB
american_scientific_journal-2100	63	10	over	over	ADP
american_scientific_journal-2100	63	11	matrices	matrix	NOUN
american_scientific_journal-2100	63	12	,	,	PUNCT
american_scientific_journal-2100	63	13	and	and	CCONJ
american_scientific_journal-2100	63	14	it	it	PRON
american_scientific_journal-2100	63	15	can	can	AUX
american_scientific_journal-2100	63	16	be	be	AUX
american_scientific_journal-2100	63	17	applied	apply	VERB
american_scientific_journal-2100	63	18	over	over	ADP
american_scientific_journal-2100	63	19	gray	gray	ADJ
american_scientific_journal-2100	63	20	and	and	CCONJ
american_scientific_journal-2100	63	21	color	color	NOUN
american_scientific_journal-2100	63	22	images	image	NOUN
american_scientific_journal-2100	63	23	.	.	PUNCT
american_scientific_journal-2100	64	1	4.1	4.1	NUM
american_scientific_journal-2100	64	2	.	.	PUNCT
american_scientific_journal-2100	65	1	the	the	DET
american_scientific_journal-2100	65	2	key	key	ADJ
american_scientific_journal-2100	65	3	generation	generation	NOUN
american_scientific_journal-2100	65	4	of	of	ADP
american_scientific_journal-2100	65	5	this	this	DET
american_scientific_journal-2100	65	6	modification	modification	NOUN
american_scientific_journal-2100	65	7	•	•	NOUN
american_scientific_journal-2100	65	8	two	two	NUM
american_scientific_journal-2100	65	9	very	very	ADV
american_scientific_journal-2100	65	10	large	large	ADJ
american_scientific_journal-2100	65	11	prime	prime	ADJ
american_scientific_journal-2100	65	12	numbers	number	NOUN
american_scientific_journal-2100	65	13	p	p	PROPN
american_scientific_journal-2100	65	14	&	&	CCONJ
american_scientific_journal-2100	65	15	q	q	PROPN
american_scientific_journal-2100	65	16	are	be	AUX
american_scientific_journal-2100	65	17	selected	select	VERB
american_scientific_journal-2100	65	18	by	by	ADP
american_scientific_journal-2100	65	19	rsa	rsa	PROPN
american_scientific_journal-2100	65	20	's	's	PART
american_scientific_journal-2100	65	21	user	user	NOUN
american_scientific_journal-2100	65	22	to	to	ADP
american_scientific_journal-2100	65	23	from	from	ADP
american_scientific_journal-2100	65	24	n	n	CCONJ
american_scientific_journal-2100	65	25	=	=	SYM
american_scientific_journal-2100	65	26	pq	pq	NOUN
american_scientific_journal-2100	65	27	.	.	NOUN
american_scientific_journal-2100	65	28	•	•	NOUN
american_scientific_journal-2100	65	29	everyone	everyone	PRON
american_scientific_journal-2100	65	30	computes	compute	VERB
american_scientific_journal-2100	65	31	φ(n	φ(n	NOUN
american_scientific_journal-2100	65	32	)	)	PUNCT
american_scientific_journal-2100	65	33	;	;	PUNCT
american_scientific_journal-2100	65	34	φ(n	φ(n	X
american_scientific_journal-2100	65	35	)	)	PUNCT
american_scientific_journal-2100	65	36	=	=	SYM
american_scientific_journal-2100	65	37	φ	φ	PROPN
american_scientific_journal-2100	65	38	(	(	PUNCT
american_scientific_journal-2100	65	39	pq	pq	NOUN
american_scientific_journal-2100	65	40	)	)	PUNCT
american_scientific_journal-2100	65	41	=(	=(	NOUN
american_scientific_journal-2100	65	42	p-1)(q-1	p-1)(q-1	PROPN
american_scientific_journal-2100	65	43	)	)	PUNCT
american_scientific_journal-2100	65	44	.	.	PUNCT
american_scientific_journal-2100	66	1	•	•	NUM
american_scientific_journal-2100	66	2	choose	choose	VERB
american_scientific_journal-2100	66	3	a	a	DET
american_scientific_journal-2100	66	4	positive	positive	ADJ
american_scientific_journal-2100	66	5	integer	integer	NOUN
american_scientific_journal-2100	66	6	k	k	PROPN
american_scientific_journal-2100	66	7	such	such	ADJ
american_scientific_journal-2100	66	8	that	that	DET
american_scientific_journal-2100	66	9	𝑤𝑤1	𝑤𝑤1	NOUN
american_scientific_journal-2100	66	10	,	,	PUNCT
american_scientific_journal-2100	66	11	𝑤𝑤2	𝑤𝑤2	NOUN
american_scientific_journal-2100	66	12	,	,	PUNCT
american_scientific_journal-2100	66	13	𝑤𝑤3	𝑤𝑤3	ADJ
american_scientific_journal-2100	66	14	,	,	PUNCT
american_scientific_journal-2100	66	15	…	…	PUNCT
american_scientific_journal-2100	66	16	,	,	PUNCT
american_scientific_journal-2100	66	17	𝑤𝑤𝑘𝑘	𝑤𝑤𝑘𝑘	NOUN
american_scientific_journal-2100	66	18	&	&	CCONJ
american_scientific_journal-2100	66	19	𝑠𝑠1	𝑠𝑠1	PROPN
american_scientific_journal-2100	66	20	,	,	PUNCT
american_scientific_journal-2100	66	21	𝑠𝑠2	𝑠𝑠2	PROPN
american_scientific_journal-2100	66	22	,	,	PUNCT
american_scientific_journal-2100	66	23	𝑠𝑠3	𝑠𝑠3	X
american_scientific_journal-2100	66	24	,	,	PUNCT
american_scientific_journal-2100	66	25	…	…	PUNCT
american_scientific_journal-2100	66	26	,	,	PUNCT
american_scientific_journal-2100	66	27	𝑠𝑠𝑘𝑘	𝑠𝑠𝑘𝑘	NOUN
american_scientific_journal-2100	66	28	are	be	AUX
american_scientific_journal-2100	66	29	chosen	choose	VERB
american_scientific_journal-2100	66	30	such	such	ADJ
american_scientific_journal-2100	66	31	that	that	DET
american_scientific_journal-2100	66	32	𝑠𝑠ℎ	𝑠𝑠ℎ	ADV
american_scientific_journal-2100	66	33	is	be	AUX
american_scientific_journal-2100	66	34	an	an	DET
american_scientific_journal-2100	66	35	inverse	inverse	NOUN
american_scientific_journal-2100	66	36	of	of	ADP
american_scientific_journal-2100	66	37	𝑤𝑤ℎ	𝑤𝑤ℎ	PROPN
american_scientific_journal-2100	66	38	modulo	modulo	PROPN
american_scientific_journal-2100	66	39	φ	φ	PROPN
american_scientific_journal-2100	66	40	(	(	PUNCT
american_scientific_journal-2100	66	41	n	n	CCONJ
american_scientific_journal-2100	66	42	)	)	PUNCT
american_scientific_journal-2100	66	43	with	with	ADP
american_scientific_journal-2100	66	44	1	1	NUM
american_scientific_journal-2100	66	45	<	<	X
american_scientific_journal-2100	66	46	𝑤𝑤ℎ	𝑤𝑤ℎ	NOUN
american_scientific_journal-2100	66	47	,	,	PUNCT
american_scientific_journal-2100	66	48	𝑠𝑠ℎ	𝑠𝑠ℎ	ADV
american_scientific_journal-2100	66	49	<	<	X
american_scientific_journal-2100	66	50	φ	φ	X
american_scientific_journal-2100	66	51	(	(	PUNCT
american_scientific_journal-2100	66	52	n	n	CCONJ
american_scientific_journal-2100	66	53	)	)	PUNCT
american_scientific_journal-2100	66	54	,	,	PUNCT
american_scientific_journal-2100	66	55	gcd(𝑤𝑤ℎ	gcd(𝑤𝑤ℎ	NOUN
american_scientific_journal-2100	66	56	,	,	PUNCT
american_scientific_journal-2100	66	57	φ	φ	PROPN
american_scientific_journal-2100	66	58	(	(	PUNCT
american_scientific_journal-2100	66	59	n	n	CCONJ
american_scientific_journal-2100	66	60	)	)	PUNCT
american_scientific_journal-2100	66	61	)	)	PUNCT
american_scientific_journal-2100	67	1	=	=	SYM
american_scientific_journal-2100	67	2	1	1	NUM
american_scientific_journal-2100	67	3	,	,	PUNCT
american_scientific_journal-2100	67	4	for	for	ADP
american_scientific_journal-2100	67	5	1≤	1≤	NUM
american_scientific_journal-2100	67	6	ℎ	ℎ	PROPN
american_scientific_journal-2100	67	7	≤	≤	PROPN
american_scientific_journal-2100	67	8	k.	k.	PROPN
american_scientific_journal-2100	67	9	•	•	NOUN
american_scientific_journal-2100	67	10	(	(	PUNCT
american_scientific_journal-2100	67	11	𝑤𝑤1,𝑤𝑤2	𝑤𝑤1,𝑤𝑤2	NOUN
american_scientific_journal-2100	67	12	,	,	PUNCT
american_scientific_journal-2100	67	13	𝑤𝑤3	𝑤𝑤3	ADJ
american_scientific_journal-2100	67	14	,	,	PUNCT
american_scientific_journal-2100	67	15	…	…	PUNCT
american_scientific_journal-2100	67	16	,	,	PUNCT
american_scientific_journal-2100	67	17	𝑤𝑤𝑘𝑘	𝑤𝑤𝑘𝑘	NOUN
american_scientific_journal-2100	67	18	,	,	PUNCT
american_scientific_journal-2100	67	19	n	n	CCONJ
american_scientific_journal-2100	67	20	)	)	PUNCT
american_scientific_journal-2100	67	21	will	will	AUX
american_scientific_journal-2100	67	22	be	be	AUX
american_scientific_journal-2100	67	23	announced	announce	VERB
american_scientific_journal-2100	67	24	as	as	ADP
american_scientific_journal-2100	67	25	the	the	DET
american_scientific_journal-2100	67	26	public	public	ADJ
american_scientific_journal-2100	67	27	key	key	NOUN
american_scientific_journal-2100	67	28	,	,	PUNCT
american_scientific_journal-2100	67	29	and	and	CCONJ
american_scientific_journal-2100	67	30	(	(	PUNCT
american_scientific_journal-2100	67	31	𝑠𝑠1	𝑠𝑠1	NOUN
american_scientific_journal-2100	67	32	,	,	PUNCT
american_scientific_journal-2100	67	33	𝑠𝑠2	𝑠𝑠2	NOUN
american_scientific_journal-2100	67	34	,	,	PUNCT
american_scientific_journal-2100	67	35	𝑠𝑠3	𝑠𝑠3	X
american_scientific_journal-2100	67	36	,	,	PUNCT
american_scientific_journal-2100	67	37	…	…	PUNCT
american_scientific_journal-2100	67	38	,	,	PUNCT
american_scientific_journal-2100	67	39	𝑠𝑠𝑘𝑘	𝑠𝑠𝑘𝑘	NOUN
american_scientific_journal-2100	67	40	,	,	PUNCT
american_scientific_journal-2100	67	41	n	n	CCONJ
american_scientific_journal-2100	67	42	)	)	PUNCT
american_scientific_journal-2100	67	43	must	must	AUX
american_scientific_journal-2100	67	44	be	be	AUX
american_scientific_journal-2100	67	45	kept	keep	VERB
american_scientific_journal-2100	67	46	secret	secret	ADJ
american_scientific_journal-2100	67	47	as	as	ADP
american_scientific_journal-2100	67	48	the	the	DET
american_scientific_journal-2100	67	49	corresponding	corresponding	ADJ
american_scientific_journal-2100	67	50	private	private	ADJ
american_scientific_journal-2100	67	51	key	key	NOUN
american_scientific_journal-2100	67	52	.	.	PUNCT
american_scientific_journal-2100	68	1	american	american	ADJ
american_scientific_journal-2100	68	2	scientific	scientific	ADJ
american_scientific_journal-2100	68	3	research	research	PROPN
american_scientific_journal-2100	68	4	journal	journal	NOUN
american_scientific_journal-2100	68	5	for	for	ADP
american_scientific_journal-2100	68	6	engineering	engineering	NOUN
american_scientific_journal-2100	68	7	,	,	PUNCT
american_scientific_journal-2100	68	8	technology	technology	NOUN
american_scientific_journal-2100	68	9	,	,	PUNCT
american_scientific_journal-2100	68	10	and	and	CCONJ
american_scientific_journal-2100	68	11	sciences	science	NOUN
american_scientific_journal-2100	68	12	(	(	PUNCT
american_scientific_journal-2100	68	13	asrjets	asrjet	NOUN
american_scientific_journal-2100	68	14	)	)	PUNCT
american_scientific_journal-2100	68	15	(	(	PUNCT
american_scientific_journal-2100	68	16	2016	2016	NUM
american_scientific_journal-2100	68	17	)	)	PUNCT
american_scientific_journal-2100	68	18	volume	volume	NOUN
american_scientific_journal-2100	68	19	24	24	NUM
american_scientific_journal-2100	68	20	,	,	PUNCT
american_scientific_journal-2100	68	21	no	no	DET
american_scientific_journal-2100	68	22	1	1	NUM
american_scientific_journal-2100	68	23	,	,	PUNCT
american_scientific_journal-2100	68	24	pp	pp	ADV
american_scientific_journal-2100	68	25	270	270	NUM
american_scientific_journal-2100	68	26	-	-	SYM
american_scientific_journal-2100	68	27	279	279	NUM
american_scientific_journal-2100	68	28	274	274	NUM
american_scientific_journal-2100	68	29	4.2	4.2	NUM
american_scientific_journal-2100	68	30	.	.	PUNCT
american_scientific_journal-2100	69	1	the	the	DET
american_scientific_journal-2100	69	2	encryption	encryption	NOUN
american_scientific_journal-2100	69	3	procedure	procedure	NOUN
american_scientific_journal-2100	69	4	of	of	ADP
american_scientific_journal-2100	69	5	this	this	DET
american_scientific_journal-2100	69	6	modification	modification	NOUN
american_scientific_journal-2100	69	7	•	•	ADP
american_scientific_journal-2100	69	8	the	the	DET
american_scientific_journal-2100	69	9	announced	announce	VERB
american_scientific_journal-2100	69	10	receiver	receiver	NOUN
american_scientific_journal-2100	69	11	's	's	PART
american_scientific_journal-2100	69	12	public	public	ADJ
american_scientific_journal-2100	69	13	key	key	NOUN
american_scientific_journal-2100	69	14	(	(	PUNCT
american_scientific_journal-2100	69	15	𝒘𝒘𝟏𝟏,𝒘𝒘𝟐𝟐,𝒘𝒘𝟑𝟑	𝒘𝒘𝟏𝟏,𝒘𝒘𝟐𝟐,𝒘𝒘𝟑𝟑	PROPN
american_scientific_journal-2100	69	16	,	,	PUNCT
american_scientific_journal-2100	69	17	…	…	PUNCT
american_scientific_journal-2100	69	18	,	,	PUNCT
american_scientific_journal-2100	69	19	𝒘𝒘𝒌𝒌	𝒘𝒘𝒌𝒌	NOUN
american_scientific_journal-2100	69	20	,	,	PUNCT
american_scientific_journal-2100	69	21	n	n	CCONJ
american_scientific_journal-2100	69	22	)	)	PUNCT
american_scientific_journal-2100	69	23	being	be	AUX
american_scientific_journal-2100	69	24	used	use	VERB
american_scientific_journal-2100	69	25	by	by	ADP
american_scientific_journal-2100	69	26	a	a	DET
american_scientific_journal-2100	69	27	sender	sender	NOUN
american_scientific_journal-2100	69	28	to	to	PART
american_scientific_journal-2100	69	29	encrypt	encrypt	VERB
american_scientific_journal-2100	69	30	a	a	DET
american_scientific_journal-2100	69	31	plain	plain	ADJ
american_scientific_journal-2100	69	32	matrix	matrix	NOUN
american_scientific_journal-2100	69	33	𝑻𝑻𝒊𝒊𝒊𝒊	𝑻𝑻𝒊𝒊𝒊𝒊	PROPN
american_scientific_journal-2100	69	34	=	=	PUNCT
american_scientific_journal-2100	69	35	�	�	PROPN
american_scientific_journal-2100	69	36	𝒕𝒕𝟏𝟏𝟏𝟏	𝒕𝒕𝟏𝟏𝟏𝟏	NOUN
american_scientific_journal-2100	69	37	𝒕𝒕𝟏𝟏𝟐𝟐	𝒕𝒕𝟏𝟏𝟐𝟐	NOUN
american_scientific_journal-2100	69	38	…	…	PUNCT
american_scientific_journal-2100	69	39	𝒕𝒕𝟏𝟏𝒊𝒊	𝒕𝒕𝟏𝟏𝒊𝒊	VERB
american_scientific_journal-2100	69	40	𝒕𝒕𝟐𝟐𝟏𝟏	𝒕𝒕𝟐𝟐𝟏𝟏	ADJ
american_scientific_journal-2100	69	41	⋮	⋮	NOUN
american_scientific_journal-2100	69	42	𝒕𝒕𝟐𝟐𝟐𝟐	𝒕𝒕𝟐𝟐𝟐𝟐	PROPN
american_scientific_journal-2100	69	43	⋮	⋮	NOUN
american_scientific_journal-2100	69	44	…	…	PUNCT
american_scientific_journal-2100	69	45	⋮	⋮	NOUN
american_scientific_journal-2100	69	46	𝒕𝒕𝟐𝟐𝒊𝒊	𝒕𝒕𝟐𝟐𝒊𝒊	NOUN
american_scientific_journal-2100	69	47	⋮	⋮	PROPN
american_scientific_journal-2100	69	48	𝒕𝒕𝒊𝒊𝟏𝟏	𝒕𝒕𝒊𝒊𝟏𝟏	PROPN
american_scientific_journal-2100	69	49	𝒕𝒕𝒊𝒊𝟐𝟐	𝒕𝒕𝒊𝒊𝟐𝟐	PROPN
american_scientific_journal-2100	69	50	…	…	PUNCT
american_scientific_journal-2100	69	51	𝒕𝒕𝒊𝒊𝒊𝒊	𝒕𝒕𝒊𝒊𝒊𝒊	PROPN
american_scientific_journal-2100	69	52	�	�	PROPN
american_scientific_journal-2100	69	53	.	.	PROPN
american_scientific_journal-2100	69	54	•	•	NUM
american_scientific_journal-2100	69	55	𝑤𝑤1	𝑤𝑤1	NOUN
american_scientific_journal-2100	69	56	,	,	PUNCT
american_scientific_journal-2100	69	57	𝑤𝑤2	𝑤𝑤2	NOUN
american_scientific_journal-2100	69	58	,	,	PUNCT
american_scientific_journal-2100	69	59	𝑤𝑤3	𝑤𝑤3	ADJ
american_scientific_journal-2100	69	60	,	,	PUNCT
american_scientific_journal-2100	69	61	…	…	PUNCT
american_scientific_journal-2100	69	62	,	,	PUNCT
american_scientific_journal-2100	69	63	𝑤𝑤𝑘𝑘	𝑤𝑤𝑘𝑘	NOUN
american_scientific_journal-2100	69	64	should	should	AUX
american_scientific_journal-2100	69	65	be	be	AUX
american_scientific_journal-2100	69	66	formed	form	VERB
american_scientific_journal-2100	69	67	in	in	ADP
american_scientific_journal-2100	69	68	the	the	DET
american_scientific_journal-2100	69	69	encryption	encryption	NOUN
american_scientific_journal-2100	69	70	key	key	NOUN
american_scientific_journal-2100	69	71	matrix	matrix	NOUN
american_scientific_journal-2100	69	72	𝑊𝑊𝑖𝑖𝑖𝑖	𝑊𝑊𝑖𝑖𝑖𝑖	PROPN
american_scientific_journal-2100	69	73	such	such	ADJ
american_scientific_journal-2100	69	74	that	that	SCONJ
american_scientific_journal-2100	69	75	𝑊𝑊𝑖𝑖𝑖𝑖	𝑊𝑊𝑖𝑖𝑖𝑖	PROPN
american_scientific_journal-2100	69	76	has	have	VERB
american_scientific_journal-2100	69	77	the	the	DET
american_scientific_journal-2100	69	78	same	same	ADJ
american_scientific_journal-2100	69	79	size	size	NOUN
american_scientific_journal-2100	69	80	of	of	ADP
american_scientific_journal-2100	69	81	the	the	DET
american_scientific_journal-2100	69	82	plain	plain	ADJ
american_scientific_journal-2100	69	83	matrix	matrix	NOUN
american_scientific_journal-2100	69	84	𝑇𝑇𝑖𝑖𝑖𝑖	𝑇𝑇𝑖𝑖𝑖𝑖	PROPN
american_scientific_journal-2100	69	85	,	,	PUNCT
american_scientific_journal-2100	69	86	and	and	CCONJ
american_scientific_journal-2100	69	87	𝑤𝑤1,𝑤𝑤2	𝑤𝑤1,𝑤𝑤2	NOUN
american_scientific_journal-2100	69	88	,	,	PUNCT
american_scientific_journal-2100	69	89	𝑤𝑤3	𝑤𝑤3	ADJ
american_scientific_journal-2100	69	90	,	,	PUNCT
american_scientific_journal-2100	69	91	…	…	PUNCT
american_scientific_journal-2100	69	92	,	,	PUNCT
american_scientific_journal-2100	69	93	𝑤𝑤𝑘𝑘	𝑤𝑤𝑘𝑘	NOUN
american_scientific_journal-2100	69	94	should	should	AUX
american_scientific_journal-2100	69	95	be	be	AUX
american_scientific_journal-2100	69	96	organized	organize	VERB
american_scientific_journal-2100	69	97	respectively	respectively	ADV
american_scientific_journal-2100	69	98	in	in	ADP
american_scientific_journal-2100	69	99	columns	column	NOUN
american_scientific_journal-2100	69	100	so	so	SCONJ
american_scientific_journal-2100	69	101	that	that	SCONJ
american_scientific_journal-2100	69	102	(	(	PUNCT
american_scientific_journal-2100	69	103	k	k	X
american_scientific_journal-2100	69	104	=	=	NOUN
american_scientific_journal-2100	69	105	i*j	i*j	PRON
american_scientific_journal-2100	69	106	)	)	PUNCT
american_scientific_journal-2100	69	107	,	,	PUNCT
american_scientific_journal-2100	69	108	which	which	PRON
american_scientific_journal-2100	69	109	as	as	ADP
american_scientific_journal-2100	69	110	the	the	DET
american_scientific_journal-2100	69	111	following	following	NOUN
american_scientific_journal-2100	69	112	;	;	PUNCT
american_scientific_journal-2100	69	113	𝑊𝑊𝑖𝑖𝑖𝑖	𝑊𝑊𝑖𝑖𝑖𝑖	PROPN
american_scientific_journal-2100	69	114	=	=	SYM
american_scientific_journal-2100	69	115	�	�	PROPN
american_scientific_journal-2100	69	116	𝑤𝑤1	𝑤𝑤1	X
american_scientific_journal-2100	69	117	𝑤𝑤2	𝑤𝑤2	NOUN
american_scientific_journal-2100	69	118	…	…	PUNCT
american_scientific_journal-2100	69	119	𝑤𝑤𝑖𝑖	𝑤𝑤𝑖𝑖	NOUN
american_scientific_journal-2100	69	120	𝑤𝑤𝑖𝑖+1	𝑤𝑤𝑖𝑖+1	PROPN
american_scientific_journal-2100	69	121	⋮	⋮	ADJ
american_scientific_journal-2100	69	122	𝑤𝑤𝑖𝑖+2	𝑤𝑤𝑖𝑖+2	ADJ
american_scientific_journal-2100	69	123	⋮	⋮	NOUN
american_scientific_journal-2100	69	124	…	…	PUNCT
american_scientific_journal-2100	69	125	⋮	⋮	NOUN
american_scientific_journal-2100	69	126	𝑤𝑤2∗𝑖𝑖	𝑤𝑤2∗𝑖𝑖	NOUN
american_scientific_journal-2100	69	127	⋮	⋮	NOUN
american_scientific_journal-2100	69	128	𝑤𝑤(𝑖𝑖−1)∗𝑖𝑖+1	𝑤𝑤(𝑖𝑖−1)∗𝑖𝑖+1	PRON
american_scientific_journal-2100	69	129	𝑤𝑤(𝑖𝑖−1)∗𝑖𝑖+2	𝑤𝑤(𝑖𝑖−1)∗𝑖𝑖+2	NUM
american_scientific_journal-2100	69	130	…	…	PUNCT
american_scientific_journal-2100	69	131	𝑤𝑤𝑖𝑖∗𝑖𝑖=𝑘𝑘	𝑤𝑤𝑖𝑖∗𝑖𝑖=𝑘𝑘	PROPN
american_scientific_journal-2100	69	132	�	�	PROPN
american_scientific_journal-2100	69	133	.	.	PUNCT
american_scientific_journal-2100	70	1	moreover	moreover	ADV
american_scientific_journal-2100	70	2	,	,	PUNCT
american_scientific_journal-2100	70	3	if	if	SCONJ
american_scientific_journal-2100	70	4	k	k	PROPN
american_scientific_journal-2100	70	5	<	<	X
american_scientific_journal-2100	70	6	i*j	i*j	PROPN
american_scientific_journal-2100	70	7	;	;	PUNCT
american_scientific_journal-2100	70	8	𝑤𝑤1,𝑤𝑤2	𝑤𝑤1,𝑤𝑤2	NOUN
american_scientific_journal-2100	70	9	,	,	PUNCT
american_scientific_journal-2100	70	10	𝑤𝑤3	𝑤𝑤3	ADJ
american_scientific_journal-2100	70	11	,	,	PUNCT
american_scientific_journal-2100	70	12	…	…	PUNCT
american_scientific_journal-2100	70	13	,	,	PUNCT
american_scientific_journal-2100	70	14	𝑤𝑤𝑘𝑘	𝑤𝑤𝑘𝑘	NOUN
american_scientific_journal-2100	70	15	should	should	AUX
american_scientific_journal-2100	70	16	be	be	AUX
american_scientific_journal-2100	70	17	repeated	repeat	VERB
american_scientific_journal-2100	70	18	to	to	PART
american_scientific_journal-2100	70	19	form	form	VERB
american_scientific_journal-2100	70	20	𝑊𝑊𝑖𝑖𝑖𝑖	𝑊𝑊𝑖𝑖𝑖𝑖	PROPN
american_scientific_journal-2100	70	21	as	as	ADP
american_scientific_journal-2100	70	22	the	the	DET
american_scientific_journal-2100	70	23	following	following	NOUN
american_scientific_journal-2100	70	24	;	;	PUNCT
american_scientific_journal-2100	70	25	𝑤𝑤1	𝑤𝑤1	ADJ
american_scientific_journal-2100	70	26	,	,	PUNCT
american_scientific_journal-2100	70	27	𝑤𝑤2	𝑤𝑤2	NOUN
american_scientific_journal-2100	70	28	,	,	PUNCT
american_scientific_journal-2100	70	29	𝑤𝑤3	𝑤𝑤3	ADJ
american_scientific_journal-2100	70	30	,	,	PUNCT
american_scientific_journal-2100	70	31	…	…	PUNCT
american_scientific_journal-2100	70	32	,	,	PUNCT
american_scientific_journal-2100	70	33	𝑤𝑤𝑘𝑘,𝑤𝑤1	𝑤𝑤𝑘𝑘,𝑤𝑤1	NOUN
american_scientific_journal-2100	70	34	,	,	PUNCT
american_scientific_journal-2100	70	35	𝑤𝑤2	𝑤𝑤2	NOUN
american_scientific_journal-2100	70	36	,	,	PUNCT
american_scientific_journal-2100	70	37	…	…	PUNCT
american_scientific_journal-2100	70	38	,	,	PUNCT
american_scientific_journal-2100	70	39	𝑤𝑤𝑔𝑔	𝑤𝑤𝑔𝑔	NOUN
american_scientific_journal-2100	70	40	where	where	SCONJ
american_scientific_journal-2100	70	41	𝑔𝑔	𝑔𝑔	PROPN
american_scientific_journal-2100	70	42	is	be	AUX
american_scientific_journal-2100	70	43	equivalent	equivalent	ADJ
american_scientific_journal-2100	70	44	to	to	ADP
american_scientific_journal-2100	70	45	i*j	i*j	NOUN
american_scientific_journal-2100	70	46	and	and	CCONJ
american_scientific_journal-2100	70	47	1	1	NUM
american_scientific_journal-2100	70	48	≤	≤	NUM
american_scientific_journal-2100	70	49	𝑔𝑔	𝑔𝑔	ADP
american_scientific_journal-2100	70	50	≤	≤	PROPN
american_scientific_journal-2100	70	51	k	k	NOUN
american_scientific_journal-2100	70	52	,	,	PUNCT
american_scientific_journal-2100	70	53	or	or	CCONJ
american_scientific_journal-2100	70	54	,	,	PUNCT
american_scientific_journal-2100	70	55	𝑊𝑊𝑖𝑖𝑖𝑖	𝑊𝑊𝑖𝑖𝑖𝑖	PROPN
american_scientific_journal-2100	70	56	=	=	SYM
american_scientific_journal-2100	70	57	�	�	PROPN
american_scientific_journal-2100	70	58	𝑤𝑤1	𝑤𝑤1	X
american_scientific_journal-2100	70	59	𝑤𝑤2	𝑤𝑤2	NOUN
american_scientific_journal-2100	70	60	…	…	PUNCT
american_scientific_journal-2100	70	61	𝑤𝑤𝑖𝑖	𝑤𝑤𝑖𝑖	NOUN
american_scientific_journal-2100	70	62	𝑤𝑤𝑖𝑖+1	𝑤𝑤𝑖𝑖+1	PROPN
american_scientific_journal-2100	70	63	⋮	⋮	ADJ
american_scientific_journal-2100	70	64	𝑤𝑤𝑖𝑖+2	𝑤𝑤𝑖𝑖+2	ADJ
american_scientific_journal-2100	70	65	⋮	⋮	NOUN
american_scientific_journal-2100	70	66	…	…	PUNCT
american_scientific_journal-2100	70	67	⋮	⋮	NOUN
american_scientific_journal-2100	70	68	𝑤𝑤2∗𝑖𝑖	𝑤𝑤2∗𝑖𝑖	NOUN
american_scientific_journal-2100	70	69	⋮	⋮	PROPN
american_scientific_journal-2100	70	70	𝑤𝑤𝑘𝑘	𝑤𝑤𝑘𝑘	NOUN
american_scientific_journal-2100	70	71	𝑤𝑤1	𝑤𝑤1	PROPN
american_scientific_journal-2100	70	72	…	…	PUNCT
american_scientific_journal-2100	70	73	𝑤𝑤𝑔𝑔	𝑤𝑤𝑔𝑔	ADJ
american_scientific_journal-2100	70	74	�	�	PROPN
american_scientific_journal-2100	70	75	.	.	PUNCT
american_scientific_journal-2100	71	1	•	•	NUM
american_scientific_journal-2100	71	2	the	the	DET
american_scientific_journal-2100	71	3	matrix	matrix	NOUN
american_scientific_journal-2100	71	4	𝑇𝑇𝑖𝑖𝑖𝑖	𝑇𝑇𝑖𝑖𝑖𝑖	PROPN
american_scientific_journal-2100	71	5	will	will	AUX
american_scientific_journal-2100	71	6	be	be	AUX
american_scientific_journal-2100	71	7	encrypted	encrypt	VERB
american_scientific_journal-2100	71	8	using	use	VERB
american_scientific_journal-2100	71	9	the	the	DET
american_scientific_journal-2100	71	10	following	follow	VERB
american_scientific_journal-2100	71	11	defined	define	VERB
american_scientific_journal-2100	71	12	algorithm	algorithm	NOUN
american_scientific_journal-2100	71	13	:	:	PUNCT
american_scientific_journal-2100	72	1	𝐶𝐶𝑅𝑅	𝐶𝐶𝑅𝑅	PROPN
american_scientific_journal-2100	72	2	=	=	SYM
american_scientific_journal-2100	72	3	𝑊𝑊𝑖𝑖𝑖𝑖	𝑊𝑊𝑖𝑖𝑖𝑖	PROPN
american_scientific_journal-2100	72	4	®	®	NOUN
american_scientific_journal-2100	72	5	𝑇𝑇𝑖𝑖𝑖𝑖(𝑚𝑚𝑚𝑚𝑚𝑚	𝑇𝑇𝑖𝑖𝑖𝑖(𝑚𝑚𝑚𝑚𝑚𝑚	PROPN
american_scientific_journal-2100	72	6	𝑛𝑛	𝑛𝑛	NOUN
american_scientific_journal-2100	72	7	)	)	PUNCT
american_scientific_journal-2100	72	8	≡	≡	PROPN
american_scientific_journal-2100	72	9	�	�	PROPN
american_scientific_journal-2100	72	10	𝑤𝑤1	𝑤𝑤1	PROPN
american_scientific_journal-2100	72	11	𝑤𝑤2	𝑤𝑤2	PROPN
american_scientific_journal-2100	72	12	…	…	PUNCT
american_scientific_journal-2100	72	13	𝑤𝑤𝑖𝑖	𝑤𝑤𝑖𝑖	NOUN
american_scientific_journal-2100	72	14	𝑤𝑤𝑖𝑖+1	𝑤𝑤𝑖𝑖+1	PROPN
american_scientific_journal-2100	72	15	⋮	⋮	ADJ
american_scientific_journal-2100	72	16	𝑤𝑤𝑖𝑖+2	𝑤𝑤𝑖𝑖+2	ADJ
american_scientific_journal-2100	72	17	⋮	⋮	NOUN
american_scientific_journal-2100	72	18	…	…	PUNCT
american_scientific_journal-2100	72	19	⋮	⋮	NOUN
american_scientific_journal-2100	72	20	𝑤𝑤2∗𝑖𝑖	𝑤𝑤2∗𝑖𝑖	NOUN
american_scientific_journal-2100	72	21	⋮	⋮	NOUN
american_scientific_journal-2100	72	22	𝑤𝑤(𝑖𝑖−1)∗𝑖𝑖+1	𝑤𝑤(𝑖𝑖−1)∗𝑖𝑖+1	PRON
american_scientific_journal-2100	72	23	𝑤𝑤(𝑖𝑖−1)∗𝑖𝑖+2	𝑤𝑤(𝑖𝑖−1)∗𝑖𝑖+2	NUM
american_scientific_journal-2100	72	24	…	…	PUNCT
american_scientific_journal-2100	72	25	𝑤𝑤𝑖𝑖∗𝑖𝑖=𝑘𝑘	𝑤𝑤𝑖𝑖∗𝑖𝑖=𝑘𝑘	NOUN
american_scientific_journal-2100	72	26	�	�	VERB
american_scientific_journal-2100	72	27	®	®	NOUN
american_scientific_journal-2100	72	28	�	�	PROPN
american_scientific_journal-2100	72	29	𝑡𝑡11	𝑡𝑡11	PROPN
american_scientific_journal-2100	72	30	𝑡𝑡12	𝑡𝑡12	PROPN
american_scientific_journal-2100	72	31	…	…	PUNCT
american_scientific_journal-2100	72	32	𝑡𝑡1𝑖𝑖	𝑡𝑡1𝑖𝑖	NUM
american_scientific_journal-2100	72	33	𝑡𝑡21	𝑡𝑡21	PROPN
american_scientific_journal-2100	72	34	⋮	⋮	NOUN
american_scientific_journal-2100	72	35	𝑡𝑡22	𝑡𝑡22	PROPN
american_scientific_journal-2100	72	36	⋮	⋮	NOUN
american_scientific_journal-2100	72	37	…	…	PUNCT
american_scientific_journal-2100	72	38	⋮	⋮	NOUN
american_scientific_journal-2100	72	39	𝑡𝑡2𝑖𝑖	𝑡𝑡2𝑖𝑖	ADJ
american_scientific_journal-2100	72	40	⋮	⋮	NOUN
american_scientific_journal-2100	72	41	𝑡𝑡𝑖𝑖1	𝑡𝑡𝑖𝑖1	NOUN
american_scientific_journal-2100	72	42	𝑡𝑡𝑖𝑖2	𝑡𝑡𝑖𝑖2	NOUN
american_scientific_journal-2100	72	43	…	…	PUNCT
american_scientific_journal-2100	72	44	𝑡𝑡𝑖𝑖𝑖𝑖	𝑡𝑡𝑖𝑖𝑖𝑖	ADJ
american_scientific_journal-2100	72	45	�	�	PROPN
american_scientific_journal-2100	72	46	(	(	PUNCT
american_scientific_journal-2100	72	47	mod	mod	PROPN
american_scientific_journal-2100	72	48	n	n	CCONJ
american_scientific_journal-2100	72	49	)	)	PUNCT
american_scientific_journal-2100	72	50	≡	≡	PROPN
american_scientific_journal-2100	72	51	⎣	⎣	ADJ
american_scientific_journal-2100	72	52	⎢	⎢	NOUN
american_scientific_journal-2100	72	53	⎢	⎢	NOUN
american_scientific_journal-2100	72	54	⎡	⎡	NOUN
american_scientific_journal-2100	72	55	𝑡𝑡11𝑤𝑤1	𝑡𝑡11𝑤𝑤1	ADJ
american_scientific_journal-2100	72	56	𝑡𝑡12𝑤𝑤2	𝑡𝑡12𝑤𝑤2	NOUN
american_scientific_journal-2100	72	57	…	…	PUNCT
american_scientific_journal-2100	72	58	𝑡𝑡1𝑖𝑖𝑤𝑤𝑗𝑗	𝑡𝑡1𝑖𝑖𝑤𝑤𝑗𝑗	VERB
american_scientific_journal-2100	72	59	𝑡𝑡21𝑤𝑤𝑗𝑗+1	𝑡𝑡21𝑤𝑤𝑗𝑗+1	ADP
american_scientific_journal-2100	72	60	⋮	⋮	NOUN
american_scientific_journal-2100	72	61	𝑡𝑡22𝑤𝑤𝑗𝑗+2	𝑡𝑡22𝑤𝑤𝑗𝑗+2	PUNCT
american_scientific_journal-2100	72	62	⋮	⋮	NOUN
american_scientific_journal-2100	72	63	…	…	PUNCT
american_scientific_journal-2100	72	64	⋮	⋮	NOUN
american_scientific_journal-2100	72	65	𝑡𝑡2𝑖𝑖𝑤𝑤2∗𝑗𝑗	𝑡𝑡2𝑖𝑖𝑤𝑤2∗𝑗𝑗	NOUN
american_scientific_journal-2100	72	66	⋮	⋮	NOUN
american_scientific_journal-2100	72	67	𝑡𝑡𝑖𝑖1𝑤𝑤(𝑖𝑖−1)∗𝑗𝑗+1	𝑡𝑡𝑖𝑖1𝑤𝑤(𝑖𝑖−1)∗𝑗𝑗+1	VERB
american_scientific_journal-2100	72	68	𝑡𝑡𝑖𝑖2𝑤𝑤(𝑖𝑖−1)∗𝑗𝑗+2	𝑡𝑡𝑖𝑖2𝑤𝑤(𝑖𝑖−1)∗𝑗𝑗+2	NOUN
american_scientific_journal-2100	72	69	…	…	PUNCT
american_scientific_journal-2100	72	70	𝑡𝑡𝑖𝑖𝑖𝑖𝑤𝑤𝑘𝑘	𝑡𝑡𝑖𝑖𝑖𝑖𝑤𝑤𝑘𝑘	NOUN
american_scientific_journal-2100	72	71	⎦	⎦	NOUN
american_scientific_journal-2100	72	72	⎥	⎥	PROPN
american_scientific_journal-2100	72	73	⎥	⎥	PROPN
american_scientific_journal-2100	72	74	⎤	⎤	PROPN
american_scientific_journal-2100	72	75	(	(	PUNCT
american_scientific_journal-2100	72	76	mod	mod	PROPN
american_scientific_journal-2100	72	77	n	n	CCONJ
american_scientific_journal-2100	72	78	)	)	PUNCT
american_scientific_journal-2100	72	79	≡	≡	PROPN
american_scientific_journal-2100	72	80	�	�	PROPN
american_scientific_journal-2100	72	81	𝑐𝑐𝑟𝑟11	𝑐𝑐𝑟𝑟11	PROPN
american_scientific_journal-2100	72	82	𝑐𝑐𝑟𝑟12	𝑐𝑐𝑟𝑟12	VERB
american_scientific_journal-2100	72	83	…	…	PUNCT
american_scientific_journal-2100	73	1	𝑐𝑐𝑟𝑟1𝑖𝑖	𝑐𝑐𝑟𝑟1𝑖𝑖	ADP
american_scientific_journal-2100	73	2	𝑐𝑐𝑟𝑟21	𝑐𝑐𝑟𝑟21	NOUN
american_scientific_journal-2100	73	3	⋮	⋮	PROPN
american_scientific_journal-2100	73	4	𝑐𝑐𝑟𝑟22	𝑐𝑐𝑟𝑟22	NOUN
american_scientific_journal-2100	73	5	⋮	⋮	NOUN
american_scientific_journal-2100	73	6	…	…	PUNCT
american_scientific_journal-2100	73	7	⋮	⋮	NOUN
american_scientific_journal-2100	73	8	𝑐𝑐𝑟𝑟2𝑖𝑖	𝑐𝑐𝑟𝑟2𝑖𝑖	ADJ
american_scientific_journal-2100	73	9	⋮	⋮	NOUN
american_scientific_journal-2100	73	10	𝑐𝑐𝑟𝑟𝑖𝑖1	𝑐𝑐𝑟𝑟𝑖𝑖1	PROPN
american_scientific_journal-2100	73	11	𝑐𝑐𝑟𝑟𝑖𝑖2	𝑐𝑐𝑟𝑟𝑖𝑖2	PROPN
american_scientific_journal-2100	73	12	…	…	PUNCT
american_scientific_journal-2100	73	13	𝑐𝑐𝑟𝑟𝑖𝑖𝑖𝑖	𝑐𝑐𝑟𝑟𝑖𝑖𝑖𝑖	ADJ
american_scientific_journal-2100	73	14	�	�	PROPN
american_scientific_journal-2100	73	15	•	•	ADP
american_scientific_journal-2100	73	16	the	the	DET
american_scientific_journal-2100	73	17	cipher	cipher	ADJ
american_scientific_journal-2100	73	18	matrix	matrix	NOUN
american_scientific_journal-2100	73	19	will	will	AUX
american_scientific_journal-2100	73	20	be	be	AUX
american_scientific_journal-2100	73	21	transmitted	transmit	VERB
american_scientific_journal-2100	73	22	to	to	ADP
american_scientific_journal-2100	73	23	a	a	DET
american_scientific_journal-2100	73	24	sender	sender	NOUN
american_scientific_journal-2100	73	25	as	as	SCONJ
american_scientific_journal-2100	73	26	𝐶𝐶𝑅𝑅	𝐶𝐶𝑅𝑅	PROPN
american_scientific_journal-2100	73	27	=	=	SYM
american_scientific_journal-2100	73	28	�	�	PROPN
american_scientific_journal-2100	73	29	𝑐𝑐𝑟𝑟11	𝑐𝑐𝑟𝑟11	NOUN
american_scientific_journal-2100	73	30	𝑐𝑐𝑟𝑟12	𝑐𝑐𝑟𝑟12	VERB
american_scientific_journal-2100	73	31	…	…	PUNCT
american_scientific_journal-2100	74	1	𝑐𝑐𝑟𝑟1𝑖𝑖	𝑐𝑐𝑟𝑟1𝑖𝑖	ADP
american_scientific_journal-2100	74	2	𝑐𝑐𝑟𝑟21	𝑐𝑐𝑟𝑟21	NOUN
american_scientific_journal-2100	74	3	⋮	⋮	PROPN
american_scientific_journal-2100	74	4	𝑐𝑐𝑟𝑟22	𝑐𝑐𝑟𝑟22	NOUN
american_scientific_journal-2100	74	5	⋮	⋮	NOUN
american_scientific_journal-2100	74	6	…	…	PUNCT
american_scientific_journal-2100	74	7	⋮	⋮	NOUN
american_scientific_journal-2100	74	8	𝑐𝑐𝑟𝑟2𝑖𝑖	𝑐𝑐𝑟𝑟2𝑖𝑖	ADJ
american_scientific_journal-2100	74	9	⋮	⋮	NOUN
american_scientific_journal-2100	74	10	𝑐𝑐𝑟𝑟𝑖𝑖1	𝑐𝑐𝑟𝑟𝑖𝑖1	PROPN
american_scientific_journal-2100	74	11	𝑐𝑐𝑟𝑟𝑖𝑖2	𝑐𝑐𝑟𝑟𝑖𝑖2	PROPN
american_scientific_journal-2100	74	12	…	…	PUNCT
american_scientific_journal-2100	74	13	𝑐𝑐𝑟𝑟𝑖𝑖𝑖𝑖	𝑐𝑐𝑟𝑟𝑖𝑖𝑖𝑖	ADJ
american_scientific_journal-2100	74	14	�	�	PROPN
american_scientific_journal-2100	74	15	.	.	PUNCT
american_scientific_journal-2100	75	1	american	american	PROPN
american_scientific_journal-2100	75	2	scientific	scientific	PROPN
american_scientific_journal-2100	75	3	research	research	PROPN
american_scientific_journal-2100	75	4	journal	journal	NOUN
american_scientific_journal-2100	75	5	for	for	ADP
american_scientific_journal-2100	75	6	engineering	engineering	NOUN
american_scientific_journal-2100	75	7	,	,	PUNCT
american_scientific_journal-2100	75	8	technology	technology	NOUN
american_scientific_journal-2100	75	9	,	,	PUNCT
american_scientific_journal-2100	75	10	and	and	CCONJ
american_scientific_journal-2100	75	11	sciences	science	NOUN
american_scientific_journal-2100	75	12	(	(	PUNCT
american_scientific_journal-2100	75	13	asrjets	asrjet	NOUN
american_scientific_journal-2100	75	14	)	)	PUNCT
american_scientific_journal-2100	75	15	(	(	PUNCT
american_scientific_journal-2100	75	16	2016	2016	NUM
american_scientific_journal-2100	75	17	)	)	PUNCT
american_scientific_journal-2100	75	18	volume	volume	NOUN
american_scientific_journal-2100	75	19	24	24	NUM
american_scientific_journal-2100	75	20	,	,	PUNCT
american_scientific_journal-2100	75	21	no	no	DET
american_scientific_journal-2100	75	22	1	1	NUM
american_scientific_journal-2100	75	23	,	,	PUNCT
american_scientific_journal-2100	75	24	pp	pp	ADV
american_scientific_journal-2100	75	25	270	270	NUM
american_scientific_journal-2100	75	26	-	-	SYM
american_scientific_journal-2100	75	27	279	279	NUM
american_scientific_journal-2100	75	28	275	275	NUM
american_scientific_journal-2100	75	29	4.3	4.3	NUM
american_scientific_journal-2100	75	30	.	.	PUNCT
american_scientific_journal-2100	76	1	the	the	DET
american_scientific_journal-2100	76	2	decryption	decryption	NOUN
american_scientific_journal-2100	76	3	procedure	procedure	NOUN
american_scientific_journal-2100	76	4	of	of	ADP
american_scientific_journal-2100	76	5	this	this	DET
american_scientific_journal-2100	76	6	modification	modification	NOUN
american_scientific_journal-2100	76	7	•	•	ADP
american_scientific_journal-2100	76	8	the	the	DET
american_scientific_journal-2100	76	9	receiver	receiver	NOUN
american_scientific_journal-2100	76	10	's	's	PART
american_scientific_journal-2100	76	11	private	private	ADJ
american_scientific_journal-2100	76	12	key	key	NOUN
american_scientific_journal-2100	76	13	(	(	PUNCT
american_scientific_journal-2100	76	14	𝒔𝒔𝟏𝟏,𝒔𝒔𝟐𝟐,𝒔𝒔𝟑𝟑	𝒔𝒔𝟏𝟏,𝒔𝒔𝟐𝟐,𝒔𝒔𝟑𝟑	NOUN
american_scientific_journal-2100	76	15	,	,	PUNCT
american_scientific_journal-2100	76	16	…	…	PUNCT
american_scientific_journal-2100	76	17	,	,	PUNCT
american_scientific_journal-2100	76	18	𝒔𝒔𝒌𝒌	𝒔𝒔𝒌𝒌	NOUN
american_scientific_journal-2100	76	19	,	,	PUNCT
american_scientific_journal-2100	76	20	n	n	CCONJ
american_scientific_journal-2100	76	21	)	)	PUNCT
american_scientific_journal-2100	76	22	must	must	AUX
american_scientific_journal-2100	76	23	be	be	AUX
american_scientific_journal-2100	76	24	used	use	VERB
american_scientific_journal-2100	76	25	to	to	PART
american_scientific_journal-2100	76	26	decrypt	decrypt	VERB
american_scientific_journal-2100	76	27	𝑪𝑪𝑹𝑹	𝑪𝑪𝑹𝑹	NOUN
american_scientific_journal-2100	76	28	after	after	ADP
american_scientific_journal-2100	76	29	using	use	VERB
american_scientific_journal-2100	76	30	them	they	PRON
american_scientific_journal-2100	76	31	to	to	PART
american_scientific_journal-2100	76	32	form	form	VERB
american_scientific_journal-2100	76	33	the	the	DET
american_scientific_journal-2100	76	34	corresponding	correspond	VERB
american_scientific_journal-2100	76	35	decryption	decryption	NOUN
american_scientific_journal-2100	76	36	key	key	NOUN
american_scientific_journal-2100	76	37	matrix	matrix	NOUN
american_scientific_journal-2100	76	38	𝑺𝑺𝒊𝒊𝒊𝒊	𝑺𝑺𝒊𝒊𝒊𝒊	PROPN
american_scientific_journal-2100	76	39	so	so	SCONJ
american_scientific_journal-2100	76	40	that	that	SCONJ
american_scientific_journal-2100	76	41	𝑺𝑺𝒊𝒊𝒊𝒊	𝑺𝑺𝒊𝒊𝒊𝒊	PROPN
american_scientific_journal-2100	76	42	has	have	VERB
american_scientific_journal-2100	76	43	the	the	DET
american_scientific_journal-2100	76	44	same	same	ADJ
american_scientific_journal-2100	76	45	size	size	NOUN
american_scientific_journal-2100	76	46	of	of	ADP
american_scientific_journal-2100	76	47	the	the	DET
american_scientific_journal-2100	76	48	cipher	cipher	ADJ
american_scientific_journal-2100	76	49	matrix	matrix	NOUN
american_scientific_journal-2100	76	50	(	(	PUNCT
american_scientific_journal-2100	76	51	𝑪𝑪𝑹𝑹)𝒊𝒊𝒊𝒊	𝑪𝑪𝑹𝑹)𝒊𝒊𝒊𝒊	ADV
american_scientific_journal-2100	76	52	,	,	PUNCT
american_scientific_journal-2100	76	53	and	and	CCONJ
american_scientific_journal-2100	76	54	𝒔𝒔𝟏𝟏,𝒔𝒔𝟐𝟐,𝒔𝒔𝟑𝟑	𝒔𝒔𝟏𝟏,𝒔𝒔𝟐𝟐,𝒔𝒔𝟑𝟑	NOUN
american_scientific_journal-2100	76	55	,	,	PUNCT
american_scientific_journal-2100	76	56	…	…	PUNCT
american_scientific_journal-2100	76	57	,	,	PUNCT
american_scientific_journal-2100	76	58	𝒔𝒔𝒌𝒌	𝒔𝒔𝒌𝒌	PROPN
american_scientific_journal-2100	76	59	should	should	AUX
american_scientific_journal-2100	76	60	be	be	AUX
american_scientific_journal-2100	76	61	organized	organize	VERB
american_scientific_journal-2100	76	62	in	in	ADP
american_scientific_journal-2100	76	63	columns	column	NOUN
american_scientific_journal-2100	76	64	so	so	SCONJ
american_scientific_journal-2100	77	1	that	that	SCONJ
american_scientific_journal-2100	77	2	(	(	PUNCT
american_scientific_journal-2100	77	3	k	k	X
american_scientific_journal-2100	77	4	=	=	NOUN
american_scientific_journal-2100	77	5	i*j	i*j	PRON
american_scientific_journal-2100	77	6	)	)	PUNCT
american_scientific_journal-2100	77	7	,	,	PUNCT
american_scientific_journal-2100	77	8	which	which	PRON
american_scientific_journal-2100	77	9	as	as	ADP
american_scientific_journal-2100	77	10	the	the	DET
american_scientific_journal-2100	77	11	following	following	NOUN
american_scientific_journal-2100	77	12	;	;	PUNCT
american_scientific_journal-2100	77	13	𝑆𝑆𝑖𝑖𝑖𝑖	𝑆𝑆𝑖𝑖𝑖𝑖	PROPN
american_scientific_journal-2100	77	14	=	=	SYM
american_scientific_journal-2100	77	15	�	�	PROPN
american_scientific_journal-2100	77	16	𝑠𝑠1	𝑠𝑠1	NOUN
american_scientific_journal-2100	77	17	𝑠𝑠2	𝑠𝑠2	NOUN
american_scientific_journal-2100	77	18	…	…	PUNCT
american_scientific_journal-2100	77	19	𝑠𝑠𝑖𝑖	𝑠𝑠𝑖𝑖	ADJ
american_scientific_journal-2100	77	20	𝑠𝑠𝑖𝑖+1	𝑠𝑠𝑖𝑖+1	ADJ
american_scientific_journal-2100	77	21	⋮	⋮	ADJ
american_scientific_journal-2100	77	22	𝑠𝑠𝑖𝑖+2	𝑠𝑠𝑖𝑖+2	ADJ
american_scientific_journal-2100	77	23	⋮	⋮	NOUN
american_scientific_journal-2100	77	24	…	…	PUNCT
american_scientific_journal-2100	77	25	⋮	⋮	NOUN
american_scientific_journal-2100	77	26	𝑠𝑠2∗𝑖𝑖	𝑠𝑠2∗𝑖𝑖	PROPN
american_scientific_journal-2100	77	27	⋮	⋮	NOUN
american_scientific_journal-2100	77	28	𝑠𝑠(𝑖𝑖−1)∗𝑖𝑖+1	𝑠𝑠(𝑖𝑖−1)∗𝑖𝑖+1	X
american_scientific_journal-2100	77	29	𝑠𝑠(𝑖𝑖−1)∗𝑖𝑖+2	𝑠𝑠(𝑖𝑖−1)∗𝑖𝑖+2	NUM
american_scientific_journal-2100	77	30	…	…	PUNCT
american_scientific_journal-2100	77	31	𝑠𝑠𝑖𝑖∗𝑖𝑖=𝑘𝑘	𝑠𝑠𝑖𝑖∗𝑖𝑖=𝑘𝑘	PROPN
american_scientific_journal-2100	77	32	�	�	PROPN
american_scientific_journal-2100	77	33	moreover	moreover	ADV
american_scientific_journal-2100	77	34	,	,	PUNCT
american_scientific_journal-2100	77	35	if	if	SCONJ
american_scientific_journal-2100	77	36	k	k	PROPN
american_scientific_journal-2100	77	37	<	<	X
american_scientific_journal-2100	77	38	i*j	i*j	PROPN
american_scientific_journal-2100	77	39	;	;	PUNCT
american_scientific_journal-2100	77	40	𝑠𝑠1	𝑠𝑠1	NUM
american_scientific_journal-2100	77	41	,	,	PUNCT
american_scientific_journal-2100	77	42	𝑠𝑠2	𝑠𝑠2	PROPN
american_scientific_journal-2100	77	43	,	,	PUNCT
american_scientific_journal-2100	77	44	𝑠𝑠3	𝑠𝑠3	X
american_scientific_journal-2100	77	45	,	,	PUNCT
american_scientific_journal-2100	77	46	…	…	PUNCT
american_scientific_journal-2100	77	47	,	,	PUNCT
american_scientific_journal-2100	77	48	𝑠𝑠𝑘𝑘	𝑠𝑠𝑘𝑘	NOUN
american_scientific_journal-2100	77	49	should	should	AUX
american_scientific_journal-2100	77	50	be	be	AUX
american_scientific_journal-2100	77	51	repeated	repeat	VERB
american_scientific_journal-2100	77	52	to	to	PART
american_scientific_journal-2100	77	53	form	form	VERB
american_scientific_journal-2100	77	54	𝑆𝑆𝑖𝑖𝑖𝑖	𝑆𝑆𝑖𝑖𝑖𝑖	PROPN
american_scientific_journal-2100	77	55	as	as	ADP
american_scientific_journal-2100	77	56	the	the	DET
american_scientific_journal-2100	77	57	following	following	NOUN
american_scientific_journal-2100	77	58	;	;	PUNCT
american_scientific_journal-2100	77	59	𝑆𝑆𝑖𝑖𝑖𝑖	𝑆𝑆𝑖𝑖𝑖𝑖	PROPN
american_scientific_journal-2100	77	60	=	=	SYM
american_scientific_journal-2100	77	61	�	�	PROPN
american_scientific_journal-2100	77	62	𝑠𝑠1	𝑠𝑠1	NOUN
american_scientific_journal-2100	77	63	𝑠𝑠2	𝑠𝑠2	NOUN
american_scientific_journal-2100	77	64	…	…	PUNCT
american_scientific_journal-2100	77	65	𝑠𝑠𝑖𝑖	𝑠𝑠𝑖𝑖	ADJ
american_scientific_journal-2100	77	66	𝑠𝑠𝑖𝑖+1	𝑠𝑠𝑖𝑖+1	ADJ
american_scientific_journal-2100	77	67	⋮	⋮	ADJ
american_scientific_journal-2100	77	68	𝑠𝑠𝑖𝑖+2	𝑠𝑠𝑖𝑖+2	ADJ
american_scientific_journal-2100	77	69	⋮	⋮	NOUN
american_scientific_journal-2100	77	70	…	…	PUNCT
american_scientific_journal-2100	77	71	⋮	⋮	NOUN
american_scientific_journal-2100	77	72	𝑠𝑠2∗𝑖𝑖	𝑠𝑠2∗𝑖𝑖	PROPN
american_scientific_journal-2100	77	73	⋮	⋮	ADJ
american_scientific_journal-2100	77	74	𝑠𝑠𝑘𝑘	𝑠𝑠𝑘𝑘	PROPN
american_scientific_journal-2100	77	75	𝑠𝑠1	𝑠𝑠1	NOUN
american_scientific_journal-2100	77	76	…	…	PUNCT
american_scientific_journal-2100	77	77	𝑠𝑠𝑔𝑔	𝑠𝑠𝑔𝑔	PROPN
american_scientific_journal-2100	77	78	�	�	PROPN
american_scientific_journal-2100	77	79	where	where	SCONJ
american_scientific_journal-2100	77	80	𝑔𝑔	𝑔𝑔	PROPN
american_scientific_journal-2100	77	81	is	be	AUX
american_scientific_journal-2100	77	82	equivalent	equivalent	ADJ
american_scientific_journal-2100	77	83	to	to	ADP
american_scientific_journal-2100	77	84	i*j	i*j	NOUN
american_scientific_journal-2100	77	85	and	and	CCONJ
american_scientific_journal-2100	77	86	1	1	NUM
american_scientific_journal-2100	77	87	≤	≤	NUM
american_scientific_journal-2100	77	88	𝑔𝑔	𝑔𝑔	ADP
american_scientific_journal-2100	77	89	≤	≤	PROPN
american_scientific_journal-2100	77	90	k	k	PROPN
american_scientific_journal-2100	77	91	.	.	PUNCT
american_scientific_journal-2100	77	92	•	•	NUM
american_scientific_journal-2100	77	93	the	the	DET
american_scientific_journal-2100	77	94	matrix	matrix	NOUN
american_scientific_journal-2100	77	95	𝐶𝐶𝑅𝑅	𝐶𝐶𝑅𝑅	PROPN
american_scientific_journal-2100	77	96	=	=	SYM
american_scientific_journal-2100	77	97	�	�	PROPN
american_scientific_journal-2100	77	98	𝑐𝑐𝑟𝑟11	𝑐𝑐𝑟𝑟11	NOUN
american_scientific_journal-2100	77	99	𝑐𝑐𝑟𝑟12	𝑐𝑐𝑟𝑟12	VERB
american_scientific_journal-2100	77	100	…	…	PUNCT
american_scientific_journal-2100	78	1	𝑐𝑐𝑟𝑟1𝑖𝑖	𝑐𝑐𝑟𝑟1𝑖𝑖	ADP
american_scientific_journal-2100	78	2	𝑐𝑐𝑟𝑟21	𝑐𝑐𝑟𝑟21	NOUN
american_scientific_journal-2100	78	3	⋮	⋮	PROPN
american_scientific_journal-2100	78	4	𝑐𝑐𝑟𝑟22	𝑐𝑐𝑟𝑟22	NOUN
american_scientific_journal-2100	78	5	⋮	⋮	NOUN
american_scientific_journal-2100	78	6	…	…	PUNCT
american_scientific_journal-2100	78	7	⋮	⋮	NOUN
american_scientific_journal-2100	78	8	𝑐𝑐𝑟𝑟2𝑖𝑖	𝑐𝑐𝑟𝑟2𝑖𝑖	ADJ
american_scientific_journal-2100	78	9	⋮	⋮	NOUN
american_scientific_journal-2100	78	10	𝑐𝑐𝑟𝑟𝑖𝑖1	𝑐𝑐𝑟𝑟𝑖𝑖1	PROPN
american_scientific_journal-2100	78	11	𝑐𝑐𝑟𝑟𝑖𝑖2	𝑐𝑐𝑟𝑟𝑖𝑖2	PROPN
american_scientific_journal-2100	78	12	…	…	PUNCT
american_scientific_journal-2100	78	13	𝑐𝑐𝑟𝑟𝑖𝑖𝑖𝑖	𝑐𝑐𝑟𝑟𝑖𝑖𝑖𝑖	ADJ
american_scientific_journal-2100	78	14	�	�	PROPN
american_scientific_journal-2100	78	15	can	can	AUX
american_scientific_journal-2100	78	16	be	be	AUX
american_scientific_journal-2100	78	17	decrypted	decrypt	VERB
american_scientific_journal-2100	78	18	to	to	PART
american_scientific_journal-2100	78	19	obtain	obtain	VERB
american_scientific_journal-2100	78	20	the	the	DET
american_scientific_journal-2100	78	21	plain	plain	ADJ
american_scientific_journal-2100	78	22	matrix	matrix	NOUN
american_scientific_journal-2100	78	23	𝑇𝑇𝑖𝑖𝑖𝑖using	𝑇𝑇𝑖𝑖𝑖𝑖use	VERB
american_scientific_journal-2100	78	24	the	the	DET
american_scientific_journal-2100	78	25	following	follow	VERB
american_scientific_journal-2100	78	26	defined	define	VERB
american_scientific_journal-2100	78	27	algorithm	algorithm	NOUN
american_scientific_journal-2100	78	28	:	:	PUNCT
american_scientific_journal-2100	78	29	𝑇𝑇𝑖𝑖𝑖𝑖	𝑇𝑇𝑖𝑖𝑖𝑖	PROPN
american_scientific_journal-2100	78	30	=	=	SYM
american_scientific_journal-2100	78	31	𝑆𝑆𝑖𝑖𝑖𝑖	𝑆𝑆𝑖𝑖𝑖𝑖	PROPN
american_scientific_journal-2100	78	32	®	®	NOUN
american_scientific_journal-2100	78	33	𝐶𝐶𝑅𝑅(𝑚𝑚𝑚𝑚𝑚𝑚	𝐶𝐶𝑅𝑅(𝑚𝑚𝑚𝑚𝑚𝑚	PRON
american_scientific_journal-2100	78	34	𝑛𝑛	𝑛𝑛	NOUN
american_scientific_journal-2100	78	35	)	)	PUNCT
american_scientific_journal-2100	78	36	≡	≡	PROPN
american_scientific_journal-2100	78	37	�	�	PROPN
american_scientific_journal-2100	78	38	𝑠𝑠1	𝑠𝑠1	NOUN
american_scientific_journal-2100	78	39	𝑠𝑠2	𝑠𝑠2	NOUN
american_scientific_journal-2100	78	40	…	…	PUNCT
american_scientific_journal-2100	78	41	𝑠𝑠𝑖𝑖	𝑠𝑠𝑖𝑖	ADJ
american_scientific_journal-2100	78	42	𝑠𝑠𝑖𝑖+1	𝑠𝑠𝑖𝑖+1	ADJ
american_scientific_journal-2100	78	43	⋮	⋮	ADJ
american_scientific_journal-2100	78	44	𝑠𝑠𝑖𝑖+2	𝑠𝑠𝑖𝑖+2	ADJ
american_scientific_journal-2100	78	45	⋮	⋮	NOUN
american_scientific_journal-2100	78	46	…	…	PUNCT
american_scientific_journal-2100	78	47	⋮	⋮	NOUN
american_scientific_journal-2100	78	48	𝑠𝑠2∗𝑖𝑖	𝑠𝑠2∗𝑖𝑖	PROPN
american_scientific_journal-2100	78	49	⋮	⋮	NOUN
american_scientific_journal-2100	78	50	𝑠𝑠(𝑖𝑖−1)∗𝑖𝑖+1	𝑠𝑠(𝑖𝑖−1)∗𝑖𝑖+1	X
american_scientific_journal-2100	78	51	𝑠𝑠(𝑖𝑖−1)∗𝑖𝑖+2	𝑠𝑠(𝑖𝑖−1)∗𝑖𝑖+2	NUM
american_scientific_journal-2100	78	52	…	…	PUNCT
american_scientific_journal-2100	78	53	𝑠𝑠𝑖𝑖∗𝑖𝑖=𝑘𝑘	𝑠𝑠𝑖𝑖∗𝑖𝑖=𝑘𝑘	PROPN
american_scientific_journal-2100	78	54	�	�	PROPN
american_scientific_journal-2100	78	55	®	®	NOUN
american_scientific_journal-2100	78	56	�	�	PROPN
american_scientific_journal-2100	78	57	𝑐𝑐𝑟𝑟11	𝑐𝑐𝑟𝑟11	NOUN
american_scientific_journal-2100	78	58	𝑐𝑐𝑟𝑟12	𝑐𝑐𝑟𝑟12	VERB
american_scientific_journal-2100	78	59	…	…	PUNCT
american_scientific_journal-2100	79	1	𝑐𝑐𝑟𝑟1𝑖𝑖	𝑐𝑐𝑟𝑟1𝑖𝑖	ADP
american_scientific_journal-2100	79	2	𝑐𝑐𝑟𝑟21	𝑐𝑐𝑟𝑟21	NOUN
american_scientific_journal-2100	79	3	⋮	⋮	PROPN
american_scientific_journal-2100	79	4	𝑐𝑐𝑟𝑟22	𝑐𝑐𝑟𝑟22	NOUN
american_scientific_journal-2100	79	5	⋮	⋮	NOUN
american_scientific_journal-2100	79	6	…	…	PUNCT
american_scientific_journal-2100	79	7	⋮	⋮	NOUN
american_scientific_journal-2100	79	8	𝑐𝑐𝑟𝑟2𝑖𝑖	𝑐𝑐𝑟𝑟2𝑖𝑖	ADJ
american_scientific_journal-2100	79	9	⋮	⋮	NOUN
american_scientific_journal-2100	79	10	𝑐𝑐𝑟𝑟𝑖𝑖1	𝑐𝑐𝑟𝑟𝑖𝑖1	PROPN
american_scientific_journal-2100	79	11	𝑐𝑐𝑟𝑟𝑖𝑖2	𝑐𝑐𝑟𝑟𝑖𝑖2	PROPN
american_scientific_journal-2100	79	12	…	…	PUNCT
american_scientific_journal-2100	79	13	𝑐𝑐𝑟𝑟𝑖𝑖𝑖𝑖	𝑐𝑐𝑟𝑟𝑖𝑖𝑖𝑖	ADJ
american_scientific_journal-2100	79	14	�	�	PROPN
american_scientific_journal-2100	79	15	(	(	PUNCT
american_scientific_journal-2100	79	16	mod	mod	PROPN
american_scientific_journal-2100	79	17	n	n	CCONJ
american_scientific_journal-2100	79	18	)	)	PUNCT
american_scientific_journal-2100	79	19	≡	≡	PROPN
american_scientific_journal-2100	79	20	⎣	⎣	ADJ
american_scientific_journal-2100	79	21	⎢	⎢	NOUN
american_scientific_journal-2100	79	22	⎢	⎢	NOUN
american_scientific_journal-2100	79	23	⎢	⎢	NOUN
american_scientific_journal-2100	79	24	⎡	⎡	NOUN
american_scientific_journal-2100	79	25	(	(	PUNCT
american_scientific_journal-2100	79	26	𝑐𝑐𝑟𝑟11)𝑠𝑠1	𝑐𝑐𝑟𝑟11)𝑠𝑠1	X
american_scientific_journal-2100	79	27	(	(	PUNCT
american_scientific_journal-2100	79	28	𝑐𝑐𝑟𝑟12)𝑠𝑠2	𝑐𝑐𝑟𝑟12)𝑠𝑠2	PROPN
american_scientific_journal-2100	79	29	…	…	PUNCT
american_scientific_journal-2100	79	30	�	�	PROPN
american_scientific_journal-2100	79	31	𝑐𝑐𝑟𝑟1𝑖𝑖	𝑐𝑐𝑟𝑟1𝑖𝑖	PROPN
american_scientific_journal-2100	79	32	�	�	PROPN
american_scientific_journal-2100	79	33	𝑠𝑠𝑗𝑗	𝑠𝑠𝑗𝑗	PROPN
american_scientific_journal-2100	79	34	(	(	PUNCT
american_scientific_journal-2100	79	35	𝑐𝑐𝑟𝑟21)𝑠𝑠𝑗𝑗+1	𝑐𝑐𝑟𝑟21)𝑠𝑠𝑗𝑗+1	PROPN
american_scientific_journal-2100	79	36	⋮	⋮	NOUN
american_scientific_journal-2100	79	37	(	(	PUNCT
american_scientific_journal-2100	79	38	𝑐𝑐𝑟𝑟22)𝑠𝑠𝑗𝑗+2	𝑐𝑐𝑟𝑟22)𝑠𝑠𝑗𝑗+2	NUM
american_scientific_journal-2100	79	39	⋮	⋮	NOUN
american_scientific_journal-2100	79	40	…	…	PUNCT
american_scientific_journal-2100	79	41	⋮	⋮	NOUN
american_scientific_journal-2100	79	42	�	�	SYM
american_scientific_journal-2100	79	43	𝑐𝑐𝑟𝑟2𝑖𝑖	𝑐𝑐𝑟𝑟2𝑖𝑖	PROPN
american_scientific_journal-2100	79	44	�	�	PROPN
american_scientific_journal-2100	79	45	𝑠𝑠2∗𝑗𝑗	𝑠𝑠2∗𝑗𝑗	PROPN
american_scientific_journal-2100	79	46	⋮	⋮	NOUN
american_scientific_journal-2100	79	47	(	(	PUNCT
american_scientific_journal-2100	79	48	𝑐𝑐𝑟𝑟𝑖𝑖1)𝑠𝑠(𝑖𝑖−1)∗𝑗𝑗+1	𝑐𝑐𝑟𝑟𝑖𝑖1)𝑠𝑠(𝑖𝑖−1)∗𝑗𝑗+1	X
american_scientific_journal-2100	79	49	(	(	PUNCT
american_scientific_journal-2100	79	50	𝑐𝑐𝑟𝑟𝑖𝑖2)𝑠𝑠(𝑖𝑖−1)∗𝑗𝑗+2	𝑐𝑐𝑟𝑟𝑖𝑖2)𝑠𝑠(𝑖𝑖−1)∗𝑗𝑗+2	PROPN
american_scientific_journal-2100	79	51	…	…	PUNCT
american_scientific_journal-2100	79	52	�	�	PROPN
american_scientific_journal-2100	79	53	𝑐𝑐𝑟𝑟𝑖𝑖𝑖𝑖	𝑐𝑐𝑟𝑟𝑖𝑖𝑖𝑖	ADJ
american_scientific_journal-2100	79	54	�	�	PROPN
american_scientific_journal-2100	79	55	𝑠𝑠𝑘𝑘	𝑠𝑠𝑘𝑘	PROPN
american_scientific_journal-2100	79	56	⎦	⎦	NOUN
american_scientific_journal-2100	79	57	⎥	⎥	PROPN
american_scientific_journal-2100	79	58	⎥	⎥	PROPN
american_scientific_journal-2100	79	59	⎥	⎥	PROPN
american_scientific_journal-2100	79	60	⎤	⎤	PROPN
american_scientific_journal-2100	79	61	(	(	PUNCT
american_scientific_journal-2100	79	62	mod	mod	PROPN
american_scientific_journal-2100	79	63	n	n	CCONJ
american_scientific_journal-2100	79	64	)	)	PUNCT
american_scientific_journal-2100	79	65	≡	≡	PROPN
american_scientific_journal-2100	79	66	⎣	⎣	ADJ
american_scientific_journal-2100	79	67	⎢	⎢	NOUN
american_scientific_journal-2100	79	68	⎢	⎢	NOUN
american_scientific_journal-2100	79	69	⎡	⎡	NOUN
american_scientific_journal-2100	79	70	(	(	PUNCT
american_scientific_journal-2100	79	71	𝑡𝑡11𝑤𝑤1)𝑠𝑠1	𝑡𝑡11𝑤𝑤1)𝑠𝑠1	X
american_scientific_journal-2100	79	72	(	(	PUNCT
american_scientific_journal-2100	79	73	𝑡𝑡12𝑤𝑤2)𝑠𝑠2	𝑡𝑡12𝑤𝑤2)𝑠𝑠2	PROPN
american_scientific_journal-2100	79	74	…	…	PUNCT
american_scientific_journal-2100	79	75	(	(	PUNCT
american_scientific_journal-2100	79	76	𝑡𝑡1𝑖𝑖𝑤𝑤𝑗𝑗)𝑠𝑠𝑗𝑗	𝑡𝑡1𝑖𝑖𝑤𝑤𝑗𝑗)𝑠𝑠𝑗𝑗	NOUN
american_scientific_journal-2100	79	77	(	(	PUNCT
american_scientific_journal-2100	79	78	𝑡𝑡21𝑤𝑤𝑗𝑗+1)𝑠𝑠𝑗𝑗+1	𝑡𝑡21𝑤𝑤𝑗𝑗+1)𝑠𝑠𝑗𝑗+1	NOUN
american_scientific_journal-2100	79	79	⋮	⋮	NOUN
american_scientific_journal-2100	79	80	(	(	PUNCT
american_scientific_journal-2100	79	81	𝑡𝑡22𝑤𝑤𝑗𝑗+2)𝑠𝑠𝑗𝑗+2	𝑡𝑡22𝑤𝑤𝑗𝑗+2)𝑠𝑠𝑗𝑗+2	NOUN
american_scientific_journal-2100	79	82	⋮	⋮	NOUN
american_scientific_journal-2100	79	83	…	…	PUNCT
american_scientific_journal-2100	79	84	⋮	⋮	NOUN
american_scientific_journal-2100	79	85	(	(	PUNCT
american_scientific_journal-2100	79	86	𝑡𝑡2𝑖𝑖𝑤𝑤2∗𝑗𝑗)𝑠𝑠2∗𝑗𝑗	𝑡𝑡2𝑖𝑖𝑤𝑤2∗𝑗𝑗)𝑠𝑠2∗𝑗𝑗	PROPN
american_scientific_journal-2100	79	87	⋮	⋮	NOUN
american_scientific_journal-2100	79	88	(	(	PUNCT
american_scientific_journal-2100	79	89	𝑡𝑡𝑖𝑖1𝑤𝑤(𝑖𝑖−1)∗𝑗𝑗+1)𝑠𝑠(𝑖𝑖−1)∗𝑗𝑗+1	𝑡𝑡𝑖𝑖1𝑤𝑤(𝑖𝑖−1)∗𝑗𝑗+1)𝑠𝑠(𝑖𝑖−1)∗𝑗𝑗+1	PROPN
american_scientific_journal-2100	79	90	(	(	PUNCT
american_scientific_journal-2100	79	91	𝑡𝑡𝑖𝑖2𝑤𝑤(𝑖𝑖−1)∗𝑗𝑗+2)𝑠𝑠(𝑖𝑖−1)∗𝑗𝑗+2	𝑡𝑡𝑖𝑖2𝑤𝑤(𝑖𝑖−1)∗𝑗𝑗+2)𝑠𝑠(𝑖𝑖−1)∗𝑗𝑗+2	NOUN
american_scientific_journal-2100	79	92	…	…	PUNCT
american_scientific_journal-2100	79	93	(	(	PUNCT
american_scientific_journal-2100	79	94	𝑡𝑡𝑖𝑖𝑖𝑖𝑤𝑤𝑘𝑘)𝑠𝑠𝑘𝑘	𝑡𝑡𝑖𝑖𝑖𝑖𝑤𝑤𝑘𝑘)𝑠𝑠𝑘𝑘	NOUN
american_scientific_journal-2100	79	95	⎦	⎦	NOUN
american_scientific_journal-2100	79	96	⎥	⎥	PROPN
american_scientific_journal-2100	79	97	⎥	⎥	PROPN
american_scientific_journal-2100	79	98	⎤	⎤	PROPN
american_scientific_journal-2100	79	99	(	(	PUNCT
american_scientific_journal-2100	79	100	mod	mod	PROPN
american_scientific_journal-2100	79	101	n	n	CCONJ
american_scientific_journal-2100	79	102	)	)	PUNCT
american_scientific_journal-2100	79	103	=	=	SYM
american_scientific_journal-2100	79	104	�	�	PROPN
american_scientific_journal-2100	79	105	𝑡𝑡11	𝑡𝑡11	PROPN
american_scientific_journal-2100	79	106	𝑡𝑡12	𝑡𝑡12	PROPN
american_scientific_journal-2100	79	107	…	…	PUNCT
american_scientific_journal-2100	79	108	𝑡𝑡1𝑖𝑖	𝑡𝑡1𝑖𝑖	NUM
american_scientific_journal-2100	79	109	𝑡𝑡21	𝑡𝑡21	PROPN
american_scientific_journal-2100	79	110	⋮	⋮	NOUN
american_scientific_journal-2100	79	111	𝑡𝑡22	𝑡𝑡22	PROPN
american_scientific_journal-2100	79	112	⋮	⋮	NOUN
american_scientific_journal-2100	79	113	…	…	PUNCT
american_scientific_journal-2100	79	114	⋮	⋮	NOUN
american_scientific_journal-2100	79	115	𝑡𝑡2𝑖𝑖	𝑡𝑡2𝑖𝑖	ADJ
american_scientific_journal-2100	79	116	⋮	⋮	NOUN
american_scientific_journal-2100	79	117	𝑡𝑡𝑖𝑖1	𝑡𝑡𝑖𝑖1	NOUN
american_scientific_journal-2100	79	118	𝑡𝑡𝑖𝑖2	𝑡𝑡𝑖𝑖2	NOUN
american_scientific_journal-2100	79	119	…	…	PUNCT
american_scientific_journal-2100	79	120	𝑡𝑡𝑖𝑖𝑖𝑖	𝑡𝑡𝑖𝑖𝑖𝑖	ADJ
american_scientific_journal-2100	79	121	�	�	PROPN
american_scientific_journal-2100	79	122	=	=	SYM
american_scientific_journal-2100	79	123	𝑇𝑇𝑖𝑖𝑖𝑖.	𝑇𝑇𝑖𝑖𝑖𝑖.	ADV
american_scientific_journal-2100	79	124	american	american	ADJ
american_scientific_journal-2100	79	125	scientific	scientific	ADJ
american_scientific_journal-2100	79	126	research	research	PROPN
american_scientific_journal-2100	79	127	journal	journal	NOUN
american_scientific_journal-2100	79	128	for	for	ADP
american_scientific_journal-2100	79	129	engineering	engineering	NOUN
american_scientific_journal-2100	79	130	,	,	PUNCT
american_scientific_journal-2100	79	131	technology	technology	NOUN
american_scientific_journal-2100	79	132	,	,	PUNCT
american_scientific_journal-2100	79	133	and	and	CCONJ
american_scientific_journal-2100	79	134	sciences	science	NOUN
american_scientific_journal-2100	79	135	(	(	PUNCT
american_scientific_journal-2100	79	136	asrjets	asrjet	NOUN
american_scientific_journal-2100	79	137	)	)	PUNCT
american_scientific_journal-2100	79	138	(	(	PUNCT
american_scientific_journal-2100	79	139	2016	2016	NUM
american_scientific_journal-2100	79	140	)	)	PUNCT
american_scientific_journal-2100	79	141	volume	volume	NOUN
american_scientific_journal-2100	79	142	24	24	NUM
american_scientific_journal-2100	79	143	,	,	PUNCT
american_scientific_journal-2100	79	144	no	no	DET
american_scientific_journal-2100	79	145	1	1	NUM
american_scientific_journal-2100	79	146	,	,	PUNCT
american_scientific_journal-2100	79	147	pp	pp	ADV
american_scientific_journal-2100	79	148	270	270	NUM
american_scientific_journal-2100	79	149	-	-	SYM
american_scientific_journal-2100	79	150	279	279	NUM
american_scientific_journal-2100	79	151	276	276	NUM
american_scientific_journal-2100	79	152	4.4	4.4	NUM
american_scientific_journal-2100	79	153	.	.	PUNCT
american_scientific_journal-2100	80	1	an	an	DET
american_scientific_journal-2100	80	2	illustration	illustration	NOUN
american_scientific_journal-2100	80	3	of	of	ADP
american_scientific_journal-2100	80	4	this	this	DET
american_scientific_journal-2100	80	5	new	new	ADJ
american_scientific_journal-2100	80	6	modification	modification	NOUN
american_scientific_journal-2100	80	7	over	over	ADP
american_scientific_journal-2100	80	8	matrices	matrix	NOUN
american_scientific_journal-2100	80	9	suppose	suppose	VERB
american_scientific_journal-2100	80	10	that	that	SCONJ
american_scientific_journal-2100	80	11	ahmed	ahmed	PROPN
american_scientific_journal-2100	80	12	wants	want	VERB
american_scientific_journal-2100	80	13	to	to	PART
american_scientific_journal-2100	80	14	encrypt	encrypt	VERB
american_scientific_journal-2100	80	15	and	and	CCONJ
american_scientific_journal-2100	80	16	send	send	VERB
american_scientific_journal-2100	80	17	a	a	DET
american_scientific_journal-2100	80	18	matrix	matrix	NOUN
american_scientific_journal-2100	80	19	t	t	X
american_scientific_journal-2100	80	20	=	=	SYM
american_scientific_journal-2100	80	21	�	�	PROPN
american_scientific_journal-2100	80	22	20	20	NUM
american_scientific_journal-2100	80	23	02	02	NUM
american_scientific_journal-2100	80	24	08	08	NUM
american_scientific_journal-2100	80	25	25	25	NUM
american_scientific_journal-2100	80	26	05	05	NUM
american_scientific_journal-2100	80	27	11	11	NUM
american_scientific_journal-2100	80	28	04	04	NUM
american_scientific_journal-2100	80	29	28	28	NUM
american_scientific_journal-2100	80	30	11	11	NUM
american_scientific_journal-2100	80	31	06	06	NUM
american_scientific_journal-2100	80	32	22	22	NUM
american_scientific_journal-2100	80	33	12	12	NUM
american_scientific_journal-2100	80	34	09	09	NUM
american_scientific_journal-2100	80	35	23	23	NUM
american_scientific_journal-2100	80	36	08	08	NUM
american_scientific_journal-2100	80	37	10	10	NUM
american_scientific_journal-2100	80	38	�	�	PROPN
american_scientific_journal-2100	80	39	,	,	PUNCT
american_scientific_journal-2100	80	40	which	which	PRON
american_scientific_journal-2100	80	41	is	be	AUX
american_scientific_journal-2100	80	42	a	a	DET
american_scientific_journal-2100	80	43	partition	partition	NOUN
american_scientific_journal-2100	80	44	of	of	ADP
american_scientific_journal-2100	80	45	an	an	DET
american_scientific_journal-2100	80	46	image	image	NOUN
american_scientific_journal-2100	80	47	matrix	matrix	NOUN
american_scientific_journal-2100	80	48	,	,	PUNCT
american_scientific_journal-2100	80	49	to	to	ADP
american_scientific_journal-2100	80	50	mike	mike	PROPN
american_scientific_journal-2100	80	51	whose	whose	DET
american_scientific_journal-2100	80	52	public	public	ADJ
american_scientific_journal-2100	80	53	key	key	NOUN
american_scientific_journal-2100	80	54	is	be	AUX
american_scientific_journal-2100	80	55	(	(	PUNCT
american_scientific_journal-2100	80	56	𝑤𝑤1	𝑤𝑤1	ADJ
american_scientific_journal-2100	80	57	,	,	PUNCT
american_scientific_journal-2100	80	58	𝑤𝑤2	𝑤𝑤2	NOUN
american_scientific_journal-2100	80	59	,	,	PUNCT
american_scientific_journal-2100	80	60	𝑤𝑤3	𝑤𝑤3	ADJ
american_scientific_journal-2100	80	61	,	,	PUNCT
american_scientific_journal-2100	80	62	𝑤𝑤4,𝑤𝑤5	𝑤𝑤4,𝑤𝑤5	PROPN
american_scientific_journal-2100	80	63	,	,	PUNCT
american_scientific_journal-2100	80	64	n	n	CCONJ
american_scientific_journal-2100	80	65	)	)	PUNCT
american_scientific_journal-2100	80	66	=	=	SYM
american_scientific_journal-2100	80	67	(	(	PUNCT
american_scientific_journal-2100	80	68	7	7	NUM
american_scientific_journal-2100	80	69	,	,	PUNCT
american_scientific_journal-2100	80	70	11,13,23,53	11,13,23,53	NUM
american_scientific_journal-2100	80	71	,	,	PUNCT
american_scientific_journal-2100	80	72	143	143	NUM
american_scientific_journal-2100	80	73	)	)	PUNCT
american_scientific_journal-2100	80	74	and	and	CCONJ
american_scientific_journal-2100	80	75	corresponding	correspond	VERB
american_scientific_journal-2100	80	76	private	private	ADJ
american_scientific_journal-2100	80	77	key	key	NOUN
american_scientific_journal-2100	80	78	(	(	PUNCT
american_scientific_journal-2100	80	79	𝑠𝑠1	𝑠𝑠1	NOUN
american_scientific_journal-2100	80	80	,	,	PUNCT
american_scientific_journal-2100	80	81	𝑠𝑠2	𝑠𝑠2	NOUN
american_scientific_journal-2100	80	82	,	,	PUNCT
american_scientific_journal-2100	80	83	𝑠𝑠3	𝑠𝑠3	X
american_scientific_journal-2100	80	84	,	,	PUNCT
american_scientific_journal-2100	80	85	𝑠𝑠4	𝑠𝑠4	PROPN
american_scientific_journal-2100	80	86	,	,	PUNCT
american_scientific_journal-2100	80	87	𝑠𝑠5,𝑛𝑛)=	𝑠𝑠5,𝑛𝑛)=	PROPN
american_scientific_journal-2100	80	88	(	(	PUNCT
american_scientific_journal-2100	80	89	103,11,37,47,77	103,11,37,47,77	NUM
american_scientific_journal-2100	80	90	,	,	PUNCT
american_scientific_journal-2100	80	91	143	143	NUM
american_scientific_journal-2100	80	92	)	)	PUNCT
american_scientific_journal-2100	80	93	.	.	PUNCT
american_scientific_journal-2100	81	1	encryption	encryption	NOUN
american_scientific_journal-2100	81	2	procedure	procedure	NOUN
american_scientific_journal-2100	81	3	:	:	PUNCT
american_scientific_journal-2100	81	4	mike	mike	PROPN
american_scientific_journal-2100	81	5	's	's	PART
american_scientific_journal-2100	81	6	public	public	ADJ
american_scientific_journal-2100	81	7	key	key	NOUN
american_scientific_journal-2100	81	8	(	(	PUNCT
american_scientific_journal-2100	81	9	𝑤𝑤1	𝑤𝑤1	ADJ
american_scientific_journal-2100	81	10	,	,	PUNCT
american_scientific_journal-2100	81	11	𝑤𝑤2	𝑤𝑤2	NOUN
american_scientific_journal-2100	81	12	,	,	PUNCT
american_scientific_journal-2100	81	13	𝑤𝑤3	𝑤𝑤3	NOUN
american_scientific_journal-2100	81	14	,	,	PUNCT
american_scientific_journal-2100	81	15	𝑤𝑤4	𝑤𝑤4	PROPN
american_scientific_journal-2100	81	16	,	,	PUNCT
american_scientific_journal-2100	81	17	𝑤𝑤5	𝑤𝑤5	ADV
american_scientific_journal-2100	81	18	,	,	PUNCT
american_scientific_journal-2100	81	19	n	n	CCONJ
american_scientific_journal-2100	81	20	)	)	PUNCT
american_scientific_journal-2100	81	21	=	=	SYM
american_scientific_journal-2100	81	22	(	(	PUNCT
american_scientific_journal-2100	81	23	7	7	NUM
american_scientific_journal-2100	81	24	,	,	PUNCT
american_scientific_journal-2100	81	25	11,13,23,53	11,13,23,53	NUM
american_scientific_journal-2100	81	26	,	,	PUNCT
american_scientific_journal-2100	81	27	143	143	NUM
american_scientific_journal-2100	81	28	)	)	PUNCT
american_scientific_journal-2100	81	29	is	be	AUX
american_scientific_journal-2100	81	30	used	use	VERB
american_scientific_journal-2100	81	31	by	by	ADP
american_scientific_journal-2100	81	32	ahmed	ahme	VERB
american_scientific_journal-2100	81	33	to	to	PART
american_scientific_journal-2100	81	34	encrypt	encrypt	VERB
american_scientific_journal-2100	81	35	the	the	DET
american_scientific_journal-2100	81	36	matrix	matrix	NOUN
american_scientific_journal-2100	81	37	𝑇𝑇4𝑥𝑥4	𝑇𝑇4𝑥𝑥4	NOUN
american_scientific_journal-2100	81	38	=	=	SYM
american_scientific_journal-2100	81	39	�	�	PROPN
american_scientific_journal-2100	81	40	20	20	NUM
american_scientific_journal-2100	81	41	02	02	NUM
american_scientific_journal-2100	81	42	08	08	NUM
american_scientific_journal-2100	81	43	25	25	NUM
american_scientific_journal-2100	81	44	05	05	NUM
american_scientific_journal-2100	81	45	11	11	NUM
american_scientific_journal-2100	81	46	04	04	NUM
american_scientific_journal-2100	81	47	28	28	NUM
american_scientific_journal-2100	81	48	11	11	NUM
american_scientific_journal-2100	81	49	06	06	NUM
american_scientific_journal-2100	81	50	22	22	NUM
american_scientific_journal-2100	81	51	12	12	NUM
american_scientific_journal-2100	81	52	09	09	NUM
american_scientific_journal-2100	81	53	23	23	NUM
american_scientific_journal-2100	81	54	08	08	NUM
american_scientific_journal-2100	81	55	10	10	NUM
american_scientific_journal-2100	81	56	�	�	PROPN
american_scientific_journal-2100	81	57	as	as	ADP
american_scientific_journal-2100	81	58	the	the	DET
american_scientific_journal-2100	81	59	following	following	NOUN
american_scientific_journal-2100	81	60	;	;	PUNCT
american_scientific_journal-2100	81	61	•	•	NUM
american_scientific_journal-2100	81	62	mike	mike	PROPN
american_scientific_journal-2100	81	63	's	's	PART
american_scientific_journal-2100	81	64	public	public	ADJ
american_scientific_journal-2100	81	65	key	key	NOUN
american_scientific_journal-2100	81	66	(	(	PUNCT
american_scientific_journal-2100	81	67	𝑤𝑤1	𝑤𝑤1	ADJ
american_scientific_journal-2100	81	68	,	,	PUNCT
american_scientific_journal-2100	81	69	𝑤𝑤2	𝑤𝑤2	NOUN
american_scientific_journal-2100	81	70	,	,	PUNCT
american_scientific_journal-2100	81	71	𝑤𝑤3	𝑤𝑤3	NOUN
american_scientific_journal-2100	81	72	,	,	PUNCT
american_scientific_journal-2100	81	73	𝑤𝑤4	𝑤𝑤4	PROPN
american_scientific_journal-2100	81	74	,	,	PUNCT
american_scientific_journal-2100	81	75	𝑤𝑤5	𝑤𝑤5	ADV
american_scientific_journal-2100	81	76	,	,	PUNCT
american_scientific_journal-2100	81	77	n	n	CCONJ
american_scientific_journal-2100	81	78	)	)	PUNCT
american_scientific_journal-2100	81	79	=	=	SYM
american_scientific_journal-2100	81	80	(	(	PUNCT
american_scientific_journal-2100	81	81	7	7	NUM
american_scientific_journal-2100	81	82	,	,	PUNCT
american_scientific_journal-2100	81	83	11,13,23,53	11,13,23,53	NUM
american_scientific_journal-2100	81	84	,	,	PUNCT
american_scientific_journal-2100	81	85	143	143	NUM
american_scientific_journal-2100	81	86	)	)	PUNCT
american_scientific_journal-2100	81	87	should	should	AUX
american_scientific_journal-2100	81	88	be	be	AUX
american_scientific_journal-2100	81	89	used	use	VERB
american_scientific_journal-2100	81	90	to	to	PART
american_scientific_journal-2100	81	91	form	form	VERB
american_scientific_journal-2100	81	92	the	the	DET
american_scientific_journal-2100	81	93	encryption	encryption	NOUN
american_scientific_journal-2100	81	94	key	key	NOUN
american_scientific_journal-2100	81	95	matrix	matrix	NOUN
american_scientific_journal-2100	81	96	𝑊𝑊4𝑥𝑥4	𝑊𝑊4𝑥𝑥4	NOUN
american_scientific_journal-2100	81	97	such	such	ADJ
american_scientific_journal-2100	81	98	that	that	SCONJ
american_scientific_journal-2100	81	99	𝑊𝑊4𝑥𝑥4	𝑊𝑊4𝑥𝑥4	PROPN
american_scientific_journal-2100	81	100	=	=	SYM
american_scientific_journal-2100	81	101	�	�	PROPN
american_scientific_journal-2100	81	102	07	07	NUM
american_scientific_journal-2100	81	103	11	11	NUM
american_scientific_journal-2100	81	104	13	13	NUM
american_scientific_journal-2100	81	105	23	23	NUM
american_scientific_journal-2100	81	106	53	53	NUM
american_scientific_journal-2100	81	107	07	07	NUM
american_scientific_journal-2100	81	108	11	11	NUM
american_scientific_journal-2100	81	109	13	13	NUM
american_scientific_journal-2100	81	110	23	23	NUM
american_scientific_journal-2100	81	111	13	13	NUM
american_scientific_journal-2100	81	112	53	53	NUM
american_scientific_journal-2100	81	113	23	23	NUM
american_scientific_journal-2100	81	114	07	07	NUM
american_scientific_journal-2100	81	115	53	53	NUM
american_scientific_journal-2100	81	116	11	11	NUM
american_scientific_journal-2100	81	117	07	07	NUM
american_scientific_journal-2100	81	118	�	�	PROPN
american_scientific_journal-2100	81	119	.	.	PUNCT
american_scientific_journal-2100	81	120	•	•	NUM
american_scientific_journal-2100	81	121	the	the	DET
american_scientific_journal-2100	81	122	following	follow	VERB
american_scientific_journal-2100	81	123	defined	define	VERB
american_scientific_journal-2100	81	124	encryption	encryption	NOUN
american_scientific_journal-2100	81	125	algorithm	algorithm	NOUN
american_scientific_journal-2100	81	126	is	be	AUX
american_scientific_journal-2100	81	127	used	use	VERB
american_scientific_journal-2100	81	128	to	to	PART
american_scientific_journal-2100	81	129	encrypt	encrypt	VERB
american_scientific_journal-2100	81	130	𝑇𝑇4𝑥𝑥4	𝑇𝑇4𝑥𝑥4	PROPN
american_scientific_journal-2100	81	131	:	:	PUNCT
american_scientific_journal-2100	81	132	𝐶𝐶𝑅𝑅	𝐶𝐶𝑅𝑅	PROPN
american_scientific_journal-2100	81	133	=	=	SYM
american_scientific_journal-2100	81	134	𝑊𝑊4𝑥𝑥4	𝑊𝑊4𝑥𝑥4	PROPN
american_scientific_journal-2100	81	135	®	®	NOUN
american_scientific_journal-2100	81	136	𝑇𝑇4𝑥𝑥4(𝑚𝑚𝑚𝑚𝑚𝑚	𝑇𝑇4𝑥𝑥4(𝑚𝑚𝑚𝑚𝑚𝑚	NOUN
american_scientific_journal-2100	81	137	143	143	NUM
american_scientific_journal-2100	81	138	)	)	PUNCT
american_scientific_journal-2100	81	139	≡	≡	PROPN
american_scientific_journal-2100	81	140	�	�	PROPN
american_scientific_journal-2100	82	1	07	07	NUM
american_scientific_journal-2100	82	2	11	11	NUM
american_scientific_journal-2100	82	3	13	13	NUM
american_scientific_journal-2100	82	4	23	23	NUM
american_scientific_journal-2100	82	5	53	53	NUM
american_scientific_journal-2100	82	6	07	07	NUM
american_scientific_journal-2100	82	7	11	11	NUM
american_scientific_journal-2100	82	8	13	13	NUM
american_scientific_journal-2100	82	9	23	23	NUM
american_scientific_journal-2100	82	10	13	13	NUM
american_scientific_journal-2100	82	11	53	53	NUM
american_scientific_journal-2100	82	12	23	23	NUM
american_scientific_journal-2100	82	13	07	07	NUM
american_scientific_journal-2100	82	14	53	53	NUM
american_scientific_journal-2100	82	15	11	11	NUM
american_scientific_journal-2100	82	16	07	07	NUM
american_scientific_journal-2100	82	17	�	�	PROPN
american_scientific_journal-2100	82	18	®	®	NOUN
american_scientific_journal-2100	82	19	�	�	PROPN
american_scientific_journal-2100	82	20	20	20	NUM
american_scientific_journal-2100	82	21	02	02	NUM
american_scientific_journal-2100	82	22	08	08	NUM
american_scientific_journal-2100	82	23	25	25	NUM
american_scientific_journal-2100	82	24	05	05	NUM
american_scientific_journal-2100	82	25	11	11	NUM
american_scientific_journal-2100	82	26	04	04	NUM
american_scientific_journal-2100	82	27	28	28	NUM
american_scientific_journal-2100	82	28	11	11	NUM
american_scientific_journal-2100	82	29	06	06	NUM
american_scientific_journal-2100	82	30	22	22	NUM
american_scientific_journal-2100	82	31	12	12	NUM
american_scientific_journal-2100	82	32	09	09	NUM
american_scientific_journal-2100	82	33	23	23	NUM
american_scientific_journal-2100	82	34	08	08	NUM
american_scientific_journal-2100	82	35	10	10	NUM
american_scientific_journal-2100	82	36	�	�	NOUN
american_scientific_journal-2100	82	37	=	=	SYM
american_scientific_journal-2100	82	38	⎣	⎣	ADJ
american_scientific_journal-2100	82	39	⎢	⎢	NOUN
american_scientific_journal-2100	82	40	⎢	⎢	NOUN
american_scientific_journal-2100	82	41	⎢	⎢	NOUN
american_scientific_journal-2100	82	42	⎡	⎡	NOUN
american_scientific_journal-2100	82	43	(	(	PUNCT
american_scientific_journal-2100	82	44	20)7	20)7	NUM
american_scientific_journal-2100	82	45	(	(	PUNCT
american_scientific_journal-2100	82	46	02)11	02)11	NUM
american_scientific_journal-2100	82	47	(	(	PUNCT
american_scientific_journal-2100	82	48	08)13	08)13	NUM
american_scientific_journal-2100	82	49	(	(	PUNCT
american_scientific_journal-2100	82	50	25)23	25)23	NUM
american_scientific_journal-2100	82	51	(	(	PUNCT
american_scientific_journal-2100	82	52	05)53	05)53	NUM
american_scientific_journal-2100	82	53	(	(	PUNCT
american_scientific_journal-2100	82	54	11)07	11)07	NUM
american_scientific_journal-2100	82	55	(	(	PUNCT
american_scientific_journal-2100	82	56	04)11	04)11	NUM
american_scientific_journal-2100	82	57	(	(	PUNCT
american_scientific_journal-2100	82	58	28)13	28)13	NUM
american_scientific_journal-2100	82	59	(	(	PUNCT
american_scientific_journal-2100	82	60	11)23	11)23	NUM
american_scientific_journal-2100	82	61	(	(	PUNCT
american_scientific_journal-2100	82	62	06)13	06)13	NUM
american_scientific_journal-2100	82	63	(	(	PUNCT
american_scientific_journal-2100	82	64	22)53	22)53	NUM
american_scientific_journal-2100	82	65	(	(	PUNCT
american_scientific_journal-2100	82	66	12)23	12)23	NUM
american_scientific_journal-2100	82	67	(	(	PUNCT
american_scientific_journal-2100	82	68	09)07	09)07	NUM
american_scientific_journal-2100	82	69	(	(	PUNCT
american_scientific_journal-2100	82	70	23)53	23)53	NUM
american_scientific_journal-2100	82	71	(	(	PUNCT
american_scientific_journal-2100	82	72	08)11	08)11	NUM
american_scientific_journal-2100	82	73	(	(	PUNCT
american_scientific_journal-2100	82	74	10)07	10)07	NUM
american_scientific_journal-2100	82	75	⎦	⎦	NOUN
american_scientific_journal-2100	82	76	⎥	⎥	PROPN
american_scientific_journal-2100	82	77	⎥	⎥	PROPN
american_scientific_journal-2100	82	78	⎥	⎥	PROPN
american_scientific_journal-2100	82	79	⎤	⎤	PROPN
american_scientific_journal-2100	82	80	(	(	PUNCT
american_scientific_journal-2100	82	81	mod	mod	PROPN
american_scientific_journal-2100	82	82	143	143	NUM
american_scientific_journal-2100	82	83	)	)	PUNCT
american_scientific_journal-2100	82	84	≡	≡	PROPN
american_scientific_journal-2100	82	85	�	�	PROPN
american_scientific_journal-2100	82	86	136	136	NUM
american_scientific_journal-2100	82	87	46	46	NUM
american_scientific_journal-2100	82	88	138	138	NUM
american_scientific_journal-2100	82	89	38	38	NUM
american_scientific_journal-2100	82	90	70	70	NUM
american_scientific_journal-2100	82	91	132	132	NUM
american_scientific_journal-2100	82	92	114	114	NUM
american_scientific_journal-2100	82	93	106	106	NUM
american_scientific_journal-2100	82	94	110	110	NUM
american_scientific_journal-2100	82	95	84	84	NUM
american_scientific_journal-2100	82	96	55	55	NUM
american_scientific_journal-2100	82	97	12	12	NUM
american_scientific_journal-2100	82	98	48	48	NUM
american_scientific_journal-2100	82	99	56	56	NUM
american_scientific_journal-2100	82	100	96	96	NUM
american_scientific_journal-2100	82	101	10	10	NUM
american_scientific_journal-2100	82	102	�	�	PROPN
american_scientific_journal-2100	82	103	.	.	PUNCT
american_scientific_journal-2100	83	1	•	•	NUM
american_scientific_journal-2100	84	1	the	the	DET
american_scientific_journal-2100	84	2	cipher	cipher	ADJ
american_scientific_journal-2100	84	3	matrix	matrix	NOUN
american_scientific_journal-2100	84	4	will	will	AUX
american_scientific_journal-2100	84	5	be	be	AUX
american_scientific_journal-2100	84	6	transmitted	transmit	VERB
american_scientific_journal-2100	84	7	to	to	ADP
american_scientific_journal-2100	84	8	mike	mike	PROPN
american_scientific_journal-2100	84	9	as	as	ADP
american_scientific_journal-2100	84	10	,	,	PUNCT
american_scientific_journal-2100	84	11	𝐶𝐶𝑅𝑅	𝐶𝐶𝑅𝑅	PROPN
american_scientific_journal-2100	84	12	=	=	SYM
american_scientific_journal-2100	84	13	�	�	PROPN
american_scientific_journal-2100	84	14	136	136	NUM
american_scientific_journal-2100	84	15	46	46	NUM
american_scientific_journal-2100	84	16	138	138	NUM
american_scientific_journal-2100	84	17	38	38	NUM
american_scientific_journal-2100	84	18	70	70	NUM
american_scientific_journal-2100	84	19	132	132	NUM
american_scientific_journal-2100	84	20	114	114	NUM
american_scientific_journal-2100	84	21	106	106	NUM
american_scientific_journal-2100	84	22	110	110	NUM
american_scientific_journal-2100	84	23	84	84	NUM
american_scientific_journal-2100	84	24	55	55	NUM
american_scientific_journal-2100	84	25	12	12	NUM
american_scientific_journal-2100	84	26	48	48	NUM
american_scientific_journal-2100	84	27	56	56	NUM
american_scientific_journal-2100	84	28	96	96	NUM
american_scientific_journal-2100	84	29	10	10	NUM
american_scientific_journal-2100	84	30	�	�	PROPN
american_scientific_journal-2100	84	31	.	.	PUNCT
american_scientific_journal-2100	84	32	decryption	decryption	NOUN
american_scientific_journal-2100	84	33	procedure	procedure	NOUN
american_scientific_journal-2100	84	34	:	:	PUNCT
american_scientific_journal-2100	84	35	mike	mike	PROPN
american_scientific_journal-2100	84	36	uses	use	VERB
american_scientific_journal-2100	84	37	his	his	PRON
american_scientific_journal-2100	84	38	private	private	ADJ
american_scientific_journal-2100	84	39	key	key	NOUN
american_scientific_journal-2100	84	40	(	(	PUNCT
american_scientific_journal-2100	84	41	𝑠𝑠1	𝑠𝑠1	NOUN
american_scientific_journal-2100	84	42	,	,	PUNCT
american_scientific_journal-2100	84	43	𝑠𝑠2	𝑠𝑠2	NOUN
american_scientific_journal-2100	84	44	,	,	PUNCT
american_scientific_journal-2100	84	45	𝑠𝑠3	𝑠𝑠3	X
american_scientific_journal-2100	84	46	,	,	PUNCT
american_scientific_journal-2100	84	47	𝑠𝑠4	𝑠𝑠4	PROPN
american_scientific_journal-2100	84	48	,	,	PUNCT
american_scientific_journal-2100	84	49	𝑠𝑠5,𝑛𝑛)=	𝑠𝑠5,𝑛𝑛)=	PROPN
american_scientific_journal-2100	84	50	(	(	PUNCT
american_scientific_journal-2100	84	51	103,11,37,47,77	103,11,37,47,77	NUM
american_scientific_journal-2100	84	52	,	,	PUNCT
american_scientific_journal-2100	84	53	143	143	NUM
american_scientific_journal-2100	84	54	)	)	PUNCT
american_scientific_journal-2100	84	55	to	to	PART
american_scientific_journal-2100	84	56	decrypt	decrypt	VERB
american_scientific_journal-2100	84	57	𝐶𝐶𝑅𝑅	𝐶𝐶𝑅𝑅	PROPN
american_scientific_journal-2100	84	58	after	after	ADP
american_scientific_journal-2100	84	59	using	use	VERB
american_scientific_journal-2100	84	60	𝑠𝑠1	𝑠𝑠1	NOUN
american_scientific_journal-2100	84	61	,	,	PUNCT
american_scientific_journal-2100	84	62	𝑠𝑠2	𝑠𝑠2	NOUN
american_scientific_journal-2100	84	63	,	,	PUNCT
american_scientific_journal-2100	84	64	𝑠𝑠3	𝑠𝑠3	X
american_scientific_journal-2100	84	65	,	,	PUNCT
american_scientific_journal-2100	84	66	𝑠𝑠4	𝑠𝑠4	PROPN
american_scientific_journal-2100	84	67	,	,	PUNCT
american_scientific_journal-2100	84	68	𝑠𝑠5	𝑠𝑠5	PROPN
american_scientific_journal-2100	84	69	=	=	NOUN
american_scientific_journal-2100	84	70	103,11,37,47,77	103,11,37,47,77	NUM
american_scientific_journal-2100	84	71	to	to	PART
american_scientific_journal-2100	84	72	form	form	VERB
american_scientific_journal-2100	84	73	the	the	DET
american_scientific_journal-2100	84	74	corresponding	correspond	VERB
american_scientific_journal-2100	84	75	decryption	decryption	NOUN
american_scientific_journal-2100	84	76	key	key	ADJ
american_scientific_journal-2100	84	77	matrix	matrix	NOUN
american_scientific_journal-2100	84	78	𝑆𝑆4𝑥𝑥4	𝑆𝑆4𝑥𝑥4	NOUN
american_scientific_journal-2100	84	79	so	so	SCONJ
american_scientific_journal-2100	84	80	that	that	SCONJ
american_scientific_journal-2100	84	81	,	,	PUNCT
american_scientific_journal-2100	84	82	𝑆𝑆4𝑥𝑥4	𝑆𝑆4𝑥𝑥4	PROPN
american_scientific_journal-2100	84	83	=	=	SYM
american_scientific_journal-2100	84	84	�	�	PROPN
american_scientific_journal-2100	84	85	103	103	NUM
american_scientific_journal-2100	84	86	11	11	NUM
american_scientific_journal-2100	84	87	37	37	NUM
american_scientific_journal-2100	84	88	47	47	NUM
american_scientific_journal-2100	84	89	77	77	NUM
american_scientific_journal-2100	84	90	103	103	NUM
american_scientific_journal-2100	84	91	11	11	NUM
american_scientific_journal-2100	84	92	37	37	NUM
american_scientific_journal-2100	84	93	47	47	NUM
american_scientific_journal-2100	84	94	37	37	NUM
american_scientific_journal-2100	84	95	77	77	NUM
american_scientific_journal-2100	84	96	47	47	NUM
american_scientific_journal-2100	84	97	103	103	NUM
american_scientific_journal-2100	84	98	77	77	NUM
american_scientific_journal-2100	84	99	11	11	NUM
american_scientific_journal-2100	84	100	103	103	NUM
american_scientific_journal-2100	84	101	�	�	PROPN
american_scientific_journal-2100	84	102	.	.	PUNCT
american_scientific_journal-2100	85	1	american	american	PROPN
american_scientific_journal-2100	85	2	scientific	scientific	PROPN
american_scientific_journal-2100	85	3	research	research	PROPN
american_scientific_journal-2100	85	4	journal	journal	NOUN
american_scientific_journal-2100	85	5	for	for	ADP
american_scientific_journal-2100	85	6	engineering	engineering	NOUN
american_scientific_journal-2100	85	7	,	,	PUNCT
american_scientific_journal-2100	85	8	technology	technology	NOUN
american_scientific_journal-2100	85	9	,	,	PUNCT
american_scientific_journal-2100	85	10	and	and	CCONJ
american_scientific_journal-2100	85	11	sciences	science	NOUN
american_scientific_journal-2100	85	12	(	(	PUNCT
american_scientific_journal-2100	85	13	asrjets	asrjet	NOUN
american_scientific_journal-2100	85	14	)	)	PUNCT
american_scientific_journal-2100	85	15	(	(	PUNCT
american_scientific_journal-2100	85	16	2016	2016	NUM
american_scientific_journal-2100	85	17	)	)	PUNCT
american_scientific_journal-2100	85	18	volume	volume	NOUN
american_scientific_journal-2100	85	19	24	24	NUM
american_scientific_journal-2100	85	20	,	,	PUNCT
american_scientific_journal-2100	85	21	no	no	DET
american_scientific_journal-2100	85	22	1	1	NUM
american_scientific_journal-2100	85	23	,	,	PUNCT
american_scientific_journal-2100	85	24	pp	pp	ADV
american_scientific_journal-2100	85	25	270	270	NUM
american_scientific_journal-2100	85	26	-	-	SYM
american_scientific_journal-2100	85	27	279	279	NUM
american_scientific_journal-2100	85	28	277	277	NUM
american_scientific_journal-2100	85	29	•	•	NOUN
american_scientific_journal-2100	85	30	the	the	DET
american_scientific_journal-2100	85	31	matrix	matrix	NOUN
american_scientific_journal-2100	85	32	𝐶𝐶𝑅𝑅	𝐶𝐶𝑅𝑅	PROPN
american_scientific_journal-2100	85	33	=	=	SYM
american_scientific_journal-2100	85	34	�	�	PROPN
american_scientific_journal-2100	85	35	136	136	NUM
american_scientific_journal-2100	85	36	46	46	NUM
american_scientific_journal-2100	85	37	138	138	NUM
american_scientific_journal-2100	85	38	38	38	NUM
american_scientific_journal-2100	85	39	70	70	NUM
american_scientific_journal-2100	85	40	132	132	NUM
american_scientific_journal-2100	85	41	114	114	NUM
american_scientific_journal-2100	85	42	106	106	NUM
american_scientific_journal-2100	85	43	110	110	NUM
american_scientific_journal-2100	85	44	84	84	NUM
american_scientific_journal-2100	85	45	55	55	NUM
american_scientific_journal-2100	85	46	12	12	NUM
american_scientific_journal-2100	85	47	48	48	NUM
american_scientific_journal-2100	85	48	56	56	NUM
american_scientific_journal-2100	85	49	96	96	NUM
american_scientific_journal-2100	85	50	10	10	NUM
american_scientific_journal-2100	85	51	�	�	PROPN
american_scientific_journal-2100	85	52	can	can	AUX
american_scientific_journal-2100	85	53	be	be	AUX
american_scientific_journal-2100	85	54	decrypted	decrypt	VERB
american_scientific_journal-2100	85	55	to	to	PART
american_scientific_journal-2100	85	56	obtain	obtain	VERB
american_scientific_journal-2100	85	57	the	the	DET
american_scientific_journal-2100	85	58	plain	plain	ADJ
american_scientific_journal-2100	85	59	matrix	matrix	NOUN
american_scientific_journal-2100	85	60	𝑇𝑇4𝑥𝑥4using	𝑇𝑇4𝑥𝑥4use	VERB
american_scientific_journal-2100	85	61	the	the	DET
american_scientific_journal-2100	85	62	following	follow	VERB
american_scientific_journal-2100	85	63	defined	define	VERB
american_scientific_journal-2100	85	64	algorithm	algorithm	NOUN
american_scientific_journal-2100	85	65	:	:	PUNCT
american_scientific_journal-2100	85	66	𝑇𝑇4𝑥𝑥4	𝑇𝑇4𝑥𝑥4	PROPN
american_scientific_journal-2100	85	67	=	=	SYM
american_scientific_journal-2100	85	68	𝑆𝑆4𝑥𝑥4	𝑆𝑆4𝑥𝑥4	PROPN
american_scientific_journal-2100	85	69	®	®	NOUN
american_scientific_journal-2100	85	70	𝐶𝐶𝑅𝑅(𝑚𝑚𝑚𝑚𝑚𝑚	𝐶𝐶𝑅𝑅(𝑚𝑚𝑚𝑚𝑚𝑚	PRON
american_scientific_journal-2100	85	71	𝑛𝑛	𝑛𝑛	NOUN
american_scientific_journal-2100	85	72	)	)	PUNCT
american_scientific_journal-2100	85	73	𝑇𝑇4𝑥𝑥4	𝑇𝑇4𝑥𝑥4	NOUN
american_scientific_journal-2100	85	74	=	=	SYM
american_scientific_journal-2100	85	75	𝑆𝑆4𝑥𝑥4	𝑆𝑆4𝑥𝑥4	PROPN
american_scientific_journal-2100	85	76	®	®	NOUN
american_scientific_journal-2100	85	77	𝐶𝐶𝑅𝑅(𝑚𝑚𝑚𝑚𝑚𝑚	𝐶𝐶𝑅𝑅(𝑚𝑚𝑚𝑚𝑚𝑚	PROPN
american_scientific_journal-2100	85	78	143)=	143)=	NUM
american_scientific_journal-2100	85	79	�	�	PROPN
american_scientific_journal-2100	85	80	103	103	NUM
american_scientific_journal-2100	85	81	11	11	NUM
american_scientific_journal-2100	85	82	37	37	NUM
american_scientific_journal-2100	85	83	47	47	NUM
american_scientific_journal-2100	85	84	77	77	NUM
american_scientific_journal-2100	85	85	103	103	NUM
american_scientific_journal-2100	85	86	11	11	NUM
american_scientific_journal-2100	85	87	37	37	NUM
american_scientific_journal-2100	85	88	47	47	NUM
american_scientific_journal-2100	85	89	37	37	NUM
american_scientific_journal-2100	85	90	77	77	NUM
american_scientific_journal-2100	85	91	47	47	NUM
american_scientific_journal-2100	85	92	103	103	NUM
american_scientific_journal-2100	85	93	77	77	NUM
american_scientific_journal-2100	85	94	11	11	NUM
american_scientific_journal-2100	85	95	103	103	NUM
american_scientific_journal-2100	85	96	�	�	NOUN
american_scientific_journal-2100	85	97	®	®	NOUN
american_scientific_journal-2100	85	98	�	�	PROPN
american_scientific_journal-2100	85	99	136	136	NUM
american_scientific_journal-2100	85	100	46	46	NUM
american_scientific_journal-2100	85	101	138	138	NUM
american_scientific_journal-2100	85	102	38	38	NUM
american_scientific_journal-2100	85	103	70	70	NUM
american_scientific_journal-2100	85	104	132	132	NUM
american_scientific_journal-2100	85	105	114	114	NUM
american_scientific_journal-2100	85	106	106	106	NUM
american_scientific_journal-2100	85	107	110	110	NUM
american_scientific_journal-2100	85	108	84	84	NUM
american_scientific_journal-2100	85	109	55	55	NUM
american_scientific_journal-2100	85	110	12	12	NUM
american_scientific_journal-2100	85	111	48	48	NUM
american_scientific_journal-2100	85	112	56	56	NUM
american_scientific_journal-2100	85	113	96	96	NUM
american_scientific_journal-2100	85	114	10	10	NUM
american_scientific_journal-2100	85	115	�	�	NOUN
american_scientific_journal-2100	85	116	=	=	SYM
american_scientific_journal-2100	85	117	⎣	⎣	ADJ
american_scientific_journal-2100	85	118	⎢	⎢	NOUN
american_scientific_journal-2100	85	119	⎢	⎢	NOUN
american_scientific_journal-2100	85	120	⎢	⎢	NOUN
american_scientific_journal-2100	85	121	⎡(136)103	⎡(136)103	NOUN
american_scientific_journal-2100	85	122	(	(	PUNCT
american_scientific_journal-2100	85	123	46)11	46)11	NUM
american_scientific_journal-2100	85	124	(	(	PUNCT
american_scientific_journal-2100	85	125	138)37	138)37	PROPN
american_scientific_journal-2100	85	126	(	(	PUNCT
american_scientific_journal-2100	85	127	38)47	38)47	NUM
american_scientific_journal-2100	85	128	(	(	PUNCT
american_scientific_journal-2100	85	129	70)77	70)77	NUM
american_scientific_journal-2100	85	130	(	(	PUNCT
american_scientific_journal-2100	85	131	132)103	132)103	NUM
american_scientific_journal-2100	85	132	(	(	PUNCT
american_scientific_journal-2100	85	133	114)11	114)11	NUM
american_scientific_journal-2100	85	134	(	(	PUNCT
american_scientific_journal-2100	85	135	106)37	106)37	PROPN
american_scientific_journal-2100	85	136	(	(	PUNCT
american_scientific_journal-2100	85	137	110)47	110)47	PROPN
american_scientific_journal-2100	85	138	(	(	PUNCT
american_scientific_journal-2100	85	139	84)37	84)37	PROPN
american_scientific_journal-2100	85	140	(	(	PUNCT
american_scientific_journal-2100	85	141	55)77	55)77	NUM
american_scientific_journal-2100	85	142	(	(	PUNCT
american_scientific_journal-2100	85	143	12)47	12)47	NUM
american_scientific_journal-2100	85	144	(	(	PUNCT
american_scientific_journal-2100	85	145	48)103	48)103	NUM
american_scientific_journal-2100	85	146	(	(	PUNCT
american_scientific_journal-2100	85	147	56)77	56)77	NUM
american_scientific_journal-2100	85	148	(	(	PUNCT
american_scientific_journal-2100	85	149	96)11	96)11	NUM
american_scientific_journal-2100	85	150	(	(	PUNCT
american_scientific_journal-2100	85	151	10)103	10)103	NUM
american_scientific_journal-2100	85	152	⎦	⎦	NOUN
american_scientific_journal-2100	85	153	⎥	⎥	PROPN
american_scientific_journal-2100	85	154	⎥	⎥	PROPN
american_scientific_journal-2100	85	155	⎥	⎥	PROPN
american_scientific_journal-2100	85	156	⎤	⎤	PROPN
american_scientific_journal-2100	85	157	(	(	PUNCT
american_scientific_journal-2100	85	158	mod	mod	PROPN
american_scientific_journal-2100	85	159	143	143	NUM
american_scientific_journal-2100	85	160	)	)	PUNCT
american_scientific_journal-2100	85	161	≡	≡	PROPN
american_scientific_journal-2100	85	162	�	�	PROPN
american_scientific_journal-2100	85	163	20	20	NUM
american_scientific_journal-2100	85	164	02	02	NUM
american_scientific_journal-2100	85	165	08	08	NUM
american_scientific_journal-2100	85	166	25	25	NUM
american_scientific_journal-2100	85	167	05	05	NUM
american_scientific_journal-2100	85	168	11	11	NUM
american_scientific_journal-2100	85	169	04	04	NUM
american_scientific_journal-2100	85	170	28	28	NUM
american_scientific_journal-2100	85	171	11	11	NUM
american_scientific_journal-2100	85	172	06	06	NUM
american_scientific_journal-2100	85	173	22	22	NUM
american_scientific_journal-2100	85	174	12	12	NUM
american_scientific_journal-2100	85	175	09	09	NUM
american_scientific_journal-2100	85	176	23	23	NUM
american_scientific_journal-2100	85	177	08	08	NUM
american_scientific_journal-2100	85	178	10	10	NUM
american_scientific_journal-2100	85	179	�	�	PROPN
american_scientific_journal-2100	85	180	.	.	PUNCT
american_scientific_journal-2100	86	1	5	5	NUM
american_scientific_journal-2100	86	2	.	.	X
american_scientific_journal-2100	86	3	discussion	discussion	NOUN
american_scientific_journal-2100	86	4	and	and	CCONJ
american_scientific_journal-2100	86	5	comparison	comparison	NOUN
american_scientific_journal-2100	86	6	the	the	DET
american_scientific_journal-2100	86	7	rsa	rsa	PROPN
american_scientific_journal-2100	86	8	cryptosystem	cryptosystem	NOUN
american_scientific_journal-2100	86	9	is	be	AUX
american_scientific_journal-2100	86	10	one	one	NUM
american_scientific_journal-2100	86	11	of	of	ADP
american_scientific_journal-2100	86	12	the	the	DET
american_scientific_journal-2100	86	13	most	most	ADV
american_scientific_journal-2100	86	14	secure	secure	ADJ
american_scientific_journal-2100	86	15	public	public	ADJ
american_scientific_journal-2100	86	16	key	key	ADJ
american_scientific_journal-2100	86	17	cryptosystems	cryptosystem	NOUN
american_scientific_journal-2100	86	18	,	,	PUNCT
american_scientific_journal-2100	86	19	which	which	PRON
american_scientific_journal-2100	86	20	has	have	VERB
american_scientific_journal-2100	86	21	one	one	NUM
american_scientific_journal-2100	86	22	public	public	ADJ
american_scientific_journal-2100	86	23	key	key	NOUN
american_scientific_journal-2100	86	24	(	(	PUNCT
american_scientific_journal-2100	86	25	𝒘𝒘𝟏𝟏	𝒘𝒘𝟏𝟏	PROPN
american_scientific_journal-2100	86	26	,	,	PUNCT
american_scientific_journal-2100	86	27	n	n	CCONJ
american_scientific_journal-2100	86	28	)	)	PUNCT
american_scientific_journal-2100	86	29	and	and	CCONJ
american_scientific_journal-2100	86	30	one	one	NUM
american_scientific_journal-2100	86	31	private	private	ADJ
american_scientific_journal-2100	86	32	key	key	NOUN
american_scientific_journal-2100	86	33	(	(	PUNCT
american_scientific_journal-2100	86	34	𝒔𝒔𝟏𝟏	𝒔𝒔𝟏𝟏	PROPN
american_scientific_journal-2100	86	35	,	,	PUNCT
american_scientific_journal-2100	86	36	n	n	CCONJ
american_scientific_journal-2100	86	37	)	)	PUNCT
american_scientific_journal-2100	86	38	.	.	PUNCT
american_scientific_journal-2100	87	1	hacking	hack	VERB
american_scientific_journal-2100	87	2	or	or	CCONJ
american_scientific_journal-2100	87	3	cracking	crack	VERB
american_scientific_journal-2100	87	4	this	this	DET
american_scientific_journal-2100	87	5	cryptosystem	cryptosystem	NOUN
american_scientific_journal-2100	87	6	relies	rely	VERB
american_scientific_journal-2100	87	7	on	on	ADP
american_scientific_journal-2100	87	8	the	the	DET
american_scientific_journal-2100	87	9	knowledge	knowledge	NOUN
american_scientific_journal-2100	87	10	of	of	ADP
american_scientific_journal-2100	87	11	the	the	DET
american_scientific_journal-2100	87	12	private	private	ADJ
american_scientific_journal-2100	87	13	key	key	NOUN
american_scientific_journal-2100	87	14	(	(	PUNCT
american_scientific_journal-2100	87	15	𝒔𝒔𝟏𝟏	𝒔𝒔𝟏𝟏	PROPN
american_scientific_journal-2100	87	16	,	,	PUNCT
american_scientific_journal-2100	87	17	n	n	CCONJ
american_scientific_journal-2100	87	18	)	)	PUNCT
american_scientific_journal-2100	87	19	,	,	PUNCT
american_scientific_journal-2100	87	20	which	which	PRON
american_scientific_journal-2100	87	21	relies	rely	VERB
american_scientific_journal-2100	87	22	on	on	ADP
american_scientific_journal-2100	87	23	finding	find	VERB
american_scientific_journal-2100	87	24	the	the	DET
american_scientific_journal-2100	87	25	euler	euler	NOUN
american_scientific_journal-2100	87	26	phi	phi	NOUN
american_scientific_journal-2100	87	27	function	function	NOUN
american_scientific_journal-2100	87	28	of	of	ADP
american_scientific_journal-2100	87	29	n	n	PROPN
american_scientific_journal-2100	87	30	(	(	PUNCT
american_scientific_journal-2100	87	31	φ(n	φ(n	ADJ
american_scientific_journal-2100	87	32	)	)	PUNCT
american_scientific_journal-2100	87	33	)	)	PUNCT
american_scientific_journal-2100	87	34	.	.	PUNCT
american_scientific_journal-2100	88	1	finding	find	VERB
american_scientific_journal-2100	88	2	φ(n	φ(n	NOUN
american_scientific_journal-2100	88	3	)	)	PUNCT
american_scientific_journal-2100	88	4	depends	depend	VERB
american_scientific_journal-2100	88	5	on	on	ADP
american_scientific_journal-2100	88	6	factoring	factor	VERB
american_scientific_journal-2100	88	7	n	n	CCONJ
american_scientific_journal-2100	88	8	into	into	ADP
american_scientific_journal-2100	88	9	the	the	DET
american_scientific_journal-2100	88	10	product	product	NOUN
american_scientific_journal-2100	88	11	of	of	ADP
american_scientific_journal-2100	88	12	two	two	NUM
american_scientific_journal-2100	88	13	prime	prime	ADJ
american_scientific_journal-2100	88	14	numbers	number	NOUN
american_scientific_journal-2100	88	15	p	p	PROPN
american_scientific_journal-2100	88	16	&	&	CCONJ
american_scientific_journal-2100	88	17	q	q	PROPN
american_scientific_journal-2100	88	18	,	,	PUNCT
american_scientific_journal-2100	88	19	and	and	CCONJ
american_scientific_journal-2100	88	20	that	that	PRON
american_scientific_journal-2100	88	21	is	be	AUX
american_scientific_journal-2100	88	22	very	very	ADV
american_scientific_journal-2100	88	23	difficult	difficult	ADJ
american_scientific_journal-2100	88	24	and	and	CCONJ
american_scientific_journal-2100	88	25	needs	need	VERB
american_scientific_journal-2100	88	26	thousands	thousand	NOUN
american_scientific_journal-2100	88	27	of	of	ADP
american_scientific_journal-2100	88	28	years	year	NOUN
american_scientific_journal-2100	88	29	.	.	PUNCT
american_scientific_journal-2100	89	1	however	however	ADV
american_scientific_journal-2100	89	2	,	,	PUNCT
american_scientific_journal-2100	89	3	identifying	identify	VERB
american_scientific_journal-2100	89	4	the	the	DET
american_scientific_journal-2100	89	5	private	private	ADJ
american_scientific_journal-2100	89	6	key	key	NOUN
american_scientific_journal-2100	89	7	(	(	PUNCT
american_scientific_journal-2100	89	8	𝒔𝒔𝟏𝟏	𝒔𝒔𝟏𝟏	PROPN
american_scientific_journal-2100	89	9	,	,	PUNCT
american_scientific_journal-2100	89	10	n	n	CCONJ
american_scientific_journal-2100	89	11	)	)	PUNCT
american_scientific_journal-2100	89	12	by	by	ADP
american_scientific_journal-2100	89	13	a	a	DET
american_scientific_journal-2100	89	14	hacker	hacker	NOUN
american_scientific_journal-2100	89	15	or	or	CCONJ
american_scientific_journal-2100	89	16	cracker	cracker	NOUN
american_scientific_journal-2100	89	17	is	be	AUX
american_scientific_journal-2100	89	18	being	be	AUX
american_scientific_journal-2100	89	19	impossible	impossible	ADJ
american_scientific_journal-2100	89	20	;	;	PUNCT
american_scientific_journal-2100	89	21	this	this	DET
american_scientific_journal-2100	89	22	private	private	ADJ
american_scientific_journal-2100	89	23	key	key	NOUN
american_scientific_journal-2100	89	24	might	might	AUX
american_scientific_journal-2100	89	25	be	be	AUX
american_scientific_journal-2100	89	26	found	find	VERB
american_scientific_journal-2100	89	27	by	by	ADP
american_scientific_journal-2100	89	28	inspection	inspection	NOUN
american_scientific_journal-2100	89	29	.	.	PUNCT
american_scientific_journal-2100	90	1	as	as	SCONJ
american_scientific_journal-2100	90	2	it	it	PRON
american_scientific_journal-2100	90	3	is	be	AUX
american_scientific_journal-2100	90	4	shown	show	VERB
american_scientific_journal-2100	90	5	at	at	ADP
american_scientific_journal-2100	90	6	the	the	DET
american_scientific_journal-2100	90	7	example	example	NOUN
american_scientific_journal-2100	90	8	of	of	ADP
american_scientific_journal-2100	90	9	rsa	rsa	PROPN
american_scientific_journal-2100	90	10	cryptosystem	cryptosystem	NOUN
american_scientific_journal-2100	90	11	above	above	ADV
american_scientific_journal-2100	90	12	,	,	PUNCT
american_scientific_journal-2100	90	13	whole	whole	ADJ
american_scientific_journal-2100	90	14	the	the	DET
american_scientific_journal-2100	90	15	encrypted	encrypt	VERB
american_scientific_journal-2100	90	16	plain	plain	ADJ
american_scientific_journal-2100	90	17	matrix	matrix	NOUN
american_scientific_journal-2100	90	18	will	will	AUX
american_scientific_journal-2100	90	19	be	be	AUX
american_scientific_journal-2100	90	20	cracked	crack	VERB
american_scientific_journal-2100	90	21	or	or	CCONJ
american_scientific_journal-2100	90	22	hacked	hack	VERB
american_scientific_journal-2100	90	23	easily	easily	ADV
american_scientific_journal-2100	90	24	by	by	ADP
american_scientific_journal-2100	90	25	knowing	know	VERB
american_scientific_journal-2100	90	26	the	the	DET
american_scientific_journal-2100	90	27	private	private	ADJ
american_scientific_journal-2100	90	28	key	key	NOUN
american_scientific_journal-2100	90	29	.	.	PUNCT
american_scientific_journal-2100	91	1	then	then	ADV
american_scientific_journal-2100	91	2	,	,	PUNCT
american_scientific_journal-2100	91	3	the	the	DET
american_scientific_journal-2100	91	4	plain	plain	ADJ
american_scientific_journal-2100	91	5	matrix	matrix	NOUN
american_scientific_journal-2100	91	6	will	will	AUX
american_scientific_journal-2100	91	7	be	be	AUX
american_scientific_journal-2100	91	8	identified	identify	VERB
american_scientific_journal-2100	91	9	easily	easily	ADV
american_scientific_journal-2100	91	10	.	.	PUNCT
american_scientific_journal-2100	92	1	therefore	therefore	ADV
american_scientific_journal-2100	92	2	,	,	PUNCT
american_scientific_journal-2100	92	3	this	this	DET
american_scientific_journal-2100	92	4	paper	paper	NOUN
american_scientific_journal-2100	92	5	suggests	suggest	VERB
american_scientific_journal-2100	92	6	a	a	DET
american_scientific_journal-2100	92	7	new	new	ADJ
american_scientific_journal-2100	92	8	modification	modification	NOUN
american_scientific_journal-2100	92	9	for	for	ADP
american_scientific_journal-2100	92	10	the	the	DET
american_scientific_journal-2100	92	11	rsa	rsa	PROPN
american_scientific_journal-2100	92	12	cryptosystem	cryptosystem	NOUN
american_scientific_journal-2100	92	13	based	base	VERB
american_scientific_journal-2100	92	14	on	on	ADP
american_scientific_journal-2100	92	15	increasing	increase	VERB
american_scientific_journal-2100	92	16	the	the	DET
american_scientific_journal-2100	92	17	number	number	NOUN
american_scientific_journal-2100	92	18	of	of	ADP
american_scientific_journal-2100	92	19	the	the	DET
american_scientific_journal-2100	92	20	private	private	ADJ
american_scientific_journal-2100	92	21	keys	key	NOUN
american_scientific_journal-2100	92	22	to	to	ADP
american_scientific_journal-2100	92	23	"	"	PUNCT
american_scientific_journal-2100	92	24	k	k	ADJ
american_scientific_journal-2100	92	25	"	"	PUNCT
american_scientific_journal-2100	92	26	private	private	ADJ
american_scientific_journal-2100	92	27	keys	key	NOUN
american_scientific_journal-2100	92	28	,	,	PUNCT
american_scientific_journal-2100	92	29	which	which	PRON
american_scientific_journal-2100	92	30	leads	lead	VERB
american_scientific_journal-2100	92	31	to	to	ADP
american_scientific_journal-2100	92	32	"	"	PUNCT
american_scientific_journal-2100	92	33	k	k	ADJ
american_scientific_journal-2100	92	34	"	"	PUNCT
american_scientific_journal-2100	92	35	public	public	ADJ
american_scientific_journal-2100	92	36	keys	key	NOUN
american_scientific_journal-2100	92	37	.	.	PUNCT
american_scientific_journal-2100	93	1	this	this	DET
american_scientific_journal-2100	93	2	suggestion	suggestion	NOUN
american_scientific_journal-2100	93	3	solves	solve	VERB
american_scientific_journal-2100	93	4	the	the	DET
american_scientific_journal-2100	93	5	lack	lack	NOUN
american_scientific_journal-2100	93	6	of	of	ADP
american_scientific_journal-2100	93	7	identifying	identify	VERB
american_scientific_journal-2100	93	8	(	(	PUNCT
american_scientific_journal-2100	93	9	𝒔𝒔𝟏𝟏	𝒔𝒔𝟏𝟏	PROPN
american_scientific_journal-2100	93	10	,	,	PUNCT
american_scientific_journal-2100	93	11	n	n	CCONJ
american_scientific_journal-2100	93	12	)	)	PUNCT
american_scientific_journal-2100	93	13	by	by	ADP
american_scientific_journal-2100	93	14	anyone	anyone	PRON
american_scientific_journal-2100	93	15	other	other	ADJ
american_scientific_journal-2100	93	16	than	than	ADP
american_scientific_journal-2100	93	17	the	the	DET
american_scientific_journal-2100	93	18	recipient	recipient	NOUN
american_scientific_journal-2100	93	19	and	and	CCONJ
american_scientific_journal-2100	93	20	sender	sender	NOUN
american_scientific_journal-2100	93	21	and	and	CCONJ
american_scientific_journal-2100	93	22	gives	give	VERB
american_scientific_journal-2100	93	23	the	the	DET
american_scientific_journal-2100	93	24	rsa	rsa	PROPN
american_scientific_journal-2100	93	25	cryptosystem	cryptosystem	NOUN
american_scientific_journal-2100	93	26	a	a	DET
american_scientific_journal-2100	93	27	higher	high	ADJ
american_scientific_journal-2100	93	28	security	security	NOUN
american_scientific_journal-2100	93	29	.	.	PUNCT
american_scientific_journal-2100	94	1	for	for	ADP
american_scientific_journal-2100	94	2	instance	instance	NOUN
american_scientific_journal-2100	94	3	,	,	PUNCT
american_scientific_journal-2100	94	4	the	the	DET
american_scientific_journal-2100	94	5	above	above	ADJ
american_scientific_journal-2100	94	6	illustration	illustration	NOUN
american_scientific_journal-2100	94	7	of	of	ADP
american_scientific_journal-2100	94	8	this	this	DET
american_scientific_journal-2100	94	9	modification	modification	NOUN
american_scientific_journal-2100	94	10	shows	show	VERB
american_scientific_journal-2100	94	11	that	that	SCONJ
american_scientific_journal-2100	94	12	the	the	DET
american_scientific_journal-2100	94	13	encrypted	encrypt	VERB
american_scientific_journal-2100	94	14	matrix	matrix	NOUN
american_scientific_journal-2100	94	15	can	can	AUX
american_scientific_journal-2100	94	16	not	not	PART
american_scientific_journal-2100	94	17	be	be	AUX
american_scientific_journal-2100	94	18	decrypted	decrypt	VERB
american_scientific_journal-2100	94	19	by	by	ADP
american_scientific_journal-2100	94	20	finding	find	VERB
american_scientific_journal-2100	94	21	one	one	NUM
american_scientific_journal-2100	94	22	or	or	CCONJ
american_scientific_journal-2100	94	23	(	(	PUNCT
american_scientific_journal-2100	94	24	k1	k1	NOUN
american_scientific_journal-2100	94	25	)	)	PUNCT
american_scientific_journal-2100	94	26	private	private	ADJ
american_scientific_journal-2100	94	27	keys	key	NOUN
american_scientific_journal-2100	94	28	.	.	PUNCT
american_scientific_journal-2100	95	1	anyone	anyone	PRON
american_scientific_journal-2100	95	2	other	other	ADJ
american_scientific_journal-2100	95	3	than	than	ADP
american_scientific_journal-2100	95	4	the	the	DET
american_scientific_journal-2100	95	5	sender	sender	NOUN
american_scientific_journal-2100	95	6	and	and	CCONJ
american_scientific_journal-2100	95	7	intended	intend	VERB
american_scientific_journal-2100	95	8	receiver	receiver	NOUN
american_scientific_journal-2100	95	9	can	can	AUX
american_scientific_journal-2100	95	10	decrypt	decrypt	VERB
american_scientific_journal-2100	95	11	this	this	DET
american_scientific_journal-2100	95	12	matrix	matrix	NOUN
american_scientific_journal-2100	95	13	only	only	ADV
american_scientific_journal-2100	95	14	by	by	ADP
american_scientific_journal-2100	95	15	knowing	know	VERB
american_scientific_journal-2100	95	16	the	the	DET
american_scientific_journal-2100	95	17	"	"	PUNCT
american_scientific_journal-2100	95	18	k	k	ADJ
american_scientific_journal-2100	95	19	"	"	PUNCT
american_scientific_journal-2100	95	20	private	private	ADJ
american_scientific_journal-2100	95	21	keys	key	NOUN
american_scientific_journal-2100	95	22	,	,	PUNCT
american_scientific_journal-2100	95	23	which	which	PRON
american_scientific_journal-2100	95	24	is	be	AUX
american_scientific_journal-2100	95	25	very	very	ADV
american_scientific_journal-2100	95	26	impossible	impossible	ADJ
american_scientific_journal-2100	95	27	because	because	SCONJ
american_scientific_journal-2100	95	28	identifying	identify	VERB
american_scientific_journal-2100	95	29	(	(	PUNCT
american_scientific_journal-2100	95	30	k	k	ADJ
american_scientific_journal-2100	95	31	)	)	PUNCT
american_scientific_journal-2100	95	32	private	private	ADJ
american_scientific_journal-2100	95	33	keys	key	NOUN
american_scientific_journal-2100	95	34	by	by	ADP
american_scientific_journal-2100	95	35	inspection	inspection	NOUN
american_scientific_journal-2100	95	36	is	be	AUX
american_scientific_journal-2100	95	37	very	very	ADV
american_scientific_journal-2100	95	38	difficult	difficult	ADJ
american_scientific_journal-2100	95	39	especially	especially	ADV
american_scientific_journal-2100	95	40	with	with	ADP
american_scientific_journal-2100	95	41	large	large	ADJ
american_scientific_journal-2100	95	42	prime	prime	ADJ
american_scientific_journal-2100	95	43	numbers	number	NOUN
american_scientific_journal-2100	95	44	.	.	PUNCT
american_scientific_journal-2100	96	1	6	6	X
american_scientific_journal-2100	96	2	.	.	X
american_scientific_journal-2100	96	3	conclusion	conclusion	NOUN
american_scientific_journal-2100	96	4	this	this	DET
american_scientific_journal-2100	96	5	paper	paper	NOUN
american_scientific_journal-2100	96	6	has	have	AUX
american_scientific_journal-2100	96	7	proposed	propose	VERB
american_scientific_journal-2100	96	8	a	a	DET
american_scientific_journal-2100	96	9	new	new	ADJ
american_scientific_journal-2100	96	10	modification	modification	NOUN
american_scientific_journal-2100	96	11	of	of	ADP
american_scientific_journal-2100	96	12	the	the	DET
american_scientific_journal-2100	96	13	rsa	rsa	PROPN
american_scientific_journal-2100	96	14	cryptosystem	cryptosystem	NOUN
american_scientific_journal-2100	96	15	based	base	VERB
american_scientific_journal-2100	96	16	on	on	ADP
american_scientific_journal-2100	96	17	increasing	increase	VERB
american_scientific_journal-2100	96	18	the	the	DET
american_scientific_journal-2100	96	19	number	number	NOUN
american_scientific_journal-2100	96	20	of	of	ADP
american_scientific_journal-2100	96	21	the	the	DET
american_scientific_journal-2100	96	22	private	private	ADJ
american_scientific_journal-2100	96	23	keys	key	NOUN
american_scientific_journal-2100	96	24	and	and	CCONJ
american_scientific_journal-2100	96	25	corresponding	correspond	VERB
american_scientific_journal-2100	96	26	public	public	ADJ
american_scientific_journal-2100	96	27	keys	key	NOUN
american_scientific_journal-2100	96	28	.	.	PUNCT
american_scientific_journal-2100	97	1	rsa	rsa	PROPN
american_scientific_journal-2100	97	2	cryptosystem	cryptosystem	NOUN
american_scientific_journal-2100	97	3	is	be	AUX
american_scientific_journal-2100	97	4	a	a	DET
american_scientific_journal-2100	97	5	very	very	ADV
american_scientific_journal-2100	97	6	secure	secure	ADJ
american_scientific_journal-2100	97	7	public	public	ADJ
american_scientific_journal-2100	97	8	key	key	ADJ
american_scientific_journal-2100	97	9	cryptosystem	cryptosystem	NOUN
american_scientific_journal-2100	97	10	that	that	PRON
american_scientific_journal-2100	97	11	has	have	VERB
american_scientific_journal-2100	97	12	only	only	ADV
american_scientific_journal-2100	97	13	one	one	NUM
american_scientific_journal-2100	97	14	private	private	ADJ
american_scientific_journal-2100	97	15	key	key	NOUN
american_scientific_journal-2100	97	16	and	and	CCONJ
american_scientific_journal-2100	97	17	its	its	PRON
american_scientific_journal-2100	97	18	corresponding	corresponding	ADJ
american_scientific_journal-2100	97	19	public	public	ADJ
american_scientific_journal-2100	97	20	key	key	NOUN
american_scientific_journal-2100	97	21	;	;	PUNCT
american_scientific_journal-2100	97	22	however	however	ADV
american_scientific_journal-2100	97	23	,	,	PUNCT
american_scientific_journal-2100	97	24	this	this	DET
american_scientific_journal-2100	97	25	paper	paper	NOUN
american_scientific_journal-2100	97	26	focuses	focus	VERB
american_scientific_journal-2100	97	27	on	on	ADP
american_scientific_journal-2100	97	28	discussing	discuss	VERB
american_scientific_journal-2100	97	29	and	and	CCONJ
american_scientific_journal-2100	97	30	solving	solve	VERB
american_scientific_journal-2100	97	31	a	a	DET
american_scientific_journal-2100	97	32	lack	lack	NOUN
american_scientific_journal-2100	97	33	in	in	ADP
american_scientific_journal-2100	97	34	the	the	DET
american_scientific_journal-2100	97	35	rsa	rsa	PROPN
american_scientific_journal-2100	97	36	cryptosystem	cryptosystem	NOUN
american_scientific_journal-2100	97	37	,	,	PUNCT
american_scientific_journal-2100	97	38	which	which	PRON
american_scientific_journal-2100	97	39	is	be	AUX
american_scientific_journal-2100	97	40	the	the	DET
american_scientific_journal-2100	97	41	ability	ability	NOUN
american_scientific_journal-2100	97	42	of	of	ADP
american_scientific_journal-2100	97	43	hacking	hack	VERB
american_scientific_journal-2100	97	44	or	or	CCONJ
american_scientific_journal-2100	97	45	cracking	crack	VERB
american_scientific_journal-2100	97	46	this	this	DET
american_scientific_journal-2100	97	47	cryptosystem	cryptosystem	NOUN
american_scientific_journal-2100	97	48	throughout	throughout	ADP
american_scientific_journal-2100	97	49	identifying	identify	VERB
american_scientific_journal-2100	97	50	its	its	PRON
american_scientific_journal-2100	97	51	only	only	ADJ
american_scientific_journal-2100	97	52	private	private	ADJ
american_scientific_journal-2100	97	53	key	key	NOUN
american_scientific_journal-2100	97	54	by	by	ADP
american_scientific_journal-2100	97	55	inspection	inspection	NOUN
american_scientific_journal-2100	97	56	.	.	PUNCT
american_scientific_journal-2100	98	1	therefore	therefore	ADV
american_scientific_journal-2100	98	2	,	,	PUNCT
american_scientific_journal-2100	98	3	this	this	DET
american_scientific_journal-2100	98	4	paper	paper	NOUN
american_scientific_journal-2100	98	5	has	have	AUX
american_scientific_journal-2100	98	6	proposed	propose	VERB
american_scientific_journal-2100	98	7	a	a	DET
american_scientific_journal-2100	98	8	solution	solution	NOUN
american_scientific_journal-2100	98	9	for	for	ADP
american_scientific_journal-2100	98	10	this	this	DET
american_scientific_journal-2100	98	11	problem	problem	NOUN
american_scientific_journal-2100	98	12	by	by	ADP
american_scientific_journal-2100	98	13	increasing	increase	VERB
american_scientific_journal-2100	98	14	the	the	DET
american_scientific_journal-2100	98	15	number	number	NOUN
american_scientific_journal-2100	98	16	of	of	ADP
american_scientific_journal-2100	98	17	the	the	DET
american_scientific_journal-2100	98	18	private	private	ADJ
american_scientific_journal-2100	98	19	keys	key	NOUN
american_scientific_journal-2100	98	20	to	to	ADP
american_scientific_journal-2100	98	21	"	"	PUNCT
american_scientific_journal-2100	98	22	k	k	ADJ
american_scientific_journal-2100	98	23	"	"	PUNCT
american_scientific_journal-2100	98	24	distinct	distinct	ADJ
american_scientific_journal-2100	98	25	keys	key	NOUN
american_scientific_journal-2100	98	26	,	,	PUNCT
american_scientific_journal-2100	98	27	and	and	CCONJ
american_scientific_journal-2100	98	28	this	this	DET
american_scientific_journal-2100	98	29	modification	modification	NOUN
american_scientific_journal-2100	98	30	gives	give	VERB
american_scientific_journal-2100	98	31	the	the	DET
american_scientific_journal-2100	98	32	rsa	rsa	PROPN
american_scientific_journal-2100	98	33	cryptosystem	cryptosystem	NOUN
american_scientific_journal-2100	98	34	a	a	DET
american_scientific_journal-2100	98	35	higher	high	ADJ
american_scientific_journal-2100	98	36	security	security	NOUN
american_scientific_journal-2100	98	37	and	and	CCONJ
american_scientific_journal-2100	98	38	makes	make	VERB
american_scientific_journal-2100	98	39	it	it	PRON
american_scientific_journal-2100	98	40	impossible	impossible	ADJ
american_scientific_journal-2100	98	41	to	to	PART
american_scientific_journal-2100	98	42	be	be	AUX
american_scientific_journal-2100	98	43	hacked	hack	VERB
american_scientific_journal-2100	98	44	or	or	CCONJ
american_scientific_journal-2100	98	45	cracked	crack	VERB
american_scientific_journal-2100	98	46	by	by	ADP
american_scientific_journal-2100	98	47	any	any	DET
american_scientific_journal-2100	98	48	attacker	attacker	NOUN
american_scientific_journal-2100	98	49	.	.	PUNCT
american_scientific_journal-2100	99	1	american	american	ADJ
american_scientific_journal-2100	99	2	scientific	scientific	ADJ
american_scientific_journal-2100	99	3	research	research	PROPN
american_scientific_journal-2100	99	4	journal	journal	NOUN
american_scientific_journal-2100	99	5	for	for	ADP
american_scientific_journal-2100	99	6	engineering	engineering	NOUN
american_scientific_journal-2100	99	7	,	,	PUNCT
american_scientific_journal-2100	99	8	technology	technology	NOUN
american_scientific_journal-2100	99	9	,	,	PUNCT
american_scientific_journal-2100	99	10	and	and	CCONJ
american_scientific_journal-2100	99	11	sciences	science	NOUN
american_scientific_journal-2100	99	12	(	(	PUNCT
american_scientific_journal-2100	99	13	asrjets	asrjet	NOUN
american_scientific_journal-2100	99	14	)	)	PUNCT
american_scientific_journal-2100	99	15	(	(	PUNCT
american_scientific_journal-2100	99	16	2016	2016	NUM
american_scientific_journal-2100	99	17	)	)	PUNCT
american_scientific_journal-2100	99	18	volume	volume	NOUN
american_scientific_journal-2100	99	19	24	24	NUM
american_scientific_journal-2100	99	20	,	,	PUNCT
american_scientific_journal-2100	99	21	no	no	DET
american_scientific_journal-2100	99	22	1	1	NUM
american_scientific_journal-2100	99	23	,	,	PUNCT
american_scientific_journal-2100	99	24	pp	pp	ADV
american_scientific_journal-2100	99	25	270	270	NUM
american_scientific_journal-2100	99	26	-	-	SYM
american_scientific_journal-2100	99	27	279	279	NUM
american_scientific_journal-2100	99	28	278	278	NUM
american_scientific_journal-2100	99	29	acknowledgements	acknowledgement	NOUN
american_scientific_journal-2100	99	30	i	i	PRON
american_scientific_journal-2100	99	31	would	would	AUX
american_scientific_journal-2100	99	32	like	like	VERB
american_scientific_journal-2100	99	33	to	to	PART
american_scientific_journal-2100	99	34	thank	thank	VERB
american_scientific_journal-2100	99	35	my	my	PRON
american_scientific_journal-2100	99	36	family	family	NOUN
american_scientific_journal-2100	99	37	,	,	PUNCT
american_scientific_journal-2100	99	38	my	my	PRON
american_scientific_journal-2100	99	39	friends	friend	NOUN
american_scientific_journal-2100	99	40	,	,	PUNCT
american_scientific_journal-2100	99	41	and	and	CCONJ
american_scientific_journal-2100	99	42	my	my	PRON
american_scientific_journal-2100	99	43	colleagues	colleague	NOUN
american_scientific_journal-2100	99	44	at	at	ADP
american_scientific_journal-2100	99	45	department	department	NOUN
american_scientific_journal-2100	99	46	of	of	ADP
american_scientific_journal-2100	99	47	mathematics	mathematic	NOUN
american_scientific_journal-2100	99	48	,	,	PUNCT
american_scientific_journal-2100	99	49	who	who	PRON
american_scientific_journal-2100	99	50	have	have	AUX
american_scientific_journal-2100	99	51	supported	support	VERB
american_scientific_journal-2100	99	52	me	i	PRON
american_scientific_journal-2100	99	53	to	to	PART
american_scientific_journal-2100	99	54	make	make	VERB
american_scientific_journal-2100	99	55	this	this	DET
american_scientific_journal-2100	99	56	article	article	NOUN
american_scientific_journal-2100	99	57	possible	possible	ADJ
american_scientific_journal-2100	99	58	and	and	CCONJ
american_scientific_journal-2100	99	59	a	a	DET
american_scientific_journal-2100	99	60	magnificent	magnificent	ADJ
american_scientific_journal-2100	99	61	experience	experience	NOUN
american_scientific_journal-2100	99	62	for	for	ADP
american_scientific_journal-2100	99	63	me	i	PRON
american_scientific_journal-2100	99	64	.	.	PUNCT
american_scientific_journal-2100	100	1	references	reference	NOUN
american_scientific_journal-2100	100	2	[	[	X
american_scientific_journal-2100	100	3	1	1	NUM
american_scientific_journal-2100	100	4	]	]	X
american_scientific_journal-2100	100	5	ayele	ayele	PROPN
american_scientific_journal-2100	100	6	,	,	PUNCT
american_scientific_journal-2100	100	7	a.	a.	NOUN
american_scientific_journal-2100	100	8	a.	a.	PROPN
american_scientific_journal-2100	100	9	,	,	PUNCT
american_scientific_journal-2100	100	10	&	&	CCONJ
american_scientific_journal-2100	100	11	sreenivasarao	sreenivasarao	PROPN
american_scientific_journal-2100	100	12	,	,	PUNCT
american_scientific_journal-2100	100	13	v.	v.	ADP
american_scientific_journal-2100	100	14	“	"	PUNCT
american_scientific_journal-2100	100	15	a	a	DET
american_scientific_journal-2100	100	16	modified	modified	ADJ
american_scientific_journal-2100	100	17	rsa	rsa	NOUN
american_scientific_journal-2100	100	18	encryption	encryption	NOUN
american_scientific_journal-2100	100	19	technique	technique	NOUN
american_scientific_journal-2100	100	20	based	base	VERB
american_scientific_journal-2100	100	21	on	on	ADP
american_scientific_journal-2100	100	22	multiple	multiple	ADJ
american_scientific_journal-2100	100	23	public	public	ADJ
american_scientific_journal-2100	100	24	keys	key	NOUN
american_scientific_journal-2100	100	25	”	"	PUNCT
american_scientific_journal-2100	100	26	.	.	PUNCT
american_scientific_journal-2100	101	1	international	international	ADJ
american_scientific_journal-2100	101	2	journal	journal	NOUN
american_scientific_journal-2100	101	3	of	of	ADP
american_scientific_journal-2100	101	4	innovative	innovative	ADJ
american_scientific_journal-2100	101	5	research	research	NOUN
american_scientific_journal-2100	101	6	in	in	ADP
american_scientific_journal-2100	101	7	computer	computer	NOUN
american_scientific_journal-2100	101	8	and	and	CCONJ
american_scientific_journal-2100	101	9	communication	communication	NOUN
american_scientific_journal-2100	101	10	engineering	engineering	NOUN
american_scientific_journal-2100	101	11	,	,	PUNCT
american_scientific_journal-2100	101	12	vol.1	vol.1	PROPN
american_scientific_journal-2100	101	13	,	,	PUNCT
american_scientific_journal-2100	101	14	2013	2013	NUM
american_scientific_journal-2100	101	15	.	.	PUNCT
american_scientific_journal-2100	102	1	[	[	X
american_scientific_journal-2100	102	2	2	2	NUM
american_scientific_journal-2100	102	3	]	]	SYM
american_scientific_journal-2100	102	4	hussain	hussain	PROPN
american_scientific_journal-2100	102	5	,	,	PUNCT
american_scientific_journal-2100	102	6	a.	a.	PROPN
american_scientific_journal-2100	102	7	k.	k.	PROPN
american_scientific_journal-2100	103	1	“	"	PUNCT
american_scientific_journal-2100	103	2	a	a	DET
american_scientific_journal-2100	103	3	modified	modified	ADJ
american_scientific_journal-2100	103	4	rsa	rsa	NOUN
american_scientific_journal-2100	103	5	algorithm	algorithm	NOUN
american_scientific_journal-2100	103	6	for	for	ADP
american_scientific_journal-2100	103	7	security	security	NOUN
american_scientific_journal-2100	103	8	enhancement	enhancement	NOUN
american_scientific_journal-2100	103	9	and	and	CCONJ
american_scientific_journal-2100	103	10	redundant	redundant	ADJ
american_scientific_journal-2100	103	11	messages	message	NOUN
american_scientific_journal-2100	103	12	elimination	elimination	NOUN
american_scientific_journal-2100	103	13	using	use	VERB
american_scientific_journal-2100	103	14	k	k	NOUN
american_scientific_journal-2100	103	15	-	-	PUNCT
american_scientific_journal-2100	103	16	nearest	near	ADJ
american_scientific_journal-2100	103	17	neighbor	neighbor	NOUN
american_scientific_journal-2100	103	18	algorithm	algorithm	NOUN
american_scientific_journal-2100	103	19	”	"	PUNCT
american_scientific_journal-2100	103	20	.	.	PUNCT
american_scientific_journal-2100	104	1	ijiset	ijiset	NOUN
american_scientific_journal-2100	104	2	-	-	PUNCT
american_scientific_journal-2100	104	3	international	international	ADJ
american_scientific_journal-2100	104	4	journal	journal	NOUN
american_scientific_journal-2100	104	5	of	of	ADP
american_scientific_journal-2100	104	6	innovative	innovative	ADJ
american_scientific_journal-2100	104	7	science	science	NOUN
american_scientific_journal-2100	104	8	,	,	PUNCT
american_scientific_journal-2100	104	9	engineering	engineering	NOUN
american_scientific_journal-2100	104	10	&	&	CCONJ
american_scientific_journal-2100	104	11	technology	technology	NOUN
american_scientific_journal-2100	104	12	,	,	PUNCT
american_scientific_journal-2100	104	13	vol	vol	NOUN
american_scientific_journal-2100	104	14	.	.	PROPN
american_scientific_journal-2100	104	15	2	2	NUM
american_scientific_journal-2100	104	16	,	,	PUNCT
american_scientific_journal-2100	104	17	2015	2015	NUM
american_scientific_journal-2100	104	18	.	.	PUNCT
american_scientific_journal-2100	105	1	[	[	X
american_scientific_journal-2100	105	2	3	3	X
american_scientific_journal-2100	105	3	]	]	X
american_scientific_journal-2100	105	4	abudin	abudin	PROPN
american_scientific_journal-2100	105	5	,	,	PUNCT
american_scientific_journal-2100	105	6	j.	j.	PROPN
american_scientific_journal-2100	105	7	,	,	PUNCT
american_scientific_journal-2100	105	8	keot	keot	PROPN
american_scientific_journal-2100	105	9	,	,	PUNCT
american_scientific_journal-2100	105	10	s.	s.	PROPN
american_scientific_journal-2100	105	11	k.	k.	PROPN
american_scientific_journal-2100	105	12	,	,	PUNCT
american_scientific_journal-2100	105	13	malakar	malakar	PROPN
american_scientific_journal-2100	105	14	,	,	PUNCT
american_scientific_journal-2100	105	15	g.	g.	PROPN
american_scientific_journal-2100	105	16	,	,	PUNCT
american_scientific_journal-2100	105	17	borah	borah	PROPN
american_scientific_journal-2100	105	18	,	,	PUNCT
american_scientific_journal-2100	105	19	n.	n.	NOUN
american_scientific_journal-2100	105	20	m.	m.	NOUN
american_scientific_journal-2100	105	21	,	,	PUNCT
american_scientific_journal-2100	105	22	&	&	CCONJ
american_scientific_journal-2100	105	23	rahman	rahman	PROPN
american_scientific_journal-2100	105	24	,	,	PUNCT
american_scientific_journal-2100	105	25	m.	m.	NOUN
american_scientific_journal-2100	105	26	“	"	PUNCT
american_scientific_journal-2100	105	27	modified	modify	VERB
american_scientific_journal-2100	105	28	rsa	rsa	PROPN
american_scientific_journal-2100	105	29	publickey	publickey	ADJ
american_scientific_journal-2100	105	30	cryptosystem	cryptosystem	NOUN
american_scientific_journal-2100	105	31	using	use	VERB
american_scientific_journal-2100	105	32	two	two	NUM
american_scientific_journal-2100	105	33	key	key	ADJ
american_scientific_journal-2100	105	34	pairs	pair	NOUN
american_scientific_journal-2100	105	35	”	"	PUNCT
american_scientific_journal-2100	105	36	.	.	PUNCT
american_scientific_journal-2100	106	1	international	international	ADJ
american_scientific_journal-2100	106	2	journal	journal	PROPN
american_scientific_journal-2100	106	3	of	of	ADP
american_scientific_journal-2100	106	4	computer	computer	NOUN
american_scientific_journal-2100	106	5	science	science	NOUN
american_scientific_journal-2100	106	6	and	and	CCONJ
american_scientific_journal-2100	106	7	information	information	NOUN
american_scientific_journal-2100	106	8	technologies	technology	NOUN
american_scientific_journal-2100	106	9	,	,	PUNCT
american_scientific_journal-2100	106	10	vol	vol	NOUN
american_scientific_journal-2100	106	11	.	.	PROPN
american_scientific_journal-2100	106	12	5	5	NUM
american_scientific_journal-2100	106	13	,	,	PUNCT
american_scientific_journal-2100	106	14	pp	pp	ADJ
american_scientific_journal-2100	106	15	.	.	PUNCT
american_scientific_journal-2100	107	1	3548	3548	NUM
american_scientific_journal-2100	107	2	-	-	SYM
american_scientific_journal-2100	107	3	3550	3550	NUM
american_scientific_journal-2100	107	4	,	,	PUNCT
american_scientific_journal-2100	107	5	2014	2014	NUM
american_scientific_journal-2100	107	6	.	.	PUNCT
american_scientific_journal-2100	108	1	[	[	X
american_scientific_journal-2100	108	2	4	4	NUM
american_scientific_journal-2100	108	3	]	]	X
american_scientific_journal-2100	108	4	hassan	hassan	PROPN
american_scientific_journal-2100	108	5	,	,	PUNCT
american_scientific_journal-2100	108	6	a.	a.	PROPN
american_scientific_journal-2100	108	7	k.	k.	PROPN
american_scientific_journal-2100	108	8	s.	s.	PROPN
american_scientific_journal-2100	108	9	,	,	PUNCT
american_scientific_journal-2100	108	10	shalash	shalash	PROPN
american_scientific_journal-2100	108	11	,	,	PUNCT
american_scientific_journal-2100	108	12	a.	a.	PROPN
american_scientific_journal-2100	108	13	f.	f.	PROPN
american_scientific_journal-2100	108	14	,	,	PUNCT
american_scientific_journal-2100	108	15	&	&	CCONJ
american_scientific_journal-2100	108	16	saudy	saudy	PROPN
american_scientific_journal-2100	108	17	,	,	PUNCT
american_scientific_journal-2100	108	18	n.	n.	PROPN
american_scientific_journal-2100	108	19	f.	f.	PROPN
american_scientific_journal-2100	109	1	“	"	PUNCT
american_scientific_journal-2100	109	2	modifications	modification	NOUN
american_scientific_journal-2100	109	3	on	on	ADP
american_scientific_journal-2100	109	4	rsa	rsa	PROPN
american_scientific_journal-2100	109	5	cryptosystem	cryptosystem	NOUN
american_scientific_journal-2100	109	6	using	use	VERB
american_scientific_journal-2100	109	7	genetic	genetic	ADJ
american_scientific_journal-2100	109	8	optimization	optimization	NOUN
american_scientific_journal-2100	109	9	”	"	PUNCT
american_scientific_journal-2100	109	10	.	.	PUNCT
american_scientific_journal-2100	110	1	international	international	ADJ
american_scientific_journal-2100	110	2	journal	journal	PROPN
american_scientific_journal-2100	110	3	of	of	ADP
american_scientific_journal-2100	110	4	research	research	NOUN
american_scientific_journal-2100	110	5	and	and	CCONJ
american_scientific_journal-2100	110	6	reviews	review	NOUN
american_scientific_journal-2100	110	7	in	in	ADP
american_scientific_journal-2100	110	8	applied	apply	VERB
american_scientific_journal-2100	110	9	sciences	science	NOUN
american_scientific_journal-2100	110	10	,	,	PUNCT
american_scientific_journal-2100	110	11	vol	vol	NOUN
american_scientific_journal-2100	110	12	.	.	PROPN
american_scientific_journal-2100	110	13	19	19	NUM
american_scientific_journal-2100	110	14	,	,	PUNCT
american_scientific_journal-2100	110	15	2014	2014	NUM
american_scientific_journal-2100	110	16	.	.	PUNCT
american_scientific_journal-2100	111	1	[	[	X
american_scientific_journal-2100	111	2	5	5	NUM
american_scientific_journal-2100	111	3	]	]	X
american_scientific_journal-2100	111	4	dhakar	dhakar	NOUN
american_scientific_journal-2100	111	5	,	,	PUNCT
american_scientific_journal-2100	111	6	r.	r.	PROPN
american_scientific_journal-2100	111	7	s.	s.	PROPN
american_scientific_journal-2100	111	8	,	,	PUNCT
american_scientific_journal-2100	111	9	gupta	gupta	PROPN
american_scientific_journal-2100	111	10	,	,	PUNCT
american_scientific_journal-2100	111	11	a.	a.	PROPN
american_scientific_journal-2100	111	12	k.	k.	PROPN
american_scientific_journal-2100	111	13	,	,	PUNCT
american_scientific_journal-2100	111	14	&	&	CCONJ
american_scientific_journal-2100	111	15	sharma	sharma	PROPN
american_scientific_journal-2100	111	16	,	,	PUNCT
american_scientific_journal-2100	111	17	p.	p.	PROPN
american_scientific_journal-2100	111	18	“modified	“modifie	VERB
american_scientific_journal-2100	111	19	rsa	rsa	PROPN
american_scientific_journal-2100	111	20	encryption	encryption	NOUN
american_scientific_journal-2100	111	21	algorithm	algorithm	NOUN
american_scientific_journal-2100	111	22	(	(	PUNCT
american_scientific_journal-2100	111	23	mrea	mrea	NOUN
american_scientific_journal-2100	111	24	)	)	PUNCT
american_scientific_journal-2100	111	25	”	"	PUNCT
american_scientific_journal-2100	111	26	.	.	PUNCT
american_scientific_journal-2100	112	1	second	second	ADJ
american_scientific_journal-2100	112	2	international	international	ADJ
american_scientific_journal-2100	112	3	conference	conference	NOUN
american_scientific_journal-2100	112	4	on	on	ADP
american_scientific_journal-2100	112	5	advanced	advanced	ADJ
american_scientific_journal-2100	112	6	computing	computing	NOUN
american_scientific_journal-2100	112	7	&	&	CCONJ
american_scientific_journal-2100	112	8	communication	communication	NOUN
american_scientific_journal-2100	112	9	technologies	technology	NOUN
american_scientific_journal-2100	112	10	,	,	PUNCT
american_scientific_journal-2100	112	11	ieee	ieee	NOUN
american_scientific_journal-2100	112	12	,	,	PUNCT
american_scientific_journal-2100	112	13	2012	2012	NUM
american_scientific_journal-2100	112	14	.	.	PUNCT
american_scientific_journal-2100	113	1	[	[	X
american_scientific_journal-2100	113	2	6	6	NUM
american_scientific_journal-2100	113	3	]	]	X
american_scientific_journal-2100	113	4	patidar	patidar	NOUN
american_scientific_journal-2100	113	5	,	,	PUNCT
american_scientific_journal-2100	113	6	r.	r.	PROPN
american_scientific_journal-2100	113	7	,	,	PUNCT
american_scientific_journal-2100	113	8	&	&	CCONJ
american_scientific_journal-2100	113	9	bhartiya	bhartiya	PROPN
american_scientific_journal-2100	113	10	,	,	PUNCT
american_scientific_journal-2100	113	11	r.	r.	PROPN
american_scientific_journal-2100	113	12	“	"	PUNCT
american_scientific_journal-2100	113	13	modified	modify	VERB
american_scientific_journal-2100	113	14	rsa	rsa	NOUN
american_scientific_journal-2100	113	15	cryptosystem	cryptosystem	NOUN
american_scientific_journal-2100	113	16	based	base	VERB
american_scientific_journal-2100	113	17	on	on	ADP
american_scientific_journal-2100	113	18	offline	offline	ADJ
american_scientific_journal-2100	113	19	storage	storage	NOUN
american_scientific_journal-2100	113	20	and	and	CCONJ
american_scientific_journal-2100	113	21	prime	prime	ADJ
american_scientific_journal-2100	113	22	number	number	NOUN
american_scientific_journal-2100	113	23	”	"	PUNCT
american_scientific_journal-2100	113	24	.	.	PUNCT
american_scientific_journal-2100	114	1	in	in	ADP
american_scientific_journal-2100	114	2	computational	computational	ADJ
american_scientific_journal-2100	114	3	intelligence	intelligence	NOUN
american_scientific_journal-2100	114	4	and	and	CCONJ
american_scientific_journal-2100	114	5	computing	compute	VERB
american_scientific_journal-2100	114	6	research	research	NOUN
american_scientific_journal-2100	114	7	(	(	PUNCT
american_scientific_journal-2100	114	8	iccic	iccic	ADJ
american_scientific_journal-2100	114	9	)	)	PUNCT
american_scientific_journal-2100	114	10	,	,	PUNCT
american_scientific_journal-2100	114	11	2013	2013	NUM
american_scientific_journal-2100	114	12	ieee	ieee	PROPN
american_scientific_journal-2100	114	13	international	international	PROPN
american_scientific_journal-2100	114	14	conference	conference	NOUN
american_scientific_journal-2100	114	15	,	,	PUNCT
american_scientific_journal-2100	114	16	ieee	ieee	NOUN
american_scientific_journal-2100	114	17	,	,	PUNCT
american_scientific_journal-2100	114	18	2013	2013	NUM
american_scientific_journal-2100	114	19	.	.	PUNCT
american_scientific_journal-2100	115	1	[	[	X
american_scientific_journal-2100	115	2	7	7	NUM
american_scientific_journal-2100	115	3	]	]	X
american_scientific_journal-2100	115	4	sharma	sharma	NOUN
american_scientific_journal-2100	115	5	,	,	PUNCT
american_scientific_journal-2100	115	6	s.	s.	PROPN
american_scientific_journal-2100	115	7	,	,	PUNCT
american_scientific_journal-2100	115	8	sharma	sharma	PROPN
american_scientific_journal-2100	115	9	,	,	PUNCT
american_scientific_journal-2100	115	10	p.	p.	PROPN
american_scientific_journal-2100	115	11	,	,	PUNCT
american_scientific_journal-2100	115	12	&	&	CCONJ
american_scientific_journal-2100	115	13	dhakar	dhakar	PROPN
american_scientific_journal-2100	115	14	,	,	PUNCT
american_scientific_journal-2100	115	15	r.	r.	PROPN
american_scientific_journal-2100	115	16	s.	s.	PROPN
american_scientific_journal-2100	115	17	“	"	PUNCT
american_scientific_journal-2100	115	18	rsa	rsa	PROPN
american_scientific_journal-2100	115	19	algorithm	algorithm	NOUN
american_scientific_journal-2100	115	20	using	use	VERB
american_scientific_journal-2100	115	21	modified	modify	VERB
american_scientific_journal-2100	115	22	subset	subset	NOUN
american_scientific_journal-2100	115	23	sum	sum	NOUN
american_scientific_journal-2100	115	24	cryptosystem	cryptosystem	NOUN
american_scientific_journal-2100	115	25	.	.	PUNCT
american_scientific_journal-2100	116	1	in	in	ADP
american_scientific_journal-2100	116	2	computer	computer	NOUN
american_scientific_journal-2100	116	3	and	and	CCONJ
american_scientific_journal-2100	116	4	communication	communication	NOUN
american_scientific_journal-2100	116	5	technology	technology	NOUN
american_scientific_journal-2100	116	6	(	(	PUNCT
american_scientific_journal-2100	116	7	iccct	iccct	NOUN
american_scientific_journal-2100	116	8	)	)	PUNCT
american_scientific_journal-2100	116	9	”	"	PUNCT
american_scientific_journal-2100	116	10	,	,	PUNCT
american_scientific_journal-2100	116	11	2011	2011	NUM
american_scientific_journal-2100	116	12	2nd	2nd	ADJ
american_scientific_journal-2100	116	13	international	international	ADJ
american_scientific_journal-2100	116	14	conference	conference	NOUN
american_scientific_journal-2100	116	15	,	,	PUNCT
american_scientific_journal-2100	116	16	ieee	ieee	NOUN
american_scientific_journal-2100	116	17	,	,	PUNCT
american_scientific_journal-2100	116	18	2011	2011	NUM
american_scientific_journal-2100	116	19	.	.	PUNCT
american_scientific_journal-2100	117	1	[	[	X
american_scientific_journal-2100	117	2	8	8	NUM
american_scientific_journal-2100	117	3	]	]	X
american_scientific_journal-2100	117	4	sharma	sharma	NOUN
american_scientific_journal-2100	117	5	,	,	PUNCT
american_scientific_journal-2100	117	6	s.	s.	PROPN
american_scientific_journal-2100	117	7	,	,	PUNCT
american_scientific_journal-2100	117	8	yadav	yadav	PROPN
american_scientific_journal-2100	117	9	,	,	PUNCT
american_scientific_journal-2100	117	10	j.	j.	PROPN
american_scientific_journal-2100	117	11	s.	s.	PROPN
american_scientific_journal-2100	117	12	,	,	PUNCT
american_scientific_journal-2100	117	13	&	&	CCONJ
american_scientific_journal-2100	117	14	sharma	sharma	PROPN
american_scientific_journal-2100	117	15	,	,	PUNCT
american_scientific_journal-2100	117	16	p.	p.	NOUN
american_scientific_journal-2100	117	17	“	"	PUNCT
american_scientific_journal-2100	117	18	modified	modify	VERB
american_scientific_journal-2100	117	19	rsa	rsa	PROPN
american_scientific_journal-2100	117	20	public	public	ADJ
american_scientific_journal-2100	117	21	key	key	ADJ
american_scientific_journal-2100	117	22	cryptosystem	cryptosystem	NOUN
american_scientific_journal-2100	117	23	using	use	VERB
american_scientific_journal-2100	117	24	short	short	ADJ
american_scientific_journal-2100	117	25	range	range	NOUN
american_scientific_journal-2100	117	26	natural	natural	ADJ
american_scientific_journal-2100	117	27	number	number	NOUN
american_scientific_journal-2100	117	28	algorithm	algorithm	NOUN
american_scientific_journal-2100	117	29	”	"	PUNCT
american_scientific_journal-2100	117	30	.	.	PUNCT
american_scientific_journal-2100	118	1	international	international	ADJ
american_scientific_journal-2100	118	2	journal	journal	PROPN
american_scientific_journal-2100	118	3	,	,	PUNCT
american_scientific_journal-2100	118	4	vol	vol	NOUN
american_scientific_journal-2100	118	5	.	.	PROPN
american_scientific_journal-2100	118	6	2	2	NUM
american_scientific_journal-2100	118	7	,	,	PUNCT
american_scientific_journal-2100	118	8	2012	2012	NUM
american_scientific_journal-2100	118	9	.	.	PUNCT
american_scientific_journal-2100	119	1	[	[	X
american_scientific_journal-2100	119	2	9	9	NUM
american_scientific_journal-2100	119	3	]	]	SYM
american_scientific_journal-2100	119	4	ivy	ivy	PROPN
american_scientific_journal-2100	119	5	,	,	PUNCT
american_scientific_journal-2100	119	6	b.	b.	PROPN
american_scientific_journal-2100	119	7	p.	p.	PROPN
american_scientific_journal-2100	119	8	u.	u.	PROPN
american_scientific_journal-2100	119	9	,	,	PUNCT
american_scientific_journal-2100	119	10	mandiwa	mandiwa	PROPN
american_scientific_journal-2100	119	11	,	,	PUNCT
american_scientific_journal-2100	119	12	p.	p.	PROPN
american_scientific_journal-2100	119	13	,	,	PUNCT
american_scientific_journal-2100	119	14	&	&	CCONJ
american_scientific_journal-2100	119	15	kumar	kumar	PROPN
american_scientific_journal-2100	119	16	,	,	PUNCT
american_scientific_journal-2100	119	17	m.	m.	NOUN
american_scientific_journal-2100	119	18	“	"	PUNCT
american_scientific_journal-2100	119	19	a	a	DET
american_scientific_journal-2100	119	20	modified	modified	ADJ
american_scientific_journal-2100	119	21	rsa	rsa	NOUN
american_scientific_journal-2100	119	22	cryptosystem	cryptosystem	NOUN
american_scientific_journal-2100	119	23	based	base	VERB
american_scientific_journal-2100	119	24	on	on	ADP
american_scientific_journal-2100	119	25	‘	'	PUNCT
american_scientific_journal-2100	119	26	n	n	CCONJ
american_scientific_journal-2100	119	27	’	'	PUNCT
american_scientific_journal-2100	119	28	prime	prime	ADJ
american_scientific_journal-2100	119	29	numbers	number	NOUN
american_scientific_journal-2100	119	30	”	"	PUNCT
american_scientific_journal-2100	119	31	.	.	PUNCT
american_scientific_journal-2100	120	1	international	international	ADJ
american_scientific_journal-2100	120	2	journal	journal	PROPN
american_scientific_journal-2100	120	3	of	of	ADP
american_scientific_journal-2100	120	4	engineering	engineering	NOUN
american_scientific_journal-2100	120	5	and	and	CCONJ
american_scientific_journal-2100	120	6	computer	computer	NOUN
american_scientific_journal-2100	120	7	science	science	NOUN
american_scientific_journal-2100	120	8	,	,	PUNCT
american_scientific_journal-2100	120	9	vol	vol	NOUN
american_scientific_journal-2100	120	10	.	.	PROPN
american_scientific_journal-2100	120	11	1	1	NUM
american_scientific_journal-2100	120	12	,	,	PUNCT
american_scientific_journal-2100	120	13	pp.63	pp.63	NOUN
american_scientific_journal-2100	120	14	-	-	ADJ
american_scientific_journal-2100	120	15	66	66	NUM
american_scientific_journal-2100	120	16	,	,	PUNCT
american_scientific_journal-2100	120	17	2012	2012	NUM
american_scientific_journal-2100	120	18	.	.	PUNCT
american_scientific_journal-2100	121	1	mathematical	mathematical	ADJ
american_scientific_journal-2100	121	2	cryptography	cryptography	NOUN
american_scientific_journal-2100	121	3	.	.	PUNCT
american_scientific_journal-2100	122	1	new	new	PROPN
american_scientific_journal-2100	122	2	york	york	PROPN
american_scientific_journal-2100	122	3	:	:	PUNCT
american_scientific_journal-2100	122	4	springer	springer	NOUN
american_scientific_journal-2100	122	5	,	,	PUNCT
american_scientific_journal-2100	122	6	2008	2008	NUM
american_scientific_journal-2100	122	7	.	.	PUNCT
american_scientific_journal-2100	123	1	[	[	X
american_scientific_journal-2100	123	2	11	11	NUM
american_scientific_journal-2100	123	3	]	]	SYM
american_scientific_journal-2100	123	4	damgård	damgård	PROPN
american_scientific_journal-2100	123	5	,	,	PUNCT
american_scientific_journal-2100	123	6	i.	i.	PROPN
american_scientific_journal-2100	123	7	,	,	PUNCT
american_scientific_journal-2100	123	8	&	&	CCONJ
american_scientific_journal-2100	123	9	koprowski	koprowski	PROPN
american_scientific_journal-2100	123	10	,	,	PUNCT
american_scientific_journal-2100	123	11	m.	m.	NOUN
american_scientific_journal-2100	123	12	“practical	“practical	ADJ
american_scientific_journal-2100	123	13	threshold	threshold	NOUN
american_scientific_journal-2100	123	14	rsa	rsa	PROPN
american_scientific_journal-2100	123	15	signatures	signature	NOUN
american_scientific_journal-2100	123	16	without	without	ADP
american_scientific_journal-2100	123	17	a	a	DET
american_scientific_journal-2100	123	18	trusted	trust	VERB
american_scientific_journal-2100	123	19	dealer	dealer	NOUN
american_scientific_journal-2100	123	20	”	"	PUNCT
american_scientific_journal-2100	123	21	.	.	PUNCT
american_scientific_journal-2100	124	1	international	international	ADJ
american_scientific_journal-2100	124	2	conference	conference	NOUN
american_scientific_journal-2100	124	3	on	on	ADP
american_scientific_journal-2100	124	4	the	the	DET
american_scientific_journal-2100	124	5	theory	theory	NOUN
american_scientific_journal-2100	124	6	and	and	CCONJ
american_scientific_journal-2100	124	7	applications	application	NOUN
american_scientific_journal-2100	124	8	of	of	ADP
american_scientific_journal-2100	124	9	cryptographic	cryptographic	ADJ
american_scientific_journal-2100	124	10	techniques	technique	NOUN
american_scientific_journal-2100	124	11	.	.	PUNCT
american_scientific_journal-2100	125	1	springer	springer	PROPN
american_scientific_journal-2100	125	2	berlin	berlin	PROPN
american_scientific_journal-2100	125	3	heidelberg	heidelberg	PROPN
american_scientific_journal-2100	125	4	,	,	PUNCT
american_scientific_journal-2100	125	5	2001	2001	NUM
american_scientific_journal-2100	125	6	.	.	PUNCT
american_scientific_journal-2100	126	1	american	american	ADJ
american_scientific_journal-2100	126	2	scientific	scientific	ADJ
american_scientific_journal-2100	126	3	research	research	PROPN
american_scientific_journal-2100	126	4	journal	journal	NOUN
american_scientific_journal-2100	126	5	for	for	ADP
american_scientific_journal-2100	126	6	engineering	engineering	NOUN
american_scientific_journal-2100	126	7	,	,	PUNCT
american_scientific_journal-2100	126	8	technology	technology	NOUN
american_scientific_journal-2100	126	9	,	,	PUNCT
american_scientific_journal-2100	126	10	and	and	CCONJ
american_scientific_journal-2100	126	11	sciences	science	NOUN
american_scientific_journal-2100	126	12	(	(	PUNCT
american_scientific_journal-2100	126	13	asrjets	asrjet	NOUN
american_scientific_journal-2100	126	14	)	)	PUNCT
american_scientific_journal-2100	126	15	(	(	PUNCT
american_scientific_journal-2100	126	16	2016	2016	NUM
american_scientific_journal-2100	126	17	)	)	PUNCT
american_scientific_journal-2100	126	18	volume	volume	NOUN
american_scientific_journal-2100	126	19	24	24	NUM
american_scientific_journal-2100	126	20	,	,	PUNCT
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american_scientific_journal-2100	126	22	1	1	NUM
american_scientific_journal-2100	126	23	,	,	PUNCT
american_scientific_journal-2100	126	24	pp	pp	ADV
american_scientific_journal-2100	126	25	270	270	NUM
american_scientific_journal-2100	126	26	-	-	SYM
american_scientific_journal-2100	126	27	279	279	NUM
american_scientific_journal-2100	126	28	279	279	NUM
american_scientific_journal-2100	126	29	[	[	X
american_scientific_journal-2100	126	30	12	12	NUM
american_scientific_journal-2100	126	31	]	]	X
american_scientific_journal-2100	126	32	rosen	rosen	PROPN
american_scientific_journal-2100	126	33	,	,	PUNCT
american_scientific_journal-2100	126	34	k.h	k.h	PROPN
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american_scientific_journal-2100	126	38	theory	theory	NOUN
american_scientific_journal-2100	126	39	and	and	CCONJ
american_scientific_journal-2100	126	40	its	its	PRON
american_scientific_journal-2100	126	41	applications,5th	applications,5th	PROPN
american_scientific_journal-2100	126	42	edn	edn	PROPN
american_scientific_journal-2100	126	43	.	.	PUNCT
american_scientific_journal-2100	127	1	united	united	PROPN
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american_scientific_journal-2100	127	3	of	of	ADP
american_scientific_journal-2100	127	4	america	america	PROPN
american_scientific_journal-2100	127	5	,	,	PUNCT
american_scientific_journal-2100	127	6	boston	boston	PROPN
american_scientific_journal-2100	127	7	:	:	PUNCT
american_scientific_journal-2100	127	8	addison	addison	PROPN
american_scientific_journal-2100	127	9	wesley	wesley	PROPN
american_scientific_journal-2100	127	10	,	,	PUNCT
american_scientific_journal-2100	127	11	2005	2005	NUM
american_scientific_journal-2100	127	12	.	.	PUNCT
american_scientific_journal-2100	128	1	3.2	3.2	NUM
american_scientific_journal-2100	128	2	.	.	PUNCT
american_scientific_journal-2100	129	1	the	the	DET
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american_scientific_journal-2100	129	3	procedure	procedure	NOUN
american_scientific_journal-2100	129	4	of	of	ADP
american_scientific_journal-2100	129	5	rsa	rsa	PROPN
american_scientific_journal-2100	129	6	cryptosystem	cryptosystem	NOUN
american_scientific_journal-2100	129	7	[	[	X
american_scientific_journal-2100	129	8	11	11	NUM
american_scientific_journal-2100	129	9	]	]	SYM
american_scientific_journal-2100	129	10	3.3	3.3	NUM
american_scientific_journal-2100	129	11	.	.	PUNCT
american_scientific_journal-2100	130	1	the	the	DET
american_scientific_journal-2100	130	2	decryption	decryption	NOUN
american_scientific_journal-2100	130	3	procedure	procedure	NOUN
american_scientific_journal-2100	130	4	of	of	ADP
american_scientific_journal-2100	130	5	rsa	rsa	PROPN
american_scientific_journal-2100	130	6	cryptosystem	cryptosystem	NOUN
american_scientific_journal-2100	130	7	[	[	X
american_scientific_journal-2100	130	8	11	11	NUM
american_scientific_journal-2100	130	9	]	]	SYM
american_scientific_journal-2100	130	10	3.4	3.4	NUM
american_scientific_journal-2100	130	11	.	.	PUNCT
american_scientific_journal-2100	131	1	the	the	DET
american_scientific_journal-2100	131	2	security	security	NOUN
american_scientific_journal-2100	131	3	of	of	ADP
american_scientific_journal-2100	131	4	the	the	DET
american_scientific_journal-2100	131	5	rsa	rsa	PROPN
american_scientific_journal-2100	131	6	cryptosystem	cryptosystem	NOUN
american_scientific_journal-2100	131	7	[	[	X
american_scientific_journal-2100	131	8	11	11	NUM
american_scientific_journal-2100	131	9	]	]	PUNCT