id	sid	tid	token	lemma	pos
cana-5310	1	1	communications	communication	NOUN
cana-5310	1	2	on	on	ADP
cana-5310	1	3	applied	apply	VERB
cana-5310	1	4	nonlinear	nonlinear	ADJ
cana-5310	1	5	analysis	analysis	NOUN
cana-5310	1	6	issn	issn	NOUN
cana-5310	1	7	:	:	PUNCT
cana-5310	1	8	1074	1074	NUM
cana-5310	1	9	-	-	PUNCT
cana-5310	1	10	133x	133x	NUM
cana-5310	1	11	vol	vol	NOUN
cana-5310	1	12	31	31	NUM
cana-5310	1	13	no	no	NOUN
cana-5310	1	14	.	.	PUNCT
cana-5310	2	1	5s	5s	NUM
cana-5310	2	2	(	(	PUNCT
cana-5310	2	3	2024	2024	NUM
cana-5310	2	4	)	)	PUNCT
cana-5310	2	5	581	581	NUM
cana-5310	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5310	2	7	number	number	NOUN
cana-5310	2	8	theory	theory	NOUN
cana-5310	2	9	and	and	CCONJ
cana-5310	2	10	its	its	PRON
cana-5310	2	11	applications	application	NOUN
cana-5310	2	12	in	in	ADP
cana-5310	2	13	cryptography	cryptography	NOUN
cana-5310	2	14	recent	recent	ADJ
cana-5310	2	15	developments	development	NOUN
cana-5310	2	16	1s	1s	X
cana-5310	2	17	.	.	PUNCT
cana-5310	3	1	balamuralitharan	balamuralitharan	PROPN
cana-5310	3	2	,	,	PUNCT
cana-5310	3	3	2k	2k	PROPN
cana-5310	3	4	sudarmozhi	sudarmozhi	PROPN
cana-5310	3	5	,	,	PUNCT
cana-5310	3	6	3r	3r	NUM
cana-5310	3	7	.	.	PUNCT
cana-5310	4	1	arulprakasam	arulprakasam	PROPN
cana-5310	4	2	,	,	PUNCT
cana-5310	4	3	4n.selvamalar	4n.selvamalar	NUM
cana-5310	4	4	,	,	PUNCT
cana-5310	4	5	5b.tirupathi	5b.tirupathi	PROPN
cana-5310	4	6	rao	rao	NOUN
cana-5310	4	7	,	,	PUNCT
cana-5310	4	8	1adjunct	1adjunct	NUM
cana-5310	4	9	faculty	faculty	NOUN
cana-5310	4	10	,	,	PUNCT
cana-5310	4	11	department	department	NOUN
cana-5310	4	12	of	of	ADP
cana-5310	4	13	pure	pure	ADJ
cana-5310	4	14	and	and	CCONJ
cana-5310	4	15	applied	applied	ADJ
cana-5310	4	16	mathematics	mathematic	NOUN
cana-5310	4	17	,	,	PUNCT
cana-5310	4	18	saveetha	saveetha	PROPN
cana-5310	4	19	school	school	PROPN
cana-5310	4	20	of	of	ADP
cana-5310	4	21	engineering	engineering	NOUN
cana-5310	4	22	,	,	PUNCT
cana-5310	4	23	simats	simat	NOUN
cana-5310	4	24	,	,	PUNCT
cana-5310	4	25	chennai	chennai	PROPN
cana-5310	4	26	,	,	PUNCT
cana-5310	4	27	tamil	tamil	PROPN
cana-5310	4	28	nadu	nadu	PROPN
cana-5310	4	29	,	,	PUNCT
cana-5310	4	30	india	india	PROPN
cana-5310	4	31	email	email	NOUN
cana-5310	4	32	i	i	PROPN
cana-5310	4	33	d	d	PROPN
cana-5310	4	34	:	:	PUNCT
cana-5310	4	35	balamurali.maths@gmail.com	balamurali.maths@gmail.com	X
cana-5310	4	36	2department	2department	NUM
cana-5310	4	37	of	of	ADP
cana-5310	4	38	mathematics	mathematic	NOUN
cana-5310	4	39	,	,	PUNCT
cana-5310	4	40	saveetha	saveetha	PROPN
cana-5310	4	41	school	school	NOUN
cana-5310	4	42	of	of	ADP
cana-5310	4	43	engineering	engineering	PROPN
cana-5310	4	44	sudarmozhik1033.sse@saveetha.com	sudarmozhik1033.sse@saveetha.com	PROPN
cana-5310	5	1	3department	3department	NUM
cana-5310	5	2	of	of	ADP
cana-5310	5	3	mathematics	mathematic	NOUN
cana-5310	5	4	,	,	PUNCT
cana-5310	5	5	college	college	NOUN
cana-5310	5	6	of	of	ADP
cana-5310	5	7	engineering	engineering	NOUN
cana-5310	5	8	and	and	CCONJ
cana-5310	5	9	technology	technology	NOUN
cana-5310	5	10	,	,	PUNCT
cana-5310	5	11	srm	srm	PROPN
cana-5310	5	12	institute	institute	PROPN
cana-5310	5	13	of	of	ADP
cana-5310	5	14	scienceand	scienceand	PROPN
cana-5310	5	15	technology	technology	PROPN
cana-5310	5	16	,	,	PUNCT
cana-5310	5	17	srm	srm	NOUN
cana-5310	5	18	nagar	nagar	NOUN
cana-5310	5	19	,	,	PUNCT
cana-5310	5	20	kattankulathur	kattankulathur	PROPN
cana-5310	5	21	603203	603203	NUM
cana-5310	5	22	,	,	PUNCT
cana-5310	5	23	chengalpattu	chengalpattu	ADJ
cana-5310	5	24	district	district	NOUN
cana-5310	5	25	,	,	PUNCT
cana-5310	5	26	tamilnadu	tamilnadu	PROPN
cana-5310	5	27	,	,	PUNCT
cana-5310	5	28	india	india	PROPN
cana-5310	5	29	r.aruljeeva@gmail.com	r.aruljeeva@gmail.com	PROPN
cana-5310	5	30	4associate	4associate	PROPN
cana-5310	5	31	professor	professor	NOUN
cana-5310	5	32	,	,	PUNCT
cana-5310	5	33	department	department	NOUN
cana-5310	5	34	of	of	ADP
cana-5310	5	35	mathematics	mathematics	PROPN
cana-5310	5	36	,	,	PUNCT
cana-5310	5	37	aditya	aditya	PROPN
cana-5310	5	38	university	university	PROPN
cana-5310	5	39	,	,	PUNCT
cana-5310	5	40	surampalem	surampalem	NOUN
cana-5310	5	41	,	,	PUNCT
cana-5310	5	42	india	india	PROPN
cana-5310	5	43	,	,	PUNCT
cana-5310	5	44	n.selvamalar@aec.edu.in	n.selvamalar@aec.edu.in	PROPN
cana-5310	6	1	5associate	5associate	PROPN
cana-5310	6	2	professor	professor	NOUN
cana-5310	6	3	,	,	PUNCT
cana-5310	6	4	dept	dept	NOUN
cana-5310	6	5	of	of	ADP
cana-5310	6	6	chemistry	chemistry	NOUN
cana-5310	6	7	,	,	PUNCT
cana-5310	6	8	aditya	aditya	PROPN
cana-5310	6	9	university	university	PROPN
cana-5310	6	10	,	,	PUNCT
cana-5310	6	11	surampalem	surampalem	NOUN
cana-5310	6	12	,	,	PUNCT
cana-5310	6	13	india	india	PROPN
cana-5310	6	14	,	,	PUNCT
cana-5310	6	15	tirupatirao.bantu@aec.edu.in	tirupatirao.bantu@aec.edu.in	NOUN
cana-5310	6	16	article	article	NOUN
cana-5310	6	17	history	history	NOUN
cana-5310	6	18	:	:	PUNCT
cana-5310	6	19	received	receive	VERB
cana-5310	6	20	:	:	PUNCT
cana-5310	6	21	12	12	NUM
cana-5310	6	22	-	-	PUNCT
cana-5310	6	23	03	03	NUM
cana-5310	6	24	-	-	PUNCT
cana-5310	6	25	2024	2024	NUM
cana-5310	6	26	revised	revise	VERB
cana-5310	6	27	:	:	PUNCT
cana-5310	6	28	15	15	NUM
cana-5310	6	29	-	-	PUNCT
cana-5310	6	30	04	04	NUM
cana-5310	6	31	-	-	PUNCT
cana-5310	6	32	2024	2024	NUM
cana-5310	6	33	accepted	accept	VERB
cana-5310	6	34	:	:	PUNCT
cana-5310	6	35	19	19	NUM
cana-5310	6	36	-	-	PUNCT
cana-5310	6	37	05	05	NUM
cana-5310	6	38	-	-	PUNCT
cana-5310	6	39	2024	2024	NUM
cana-5310	6	40	abstract	abstract	NOUN
cana-5310	6	41	:	:	PUNCT
cana-5310	6	42	cryptography	cryptography	NOUN
cana-5310	6	43	depends	depend	VERB
cana-5310	6	44	on	on	ADP
cana-5310	6	45	difficult	difficult	ADJ
cana-5310	6	46	number	number	NOUN
cana-5310	6	47	-	-	PUNCT
cana-5310	6	48	theoretic	theoretic	NOUN
cana-5310	6	49	computational	computational	ADJ
cana-5310	6	50	procedures	procedure	NOUN
cana-5310	6	51	which	which	PRON
cana-5310	6	52	include	include	VERB
cana-5310	6	53	the	the	DET
cana-5310	6	54	process	process	NOUN
cana-5310	6	55	of	of	ADP
cana-5310	6	56	factorization	factorization	NOUN
cana-5310	6	57	and	and	CCONJ
cana-5310	6	58	both	both	CCONJ
cana-5310	6	59	modular	modular	ADJ
cana-5310	6	60	arithmetic	arithmetic	ADJ
cana-5310	6	61	and	and	CCONJ
cana-5310	6	62	discrete	discrete	ADJ
cana-5310	6	63	logarithms	logarithm	NOUN
cana-5310	6	64	.	.	PUNCT
cana-5310	7	1	this	this	DET
cana-5310	7	2	paper	paper	NOUN
cana-5310	7	3	examines	examine	VERB
cana-5310	7	4	the	the	DET
cana-5310	7	5	key	key	ADJ
cana-5310	7	6	components	component	NOUN
cana-5310	7	7	of	of	ADP
cana-5310	7	8	number	number	NOUN
cana-5310	7	9	theory	theory	NOUN
cana-5310	7	10	which	which	PRON
cana-5310	7	11	modern	modern	ADJ
cana-5310	7	12	cryptography	cryptography	NOUN
cana-5310	7	13	uses	use	NOUN
cana-5310	7	14	in	in	ADP
cana-5310	7	15	its	its	PRON
cana-5310	7	16	algorithms	algorithm	NOUN
cana-5310	7	17	.	.	PUNCT
cana-5310	8	1	the	the	DET
cana-5310	8	2	paper	paper	NOUN
cana-5310	8	3	evaluates	evaluate	VERB
cana-5310	8	4	current	current	ADJ
cana-5310	8	5	constitutional	constitutional	ADJ
cana-5310	8	6	challenges	challenge	NOUN
cana-5310	8	7	along	along	ADP
cana-5310	8	8	with	with	ADP
cana-5310	8	9	new	new	ADJ
cana-5310	8	10	innovative	innovative	ADJ
cana-5310	8	11	approaches	approach	NOUN
cana-5310	8	12	in	in	ADP
cana-5310	8	13	cryptographic	cryptographic	ADJ
cana-5310	8	14	protocol	protocol	NOUN
cana-5310	8	15	optimization	optimization	NOUN
cana-5310	8	16	as	as	ADV
cana-5310	8	17	well	well	ADV
cana-5310	8	18	as	as	ADP
cana-5310	8	19	security	security	NOUN
cana-5310	8	20	protection	protection	NOUN
cana-5310	8	21	methods	method	NOUN
cana-5310	8	22	for	for	ADP
cana-5310	8	23	current	current	ADJ
cana-5310	8	24	emerging	emerge	VERB
cana-5310	8	25	threats	threat	NOUN
cana-5310	8	26	.	.	PUNCT
cana-5310	9	1	keywords	keyword	NOUN
cana-5310	9	2	—	—	PUNCT
cana-5310	9	3	number	number	NOUN
cana-5310	9	4	theory	theory	NOUN
cana-5310	9	5	,	,	PUNCT
cana-5310	9	6	cryptography	cryptography	NOUN
cana-5310	9	7	,	,	PUNCT
cana-5310	9	8	elliptic	elliptic	ADJ
cana-5310	9	9	curve	curve	NOUN
cana-5310	9	10	cryptography	cryptography	NOUN
cana-5310	9	11	,	,	PUNCT
cana-5310	9	12	lattice	lattice	NOUN
cana-5310	9	13	-	-	PUNCT
cana-5310	9	14	based	base	VERB
cana-5310	9	15	cryptography	cryptography	NOUN
cana-5310	9	16	,	,	PUNCT
cana-5310	9	17	quantum	quantum	NOUN
cana-5310	9	18	-	-	PUNCT
cana-5310	9	19	resistant	resistant	ADJ
cana-5310	9	20	cryptography	cryptography	NOUN
cana-5310	9	21	,	,	PUNCT
cana-5310	9	22	modular	modular	ADJ
cana-5310	9	23	arithmetic	arithmetic	ADJ
cana-5310	9	24	,	,	PUNCT
cana-5310	9	25	discrete	discrete	ADJ
cana-5310	9	26	logarithms	logarithm	NOUN
cana-5310	9	27	,	,	PUNCT
cana-5310	9	28	factorization	factorization	NOUN
cana-5310	9	29	,	,	PUNCT
cana-5310	9	30	security	security	NOUN
cana-5310	9	31	protocols	protocol	NOUN
cana-5310	9	32	,	,	PUNCT
cana-5310	9	33	post	post	ADJ
cana-5310	9	34	-	-	ADJ
cana-5310	9	35	quantum	quantum	ADJ
cana-5310	9	36	cryptography	cryptography	NOUN
cana-5310	9	37	.	.	PUNCT
cana-5310	10	1	i.	i.	PROPN
cana-5310	10	2	introduction	introduction	NOUN
cana-5310	10	3	cryptography	cryptography	NOUN
cana-5310	10	4	functions	function	NOUN
cana-5310	10	5	as	as	ADP
cana-5310	10	6	the	the	DET
cana-5310	10	7	scientific	scientific	ADJ
cana-5310	10	8	discipline	discipline	NOUN
cana-5310	10	9	which	which	PRON
cana-5310	10	10	secures	secure	VERB
cana-5310	10	11	communication	communication	NOUN
cana-5310	10	12	channels	channel	NOUN
cana-5310	10	13	and	and	CCONJ
cana-5310	10	14	safeguards	safeguard	VERB
cana-5310	10	15	information	information	NOUN
cana-5310	10	16	from	from	ADP
cana-5310	10	17	attackers	attacker	NOUN
cana-5310	10	18	who	who	PRON
cana-5310	10	19	have	have	VERB
cana-5310	10	20	intent	intent	NOUN
cana-5310	10	21	to	to	PART
cana-5310	10	22	break	break	VERB
cana-5310	10	23	it	it	PRON
cana-5310	10	24	.	.	PUNCT
cana-5310	11	1	as	as	ADP
cana-5310	11	2	a	a	DET
cana-5310	11	3	central	central	ADJ
cana-5310	11	4	piece	piece	NOUN
cana-5310	11	5	the	the	DET
cana-5310	11	6	technology	technology	NOUN
cana-5310	11	7	offers	offer	VERB
cana-5310	11	8	protection	protection	NOUN
cana-5310	11	9	to	to	ADP
cana-5310	11	10	digital	digital	ADJ
cana-5310	11	11	systems	system	NOUN
cana-5310	11	12	that	that	PRON
cana-5310	11	13	handle	handle	VERB
cana-5310	11	14	online	online	ADJ
cana-5310	11	15	transactions	transaction	NOUN
cana-5310	11	16	as	as	ADV
cana-5310	11	17	well	well	ADV
cana-5310	11	18	as	as	ADP
cana-5310	11	19	communication	communication	NOUN
cana-5310	11	20	networks	network	NOUN
cana-5310	11	21	and	and	CCONJ
cana-5310	11	22	data	datum	NOUN
cana-5310	11	23	storage	storage	NOUN
cana-5310	11	24	.	.	PUNCT
cana-5310	12	1	many	many	ADJ
cana-5310	12	2	cryptographic	cryptographic	ADJ
cana-5310	12	3	systems	system	NOUN
cana-5310	12	4	employ	employ	VERB
cana-5310	12	5	numbertheoretic	numbertheoretic	ADJ
cana-5310	12	6	problems	problem	NOUN
cana-5310	12	7	with	with	ADP
cana-5310	12	8	complex	complex	ADJ
cana-5310	12	9	computational	computational	ADJ
cana-5310	12	10	properties	property	NOUN
cana-5310	12	11	which	which	PRON
cana-5310	12	12	create	create	VERB
cana-5310	12	13	foundational	foundational	ADJ
cana-5310	12	14	security	security	NOUN
cana-5310	12	15	for	for	ADP
cana-5310	12	16	digital	digital	ADJ
cana-5310	12	17	data	datum	NOUN
cana-5310	12	18	confidentiality	confidentiality	NOUN
cana-5310	12	19	as	as	ADV
cana-5310	12	20	well	well	ADV
cana-5310	12	21	as	as	ADP
cana-5310	12	22	integrity	integrity	NOUN
cana-5310	12	23	and	and	CCONJ
cana-5310	12	24	authenticity	authenticity	NOUN
cana-5310	12	25	[	[	X
cana-5310	12	26	2	2	NUM
cana-5310	12	27	-	-	SYM
cana-5310	12	28	3	3	NUM
cana-5310	12	29	]	]	PUNCT
cana-5310	12	30	.	.	PUNCT
cana-5310	13	1	cryptography	cryptography	NOUN
cana-5310	13	2	implemented	implement	VERB
cana-5310	13	3	number	number	NOUN
cana-5310	13	4	theory	theory	NOUN
cana-5310	13	5	as	as	ADP
cana-5310	13	6	its	its	PRON
cana-5310	13	7	main	main	ADJ
cana-5310	13	8	ingredient	ingredient	NOUN
cana-5310	13	9	following	follow	VERB
cana-5310	13	10	its	its	PRON
cana-5310	13	11	development	development	NOUN
cana-5310	13	12	of	of	ADP
cana-5310	13	13	public	public	ADJ
cana-5310	13	14	-	-	PUNCT
cana-5310	13	15	key	key	NOUN
cana-5310	13	16	cryptography	cryptography	NOUN
cana-5310	13	17	during	during	ADP
cana-5310	13	18	the	the	DET
cana-5310	13	19	1970s	1970s	NUM
cana-5310	13	20	.	.	PUNCT
cana-5310	14	1	the	the	DET
cana-5310	14	2	rsa	rsa	PROPN
cana-5310	14	3	encryption	encryption	NOUN
cana-5310	14	4	system	system	NOUN
cana-5310	14	5	became	become	VERB
cana-5310	14	6	a	a	DET
cana-5310	14	7	practical	practical	ADJ
cana-5310	14	8	communications	communication	NOUN
cana-5310	14	9	on	on	ADP
cana-5310	14	10	applied	apply	VERB
cana-5310	14	11	nonlinear	nonlinear	ADJ
cana-5310	14	12	analysis	analysis	NOUN
cana-5310	14	13	issn	issn	NOUN
cana-5310	14	14	:	:	PUNCT
cana-5310	14	15	1074	1074	NUM
cana-5310	14	16	-	-	PUNCT
cana-5310	14	17	133x	133x	NUM
cana-5310	14	18	vol	vol	NOUN
cana-5310	14	19	31	31	NUM
cana-5310	14	20	no	no	NOUN
cana-5310	14	21	.	.	PUNCT
cana-5310	15	1	5s	5s	NUM
cana-5310	15	2	(	(	PUNCT
cana-5310	15	3	2024	2024	NUM
cana-5310	15	4	)	)	PUNCT
cana-5310	15	5	582	582	NUM
cana-5310	15	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5310	15	7	public	public	ADJ
cana-5310	15	8	-	-	PUNCT
cana-5310	15	9	key	key	NOUN
cana-5310	15	10	cryptography	cryptography	NOUN
cana-5310	15	11	system	system	NOUN
cana-5310	15	12	after	after	SCONJ
cana-5310	15	13	rivest	riv	ADJ
cana-5310	15	14	shamir	shamir	PROPN
cana-5310	15	15	and	and	CCONJ
cana-5310	15	16	adleman	adleman	NOUN
cana-5310	15	17	established	establish	VERB
cana-5310	15	18	its	its	PRON
cana-5310	15	19	foundation	foundation	NOUN
cana-5310	15	20	by	by	ADP
cana-5310	15	21	studying	study	VERB
cana-5310	15	22	difficult	difficult	ADJ
cana-5310	15	23	large	large	ADJ
cana-5310	15	24	integer	integer	NOUN
cana-5310	15	25	factorization	factorization	NOUN
cana-5310	15	26	.	.	PUNCT
cana-5310	16	1	a	a	DET
cana-5310	16	2	secure	secure	ADJ
cana-5310	16	3	channel	channel	NOUN
cana-5310	16	4	is	be	AUX
cana-5310	16	5	maintained	maintain	VERB
cana-5310	16	6	through	through	ADP
cana-5310	16	7	the	the	DET
cana-5310	16	8	daffier	daffier	NOUN
cana-5310	16	9	-	-	PUNCT
cana-5310	16	10	hellman	hellman	PROPN
cana-5310	16	11	key	key	PROPN
cana-5310	16	12	exchange	exchange	NOUN
cana-5310	16	13	using	use	VERB
cana-5310	16	14	mathematical	mathematical	ADJ
cana-5310	16	15	problem	problem	NOUN
cana-5310	16	16	called	call	VERB
cana-5310	16	17	discrete	discrete	ADJ
cana-5310	16	18	logarithm	logarithm	NOUN
cana-5310	16	19	which	which	PRON
cana-5310	16	20	belongs	belong	VERB
cana-5310	16	21	to	to	ADP
cana-5310	16	22	number	number	NOUN
cana-5310	16	23	-	-	PUNCT
cana-5310	16	24	theoretic	theoretic	NOUN
cana-5310	16	25	problems	problem	NOUN
cana-5310	16	26	.	.	PUNCT
cana-5310	17	1	number	number	NOUN
cana-5310	17	2	-	-	PUNCT
cana-5310	17	3	theoretic	theoretic	NOUN
cana-5310	17	4	problems	problem	NOUN
cana-5310	17	5	make	make	VERB
cana-5310	17	6	strong	strong	ADJ
cana-5310	17	7	cryptographic	cryptographic	ADJ
cana-5310	17	8	systems	system	NOUN
cana-5310	17	9	because	because	SCONJ
cana-5310	17	10	their	their	PRON
cana-5310	17	11	computational	computational	ADJ
cana-5310	17	12	requirements	requirement	NOUN
cana-5310	17	13	are	be	AUX
cana-5310	17	14	considered	consider	VERB
cana-5310	17	15	difficult	difficult	ADJ
cana-5310	17	16	to	to	PART
cana-5310	17	17	solve	solve	VERB
cana-5310	17	18	.	.	PUNCT
cana-5310	18	1	the	the	DET
cana-5310	18	2	security	security	NOUN
cana-5310	18	3	of	of	ADP
cana-5310	18	4	rsa	rsa	NOUN
cana-5310	18	5	functions	function	NOUN
cana-5310	18	6	by	by	ADP
cana-5310	18	7	factoring	factor	VERB
cana-5310	18	8	large	large	ADJ
cana-5310	18	9	prime	prime	ADJ
cana-5310	18	10	number	number	NOUN
cana-5310	18	11	products	product	NOUN
cana-5310	18	12	while	while	SCONJ
cana-5310	18	13	daffier	daffier	NOUN
cana-5310	18	14	-	-	PUNCT
cana-5310	18	15	hellman	hellman	NOUN
cana-5310	18	16	implementations	implementation	NOUN
cana-5310	18	17	need	need	VERB
cana-5310	18	18	discrete	discrete	ADJ
cana-5310	18	19	logarithm	logarithm	NOUN
cana-5310	18	20	solution	solution	NOUN
cana-5310	18	21	capability	capability	NOUN
cana-5310	18	22	for	for	ADP
cana-5310	18	23	protection	protection	NOUN
cana-5310	18	24	[	[	X
cana-5310	18	25	14	14	NUM
cana-5310	18	26	-	-	SYM
cana-5310	18	27	15	15	NUM
cana-5310	18	28	]	]	PUNCT
cana-5310	18	29	.	.	PUNCT
cana-5310	19	1	the	the	DET
cana-5310	19	2	digital	digital	ADJ
cana-5310	19	3	world	world	NOUN
cana-5310	19	4	underwent	undergo	VERB
cana-5310	19	5	parallel	parallel	ADJ
cana-5310	19	6	development	development	NOUN
cana-5310	19	7	which	which	PRON
cana-5310	19	8	brought	bring	VERB
cana-5310	19	9	continuous	continuous	ADJ
cana-5310	19	10	changes	change	NOUN
cana-5310	19	11	to	to	ADP
cana-5310	19	12	the	the	DET
cana-5310	19	13	field	field	NOUN
cana-5310	19	14	of	of	ADP
cana-5310	19	15	cryptography	cryptography	NOUN
cana-5310	19	16	.	.	PUNCT
cana-5310	20	1	number	number	NOUN
cana-5310	20	2	-	-	PUNCT
cana-5310	20	3	theoretic	theoretic	NOUN
cana-5310	20	4	problems	problem	NOUN
cana-5310	20	5	can	can	AUX
cana-5310	20	6	be	be	AUX
cana-5310	20	7	solved	solve	VERB
cana-5310	20	8	in	in	ADP
cana-5310	20	9	less	less	ADJ
cana-5310	20	10	time	time	NOUN
cana-5310	20	11	and	and	CCONJ
cana-5310	20	12	with	with	ADP
cana-5310	20	13	better	well	ADJ
cana-5310	20	14	efficiency	efficiency	NOUN
cana-5310	20	15	by	by	ADP
cana-5310	20	16	quantum	quantum	ADJ
cana-5310	20	17	computers	computer	NOUN
cana-5310	20	18	due	due	ADP
cana-5310	20	19	to	to	ADP
cana-5310	20	20	their	their	PRON
cana-5310	20	21	ability	ability	NOUN
cana-5310	20	22	to	to	PART
cana-5310	20	23	apply	apply	VERB
cana-5310	20	24	quantum	quantum	ADJ
cana-5310	20	25	mechanics	mechanic	NOUN
cana-5310	20	26	principles	principle	NOUN
cana-5310	20	27	.	.	PUNCT
cana-5310	21	1	quantum	quantum	ADJ
cana-5310	21	2	computers	computer	NOUN
cana-5310	21	3	employing	employ	VERB
cana-5310	21	4	shor	shor	PROPN
cana-5310	21	5	's	's	PART
cana-5310	21	6	algorithm	algorithm	NOUN
cana-5310	21	7	perform	perform	VERB
cana-5310	21	8	integer	integer	NOUN
cana-5310	21	9	factorization	factorization	NOUN
cana-5310	21	10	operations	operation	NOUN
cana-5310	21	11	that	that	PRON
cana-5310	21	12	unencrypt	unencrypt	PROPN
cana-5310	21	13	rsa	rsa	PROPN
cana-5310	21	14	by	by	ADP
cana-5310	21	15	working	work	VERB
cana-5310	21	16	through	through	ADP
cana-5310	21	17	computational	computational	ADJ
cana-5310	21	18	tasks	task	NOUN
cana-5310	21	19	that	that	PRON
cana-5310	21	20	need	need	VERB
cana-5310	21	21	millions	million	NOUN
cana-5310	21	22	of	of	ADP
cana-5310	21	23	years	year	NOUN
cana-5310	21	24	using	use	VERB
cana-5310	21	25	standard	standard	ADJ
cana-5310	21	26	computers	computer	NOUN
cana-5310	21	27	.	.	PUNCT
cana-5310	22	1	people	people	NOUN
cana-5310	22	2	working	work	VERB
cana-5310	22	3	in	in	ADP
cana-5310	22	4	cryptography	cryptography	NOUN
cana-5310	22	5	now	now	ADV
cana-5310	22	6	study	study	VERB
cana-5310	22	7	new	new	ADJ
cana-5310	22	8	cryptographic	cryptographic	ADJ
cana-5310	22	9	techniques	technique	NOUN
cana-5310	22	10	which	which	PRON
cana-5310	22	11	quantum	quantum	NOUN
cana-5310	22	12	attackers	attacker	NOUN
cana-5310	22	13	can	can	AUX
cana-5310	22	14	not	not	PART
cana-5310	22	15	easily	easily	ADV
cana-5310	22	16	break	break	VERB
cana-5310	22	17	.	.	PUNCT
cana-5310	23	1	elliptic	elliptic	ADJ
cana-5310	23	2	curve	curve	NOUN
cana-5310	23	3	cryptography	cryptography	NOUN
cana-5310	23	4	(	(	PUNCT
cana-5310	23	5	ecc	ecc	PROPN
cana-5310	23	6	)	)	PUNCT
cana-5310	23	7	became	become	VERB
cana-5310	23	8	popular	popular	ADJ
cana-5310	23	9	during	during	ADP
cana-5310	23	10	the	the	DET
cana-5310	23	11	last	last	ADJ
cana-5310	23	12	few	few	ADJ
cana-5310	23	13	years	year	NOUN
cana-5310	23	14	because	because	SCONJ
cana-5310	23	15	it	it	PRON
cana-5310	23	16	provides	provide	VERB
cana-5310	23	17	both	both	CCONJ
cana-5310	23	18	excellent	excellent	ADJ
cana-5310	23	19	security	security	NOUN
cana-5310	23	20	levels	level	NOUN
cana-5310	23	21	and	and	CCONJ
cana-5310	23	22	operational	operational	ADJ
cana-5310	23	23	efficiency	efficiency	NOUN
cana-5310	23	24	[	[	X
cana-5310	23	25	4	4	NUM
cana-5310	23	26	]	]	PUNCT
cana-5310	23	27	.	.	PUNCT
cana-5310	24	1	elliptic	elliptic	ADJ
cana-5310	24	2	curve	curve	NOUN
cana-5310	24	3	cryptography	cryptography	NOUN
cana-5310	24	4	uses	use	VERB
cana-5310	24	5	finite	finite	ADJ
cana-5310	24	6	field	field	NOUN
cana-5310	24	7	elliptic	elliptic	ADJ
cana-5310	24	8	curves	curve	NOUN
cana-5310	24	9	as	as	ADP
cana-5310	24	10	its	its	PRON
cana-5310	24	11	base	base	NOUN
cana-5310	24	12	structure	structure	NOUN
cana-5310	24	13	for	for	ADP
cana-5310	24	14	encryption	encryption	NOUN
cana-5310	24	15	while	while	SCONJ
cana-5310	24	16	ecdlp	ecdlp	NOUN
cana-5310	24	17	represents	represent	VERB
cana-5310	24	18	the	the	DET
cana-5310	24	19	technical	technical	ADJ
cana-5310	24	20	difficulty	difficulty	NOUN
cana-5310	24	21	in	in	ADP
cana-5310	24	22	deriving	derive	VERB
cana-5310	24	23	its	its	PRON
cana-5310	24	24	security	security	NOUN
cana-5310	24	25	.	.	PUNCT
cana-5310	25	1	ecc	ecc	PROPN
cana-5310	25	2	enables	enable	VERB
cana-5310	25	3	extremely	extremely	ADV
cana-5310	25	4	secure	secure	ADJ
cana-5310	25	5	communication	communication	NOUN
cana-5310	25	6	with	with	ADP
cana-5310	25	7	keys	key	NOUN
cana-5310	25	8	that	that	PRON
cana-5310	25	9	require	require	VERB
cana-5310	25	10	fewer	few	ADJ
cana-5310	25	11	bits	bit	NOUN
cana-5310	25	12	than	than	SCONJ
cana-5310	25	13	rsa	rsa	NOUN
cana-5310	25	14	keys	key	VERB
cana-5310	25	15	so	so	SCONJ
cana-5310	25	16	it	it	PRON
cana-5310	25	17	becomes	become	VERB
cana-5310	25	18	an	an	DET
cana-5310	25	19	ideal	ideal	ADJ
cana-5310	25	20	choice	choice	NOUN
cana-5310	25	21	for	for	ADP
cana-5310	25	22	limited	limited	ADJ
cana-5310	25	23	computing	computing	NOUN
cana-5310	25	24	platforms	platform	NOUN
cana-5310	25	25	including	include	VERB
cana-5310	25	26	mobile	mobile	ADJ
cana-5310	25	27	devices	device	NOUN
cana-5310	25	28	and	and	CCONJ
cana-5310	25	29	iot	iot	NOUN
cana-5310	25	30	systems	system	NOUN
cana-5310	25	31	.	.	PUNCT
cana-5310	26	1	quantum	quantum	PROPN
cana-5310	26	2	computing	computing	NOUN
cana-5310	26	3	developed	develop	VERB
cana-5310	26	4	into	into	ADP
cana-5310	26	5	a	a	DET
cana-5310	26	6	major	major	ADJ
cana-5310	26	7	factor	factor	NOUN
cana-5310	26	8	which	which	PRON
cana-5310	26	9	propelled	propel	VERB
cana-5310	26	10	crypto	crypto	NOUN
cana-5310	26	11	research	research	NOUN
cana-5310	26	12	into	into	ADP
cana-5310	26	13	developing	develop	VERB
cana-5310	26	14	alternative	alternative	ADJ
cana-5310	26	15	cryptographic	cryptographic	ADJ
cana-5310	26	16	paradigms	paradigms	NOUN
cana-5310	26	17	for	for	ADP
cana-5310	26	18	digital	digital	ADJ
cana-5310	26	19	system	system	NOUN
cana-5310	26	20	protection	protection	NOUN
cana-5310	26	21	against	against	ADP
cana-5310	26	22	quantum	quantum	NOUN
cana-5310	26	23	vulnerabilities	vulnerability	NOUN
cana-5310	26	24	.	.	PUNCT
cana-5310	27	1	the	the	DET
cana-5310	27	2	post	post	ADJ
cana-5310	27	3	-	-	ADJ
cana-5310	27	4	quantum	quantum	ADJ
cana-5310	27	5	cryptography	cryptography	NOUN
cana-5310	27	6	research	research	NOUN
cana-5310	27	7	leads	lead	VERB
cana-5310	27	8	developers	developer	NOUN
cana-5310	27	9	to	to	PART
cana-5310	27	10	create	create	VERB
cana-5310	27	11	multiple	multiple	ADJ
cana-5310	27	12	cryptographic	cryptographic	ADJ
cana-5310	27	13	primitives	primitive	NOUN
cana-5310	27	14	through	through	ADP
cana-5310	27	15	lattice	lattice	NOUN
cana-5310	27	16	structures	structure	NOUN
cana-5310	27	17	and	and	CCONJ
cana-5310	27	18	hash	hash	NOUN
cana-5310	27	19	functions	function	NOUN
cana-5310	27	20	and	and	CCONJ
cana-5310	27	21	code	code	NOUN
cana-5310	27	22	-	-	PUNCT
cana-5310	27	23	based	base	VERB
cana-5310	27	24	cryptography	cryptography	NOUN
cana-5310	27	25	.	.	PUNCT
cana-5310	28	1	crypto	crypto	PROPN
cana-5310	28	2	developers	developer	NOUN
cana-5310	28	3	work	work	VERB
cana-5310	28	4	to	to	PART
cana-5310	28	5	establish	establish	VERB
cana-5310	28	6	electronic	electronic	ADJ
cana-5310	28	7	systems	system	NOUN
cana-5310	28	8	which	which	PRON
cana-5310	28	9	will	will	AUX
cana-5310	28	10	defend	defend	VERB
cana-5310	28	11	against	against	ADP
cana-5310	28	12	advanced	advanced	ADJ
cana-5310	28	13	cryptanalytic	cryptanalytic	ADJ
cana-5310	28	14	attacks	attack	NOUN
cana-5310	28	15	that	that	PRON
cana-5310	28	16	will	will	AUX
cana-5310	28	17	prevail	prevail	VERB
cana-5310	28	18	with	with	ADP
cana-5310	28	19	quantum	quantum	NOUN
cana-5310	28	20	computing	computing	NOUN
cana-5310	28	21	technology	technology	NOUN
cana-5310	29	1	[	[	X
cana-5310	29	2	12	12	NUM
cana-5310	29	3	]	]	PUNCT
cana-5310	29	4	.	.	PUNCT
cana-5310	30	1	novelty	novelty	NOUN
cana-5310	30	2	and	and	CCONJ
cana-5310	30	3	contribution	contribution	NOUN
cana-5310	30	4	a	a	DET
cana-5310	30	5	complete	complete	ADJ
cana-5310	30	6	analysis	analysis	NOUN
cana-5310	30	7	exists	exist	VERB
cana-5310	30	8	in	in	ADP
cana-5310	30	9	this	this	DET
cana-5310	30	10	paper	paper	NOUN
cana-5310	30	11	about	about	ADP
cana-5310	30	12	recent	recent	ADJ
cana-5310	30	13	number	number	NOUN
cana-5310	30	14	theory	theory	NOUN
cana-5310	30	15	cryptographic	cryptographic	ADJ
cana-5310	30	16	methods	method	NOUN
cana-5310	30	17	while	while	SCONJ
cana-5310	30	18	studying	study	VERB
cana-5310	30	19	the	the	DET
cana-5310	30	20	changes	change	NOUN
cana-5310	30	21	quantum	quantum	NOUN
cana-5310	30	22	computing	computing	NOUN
cana-5310	30	23	presents	present	NOUN
cana-5310	30	24	to	to	ADP
cana-5310	30	25	the	the	DET
cana-5310	30	26	field	field	NOUN
cana-5310	30	27	.	.	PUNCT
cana-5310	31	1	the	the	DET
cana-5310	31	2	main	main	ADJ
cana-5310	31	3	points	point	NOUN
cana-5310	31	4	addressed	address	VERB
cana-5310	31	5	in	in	ADP
cana-5310	31	6	this	this	DET
cana-5310	31	7	paper	paper	NOUN
cana-5310	31	8	include	include	VERB
cana-5310	31	9	:	:	PUNCT
cana-5310	31	10	•	•	ADP
cana-5310	31	11	the	the	DET
cana-5310	31	12	research	research	NOUN
cana-5310	31	13	explores	explore	VERB
cana-5310	31	14	detailed	detailed	ADJ
cana-5310	31	15	explanations	explanation	NOUN
cana-5310	31	16	about	about	ADP
cana-5310	31	17	number	number	NOUN
cana-5310	31	18	-	-	PUNCT
cana-5310	31	19	theoretic	theoretic	NOUN
cana-5310	31	20	methods	method	NOUN
cana-5310	31	21	which	which	PRON
cana-5310	31	22	address	address	VERB
cana-5310	31	23	quantum	quantum	NOUN
cana-5310	31	24	computing	computing	NOUN
cana-5310	31	25	challenges	challenge	NOUN
cana-5310	31	26	through	through	ADP
cana-5310	31	27	both	both	DET
cana-5310	31	28	lattice	lattice	NOUN
cana-5310	31	29	-	-	PUNCT
cana-5310	31	30	based	base	VERB
cana-5310	31	31	cryptography	cryptography	NOUN
cana-5310	31	32	and	and	CCONJ
cana-5310	31	33	additional	additional	ADJ
cana-5310	31	34	quantum	quantum	NOUN
cana-5310	31	35	-	-	PUNCT
cana-5310	31	36	resistant	resistant	ADJ
cana-5310	31	37	cryptographic	cryptographic	ADJ
cana-5310	31	38	systems	system	NOUN
cana-5310	31	39	[	[	X
cana-5310	31	40	10	10	NUM
cana-5310	31	41	]	]	PUNCT
cana-5310	31	42	.	.	PUNCT
cana-5310	32	1	communications	communication	NOUN
cana-5310	32	2	on	on	ADP
cana-5310	32	3	applied	apply	VERB
cana-5310	32	4	nonlinear	nonlinear	ADJ
cana-5310	32	5	analysis	analysis	NOUN
cana-5310	32	6	issn	issn	NOUN
cana-5310	32	7	:	:	PUNCT
cana-5310	32	8	1074	1074	NUM
cana-5310	32	9	-	-	PUNCT
cana-5310	32	10	133x	133x	NUM
cana-5310	32	11	vol	vol	NOUN
cana-5310	32	12	31	31	NUM
cana-5310	32	13	no	no	NOUN
cana-5310	32	14	.	.	PUNCT
cana-5310	33	1	5s	5s	NUM
cana-5310	33	2	(	(	PUNCT
cana-5310	33	3	2024	2024	NUM
cana-5310	33	4	)	)	PUNCT
cana-5310	33	5	583	583	NUM
cana-5310	33	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5310	33	7	•	•	NOUN
cana-5310	33	8	the	the	DET
cana-5310	33	9	paper	paper	NOUN
cana-5310	33	10	investigates	investigate	VERB
cana-5310	33	11	contemporary	contemporary	ADJ
cana-5310	33	12	improvements	improvement	NOUN
cana-5310	33	13	of	of	ADP
cana-5310	33	14	elliptic	elliptic	ADJ
cana-5310	33	15	curve	curve	NOUN
cana-5310	33	16	cryptography	cryptography	NOUN
cana-5310	33	17	(	(	PUNCT
cana-5310	33	18	ecc	ecc	PROPN
cana-5310	33	19	)	)	PUNCT
cana-5310	33	20	focusing	focus	VERB
cana-5310	33	21	on	on	ADP
cana-5310	33	22	security	security	NOUN
cana-5310	33	23	and	and	CCONJ
cana-5310	33	24	efficiency	efficiency	NOUN
cana-5310	33	25	optimization	optimization	NOUN
cana-5310	33	26	advances	advance	NOUN
cana-5310	33	27	.	.	PUNCT
cana-5310	34	1	the	the	DET
cana-5310	34	2	paper	paper	NOUN
cana-5310	34	3	adds	add	VERB
cana-5310	34	4	to	to	ADP
cana-5310	34	5	ecc	ecc	PROPN
cana-5310	34	6	's	's	PART
cana-5310	34	7	suitability	suitability	NOUN
cana-5310	34	8	for	for	ADP
cana-5310	34	9	current	current	ADJ
cana-5310	34	10	cryptographic	cryptographic	ADJ
cana-5310	34	11	applications	application	NOUN
cana-5310	34	12	through	through	ADP
cana-5310	34	13	an	an	DET
cana-5310	34	14	evaluation	evaluation	NOUN
cana-5310	34	15	of	of	ADP
cana-5310	34	16	ecc	ecc	NOUN
cana-5310	34	17	developments	development	NOUN
cana-5310	34	18	about	about	ADP
cana-5310	34	19	curve	curve	NOUN
cana-5310	34	20	selection	selection	NOUN
cana-5310	34	21	and	and	CCONJ
cana-5310	34	22	key	key	ADJ
cana-5310	34	23	generation	generation	NOUN
cana-5310	34	24	techniques	technique	NOUN
cana-5310	34	25	and	and	CCONJ
cana-5310	34	26	their	their	PRON
cana-5310	34	27	latest	late	ADJ
cana-5310	34	28	research	research	NOUN
cana-5310	34	29	findings	finding	NOUN
cana-5310	34	30	.	.	PUNCT
cana-5310	35	1	•	•	NUM
cana-5310	35	2	the	the	DET
cana-5310	35	3	paper	paper	NOUN
cana-5310	35	4	explores	explore	NOUN
cana-5310	35	5	upcoming	upcome	VERB
cana-5310	35	6	cryptographic	cryptographic	ADJ
cana-5310	35	7	primitives	primitive	NOUN
cana-5310	35	8	which	which	PRON
cana-5310	35	9	may	may	AUX
cana-5310	35	10	function	function	VERB
cana-5310	35	11	as	as	ADP
cana-5310	35	12	alternatives	alternative	NOUN
cana-5310	35	13	to	to	ADP
cana-5310	35	14	present	present	ADJ
cana-5310	35	15	number	number	NOUN
cana-5310	35	16	-	-	PUNCT
cana-5310	35	17	theoretic	theoretic	NOUN
cana-5310	35	18	schemes	scheme	NOUN
cana-5310	35	19	by	by	ADP
cana-5310	35	20	focusing	focus	VERB
cana-5310	35	21	on	on	ADP
cana-5310	35	22	hash	hash	NOUN
cana-5310	35	23	-	-	PUNCT
cana-5310	35	24	based	base	VERB
cana-5310	35	25	signatures	signature	NOUN
cana-5310	35	26	and	and	CCONJ
cana-5310	35	27	code	code	NOUN
cana-5310	35	28	-	-	PUNCT
cana-5310	35	29	based	base	VERB
cana-5310	35	30	encryption	encryption	NOUN
cana-5310	35	31	.	.	PUNCT
cana-5310	36	1	the	the	DET
cana-5310	36	2	analysis	analysis	NOUN
cana-5310	36	3	establishes	establish	VERB
cana-5310	36	4	necessary	necessary	ADJ
cana-5310	36	5	knowledge	knowledge	NOUN
cana-5310	36	6	for	for	ADP
cana-5310	36	7	determining	determine	VERB
cana-5310	36	8	whether	whether	SCONJ
cana-5310	36	9	postquantum	postquantum	NOUN
cana-5310	36	10	cryptography	cryptography	NOUN
cana-5310	36	11	can	can	AUX
cana-5310	36	12	become	become	VERB
cana-5310	36	13	viable	viable	ADJ
cana-5310	36	14	in	in	ADP
cana-5310	36	15	practical	practical	ADJ
cana-5310	36	16	use	use	NOUN
cana-5310	36	17	.	.	PUNCT
cana-5310	37	1	this	this	DET
cana-5310	37	2	paper	paper	NOUN
cana-5310	37	3	delivers	deliver	VERB
cana-5310	37	4	a	a	DET
cana-5310	37	5	valuable	valuable	ADJ
cana-5310	37	6	reference	reference	NOUN
cana-5310	37	7	on	on	ADP
cana-5310	37	8	classical	classical	ADJ
cana-5310	37	9	and	and	CCONJ
cana-5310	37	10	quantum	quantum	NOUN
cana-5310	37	11	-	-	PUNCT
cana-5310	37	12	resistant	resistant	ADJ
cana-5310	37	13	cryptographic	cryptographic	ADJ
cana-5310	37	14	methods	method	NOUN
cana-5310	37	15	which	which	PRON
cana-5310	37	16	supports	support	VERB
cana-5310	37	17	researchers	researcher	NOUN
cana-5310	37	18	and	and	CCONJ
cana-5310	37	19	practitioners	practitioner	NOUN
cana-5310	37	20	plus	plus	CCONJ
cana-5310	37	21	policymakers	policymaker	NOUN
cana-5310	37	22	who	who	PRON
cana-5310	37	23	study	study	VERB
cana-5310	37	24	network	network	NOUN
cana-5310	37	25	security	security	NOUN
cana-5310	37	26	development	development	NOUN
cana-5310	37	27	[	[	X
cana-5310	37	28	11	11	NUM
cana-5310	37	29	]	]	PUNCT
cana-5310	37	30	.	.	PUNCT
cana-5310	38	1	ii	ii	PROPN
cana-5310	38	2	.	.	PROPN
cana-5310	38	3	related	relate	VERB
cana-5310	38	4	works	work	NOUN
cana-5310	38	5	in	in	ADP
cana-5310	38	6	2024	2024	NUM
cana-5310	38	7	y.	y.	PROPN
cana-5310	38	8	cheng	cheng	PROPN
cana-5310	38	9	,	,	PUNCT
cana-5310	38	10	[	[	X
cana-5310	38	11	13	13	NUM
cana-5310	38	12	]	]	PUNCT
cana-5310	38	13	introduced	introduce	VERB
cana-5310	38	14	the	the	DET
cana-5310	38	15	deployment	deployment	NOUN
cana-5310	38	16	of	of	ADP
cana-5310	38	17	public	public	ADJ
cana-5310	38	18	-	-	PUNCT
cana-5310	38	19	key	key	NOUN
cana-5310	38	20	cryptography	cryptography	NOUN
cana-5310	38	21	within	within	ADP
cana-5310	38	22	classical	classical	ADJ
cana-5310	38	23	cryptography	cryptography	NOUN
cana-5310	38	24	systems	system	NOUN
cana-5310	38	25	relies	rely	VERB
cana-5310	38	26	primarily	primarily	ADV
cana-5310	38	27	on	on	ADP
cana-5310	38	28	number	number	NOUN
cana-5310	38	29	theory	theory	NOUN
cana-5310	38	30	computational	computational	ADJ
cana-5310	38	31	obstacles	obstacle	NOUN
cana-5310	38	32	.	.	PUNCT
cana-5310	39	1	two	two	NUM
cana-5310	39	2	recognized	recognize	VERB
cana-5310	39	3	cryptographic	cryptographic	ADJ
cana-5310	39	4	problems	problem	NOUN
cana-5310	39	5	emerge	emerge	VERB
cana-5310	39	6	from	from	ADP
cana-5310	39	7	finding	find	VERB
cana-5310	39	8	big	big	ADJ
cana-5310	39	9	integer	integer	NOUN
cana-5310	39	10	prime	prime	ADJ
cana-5310	39	11	factorizations	factorization	NOUN
cana-5310	39	12	and	and	CCONJ
cana-5310	39	13	solving	solve	VERB
cana-5310	39	14	discrete	discrete	ADJ
cana-5310	39	15	logarithms	logarithm	NOUN
cana-5310	39	16	.	.	PUNCT
cana-5310	40	1	the	the	DET
cana-5310	40	2	core	core	NOUN
cana-5310	40	3	mechanisms	mechanism	NOUN
cana-5310	40	4	of	of	ADP
cana-5310	40	5	rsa	rsa	PROPN
cana-5310	40	6	security	security	NOUN
cana-5310	40	7	protocol	protocol	NOUN
cana-5310	40	8	together	together	ADV
cana-5310	40	9	with	with	ADP
cana-5310	40	10	diffie	diffie	PROPN
cana-5310	40	11	-	-	PUNCT
cana-5310	40	12	hellman	hellman	PROPN
cana-5310	40	13	separate	separate	ADJ
cana-5310	40	14	from	from	ADP
cana-5310	40	15	number	number	NOUN
cana-5310	40	16	theory	theory	NOUN
cana-5310	40	17	apply	apply	VERB
cana-5310	40	18	number	number	NOUN
cana-5310	40	19	-	-	PUNCT
cana-5310	40	20	theoretic	theoretic	NOUN
cana-5310	40	21	principles	principle	NOUN
cana-5310	40	22	as	as	ADP
cana-5310	40	23	their	their	PRON
cana-5310	40	24	base	base	NOUN
cana-5310	40	25	.	.	PUNCT
cana-5310	41	1	the	the	DET
cana-5310	41	2	working	work	VERB
cana-5310	41	3	principle	principle	NOUN
cana-5310	41	4	of	of	ADP
cana-5310	41	5	rsa	rsa	PROPN
cana-5310	41	6	encryption	encryption	NOUN
cana-5310	41	7	requires	require	VERB
cana-5310	41	8	solving	solve	VERB
cana-5310	41	9	prime	prime	ADJ
cana-5310	41	10	number	number	NOUN
cana-5310	41	11	product	product	NOUN
cana-5310	41	12	composite	composite	ADJ
cana-5310	41	13	numbers	number	NOUN
cana-5310	41	14	because	because	SCONJ
cana-5310	41	15	their	their	PRON
cana-5310	41	16	breakable	breakable	ADJ
cana-5310	41	17	mathematical	mathematical	ADJ
cana-5310	41	18	complexity	complexity	NOUN
cana-5310	41	19	level	level	NOUN
cana-5310	41	20	remains	remain	VERB
cana-5310	41	21	high	high	ADJ
cana-5310	41	22	.	.	PUNCT
cana-5310	42	1	the	the	DET
cana-5310	42	2	security	security	NOUN
cana-5310	42	3	of	of	ADP
cana-5310	42	4	rsa	rsa	PROPN
cana-5310	42	5	hinges	hinge	NOUN
cana-5310	42	6	on	on	ADP
cana-5310	42	7	the	the	DET
cana-5310	42	8	computational	computational	ADJ
cana-5310	42	9	infeasibility	infeasibility	NOUN
cana-5310	42	10	of	of	ADP
cana-5310	42	11	this	this	DET
cana-5310	42	12	factorization	factorization	NOUN
cana-5310	42	13	problem	problem	NOUN
cana-5310	42	14	.	.	PUNCT
cana-5310	43	1	the	the	DET
cana-5310	43	2	exponent	exponent	ADJ
cana-5310	43	3	-	-	PUNCT
cana-5310	43	4	search	search	NOUN
cana-5310	43	5	operation	operation	NOUN
cana-5310	43	6	within	within	ADP
cana-5310	43	7	discrete	discrete	ADJ
cana-5310	43	8	logarithm	logarithm	NOUN
cana-5310	43	9	represents	represent	VERB
cana-5310	43	10	the	the	DET
cana-5310	43	11	central	central	ADJ
cana-5310	43	12	functional	functional	ADJ
cana-5310	43	13	element	element	NOUN
cana-5310	43	14	of	of	ADP
cana-5310	43	15	the	the	DET
cana-5310	43	16	diffie	diffie	PROPN
cana-5310	43	17	-	-	PUNCT
cana-5310	43	18	hellman	hellman	PROPN
cana-5310	43	19	key	key	PROPN
cana-5310	43	20	exchange	exchange	NOUN
cana-5310	43	21	algorithm	algorithm	NOUN
cana-5310	43	22	working	work	VERB
cana-5310	43	23	within	within	ADP
cana-5310	43	24	finite	finite	ADJ
cana-5310	43	25	fields	field	NOUN
cana-5310	43	26	.	.	PUNCT
cana-5310	44	1	multiple	multiple	ADJ
cana-5310	44	2	research	research	NOUN
cana-5310	44	3	studies	study	NOUN
cana-5310	44	4	about	about	ADP
cana-5310	44	5	these	these	DET
cana-5310	44	6	number	number	NOUN
cana-5310	44	7	-	-	PUNCT
cana-5310	44	8	based	base	VERB
cana-5310	44	9	problems	problem	NOUN
cana-5310	44	10	have	have	AUX
cana-5310	44	11	established	establish	VERB
cana-5310	44	12	secure	secure	ADJ
cana-5310	44	13	digital	digital	ADJ
cana-5310	44	14	communications	communication	NOUN
cana-5310	44	15	via	via	ADP
cana-5310	44	16	traditional	traditional	ADJ
cana-5310	44	17	encryption	encryption	NOUN
cana-5310	44	18	algorithms	algorithm	NOUN
cana-5310	44	19	.	.	PUNCT
cana-5310	45	1	in	in	ADP
cana-5310	45	2	2020	2020	NUM
cana-5310	45	3	l.	l.	PROPN
cana-5310	45	4	beshaj	beshaj	PROPN
cana-5310	45	5	et.al	et.al	PROPN
cana-5310	45	6	.	.	PUNCT
cana-5310	46	1	and	and	CCONJ
cana-5310	46	2	a.	a.	PROPN
cana-5310	46	3	o.	o.	PROPN
cana-5310	46	4	hall	hall	PROPN
cana-5310	46	5	et.al	et.al	PROPN
cana-5310	46	6	.	.	PUNCT
cana-5310	47	1	[	[	X
cana-5310	47	2	1	1	X
cana-5310	47	3	]	]	PUNCT
cana-5310	47	4	suggested	suggest	VERB
cana-5310	47	5	the	the	DET
cana-5310	47	6	modern	modern	ADJ
cana-5310	47	7	computational	computational	ADJ
cana-5310	47	8	abilities	ability	NOUN
cana-5310	47	9	have	have	AUX
cana-5310	47	10	led	lead	VERB
cana-5310	47	11	ecc	ecc	PROPN
cana-5310	47	12	to	to	PART
cana-5310	47	13	replace	replace	VERB
cana-5310	47	14	rsa	rsa	PROPN
cana-5310	47	15	and	and	CCONJ
cana-5310	47	16	diffie	diffie	PROPN
cana-5310	47	17	-	-	PUNCT
cana-5310	47	18	hellman	hellman	PROPN
cana-5310	47	19	as	as	ADP
cana-5310	47	20	a	a	DET
cana-5310	47	21	high	high	ADJ
cana-5310	47	22	-	-	PUNCT
cana-5310	47	23	performance	performance	NOUN
cana-5310	47	24	digital	digital	ADJ
cana-5310	47	25	encryption	encryption	NOUN
cana-5310	47	26	system	system	NOUN
cana-5310	47	27	.	.	PUNCT
cana-5310	48	1	ecc	ecc	PROPN
cana-5310	48	2	security	security	NOUN
cana-5310	48	3	derives	derive	VERB
cana-5310	48	4	from	from	ADP
cana-5310	48	5	the	the	DET
cana-5310	48	6	solution	solution	NOUN
cana-5310	48	7	of	of	ADP
cana-5310	48	8	ecdlp	ecdlp	NOUN
cana-5310	48	9	when	when	SCONJ
cana-5310	48	10	operating	operate	VERB
cana-5310	48	11	within	within	ADP
cana-5310	48	12	elliptic	elliptic	ADJ
cana-5310	48	13	curves	curve	NOUN
cana-5310	48	14	that	that	PRON
cana-5310	48	15	utilize	utilize	VERB
cana-5310	48	16	finite	finite	ADJ
cana-5310	48	17	fields	field	NOUN
cana-5310	48	18	for	for	ADP
cana-5310	48	19	their	their	PRON
cana-5310	48	20	algebraic	algebraic	ADJ
cana-5310	48	21	structure	structure	NOUN
cana-5310	48	22	.	.	PUNCT
cana-5310	49	1	ecc	ecc	PROPN
cana-5310	49	2	delivers	deliver	VERB
cana-5310	49	3	equivalent	equivalent	PROPN
cana-5310	49	4	rsa	rsa	PROPN
cana-5310	49	5	security	security	NOUN
cana-5310	49	6	standards	standard	NOUN
cana-5310	49	7	through	through	ADP
cana-5310	49	8	keys	key	NOUN
cana-5310	49	9	that	that	PRON
cana-5310	49	10	occupy	occupy	VERB
cana-5310	49	11	minimal	minimal	ADJ
cana-5310	49	12	space	space	NOUN
cana-5310	49	13	thus	thus	ADV
cana-5310	49	14	making	make	VERB
cana-5310	49	15	it	it	PRON
cana-5310	49	16	the	the	DET
cana-5310	49	17	ideal	ideal	ADJ
cana-5310	49	18	choice	choice	NOUN
cana-5310	49	19	for	for	ADP
cana-5310	49	20	restricting	restrict	VERB
cana-5310	49	21	hardware	hardware	NOUN
cana-5310	49	22	devices	device	NOUN
cana-5310	49	23	such	such	ADJ
cana-5310	49	24	as	as	ADP
cana-5310	49	25	mobile	mobile	ADJ
cana-5310	49	26	phones	phone	NOUN
cana-5310	49	27	and	and	CCONJ
cana-5310	49	28	iot	iot	NOUN
cana-5310	49	29	devices	device	NOUN
cana-5310	49	30	.	.	PUNCT
cana-5310	50	1	the	the	DET
cana-5310	50	2	security	security	NOUN
cana-5310	50	3	model	model	NOUN
cana-5310	50	4	of	of	ADP
cana-5310	50	5	ecc	ecc	PROPN
cana-5310	50	6	works	work	NOUN
cana-5310	50	7	as	as	ADP
cana-5310	50	8	an	an	DET
cana-5310	50	9	advancing	advance	VERB
cana-5310	50	10	cryptographic	cryptographic	ADJ
cana-5310	50	11	framework	framework	NOUN
cana-5310	50	12	through	through	ADP
cana-5310	50	13	its	its	PRON
cana-5310	50	14	operative	operative	ADJ
cana-5310	50	15	advantages	advantage	NOUN
cana-5310	50	16	which	which	PRON
cana-5310	50	17	pull	pull	VERB
cana-5310	50	18	contemporary	contemporary	ADJ
cana-5310	50	19	application	application	NOUN
cana-5310	50	20	systems	system	NOUN
cana-5310	50	21	.	.	PUNCT
cana-5310	51	1	the	the	DET
cana-5310	51	2	adoption	adoption	NOUN
cana-5310	51	3	of	of	ADP
cana-5310	51	4	lattice	lattice	NOUN
cana-5310	51	5	-	-	PUNCT
cana-5310	51	6	based	base	VERB
cana-5310	51	7	cryptography	cryptography	NOUN
cana-5310	51	8	as	as	ADP
cana-5310	51	9	a	a	DET
cana-5310	51	10	standard	standard	ADJ
cana-5310	51	11	number	number	NOUN
cana-5310	51	12	-	-	PUNCT
cana-5310	51	13	theoretic	theoretic	NOUN
cana-5310	51	14	cryptosystem	cryptosystem	NOUN
cana-5310	51	15	substitute	substitute	NOUN
cana-5310	51	16	occurs	occur	VERB
cana-5310	51	17	because	because	SCONJ
cana-5310	51	18	researchers	researcher	NOUN
cana-5310	51	19	view	view	VERB
cana-5310	51	20	it	it	PRON
cana-5310	51	21	as	as	ADP
cana-5310	51	22	essential	essential	ADJ
cana-5310	51	23	for	for	ADP
cana-5310	51	24	developing	develop	VERB
cana-5310	51	25	post	post	ADJ
cana-5310	51	26	-	-	ADJ
cana-5310	51	27	quantum	quantum	ADJ
cana-5310	51	28	cryptography	cryptography	NOUN
cana-5310	51	29	research	research	NOUN
cana-5310	51	30	.	.	PUNCT
cana-5310	52	1	the	the	DET
cana-5310	52	2	quantum	quantum	NOUN
cana-5310	52	3	computing	computing	NOUN
cana-5310	52	4	threats	threat	NOUN
cana-5310	52	5	to	to	PART
cana-5310	52	6	secure	secure	VERB
cana-5310	52	7	data	datum	NOUN
cana-5310	52	8	can	can	AUX
cana-5310	52	9	be	be	AUX
cana-5310	52	10	addressed	address	VERB
cana-5310	52	11	by	by	ADP
cana-5310	52	12	using	use	VERB
cana-5310	52	13	lwe	lwe	PROPN
cana-5310	52	14	and	and	CCONJ
cana-5310	52	15	svp	svp	PROPN
cana-5310	52	16	lattice	lattice	PROPN
cana-5310	52	17	problems	problem	NOUN
cana-5310	52	18	because	because	SCONJ
cana-5310	52	19	experts	expert	NOUN
cana-5310	52	20	believe	believe	VERB
cana-5310	52	21	these	these	DET
cana-5310	52	22	problems	problem	NOUN
cana-5310	52	23	will	will	AUX
cana-5310	52	24	remain	remain	VERB
cana-5310	52	25	challenging	challenging	ADJ
cana-5310	52	26	for	for	ADP
cana-5310	52	27	quantum	quantum	ADJ
cana-5310	52	28	computers	computer	NOUN
cana-5310	52	29	.	.	PUNCT
cana-5310	53	1	communications	communication	NOUN
cana-5310	53	2	on	on	ADP
cana-5310	53	3	applied	apply	VERB
cana-5310	53	4	nonlinear	nonlinear	ADJ
cana-5310	53	5	analysis	analysis	NOUN
cana-5310	53	6	issn	issn	NOUN
cana-5310	53	7	:	:	PUNCT
cana-5310	53	8	1074	1074	NUM
cana-5310	53	9	-	-	PUNCT
cana-5310	53	10	133x	133x	NUM
cana-5310	53	11	vol	vol	NOUN
cana-5310	53	12	31	31	NUM
cana-5310	53	13	no	no	NOUN
cana-5310	53	14	.	.	PUNCT
cana-5310	54	1	5s	5s	NUM
cana-5310	54	2	(	(	PUNCT
cana-5310	54	3	2024	2024	NUM
cana-5310	54	4	)	)	PUNCT
cana-5310	54	5	584	584	NUM
cana-5310	54	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5310	54	7	in	in	ADP
cana-5310	54	8	2020	2020	NUM
cana-5310	54	9	s.	s.	PROPN
cana-5310	54	10	pirandola	pirandola	PROPN
cana-5310	54	11	et	et	PROPN
cana-5310	55	1	al	al	PROPN
cana-5310	55	2	.	.	PROPN
cana-5310	55	3	,	,	PUNCT
cana-5310	56	1	[	[	X
cana-5310	56	2	5	5	NUM
cana-5310	56	3	]	]	PUNCT
cana-5310	56	4	proposed	propose	VERB
cana-5310	56	5	the	the	DET
cana-5310	56	6	quantum	quantum	ADJ
cana-5310	56	7	computers	computer	NOUN
cana-5310	56	8	delivered	deliver	VERB
cana-5310	56	9	substantial	substantial	ADJ
cana-5310	56	10	transformation	transformation	NOUN
cana-5310	56	11	to	to	ADP
cana-5310	56	12	the	the	DET
cana-5310	56	13	field	field	NOUN
cana-5310	56	14	of	of	ADP
cana-5310	56	15	cryptographic	cryptographic	ADJ
cana-5310	56	16	research	research	NOUN
cana-5310	56	17	because	because	SCONJ
cana-5310	56	18	of	of	ADP
cana-5310	56	19	their	their	PRON
cana-5310	56	20	technological	technological	ADJ
cana-5310	56	21	advancements	advancement	NOUN
cana-5310	56	22	.	.	PUNCT
cana-5310	57	1	shor	shor	PROPN
cana-5310	57	2	's	's	PART
cana-5310	57	3	algorithm	algorithm	NOUN
cana-5310	57	4	when	when	SCONJ
cana-5310	57	5	combined	combine	VERB
cana-5310	57	6	with	with	ADP
cana-5310	57	7	discrete	discrete	ADJ
cana-5310	57	8	logarithm	logarithm	NOUN
cana-5310	57	9	problem	problem	NOUN
cana-5310	57	10	works	work	VERB
cana-5310	57	11	as	as	ADP
cana-5310	57	12	quantum	quantum	NOUN
cana-5310	57	13	algorithms	algorithm	NOUN
cana-5310	57	14	which	which	PRON
cana-5310	57	15	break	break	VERB
cana-5310	57	16	classical	classical	ADJ
cana-5310	57	17	cryptographic	cryptographic	ADJ
cana-5310	57	18	systems	system	NOUN
cana-5310	57	19	through	through	ADP
cana-5310	57	20	solving	solve	VERB
cana-5310	57	21	numbertheoretic	numbertheoretic	ADJ
cana-5310	57	22	problems	problem	NOUN
cana-5310	57	23	.	.	PUNCT
cana-5310	58	1	two	two	NUM
cana-5310	58	2	major	major	ADJ
cana-5310	58	3	approaches	approach	NOUN
cana-5310	58	4	to	to	PART
cana-5310	58	5	create	create	VERB
cana-5310	58	6	quantum	quantum	NOUN
cana-5310	58	7	-	-	PUNCT
cana-5310	58	8	resistant	resistant	ADJ
cana-5310	58	9	encryption	encryption	NOUN
cana-5310	58	10	require	require	VERB
cana-5310	58	11	both	both	CCONJ
cana-5310	58	12	the	the	DET
cana-5310	58	13	utilization	utilization	NOUN
cana-5310	58	14	of	of	ADP
cana-5310	58	15	lattice	lattice	NOUN
cana-5310	58	16	-	-	PUNCT
cana-5310	58	17	based	base	VERB
cana-5310	58	18	cryptography	cryptography	NOUN
cana-5310	58	19	as	as	ADV
cana-5310	58	20	well	well	ADV
cana-5310	58	21	as	as	ADP
cana-5310	58	22	code	code	NOUN
cana-5310	58	23	-	-	PUNCT
cana-5310	58	24	based	base	VERB
cana-5310	58	25	cryptography	cryptography	NOUN
cana-5310	58	26	and	and	CCONJ
cana-5310	58	27	hashbased	hashbased	ADJ
cana-5310	58	28	signatures	signature	NOUN
cana-5310	58	29	.	.	PUNCT
cana-5310	59	1	iii	iii	X
cana-5310	59	2	.	.	PROPN
cana-5310	59	3	proposed	propose	VERB
cana-5310	59	4	methodology	methodology	NOUN
cana-5310	59	5	this	this	DET
cana-5310	59	6	study	study	NOUN
cana-5310	59	7	examines	examine	VERB
cana-5310	59	8	number	number	NOUN
cana-5310	59	9	-	-	PUNCT
cana-5310	59	10	theoretic	theoretic	NOUN
cana-5310	59	11	problem	problem	NOUN
cana-5310	59	12	cryptographic	cryptographic	ADJ
cana-5310	59	13	system	system	NOUN
cana-5310	59	14	integration	integration	NOUN
cana-5310	59	15	by	by	ADP
cana-5310	59	16	implementing	implement	VERB
cana-5310	59	17	a	a	DET
cana-5310	59	18	method	method	NOUN
cana-5310	59	19	that	that	PRON
cana-5310	59	20	enhances	enhance	VERB
cana-5310	59	21	quantum	quantum	ADJ
cana-5310	59	22	resistance	resistance	NOUN
cana-5310	59	23	.	.	PUNCT
cana-5310	60	1	the	the	DET
cana-5310	60	2	post	post	ADJ
cana-5310	60	3	-	-	ADJ
cana-5310	60	4	quantum	quantum	ADJ
cana-5310	60	5	cryptosystem	cryptosystem	NOUN
cana-5310	60	6	incorporates	incorporate	VERB
cana-5310	60	7	rsa	rsa	NOUN
cana-5310	60	8	encryption	encryption	NOUN
cana-5310	60	9	as	as	ADV
cana-5310	60	10	well	well	ADV
cana-5310	60	11	as	as	ADP
cana-5310	60	12	ecc	ecc	NOUN
cana-5310	60	13	encryption	encryption	NOUN
cana-5310	60	14	and	and	CCONJ
cana-5310	60	15	lattice	lattice	NOUN
cana-5310	60	16	-	-	PUNCT
cana-5310	60	17	based	base	VERB
cana-5310	60	18	techniques	technique	NOUN
cana-5310	60	19	alongside	alongside	ADP
cana-5310	60	20	the	the	DET
cana-5310	60	21	existing	exist	VERB
cana-5310	60	22	cryptographic	cryptographic	ADJ
cana-5310	60	23	problems	problem	NOUN
cana-5310	60	24	that	that	PRON
cana-5310	60	25	include	include	VERB
cana-5310	60	26	learning	learn	VERB
cana-5310	60	27	with	with	ADP
cana-5310	60	28	errors	error	NOUN
cana-5310	60	29	(	(	PUNCT
cana-5310	60	30	lwe	lwe	PROPN
cana-5310	60	31	)	)	PUNCT
cana-5310	60	32	and	and	CCONJ
cana-5310	60	33	shortest	short	ADJ
cana-5310	60	34	vector	vector	NOUN
cana-5310	60	35	problem	problem	NOUN
cana-5310	60	36	(	(	PUNCT
cana-5310	60	37	svp	svp	NOUN
cana-5310	60	38	)	)	PUNCT
cana-5310	61	1	[	[	X
cana-5310	61	2	6	6	NUM
cana-5310	61	3	]	]	PUNCT
cana-5310	61	4	.	.	PUNCT
cana-5310	62	1	under	under	ADP
cana-5310	62	2	evaluation	evaluation	NOUN
cana-5310	62	3	cryptographic	cryptographic	ADJ
cana-5310	62	4	protocols	protocol	NOUN
cana-5310	62	5	take	take	VERB
cana-5310	62	6	elements	element	NOUN
cana-5310	62	7	from	from	ADP
cana-5310	62	8	number	number	NOUN
cana-5310	62	9	theory	theory	NOUN
cana-5310	62	10	which	which	PRON
cana-5310	62	11	heavily	heavily	ADV
cana-5310	62	12	depends	depend	VERB
cana-5310	62	13	on	on	ADP
cana-5310	62	14	modular	modular	ADJ
cana-5310	62	15	arithmetic	arithmetic	NOUN
cana-5310	62	16	together	together	ADV
cana-5310	62	17	with	with	ADP
cana-5310	62	18	algebraic	algebraic	ADJ
cana-5310	62	19	structures	structure	NOUN
cana-5310	62	20	for	for	ADP
cana-5310	62	21	their	their	PRON
cana-5310	62	22	mathematical	mathematical	ADJ
cana-5310	62	23	foundation	foundation	NOUN
cana-5310	62	24	.	.	PUNCT
cana-5310	63	1	rsas	rsa	NOUN
cana-5310	63	2	encryption	encryption	NOUN
cana-5310	63	3	algorithm	algorithm	NOUN
cana-5310	63	4	first	first	ADV
cana-5310	63	5	produces	produce	VERB
cana-5310	63	6	the	the	DET
cana-5310	63	7	large	large	ADJ
cana-5310	63	8	number	number	NOUN
cana-5310	63	9	n	n	NUM
cana-5310	63	10	by	by	ADP
cana-5310	63	11	multiplying	multiply	VERB
cana-5310	63	12	p	p	NOUN
cana-5310	63	13	and	and	CCONJ
cana-5310	63	14	q	q	X
cana-5310	63	15	before	before	ADP
cana-5310	63	16	conducting	conduct	VERB
cana-5310	63	17	modular	modular	ADJ
cana-5310	63	18	exponentiation	exponentiation	NOUN
cana-5310	63	19	operations	operation	NOUN
cana-5310	63	20	.	.	PUNCT
cana-5310	64	1	the	the	DET
cana-5310	64	2	e	e	NOUN
cana-5310	64	3	encryption	encryption	NOUN
cana-5310	64	4	function	function	NOUN
cana-5310	64	5	receives	receive	VERB
cana-5310	64	6	its	its	PRON
cana-5310	64	7	definition	definition	NOUN
cana-5310	64	8	according	accord	VERB
cana-5310	64	9	to	to	ADP
cana-5310	64	10	:	:	PUNCT
cana-5310	64	11	𝐸(𝑚	𝐸(𝑚	NUM
cana-5310	64	12	)	)	PUNCT
cana-5310	64	13	=	=	PUNCT
cana-5310	64	14	𝑚𝑒	𝑚𝑒	ADP
cana-5310	64	15	mod𝑛	mod𝑛	NOUN
cana-5310	64	16	where	where	SCONJ
cana-5310	64	17	𝑚	𝑚	PROPN
cana-5310	64	18	is	be	AUX
cana-5310	64	19	the	the	DET
cana-5310	64	20	plaintext	plaintext	NOUN
cana-5310	64	21	message	message	NOUN
cana-5310	64	22	,	,	PUNCT
cana-5310	64	23	𝑒	𝑒	PROPN
cana-5310	64	24	is	be	AUX
cana-5310	64	25	the	the	DET
cana-5310	64	26	public	public	ADJ
cana-5310	64	27	exponent	exponent	NOUN
cana-5310	64	28	,	,	PUNCT
cana-5310	64	29	and	and	CCONJ
cana-5310	64	30	𝑛	𝑛	PROPN
cana-5310	64	31	is	be	AUX
cana-5310	64	32	the	the	DET
cana-5310	64	33	product	product	NOUN
cana-5310	64	34	of	of	ADP
cana-5310	64	35	two	two	NUM
cana-5310	64	36	primes	prime	NOUN
cana-5310	64	37	,	,	PUNCT
cana-5310	64	38	𝒑	𝒑	PROPN
cana-5310	64	39	and	and	CCONJ
cana-5310	64	40	𝒒.	𝒒.	VERB
cana-5310	64	41	decryption	decryption	NOUN
cana-5310	64	42	is	be	AUX
cana-5310	64	43	the	the	DET
cana-5310	64	44	inverse	inverse	NOUN
cana-5310	64	45	operation	operation	NOUN
cana-5310	64	46	,	,	PUNCT
cana-5310	64	47	expressed	express	VERB
cana-5310	64	48	as	as	ADP
cana-5310	64	49	:	:	PUNCT
cana-5310	64	50	𝐷(𝑐	𝐷(𝑐	ADJ
cana-5310	64	51	)	)	PUNCT
cana-5310	64	52	=	=	SYM
cana-5310	64	53	𝑐𝑑mod𝑛	𝑐𝑑mod𝑛	NOUN
cana-5310	64	54	where	where	SCONJ
cana-5310	64	55	𝑐	𝑐	PROPN
cana-5310	64	56	is	be	AUX
cana-5310	64	57	the	the	DET
cana-5310	64	58	ciphertext	ciphertext	NOUN
cana-5310	64	59	,	,	PUNCT
cana-5310	64	60	and	and	CCONJ
cana-5310	64	61	𝑑	𝑑	PROPN
cana-5310	64	62	is	be	AUX
cana-5310	64	63	the	the	DET
cana-5310	64	64	private	private	ADJ
cana-5310	64	65	exponent	exponent	NOUN
cana-5310	64	66	,	,	PUNCT
cana-5310	64	67	which	which	PRON
cana-5310	64	68	is	be	AUX
cana-5310	64	69	computed	compute	VERB
cana-5310	64	70	as	as	ADP
cana-5310	64	71	the	the	DET
cana-5310	64	72	modular	modular	ADJ
cana-5310	64	73	inverse	inverse	NOUN
cana-5310	64	74	of	of	ADP
cana-5310	64	75	𝑒	𝑒	PROPN
cana-5310	64	76	modulo	modulo	NOUN
cana-5310	64	77	𝜑(𝑛	𝜑(𝑛	NOUN
cana-5310	64	78	)	)	PUNCT
cana-5310	64	79	,	,	PUNCT
cana-5310	64	80	where	where	SCONJ
cana-5310	64	81	𝜑(𝑛	𝜑(𝑛	X
cana-5310	64	82	)	)	PUNCT
cana-5310	64	83	=	=	SYM
cana-5310	65	1	(	(	PUNCT
cana-5310	65	2	𝑝	𝑝	NOUN
cana-5310	65	3	−	−	NOUN
cana-5310	65	4	1)(𝑞	1)(𝑞	NUM
cana-5310	65	5	−	−	NOUN
cana-5310	65	6	1	1	NUM
cana-5310	65	7	)	)	PUNCT
cana-5310	65	8	.	.	PUNCT
cana-5310	66	1	for	for	ADP
cana-5310	66	2	elliptic	elliptic	ADJ
cana-5310	66	3	curve	curve	NOUN
cana-5310	66	4	cryptography	cryptography	NOUN
cana-5310	66	5	(	(	PUNCT
cana-5310	66	6	ecc	ecc	PROPN
cana-5310	66	7	)	)	PUNCT
cana-5310	66	8	,	,	PUNCT
cana-5310	66	9	the	the	DET
cana-5310	66	10	security	security	NOUN
cana-5310	66	11	relies	rely	VERB
cana-5310	66	12	on	on	ADP
cana-5310	66	13	the	the	DET
cana-5310	66	14	difficulty	difficulty	NOUN
cana-5310	66	15	of	of	ADP
cana-5310	66	16	the	the	DET
cana-5310	66	17	elliptic	elliptic	ADJ
cana-5310	66	18	curve	curve	NOUN
cana-5310	66	19	discrete	discrete	ADJ
cana-5310	66	20	logarithm	logarithm	NOUN
cana-5310	66	21	problem	problem	NOUN
cana-5310	66	22	(	(	PUNCT
cana-5310	66	23	ecdlp	ecdlp	NOUN
cana-5310	66	24	)	)	PUNCT
cana-5310	66	25	.	.	PUNCT
cana-5310	67	1	the	the	DET
cana-5310	67	2	point	point	NOUN
cana-5310	67	3	multiplication	multiplication	NOUN
cana-5310	67	4	operation	operation	NOUN
cana-5310	67	5	follows	follow	VERB
cana-5310	67	6	the	the	DET
cana-5310	67	7	definition	definition	NOUN
cana-5310	67	8	on	on	ADP
cana-5310	67	9	elliptic	elliptic	ADJ
cana-5310	67	10	curves	curve	NOUN
cana-5310	67	11	which	which	PRON
cana-5310	67	12	states	state	VERB
cana-5310	67	13	:	:	PUNCT
cana-5310	67	14	𝑃	𝑃	VERB
cana-5310	67	15	=	=	SYM
cana-5310	67	16	𝑘	𝑘	PRON
cana-5310	67	17	⋅	⋅	PROPN
cana-5310	67	18	𝐺	𝐺	PROPN
cana-5310	67	19	where	where	SCONJ
cana-5310	67	20	𝑃	𝑃	NOUN
cana-5310	67	21	is	be	AUX
cana-5310	67	22	a	a	DET
cana-5310	67	23	point	point	NOUN
cana-5310	67	24	on	on	ADP
cana-5310	67	25	the	the	DET
cana-5310	67	26	curve	curve	NOUN
cana-5310	67	27	,	,	PUNCT
cana-5310	67	28	𝑘	𝑘	PRON
cana-5310	67	29	is	be	AUX
cana-5310	67	30	a	a	DET
cana-5310	67	31	scalar	scalar	ADJ
cana-5310	67	32	,	,	PUNCT
cana-5310	67	33	and	and	CCONJ
cana-5310	67	34	𝐺	𝐺	PROPN
cana-5310	67	35	is	be	AUX
cana-5310	67	36	the	the	DET
cana-5310	67	37	base	base	ADJ
cana-5310	67	38	point	point	NOUN
cana-5310	67	39	on	on	ADP
cana-5310	67	40	the	the	DET
cana-5310	67	41	elliptic	elliptic	ADJ
cana-5310	67	42	curve	curve	NOUN
cana-5310	67	43	.	.	PUNCT
cana-5310	68	1	the	the	DET
cana-5310	68	2	elliptic	elliptic	ADJ
cana-5310	68	3	curve	curve	NOUN
cana-5310	68	4	equation	equation	NOUN
cana-5310	68	5	itself	itself	PRON
cana-5310	68	6	is	be	AUX
cana-5310	68	7	given	give	VERB
cana-5310	68	8	by	by	ADP
cana-5310	68	9	:	:	PUNCT
cana-5310	68	10	𝑦2	𝑦2	PROPN
cana-5310	68	11	=	=	SYM
cana-5310	68	12	𝑥3	𝑥3	PROPN
cana-5310	68	13	+	+	CCONJ
cana-5310	68	14	𝑎𝑥	𝑎𝑥	X
cana-5310	68	15	+	+	NUM
cana-5310	69	1	𝑏	𝑏	NOUN
cana-5310	69	2	mod𝑝	mod𝑝	NOUN
cana-5310	69	3	where	where	SCONJ
cana-5310	69	4	𝑎	𝑎	NOUN
cana-5310	69	5	and	and	CCONJ
cana-5310	69	6	𝑏	𝑏	PROPN
cana-5310	69	7	are	be	AUX
cana-5310	69	8	constants	constant	NOUN
cana-5310	69	9	,	,	PUNCT
cana-5310	69	10	and	and	CCONJ
cana-5310	69	11	𝑝	𝑝	NOUN
cana-5310	69	12	is	be	AUX
cana-5310	69	13	a	a	DET
cana-5310	69	14	prime	prime	ADJ
cana-5310	69	15	number	number	NOUN
cana-5310	69	16	defining	define	VERB
cana-5310	69	17	the	the	DET
cana-5310	69	18	field	field	NOUN
cana-5310	69	19	over	over	ADP
cana-5310	69	20	which	which	PRON
cana-5310	69	21	the	the	DET
cana-5310	69	22	curve	curve	NOUN
cana-5310	69	23	is	be	AUX
cana-5310	69	24	defined	define	VERB
cana-5310	69	25	.	.	PUNCT
cana-5310	70	1	communications	communication	NOUN
cana-5310	70	2	on	on	ADP
cana-5310	70	3	applied	apply	VERB
cana-5310	70	4	nonlinear	nonlinear	ADJ
cana-5310	70	5	analysis	analysis	NOUN
cana-5310	70	6	issn	issn	NOUN
cana-5310	70	7	:	:	PUNCT
cana-5310	70	8	1074	1074	NUM
cana-5310	70	9	-	-	PUNCT
cana-5310	70	10	133x	133x	NUM
cana-5310	70	11	vol	vol	NOUN
cana-5310	70	12	31	31	NUM
cana-5310	70	13	no	no	NOUN
cana-5310	70	14	.	.	PUNCT
cana-5310	71	1	5s	5s	NUM
cana-5310	71	2	(	(	PUNCT
cana-5310	71	3	2024	2024	NUM
cana-5310	71	4	)	)	PUNCT
cana-5310	71	5	585	585	NUM
cana-5310	71	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5310	71	7	in	in	ADP
cana-5310	71	8	lattice	lattice	NOUN
cana-5310	71	9	-	-	PUNCT
cana-5310	71	10	based	base	VERB
cana-5310	71	11	cryptography	cryptography	NOUN
cana-5310	71	12	,	,	PUNCT
cana-5310	71	13	the	the	DET
cana-5310	71	14	shortest	short	ADJ
cana-5310	71	15	vector	vector	NOUN
cana-5310	71	16	problem	problem	NOUN
cana-5310	71	17	(	(	PUNCT
cana-5310	71	18	svp	svp	NOUN
cana-5310	71	19	)	)	PUNCT
cana-5310	71	20	and	and	CCONJ
cana-5310	71	21	learning	learn	VERB
cana-5310	71	22	with	with	ADP
cana-5310	71	23	errors	error	NOUN
cana-5310	71	24	(	(	PUNCT
cana-5310	71	25	lwe	lwe	ADV
cana-5310	71	26	)	)	PUNCT
cana-5310	71	27	play	play	VERB
cana-5310	71	28	crucial	crucial	ADJ
cana-5310	71	29	roles	role	NOUN
cana-5310	71	30	.	.	PUNCT
cana-5310	72	1	svp	svp	PROPN
cana-5310	72	2	aims	aim	VERB
cana-5310	72	3	to	to	PART
cana-5310	72	4	detect	detect	VERB
cana-5310	72	5	the	the	DET
cana-5310	72	6	simplest	simple	ADJ
cana-5310	72	7	non	non	ADJ
cana-5310	72	8	-	-	ADJ
cana-5310	72	9	zero	zero	NUM
cana-5310	72	10	lattice	lattice	NOUN
cana-5310	72	11	vector	vector	NOUN
cana-5310	72	12	by	by	ADP
cana-5310	72	13	placing	place	VERB
cana-5310	72	14	v∈l	v∈l	NOUN
cana-5310	72	15	:	:	PUNCT
cana-5310	72	16	𝐯	𝐯	X
cana-5310	72	17	=	=	SYM
cana-5310	72	18	min{‖𝐯‖	min{‖𝐯‖	ADJ
cana-5310	72	19	:	:	PUNCT
cana-5310	72	20	𝐯	𝐯	X
cana-5310	72	21	≠	≠	PROPN
cana-5310	72	22	𝟎	𝟎	PROPN
cana-5310	72	23	,	,	PUNCT
cana-5310	72	24	𝐯	𝐯	PRON
cana-5310	72	25	∈	∈	PROPN
cana-5310	72	26	𝐿	𝐿	PROPN
cana-5310	72	27	}	}	PUNCT
cana-5310	72	28	the	the	DET
cana-5310	72	29	learning	learning	NOUN
cana-5310	72	30	with	with	ADP
cana-5310	72	31	errors	error	NOUN
cana-5310	72	32	problem	problem	NOUN
cana-5310	72	33	involves	involve	VERB
cana-5310	72	34	solving	solve	VERB
cana-5310	72	35	a	a	DET
cana-5310	72	36	system	system	NOUN
cana-5310	72	37	of	of	ADP
cana-5310	72	38	linear	linear	ADJ
cana-5310	72	39	equations	equation	NOUN
cana-5310	72	40	with	with	ADP
cana-5310	72	41	errors	error	NOUN
cana-5310	72	42	.	.	PUNCT
cana-5310	73	1	the	the	DET
cana-5310	73	2	lwe	lwe	PROPN
cana-5310	73	3	problem	problem	NOUN
cana-5310	73	4	is	be	AUX
cana-5310	73	5	represented	represent	VERB
cana-5310	73	6	as	as	ADP
cana-5310	73	7	:	:	PUNCT
cana-5310	73	8	𝐴	𝐴	PROPN
cana-5310	73	9	⋅	⋅	PROPN
cana-5310	73	10	𝑠	𝑠	PROPN
cana-5310	73	11	+	+	CCONJ
cana-5310	73	12	𝑒	𝑒	PROPN
cana-5310	73	13	≡	≡	PROPN
cana-5310	73	14	𝑏	𝑏	PROPN
cana-5310	73	15	mod𝑞	mod𝑞	NOUN
cana-5310	73	16	where	where	SCONJ
cana-5310	73	17	𝐴	𝐴	PROPN
cana-5310	73	18	is	be	AUX
cana-5310	73	19	a	a	DET
cana-5310	73	20	matrix	matrix	NOUN
cana-5310	73	21	,	,	PUNCT
cana-5310	73	22	𝑠	𝑠	PROPN
cana-5310	73	23	is	be	AUX
cana-5310	73	24	the	the	DET
cana-5310	73	25	secret	secret	ADJ
cana-5310	73	26	vector	vector	NOUN
cana-5310	73	27	,	,	PUNCT
cana-5310	73	28	𝑒	𝑒	PROPN
cana-5310	73	29	is	be	AUX
cana-5310	73	30	the	the	DET
cana-5310	73	31	error	error	NOUN
cana-5310	73	32	vector	vector	NOUN
cana-5310	73	33	,	,	PUNCT
cana-5310	73	34	and	and	CCONJ
cana-5310	73	35	𝑏	𝑏	PROPN
cana-5310	73	36	is	be	AUX
cana-5310	73	37	the	the	DET
cana-5310	73	38	result	result	NOUN
cana-5310	73	39	vector	vector	NOUN
cana-5310	73	40	.	.	PUNCT
cana-5310	74	1	the	the	DET
cana-5310	74	2	decryption	decryption	NOUN
cana-5310	74	3	process	process	NOUN
cana-5310	74	4	for	for	ADP
cana-5310	74	5	lattice	lattice	NOUN
cana-5310	74	6	-	-	PUNCT
cana-5310	74	7	based	base	VERB
cana-5310	74	8	cryptography	cryptography	NOUN
cana-5310	74	9	can	can	AUX
cana-5310	74	10	be	be	AUX
cana-5310	74	11	defined	define	VERB
cana-5310	74	12	as	as	SCONJ
cana-5310	74	13	follows	follow	VERB
cana-5310	74	14	:	:	PUNCT
cana-5310	74	15	decryption(𝑐	decryption(𝑐	X
cana-5310	74	16	)	)	PUNCT
cana-5310	74	17	=	=	SYM
cana-5310	75	1	round(𝐴−1	round(𝐴−1	PUNCT
cana-5310	75	2	⋅	⋅	X
cana-5310	75	3	(	(	PUNCT
cana-5310	75	4	𝑐	𝑐	PROPN
cana-5310	75	5	−	−	PROPN
cana-5310	75	6	𝑏)mod𝑞	𝑏)mod𝑞	PROPN
cana-5310	75	7	)	)	PUNCT
cana-5310	75	8	where	where	SCONJ
cana-5310	75	9	𝐴−1	𝐴−1	NOUN
cana-5310	75	10	is	be	AUX
cana-5310	75	11	the	the	DET
cana-5310	75	12	inverse	inverse	NOUN
cana-5310	75	13	of	of	ADP
cana-5310	75	14	the	the	DET
cana-5310	75	15	matrix	matrix	NOUN
cana-5310	75	16	𝐴	𝐴	PROPN
cana-5310	75	17	,	,	PUNCT
cana-5310	75	18	and	and	CCONJ
cana-5310	75	19	𝑐	𝑐	PROPN
cana-5310	75	20	is	be	AUX
cana-5310	75	21	the	the	DET
cana-5310	75	22	ciphertext	ciphertext	NOUN
cana-5310	75	23	.	.	PUNCT
cana-5310	76	1	post	post	ADJ
cana-5310	76	2	-	-	ADJ
cana-5310	76	3	quantum	quantum	ADJ
cana-5310	76	4	cryptographic	cryptographic	ADJ
cana-5310	76	5	schemes	scheme	NOUN
cana-5310	76	6	need	need	VERB
cana-5310	76	7	to	to	PART
cana-5310	76	8	create	create	VERB
cana-5310	76	9	algorithms	algorithm	NOUN
cana-5310	76	10	which	which	PRON
cana-5310	76	11	guarantee	guarantee	VERB
cana-5310	76	12	security	security	NOUN
cana-5310	76	13	in	in	ADP
cana-5310	76	14	situations	situation	NOUN
cana-5310	76	15	where	where	SCONJ
cana-5310	76	16	quantum	quantum	NOUN
cana-5310	76	17	computing	computing	NOUN
cana-5310	76	18	functions	function	NOUN
cana-5310	76	19	.	.	PUNCT
cana-5310	77	1	the	the	DET
cana-5310	77	2	main	main	ADJ
cana-5310	77	3	principle	principle	NOUN
cana-5310	77	4	involves	involve	VERB
cana-5310	77	5	lattice	lattice	NOUN
cana-5310	77	6	problemsolving	problemsolve	VERB
cana-5310	77	7	complexity	complexity	NOUN
cana-5310	77	8	because	because	SCONJ
cana-5310	77	9	these	these	DET
cana-5310	77	10	problems	problem	NOUN
cana-5310	77	11	retain	retain	VERB
cana-5310	77	12	quantum	quantum	ADJ
cana-5310	77	13	attack	attack	NOUN
cana-5310	77	14	resistance	resistance	NOUN
cana-5310	78	1	[	[	X
cana-5310	78	2	9	9	NUM
cana-5310	78	3	]	]	PUNCT
cana-5310	78	4	.	.	PUNCT
cana-5310	79	1	the	the	DET
cana-5310	79	2	ntru	ntru	PROPN
cana-5310	79	3	(	(	PUNCT
cana-5310	79	4	n	n	CCONJ
cana-5310	79	5	-	-	PUNCT
cana-5310	79	6	th	th	VERB
cana-5310	79	7	degree	degree	NOUN
cana-5310	79	8	truncated	truncate	VERB
cana-5310	79	9	polynomial	polynomial	ADJ
cana-5310	79	10	)	)	PUNCT
cana-5310	79	11	encryption	encryption	NOUN
cana-5310	79	12	scheme	scheme	NOUN
cana-5310	79	13	serves	serve	VERB
cana-5310	79	14	as	as	ADP
cana-5310	79	15	an	an	DET
cana-5310	79	16	algorithm	algorithm	NOUN
cana-5310	79	17	that	that	PRON
cana-5310	79	18	performs	perform	VERB
cana-5310	79	19	encryption	encryption	NOUN
cana-5310	79	20	through	through	ADP
cana-5310	79	21	polynomials	polynomial	NOUN
cana-5310	79	22	and	and	CCONJ
cana-5310	79	23	modular	modular	ADJ
cana-5310	79	24	arithmetic	arithmetic	ADJ
cana-5310	79	25	methods	method	NOUN
cana-5310	79	26	.	.	PUNCT
cana-5310	80	1	the	the	DET
cana-5310	80	2	function	function	NOUN
cana-5310	80	3	which	which	PRON
cana-5310	80	4	performs	perform	VERB
cana-5310	80	5	encryption	encryption	NOUN
cana-5310	80	6	follows	follow	VERB
cana-5310	80	7	this	this	DET
cana-5310	80	8	formula	formula	NOUN
cana-5310	80	9	:	:	PUNCT
cana-5310	80	10	𝐸(𝑓	𝐸(𝑓	X
cana-5310	80	11	)	)	PUNCT
cana-5310	80	12	=	=	PUNCT
cana-5310	81	1	𝑓	𝑓	DET
cana-5310	81	2	⋅	⋅	X
cana-5310	81	3	ℎ	ℎ	PROPN
cana-5310	81	4	mod𝑞	mod𝑞	VERB
cana-5310	81	5	where	where	SCONJ
cana-5310	81	6	𝑓	𝑓	PROPN
cana-5310	81	7	is	be	AUX
cana-5310	81	8	the	the	DET
cana-5310	81	9	message	message	NOUN
cana-5310	81	10	polynomial	polynomial	ADJ
cana-5310	81	11	,	,	PUNCT
cana-5310	81	12	ℎ	ℎ	PROPN
cana-5310	81	13	is	be	AUX
cana-5310	81	14	the	the	DET
cana-5310	81	15	public	public	ADJ
cana-5310	81	16	key	key	ADJ
cana-5310	81	17	polynomial	polynomial	NOUN
cana-5310	81	18	,	,	PUNCT
cana-5310	81	19	and	and	CCONJ
cana-5310	81	20	𝑞	𝑞	PROPN
cana-5310	81	21	is	be	AUX
cana-5310	81	22	a	a	DET
cana-5310	81	23	modulus	modulus	NOUN
cana-5310	81	24	.	.	PUNCT
cana-5310	82	1	the	the	DET
cana-5310	82	2	decryption	decryption	NOUN
cana-5310	82	3	function	function	NOUN
cana-5310	82	4	for	for	ADP
cana-5310	82	5	ntru	ntru	NOUN
cana-5310	82	6	is	be	AUX
cana-5310	82	7	:	:	PUNCT
cana-5310	82	8	𝐷(𝑐	𝐷(𝑐	ADJ
cana-5310	82	9	)	)	PUNCT
cana-5310	82	10	=	=	PUNCT
cana-5310	83	1	round(𝑓	round(𝑓	X
cana-5310	83	2	⋅	⋅	X
cana-5310	83	3	ℎ−1mod𝑞	ℎ−1mod𝑞	NOUN
cana-5310	83	4	)	)	PUNCT
cana-5310	83	5	where	where	SCONJ
cana-5310	83	6	ℎ−1	ℎ−1	PROPN
cana-5310	83	7	is	be	AUX
cana-5310	83	8	the	the	DET
cana-5310	83	9	modular	modular	ADJ
cana-5310	83	10	inverse	inverse	NOUN
cana-5310	83	11	of	of	ADP
cana-5310	83	12	ℎ.	ℎ.	ADJ
cana-5310	83	13	a.	a.	NOUN
cana-5310	83	14	flowchart	flowchart	NOUN
cana-5310	83	15	the	the	DET
cana-5310	83	16	methodology	methodology	NOUN
cana-5310	83	17	outlined	outline	VERB
cana-5310	83	18	in	in	ADP
cana-5310	83	19	this	this	DET
cana-5310	83	20	paper	paper	NOUN
cana-5310	83	21	involves	involve	VERB
cana-5310	83	22	a	a	DET
cana-5310	83	23	structured	structured	ADJ
cana-5310	83	24	approach	approach	NOUN
cana-5310	83	25	that	that	PRON
cana-5310	83	26	begins	begin	VERB
cana-5310	83	27	with	with	ADP
cana-5310	83	28	the	the	DET
cana-5310	83	29	selection	selection	NOUN
cana-5310	83	30	of	of	ADP
cana-5310	83	31	an	an	DET
cana-5310	83	32	appropriate	appropriate	ADJ
cana-5310	83	33	cryptographic	cryptographic	ADJ
cana-5310	83	34	system	system	NOUN
cana-5310	83	35	,	,	PUNCT
cana-5310	83	36	followed	follow	VERB
cana-5310	83	37	by	by	ADP
cana-5310	83	38	the	the	DET
cana-5310	83	39	implementation	implementation	NOUN
cana-5310	83	40	of	of	ADP
cana-5310	83	41	the	the	DET
cana-5310	83	42	selected	select	VERB
cana-5310	83	43	number	number	NOUN
cana-5310	83	44	-	-	PUNCT
cana-5310	83	45	theoretic	theoretic	NOUN
cana-5310	83	46	problem	problem	NOUN
cana-5310	83	47	.	.	PUNCT
cana-5310	84	1	the	the	DET
cana-5310	84	2	figure	figure	NOUN
cana-5310	84	3	below	below	ADV
cana-5310	84	4	represents	represent	VERB
cana-5310	84	5	the	the	DET
cana-5310	84	6	flowchart	flowchart	NOUN
cana-5310	84	7	of	of	ADP
cana-5310	84	8	the	the	DET
cana-5310	84	9	proposed	propose	VERB
cana-5310	84	10	methodology	methodology	NOUN
cana-5310	84	11	,	,	PUNCT
cana-5310	84	12	highlighting	highlight	VERB
cana-5310	84	13	the	the	DET
cana-5310	84	14	key	key	ADJ
cana-5310	84	15	steps	step	NOUN
cana-5310	84	16	:	:	PUNCT
cana-5310	84	17	communications	communication	NOUN
cana-5310	84	18	on	on	ADP
cana-5310	84	19	applied	apply	VERB
cana-5310	84	20	nonlinear	nonlinear	ADJ
cana-5310	84	21	analysis	analysis	NOUN
cana-5310	84	22	issn	issn	NOUN
cana-5310	84	23	:	:	PUNCT
cana-5310	84	24	1074	1074	NUM
cana-5310	84	25	-	-	PUNCT
cana-5310	84	26	133x	133x	NUM
cana-5310	84	27	vol	vol	NOUN
cana-5310	84	28	31	31	NUM
cana-5310	84	29	no	no	NOUN
cana-5310	84	30	.	.	PUNCT
cana-5310	85	1	5s	5s	NUM
cana-5310	85	2	(	(	PUNCT
cana-5310	85	3	2024	2024	NUM
cana-5310	85	4	)	)	PUNCT
cana-5310	85	5	586	586	NUM
cana-5310	85	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5310	85	7	figure	figure	NOUN
cana-5310	85	8	1	1	NUM
cana-5310	85	9	:	:	PUNCT
cana-5310	85	10	workflow	workflow	NOUN
cana-5310	85	11	of	of	ADP
cana-5310	85	12	number	number	NOUN
cana-5310	85	13	theory	theory	NOUN
cana-5310	85	14	-	-	PUNCT
cana-5310	85	15	based	base	VERB
cana-5310	85	16	cryptographic	cryptographic	ADJ
cana-5310	85	17	scheme	scheme	NOUN
cana-5310	85	18	implementation	implementation	NOUN
cana-5310	85	19	b.	b.	PROPN
cana-5310	85	20	post	post	ADJ
cana-5310	85	21	-	-	ADJ
cana-5310	85	22	quantum	quantum	ADJ
cana-5310	85	23	cryptography	cryptography	NOUN
cana-5310	85	24	and	and	CCONJ
cana-5310	85	25	novel	novel	ADJ
cana-5310	85	26	protocols	protocol	NOUN
cana-5310	85	27	the	the	DET
cana-5310	85	28	development	development	NOUN
cana-5310	85	29	of	of	ADP
cana-5310	85	30	post	post	ADJ
cana-5310	85	31	-	-	ADJ
cana-5310	85	32	quantum	quantum	ADJ
cana-5310	85	33	cryptographic	cryptographic	ADJ
cana-5310	85	34	algorithms	algorithms	NOUN
cana-5310	85	35	depends	depend	VERB
cana-5310	85	36	on	on	ADP
cana-5310	85	37	mathematical	mathematical	ADJ
cana-5310	85	38	problems	problem	NOUN
cana-5310	85	39	that	that	SCONJ
cana-5310	85	40	quantum	quantum	NOUN
cana-5310	85	41	attacks	attack	NOUN
cana-5310	85	42	can	can	AUX
cana-5310	85	43	not	not	PART
cana-5310	85	44	solve	solve	VERB
cana-5310	85	45	efficiently	efficiently	ADV
cana-5310	85	46	to	to	PART
cana-5310	85	47	produce	produce	VERB
cana-5310	85	48	solutions	solution	NOUN
cana-5310	85	49	that	that	PRON
cana-5310	85	50	protect	protect	VERB
cana-5310	85	51	against	against	ADP
cana-5310	85	52	quantum	quantum	NOUN
cana-5310	85	53	attacks	attack	NOUN
cana-5310	85	54	.	.	PUNCT
cana-5310	86	1	lattice	lattice	NOUN
cana-5310	86	2	-	-	PUNCT
cana-5310	86	3	based	base	VERB
cana-5310	86	4	cryptography	cryptography	NOUN
cana-5310	86	5	uses	use	VERB
cana-5310	86	6	shortest	short	ADJ
cana-5310	86	7	vector	vector	NOUN
cana-5310	86	8	problem	problem	NOUN
cana-5310	86	9	(	(	PUNCT
cana-5310	86	10	svp	svp	NOUN
cana-5310	86	11	)	)	PUNCT
cana-5310	86	12	and	and	CCONJ
cana-5310	86	13	learning	learn	VERB
cana-5310	86	14	with	with	ADP
cana-5310	86	15	errors	error	NOUN
cana-5310	86	16	(	(	PUNCT
cana-5310	86	17	lwe	lwe	PROPN
cana-5310	86	18	)	)	PUNCT
cana-5310	86	19	difficulties	difficulty	NOUN
cana-5310	86	20	to	to	PART
cana-5310	86	21	achieve	achieve	VERB
cana-5310	86	22	its	its	PRON
cana-5310	86	23	security	security	NOUN
cana-5310	86	24	strength	strength	NOUN
cana-5310	86	25	and	and	CCONJ
cana-5310	86	26	quantum	quantum	NOUN
cana-5310	86	27	computers	computer	NOUN
cana-5310	86	28	find	find	VERB
cana-5310	86	29	them	they	PRON
cana-5310	86	30	resistant	resistant	ADJ
cana-5310	86	31	to	to	ADP
cana-5310	86	32	solution	solution	NOUN
cana-5310	86	33	.	.	PUNCT
cana-5310	87	1	the	the	DET
cana-5310	87	2	encryption	encryption	NOUN
cana-5310	87	3	method	method	NOUN
cana-5310	87	4	powered	power	VERB
cana-5310	87	5	by	by	ADP
cana-5310	87	6	lattice	lattice	NOUN
cana-5310	87	7	operates	operate	NOUN
cana-5310	87	8	on	on	ADP
cana-5310	87	9	polynomial	polynomial	ADJ
cana-5310	87	10	rings	ring	NOUN
cana-5310	87	11	together	together	ADV
cana-5310	87	12	with	with	ADP
cana-5310	87	13	matrix	matrix	NOUN
cana-5310	87	14	operation	operation	NOUN
cana-5310	87	15	structures	structure	NOUN
cana-5310	87	16	based	base	VERB
cana-5310	87	17	on	on	ADP
cana-5310	87	18	modular	modular	ADJ
cana-5310	87	19	arithmetic	arithmetic	ADJ
cana-5310	87	20	to	to	PART
cana-5310	87	21	complete	complete	VERB
cana-5310	87	22	encryption	encryption	NOUN
cana-5310	87	23	and	and	CCONJ
cana-5310	87	24	decryption	decryption	NOUN
cana-5310	87	25	processing	processing	NOUN
cana-5310	87	26	.	.	PUNCT
cana-5310	88	1	modularity	modularity	NOUN
cana-5310	88	2	provides	provide	VERB
cana-5310	88	3	security	security	NOUN
cana-5310	88	4	to	to	PART
cana-5310	88	5	lattice	lattice	VERB
cana-5310	88	6	systems	system	NOUN
cana-5310	88	7	because	because	SCONJ
cana-5310	88	8	the	the	DET
cana-5310	88	9	lattice	lattice	NOUN
cana-5310	88	10	problems	problem	NOUN
cana-5310	88	11	maintain	maintain	VERB
cana-5310	88	12	solution	solution	NOUN
cana-5310	88	13	-	-	PUNCT
cana-5310	88	14	resistant	resistant	ADJ
cana-5310	88	15	characteristics	characteristic	NOUN
cana-5310	88	16	even	even	ADV
cana-5310	88	17	after	after	ADP
cana-5310	88	18	the	the	DET
cana-5310	88	19	projected	project	VERB
cana-5310	88	20	development	development	NOUN
cana-5310	88	21	of	of	ADP
cana-5310	88	22	quantum	quantum	NOUN
cana-5310	88	23	computing	computing	NOUN
cana-5310	88	24	technology	technology	NOUN
cana-5310	89	1	[	[	X
cana-5310	89	2	7	7	NUM
cana-5310	89	3	]	]	PUNCT
cana-5310	89	4	.	.	PUNCT
cana-5310	90	1	communications	communication	NOUN
cana-5310	90	2	on	on	ADP
cana-5310	90	3	applied	apply	VERB
cana-5310	90	4	nonlinear	nonlinear	ADJ
cana-5310	90	5	analysis	analysis	NOUN
cana-5310	90	6	issn	issn	NOUN
cana-5310	90	7	:	:	PUNCT
cana-5310	90	8	1074	1074	NUM
cana-5310	90	9	-	-	PUNCT
cana-5310	90	10	133x	133x	NUM
cana-5310	90	11	vol	vol	NOUN
cana-5310	90	12	31	31	NUM
cana-5310	90	13	no	no	NOUN
cana-5310	90	14	.	.	PUNCT
cana-5310	91	1	5s	5s	NUM
cana-5310	91	2	(	(	PUNCT
cana-5310	91	3	2024	2024	NUM
cana-5310	91	4	)	)	PUNCT
cana-5310	91	5	587	587	NUM
cana-5310	91	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5310	92	1	the	the	DET
cana-5310	92	2	aim	aim	NOUN
cana-5310	92	3	is	be	AUX
cana-5310	92	4	to	to	PART
cana-5310	92	5	create	create	VERB
cana-5310	92	6	security	security	NOUN
cana-5310	92	7	systems	system	NOUN
cana-5310	92	8	which	which	PRON
cana-5310	92	9	protect	protect	VERB
cana-5310	92	10	data	datum	NOUN
cana-5310	92	11	against	against	ADP
cana-5310	92	12	current	current	ADJ
cana-5310	92	13	classical	classical	ADJ
cana-5310	92	14	computing	computing	NOUN
cana-5310	92	15	and	and	CCONJ
cana-5310	92	16	all	all	DET
cana-5310	92	17	probable	probable	ADJ
cana-5310	92	18	future	future	ADJ
cana-5310	92	19	quantum	quantum	NOUN
cana-5310	92	20	computing	computing	NOUN
cana-5310	92	21	attacks	attack	NOUN
cana-5310	92	22	.	.	PUNCT
cana-5310	93	1	iv	iv	X
cana-5310	93	2	.	.	PROPN
cana-5310	93	3	result	result	PROPN
cana-5310	93	4	&	&	CCONJ
cana-5310	93	5	discussions	discussion	NOUN
cana-5310	93	6	experimental	experimental	ADJ
cana-5310	93	7	testing	testing	NOUN
cana-5310	93	8	of	of	ADP
cana-5310	93	9	the	the	DET
cana-5310	93	10	algorithms	algorithm	NOUN
cana-5310	93	11	includes	include	VERB
cana-5310	93	12	assessments	assessment	NOUN
cana-5310	93	13	for	for	ADP
cana-5310	93	14	both	both	DET
cana-5310	93	15	computational	computational	ADJ
cana-5310	93	16	power	power	NOUN
cana-5310	93	17	performances	performance	NOUN
cana-5310	93	18	along	along	ADP
cana-5310	93	19	with	with	ADP
cana-5310	93	20	security	security	NOUN
cana-5310	93	21	resistance	resistance	NOUN
cana-5310	93	22	and	and	CCONJ
cana-5310	93	23	system	system	NOUN
cana-5310	93	24	scalability	scalability	NOUN
cana-5310	93	25	measures	measure	NOUN
cana-5310	93	26	.	.	PUNCT
cana-5310	94	1	we	we	PRON
cana-5310	94	2	have	have	AUX
cana-5310	94	3	developed	develop	VERB
cana-5310	94	4	three	three	NUM
cana-5310	94	5	different	different	ADJ
cana-5310	94	6	cryptographic	cryptographic	ADJ
cana-5310	94	7	implementations	implementation	NOUN
cana-5310	94	8	including	include	VERB
cana-5310	94	9	rsa	rsa	PROPN
cana-5310	94	10	,	,	PUNCT
cana-5310	94	11	ecc	ecc	PROPN
cana-5310	94	12	,	,	PUNCT
cana-5310	94	13	and	and	CCONJ
cana-5310	94	14	latticebased	latticebased	ADJ
cana-5310	94	15	algorithms	algorithm	NOUN
cana-5310	94	16	where	where	SCONJ
cana-5310	94	17	ntru	ntru	PROPN
cana-5310	94	18	and	and	CCONJ
cana-5310	94	19	lwe	lwe	PROPN
cana-5310	94	20	serve	serve	VERB
cana-5310	94	21	as	as	ADP
cana-5310	94	22	post	post	ADJ
cana-5310	94	23	-	-	ADJ
cana-5310	94	24	quantum	quantum	ADJ
cana-5310	94	25	schemes	scheme	NOUN
cana-5310	94	26	.	.	PUNCT
cana-5310	95	1	the	the	DET
cana-5310	95	2	execution	execution	NOUN
cana-5310	95	3	results	result	NOUN
cana-5310	95	4	include	include	VERB
cana-5310	95	5	measurements	measurement	NOUN
cana-5310	95	6	of	of	ADP
cana-5310	95	7	encryption	encryption	NOUN
cana-5310	95	8	and	and	CCONJ
cana-5310	95	9	decryption	decryption	NOUN
cana-5310	95	10	times	time	NOUN
cana-5310	95	11	along	along	ADP
cana-5310	95	12	with	with	ADP
cana-5310	95	13	key	key	ADJ
cana-5310	95	14	dimension	dimension	NOUN
cana-5310	95	15	and	and	CCONJ
cana-5310	95	16	attack	attack	NOUN
cana-5310	95	17	resistance	resistance	NOUN
cana-5310	95	18	assessment	assessment	NOUN
cana-5310	95	19	for	for	ADP
cana-5310	95	20	classical	classical	ADJ
cana-5310	95	21	and	and	CCONJ
cana-5310	95	22	quantum	quantum	ADJ
cana-5310	95	23	methods	method	NOUN
cana-5310	95	24	[	[	X
cana-5310	95	25	8	8	NUM
cana-5310	95	26	]	]	PUNCT
cana-5310	95	27	.	.	PUNCT
cana-5310	96	1	the	the	DET
cana-5310	96	2	first	first	ADJ
cana-5310	96	3	step	step	NOUN
cana-5310	96	4	involved	involve	VERB
cana-5310	96	5	conducting	conduct	VERB
cana-5310	96	6	performance	performance	NOUN
cana-5310	96	7	tests	test	NOUN
cana-5310	96	8	among	among	ADP
cana-5310	96	9	rsa	rsa	PROPN
cana-5310	96	10	,	,	PUNCT
cana-5310	96	11	ecc	ecc	PROPN
cana-5310	96	12	and	and	CCONJ
cana-5310	96	13	lattice	lattice	NOUN
cana-5310	96	14	-	-	PUNCT
cana-5310	96	15	based	base	VERB
cana-5310	96	16	cryptography	cryptography	NOUN
cana-5310	96	17	.	.	PUNCT
cana-5310	97	1	this	this	DET
cana-5310	97	2	assessment	assessment	NOUN
cana-5310	97	3	looks	look	VERB
cana-5310	97	4	at	at	ADP
cana-5310	97	5	the	the	DET
cana-5310	97	6	time	time	NOUN
cana-5310	97	7	required	require	VERB
cana-5310	97	8	to	to	PART
cana-5310	97	9	encrypt	encrypt	VERB
cana-5310	97	10	and	and	CCONJ
cana-5310	97	11	decrypt	decrypt	VERB
cana-5310	97	12	keys	key	NOUN
cana-5310	97	13	that	that	SCONJ
cana-5310	97	14	range	range	NOUN
cana-5310	97	15	between	between	ADP
cana-5310	97	16	small	small	ADJ
cana-5310	97	17	512	512	NUM
cana-5310	97	18	bits	bit	NOUN
cana-5310	97	19	and	and	CCONJ
cana-5310	97	20	large	large	ADJ
cana-5310	97	21	4096	4096	NUM
cana-5310	97	22	bits	bit	NOUN
cana-5310	97	23	.	.	PUNCT
cana-5310	98	1	these	these	DET
cana-5310	98	2	cryptographic	cryptographic	ADJ
cana-5310	98	3	algorithms	algorithm	NOUN
cana-5310	98	4	received	receive	VERB
cana-5310	98	5	their	their	PRON
cana-5310	98	6	encryption	encryption	NOUN
cana-5310	98	7	time	time	NOUN
cana-5310	98	8	measurements	measurement	NOUN
cana-5310	98	9	through	through	ADP
cana-5310	98	10	testing	testing	NOUN
cana-5310	98	11	on	on	ADP
cana-5310	98	12	typical	typical	ADJ
cana-5310	98	13	computational	computational	ADJ
cana-5310	98	14	equipment	equipment	NOUN
cana-5310	98	15	.	.	PUNCT
cana-5310	99	1	the	the	DET
cana-5310	99	2	encryption	encryption	NOUN
cana-5310	99	3	duration	duration	NOUN
cana-5310	99	4	for	for	ADP
cana-5310	99	5	rsa	rsa	PROPN
cana-5310	99	6	along	along	ADP
cana-5310	99	7	with	with	ADP
cana-5310	99	8	ecc	ecc	PROPN
cana-5310	99	9	can	can	AUX
cana-5310	99	10	be	be	AUX
cana-5310	99	11	seen	see	VERB
cana-5310	99	12	in	in	ADP
cana-5310	99	13	figure	figure	NOUN
cana-5310	99	14	2	2	NUM
cana-5310	99	15	according	accord	VERB
cana-5310	99	16	to	to	ADP
cana-5310	99	17	key	key	ADJ
cana-5310	99	18	dimensions	dimension	NOUN
cana-5310	99	19	.	.	PUNCT
cana-5310	100	1	as	as	SCONJ
cana-5310	100	2	the	the	DET
cana-5310	100	3	cryptographic	cryptographic	ADJ
cana-5310	100	4	key	key	ADJ
cana-5310	100	5	length	length	NOUN
cana-5310	100	6	grows	grow	VERB
cana-5310	100	7	larger	large	ADJ
cana-5310	100	8	rsa	rsa	NOUN
cana-5310	100	9	encryption	encryption	NOUN
cana-5310	100	10	time	time	NOUN
cana-5310	100	11	rises	rise	VERB
cana-5310	100	12	exponentially	exponentially	ADV
cana-5310	100	13	yet	yet	CCONJ
cana-5310	100	14	ecc	ecc	PROPN
cana-5310	100	15	maintains	maintain	VERB
cana-5310	100	16	linear	linear	ADJ
cana-5310	100	17	encryption	encryption	NOUN
cana-5310	100	18	times	time	NOUN
cana-5310	100	19	which	which	PRON
cana-5310	100	20	demonstrates	demonstrate	VERB
cana-5310	100	21	superior	superior	ADJ
cana-5310	100	22	efficiency	efficiency	NOUN
cana-5310	100	23	at	at	ADP
cana-5310	100	24	high	high	ADJ
cana-5310	100	25	key	key	ADJ
cana-5310	100	26	lengths	length	NOUN
cana-5310	100	27	.	.	PUNCT
cana-5310	101	1	figure	figure	VERB
cana-5310	101	2	2	2	NUM
cana-5310	101	3	:	:	PUNCT
cana-5310	101	4	encryption	encryption	NOUN
cana-5310	101	5	time	time	NOUN
cana-5310	101	6	for	for	ADP
cana-5310	101	7	rsa	rsa	PROPN
cana-5310	101	8	and	and	CCONJ
cana-5310	101	9	ecc	ecc	PROPN
cana-5310	101	10	with	with	ADP
cana-5310	101	11	varying	vary	VERB
cana-5310	101	12	key	key	ADJ
cana-5310	101	13	sizes	size	NOUN
cana-5310	101	14	the	the	DET
cana-5310	101	15	provided	provide	VERB
cana-5310	101	16	data	datum	NOUN
cana-5310	101	17	demonstrates	demonstrate	VERB
cana-5310	101	18	that	that	SCONJ
cana-5310	101	19	ecc	ecc	PROPN
cana-5310	101	20	achieves	achieve	VERB
cana-5310	101	21	significantly	significantly	ADV
cana-5310	101	22	faster	fast	ADJ
cana-5310	101	23	key	key	ADJ
cana-5310	101	24	processing	processing	NOUN
cana-5310	101	25	than	than	ADP
cana-5310	101	26	rsa	rsa	PROPN
cana-5310	101	27	especially	especially	ADV
cana-5310	101	28	when	when	SCONJ
cana-5310	101	29	working	work	VERB
cana-5310	101	30	with	with	ADP
cana-5310	101	31	extensive	extensive	ADJ
cana-5310	101	32	key	key	ADJ
cana-5310	101	33	values	value	NOUN
cana-5310	101	34	.	.	PUNCT
cana-5310	102	1	the	the	DET
cana-5310	102	2	efficiency	efficiency	NOUN
cana-5310	102	3	of	of	ADP
cana-5310	102	4	ecc	ecc	PROPN
cana-5310	102	5	contributes	contribute	VERB
cana-5310	102	6	to	to	ADP
cana-5310	102	7	its	its	PRON
cana-5310	102	8	main	main	ADJ
cana-5310	102	9	strength	strength	NOUN
cana-5310	102	10	because	because	SCONJ
cana-5310	102	11	it	it	PRON
cana-5310	102	12	delivers	deliver	VERB
cana-5310	102	13	secure	secure	ADJ
cana-5310	102	14	cryptographic	cryptographic	ADJ
cana-5310	102	15	operations	operation	NOUN
cana-5310	102	16	through	through	ADP
cana-5310	102	17	smaller	small	ADJ
cana-5310	102	18	key	key	ADJ
cana-5310	102	19	sizes	size	NOUN
cana-5310	102	20	.	.	PUNCT
cana-5310	103	1	rsa	rsa	PROPN
cana-5310	103	2	maintains	maintain	VERB
cana-5310	103	3	strong	strong	ADJ
cana-5310	103	4	security	security	NOUN
cana-5310	103	5	but	but	CCONJ
cana-5310	103	6	needs	need	VERB
cana-5310	103	7	large	large	ADJ
cana-5310	103	8	key	key	ADJ
cana-5310	103	9	sizes	size	NOUN
cana-5310	103	10	which	which	PRON
cana-5310	103	11	causes	cause	VERB
cana-5310	103	12	system	system	NOUN
cana-5310	103	13	speed	speed	NOUN
cana-5310	103	14	to	to	PART
cana-5310	103	15	decrease	decrease	VERB
cana-5310	103	16	.	.	PUNCT
cana-5310	104	1	rsa	rsa	NOUN
cana-5310	104	2	encryption	encryption	NOUN
cana-5310	104	3	becomes	become	VERB
cana-5310	104	4	impractical	impractical	ADJ
cana-5310	104	5	for	for	ADP
cana-5310	104	6	modern	modern	ADJ
cana-5310	104	7	applications	application	NOUN
cana-5310	104	8	because	because	SCONJ
cana-5310	104	9	its	its	PRON
cana-5310	104	10	growing	grow	VERB
cana-5310	104	11	computational	computational	ADJ
cana-5310	104	12	complexity	complexity	NOUN
cana-5310	104	13	with	with	ADP
cana-5310	104	14	larger	large	ADJ
cana-5310	104	15	prime	prime	ADJ
cana-5310	104	16	numbers	number	NOUN
cana-5310	104	17	decreases	decrease	VERB
cana-5310	104	18	its	its	PRON
cana-5310	104	19	capability	capability	NOUN
cana-5310	104	20	to	to	PART
cana-5310	104	21	support	support	VERB
cana-5310	104	22	10	10	NUM
cana-5310	104	23	50	50	NUM
cana-5310	104	24	150	150	NUM
cana-5310	104	25	2	2	NUM
cana-5310	104	26	4	4	NUM
cana-5310	104	27	6	6	NUM
cana-5310	104	28	0	0	NUM
cana-5310	104	29	50	50	NUM
cana-5310	104	30	100	100	NUM
cana-5310	104	31	150	150	NUM
cana-5310	104	32	200	200	NUM
cana-5310	104	33	512	512	NUM
cana-5310	104	34	1024	1024	NUM
cana-5310	104	35	2048	2048	NUM
cana-5310	104	36	encryption	encryption	NOUN
cana-5310	104	37	time	time	NOUN
cana-5310	104	38	for	for	ADP
cana-5310	104	39	rsa	rsa	PROPN
cana-5310	104	40	and	and	CCONJ
cana-5310	104	41	ecc	ecc	PROPN
cana-5310	104	42	with	with	ADP
cana-5310	104	43	varying	vary	VERB
cana-5310	104	44	key	key	ADJ
cana-5310	104	45	sizes	size	NOUN
cana-5310	104	46	rsa	rsa	NOUN
cana-5310	104	47	encryption	encryption	NOUN
cana-5310	104	48	time	time	NOUN
cana-5310	104	49	(	(	PUNCT
cana-5310	104	50	ms	ms	PROPN
cana-5310	104	51	)	)	PUNCT
cana-5310	104	52	ecc	ecc	PROPN
cana-5310	104	53	encryption	encryption	NOUN
cana-5310	104	54	time	time	NOUN
cana-5310	104	55	(	(	PUNCT
cana-5310	104	56	ms	ms	NOUN
cana-5310	104	57	)	)	PUNCT
cana-5310	104	58	communications	communication	NOUN
cana-5310	104	59	on	on	ADP
cana-5310	104	60	applied	apply	VERB
cana-5310	104	61	nonlinear	nonlinear	ADJ
cana-5310	104	62	analysis	analysis	NOUN
cana-5310	104	63	issn	issn	NOUN
cana-5310	104	64	:	:	PUNCT
cana-5310	104	65	1074	1074	NUM
cana-5310	104	66	-	-	PUNCT
cana-5310	104	67	133x	133x	NUM
cana-5310	104	68	vol	vol	NOUN
cana-5310	104	69	31	31	NUM
cana-5310	104	70	no	no	NOUN
cana-5310	104	71	.	.	PUNCT
cana-5310	105	1	5s	5s	NUM
cana-5310	105	2	(	(	PUNCT
cana-5310	105	3	2024	2024	NUM
cana-5310	105	4	)	)	PUNCT
cana-5310	105	5	588	588	NUM
cana-5310	105	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5310	105	7	concurrent	concurrent	ADJ
cana-5310	105	8	speed	speed	NOUN
cana-5310	105	9	and	and	CCONJ
cana-5310	105	10	security	security	NOUN
cana-5310	105	11	requirements	requirement	NOUN
cana-5310	105	12	.	.	PUNCT
cana-5310	106	1	the	the	DET
cana-5310	106	2	efficiency	efficiency	NOUN
cana-5310	106	3	of	of	ADP
cana-5310	106	4	rsa	rsa	PROPN
cana-5310	106	5	is	be	AUX
cana-5310	106	6	essential	essential	ADJ
cana-5310	106	7	when	when	SCONJ
cana-5310	106	8	working	work	VERB
cana-5310	106	9	with	with	ADP
cana-5310	106	10	systems	system	NOUN
cana-5310	106	11	whose	whose	DET
cana-5310	106	12	computing	computing	NOUN
cana-5310	106	13	limitations	limitation	NOUN
cana-5310	106	14	must	must	AUX
cana-5310	106	15	be	be	AUX
cana-5310	106	16	taken	take	VERB
cana-5310	106	17	into	into	ADP
cana-5310	106	18	account	account	NOUN
cana-5310	106	19	.	.	PUNCT
cana-5310	107	1	we	we	PRON
cana-5310	107	2	proceeded	proceed	VERB
cana-5310	107	3	with	with	ADP
cana-5310	107	4	analysis	analysis	NOUN
cana-5310	107	5	of	of	ADP
cana-5310	107	6	lattice	lattice	NOUN
cana-5310	107	7	-	-	PUNCT
cana-5310	107	8	based	base	VERB
cana-5310	107	9	cryptography	cryptography	NOUN
cana-5310	107	10	next	next	ADV
cana-5310	107	11	.	.	PUNCT
cana-5310	108	1	we	we	PRON
cana-5310	108	2	studied	study	VERB
cana-5310	108	3	the	the	DET
cana-5310	108	4	encryption	encryption	NOUN
cana-5310	108	5	and	and	CCONJ
cana-5310	108	6	decryption	decryption	NOUN
cana-5310	108	7	durations	duration	NOUN
cana-5310	108	8	of	of	ADP
cana-5310	108	9	the	the	DET
cana-5310	108	10	ntru	ntru	ADJ
cana-5310	108	11	scheme	scheme	NOUN
cana-5310	108	12	because	because	SCONJ
cana-5310	108	13	it	it	PRON
cana-5310	108	14	processes	process	VERB
cana-5310	108	15	data	datum	NOUN
cana-5310	108	16	through	through	ADP
cana-5310	108	17	polynomial	polynomial	ADJ
cana-5310	108	18	rings	ring	NOUN
cana-5310	108	19	.	.	PUNCT
cana-5310	109	1	the	the	DET
cana-5310	109	2	encryption	encryption	NOUN
cana-5310	109	3	and	and	CCONJ
cana-5310	109	4	decryption	decryption	NOUN
cana-5310	109	5	analysis	analysis	NOUN
cana-5310	109	6	in	in	ADP
cana-5310	109	7	figure	figure	NOUN
cana-5310	109	8	3	3	NUM
cana-5310	109	9	proves	prove	VERB
cana-5310	109	10	that	that	SCONJ
cana-5310	109	11	ntru	ntru	PROPN
cana-5310	109	12	requires	require	VERB
cana-5310	109	13	less	less	ADJ
cana-5310	109	14	time	time	NOUN
cana-5310	109	15	compared	compare	VERB
cana-5310	109	16	to	to	ADP
cana-5310	109	17	rsa	rsa	PROPN
cana-5310	109	18	and	and	CCONJ
cana-5310	109	19	ecc	ecc	PROPN
cana-5310	109	20	when	when	SCONJ
cana-5310	109	21	measuring	measure	VERB
cana-5310	109	22	performance	performance	NOUN
cana-5310	109	23	of	of	ADP
cana-5310	109	24	lattice	lattice	NOUN
cana-5310	109	25	-	-	PUNCT
cana-5310	109	26	based	base	VERB
cana-5310	109	27	encryption	encryption	NOUN
cana-5310	109	28	methods	method	NOUN
cana-5310	109	29	.	.	PUNCT
cana-5310	110	1	the	the	DET
cana-5310	110	2	obtained	obtain	VERB
cana-5310	110	3	results	result	NOUN
cana-5310	110	4	demonstrate	demonstrate	VERB
cana-5310	110	5	that	that	SCONJ
cana-5310	110	6	ntru	ntru	PROPN
cana-5310	110	7	achieves	achieve	VERB
cana-5310	110	8	better	well	ADJ
cana-5310	110	9	performance	performance	NOUN
cana-5310	110	10	than	than	ADP
cana-5310	110	11	rsa	rsa	PROPN
cana-5310	110	12	and	and	CCONJ
cana-5310	110	13	ecc	ecc	PROPN
cana-5310	110	14	specifically	specifically	ADV
cana-5310	110	15	at	at	ADP
cana-5310	110	16	medium	medium	ADJ
cana-5310	110	17	to	to	ADP
cana-5310	110	18	large	large	ADJ
cana-5310	110	19	key	key	ADJ
cana-5310	110	20	dimensions	dimension	NOUN
cana-5310	110	21	when	when	SCONJ
cana-5310	110	22	the	the	DET
cana-5310	110	23	system	system	NOUN
cana-5310	110	24	handles	handle	VERB
cana-5310	110	25	high	high	ADJ
cana-5310	110	26	traffic	traffic	NOUN
cana-5310	110	27	volumes	volume	NOUN
cana-5310	110	28	or	or	CCONJ
cana-5310	110	29	processes	process	VERB
cana-5310	110	30	large	large	ADJ
cana-5310	110	31	datasets	dataset	NOUN
cana-5310	110	32	.	.	PUNCT
cana-5310	111	1	figure	figure	VERB
cana-5310	111	2	3	3	NUM
cana-5310	111	3	:	:	PUNCT
cana-5310	111	4	encryption	encryption	NOUN
cana-5310	111	5	and	and	CCONJ
cana-5310	111	6	decryption	decryption	NOUN
cana-5310	111	7	time	time	NOUN
cana-5310	111	8	for	for	ADP
cana-5310	111	9	ntru	ntru	PROPN
cana-5310	111	10	,	,	PUNCT
cana-5310	111	11	rsa	rsa	PROPN
cana-5310	111	12	,	,	PUNCT
cana-5310	111	13	and	and	CCONJ
cana-5310	111	14	ecc	ecc	PROPN
cana-5310	111	15	lattice	lattice	NOUN
cana-5310	111	16	-	-	PUNCT
cana-5310	111	17	based	base	VERB
cana-5310	111	18	cryptography	cryptography	NOUN
cana-5310	111	19	achieves	achieve	VERB
cana-5310	111	20	increased	increase	VERB
cana-5310	111	21	performance	performance	NOUN
cana-5310	111	22	because	because	SCONJ
cana-5310	111	23	its	its	PRON
cana-5310	111	24	operations	operation	NOUN
cana-5310	111	25	are	be	AUX
cana-5310	111	26	simple	simple	ADJ
cana-5310	111	27	polynomials	polynomial	NOUN
cana-5310	111	28	which	which	PRON
cana-5310	111	29	can	can	AUX
cana-5310	111	30	take	take	VERB
cana-5310	111	31	advantage	advantage	NOUN
cana-5310	111	32	of	of	ADP
cana-5310	111	33	parallel	parallel	ADJ
cana-5310	111	34	execution	execution	NOUN
cana-5310	111	35	within	within	ADP
cana-5310	111	36	such	such	ADJ
cana-5310	111	37	systems	system	NOUN
cana-5310	111	38	.	.	PUNCT
cana-5310	112	1	ntru	ntru	PROPN
cana-5310	112	2	alongside	alongside	ADP
cana-5310	112	3	other	other	ADJ
cana-5310	112	4	lattice	lattice	NOUN
cana-5310	112	5	-	-	PUNCT
cana-5310	112	6	based	base	VERB
cana-5310	112	7	schemes	scheme	NOUN
cana-5310	112	8	demonstrate	demonstrate	VERB
cana-5310	112	9	resistance	resistance	NOUN
cana-5310	112	10	against	against	ADP
cana-5310	112	11	quantum	quantum	NOUN
cana-5310	112	12	attacks	attack	NOUN
cana-5310	112	13	since	since	SCONJ
cana-5310	112	14	they	they	PRON
cana-5310	112	15	were	be	AUX
cana-5310	112	16	developed	develop	VERB
cana-5310	112	17	at	at	ADP
cana-5310	112	18	a	a	DET
cana-5310	112	19	time	time	NOUN
cana-5310	112	20	when	when	SCONJ
cana-5310	112	21	quantum	quantum	ADJ
cana-5310	112	22	computing	computing	NOUN
cana-5310	112	23	concerns	concern	NOUN
cana-5310	112	24	began	begin	VERB
cana-5310	112	25	to	to	PART
cana-5310	112	26	rise	rise	VERB
cana-5310	112	27	.	.	PUNCT
cana-5310	113	1	latticebased	latticebased	ADJ
cana-5310	113	2	encryption	encryption	NOUN
cana-5310	113	3	schemes	scheme	NOUN
cana-5310	113	4	preserve	preserve	VERB
cana-5310	113	5	their	their	PRON
cana-5310	113	6	security	security	NOUN
cana-5310	113	7	level	level	NOUN
cana-5310	113	8	because	because	SCONJ
cana-5310	113	9	quantum	quantum	ADJ
cana-5310	113	10	algorithms	algorithm	NOUN
cana-5310	113	11	do	do	AUX
cana-5310	113	12	not	not	PART
cana-5310	113	13	succeed	succeed	VERB
cana-5310	113	14	at	at	ADP
cana-5310	113	15	solving	solve	VERB
cana-5310	113	16	lattice	lattice	NOUN
cana-5310	113	17	problems	problem	NOUN
cana-5310	113	18	.	.	PUNCT
cana-5310	114	1	the	the	DET
cana-5310	114	2	research	research	NOUN
cana-5310	114	3	team	team	NOUN
cana-5310	114	4	executed	execute	VERB
cana-5310	114	5	a	a	DET
cana-5310	114	6	security	security	NOUN
cana-5310	114	7	evaluation	evaluation	NOUN
cana-5310	114	8	to	to	PART
cana-5310	114	9	compare	compare	VERB
cana-5310	114	10	rsa	rsa	PROPN
cana-5310	114	11	alongside	alongside	ADP
cana-5310	114	12	ecc	ecc	PROPN
cana-5310	114	13	together	together	ADV
cana-5310	114	14	with	with	ADP
cana-5310	114	15	lattice	lattice	NOUN
cana-5310	114	16	-	-	PUNCT
cana-5310	114	17	based	base	VERB
cana-5310	114	18	cryptography	cryptography	NOUN
cana-5310	114	19	regarding	regard	VERB
cana-5310	114	20	their	their	PRON
cana-5310	114	21	compatibility	compatibility	NOUN
cana-5310	114	22	with	with	ADP
cana-5310	114	23	quantum	quantum	NOUN
cana-5310	114	24	computing	computing	NOUN
cana-5310	114	25	.	.	PUNCT
cana-5310	115	1	large	large	ADJ
cana-5310	115	2	integer	integer	NOUN
cana-5310	115	3	factorization	factorization	NOUN
cana-5310	115	4	and	and	CCONJ
cana-5310	115	5	discrete	discrete	ADJ
cana-5310	115	6	logarithm	logarithm	NOUN
cana-5310	115	7	solution	solution	NOUN
cana-5310	115	8	problems	problem	NOUN
cana-5310	115	9	provide	provide	VERB
cana-5310	115	10	the	the	DET
cana-5310	115	11	basis	basis	NOUN
cana-5310	115	12	for	for	ADP
cana-5310	115	13	protecting	protect	VERB
cana-5310	115	14	rsa	rsa	PROPN
cana-5310	115	15	and	and	CCONJ
cana-5310	115	16	ecc	ecc	PROPN
cana-5310	115	17	.	.	PROPN
cana-5310	115	18	shor	shor	PROPN
cana-5310	115	19	’s	’s	PART
cana-5310	115	20	algorithm	algorithm	NOUN
cana-5310	115	21	allows	allow	VERB
cana-5310	115	22	quantum	quantum	ADJ
cana-5310	115	23	attack	attack	NOUN
cana-5310	115	24	methods	method	NOUN
cana-5310	115	25	to	to	PART
cana-5310	115	26	solve	solve	VERB
cana-5310	115	27	both	both	DET
cana-5310	115	28	problems	problem	NOUN
cana-5310	115	29	in	in	ADP
cana-5310	115	30	polynomial	polynomial	ADJ
cana-5310	115	31	time	time	NOUN
cana-5310	115	32	since	since	SCONJ
cana-5310	115	33	these	these	DET
cana-5310	115	34	problems	problem	NOUN
cana-5310	115	35	remain	remain	VERB
cana-5310	115	36	difficult	difficult	ADJ
cana-5310	115	37	to	to	PART
cana-5310	115	38	handle	handle	VERB
cana-5310	115	39	.	.	PUNCT
cana-5310	116	1	current	current	ADJ
cana-5310	116	2	quantum	quantum	ADJ
cana-5310	116	3	algorithms	algorithm	NOUN
cana-5310	116	4	demonstrate	demonstrate	VERB
cana-5310	116	5	no	no	DET
cana-5310	116	6	ability	ability	NOUN
cana-5310	116	7	to	to	PART
cana-5310	116	8	solve	solve	VERB
cana-5310	116	9	the	the	DET
cana-5310	116	10	shortest	short	ADJ
cana-5310	116	11	vector	vector	NOUN
cana-5310	116	12	problem	problem	NOUN
cana-5310	116	13	(	(	PUNCT
cana-5310	116	14	svp	svp	NOUN
cana-5310	116	15	)	)	PUNCT
cana-5310	116	16	and	and	CCONJ
cana-5310	116	17	learning	learn	VERB
cana-5310	116	18	with	with	ADP
cana-5310	116	19	errors	error	NOUN
cana-5310	116	20	(	(	PUNCT
cana-5310	116	21	lwe	lwe	PROPN
cana-5310	116	22	)	)	PUNCT
cana-5310	116	23	because	because	SCONJ
cana-5310	116	24	these	these	DET
cana-5310	116	25	lattice	lattice	NOUN
cana-5310	116	26	problems	problem	NOUN
cana-5310	116	27	show	show	VERB
cana-5310	116	28	resistance	resistance	NOUN
cana-5310	116	29	against	against	ADP
cana-5310	116	30	quantum	quantum	ADJ
cana-5310	116	31	computer	computer	NOUN
cana-5310	116	32	methods	method	NOUN
cana-5310	116	33	.	.	PUNCT
cana-5310	117	1	the	the	DET
cana-5310	117	2	following	follow	VERB
cana-5310	117	3	table	table	NOUN
cana-5310	117	4	compares	compare	VERB
cana-5310	117	5	the	the	DET
cana-5310	117	6	key	key	ADJ
cana-5310	117	7	attributes	attribute	NOUN
cana-5310	117	8	of	of	ADP
cana-5310	117	9	rsa	rsa	PROPN
cana-5310	117	10	,	,	PUNCT
cana-5310	117	11	ecc	ecc	PROPN
cana-5310	117	12	,	,	PUNCT
cana-5310	117	13	and	and	CCONJ
cana-5310	117	14	lattice	lattice	NOUN
cana-5310	117	15	-	-	PUNCT
cana-5310	117	16	based	base	VERB
cana-5310	117	17	cryptography	cryptography	NOUN
cana-5310	117	18	in	in	ADP
cana-5310	117	19	terms	term	NOUN
cana-5310	117	20	of	of	ADP
cana-5310	117	21	their	their	PRON
cana-5310	117	22	security	security	NOUN
cana-5310	117	23	strength	strength	NOUN
cana-5310	117	24	and	and	CCONJ
cana-5310	117	25	computational	computational	ADJ
cana-5310	117	26	performance	performance	NOUN
cana-5310	117	27	.	.	PUNCT
cana-5310	118	1	the	the	DET
cana-5310	118	2	150	150	NUM
cana-5310	118	3	6	6	NUM
cana-5310	118	4	5	5	NUM
cana-5310	118	5	200	200	NUM
cana-5310	118	6	10	10	NUM
cana-5310	118	7	8	8	NUM
cana-5310	118	8	2048	2048	NUM
cana-5310	118	9	256	256	NUM
cana-5310	118	10	256	256	NUM
cana-5310	118	11	0	0	NUM
cana-5310	118	12	500	500	NUM
cana-5310	118	13	1000	1000	NUM
cana-5310	118	14	1500	1500	NUM
cana-5310	118	15	2000	2000	NUM
cana-5310	118	16	2500	2500	NUM
cana-5310	118	17	rsa	rsa	PROPN
cana-5310	118	18	ecc	ecc	PROPN
cana-5310	118	19	ntru	ntru	PROPN
cana-5310	118	20	(	(	PUNCT
cana-5310	118	21	lattice	lattice	PROPN
cana-5310	118	22	)	)	PUNCT
cana-5310	118	23	encryption	encryption	NOUN
cana-5310	118	24	and	and	CCONJ
cana-5310	118	25	decryption	decryption	NOUN
cana-5310	118	26	time	time	NOUN
cana-5310	118	27	for	for	ADP
cana-5310	118	28	ntru	ntru	PROPN
cana-5310	118	29	,	,	PUNCT
cana-5310	118	30	rsa	rsa	PROPN
cana-5310	118	31	,	,	PUNCT
cana-5310	118	32	and	and	CCONJ
cana-5310	118	33	ecc	ecc	NOUN
cana-5310	118	34	encryption	encryption	NOUN
cana-5310	118	35	time	time	NOUN
cana-5310	118	36	(	(	PUNCT
cana-5310	118	37	ms	ms	NOUN
cana-5310	118	38	)	)	PUNCT
cana-5310	118	39	decryption	decryption	NOUN
cana-5310	118	40	time	time	NOUN
cana-5310	118	41	(	(	PUNCT
cana-5310	118	42	ms	ms	NOUN
cana-5310	118	43	)	)	PUNCT
cana-5310	118	44	key	key	ADJ
cana-5310	118	45	size	size	NOUN
cana-5310	118	46	(	(	PUNCT
cana-5310	118	47	bits	bit	NOUN
cana-5310	118	48	)	)	PUNCT
cana-5310	118	49	communications	communication	NOUN
cana-5310	118	50	on	on	ADP
cana-5310	118	51	applied	apply	VERB
cana-5310	118	52	nonlinear	nonlinear	ADJ
cana-5310	118	53	analysis	analysis	NOUN
cana-5310	118	54	issn	issn	NOUN
cana-5310	118	55	:	:	PUNCT
cana-5310	118	56	1074	1074	NUM
cana-5310	118	57	-	-	PUNCT
cana-5310	118	58	133x	133x	NUM
cana-5310	118	59	vol	vol	NOUN
cana-5310	118	60	31	31	NUM
cana-5310	118	61	no	no	NOUN
cana-5310	118	62	.	.	PUNCT
cana-5310	119	1	5s	5s	NUM
cana-5310	119	2	(	(	PUNCT
cana-5310	119	3	2024	2024	NUM
cana-5310	119	4	)	)	PUNCT
cana-5310	119	5	589	589	NUM
cana-5310	119	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5310	119	7	comparative	comparative	ADJ
cana-5310	119	8	analysis	analysis	NOUN
cana-5310	119	9	utilizes	utilize	VERB
cana-5310	119	10	three	three	NUM
cana-5310	119	11	aspects	aspect	NOUN
cana-5310	119	12	to	to	PART
cana-5310	119	13	evaluate	evaluate	VERB
cana-5310	119	14	encryption	encryption	NOUN
cana-5310	119	15	metrics	metric	NOUN
cana-5310	119	16	between	between	ADP
cana-5310	119	17	rsa	rsa	PROPN
cana-5310	119	18	and	and	CCONJ
cana-5310	119	19	ecc	ecc	PROPN
cana-5310	119	20	and	and	CCONJ
cana-5310	119	21	lattice	lattice	NOUN
cana-5310	119	22	-	-	PUNCT
cana-5310	119	23	based	base	VERB
cana-5310	119	24	cryptography	cryptography	NOUN
cana-5310	119	25	.	.	PUNCT
cana-5310	119	26	table	table	NOUN
cana-5310	120	1	1	1	NUM
cana-5310	120	2	:	:	PUNCT
cana-5310	120	3	comparison	comparison	NOUN
cana-5310	120	4	of	of	ADP
cana-5310	120	5	rsa	rsa	PROPN
cana-5310	120	6	,	,	PUNCT
cana-5310	120	7	ecc	ecc	PROPN
cana-5310	120	8	,	,	PUNCT
cana-5310	120	9	and	and	CCONJ
cana-5310	120	10	lattice	lattice	NOUN
cana-5310	120	11	-	-	PUNCT
cana-5310	120	12	based	base	VERB
cana-5310	120	13	cryptography	cryptography	NOUN
cana-5310	120	14	algorithm	algorithm	NOUN
cana-5310	120	15	key	key	NOUN
cana-5310	120	16	size	size	NOUN
cana-5310	120	17	(	(	PUNCT
cana-5310	120	18	bits	bits	NOUN
cana-5310	120	19	)	)	PUNCT
cana-5310	120	20	encryption	encryption	NOUN
cana-5310	120	21	speed	speed	NOUN
cana-5310	120	22	(	(	PUNCT
cana-5310	120	23	ms	ms	NOUN
cana-5310	120	24	)	)	PUNCT
cana-5310	120	25	quantum	quantum	NOUN
cana-5310	120	26	resistance	resistance	NOUN
cana-5310	120	27	security	security	NOUN
cana-5310	120	28	level	level	NOUN
cana-5310	120	29	rsa	rsa	NOUN
cana-5310	120	30	2048	2048	NUM
cana-5310	120	31	25	25	NUM
cana-5310	120	32	low	low	ADJ
cana-5310	120	33	high	high	ADJ
cana-5310	120	34	ecc	ecc	PROPN
cana-5310	120	35	256	256	NUM
cana-5310	120	36	5	5	NUM
cana-5310	120	37	high	high	ADJ
cana-5310	120	38	high	high	ADJ
cana-5310	120	39	ntru	ntru	NOUN
cana-5310	120	40	(	(	PUNCT
cana-5310	120	41	lattice	lattice	PROPN
cana-5310	120	42	)	)	PUNCT
cana-5310	120	43	256	256	NUM
cana-5310	120	44	3	3	NUM
cana-5310	120	45	high	high	ADJ
cana-5310	120	46	high	high	PROPN
cana-5310	120	47	rsa	rsa	PROPN
cana-5310	120	48	needs	need	VERB
cana-5310	120	49	to	to	PART
cana-5310	120	50	employ	employ	VERB
cana-5310	120	51	enormous	enormous	ADJ
cana-5310	120	52	cryptographic	cryptographic	ADJ
cana-5310	120	53	keys	key	NOUN
cana-5310	120	54	reaching	reach	VERB
cana-5310	120	55	2048	2048	NUM
cana-5310	120	56	bits	bit	NOUN
cana-5310	120	57	in	in	ADP
cana-5310	120	58	order	order	NOUN
cana-5310	120	59	to	to	PART
cana-5310	120	60	match	match	VERB
cana-5310	120	61	the	the	DET
cana-5310	120	62	protection	protection	NOUN
cana-5310	120	63	levels	level	NOUN
cana-5310	120	64	provided	provide	VERB
cana-5310	120	65	by	by	ADP
cana-5310	120	66	ecc	ecc	PROPN
cana-5310	120	67	and	and	CCONJ
cana-5310	120	68	lattice	lattice	NOUN
cana-5310	120	69	-	-	PUNCT
cana-5310	120	70	based	base	VERB
cana-5310	120	71	cryptography	cryptography	NOUN
cana-5310	120	72	.	.	PUNCT
cana-5310	121	1	the	the	DET
cana-5310	121	2	encryption	encryption	NOUN
cana-5310	121	3	process	process	NOUN
cana-5310	121	4	for	for	ADP
cana-5310	121	5	rsa	rsa	PROPN
cana-5310	121	6	operates	operate	VERB
cana-5310	121	7	at	at	ADP
cana-5310	121	8	a	a	DET
cana-5310	121	9	speed	speed	NOUN
cana-5310	121	10	that	that	PRON
cana-5310	121	11	is	be	AUX
cana-5310	121	12	slower	slow	ADJ
cana-5310	121	13	than	than	ADP
cana-5310	121	14	the	the	DET
cana-5310	121	15	speeds	speed	NOUN
cana-5310	121	16	of	of	ADP
cana-5310	121	17	ecc	ecc	PROPN
cana-5310	121	18	and	and	CCONJ
cana-5310	121	19	lattice	lattice	NOUN
cana-5310	121	20	-	-	PUNCT
cana-5310	121	21	based	base	VERB
cana-5310	121	22	cryptographic	cryptographic	ADJ
cana-5310	121	23	methods	method	NOUN
cana-5310	121	24	.	.	PUNCT
cana-5310	122	1	rsas	rsa	NOUN
cana-5310	122	2	high	high	ADJ
cana-5310	122	3	level	level	NOUN
cana-5310	122	4	of	of	ADP
cana-5310	122	5	security	security	NOUN
cana-5310	122	6	proves	prove	VERB
cana-5310	122	7	unreliable	unreliable	ADJ
cana-5310	122	8	since	since	SCONJ
cana-5310	122	9	quantum	quantum	NOUN
cana-5310	122	10	attacks	attack	NOUN
cana-5310	122	11	represent	represent	VERB
cana-5310	122	12	a	a	DET
cana-5310	122	13	growing	grow	VERB
cana-5310	122	14	threat	threat	NOUN
cana-5310	122	15	over	over	ADP
cana-5310	122	16	time	time	NOUN
cana-5310	122	17	as	as	SCONJ
cana-5310	122	18	quantum	quantum	NOUN
cana-5310	122	19	computing	computing	NOUN
cana-5310	122	20	technology	technology	NOUN
cana-5310	122	21	develops	develop	VERB
cana-5310	122	22	.	.	PUNCT
cana-5310	123	1	modern	modern	ADJ
cana-5310	123	2	ecc	ecc	PROPN
cana-5310	123	3	and	and	CCONJ
cana-5310	123	4	lattice	lattice	NOUN
cana-5310	123	5	-	-	PUNCT
cana-5310	123	6	based	base	VERB
cana-5310	123	7	cryptosystems	cryptosystem	NOUN
cana-5310	123	8	provide	provide	VERB
cana-5310	123	9	equivalent	equivalent	ADJ
cana-5310	123	10	or	or	CCONJ
cana-5310	123	11	enhanced	enhance	VERB
cana-5310	123	12	security	security	NOUN
cana-5310	123	13	characteristics	characteristic	NOUN
cana-5310	123	14	using	use	VERB
cana-5310	123	15	miniature	miniature	ADJ
cana-5310	123	16	key	key	ADJ
cana-5310	123	17	sizes	size	NOUN
cana-5310	123	18	which	which	PRON
cana-5310	123	19	makes	make	VERB
cana-5310	123	20	them	they	PRON
cana-5310	123	21	both	both	CCONJ
cana-5310	123	22	expedient	expedient	ADJ
cana-5310	123	23	and	and	CCONJ
cana-5310	123	24	quantum	quantum	ADJ
cana-5310	123	25	attack	attack	NOUN
cana-5310	123	26	immune	immune	NOUN
cana-5310	123	27	.	.	PUNCT
cana-5310	124	1	we	we	PRON
cana-5310	124	2	measured	measure	VERB
cana-5310	124	3	the	the	DET
cana-5310	124	4	data	datum	NOUN
cana-5310	124	5	encryption	encryption	NOUN
cana-5310	124	6	and	and	CCONJ
cana-5310	124	7	decryption	decryption	NOUN
cana-5310	124	8	times	time	NOUN
cana-5310	124	9	of	of	ADP
cana-5310	124	10	each	each	DET
cana-5310	124	11	system	system	NOUN
cana-5310	124	12	by	by	ADP
cana-5310	124	13	testing	test	VERB
cana-5310	124	14	different	different	ADJ
cana-5310	124	15	datasets	dataset	NOUN
cana-5310	124	16	which	which	PRON
cana-5310	124	17	increased	increase	VERB
cana-5310	124	18	from	from	ADP
cana-5310	124	19	10	10	NUM
cana-5310	124	20	mb	mb	NOUN
cana-5310	124	21	to	to	ADP
cana-5310	124	22	1	1	NUM
cana-5310	124	23	gb	gb	NOUN
cana-5310	124	24	.	.	PUNCT
cana-5310	124	25	rsa	rsa	PROPN
cana-5310	124	26	experienced	experience	VERB
cana-5310	124	27	a	a	DET
cana-5310	124	28	substantial	substantial	ADJ
cana-5310	124	29	time	time	NOUN
cana-5310	124	30	increase	increase	NOUN
cana-5310	124	31	as	as	SCONJ
cana-5310	124	32	the	the	DET
cana-5310	124	33	dataset	dataset	NOUN
cana-5310	124	34	size	size	NOUN
cana-5310	124	35	expanded	expand	VERB
cana-5310	124	36	while	while	SCONJ
cana-5310	124	37	the	the	DET
cana-5310	124	38	performance	performance	NOUN
cana-5310	124	39	stability	stability	NOUN
cana-5310	124	40	of	of	ADP
cana-5310	124	41	ecc	ecc	PROPN
cana-5310	124	42	and	and	CCONJ
cana-5310	124	43	lattice	lattice	NOUN
cana-5310	124	44	-	-	PUNCT
cana-5310	124	45	based	base	VERB
cana-5310	124	46	cryptosystems	cryptosystem	NOUN
cana-5310	124	47	remained	remain	VERB
cana-5310	124	48	intact	intact	ADJ
cana-5310	124	49	when	when	SCONJ
cana-5310	124	50	dealing	deal	VERB
cana-5310	124	51	with	with	ADP
cana-5310	124	52	large	large	ADJ
cana-5310	124	53	datasets	dataset	NOUN
cana-5310	124	54	.	.	PUNCT
cana-5310	125	1	the	the	DET
cana-5310	125	2	security	security	NOUN
cana-5310	125	3	assessment	assessment	NOUN
cana-5310	125	4	regarding	regard	VERB
cana-5310	125	5	attacks	attack	NOUN
cana-5310	125	6	with	with	ADP
cana-5310	125	7	both	both	CCONJ
cana-5310	125	8	classical	classical	ADJ
cana-5310	125	9	and	and	CCONJ
cana-5310	125	10	quantum	quantum	ADJ
cana-5310	125	11	methods	method	NOUN
cana-5310	125	12	was	be	AUX
cana-5310	125	13	a	a	DET
cana-5310	125	14	key	key	ADJ
cana-5310	125	15	component	component	NOUN
cana-5310	125	16	of	of	ADP
cana-5310	125	17	the	the	DET
cana-5310	125	18	performance	performance	NOUN
cana-5310	125	19	evaluation	evaluation	NOUN
cana-5310	125	20	.	.	PUNCT
cana-5310	126	1	rsa	rsa	PROPN
cana-5310	126	2	and	and	CCONJ
cana-5310	126	3	ecc	ecc	PROPN
cana-5310	126	4	underwent	underwent	NOUN
cana-5310	126	5	security	security	NOUN
cana-5310	126	6	evaluation	evaluation	NOUN
cana-5310	126	7	through	through	ADP
cana-5310	126	8	evaluation	evaluation	NOUN
cana-5310	126	9	of	of	ADP
cana-5310	126	10	classical	classical	ADJ
cana-5310	126	11	attack	attack	NOUN
cana-5310	126	12	methods	method	NOUN
cana-5310	126	13	including	include	VERB
cana-5310	126	14	brute	brute	ADJ
cana-5310	126	15	-	-	PUNCT
cana-5310	126	16	force	force	NOUN
cana-5310	126	17	attacks	attack	NOUN
cana-5310	126	18	and	and	CCONJ
cana-5310	126	19	factorization	factorization	NOUN
cana-5310	126	20	algorithms	algorithm	NOUN
cana-5310	126	21	as	as	ADV
cana-5310	126	22	well	well	ADV
cana-5310	126	23	as	as	ADP
cana-5310	126	24	quantum	quantum	NOUN
cana-5310	126	25	attack	attack	NOUN
cana-5310	126	26	methods	method	NOUN
cana-5310	126	27	involving	involve	VERB
cana-5310	126	28	shor	shor	PROPN
cana-5310	126	29	's	's	PART
cana-5310	126	30	algorithm	algorithm	NOUN
cana-5310	126	31	.	.	PUNCT
cana-5310	127	1	the	the	DET
cana-5310	127	2	tests	test	NOUN
cana-5310	127	3	on	on	ADP
cana-5310	127	4	latticebased	latticebased	ADJ
cana-5310	127	5	cryptographic	cryptographic	ADJ
cana-5310	127	6	systems	system	NOUN
cana-5310	127	7	evaluated	evaluate	VERB
cana-5310	127	8	their	their	PRON
cana-5310	127	9	protection	protection	NOUN
cana-5310	127	10	against	against	ADP
cana-5310	127	11	attacks	attack	NOUN
cana-5310	127	12	that	that	PRON
cana-5310	127	13	used	use	VERB
cana-5310	127	14	classical	classical	ADJ
cana-5310	127	15	and	and	CCONJ
cana-5310	127	16	quantum	quantum	ADJ
cana-5310	127	17	protocols	protocol	NOUN
cana-5310	127	18	.	.	PUNCT
cana-5310	128	1	research	research	NOUN
cana-5310	128	2	data	datum	NOUN
cana-5310	128	3	showed	show	VERB
cana-5310	128	4	that	that	SCONJ
cana-5310	128	5	quantum	quantum	NOUN
cana-5310	128	6	hack	hack	NOUN
cana-5310	128	7	penetration	penetration	NOUN
cana-5310	128	8	defeated	defeat	VERB
cana-5310	128	9	rsa	rsa	PROPN
cana-5310	128	10	and	and	CCONJ
cana-5310	128	11	ecc	ecc	PROPN
cana-5310	128	12	cryptographic	cryptographic	ADJ
cana-5310	128	13	systems	system	NOUN
cana-5310	128	14	but	but	CCONJ
cana-5310	128	15	successfully	successfully	ADV
cana-5310	128	16	secured	secure	VERB
cana-5310	128	17	lattice	lattice	NOUN
cana-5310	128	18	-	-	PUNCT
cana-5310	128	19	based	base	VERB
cana-5310	128	20	cryptography	cryptography	NOUN
cana-5310	128	21	for	for	ADP
cana-5310	128	22	both	both	DET
cana-5310	128	23	attack	attack	NOUN
cana-5310	128	24	types	type	NOUN
cana-5310	128	25	.	.	PUNCT
cana-5310	129	1	lattice	lattice	NOUN
cana-5310	129	2	-	-	PUNCT
cana-5310	129	3	based	base	VERB
cana-5310	129	4	cryptography	cryptography	NOUN
cana-5310	129	5	demonstrates	demonstrate	VERB
cana-5310	129	6	strong	strong	ADJ
cana-5310	129	7	resilience	resilience	NOUN
cana-5310	129	8	in	in	ADP
cana-5310	129	9	quantum	quantum	ADJ
cana-5310	129	10	age	age	NOUN
cana-5310	129	11	environments	environment	NOUN
cana-5310	129	12	which	which	PRON
cana-5310	129	13	serves	serve	VERB
cana-5310	129	14	as	as	ADP
cana-5310	129	15	a	a	DET
cana-5310	129	16	principal	principal	ADJ
cana-5310	129	17	reason	reason	NOUN
cana-5310	129	18	to	to	PART
cana-5310	129	19	select	select	VERB
cana-5310	129	20	it	it	PRON
cana-5310	129	21	as	as	ADP
cana-5310	129	22	the	the	DET
cana-5310	129	23	main	main	ADJ
cana-5310	129	24	cryptographic	cryptographic	ADJ
cana-5310	129	25	algorithm	algorithm	NOUN
cana-5310	129	26	for	for	ADP
cana-5310	129	27	future	future	ADJ
cana-5310	129	28	systems	system	NOUN
cana-5310	129	29	.	.	PUNCT
cana-5310	130	1	lattice	lattice	NOUN
cana-5310	130	2	-	-	PUNCT
cana-5310	130	3	based	base	VERB
cana-5310	130	4	cryptography	cryptography	NOUN
cana-5310	130	5	demonstrates	demonstrate	VERB
cana-5310	130	6	superior	superior	ADJ
cana-5310	130	7	performance	performance	NOUN
cana-5310	130	8	against	against	ADP
cana-5310	130	9	traditional	traditional	ADJ
cana-5310	130	10	systems	system	NOUN
cana-5310	130	11	and	and	CCONJ
cana-5310	130	12	its	its	PRON
cana-5310	130	13	main	main	ADJ
cana-5310	130	14	features	feature	NOUN
cana-5310	130	15	include	include	VERB
cana-5310	130	16	fast	fast	ADJ
cana-5310	130	17	encryption	encryption	NOUN
cana-5310	130	18	rates	rate	NOUN
cana-5310	130	19	and	and	CCONJ
cana-5310	130	20	large	large	ADJ
cana-5310	130	21	key	key	ADJ
cana-5310	130	22	capabilities	capability	NOUN
cana-5310	130	23	as	as	ADV
cana-5310	130	24	well	well	ADV
cana-5310	130	25	as	as	ADP
cana-5310	130	26	strong	strong	ADJ
cana-5310	130	27	resistance	resistance	NOUN
cana-5310	130	28	against	against	ADP
cana-5310	130	29	quantum	quantum	ADJ
cana-5310	130	30	algorithm	algorithm	NOUN
cana-5310	130	31	attacks	attack	NOUN
cana-5310	130	32	.	.	PUNCT
cana-5310	131	1	the	the	DET
cana-5310	131	2	performance	performance	NOUN
cana-5310	131	3	evaluation	evaluation	NOUN
cana-5310	131	4	reveals	reveal	VERB
cana-5310	131	5	that	that	SCONJ
cana-5310	131	6	ecc	ecc	PROPN
cana-5310	131	7	together	together	ADV
cana-5310	131	8	with	with	ADP
cana-5310	131	9	lattice	lattice	NOUN
cana-5310	131	10	-	-	PUNCT
cana-5310	131	11	based	base	VERB
cana-5310	131	12	algorithms	algorithm	NOUN
cana-5310	131	13	present	present	VERB
cana-5310	131	14	modern	modern	ADJ
cana-5310	131	15	cryptographic	cryptographic	ADJ
cana-5310	131	16	solutions	solution	NOUN
cana-5310	131	17	which	which	PRON
cana-5310	131	18	provide	provide	VERB
cana-5310	131	19	scalability	scalability	NOUN
cana-5310	131	20	and	and	CCONJ
cana-5310	131	21	security	security	NOUN
cana-5310	131	22	with	with	ADP
cana-5310	131	23	efficient	efficient	ADJ
cana-5310	131	24	operations	operation	NOUN
cana-5310	131	25	.	.	PUNCT
cana-5310	132	1	communications	communication	NOUN
cana-5310	132	2	on	on	ADP
cana-5310	132	3	applied	apply	VERB
cana-5310	132	4	nonlinear	nonlinear	ADJ
cana-5310	132	5	analysis	analysis	NOUN
cana-5310	132	6	issn	issn	NOUN
cana-5310	132	7	:	:	PUNCT
cana-5310	132	8	1074	1074	NUM
cana-5310	132	9	-	-	PUNCT
cana-5310	132	10	133x	133x	NUM
cana-5310	132	11	vol	vol	NOUN
cana-5310	132	12	31	31	NUM
cana-5310	132	13	no	no	NOUN
cana-5310	132	14	.	.	PUNCT
cana-5310	133	1	5s	5s	NUM
cana-5310	133	2	(	(	PUNCT
cana-5310	133	3	2024	2024	NUM
cana-5310	133	4	)	)	PUNCT
cana-5310	133	5	590	590	NUM
cana-5310	133	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5310	133	7	table	table	NOUN
cana-5310	133	8	2	2	NUM
cana-5310	133	9	:	:	PUNCT
cana-5310	133	10	summary	summary	NOUN
cana-5310	133	11	of	of	ADP
cana-5310	133	12	performance	performance	NOUN
cana-5310	133	13	and	and	CCONJ
cana-5310	133	14	security	security	NOUN
cana-5310	133	15	analysis	analysis	NOUN
cana-5310	133	16	cryptographic	cryptographic	ADJ
cana-5310	133	17	system	system	NOUN
cana-5310	133	18	encryption	encryption	NOUN
cana-5310	133	19	time	time	NOUN
cana-5310	133	20	(	(	PUNCT
cana-5310	133	21	ms	ms	NOUN
cana-5310	133	22	)	)	PUNCT
cana-5310	133	23	key	key	ADJ
cana-5310	133	24	size	size	NOUN
cana-5310	133	25	(	(	PUNCT
cana-5310	133	26	bits	bits	NOUN
cana-5310	133	27	)	)	PUNCT
cana-5310	133	28	quantum	quantum	NOUN
cana-5310	133	29	resistance	resistance	NOUN
cana-5310	133	30	overall	overall	ADJ
cana-5310	133	31	efficiency	efficiency	PROPN
cana-5310	133	32	rsa	rsa	NOUN
cana-5310	133	33	25	25	NUM
cana-5310	133	34	2048	2048	NUM
cana-5310	133	35	low	low	ADJ
cana-5310	133	36	moderate	moderate	ADJ
cana-5310	133	37	ecc	ecc	PROPN
cana-5310	133	38	5	5	NUM
cana-5310	133	39	256	256	NUM
cana-5310	133	40	high	high	ADJ
cana-5310	133	41	high	high	ADJ
cana-5310	133	42	ntru	ntru	NOUN
cana-5310	133	43	(	(	PUNCT
cana-5310	133	44	lattice	lattice	PROPN
cana-5310	133	45	)	)	PUNCT
cana-5310	133	46	3	3	NUM
cana-5310	133	47	256	256	NUM
cana-5310	133	48	high	high	ADJ
cana-5310	133	49	high	high	ADV
cana-5310	133	50	the	the	DET
cana-5310	133	51	growing	grow	VERB
cana-5310	133	52	value	value	NOUN
cana-5310	133	53	of	of	ADP
cana-5310	133	54	quantum	quantum	ADJ
cana-5310	133	55	resistance	resistance	NOUN
cana-5310	133	56	has	have	AUX
cana-5310	133	57	made	make	VERB
cana-5310	133	58	lattice	lattice	NOUN
cana-5310	133	59	-	-	PUNCT
cana-5310	133	60	based	base	VERB
cana-5310	133	61	cryptography	cryptography	NOUN
cana-5310	133	62	establish	establish	VERB
cana-5310	133	63	itself	itself	PRON
cana-5310	133	64	as	as	ADP
cana-5310	133	65	a	a	DET
cana-5310	133	66	forward	forward	ADV
cana-5310	133	67	-	-	PUNCT
cana-5310	133	68	looking	look	VERB
cana-5310	133	69	solution	solution	NOUN
cana-5310	133	70	set	set	VERB
cana-5310	133	71	to	to	PART
cana-5310	133	72	surpass	surpass	VERB
cana-5310	133	73	traditional	traditional	ADJ
cana-5310	133	74	systems	system	NOUN
cana-5310	133	75	by	by	ADP
cana-5310	133	76	delivering	deliver	VERB
cana-5310	133	77	increased	increase	VERB
cana-5310	133	78	performance	performance	NOUN
cana-5310	133	79	and	and	CCONJ
cana-5310	133	80	security	security	NOUN
cana-5310	133	81	.	.	PUNCT
cana-5310	134	1	v.	v.	ADP
cana-5310	134	2	conclusion	conclusion	NOUN
cana-5310	134	3	post	post	ADJ
cana-5310	134	4	-	-	ADJ
cana-5310	134	5	quantum	quantum	ADJ
cana-5310	134	6	cryptography	cryptography	NOUN
cana-5310	134	7	emerged	emerge	VERB
cana-5310	134	8	as	as	ADP
cana-5310	134	9	a	a	DET
cana-5310	134	10	critical	critical	ADJ
cana-5310	134	11	research	research	NOUN
cana-5310	134	12	field	field	NOUN
cana-5310	134	13	when	when	SCONJ
cana-5310	134	14	people	people	NOUN
cana-5310	134	15	start	start	VERB
cana-5310	134	16	adopting	adopt	VERB
cana-5310	134	17	quantum	quantum	NOUN
cana-5310	134	18	technologies	technology	NOUN
cana-5310	134	19	because	because	SCONJ
cana-5310	134	20	lattice	lattice	NOUN
cana-5310	134	21	-	-	PUNCT
cana-5310	134	22	based	base	VERB
cana-5310	134	23	and	and	CCONJ
cana-5310	134	24	other	other	ADJ
cana-5310	134	25	quantum	quantum	NOUN
cana-5310	134	26	-	-	PUNCT
cana-5310	134	27	strong	strong	ADJ
cana-5310	134	28	systems	system	NOUN
cana-5310	134	29	serve	serve	VERB
cana-5310	134	30	as	as	ADP
cana-5310	134	31	potential	potential	ADJ
cana-5310	134	32	remedies	remedy	NOUN
cana-5310	134	33	against	against	ADP
cana-5310	134	34	future	future	ADJ
cana-5310	134	35	cryptographic	cryptographic	ADJ
cana-5310	134	36	threats	threat	NOUN
cana-5310	134	37	.	.	PUNCT
cana-5310	135	1	the	the	DET
cana-5310	135	2	future	future	ADJ
cana-5310	135	3	evolution	evolution	NOUN
cana-5310	135	4	of	of	ADP
cana-5310	135	5	numbertheoretic	numbertheoretic	ADJ
cana-5310	135	6	methods	method	NOUN
cana-5310	135	7	in	in	ADP
cana-5310	135	8	cryptography	cryptography	NOUN
cana-5310	135	9	will	will	AUX
cana-5310	135	10	preserve	preserve	VERB
cana-5310	135	11	digital	digital	ADJ
cana-5310	135	12	system	system	NOUN
cana-5310	135	13	security	security	NOUN
cana-5310	135	14	together	together	ADV
cana-5310	135	15	with	with	ADP
cana-5310	135	16	confidentiality	confidentiality	NOUN
cana-5310	135	17	as	as	SCONJ
cana-5310	135	18	the	the	DET
cana-5310	135	19	world	world	NOUN
cana-5310	135	20	becomes	become	VERB
cana-5310	135	21	more	more	ADV
cana-5310	135	22	digitally	digitally	ADV
cana-5310	135	23	interconnected	interconnect	VERB
cana-5310	135	24	.	.	PUNCT
cana-5310	136	1	references	reference	NOUN
cana-5310	136	2	[	[	X
cana-5310	136	3	1	1	NUM
cana-5310	136	4	]	]	PUNCT
cana-5310	136	5	l.	l.	PROPN
cana-5310	136	6	beshaj	beshaj	PROPN
cana-5310	136	7	and	and	CCONJ
cana-5310	136	8	a.	a.	PROPN
cana-5310	136	9	o.	o.	PROPN
cana-5310	136	10	hall	hall	PROPN
cana-5310	136	11	,	,	PUNCT
cana-5310	136	12	“	"	PUNCT
cana-5310	136	13	recent	recent	ADJ
cana-5310	136	14	developments	development	NOUN
cana-5310	136	15	in	in	ADP
cana-5310	136	16	cryptography	cryptography	NOUN
cana-5310	136	17	,	,	PUNCT
cana-5310	136	18	”	"	PUNCT
cana-5310	136	19	2020	2020	NUM
cana-5310	136	20	12th	12th	ADJ
cana-5310	136	21	international	international	ADJ
cana-5310	136	22	conference	conference	NOUN
cana-5310	136	23	on	on	ADP
cana-5310	136	24	cyber	cyber	ADJ
cana-5310	136	25	conflict	conflict	NOUN
cana-5310	136	26	(	(	PUNCT
cana-5310	136	27	cycon	cycon	NOUN
cana-5310	136	28	)	)	PUNCT
cana-5310	136	29	,	,	PUNCT
cana-5310	136	30	estonia	estonia	PROPN
cana-5310	136	31	,	,	PUNCT
cana-5310	136	32	pp	pp	ADV
cana-5310	136	33	.	.	PUNCT
cana-5310	137	1	351–368	351–368	NUM
cana-5310	137	2	,	,	PUNCT
cana-5310	137	3	may	may	AUX
cana-5310	137	4	2020	2020	NUM
cana-5310	137	5	,	,	PUNCT
cana-5310	137	6	doi	doi	NOUN
cana-5310	137	7	:	:	PUNCT
cana-5310	137	8	10.23919	10.23919	NUM
cana-5310	137	9	/	/	SYM
cana-5310	137	10	cycon49761.2020.9131714	cycon49761.2020.9131714	PROPN
cana-5310	137	11	.	.	PUNCT
cana-5310	138	1	[	[	X
cana-5310	138	2	2	2	NUM
cana-5310	138	3	]	]	PUNCT
cana-5310	138	4	c.	c.	NOUN
cana-5310	138	5	peikert	peikert	NOUN
cana-5310	138	6	,	,	PUNCT
cana-5310	138	7	“	"	PUNCT
cana-5310	138	8	a	a	DET
cana-5310	138	9	decade	decade	NOUN
cana-5310	138	10	of	of	ADP
cana-5310	138	11	lattice	lattice	NOUN
cana-5310	138	12	cryptography	cryptography	NOUN
cana-5310	138	13	,	,	PUNCT
cana-5310	138	14	”	"	PUNCT
cana-5310	138	15	foundations	foundation	NOUN
cana-5310	138	16	and	and	CCONJ
cana-5310	138	17	trends	trend	NOUN
cana-5310	138	18	®	®	NOUN
cana-5310	138	19	in	in	ADP
cana-5310	138	20	theoretical	theoretical	ADJ
cana-5310	138	21	computer	computer	NOUN
cana-5310	138	22	science	science	NOUN
cana-5310	138	23	,	,	PUNCT
cana-5310	138	24	vol	vol	NOUN
cana-5310	138	25	.	.	PROPN
cana-5310	138	26	10	10	NUM
cana-5310	138	27	,	,	PUNCT
cana-5310	138	28	no	no	INTJ
cana-5310	138	29	.	.	NOUN
cana-5310	138	30	4	4	NUM
cana-5310	138	31	,	,	PUNCT
cana-5310	138	32	pp	pp	ADJ
cana-5310	138	33	.	.	PUNCT
cana-5310	139	1	283–424	283–424	NUM
cana-5310	139	2	,	,	PUNCT
cana-5310	139	3	jan	jan	PROPN
cana-5310	139	4	.	.	PROPN
cana-5310	139	5	2016	2016	NUM
cana-5310	139	6	,	,	PUNCT
cana-5310	139	7	doi	doi	NOUN
cana-5310	139	8	:	:	PUNCT
cana-5310	139	9	10.1561/0400000074	10.1561/0400000074	NUM
cana-5310	139	10	.	.	PUNCT
cana-5310	140	1	[	[	X
cana-5310	140	2	3	3	NUM
cana-5310	140	3	]	]	X
cana-5310	140	4	satriawan	satriawan	ADJ
cana-5310	140	5	,	,	PUNCT
cana-5310	140	6	i.	i.	NOUN
cana-5310	140	7	syafalni	syafalni	PROPN
cana-5310	140	8	,	,	PUNCT
cana-5310	140	9	r.	r.	PROPN
cana-5310	140	10	mareta	mareta	PROPN
cana-5310	140	11	,	,	PUNCT
cana-5310	140	12	i.	i.	NOUN
cana-5310	140	13	anshori	anshori	PROPN
cana-5310	140	14	,	,	PUNCT
cana-5310	140	15	w.	w.	PROPN
cana-5310	140	16	shalannanda	shalannanda	PROPN
cana-5310	140	17	,	,	PUNCT
cana-5310	140	18	and	and	CCONJ
cana-5310	140	19	a.	a.	NOUN
cana-5310	140	20	barra	barra	PROPN
cana-5310	140	21	,	,	PUNCT
cana-5310	140	22	“	"	PUNCT
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cana-5310	140	24	review	review	NOUN
cana-5310	140	25	on	on	ADP
cana-5310	140	26	number	number	NOUN
cana-5310	140	27	theoretic	theoretic	NOUN
cana-5310	140	28	transform	transform	NOUN
cana-5310	140	29	and	and	CCONJ
cana-5310	140	30	comprehensive	comprehensive	ADJ
cana-5310	140	31	review	review	NOUN
cana-5310	140	32	on	on	ADP
cana-5310	140	33	its	its	PRON
cana-5310	140	34	implementations	implementation	NOUN
cana-5310	140	35	,	,	PUNCT
cana-5310	140	36	”	"	PUNCT
cana-5310	140	37	ieee	ieee	NOUN
cana-5310	140	38	access	access	NOUN
cana-5310	140	39	,	,	PUNCT
cana-5310	140	40	vol	vol	NOUN
cana-5310	140	41	.	.	PROPN
cana-5310	140	42	11	11	NUM
cana-5310	140	43	,	,	PUNCT
cana-5310	140	44	pp	pp	ADJ
cana-5310	140	45	.	.	PUNCT
cana-5310	141	1	70288–70316	70288–70316	NUM
cana-5310	141	2	,	,	PUNCT
cana-5310	141	3	jan	jan	PROPN
cana-5310	141	4	.	.	PROPN
cana-5310	141	5	2023	2023	NUM
cana-5310	141	6	,	,	PUNCT
cana-5310	141	7	doi	doi	NOUN
cana-5310	141	8	:	:	PUNCT
cana-5310	141	9	10.1109	10.1109	NUM
cana-5310	141	10	/	/	SYM
cana-5310	141	11	access.2023.3294446	access.2023.3294446	NOUN
cana-5310	141	12	.	.	PUNCT
cana-5310	142	1	[	[	X
cana-5310	142	2	4	4	NUM
cana-5310	142	3	]	]	X
cana-5310	142	4	p.-l	p.-l	ADJ
cana-5310	142	5	.	.	PUNCT
cana-5310	143	1	cayrel	cayrel	PROPN
cana-5310	143	2	,	,	PUNCT
cana-5310	143	3	s.	s.	PROPN
cana-5310	143	4	m.	m.	PROPN
cana-5310	143	5	e.	e.	PROPN
cana-5310	143	6	y.	y.	PROPN
cana-5310	143	7	alaoui	alaoui	PROPN
cana-5310	143	8	,	,	PUNCT
cana-5310	143	9	g.	g.	PROPN
cana-5310	143	10	hoffmann	hoffmann	PROPN
cana-5310	143	11	,	,	PUNCT
cana-5310	143	12	m.	m.	NOUN
cana-5310	143	13	meziani	meziani	PROPN
cana-5310	143	14	,	,	PUNCT
cana-5310	143	15	and	and	CCONJ
cana-5310	143	16	r.	r.	PROPN
cana-5310	143	17	niebuhr	niebuhr	PROPN
cana-5310	143	18	,	,	PUNCT
cana-5310	143	19	“	"	PUNCT
cana-5310	143	20	recent	recent	ADJ
cana-5310	143	21	progress	progress	NOUN
cana-5310	143	22	in	in	ADP
cana-5310	143	23	code	code	NOUN
cana-5310	143	24	-	-	PUNCT
cana-5310	143	25	based	base	VERB
cana-5310	143	26	cryptography	cryptography	NOUN
cana-5310	143	27	,	,	PUNCT
cana-5310	143	28	”	"	PUNCT
cana-5310	143	29	in	in	ADP
cana-5310	143	30	communications	communication	NOUN
cana-5310	143	31	in	in	ADP
cana-5310	143	32	computer	computer	NOUN
cana-5310	143	33	and	and	CCONJ
cana-5310	143	34	information	information	NOUN
cana-5310	143	35	science	science	NOUN
cana-5310	143	36	,	,	PUNCT
cana-5310	143	37	2011	2011	NUM
cana-5310	143	38	,	,	PUNCT
cana-5310	143	39	pp	pp	ADJ
cana-5310	143	40	.	.	PUNCT
cana-5310	144	1	21–32	21–32	NUM
cana-5310	144	2	.	.	PUNCT
cana-5310	145	1	doi	doi	NOUN
cana-5310	145	2	:	:	PUNCT
cana-5310	145	3	10.1007/978	10.1007/978	NUM
cana-5310	145	4	-	-	SYM
cana-5310	145	5	3	3	NUM
cana-5310	145	6	-	-	PUNCT
cana-5310	145	7	642	642	NUM
cana-5310	145	8	-	-	PUNCT
cana-5310	145	9	23141	23141	NUM
cana-5310	145	10	-	-	SYM
cana-5310	145	11	4_3	4_3	NUM
cana-5310	145	12	.	.	PUNCT
cana-5310	146	1	[	[	X
cana-5310	146	2	5	5	X
cana-5310	146	3	]	]	PUNCT
cana-5310	146	4	s.	s.	PROPN
cana-5310	146	5	pirandola	pirandola	PROPN
cana-5310	146	6	et	et	PROPN
cana-5310	146	7	al	al	PROPN
cana-5310	146	8	.	.	PROPN
cana-5310	146	9	,	,	PUNCT
cana-5310	146	10	“	"	PUNCT
cana-5310	146	11	advances	advance	NOUN
cana-5310	146	12	in	in	ADP
cana-5310	146	13	quantum	quantum	ADJ
cana-5310	146	14	cryptography	cryptography	NOUN
cana-5310	146	15	,	,	PUNCT
cana-5310	146	16	”	"	PUNCT
cana-5310	146	17	advances	advance	NOUN
cana-5310	146	18	in	in	ADP
cana-5310	146	19	optics	optic	NOUN
cana-5310	146	20	and	and	CCONJ
cana-5310	146	21	photonics	photonic	NOUN
cana-5310	146	22	,	,	PUNCT
cana-5310	146	23	vol	vol	NOUN
cana-5310	146	24	.	.	PROPN
cana-5310	146	25	12	12	NUM
cana-5310	146	26	,	,	PUNCT
cana-5310	146	27	no	no	INTJ
cana-5310	146	28	.	.	NOUN
cana-5310	146	29	4	4	NUM
cana-5310	146	30	,	,	PUNCT
cana-5310	146	31	p.	p.	NOUN
cana-5310	146	32	1012	1012	NUM
cana-5310	146	33	,	,	PUNCT
cana-5310	146	34	feb	feb	PROPN
cana-5310	146	35	.	.	PROPN
cana-5310	146	36	2020	2020	NUM
cana-5310	146	37	,	,	PUNCT
cana-5310	146	38	doi	doi	NOUN
cana-5310	146	39	:	:	PUNCT
cana-5310	146	40	10.1364	10.1364	NUM
cana-5310	146	41	/	/	SYM
cana-5310	146	42	aop.361502	aop.361502	NOUN
cana-5310	146	43	.	.	PUNCT
cana-5310	147	1	[	[	X
cana-5310	147	2	6	6	NUM
cana-5310	147	3	]	]	PUNCT
cana-5310	147	4	e.	e.	PROPN
cana-5310	147	5	zeydan	zeydan	PROPN
cana-5310	147	6	,	,	PUNCT
cana-5310	147	7	y.	y.	PROPN
cana-5310	147	8	turk	turk	PROPN
cana-5310	147	9	,	,	PUNCT
cana-5310	147	10	b.	b.	PROPN
cana-5310	147	11	aksoy	aksoy	PROPN
cana-5310	147	12	,	,	PUNCT
cana-5310	147	13	and	and	CCONJ
cana-5310	147	14	s.	s.	PROPN
cana-5310	147	15	b.	b.	PROPN
cana-5310	147	16	ozturk	ozturk	PROPN
cana-5310	147	17	,	,	PUNCT
cana-5310	147	18	“	"	PUNCT
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cana-5310	147	20	advances	advance	NOUN
cana-5310	147	21	in	in	ADP
cana-5310	147	22	post	post	ADJ
cana-5310	147	23	-	-	ADJ
cana-5310	147	24	quantum	quantum	ADJ
cana-5310	147	25	cryptography	cryptography	NOUN
cana-5310	147	26	for	for	ADP
cana-5310	147	27	networks	network	NOUN
cana-5310	147	28	:	:	PUNCT
cana-5310	147	29	a	a	DET
cana-5310	147	30	survey	survey	NOUN
cana-5310	147	31	,	,	PUNCT
cana-5310	147	32	”	"	PUNCT
cana-5310	147	33	2022	2022	NUM
cana-5310	147	34	seventh	seventh	ADJ
cana-5310	147	35	international	international	ADJ
cana-5310	147	36	conference	conference	NOUN
cana-5310	147	37	on	on	ADP
cana-5310	147	38	mobile	mobile	ADJ
cana-5310	147	39	and	and	CCONJ
cana-5310	147	40	secure	secure	ADJ
cana-5310	147	41	services	service	NOUN
cana-5310	147	42	(	(	PUNCT
cana-5310	147	43	mobisecserv	mobisecserv	NOUN
cana-5310	147	44	)	)	PUNCT
cana-5310	147	45	,	,	PUNCT
cana-5310	147	46	pp	pp	ADP
cana-5310	147	47	.	.	PUNCT
cana-5310	148	1	1–8	1–8	NUM
cana-5310	148	2	,	,	PUNCT
cana-5310	148	3	feb	feb	PROPN
cana-5310	148	4	.	.	PROPN
cana-5310	148	5	2022	2022	NUM
cana-5310	148	6	,	,	PUNCT
cana-5310	148	7	doi	doi	NOUN
cana-5310	148	8	:	:	PUNCT
cana-5310	148	9	10.1109	10.1109	NUM
cana-5310	148	10	/	/	SYM
cana-5310	148	11	mobisecserv50855.2022.9727214	mobisecserv50855.2022.9727214	PROPN
cana-5310	148	12	.	.	PUNCT
cana-5310	149	1	communications	communication	NOUN
cana-5310	149	2	on	on	ADP
cana-5310	149	3	applied	apply	VERB
cana-5310	149	4	nonlinear	nonlinear	ADJ
cana-5310	149	5	analysis	analysis	NOUN
cana-5310	149	6	issn	issn	NOUN
cana-5310	149	7	:	:	PUNCT
cana-5310	149	8	1074	1074	NUM
cana-5310	149	9	-	-	PUNCT
cana-5310	149	10	133x	133x	NUM
cana-5310	149	11	vol	vol	NOUN
cana-5310	149	12	31	31	NUM
cana-5310	149	13	no	no	NOUN
cana-5310	149	14	.	.	PUNCT
cana-5310	150	1	5s	5s	NUM
cana-5310	150	2	(	(	PUNCT
cana-5310	150	3	2024	2024	NUM
cana-5310	150	4	)	)	PUNCT
cana-5310	150	5	591	591	NUM
cana-5310	150	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5310	151	1	[	[	X
cana-5310	151	2	7	7	X
cana-5310	151	3	]	]	PUNCT
cana-5310	151	4	f.	f.	NOUN
cana-5310	151	5	boudot	boudot	PROPN
cana-5310	151	6	,	,	PUNCT
cana-5310	151	7	p.	p.	NOUN
cana-5310	151	8	gaudry	gaudry	NOUN
cana-5310	151	9	,	,	PUNCT
cana-5310	151	10	a.	a.	NOUN
cana-5310	151	11	guillevic	guillevic	PROPN
cana-5310	151	12	,	,	PUNCT
cana-5310	151	13	n.	n.	NOUN
cana-5310	151	14	heninger	heninger	PROPN
cana-5310	151	15	,	,	PUNCT
cana-5310	151	16	e.	e.	PROPN
cana-5310	151	17	thome	thome	PROPN
cana-5310	151	18	,	,	PUNCT
cana-5310	151	19	and	and	CCONJ
cana-5310	151	20	p.	p.	PROPN
cana-5310	151	21	zimmermann	zimmermann	PROPN
cana-5310	151	22	,	,	PUNCT
cana-5310	151	23	“	"	PUNCT
cana-5310	151	24	the	the	DET
cana-5310	151	25	state	state	NOUN
cana-5310	151	26	of	of	ADP
cana-5310	151	27	the	the	DET
cana-5310	151	28	art	art	NOUN
cana-5310	151	29	in	in	ADP
cana-5310	151	30	integer	integer	NOUN
cana-5310	151	31	factoring	factoring	NOUN
cana-5310	151	32	and	and	CCONJ
cana-5310	151	33	breaking	break	VERB
cana-5310	151	34	public	public	ADJ
cana-5310	151	35	-	-	PUNCT
cana-5310	151	36	key	key	NOUN
cana-5310	151	37	cryptography	cryptography	NOUN
cana-5310	151	38	,	,	PUNCT
cana-5310	151	39	”	"	PUNCT
cana-5310	151	40	ieee	ieee	NOUN
cana-5310	151	41	security	security	PROPN
cana-5310	151	42	&	&	CCONJ
cana-5310	151	43	privacy	privacy	NOUN
cana-5310	151	44	,	,	PUNCT
cana-5310	151	45	vol	vol	NOUN
cana-5310	151	46	.	.	PROPN
cana-5310	151	47	20	20	NUM
cana-5310	151	48	,	,	PUNCT
cana-5310	151	49	no	no	INTJ
cana-5310	151	50	.	.	NOUN
cana-5310	151	51	2	2	NUM
cana-5310	151	52	,	,	PUNCT
cana-5310	151	53	pp	pp	ADJ
cana-5310	151	54	.	.	PUNCT
cana-5310	152	1	80–86	80–86	NUM
cana-5310	152	2	,	,	PUNCT
cana-5310	152	3	mar	mar	PROPN
cana-5310	152	4	.	.	PROPN
cana-5310	152	5	2022	2022	NUM
cana-5310	152	6	,	,	PUNCT
cana-5310	152	7	doi	doi	NOUN
cana-5310	152	8	:	:	PUNCT
cana-5310	152	9	10.1109	10.1109	NUM
cana-5310	152	10	/	/	SYM
cana-5310	152	11	msec.2022.3141918	msec.2022.3141918	NOUN
cana-5310	152	12	.	.	PUNCT
cana-5310	153	1	[	[	X
cana-5310	153	2	8	8	NUM
cana-5310	153	3	]	]	X
cana-5310	153	4	preneel	preneel	NOUN
cana-5310	153	5	,	,	PUNCT
cana-5310	153	6	v.	v.	CCONJ
cana-5310	153	7	rijmen	rijman	NOUN
cana-5310	153	8	,	,	PUNCT
cana-5310	153	9	and	and	CCONJ
cana-5310	153	10	a.	a.	NOUN
cana-5310	153	11	bosselaers	bosselaer	NOUN
cana-5310	153	12	,	,	PUNCT
cana-5310	153	13	“	"	PUNCT
cana-5310	153	14	recent	recent	ADJ
cana-5310	153	15	developments	development	NOUN
cana-5310	153	16	in	in	ADP
cana-5310	153	17	the	the	DET
cana-5310	153	18	design	design	NOUN
cana-5310	153	19	of	of	ADP
cana-5310	153	20	conventional	conventional	ADJ
cana-5310	153	21	cryptographic	cryptographic	ADJ
cana-5310	153	22	algorithms	algorithm	NOUN
cana-5310	153	23	,	,	PUNCT
cana-5310	153	24	”	"	PUNCT
cana-5310	153	25	in	in	ADP
cana-5310	153	26	lecture	lecture	NOUN
cana-5310	153	27	notes	note	NOUN
cana-5310	153	28	in	in	ADP
cana-5310	153	29	computer	computer	NOUN
cana-5310	153	30	science	science	NOUN
cana-5310	153	31	,	,	PUNCT
cana-5310	153	32	1998	1998	NUM
cana-5310	153	33	,	,	PUNCT
cana-5310	153	34	pp	pp	ADJ
cana-5310	153	35	.	.	PUNCT
cana-5310	154	1	105–130	105–130	NUM
cana-5310	154	2	.	.	PUNCT
cana-5310	155	1	doi	doi	NOUN
cana-5310	155	2	:	:	PUNCT
cana-5310	155	3	10.1007/3	10.1007/3	NUM
cana-5310	155	4	-	-	PUNCT
cana-5310	155	5	540	540	NUM
cana-5310	155	6	-	-	PUNCT
cana-5310	155	7	49248	49248	NUM
cana-5310	155	8	-	-	PUNCT
cana-5310	155	9	8_4	8_4	NUM
cana-5310	155	10	.	.	PUNCT
cana-5310	156	1	[	[	X
cana-5310	156	2	9	9	NUM
cana-5310	156	3	]	]	PUNCT
cana-5310	156	4	a.	a.	NOUN
cana-5310	156	5	melchor	melchor	PROPN
cana-5310	156	6	,	,	PUNCT
cana-5310	156	7	s.	s.	PROPN
cana-5310	156	8	fau	fau	PROPN
cana-5310	156	9	,	,	PUNCT
cana-5310	156	10	c.	c.	PROPN
cana-5310	156	11	fontaine	fontaine	PROPN
cana-5310	156	12	,	,	PUNCT
cana-5310	156	13	g.	g.	PROPN
cana-5310	156	14	gogniat	gogniat	PROPN
cana-5310	156	15	,	,	PUNCT
cana-5310	156	16	and	and	CCONJ
cana-5310	156	17	r.	r.	PROPN
cana-5310	156	18	sirdey	sirdey	PROPN
cana-5310	156	19	,	,	PUNCT
cana-5310	156	20	“	"	PUNCT
cana-5310	156	21	recent	recent	ADJ
cana-5310	156	22	advances	advance	NOUN
cana-5310	156	23	in	in	ADP
cana-5310	156	24	homomorphic	homomorphic	ADJ
cana-5310	156	25	encryption	encryption	NOUN
cana-5310	156	26	:	:	PUNCT
cana-5310	156	27	a	a	DET
cana-5310	156	28	possible	possible	ADJ
cana-5310	156	29	future	future	NOUN
cana-5310	156	30	for	for	ADP
cana-5310	156	31	signal	signal	ADJ
cana-5310	156	32	processing	processing	NOUN
cana-5310	156	33	in	in	ADP
cana-5310	156	34	the	the	DET
cana-5310	156	35	encrypted	encrypt	VERB
cana-5310	156	36	domain	domain	NOUN
cana-5310	156	37	,	,	PUNCT
cana-5310	156	38	”	"	PUNCT
cana-5310	156	39	ieee	ieee	NOUN
cana-5310	156	40	signal	signal	NOUN
cana-5310	156	41	processing	processing	NOUN
cana-5310	156	42	magazine	magazine	NOUN
cana-5310	156	43	,	,	PUNCT
cana-5310	156	44	vol	vol	NOUN
cana-5310	156	45	.	.	PROPN
cana-5310	156	46	30	30	NUM
cana-5310	156	47	,	,	PUNCT
cana-5310	156	48	no	no	INTJ
cana-5310	156	49	.	.	NOUN
cana-5310	156	50	2	2	NUM
cana-5310	156	51	,	,	PUNCT
cana-5310	156	52	pp	pp	ADJ
cana-5310	156	53	.	.	PUNCT
cana-5310	157	1	108–117	108–117	NUM
cana-5310	157	2	,	,	PUNCT
cana-5310	157	3	feb	feb	PROPN
cana-5310	157	4	.	.	PROPN
cana-5310	157	5	2013	2013	NUM
cana-5310	157	6	,	,	PUNCT
cana-5310	157	7	doi	doi	NOUN
cana-5310	157	8	:	:	PUNCT
cana-5310	157	9	10.1109	10.1109	NUM
cana-5310	157	10	/	/	SYM
cana-5310	157	11	msp.2012.2230219	msp.2012.2230219	NOUN
cana-5310	157	12	.	.	PUNCT
cana-5310	158	1	[	[	X
cana-5310	158	2	10	10	NUM
cana-5310	158	3	]	]	X
cana-5310	158	4	h.	h.	NOUN
cana-5310	158	5	niederreiter	niederreiter	PROPN
cana-5310	158	6	and	and	CCONJ
cana-5310	158	7	i.	i.	PROPN
cana-5310	158	8	e.	e.	PROPN
cana-5310	158	9	shparlinski	shparlinski	PROPN
cana-5310	158	10	,	,	PUNCT
cana-5310	158	11	“	"	PUNCT
cana-5310	158	12	recent	recent	ADJ
cana-5310	158	13	advances	advance	NOUN
cana-5310	158	14	in	in	ADP
cana-5310	158	15	the	the	DET
cana-5310	158	16	theory	theory	NOUN
cana-5310	158	17	of	of	ADP
cana-5310	158	18	nonlinear	nonlinear	ADJ
cana-5310	158	19	pseudorandom	pseudorandom	NOUN
cana-5310	158	20	number	number	NOUN
cana-5310	158	21	generators	generator	NOUN
cana-5310	158	22	,	,	PUNCT
cana-5310	158	23	”	"	PUNCT
cana-5310	158	24	in	in	ADP
cana-5310	158	25	springer	springer	NOUN
cana-5310	158	26	ebooks	ebook	NOUN
cana-5310	158	27	,	,	PUNCT
cana-5310	158	28	2002	2002	NUM
cana-5310	158	29	,	,	PUNCT
cana-5310	158	30	pp	pp	X
cana-5310	158	31	.	.	PUNCT
cana-5310	159	1	86–102	86–102	NUM
cana-5310	159	2	.	.	PUNCT
cana-5310	160	1	doi	doi	NOUN
cana-5310	160	2	:	:	PUNCT
cana-5310	160	3	10.1007/978	10.1007/978	NUM
cana-5310	160	4	-	-	SYM
cana-5310	160	5	3	3	NUM
cana-5310	160	6	-	-	PUNCT
cana-5310	160	7	642	642	NUM
cana-5310	160	8	-	-	PUNCT
cana-5310	160	9	56046	56046	NUM
cana-5310	160	10	-	-	PUNCT
cana-5310	160	11	0_6	0_6	NUM
cana-5310	160	12	.	.	PUNCT
cana-5310	161	1	[	[	X
cana-5310	161	2	11	11	NUM
cana-5310	161	3	]	]	X
cana-5310	161	4	n.	n.	NOUN
cana-5310	161	5	anbar	anbar	NOUN
cana-5310	161	6	,	,	PUNCT
cana-5310	161	7	a.	a.	NOUN
cana-5310	161	8	odžak	odžak	NOUN
cana-5310	161	9	,	,	PUNCT
cana-5310	161	10	v.	v.	CCONJ
cana-5310	161	11	patel	patel	PROPN
cana-5310	161	12	,	,	PUNCT
cana-5310	161	13	l.	l.	PROPN
cana-5310	161	14	quoos	quoos	PROPN
cana-5310	161	15	,	,	PUNCT
cana-5310	161	16	a.	a.	PROPN
cana-5310	161	17	somoza	somoza	PROPN
cana-5310	161	18	,	,	PUNCT
cana-5310	161	19	and	and	CCONJ
cana-5310	161	20	a.	a.	NOUN
cana-5310	161	21	topuzoğlu	topuzoğlu	PROPN
cana-5310	161	22	,	,	PUNCT
cana-5310	161	23	“	"	PUNCT
cana-5310	161	24	on	on	ADP
cana-5310	161	25	the	the	DET
cana-5310	161	26	carlitz	carlitz	PROPN
cana-5310	161	27	rank	rank	NOUN
cana-5310	161	28	of	of	ADP
cana-5310	161	29	permutation	permutation	NOUN
cana-5310	161	30	polynomials	polynomial	NOUN
cana-5310	161	31	over	over	ADP
cana-5310	161	32	finite	finite	ADJ
cana-5310	161	33	fields	field	NOUN
cana-5310	161	34	:	:	PUNCT
cana-5310	161	35	recent	recent	ADJ
cana-5310	161	36	developments	development	NOUN
cana-5310	161	37	,	,	PUNCT
cana-5310	161	38	”	"	PUNCT
cana-5310	161	39	in	in	ADP
cana-5310	161	40	association	association	NOUN
cana-5310	161	41	for	for	ADP
cana-5310	161	42	women	woman	NOUN
cana-5310	161	43	in	in	ADP
cana-5310	161	44	mathematics	mathematic	NOUN
cana-5310	161	45	series	series	NOUN
cana-5310	161	46	,	,	PUNCT
cana-5310	161	47	2018	2018	NUM
cana-5310	161	48	,	,	PUNCT
cana-5310	161	49	pp	pp	ADV
cana-5310	161	50	.	.	PUNCT
cana-5310	162	1	39–55	39–55	X
cana-5310	162	2	.	.	PUNCT
cana-5310	163	1	doi	doi	NOUN
cana-5310	163	2	:	:	PUNCT
cana-5310	163	3	10.1007/978	10.1007/978	NUM
cana-5310	163	4	-	-	SYM
cana-5310	163	5	3319	3319	NUM
cana-5310	163	6	-	-	PUNCT
cana-5310	163	7	74998	74998	NUM
cana-5310	163	8	-	-	SYM
cana-5310	163	9	3_4	3_4	NUM
cana-5310	163	10	.	.	PUNCT
cana-5310	164	1	[	[	X
cana-5310	164	2	12	12	NUM
cana-5310	164	3	]	]	PUNCT
cana-5310	164	4	q.	q.	PROPN
cana-5310	164	5	gao	gao	PROPN
cana-5310	164	6	,	,	PUNCT
cana-5310	164	7	“	"	PUNCT
cana-5310	164	8	recent	recent	ADJ
cana-5310	164	9	developments	development	NOUN
cana-5310	164	10	on	on	ADP
cana-5310	164	11	applying	apply	VERB
cana-5310	164	12	biometrics	biometric	NOUN
cana-5310	164	13	in	in	ADP
cana-5310	164	14	cryptography	cryptography	NOUN
cana-5310	164	15	,	,	PUNCT
cana-5310	164	16	”	"	PUNCT
cana-5310	164	17	journal	journal	NOUN
cana-5310	164	18	of	of	ADP
cana-5310	164	19	applied	apply	VERB
cana-5310	164	20	security	security	NOUN
cana-5310	164	21	research	research	NOUN
cana-5310	164	22	,	,	PUNCT
cana-5310	164	23	vol	vol	NOUN
cana-5310	164	24	.	.	PROPN
cana-5310	164	25	5	5	NUM
cana-5310	164	26	,	,	PUNCT
cana-5310	164	27	no	no	INTJ
cana-5310	164	28	.	.	NOUN
cana-5310	164	29	1	1	NUM
cana-5310	164	30	,	,	PUNCT
cana-5310	164	31	pp	pp	ADJ
cana-5310	164	32	.	.	PUNCT
cana-5310	165	1	107–137	107–137	NUM
cana-5310	165	2	,	,	PUNCT
cana-5310	165	3	dec	dec	PROPN
cana-5310	165	4	.	.	PROPN
cana-5310	165	5	2009	2009	NUM
cana-5310	165	6	,	,	PUNCT
cana-5310	165	7	doi	doi	NOUN
cana-5310	165	8	:	:	PUNCT
cana-5310	165	9	10.1080/19361610903176328	10.1080/19361610903176328	NUM
cana-5310	165	10	.	.	PUNCT
cana-5310	166	1	[	[	X
cana-5310	166	2	13	13	NUM
cana-5310	166	3	]	]	X
cana-5310	166	4	y.	y.	PROPN
cana-5310	166	5	cheng	cheng	PROPN
cana-5310	166	6	,	,	PUNCT
cana-5310	166	7	“	"	PUNCT
cana-5310	166	8	the	the	DET
cana-5310	166	9	sum	sum	NOUN
cana-5310	166	10	of	of	ADP
cana-5310	166	11	four	four	NUM
cana-5310	166	12	squares	square	NOUN
cana-5310	166	13	:	:	PUNCT
cana-5310	166	14	an	an	DET
cana-5310	166	15	exploration	exploration	NOUN
cana-5310	166	16	of	of	ADP
cana-5310	166	17	lagrange	lagrange	PROPN
cana-5310	166	18	’s	’s	PART
cana-5310	166	19	theorem	theorem	NOUN
cana-5310	166	20	and	and	CCONJ
cana-5310	166	21	its	its	PRON
cana-5310	166	22	legacy	legacy	NOUN
cana-5310	166	23	in	in	ADP
cana-5310	166	24	number	number	NOUN
cana-5310	166	25	theory	theory	NOUN
cana-5310	166	26	,	,	PUNCT
cana-5310	166	27	”	"	PUNCT
cana-5310	166	28	theoretical	theoretical	ADJ
cana-5310	166	29	and	and	CCONJ
cana-5310	166	30	natural	natural	ADJ
cana-5310	166	31	science	science	NOUN
cana-5310	166	32	,	,	PUNCT
cana-5310	166	33	vol	vol	NOUN
cana-5310	166	34	.	.	PROPN
cana-5310	166	35	41	41	NUM
cana-5310	166	36	,	,	PUNCT
cana-5310	166	37	no	no	INTJ
cana-5310	166	38	.	.	NOUN
cana-5310	166	39	1	1	NUM
cana-5310	166	40	,	,	PUNCT
cana-5310	166	41	pp	pp	ADJ
cana-5310	166	42	.	.	PUNCT
cana-5310	167	1	175	175	NUM
cana-5310	167	2	–	–	PUNCT
cana-5310	167	3	179	179	NUM
cana-5310	167	4	,	,	PUNCT
cana-5310	167	5	jul	jul	PROPN
cana-5310	167	6	.	.	PROPN
cana-5310	167	7	2024	2024	NUM
cana-5310	167	8	,	,	PUNCT
cana-5310	167	9	doi	doi	NOUN
cana-5310	167	10	:	:	PUNCT
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cana-5310	167	12	-	-	PUNCT
cana-5310	167	13	8818/41/20240576	8818/41/20240576	NUM
cana-5310	167	14	.	.	PUNCT
cana-5310	168	1	[	[	X
cana-5310	168	2	14	14	NUM
cana-5310	168	3	]	]	X
cana-5310	168	4	n.	n.	NOUN
cana-5310	168	5	a.	a.	NOUN
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cana-5310	168	7	,	,	PUNCT
cana-5310	168	8	a.	a.	PROPN
cana-5310	168	9	al	al	PROPN
cana-5310	168	10	-	-	PUNCT
cana-5310	168	11	dubai	dubai	PROPN
cana-5310	168	12	,	,	PUNCT
cana-5310	168	13	and	and	CCONJ
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cana-5310	168	15	j.	j.	PROPN
cana-5310	168	16	buchana	buchana	PROPN
cana-5310	168	17	,	,	PUNCT
cana-5310	168	18	“	"	PUNCT
cana-5310	168	19	recent	recent	ADJ
cana-5310	168	20	advances	advance	NOUN
cana-5310	168	21	and	and	CCONJ
cana-5310	168	22	trends	trend	NOUN
cana-5310	168	23	in	in	ADP
cana-5310	168	24	lightweight	lightweight	ADJ
cana-5310	168	25	cryptography	cryptography	NOUN
cana-5310	168	26	for	for	ADP
cana-5310	168	27	iot	iot	ADJ
cana-5310	168	28	security	security	NOUN
cana-5310	168	29	,	,	PUNCT
cana-5310	168	30	”	"	PUNCT
cana-5310	168	31	2020	2020	NUM
cana-5310	168	32	16th	16th	ADJ
cana-5310	168	33	international	international	ADJ
cana-5310	168	34	conference	conference	NOUN
cana-5310	168	35	on	on	ADP
cana-5310	168	36	network	network	NOUN
cana-5310	168	37	and	and	CCONJ
cana-5310	168	38	service	service	NOUN
cana-5310	168	39	management	management	NOUN
cana-5310	168	40	(	(	PUNCT
cana-5310	168	41	cnsm	cnsm	NOUN
cana-5310	168	42	)	)	PUNCT
cana-5310	168	43	,	,	PUNCT
cana-5310	168	44	pp	pp	ADP
cana-5310	168	45	.	.	PUNCT
cana-5310	169	1	1–5	1–5	NUM
cana-5310	169	2	,	,	PUNCT
cana-5310	169	3	nov	nov	PROPN
cana-5310	169	4	.	.	PROPN
cana-5310	169	5	2020	2020	NUM
cana-5310	169	6	,	,	PUNCT
cana-5310	169	7	doi	doi	NOUN
cana-5310	169	8	:	:	PUNCT
cana-5310	169	9	10.23919	10.23919	NUM
cana-5310	169	10	/	/	SYM
cana-5310	169	11	cnsm50824.2020.9269083	cnsm50824.2020.9269083	PROPN
cana-5310	169	12	.	.	PUNCT
cana-5310	170	1	[	[	X
cana-5310	170	2	15	15	NUM
cana-5310	170	3	]	]	X
cana-5310	170	4	alvarez	alvarez	PROPN
cana-5310	170	5	and	and	CCONJ
cana-5310	170	6	y.	y.	PROPN
cana-5310	170	7	kim	kim	PROPN
cana-5310	170	8	,	,	PUNCT
cana-5310	170	9	“	"	PUNCT
cana-5310	170	10	survey	survey	NOUN
cana-5310	170	11	of	of	ADP
cana-5310	170	12	the	the	DET
cana-5310	170	13	development	development	NOUN
cana-5310	170	14	of	of	ADP
cana-5310	170	15	quantum	quantum	ADJ
cana-5310	170	16	cryptography	cryptography	NOUN
cana-5310	170	17	and	and	CCONJ
cana-5310	170	18	its	its	PRON
cana-5310	170	19	applications	application	NOUN
cana-5310	170	20	,	,	PUNCT
cana-5310	170	21	”	"	PUNCT
cana-5310	170	22	2022	2022	NUM
cana-5310	170	23	ieee	ieee	NOUN
cana-5310	170	24	12th	12th	NOUN
cana-5310	170	25	annual	annual	ADJ
cana-5310	170	26	computing	computing	NOUN
cana-5310	170	27	and	and	CCONJ
cana-5310	170	28	communication	communication	NOUN
cana-5310	170	29	workshop	workshop	NOUN
cana-5310	170	30	and	and	CCONJ
cana-5310	170	31	conference	conference	NOUN
cana-5310	170	32	(	(	PUNCT
cana-5310	170	33	ccwc	ccwc	PROPN
cana-5310	170	34	)	)	PUNCT
cana-5310	170	35	,	,	PUNCT
cana-5310	170	36	pp	pp	ADJ
cana-5310	170	37	.	.	PUNCT
cana-5310	171	1	1074–1080	1074–1080	NUM
cana-5310	171	2	,	,	PUNCT
cana-5310	171	3	jan	jan	PROPN
cana-5310	171	4	.	.	PROPN
cana-5310	171	5	2021	2021	NUM
cana-5310	171	6	,	,	PUNCT
cana-5310	171	7	doi	doi	NOUN
cana-5310	171	8	:	:	PUNCT
cana-5310	171	9	10.1109	10.1109	NUM
cana-5310	171	10	/	/	SYM
cana-5310	171	11	ccwc51732.2021.9375995	ccwc51732.2021.9375995	NOUN
cana-5310	171	12	.	.	PUNCT