id	sid	tid	token	lemma	pos
cana-3288	1	1	communications	communication	NOUN
cana-3288	1	2	on	on	ADP
cana-3288	1	3	applied	apply	VERB
cana-3288	1	4	nonlinear	nonlinear	ADJ
cana-3288	1	5	analysis	analysis	NOUN
cana-3288	1	6	issn	issn	NOUN
cana-3288	1	7	:	:	PUNCT
cana-3288	1	8	1074	1074	NUM
cana-3288	1	9	-	-	PUNCT
cana-3288	1	10	133x	133x	NUM
cana-3288	1	11	vol	vol	NOUN
cana-3288	1	12	32	32	NUM
cana-3288	1	13	no	no	NOUN
cana-3288	1	14	.	.	PUNCT
cana-3288	2	1	6s	6s	NUM
cana-3288	2	2	(	(	PUNCT
cana-3288	2	3	2025	2025	NUM
cana-3288	2	4	)	)	PUNCT
cana-3288	2	5	215	215	NUM
cana-3288	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3288	2	7	leveraging	leverage	VERB
cana-3288	2	8	ldpc	ldpc	NOUN
cana-3288	2	9	-	-	PUNCT
cana-3288	2	10	optimized	optimize	VERB
cana-3288	2	11	niederreiter	niederreiter	NOUN
cana-3288	2	12	cryptosystems	cryptosystem	NOUN
cana-3288	2	13	for	for	SCONJ
cana-3288	2	14	quantumresilient	quantumresilient	NOUN
cana-3288	2	15	iot	iot	PROPN
cana-3288	2	16	security	security	NOUN
cana-3288	2	17	applications	application	NOUN
cana-3288	2	18	krishnaprabha	krishnaprabha	VERB
cana-3288	2	19	.	.	PUNCT
cana-3288	3	1	r	r	NOUN
cana-3288	3	2	amrita	amrita	PROPN
cana-3288	3	3	vishwa	vishwa	PROPN
cana-3288	3	4	vidyapeetham	vidyapeetham	PROPN
cana-3288	3	5	ettimadai	ettimadai	PROPN
cana-3288	3	6	,	,	PUNCT
cana-3288	3	7	coimbatore	coimbatore	PROPN
cana-3288	3	8	,	,	PUNCT
cana-3288	3	9	india	india	PROPN
cana-3288	3	10	.	.	PUNCT
cana-3288	3	11	email	email	NOUN
cana-3288	3	12	:	:	PUNCT
cana-3288	3	13	krishnaprabha.kpr@gmail.com	krishnaprabha.kpr@gmail.com	X
cana-3288	4	1	article	article	PROPN
cana-3288	4	2	history	history	NOUN
cana-3288	4	3	:	:	PUNCT
cana-3288	4	4	received	receive	VERB
cana-3288	4	5	:	:	PUNCT
cana-3288	4	6	18	18	NUM
cana-3288	4	7	-	-	SYM
cana-3288	4	8	10	10	NUM
cana-3288	4	9	-	-	PUNCT
cana-3288	4	10	2024	2024	NUM
cana-3288	4	11	revised	revise	VERB
cana-3288	4	12	:	:	PUNCT
cana-3288	4	13	01	01	NUM
cana-3288	4	14	-	-	SYM
cana-3288	4	15	12	12	NUM
cana-3288	4	16	-	-	PUNCT
cana-3288	4	17	2024	2024	NUM
cana-3288	4	18	accepted	accept	VERB
cana-3288	4	19	:	:	PUNCT
cana-3288	4	20	10	10	NUM
cana-3288	4	21	-	-	SYM
cana-3288	4	22	12	12	NUM
cana-3288	4	23	-	-	PUNCT
cana-3288	4	24	2024	2024	NUM
cana-3288	4	25	abstract	abstract	NOUN
cana-3288	4	26	:	:	PUNCT
cana-3288	4	27	the	the	DET
cana-3288	4	28	niederreiter	niederreiter	ADJ
cana-3288	4	29	cryptosystem	cryptosystem	NOUN
cana-3288	4	30	is	be	AUX
cana-3288	4	31	a	a	DET
cana-3288	4	32	well	well	ADV
cana-3288	4	33	-	-	PUNCT
cana-3288	4	34	established	establish	VERB
cana-3288	4	35	post	post	ADJ
cana-3288	4	36	-	-	ADJ
cana-3288	4	37	quantum	quantum	ADJ
cana-3288	4	38	cryptographic	cryptographic	ADJ
cana-3288	4	39	scheme	scheme	NOUN
cana-3288	4	40	knownfor	knownfor	VERB
cana-3288	4	41	its	its	PRON
cana-3288	4	42	security	security	NOUN
cana-3288	4	43	,	,	PUNCT
cana-3288	4	44	yet	yet	CCONJ
cana-3288	4	45	it	it	PRON
cana-3288	4	46	suffers	suffer	VERB
cana-3288	4	47	from	from	ADP
cana-3288	4	48	large	large	ADJ
cana-3288	4	49	key	key	ADJ
cana-3288	4	50	sizes	size	NOUN
cana-3288	4	51	and	and	CCONJ
cana-3288	4	52	computational	computational	ADJ
cana-3288	4	53	inefficiencies	inefficiency	NOUN
cana-3288	4	54	,	,	PUNCT
cana-3288	4	55	making	make	VERB
cana-3288	4	56	it	it	PRON
cana-3288	4	57	lesssuitable	lesssuitable	ADJ
cana-3288	4	58	for	for	ADP
cana-3288	4	59	resource	resource	NOUN
cana-3288	4	60	-	-	PUNCT
cana-3288	4	61	constrained	constrain	VERB
cana-3288	4	62	environments	environment	NOUN
cana-3288	4	63	like	like	ADP
cana-3288	4	64	the	the	DET
cana-3288	4	65	internet	internet	NOUN
cana-3288	4	66	of	of	ADP
cana-3288	4	67	things	thing	NOUN
cana-3288	4	68	(	(	PUNCT
cana-3288	4	69	iot	iot	NOUN
cana-3288	4	70	)	)	PUNCT
cana-3288	4	71	and	and	CCONJ
cana-3288	4	72	large	large	ADJ
cana-3288	4	73	-	-	PUNCT
cana-3288	4	74	scale	scale	NOUN
cana-3288	4	75	communications	communication	NOUN
cana-3288	4	76	.	.	PUNCT
cana-3288	5	1	this	this	DET
cana-3288	5	2	paper	paper	NOUN
cana-3288	5	3	presents	present	VERB
cana-3288	5	4	an	an	DET
cana-3288	5	5	enhanced	enhanced	ADJ
cana-3288	5	6	version	version	NOUN
cana-3288	5	7	of	of	ADP
cana-3288	5	8	the	the	DET
cana-3288	5	9	niederreiter	niederreiter	NOUN
cana-3288	5	10	cryptosystem	cryptosystem	NOUN
cana-3288	5	11	by	by	ADP
cana-3288	5	12	integrating	integrate	VERB
cana-3288	5	13	low	low	ADJ
cana-3288	5	14	-	-	PUNCT
cana-3288	5	15	density	density	NOUN
cana-3288	5	16	parity	parity	NOUN
cana-3288	5	17	-	-	PUNCT
cana-3288	5	18	check	check	NOUN
cana-3288	5	19	(	(	PUNCT
cana-3288	5	20	ldpc	ldpc	NOUN
cana-3288	5	21	)	)	PUNCT
cana-3288	5	22	codes	code	NOUN
cana-3288	5	23	,	,	PUNCT
cana-3288	5	24	a	a	DET
cana-3288	5	25	class	class	NOUN
cana-3288	5	26	of	of	ADP
cana-3288	5	27	errorcorrecting	errorcorrecte	VERB
cana-3288	5	28	codes	code	NOUN
cana-3288	5	29	characterized	characterize	VERB
cana-3288	5	30	by	by	ADP
cana-3288	5	31	sparse	sparse	ADJ
cana-3288	5	32	matrices	matrix	NOUN
cana-3288	5	33	that	that	PRON
cana-3288	5	34	enable	enable	VERB
cana-3288	5	35	efficient	efficient	ADJ
cana-3288	5	36	decoding	decoding	NOUN
cana-3288	5	37	.	.	PUNCT
cana-3288	6	1	by	by	ADP
cana-3288	6	2	leveraging	leverage	VERB
cana-3288	6	3	the	the	DET
cana-3288	6	4	structural	structural	ADJ
cana-3288	6	5	advantages	advantage	NOUN
cana-3288	6	6	of	of	ADP
cana-3288	6	7	ldpc	ldpc	NOUN
cana-3288	6	8	codes	code	NOUN
cana-3288	6	9	,	,	PUNCT
cana-3288	6	10	the	the	DET
cana-3288	6	11	proposed	propose	VERB
cana-3288	6	12	system	system	NOUN
cana-3288	6	13	achieves	achieve	VERB
cana-3288	6	14	significant	significant	ADJ
cana-3288	6	15	reductions	reduction	NOUN
cana-3288	6	16	in	in	ADP
cana-3288	6	17	key	key	ADJ
cana-3288	6	18	sizes	size	NOUN
cana-3288	6	19	and	and	CCONJ
cana-3288	6	20	improves	improve	VERB
cana-3288	6	21	decoding	decode	VERB
cana-3288	6	22	efficiency	efficiency	NOUN
cana-3288	6	23	while	while	SCONJ
cana-3288	6	24	maintaining	maintain	VERB
cana-3288	6	25	strong	strong	ADJ
cana-3288	6	26	quantum	quantum	ADJ
cana-3288	6	27	resistance	resistance	NOUN
cana-3288	6	28	.	.	PUNCT
cana-3288	7	1	we	we	PRON
cana-3288	7	2	propose	propose	VERB
cana-3288	7	3	an	an	DET
cana-3288	7	4	innovative	innovative	ADJ
cana-3288	7	5	optimization	optimization	NOUN
cana-3288	7	6	of	of	ADP
cana-3288	7	7	the	the	DET
cana-3288	7	8	niederreiter	niederreiter	NOUN
cana-3288	7	9	cryptosystem	cryptosystem	NOUN
cana-3288	7	10	by	by	ADP
cana-3288	7	11	integrating	integrate	VERB
cana-3288	7	12	low	low	ADJ
cana-3288	7	13	-	-	PUNCT
cana-3288	7	14	density	density	NOUN
cana-3288	7	15	parity	parity	NOUN
cana-3288	7	16	-	-	PUNCT
cana-3288	7	17	check	check	NOUN
cana-3288	7	18	(	(	PUNCT
cana-3288	7	19	ldpc	ldpc	NOUN
cana-3288	7	20	)	)	PUNCT
cana-3288	7	21	codes	code	NOUN
cana-3288	7	22	to	to	PART
cana-3288	7	23	achieve	achieve	VERB
cana-3288	7	24	enhanced	enhanced	ADJ
cana-3288	7	25	decoding	decode	VERB
cana-3288	7	26	efficiency	efficiency	NOUN
cana-3288	7	27	and	and	CCONJ
cana-3288	7	28	reduced	reduce	VERB
cana-3288	7	29	key	key	ADJ
cana-3288	7	30	sizes	size	NOUN
cana-3288	7	31	.	.	PUNCT
cana-3288	8	1	our	our	PRON
cana-3288	8	2	contributions	contribution	NOUN
cana-3288	8	3	include	include	VERB
cana-3288	8	4	a	a	DET
cana-3288	8	5	novel	novel	NOUN
cana-3288	8	6	encoding	encoding	NOUN
cana-3288	8	7	decoding	decode	VERB
cana-3288	8	8	mechanism	mechanism	NOUN
cana-3288	8	9	,	,	PUNCT
cana-3288	8	10	an	an	DET
cana-3288	8	11	in	in	ADP
cana-3288	8	12	-	-	PUNCT
cana-3288	8	13	depth	depth	NOUN
cana-3288	8	14	security	security	NOUN
cana-3288	8	15	analysis	analysis	NOUN
cana-3288	8	16	,	,	PUNCT
cana-3288	8	17	and	and	CCONJ
cana-3288	8	18	implementation	implementation	NOUN
cana-3288	8	19	results	result	NOUN
cana-3288	8	20	demonstrating	demonstrate	VERB
cana-3288	8	21	reduced	reduce	VERB
cana-3288	8	22	computational	computational	ADJ
cana-3288	8	23	overhead	overhead	NOUN
cana-3288	8	24	and	and	CCONJ
cana-3288	8	25	improved	improve	VERB
cana-3288	8	26	practicality	practicality	NOUN
cana-3288	8	27	in	in	ADP
cana-3288	8	28	post	post	ADJ
cana-3288	8	29	-	-	ADJ
cana-3288	8	30	quantum	quantum	ADJ
cana-3288	8	31	cryptography	cryptography	NOUN
cana-3288	8	32	.	.	PUNCT
cana-3288	9	1	the	the	DET
cana-3288	9	2	main	main	ADJ
cana-3288	9	3	contributions	contribution	NOUN
cana-3288	9	4	of	of	ADP
cana-3288	9	5	this	this	DET
cana-3288	9	6	work	work	NOUN
cana-3288	9	7	include	include	VERB
cana-3288	9	8	:	:	PUNCT
cana-3288	9	9	(	(	PUNCT
cana-3288	9	10	1	1	X
cana-3288	9	11	)	)	PUNCT
cana-3288	9	12	a	a	DET
cana-3288	9	13	novel	novel	ADJ
cana-3288	9	14	method	method	NOUN
cana-3288	9	15	for	for	ADP
cana-3288	9	16	integrating	integrate	VERB
cana-3288	9	17	ldpc	ldpc	NOUN
cana-3288	9	18	codes	code	NOUN
cana-3288	9	19	into	into	ADP
cana-3288	9	20	the	the	DET
cana-3288	9	21	niederreiter	niederreiter	NOUN
cana-3288	9	22	framework	framework	NOUN
cana-3288	9	23	,	,	PUNCT
cana-3288	9	24	leading	lead	VERB
cana-3288	9	25	to	to	ADP
cana-3288	9	26	a	a	DET
cana-3288	9	27	more	more	ADV
cana-3288	9	28	compact	compact	ADJ
cana-3288	9	29	cryptographic	cryptographic	ADJ
cana-3288	9	30	scheme	scheme	NOUN
cana-3288	9	31	;	;	PUNCT
cana-3288	9	32	(	(	PUNCT
cana-3288	9	33	2	2	X
cana-3288	9	34	)	)	PUNCT
cana-3288	9	35	a	a	DET
cana-3288	9	36	detailed	detailed	ADJ
cana-3288	9	37	analysis	analysis	NOUN
cana-3288	9	38	of	of	ADP
cana-3288	9	39	the	the	DET
cana-3288	9	40	key	key	ADJ
cana-3288	9	41	size	size	NOUN
cana-3288	9	42	reductions	reduction	NOUN
cana-3288	9	43	and	and	CCONJ
cana-3288	9	44	performance	performance	NOUN
cana-3288	9	45	gains	gain	NOUN
cana-3288	9	46	offered	offer	VERB
cana-3288	9	47	by	by	ADP
cana-3288	9	48	ldpc	ldpc	NOUN
cana-3288	9	49	codes	code	NOUN
cana-3288	9	50	;	;	PUNCT
cana-3288	9	51	and	and	CCONJ
cana-3288	9	52	(	(	PUNCT
cana-3288	9	53	3	3	X
cana-3288	9	54	)	)	PUNCT
cana-3288	9	55	an	an	DET
cana-3288	9	56	evaluation	evaluation	NOUN
cana-3288	9	57	of	of	ADP
cana-3288	9	58	the	the	DET
cana-3288	9	59	optimized	optimize	VERB
cana-3288	9	60	system	system	NOUN
cana-3288	9	61	’s	’s	PART
cana-3288	9	62	suitability	suitability	NOUN
cana-3288	9	63	for	for	ADP
cana-3288	9	64	iot	iot	NOUN
cana-3288	9	65	applications	application	NOUN
cana-3288	9	66	and	and	CCONJ
cana-3288	9	67	large	large	ADJ
cana-3288	9	68	-	-	PUNCT
cana-3288	9	69	scale	scale	NOUN
cana-3288	9	70	communication	communication	NOUN
cana-3288	9	71	networks	network	NOUN
cana-3288	9	72	.	.	PUNCT
cana-3288	10	1	simulation	simulation	NOUN
cana-3288	10	2	results	result	NOUN
cana-3288	10	3	demonstrate	demonstrate	VERB
cana-3288	10	4	that	that	SCONJ
cana-3288	10	5	the	the	DET
cana-3288	10	6	proposed	propose	VERB
cana-3288	10	7	ldpc	ldpc	NOUN
cana-3288	10	8	-	-	PUNCT
cana-3288	10	9	enhanced	enhance	VERB
cana-3288	10	10	niederreiter	niederreiter	NOUN
cana-3288	10	11	cryptosystem	cryptosystem	NOUN
cana-3288	10	12	provides	provide	VERB
cana-3288	10	13	a	a	DET
cana-3288	10	14	significant	significant	ADJ
cana-3288	10	15	improvement	improvement	NOUN
cana-3288	10	16	in	in	ADP
cana-3288	10	17	resource	resource	NOUN
cana-3288	10	18	efficiency	efficiency	NOUN
cana-3288	10	19	and	and	CCONJ
cana-3288	10	20	scalability	scalability	NOUN
cana-3288	10	21	without	without	ADP
cana-3288	10	22	compromising	compromise	VERB
cana-3288	10	23	security	security	NOUN
cana-3288	10	24	.	.	PUNCT
cana-3288	11	1	this	this	DET
cana-3288	11	2	optimization	optimization	NOUN
cana-3288	11	3	makes	make	VERB
cana-3288	11	4	it	it	PRON
cana-3288	11	5	a	a	DET
cana-3288	11	6	viable	viable	ADJ
cana-3288	11	7	candidate	candidate	NOUN
cana-3288	11	8	for	for	ADP
cana-3288	11	9	secure	secure	ADJ
cana-3288	11	10	post	post	ADJ
cana-3288	11	11	-	-	ADJ
cana-3288	11	12	quantum	quantum	ADJ
cana-3288	11	13	cryptography	cryptography	NOUN
cana-3288	11	14	in	in	ADP
cana-3288	11	15	future	future	ADJ
cana-3288	11	16	communication	communication	NOUN
cana-3288	11	17	systems	system	NOUN
cana-3288	11	18	.	.	PUNCT
cana-3288	12	1	introduction	introduction	NOUN
cana-3288	12	2	the	the	DET
cana-3288	12	3	rapid	rapid	ADJ
cana-3288	12	4	advancement	advancement	NOUN
cana-3288	12	5	of	of	ADP
cana-3288	12	6	quantum	quantum	NOUN
cana-3288	12	7	computing	computing	NOUN
cana-3288	12	8	poses	pose	VERB
cana-3288	12	9	significant	significant	ADJ
cana-3288	12	10	threats	threat	NOUN
cana-3288	12	11	to	to	ADP
cana-3288	12	12	classical	classical	ADJ
cana-3288	12	13	cryptographic	cryptographic	ADJ
cana-3288	12	14	systems	system	NOUN
cana-3288	12	15	,	,	PUNCT
cana-3288	12	16	necessitating	necessitate	VERB
cana-3288	12	17	the	the	DET
cana-3288	12	18	development	development	NOUN
cana-3288	12	19	of	of	ADP
cana-3288	12	20	quantum	quantum	NOUN
cana-3288	12	21	-	-	ADJ
cana-3288	12	22	resilient	resilient	ADJ
cana-3288	12	23	solutions	solution	NOUN
cana-3288	12	24	.	.	PUNCT
cana-3288	13	1	the	the	DET
cana-3288	13	2	niederreiter	niederreiter	NOUN
cana-3288	13	3	cryptosystem	cryptosystem	NOUN
cana-3288	13	4	,	,	PUNCT
cana-3288	13	5	enhanced	enhance	VERB
cana-3288	13	6	with	with	ADP
cana-3288	13	7	low	low	ADJ
cana-3288	13	8	-	-	PUNCT
cana-3288	13	9	density	density	NOUN
cana-3288	13	10	parity	parity	NOUN
cana-3288	13	11	-	-	PUNCT
cana-3288	13	12	check	check	NOUN
cana-3288	13	13	(	(	PUNCT
cana-3288	13	14	ldpc	ldpc	NOUN
cana-3288	13	15	)	)	PUNCT
cana-3288	13	16	codes	code	NOUN
cana-3288	13	17	,	,	PUNCT
cana-3288	13	18	offers	offer	VERB
cana-3288	13	19	a	a	DET
cana-3288	13	20	robust	robust	ADJ
cana-3288	13	21	framework	framework	NOUN
cana-3288	13	22	for	for	ADP
cana-3288	13	23	securing	secure	VERB
cana-3288	13	24	iot	iot	ADJ
cana-3288	13	25	applications	application	NOUN
cana-3288	13	26	against	against	ADP
cana-3288	13	27	quantum	quantum	NOUN
cana-3288	13	28	attacks	attack	NOUN
cana-3288	13	29	.	.	PUNCT
cana-3288	14	1	by	by	ADP
cana-3288	14	2	optimizing	optimize	VERB
cana-3288	14	3	key	key	ADJ
cana-3288	14	4	sizes	size	NOUN
cana-3288	14	5	and	and	CCONJ
cana-3288	14	6	decoding	decode	VERB
cana-3288	14	7	efficiency	efficiency	NOUN
cana-3288	14	8	,	,	PUNCT
cana-3288	14	9	ldpc	ldpc	NOUN
cana-3288	14	10	codes	code	NOUN
cana-3288	14	11	address	address	VERB
cana-3288	14	12	the	the	DET
cana-3288	14	13	performance	performance	NOUN
cana-3288	14	14	and	and	CCONJ
cana-3288	14	15	scalability	scalability	NOUN
cana-3288	14	16	challenges	challenge	NOUN
cana-3288	14	17	of	of	ADP
cana-3288	14	18	traditional	traditional	ADJ
cana-3288	14	19	post	post	ADJ
cana-3288	14	20	-	-	ADJ
cana-3288	14	21	quantum	quantum	ADJ
cana-3288	14	22	cryptography	cryptography	NOUN
cana-3288	14	23	.	.	PUNCT
cana-3288	15	1	this	this	DET
cana-3288	15	2	paper	paper	NOUN
cana-3288	15	3	explores	explore	VERB
cana-3288	15	4	the	the	DET
cana-3288	15	5	integration	integration	NOUN
cana-3288	15	6	of	of	ADP
cana-3288	15	7	ldpc	ldpc	NOUN
cana-3288	15	8	-	-	PUNCT
cana-3288	15	9	optimized	optimize	VERB
cana-3288	15	10	niederreiter	niederreiter	NOUN
cana-3288	15	11	cryptosystems	cryptosystem	NOUN
cana-3288	15	12	into	into	ADP
cana-3288	15	13	iot	iot	ADJ
cana-3288	15	14	security	security	NOUN
cana-3288	15	15	,	,	PUNCT
cana-3288	15	16	ensuring	ensure	VERB
cana-3288	15	17	lightweight	lightweight	NOUN
cana-3288	15	18	and	and	CCONJ
cana-3288	15	19	efficient	efficient	ADJ
cana-3288	15	20	protection	protection	NOUN
cana-3288	15	21	for	for	ADP
cana-3288	15	22	resource	resource	NOUN
cana-3288	15	23	-	-	PUNCT
cana-3288	15	24	constrained	constrain	VERB
cana-3288	15	25	devices	device	NOUN
cana-3288	15	26	.	.	PUNCT
cana-3288	16	1	the	the	DET
cana-3288	16	2	proposed	propose	VERB
cana-3288	16	3	approach	approach	NOUN
cana-3288	16	4	provides	provide	VERB
cana-3288	16	5	a	a	DET
cana-3288	16	6	balance	balance	NOUN
cana-3288	16	7	between	between	ADP
cana-3288	16	8	computational	computational	ADJ
cana-3288	16	9	efficiency	efficiency	NOUN
cana-3288	16	10	and	and	CCONJ
cana-3288	16	11	strong	strong	ADJ
cana-3288	16	12	security	security	NOUN
cana-3288	16	13	guarantees	guarantee	NOUN
cana-3288	16	14	in	in	ADP
cana-3288	16	15	the	the	DET
cana-3288	16	16	quantum	quantum	ADJ
cana-3288	16	17	era	era	NOUN
cana-3288	16	18	..	..	PUNCT
cana-3288	17	1	objectives	objective	NOUN
cana-3288	17	2	:	:	PUNCT
cana-3288	17	3	the	the	DET
cana-3288	17	4	objective	objective	NOUN
cana-3288	17	5	of	of	ADP
cana-3288	17	6	this	this	DET
cana-3288	17	7	paper	paper	NOUN
cana-3288	17	8	is	be	AUX
cana-3288	17	9	to	to	PART
cana-3288	17	10	enhance	enhance	VERB
cana-3288	17	11	iot	iot	ADJ
cana-3288	17	12	security	security	NOUN
cana-3288	17	13	by	by	ADP
cana-3288	17	14	integrating	integrate	VERB
cana-3288	17	15	ldpcoptimized	ldpcoptimize	VERB
cana-3288	17	16	niederreiter	niederreiter	ADJ
cana-3288	17	17	cryptosystems	cryptosystem	NOUN
cana-3288	17	18	for	for	ADP
cana-3288	17	19	quantum	quantum	ADJ
cana-3288	17	20	resilience	resilience	NOUN
cana-3288	17	21	.	.	PUNCT
cana-3288	18	1	it	it	PRON
cana-3288	18	2	aims	aim	VERB
cana-3288	18	3	to	to	PART
cana-3288	18	4	reduce	reduce	VERB
cana-3288	18	5	key	key	ADJ
cana-3288	18	6	sizes	size	NOUN
cana-3288	18	7	,	,	PUNCT
cana-3288	18	8	improve	improve	VERB
cana-3288	18	9	decoding	decode	VERB
cana-3288	18	10	efficiency	efficiency	NOUN
cana-3288	18	11	,	,	PUNCT
cana-3288	18	12	and	and	CCONJ
cana-3288	18	13	ensure	ensure	VERB
cana-3288	18	14	lightweight	lightweight	ADJ
cana-3288	18	15	cryptographic	cryptographic	ADJ
cana-3288	18	16	solutions	solution	NOUN
cana-3288	18	17	suitable	suitable	ADJ
cana-3288	18	18	for	for	ADP
cana-3288	18	19	resource	resource	NOUN
cana-3288	18	20	-	-	PUNCT
cana-3288	18	21	constrained	constrain	VERB
cana-3288	18	22	iot	iot	NOUN
cana-3288	18	23	devices	device	NOUN
cana-3288	18	24	.	.	PUNCT
cana-3288	19	1	the	the	DET
cana-3288	19	2	proposed	propose	VERB
cana-3288	19	3	framework	framework	NOUN
cana-3288	19	4	seeks	seek	VERB
cana-3288	19	5	to	to	PART
cana-3288	19	6	balance	balance	VERB
cana-3288	19	7	efficiency	efficiency	NOUN
cana-3288	19	8	,	,	PUNCT
cana-3288	19	9	scalability	scalability	NOUN
cana-3288	19	10	,	,	PUNCT
cana-3288	19	11	and	and	CCONJ
cana-3288	19	12	robust	robust	ADJ
cana-3288	19	13	protection	protection	NOUN
cana-3288	19	14	against	against	ADP
cana-3288	19	15	quantum	quantum	NOUN
cana-3288	19	16	computing	computing	NOUN
cana-3288	19	17	threats	threat	NOUN
cana-3288	19	18	..	..	PUNCT
cana-3288	20	1	methods	method	NOUN
cana-3288	20	2	:	:	PUNCT
cana-3288	20	3	the	the	DET
cana-3288	20	4	paper	paper	NOUN
cana-3288	20	5	employs	employ	VERB
cana-3288	20	6	low	low	ADJ
cana-3288	20	7	-	-	PUNCT
cana-3288	20	8	density	density	NOUN
cana-3288	20	9	parity	parity	NOUN
cana-3288	20	10	-	-	PUNCT
cana-3288	20	11	check	check	NOUN
cana-3288	20	12	(	(	PUNCT
cana-3288	20	13	ldpc	ldpc	NOUN
cana-3288	20	14	)	)	PUNCT
cana-3288	20	15	codes	code	NOUN
cana-3288	20	16	within	within	ADP
cana-3288	20	17	the	the	DET
cana-3288	20	18	niederreiter	niederreiter	NOUN
cana-3288	20	19	cryptosystem	cryptosystem	NOUN
cana-3288	20	20	to	to	PART
cana-3288	20	21	enhance	enhance	VERB
cana-3288	20	22	quantum	quantum	ADJ
cana-3288	20	23	resilience	resilience	NOUN
cana-3288	20	24	for	for	ADP
cana-3288	20	25	iot	iot	ADJ
cana-3288	20	26	security	security	NOUN
cana-3288	20	27	.	.	PUNCT
cana-3288	21	1	ldpc	ldpc	NOUN
cana-3288	21	2	codes	code	NOUN
cana-3288	21	3	are	be	AUX
cana-3288	21	4	optimized	optimize	VERB
cana-3288	21	5	for	for	ADP
cana-3288	21	6	reduced	reduce	VERB
cana-3288	21	7	key	key	ADJ
cana-3288	21	8	size	size	NOUN
cana-3288	21	9	and	and	CCONJ
cana-3288	21	10	efficient	efficient	ADJ
cana-3288	21	11	error	error	NOUN
cana-3288	21	12	correction	correction	NOUN
cana-3288	21	13	,	,	PUNCT
cana-3288	21	14	while	while	SCONJ
cana-3288	21	15	iterative	iterative	ADJ
cana-3288	21	16	decoding	decode	VERB
cana-3288	21	17	communications	communication	NOUN
cana-3288	21	18	on	on	ADP
cana-3288	21	19	applied	apply	VERB
cana-3288	21	20	nonlinear	nonlinear	ADJ
cana-3288	21	21	analysis	analysis	NOUN
cana-3288	21	22	issn	issn	NOUN
cana-3288	21	23	:	:	PUNCT
cana-3288	21	24	1074	1074	NUM
cana-3288	21	25	-	-	PUNCT
cana-3288	21	26	133x	133x	NUM
cana-3288	21	27	vol	vol	NOUN
cana-3288	21	28	32	32	NUM
cana-3288	21	29	no	no	NOUN
cana-3288	21	30	.	.	PUNCT
cana-3288	22	1	6s	6s	NUM
cana-3288	22	2	(	(	PUNCT
cana-3288	22	3	2025	2025	NUM
cana-3288	22	4	)	)	PUNCT
cana-3288	22	5	216	216	NUM
cana-3288	22	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3288	22	7	algorithms	algorithm	NOUN
cana-3288	22	8	ensure	ensure	VERB
cana-3288	22	9	lightweight	lightweight	ADJ
cana-3288	22	10	operations	operation	NOUN
cana-3288	22	11	for	for	ADP
cana-3288	22	12	resource	resource	NOUN
cana-3288	22	13	-	-	PUNCT
cana-3288	22	14	constrained	constrain	VERB
cana-3288	22	15	devices	device	NOUN
cana-3288	22	16	.	.	PUNCT
cana-3288	23	1	the	the	DET
cana-3288	23	2	proposed	propose	VERB
cana-3288	23	3	method	method	NOUN
cana-3288	23	4	is	be	AUX
cana-3288	23	5	tested	test	VERB
cana-3288	23	6	for	for	ADP
cana-3288	23	7	its	its	PRON
cana-3288	23	8	robustness	robustness	NOUN
cana-3288	23	9	against	against	ADP
cana-3288	23	10	quantum	quantum	NOUN
cana-3288	23	11	attacks	attack	NOUN
cana-3288	23	12	and	and	CCONJ
cana-3288	23	13	its	its	PRON
cana-3288	23	14	practicality	practicality	NOUN
cana-3288	23	15	in	in	ADP
cana-3288	23	16	iot	iot	ADJ
cana-3288	23	17	environments	environment	NOUN
cana-3288	23	18	.	.	PUNCT
cana-3288	24	1	sollicitudin	sollicitudin	VERB
cana-3288	24	2	.	.	PUNCT
cana-3288	25	1	turpis	turpis	NOUN
cana-3288	25	2	egestas	egesta	NOUN
cana-3288	25	3	integer	integer	PROPN
cana-3288	25	4	eget	eget	PROPN
cana-3288	25	5	aliquet	aliquet	PROPN
cana-3288	25	6	nibh	nibh	PROPN
cana-3288	25	7	praesent	praesent	PROPN
cana-3288	25	8	tristique	tristique	NOUN
cana-3288	25	9	magna	magna	PROPN
cana-3288	25	10	.	.	PUNCT
cana-3288	26	1	libero	libero	PROPN
cana-3288	26	2	justo	justo	PROPN
cana-3288	26	3	laoreet	laoreet	PROPN
cana-3288	26	4	sit	sit	PROPN
cana-3288	26	5	amet	amet	PROPN
cana-3288	26	6	cursus	cursus	PROPN
cana-3288	26	7	sit	sit	PROPN
cana-3288	26	8	amet	amet	PROPN
cana-3288	26	9	dictum	dictum	PROPN
cana-3288	26	10	.	.	PUNCT
cana-3288	27	1	results	result	NOUN
cana-3288	27	2	:	:	PUNCT
cana-3288	27	3	the	the	DET
cana-3288	27	4	proposed	propose	VERB
cana-3288	27	5	ldpc	ldpc	NOUN
cana-3288	27	6	-	-	PUNCT
cana-3288	27	7	optimized	optimize	VERB
cana-3288	27	8	niederreiter	niederreiter	NOUN
cana-3288	27	9	cryptosystem	cryptosystem	NOUN
cana-3288	27	10	demonstrates	demonstrate	VERB
cana-3288	27	11	significant	significant	ADJ
cana-3288	27	12	improvements	improvement	NOUN
cana-3288	27	13	in	in	ADP
cana-3288	27	14	quantum	quantum	ADJ
cana-3288	27	15	resilience	resilience	NOUN
cana-3288	27	16	and	and	CCONJ
cana-3288	27	17	computational	computational	ADJ
cana-3288	27	18	efficiency	efficiency	NOUN
cana-3288	27	19	for	for	ADP
cana-3288	27	20	iot	iot	ADJ
cana-3288	27	21	security	security	NOUN
cana-3288	27	22	.	.	PUNCT
cana-3288	28	1	simulation	simulation	NOUN
cana-3288	28	2	results	result	NOUN
cana-3288	28	3	show	show	VERB
cana-3288	28	4	a	a	DET
cana-3288	28	5	substantial	substantial	ADJ
cana-3288	28	6	reduction	reduction	NOUN
cana-3288	28	7	in	in	ADP
cana-3288	28	8	key	key	ADJ
cana-3288	28	9	size	size	NOUN
cana-3288	28	10	and	and	CCONJ
cana-3288	28	11	decoding	decode	VERB
cana-3288	28	12	latency	latency	NOUN
cana-3288	28	13	without	without	ADP
cana-3288	28	14	compromising	compromise	VERB
cana-3288	28	15	security	security	NOUN
cana-3288	28	16	.	.	PUNCT
cana-3288	29	1	the	the	DET
cana-3288	29	2	system	system	NOUN
cana-3288	29	3	effectively	effectively	ADV
cana-3288	29	4	withstands	withstand	VERB
cana-3288	29	5	quantum	quantum	NOUN
cana-3288	29	6	-	-	PUNCT
cana-3288	29	7	based	base	VERB
cana-3288	29	8	attacks	attack	NOUN
cana-3288	29	9	while	while	SCONJ
cana-3288	29	10	maintaining	maintain	VERB
cana-3288	29	11	compatibility	compatibility	NOUN
cana-3288	29	12	with	with	ADP
cana-3288	29	13	resource	resource	NOUN
cana-3288	29	14	-	-	PUNCT
cana-3288	29	15	constrained	constrain	VERB
cana-3288	29	16	iot	iot	NOUN
cana-3288	29	17	devices	device	NOUN
cana-3288	29	18	..	..	PUNCT
cana-3288	29	19	conclusions	conclusion	NOUN
cana-3288	29	20	:	:	PUNCT
cana-3288	29	21	the	the	DET
cana-3288	29	22	ldpc	ldpc	NOUN
cana-3288	29	23	-	-	PUNCT
cana-3288	29	24	optimized	optimize	VERB
cana-3288	29	25	niederreiter	niederreiter	NOUN
cana-3288	29	26	cryptosystem	cryptosystem	NOUN
cana-3288	29	27	offers	offer	VERB
cana-3288	29	28	a	a	DET
cana-3288	29	29	robust	robust	ADJ
cana-3288	29	30	and	and	CCONJ
cana-3288	29	31	efficient	efficient	ADJ
cana-3288	29	32	solution	solution	NOUN
cana-3288	29	33	for	for	ADP
cana-3288	29	34	quantum	quantum	NOUN
cana-3288	29	35	-	-	ADJ
cana-3288	29	36	resilient	resilient	ADJ
cana-3288	29	37	iot	iot	ADJ
cana-3288	29	38	security	security	NOUN
cana-3288	29	39	,	,	PUNCT
cana-3288	29	40	addressing	address	VERB
cana-3288	29	41	the	the	DET
cana-3288	29	42	challenges	challenge	NOUN
cana-3288	29	43	of	of	ADP
cana-3288	29	44	key	key	ADJ
cana-3288	29	45	size	size	NOUN
cana-3288	29	46	and	and	CCONJ
cana-3288	29	47	decoding	decode	VERB
cana-3288	29	48	efficiency	efficiency	NOUN
cana-3288	29	49	.	.	PUNCT
cana-3288	30	1	the	the	DET
cana-3288	30	2	proposed	propose	VERB
cana-3288	30	3	approach	approach	NOUN
cana-3288	30	4	ensures	ensure	VERB
cana-3288	30	5	strong	strong	ADJ
cana-3288	30	6	protection	protection	NOUN
cana-3288	30	7	against	against	ADP
cana-3288	30	8	quantum	quantum	NOUN
cana-3288	30	9	attacks	attack	NOUN
cana-3288	30	10	while	while	SCONJ
cana-3288	30	11	remaining	remain	VERB
cana-3288	30	12	practical	practical	ADJ
cana-3288	30	13	for	for	ADP
cana-3288	30	14	resource	resource	NOUN
cana-3288	30	15	-	-	PUNCT
cana-3288	30	16	constrained	constrain	VERB
cana-3288	30	17	devices	device	NOUN
cana-3288	30	18	.	.	PUNCT
cana-3288	31	1	this	this	DET
cana-3288	31	2	work	work	NOUN
cana-3288	31	3	paves	pave	VERB
cana-3288	31	4	the	the	DET
cana-3288	31	5	way	way	NOUN
cana-3288	31	6	for	for	ADP
cana-3288	31	7	secure	secure	ADJ
cana-3288	31	8	and	and	CCONJ
cana-3288	31	9	scalable	scalable	ADJ
cana-3288	31	10	implementations	implementation	NOUN
cana-3288	31	11	in	in	ADP
cana-3288	31	12	next	next	ADJ
cana-3288	31	13	-	-	PUNCT
cana-3288	31	14	generation	generation	NOUN
cana-3288	31	15	iot	iot	NOUN
cana-3288	31	16	networks	network	NOUN
cana-3288	31	17	.	.	PUNCT
cana-3288	32	1	keywords	keyword	NOUN
cana-3288	32	2	:	:	PUNCT
cana-3288	32	3	niederreiter	niederreiter	PROPN
cana-3288	32	4	cryptosystem	cryptosystem	NOUN
cana-3288	32	5	,	,	PUNCT
cana-3288	32	6	ldpc	ldpc	NOUN
cana-3288	32	7	codes	code	NOUN
cana-3288	32	8	,	,	PUNCT
cana-3288	32	9	large	large	ADJ
cana-3288	32	10	-	-	PUNCT
cana-3288	32	11	scale	scale	NOUN
cana-3288	32	12	communications	communication	NOUN
cana-3288	32	13	,	,	PUNCT
cana-3288	32	14	sparse	sparse	ADJ
cana-3288	32	15	code	code	NOUN
cana-3288	32	16	structures	structure	NOUN
cana-3288	32	17	,	,	PUNCT
cana-3288	32	18	lightweight	lightweight	ADJ
cana-3288	32	19	cryptographic	cryptographic	ADJ
cana-3288	32	20	solutions	solution	NOUN
cana-3288	32	21	,	,	PUNCT
cana-3288	32	22	error	error	NOUN
cana-3288	32	23	-	-	PUNCT
cana-3288	32	24	correcting	correct	VERB
cana-3288	32	25	codes	code	NOUN
cana-3288	32	26	.	.	PUNCT
cana-3288	33	1	1	1	X
cana-3288	33	2	.	.	X
cana-3288	33	3	introduction	introduction	NOUN
cana-3288	33	4	post	post	ADJ
cana-3288	33	5	-	-	ADJ
cana-3288	33	6	quantum	quantum	ADJ
cana-3288	33	7	cryptography	cryptography	NOUN
cana-3288	33	8	is	be	AUX
cana-3288	33	9	emerging	emerge	VERB
cana-3288	33	10	as	as	ADP
cana-3288	33	11	a	a	DET
cana-3288	33	12	critical	critical	ADJ
cana-3288	33	13	field	field	NOUN
cana-3288	33	14	,	,	PUNCT
cana-3288	33	15	especially	especially	ADV
cana-3288	33	16	in	in	ADP
cana-3288	33	17	the	the	DET
cana-3288	33	18	wake	wake	NOUN
cana-3288	33	19	of	of	ADP
cana-3288	33	20	increasing	increase	VERB
cana-3288	33	21	vulnerabilities	vulnerability	NOUN
cana-3288	33	22	posed	pose	VERB
cana-3288	33	23	by	by	ADP
cana-3288	33	24	quantum	quantum	NOUN
cana-3288	33	25	computing	computing	NOUN
cana-3288	33	26	.	.	PUNCT
cana-3288	34	1	among	among	ADP
cana-3288	34	2	these	these	PRON
cana-3288	34	3	,	,	PUNCT
cana-3288	34	4	code	code	NOUN
cana-3288	34	5	-	-	PUNCT
cana-3288	34	6	based	base	VERB
cana-3288	34	7	cryptosystems	cryptosystem	NOUN
cana-3288	34	8	like	like	ADP
cana-3288	34	9	the	the	DET
cana-3288	34	10	niederreiter	niederreiter	NOUN
cana-3288	34	11	cryptosystem	cryptosystem	NOUN
cana-3288	34	12	are	be	AUX
cana-3288	34	13	prominent	prominent	ADJ
cana-3288	34	14	due	due	ADP
cana-3288	34	15	to	to	ADP
cana-3288	34	16	their	their	PRON
cana-3288	34	17	strong	strong	ADJ
cana-3288	34	18	resistance	resistance	NOUN
cana-3288	34	19	to	to	ADP
cana-3288	34	20	quantum	quantum	ADJ
cana-3288	34	21	attacks	attack	NOUN
cana-3288	34	22	.	.	PUNCT
cana-3288	35	1	however	however	ADV
cana-3288	35	2	,	,	PUNCT
cana-3288	35	3	practical	practical	ADJ
cana-3288	35	4	challenges	challenge	NOUN
cana-3288	35	5	such	such	ADJ
cana-3288	35	6	as	as	ADP
cana-3288	35	7	large	large	ADJ
cana-3288	35	8	key	key	ADJ
cana-3288	35	9	sizes	size	NOUN
cana-3288	35	10	,	,	PUNCT
cana-3288	35	11	decoding	decode	VERB
cana-3288	35	12	inefficiencies	inefficiency	NOUN
cana-3288	35	13	,	,	PUNCT
cana-3288	35	14	and	and	CCONJ
cana-3288	35	15	implementation	implementation	NOUN
cana-3288	35	16	constraints	constraint	NOUN
cana-3288	35	17	limit	limit	VERB
cana-3288	35	18	their	their	PRON
cana-3288	35	19	usability	usability	NOUN
cana-3288	35	20	in	in	ADP
cana-3288	35	21	real	real	ADJ
cana-3288	35	22	-	-	PUNCT
cana-3288	35	23	world	world	NOUN
cana-3288	35	24	applications	application	NOUN
cana-3288	35	25	,	,	PUNCT
cana-3288	35	26	particularly	particularly	ADV
cana-3288	35	27	in	in	ADP
cana-3288	35	28	resource	resource	NOUN
cana-3288	35	29	-	-	PUNCT
cana-3288	35	30	constrained	constrain	VERB
cana-3288	35	31	environments	environment	NOUN
cana-3288	35	32	like	like	ADP
cana-3288	35	33	iot	iot	NOUN
cana-3288	35	34	and	and	CCONJ
cana-3288	35	35	mobile	mobile	ADJ
cana-3288	35	36	networks	network	NOUN
cana-3288	35	37	.	.	PUNCT
cana-3288	36	1	low	low	ADJ
cana-3288	36	2	-	-	PUNCT
cana-3288	36	3	density	density	NOUN
cana-3288	36	4	parity	parity	NOUN
cana-3288	36	5	-	-	PUNCT
cana-3288	36	6	check	check	NOUN
cana-3288	36	7	(	(	PUNCT
cana-3288	36	8	ldpc	ldpc	NOUN
cana-3288	36	9	)	)	PUNCT
cana-3288	36	10	codes	code	NOUN
cana-3288	36	11	,	,	PUNCT
cana-3288	36	12	known	know	VERB
cana-3288	36	13	for	for	ADP
cana-3288	36	14	their	their	PRON
cana-3288	36	15	efficient	efficient	ADJ
cana-3288	36	16	error	error	NOUN
cana-3288	36	17	-	-	PUNCT
cana-3288	36	18	correcting	correct	VERB
cana-3288	36	19	capabilities	capability	NOUN
cana-3288	36	20	,	,	PUNCT
cana-3288	36	21	provide	provide	VERB
cana-3288	36	22	a	a	DET
cana-3288	36	23	promising	promising	ADJ
cana-3288	36	24	avenue	avenue	NOUN
cana-3288	36	25	for	for	ADP
cana-3288	36	26	addressing	address	VERB
cana-3288	36	27	these	these	DET
cana-3288	36	28	challenges	challenge	NOUN
cana-3288	36	29	.	.	PUNCT
cana-3288	37	1	integrating	integrate	VERB
cana-3288	37	2	ldpc	ldpc	NOUN
cana-3288	37	3	codes	code	NOUN
cana-3288	37	4	into	into	ADP
cana-3288	37	5	the	the	DET
cana-3288	37	6	niederreiter	niederreiter	NOUN
cana-3288	37	7	cryptosystem	cryptosystem	NOUN
cana-3288	37	8	offers	offer	VERB
cana-3288	37	9	the	the	DET
cana-3288	37	10	potential	potential	NOUN
cana-3288	37	11	to	to	PART
cana-3288	37	12	optimize	optimize	VERB
cana-3288	37	13	its	its	PRON
cana-3288	37	14	performance	performance	NOUN
cana-3288	37	15	,	,	PUNCT
cana-3288	37	16	reduce	reduce	VERB
cana-3288	37	17	resource	resource	NOUN
cana-3288	37	18	requirements	requirement	NOUN
cana-3288	37	19	,	,	PUNCT
cana-3288	37	20	and	and	CCONJ
cana-3288	37	21	enhance	enhance	VERB
cana-3288	37	22	its	its	PRON
cana-3288	37	23	practicality	practicality	NOUN
cana-3288	37	24	while	while	SCONJ
cana-3288	37	25	maintaining	maintain	VERB
cana-3288	37	26	robust	robust	ADJ
cana-3288	37	27	security.problem	security.problem	NOUN
cana-3288	37	28	statement	statement	NOUN
cana-3288	37	29	despite	despite	SCONJ
cana-3288	37	30	significant	significant	ADJ
cana-3288	37	31	advancements	advancement	NOUN
cana-3288	37	32	,	,	PUNCT
cana-3288	37	33	the	the	DET
cana-3288	37	34	niederreiter	niederreiter	NOUN
cana-3288	37	35	cryptosystem	cryptosystem	NOUN
cana-3288	37	36	faces	face	VERB
cana-3288	37	37	challenges	challenge	NOUN
cana-3288	37	38	in	in	ADP
cana-3288	37	39	real	real	ADJ
cana-3288	37	40	-	-	PUNCT
cana-3288	37	41	world	world	NOUN
cana-3288	37	42	deployment	deployment	NOUN
cana-3288	37	43	:	:	PUNCT
cana-3288	37	44	1	1	X
cana-3288	37	45	.	.	X
cana-3288	37	46	large	large	ADJ
cana-3288	37	47	key	key	ADJ
cana-3288	37	48	sizes	size	NOUN
cana-3288	37	49	:	:	PUNCT
cana-3288	37	50	current	current	ADJ
cana-3288	37	51	implementations	implementation	NOUN
cana-3288	37	52	often	often	ADV
cana-3288	37	53	demand	demand	VERB
cana-3288	37	54	excessive	excessive	ADJ
cana-3288	37	55	memory	memory	NOUN
cana-3288	37	56	,	,	PUNCT
cana-3288	37	57	limiting	limit	VERB
cana-3288	37	58	their	their	PRON
cana-3288	37	59	feasibility	feasibility	NOUN
cana-3288	37	60	for	for	ADP
cana-3288	37	61	constrained	constrained	ADJ
cana-3288	37	62	environments	environment	NOUN
cana-3288	37	63	.	.	PUNCT
cana-3288	38	1	2	2	X
cana-3288	38	2	.	.	X
cana-3288	38	3	decoding	decode	VERB
cana-3288	38	4	inefficiencies	inefficiency	NOUN
cana-3288	38	5	:	:	PUNCT
cana-3288	38	6	standard	standard	ADJ
cana-3288	38	7	decoding	decode	VERB
cana-3288	38	8	mechanisms	mechanism	NOUN
cana-3288	38	9	can	can	AUX
cana-3288	38	10	be	be	AUX
cana-3288	38	11	computationally	computationally	ADV
cana-3288	38	12	intensive	intensive	ADJ
cana-3288	38	13	,	,	PUNCT
cana-3288	38	14	particularly	particularly	ADV
cana-3288	38	15	for	for	ADP
cana-3288	38	16	large	large	ADJ
cana-3288	38	17	-	-	PUNCT
cana-3288	38	18	scale	scale	NOUN
cana-3288	38	19	data	datum	NOUN
cana-3288	38	20	transmission	transmission	NOUN
cana-3288	38	21	.	.	PUNCT
cana-3288	39	1	scalability	scalability	NOUN
cana-3288	39	2	issues	issue	NOUN
cana-3288	39	3	:	:	PUNCT
cana-3288	39	4	ensuring	ensure	VERB
cana-3288	39	5	efficient	efficient	ADJ
cana-3288	39	6	performance	performance	NOUN
cana-3288	39	7	in	in	ADP
cana-3288	39	8	multi	multi	NOUN
cana-3288	39	9	-	-	NOUN
cana-3288	39	10	user	user	NOUN
cana-3288	39	11	and	and	CCONJ
cana-3288	39	12	distributed	distributed	ADJ
cana-3288	39	13	environments	environment	NOUN
cana-3288	39	14	remains	remain	VERB
cana-3288	39	15	a	a	DET
cana-3288	39	16	hurdle	hurdle	NOUN
cana-3288	39	17	.	.	PUNCT
cana-3288	40	1	objective	objective	ADJ
cana-3288	40	2	and	and	CCONJ
cana-3288	40	3	contributions	contribution	NOUN
cana-3288	40	4	this	this	DET
cana-3288	40	5	paper	paper	NOUN
cana-3288	40	6	proposes	propose	VERB
cana-3288	40	7	a	a	DET
cana-3288	40	8	novel	novel	ADJ
cana-3288	40	9	optimization	optimization	NOUN
cana-3288	40	10	of	of	ADP
cana-3288	40	11	the	the	DET
cana-3288	40	12	niederreiter	niederreiter	NOUN
cana-3288	40	13	cryptosystem	cryptosystem	NOUN
cana-3288	40	14	by	by	ADP
cana-3288	40	15	integrating	integrate	VERB
cana-3288	40	16	ldpc	ldpc	NOUN
cana-3288	40	17	codes	code	NOUN
cana-3288	40	18	.	.	PUNCT
cana-3288	41	1	the	the	DET
cana-3288	41	2	key	key	ADJ
cana-3288	41	3	contributions	contribution	NOUN
cana-3288	41	4	include	include	VERB
cana-3288	41	5	:	:	PUNCT
cana-3288	41	6	1	1	X
cana-3288	41	7	.	.	X
cana-3288	41	8	a	a	DET
cana-3288	41	9	lightweight	lightweight	ADJ
cana-3288	41	10	and	and	CCONJ
cana-3288	41	11	efficient	efficient	ADJ
cana-3288	41	12	key	key	ADJ
cana-3288	41	13	generation	generation	NOUN
cana-3288	41	14	mechanism	mechanism	NOUN
cana-3288	41	15	leveraging	leverage	VERB
cana-3288	41	16	the	the	DET
cana-3288	41	17	sparse	sparse	ADJ
cana-3288	41	18	structure	structure	NOUN
cana-3288	41	19	of	of	ADP
cana-3288	41	20	ldpc	ldpc	NOUN
cana-3288	41	21	matrices	matrix	NOUN
cana-3288	41	22	.	.	PUNCT
cana-3288	42	1	communications	communication	NOUN
cana-3288	42	2	on	on	ADP
cana-3288	42	3	applied	apply	VERB
cana-3288	42	4	nonlinear	nonlinear	ADJ
cana-3288	42	5	analysis	analysis	NOUN
cana-3288	42	6	issn	issn	NOUN
cana-3288	42	7	:	:	PUNCT
cana-3288	42	8	1074	1074	NUM
cana-3288	42	9	-	-	PUNCT
cana-3288	42	10	133x	133x	NUM
cana-3288	42	11	vol	vol	NOUN
cana-3288	42	12	32	32	NUM
cana-3288	42	13	no	no	NOUN
cana-3288	42	14	.	.	PUNCT
cana-3288	43	1	6s	6s	NUM
cana-3288	43	2	(	(	PUNCT
cana-3288	43	3	2025	2025	NUM
cana-3288	43	4	)	)	PUNCT
cana-3288	43	5	217	217	NUM
cana-3288	43	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3288	43	7	2	2	NUM
cana-3288	43	8	.	.	PUNCT
cana-3288	43	9	a	a	DET
cana-3288	43	10	novel	novel	NOUN
cana-3288	43	11	decoding	decode	VERB
cana-3288	43	12	algorithm	algorithm	NOUN
cana-3288	43	13	designed	design	VERB
cana-3288	43	14	to	to	PART
cana-3288	43	15	minimize	minimize	VERB
cana-3288	43	16	computational	computational	ADJ
cana-3288	43	17	overhead	overhead	NOUN
cana-3288	43	18	while	while	SCONJ
cana-3288	43	19	improving	improve	VERB
cana-3288	43	20	error	error	NOUN
cana-3288	43	21	correction	correction	NOUN
cana-3288	43	22	performance	performance	NOUN
cana-3288	43	23	.	.	PUNCT
cana-3288	44	1	3	3	X
cana-3288	44	2	.	.	X
cana-3288	44	3	a	a	DET
cana-3288	44	4	comprehensive	comprehensive	ADJ
cana-3288	44	5	implementation	implementation	NOUN
cana-3288	44	6	and	and	CCONJ
cana-3288	44	7	evaluation	evaluation	NOUN
cana-3288	44	8	of	of	ADP
cana-3288	44	9	the	the	DET
cana-3288	44	10	optimized	optimize	VERB
cana-3288	44	11	cryptosystem	cryptosystem	NOUN
cana-3288	44	12	,	,	PUNCT
cana-3288	44	13	demonstrating	demonstrate	VERB
cana-3288	44	14	improvements	improvement	NOUN
cana-3288	44	15	in	in	ADP
cana-3288	44	16	key	key	ADJ
cana-3288	44	17	size	size	NOUN
cana-3288	44	18	,	,	PUNCT
cana-3288	44	19	encryption	encryption	NOUN
cana-3288	44	20	/	/	SYM
cana-3288	44	21	decryption	decryption	NOUN
cana-3288	44	22	times	time	NOUN
cana-3288	44	23	,	,	PUNCT
cana-3288	44	24	and	and	CCONJ
cana-3288	44	25	scalability	scalability	NOUN
cana-3288	44	26	.	.	PUNCT
cana-3288	45	1	4	4	X
cana-3288	45	2	.	.	X
cana-3288	45	3	a	a	DET
cana-3288	45	4	detailed	detailed	ADJ
cana-3288	45	5	security	security	NOUN
cana-3288	45	6	analysis	analysis	NOUN
cana-3288	45	7	ensuring	ensure	VERB
cana-3288	45	8	the	the	DET
cana-3288	45	9	cryptosystem	cryptosystem	NOUN
cana-3288	45	10	’s	’s	PART
cana-3288	45	11	robustness	robustness	NOUN
cana-3288	45	12	against	against	ADP
cana-3288	45	13	both	both	CCONJ
cana-3288	45	14	classical	classical	ADJ
cana-3288	45	15	and	and	CCONJ
cana-3288	45	16	quantum	quantum	ADJ
cana-3288	45	17	attacks	attack	NOUN
cana-3288	45	18	.	.	PUNCT
cana-3288	46	1	in	in	ADP
cana-3288	46	2	recent	recent	ADJ
cana-3288	46	3	years	year	NOUN
cana-3288	46	4	,	,	PUNCT
cana-3288	46	5	the	the	DET
cana-3288	46	6	impending	impending	ADJ
cana-3288	46	7	advent	advent	NOUN
cana-3288	46	8	of	of	ADP
cana-3288	46	9	large	large	ADJ
cana-3288	46	10	-	-	PUNCT
cana-3288	46	11	scale	scale	NOUN
cana-3288	46	12	quantum	quantum	NOUN
cana-3288	46	13	computers	computer	NOUN
cana-3288	46	14	has	have	AUX
cana-3288	46	15	posed	pose	VERB
cana-3288	46	16	a	a	DET
cana-3288	46	17	serious	serious	ADJ
cana-3288	46	18	threat	threat	NOUN
cana-3288	46	19	to	to	ADP
cana-3288	46	20	classical	classical	ADJ
cana-3288	46	21	cryptographic	cryptographic	ADJ
cana-3288	46	22	systems	system	NOUN
cana-3288	46	23	,	,	PUNCT
cana-3288	46	24	particularly	particularly	ADV
cana-3288	46	25	those	those	PRON
cana-3288	46	26	based	base	VERB
cana-3288	46	27	on	on	ADP
cana-3288	46	28	number	number	NOUN
cana-3288	46	29	-	-	PUNCT
cana-3288	46	30	theoretic	theoretic	NOUN
cana-3288	46	31	problems	problem	NOUN
cana-3288	46	32	such	such	ADJ
cana-3288	46	33	as	as	ADP
cana-3288	46	34	rsa	rsa	NOUN
cana-3288	46	35	and	and	CCONJ
cana-3288	46	36	elliptic	elliptic	ADJ
cana-3288	46	37	curve	curve	NOUN
cana-3288	46	38	cryptography	cryptography	NOUN
cana-3288	46	39	.	.	PUNCT
cana-3288	47	1	these	these	DET
cana-3288	47	2	systems	system	NOUN
cana-3288	47	3	are	be	AUX
cana-3288	47	4	vulnerable	vulnerable	ADJ
cana-3288	47	5	to	to	ADP
cana-3288	47	6	quantum	quantum	ADJ
cana-3288	47	7	algorithms	algorithm	NOUN
cana-3288	47	8	,	,	PUNCT
cana-3288	47	9	including	include	VERB
cana-3288	47	10	shor	shor	PROPN
cana-3288	47	11	’s	’s	PART
cana-3288	47	12	and	and	CCONJ
cana-3288	47	13	grover	grover	PROPN
cana-3288	47	14	’s	’s	PART
cana-3288	47	15	algorithms	algorithm	NOUN
cana-3288	47	16	,	,	PUNCT
cana-3288	47	17	which	which	PRON
cana-3288	47	18	can	can	AUX
cana-3288	47	19	efficiently	efficiently	ADV
cana-3288	47	20	break	break	VERB
cana-3288	47	21	the	the	DET
cana-3288	47	22	underlying	underlying	ADJ
cana-3288	47	23	mathematical	mathematical	ADJ
cana-3288	47	24	assumptions	assumption	NOUN
cana-3288	47	25	.	.	PUNCT
cana-3288	48	1	postquantum	postquantum	NOUN
cana-3288	48	2	cryptography	cryptography	NOUN
cana-3288	48	3	(	(	PUNCT
cana-3288	48	4	pqc	pqc	NOUN
cana-3288	48	5	)	)	PUNCT
cana-3288	48	6	seeks	seek	VERB
cana-3288	48	7	to	to	PART
cana-3288	48	8	develop	develop	VERB
cana-3288	48	9	cryptographic	cryptographic	ADJ
cana-3288	48	10	protocols	protocol	NOUN
cana-3288	48	11	that	that	PRON
cana-3288	48	12	are	be	AUX
cana-3288	48	13	resistant	resistant	ADJ
cana-3288	48	14	to	to	ADP
cana-3288	48	15	quantum	quantum	ADJ
cana-3288	48	16	attacks	attack	NOUN
cana-3288	48	17	,	,	PUNCT
cana-3288	48	18	ensuring	ensure	VERB
cana-3288	48	19	the	the	DET
cana-3288	48	20	security	security	NOUN
cana-3288	48	21	of	of	ADP
cana-3288	48	22	data	datum	NOUN
cana-3288	48	23	and	and	CCONJ
cana-3288	48	24	communications	communication	NOUN
cana-3288	48	25	in	in	ADP
cana-3288	48	26	a	a	DET
cana-3288	48	27	quantum	quantum	NOUN
cana-3288	48	28	computing	computing	NOUN
cana-3288	48	29	era	era	NOUN
cana-3288	48	30	.	.	PUNCT
cana-3288	49	1	among	among	ADP
cana-3288	49	2	the	the	DET
cana-3288	49	3	various	various	ADJ
cana-3288	49	4	post	post	ADJ
cana-3288	49	5	-	-	ADJ
cana-3288	49	6	quantum	quantum	ADJ
cana-3288	49	7	candidates	candidate	NOUN
cana-3288	49	8	,	,	PUNCT
cana-3288	49	9	code	code	NOUN
cana-3288	49	10	-	-	PUNCT
cana-3288	49	11	based	base	VERB
cana-3288	49	12	cryptographic	cryptographic	ADJ
cana-3288	49	13	systems	system	NOUN
cana-3288	49	14	have	have	AUX
cana-3288	49	15	garnered	garner	VERB
cana-3288	49	16	significant	significant	ADJ
cana-3288	49	17	attention	attention	NOUN
cana-3288	49	18	due	due	ADP
cana-3288	49	19	to	to	ADP
cana-3288	49	20	their	their	PRON
cana-3288	49	21	well	well	ADV
cana-3288	49	22	-	-	PUNCT
cana-3288	49	23	established	establish	VERB
cana-3288	49	24	security	security	NOUN
cana-3288	49	25	properties	property	NOUN
cana-3288	49	26	and	and	CCONJ
cana-3288	49	27	resistance	resistance	NOUN
cana-3288	49	28	to	to	ADP
cana-3288	49	29	quantum	quantum	NOUN
cana-3288	49	30	attacks	attack	NOUN
cana-3288	49	31	.	.	PUNCT
cana-3288	50	1	the	the	DET
cana-3288	50	2	niederreiter	niederreiter	NOUN
cana-3288	50	3	cryptosystem	cryptosystem	NOUN
cana-3288	50	4	,	,	PUNCT
cana-3288	50	5	introduced	introduce	VERB
cana-3288	50	6	in	in	ADP
cana-3288	50	7	1986	1986	NUM
cana-3288	50	8	,	,	PUNCT
cana-3288	50	9	is	be	AUX
cana-3288	50	10	a	a	DET
cana-3288	50	11	prominent	prominent	ADJ
cana-3288	50	12	code	code	NOUN
cana-3288	50	13	-	-	PUNCT
cana-3288	50	14	based	base	VERB
cana-3288	50	15	cryptosystem	cryptosystem	NOUN
cana-3288	50	16	known	know	VERB
cana-3288	50	17	for	for	ADP
cana-3288	50	18	its	its	PRON
cana-3288	50	19	reliance	reliance	NOUN
cana-3288	50	20	on	on	ADP
cana-3288	50	21	error	error	NOUN
cana-3288	50	22	-	-	PUNCT
cana-3288	50	23	correcting	correct	VERB
cana-3288	50	24	codes	code	NOUN
cana-3288	50	25	,	,	PUNCT
cana-3288	50	26	particularly	particularly	ADV
cana-3288	50	27	binary	binary	PROPN
cana-3288	50	28	goppa	goppa	PROPN
cana-3288	50	29	codes	code	NOUN
cana-3288	50	30	,	,	PUNCT
cana-3288	50	31	to	to	PART
cana-3288	50	32	provide	provide	VERB
cana-3288	50	33	secure	secure	ADJ
cana-3288	50	34	encryption	encryption	NOUN
cana-3288	50	35	.	.	PUNCT
cana-3288	51	1	it	it	PRON
cana-3288	51	2	is	be	AUX
cana-3288	51	3	considered	consider	VERB
cana-3288	51	4	a	a	DET
cana-3288	51	5	strong	strong	ADJ
cana-3288	51	6	candidate	candidate	NOUN
cana-3288	51	7	for	for	ADP
cana-3288	51	8	post	post	ADJ
cana-3288	51	9	-	-	ADJ
cana-3288	51	10	quantum	quantum	ADJ
cana-3288	51	11	cryptography	cryptography	NOUN
cana-3288	51	12	due	due	ADP
cana-3288	51	13	to	to	ADP
cana-3288	51	14	its	its	PRON
cana-3288	51	15	resistance	resistance	NOUN
cana-3288	51	16	to	to	ADP
cana-3288	51	17	quantum	quantum	ADJ
cana-3288	51	18	computing	computing	NOUN
cana-3288	51	19	attacks	attack	NOUN
cana-3288	51	20	.	.	PUNCT
cana-3288	52	1	however	however	ADV
cana-3288	52	2	,	,	PUNCT
cana-3288	52	3	the	the	DET
cana-3288	52	4	traditional	traditional	ADJ
cana-3288	52	5	niederreiter	niederreiter	NOUN
cana-3288	52	6	system	system	NOUN
cana-3288	52	7	suffers	suffer	VERB
cana-3288	52	8	from	from	ADP
cana-3288	52	9	several	several	ADJ
cana-3288	52	10	limitations	limitation	NOUN
cana-3288	52	11	,	,	PUNCT
cana-3288	52	12	notably	notably	ADV
cana-3288	52	13	the	the	DET
cana-3288	52	14	large	large	ADJ
cana-3288	52	15	key	key	ADJ
cana-3288	52	16	sizes	size	NOUN
cana-3288	52	17	required	require	VERB
cana-3288	52	18	for	for	ADP
cana-3288	52	19	secure	secure	ADJ
cana-3288	52	20	encryption	encryption	NOUN
cana-3288	52	21	,	,	PUNCT
cana-3288	52	22	which	which	PRON
cana-3288	52	23	can	can	AUX
cana-3288	52	24	lead	lead	VERB
cana-3288	52	25	to	to	ADP
cana-3288	52	26	impractical	impractical	ADJ
cana-3288	52	27	storage	storage	NOUN
cana-3288	52	28	and	and	CCONJ
cana-3288	52	29	transmission	transmission	NOUN
cana-3288	52	30	overheads	overhead	NOUN
cana-3288	52	31	.	.	PUNCT
cana-3288	53	1	additionally	additionally	ADV
cana-3288	53	2	,	,	PUNCT
cana-3288	53	3	the	the	DET
cana-3288	53	4	computational	computational	ADJ
cana-3288	53	5	resources	resource	NOUN
cana-3288	53	6	required	require	VERB
cana-3288	53	7	for	for	ADP
cana-3288	53	8	encoding	encode	VERB
cana-3288	53	9	and	and	CCONJ
cana-3288	53	10	decoding	decode	VERB
cana-3288	53	11	make	make	VERB
cana-3288	53	12	it	it	PRON
cana-3288	53	13	less	less	ADV
cana-3288	53	14	suitable	suitable	ADJ
cana-3288	53	15	for	for	ADP
cana-3288	53	16	resource	resource	NOUN
cana-3288	53	17	-	-	PUNCT
cana-3288	53	18	constrained	constrain	VERB
cana-3288	53	19	environments	environment	NOUN
cana-3288	53	20	,	,	PUNCT
cana-3288	53	21	such	such	ADJ
cana-3288	53	22	as	as	ADP
cana-3288	53	23	the	the	DET
cana-3288	53	24	internet	internet	NOUN
cana-3288	53	25	of	of	ADP
cana-3288	53	26	things	thing	NOUN
cana-3288	53	27	(	(	PUNCT
cana-3288	53	28	iot	iot	NOUN
cana-3288	53	29	)	)	PUNCT
cana-3288	53	30	,	,	PUNCT
cana-3288	53	31	where	where	SCONJ
cana-3288	53	32	devices	device	NOUN
cana-3288	53	33	have	have	VERB
cana-3288	53	34	limited	limit	VERB
cana-3288	53	35	memory	memory	NOUN
cana-3288	53	36	and	and	CCONJ
cana-3288	53	37	processing	processing	NOUN
cana-3288	53	38	power	power	NOUN
cana-3288	53	39	.	.	PUNCT
cana-3288	54	1	to	to	PART
cana-3288	54	2	address	address	VERB
cana-3288	54	3	these	these	DET
cana-3288	54	4	challenges	challenge	NOUN
cana-3288	54	5	,	,	PUNCT
cana-3288	54	6	this	this	DET
cana-3288	54	7	paper	paper	NOUN
cana-3288	54	8	explores	explore	VERB
cana-3288	54	9	the	the	DET
cana-3288	54	10	integration	integration	NOUN
cana-3288	54	11	of	of	ADP
cana-3288	54	12	low	low	ADJ
cana-3288	54	13	-	-	PUNCT
cana-3288	54	14	density	density	NOUN
cana-3288	54	15	parity	parity	NOUN
cana-3288	54	16	-	-	PUNCT
cana-3288	54	17	check	check	NOUN
cana-3288	54	18	(	(	PUNCT
cana-3288	54	19	ldpc	ldpc	NOUN
cana-3288	54	20	)	)	PUNCT
cana-3288	54	21	codes	code	NOUN
cana-3288	54	22	into	into	ADP
cana-3288	54	23	the	the	DET
cana-3288	54	24	niederreiter	niederreiter	NOUN
cana-3288	54	25	cryptosystem	cryptosystem	NOUN
cana-3288	54	26	.	.	PUNCT
cana-3288	55	1	ldpc	ldpc	NOUN
cana-3288	55	2	codes	code	NOUN
cana-3288	55	3	are	be	AUX
cana-3288	55	4	a	a	DET
cana-3288	55	5	class	class	NOUN
cana-3288	55	6	of	of	ADP
cana-3288	55	7	error	error	NOUN
cana-3288	55	8	-	-	PUNCT
cana-3288	55	9	correcting	correct	VERB
cana-3288	55	10	codes	code	NOUN
cana-3288	55	11	characterized	characterize	VERB
cana-3288	55	12	by	by	ADP
cana-3288	55	13	sparse	sparse	ADJ
cana-3288	55	14	parity	parity	NOUN
cana-3288	55	15	-	-	PUNCT
cana-3288	55	16	check	check	NOUN
cana-3288	55	17	matrices	matrix	NOUN
cana-3288	55	18	,	,	PUNCT
cana-3288	55	19	which	which	PRON
cana-3288	55	20	allow	allow	VERB
cana-3288	55	21	for	for	ADP
cana-3288	55	22	highly	highly	ADV
cana-3288	55	23	efficient	efficient	ADJ
cana-3288	55	24	decoding	decode	VERB
cana-3288	55	25	through	through	ADP
cana-3288	55	26	iterative	iterative	NOUN
cana-3288	55	27	algorithms	algorithm	NOUN
cana-3288	55	28	such	such	ADJ
cana-3288	55	29	as	as	ADP
cana-3288	55	30	belief	belief	NOUN
cana-3288	55	31	propagation	propagation	NOUN
cana-3288	55	32	.	.	PUNCT
cana-3288	56	1	due	due	ADP
cana-3288	56	2	to	to	ADP
cana-3288	56	3	their	their	PRON
cana-3288	56	4	sparse	sparse	ADJ
cana-3288	56	5	structure	structure	NOUN
cana-3288	56	6	,	,	PUNCT
cana-3288	56	7	ldpc	ldpc	NOUN
cana-3288	56	8	codes	code	NOUN
cana-3288	56	9	offer	offer	VERB
cana-3288	56	10	significant	significant	ADJ
cana-3288	56	11	advantages	advantage	NOUN
cana-3288	56	12	in	in	ADP
cana-3288	56	13	terms	term	NOUN
cana-3288	56	14	of	of	ADP
cana-3288	56	15	reduced	reduce	VERB
cana-3288	56	16	key	key	ADJ
cana-3288	56	17	sizes	size	NOUN
cana-3288	56	18	and	and	CCONJ
cana-3288	56	19	computational	computational	ADJ
cana-3288	56	20	efficiency	efficiency	NOUN
cana-3288	56	21	,	,	PUNCT
cana-3288	56	22	making	make	VERB
cana-3288	56	23	them	they	PRON
cana-3288	56	24	an	an	DET
cana-3288	56	25	attractive	attractive	ADJ
cana-3288	56	26	option	option	NOUN
cana-3288	56	27	for	for	ADP
cana-3288	56	28	improving	improve	VERB
cana-3288	56	29	the	the	DET
cana-3288	56	30	performance	performance	NOUN
cana-3288	56	31	of	of	ADP
cana-3288	56	32	the	the	DET
cana-3288	56	33	niederreiter	niederreiter	NOUN
cana-3288	56	34	cryptosystem	cryptosystem	NOUN
cana-3288	56	35	.	.	PUNCT
cana-3288	57	1	the	the	DET
cana-3288	57	2	motivation	motivation	NOUN
cana-3288	57	3	for	for	ADP
cana-3288	57	4	this	this	DET
cana-3288	57	5	work	work	NOUN
cana-3288	57	6	stems	stem	VERB
cana-3288	57	7	from	from	ADP
cana-3288	57	8	the	the	DET
cana-3288	57	9	need	need	NOUN
cana-3288	57	10	to	to	PART
cana-3288	57	11	optimize	optimize	VERB
cana-3288	57	12	the	the	DET
cana-3288	57	13	niederreiter	niederreiter	ADJ
cana-3288	57	14	system	system	NOUN
cana-3288	57	15	to	to	PART
cana-3288	57	16	meet	meet	VERB
cana-3288	57	17	the	the	DET
cana-3288	57	18	demands	demand	NOUN
cana-3288	57	19	of	of	ADP
cana-3288	57	20	modern	modern	ADJ
cana-3288	57	21	communication	communication	NOUN
cana-3288	57	22	systems	system	NOUN
cana-3288	57	23	,	,	PUNCT
cana-3288	57	24	particularly	particularly	ADV
cana-3288	57	25	in	in	ADP
cana-3288	57	26	resource	resource	NOUN
cana-3288	57	27	-	-	PUNCT
cana-3288	57	28	constrained	constrain	VERB
cana-3288	57	29	environments	environment	NOUN
cana-3288	57	30	like	like	ADP
cana-3288	57	31	iot	iot	NOUN
cana-3288	57	32	networks	network	NOUN
cana-3288	57	33	,	,	PUNCT
cana-3288	57	34	where	where	SCONJ
cana-3288	57	35	minimizing	minimize	VERB
cana-3288	57	36	key	key	ADJ
cana-3288	57	37	size	size	NOUN
cana-3288	57	38	,	,	PUNCT
cana-3288	57	39	memory	memory	NOUN
cana-3288	57	40	usage	usage	NOUN
cana-3288	57	41	,	,	PUNCT
cana-3288	57	42	and	and	CCONJ
cana-3288	57	43	power	power	NOUN
cana-3288	57	44	consumption	consumption	NOUN
cana-3288	57	45	is	be	AUX
cana-3288	57	46	critical	critical	ADJ
cana-3288	57	47	.	.	PUNCT
cana-3288	58	1	while	while	SCONJ
cana-3288	58	2	the	the	DET
cana-3288	58	3	niederreiter	niederreiter	NOUN
cana-3288	58	4	cryptosystem	cryptosystem	NOUN
cana-3288	58	5	is	be	AUX
cana-3288	58	6	secure	secure	ADJ
cana-3288	58	7	,	,	PUNCT
cana-3288	58	8	its	its	PRON
cana-3288	58	9	practicality	practicality	NOUN
cana-3288	58	10	in	in	ADP
cana-3288	58	11	such	such	ADJ
cana-3288	58	12	environments	environment	NOUN
cana-3288	58	13	is	be	AUX
cana-3288	58	14	hindered	hinder	VERB
cana-3288	58	15	by	by	ADP
cana-3288	58	16	its	its	PRON
cana-3288	58	17	large	large	ADJ
cana-3288	58	18	resource	resource	NOUN
cana-3288	58	19	requirements	requirement	NOUN
cana-3288	58	20	.	.	PUNCT
cana-3288	59	1	by	by	ADP
cana-3288	59	2	leveraging	leverage	VERB
cana-3288	59	3	the	the	DET
cana-3288	59	4	efficiency	efficiency	NOUN
cana-3288	59	5	of	of	ADP
cana-3288	59	6	ldpc	ldpc	NOUN
cana-3288	59	7	codes	code	NOUN
cana-3288	59	8	,	,	PUNCT
cana-3288	59	9	this	this	DET
cana-3288	59	10	paper	paper	NOUN
cana-3288	59	11	aims	aim	VERB
cana-3288	59	12	to	to	PART
cana-3288	59	13	reduce	reduce	VERB
cana-3288	59	14	the	the	DET
cana-3288	59	15	overhead	overhead	NOUN
cana-3288	59	16	associated	associate	VERB
cana-3288	59	17	with	with	ADP
cana-3288	59	18	key	key	ADJ
cana-3288	59	19	generation	generation	NOUN
cana-3288	59	20	,	,	PUNCT
cana-3288	59	21	encryption	encryption	NOUN
cana-3288	59	22	,	,	PUNCT
cana-3288	59	23	and	and	CCONJ
cana-3288	59	24	decoding	decode	VERB
cana-3288	59	25	while	while	SCONJ
cana-3288	59	26	maintaining	maintain	VERB
cana-3288	59	27	strong	strong	ADJ
cana-3288	59	28	postquantum	postquantum	NOUN
cana-3288	59	29	security	security	NOUN
cana-3288	59	30	.	.	PUNCT
cana-3288	60	1	the	the	DET
cana-3288	60	2	primary	primary	ADJ
cana-3288	60	3	objective	objective	NOUN
cana-3288	60	4	of	of	ADP
cana-3288	60	5	this	this	DET
cana-3288	60	6	paper	paper	NOUN
cana-3288	60	7	is	be	AUX
cana-3288	60	8	to	to	PART
cana-3288	60	9	present	present	VERB
cana-3288	60	10	an	an	DET
cana-3288	60	11	optimized	optimize	VERB
cana-3288	60	12	version	version	NOUN
cana-3288	60	13	of	of	ADP
cana-3288	60	14	the	the	DET
cana-3288	60	15	niederreiter	niederreiter	NOUN
cana-3288	60	16	cryptosystem	cryptosystem	NOUN
cana-3288	60	17	that	that	PRON
cana-3288	60	18	significantly	significantly	ADV
cana-3288	60	19	reduces	reduce	VERB
cana-3288	60	20	key	key	ADJ
cana-3288	60	21	sizes	size	NOUN
cana-3288	60	22	and	and	CCONJ
cana-3288	60	23	improves	improve	VERB
cana-3288	60	24	decoding	decode	VERB
cana-3288	60	25	efficiency	efficiency	NOUN
cana-3288	60	26	,	,	PUNCT
cana-3288	60	27	making	make	VERB
cana-3288	60	28	it	it	PRON
cana-3288	60	29	more	more	ADV
cana-3288	60	30	suitable	suitable	ADJ
cana-3288	60	31	for	for	ADP
cana-3288	60	32	applications	application	NOUN
cana-3288	60	33	in	in	ADP
cana-3288	60	34	iot	iot	ADJ
cana-3288	60	35	and	and	CCONJ
cana-3288	60	36	large	large	ADJ
cana-3288	60	37	-	-	PUNCT
cana-3288	60	38	scale	scale	NOUN
cana-3288	60	39	communications	communication	NOUN
cana-3288	60	40	.	.	PUNCT
cana-3288	61	1	we	we	PRON
cana-3288	61	2	will	will	AUX
cana-3288	61	3	introduce	introduce	VERB
cana-3288	61	4	a	a	DET
cana-3288	61	5	novel	novel	ADJ
cana-3288	61	6	method	method	NOUN
cana-3288	61	7	for	for	ADP
cana-3288	61	8	integrating	integrate	VERB
cana-3288	61	9	ldpc	ldpc	NOUN
cana-3288	61	10	codes	code	NOUN
cana-3288	61	11	into	into	ADP
cana-3288	61	12	the	the	DET
cana-3288	61	13	cryptosystem	cryptosystem	NOUN
cana-3288	61	14	and	and	CCONJ
cana-3288	61	15	evaluate	evaluate	VERB
cana-3288	61	16	its	its	PRON
cana-3288	61	17	performance	performance	NOUN
cana-3288	61	18	through	through	ADP
cana-3288	61	19	theoretical	theoretical	ADJ
cana-3288	61	20	analysis	analysis	NOUN
cana-3288	61	21	and	and	CCONJ
cana-3288	61	22	communications	communication	NOUN
cana-3288	61	23	on	on	ADP
cana-3288	61	24	applied	apply	VERB
cana-3288	61	25	nonlinear	nonlinear	ADJ
cana-3288	61	26	analysis	analysis	NOUN
cana-3288	61	27	issn	issn	NOUN
cana-3288	61	28	:	:	PUNCT
cana-3288	61	29	1074	1074	NUM
cana-3288	61	30	-	-	PUNCT
cana-3288	61	31	133x	133x	NUM
cana-3288	61	32	vol	vol	NOUN
cana-3288	61	33	32	32	NUM
cana-3288	61	34	no	no	NOUN
cana-3288	61	35	.	.	PUNCT
cana-3288	62	1	6s	6s	NUM
cana-3288	62	2	(	(	PUNCT
cana-3288	62	3	2025	2025	NUM
cana-3288	62	4	)	)	PUNCT
cana-3288	62	5	218	218	NUM
cana-3288	63	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-3288	63	2	empirical	empirical	ADJ
cana-3288	63	3	testing	testing	NOUN
cana-3288	63	4	.	.	PUNCT
cana-3288	64	1	this	this	DET
cana-3288	64	2	optimized	optimize	VERB
cana-3288	64	3	cryptographic	cryptographic	ADJ
cana-3288	64	4	scheme	scheme	NOUN
cana-3288	64	5	is	be	AUX
cana-3288	64	6	intended	intend	VERB
cana-3288	64	7	to	to	PART
cana-3288	64	8	be	be	AUX
cana-3288	64	9	both	both	CCONJ
cana-3288	64	10	secure	secure	ADJ
cana-3288	64	11	and	and	CCONJ
cana-3288	64	12	resourceefficient	resourceefficient	ADJ
cana-3288	64	13	,	,	PUNCT
cana-3288	64	14	ensuring	ensure	VERB
cana-3288	64	15	that	that	SCONJ
cana-3288	64	16	it	it	PRON
cana-3288	64	17	can	can	AUX
cana-3288	64	18	be	be	AUX
cana-3288	64	19	applied	apply	VERB
cana-3288	64	20	in	in	ADP
cana-3288	64	21	real	real	ADJ
cana-3288	64	22	-	-	PUNCT
cana-3288	64	23	world	world	NOUN
cana-3288	64	24	scenarios	scenario	NOUN
cana-3288	64	25	where	where	SCONJ
cana-3288	64	26	quantum	quantum	NOUN
cana-3288	64	27	-	-	PUNCT
cana-3288	64	28	resistant	resistant	ADJ
cana-3288	64	29	cryptography	cryptography	NOUN
cana-3288	64	30	is	be	AUX
cana-3288	64	31	essential	essential	ADJ
cana-3288	64	32	.	.	PUNCT
cana-3288	65	1	this	this	DET
cana-3288	65	2	paper	paper	NOUN
cana-3288	65	3	begins	begin	VERB
cana-3288	65	4	with	with	ADP
cana-3288	65	5	an	an	DET
cana-3288	65	6	introduction	introduction	NOUN
cana-3288	65	7	,	,	PUNCT
cana-3288	65	8	which	which	PRON
cana-3288	65	9	provides	provide	VERB
cana-3288	65	10	background	background	NOUN
cana-3288	65	11	on	on	ADP
cana-3288	65	12	post	post	ADJ
cana-3288	65	13	-	-	ADJ
cana-3288	65	14	quantum	quantum	ADJ
cana-3288	65	15	cryptography	cryptography	NOUN
cana-3288	65	16	,	,	PUNCT
cana-3288	65	17	an	an	DET
cana-3288	65	18	overview	overview	NOUN
cana-3288	65	19	of	of	ADP
cana-3288	65	20	the	the	DET
cana-3288	65	21	niederreiter	niederreiter	NOUN
cana-3288	65	22	cryptosystem	cryptosystem	NOUN
cana-3288	65	23	,	,	PUNCT
cana-3288	65	24	the	the	DET
cana-3288	65	25	benefits	benefit	NOUN
cana-3288	65	26	of	of	ADP
cana-3288	65	27	low	low	ADJ
cana-3288	65	28	-	-	PUNCT
cana-3288	65	29	density	density	NOUN
cana-3288	65	30	parity	parity	NOUN
cana-3288	65	31	-	-	PUNCT
cana-3288	65	32	check	check	NOUN
cana-3288	65	33	(	(	PUNCT
cana-3288	65	34	ldpc	ldpc	NOUN
cana-3288	65	35	)	)	PUNCT
cana-3288	65	36	codes	code	NOUN
cana-3288	65	37	,	,	PUNCT
cana-3288	65	38	and	and	CCONJ
cana-3288	65	39	the	the	DET
cana-3288	65	40	motivation	motivation	NOUN
cana-3288	65	41	and	and	CCONJ
cana-3288	65	42	objectives	objective	NOUN
cana-3288	65	43	for	for	ADP
cana-3288	65	44	optimizing	optimize	VERB
cana-3288	65	45	the	the	DET
cana-3288	65	46	cryptosystem	cryptosystem	NOUN
cana-3288	65	47	.	.	PUNCT
cana-3288	66	1	next	next	ADV
cana-3288	66	2	,	,	PUNCT
cana-3288	66	3	the	the	DET
cana-3288	66	4	related	related	ADJ
cana-3288	66	5	work	work	NOUN
cana-3288	66	6	section	section	NOUN
cana-3288	66	7	reviews	review	VERB
cana-3288	66	8	previous	previous	ADJ
cana-3288	66	9	research	research	NOUN
cana-3288	66	10	on	on	ADP
cana-3288	66	11	code	code	NOUN
cana-3288	66	12	-	-	PUNCT
cana-3288	66	13	based	base	VERB
cana-3288	66	14	cryptosystems	cryptosystem	NOUN
cana-3288	66	15	and	and	CCONJ
cana-3288	66	16	the	the	DET
cana-3288	66	17	use	use	NOUN
cana-3288	66	18	of	of	ADP
cana-3288	66	19	ldpc	ldpc	NOUN
cana-3288	66	20	codes	code	NOUN
cana-3288	66	21	in	in	ADP
cana-3288	66	22	cryptography	cryptography	NOUN
cana-3288	66	23	.	.	PUNCT
cana-3288	67	1	the	the	DET
cana-3288	67	2	niederreiter	niederreiter	ADJ
cana-3288	67	3	cryptosystem	cryptosystem	NOUN
cana-3288	67	4	with	with	ADP
cana-3288	67	5	ldpc	ldpc	NOUN
cana-3288	67	6	codes	code	NOUN
cana-3288	67	7	section	section	NOUN
cana-3288	67	8	presents	present	VERB
cana-3288	67	9	the	the	DET
cana-3288	67	10	proposed	propose	VERB
cana-3288	67	11	integration	integration	NOUN
cana-3288	67	12	of	of	ADP
cana-3288	67	13	ldpc	ldpc	NOUN
cana-3288	67	14	codes	code	NOUN
cana-3288	67	15	into	into	ADP
cana-3288	67	16	the	the	DET
cana-3288	67	17	cryptosystem	cryptosystem	NOUN
cana-3288	67	18	,	,	PUNCT
cana-3288	67	19	explaining	explain	VERB
cana-3288	67	20	key	key	ADJ
cana-3288	67	21	size	size	NOUN
cana-3288	67	22	reduction	reduction	NOUN
cana-3288	67	23	and	and	CCONJ
cana-3288	67	24	improved	improved	ADJ
cana-3288	67	25	decoding	decode	VERB
cana-3288	67	26	efficiency	efficiency	NOUN
cana-3288	67	27	.	.	PUNCT
cana-3288	68	1	following	follow	VERB
cana-3288	68	2	this	this	PRON
cana-3288	68	3	,	,	PUNCT
cana-3288	68	4	the	the	DET
cana-3288	68	5	key	key	ADJ
cana-3288	68	6	size	size	NOUN
cana-3288	68	7	reduction	reduction	NOUN
cana-3288	68	8	and	and	CCONJ
cana-3288	68	9	decoding	decode	VERB
cana-3288	68	10	efficiency	efficiency	NOUN
cana-3288	68	11	sections	section	NOUN
cana-3288	68	12	analyze	analyze	VERB
cana-3288	68	13	the	the	DET
cana-3288	68	14	impact	impact	NOUN
cana-3288	68	15	of	of	ADP
cana-3288	68	16	ldpc	ldpc	NOUN
cana-3288	68	17	codes	code	NOUN
cana-3288	68	18	on	on	ADP
cana-3288	68	19	the	the	DET
cana-3288	68	20	cryptosystem	cryptosystem	NOUN
cana-3288	68	21	’s	’s	PART
cana-3288	68	22	performance	performance	NOUN
cana-3288	68	23	,	,	PUNCT
cana-3288	68	24	focusing	focus	VERB
cana-3288	68	25	on	on	ADP
cana-3288	68	26	resource	resource	NOUN
cana-3288	68	27	optimization	optimization	NOUN
cana-3288	68	28	and	and	CCONJ
cana-3288	68	29	theoretical	theoretical	ADJ
cana-3288	68	30	gains	gain	NOUN
cana-3288	68	31	.	.	PUNCT
cana-3288	69	1	the	the	DET
cana-3288	69	2	security	security	NOUN
cana-3288	69	3	analysis	analysis	NOUN
cana-3288	69	4	evaluates	evaluate	VERB
cana-3288	69	5	the	the	DET
cana-3288	69	6	quantum	quantum	ADJ
cana-3288	69	7	resistance	resistance	NOUN
cana-3288	69	8	and	and	CCONJ
cana-3288	69	9	potential	potential	ADJ
cana-3288	69	10	vulnerabilities	vulnerability	NOUN
cana-3288	69	11	of	of	ADP
cana-3288	69	12	the	the	DET
cana-3288	69	13	proposed	propose	VERB
cana-3288	69	14	system	system	NOUN
cana-3288	69	15	.	.	PUNCT
cana-3288	70	1	in	in	ADP
cana-3288	70	2	the	the	DET
cana-3288	70	3	applications	application	NOUN
cana-3288	70	4	section	section	NOUN
cana-3288	70	5	,	,	PUNCT
cana-3288	70	6	the	the	DET
cana-3288	70	7	optimized	optimize	VERB
cana-3288	70	8	cryptosystem	cryptosystem	NOUN
cana-3288	70	9	is	be	AUX
cana-3288	70	10	discussed	discuss	VERB
cana-3288	70	11	in	in	ADP
cana-3288	70	12	the	the	DET
cana-3288	70	13	context	context	NOUN
cana-3288	70	14	of	of	ADP
cana-3288	70	15	iot	iot	ADJ
cana-3288	70	16	and	and	CCONJ
cana-3288	70	17	large	large	ADJ
cana-3288	70	18	-	-	PUNCT
cana-3288	70	19	scale	scale	NOUN
cana-3288	70	20	communication	communication	NOUN
cana-3288	70	21	systems	system	NOUN
cana-3288	70	22	.	.	PUNCT
cana-3288	71	1	finally	finally	ADV
cana-3288	71	2	,	,	PUNCT
cana-3288	71	3	the	the	DET
cana-3288	71	4	performance	performance	NOUN
cana-3288	71	5	evaluation	evaluation	NOUN
cana-3288	71	6	presents	present	VERB
cana-3288	71	7	empirical	empirical	ADJ
cana-3288	71	8	results	result	NOUN
cana-3288	71	9	comparing	compare	VERB
cana-3288	71	10	the	the	DET
cana-3288	71	11	enhanced	enhance	VERB
cana-3288	71	12	system	system	NOUN
cana-3288	71	13	with	with	ADP
cana-3288	71	14	the	the	DET
cana-3288	71	15	standard	standard	ADJ
cana-3288	71	16	version	version	NOUN
cana-3288	71	17	,	,	PUNCT
cana-3288	71	18	and	and	CCONJ
cana-3288	71	19	the	the	DET
cana-3288	71	20	paper	paper	NOUN
cana-3288	71	21	concludes	conclude	VERB
cana-3288	71	22	with	with	ADP
cana-3288	71	23	a	a	DET
cana-3288	71	24	summary	summary	NOUN
cana-3288	71	25	of	of	ADP
cana-3288	71	26	contributions	contribution	NOUN
cana-3288	71	27	and	and	CCONJ
cana-3288	71	28	directions	direction	NOUN
cana-3288	71	29	for	for	ADP
cana-3288	71	30	future	future	ADJ
cana-3288	71	31	work	work	NOUN
cana-3288	71	32	.	.	PUNCT
cana-3288	72	1	1.0.1	1.0.1	NUM
cana-3288	72	2	background	background	NOUN
cana-3288	72	3	and	and	CCONJ
cana-3288	72	4	literature	literature	NOUN
cana-3288	72	5	review	review	NOUN
cana-3288	72	6	niederreiter	niederreiter	VERB
cana-3288	72	7	cryptosystem	cryptosystem	NOUN
cana-3288	72	8	and	and	CCONJ
cana-3288	72	9	its	its	PRON
cana-3288	72	10	challenges	challenge	NOUN
cana-3288	72	11	:	:	PUNCT
cana-3288	72	12	the	the	DET
cana-3288	72	13	niederreiter	niederreiter	ADJ
cana-3288	72	14	cryptosystem	cryptosystem	NOUN
cana-3288	72	15	is	be	AUX
cana-3288	72	16	a	a	DET
cana-3288	72	17	code	code	NOUN
cana-3288	72	18	-	-	PUNCT
cana-3288	72	19	based	base	VERB
cana-3288	72	20	cryptographic	cryptographic	ADJ
cana-3288	72	21	scheme	scheme	NOUN
cana-3288	72	22	recognized	recognize	VERB
cana-3288	72	23	for	for	ADP
cana-3288	72	24	its	its	PRON
cana-3288	72	25	post	post	ADJ
cana-3288	72	26	-	-	ADJ
cana-3288	72	27	quantum	quantum	ADJ
cana-3288	72	28	security	security	NOUN
cana-3288	72	29	.	.	PUNCT
cana-3288	73	1	it	it	PRON
cana-3288	73	2	operates	operate	VERB
cana-3288	73	3	on	on	ADP
cana-3288	73	4	the	the	DET
cana-3288	73	5	principle	principle	NOUN
cana-3288	73	6	of	of	ADP
cana-3288	73	7	harddecoding	harddecoding	NOUN
cana-3288	73	8	problems	problem	NOUN
cana-3288	73	9	,	,	PUNCT
cana-3288	73	10	specifically	specifically	ADV
cana-3288	73	11	leveraging	leverage	VERB
cana-3288	73	12	error	error	NOUN
cana-3288	73	13	-	-	PUNCT
cana-3288	73	14	correcting	correct	VERB
cana-3288	73	15	codes	code	NOUN
cana-3288	73	16	like	like	ADP
cana-3288	73	17	goppa	goppa	NOUN
cana-3288	73	18	codes	code	NOUN
cana-3288	73	19	.	.	PUNCT
cana-3288	74	1	however	however	ADV
cana-3288	74	2	,	,	PUNCT
cana-3288	74	3	practical	practical	ADJ
cana-3288	74	4	challenges	challenge	NOUN
cana-3288	74	5	,	,	PUNCT
cana-3288	74	6	including	include	VERB
cana-3288	74	7	:	:	PUNCT
cana-3288	74	8	•	•	NUM
cana-3288	74	9	large	large	ADJ
cana-3288	74	10	public	public	ADJ
cana-3288	74	11	keys	key	NOUN
cana-3288	74	12	:	:	PUNCT
cana-3288	74	13	typically	typically	ADV
cana-3288	74	14	exceeding	exceed	VERB
cana-3288	74	15	several	several	ADJ
cana-3288	74	16	kilobytes	kilobyte	NOUN
cana-3288	74	17	in	in	ADP
cana-3288	74	18	size	size	NOUN
cana-3288	74	19	.	.	PUNCT
cana-3288	75	1	•	•	NUM
cana-3288	75	2	high	high	ADJ
cana-3288	75	3	computational	computational	ADJ
cana-3288	75	4	demands	demand	NOUN
cana-3288	75	5	:	:	PUNCT
cana-3288	75	6	especially	especially	ADV
cana-3288	75	7	for	for	ADP
cana-3288	75	8	decryption	decryption	NOUN
cana-3288	75	9	in	in	ADP
cana-3288	75	10	high	high	ADJ
cana-3288	75	11	-	-	PUNCT
cana-3288	75	12	noise	noise	NOUN
cana-3288	75	13	environments	environment	NOUN
cana-3288	75	14	.	.	PUNCT
cana-3288	76	1	•	•	NUM
cana-3288	76	2	limited	limited	ADJ
cana-3288	76	3	scalability	scalability	NOUN
cana-3288	76	4	:	:	PUNCT
cana-3288	76	5	constrained	constrain	VERB
cana-3288	76	6	applicability	applicability	NOUN
cana-3288	76	7	in	in	ADP
cana-3288	76	8	real	real	ADJ
cana-3288	76	9	-	-	PUNCT
cana-3288	76	10	world	world	NOUN
cana-3288	76	11	distributed	distribute	VERB
cana-3288	76	12	systems	system	NOUN
cana-3288	76	13	.	.	PUNCT
cana-3288	77	1	low	low	ADJ
cana-3288	77	2	-	-	PUNCT
cana-3288	77	3	density	density	NOUN
cana-3288	77	4	parity	parity	NOUN
cana-3288	77	5	-	-	PUNCT
cana-3288	77	6	check	check	NOUN
cana-3288	77	7	(	(	PUNCT
cana-3288	77	8	ldpc	ldpc	NOUN
cana-3288	77	9	)	)	PUNCT
cana-3288	77	10	codes	code	VERB
cana-3288	77	11	ldpc	ldpc	NOUN
cana-3288	77	12	codes	code	NOUN
cana-3288	77	13	,	,	PUNCT
cana-3288	77	14	introduced	introduce	VERB
cana-3288	77	15	by	by	ADP
cana-3288	77	16	gallager	gallager	NOUN
cana-3288	77	17	,	,	PUNCT
cana-3288	77	18	have	have	AUX
cana-3288	77	19	revolutionized	revolutionize	VERB
cana-3288	77	20	error	error	NOUN
cana-3288	77	21	correction	correction	NOUN
cana-3288	77	22	with	with	ADP
cana-3288	77	23	their	their	PRON
cana-3288	77	24	sparse	sparse	ADJ
cana-3288	77	25	parity	parity	NOUN
cana-3288	77	26	-	-	PUNCT
cana-3288	77	27	check	check	NOUN
cana-3288	77	28	matrices	matrix	NOUN
cana-3288	77	29	.	.	PUNCT
cana-3288	78	1	their	their	PRON
cana-3288	78	2	advantages	advantage	NOUN
cana-3288	78	3	include	include	VERB
cana-3288	78	4	:	:	PUNCT
cana-3288	78	5	•	•	NUM
cana-3288	78	6	high	high	ADJ
cana-3288	78	7	error	error	NOUN
cana-3288	78	8	correction	correction	NOUN
cana-3288	78	9	efficiency	efficiency	NOUN
cana-3288	78	10	.	.	PUNCT
cana-3288	79	1	•	•	NUM
cana-3288	79	2	reduced	reduced	ADJ
cana-3288	79	3	decoding	decode	VERB
cana-3288	79	4	complexity	complexity	NOUN
cana-3288	79	5	using	use	VERB
cana-3288	79	6	iterative	iterative	ADJ
cana-3288	79	7	algorithms	algorithm	NOUN
cana-3288	79	8	like	like	ADP
cana-3288	79	9	belief	belief	NOUN
cana-3288	79	10	propagation	propagation	NOUN
cana-3288	79	11	.	.	PUNCT
cana-3288	80	1	•	•	NUM
cana-3288	80	2	feasibility	feasibility	NOUN
cana-3288	80	3	for	for	ADP
cana-3288	80	4	hardware	hardware	NOUN
cana-3288	80	5	implementation	implementation	NOUN
cana-3288	80	6	in	in	ADP
cana-3288	80	7	resource	resource	NOUN
cana-3288	80	8	-	-	PUNCT
cana-3288	80	9	constrained	constrain	VERB
cana-3288	80	10	environments	environment	NOUN
cana-3288	80	11	.	.	PUNCT
cana-3288	81	1	integrating	integrate	VERB
cana-3288	81	2	ldpc	ldpc	NOUN
cana-3288	81	3	codes	code	NOUN
cana-3288	81	4	with	with	ADP
cana-3288	81	5	niederreiter	niederreiter	ADJ
cana-3288	81	6	several	several	ADJ
cana-3288	81	7	attempts	attempt	NOUN
cana-3288	81	8	to	to	PART
cana-3288	81	9	integrate	integrate	VERB
cana-3288	81	10	ldpc	ldpc	NOUN
cana-3288	81	11	codes	code	NOUN
cana-3288	81	12	with	with	ADP
cana-3288	81	13	code	code	NOUN
cana-3288	81	14	-	-	PUNCT
cana-3288	81	15	based	base	VERB
cana-3288	81	16	cryptosystems	cryptosystem	NOUN
cana-3288	81	17	have	have	AUX
cana-3288	81	18	shown	show	VERB
cana-3288	81	19	promise	promise	NOUN
cana-3288	81	20	but	but	CCONJ
cana-3288	81	21	often	often	ADV
cana-3288	81	22	lack	lack	VERB
cana-3288	81	23	scalability	scalability	NOUN
cana-3288	81	24	or	or	CCONJ
cana-3288	81	25	practical	practical	ADJ
cana-3288	81	26	implementation	implementation	NOUN
cana-3288	81	27	insights	insight	NOUN
cana-3288	81	28	.	.	PUNCT
cana-3288	82	1	existing	exist	VERB
cana-3288	82	2	works	work	NOUN
cana-3288	82	3	focus	focus	VERB
cana-3288	82	4	primarily	primarily	ADV
cana-3288	82	5	on	on	ADP
cana-3288	82	6	theoretical	theoretical	ADJ
cana-3288	82	7	formulations	formulation	NOUN
cana-3288	82	8	without	without	ADP
cana-3288	82	9	addressing	address	VERB
cana-3288	82	10	real	real	ADJ
cana-3288	82	11	-	-	PUNCT
cana-3288	82	12	world	world	NOUN
cana-3288	82	13	deployment	deployment	NOUN
cana-3288	82	14	challenges	challenge	NOUN
cana-3288	82	15	,	,	PUNCT
cana-3288	82	16	such	such	ADJ
cana-3288	82	17	as	as	ADP
cana-3288	82	18	key	key	ADJ
cana-3288	82	19	size	size	NOUN
cana-3288	82	20	optimization	optimization	NOUN
cana-3288	82	21	and	and	CCONJ
cana-3288	82	22	decoding	decode	VERB
cana-3288	82	23	speed	speed	NOUN
cana-3288	82	24	.	.	PUNCT
cana-3288	83	1	gaps	gap	NOUN
cana-3288	83	2	in	in	ADP
cana-3288	83	3	current	current	ADJ
cana-3288	83	4	research	research	NOUN
cana-3288	83	5	while	while	SCONJ
cana-3288	83	6	the	the	DET
cana-3288	83	7	benefits	benefit	NOUN
cana-3288	83	8	of	of	ADP
cana-3288	83	9	ldpc	ldpc	NOUN
cana-3288	83	10	codes	code	NOUN
cana-3288	83	11	are	be	AUX
cana-3288	83	12	well	well	ADV
cana-3288	83	13	-	-	PUNCT
cana-3288	83	14	documented	document	VERB
cana-3288	83	15	,	,	PUNCT
cana-3288	83	16	their	their	PRON
cana-3288	83	17	integration	integration	NOUN
cana-3288	83	18	into	into	ADP
cana-3288	83	19	the	the	DET
cana-3288	83	20	niederreiter	niederreiter	NOUN
cana-3288	83	21	cryptosystem	cryptosystem	NOUN
cana-3288	83	22	remains	remain	VERB
cana-3288	83	23	underexplored	underexplored	ADJ
cana-3288	83	24	:	:	PUNCT
cana-3288	83	25	1	1	X
cana-3288	83	26	.	.	X
cana-3288	83	27	existing	exist	VERB
cana-3288	83	28	approaches	approach	NOUN
cana-3288	83	29	fail	fail	VERB
cana-3288	83	30	to	to	PART
cana-3288	83	31	optimize	optimize	VERB
cana-3288	83	32	both	both	DET
cana-3288	83	33	key	key	ADJ
cana-3288	83	34	size	size	NOUN
cana-3288	83	35	and	and	CCONJ
cana-3288	83	36	decoding	decode	VERB
cana-3288	83	37	efficiency	efficiency	NOUN
cana-3288	83	38	simultaneously	simultaneously	ADV
cana-3288	83	39	.	.	PUNCT
cana-3288	84	1	communications	communication	NOUN
cana-3288	84	2	on	on	ADP
cana-3288	84	3	applied	apply	VERB
cana-3288	84	4	nonlinear	nonlinear	ADJ
cana-3288	84	5	analysis	analysis	NOUN
cana-3288	84	6	issn	issn	NOUN
cana-3288	84	7	:	:	PUNCT
cana-3288	84	8	1074	1074	NUM
cana-3288	84	9	-	-	PUNCT
cana-3288	84	10	133x	133x	NUM
cana-3288	84	11	vol	vol	NOUN
cana-3288	84	12	32	32	NUM
cana-3288	84	13	no	no	NOUN
cana-3288	84	14	.	.	PUNCT
cana-3288	85	1	6s	6s	NUM
cana-3288	85	2	(	(	PUNCT
cana-3288	85	3	2025	2025	NUM
cana-3288	85	4	)	)	PUNCT
cana-3288	85	5	219	219	NUM
cana-3288	86	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-3288	86	2	2	2	NUM
cana-3288	86	3	.	.	NUM
cana-3288	86	4	limited	limited	ADJ
cana-3288	86	5	research	research	NOUN
cana-3288	86	6	addresses	address	NOUN
cana-3288	86	7	the	the	DET
cana-3288	86	8	practical	practical	ADJ
cana-3288	86	9	challenges	challenge	NOUN
cana-3288	86	10	of	of	ADP
cana-3288	86	11	deploying	deploy	VERB
cana-3288	86	12	such	such	ADJ
cana-3288	86	13	optimized	optimize	VERB
cana-3288	86	14	systems	system	NOUN
cana-3288	86	15	in	in	ADP
cana-3288	86	16	realworld	realworld	PROPN
cana-3288	86	17	environments	environment	NOUN
cana-3288	86	18	.	.	PUNCT
cana-3288	87	1	1.1	1.1	NUM
cana-3288	87	2	related	relate	VERB
cana-3288	87	3	work	work	NOUN
cana-3288	87	4	the	the	DET
cana-3288	87	5	rise	rise	NOUN
cana-3288	87	6	of	of	ADP
cana-3288	87	7	quantum	quantum	NOUN
cana-3288	87	8	computing	computing	NOUN
cana-3288	87	9	has	have	AUX
cana-3288	87	10	triggered	trigger	VERB
cana-3288	87	11	significant	significant	ADJ
cana-3288	87	12	research	research	NOUN
cana-3288	87	13	into	into	ADP
cana-3288	87	14	post	post	ADJ
cana-3288	87	15	-	-	ADJ
cana-3288	87	16	quantum	quantum	ADJ
cana-3288	87	17	cryptography	cryptography	NOUN
cana-3288	87	18	(	(	PUNCT
cana-3288	87	19	pqc	pqc	NOUN
cana-3288	87	20	)	)	PUNCT
cana-3288	87	21	,	,	PUNCT
cana-3288	87	22	leading	lead	VERB
cana-3288	87	23	to	to	ADP
cana-3288	87	24	the	the	DET
cana-3288	87	25	development	development	NOUN
cana-3288	87	26	of	of	ADP
cana-3288	87	27	several	several	ADJ
cana-3288	87	28	promising	promising	ADJ
cana-3288	87	29	candidates	candidate	NOUN
cana-3288	87	30	for	for	ADP
cana-3288	87	31	secure	secure	ADJ
cana-3288	87	32	cryptographic	cryptographic	ADJ
cana-3288	87	33	systems	system	NOUN
cana-3288	87	34	that	that	PRON
cana-3288	87	35	resist	resist	VERB
cana-3288	87	36	quantum	quantum	NOUN
cana-3288	87	37	attacks	attack	NOUN
cana-3288	87	38	.	.	PUNCT
cana-3288	88	1	among	among	ADP
cana-3288	88	2	these	these	PRON
cana-3288	88	3	,	,	PUNCT
cana-3288	88	4	code	code	NOUN
cana-3288	88	5	-	-	PUNCT
cana-3288	88	6	based	base	VERB
cana-3288	88	7	cryptosystems	cryptosystem	NOUN
cana-3288	88	8	have	have	AUX
cana-3288	88	9	emerged	emerge	VERB
cana-3288	88	10	as	as	ADP
cana-3288	88	11	strong	strong	ADJ
cana-3288	88	12	contenders	contender	NOUN
cana-3288	88	13	due	due	ADP
cana-3288	88	14	to	to	ADP
cana-3288	88	15	their	their	PRON
cana-3288	88	16	solid	solid	ADJ
cana-3288	88	17	security	security	NOUN
cana-3288	88	18	foundation	foundation	NOUN
cana-3288	88	19	and	and	CCONJ
cana-3288	88	20	resistance	resistance	NOUN
cana-3288	88	21	to	to	ADP
cana-3288	88	22	known	know	VERB
cana-3288	88	23	quantum	quantum	ADJ
cana-3288	88	24	algorithms	algorithm	NOUN
cana-3288	88	25	.	.	PUNCT
cana-3288	89	1	this	this	DET
cana-3288	89	2	section	section	NOUN
cana-3288	89	3	provides	provide	VERB
cana-3288	89	4	a	a	DET
cana-3288	89	5	review	review	NOUN
cana-3288	89	6	of	of	ADP
cana-3288	89	7	the	the	DET
cana-3288	89	8	relevant	relevant	ADJ
cana-3288	89	9	literature	literature	NOUN
cana-3288	89	10	,	,	PUNCT
cana-3288	89	11	with	with	ADP
cana-3288	89	12	a	a	DET
cana-3288	89	13	focus	focus	NOUN
cana-3288	89	14	on	on	ADP
cana-3288	89	15	mceliece	mceliece	NOUN
cana-3288	89	16	and	and	CCONJ
cana-3288	89	17	niederreiter	niederreiter	ADJ
cana-3288	89	18	cryptosystems[17,18	cryptosystems[17,18	PROPN
cana-3288	89	19	]	]	PUNCT
cana-3288	89	20	,	,	PUNCT
cana-3288	89	21	the	the	DET
cana-3288	89	22	use	use	NOUN
cana-3288	89	23	of	of	ADP
cana-3288	89	24	low	low	ADJ
cana-3288	89	25	-	-	PUNCT
cana-3288	89	26	density	density	NOUN
cana-3288	89	27	parity	parity	NOUN
cana-3288	89	28	-	-	PUNCT
cana-3288	89	29	check	check	NOUN
cana-3288	89	30	(	(	PUNCT
cana-3288	89	31	ldpc	ldpc	NOUN
cana-3288	89	32	)	)	PUNCT
cana-3288	89	33	codes	code	NOUN
cana-3288	89	34	in	in	ADP
cana-3288	89	35	cryptography[4	cryptography[4	NUM
cana-3288	89	36	,	,	PUNCT
cana-3288	89	37	20	20	NUM
cana-3288	89	38	]	]	PUNCT
cana-3288	89	39	,	,	PUNCT
cana-3288	89	40	and	and	CCONJ
cana-3288	89	41	efforts	effort	NOUN
cana-3288	89	42	to	to	PART
cana-3288	89	43	develop	develop	VERB
cana-3288	89	44	resource	resource	NOUN
cana-3288	89	45	-	-	PUNCT
cana-3288	89	46	efficient	efficient	ADJ
cana-3288	89	47	cryptographic	cryptographic	ADJ
cana-3288	89	48	systems	system	NOUN
cana-3288	89	49	for	for	ADP
cana-3288	89	50	iot	iot	ADJ
cana-3288	89	51	environments	environment	NOUN
cana-3288	89	52	.	.	PUNCT
cana-3288	90	1	post	post	ADJ
cana-3288	90	2	-	-	ADJ
cana-3288	90	3	quantum	quantum	ADJ
cana-3288	90	4	code	code	NOUN
cana-3288	90	5	-	-	PUNCT
cana-3288	90	6	based	base	VERB
cana-3288	90	7	cryptosystems	cryptosystem	NOUN
cana-3288	90	8	the	the	DET
cana-3288	90	9	mceliece	mceliece	NOUN
cana-3288	90	10	[	[	X
cana-3288	90	11	14]and	14]and	NUM
cana-3288	90	12	niederreiter	niederreiter	ADJ
cana-3288	90	13	cryptosystems	cryptosystem	NOUN
cana-3288	90	14	are	be	AUX
cana-3288	90	15	two	two	NUM
cana-3288	90	16	of	of	ADP
cana-3288	90	17	the	the	DET
cana-3288	90	18	most	most	ADV
cana-3288	90	19	widely	widely	ADV
cana-3288	90	20	studied	study	VERB
cana-3288	90	21	code	code	NOUN
cana-3288	90	22	-	-	PUNCT
cana-3288	90	23	based	base	VERB
cana-3288	90	24	cryptographic	cryptographic	ADJ
cana-3288	90	25	systems	system	NOUN
cana-3288	90	26	,	,	PUNCT
cana-3288	90	27	both	both	PRON
cana-3288	90	28	of	of	ADP
cana-3288	90	29	which	which	PRON
cana-3288	90	30	rely	rely	VERB
cana-3288	90	31	on	on	ADP
cana-3288	90	32	the	the	DET
cana-3288	90	33	difficulty	difficulty	NOUN
cana-3288	90	34	of	of	ADP
cana-3288	90	35	decoding	decode	VERB
cana-3288	90	36	a	a	DET
cana-3288	90	37	general	general	ADJ
cana-3288	90	38	linear	linear	PROPN
cana-3288	90	39	code	code	PROPN
cana-3288	90	40	,	,	PUNCT
cana-3288	90	41	a	a	DET
cana-3288	90	42	problem	problem	NOUN
cana-3288	90	43	believed	believe	VERB
cana-3288	90	44	to	to	PART
cana-3288	90	45	remain	remain	VERB
cana-3288	90	46	hard	hard	ADJ
cana-3288	90	47	even	even	ADV
cana-3288	90	48	for	for	ADP
cana-3288	90	49	quantum	quantum	ADJ
cana-3288	90	50	computers	computer	NOUN
cana-3288	90	51	.	.	PUNCT
cana-3288	91	1	mceliece	mceliece	PROPN
cana-3288	91	2	cryptosystem	cryptosystem	PROPN
cana-3288	91	3	:	:	PUNCT
cana-3288	91	4	introduced	introduce	VERB
cana-3288	91	5	in	in	ADP
cana-3288	91	6	1978	1978	NUM
cana-3288	91	7	,	,	PUNCT
cana-3288	91	8	the	the	DET
cana-3288	91	9	mceliece	mceliece	NOUN
cana-3288	91	10	cryptosystem	cryptosystem	NOUN
cana-3288	91	11	is	be	AUX
cana-3288	91	12	based	base	VERB
cana-3288	91	13	on	on	ADP
cana-3288	91	14	the	the	DET
cana-3288	91	15	use	use	NOUN
cana-3288	91	16	of	of	ADP
cana-3288	91	17	binary	binary	PROPN
cana-3288	91	18	goppa	goppa	PROPN
cana-3288	91	19	codes	code	NOUN
cana-3288	91	20	.	.	PUNCT
cana-3288	92	1	its	its	PRON
cana-3288	92	2	security	security	NOUN
cana-3288	92	3	stems	stem	VERB
cana-3288	92	4	from	from	ADP
cana-3288	92	5	the	the	DET
cana-3288	92	6	difficulty	difficulty	NOUN
cana-3288	92	7	of	of	ADP
cana-3288	92	8	decoding	decode	VERB
cana-3288	92	9	a	a	DET
cana-3288	92	10	randomly	randomly	ADV
cana-3288	92	11	generated	generate	VERB
cana-3288	92	12	linear	linear	PROPN
cana-3288	92	13	code	code	NOUN
cana-3288	92	14	,	,	PUNCT
cana-3288	92	15	even	even	ADV
cana-3288	92	16	when	when	SCONJ
cana-3288	92	17	the	the	DET
cana-3288	92	18	public	public	ADJ
cana-3288	92	19	key	key	NOUN
cana-3288	92	20	reveals	reveal	VERB
cana-3288	92	21	an	an	DET
cana-3288	92	22	encoded	encode	VERB
cana-3288	92	23	message	message	NOUN
cana-3288	92	24	.	.	PUNCT
cana-3288	93	1	the	the	DET
cana-3288	93	2	mceliece	mceliece	PROPN
cana-3288	93	3	system	system	NOUN
cana-3288	93	4	has	have	AUX
cana-3288	93	5	stood	stand	VERB
cana-3288	93	6	the	the	DET
cana-3288	93	7	test	test	NOUN
cana-3288	93	8	of	of	ADP
cana-3288	93	9	time	time	NOUN
cana-3288	93	10	,	,	PUNCT
cana-3288	93	11	proving	prove	VERB
cana-3288	93	12	to	to	PART
cana-3288	93	13	be	be	AUX
cana-3288	93	14	resistant	resistant	ADJ
cana-3288	93	15	to	to	ADP
cana-3288	93	16	both	both	CCONJ
cana-3288	93	17	classical	classical	ADJ
cana-3288	93	18	and	and	CCONJ
cana-3288	93	19	quantum	quantum	ADJ
cana-3288	93	20	attacks[19	attacks[19	NOUN
cana-3288	93	21	]	]	PUNCT
cana-3288	93	22	.	.	PUNCT
cana-3288	94	1	however	however	ADV
cana-3288	94	2	,	,	PUNCT
cana-3288	94	3	the	the	DET
cana-3288	94	4	primary	primary	ADJ
cana-3288	94	5	drawback	drawback	NOUN
cana-3288	94	6	of	of	ADP
cana-3288	94	7	the	the	DET
cana-3288	94	8	mceliece	mceliece	NOUN
cana-3288	94	9	cryptosystem	cryptosystem	NOUN
cana-3288	94	10	is	be	AUX
cana-3288	94	11	its	its	PRON
cana-3288	94	12	large	large	ADJ
cana-3288	94	13	key	key	ADJ
cana-3288	94	14	sizes	size	NOUN
cana-3288	94	15	,	,	PUNCT
cana-3288	94	16	which	which	PRON
cana-3288	94	17	can	can	AUX
cana-3288	94	18	reach	reach	VERB
cana-3288	94	19	hundreds	hundred	NOUN
cana-3288	94	20	of	of	ADP
cana-3288	94	21	kilobytes	kilobyte	NOUN
cana-3288	94	22	,	,	PUNCT
cana-3288	94	23	making	make	VERB
cana-3288	94	24	it	it	PRON
cana-3288	94	25	impractical	impractical	ADJ
cana-3288	94	26	for	for	ADP
cana-3288	94	27	many	many	ADJ
cana-3288	94	28	modern	modern	ADJ
cana-3288	94	29	applications	application	NOUN
cana-3288	94	30	,	,	PUNCT
cana-3288	94	31	particularly	particularly	ADV
cana-3288	94	32	those	those	PRON
cana-3288	94	33	with	with	ADP
cana-3288	94	34	limited	limited	ADJ
cana-3288	94	35	storage	storage	NOUN
cana-3288	94	36	and	and	CCONJ
cana-3288	94	37	bandwidth	bandwidth	NOUN
cana-3288	94	38	.	.	PUNCT
cana-3288	95	1	niederreiter	niederreiter	PROPN
cana-3288	95	2	cryptosystem	cryptosystem	NOUN
cana-3288	95	3	:	:	PUNCT
cana-3288	95	4	the	the	DET
cana-3288	95	5	niederreiter	niederreiter	NOUN
cana-3288	95	6	cryptosystem	cryptosystem	NOUN
cana-3288	95	7	,	,	PUNCT
cana-3288	95	8	proposed	propose	VERB
cana-3288	95	9	in	in	ADP
cana-3288	95	10	1986	1986	NUM
cana-3288	95	11	,	,	PUNCT
cana-3288	95	12	is	be	AUX
cana-3288	95	13	closely	closely	ADV
cana-3288	95	14	related	relate	VERB
cana-3288	95	15	to	to	ADP
cana-3288	95	16	mceliece	mceliece	NOUN
cana-3288	95	17	but	but	CCONJ
cana-3288	95	18	uses	use	VERB
cana-3288	95	19	the	the	DET
cana-3288	95	20	parity	parity	NOUN
cana-3288	95	21	-	-	PUNCT
cana-3288	95	22	check	check	NOUN
cana-3288	95	23	matrix	matrix	NOUN
cana-3288	95	24	of	of	ADP
cana-3288	95	25	a	a	DET
cana-3288	95	26	linear	linear	ADJ
cana-3288	95	27	code	code	NOUN
cana-3288	95	28	rather	rather	ADV
cana-3288	95	29	than	than	ADP
cana-3288	95	30	its	its	PRON
cana-3288	95	31	generator	generator	NOUN
cana-3288	95	32	matrix	matrix	NOUN
cana-3288	95	33	.	.	PUNCT
cana-3288	96	1	while	while	SCONJ
cana-3288	96	2	functionally	functionally	ADV
cana-3288	96	3	similar	similar	ADJ
cana-3288	96	4	in	in	ADP
cana-3288	96	5	security	security	NOUN
cana-3288	96	6	,	,	PUNCT
cana-3288	96	7	the	the	DET
cana-3288	96	8	niederreiter	niederreiter	NOUN
cana-3288	96	9	system	system	NOUN
cana-3288	96	10	is	be	AUX
cana-3288	96	11	often	often	ADV
cana-3288	96	12	preferred	prefer	VERB
cana-3288	96	13	due	due	ADP
cana-3288	96	14	to	to	ADP
cana-3288	96	15	its	its	PRON
cana-3288	96	16	computational	computational	ADJ
cana-3288	96	17	advantages	advantage	NOUN
cana-3288	96	18	,	,	PUNCT
cana-3288	96	19	such	such	ADJ
cana-3288	96	20	as	as	ADP
cana-3288	96	21	faster	fast	ADJ
cana-3288	96	22	encryption[1	encryption[1	PROPN
cana-3288	96	23	,	,	PUNCT
cana-3288	96	24	2	2	NUM
cana-3288	96	25	]	]	PUNCT
cana-3288	96	26	.	.	PUNCT
cana-3288	97	1	like	like	ADP
cana-3288	97	2	mceliece	mceliece	PROPN
cana-3288	97	3	,	,	PUNCT
cana-3288	97	4	the	the	DET
cana-3288	97	5	niederreiter	niederreiter	NOUN
cana-3288	97	6	system	system	NOUN
cana-3288	97	7	is	be	AUX
cana-3288	97	8	quantumresistant	quantumresistant	ADJ
cana-3288	97	9	,	,	PUNCT
cana-3288	97	10	but	but	CCONJ
cana-3288	97	11	it	it	PRON
cana-3288	97	12	suffers	suffer	VERB
cana-3288	97	13	from	from	ADP
cana-3288	97	14	the	the	DET
cana-3288	97	15	same	same	ADJ
cana-3288	97	16	limitation	limitation	NOUN
cana-3288	97	17	of	of	ADP
cana-3288	97	18	large	large	ADJ
cana-3288	97	19	public	public	ADJ
cana-3288	97	20	key	key	ADJ
cana-3288	97	21	sizes	size	NOUN
cana-3288	97	22	,	,	PUNCT
cana-3288	97	23	which	which	PRON
cana-3288	97	24	restricts	restrict	VERB
cana-3288	97	25	its	its	PRON
cana-3288	97	26	usability	usability	NOUN
cana-3288	97	27	in	in	ADP
cana-3288	97	28	resource	resource	NOUN
cana-3288	97	29	constrained	constrain	VERB
cana-3288	97	30	environments[15	environments[15	NOUN
cana-3288	97	31	]	]	PUNCT
cana-3288	97	32	.	.	PUNCT
cana-3288	98	1	several	several	ADJ
cana-3288	98	2	enhancements	enhancement	NOUN
cana-3288	98	3	to	to	ADP
cana-3288	98	4	both	both	DET
cana-3288	98	5	systems	system	NOUN
cana-3288	98	6	have	have	AUX
cana-3288	98	7	been	be	AUX
cana-3288	98	8	proposed	propose	VERB
cana-3288	98	9	in	in	ADP
cana-3288	98	10	the	the	DET
cana-3288	98	11	literature	literature	NOUN
cana-3288	98	12	to	to	PART
cana-3288	98	13	mitigate	mitigate	VERB
cana-3288	98	14	their	their	PRON
cana-3288	98	15	key	key	ADJ
cana-3288	98	16	size	size	NOUN
cana-3288	98	17	issues	issue	NOUN
cana-3288	98	18	,	,	PUNCT
cana-3288	98	19	such	such	ADJ
cana-3288	98	20	as	as	ADP
cana-3288	98	21	using	use	VERB
cana-3288	98	22	alternative	alternative	ADJ
cana-3288	98	23	error	error	NOUN
cana-3288	98	24	-	-	PUNCT
cana-3288	98	25	correcting	correct	VERB
cana-3288	98	26	codes	code	NOUN
cana-3288	98	27	and	and	CCONJ
cana-3288	98	28	optimizing	optimize	VERB
cana-3288	98	29	the	the	DET
cana-3288	98	30	encoding	encoding	NOUN
cana-3288	98	31	and	and	CCONJ
cana-3288	98	32	decoding	decode	VERB
cana-3288	98	33	algorithms	algorithm	NOUN
cana-3288	98	34	.	.	PUNCT
cana-3288	99	1	recent	recent	ADJ
cana-3288	99	2	advancements	advancement	NOUN
cana-3288	99	3	have	have	AUX
cana-3288	99	4	explored	explore	VERB
cana-3288	99	5	the	the	DET
cana-3288	99	6	use	use	NOUN
cana-3288	99	7	of	of	ADP
cana-3288	99	8	quasi	quasi	NOUN
cana-3288	99	9	-	-	ADJ
cana-3288	99	10	cyclic	cyclic	ADJ
cana-3288	99	11	and	and	CCONJ
cana-3288	99	12	structured	structured	ADJ
cana-3288	99	13	codes	code	NOUN
cana-3288	99	14	to	to	PART
cana-3288	99	15	reduce	reduce	VERB
cana-3288	99	16	key	key	ADJ
cana-3288	99	17	sizes	size	NOUN
cana-3288	99	18	while	while	SCONJ
cana-3288	99	19	maintaining	maintain	VERB
cana-3288	99	20	security	security	NOUN
cana-3288	99	21	,	,	PUNCT
cana-3288	99	22	although	although	SCONJ
cana-3288	99	23	achieving	achieve	VERB
cana-3288	99	24	the	the	DET
cana-3288	99	25	right	right	ADJ
cana-3288	99	26	balance	balance	NOUN
cana-3288	99	27	between	between	ADP
cana-3288	99	28	efficiency	efficiency	NOUN
cana-3288	99	29	and	and	CCONJ
cana-3288	99	30	cryptographic	cryptographic	ADJ
cana-3288	99	31	strength	strength	NOUN
cana-3288	99	32	remains	remain	VERB
cana-3288	99	33	an	an	DET
cana-3288	99	34	ongoing	ongoing	ADJ
cana-3288	99	35	challenge.[12	challenge.[12	NOUN
cana-3288	99	36	]	]	PUNCT
cana-3288	99	37	use	use	NOUN
cana-3288	99	38	of	of	ADP
cana-3288	99	39	ldpc	ldpc	NOUN
cana-3288	99	40	codes	code	NOUN
cana-3288	99	41	in	in	ADP
cana-3288	99	42	cryptography	cryptography	NOUN
cana-3288	99	43	lowdensity	lowdensity	NOUN
cana-3288	99	44	parity	parity	NOUN
cana-3288	99	45	-	-	PUNCT
cana-3288	99	46	check	check	NOUN
cana-3288	99	47	(	(	PUNCT
cana-3288	99	48	ldpc	ldpc	NOUN
cana-3288	99	49	)	)	PUNCT
cana-3288	99	50	codes	code	NOUN
cana-3288	99	51	are	be	AUX
cana-3288	99	52	a	a	DET
cana-3288	99	53	class	class	NOUN
cana-3288	99	54	of	of	ADP
cana-3288	99	55	error	error	NOUN
cana-3288	99	56	-	-	PUNCT
cana-3288	99	57	correcting	correct	VERB
cana-3288	99	58	codes	code	NOUN
cana-3288	99	59	introduced	introduce	VERB
cana-3288	99	60	by	by	ADP
cana-3288	99	61	gallager	gallager	NOUN
cana-3288	99	62	in	in	ADP
cana-3288	99	63	1962	1962	NUM
cana-3288	99	64	,	,	PUNCT
cana-3288	99	65	known	know	VERB
cana-3288	99	66	for	for	ADP
cana-3288	99	67	their	their	PRON
cana-3288	99	68	sparse	sparse	ADJ
cana-3288	99	69	parity	parity	NOUN
cana-3288	99	70	-	-	PUNCT
cana-3288	99	71	check	check	NOUN
cana-3288	99	72	matrices	matrix	NOUN
cana-3288	99	73	and	and	CCONJ
cana-3288	99	74	efficient	efficient	ADJ
cana-3288	99	75	decoding	decode	VERB
cana-3288	99	76	capabilities	capability	NOUN
cana-3288	99	77	through	through	ADP
cana-3288	99	78	iterative	iterative	NOUN
cana-3288	99	79	algorithms	algorithm	NOUN
cana-3288	99	80	like	like	ADP
cana-3288	99	81	belief	belief	NOUN
cana-3288	99	82	propagation[7	propagation[7	PROPN
cana-3288	99	83	,	,	PUNCT
cana-3288	99	84	6	6	NUM
cana-3288	99	85	]	]	PUNCT
cana-3288	99	86	.	.	PUNCT
cana-3288	100	1	ldpc	ldpc	PROPN
cana-3288	100	2	codes	code	NOUN
cana-3288	100	3	were	be	AUX
cana-3288	100	4	largely	largely	ADV
cana-3288	100	5	forgotten	forget	VERB
cana-3288	100	6	until	until	ADP
cana-3288	100	7	the	the	DET
cana-3288	100	8	1990s	1990s	NUM
cana-3288	100	9	,	,	PUNCT
cana-3288	100	10	when	when	SCONJ
cana-3288	100	11	they	they	PRON
cana-3288	100	12	were	be	AUX
cana-3288	100	13	rediscovered	rediscover	VERB
cana-3288	100	14	and	and	CCONJ
cana-3288	100	15	subsequently	subsequently	ADV
cana-3288	100	16	became	became	AUX
cana-3288	100	17	widely	widely	ADV
cana-3288	100	18	used	use	VERB
cana-3288	100	19	in	in	ADP
cana-3288	100	20	modern	modern	ADJ
cana-3288	100	21	communication	communication	NOUN
cana-3288	100	22	systems	system	NOUN
cana-3288	100	23	,	,	PUNCT
cana-3288	100	24	such	such	ADJ
cana-3288	100	25	as	as	ADP
cana-3288	100	26	satellite	satellite	NOUN
cana-3288	100	27	transmissions	transmission	NOUN
cana-3288	100	28	and	and	CCONJ
cana-3288	100	29	5	5	NUM
cana-3288	100	30	g	g	NOUN
cana-3288	100	31	networks	network	NOUN
cana-3288	100	32	,	,	PUNCT
cana-3288	100	33	due	due	ADP
cana-3288	100	34	to	to	ADP
cana-3288	100	35	their	their	PRON
cana-3288	100	36	error	error	NOUN
cana-3288	100	37	-	-	PUNCT
cana-3288	100	38	correcting	correct	VERB
cana-3288	100	39	performance	performance	NOUN
cana-3288	100	40	close	close	ADV
cana-3288	100	41	to	to	ADP
cana-3288	100	42	the	the	DET
cana-3288	100	43	shannon	shannon	PROPN
cana-3288	100	44	limit.the	limit.the	DET
cana-3288	100	45	use	use	NOUN
cana-3288	100	46	of	of	ADP
cana-3288	100	47	ldpc	ldpc	NOUN
cana-3288	100	48	codes	code	NOUN
cana-3288	100	49	in	in	ADP
cana-3288	100	50	cryptography	cryptography	NOUN
cana-3288	100	51	is	be	AUX
cana-3288	100	52	a	a	DET
cana-3288	100	53	relatively	relatively	ADV
cana-3288	100	54	recent	recent	ADJ
cana-3288	100	55	development	development	NOUN
cana-3288	100	56	,	,	PUNCT
cana-3288	100	57	aimed	aim	VERB
cana-3288	100	58	primarily	primarily	ADV
cana-3288	100	59	at	at	ADP
cana-3288	100	60	addressing	address	VERB
cana-3288	100	61	the	the	DET
cana-3288	100	62	key	key	ADJ
cana-3288	100	63	size	size	NOUN
cana-3288	100	64	and	and	CCONJ
cana-3288	100	65	decoding	decode	VERB
cana-3288	100	66	efficiency	efficiency	NOUN
cana-3288	100	67	issues	issue	NOUN
cana-3288	100	68	in	in	ADP
cana-3288	100	69	code	code	NOUN
cana-3288	100	70	-	-	PUNCT
cana-3288	100	71	based	base	VERB
cana-3288	100	72	cryptosystems	cryptosystem	NOUN
cana-3288	100	73	.	.	PUNCT
cana-3288	101	1	the	the	DET
cana-3288	101	2	sparse	sparse	ADJ
cana-3288	101	3	nature	nature	NOUN
cana-3288	101	4	of	of	ADP
cana-3288	101	5	ldpc	ldpc	NOUN
cana-3288	101	6	codes	code	NOUN
cana-3288	101	7	allows	allow	VERB
cana-3288	101	8	for	for	ADP
cana-3288	101	9	a	a	DET
cana-3288	101	10	significant	significant	ADJ
cana-3288	101	11	reduction	reduction	NOUN
cana-3288	101	12	in	in	ADP
cana-3288	101	13	key	key	ADJ
cana-3288	101	14	size	size	NOUN
cana-3288	101	15	while	while	SCONJ
cana-3288	101	16	maintaining	maintain	VERB
cana-3288	101	17	strong	strong	ADJ
cana-3288	101	18	error	error	NOUN
cana-3288	101	19	correction	correction	NOUN
cana-3288	101	20	properties	property	NOUN
cana-3288	101	21	.	.	PUNCT
cana-3288	102	1	several	several	ADJ
cana-3288	102	2	studies	study	NOUN
cana-3288	102	3	have	have	AUX
cana-3288	102	4	explored	explore	VERB
cana-3288	102	5	the	the	DET
cana-3288	102	6	integration	integration	NOUN
cana-3288	102	7	of	of	ADP
cana-3288	102	8	ldpc	ldpc	NOUN
cana-3288	102	9	codes	code	NOUN
cana-3288	102	10	into	into	ADP
cana-3288	102	11	cryptographic	cryptographic	ADJ
cana-3288	102	12	protocols	protocol	NOUN
cana-3288	102	13	,	,	PUNCT
cana-3288	102	14	including	include	VERB
cana-3288	102	15	variants	variant	NOUN
cana-3288	102	16	of	of	ADP
cana-3288	102	17	the	the	DET
cana-3288	102	18	mceliece	mceliece	NOUN
cana-3288	102	19	and	and	CCONJ
cana-3288	102	20	niederreiter	niederreiter	ADJ
cana-3288	102	21	cryptosystems	cryptosystem	NOUN
cana-3288	102	22	,	,	PUNCT
cana-3288	102	23	to	to	PART
cana-3288	102	24	optimize	optimize	VERB
cana-3288	102	25	performance	performance	NOUN
cana-3288	102	26	.	.	PUNCT
cana-3288	103	1	communications	communication	NOUN
cana-3288	103	2	on	on	ADP
cana-3288	103	3	applied	apply	VERB
cana-3288	103	4	nonlinear	nonlinear	ADJ
cana-3288	103	5	analysis	analysis	NOUN
cana-3288	103	6	issn	issn	NOUN
cana-3288	103	7	:	:	PUNCT
cana-3288	103	8	1074	1074	NUM
cana-3288	103	9	-	-	PUNCT
cana-3288	103	10	133x	133x	NUM
cana-3288	103	11	vol	vol	NOUN
cana-3288	103	12	32	32	NUM
cana-3288	103	13	no	no	NOUN
cana-3288	103	14	.	.	PUNCT
cana-3288	104	1	6s	6s	NUM
cana-3288	104	2	(	(	PUNCT
cana-3288	104	3	2025	2025	NUM
cana-3288	104	4	)	)	PUNCT
cana-3288	104	5	220	220	NUM
cana-3288	104	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3288	104	7	key	key	ADJ
cana-3288	104	8	size	size	NOUN
cana-3288	104	9	reduction	reduction	NOUN
cana-3288	104	10	:	:	PUNCT
cana-3288	104	11	one	one	NUM
cana-3288	104	12	of	of	ADP
cana-3288	104	13	the	the	DET
cana-3288	104	14	most	most	ADV
cana-3288	104	15	significant	significant	ADJ
cana-3288	104	16	advantages	advantage	NOUN
cana-3288	104	17	of	of	ADP
cana-3288	104	18	ldpc	ldpc	NOUN
cana-3288	104	19	codes	code	NOUN
cana-3288	104	20	is	be	AUX
cana-3288	104	21	their	their	PRON
cana-3288	104	22	potential	potential	NOUN
cana-3288	104	23	to	to	PART
cana-3288	104	24	reduce	reduce	VERB
cana-3288	104	25	the	the	DET
cana-3288	104	26	size	size	NOUN
cana-3288	104	27	of	of	ADP
cana-3288	104	28	the	the	DET
cana-3288	104	29	public	public	ADJ
cana-3288	104	30	and	and	CCONJ
cana-3288	104	31	private	private	ADJ
cana-3288	104	32	keys	key	NOUN
cana-3288	104	33	in	in	ADP
cana-3288	104	34	code	code	NOUN
cana-3288	104	35	-	-	PUNCT
cana-3288	104	36	based	base	VERB
cana-3288	104	37	cryptosystems	cryptosystem	NOUN
cana-3288	104	38	.	.	PUNCT
cana-3288	105	1	for	for	ADP
cana-3288	105	2	instance	instance	NOUN
cana-3288	105	3	,	,	PUNCT
cana-3288	105	4	researchers	researcher	NOUN
cana-3288	105	5	have	have	AUX
cana-3288	105	6	demonstrated	demonstrate	VERB
cana-3288	105	7	that	that	SCONJ
cana-3288	105	8	by	by	ADP
cana-3288	105	9	replacing	replace	VERB
cana-3288	105	10	goppa	goppa	ADJ
cana-3288	105	11	codes	code	NOUN
cana-3288	105	12	with	with	ADP
cana-3288	105	13	ldpc	ldpc	NOUN
cana-3288	105	14	codes	code	NOUN
cana-3288	105	15	,	,	PUNCT
cana-3288	105	16	the	the	DET
cana-3288	105	17	public	public	ADJ
cana-3288	105	18	key	key	ADJ
cana-3288	105	19	size	size	NOUN
cana-3288	105	20	in	in	ADP
cana-3288	105	21	systems	system	NOUN
cana-3288	105	22	like	like	ADP
cana-3288	105	23	niederreiter	niederreiter	NOUN
cana-3288	105	24	can	can	AUX
cana-3288	105	25	be	be	AUX
cana-3288	105	26	reduced	reduce	VERB
cana-3288	105	27	by	by	ADP
cana-3288	105	28	orders	order	NOUN
cana-3288	105	29	of	of	ADP
cana-3288	105	30	magnitude	magnitude	NOUN
cana-3288	105	31	,	,	PUNCT
cana-3288	105	32	making	make	VERB
cana-3288	105	33	them	they	PRON
cana-3288	105	34	more	more	ADV
cana-3288	105	35	suitable	suitable	ADJ
cana-3288	105	36	for	for	ADP
cana-3288	105	37	practical	practical	ADJ
cana-3288	105	38	applications	application	NOUN
cana-3288	105	39	.	.	PUNCT
cana-3288	106	1	decoding	decode	VERB
cana-3288	106	2	efficiency	efficiency	NOUN
cana-3288	106	3	:	:	PUNCT
cana-3288	106	4	ldpc	ldpc	NOUN
cana-3288	106	5	codes	code	NOUN
cana-3288	106	6	are	be	AUX
cana-3288	106	7	also	also	ADV
cana-3288	106	8	known	know	VERB
cana-3288	106	9	for	for	ADP
cana-3288	106	10	their	their	PRON
cana-3288	106	11	efficient	efficient	ADJ
cana-3288	106	12	decoding	decode	VERB
cana-3288	106	13	algorithms	algorithm	NOUN
cana-3288	106	14	,	,	PUNCT
cana-3288	106	15	such	such	ADJ
cana-3288	106	16	as	as	ADP
cana-3288	106	17	belief	belief	NOUN
cana-3288	106	18	propagation	propagation	NOUN
cana-3288	106	19	,	,	PUNCT
cana-3288	106	20	which	which	PRON
cana-3288	106	21	operate	operate	VERB
cana-3288	106	22	in	in	ADP
cana-3288	106	23	polynomial	polynomial	ADJ
cana-3288	106	24	time	time	NOUN
cana-3288	106	25	and	and	CCONJ
cana-3288	106	26	offer	offer	VERB
cana-3288	106	27	substantial	substantial	ADJ
cana-3288	106	28	performance	performance	NOUN
cana-3288	106	29	improvements	improvement	NOUN
cana-3288	106	30	over	over	ADP
cana-3288	106	31	traditional	traditional	ADJ
cana-3288	106	32	error	error	NOUN
cana-3288	106	33	-	-	PUNCT
cana-3288	106	34	correcting	correct	VERB
cana-3288	106	35	codes	code	NOUN
cana-3288	106	36	.	.	PUNCT
cana-3288	107	1	this	this	PRON
cana-3288	107	2	makes	make	VERB
cana-3288	107	3	them	they	PRON
cana-3288	107	4	particularly	particularly	ADV
cana-3288	107	5	attractive	attractive	ADJ
cana-3288	107	6	for	for	ADP
cana-3288	107	7	use	use	NOUN
cana-3288	107	8	in	in	ADP
cana-3288	107	9	cryptographic	cryptographic	ADJ
cana-3288	107	10	systems	system	NOUN
cana-3288	107	11	,	,	PUNCT
cana-3288	107	12	where	where	SCONJ
cana-3288	107	13	efficient	efficient	ADJ
cana-3288	107	14	decryption	decryption	NOUN
cana-3288	107	15	is	be	AUX
cana-3288	107	16	essential	essential	ADJ
cana-3288	107	17	for	for	ADP
cana-3288	107	18	real	real	ADJ
cana-3288	107	19	-	-	PUNCT
cana-3288	107	20	time	time	NOUN
cana-3288	107	21	applications	application	NOUN
cana-3288	107	22	.	.	PUNCT
cana-3288	108	1	several	several	ADJ
cana-3288	108	2	studies	study	NOUN
cana-3288	108	3	have	have	AUX
cana-3288	108	4	shown	show	VERB
cana-3288	108	5	that	that	SCONJ
cana-3288	108	6	the	the	DET
cana-3288	108	7	use	use	NOUN
cana-3288	108	8	of	of	ADP
cana-3288	108	9	ldpc	ldpc	NOUN
cana-3288	108	10	codes	code	NOUN
cana-3288	108	11	in	in	ADP
cana-3288	108	12	the	the	DET
cana-3288	108	13	niederreiter	niederreiter	NOUN
cana-3288	108	14	framework	framework	NOUN
cana-3288	108	15	can	can	AUX
cana-3288	108	16	significantly	significantly	ADV
cana-3288	108	17	enhance	enhance	VERB
cana-3288	108	18	decoding	decode	VERB
cana-3288	108	19	speed	speed	NOUN
cana-3288	108	20	while	while	SCONJ
cana-3288	108	21	maintaining	maintain	VERB
cana-3288	108	22	error	error	NOUN
cana-3288	108	23	correction	correction	NOUN
cana-3288	108	24	performance	performance	NOUN
cana-3288	108	25	,	,	PUNCT
cana-3288	108	26	leading	lead	VERB
cana-3288	108	27	to	to	ADP
cana-3288	108	28	a	a	DET
cana-3288	108	29	more	more	ADV
cana-3288	108	30	resource	resource	NOUN
cana-3288	108	31	-	-	PUNCT
cana-3288	108	32	efficient	efficient	ADJ
cana-3288	108	33	cryptosystem	cryptosystem	NOUN
cana-3288	108	34	.	.	PUNCT
cana-3288	109	1	despite	despite	SCONJ
cana-3288	109	2	their	their	PRON
cana-3288	109	3	advantages	advantage	NOUN
cana-3288	109	4	,	,	PUNCT
cana-3288	109	5	the	the	DET
cana-3288	109	6	integration	integration	NOUN
cana-3288	109	7	of	of	ADP
cana-3288	109	8	ldpc	ldpc	NOUN
cana-3288	109	9	codes	code	NOUN
cana-3288	109	10	into	into	ADP
cana-3288	109	11	cryptography	cryptography	NOUN
cana-3288	109	12	presents	present	NOUN
cana-3288	109	13	certain	certain	ADJ
cana-3288	109	14	challenges	challenge	NOUN
cana-3288	109	15	,	,	PUNCT
cana-3288	109	16	such	such	ADJ
cana-3288	109	17	as	as	ADP
cana-3288	109	18	balancing	balance	VERB
cana-3288	109	19	security	security	NOUN
cana-3288	109	20	and	and	CCONJ
cana-3288	109	21	performance	performance	NOUN
cana-3288	109	22	.	.	PUNCT
cana-3288	110	1	some	some	DET
cana-3288	110	2	researchers	researcher	NOUN
cana-3288	110	3	have	have	AUX
cana-3288	110	4	expressed	express	VERB
cana-3288	110	5	concerns	concern	NOUN
cana-3288	110	6	that	that	SCONJ
cana-3288	110	7	the	the	DET
cana-3288	110	8	structured	structured	ADJ
cana-3288	110	9	nature	nature	NOUN
cana-3288	110	10	of	of	ADP
cana-3288	110	11	ldpc	ldpc	NOUN
cana-3288	110	12	codes	code	NOUN
cana-3288	110	13	may	may	AUX
cana-3288	110	14	expose	expose	VERB
cana-3288	110	15	the	the	DET
cana-3288	110	16	cryptosystem	cryptosystem	NOUN
cana-3288	110	17	to	to	ADP
cana-3288	110	18	certain	certain	ADJ
cana-3288	110	19	attacks	attack	NOUN
cana-3288	110	20	,	,	PUNCT
cana-3288	110	21	but	but	CCONJ
cana-3288	110	22	ongoing	ongoing	ADJ
cana-3288	110	23	work	work	NOUN
cana-3288	110	24	aims	aim	VERB
cana-3288	110	25	to	to	PART
cana-3288	110	26	address	address	VERB
cana-3288	110	27	these	these	DET
cana-3288	110	28	vulnerabilities	vulnerability	NOUN
cana-3288	110	29	while	while	SCONJ
cana-3288	110	30	preserving	preserve	VERB
cana-3288	110	31	the	the	DET
cana-3288	110	32	performance	performance	NOUN
cana-3288	110	33	benefits	benefit	NOUN
cana-3288	110	34	of	of	ADP
cana-3288	110	35	ldpc	ldpc	NOUN
cana-3288	110	36	-	-	PUNCT
cana-3288	110	37	based	base	VERB
cana-3288	110	38	designs.resource	designs.resource	PROPN
cana-3288	110	39	-	-	PUNCT
cana-3288	110	40	efficient	efficient	ADJ
cana-3288	110	41	cryptography	cryptography	NOUN
cana-3288	110	42	for	for	ADP
cana-3288	110	43	iot	iot	NOUN
cana-3288	110	44	the	the	DET
cana-3288	110	45	rise	rise	NOUN
cana-3288	110	46	of	of	ADP
cana-3288	110	47	the	the	DET
cana-3288	110	48	internet	internet	NOUN
cana-3288	110	49	of	of	ADP
cana-3288	110	50	things	thing	NOUN
cana-3288	110	51	(	(	PUNCT
cana-3288	110	52	iot	iot	NOUN
cana-3288	110	53	)	)	PUNCT
cana-3288	110	54	has	have	AUX
cana-3288	110	55	added	add	VERB
cana-3288	110	56	new	new	ADJ
cana-3288	110	57	constraints	constraint	NOUN
cana-3288	110	58	to	to	ADP
cana-3288	110	59	cryptographic	cryptographic	ADJ
cana-3288	110	60	systems	system	NOUN
cana-3288	110	61	,	,	PUNCT
cana-3288	110	62	necessitating	necessitate	VERB
cana-3288	110	63	the	the	DET
cana-3288	110	64	development	development	NOUN
cana-3288	110	65	of	of	ADP
cana-3288	110	66	lightweight	lightweight	NOUN
cana-3288	110	67	and	and	CCONJ
cana-3288	110	68	resourceefficient	resourceefficient	ADJ
cana-3288	110	69	solutions[1	solutions[1	NOUN
cana-3288	110	70	,	,	PUNCT
cana-3288	110	71	10	10	NUM
cana-3288	110	72	,	,	PUNCT
cana-3288	110	73	11	11	NUM
cana-3288	110	74	]	]	PUNCT
cana-3288	110	75	.	.	PUNCT
cana-3288	111	1	iot	iot	PROPN
cana-3288	111	2	devices	device	NOUN
cana-3288	111	3	are	be	AUX
cana-3288	111	4	typically	typically	ADV
cana-3288	111	5	limited	limit	VERB
cana-3288	111	6	in	in	ADP
cana-3288	111	7	terms	term	NOUN
cana-3288	111	8	of	of	ADP
cana-3288	111	9	processing	processing	NOUN
cana-3288	111	10	power	power	NOUN
cana-3288	111	11	,	,	PUNCT
cana-3288	111	12	memory	memory	NOUN
cana-3288	111	13	,	,	PUNCT
cana-3288	111	14	and	and	CCONJ
cana-3288	111	15	energy	energy	NOUN
cana-3288	111	16	consumption	consumption	NOUN
cana-3288	111	17	,	,	PUNCT
cana-3288	111	18	which	which	PRON
cana-3288	111	19	makes	make	VERB
cana-3288	111	20	conventional	conventional	ADJ
cana-3288	111	21	cryptographic	cryptographic	ADJ
cana-3288	111	22	schemes	scheme	NOUN
cana-3288	111	23	impractical	impractical	ADJ
cana-3288	111	24	for	for	ADP
cana-3288	111	25	such	such	ADJ
cana-3288	111	26	environments	environment	NOUN
cana-3288	111	27	.	.	PUNCT
cana-3288	112	1	as	as	ADP
cana-3288	112	2	a	a	DET
cana-3288	112	3	result	result	NOUN
cana-3288	112	4	,	,	PUNCT
cana-3288	112	5	significant	significant	ADJ
cana-3288	112	6	research	research	NOUN
cana-3288	112	7	has	have	AUX
cana-3288	112	8	focused	focus	VERB
cana-3288	112	9	on	on	ADP
cana-3288	112	10	adapting	adapt	VERB
cana-3288	112	11	post	post	ADJ
cana-3288	112	12	-	-	ADJ
cana-3288	112	13	quantum	quantum	ADJ
cana-3288	112	14	cryptographic	cryptographic	ADJ
cana-3288	112	15	algorithms	algorithm	NOUN
cana-3288	112	16	,	,	PUNCT
cana-3288	112	17	including	include	VERB
cana-3288	112	18	code	code	NOUN
cana-3288	112	19	-	-	PUNCT
cana-3288	112	20	based	base	VERB
cana-3288	112	21	systems	system	NOUN
cana-3288	112	22	,	,	PUNCT
cana-3288	112	23	for	for	ADP
cana-3288	112	24	iot	iot	NOUN
cana-3288	112	25	applications	application	NOUN
cana-3288	112	26	.	.	PUNCT
cana-3288	113	1	several	several	ADJ
cana-3288	113	2	studies	study	NOUN
cana-3288	113	3	have	have	AUX
cana-3288	113	4	proposed	propose	VERB
cana-3288	113	5	optimizations	optimization	NOUN
cana-3288	113	6	aimed	aim	VERB
cana-3288	113	7	at	at	ADP
cana-3288	113	8	making	make	VERB
cana-3288	113	9	code	code	NOUN
cana-3288	113	10	-	-	PUNCT
cana-3288	113	11	based	base	VERB
cana-3288	113	12	cryptosystems	cryptosystem	NOUN
cana-3288	113	13	,	,	PUNCT
cana-3288	113	14	such	such	ADJ
cana-3288	113	15	as	as	ADP
cana-3288	113	16	niederreiter	niederreiter	NOUN
cana-3288	113	17	,	,	PUNCT
cana-3288	113	18	more	more	ADV
cana-3288	113	19	suitable	suitable	ADJ
cana-3288	113	20	for	for	ADP
cana-3288	113	21	iot[9	iot[9	NUM
cana-3288	113	22	,	,	PUNCT
cana-3288	113	23	15	15	NUM
cana-3288	113	24	]	]	PUNCT
cana-3288	113	25	.	.	PUNCT
cana-3288	114	1	these	these	DET
cana-3288	114	2	efforts	effort	NOUN
cana-3288	114	3	generally	generally	ADV
cana-3288	114	4	focus	focus	VERB
cana-3288	114	5	on	on	ADP
cana-3288	114	6	reducing	reduce	VERB
cana-3288	114	7	key	key	ADJ
cana-3288	114	8	sizes	size	NOUN
cana-3288	114	9	,	,	PUNCT
cana-3288	114	10	minimizing	minimize	VERB
cana-3288	114	11	computational	computational	ADJ
cana-3288	114	12	overhead	overhead	NOUN
cana-3288	114	13	,	,	PUNCT
cana-3288	114	14	and	and	CCONJ
cana-3288	114	15	improving	improve	VERB
cana-3288	114	16	power	power	NOUN
cana-3288	114	17	efficiency	efficiency	NOUN
cana-3288	114	18	.	.	PUNCT
cana-3288	115	1	key	key	ADJ
cana-3288	115	2	size	size	NOUN
cana-3288	115	3	optimization	optimization	NOUN
cana-3288	115	4	:	:	PUNCT
cana-3288	115	5	one	one	NUM
cana-3288	115	6	of	of	ADP
cana-3288	115	7	the	the	DET
cana-3288	115	8	primary	primary	ADJ
cana-3288	115	9	challenges	challenge	NOUN
cana-3288	115	10	in	in	ADP
cana-3288	115	11	applying	apply	VERB
cana-3288	115	12	the	the	DET
cana-3288	115	13	niederreiter	niederreiter	NOUN
cana-3288	115	14	cryptosystem	cryptosystem	NOUN
cana-3288	115	15	in	in	ADP
cana-3288	115	16	iot	iot	ADJ
cana-3288	115	17	environments	environment	NOUN
cana-3288	115	18	is	be	AUX
cana-3288	115	19	its	its	PRON
cana-3288	115	20	large	large	ADJ
cana-3288	115	21	public	public	ADJ
cana-3288	115	22	key	key	ADJ
cana-3288	115	23	size	size	NOUN
cana-3288	115	24	.	.	PUNCT
cana-3288	116	1	research	research	NOUN
cana-3288	116	2	into	into	ADP
cana-3288	116	3	ldpc	ldpc	NOUN
cana-3288	116	4	and	and	CCONJ
cana-3288	116	5	quasi	quasi	ADJ
cana-3288	116	6	-	-	ADJ
cana-3288	116	7	cyclic	cyclic	ADJ
cana-3288	116	8	codes	code	NOUN
cana-3288	116	9	has	have	AUX
cana-3288	116	10	shown	show	VERB
cana-3288	116	11	that	that	SCONJ
cana-3288	116	12	it	it	PRON
cana-3288	116	13	is	be	AUX
cana-3288	116	14	possible	possible	ADJ
cana-3288	116	15	to	to	PART
cana-3288	116	16	reduce	reduce	VERB
cana-3288	116	17	key	key	ADJ
cana-3288	116	18	sizes	size	NOUN
cana-3288	116	19	without	without	ADP
cana-3288	116	20	compromising	compromise	VERB
cana-3288	116	21	security	security	NOUN
cana-3288	116	22	,	,	PUNCT
cana-3288	116	23	making	make	VERB
cana-3288	116	24	such	such	ADJ
cana-3288	116	25	cryptosystems	cryptosystem	NOUN
cana-3288	116	26	feasible	feasible	ADJ
cana-3288	116	27	for	for	ADP
cana-3288	116	28	iot	iot	ADJ
cana-3288	116	29	devices	device	NOUN
cana-3288	116	30	with	with	ADP
cana-3288	116	31	limited	limited	ADJ
cana-3288	116	32	storage	storage	NOUN
cana-3288	116	33	capacities.lightweight	capacities.lightweight	NOUN
cana-3288	116	34	decoding	decode	VERB
cana-3288	116	35	algorithms	algorithm	NOUN
cana-3288	116	36	:	:	PUNCT
cana-3288	116	37	since	since	SCONJ
cana-3288	116	38	iot	iot	PROPN
cana-3288	116	39	devices	device	NOUN
cana-3288	116	40	often	often	ADV
cana-3288	116	41	need	need	VERB
cana-3288	116	42	to	to	PART
cana-3288	116	43	perform	perform	VERB
cana-3288	116	44	decryption	decryption	NOUN
cana-3288	116	45	in	in	ADP
cana-3288	116	46	real	real	ADJ
cana-3288	116	47	time	time	NOUN
cana-3288	116	48	,	,	PUNCT
cana-3288	116	49	developing	develop	VERB
cana-3288	116	50	lightweight	lightweight	ADJ
cana-3288	116	51	decoding	decode	VERB
cana-3288	116	52	algorithms	algorithm	NOUN
cana-3288	116	53	is	be	AUX
cana-3288	116	54	crucial	crucial	ADJ
cana-3288	116	55	.	.	PUNCT
cana-3288	117	1	ldpc	ldpc	NOUN
cana-3288	117	2	codes	code	NOUN
cana-3288	117	3	,	,	PUNCT
cana-3288	117	4	with	with	ADP
cana-3288	117	5	their	their	PRON
cana-3288	117	6	efficient	efficient	ADJ
cana-3288	117	7	decoding	decode	VERB
cana-3288	117	8	processes	process	NOUN
cana-3288	117	9	,	,	PUNCT
cana-3288	117	10	provide	provide	VERB
cana-3288	117	11	a	a	DET
cana-3288	117	12	promising	promising	ADJ
cana-3288	117	13	avenue	avenue	NOUN
cana-3288	117	14	for	for	ADP
cana-3288	117	15	enhancing	enhance	VERB
cana-3288	117	16	the	the	DET
cana-3288	117	17	decryption	decryption	NOUN
cana-3288	117	18	speed	speed	NOUN
cana-3288	117	19	of	of	ADP
cana-3288	117	20	codebased	codebase	VERB
cana-3288	117	21	cryptosystems	cryptosystem	NOUN
cana-3288	117	22	.	.	PUNCT
cana-3288	118	1	studies	study	NOUN
cana-3288	118	2	have	have	AUX
cana-3288	118	3	demonstrated	demonstrate	VERB
cana-3288	118	4	that	that	SCONJ
cana-3288	118	5	ldpc	ldpc	NOUN
cana-3288	118	6	-	-	PUNCT
cana-3288	118	7	based	base	VERB
cana-3288	118	8	cryptosystems	cryptosystem	NOUN
cana-3288	118	9	can	can	AUX
cana-3288	118	10	achieve	achieve	VERB
cana-3288	118	11	faster	fast	ADV
cana-3288	118	12	decoding	decode	VERB
cana-3288	118	13	times	time	NOUN
cana-3288	118	14	,	,	PUNCT
cana-3288	118	15	reducing	reduce	VERB
cana-3288	118	16	the	the	DET
cana-3288	118	17	computational	computational	ADJ
cana-3288	118	18	burden	burden	NOUN
cana-3288	118	19	on	on	ADP
cana-3288	118	20	iot	iot	ADJ
cana-3288	118	21	devices	device	NOUN
cana-3288	118	22	.	.	PUNCT
cana-3288	119	1	energy	energy	NOUN
cana-3288	119	2	efficiency	efficiency	NOUN
cana-3288	119	3	:	:	PUNCT
cana-3288	119	4	power	power	NOUN
cana-3288	119	5	consumption	consumption	NOUN
cana-3288	119	6	is	be	AUX
cana-3288	119	7	another	another	DET
cana-3288	119	8	key	key	ADJ
cana-3288	119	9	concern	concern	NOUN
cana-3288	119	10	for	for	ADP
cana-3288	119	11	iot	iot	ADJ
cana-3288	119	12	devices	device	NOUN
cana-3288	119	13	.	.	PUNCT
cana-3288	120	1	recent	recent	ADJ
cana-3288	120	2	research	research	NOUN
cana-3288	120	3	has	have	AUX
cana-3288	120	4	explored	explore	VERB
cana-3288	120	5	how	how	SCONJ
cana-3288	120	6	low	low	ADJ
cana-3288	120	7	-	-	PUNCT
cana-3288	120	8	power	power	NOUN
cana-3288	120	9	designs	design	NOUN
cana-3288	120	10	for	for	ADP
cana-3288	120	11	cryptographic	cryptographic	ADJ
cana-3288	120	12	protocols	protocol	NOUN
cana-3288	120	13	can	can	AUX
cana-3288	120	14	be	be	AUX
cana-3288	120	15	achieved	achieve	VERB
cana-3288	120	16	by	by	ADP
cana-3288	120	17	optimizing	optimize	VERB
cana-3288	120	18	both	both	CCONJ
cana-3288	120	19	the	the	DET
cana-3288	120	20	hardware	hardware	NOUN
cana-3288	120	21	and	and	CCONJ
cana-3288	120	22	the	the	DET
cana-3288	120	23	cryptographic	cryptographic	ADJ
cana-3288	120	24	algorithms	algorithms	NOUN
cana-3288	120	25	themselves	themselves	PRON
cana-3288	120	26	.	.	PUNCT
cana-3288	121	1	ldpc	ldpc	NOUN
cana-3288	121	2	codes	code	NOUN
cana-3288	121	3	,	,	PUNCT
cana-3288	121	4	due	due	ADP
cana-3288	121	5	to	to	ADP
cana-3288	121	6	their	their	PRON
cana-3288	121	7	efficient	efficient	ADJ
cana-3288	121	8	error	error	NOUN
cana-3288	121	9	correction	correction	NOUN
cana-3288	121	10	mechanisms	mechanism	NOUN
cana-3288	121	11	,	,	PUNCT
cana-3288	121	12	can	can	AUX
cana-3288	121	13	reduce	reduce	VERB
cana-3288	121	14	the	the	DET
cana-3288	121	15	number	number	NOUN
cana-3288	121	16	of	of	ADP
cana-3288	121	17	computational	computational	ADJ
cana-3288	121	18	steps	step	NOUN
cana-3288	121	19	required	require	VERB
cana-3288	121	20	for	for	ADP
cana-3288	121	21	decryption	decryption	NOUN
cana-3288	121	22	,	,	PUNCT
cana-3288	121	23	resulting	result	VERB
cana-3288	121	24	in	in	ADP
cana-3288	121	25	lower	low	ADJ
cana-3288	121	26	energy	energy	NOUN
cana-3288	121	27	consumption	consumption	NOUN
cana-3288	121	28	.	.	PUNCT
cana-3288	122	1	the	the	DET
cana-3288	122	2	use	use	NOUN
cana-3288	122	3	of	of	ADP
cana-3288	122	4	ldpc	ldpc	NOUN
cana-3288	122	5	codes	code	NOUN
cana-3288	122	6	in	in	ADP
cana-3288	122	7	cryptography	cryptography	NOUN
cana-3288	122	8	,	,	PUNCT
cana-3288	122	9	particularly	particularly	ADV
cana-3288	122	10	for	for	ADP
cana-3288	122	11	resource	resource	NOUN
cana-3288	122	12	-	-	PUNCT
cana-3288	122	13	constrained	constrain	VERB
cana-3288	122	14	environments	environment	NOUN
cana-3288	122	15	like	like	ADP
cana-3288	122	16	iot	iot	NOUN
cana-3288	122	17	,	,	PUNCT
cana-3288	122	18	is	be	AUX
cana-3288	122	19	a	a	DET
cana-3288	122	20	growing	grow	VERB
cana-3288	122	21	area	area	NOUN
cana-3288	122	22	of	of	ADP
cana-3288	122	23	interest	interest	NOUN
cana-3288	122	24	.	.	PUNCT
cana-3288	123	1	by	by	ADP
cana-3288	123	2	leveraging	leverage	VERB
cana-3288	123	3	the	the	DET
cana-3288	123	4	efficiency	efficiency	NOUN
cana-3288	123	5	of	of	ADP
cana-3288	123	6	ldpc	ldpc	NOUN
cana-3288	123	7	codes	code	NOUN
cana-3288	123	8	,	,	PUNCT
cana-3288	123	9	it	it	PRON
cana-3288	123	10	is	be	AUX
cana-3288	123	11	possible	possible	ADJ
cana-3288	123	12	to	to	PART
cana-3288	123	13	significantly	significantly	ADV
cana-3288	123	14	reduce	reduce	VERB
cana-3288	123	15	the	the	DET
cana-3288	123	16	resource	resource	NOUN
cana-3288	123	17	requirements	requirement	NOUN
cana-3288	123	18	of	of	ADP
cana-3288	123	19	code	code	NOUN
cana-3288	123	20	-	-	PUNCT
cana-3288	123	21	based	base	VERB
cana-3288	123	22	cryptosystems	cryptosystem	NOUN
cana-3288	123	23	,	,	PUNCT
cana-3288	123	24	making	make	VERB
cana-3288	123	25	them	they	PRON
cana-3288	123	26	more	more	ADV
cana-3288	123	27	practical	practical	ADJ
cana-3288	123	28	for	for	ADP
cana-3288	123	29	realworld	realworld	PROPN
cana-3288	123	30	applications	application	NOUN
cana-3288	123	31	while	while	SCONJ
cana-3288	123	32	maintaining	maintain	VERB
cana-3288	123	33	quantum	quantum	ADJ
cana-3288	123	34	resistance	resistance	NOUN
cana-3288	123	35	.	.	PUNCT
cana-3288	124	1	this	this	DET
cana-3288	124	2	work	work	NOUN
cana-3288	124	3	builds	build	VERB
cana-3288	124	4	on	on	ADP
cana-3288	124	5	these	these	DET
cana-3288	124	6	advancements	advancement	NOUN
cana-3288	124	7	by	by	ADP
cana-3288	124	8	communications	communication	NOUN
cana-3288	124	9	on	on	ADP
cana-3288	124	10	applied	apply	VERB
cana-3288	124	11	nonlinear	nonlinear	ADJ
cana-3288	124	12	analysis	analysis	NOUN
cana-3288	124	13	issn	issn	NOUN
cana-3288	124	14	:	:	PUNCT
cana-3288	124	15	1074	1074	NUM
cana-3288	124	16	-	-	PUNCT
cana-3288	124	17	133x	133x	NUM
cana-3288	124	18	vol	vol	NOUN
cana-3288	124	19	32	32	NUM
cana-3288	124	20	no	no	NOUN
cana-3288	124	21	.	.	PUNCT
cana-3288	125	1	6s	6s	NUM
cana-3288	125	2	(	(	PUNCT
cana-3288	125	3	2025	2025	NUM
cana-3288	125	4	)	)	PUNCT
cana-3288	125	5	221	221	NUM
cana-3288	125	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3288	125	7	further	far	ADV
cana-3288	125	8	exploring	explore	VERB
cana-3288	125	9	the	the	DET
cana-3288	125	10	integration	integration	NOUN
cana-3288	125	11	of	of	ADP
cana-3288	125	12	ldpc	ldpc	NOUN
cana-3288	125	13	codes	code	NOUN
cana-3288	125	14	into	into	ADP
cana-3288	125	15	the	the	DET
cana-3288	125	16	niederreiter	niederreiter	NOUN
cana-3288	125	17	cryptosystem	cryptosystem	NOUN
cana-3288	125	18	,	,	PUNCT
cana-3288	125	19	aiming	aim	VERB
cana-3288	125	20	to	to	PART
cana-3288	125	21	create	create	VERB
cana-3288	125	22	a	a	DET
cana-3288	125	23	secure	secure	ADJ
cana-3288	125	24	,	,	PUNCT
cana-3288	125	25	efficient	efficient	ADJ
cana-3288	125	26	solution	solution	NOUN
cana-3288	125	27	for	for	ADP
cana-3288	125	28	iot	iot	ADJ
cana-3288	125	29	and	and	CCONJ
cana-3288	125	30	large	large	ADJ
cana-3288	125	31	-	-	PUNCT
cana-3288	125	32	scale	scale	NOUN
cana-3288	125	33	communications	communication	NOUN
cana-3288	125	34	.	.	PUNCT
cana-3288	126	1	1.1.1	1.1.1	NUM
cana-3288	126	2	proposed	propose	VERB
cana-3288	126	3	methodology	methodology	NOUN
cana-3288	126	4	overview	overview	NOUN
cana-3288	126	5	of	of	ADP
cana-3288	126	6	the	the	DET
cana-3288	126	7	optimization	optimization	NOUN
cana-3288	126	8	the	the	DET
cana-3288	126	9	proposed	propose	VERB
cana-3288	126	10	methodology	methodology	NOUN
cana-3288	126	11	integrates	integrate	VERB
cana-3288	126	12	ldpc	ldpc	NOUN
cana-3288	126	13	codes	code	NOUN
cana-3288	126	14	into	into	ADP
cana-3288	126	15	the	the	DET
cana-3288	126	16	niederreiter	niederreiter	NOUN
cana-3288	126	17	cryptosystem	cryptosystem	NOUN
cana-3288	126	18	to	to	PART
cana-3288	126	19	address	address	VERB
cana-3288	126	20	key	key	ADJ
cana-3288	126	21	challenges	challenge	NOUN
cana-3288	126	22	such	such	ADJ
cana-3288	126	23	as	as	ADP
cana-3288	126	24	large	large	ADJ
cana-3288	126	25	key	key	ADJ
cana-3288	126	26	sizes	size	NOUN
cana-3288	126	27	and	and	CCONJ
cana-3288	126	28	decoding	decode	VERB
cana-3288	126	29	inefficiencies	inefficiency	NOUN
cana-3288	126	30	.	.	PUNCT
cana-3288	127	1	the	the	DET
cana-3288	127	2	approach	approach	NOUN
cana-3288	127	3	involves	involve	VERB
cana-3288	127	4	modifying	modify	VERB
cana-3288	127	5	the	the	DET
cana-3288	127	6	key	key	ADJ
cana-3288	127	7	generation	generation	NOUN
cana-3288	127	8	,	,	PUNCT
cana-3288	127	9	encryption	encryption	NOUN
cana-3288	127	10	,	,	PUNCT
cana-3288	127	11	and	and	CCONJ
cana-3288	127	12	decryption	decryption	NOUN
cana-3288	127	13	phases	phase	NOUN
cana-3288	127	14	to	to	PART
cana-3288	127	15	exploit	exploit	VERB
cana-3288	127	16	the	the	DET
cana-3288	127	17	sparse	sparse	ADJ
cana-3288	127	18	structure	structure	NOUN
cana-3288	127	19	and	and	CCONJ
cana-3288	127	20	efficient	efficient	ADJ
cana-3288	127	21	error	error	NOUN
cana-3288	127	22	-	-	PUNCT
cana-3288	127	23	correcting	correct	VERB
cana-3288	127	24	capabilities	capability	NOUN
cana-3288	127	25	of	of	ADP
cana-3288	127	26	ldpc	ldpc	NOUN
cana-3288	127	27	codes	code	NOUN
cana-3288	127	28	.	.	PUNCT
cana-3288	128	1	key	key	ADJ
cana-3288	128	2	generation	generation	NOUN
cana-3288	128	3	process	process	NOUN
cana-3288	128	4	1	1	NUM
cana-3288	128	5	.	.	PUNCT
cana-3288	128	6	matrix	matrix	NOUN
cana-3288	128	7	selection	selection	NOUN
cana-3288	128	8	:	:	PUNCT
cana-3288	128	9	•	•	NOUN
cana-3288	128	10	generate	generate	VERB
cana-3288	128	11	a	a	DET
cana-3288	128	12	sparse	sparse	ADJ
cana-3288	128	13	parity	parity	NOUN
cana-3288	128	14	-	-	PUNCT
cana-3288	128	15	check	check	NOUN
cana-3288	128	16	matrix	matrix	NOUN
cana-3288	128	17	h	h	NOUN
cana-3288	128	18	of	of	ADP
cana-3288	128	19	dimensions	dimension	NOUN
cana-3288	128	20	m	m	VERB
cana-3288	128	21	×	×	NOUN
cana-3288	128	22	n	n	CCONJ
cana-3288	128	23	,	,	PUNCT
cana-3288	128	24	where	where	SCONJ
cana-3288	128	25	m	m	VERB
cana-3288	128	26	≪	≪	VERB
cana-3288	128	27	n.	n.	NOUN
cana-3288	128	28	•	•	ADP
cana-3288	128	29	the	the	DET
cana-3288	128	30	sparsity	sparsity	NOUN
cana-3288	128	31	ensures	ensure	VERB
cana-3288	128	32	lightweight	lightweight	ADJ
cana-3288	128	33	key	key	ADJ
cana-3288	128	34	storage	storage	NOUN
cana-3288	128	35	and	and	CCONJ
cana-3288	128	36	efficient	efficient	ADJ
cana-3288	128	37	matrix	matrix	NOUN
cana-3288	128	38	operations	operation	NOUN
cana-3288	128	39	.	.	PUNCT
cana-3288	129	1	2	2	X
cana-3288	129	2	.	.	X
cana-3288	129	3	public	public	ADJ
cana-3288	129	4	key	key	ADJ
cana-3288	129	5	construction	construction	NOUN
cana-3288	129	6	:	:	PUNCT
cana-3288	129	7	•	•	NUM
cana-3288	129	8	derive	derive	VERB
cana-3288	129	9	the	the	DET
cana-3288	129	10	generator	generator	NOUN
cana-3288	129	11	matrix	matrix	NOUN
cana-3288	129	12	g	g	NOUN
cana-3288	129	13	from	from	ADP
cana-3288	129	14	h	h	NOUN
cana-3288	129	15	,	,	PUNCT
cana-3288	129	16	ensuring	ensure	VERB
cana-3288	129	17	it	it	PRON
cana-3288	129	18	satisfies	satisfy	VERB
cana-3288	129	19	specific	specific	ADJ
cana-3288	129	20	cryptographic	cryptographic	ADJ
cana-3288	129	21	properties	property	NOUN
cana-3288	129	22	.	.	PUNCT
cana-3288	130	1	•	•	NUM
cana-3288	130	2	apply	apply	VERB
cana-3288	130	3	random	random	ADJ
cana-3288	130	4	permutations	permutation	NOUN
cana-3288	130	5	and	and	CCONJ
cana-3288	130	6	scrambling	scramble	VERB
cana-3288	130	7	operations	operation	NOUN
cana-3288	130	8	to	to	PART
cana-3288	130	9	mask	mask	VERB
cana-3288	130	10	the	the	DET
cana-3288	130	11	ldpc	ldpc	NOUN
cana-3288	130	12	structure	structure	NOUN
cana-3288	130	13	,	,	PUNCT
cana-3288	130	14	enhancing	enhance	VERB
cana-3288	130	15	security	security	NOUN
cana-3288	130	16	.	.	PUNCT
cana-3288	131	1	encryption	encryption	NOUN
cana-3288	131	2	algorithm	algorithm	NOUN
cana-3288	131	3	given	give	VERB
cana-3288	131	4	plaintext	plaintext	NOUN
cana-3288	131	5	p	p	NOUN
cana-3288	131	6	and	and	CCONJ
cana-3288	131	7	public	public	ADJ
cana-3288	131	8	key	key	ADJ
cana-3288	131	9	h	h	NOUN
cana-3288	131	10	:	:	PUNCT
cana-3288	131	11	1	1	X
cana-3288	131	12	.	.	X
cana-3288	131	13	random	random	ADJ
cana-3288	131	14	error	error	NOUN
cana-3288	131	15	vector	vector	NOUN
cana-3288	131	16	:	:	PUNCT
cana-3288	131	17	generate	generate	VERB
cana-3288	131	18	a	a	DET
cana-3288	131	19	random	random	ADJ
cana-3288	131	20	error	error	NOUN
cana-3288	131	21	vector	vector	NOUN
cana-3288	131	22	e	e	NOUN
cana-3288	131	23	with	with	ADP
cana-3288	131	24	a	a	DET
cana-3288	131	25	fixed	fix	VERB
cana-3288	131	26	hamming	hamming	NOUN
cana-3288	131	27	weight	weight	NOUN
cana-3288	131	28	w	w	NOUN
cana-3288	131	29	,	,	PUNCT
cana-3288	131	30	ensuring	ensure	VERB
cana-3288	131	31	errors	error	NOUN
cana-3288	131	32	fall	fall	VERB
cana-3288	131	33	within	within	ADP
cana-3288	131	34	the	the	DET
cana-3288	131	35	ldpc	ldpc	NOUN
cana-3288	131	36	code	code	PROPN
cana-3288	131	37	’s	’s	PART
cana-3288	131	38	correcting	correct	VERB
cana-3288	131	39	capability	capability	NOUN
cana-3288	131	40	.	.	PUNCT
cana-3288	132	1	2	2	X
cana-3288	132	2	.	.	X
cana-3288	132	3	ciphertext	ciphertext	ADJ
cana-3288	132	4	formation	formation	NOUN
cana-3288	132	5	:	:	PUNCT
cana-3288	132	6	•	•	NUM
cana-3288	132	7	compute	compute	NOUN
cana-3288	132	8	c	c	NOUN
cana-3288	132	9	=	=	SYM
cana-3288	132	10	p.h	p.h	PROPN
cana-3288	132	11	+	+	CCONJ
cana-3288	132	12	ec	ec	PROPN
cana-3288	132	13	,	,	PUNCT
cana-3288	133	1	where	where	SCONJ
cana-3288	133	2	“	"	PUNCT
cana-3288	133	3	.	.	PUNCT
cana-3288	133	4	”	"	PUNCT
cana-3288	133	5	denotes	denote	NOUN
cana-3288	133	6	matrix	matrix	NOUN
cana-3288	133	7	multiplication	multiplication	NOUN
cana-3288	133	8	.	.	PUNCT
cana-3288	134	1	•	•	NUM
cana-3288	134	2	transmit	transmit	NOUN
cana-3288	134	3	c	c	PROPN
cana-3288	134	4	as	as	ADP
cana-3288	134	5	the	the	DET
cana-3288	134	6	encrypted	encrypt	VERB
cana-3288	134	7	message	message	NOUN
cana-3288	134	8	.	.	PUNCT
cana-3288	135	1	decryption	decryption	NOUN
cana-3288	135	2	algorithm	algorithm	NOUN
cana-3288	135	3	using	use	VERB
cana-3288	135	4	the	the	DET
cana-3288	135	5	private	private	ADJ
cana-3288	135	6	key	key	ADJ
cana-3288	135	7	h	h	NOUN
cana-3288	135	8	and	and	CCONJ
cana-3288	135	9	received	receive	VERB
cana-3288	135	10	ciphertext	ciphertext	NOUN
cana-3288	135	11	c	c	NOUN
cana-3288	135	12	:	:	PUNCT
cana-3288	135	13	1	1	X
cana-3288	135	14	.	.	X
cana-3288	135	15	error	error	NOUN
cana-3288	135	16	syndromes	syndrome	NOUN
cana-3288	135	17	:	:	PUNCT
cana-3288	135	18	•	•	NUM
cana-3288	135	19	compute	compute	VERB
cana-3288	135	20	the	the	DET
cana-3288	135	21	syndrome	syndrome	NOUN
cana-3288	135	22	s	s	PART
cana-3288	135	23	=	=	X
cana-3288	135	24	c.ht	c.ht	PROPN
cana-3288	135	25	.	.	PUNCT
cana-3288	135	26	•	•	NUM
cana-3288	135	27	use	use	VERB
cana-3288	135	28	iterative	iterative	NOUN
cana-3288	135	29	decoding	decode	VERB
cana-3288	135	30	algorithms	algorithm	NOUN
cana-3288	135	31	,	,	PUNCT
cana-3288	135	32	such	such	ADJ
cana-3288	135	33	as	as	ADP
cana-3288	135	34	belief	belief	NOUN
cana-3288	135	35	propagation	propagation	NOUN
cana-3288	135	36	,	,	PUNCT
cana-3288	135	37	to	to	PART
cana-3288	135	38	recover	recover	VERB
cana-3288	135	39	e.	e.	PROPN
cana-3288	135	40	2	2	PROPN
cana-3288	135	41	.	.	PUNCT
cana-3288	135	42	plaintext	plaintext	NOUN
cana-3288	135	43	recovery	recovery	NOUN
cana-3288	135	44	:	:	PUNCT
cana-3288	135	45	extract	extract	VERB
cana-3288	135	46	the	the	DET
cana-3288	135	47	original	original	ADJ
cana-3288	135	48	plaintext	plaintext	NOUN
cana-3288	135	49	p	p	NOUN
cana-3288	135	50	using	use	VERB
cana-3288	135	51	p	p	X
cana-3288	135	52	=	=	X
cana-3288	135	53	(	(	PUNCT
cana-3288	135	54	c	c	NOUN
cana-3288	135	55	−	−	NOUN
cana-3288	135	56	e).g−1	e).g−1	PROPN
cana-3288	135	57	.	.	PUNCT
cana-3288	136	1	integration	integration	NOUN
cana-3288	136	2	of	of	ADP
cana-3288	136	3	ldpc	ldpc	NOUN
cana-3288	136	4	codes	code	VERB
cana-3288	136	5	the	the	DET
cana-3288	136	6	ldpc	ldpc	NOUN
cana-3288	136	7	structure	structure	NOUN
cana-3288	136	8	is	be	AUX
cana-3288	136	9	integrated	integrate	VERB
cana-3288	136	10	at	at	ADP
cana-3288	136	11	each	each	DET
cana-3288	136	12	step	step	NOUN
cana-3288	136	13	to	to	PART
cana-3288	136	14	achieve	achieve	VERB
cana-3288	136	15	:	:	PUNCT
cana-3288	136	16	1	1	X
cana-3288	136	17	.	.	X
cana-3288	136	18	efficient	efficient	ADJ
cana-3288	136	19	encoding	encoding	NOUN
cana-3288	136	20	:	:	PUNCT
cana-3288	136	21	the	the	DET
cana-3288	136	22	sparse	sparse	ADJ
cana-3288	136	23	matrices	matrix	NOUN
cana-3288	136	24	reduce	reduce	VERB
cana-3288	136	25	computational	computational	ADJ
cana-3288	136	26	overhead	overhead	NOUN
cana-3288	136	27	during	during	ADP
cana-3288	136	28	encryption	encryption	NOUN
cana-3288	136	29	.	.	PUNCT
cana-3288	137	1	2	2	X
cana-3288	137	2	.	.	X
cana-3288	137	3	enhanced	enhance	VERB
cana-3288	137	4	decoding	decoding	NOUN
cana-3288	137	5	:	:	PUNCT
cana-3288	137	6	iterative	iterative	NOUN
cana-3288	137	7	algorithms	algorithm	NOUN
cana-3288	137	8	ensure	ensure	VERB
cana-3288	137	9	faster	fast	ADJ
cana-3288	137	10	recovery	recovery	NOUN
cana-3288	137	11	of	of	ADP
cana-3288	137	12	plaintexts	plaintexts	NOUN
cana-3288	137	13	,	,	PUNCT
cana-3288	137	14	even	even	ADV
cana-3288	137	15	in	in	ADP
cana-3288	137	16	high	high	ADJ
cana-3288	137	17	error	error	NOUN
cana-3288	137	18	environments	environment	NOUN
cana-3288	137	19	.	.	PUNCT
cana-3288	138	1	communications	communication	NOUN
cana-3288	138	2	on	on	ADP
cana-3288	138	3	applied	apply	VERB
cana-3288	138	4	nonlinear	nonlinear	ADJ
cana-3288	138	5	analysis	analysis	NOUN
cana-3288	138	6	issn	issn	NOUN
cana-3288	138	7	:	:	PUNCT
cana-3288	138	8	1074	1074	NUM
cana-3288	138	9	-	-	PUNCT
cana-3288	138	10	133x	133x	NUM
cana-3288	138	11	vol	vol	NOUN
cana-3288	138	12	32	32	NUM
cana-3288	138	13	no	no	NOUN
cana-3288	138	14	.	.	PUNCT
cana-3288	139	1	6s	6s	NUM
cana-3288	139	2	(	(	PUNCT
cana-3288	139	3	2025	2025	NUM
cana-3288	139	4	)	)	PUNCT
cana-3288	139	5	222	222	NUM
cana-3288	139	6	https://internationalpubls.com	https://internationalpubls.com	SYM
cana-3288	139	7	1.1.2	1.1.2	NUM
cana-3288	139	8	implementation	implementation	NOUN
cana-3288	139	9	and	and	CCONJ
cana-3288	139	10	results	result	VERB
cana-3288	139	11	experimental	experimental	ADJ
cana-3288	139	12	setup	setup	NOUN
cana-3288	139	13	•	•	NUM
cana-3288	139	14	environment	environment	NOUN
cana-3288	139	15	:	:	PUNCT
cana-3288	139	16	simulations	simulation	NOUN
cana-3288	139	17	performed	perform	VERB
cana-3288	139	18	using	use	VERB
cana-3288	139	19	python	python	NOUN
cana-3288	139	20	and	and	CCONJ
cana-3288	139	21	matlab	matlab	PROPN
cana-3288	139	22	,	,	PUNCT
cana-3288	139	23	with	with	ADP
cana-3288	139	24	specific	specific	ADJ
cana-3288	139	25	cryptographic	cryptographic	ADJ
cana-3288	139	26	libraries	library	NOUN
cana-3288	139	27	for	for	ADP
cana-3288	139	28	ecc	ecc	PROPN
cana-3288	139	29	and	and	CCONJ
cana-3288	139	30	ldpc	ldpc	NOUN
cana-3288	139	31	operations	operation	NOUN
cana-3288	139	32	.	.	PUNCT
cana-3288	140	1	•	•	NUM
cana-3288	140	2	test	test	NOUN
cana-3288	140	3	parameters	parameter	NOUN
cana-3288	140	4	:	:	PUNCT
cana-3288	140	5	key	key	ADJ
cana-3288	140	6	size	size	NOUN
cana-3288	140	7	,	,	PUNCT
cana-3288	140	8	encryption	encryption	NOUN
cana-3288	140	9	/	/	SYM
cana-3288	140	10	decryption	decryption	NOUN
cana-3288	140	11	time	time	NOUN
cana-3288	140	12	,	,	PUNCT
cana-3288	140	13	error	error	NOUN
cana-3288	140	14	rate	rate	NOUN
cana-3288	140	15	,	,	PUNCT
cana-3288	140	16	and	and	CCONJ
cana-3288	140	17	quantum	quantum	ADJ
cana-3288	140	18	attack	attack	NOUN
cana-3288	140	19	simulations	simulation	NOUN
cana-3288	140	20	.	.	PUNCT
cana-3288	141	1	•	•	NUM
cana-3288	141	2	test	test	NOUN
cana-3288	141	3	cases	case	NOUN
cana-3288	141	4	:	:	PUNCT
cana-3288	141	5	evaluation	evaluation	NOUN
cana-3288	141	6	across	across	ADP
cana-3288	141	7	varying	vary	VERB
cana-3288	141	8	message	message	NOUN
cana-3288	141	9	lengths	length	NOUN
cana-3288	141	10	and	and	CCONJ
cana-3288	141	11	error	error	NOUN
cana-3288	141	12	conditions	condition	NOUN
cana-3288	141	13	.	.	PUNCT
cana-3288	142	1	2	2	NUM
cana-3288	142	2	niederreiter	niederreiter	NOUN
cana-3288	142	3	cryptosystem	cryptosystem	NOUN
cana-3288	142	4	with	with	ADP
cana-3288	142	5	ldpc	ldpc	NOUN
cana-3288	142	6	codes	code	NOUN
cana-3288	142	7	this	this	DET
cana-3288	142	8	section	section	NOUN
cana-3288	142	9	presents	present	VERB
cana-3288	142	10	the	the	DET
cana-3288	142	11	core	core	NOUN
cana-3288	142	12	technical	technical	ADJ
cana-3288	142	13	contributions	contribution	NOUN
cana-3288	142	14	of	of	ADP
cana-3288	142	15	the	the	DET
cana-3288	142	16	paper	paper	NOUN
cana-3288	142	17	,	,	PUNCT
cana-3288	142	18	explaining	explain	VERB
cana-3288	142	19	the	the	DET
cana-3288	142	20	integration	integration	NOUN
cana-3288	142	21	of	of	ADP
cana-3288	142	22	low	low	ADJ
cana-3288	142	23	density	density	NOUN
cana-3288	142	24	parity	parity	NOUN
cana-3288	142	25	-	-	PUNCT
cana-3288	142	26	check	check	NOUN
cana-3288	142	27	(	(	PUNCT
cana-3288	142	28	ldpc	ldpc	NOUN
cana-3288	142	29	)	)	PUNCT
cana-3288	142	30	codes	code	NOUN
cana-3288	142	31	into	into	ADP
cana-3288	142	32	the	the	DET
cana-3288	142	33	niederreiter	niederreiter	NOUN
cana-3288	142	34	cryptosystem	cryptosystem	NOUN
cana-3288	142	35	.	.	PUNCT
cana-3288	143	1	we	we	PRON
cana-3288	143	2	begin	begin	VERB
cana-3288	143	3	by	by	ADP
cana-3288	143	4	review	review	NOUN
cana-3288	143	5	in	in	ADP
cana-3288	143	6	the	the	DET
cana-3288	143	7	traditional	traditional	ADJ
cana-3288	143	8	niederreiter	niederreiter	NOUN
cana-3288	143	9	system	system	NOUN
cana-3288	143	10	,	,	PUNCT
cana-3288	143	11	followed	follow	VERB
cana-3288	143	12	by	by	ADP
cana-3288	143	13	an	an	DET
cana-3288	143	14	introduction	introduction	NOUN
cana-3288	143	15	to	to	ADP
cana-3288	143	16	ldpc	ldpc	NOUN
cana-3288	143	17	codes	code	NOUN
cana-3288	143	18	,	,	PUNCT
cana-3288	143	19	highlighting	highlight	VERB
cana-3288	143	20	their	their	PRON
cana-3288	143	21	advantages	advantage	NOUN
cana-3288	143	22	.	.	PUNCT
cana-3288	144	1	finally	finally	ADV
cana-3288	144	2	,	,	PUNCT
cana-3288	144	3	we	we	PRON
cana-3288	144	4	discuss	discuss	VERB
cana-3288	144	5	the	the	DET
cana-3288	144	6	novel	novel	ADJ
cana-3288	144	7	method	method	NOUN
cana-3288	144	8	of	of	ADP
cana-3288	144	9	integrating	integrate	VERB
cana-3288	144	10	ldpc	ldpc	NOUN
cana-3288	144	11	codes	code	NOUN
cana-3288	144	12	into	into	ADP
cana-3288	144	13	the	the	DET
cana-3288	144	14	niederreiter	niederreiter	NOUN
cana-3288	144	15	framework	framework	NOUN
cana-3288	144	16	and	and	CCONJ
cana-3288	144	17	describe	describe	VERB
cana-3288	144	18	the	the	DET
cana-3288	144	19	resulting	result	VERB
cana-3288	144	20	improvements	improvement	NOUN
cana-3288	144	21	in	in	ADP
cana-3288	144	22	efficiency	efficiency	NOUN
cana-3288	144	23	and	and	CCONJ
cana-3288	144	24	resource	resource	NOUN
cana-3288	144	25	optimization	optimization	NOUN
cana-3288	144	26	.	.	PUNCT
cana-3288	145	1	2.1	2.1	NUM
cana-3288	145	2	overview	overview	NOUN
cana-3288	145	3	of	of	ADP
cana-3288	145	4	the	the	DET
cana-3288	145	5	niederreiter	niederreiter	NOUN
cana-3288	145	6	cryptosystem	cryptosystem	NOUN
cana-3288	145	7	the	the	DET
cana-3288	145	8	niederreiter	niederreiter	NOUN
cana-3288	145	9	cryptosystem	cryptosystem	NOUN
cana-3288	145	10	,	,	PUNCT
cana-3288	145	11	first	first	ADV
cana-3288	145	12	introduced	introduce	VERB
cana-3288	145	13	in	in	ADP
cana-3288	145	14	1986	1986	NUM
cana-3288	145	15	,	,	PUNCT
cana-3288	145	16	is	be	AUX
cana-3288	145	17	a	a	DET
cana-3288	145	18	code	code	NOUN
cana-3288	145	19	-	-	PUNCT
cana-3288	145	20	based	base	VERB
cana-3288	145	21	public	public	ADJ
cana-3288	145	22	key	key	ADJ
cana-3288	145	23	cryptosystem	cryptosystem	NOUN
cana-3288	145	24	that	that	PRON
cana-3288	145	25	leverages	leverage	VERB
cana-3288	145	26	the	the	DET
cana-3288	145	27	difficulty	difficulty	NOUN
cana-3288	145	28	of	of	ADP
cana-3288	145	29	decoding	decode	VERB
cana-3288	145	30	linear	linear	NOUN
cana-3288	145	31	error	error	NOUN
cana-3288	145	32	-	-	PUNCT
cana-3288	145	33	correcting	correct	VERB
cana-3288	145	34	codes	code	NOUN
cana-3288	145	35	to	to	PART
cana-3288	145	36	ensure	ensure	VERB
cana-3288	145	37	security[16	security[16	PROPN
cana-3288	145	38	]	]	PUNCT
cana-3288	145	39	.	.	PUNCT
cana-3288	146	1	the	the	DET
cana-3288	146	2	system	system	NOUN
cana-3288	146	3	is	be	AUX
cana-3288	146	4	regarded	regard	VERB
cana-3288	146	5	as	as	ADP
cana-3288	146	6	a	a	DET
cana-3288	146	7	strong	strong	ADJ
cana-3288	146	8	candidate	candidate	NOUN
cana-3288	146	9	for	for	ADP
cana-3288	146	10	post	post	ADJ
cana-3288	146	11	-	-	ADJ
cana-3288	146	12	quantum	quantum	ADJ
cana-3288	146	13	cryptography	cryptography	NOUN
cana-3288	146	14	because	because	SCONJ
cana-3288	146	15	it	it	PRON
cana-3288	146	16	is	be	AUX
cana-3288	146	17	resistant	resistant	ADJ
cana-3288	146	18	to	to	ADP
cana-3288	146	19	known	know	VERB
cana-3288	146	20	quantum	quantum	ADJ
cana-3288	146	21	algorithms	algorithm	NOUN
cana-3288	146	22	such	such	ADJ
cana-3288	146	23	as	as	ADP
cana-3288	146	24	shor	shor	PROPN
cana-3288	146	25	’s	’s	PART
cana-3288	146	26	and	and	CCONJ
cana-3288	146	27	grover	grover	NOUN
cana-3288	146	28	’s	’s	PART
cana-3288	146	29	algorithms	algorithm	NOUN
cana-3288	146	30	.	.	PUNCT
cana-3288	147	1	at	at	ADP
cana-3288	147	2	its	its	PRON
cana-3288	147	3	core	core	NOUN
cana-3288	147	4	,	,	PUNCT
cana-3288	147	5	the	the	DET
cana-3288	147	6	niederreiter	niederreiter	NOUN
cana-3288	147	7	system	system	NOUN
cana-3288	147	8	uses	use	VERB
cana-3288	147	9	a	a	DET
cana-3288	147	10	parity	parity	NOUN
cana-3288	147	11	-	-	PUNCT
cana-3288	147	12	check	check	NOUN
cana-3288	147	13	matrix	matrix	NOUN
cana-3288	147	14	of	of	ADP
cana-3288	147	15	a	a	DET
cana-3288	147	16	linear	linear	NOUN
cana-3288	147	17	error	error	NOUN
cana-3288	147	18	-	-	PUNCT
cana-3288	147	19	correcting	correct	VERB
cana-3288	147	20	code	code	NOUN
cana-3288	147	21	,	,	PUNCT
cana-3288	147	22	often	often	ADV
cana-3288	147	23	a	a	DET
cana-3288	147	24	binary	binary	PROPN
cana-3288	147	25	goppa	goppa	PROPN
cana-3288	147	26	code	code	PROPN
cana-3288	147	27	,	,	PUNCT
cana-3288	147	28	to	to	PART
cana-3288	147	29	perform	perform	VERB
cana-3288	147	30	encryption	encryption	NOUN
cana-3288	147	31	and	and	CCONJ
cana-3288	147	32	decryption	decryption	NOUN
cana-3288	147	33	.	.	PUNCT
cana-3288	148	1	the	the	DET
cana-3288	148	2	cryptosystem	cryptosystem	NOUN
cana-3288	148	3	operates	operate	VERB
cana-3288	148	4	as	as	SCONJ
cana-3288	148	5	follows	follow	VERB
cana-3288	148	6	:	:	PUNCT
cana-3288	148	7	key	key	ADJ
cana-3288	148	8	generation	generation	NOUN
cana-3288	148	9	:	:	PUNCT
cana-3288	148	10	the	the	DET
cana-3288	148	11	public	public	ADJ
cana-3288	148	12	key	key	NOUN
cana-3288	148	13	is	be	AUX
cana-3288	148	14	generated	generate	VERB
cana-3288	148	15	by	by	ADP
cana-3288	148	16	selecting	select	VERB
cana-3288	148	17	a	a	DET
cana-3288	148	18	parity	parity	NOUN
cana-3288	148	19	-	-	PUNCT
cana-3288	148	20	check	check	NOUN
cana-3288	148	21	matrix	matrix	NOUN
cana-3288	148	22	h	h	NOUN
cana-3288	148	23	of	of	ADP
cana-3288	148	24	an	an	DET
cana-3288	148	25	error	error	NOUN
cana-3288	148	26	correcting	correct	VERB
cana-3288	148	27	code	code	NOUN
cana-3288	148	28	.	.	PUNCT
cana-3288	149	1	this	this	DET
cana-3288	149	2	matrix	matrix	NOUN
cana-3288	149	3	is	be	AUX
cana-3288	149	4	scrambled	scramble	VERB
cana-3288	149	5	using	use	VERB
cana-3288	149	6	a	a	DET
cana-3288	149	7	random	random	ADJ
cana-3288	149	8	permutation	permutation	NOUN
cana-3288	149	9	to	to	PART
cana-3288	149	10	produce	produce	VERB
cana-3288	149	11	a	a	DET
cana-3288	149	12	disguised	disguised	ADJ
cana-3288	149	13	version	version	NOUN
cana-3288	149	14	the	the	DET
cana-3288	149	15	code	code	NOUN
cana-3288	149	16	,	,	PUNCT
cana-3288	149	17	making	make	VERB
cana-3288	149	18	it	it	PRON
cana-3288	149	19	hard	hard	ADJ
cana-3288	149	20	for	for	SCONJ
cana-3288	149	21	an	an	DET
cana-3288	149	22	adversary	adversary	NOUN
cana-3288	149	23	to	to	PART
cana-3288	149	24	discern	discern	VERB
cana-3288	149	25	its	its	PRON
cana-3288	149	26	structure	structure	NOUN
cana-3288	149	27	.	.	PUNCT
cana-3288	150	1	the	the	DET
cana-3288	150	2	private	private	ADJ
cana-3288	150	3	key	key	NOUN
cana-3288	150	4	consists	consist	NOUN
cana-3288	150	5	of	of	ADP
cana-3288	150	6	the	the	DET
cana-3288	150	7	original	original	ADJ
cana-3288	150	8	paritycheck	paritycheck	NOUN
cana-3288	150	9	matrix	matrix	NOUN
cana-3288	150	10	and	and	CCONJ
cana-3288	150	11	the	the	DET
cana-3288	150	12	permutation	permutation	NOUN
cana-3288	150	13	used	use	VERB
cana-3288	150	14	to	to	PART
cana-3288	150	15	disguise	disguise	VERB
cana-3288	150	16	it	it	PRON
cana-3288	150	17	.	.	PUNCT
cana-3288	151	1	encryption	encryption	NOUN
cana-3288	151	2	:	:	PUNCT
cana-3288	151	3	to	to	PART
cana-3288	151	4	encrypt	encrypt	VERB
cana-3288	151	5	a	a	DET
cana-3288	151	6	message	message	NOUN
cana-3288	151	7	,	,	PUNCT
cana-3288	151	8	the	the	DET
cana-3288	151	9	sender	sender	NOUN
cana-3288	151	10	selects	select	VERB
cana-3288	151	11	a	a	DET
cana-3288	151	12	random	random	ADJ
cana-3288	151	13	error	error	NOUN
cana-3288	151	14	vector	vector	NOUN
cana-3288	151	15	of	of	ADP
cana-3288	151	16	a	a	DET
cana-3288	151	17	fixed	fix	VERB
cana-3288	151	18	weight	weight	NOUN
cana-3288	151	19	and	and	CCONJ
cana-3288	151	20	multiplies	multiply	VERB
cana-3288	151	21	it	it	PRON
cana-3288	151	22	by	by	ADP
cana-3288	151	23	the	the	DET
cana-3288	151	24	public	public	ADJ
cana-3288	151	25	key	key	ADJ
cana-3288	151	26	matrix	matrix	NOUN
cana-3288	151	27	.	.	PUNCT
cana-3288	152	1	the	the	DET
cana-3288	152	2	ciphertext	ciphertext	NOUN
cana-3288	152	3	is	be	AUX
cana-3288	152	4	the	the	DET
cana-3288	152	5	result	result	NOUN
cana-3288	152	6	of	of	ADP
cana-3288	152	7	this	this	DET
cana-3288	152	8	matrix	matrix	NOUN
cana-3288	152	9	multiplication	multiplication	NOUN
cana-3288	152	10	.	.	PUNCT
cana-3288	153	1	this	this	DET
cana-3288	153	2	operation	operation	NOUN
cana-3288	153	3	leverages	leverage	VERB
cana-3288	153	4	the	the	DET
cana-3288	153	5	fact	fact	NOUN
cana-3288	153	6	that	that	SCONJ
cana-3288	153	7	decoding	decode	VERB
cana-3288	153	8	a	a	DET
cana-3288	153	9	general	general	ADJ
cana-3288	153	10	linear	linear	PROPN
cana-3288	153	11	code	code	NOUN
cana-3288	153	12	is	be	AUX
cana-3288	153	13	np	np	INTJ
cana-3288	153	14	-	-	PUNCT
cana-3288	153	15	hard	hard	ADJ
cana-3288	153	16	,	,	PUNCT
cana-3288	153	17	making	make	VERB
cana-3288	153	18	it	it	PRON
cana-3288	153	19	infeasible	infeasible	ADJ
cana-3288	153	20	for	for	ADP
cana-3288	153	21	an	an	DET
cana-3288	153	22	attacker	attacker	NOUN
cana-3288	153	23	to	to	PART
cana-3288	153	24	recover	recover	VERB
cana-3288	153	25	the	the	DET
cana-3288	153	26	original	original	ADJ
cana-3288	153	27	error	error	NOUN
cana-3288	153	28	vector	vector	NOUN
cana-3288	153	29	without	without	ADP
cana-3288	153	30	knowledge	knowledge	NOUN
cana-3288	153	31	of	of	ADP
cana-3288	153	32	the	the	DET
cana-3288	153	33	private	private	ADJ
cana-3288	153	34	key	key	NOUN
cana-3288	153	35	.	.	PUNCT
cana-3288	154	1	decryption	decryption	NOUN
cana-3288	154	2	:	:	PUNCT
cana-3288	154	3	the	the	DET
cana-3288	154	4	receiver	receiver	NOUN
cana-3288	154	5	,	,	PUNCT
cana-3288	154	6	who	who	PRON
cana-3288	154	7	knows	know	VERB
cana-3288	154	8	the	the	DET
cana-3288	154	9	permutation	permutation	NOUN
cana-3288	154	10	and	and	CCONJ
cana-3288	154	11	the	the	DET
cana-3288	154	12	structure	structure	NOUN
cana-3288	154	13	of	of	ADP
cana-3288	154	14	the	the	DET
cana-3288	154	15	original	original	ADJ
cana-3288	154	16	parity	parity	NOUN
cana-3288	154	17	-	-	PUNCT
cana-3288	154	18	check	check	NOUN
cana-3288	154	19	matrix	matrix	NOUN
cana-3288	154	20	,	,	PUNCT
cana-3288	154	21	can	can	AUX
cana-3288	154	22	use	use	VERB
cana-3288	154	23	efficient	efficient	ADJ
cana-3288	154	24	decoding	decode	VERB
cana-3288	154	25	algorithms	algorithm	NOUN
cana-3288	154	26	to	to	PART
cana-3288	154	27	retrieve	retrieve	VERB
cana-3288	154	28	the	the	DET
cana-3288	154	29	original	original	ADJ
cana-3288	154	30	error	error	NOUN
cana-3288	154	31	vector	vector	NOUN
cana-3288	154	32	from	from	ADP
cana-3288	154	33	the	the	DET
cana-3288	154	34	ciphertext	ciphertext	NOUN
cana-3288	154	35	,	,	PUNCT
cana-3288	154	36	thereby	thereby	ADV
cana-3288	154	37	decrypting	decrypt	VERB
cana-3288	154	38	the	the	DET
cana-3288	154	39	message	message	NOUN
cana-3288	154	40	.	.	PUNCT
cana-3288	155	1	the	the	DET
cana-3288	155	2	security	security	NOUN
cana-3288	155	3	of	of	ADP
cana-3288	155	4	the	the	DET
cana-3288	155	5	niederreiter	niederreiter	NOUN
cana-3288	155	6	system	system	NOUN
cana-3288	155	7	is	be	AUX
cana-3288	155	8	based	base	VERB
cana-3288	155	9	on	on	ADP
cana-3288	155	10	the	the	DET
cana-3288	155	11	difficulty	difficulty	NOUN
cana-3288	155	12	of	of	ADP
cana-3288	155	13	decoding	decode	VERB
cana-3288	155	14	random	random	ADJ
cana-3288	155	15	linear	linear	ADJ
cana-3288	155	16	codes	code	NOUN
cana-3288	155	17	,	,	PUNCT
cana-3288	155	18	a	a	DET
cana-3288	155	19	problem	problem	NOUN
cana-3288	155	20	that	that	PRON
cana-3288	155	21	remains	remain	VERB
cana-3288	155	22	computationally	computationally	ADV
cana-3288	155	23	intractable	intractable	ADJ
cana-3288	155	24	even	even	ADV
cana-3288	155	25	for	for	ADP
cana-3288	155	26	quantum	quantum	NOUN
cana-3288	155	27	computers[3	computers[3	NOUN
cana-3288	155	28	]	]	PUNCT
cana-3288	155	29	.	.	PUNCT
cana-3288	156	1	however	however	ADV
cana-3288	156	2	,	,	PUNCT
cana-3288	156	3	the	the	DET
cana-3288	156	4	primary	primary	ADJ
cana-3288	156	5	drawback	drawback	NOUN
cana-3288	156	6	of	of	ADP
cana-3288	156	7	the	the	DET
cana-3288	156	8	niederreiter	niederreiter	ADJ
cana-3288	156	9	system	system	NOUN
cana-3288	156	10	,	,	PUNCT
cana-3288	156	11	like	like	ADP
cana-3288	156	12	other	other	ADJ
cana-3288	156	13	code	code	NOUN
cana-3288	156	14	-	-	PUNCT
cana-3288	156	15	based	base	VERB
cana-3288	156	16	cryptosystems	cryptosystem	NOUN
cana-3288	156	17	,	,	PUNCT
cana-3288	156	18	is	be	AUX
cana-3288	156	19	the	the	DET
cana-3288	156	20	large	large	ADJ
cana-3288	156	21	key	key	ADJ
cana-3288	156	22	size	size	NOUN
cana-3288	156	23	required	require	VERB
cana-3288	156	24	to	to	PART
cana-3288	156	25	ensure	ensure	VERB
cana-3288	156	26	security	security	NOUN
cana-3288	156	27	.	.	PUNCT
cana-3288	157	1	public	public	ADJ
cana-3288	157	2	keys	key	NOUN
cana-3288	157	3	in	in	ADP
cana-3288	157	4	the	the	DET
cana-3288	157	5	traditional	traditional	ADJ
cana-3288	157	6	niederreiter	niederreiter	NOUN
cana-3288	157	7	system	system	NOUN
cana-3288	157	8	can	can	AUX
cana-3288	157	9	reach	reach	VERB
cana-3288	157	10	sizes	size	NOUN
cana-3288	157	11	ofhundreds	ofhundred	NOUN
cana-3288	157	12	of	of	ADP
cana-3288	157	13	kilobytes	kilobyte	NOUN
cana-3288	157	14	,	,	PUNCT
cana-3288	157	15	which	which	PRON
cana-3288	157	16	poses	pose	VERB
cana-3288	157	17	significant	significant	ADJ
cana-3288	157	18	challenges	challenge	NOUN
cana-3288	157	19	for	for	ADP
cana-3288	157	20	storage	storage	NOUN
cana-3288	157	21	and	and	CCONJ
cana-3288	157	22	transmission	transmission	NOUN
cana-3288	157	23	,	,	PUNCT
cana-3288	157	24	particularly	particularly	ADV
cana-3288	157	25	inresource	inresource	NOUN
cana-3288	157	26	-	-	PUNCT
cana-3288	157	27	constrained	constrain	VERB
cana-3288	157	28	environments	environment	NOUN
cana-3288	157	29	like	like	ADP
cana-3288	157	30	the	the	DET
cana-3288	157	31	internet	internet	NOUN
cana-3288	157	32	of	of	ADP
cana-3288	157	33	things	thing	NOUN
cana-3288	157	34	(	(	PUNCT
cana-3288	157	35	iot	iot	NOUN
cana-3288	157	36	)	)	PUNCT
cana-3288	157	37	.	.	PUNCT
cana-3288	158	1	communications	communication	NOUN
cana-3288	158	2	on	on	ADP
cana-3288	158	3	applied	apply	VERB
cana-3288	158	4	nonlinear	nonlinear	ADJ
cana-3288	158	5	analysis	analysis	NOUN
cana-3288	158	6	issn	issn	NOUN
cana-3288	158	7	:	:	PUNCT
cana-3288	158	8	1074	1074	NUM
cana-3288	158	9	-	-	PUNCT
cana-3288	158	10	133x	133x	NUM
cana-3288	158	11	vol	vol	NOUN
cana-3288	158	12	32	32	NUM
cana-3288	158	13	no	no	NOUN
cana-3288	158	14	.	.	PUNCT
cana-3288	159	1	6s	6s	NUM
cana-3288	159	2	(	(	PUNCT
cana-3288	159	3	2025	2025	NUM
cana-3288	159	4	)	)	PUNCT
cana-3288	159	5	223	223	NUM
cana-3288	159	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3288	159	7	2.2	2.2	NUM
cana-3288	159	8	introduction	introduction	NOUN
cana-3288	159	9	to	to	ADP
cana-3288	159	10	ldpc	ldpc	NOUN
cana-3288	159	11	codes	code	NOUN
cana-3288	159	12	low	low	ADJ
cana-3288	159	13	-	-	PUNCT
cana-3288	159	14	density	density	NOUN
cana-3288	159	15	parity	parity	NOUN
cana-3288	159	16	-	-	PUNCT
cana-3288	159	17	check	check	NOUN
cana-3288	159	18	(	(	PUNCT
cana-3288	159	19	ldpc	ldpc	NOUN
cana-3288	159	20	)	)	PUNCT
cana-3288	159	21	codes	code	NOUN
cana-3288	159	22	are	be	AUX
cana-3288	159	23	a	a	DET
cana-3288	159	24	class	class	NOUN
cana-3288	159	25	of	of	ADP
cana-3288	159	26	linear	linear	PROPN
cana-3288	159	27	error	error	NOUN
cana-3288	159	28	-	-	PUNCT
cana-3288	159	29	correcting	correct	VERB
cana-3288	159	30	codes	code	NOUN
cana-3288	159	31	characterized	characterize	VERB
cana-3288	159	32	by	by	ADP
cana-3288	159	33	their	their	PRON
cana-3288	159	34	sparse	sparse	ADJ
cana-3288	159	35	parity	parity	NOUN
cana-3288	159	36	-	-	PUNCT
cana-3288	159	37	check	check	NOUN
cana-3288	159	38	matrices	matrix	NOUN
cana-3288	159	39	.	.	PUNCT
cana-3288	160	1	introduced	introduce	VERB
cana-3288	160	2	by	by	ADP
cana-3288	160	3	robert	robert	PROPN
cana-3288	160	4	gallager	gallager	PROPN
cana-3288	160	5	in	in	ADP
cana-3288	160	6	1962	1962	NUM
cana-3288	160	7	,	,	PUNCT
cana-3288	160	8	ldpc	ldpc	NOUN
cana-3288	160	9	codes	code	NOUN
cana-3288	160	10	were	be	AUX
cana-3288	160	11	largely	largely	ADV
cana-3288	160	12	overlooked	overlook	VERB
cana-3288	160	13	until	until	ADP
cana-3288	160	14	the	the	DET
cana-3288	160	15	1990s	1990s	NUM
cana-3288	160	16	,	,	PUNCT
cana-3288	160	17	when	when	SCONJ
cana-3288	160	18	their	their	PRON
cana-3288	160	19	rediscovery	rediscovery	NOUN
cana-3288	160	20	led	lead	VERB
cana-3288	160	21	to	to	ADP
cana-3288	160	22	widespread	widespread	ADJ
cana-3288	160	23	adoption	adoption	NOUN
cana-3288	160	24	in	in	ADP
cana-3288	160	25	modern	modern	ADJ
cana-3288	160	26	communication	communication	NOUN
cana-3288	160	27	systems	system	NOUN
cana-3288	160	28	due	due	ADP
cana-3288	160	29	to	to	ADP
cana-3288	160	30	their	their	PRON
cana-3288	160	31	excellent	excellent	ADJ
cana-3288	160	32	error	error	NOUN
cana-3288	160	33	-	-	PUNCT
cana-3288	160	34	correction	correction	NOUN
cana-3288	160	35	performance	performance	NOUN
cana-3288	160	36	and	and	CCONJ
cana-3288	160	37	low	low	ADJ
cana-3288	160	38	decoding	decoding	NOUN
cana-3288	160	39	complexity	complexity	NOUN
cana-3288	160	40	.	.	PUNCT
cana-3288	161	1	ldpc	ldpc	NOUN
cana-3288	161	2	codes	code	NOUN
cana-3288	161	3	are	be	AUX
cana-3288	161	4	now	now	ADV
cana-3288	161	5	commonly	commonly	ADV
cana-3288	161	6	used	use	VERB
cana-3288	161	7	in	in	ADP
cana-3288	161	8	applications	application	NOUN
cana-3288	161	9	like	like	ADP
cana-3288	161	10	satellite	satellite	NOUN
cana-3288	161	11	communications	communication	NOUN
cana-3288	161	12	,	,	PUNCT
cana-3288	161	13	5	5	NUM
cana-3288	161	14	g	g	NOUN
cana-3288	161	15	wireless	wireless	ADJ
cana-3288	161	16	networks	network	NOUN
cana-3288	161	17	,	,	PUNCT
cana-3288	161	18	and	and	CCONJ
cana-3288	161	19	digital	digital	ADJ
cana-3288	161	20	television	television	NOUN
cana-3288	161	21	broadcasting	broadcasting	NOUN
cana-3288	161	22	.	.	PUNCT
cana-3288	162	1	the	the	DET
cana-3288	162	2	primary	primary	ADJ
cana-3288	162	3	advantage	advantage	NOUN
cana-3288	162	4	of	of	ADP
cana-3288	162	5	ldpc	ldpc	NOUN
cana-3288	162	6	codes	code	NOUN
cana-3288	162	7	lies	lie	VERB
cana-3288	162	8	in	in	ADP
cana-3288	162	9	their	their	PRON
cana-3288	162	10	sparse	sparse	ADJ
cana-3288	162	11	matrix	matrix	NOUN
cana-3288	162	12	structure	structure	NOUN
cana-3288	162	13	.	.	PUNCT
cana-3288	163	1	in	in	ADP
cana-3288	163	2	an	an	DET
cana-3288	163	3	ldpc	ldpc	NOUN
cana-3288	163	4	code	code	NOUN
cana-3288	163	5	,	,	PUNCT
cana-3288	163	6	the	the	DET
cana-3288	163	7	parity	parity	NOUN
cana-3288	163	8	-	-	PUNCT
cana-3288	163	9	check	check	NOUN
cana-3288	163	10	matrix	matrix	NOUN
cana-3288	163	11	h	h	NOUN
cana-3288	163	12	contains	contain	VERB
cana-3288	163	13	only	only	ADV
cana-3288	163	14	a	a	DET
cana-3288	163	15	small	small	ADJ
cana-3288	163	16	fraction	fraction	NOUN
cana-3288	163	17	of	of	ADP
cana-3288	163	18	non	non	ADJ
cana-3288	163	19	-	-	ADJ
cana-3288	163	20	zero	zero	NUM
cana-3288	163	21	entries	entry	NOUN
cana-3288	163	22	,	,	PUNCT
cana-3288	163	23	leading	lead	VERB
cana-3288	163	24	to	to	ADP
cana-3288	163	25	two	two	NUM
cana-3288	163	26	key	key	ADJ
cana-3288	163	27	benefits	benefit	NOUN
cana-3288	163	28	:	:	PUNCT
cana-3288	163	29	efficient	efficient	ADJ
cana-3288	163	30	decoding	decoding	NOUN
cana-3288	163	31	:	:	PUNCT
cana-3288	163	32	ldpc	ldpc	NOUN
cana-3288	163	33	codes	code	NOUN
cana-3288	163	34	can	can	AUX
cana-3288	163	35	be	be	AUX
cana-3288	163	36	decoded	decode	VERB
cana-3288	163	37	using	use	VERB
cana-3288	163	38	iterative	iterative	NOUN
cana-3288	163	39	algorithms	algorithm	NOUN
cana-3288	163	40	such	such	ADJ
cana-3288	163	41	as	as	ADP
cana-3288	163	42	belief	belief	NOUN
cana-3288	163	43	propagation	propagation	NOUN
cana-3288	163	44	or	or	CCONJ
cana-3288	163	45	the	the	DET
cana-3288	163	46	sum	sum	NOUN
cana-3288	163	47	-	-	PUNCT
cana-3288	163	48	product	product	NOUN
cana-3288	163	49	algorithm	algorithm	NOUN
cana-3288	163	50	,	,	PUNCT
cana-3288	163	51	which	which	PRON
cana-3288	163	52	operate	operate	VERB
cana-3288	163	53	in	in	ADP
cana-3288	163	54	polynomial	polynomial	ADJ
cana-3288	163	55	time	time	NOUN
cana-3288	163	56	.	.	PUNCT
cana-3288	164	1	these	these	DET
cana-3288	164	2	algorithms	algorithm	NOUN
cana-3288	164	3	take	take	VERB
cana-3288	164	4	advantage	advantage	NOUN
cana-3288	164	5	of	of	ADP
cana-3288	164	6	the	the	DET
cana-3288	164	7	sparse	sparse	ADJ
cana-3288	164	8	matrix	matrix	NOUN
cana-3288	164	9	structure	structure	NOUN
cana-3288	164	10	to	to	PART
cana-3288	164	11	efficiently	efficiently	ADV
cana-3288	164	12	correct	correct	ADJ
cana-3288	164	13	errors	error	NOUN
cana-3288	164	14	,	,	PUNCT
cana-3288	164	15	providing	provide	VERB
cana-3288	164	16	performance	performance	NOUN
cana-3288	164	17	close	close	ADJ
cana-3288	164	18	tothe	tothe	PRON
cana-3288	164	19	theoretical	theoretical	ADJ
cana-3288	164	20	shannon	shannon	PROPN
cana-3288	164	21	limit[21	limit[21	PROPN
cana-3288	164	22	,	,	PUNCT
cana-3288	164	23	20	20	NUM
cana-3288	164	24	]	]	PUNCT
cana-3288	164	25	.	.	PUNCT
cana-3288	165	1	reduced	reduce	VERB
cana-3288	165	2	key	key	ADJ
cana-3288	165	3	sizes	size	NOUN
cana-3288	165	4	:	:	PUNCT
cana-3288	165	5	the	the	DET
cana-3288	165	6	sparse	sparse	ADJ
cana-3288	165	7	nature	nature	NOUN
cana-3288	165	8	of	of	ADP
cana-3288	165	9	ldpc	ldpc	NOUN
cana-3288	165	10	parity	parity	NOUN
cana-3288	165	11	-	-	PUNCT
cana-3288	165	12	check	check	NOUN
cana-3288	165	13	matrices	matrix	NOUN
cana-3288	165	14	also	also	ADV
cana-3288	165	15	translates	translate	VERB
cana-3288	165	16	into	into	ADP
cana-3288	165	17	smaller	small	ADJ
cana-3288	165	18	key	key	ADJ
cana-3288	165	19	sizes	size	NOUN
cana-3288	165	20	when	when	SCONJ
cana-3288	165	21	used	use	VERB
cana-3288	165	22	in	in	ADP
cana-3288	165	23	cryptographic	cryptographic	ADJ
cana-3288	165	24	systems	system	NOUN
cana-3288	165	25	.	.	PUNCT
cana-3288	166	1	since	since	SCONJ
cana-3288	166	2	fewer	few	ADJ
cana-3288	166	3	matrix	matrix	NOUN
cana-3288	166	4	elements	element	NOUN
cana-3288	166	5	are	be	AUX
cana-3288	166	6	required	require	VERB
cana-3288	166	7	to	to	PART
cana-3288	166	8	represent	represent	VERB
cana-3288	166	9	the	the	DET
cana-3288	166	10	code	code	NOUN
cana-3288	166	11	,	,	PUNCT
cana-3288	166	12	the	the	DET
cana-3288	166	13	public	public	ADJ
cana-3288	166	14	key	key	NOUN
cana-3288	166	15	in	in	ADP
cana-3288	166	16	an	an	DET
cana-3288	166	17	ldpc	ldpc	NOUN
cana-3288	166	18	-	-	PUNCT
cana-3288	166	19	based	base	VERB
cana-3288	166	20	cryptosystem	cryptosystem	NOUN
cana-3288	166	21	can	can	AUX
cana-3288	166	22	be	be	AUX
cana-3288	166	23	made	make	VERB
cana-3288	166	24	significantly	significantly	ADV
cana-3288	166	25	smaller	small	ADJ
cana-3288	166	26	than	than	ADP
cana-3288	166	27	in	in	ADP
cana-3288	166	28	systems	system	NOUN
cana-3288	166	29	using	use	VERB
cana-3288	166	30	denser	dense	ADJ
cana-3288	166	31	codes	code	NOUN
cana-3288	166	32	like	like	ADP
cana-3288	166	33	goppa	goppa	NOUN
cana-3288	166	34	codes	code	NOUN
cana-3288	166	35	.	.	PUNCT
cana-3288	167	1	ldpc	ldpc	NOUN
cana-3288	167	2	codes	code	NOUN
cana-3288	167	3	have	have	AUX
cana-3288	167	4	gained	gain	VERB
cana-3288	167	5	attention	attention	NOUN
cana-3288	167	6	in	in	ADP
cana-3288	167	7	cryptographic	cryptographic	ADJ
cana-3288	167	8	research	research	NOUN
cana-3288	167	9	due	due	ADP
cana-3288	167	10	to	to	ADP
cana-3288	167	11	their	their	PRON
cana-3288	167	12	potential	potential	NOUN
cana-3288	167	13	to	to	PART
cana-3288	167	14	reduce	reduce	VERB
cana-3288	167	15	both	both	PRON
cana-3288	167	16	computational	computational	ADJ
cana-3288	167	17	complexity	complexity	NOUN
cana-3288	167	18	and	and	CCONJ
cana-3288	167	19	key	key	ADJ
cana-3288	167	20	size	size	NOUN
cana-3288	167	21	,	,	PUNCT
cana-3288	167	22	making	make	VERB
cana-3288	167	23	them	they	PRON
cana-3288	167	24	well	well	ADV
cana-3288	167	25	-	-	PUNCT
cana-3288	167	26	suited	suit	VERB
cana-3288	167	27	for	for	ADP
cana-3288	167	28	integration	integration	NOUN
cana-3288	167	29	into	into	ADP
cana-3288	167	30	post	post	ADJ
cana-3288	167	31	-	-	ADJ
cana-3288	167	32	quantum	quantum	ADJ
cana-3288	167	33	cryptosystems	cryptosystem	NOUN
cana-3288	167	34	such	such	ADJ
cana-3288	167	35	as	as	ADP
cana-3288	167	36	niederreiter	niederreiter	NOUN
cana-3288	167	37	.	.	PUNCT
cana-3288	168	1	2.3	2.3	NUM
cana-3288	168	2	integration	integration	NOUN
cana-3288	168	3	of	of	ADP
cana-3288	168	4	ldpc	ldpc	NOUN
cana-3288	168	5	codes	code	NOUN
cana-3288	168	6	in	in	ADP
cana-3288	168	7	niederreiter	niederreiter	ADP
cana-3288	168	8	this	this	DET
cana-3288	168	9	paper	paper	NOUN
cana-3288	168	10	proposes	propose	VERB
cana-3288	168	11	a	a	DET
cana-3288	168	12	novel	novel	ADJ
cana-3288	168	13	method	method	NOUN
cana-3288	168	14	for	for	ADP
cana-3288	168	15	enhancing	enhance	VERB
cana-3288	168	16	the	the	DET
cana-3288	168	17	niederreiter	niederreiter	NOUN
cana-3288	168	18	cryptosystem	cryptosystem	NOUN
cana-3288	168	19	by	by	ADP
cana-3288	168	20	integrating	integrate	VERB
cana-3288	168	21	ldpc	ldpc	NOUN
cana-3288	168	22	codes	code	NOUN
cana-3288	168	23	as	as	ADP
cana-3288	168	24	the	the	DET
cana-3288	168	25	underlying	underlie	VERB
cana-3288	168	26	error	error	NOUN
cana-3288	168	27	-	-	PUNCT
cana-3288	168	28	correcting	correct	VERB
cana-3288	168	29	code	code	NOUN
cana-3288	168	30	.	.	PUNCT
cana-3288	169	1	the	the	DET
cana-3288	169	2	key	key	ADJ
cana-3288	169	3	idea	idea	NOUN
cana-3288	169	4	is	be	AUX
cana-3288	169	5	to	to	PART
cana-3288	169	6	replace	replace	VERB
cana-3288	169	7	the	the	DET
cana-3288	169	8	traditional	traditional	ADJ
cana-3288	169	9	binary	binary	PROPN
cana-3288	169	10	goppa	goppa	PROPN
cana-3288	169	11	codes	code	NOUN
cana-3288	169	12	with	with	ADP
cana-3288	169	13	ldpc	ldpc	NOUN
cana-3288	169	14	codes	code	NOUN
cana-3288	169	15	,	,	PUNCT
cana-3288	169	16	taking	take	VERB
cana-3288	169	17	advantage	advantage	NOUN
cana-3288	169	18	of	of	ADP
cana-3288	169	19	the	the	DET
cana-3288	169	20	sparse	sparse	ADJ
cana-3288	169	21	matrix	matrix	NOUN
cana-3288	169	22	structure	structure	NOUN
cana-3288	169	23	to	to	PART
cana-3288	169	24	achieve	achieve	VERB
cana-3288	169	25	reductions	reduction	NOUN
cana-3288	169	26	in	in	ADP
cana-3288	169	27	key	key	ADJ
cana-3288	169	28	size	size	NOUN
cana-3288	169	29	and	and	CCONJ
cana-3288	169	30	computational	computational	ADJ
cana-3288	169	31	overhead	overhead	NOUN
cana-3288	169	32	while	while	SCONJ
cana-3288	169	33	maintaining	maintain	VERB
cana-3288	169	34	the	the	DET
cana-3288	169	35	system	system	NOUN
cana-3288	169	36	’s	’s	PART
cana-3288	169	37	post	post	ADJ
cana-3288	169	38	-	-	ADJ
cana-3288	169	39	quantum	quantum	ADJ
cana-3288	169	40	security	security	NOUN
cana-3288	169	41	properties.modifying	properties.modifye	VERB
cana-3288	169	42	the	the	DET
cana-3288	169	43	parity	parity	NOUN
cana-3288	169	44	-	-	PUNCT
cana-3288	169	45	check	check	NOUN
cana-3288	169	46	matrix	matrix	NOUN
cana-3288	169	47	in	in	ADP
cana-3288	169	48	the	the	DET
cana-3288	169	49	standard	standard	ADJ
cana-3288	169	50	niederreiter	niederreiter	NOUN
cana-3288	169	51	system	system	NOUN
cana-3288	169	52	,	,	PUNCT
cana-3288	169	53	the	the	DET
cana-3288	169	54	parity	parity	NOUN
cana-3288	169	55	-	-	PUNCT
cana-3288	169	56	check	check	NOUN
cana-3288	169	57	matrix	matrix	NOUN
cana-3288	169	58	h	h	NOUN
cana-3288	169	59	is	be	AUX
cana-3288	169	60	typically	typically	ADV
cana-3288	169	61	dense	dense	ADJ
cana-3288	169	62	,	,	PUNCT
cana-3288	169	63	leading	lead	VERB
cana-3288	169	64	to	to	ADP
cana-3288	169	65	large	large	ADJ
cana-3288	169	66	public	public	ADJ
cana-3288	169	67	keys	key	NOUN
cana-3288	169	68	.	.	PUNCT
cana-3288	170	1	in	in	ADP
cana-3288	170	2	contrast	contrast	NOUN
cana-3288	170	3	,	,	PUNCT
cana-3288	170	4	the	the	DET
cana-3288	170	5	parity	parity	NOUN
cana-3288	170	6	-	-	PUNCT
cana-3288	170	7	check	check	NOUN
cana-3288	170	8	matrix	matrix	NOUN
cana-3288	170	9	of	of	ADP
cana-3288	170	10	an	an	DET
cana-3288	170	11	ldpc	ldpc	NOUN
cana-3288	170	12	code	code	NOUN
cana-3288	170	13	is	be	AUX
cana-3288	170	14	sparse	sparse	ADJ
cana-3288	170	15	,	,	PUNCT
cana-3288	170	16	with	with	ADP
cana-3288	170	17	most	most	ADJ
cana-3288	170	18	entries	entry	NOUN
cana-3288	170	19	being	be	AUX
cana-3288	170	20	zero	zero	NUM
cana-3288	170	21	.	.	PUNCT
cana-3288	171	1	this	this	DET
cana-3288	171	2	sparsity	sparsity	NOUN
cana-3288	171	3	allows	allow	VERB
cana-3288	171	4	for	for	ADP
cana-3288	171	5	more	more	ADV
cana-3288	171	6	efficient	efficient	ADJ
cana-3288	171	7	storage	storage	NOUN
cana-3288	171	8	and	and	CCONJ
cana-3288	171	9	processing	processing	NOUN
cana-3288	171	10	of	of	ADP
cana-3288	171	11	the	the	DET
cana-3288	171	12	matrix	matrix	NOUN
cana-3288	171	13	,	,	PUNCT
cana-3288	171	14	directly	directly	ADV
cana-3288	171	15	addressing	address	VERB
cana-3288	171	16	the	the	DET
cana-3288	171	17	key	key	ADJ
cana-3288	171	18	size	size	NOUN
cana-3288	171	19	issue	issue	NOUN
cana-3288	171	20	in	in	ADP
cana-3288	171	21	the	the	DET
cana-3288	171	22	traditional	traditional	ADJ
cana-3288	171	23	niederreiter	niederreiter	NOUN
cana-3288	171	24	system	system	NOUN
cana-3288	171	25	.	.	PUNCT
cana-3288	172	1	the	the	DET
cana-3288	172	2	integration	integration	NOUN
cana-3288	172	3	of	of	ADP
cana-3288	172	4	ldpc	ldpc	NOUN
cana-3288	172	5	codes	code	NOUN
cana-3288	172	6	involves	involve	VERB
cana-3288	172	7	the	the	DET
cana-3288	172	8	following	follow	VERB
cana-3288	172	9	steps	step	NOUN
cana-3288	172	10	:	:	PUNCT
cana-3288	172	11	ldpc	ldpc	NOUN
cana-3288	172	12	-	-	PUNCT
cana-3288	172	13	based	base	VERB
cana-3288	172	14	key	key	ADJ
cana-3288	172	15	generation	generation	NOUN
cana-3288	172	16	:	:	PUNCT
cana-3288	172	17	the	the	DET
cana-3288	172	18	public	public	ADJ
cana-3288	172	19	key	key	NOUN
cana-3288	172	20	is	be	AUX
cana-3288	172	21	generated	generate	VERB
cana-3288	172	22	by	by	ADP
cana-3288	172	23	selecting	select	VERB
cana-3288	172	24	a	a	DET
cana-3288	172	25	sparse	sparse	ADJ
cana-3288	172	26	parity	parity	NOUN
cana-3288	172	27	-	-	PUNCT
cana-3288	172	28	check	check	NOUN
cana-3288	172	29	matrix	matrix	NOUN
cana-3288	172	30	h	h	NOUN
cana-3288	172	31	of	of	ADP
cana-3288	172	32	an	an	DET
cana-3288	172	33	ldpc	ldpc	NOUN
cana-3288	172	34	code	code	NOUN
cana-3288	172	35	.	.	PUNCT
cana-3288	173	1	this	this	DET
cana-3288	173	2	matrix	matrix	NOUN
cana-3288	173	3	is	be	AUX
cana-3288	173	4	then	then	ADV
cana-3288	173	5	randomly	randomly	ADV
cana-3288	173	6	permuted	permute	VERB
cana-3288	173	7	to	to	PART
cana-3288	173	8	disguise	disguise	VERB
cana-3288	173	9	its	its	PRON
cana-3288	173	10	structure	structure	NOUN
cana-3288	173	11	,	,	PUNCT
cana-3288	173	12	similar	similar	ADJ
cana-3288	173	13	to	to	ADP
cana-3288	173	14	the	the	DET
cana-3288	173	15	key	key	ADJ
cana-3288	173	16	generation	generation	NOUN
cana-3288	173	17	process	process	NOUN
cana-3288	173	18	in	in	ADP
cana-3288	173	19	the	the	DET
cana-3288	173	20	traditional	traditional	ADJ
cana-3288	173	21	niederreiter	niederreiter	NOUN
cana-3288	173	22	system	system	NOUN
cana-3288	173	23	.	.	PUNCT
cana-3288	174	1	the	the	DET
cana-3288	174	2	private	private	ADJ
cana-3288	174	3	key	key	NOUN
cana-3288	174	4	consists	consist	NOUN
cana-3288	174	5	of	of	ADP
cana-3288	174	6	the	the	DET
cana-3288	174	7	original	original	ADJ
cana-3288	174	8	ldpc	ldpc	NOUN
cana-3288	174	9	matrix	matrix	NOUN
cana-3288	174	10	and	and	CCONJ
cana-3288	174	11	the	the	DET
cana-3288	174	12	permutation	permutation	NOUN
cana-3288	174	13	used	use	VERB
cana-3288	174	14	to	to	PART
cana-3288	174	15	scramble	scramble	VERB
cana-3288	174	16	it	it	PRON
cana-3288	174	17	.	.	PUNCT
cana-3288	175	1	ldpc	ldpc	NOUN
cana-3288	175	2	-	-	PUNCT
cana-3288	175	3	based	base	VERB
cana-3288	175	4	encryption	encryption	NOUN
cana-3288	175	5	:	:	PUNCT
cana-3288	175	6	during	during	ADP
cana-3288	175	7	encryption	encryption	NOUN
cana-3288	175	8	,	,	PUNCT
cana-3288	175	9	the	the	DET
cana-3288	175	10	sender	sender	NOUN
cana-3288	175	11	selects	select	VERB
cana-3288	175	12	a	a	DET
cana-3288	175	13	random	random	ADJ
cana-3288	175	14	error	error	NOUN
cana-3288	175	15	vector	vector	NOUN
cana-3288	175	16	of	of	ADP
cana-3288	175	17	a	a	DET
cana-3288	175	18	fixed	fix	VERB
cana-3288	175	19	weight	weight	NOUN
cana-3288	175	20	and	and	CCONJ
cana-3288	175	21	multiplies	multiply	VERB
cana-3288	175	22	it	it	PRON
cana-3288	175	23	by	by	ADP
cana-3288	175	24	the	the	DET
cana-3288	175	25	public	public	ADJ
cana-3288	175	26	key	key	ADJ
cana-3288	175	27	matrix	matrix	NOUN
cana-3288	175	28	h′	h′	PROPN
cana-3288	175	29	,	,	PUNCT
cana-3288	175	30	where	where	SCONJ
cana-3288	175	31	h′	h′	PROPN
cana-3288	175	32	is	be	AUX
cana-3288	175	33	the	the	DET
cana-3288	175	34	scrambled	scramble	VERB
cana-3288	175	35	version	version	NOUN
cana-3288	175	36	of	of	ADP
cana-3288	175	37	the	the	DET
cana-3288	175	38	ldpc	ldpc	NOUN
cana-3288	175	39	parity	parity	NOUN
cana-3288	175	40	-	-	PUNCT
cana-3288	175	41	check	check	NOUN
cana-3288	175	42	matrix	matrix	NOUN
cana-3288	175	43	.	.	PUNCT
cana-3288	176	1	since	since	SCONJ
cana-3288	176	2	the	the	DET
cana-3288	176	3	matrix	matrix	NOUN
cana-3288	176	4	is	be	AUX
cana-3288	176	5	sparse	sparse	ADJ
cana-3288	176	6	,	,	PUNCT
cana-3288	176	7	this	this	DET
cana-3288	176	8	multiplication	multiplication	NOUN
cana-3288	176	9	involves	involve	VERB
cana-3288	176	10	far	far	ADV
cana-3288	176	11	fewer	few	ADJ
cana-3288	176	12	operations	operation	NOUN
cana-3288	176	13	than	than	ADP
cana-3288	176	14	in	in	ADP
cana-3288	176	15	the	the	DET
cana-3288	176	16	traditional	traditional	ADJ
cana-3288	176	17	system	system	NOUN
cana-3288	176	18	,	,	PUNCT
cana-3288	176	19	leading	lead	VERB
cana-3288	176	20	to	to	ADP
cana-3288	176	21	faster	fast	ADJ
cana-3288	176	22	encryption	encryption	NOUN
cana-3288	176	23	times	time	NOUN
cana-3288	176	24	and	and	CCONJ
cana-3288	176	25	lower	low	ADJ
cana-3288	176	26	computational	computational	ADJ
cana-3288	176	27	demands	demand	NOUN
cana-3288	176	28	.	.	PUNCT
cana-3288	177	1	ldpc	ldpc	NOUN
cana-3288	177	2	-	-	PUNCT
cana-3288	177	3	based	base	VERB
cana-3288	177	4	decryption	decryption	NOUN
cana-3288	178	1	:	:	PUNCT
cana-3288	178	2	the	the	DET
cana-3288	178	3	decryption	decryption	NOUN
cana-3288	178	4	process	process	NOUN
cana-3288	178	5	involves	involve	VERB
cana-3288	178	6	recovering	recover	VERB
cana-3288	178	7	the	the	DET
cana-3288	178	8	original	original	ADJ
cana-3288	178	9	error	error	NOUN
cana-3288	178	10	vector	vector	NOUN
cana-3288	178	11	from	from	ADP
cana-3288	178	12	the	the	DET
cana-3288	178	13	ciphertext	ciphertext	NOUN
cana-3288	178	14	.	.	PUNCT
cana-3288	179	1	since	since	SCONJ
cana-3288	179	2	the	the	DET
cana-3288	179	3	receiver	receiver	NOUN
cana-3288	179	4	knows	know	VERB
cana-3288	179	5	the	the	DET
cana-3288	179	6	permutation	permutation	NOUN
cana-3288	179	7	and	and	CCONJ
cana-3288	179	8	the	the	DET
cana-3288	179	9	sparse	sparse	ADJ
cana-3288	179	10	structure	structure	NOUN
cana-3288	179	11	of	of	ADP
cana-3288	179	12	the	the	DET
cana-3288	179	13	ldpc	ldpc	NOUN
cana-3288	179	14	matrix	matrix	NOUN
cana-3288	179	15	,	,	PUNCT
cana-3288	179	16	they	they	PRON
cana-3288	179	17	can	can	AUX
cana-3288	179	18	use	use	VERB
cana-3288	179	19	iterative	iterative	NOUN
cana-3288	179	20	decoding	decode	VERB
cana-3288	179	21	algorithms	algorithm	NOUN
cana-3288	179	22	such	such	ADJ
cana-3288	179	23	as	as	ADP
cana-3288	179	24	belief	belief	NOUN
cana-3288	179	25	communications	communication	NOUN
cana-3288	179	26	on	on	ADP
cana-3288	179	27	applied	apply	VERB
cana-3288	179	28	nonlinear	nonlinear	ADJ
cana-3288	179	29	analysis	analysis	NOUN
cana-3288	179	30	issn	issn	NOUN
cana-3288	179	31	:	:	PUNCT
cana-3288	179	32	1074	1074	NUM
cana-3288	179	33	-	-	PUNCT
cana-3288	179	34	133x	133x	NUM
cana-3288	179	35	vol	vol	NOUN
cana-3288	179	36	32	32	NUM
cana-3288	179	37	no	no	NOUN
cana-3288	179	38	.	.	PUNCT
cana-3288	180	1	6s	6s	NUM
cana-3288	180	2	(	(	PUNCT
cana-3288	180	3	2025	2025	NUM
cana-3288	180	4	)	)	PUNCT
cana-3288	180	5	224	224	NUM
cana-3288	180	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3288	180	7	propagation	propagation	NOUN
cana-3288	180	8	to	to	ADP
cana-3288	180	9	efficiently	efficiently	ADV
cana-3288	180	10	correct	correct	ADJ
cana-3288	180	11	errors	error	NOUN
cana-3288	180	12	and	and	CCONJ
cana-3288	180	13	retrieve	retrieve	VERB
cana-3288	180	14	the	the	DET
cana-3288	180	15	original	original	ADJ
cana-3288	180	16	message	message	NOUN
cana-3288	180	17	.	.	PUNCT
cana-3288	181	1	the	the	DET
cana-3288	181	2	sparsity	sparsity	NOUN
cana-3288	181	3	of	of	ADP
cana-3288	181	4	the	the	DET
cana-3288	181	5	matrix	matrix	NOUN
cana-3288	181	6	significantly	significantly	ADV
cana-3288	181	7	reduces	reduce	VERB
cana-3288	181	8	the	the	DET
cana-3288	181	9	number	number	NOUN
cana-3288	181	10	of	of	ADP
cana-3288	181	11	operations	operation	NOUN
cana-3288	181	12	required	require	VERB
cana-3288	181	13	for	for	ADP
cana-3288	181	14	decoding	decode	VERB
cana-3288	181	15	,	,	PUNCT
cana-3288	181	16	resulting	result	VERB
cana-3288	181	17	in	in	ADP
cana-3288	181	18	faster	fast	ADJ
cana-3288	181	19	decryption	decryption	NOUN
cana-3288	181	20	and	and	CCONJ
cana-3288	181	21	lower	low	ADJ
cana-3288	181	22	energy	energy	NOUN
cana-3288	181	23	consumption	consumption	NOUN
cana-3288	181	24	,	,	PUNCT
cana-3288	181	25	which	which	PRON
cana-3288	181	26	is	be	AUX
cana-3288	181	27	particularly	particularly	ADV
cana-3288	181	28	beneficial	beneficial	ADJ
cana-3288	181	29	in	in	ADP
cana-3288	181	30	iot	iot	ADJ
cana-3288	181	31	applications	application	NOUN
cana-3288	181	32	.	.	PUNCT
cana-3288	182	1	encryption	encryption	NOUN
cana-3288	182	2	and	and	CCONJ
cana-3288	182	3	decryption	decryption	NOUN
cana-3288	182	4	process	process	NOUN
cana-3288	182	5	to	to	PART
cana-3288	182	6	illustrate	illustrate	VERB
cana-3288	182	7	the	the	DET
cana-3288	182	8	integration	integration	NOUN
cana-3288	182	9	of	of	ADP
cana-3288	182	10	ldpc	ldpc	NOUN
cana-3288	182	11	codes	code	NOUN
cana-3288	182	12	into	into	ADP
cana-3288	182	13	the	the	DET
cana-3288	182	14	niederreiter	niederreiter	NOUN
cana-3288	182	15	framework	framework	NOUN
cana-3288	182	16	,	,	PUNCT
cana-3288	182	17	consider	consider	VERB
cana-3288	182	18	the	the	DET
cana-3288	182	19	following	follow	VERB
cana-3288	182	20	steps	step	NOUN
cana-3288	182	21	for	for	ADP
cana-3288	182	22	encryption	encryption	NOUN
cana-3288	182	23	and	and	CCONJ
cana-3288	182	24	decryption	decryption	NOUN
cana-3288	182	25	:	:	PUNCT
cana-3288	182	26	encryption	encryption	NOUN
cana-3288	182	27	:	:	PUNCT
cana-3288	182	28	given	give	VERB
cana-3288	182	29	the	the	DET
cana-3288	182	30	public	public	ADJ
cana-3288	182	31	key	key	ADJ
cana-3288	182	32	h′	h′	X
cana-3288	182	33	(	(	PUNCT
cana-3288	182	34	a	a	DET
cana-3288	182	35	scrambled	scramble	VERB
cana-3288	182	36	version	version	NOUN
cana-3288	182	37	of	of	ADP
cana-3288	182	38	the	the	DET
cana-3288	182	39	ldpc	ldpc	NOUN
cana-3288	182	40	parity	parity	NOUN
cana-3288	182	41	-	-	PUNCT
cana-3288	182	42	check	check	NOUN
cana-3288	182	43	matrix	matrix	NOUN
cana-3288	182	44	)	)	PUNCT
cana-3288	182	45	,	,	PUNCT
cana-3288	182	46	the	the	DET
cana-3288	182	47	sender	sender	NOUN
cana-3288	182	48	selects	select	VERB
cana-3288	182	49	a	a	DET
cana-3288	182	50	random	random	ADJ
cana-3288	182	51	error	error	NOUN
cana-3288	182	52	vector	vector	NOUN
cana-3288	182	53	e	e	NOUN
cana-3288	182	54	with	with	ADP
cana-3288	182	55	a	a	DET
cana-3288	182	56	specified	specify	VERB
cana-3288	182	57	weight	weight	NOUN
cana-3288	182	58	.	.	PUNCT
cana-3288	183	1	the	the	DET
cana-3288	183	2	ciphertext	ciphertext	PROPN
cana-3288	183	3	c	c	PROPN
cana-3288	183	4	is	be	AUX
cana-3288	183	5	computed	compute	VERB
cana-3288	183	6	as	as	ADP
cana-3288	183	7	:	:	PUNCT
cana-3288	183	8	c	c	X
cana-3288	183	9	=	=	SYM
cana-3288	183	10	e.h′	e.h′	X
cana-3288	183	11	this	this	DET
cana-3288	183	12	matrix	matrix	NOUN
cana-3288	183	13	-	-	PUNCT
cana-3288	183	14	vector	vector	NOUN
cana-3288	183	15	multiplication	multiplication	NOUN
cana-3288	183	16	is	be	AUX
cana-3288	183	17	computationally	computationally	ADV
cana-3288	183	18	efficient	efficient	ADJ
cana-3288	183	19	due	due	ADP
cana-3288	183	20	to	to	ADP
cana-3288	183	21	the	the	DET
cana-3288	183	22	sparsity	sparsity	NOUN
cana-3288	183	23	of	of	ADP
cana-3288	183	24	h′	h′	PROPN
cana-3288	183	25	decryption	decryption	NOUN
cana-3288	183	26	:	:	PUNCT
cana-3288	183	27	the	the	DET
cana-3288	183	28	receiver	receiver	NOUN
cana-3288	183	29	,	,	PUNCT
cana-3288	183	30	who	who	PRON
cana-3288	183	31	knows	know	VERB
cana-3288	183	32	the	the	DET
cana-3288	183	33	private	private	ADJ
cana-3288	183	34	key	key	NOUN
cana-3288	183	35	(	(	PUNCT
cana-3288	183	36	the	the	DET
cana-3288	183	37	original	original	ADJ
cana-3288	183	38	ldpc	ldpc	NOUN
cana-3288	183	39	matrix	matrix	NOUN
cana-3288	183	40	and	and	CCONJ
cana-3288	183	41	the	the	DET
cana-3288	183	42	permutation	permutation	NOUN
cana-3288	183	43	)	)	PUNCT
cana-3288	183	44	,	,	PUNCT
cana-3288	183	45	uses	use	VERB
cana-3288	183	46	belief	belief	NOUN
cana-3288	183	47	propagation	propagation	NOUN
cana-3288	183	48	or	or	CCONJ
cana-3288	183	49	a	a	DET
cana-3288	183	50	similar	similar	ADJ
cana-3288	183	51	iterative	iterative	NOUN
cana-3288	183	52	decoding	decode	VERB
cana-3288	183	53	algorithm	algorithm	NOUN
cana-3288	183	54	to	to	PART
cana-3288	183	55	recover	recover	VERB
cana-3288	183	56	the	the	DET
cana-3288	183	57	error	error	NOUN
cana-3288	183	58	vector	vector	NOUN
cana-3288	183	59	e.	e.	PROPN
cana-3288	183	60	since	since	SCONJ
cana-3288	183	61	ldpc	ldpc	NOUN
cana-3288	183	62	codes	code	NOUN
cana-3288	183	63	are	be	AUX
cana-3288	183	64	optimized	optimize	VERB
cana-3288	183	65	for	for	ADP
cana-3288	183	66	fast	fast	ADJ
cana-3288	183	67	error	error	NOUN
cana-3288	183	68	correction	correction	NOUN
cana-3288	183	69	,	,	PUNCT
cana-3288	183	70	the	the	DET
cana-3288	183	71	decryption	decryption	NOUN
cana-3288	183	72	process	process	NOUN
cana-3288	183	73	is	be	AUX
cana-3288	183	74	both	both	DET
cana-3288	183	75	timeand	timeand	NOUN
cana-3288	183	76	energyefficient	energyefficient	NOUN
cana-3288	183	77	.	.	PUNCT
cana-3288	184	1	2.4	2.4	NUM
cana-3288	184	2	performance	performance	NOUN
cana-3288	184	3	gains	gain	NOUN
cana-3288	184	4	and	and	CCONJ
cana-3288	184	5	advantages	advantage	NOUN
cana-3288	184	6	the	the	DET
cana-3288	184	7	integration	integration	NOUN
cana-3288	184	8	of	of	ADP
cana-3288	184	9	ldpc	ldpc	NOUN
cana-3288	184	10	codes	code	NOUN
cana-3288	184	11	into	into	ADP
cana-3288	184	12	the	the	DET
cana-3288	184	13	niederreiter	niederreiter	NOUN
cana-3288	184	14	cryptosystem	cryptosystem	NOUN
cana-3288	184	15	yields	yield	VERB
cana-3288	184	16	several	several	ADJ
cana-3288	184	17	performance	performance	NOUN
cana-3288	184	18	improvements	improvement	NOUN
cana-3288	184	19	:	:	PUNCT
cana-3288	184	20	key	key	ADJ
cana-3288	184	21	size	size	NOUN
cana-3288	184	22	reduction	reduction	NOUN
cana-3288	184	23	:	:	PUNCT
cana-3288	184	24	the	the	DET
cana-3288	184	25	sparse	sparse	ADJ
cana-3288	184	26	structure	structure	NOUN
cana-3288	184	27	of	of	ADP
cana-3288	184	28	ldpc	ldpc	NOUN
cana-3288	184	29	matrices	matrix	NOUN
cana-3288	184	30	significantly	significantly	ADV
cana-3288	184	31	reduces	reduce	VERB
cana-3288	184	32	the	the	DET
cana-3288	184	33	public	public	ADJ
cana-3288	184	34	key	key	ADJ
cana-3288	184	35	size	size	NOUN
cana-3288	184	36	,	,	PUNCT
cana-3288	184	37	making	make	VERB
cana-3288	184	38	the	the	DET
cana-3288	184	39	system	system	NOUN
cana-3288	184	40	more	more	ADV
cana-3288	184	41	practical	practical	ADJ
cana-3288	184	42	for	for	ADP
cana-3288	184	43	applications	application	NOUN
cana-3288	184	44	with	with	ADP
cana-3288	184	45	limited	limited	ADJ
cana-3288	184	46	storage	storage	NOUN
cana-3288	184	47	and	and	CCONJ
cana-3288	184	48	bandwidth	bandwidth	NOUN
cana-3288	184	49	.	.	PUNCT
cana-3288	185	1	decoding	decode	VERB
cana-3288	185	2	efficiency	efficiency	NOUN
cana-3288	185	3	:	:	PUNCT
cana-3288	185	4	the	the	DET
cana-3288	185	5	use	use	NOUN
cana-3288	185	6	of	of	ADP
cana-3288	185	7	iterative	iterative	NOUN
cana-3288	185	8	decoding	decode	VERB
cana-3288	185	9	algorithms	algorithm	NOUN
cana-3288	185	10	like	like	ADP
cana-3288	185	11	belief	belief	NOUN
cana-3288	185	12	propagation	propagation	NOUN
cana-3288	185	13	enables	enable	VERB
cana-3288	185	14	faster	fast	ADJ
cana-3288	185	15	decryption	decryption	NOUN
cana-3288	185	16	,	,	PUNCT
cana-3288	185	17	improving	improve	VERB
cana-3288	185	18	the	the	DET
cana-3288	185	19	system	system	NOUN
cana-3288	185	20	’s	’s	PART
cana-3288	185	21	suitability	suitability	NOUN
cana-3288	185	22	for	for	ADP
cana-3288	185	23	real	real	ADJ
cana-3288	185	24	-	-	PUNCT
cana-3288	185	25	time	time	NOUN
cana-3288	185	26	communication	communication	NOUN
cana-3288	185	27	environments	environment	NOUN
cana-3288	185	28	such	such	ADJ
cana-3288	185	29	as	as	ADP
cana-3288	185	30	iot	iot	PROPN
cana-3288	185	31	networks	network	NOUN
cana-3288	185	32	.	.	PUNCT
cana-3288	186	1	resource	resource	NOUN
cana-3288	186	2	efficiency	efficiency	NOUN
cana-3288	186	3	:	:	PUNCT
cana-3288	186	4	the	the	DET
cana-3288	186	5	reduced	reduced	ADJ
cana-3288	186	6	computational	computational	ADJ
cana-3288	186	7	complexity	complexity	NOUN
cana-3288	186	8	of	of	ADP
cana-3288	186	9	ldpc	ldpc	NOUN
cana-3288	186	10	codes	code	NOUN
cana-3288	186	11	leads	lead	VERB
cana-3288	186	12	to	to	ADP
cana-3288	186	13	lower	low	ADJ
cana-3288	186	14	power	power	NOUN
cana-3288	186	15	consumption	consumption	NOUN
cana-3288	186	16	,	,	PUNCT
cana-3288	186	17	an	an	DET
cana-3288	186	18	important	important	ADJ
cana-3288	186	19	consideration	consideration	NOUN
cana-3288	186	20	for	for	ADP
cana-3288	186	21	devices	device	NOUN
cana-3288	186	22	with	with	ADP
cana-3288	186	23	limited	limited	ADJ
cana-3288	186	24	energy	energy	NOUN
cana-3288	186	25	resources	resource	NOUN
cana-3288	186	26	.	.	PUNCT
cana-3288	187	1	2.4.1	2.4.1	NUM
cana-3288	187	2	niederreiter	niederreiter	NOUN
cana-3288	187	3	cryptosystem	cryptosystem	NOUN
cana-3288	187	4	with	with	ADP
cana-3288	187	5	ldpc	ldpc	NOUN
cana-3288	187	6	codes	code	NOUN
cana-3288	187	7	:	:	PUNCT
cana-3288	187	8	mathematical	mathematical	ADJ
cana-3288	187	9	and	and	CCONJ
cana-3288	187	10	technical	technical	ADJ
cana-3288	187	11	explanation	explanation	NOUN
cana-3288	187	12	overview	overview	NOUN
cana-3288	187	13	of	of	ADP
cana-3288	187	14	the	the	DET
cana-3288	187	15	niederreiter	niederreiter	NOUN
cana-3288	187	16	cryptosystem	cryptosystem	NOUN
cana-3288	187	17	:	:	PUNCT
cana-3288	187	18	the	the	DET
cana-3288	187	19	niederreiter	niederreiter	ADJ
cana-3288	187	20	cryptosystem	cryptosystem	NOUN
cana-3288	187	21	operates	operate	VERB
cana-3288	187	22	on	on	ADP
cana-3288	187	23	binary	binary	ADJ
cana-3288	187	24	linear	linear	PROPN
cana-3288	187	25	codes	code	NOUN
cana-3288	187	26	,	,	PUNCT
cana-3288	187	27	which	which	PRON
cana-3288	187	28	can	can	AUX
cana-3288	187	29	be	be	AUX
cana-3288	187	30	defined	define	VERB
cana-3288	187	31	over	over	ADP
cana-3288	187	32	a	a	DET
cana-3288	187	33	finite	finite	ADJ
cana-3288	187	34	field	field	NOUN
cana-3288	187	35	gf(2	gf(2	PROPN
cana-3288	187	36	)	)	PUNCT
cana-3288	187	37	.	.	PUNCT
cana-3288	188	1	let	let	VERB
cana-3288	188	2	’s	’s	NOUN
cana-3288	188	3	outline	outline	VERB
cana-3288	188	4	the	the	DET
cana-3288	188	5	key	key	ADJ
cana-3288	188	6	processes	process	NOUN
cana-3288	188	7	mathematically	mathematically	ADV
cana-3288	188	8	:	:	PUNCT
cana-3288	188	9	key	key	ADJ
cana-3288	188	10	generation	generation	NOUN
cana-3288	188	11	:	:	PUNCT
cana-3288	188	12	select	select	VERB
cana-3288	188	13	a	a	DET
cana-3288	188	14	linear	linear	NOUN
cana-3288	188	15	error	error	NOUN
cana-3288	188	16	-	-	PUNCT
cana-3288	188	17	correcting	correct	VERB
cana-3288	188	18	code	code	NOUN
cana-3288	188	19	with	with	ADP
cana-3288	188	20	a	a	DET
cana-3288	188	21	parity	parity	NOUN
cana-3288	188	22	-	-	PUNCT
cana-3288	188	23	check	check	NOUN
cana-3288	188	24	matrix	matrix	NOUN
cana-3288	188	25	h	h	NOUN
cana-3288	188	26	∈	∈	NOUN
cana-3288	188	27	gf	gf	X
cana-3288	188	28	(	(	PUNCT
cana-3288	188	29	2)r×n	2)r×n	NUM
cana-3288	188	30	,	,	PUNCT
cana-3288	188	31	where	where	SCONJ
cana-3288	188	32	n	n	PRON
cana-3288	188	33	is	be	AUX
cana-3288	188	34	the	the	DET
cana-3288	188	35	length	length	NOUN
cana-3288	188	36	of	of	ADP
cana-3288	188	37	the	the	DET
cana-3288	188	38	code	code	NOUN
cana-3288	188	39	and	and	CCONJ
cana-3288	188	40	r	r	NOUN
cana-3288	188	41	is	be	AUX
cana-3288	188	42	the	the	DET
cana-3288	188	43	number	number	NOUN
cana-3288	188	44	of	of	ADP
cana-3288	188	45	rows	row	NOUN
cana-3288	188	46	(	(	PUNCT
cana-3288	188	47	defining	define	VERB
cana-3288	188	48	the	the	DET
cana-3288	188	49	rank	rank	NOUN
cana-3288	188	50	of	of	ADP
cana-3288	188	51	the	the	DET
cana-3288	188	52	matrix	matrix	NOUN
cana-3288	188	53	)	)	PUNCT
cana-3288	188	54	.	.	PUNCT
cana-3288	189	1	in	in	ADP
cana-3288	189	2	the	the	DET
cana-3288	189	3	standard	standard	ADJ
cana-3288	189	4	system	system	NOUN
cana-3288	189	5	,	,	PUNCT
cana-3288	189	6	this	this	DET
cana-3288	189	7	matrix	matrix	NOUN
cana-3288	189	8	could	could	AUX
cana-3288	189	9	be	be	AUX
cana-3288	189	10	derived	derive	VERB
cana-3288	189	11	from	from	ADP
cana-3288	189	12	a	a	DET
cana-3288	189	13	goppa	goppa	PROPN
cana-3288	189	14	code	code	PROPN
cana-3288	189	15	.	.	PUNCT
cana-3288	190	1	apply	apply	VERB
cana-3288	190	2	a	a	DET
cana-3288	190	3	random	random	ADJ
cana-3288	190	4	permutation	permutation	NOUN
cana-3288	190	5	p	p	X
cana-3288	190	6	∈	∈	PROPN
cana-3288	190	7	gf	gf	X
cana-3288	190	8	(	(	PUNCT
cana-3288	190	9	2)n×n	2)n×n	NUM
cana-3288	190	10	to	to	ADP
cana-3288	190	11	the	the	DET
cana-3288	190	12	columns	column	NOUN
cana-3288	190	13	of	of	ADP
cana-3288	190	14	h	h	NOUN
cana-3288	190	15	,	,	PUNCT
cana-3288	190	16	producing	produce	VERB
cana-3288	190	17	a	a	DET
cana-3288	190	18	scrambled	scramble	VERB
cana-3288	190	19	matrix	matrix	NOUN
cana-3288	190	20	h′=	h′=	NOUN
cana-3288	190	21	h.p	h.p	PROPN
cana-3288	190	22	.	.	PUNCT
cana-3288	191	1	the	the	DET
cana-3288	191	2	public	public	ADJ
cana-3288	191	3	key	key	NOUN
cana-3288	191	4	is	be	AUX
cana-3288	191	5	h′	h′	PROPN
cana-3288	191	6	,	,	PUNCT
cana-3288	191	7	and	and	CCONJ
cana-3288	191	8	the	the	DET
cana-3288	191	9	private	private	ADJ
cana-3288	191	10	key	key	NOUN
cana-3288	191	11	is	be	AUX
cana-3288	191	12	(	(	PUNCT
cana-3288	191	13	h	h	NOUN
cana-3288	191	14	,	,	PUNCT
cana-3288	191	15	p	p	NOUN
cana-3288	191	16	)	)	PUNCT
cana-3288	191	17	.	.	PUNCT
cana-3288	192	1	encryption	encryption	NOUN
cana-3288	192	2	:	:	PUNCT
cana-3288	192	3	let	let	VERB
cana-3288	192	4	e	e	X
cana-3288	192	5	∈	∈	PRON
cana-3288	192	6	gf	gf	X
cana-3288	192	7	(	(	PUNCT
cana-3288	192	8	2)n	2)n	NOUN
cana-3288	192	9	be	be	AUX
cana-3288	192	10	a	a	DET
cana-3288	192	11	random	random	ADJ
cana-3288	192	12	error	error	NOUN
cana-3288	192	13	vector	vector	NOUN
cana-3288	192	14	with	with	ADP
cana-3288	192	15	hamming	ham	VERB
cana-3288	192	16	weight	weight	NOUN
cana-3288	192	17	w	w	NOUN
cana-3288	192	18	,	,	PUNCT
cana-3288	192	19	meaning	mean	VERB
cana-3288	192	20	the	the	DET
cana-3288	192	21	number	number	NOUN
cana-3288	192	22	of	of	ADP
cana-3288	192	23	nonzero	nonzero	ADJ
cana-3288	192	24	elements	element	NOUN
cana-3288	192	25	in	in	ADP
cana-3288	192	26	e	e	PROPN
cana-3288	192	27	is	be	AUX
cana-3288	192	28	fixed	fix	VERB
cana-3288	192	29	to	to	ADP
cana-3288	192	30	a	a	DET
cana-3288	192	31	small	small	ADJ
cana-3288	192	32	value	value	NOUN
cana-3288	192	33	w	w	NOUN
cana-3288	192	34	(	(	PUNCT
cana-3288	192	35	typically	typically	ADV
cana-3288	192	36	much	much	ADV
cana-3288	192	37	smaller	small	ADJ
cana-3288	192	38	than	than	ADP
cana-3288	192	39	n	n	CCONJ
cana-3288	192	40	)	)	PUNCT
cana-3288	192	41	.	.	PUNCT
cana-3288	193	1	the	the	DET
cana-3288	193	2	ciphertext	ciphertext	PROPN
cana-3288	193	3	c	c	PROPN
cana-3288	193	4	∈	∈	PRON
cana-3288	193	5	gf	gf	X
cana-3288	193	6	(	(	PUNCT
cana-3288	193	7	2)r	2)r	NOUN
cana-3288	193	8	is	be	AUX
cana-3288	193	9	computed	compute	VERB
cana-3288	193	10	as	as	ADP
cana-3288	193	11	:	:	PUNCT
cana-3288	193	12	c	c	NOUN
cana-3288	193	13	=	=	SYM
cana-3288	193	14	e.h′	e.h′	X
cana-3288	193	15	communications	communication	NOUN
cana-3288	193	16	on	on	ADP
cana-3288	193	17	applied	apply	VERB
cana-3288	193	18	nonlinear	nonlinear	ADJ
cana-3288	193	19	analysis	analysis	NOUN
cana-3288	193	20	issn	issn	NOUN
cana-3288	193	21	:	:	PUNCT
cana-3288	193	22	1074	1074	NUM
cana-3288	193	23	-	-	PUNCT
cana-3288	193	24	133x	133x	NUM
cana-3288	193	25	vol	vol	NOUN
cana-3288	193	26	32	32	NUM
cana-3288	193	27	no	no	NOUN
cana-3288	193	28	.	.	PUNCT
cana-3288	194	1	6s	6s	NUM
cana-3288	194	2	(	(	PUNCT
cana-3288	194	3	2025	2025	NUM
cana-3288	194	4	)	)	PUNCT
cana-3288	194	5	225	225	NUM
cana-3288	194	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3288	194	7	this	this	DET
cana-3288	194	8	step	step	NOUN
cana-3288	194	9	involves	involve	VERB
cana-3288	194	10	multiplying	multiply	VERB
cana-3288	194	11	the	the	DET
cana-3288	194	12	error	error	NOUN
cana-3288	194	13	vector	vector	NOUN
cana-3288	194	14	by	by	ADP
cana-3288	194	15	the	the	DET
cana-3288	194	16	public	public	ADJ
cana-3288	194	17	key	key	ADJ
cana-3288	194	18	h′	h′	PROPN
cana-3288	194	19	,	,	PUNCT
cana-3288	194	20	which	which	PRON
cana-3288	194	21	results	result	VERB
cana-3288	194	22	in	in	ADP
cana-3288	194	23	the	the	DET
cana-3288	194	24	encoded	encode	VERB
cana-3288	194	25	ciphertext.this	ciphertext.this	PRON
cana-3288	194	26	step	step	NOUN
cana-3288	194	27	involves	involve	VERB
cana-3288	194	28	multiplying	multiply	VERB
cana-3288	194	29	the	the	DET
cana-3288	194	30	error	error	NOUN
cana-3288	194	31	vector	vector	NOUN
cana-3288	194	32	by	by	ADP
cana-3288	194	33	the	the	DET
cana-3288	194	34	public	public	ADJ
cana-3288	194	35	key	key	ADJ
cana-3288	194	36	h′	h′	PROPN
cana-3288	194	37	,	,	PUNCT
cana-3288	194	38	which	which	PRON
cana-3288	194	39	results	result	VERB
cana-3288	194	40	in	in	ADP
cana-3288	194	41	the	the	DET
cana-3288	194	42	encoded	encode	VERB
cana-3288	194	43	ciphertext	ciphertext	NOUN
cana-3288	194	44	.	.	PUNCT
cana-3288	195	1	decryption	decryption	NOUN
cana-3288	195	2	:	:	PUNCT
cana-3288	195	3	to	to	PART
cana-3288	195	4	decrypt	decrypt	VERB
cana-3288	195	5	the	the	DET
cana-3288	195	6	ciphertext	ciphertext	NOUN
cana-3288	195	7	,	,	PUNCT
cana-3288	195	8	the	the	DET
cana-3288	195	9	receiver	receiver	NOUN
cana-3288	195	10	uses	use	VERB
cana-3288	195	11	the	the	DET
cana-3288	195	12	private	private	ADJ
cana-3288	195	13	key	key	NOUN
cana-3288	195	14	(	(	PUNCT
cana-3288	195	15	h	h	NOUN
cana-3288	195	16	,	,	PUNCT
cana-3288	195	17	p	p	NOUN
cana-3288	195	18	)	)	PUNCT
cana-3288	195	19	.	.	PUNCT
cana-3288	196	1	first	first	ADV
cana-3288	196	2	,	,	PUNCT
cana-3288	196	3	the	the	DET
cana-3288	196	4	permutation	permutation	NOUN
cana-3288	196	5	p	p	NOUN
cana-3288	196	6	is	be	AUX
cana-3288	196	7	applied	apply	VERB
cana-3288	196	8	in	in	ADP
cana-3288	196	9	reverse	reverse	NOUN
cana-3288	196	10	to	to	ADP
cana-3288	196	11	the	the	DET
cana-3288	196	12	ciphertext	ciphertext	NOUN
cana-3288	196	13	,	,	PUNCT
cana-3288	196	14	resulting	result	VERB
cana-3288	196	15	in	in	ADP
cana-3288	196	16	c′=	c′=	PROPN
cana-3288	196	17	c.p	c.p	PROPN
cana-3288	196	18	−1	−1	NOUN
cana-3288	196	19	.	.	PUNCT
cana-3288	197	1	the	the	DET
cana-3288	197	2	receiver	receiver	NOUN
cana-3288	197	3	then	then	ADV
cana-3288	197	4	uses	use	VERB
cana-3288	197	5	an	an	DET
cana-3288	197	6	error	error	NOUN
cana-3288	197	7	-	-	PUNCT
cana-3288	197	8	correction	correction	NOUN
cana-3288	197	9	algorithm	algorithm	NOUN
cana-3288	197	10	to	to	PART
cana-3288	197	11	decode	decode	VERB
cana-3288	197	12	the	the	DET
cana-3288	197	13	error	error	NOUN
cana-3288	197	14	vector	vector	NOUN
cana-3288	197	15	e	e	NOUN
cana-3288	197	16	from	from	ADP
cana-3288	197	17	c′	c′	NUM
cana-3288	197	18	,	,	PUNCT
cana-3288	197	19	utilizing	utilize	VERB
cana-3288	197	20	their	their	PRON
cana-3288	197	21	knowledge	knowledge	NOUN
cana-3288	197	22	of	of	ADP
cana-3288	197	23	the	the	DET
cana-3288	197	24	original	original	ADJ
cana-3288	197	25	parity	parity	NOUN
cana-3288	197	26	-	-	PUNCT
cana-3288	197	27	check	check	NOUN
cana-3288	197	28	matrix	matrix	NOUN
cana-3288	197	29	h.	h.	NOUN
cana-3288	198	1	an	an	DET
cana-3288	198	2	ldpc	ldpc	NOUN
cana-3288	198	3	code	code	NOUN
cana-3288	198	4	is	be	AUX
cana-3288	198	5	defined	define	VERB
cana-3288	198	6	by	by	ADP
cana-3288	198	7	a	a	DET
cana-3288	198	8	parity	parity	NOUN
cana-3288	198	9	-	-	PUNCT
cana-3288	198	10	check	check	NOUN
cana-3288	198	11	matrix	matrix	NOUN
cana-3288	198	12	h	h	NOUN
cana-3288	198	13	∈	∈	NOUN
cana-3288	198	14	gf	gf	X
cana-3288	198	15	(	(	PUNCT
cana-3288	198	16	2)r×n	2)r×n	NUM
cana-3288	198	17	with	with	ADP
cana-3288	198	18	low	low	ADJ
cana-3288	198	19	density	density	NOUN
cana-3288	198	20	of	of	ADP
cana-3288	198	21	non	non	ADJ
cana-3288	198	22	-	-	ADJ
cana-3288	198	23	zero	zero	NUM
cana-3288	198	24	entries	entry	NOUN
cana-3288	198	25	.	.	PUNCT
cana-3288	199	1	this	this	DET
cana-3288	199	2	sparsity	sparsity	NOUN
cana-3288	199	3	leads	lead	VERB
cana-3288	199	4	to	to	ADP
cana-3288	199	5	computational	computational	ADJ
cana-3288	199	6	and	and	CCONJ
cana-3288	199	7	storage	storage	NOUN
cana-3288	199	8	advantages	advantage	NOUN
cana-3288	199	9	.	.	PUNCT
cana-3288	200	1	the	the	DET
cana-3288	200	2	key	key	ADJ
cana-3288	200	3	properties	property	NOUN
cana-3288	200	4	of	of	ADP
cana-3288	200	5	ldpc	ldpc	NOUN
cana-3288	200	6	codes	code	NOUN
cana-3288	200	7	are	be	AUX
cana-3288	200	8	:	:	PUNCT
cana-3288	200	9	sparse	sparse	ADJ
cana-3288	200	10	matrix	matrix	NOUN
cana-3288	200	11	structure	structure	NOUN
cana-3288	200	12	:	:	PUNCT
cana-3288	200	13	for	for	ADP
cana-3288	200	14	ldpc	ldpc	NOUN
cana-3288	200	15	codes	code	NOUN
cana-3288	200	16	,	,	PUNCT
cana-3288	200	17	each	each	DET
cana-3288	200	18	row	row	NOUN
cana-3288	200	19	and	and	CCONJ
cana-3288	200	20	column	column	NOUN
cana-3288	200	21	of	of	ADP
cana-3288	200	22	the	the	DET
cana-3288	200	23	matrix	matrix	NOUN
cana-3288	200	24	contains	contain	VERB
cana-3288	200	25	relatively	relatively	ADV
cana-3288	200	26	few	few	ADJ
cana-3288	200	27	non	non	ADJ
cana-3288	200	28	-	-	ADJ
cana-3288	200	29	zero	zero	NUM
cana-3288	200	30	entries	entry	NOUN
cana-3288	200	31	.	.	PUNCT
cana-3288	201	1	formally	formally	ADV
cana-3288	201	2	,	,	PUNCT
cana-3288	201	3	for	for	ADP
cana-3288	201	4	a	a	DET
cana-3288	201	5	matrix	matrix	NOUN
cana-3288	201	6	h	h	NOUN
cana-3288	201	7	of	of	ADP
cana-3288	201	8	dimensions	dimension	NOUN
cana-3288	201	9	r	r	NOUN
cana-3288	201	10	×	×	NOUN
cana-3288	201	11	n	n	CCONJ
cana-3288	201	12	,	,	PUNCT
cana-3288	201	13	the	the	DET
cana-3288	201	14	number	number	NOUN
cana-3288	201	15	of	of	ADP
cana-3288	201	16	non	non	ADJ
cana-3288	201	17	-	-	ADJ
cana-3288	201	18	zero	zero	NUM
cana-3288	201	19	entries	entry	NOUN
cana-3288	201	20	per	per	ADP
cana-3288	201	21	row	row	NOUN
cana-3288	201	22	is	be	AUX
cana-3288	201	23	typically	typically	ADV
cana-3288	201	24	much	much	ADV
cana-3288	201	25	smaller	small	ADJ
cana-3288	201	26	than	than	ADP
cana-3288	201	27	n	n	CCONJ
cana-3288	201	28	,	,	PUNCT
cana-3288	201	29	and	and	CCONJ
cana-3288	201	30	similarly	similarly	ADV
cana-3288	201	31	,	,	PUNCT
cana-3288	201	32	each	each	DET
cana-3288	201	33	column	column	NOUN
cana-3288	201	34	has	have	VERB
cana-3288	201	35	few	few	ADJ
cana-3288	201	36	non	non	ADJ
cana-3288	201	37	-	-	ADJ
cana-3288	201	38	zero	zero	NUM
cana-3288	201	39	entries	entry	NOUN
cana-3288	201	40	relative	relative	ADJ
cana-3288	201	41	to	to	ADP
cana-3288	201	42	r.	r.	PROPN
cana-3288	201	43	iterative	iterative	PROPN
cana-3288	201	44	decoding	decoding	NOUN
cana-3288	201	45	:	:	PUNCT
cana-3288	201	46	ldpc	ldpc	NOUN
cana-3288	201	47	codes	code	NOUN
cana-3288	201	48	are	be	AUX
cana-3288	201	49	decoded	decode	VERB
cana-3288	201	50	using	use	VERB
cana-3288	201	51	algorithms	algorithm	NOUN
cana-3288	201	52	like	like	ADP
cana-3288	201	53	belief	belief	NOUN
cana-3288	201	54	propagation	propagation	NOUN
cana-3288	201	55	or	or	CCONJ
cana-3288	201	56	the	the	DET
cana-3288	201	57	sum	sum	NOUN
cana-3288	201	58	product	product	NOUN
cana-3288	201	59	algorithm	algorithm	NOUN
cana-3288	201	60	,	,	PUNCT
cana-3288	201	61	which	which	PRON
cana-3288	201	62	are	be	AUX
cana-3288	201	63	efficient	efficient	ADJ
cana-3288	201	64	for	for	ADP
cana-3288	201	65	sparse	sparse	ADJ
cana-3288	201	66	matrices	matrix	NOUN
cana-3288	201	67	.	.	PUNCT
cana-3288	202	1	these	these	DET
cana-3288	202	2	algorithms	algorithm	NOUN
cana-3288	202	3	iteratively	iteratively	ADV
cana-3288	202	4	update	update	VERB
cana-3288	202	5	esti	esti	PROPN
cana-3288	202	6	mates	mate	NOUN
cana-3288	202	7	of	of	ADP
cana-3288	202	8	the	the	DET
cana-3288	202	9	transmitted	transmit	VERB
cana-3288	202	10	message	message	NOUN
cana-3288	202	11	based	base	VERB
cana-3288	202	12	on	on	ADP
cana-3288	202	13	the	the	DET
cana-3288	202	14	structure	structure	NOUN
cana-3288	202	15	of	of	ADP
cana-3288	202	16	h.	h.	PROPN
cana-3288	202	17	to	to	PART
cana-3288	202	18	integrate	integrate	VERB
cana-3288	202	19	ldpc	ldpc	NOUN
cana-3288	202	20	codes	code	NOUN
cana-3288	202	21	into	into	ADP
cana-3288	202	22	the	the	DET
cana-3288	202	23	niederreiter	niederreiter	NOUN
cana-3288	202	24	cryptosystem	cryptosystem	NOUN
cana-3288	202	25	,	,	PUNCT
cana-3288	202	26	the	the	DET
cana-3288	202	27	key	key	ADJ
cana-3288	202	28	modification	modification	NOUN
cana-3288	202	29	involves	involve	VERB
cana-3288	202	30	replacing	replace	VERB
cana-3288	202	31	the	the	DET
cana-3288	202	32	traditional	traditional	ADJ
cana-3288	202	33	dense	dense	ADJ
cana-3288	202	34	parity	parity	NOUN
cana-3288	202	35	-	-	PUNCT
cana-3288	202	36	check	check	NOUN
cana-3288	202	37	matrix	matrix	NOUN
cana-3288	202	38	with	with	ADP
cana-3288	202	39	an	an	DET
cana-3288	202	40	ldpc	ldpc	NOUN
cana-3288	202	41	matrix	matrix	NOUN
cana-3288	202	42	.	.	PUNCT
cana-3288	203	1	key	key	ADJ
cana-3288	203	2	generation	generation	NOUN
cana-3288	203	3	with	with	ADP
cana-3288	203	4	ldpc	ldpc	NOUN
cana-3288	203	5	codes	code	NOUN
cana-3288	203	6	select	select	VERB
cana-3288	203	7	a	a	DET
cana-3288	203	8	random	random	ADJ
cana-3288	203	9	ldpc	ldpc	NOUN
cana-3288	203	10	code	code	NOUN
cana-3288	203	11	with	with	ADP
cana-3288	203	12	a	a	DET
cana-3288	203	13	parity	parity	NOUN
cana-3288	203	14	-	-	PUNCT
cana-3288	203	15	check	check	NOUN
cana-3288	203	16	matrix	matrix	NOUN
cana-3288	203	17	hldp	hldp	NOUN
cana-3288	203	18	c	c	PROPN
cana-3288	203	19	∈	∈	PROPN
cana-3288	203	20	gf	gf	X
cana-3288	203	21	(	(	PUNCT
cana-3288	203	22	2)r×n	2)r×n	NUM
cana-3288	203	23	,	,	PUNCT
cana-3288	203	24	which	which	PRON
cana-3288	203	25	is	be	AUX
cana-3288	203	26	sparse	sparse	ADJ
cana-3288	203	27	,	,	PUNCT
cana-3288	203	28	meaning	mean	VERB
cana-3288	203	29	most	most	ADJ
cana-3288	203	30	entries	entry	NOUN
cana-3288	203	31	in	in	ADP
cana-3288	203	32	hldp	hldp	PROPN
cana-3288	203	33	c	c	PROPN
cana-3288	203	34	are	be	AUX
cana-3288	203	35	zero	zero	NUM
cana-3288	203	36	.	.	PUNCT
cana-3288	204	1	this	this	DET
cana-3288	204	2	sparsity	sparsity	NOUN
cana-3288	204	3	allows	allow	VERB
cana-3288	204	4	for	for	ADP
cana-3288	204	5	a	a	DET
cana-3288	204	6	reduction	reduction	NOUN
cana-3288	204	7	in	in	ADP
cana-3288	204	8	key	key	ADJ
cana-3288	204	9	size	size	NOUN
cana-3288	204	10	since	since	SCONJ
cana-3288	204	11	fewer	few	ADJ
cana-3288	204	12	elements	element	NOUN
cana-3288	204	13	need	need	VERB
cana-3288	204	14	to	to	PART
cana-3288	204	15	be	be	AUX
cana-3288	204	16	stored	store	VERB
cana-3288	204	17	.	.	PUNCT
cana-3288	205	1	apply	apply	VERB
cana-3288	205	2	a	a	DET
cana-3288	205	3	random	random	ADJ
cana-3288	205	4	permutation	permutation	NOUN
cana-3288	205	5	p	p	NOUN
cana-3288	205	6	to	to	ADP
cana-3288	205	7	the	the	DET
cana-3288	205	8	columns	column	NOUN
cana-3288	205	9	of	of	ADP
cana-3288	205	10	hldp	hldp	NOUN
cana-3288	205	11	c	c	PROPN
cana-3288	205	12	to	to	PART
cana-3288	205	13	generate	generate	VERB
cana-3288	205	14	the	the	DET
cana-3288	205	15	scrambled	scramble	VERB
cana-3288	205	16	matrix	matrix	NOUN
cana-3288	205	17	h′	h′	PROPN
cana-3288	205	18	h′ldpc	h′ldpc	PROPN
cana-3288	205	19	=	=	PROPN
cana-3288	205	20	hldp	hldp	NOUN
cana-3288	205	21	c	c	PROPN
cana-3288	205	22	.p	.p	PROPN
cana-3288	205	23	.	.	PUNCT
cana-3288	206	1	the	the	DET
cana-3288	206	2	public	public	ADJ
cana-3288	206	3	key	key	NOUN
cana-3288	206	4	is	be	AUX
cana-3288	206	5	the	the	DET
cana-3288	206	6	sparse	sparse	ADJ
cana-3288	206	7	matrix	matrix	NOUN
cana-3288	206	8	h′ldpc	h′ldpc	NOUN
cana-3288	206	9	,	,	PUNCT
cana-3288	206	10	and	and	CCONJ
cana-3288	206	11	the	the	DET
cana-3288	206	12	private	private	ADJ
cana-3288	206	13	key	key	NOUN
cana-3288	206	14	is	be	AUX
cana-3288	206	15	(	(	PUNCT
cana-3288	206	16	hldp	hldp	NOUN
cana-3288	206	17	c	c	PROPN
cana-3288	206	18	,	,	PUNCT
cana-3288	206	19	p	p	NOUN
cana-3288	206	20	)	)	PUNCT
cana-3288	206	21	.	.	PUNCT
cana-3288	207	1	encryption	encryption	NOUN
cana-3288	207	2	with	with	ADP
cana-3288	207	3	ldpc	ldpc	NOUN
cana-3288	207	4	codes	code	NOUN
cana-3288	207	5	encryption	encryption	NOUN
cana-3288	207	6	follows	follow	VERB
cana-3288	207	7	the	the	DET
cana-3288	207	8	same	same	ADJ
cana-3288	207	9	steps	step	NOUN
cana-3288	207	10	as	as	ADP
cana-3288	207	11	in	in	ADP
cana-3288	207	12	the	the	DET
cana-3288	207	13	standard	standard	ADJ
cana-3288	207	14	niederreiter	niederreiter	NOUN
cana-3288	207	15	system	system	NOUN
cana-3288	207	16	:	:	PUNCT
cana-3288	207	17	•	•	X
cana-3288	207	18	choose	choose	VERB
cana-3288	207	19	a	a	DET
cana-3288	207	20	random	random	ADJ
cana-3288	207	21	error	error	NOUN
cana-3288	207	22	vector	vector	NOUN
cana-3288	207	23	e	e	NOUN
cana-3288	207	24	∈	∈	NOUN
cana-3288	207	25	gf	gf	X
cana-3288	207	26	(	(	PUNCT
cana-3288	207	27	2)n	2)n	NOUN
cana-3288	207	28	with	with	ADP
cana-3288	207	29	fixed	fix	VERB
cana-3288	207	30	hamming	hamming	NOUN
cana-3288	207	31	weight	weight	NOUN
cana-3288	207	32	w	w	NOUN
cana-3288	207	33	,	,	PUNCT
cana-3288	207	34	where	where	SCONJ
cana-3288	207	35	w	w	NOUN
cana-3288	207	36	is	be	AUX
cana-3288	207	37	much	much	ADV
cana-3288	207	38	smaller	small	ADJ
cana-3288	207	39	than	than	ADP
cana-3288	207	40	n.	n.	NOUN
cana-3288	207	41	•	•	NOUN
cana-3288	207	42	compute	compute	VERB
cana-3288	207	43	the	the	DET
cana-3288	207	44	ciphertext	ciphertext	NOUN
cana-3288	207	45	:	:	PUNCT
cana-3288	207	46	c	c	X
cana-3288	207	47	=	=	PUNCT
cana-3288	207	48	e.h′ldpc	e.h′ldpc	PROPN
cana-3288	207	49	due	due	ADP
cana-3288	207	50	to	to	ADP
cana-3288	207	51	the	the	DET
cana-3288	207	52	sparsity	sparsity	NOUN
cana-3288	207	53	of	of	ADP
cana-3288	207	54	h′ldpc	h′ldpc	NOUN
cana-3288	207	55	,	,	PUNCT
cana-3288	207	56	this	this	DET
cana-3288	207	57	matrix	matrix	NOUN
cana-3288	207	58	-	-	PUNCT
cana-3288	207	59	vector	vector	NOUN
cana-3288	207	60	multiplication	multiplication	NOUN
cana-3288	207	61	is	be	AUX
cana-3288	207	62	computationally	computationally	ADV
cana-3288	207	63	efficient	efficient	ADJ
cana-3288	207	64	.	.	PUNCT
cana-3288	208	1	the	the	DET
cana-3288	208	2	time	time	NOUN
cana-3288	208	3	complexity	complexity	NOUN
cana-3288	208	4	of	of	ADP
cana-3288	208	5	this	this	DET
cana-3288	208	6	operation	operation	NOUN
cana-3288	208	7	is	be	AUX
cana-3288	208	8	proportional	proportional	ADJ
cana-3288	208	9	to	to	ADP
cana-3288	208	10	the	the	DET
cana-3288	208	11	number	number	NOUN
cana-3288	208	12	of	of	ADP
cana-3288	208	13	non	non	ADJ
cana-3288	208	14	-	-	ADJ
cana-3288	208	15	zero	zero	NUM
cana-3288	208	16	entries	entry	NOUN
cana-3288	208	17	in	in	ADP
cana-3288	208	18	h′ldpc	h′ldpc	PROPN
cana-3288	208	19	,	,	PUNCT
cana-3288	208	20	which	which	PRON
cana-3288	208	21	is	be	AUX
cana-3288	208	22	much	much	ADV
cana-3288	208	23	smaller	small	ADJ
cana-3288	208	24	than	than	ADP
cana-3288	208	25	r	r	NOUN
cana-3288	208	26	×	×	NOUN
cana-3288	208	27	n	n	NOUN
cana-3288	208	28	for	for	ADP
cana-3288	208	29	a	a	DET
cana-3288	208	30	dense	dense	ADJ
cana-3288	208	31	matrix	matrix	NOUN
cana-3288	208	32	.	.	PUNCT
cana-3288	209	1	communications	communication	NOUN
cana-3288	209	2	on	on	ADP
cana-3288	209	3	applied	apply	VERB
cana-3288	209	4	nonlinear	nonlinear	ADJ
cana-3288	209	5	analysis	analysis	NOUN
cana-3288	209	6	issn	issn	NOUN
cana-3288	209	7	:	:	PUNCT
cana-3288	209	8	1074	1074	NUM
cana-3288	209	9	-	-	PUNCT
cana-3288	209	10	133x	133x	NUM
cana-3288	209	11	vol	vol	NOUN
cana-3288	209	12	32	32	NUM
cana-3288	209	13	no	no	NOUN
cana-3288	209	14	.	.	PUNCT
cana-3288	210	1	6s	6s	NUM
cana-3288	210	2	(	(	PUNCT
cana-3288	210	3	2025	2025	NUM
cana-3288	210	4	)	)	PUNCT
cana-3288	211	1	226	226	NUM
cana-3288	211	2	https://internationalpubls.com	https://internationalpubls.com	X
cana-3288	211	3	decryption	decryption	NOUN
cana-3288	211	4	with	with	ADP
cana-3288	211	5	ldpc	ldpc	NOUN
cana-3288	211	6	codes	code	NOUN
cana-3288	211	7	decryption	decryption	NOUN
cana-3288	211	8	in	in	ADP
cana-3288	211	9	the	the	DET
cana-3288	211	10	ldpc	ldpc	NOUN
cana-3288	211	11	-	-	PUNCT
cana-3288	211	12	enhanced	enhance	VERB
cana-3288	211	13	niederreiter	niederreiter	NOUN
cana-3288	211	14	cryptosystem	cryptosystem	NOUN
cana-3288	211	15	involves	involve	VERB
cana-3288	211	16	the	the	DET
cana-3288	211	17	following	follow	VERB
cana-3288	211	18	steps	step	NOUN
cana-3288	211	19	:	:	PUNCT
cana-3288	211	20	reverse	reverse	ADJ
cana-3288	211	21	permutation	permutation	NOUN
cana-3288	211	22	:	:	PUNCT
cana-3288	211	23	the	the	DET
cana-3288	211	24	receiver	receiver	NOUN
cana-3288	211	25	uses	use	VERB
cana-3288	211	26	their	their	PRON
cana-3288	211	27	private	private	ADJ
cana-3288	211	28	key	key	NOUN
cana-3288	211	29	p	p	NOUN
cana-3288	211	30	to	to	PART
cana-3288	211	31	apply	apply	VERB
cana-3288	211	32	the	the	DET
cana-3288	211	33	inverse	inverse	NOUN
cana-3288	211	34	permutation	permutation	NOUN
cana-3288	211	35	to	to	ADP
cana-3288	211	36	the	the	DET
cana-3288	211	37	ciphertext	ciphertext	PROPN
cana-3288	211	38	c	c	NOUN
cana-3288	211	39	,	,	PUNCT
cana-3288	211	40	resulting	result	VERB
cana-3288	211	41	in	in	ADP
cana-3288	211	42	c′=	c′=	PROPN
cana-3288	211	43	c.p	c.p	PROPN
cana-3288	211	44	−1	−1	NOUN
cana-3288	211	45	.	.	PUNCT
cana-3288	212	1	iterative	iterative	NOUN
cana-3288	212	2	decoding	decoding	NOUN
cana-3288	212	3	:	:	PUNCT
cana-3288	212	4	using	use	VERB
cana-3288	212	5	the	the	DET
cana-3288	212	6	known	know	VERB
cana-3288	212	7	ldpc	ldpc	NOUN
cana-3288	212	8	parity	parity	NOUN
cana-3288	212	9	-	-	PUNCT
cana-3288	212	10	check	check	NOUN
cana-3288	212	11	matrix	matrix	NOUN
cana-3288	212	12	hldpc	hldpc	NOUN
cana-3288	212	13	,	,	PUNCT
cana-3288	212	14	the	the	DET
cana-3288	212	15	receiver	receiver	NOUN
cana-3288	212	16	applies	apply	VERB
cana-3288	212	17	an	an	DET
cana-3288	212	18	iterative	iterative	NOUN
cana-3288	212	19	decoding	decode	VERB
cana-3288	212	20	algorithm	algorithm	NOUN
cana-3288	212	21	(	(	PUNCT
cana-3288	212	22	e.g.	e.g.	ADV
cana-3288	212	23	,	,	PUNCT
cana-3288	212	24	belief	belief	NOUN
cana-3288	212	25	propagation	propagation	NOUN
cana-3288	212	26	)	)	PUNCT
cana-3288	212	27	to	to	PART
cana-3288	212	28	c′.	c′.	VERB
cana-3288	212	29	the	the	DET
cana-3288	212	30	goal	goal	NOUN
cana-3288	212	31	is	be	AUX
cana-3288	212	32	to	to	PART
cana-3288	212	33	recover	recover	VERB
cana-3288	212	34	the	the	DET
cana-3288	212	35	original	original	ADJ
cana-3288	212	36	error	error	NOUN
cana-3288	212	37	vectore	vectore	NOUN
cana-3288	212	38	by	by	ADP
cana-3288	212	39	exploiting	exploit	VERB
cana-3288	212	40	the	the	DET
cana-3288	212	41	sparse	sparse	ADJ
cana-3288	212	42	structure	structure	NOUN
cana-3288	212	43	of	of	ADP
cana-3288	212	44	hldpc	hldpc	PROPN
cana-3288	212	45	.	.	PUNCT
cana-3288	213	1	decryption	decryption	NOUN
cana-3288	213	2	with	with	ADP
cana-3288	213	3	ldpc	ldpc	NOUN
cana-3288	213	4	codes	code	NOUN
cana-3288	213	5	decryption	decryption	NOUN
cana-3288	213	6	in	in	ADP
cana-3288	213	7	the	the	DET
cana-3288	213	8	ldpc	ldpc	NOUN
cana-3288	213	9	-	-	PUNCT
cana-3288	213	10	enhanced	enhance	VERB
cana-3288	213	11	niederreiter	niederreiter	NOUN
cana-3288	213	12	cryptosystem	cryptosystem	NOUN
cana-3288	213	13	involves	involve	VERB
cana-3288	213	14	the	the	DET
cana-3288	213	15	following	follow	VERB
cana-3288	213	16	steps	step	NOUN
cana-3288	213	17	:	:	PUNCT
cana-3288	213	18	reverse	reverse	ADJ
cana-3288	213	19	permutation	permutation	NOUN
cana-3288	213	20	:	:	PUNCT
cana-3288	213	21	the	the	DET
cana-3288	213	22	receiver	receiver	NOUN
cana-3288	213	23	uses	use	VERB
cana-3288	213	24	their	their	PRON
cana-3288	213	25	private	private	ADJ
cana-3288	213	26	key	key	NOUN
cana-3288	213	27	p	p	NOUN
cana-3288	213	28	to	to	PART
cana-3288	213	29	apply	apply	VERB
cana-3288	213	30	the	the	DET
cana-3288	213	31	inverse	inverse	NOUN
cana-3288	213	32	permutation	permutation	NOUN
cana-3288	213	33	to	to	ADP
cana-3288	213	34	the	the	DET
cana-3288	213	35	ciphertext	ciphertext	PROPN
cana-3288	213	36	c	c	NOUN
cana-3288	213	37	,	,	PUNCT
cana-3288	213	38	resulting	result	VERB
cana-3288	213	39	in	in	ADP
cana-3288	213	40	c′=	c′=	ADJ
cana-3288	213	41	c.p	c.p	PROPN
cana-3288	213	42	−1	−1	NOUN
cana-3288	213	43	iterative	iterative	NOUN
cana-3288	213	44	decoding	decoding	NOUN
cana-3288	213	45	:	:	PUNCT
cana-3288	213	46	using	use	VERB
cana-3288	213	47	the	the	DET
cana-3288	213	48	known	know	VERB
cana-3288	213	49	ldpc	ldpc	NOUN
cana-3288	213	50	parity	parity	NOUN
cana-3288	213	51	-	-	PUNCT
cana-3288	213	52	check	check	NOUN
cana-3288	213	53	matrix	matrix	NOUN
cana-3288	213	54	hldpc	hldpc	NOUN
cana-3288	213	55	,	,	PUNCT
cana-3288	213	56	the	the	DET
cana-3288	213	57	receiver	receiver	NOUN
cana-3288	213	58	applies	apply	VERB
cana-3288	213	59	an	an	DET
cana-3288	213	60	itera	itera	NOUN
cana-3288	213	61	tive	tive	NOUN
cana-3288	213	62	decoding	decode	VERB
cana-3288	213	63	algorithm	algorithm	NOUN
cana-3288	213	64	(	(	PUNCT
cana-3288	213	65	e.g.	e.g.	ADV
cana-3288	213	66	,	,	PUNCT
cana-3288	213	67	belief	belief	NOUN
cana-3288	213	68	propagation	propagation	NOUN
cana-3288	213	69	)	)	PUNCT
cana-3288	213	70	to	to	PART
cana-3288	213	71	c′.	c′.	VERB
cana-3288	213	72	the	the	DET
cana-3288	213	73	goal	goal	NOUN
cana-3288	213	74	is	be	AUX
cana-3288	213	75	to	to	PART
cana-3288	213	76	recover	recover	VERB
cana-3288	213	77	the	the	DET
cana-3288	213	78	original	original	ADJ
cana-3288	213	79	error	error	NOUN
cana-3288	213	80	vectore	vectore	NOUN
cana-3288	213	81	by	by	ADP
cana-3288	213	82	exploiting	exploit	VERB
cana-3288	213	83	the	the	DET
cana-3288	213	84	sparse	sparse	ADJ
cana-3288	213	85	structure	structure	NOUN
cana-3288	213	86	of	of	ADP
cana-3288	213	87	hldpc	hldpc	PROPN
cana-3288	213	88	.	.	PUNCT
cana-3288	214	1	belief	belief	NOUN
cana-3288	214	2	propagation	propagation	NOUN
cana-3288	214	3	algorithm	algorithm	NOUN
cana-3288	214	4	:	:	PUNCT
cana-3288	214	5	the	the	DET
cana-3288	214	6	algorithm	algorithm	NOUN
cana-3288	214	7	operates	operate	VERB
cana-3288	214	8	on	on	ADP
cana-3288	214	9	a	a	DET
cana-3288	214	10	bipartite	bipartite	ADJ
cana-3288	214	11	graph	graph	NOUN
cana-3288	214	12	representing	represent	VERB
cana-3288	214	13	the	the	DET
cana-3288	214	14	parity	parity	NOUN
cana-3288	214	15	check	check	NOUN
cana-3288	214	16	matrix	matrix	NOUN
cana-3288	214	17	,	,	PUNCT
cana-3288	214	18	where	where	SCONJ
cana-3288	214	19	one	one	NUM
cana-3288	214	20	set	set	NOUN
cana-3288	214	21	of	of	ADP
cana-3288	214	22	nodes	node	NOUN
cana-3288	214	23	corresponds	correspond	VERB
cana-3288	214	24	to	to	ADP
cana-3288	214	25	the	the	DET
cana-3288	214	26	codeword	codeword	NOUN
cana-3288	214	27	bits	bit	NOUN
cana-3288	214	28	(	(	PUNCT
cana-3288	214	29	columns	column	NOUN
cana-3288	214	30	of	of	ADP
cana-3288	214	31	hldpc	hldpc	NOUN
cana-3288	214	32	)	)	PUNCT
cana-3288	214	33	and	and	CCONJ
cana-3288	214	34	the	the	DET
cana-3288	214	35	other	other	ADJ
cana-3288	214	36	set	set	NOUN
cana-3288	214	37	corresponds	correspond	NOUN
cana-3288	214	38	to	to	ADP
cana-3288	214	39	parity	parity	NOUN
cana-3288	214	40	-	-	PUNCT
cana-3288	214	41	check	check	NOUN
cana-3288	214	42	equations	equation	NOUN
cana-3288	214	43	(	(	PUNCT
cana-3288	214	44	rows	row	NOUN
cana-3288	214	45	of	of	ADP
cana-3288	214	46	hldpc	hldpc	NOUN
cana-3288	214	47	)	)	PUNCT
cana-3288	214	48	.	.	PUNCT
cana-3288	215	1	messages	message	NOUN
cana-3288	215	2	are	be	AUX
cana-3288	215	3	passed	pass	VERB
cana-3288	215	4	between	between	ADP
cana-3288	215	5	the	the	DET
cana-3288	215	6	nodes	node	NOUN
cana-3288	215	7	iteratively	iteratively	ADV
cana-3288	215	8	to	to	PART
cana-3288	215	9	update	update	VERB
cana-3288	215	10	estimates	estimate	NOUN
cana-3288	215	11	of	of	ADP
cana-3288	215	12	the	the	DET
cana-3288	215	13	codeword	codeword	NOUN
cana-3288	215	14	bits	bit	NOUN
cana-3288	215	15	.	.	PUNCT
cana-3288	216	1	the	the	DET
cana-3288	216	2	algorithm	algorithm	NOUN
cana-3288	216	3	terminates	terminate	VERB
cana-3288	216	4	when	when	SCONJ
cana-3288	216	5	a	a	DET
cana-3288	216	6	valid	valid	ADJ
cana-3288	216	7	solution	solution	NOUN
cana-3288	216	8	to	to	ADP
cana-3288	216	9	all	all	DET
cana-3288	216	10	parity	parity	NOUN
cana-3288	216	11	-	-	PUNCT
cana-3288	216	12	check	check	NOUN
cana-3288	216	13	equations	equation	NOUN
cana-3288	216	14	is	be	AUX
cana-3288	216	15	found	find	VERB
cana-3288	216	16	,	,	PUNCT
cana-3288	216	17	corresponding	correspond	VERB
cana-3288	216	18	to	to	ADP
cana-3288	216	19	the	the	DET
cana-3288	216	20	recovery	recovery	NOUN
cana-3288	216	21	of	of	ADP
cana-3288	216	22	the	the	DET
cana-3288	216	23	error	error	NOUN
cana-3288	216	24	vector	vector	NOUN
cana-3288	216	25	e.	e.	PROPN
cana-3288	216	26	since	since	SCONJ
cana-3288	216	27	ldpc	ldpc	NOUN
cana-3288	216	28	decoding	decode	VERB
cana-3288	216	29	is	be	AUX
cana-3288	216	30	performed	perform	VERB
cana-3288	216	31	iteratively	iteratively	ADV
cana-3288	216	32	and	and	CCONJ
cana-3288	216	33	the	the	DET
cana-3288	216	34	number	number	NOUN
cana-3288	216	35	of	of	ADP
cana-3288	216	36	non	non	ADJ
cana-3288	216	37	-	-	ADJ
cana-3288	216	38	zero	zero	NUM
cana-3288	216	39	entries	entry	NOUN
cana-3288	216	40	in	in	ADP
cana-3288	216	41	hldpc	hldpc	NOUN
cana-3288	216	42	is	be	AUX
cana-3288	216	43	small	small	ADJ
cana-3288	216	44	,	,	PUNCT
cana-3288	216	45	the	the	DET
cana-3288	216	46	decryption	decryption	NOUN
cana-3288	216	47	process	process	NOUN
cana-3288	216	48	is	be	AUX
cana-3288	216	49	much	much	ADV
cana-3288	216	50	faster	fast	ADJ
cana-3288	216	51	than	than	ADP
cana-3288	216	52	in	in	ADP
cana-3288	216	53	traditional	traditional	ADJ
cana-3288	216	54	systems	system	NOUN
cana-3288	216	55	with	with	ADP
cana-3288	216	56	dense	dense	ADJ
cana-3288	216	57	matrices	matrix	NOUN
cana-3288	216	58	.	.	PUNCT
cana-3288	217	1	this	this	DET
cana-3288	217	2	efficiency	efficiency	NOUN
cana-3288	217	3	makes	make	VERB
cana-3288	217	4	the	the	DET
cana-3288	217	5	ldpc	ldpc	NOUN
cana-3288	217	6	-	-	PUNCT
cana-3288	217	7	enhanced	enhance	VERB
cana-3288	217	8	niederreiter	niederreiter	NOUN
cana-3288	217	9	system	system	NOUN
cana-3288	217	10	more	more	ADV
cana-3288	217	11	practical	practical	ADJ
cana-3288	217	12	for	for	ADP
cana-3288	217	13	low	low	ADJ
cana-3288	217	14	-	-	PUNCT
cana-3288	217	15	power	power	NOUN
cana-3288	217	16	devices	device	NOUN
cana-3288	217	17	and	and	CCONJ
cana-3288	217	18	real	real	ADJ
cana-3288	217	19	-	-	PUNCT
cana-3288	217	20	time	time	NOUN
cana-3288	217	21	applications	application	NOUN
cana-3288	217	22	like	like	ADP
cana-3288	217	23	iot	iot	NOUN
cana-3288	217	24	.	.	PROPN
cana-3288	217	25	2.4.2	2.4.2	NUM
cana-3288	217	26	key	key	ADJ
cana-3288	217	27	size	size	NOUN
cana-3288	217	28	reduction	reduction	NOUN
cana-3288	217	29	current	current	ADJ
cana-3288	217	30	challenges	challenge	NOUN
cana-3288	217	31	with	with	ADP
cana-3288	217	32	key	key	ADJ
cana-3288	217	33	size	size	NOUN
cana-3288	217	34	the	the	DET
cana-3288	217	35	traditional	traditional	ADJ
cana-3288	217	36	niederreiter	niederreiter	NOUN
cana-3288	217	37	cryptosystem	cryptosystem	NOUN
cana-3288	217	38	faces	face	VERB
cana-3288	217	39	challenges	challenge	NOUN
cana-3288	217	40	related	relate	VERB
cana-3288	217	41	to	to	ADP
cana-3288	217	42	its	its	PRON
cana-3288	217	43	large	large	ADJ
cana-3288	217	44	key	key	ADJ
cana-3288	217	45	sizes	size	NOUN
cana-3288	217	46	,	,	PUNCT
cana-3288	217	47	which	which	PRON
cana-3288	217	48	stem	stem	VERB
cana-3288	217	49	from	from	ADP
cana-3288	217	50	the	the	DET
cana-3288	217	51	reliance	reliance	NOUN
cana-3288	217	52	on	on	ADP
cana-3288	217	53	dense	dense	ADJ
cana-3288	217	54	,	,	PUNCT
cana-3288	217	55	complex	complex	ADJ
cana-3288	217	56	parity	parity	NOUN
cana-3288	217	57	-	-	PUNCT
cana-3288	217	58	check	check	NOUN
cana-3288	217	59	matrices	matrix	NOUN
cana-3288	217	60	used	use	VERB
cana-3288	217	61	in	in	ADP
cana-3288	217	62	code	code	NOUN
cana-3288	217	63	-	-	PUNCT
cana-3288	217	64	based	base	VERB
cana-3288	217	65	encryption	encryption	NOUN
cana-3288	217	66	.	.	PUNCT
cana-3288	218	1	in	in	ADP
cana-3288	218	2	practice	practice	NOUN
cana-3288	218	3	,	,	PUNCT
cana-3288	218	4	these	these	DET
cana-3288	218	5	keys	key	NOUN
cana-3288	218	6	can	can	AUX
cana-3288	218	7	range	range	VERB
cana-3288	218	8	from	from	ADP
cana-3288	218	9	tens	ten	NOUN
cana-3288	218	10	of	of	ADP
cana-3288	218	11	kilobytes	kilobyte	NOUN
cana-3288	218	12	to	to	ADP
cana-3288	218	13	several	several	ADJ
cana-3288	218	14	megabytes	megabyte	NOUN
cana-3288	218	15	,	,	PUNCT
cana-3288	218	16	depending	depend	VERB
cana-3288	218	17	on	on	ADP
cana-3288	218	18	the	the	DET
cana-3288	218	19	security	security	NOUN
cana-3288	218	20	level	level	NOUN
cana-3288	218	21	and	and	CCONJ
cana-3288	218	22	the	the	DET
cana-3288	218	23	type	type	NOUN
cana-3288	218	24	of	of	ADP
cana-3288	218	25	error	error	NOUN
cana-3288	218	26	-	-	PUNCT
cana-3288	218	27	correcting	correct	VERB
cana-3288	218	28	code	code	NOUN
cana-3288	218	29	applied	apply	VERB
cana-3288	218	30	.	.	PUNCT
cana-3288	219	1	the	the	DET
cana-3288	219	2	main	main	ADJ
cana-3288	219	3	issue	issue	NOUN
cana-3288	219	4	with	with	ADP
cana-3288	219	5	large	large	ADJ
cana-3288	219	6	key	key	ADJ
cana-3288	219	7	sizes	size	NOUN
cana-3288	219	8	is	be	AUX
cana-3288	219	9	their	their	PRON
cana-3288	219	10	infeasibility	infeasibility	NOUN
cana-3288	219	11	for	for	ADP
cana-3288	219	12	resource	resource	NOUN
cana-3288	219	13	-	-	PUNCT
cana-3288	219	14	constrained	constrain	VERB
cana-3288	219	15	environments	environment	NOUN
cana-3288	219	16	like	like	ADP
cana-3288	219	17	iot	iot	PROPN
cana-3288	219	18	devices	device	NOUN
cana-3288	219	19	and	and	CCONJ
cana-3288	219	20	mobile	mobile	NOUN
cana-3288	219	21	applications[8	applications[8	PROPN
cana-3288	219	22	,	,	PUNCT
cana-3288	219	23	13	13	NUM
cana-3288	219	24	,	,	PUNCT
cana-3288	219	25	5	5	NUM
cana-3288	219	26	]	]	PUNCT
cana-3288	219	27	.	.	PUNCT
cana-3288	220	1	these	these	DET
cana-3288	220	2	environments	environment	NOUN
cana-3288	220	3	typically	typically	ADV
cana-3288	220	4	have	have	VERB
cana-3288	220	5	limited	limit	VERB
cana-3288	220	6	memory	memory	NOUN
cana-3288	220	7	,	,	PUNCT
cana-3288	220	8	storage	storage	NOUN
cana-3288	220	9	,	,	PUNCT
cana-3288	220	10	and	and	CCONJ
cana-3288	220	11	computational	computational	ADJ
cana-3288	220	12	power	power	NOUN
cana-3288	220	13	,	,	PUNCT
cana-3288	220	14	making	make	VERB
cana-3288	220	15	the	the	DET
cana-3288	220	16	large	large	ADJ
cana-3288	220	17	key	key	ADJ
cana-3288	220	18	sizes	size	NOUN
cana-3288	220	19	a	a	DET
cana-3288	220	20	considerable	considerable	ADJ
cana-3288	220	21	obstacle	obstacle	NOUN
cana-3288	220	22	.	.	PUNCT
cana-3288	221	1	additionally	additionally	ADV
cana-3288	221	2	,	,	PUNCT
cana-3288	221	3	transmitting	transmit	VERB
cana-3288	221	4	large	large	ADJ
cana-3288	221	5	keys	key	NOUN
cana-3288	221	6	over	over	ADP
cana-3288	221	7	networks	network	NOUN
cana-3288	221	8	can	can	AUX
cana-3288	221	9	lead	lead	VERB
cana-3288	221	10	to	to	ADP
cana-3288	221	11	higher	high	ADJ
cana-3288	221	12	bandwidth	bandwidth	ADJ
cana-3288	221	13	consumption	consumption	NOUN
cana-3288	221	14	and	and	CCONJ
cana-3288	221	15	increased	increase	VERB
cana-3288	221	16	latency	latency	NOUN
cana-3288	221	17	,	,	PUNCT
cana-3288	221	18	affecting	affect	VERB
cana-3288	221	19	overall	overall	ADJ
cana-3288	221	20	system	system	NOUN
cana-3288	221	21	efficiency	efficiency	NOUN
cana-3288	221	22	.	.	PUNCT
cana-3288	222	1	in	in	ADP
cana-3288	222	2	a	a	DET
cana-3288	222	3	post	post	ADJ
cana-3288	222	4	-	-	ADJ
cana-3288	222	5	quantum	quantum	ADJ
cana-3288	222	6	world	world	NOUN
cana-3288	222	7	,	,	PUNCT
cana-3288	222	8	reducing	reduce	VERB
cana-3288	222	9	key	key	ADJ
cana-3288	222	10	sizes	size	NOUN
cana-3288	222	11	while	while	SCONJ
cana-3288	222	12	maintaining	maintain	VERB
cana-3288	222	13	security	security	NOUN
cana-3288	222	14	is	be	AUX
cana-3288	222	15	essential	essential	ADJ
cana-3288	222	16	to	to	PART
cana-3288	222	17	make	make	VERB
cana-3288	222	18	code	code	NOUN
cana-3288	222	19	based	base	VERB
cana-3288	222	20	cryptosystems	cryptosystem	NOUN
cana-3288	222	21	like	like	ADP
cana-3288	222	22	the	the	DET
cana-3288	222	23	niederreiter	niederreiter	NOUN
cana-3288	222	24	practical	practical	ADJ
cana-3288	222	25	for	for	ADP
cana-3288	222	26	widespread	widespread	ADJ
cana-3288	222	27	use	use	NOUN
cana-3288	222	28	in	in	ADP
cana-3288	222	29	both	both	CCONJ
cana-3288	222	30	constrained	constrain	VERB
cana-3288	222	31	and	and	CCONJ
cana-3288	222	32	large	large	ADJ
cana-3288	222	33	scale	scale	NOUN
cana-3288	222	34	applications	application	NOUN
cana-3288	222	35	.	.	PUNCT
cana-3288	223	1	key	key	ADJ
cana-3288	223	2	size	size	NOUN
cana-3288	223	3	reduction	reduction	NOUN
cana-3288	223	4	using	use	VERB
cana-3288	223	5	ldpc	ldpc	NOUN
cana-3288	223	6	codes	code	NOUN
cana-3288	223	7	to	to	PART
cana-3288	223	8	address	address	VERB
cana-3288	223	9	the	the	DET
cana-3288	223	10	key	key	ADJ
cana-3288	223	11	size	size	NOUN
cana-3288	223	12	challenges	challenge	NOUN
cana-3288	223	13	in	in	ADP
cana-3288	223	14	the	the	DET
cana-3288	223	15	traditional	traditional	ADJ
cana-3288	223	16	niederreiter	niederreiter	NOUN
cana-3288	223	17	cryptosystem	cryptosystem	NOUN
cana-3288	223	18	,	,	PUNCT
cana-3288	223	19	low	low	ADJ
cana-3288	223	20	-	-	PUNCT
cana-3288	223	21	density	density	NOUN
cana-3288	223	22	parity	parity	NOUN
cana-3288	223	23	-	-	PUNCT
cana-3288	223	24	check	check	NOUN
cana-3288	223	25	(	(	PUNCT
cana-3288	223	26	ldpc	ldpc	NOUN
cana-3288	223	27	)	)	PUNCT
cana-3288	223	28	codes	code	NOUN
cana-3288	223	29	offer	offer	VERB
cana-3288	223	30	a	a	DET
cana-3288	223	31	promising	promising	ADJ
cana-3288	223	32	solution	solution	NOUN
cana-3288	223	33	.	.	PUNCT
cana-3288	224	1	ldpc	ldpc	NOUN
cana-3288	224	2	codes	code	NOUN
cana-3288	224	3	are	be	AUX
cana-3288	224	4	a	a	DET
cana-3288	224	5	type	type	NOUN
cana-3288	224	6	of	of	ADP
cana-3288	224	7	linear	linear	NOUN
cana-3288	224	8	error	error	NOUN
cana-3288	224	9	-	-	PUNCT
cana-3288	224	10	correcting	correct	VERB
cana-3288	224	11	code	code	NOUN
cana-3288	224	12	characterized	characterize	VERB
cana-3288	224	13	by	by	ADP
cana-3288	224	14	a	a	DET
cana-3288	224	15	sparse	sparse	ADJ
cana-3288	224	16	parity	parity	NOUN
cana-3288	224	17	-	-	PUNCT
cana-3288	224	18	check	check	NOUN
cana-3288	224	19	matrix	matrix	NOUN
cana-3288	224	20	,	,	PUNCT
cana-3288	224	21	communications	communication	NOUN
cana-3288	224	22	on	on	ADP
cana-3288	224	23	applied	apply	VERB
cana-3288	224	24	nonlinear	nonlinear	ADJ
cana-3288	224	25	analysis	analysis	NOUN
cana-3288	224	26	issn	issn	NOUN
cana-3288	224	27	:	:	PUNCT
cana-3288	224	28	1074	1074	NUM
cana-3288	224	29	-	-	PUNCT
cana-3288	224	30	133x	133x	NUM
cana-3288	224	31	vol	vol	NOUN
cana-3288	224	32	32	32	NUM
cana-3288	224	33	no	no	NOUN
cana-3288	224	34	.	.	PUNCT
cana-3288	225	1	6s	6s	NUM
cana-3288	225	2	(	(	PUNCT
cana-3288	225	3	2025	2025	NUM
cana-3288	225	4	)	)	PUNCT
cana-3288	225	5	227	227	NUM
cana-3288	225	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3288	225	7	where	where	SCONJ
cana-3288	225	8	the	the	DET
cana-3288	225	9	number	number	NOUN
cana-3288	225	10	of	of	ADP
cana-3288	225	11	non	non	ADJ
cana-3288	225	12	-	-	ADJ
cana-3288	225	13	zero	zero	NUM
cana-3288	225	14	entries	entry	NOUN
cana-3288	225	15	is	be	AUX
cana-3288	225	16	significantly	significantly	ADV
cana-3288	225	17	lower	low	ADJ
cana-3288	225	18	than	than	ADP
cana-3288	225	19	that	that	PRON
cana-3288	225	20	in	in	ADP
cana-3288	225	21	dense	dense	ADJ
cana-3288	225	22	matrices	matrix	NOUN
cana-3288	225	23	.	.	PUNCT
cana-3288	226	1	this	this	DET
cana-3288	226	2	sparse	sparse	ADJ
cana-3288	226	3	structure	structure	NOUN
cana-3288	226	4	enables	enable	VERB
cana-3288	226	5	several	several	ADJ
cana-3288	226	6	key	key	ADJ
cana-3288	226	7	improvements	improvement	NOUN
cana-3288	226	8	:	:	PUNCT
cana-3288	226	9	1	1	X
cana-3288	226	10	.	.	PUNCT
cana-3288	226	11	reduced	reduce	VERB
cana-3288	226	12	matrix	matrix	NOUN
cana-3288	226	13	size	size	NOUN
cana-3288	226	14	:	:	PUNCT
cana-3288	226	15	because	because	SCONJ
cana-3288	226	16	ldpc	ldpc	NOUN
cana-3288	226	17	matrices	matrix	NOUN
cana-3288	226	18	are	be	AUX
cana-3288	226	19	sparse	sparse	ADJ
cana-3288	226	20	,	,	PUNCT
cana-3288	226	21	they	they	PRON
cana-3288	226	22	require	require	VERB
cana-3288	226	23	fewer	few	ADJ
cana-3288	226	24	bits	bit	NOUN
cana-3288	226	25	to	to	ADP
cana-3288	226	26	store	store	NOUN
cana-3288	226	27	,	,	PUNCT
cana-3288	226	28	leading	lead	VERB
cana-3288	226	29	to	to	ADP
cana-3288	226	30	substantial	substantial	ADJ
cana-3288	226	31	reductions	reduction	NOUN
cana-3288	226	32	in	in	ADP
cana-3288	226	33	key	key	ADJ
cana-3288	226	34	size	size	NOUN
cana-3288	226	35	without	without	ADP
cana-3288	226	36	compromising	compromise	VERB
cana-3288	226	37	error	error	NOUN
cana-3288	226	38	-	-	PUNCT
cana-3288	226	39	correction	correction	NOUN
cana-3288	226	40	performance	performance	NOUN
cana-3288	226	41	.	.	PUNCT
cana-3288	227	1	2	2	X
cana-3288	227	2	.	.	X
cana-3288	227	3	efficient	efficient	ADJ
cana-3288	227	4	representation	representation	NOUN
cana-3288	227	5	:	:	PUNCT
cana-3288	227	6	the	the	DET
cana-3288	227	7	storage	storage	NOUN
cana-3288	227	8	requirements	requirement	NOUN
cana-3288	227	9	for	for	ADP
cana-3288	227	10	ldpc	ldpc	NOUN
cana-3288	227	11	matrices	matrix	NOUN
cana-3288	227	12	scale	scale	VERB
cana-3288	227	13	more	more	ADV
cana-3288	227	14	efficiently	efficiently	ADV
cana-3288	227	15	,	,	PUNCT
cana-3288	227	16	allowing	allow	VERB
cana-3288	227	17	for	for	ADP
cana-3288	227	18	a	a	DET
cana-3288	227	19	more	more	ADV
cana-3288	227	20	compact	compact	ADJ
cana-3288	227	21	representation	representation	NOUN
cana-3288	227	22	of	of	ADP
cana-3288	227	23	the	the	DET
cana-3288	227	24	public	public	ADJ
cana-3288	227	25	key	key	NOUN
cana-3288	227	26	.	.	PUNCT
cana-3288	228	1	3	3	X
cana-3288	228	2	.	.	X
cana-3288	228	3	lower	low	ADJ
cana-3288	228	4	complexity	complexity	NOUN
cana-3288	228	5	in	in	ADP
cana-3288	228	6	operations	operation	NOUN
cana-3288	228	7	:	:	PUNCT
cana-3288	228	8	the	the	DET
cana-3288	228	9	sparse	sparse	ADJ
cana-3288	228	10	nature	nature	NOUN
cana-3288	228	11	of	of	ADP
cana-3288	228	12	ldpc	ldpc	NOUN
cana-3288	228	13	matrices	matrix	NOUN
cana-3288	228	14	reduces	reduce	VERB
cana-3288	228	15	the	the	DET
cana-3288	228	16	computational	computational	ADJ
cana-3288	228	17	overhead	overhead	NOUN
cana-3288	228	18	,	,	PUNCT
cana-3288	228	19	leading	lead	VERB
cana-3288	228	20	to	to	ADP
cana-3288	228	21	faster	fast	ADJ
cana-3288	228	22	operations	operation	NOUN
cana-3288	228	23	for	for	ADP
cana-3288	228	24	key	key	ADJ
cana-3288	228	25	generation	generation	NOUN
cana-3288	228	26	,	,	PUNCT
cana-3288	228	27	encryption	encryption	NOUN
cana-3288	228	28	,	,	PUNCT
cana-3288	228	29	and	and	CCONJ
cana-3288	228	30	decryption	decryption	NOUN
cana-3288	228	31	,	,	PUNCT
cana-3288	228	32	which	which	PRON
cana-3288	228	33	further	far	ADV
cana-3288	228	34	enhances	enhance	VERB
cana-3288	228	35	performance	performance	NOUN
cana-3288	228	36	.	.	PUNCT
cana-3288	229	1	incorporating	incorporate	VERB
cana-3288	229	2	ldpc	ldpc	NOUN
cana-3288	229	3	codes	code	NOUN
cana-3288	229	4	in	in	ADP
cana-3288	229	5	the	the	DET
cana-3288	229	6	niederreiter	niederreiter	NOUN
cana-3288	229	7	cryptosystem	cryptosystem	NOUN
cana-3288	229	8	thus	thus	ADV
cana-3288	229	9	achieves	achieve	VERB
cana-3288	229	10	two	two	NUM
cana-3288	229	11	primary	primary	ADJ
cana-3288	229	12	goals	goal	NOUN
cana-3288	229	13	:	:	PUNCT
cana-3288	229	14	reducing	reduce	VERB
cana-3288	229	15	key	key	ADJ
cana-3288	229	16	sizes	size	NOUN
cana-3288	229	17	and	and	CCONJ
cana-3288	229	18	improving	improve	VERB
cana-3288	229	19	system	system	NOUN
cana-3288	229	20	efficiency	efficiency	NOUN
cana-3288	229	21	.	.	PUNCT
cana-3288	230	1	this	this	PRON
cana-3288	230	2	makes	make	VERB
cana-3288	230	3	it	it	PRON
cana-3288	230	4	feasible	feasible	ADJ
cana-3288	230	5	to	to	PART
cana-3288	230	6	implement	implement	VERB
cana-3288	230	7	the	the	DET
cana-3288	230	8	cryptosystem	cryptosystem	NOUN
cana-3288	230	9	in	in	ADP
cana-3288	230	10	environments	environment	NOUN
cana-3288	230	11	where	where	SCONJ
cana-3288	230	12	traditional	traditional	ADJ
cana-3288	230	13	code	code	NOUN
cana-3288	230	14	-	-	PUNCT
cana-3288	230	15	based	base	VERB
cana-3288	230	16	cryptosystems	cryptosystem	NOUN
cana-3288	230	17	are	be	AUX
cana-3288	230	18	too	too	ADV
cana-3288	230	19	resource	resource	NOUN
cana-3288	230	20	-	-	PUNCT
cana-3288	230	21	intensive	intensive	ADJ
cana-3288	230	22	.	.	PUNCT
cana-3288	231	1	performance	performance	NOUN
cana-3288	231	2	evaluation	evaluation	NOUN
cana-3288	231	3	:	:	PUNCT
cana-3288	231	4	the	the	DET
cana-3288	231	5	performance	performance	NOUN
cana-3288	231	6	of	of	ADP
cana-3288	231	7	the	the	DET
cana-3288	231	8	ldpc	ldpc	NOUN
cana-3288	231	9	-	-	PUNCT
cana-3288	231	10	enhanced	enhance	VERB
cana-3288	231	11	niederreiter	niederreiter	NOUN
cana-3288	231	12	cryptosystem	cryptosystem	NOUN
cana-3288	231	13	can	can	AUX
cana-3288	231	14	be	be	AUX
cana-3288	231	15	evaluated	evaluate	VERB
cana-3288	231	16	by	by	ADP
cana-3288	231	17	comparing	compare	VERB
cana-3288	231	18	key	key	ADJ
cana-3288	231	19	sizes	size	NOUN
cana-3288	231	20	with	with	ADP
cana-3288	231	21	those	those	PRON
cana-3288	231	22	of	of	ADP
cana-3288	231	23	the	the	DET
cana-3288	231	24	standard	standard	ADJ
cana-3288	231	25	niederreiter	niederreiter	NOUN
cana-3288	231	26	system	system	NOUN
cana-3288	231	27	.	.	PUNCT
cana-3288	232	1	below	below	ADP
cana-3288	232	2	[	[	X
cana-3288	232	3	tab:1	tab:1	NOUN
cana-3288	232	4	]	]	X
cana-3288	232	5	is	be	AUX
cana-3288	232	6	a	a	DET
cana-3288	232	7	theoretical	theoretical	ADJ
cana-3288	232	8	and	and	CCONJ
cana-3288	232	9	experimental	experimental	ADJ
cana-3288	232	10	comparison	comparison	NOUN
cana-3288	232	11	:	:	PUNCT
cana-3288	232	12	table:1	table:1	NOUN
cana-3288	232	13	1	1	NUM
cana-3288	232	14	.	.	PUNCT
cana-3288	232	15	theoretical	theoretical	ADJ
cana-3288	232	16	calculations	calculation	NOUN
cana-3288	232	17	:	:	PUNCT
cana-3288	232	18	in	in	ADP
cana-3288	232	19	the	the	DET
cana-3288	232	20	standard	standard	ADJ
cana-3288	232	21	niederreiter	niederreiter	PROPN
cana-3288	232	22	cryptosystem	cryptosystem	NOUN
cana-3288	232	23	,	,	PUNCT
cana-3288	232	24	the	the	DET
cana-3288	232	25	size	size	NOUN
cana-3288	232	26	of	of	ADP
cana-3288	232	27	the	the	DET
cana-3288	232	28	public	public	ADJ
cana-3288	232	29	key	key	NOUN
cana-3288	232	30	is	be	AUX
cana-3288	232	31	proportional	proportional	ADJ
cana-3288	232	32	to	to	ADP
cana-3288	232	33	the	the	DET
cana-3288	232	34	number	number	NOUN
cana-3288	232	35	of	of	ADP
cana-3288	232	36	non	non	ADJ
cana-3288	232	37	-	-	ADJ
cana-3288	232	38	zero	zero	NUM
cana-3288	232	39	entries	entry	NOUN
cana-3288	232	40	in	in	ADP
cana-3288	232	41	the	the	DET
cana-3288	232	42	parity	parity	NOUN
cana-3288	232	43	-	-	PUNCT
cana-3288	232	44	check	check	NOUN
cana-3288	232	45	matrix	matrix	NOUN
cana-3288	232	46	.	.	PUNCT
cana-3288	233	1	for	for	ADP
cana-3288	233	2	a	a	DET
cana-3288	233	3	dense	dense	ADJ
cana-3288	233	4	matrix	matrix	NOUN
cana-3288	233	5	,	,	PUNCT
cana-3288	233	6	this	this	PRON
cana-3288	233	7	can	can	AUX
cana-3288	233	8	be	be	AUX
cana-3288	233	9	very	very	ADV
cana-3288	233	10	large	large	ADJ
cana-3288	233	11	.	.	PUNCT
cana-3288	234	1	ldpc	ldpc	NOUN
cana-3288	234	2	codes	code	NOUN
cana-3288	234	3	,	,	PUNCT
cana-3288	234	4	however	however	ADV
cana-3288	234	5	,	,	PUNCT
cana-3288	234	6	contain	contain	VERB
cana-3288	234	7	significantly	significantly	ADV
cana-3288	234	8	fewer	few	ADJ
cana-3288	234	9	non	non	ADJ
cana-3288	234	10	-	-	ADJ
cana-3288	234	11	zero	zero	NUM
cana-3288	234	12	entries	entry	NOUN
cana-3288	234	13	,	,	PUNCT
cana-3288	234	14	allowing	allow	VERB
cana-3288	234	15	for	for	ADP
cana-3288	234	16	up	up	ADP
cana-3288	234	17	to	to	PART
cana-3288	234	18	90	90	NUM
cana-3288	234	19	%	%	NOUN
cana-3288	234	20	reduction	reduction	NOUN
cana-3288	234	21	in	in	ADP
cana-3288	234	22	key	key	ADJ
cana-3288	234	23	size	size	NOUN
cana-3288	234	24	.	.	PUNCT
cana-3288	235	1	for	for	ADP
cana-3288	235	2	example	example	NOUN
cana-3288	235	3	,	,	PUNCT
cana-3288	235	4	where	where	SCONJ
cana-3288	235	5	a	a	DET
cana-3288	235	6	traditional	traditional	ADJ
cana-3288	235	7	parity	parity	NOUN
cana-3288	235	8	-	-	PUNCT
cana-3288	235	9	check	check	NOUN
cana-3288	235	10	cation	cation	NOUN
cana-3288	235	11	.	.	PUNCT
cana-3288	236	1	3	3	X
cana-3288	236	2	.	.	X
cana-3288	236	3	resource	resource	NOUN
cana-3288	236	4	consumption	consumption	NOUN
cana-3288	236	5	:	:	PUNCT
cana-3288	236	6	due	due	ADP
cana-3288	236	7	to	to	ADP
cana-3288	236	8	high	high	ADJ
cana-3288	236	9	memory	memory	NOUN
cana-3288	236	10	usage	usage	NOUN
cana-3288	236	11	and	and	CCONJ
cana-3288	236	12	computational	computational	ADJ
cana-3288	236	13	demands	demand	NOUN
cana-3288	236	14	,	,	PUNCT
cana-3288	236	15	the	the	DET
cana-3288	236	16	traditional	traditional	ADJ
cana-3288	236	17	niederreiter	niederreiter	NOUN
cana-3288	236	18	system	system	NOUN
cana-3288	236	19	is	be	AUX
cana-3288	236	20	not	not	PART
cana-3288	236	21	easily	easily	ADV
cana-3288	236	22	scalable	scalable	ADJ
cana-3288	236	23	or	or	CCONJ
cana-3288	236	24	suitable	suitable	ADJ
cana-3288	236	25	for	for	ADP
cana-3288	236	26	devices	device	NOUN
cana-3288	236	27	with	with	ADP
cana-3288	236	28	limited	limited	ADJ
cana-3288	236	29	storage	storage	NOUN
cana-3288	236	30	and	and	CCONJ
cana-3288	236	31	processing	processing	NOUN
cana-3288	236	32	capacities	capacity	NOUN
cana-3288	236	33	.	.	PUNCT
cana-3288	237	1	these	these	DET
cana-3288	237	2	challenges	challenge	NOUN
cana-3288	237	3	motivate	motivate	VERB
cana-3288	237	4	the	the	DET
cana-3288	237	5	need	need	NOUN
cana-3288	237	6	for	for	ADP
cana-3288	237	7	a	a	DET
cana-3288	237	8	more	more	ADV
cana-3288	237	9	efficient	efficient	ADJ
cana-3288	237	10	decoding	decoding	NOUN
cana-3288	237	11	process	process	NOUN
cana-3288	237	12	that	that	PRON
cana-3288	237	13	can	can	AUX
cana-3288	237	14	make	make	VERB
cana-3288	237	15	the	the	DET
cana-3288	237	16	niederreiter	niederreiter	NOUN
cana-3288	237	17	cryptosystem	cryptosystem	NOUN
cana-3288	237	18	viable	viable	ADJ
cana-3288	237	19	in	in	ADP
cana-3288	237	20	a	a	DET
cana-3288	237	21	wider	wide	ADJ
cana-3288	237	22	range	range	NOUN
cana-3288	237	23	of	of	ADP
cana-3288	237	24	applications	application	NOUN
cana-3288	237	25	,	,	PUNCT
cana-3288	237	26	particularly	particularly	ADV
cana-3288	237	27	where	where	SCONJ
cana-3288	237	28	quantum	quantum	NOUN
cana-3288	237	29	resistance	resistance	NOUN
cana-3288	237	30	is	be	AUX
cana-3288	237	31	essential	essential	ADJ
cana-3288	237	32	.	.	PUNCT
cana-3288	238	1	decoding	decode	VERB
cana-3288	238	2	process	process	NOUN
cana-3288	238	3	with	with	ADP
cana-3288	238	4	ldpc	ldpc	NOUN
cana-3288	238	5	incorporating	incorporate	VERB
cana-3288	238	6	low	low	ADJ
cana-3288	238	7	-	-	PUNCT
cana-3288	238	8	density	density	NOUN
cana-3288	238	9	parity	parity	NOUN
cana-3288	238	10	-	-	PUNCT
cana-3288	238	11	check	check	NOUN
cana-3288	238	12	(	(	PUNCT
cana-3288	238	13	ldpc	ldpc	NOUN
cana-3288	238	14	)	)	PUNCT
cana-3288	238	15	codes	code	NOUN
cana-3288	238	16	into	into	ADP
cana-3288	238	17	the	the	DET
cana-3288	238	18	niederreiter	niederreiter	NOUN
cana-3288	238	19	system	system	NOUN
cana-3288	238	20	introduces	introduce	VERB
cana-3288	238	21	a	a	DET
cana-3288	238	22	more	more	ADV
cana-3288	238	23	efficient	efficient	ADJ
cana-3288	238	24	decoding	decoding	NOUN
cana-3288	238	25	process	process	NOUN
cana-3288	238	26	due	due	ADP
cana-3288	238	27	to	to	ADP
cana-3288	238	28	the	the	DET
cana-3288	238	29	sparse	sparse	ADJ
cana-3288	238	30	nature	nature	NOUN
cana-3288	238	31	of	of	ADP
cana-3288	238	32	ldpc	ldpc	NOUN
cana-3288	238	33	matrices	matrix	NOUN
cana-3288	238	34	.	.	PUNCT
cana-3288	239	1	ldpc	ldpc	NOUN
cana-3288	239	2	codes	code	NOUN
cana-3288	239	3	are	be	AUX
cana-3288	239	4	specifically	specifically	ADV
cana-3288	239	5	designed	design	VERB
cana-3288	239	6	for	for	ADP
cana-3288	239	7	efficient	efficient	ADJ
cana-3288	239	8	decoding	decode	VERB
cana-3288	239	9	with	with	ADP
cana-3288	239	10	algorithms	algorithm	NOUN
cana-3288	239	11	such	such	ADJ
cana-3288	239	12	as	as	ADP
cana-3288	239	13	the	the	DET
cana-3288	239	14	belief	belief	NOUN
cana-3288	239	15	propagation	propagation	NOUN
cana-3288	239	16	(	(	PUNCT
cana-3288	239	17	bp	bp	PROPN
cana-3288	239	18	)	)	PUNCT
cana-3288	239	19	or	or	CCONJ
cana-3288	239	20	sum	sum	NOUN
cana-3288	239	21	-	-	PUNCT
cana-3288	239	22	product	product	NOUN
cana-3288	239	23	algorithm	algorithm	NOUN
cana-3288	239	24	(	(	PUNCT
cana-3288	239	25	spa	spa	NOUN
cana-3288	239	26	)	)	PUNCT
cana-3288	239	27	.	.	PUNCT
cana-3288	240	1	here	here	ADV
cana-3288	240	2	’s	’	VERB
cana-3288	240	3	how	how	SCONJ
cana-3288	240	4	the	the	DET
cana-3288	240	5	ldpc	ldpc	NOUN
cana-3288	240	6	-	-	PUNCT
cana-3288	240	7	based	base	VERB
cana-3288	240	8	decoding	decoding	NOUN
cana-3288	240	9	process	process	NOUN
cana-3288	240	10	enhances	enhance	VERB
cana-3288	240	11	the	the	DET
cana-3288	240	12	niederreiter	niederreiter	ADJ
cana-3288	240	13	system	system	NOUN
cana-3288	240	14	:	:	PUNCT
cana-3288	240	15	1	1	X
cana-3288	240	16	.	.	X
cana-3288	240	17	belief	belief	NOUN
cana-3288	240	18	propagation	propagation	NOUN
cana-3288	240	19	(	(	PUNCT
cana-3288	240	20	bp	bp	PROPN
cana-3288	240	21	)	)	PUNCT
cana-3288	240	22	decoding	decode	VERB
cana-3288	240	23	:	:	PUNCT
cana-3288	240	24	this	this	DET
cana-3288	240	25	algorithm	algorithm	NOUN
cana-3288	240	26	leverages	leverage	VERB
cana-3288	240	27	the	the	DET
cana-3288	240	28	sparse	sparse	ADJ
cana-3288	240	29	structure	structure	NOUN
cana-3288	240	30	of	of	ADP
cana-3288	240	31	ldpc	ldpc	NOUN
cana-3288	240	32	codes	code	NOUN
cana-3288	240	33	,	,	PUNCT
cana-3288	240	34	iteratively	iteratively	ADV
cana-3288	240	35	processing	process	VERB
cana-3288	240	36	each	each	DET
cana-3288	240	37	bit	bit	NOUN
cana-3288	240	38	in	in	ADP
cana-3288	240	39	the	the	DET
cana-3288	240	40	matrix	matrix	NOUN
cana-3288	240	41	and	and	CCONJ
cana-3288	240	42	calculating	calculate	VERB
cana-3288	240	43	the	the	DET
cana-3288	240	44	probability	probability	NOUN
cana-3288	240	45	of	of	ADP
cana-3288	240	46	error	error	NOUN
cana-3288	240	47	correction	correction	NOUN
cana-3288	240	48	.	.	PUNCT
cana-3288	241	1	it	it	PRON
cana-3288	241	2	communications	communication	VERB
cana-3288	241	3	on	on	ADP
cana-3288	241	4	applied	apply	VERB
cana-3288	241	5	nonlinear	nonlinear	ADJ
cana-3288	241	6	analysis	analysis	NOUN
cana-3288	241	7	issn	issn	NOUN
cana-3288	241	8	:	:	PUNCT
cana-3288	241	9	1074	1074	NUM
cana-3288	241	10	-	-	PUNCT
cana-3288	241	11	133x	133x	NUM
cana-3288	241	12	vol	vol	NOUN
cana-3288	241	13	32	32	NUM
cana-3288	241	14	no	no	NOUN
cana-3288	241	15	.	.	PUNCT
cana-3288	242	1	6s	6s	NUM
cana-3288	242	2	(	(	PUNCT
cana-3288	242	3	2025	2025	NUM
cana-3288	242	4	)	)	PUNCT
cana-3288	242	5	228	228	NUM
cana-3288	242	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3288	242	7	involves	involve	VERB
cana-3288	242	8	passing	pass	VERB
cana-3288	242	9	messages	message	NOUN
cana-3288	242	10	along	along	ADP
cana-3288	242	11	the	the	DET
cana-3288	242	12	graph	graph	NOUN
cana-3288	242	13	structure	structure	NOUN
cana-3288	242	14	of	of	ADP
cana-3288	242	15	the	the	DET
cana-3288	242	16	ldpc	ldpc	NOUN
cana-3288	242	17	matrix	matrix	NOUN
cana-3288	242	18	,	,	PUNCT
cana-3288	242	19	updating	update	VERB
cana-3288	242	20	likelihoods	likelihood	NOUN
cana-3288	242	21	for	for	ADP
cana-3288	242	22	each	each	DET
cana-3288	242	23	bit	bit	NOUN
cana-3288	242	24	until	until	ADP
cana-3288	242	25	convergence	convergence	NOUN
cana-3288	242	26	.	.	PUNCT
cana-3288	243	1	2	2	X
cana-3288	243	2	.	.	NUM
cana-3288	243	3	reduced	reduce	VERB
cana-3288	243	4	time	time	NOUN
cana-3288	243	5	complexity	complexity	NOUN
cana-3288	243	6	:	:	PUNCT
cana-3288	243	7	with	with	ADP
cana-3288	243	8	ldpc	ldpc	NOUN
cana-3288	243	9	codes	code	NOUN
cana-3288	243	10	,	,	PUNCT
cana-3288	243	11	the	the	DET
cana-3288	243	12	time	time	NOUN
cana-3288	243	13	complexity	complexity	NOUN
cana-3288	243	14	of	of	ADP
cana-3288	243	15	decoding	decoding	NOUN
cana-3288	243	16	becomes	become	VERB
cana-3288	243	17	linear	linear	ADJ
cana-3288	243	18	with	with	ADP
cana-3288	243	19	respect	respect	NOUN
cana-3288	243	20	to	to	ADP
cana-3288	243	21	the	the	DET
cana-3288	243	22	code	code	NOUN
cana-3288	243	23	length	length	NOUN
cana-3288	243	24	,	,	PUNCT
cana-3288	243	25	as	as	SCONJ
cana-3288	243	26	opposed	oppose	VERB
cana-3288	243	27	to	to	ADP
cana-3288	243	28	the	the	DET
cana-3288	243	29	quadratic	quadratic	ADJ
cana-3288	243	30	or	or	CCONJ
cana-3288	243	31	even	even	ADV
cana-3288	243	32	higher	high	ADJ
cana-3288	243	33	complexities	complexity	NOUN
cana-3288	243	34	in	in	ADP
cana-3288	243	35	traditional	traditional	ADJ
cana-3288	243	36	,	,	PUNCT
cana-3288	243	37	dense	dense	ADJ
cana-3288	243	38	parity	parity	NOUN
cana-3288	243	39	-	-	PUNCT
cana-3288	243	40	check	check	NOUN
cana-3288	243	41	decoding	decoding	NOUN
cana-3288	243	42	.	.	PUNCT
cana-3288	244	1	this	this	DET
cana-3288	244	2	efficiency	efficiency	NOUN
cana-3288	244	3	improvement	improvement	NOUN
cana-3288	244	4	means	mean	VERB
cana-3288	244	5	that	that	SCONJ
cana-3288	244	6	decoding	decoding	NOUN
cana-3288	244	7	can	can	AUX
cana-3288	244	8	occur	occur	VERB
cana-3288	244	9	much	much	ADV
cana-3288	244	10	faster	fast	ADV
cana-3288	244	11	,	,	PUNCT
cana-3288	244	12	with	with	ADP
cana-3288	244	13	fewer	few	ADJ
cana-3288	244	14	resources	resource	NOUN
cana-3288	244	15	required	require	VERB
cana-3288	244	16	.	.	PUNCT
cana-3288	245	1	3	3	X
cana-3288	245	2	.	.	X
cana-3288	245	3	lower	low	ADJ
cana-3288	245	4	resource	resource	NOUN
cana-3288	245	5	consumption	consumption	NOUN
cana-3288	245	6	:	:	PUNCT
cana-3288	245	7	the	the	DET
cana-3288	245	8	sparse	sparse	ADJ
cana-3288	245	9	nature	nature	NOUN
cana-3288	245	10	of	of	ADP
cana-3288	245	11	ldpc	ldpc	NOUN
cana-3288	245	12	matrices	matrix	NOUN
cana-3288	245	13	results	result	NOUN
cana-3288	245	14	in	in	ADP
cana-3288	245	15	reduced	reduced	ADJ
cana-3288	245	16	memory	memory	NOUN
cana-3288	245	17	requirements	requirement	NOUN
cana-3288	245	18	,	,	PUNCT
cana-3288	245	19	enabling	enable	VERB
cana-3288	245	20	more	more	ADV
cana-3288	245	21	efficient	efficient	ADJ
cana-3288	245	22	handling	handling	NOUN
cana-3288	245	23	of	of	ADP
cana-3288	245	24	the	the	DET
cana-3288	245	25	parity	parity	NOUN
cana-3288	245	26	-	-	PUNCT
cana-3288	245	27	check	check	NOUN
cana-3288	245	28	matrix	matrix	NOUN
cana-3288	245	29	,	,	PUNCT
cana-3288	245	30	especially	especially	ADV
cana-3288	245	31	in	in	ADP
cana-3288	245	32	environments	environment	NOUN
cana-3288	245	33	where	where	SCONJ
cana-3288	245	34	memory	memory	NOUN
cana-3288	245	35	is	be	AUX
cana-3288	245	36	limited	limited	ADJ
cana-3288	245	37	complexity	complexity	NOUN
cana-3288	245	38	analysis	analysis	NOUN
cana-3288	245	39	:	:	PUNCT
cana-3288	245	40	•	•	NUM
cana-3288	245	41	time	time	NOUN
cana-3288	245	42	complexity	complexity	NOUN
cana-3288	245	43	:	:	PUNCT
cana-3288	245	44	for	for	ADP
cana-3288	245	45	the	the	DET
cana-3288	245	46	ldpc	ldpc	NOUN
cana-3288	245	47	-	-	PUNCT
cana-3288	245	48	based	base	VERB
cana-3288	245	49	niederreiter	niederreiter	NOUN
cana-3288	245	50	system	system	NOUN
cana-3288	245	51	,	,	PUNCT
cana-3288	245	52	decoding	decode	VERB
cana-3288	245	53	can	can	AUX
cana-3288	245	54	be	be	AUX
cana-3288	245	55	performed	perform	VERB
cana-3288	245	56	in	in	ADP
cana-3288	245	57	o(n	o(n	PROPN
cana-3288	245	58	)	)	PUNCT
cana-3288	245	59	,	,	PUNCT
cana-3288	245	60	where	where	SCONJ
cana-3288	245	61	nnn	nnn	PROPN
cana-3288	245	62	is	be	AUX
cana-3288	245	63	the	the	DET
cana-3288	245	64	length	length	NOUN
cana-3288	245	65	of	of	ADP
cana-3288	245	66	the	the	DET
cana-3288	245	67	code	code	NOUN
cana-3288	245	68	.	.	PUNCT
cana-3288	246	1	in	in	ADP
cana-3288	246	2	contrast	contrast	NOUN
cana-3288	246	3	,	,	PUNCT
cana-3288	246	4	traditional	traditional	ADJ
cana-3288	246	5	decoding	decode	VERB
cana-3288	246	6	processes	process	NOUN
cana-3288	246	7	in	in	ADP
cana-3288	246	8	the	the	DET
cana-3288	246	9	niederreiter	niederreiter	NOUN
cana-3288	246	10	system	system	NOUN
cana-3288	246	11	could	could	AUX
cana-3288	246	12	have	have	VERB
cana-3288	246	13	complexities	complexity	NOUN
cana-3288	246	14	of	of	ADP
cana-3288	246	15	o(n2)or	o(n2)or	NOUN
cana-3288	246	16	higher	high	ADJ
cana-3288	246	17	,	,	PUNCT
cana-3288	246	18	depending	depend	VERB
cana-3288	246	19	on	on	ADP
cana-3288	246	20	the	the	DET
cana-3288	246	21	decoding	decode	VERB
cana-3288	246	22	algorithm	algorithm	NOUN
cana-3288	246	23	used	use	VERB
cana-3288	246	24	.	.	PUNCT
cana-3288	247	1	•	•	NUM
cana-3288	247	2	memory	memory	NOUN
cana-3288	247	3	requirements	requirement	NOUN
cana-3288	247	4	:	:	PUNCT
cana-3288	247	5	ldpc	ldpc	NOUN
cana-3288	247	6	decoding	decode	VERB
cana-3288	247	7	requires	require	VERB
cana-3288	247	8	less	less	ADJ
cana-3288	247	9	memory	memory	NOUN
cana-3288	247	10	due	due	ADP
cana-3288	247	11	to	to	ADP
cana-3288	247	12	the	the	DET
cana-3288	247	13	sparse	sparse	ADJ
cana-3288	247	14	nature	nature	NOUN
cana-3288	247	15	of	of	ADP
cana-3288	247	16	the	the	DET
cana-3288	247	17	matrix	matrix	NOUN
cana-3288	247	18	,	,	PUNCT
cana-3288	247	19	allowing	allow	VERB
cana-3288	247	20	it	it	PRON
cana-3288	247	21	to	to	PART
cana-3288	247	22	be	be	AUX
cana-3288	247	23	stored	store	VERB
cana-3288	247	24	more	more	ADV
cana-3288	247	25	compactly	compactly	ADV
cana-3288	247	26	and	and	CCONJ
cana-3288	247	27	processed	process	VERB
cana-3288	247	28	with	with	ADP
cana-3288	247	29	lower	low	ADJ
cana-3288	247	30	overhead	overhead	NOUN
cana-3288	247	31	.	.	PUNCT
cana-3288	248	1	improving	improve	VERB
cana-3288	248	2	efficiency	efficiency	NOUN
cana-3288	248	3	to	to	PART
cana-3288	248	4	further	far	ADV
cana-3288	248	5	optimize	optimize	VERB
cana-3288	248	6	the	the	DET
cana-3288	248	7	efficiency	efficiency	NOUN
cana-3288	248	8	of	of	ADP
cana-3288	248	9	the	the	DET
cana-3288	248	10	ldpc	ldpc	NOUN
cana-3288	248	11	-	-	PUNCT
cana-3288	248	12	based	base	VERB
cana-3288	248	13	niederreiter	niederreiter	NOUN
cana-3288	248	14	decoding	decode	VERB
cana-3288	248	15	process	process	NOUN
cana-3288	248	16	,	,	PUNCT
cana-3288	248	17	several	several	ADJ
cana-3288	248	18	strategies	strategy	NOUN
cana-3288	248	19	can	can	AUX
cana-3288	248	20	be	be	AUX
cana-3288	248	21	considered	consider	VERB
cana-3288	248	22	:	:	PUNCT
cana-3288	248	23	1	1	X
cana-3288	248	24	.	.	X
cana-3288	248	25	adaptive	adaptive	ADJ
cana-3288	248	26	thresholding	thresholding	NOUN
cana-3288	248	27	in	in	ADP
cana-3288	248	28	belief	belief	NOUN
cana-3288	248	29	propagation	propagation	NOUN
cana-3288	248	30	:	:	PUNCT
cana-3288	248	31	by	by	ADP
cana-3288	248	32	introducing	introduce	VERB
cana-3288	248	33	adaptive	adaptive	ADJ
cana-3288	248	34	thresholds	threshold	NOUN
cana-3288	248	35	in	in	ADP
cana-3288	248	36	the	the	DET
cana-3288	248	37	belief	belief	NOUN
cana-3288	248	38	propagation	propagation	NOUN
cana-3288	248	39	algorithm	algorithm	NOUN
cana-3288	248	40	,	,	PUNCT
cana-3288	248	41	convergence	convergence	NOUN
cana-3288	248	42	can	can	AUX
cana-3288	248	43	be	be	AUX
cana-3288	248	44	achieved	achieve	VERB
cana-3288	248	45	faster	fast	ADV
cana-3288	248	46	.	.	PUNCT
cana-3288	249	1	adjusting	adjust	VERB
cana-3288	249	2	these	these	DET
cana-3288	249	3	thresholds	threshold	NOUN
cana-3288	249	4	dynamically	dynamically	ADV
cana-3288	249	5	allows	allow	VERB
cana-3288	249	6	the	the	DET
cana-3288	249	7	algorithm	algorithm	NOUN
cana-3288	249	8	to	to	PART
cana-3288	249	9	stop	stop	VERB
cana-3288	249	10	once	once	ADV
cana-3288	249	11	a	a	DET
cana-3288	249	12	high	high	ADJ
cana-3288	249	13	-	-	PUNCT
cana-3288	249	14	confidence	confidence	NOUN
cana-3288	249	15	decoding	decoding	NOUN
cana-3288	249	16	is	be	AUX
cana-3288	249	17	reached	reach	VERB
cana-3288	249	18	,	,	PUNCT
cana-3288	249	19	thus	thus	ADV
cana-3288	249	20	reducing	reduce	VERB
cana-3288	249	21	unnecessary	unnecessary	ADJ
cana-3288	249	22	iterations	iteration	NOUN
cana-3288	249	23	.	.	PUNCT
cana-3288	250	1	2	2	X
cana-3288	250	2	.	.	X
cana-3288	250	3	parallel	parallel	ADJ
cana-3288	250	4	processing	processing	NOUN
cana-3288	250	5	for	for	ADP
cana-3288	250	6	large	large	ADJ
cana-3288	250	7	-	-	PUNCT
cana-3288	250	8	scale	scale	NOUN
cana-3288	250	9	applications	application	NOUN
cana-3288	250	10	:	:	PUNCT
cana-3288	250	11	ldpc	ldpc	NOUN
cana-3288	250	12	decoding	decode	VERB
cana-3288	250	13	can	can	AUX
cana-3288	250	14	be	be	AUX
cana-3288	250	15	parallelized	parallelize	VERB
cana-3288	250	16	effectively	effectively	ADV
cana-3288	250	17	,	,	PUNCT
cana-3288	250	18	as	as	SCONJ
cana-3288	250	19	each	each	DET
cana-3288	250	20	decoding	decode	VERB
cana-3288	250	21	iteration	iteration	NOUN
cana-3288	250	22	updates	update	VERB
cana-3288	250	23	independent	independent	ADJ
cana-3288	250	24	nodes	node	NOUN
cana-3288	250	25	in	in	ADP
cana-3288	250	26	the	the	DET
cana-3288	250	27	matrix	matrix	NOUN
cana-3288	250	28	.	.	PUNCT
cana-3288	251	1	using	use	VERB
cana-3288	251	2	parallel	parallel	ADJ
cana-3288	251	3	processing	processing	NOUN
cana-3288	251	4	,	,	PUNCT
cana-3288	251	5	such	such	ADJ
cana-3288	251	6	as	as	ADP
cana-3288	251	7	gpu	gpu	NOUN
cana-3288	251	8	acceleration	acceleration	NOUN
cana-3288	251	9	,	,	PUNCT
cana-3288	251	10	can	can	AUX
cana-3288	251	11	significantly	significantly	ADV
cana-3288	251	12	reduce	reduce	VERB
cana-3288	251	13	decoding	decode	VERB
cana-3288	251	14	time	time	NOUN
cana-3288	251	15	,	,	PUNCT
cana-3288	251	16	especially	especially	ADV
cana-3288	251	17	beneficial	beneficial	ADJ
cana-3288	251	18	for	for	ADP
cana-3288	251	19	large	large	ADJ
cana-3288	251	20	-	-	PUNCT
cana-3288	251	21	scale	scale	NOUN
cana-3288	251	22	,	,	PUNCT
cana-3288	251	23	highthroughput	highthroughput	VERB
cana-3288	251	24	communications	communication	NOUN
cana-3288	251	25	.	.	PUNCT
cana-3288	252	1	3	3	X
cana-3288	252	2	.	.	X
cana-3288	252	3	hybrid	hybrid	ADJ
cana-3288	252	4	decoding	decode	VERB
cana-3288	252	5	techniques	technique	NOUN
cana-3288	252	6	:	:	PUNCT
cana-3288	252	7	combining	combine	VERB
cana-3288	252	8	ldpc	ldpc	NOUN
cana-3288	252	9	decoding	decode	VERB
cana-3288	252	10	with	with	ADP
cana-3288	252	11	other	other	ADJ
cana-3288	252	12	efficient	efficient	ADJ
cana-3288	252	13	error	error	NOUN
cana-3288	252	14	-	-	PUNCT
cana-3288	252	15	correction	correction	NOUN
cana-3288	252	16	techniques	technique	NOUN
cana-3288	252	17	,	,	PUNCT
cana-3288	252	18	like	like	ADP
cana-3288	252	19	turbo	turbo	NOUN
cana-3288	252	20	codes	code	NOUN
cana-3288	252	21	or	or	CCONJ
cana-3288	252	22	low	low	ADJ
cana-3288	252	23	-	-	PUNCT
cana-3288	252	24	complexity	complexity	NOUN
cana-3288	252	25	decoders	decoder	NOUN
cana-3288	252	26	,	,	PUNCT
cana-3288	252	27	can	can	AUX
cana-3288	252	28	improve	improve	VERB
cana-3288	252	29	both	both	DET
cana-3288	252	30	reliability	reliability	NOUN
cana-3288	252	31	and	and	CCONJ
cana-3288	252	32	speed	speed	NOUN
cana-3288	252	33	.	.	PUNCT
cana-3288	253	1	hybrid	hybrid	ADJ
cana-3288	253	2	approaches	approach	NOUN
cana-3288	253	3	can	can	AUX
cana-3288	253	4	adapt	adapt	VERB
cana-3288	253	5	to	to	ADP
cana-3288	253	6	varying	vary	VERB
cana-3288	253	7	network	network	NOUN
cana-3288	253	8	conditions	condition	NOUN
cana-3288	253	9	or	or	CCONJ
cana-3288	253	10	resource	resource	NOUN
cana-3288	253	11	constraints	constraint	NOUN
cana-3288	253	12	,	,	PUNCT
cana-3288	253	13	allowing	allow	VERB
cana-3288	253	14	for	for	ADP
cana-3288	253	15	selective	selective	ADJ
cana-3288	253	16	decoding	decoding	NOUN
cana-3288	253	17	based	base	VERB
cana-3288	253	18	on	on	ADP
cana-3288	253	19	the	the	DET
cana-3288	253	20	application	application	NOUN
cana-3288	253	21	’s	’s	PART
cana-3288	253	22	requirements	requirement	NOUN
cana-3288	253	23	.	.	PUNCT
cana-3288	254	1	in	in	ADP
cana-3288	254	2	summary	summary	NOUN
cana-3288	254	3	,	,	PUNCT
cana-3288	254	4	the	the	DET
cana-3288	254	5	integration	integration	NOUN
cana-3288	254	6	of	of	ADP
cana-3288	254	7	ldpc	ldpc	NOUN
cana-3288	254	8	codes	code	NOUN
cana-3288	254	9	into	into	ADP
cana-3288	254	10	the	the	DET
cana-3288	254	11	niederreiter	niederreiter	NOUN
cana-3288	254	12	cryptosystem	cryptosystem	NOUN
cana-3288	254	13	drastically	drastically	ADV
cana-3288	254	14	improves	improve	VERB
cana-3288	254	15	decoding	decode	VERB
cana-3288	254	16	efficiency	efficiency	NOUN
cana-3288	254	17	,	,	PUNCT
cana-3288	254	18	enabling	enable	VERB
cana-3288	254	19	the	the	DET
cana-3288	254	20	system	system	NOUN
cana-3288	254	21	to	to	PART
cana-3288	254	22	be	be	AUX
cana-3288	254	23	more	more	ADV
cana-3288	254	24	practical	practical	ADJ
cana-3288	254	25	for	for	ADP
cana-3288	254	26	real	real	ADJ
cana-3288	254	27	-	-	PUNCT
cana-3288	254	28	world	world	NOUN
cana-3288	254	29	applications	application	NOUN
cana-3288	254	30	.	.	PUNCT
cana-3288	255	1	by	by	ADP
cana-3288	255	2	leveraging	leverage	VERB
cana-3288	255	3	the	the	DET
cana-3288	255	4	sparse	sparse	ADJ
cana-3288	255	5	matrix	matrix	NOUN
cana-3288	255	6	structure	structure	NOUN
cana-3288	255	7	and	and	CCONJ
cana-3288	255	8	efficient	efficient	ADJ
cana-3288	255	9	decoding	decode	VERB
cana-3288	255	10	algorithms	algorithm	NOUN
cana-3288	255	11	like	like	ADP
cana-3288	255	12	belief	belief	NOUN
cana-3288	255	13	propagation	propagation	NOUN
cana-3288	255	14	,	,	PUNCT
cana-3288	255	15	ldpc	ldpc	NOUN
cana-3288	255	16	-	-	PUNCT
cana-3288	255	17	enhanced	enhance	VERB
cana-3288	255	18	niederreiter	niederreiter	NOUN
cana-3288	255	19	decoding	decode	VERB
cana-3288	255	20	achieves	achieve	VERB
cana-3288	255	21	faster	fast	ADJ
cana-3288	255	22	processing	processing	NOUN
cana-3288	255	23	times	time	NOUN
cana-3288	255	24	and	and	CCONJ
cana-3288	255	25	reduced	reduced	ADJ
cana-3288	255	26	resource	resource	NOUN
cana-3288	255	27	consumption	consumption	NOUN
cana-3288	255	28	,	,	PUNCT
cana-3288	255	29	making	make	VERB
cana-3288	255	30	it	it	PRON
cana-3288	255	31	particularly	particularly	ADV
cana-3288	255	32	advantageous	advantageous	ADJ
cana-3288	255	33	for	for	ADP
cana-3288	255	34	large	large	ADJ
cana-3288	255	35	-	-	PUNCT
cana-3288	255	36	scale	scale	NOUN
cana-3288	255	37	and	and	CCONJ
cana-3288	255	38	resource	resource	NOUN
cana-3288	255	39	-	-	PUNCT
cana-3288	255	40	constrained	constrain	VERB
cana-3288	255	41	environments.the	environments.the	DET
cana-3288	255	42	table	table	NOUN
cana-3288	256	1	[	[	X
cana-3288	256	2	tab:2	tab:2	X
cana-3288	256	3	]	]	PUNCT
cana-3288	256	4	gives	give	VERB
cana-3288	256	5	the	the	DET
cana-3288	256	6	comparison	comparison	NOUN
cana-3288	256	7	between	between	ADP
cana-3288	256	8	the	the	DET
cana-3288	256	9	traditional	traditional	ADJ
cana-3288	256	10	niederreiter	niederreiter	NOUN
cana-3288	256	11	cryptosystem	cryptosystem	NOUN
cana-3288	256	12	and	and	CCONJ
cana-3288	256	13	the	the	DET
cana-3288	256	14	ldpc	ldpc	NOUN
cana-3288	256	15	-	-	PUNCT
cana-3288	256	16	enhanced	enhance	VERB
cana-3288	256	17	communications	communication	NOUN
cana-3288	256	18	on	on	ADP
cana-3288	256	19	applied	apply	VERB
cana-3288	256	20	nonlinear	nonlinear	ADJ
cana-3288	256	21	analysis	analysis	NOUN
cana-3288	256	22	issn	issn	NOUN
cana-3288	256	23	:	:	PUNCT
cana-3288	256	24	1074	1074	NUM
cana-3288	256	25	-	-	PUNCT
cana-3288	256	26	133x	133x	NUM
cana-3288	256	27	vol	vol	NOUN
cana-3288	256	28	32	32	NUM
cana-3288	256	29	no	no	NOUN
cana-3288	256	30	.	.	PUNCT
cana-3288	257	1	6s	6s	NUM
cana-3288	257	2	(	(	PUNCT
cana-3288	257	3	2025	2025	NUM
cana-3288	257	4	)	)	PUNCT
cana-3288	257	5	229	229	NUM
cana-3288	258	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-3288	258	2	niederreiter	niederreiter	VERB
cana-3288	258	3	cryptosystem	cryptosystem	NOUN
cana-3288	258	4	table:2	table:2	NOUN
cana-3288	258	5	2.4.4	2.4.4	NUM
cana-3288	258	6	security	security	NOUN
cana-3288	258	7	analysis	analysis	NOUN
cana-3288	258	8	post	post	ADJ
cana-3288	258	9	-	-	ADJ
cana-3288	258	10	quantum	quantum	ADJ
cana-3288	258	11	security	security	NOUN
cana-3288	258	12	the	the	DET
cana-3288	258	13	post	post	ADJ
cana-3288	258	14	-	-	ADJ
cana-3288	258	15	quantum	quantum	ADJ
cana-3288	258	16	security	security	NOUN
cana-3288	258	17	of	of	ADP
cana-3288	258	18	the	the	DET
cana-3288	258	19	proposed	propose	VERB
cana-3288	258	20	ldpc	ldpc	NOUN
cana-3288	258	21	-	-	PUNCT
cana-3288	258	22	enhanced	enhance	VERB
cana-3288	258	23	niederreiter	niederreiter	NOUN
cana-3288	258	24	cryptosystem	cryptosystem	NOUN
cana-3288	258	25	relies	rely	VERB
cana-3288	258	26	on	on	ADP
cana-3288	258	27	the	the	DET
cana-3288	258	28	inherent	inherent	ADJ
cana-3288	258	29	properties	property	NOUN
cana-3288	258	30	of	of	ADP
cana-3288	258	31	code	code	NOUN
cana-3288	258	32	-	-	PUNCT
cana-3288	258	33	based	base	VERB
cana-3288	258	34	cryptosystems	cryptosystem	NOUN
cana-3288	258	35	,	,	PUNCT
cana-3288	258	36	which	which	PRON
cana-3288	258	37	are	be	AUX
cana-3288	258	38	known	know	VERB
cana-3288	258	39	for	for	ADP
cana-3288	258	40	their	their	PRON
cana-3288	258	41	resilience	resilience	NOUN
cana-3288	258	42	against	against	ADP
cana-3288	258	43	quantum	quantum	NOUN
cana-3288	258	44	attacks	attack	NOUN
cana-3288	258	45	.	.	PUNCT
cana-3288	259	1	quantum	quantum	ADJ
cana-3288	259	2	algorithms	algorithm	NOUN
cana-3288	259	3	like	like	ADP
cana-3288	259	4	shor	shor	PROPN
cana-3288	259	5	’s	’s	PART
cana-3288	259	6	and	and	CCONJ
cana-3288	259	7	grover	grover	PROPN
cana-3288	259	8	’s	’s	PART
cana-3288	259	9	pose	pose	VERB
cana-3288	259	10	significant	significant	ADJ
cana-3288	259	11	threats	threat	NOUN
cana-3288	259	12	to	to	ADP
cana-3288	259	13	traditional	traditional	ADJ
cana-3288	259	14	cryptographic	cryptographic	ADJ
cana-3288	259	15	systems	system	NOUN
cana-3288	259	16	,	,	PUNCT
cana-3288	259	17	but	but	CCONJ
cana-3288	259	18	the	the	DET
cana-3288	259	19	niederreiter	niederreiter	NOUN
cana-3288	259	20	cryptosystem	cryptosystem	NOUN
cana-3288	259	21	remains	remain	VERB
cana-3288	259	22	a	a	DET
cana-3288	259	23	strong	strong	ADJ
cana-3288	259	24	candidate	candidate	NOUN
cana-3288	259	25	for	for	ADP
cana-3288	259	26	post	post	ADJ
cana-3288	259	27	-	-	ADJ
cana-3288	259	28	quantum	quantum	ADJ
cana-3288	259	29	security	security	NOUN
cana-3288	259	30	due	due	ADP
cana-3288	259	31	to	to	ADP
cana-3288	259	32	its	its	PRON
cana-3288	259	33	reliance	reliance	NOUN
cana-3288	259	34	on	on	ADP
cana-3288	259	35	hard	hard	ADJ
cana-3288	259	36	problems	problem	NOUN
cana-3288	259	37	in	in	ADP
cana-3288	259	38	coding	code	VERB
cana-3288	259	39	theory	theory	NOUN
cana-3288	259	40	,	,	PUNCT
cana-3288	259	41	such	such	ADJ
cana-3288	259	42	as	as	ADP
cana-3288	259	43	decoding	decode	VERB
cana-3288	259	44	random	random	ADJ
cana-3288	259	45	linear	linear	ADJ
cana-3288	259	46	codes	code	NOUN
cana-3288	259	47	.	.	PUNCT
cana-3288	260	1	here	here	ADV
cana-3288	260	2	’s	’	VERB
cana-3288	260	3	how	how	SCONJ
cana-3288	260	4	it	it	PRON
cana-3288	260	5	withstands	withstand	VERB
cana-3288	260	6	these	these	DET
cana-3288	260	7	attacks	attack	NOUN
cana-3288	260	8	:	:	PUNCT
cana-3288	260	9	•	•	NUM
cana-3288	260	10	resistance	resistance	NOUN
cana-3288	260	11	to	to	PART
cana-3288	260	12	shor	shor	VERB
cana-3288	260	13	’s	’s	PART
cana-3288	261	1	algorithm	algorithm	NOUN
cana-3288	261	2	:	:	PUNCT
cana-3288	261	3	shor	shor	PROPN
cana-3288	261	4	’s	’s	PART
cana-3288	261	5	algorithm	algorithm	NOUN
cana-3288	261	6	primarily	primarily	ADV
cana-3288	261	7	targets	target	VERB
cana-3288	261	8	cryptosystems	cryptosystem	NOUN
cana-3288	261	9	based	base	VERB
cana-3288	261	10	on	on	ADP
cana-3288	261	11	integer	integer	NOUN
cana-3288	261	12	factorization	factorization	NOUN
cana-3288	261	13	or	or	CCONJ
cana-3288	261	14	discrete	discrete	ADJ
cana-3288	261	15	logarithm	logarithm	NOUN
cana-3288	261	16	problems	problem	NOUN
cana-3288	261	17	.	.	PUNCT
cana-3288	262	1	since	since	SCONJ
cana-3288	262	2	the	the	DET
cana-3288	262	3	niederreiter	niederreiter	NOUN
cana-3288	262	4	cryptosystem	cryptosystem	NOUN
cana-3288	262	5	is	be	AUX
cana-3288	262	6	based	base	VERB
cana-3288	262	7	on	on	ADP
cana-3288	262	8	the	the	DET
cana-3288	262	9	decoding	decode	VERB
cana-3288	262	10	problem	problem	NOUN
cana-3288	262	11	in	in	ADP
cana-3288	262	12	linear	linear	PROPN
cana-3288	262	13	codes	code	NOUN
cana-3288	262	14	,	,	PUNCT
cana-3288	262	15	shor	shor	PROPN
cana-3288	262	16	’s	’s	PART
cana-3288	262	17	algorithm	algorithm	NOUN
cana-3288	262	18	is	be	AUX
cana-3288	262	19	not	not	PART
cana-3288	262	20	applicable	applicable	ADJ
cana-3288	262	21	,	,	PUNCT
cana-3288	262	22	preserving	preserve	VERB
cana-3288	262	23	the	the	DET
cana-3288	262	24	system	system	NOUN
cana-3288	262	25	’s	’s	PART
cana-3288	262	26	security	security	NOUN
cana-3288	262	27	even	even	ADV
cana-3288	262	28	in	in	ADP
cana-3288	262	29	the	the	DET
cana-3288	262	30	presence	presence	NOUN
cana-3288	262	31	of	of	ADP
cana-3288	262	32	quantum	quantum	NOUN
cana-3288	262	33	computing	computing	NOUN
cana-3288	262	34	advances	advance	NOUN
cana-3288	262	35	.	.	PUNCT
cana-3288	263	1	•	•	NUM
cana-3288	263	2	grover	grover	PROPN
cana-3288	263	3	’s	’s	PART
cana-3288	263	4	algorithm	algorithm	NOUN
cana-3288	263	5	and	and	CCONJ
cana-3288	263	6	security	security	NOUN
cana-3288	263	7	parameters	parameter	NOUN
cana-3288	263	8	:	:	PUNCT
cana-3288	263	9	grover	grover	PROPN
cana-3288	263	10	’s	’s	PART
cana-3288	263	11	algorithm	algorithm	NOUN
cana-3288	263	12	can	can	AUX
cana-3288	263	13	perform	perform	VERB
cana-3288	263	14	a	a	DET
cana-3288	263	15	bruteforce	bruteforce	NOUN
cana-3288	263	16	search	search	NOUN
cana-3288	263	17	with	with	ADP
cana-3288	263	18	a	a	DET
cana-3288	263	19	quadratic	quadratic	ADJ
cana-3288	263	20	speedup	speedup	NOUN
cana-3288	263	21	,	,	PUNCT
cana-3288	263	22	theoretically	theoretically	ADV
cana-3288	263	23	halving	halve	VERB
cana-3288	263	24	the	the	DET
cana-3288	263	25	security	security	NOUN
cana-3288	263	26	level	level	NOUN
cana-3288	263	27	of	of	ADP
cana-3288	263	28	a	a	DET
cana-3288	263	29	cryptosystem	cryptosystem	NOUN
cana-3288	263	30	.	.	PUNCT
cana-3288	264	1	to	to	PART
cana-3288	264	2	counter	counter	VERB
cana-3288	264	3	this	this	PRON
cana-3288	264	4	,	,	PUNCT
cana-3288	264	5	the	the	DET
cana-3288	264	6	security	security	NOUN
cana-3288	264	7	parameters	parameter	NOUN
cana-3288	264	8	(	(	PUNCT
cana-3288	264	9	such	such	ADJ
cana-3288	264	10	as	as	ADP
cana-3288	264	11	code	code	NOUN
cana-3288	264	12	length	length	NOUN
cana-3288	264	13	and	and	CCONJ
cana-3288	264	14	error	error	NOUN
cana-3288	264	15	weight	weight	NOUN
cana-3288	264	16	)	)	PUNCT
cana-3288	264	17	can	can	AUX
cana-3288	264	18	be	be	AUX
cana-3288	264	19	increased	increase	VERB
cana-3288	264	20	in	in	ADP
cana-3288	264	21	the	the	DET
cana-3288	264	22	ldpc	ldpc	NOUN
cana-3288	264	23	-	-	PUNCT
cana-3288	264	24	enhanced	enhance	VERB
cana-3288	264	25	niederreiter	niederreiter	NOUN
cana-3288	264	26	cryptosystem	cryptosystem	NOUN
cana-3288	264	27	to	to	PART
cana-3288	264	28	maintain	maintain	VERB
cana-3288	264	29	a	a	DET
cana-3288	264	30	desired	desire	VERB
cana-3288	264	31	security	security	NOUN
cana-3288	264	32	level	level	NOUN
cana-3288	264	33	,	,	PUNCT
cana-3288	264	34	ensuring	ensure	VERB
cana-3288	264	35	it	it	PRON
cana-3288	264	36	meets	meet	VERB
cana-3288	264	37	quantum	quantum	NOUN
cana-3288	264	38	-	-	PUNCT
cana-3288	264	39	resistant	resistant	ADJ
cana-3288	264	40	standards	standard	NOUN
cana-3288	264	41	while	while	SCONJ
cana-3288	264	42	leveraging	leverage	VERB
cana-3288	264	43	the	the	DET
cana-3288	264	44	efficiency	efficiency	NOUN
cana-3288	264	45	benefits	benefit	NOUN
cana-3288	264	46	of	of	ADP
cana-3288	264	47	ldpc	ldpc	NOUN
cana-3288	264	48	codes	code	NOUN
cana-3288	264	49	.	.	PUNCT
cana-3288	265	1	vulnerability	vulnerability	NOUN
cana-3288	265	2	analysis	analysis	NOUN
cana-3288	265	3	incorporating	incorporate	VERB
cana-3288	265	4	low	low	ADJ
cana-3288	265	5	-	-	PUNCT
cana-3288	265	6	density	density	NOUN
cana-3288	265	7	parity	parity	NOUN
cana-3288	265	8	-	-	PUNCT
cana-3288	265	9	check	check	NOUN
cana-3288	265	10	(	(	PUNCT
cana-3288	265	11	ldpc	ldpc	NOUN
cana-3288	265	12	)	)	PUNCT
cana-3288	265	13	codes	code	NOUN
cana-3288	265	14	into	into	ADP
cana-3288	265	15	the	the	DET
cana-3288	265	16	niederreiter	niederreiter	NOUN
cana-3288	265	17	framework	framework	NOUN
cana-3288	265	18	introduces	introduce	VERB
cana-3288	265	19	certain	certain	ADJ
cana-3288	265	20	potential	potential	ADJ
cana-3288	265	21	vulnerabilities	vulnerability	NOUN
cana-3288	265	22	,	,	PUNCT
cana-3288	265	23	particularly	particularly	ADV
cana-3288	265	24	due	due	ADJ
cana-3288	265	25	to	to	ADP
cana-3288	265	26	the	the	DET
cana-3288	265	27	structured	structured	ADJ
cana-3288	265	28	nature	nature	NOUN
cana-3288	265	29	of	of	ADP
cana-3288	265	30	ldpc	ldpc	NOUN
cana-3288	265	31	codes	code	NOUN
cana-3288	265	32	.	.	PUNCT
cana-3288	266	1	here	here	ADV
cana-3288	266	2	’s	’	VERB
cana-3288	266	3	an	an	DET
cana-3288	266	4	analysis	analysis	NOUN
cana-3288	266	5	of	of	ADP
cana-3288	266	6	these	these	DET
cana-3288	266	7	potential	potential	ADJ
cana-3288	266	8	weaknesses	weakness	NOUN
cana-3288	266	9	and	and	CCONJ
cana-3288	266	10	proposed	propose	VERB
cana-3288	266	11	countermeasures	countermeasure	NOUN
cana-3288	266	12	:	:	PUNCT
cana-3288	266	13	1	1	X
cana-3288	266	14	.	.	PUNCT
cana-3288	266	15	structural	structural	ADJ
cana-3288	266	16	vulnerabilities	vulnerability	NOUN
cana-3288	266	17	:	:	PUNCT
cana-3288	266	18	the	the	DET
cana-3288	266	19	sparse	sparse	ADJ
cana-3288	266	20	and	and	CCONJ
cana-3288	266	21	structured	structure	VERB
cana-3288	266	22	nature	nature	NOUN
cana-3288	266	23	of	of	ADP
cana-3288	266	24	ldpc	ldpc	NOUN
cana-3288	266	25	matrices	matrix	NOUN
cana-3288	266	26	could	could	AUX
cana-3288	266	27	,	,	PUNCT
cana-3288	266	28	in	in	ADP
cana-3288	266	29	theory	theory	NOUN
cana-3288	266	30	,	,	PUNCT
cana-3288	266	31	lead	lead	VERB
cana-3288	266	32	to	to	ADP
cana-3288	266	33	specific	specific	ADJ
cana-3288	266	34	patterns	pattern	NOUN
cana-3288	266	35	that	that	PRON
cana-3288	266	36	an	an	DET
cana-3288	266	37	attacker	attacker	NOUN
cana-3288	266	38	could	could	AUX
cana-3288	266	39	exploit	exploit	VERB
cana-3288	266	40	.	.	PUNCT
cana-3288	267	1	for	for	ADP
cana-3288	267	2	instance	instance	NOUN
cana-3288	267	3	,	,	PUNCT
cana-3288	267	4	certain	certain	ADJ
cana-3288	267	5	matrix	matrix	NOUN
cana-3288	267	6	structures	structure	NOUN
cana-3288	267	7	might	might	AUX
cana-3288	267	8	reveal	reveal	VERB
cana-3288	267	9	information	information	NOUN
cana-3288	267	10	about	about	ADP
cana-3288	267	11	the	the	DET
cana-3288	267	12	code	code	NOUN
cana-3288	267	13	or	or	CCONJ
cana-3288	267	14	reduce	reduce	VERB
cana-3288	267	15	the	the	DET
cana-3288	267	16	complexity	complexity	NOUN
cana-3288	267	17	of	of	ADP
cana-3288	267	18	certain	certain	ADJ
cana-3288	267	19	decoding	decoding	NOUN
cana-3288	267	20	attacks	attack	NOUN
cana-3288	267	21	.	.	PUNCT
cana-3288	268	1	countermeasure	countermeasure	NOUN
cana-3288	268	2	:	:	PUNCT
cana-3288	268	3	to	to	PART
cana-3288	268	4	mitigate	mitigate	VERB
cana-3288	268	5	this	this	DET
cana-3288	268	6	risk	risk	NOUN
cana-3288	268	7	,	,	PUNCT
cana-3288	268	8	it	it	PRON
cana-3288	268	9	is	be	AUX
cana-3288	268	10	essential	essential	ADJ
cana-3288	268	11	to	to	PART
cana-3288	268	12	randomize	randomize	VERB
cana-3288	268	13	the	the	DET
cana-3288	268	14	parity	parity	NOUN
cana-3288	268	15	-	-	PUNCT
cana-3288	268	16	check	check	NOUN
cana-3288	268	17	matrix	matrix	NOUN
cana-3288	268	18	as	as	ADV
cana-3288	268	19	much	much	ADV
cana-3288	268	20	as	as	ADP
cana-3288	268	21	possible	possible	ADJ
cana-3288	268	22	while	while	SCONJ
cana-3288	268	23	maintaining	maintain	VERB
cana-3288	268	24	the	the	DET
cana-3288	268	25	ldpc	ldpc	NOUN
cana-3288	268	26	structure	structure	NOUN
cana-3288	268	27	.	.	PUNCT
cana-3288	269	1	additionally	additionally	ADV
cana-3288	269	2	,	,	PUNCT
cana-3288	269	3	using	use	VERB
cana-3288	269	4	secure	secure	ADJ
cana-3288	269	5	,	,	PUNCT
cana-3288	269	6	pseudorandomly	pseudorandomly	PROPN
cana-3288	269	7	generated	generate	VERB
cana-3288	269	8	ldpc	ldpc	NOUN
cana-3288	269	9	matrices	matrix	NOUN
cana-3288	269	10	can	can	AUX
cana-3288	269	11	obscure	obscure	VERB
cana-3288	269	12	any	any	DET
cana-3288	269	13	identifiable	identifiable	ADJ
cana-3288	269	14	patterns	pattern	NOUN
cana-3288	269	15	,	,	PUNCT
cana-3288	269	16	making	make	VERB
cana-3288	269	17	it	it	PRON
cana-3288	269	18	difficult	difficult	ADJ
cana-3288	269	19	for	for	SCONJ
cana-3288	269	20	an	an	DET
cana-3288	269	21	attacker	attacker	NOUN
cana-3288	269	22	to	to	PART
cana-3288	269	23	infer	infer	VERB
cana-3288	269	24	useful	useful	ADJ
cana-3288	269	25	information	information	NOUN
cana-3288	269	26	.	.	PUNCT
cana-3288	270	1	2	2	X
cana-3288	270	2	.	.	X
cana-3288	270	3	weakness	weakness	NOUN
cana-3288	270	4	to	to	ADP
cana-3288	270	5	specific	specific	ADJ
cana-3288	270	6	attacks	attack	NOUN
cana-3288	270	7	:	:	PUNCT
cana-3288	270	8	ldpc	ldpc	NOUN
cana-3288	270	9	codes	code	NOUN
cana-3288	270	10	,	,	PUNCT
cana-3288	270	11	though	though	SCONJ
cana-3288	270	12	efficient	efficient	ADJ
cana-3288	270	13	,	,	PUNCT
cana-3288	270	14	may	may	AUX
cana-3288	270	15	be	be	AUX
cana-3288	270	16	susceptible	susceptible	ADJ
cana-3288	270	17	to	to	ADP
cana-3288	270	18	specialized	specialized	ADJ
cana-3288	270	19	attacks	attack	NOUN
cana-3288	270	20	that	that	PRON
cana-3288	270	21	take	take	VERB
cana-3288	270	22	advantage	advantage	NOUN
cana-3288	270	23	of	of	ADP
cana-3288	270	24	their	their	PRON
cana-3288	270	25	sparse	sparse	ADJ
cana-3288	270	26	structure	structure	NOUN
cana-3288	270	27	in	in	ADP
cana-3288	270	28	cryptanalysis	cryptanalysis	NOUN
cana-3288	270	29	.	.	PUNCT
cana-3288	271	1	this	this	PRON
cana-3288	271	2	is	be	AUX
cana-3288	271	3	especially	especially	ADV
cana-3288	271	4	concerning	concern	VERB
cana-3288	271	5	for	for	ADP
cana-3288	271	6	targeted	target	VERB
cana-3288	271	7	cryptographic	cryptographic	ADJ
cana-3288	271	8	applications	application	NOUN
cana-3288	271	9	,	,	PUNCT
cana-3288	271	10	where	where	SCONJ
cana-3288	271	11	attackers	attacker	NOUN
cana-3288	271	12	could	could	AUX
cana-3288	271	13	potentially	potentially	ADV
cana-3288	271	14	reduce	reduce	VERB
cana-3288	271	15	the	the	DET
cana-3288	271	16	decoding	decode	VERB
cana-3288	271	17	complexity	complexity	NOUN
cana-3288	271	18	.	.	PUNCT
cana-3288	272	1	countermeasure	countermeasure	NOUN
cana-3288	272	2	:	:	PUNCT
cana-3288	272	3	introducing	introduce	VERB
cana-3288	272	4	additional	additional	ADJ
cana-3288	272	5	error	error	NOUN
cana-3288	272	6	patterns	pattern	NOUN
cana-3288	272	7	or	or	CCONJ
cana-3288	272	8	slightly	slightly	ADV
cana-3288	272	9	modifying	modify	VERB
cana-3288	272	10	the	the	DET
cana-3288	272	11	ldpc	ldpc	NOUN
cana-3288	272	12	matrix	matrix	NOUN
cana-3288	272	13	to	to	ADP
cana-3288	272	14	communications	communication	NOUN
cana-3288	272	15	on	on	ADP
cana-3288	272	16	applied	apply	VERB
cana-3288	272	17	nonlinear	nonlinear	ADJ
cana-3288	272	18	analysis	analysis	NOUN
cana-3288	272	19	issn	issn	NOUN
cana-3288	272	20	:	:	PUNCT
cana-3288	272	21	1074	1074	NUM
cana-3288	272	22	-	-	PUNCT
cana-3288	272	23	133x	133x	NUM
cana-3288	272	24	vol	vol	NOUN
cana-3288	272	25	32	32	NUM
cana-3288	272	26	no	no	NOUN
cana-3288	272	27	.	.	PUNCT
cana-3288	273	1	6s	6s	NUM
cana-3288	273	2	(	(	PUNCT
cana-3288	273	3	2025	2025	NUM
cana-3288	273	4	)	)	PUNCT
cana-3288	273	5	230	230	NUM
cana-3288	273	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3288	273	7	increase	increase	NOUN
cana-3288	273	8	sparsity	sparsity	NOUN
cana-3288	273	9	randomness	randomness	NOUN
cana-3288	273	10	can	can	AUX
cana-3288	273	11	enhance	enhance	VERB
cana-3288	273	12	security	security	NOUN
cana-3288	273	13	.	.	PUNCT
cana-3288	274	1	moreover	moreover	ADV
cana-3288	274	2	,	,	PUNCT
cana-3288	274	3	regular	regular	ADJ
cana-3288	274	4	audits	audits	NOUN
cana-3288	274	5	and	and	CCONJ
cana-3288	274	6	updates	update	NOUN
cana-3288	274	7	of	of	ADP
cana-3288	274	8	the	the	DET
cana-3288	274	9	matrix	matrix	NOUN
cana-3288	274	10	generation	generation	NOUN
cana-3288	274	11	method	method	NOUN
cana-3288	274	12	can	can	AUX
cana-3288	274	13	help	help	VERB
cana-3288	274	14	maintain	maintain	VERB
cana-3288	274	15	robustness	robustness	NOUN
cana-3288	274	16	over	over	ADP
cana-3288	274	17	time	time	NOUN
cana-3288	274	18	.	.	PUNCT
cana-3288	275	1	comparison	comparison	NOUN
cana-3288	275	2	with	with	ADP
cana-3288	275	3	standard	standard	ADJ
cana-3288	275	4	niederreiter	niederreiter	NOUN
cana-3288	275	5	when	when	SCONJ
cana-3288	275	6	compared	compare	VERB
cana-3288	275	7	to	to	ADP
cana-3288	275	8	the	the	DET
cana-3288	275	9	standard	standard	ADJ
cana-3288	275	10	niederreiter	niederreiter	PROPN
cana-3288	275	11	cryptosystem	cryptosystem	NOUN
cana-3288	275	12	,	,	PUNCT
cana-3288	275	13	the	the	DET
cana-3288	275	14	ldpc	ldpc	NOUN
cana-3288	275	15	-	-	PUNCT
cana-3288	275	16	enhanced	enhance	VERB
cana-3288	275	17	version	version	NOUN
cana-3288	275	18	offers	offer	VERB
cana-3288	275	19	significant	significant	ADJ
cana-3288	275	20	performance	performance	NOUN
cana-3288	275	21	benefits	benefit	NOUN
cana-3288	275	22	with	with	ADP
cana-3288	275	23	minimal	minimal	ADJ
cana-3288	275	24	impact	impact	NOUN
cana-3288	275	25	on	on	ADP
cana-3288	275	26	security	security	NOUN
cana-3288	275	27	.	.	PUNCT
cana-3288	276	1	here	here	ADV
cana-3288	276	2	’s	’	VERB
cana-3288	276	3	an	an	DET
cana-3288	276	4	analysis	analysis	NOUN
cana-3288	276	5	of	of	ADP
cana-3288	276	6	the	the	DET
cana-3288	276	7	trade	trade	NOUN
cana-3288	276	8	-	-	PUNCT
cana-3288	276	9	offs	off	NOUN
cana-3288	276	10	:	:	PUNCT
cana-3288	276	11	•	•	NUM
cana-3288	276	12	security	security	NOUN
cana-3288	276	13	level	level	NOUN
cana-3288	276	14	:	:	PUNCT
cana-3288	276	15	both	both	DET
cana-3288	276	16	systems	system	NOUN
cana-3288	276	17	achieve	achieve	VERB
cana-3288	276	18	equivalent	equivalent	ADJ
cana-3288	276	19	levels	level	NOUN
cana-3288	276	20	of	of	ADP
cana-3288	276	21	quantum	quantum	ADJ
cana-3288	276	22	resistance	resistance	NOUN
cana-3288	276	23	,	,	PUNCT
cana-3288	276	24	as	as	SCONJ
cana-3288	276	25	they	they	PRON
cana-3288	276	26	are	be	AUX
cana-3288	276	27	based	base	VERB
cana-3288	276	28	on	on	ADP
cana-3288	276	29	the	the	DET
cana-3288	276	30	same	same	ADJ
cana-3288	276	31	hard	hard	ADJ
cana-3288	276	32	decoding	decoding	NOUN
cana-3288	276	33	problem	problem	NOUN
cana-3288	276	34	.	.	PUNCT
cana-3288	277	1	however	however	ADV
cana-3288	277	2	,	,	PUNCT
cana-3288	277	3	the	the	DET
cana-3288	277	4	ldpc	ldpc	NOUN
cana-3288	277	5	-	-	PUNCT
cana-3288	277	6	enhanced	enhance	VERB
cana-3288	277	7	version	version	NOUN
cana-3288	277	8	requires	require	VERB
cana-3288	277	9	a	a	DET
cana-3288	277	10	carefully	carefully	ADV
cana-3288	277	11	managed	manage	VERB
cana-3288	277	12	parameter	parameter	NOUN
cana-3288	277	13	choice	choice	NOUN
cana-3288	277	14	to	to	PART
cana-3288	277	15	counteract	counteract	VERB
cana-3288	277	16	any	any	DET
cana-3288	277	17	risks	risk	NOUN
cana-3288	277	18	posed	pose	VERB
cana-3288	277	19	by	by	ADP
cana-3288	277	20	ldpc	ldpc	NOUN
cana-3288	277	21	-	-	PUNCT
cana-3288	277	22	specific	specific	ADJ
cana-3288	277	23	structural	structural	ADJ
cana-3288	277	24	vulnerabilities	vulnerability	NOUN
cana-3288	277	25	.	.	PUNCT
cana-3288	278	1	•	•	NUM
cana-3288	278	2	performance	performance	NOUN
cana-3288	278	3	vs.	vs.	ADP
cana-3288	278	4	security	security	NOUN
cana-3288	278	5	:	:	PUNCT
cana-3288	278	6	while	while	SCONJ
cana-3288	278	7	the	the	DET
cana-3288	278	8	ldpc	ldpc	NOUN
cana-3288	278	9	-	-	PUNCT
cana-3288	278	10	enhanced	enhance	VERB
cana-3288	278	11	version	version	NOUN
cana-3288	278	12	reduces	reduce	VERB
cana-3288	278	13	key	key	ADJ
cana-3288	278	14	sizes	size	NOUN
cana-3288	278	15	and	and	CCONJ
cana-3288	278	16	decoding	decode	VERB
cana-3288	278	17	complexity	complexity	NOUN
cana-3288	278	18	significantly	significantly	ADV
cana-3288	278	19	,	,	PUNCT
cana-3288	278	20	these	these	DET
cana-3288	278	21	optimizations	optimization	NOUN
cana-3288	278	22	do	do	AUX
cana-3288	278	23	not	not	PART
cana-3288	278	24	inherently	inherently	ADV
cana-3288	278	25	compromise	compromise	VERB
cana-3288	278	26	security	security	NOUN
cana-3288	278	27	.	.	PUNCT
cana-3288	279	1	any	any	DET
cana-3288	279	2	trade	trade	NOUN
cana-3288	279	3	-	-	PUNCT
cana-3288	279	4	off	off	NOUN
cana-3288	279	5	is	be	AUX
cana-3288	279	6	managed	manage	VERB
cana-3288	279	7	through	through	ADP
cana-3288	279	8	cautious	cautious	ADJ
cana-3288	279	9	parameter	parameter	NOUN
cana-3288	279	10	selection	selection	NOUN
cana-3288	279	11	and	and	CCONJ
cana-3288	279	12	matrix	matrix	NOUN
cana-3288	279	13	design	design	NOUN
cana-3288	279	14	to	to	PART
cana-3288	279	15	retain	retain	VERB
cana-3288	279	16	the	the	DET
cana-3288	279	17	cryptographic	cryptographic	ADJ
cana-3288	279	18	hardness	hardness	NOUN
cana-3288	279	19	of	of	ADP
cana-3288	279	20	the	the	DET
cana-3288	279	21	decoding	decode	VERB
cana-3288	279	22	problem	problem	NOUN
cana-3288	279	23	.	.	PUNCT
cana-3288	280	1	the	the	DET
cana-3288	280	2	ldpc	ldpc	NOUN
cana-3288	280	3	-	-	PUNCT
cana-3288	280	4	enhanced	enhance	VERB
cana-3288	280	5	niederreiter	niederreiter	NOUN
cana-3288	280	6	cryptosystem	cryptosystem	NOUN
cana-3288	280	7	maintains	maintain	VERB
cana-3288	280	8	the	the	DET
cana-3288	280	9	essential	essential	ADJ
cana-3288	280	10	post	post	ADJ
cana-3288	280	11	-	-	ADJ
cana-3288	280	12	quantum	quantum	ADJ
cana-3288	280	13	security	security	NOUN
cana-3288	280	14	features	feature	NOUN
cana-3288	280	15	of	of	ADP
cana-3288	280	16	the	the	DET
cana-3288	280	17	traditional	traditional	ADJ
cana-3288	280	18	niederreiter	niederreiter	NOUN
cana-3288	280	19	system	system	NOUN
cana-3288	280	20	while	while	SCONJ
cana-3288	280	21	achieving	achieve	VERB
cana-3288	280	22	performance	performance	NOUN
cana-3288	280	23	gains	gain	NOUN
cana-3288	280	24	.	.	PUNCT
cana-3288	281	1	with	with	ADP
cana-3288	281	2	the	the	DET
cana-3288	281	3	inclusion	inclusion	NOUN
cana-3288	281	4	of	of	ADP
cana-3288	281	5	ran	ran	NOUN
cana-3288	281	6	domness	domness	NOUN
cana-3288	281	7	and	and	CCONJ
cana-3288	281	8	appropriate	appropriate	ADJ
cana-3288	281	9	security	security	NOUN
cana-3288	281	10	measures	measure	NOUN
cana-3288	281	11	,	,	PUNCT
cana-3288	281	12	any	any	DET
cana-3288	281	13	minor	minor	ADJ
cana-3288	281	14	vulnerabilities	vulnerability	NOUN
cana-3288	281	15	from	from	ADP
cana-3288	281	16	the	the	DET
cana-3288	281	17	ldpc	ldpc	NOUN
cana-3288	281	18	structure	structure	NOUN
cana-3288	281	19	can	can	AUX
cana-3288	281	20	be	be	AUX
cana-3288	281	21	effectively	effectively	ADV
cana-3288	281	22	mitigated	mitigate	VERB
cana-3288	281	23	,	,	PUNCT
cana-3288	281	24	making	make	VERB
cana-3288	281	25	this	this	DET
cana-3288	281	26	system	system	NOUN
cana-3288	281	27	a	a	DET
cana-3288	281	28	strong	strong	ADJ
cana-3288	281	29	candidate	candidate	NOUN
cana-3288	281	30	for	for	ADP
cana-3288	281	31	quantum	quantum	NOUN
cana-3288	281	32	-	-	PUNCT
cana-3288	281	33	resistant	resistant	ADJ
cana-3288	281	34	applications	application	NOUN
cana-3288	281	35	.	.	PUNCT
cana-3288	282	1	ldpc	ldpc	NOUN
cana-3288	282	2	-	-	PUNCT
cana-3288	282	3	enhanced	enhance	VERB
cana-3288	282	4	niederreiter	niederreiter	NOUN
cana-3288	282	5	cryptosystem	cryptosystem	NOUN
cana-3288	282	6	,	,	PUNCT
cana-3288	282	7	focusing	focus	VERB
cana-3288	282	8	on	on	ADP
cana-3288	282	9	key	key	ADJ
cana-3288	282	10	aspects	aspect	NOUN
cana-3288	282	11	of	of	ADP
cana-3288	282	12	post	post	ADJ
cana-3288	282	13	-	-	ADJ
cana-3288	282	14	quantum	quantum	ADJ
cana-3288	282	15	security	security	NOUN
cana-3288	282	16	and	and	CCONJ
cana-3288	282	17	integration	integration	NOUN
cana-3288	282	18	of	of	ADP
cana-3288	282	19	ldpc	ldpc	NOUN
cana-3288	282	20	codes	code	NOUN
cana-3288	282	21	while	while	SCONJ
cana-3288	282	22	maintaining	maintain	VERB
cana-3288	282	23	robustness	robustness	NOUN
cana-3288	282	24	against	against	ADP
cana-3288	282	25	potential	potential	ADJ
cana-3288	282	26	vulnerabilities	vulnerability	NOUN
cana-3288	282	27	.	.	PUNCT
cana-3288	283	1	2.4.5	2.4.5	NUM
cana-3288	283	2	niederreiter	niederreiter	VERB
cana-3288	283	3	cryptosystem	cryptosystem	NOUN
cana-3288	283	4	overview	overview	VERB
cana-3288	283	5	the	the	DET
cana-3288	283	6	niederreiter	niederreiter	NOUN
cana-3288	283	7	cryptosystem	cryptosystem	NOUN
cana-3288	283	8	,	,	PUNCT
cana-3288	283	9	based	base	VERB
cana-3288	283	10	on	on	ADP
cana-3288	283	11	coding	code	VERB
cana-3288	283	12	theory	theory	NOUN
cana-3288	283	13	,	,	PUNCT
cana-3288	283	14	uses	use	VERB
cana-3288	283	15	the	the	DET
cana-3288	283	16	syndrome	syndrome	NOUN
cana-3288	283	17	decoding	decode	VERB
cana-3288	283	18	problem	problem	NOUN
cana-3288	283	19	to	to	PART
cana-3288	283	20	achieve	achieve	VERB
cana-3288	283	21	security	security	NOUN
cana-3288	283	22	.	.	PUNCT
cana-3288	284	1	•	•	NUM
cana-3288	284	2	public	public	ADJ
cana-3288	284	3	key	key	NOUN
cana-3288	284	4	:	:	PUNCT
cana-3288	284	5	the	the	DET
cana-3288	284	6	public	public	ADJ
cana-3288	284	7	key	key	NOUN
cana-3288	284	8	in	in	ADP
cana-3288	284	9	the	the	DET
cana-3288	284	10	niederreiter	niederreiter	NOUN
cana-3288	284	11	system	system	NOUN
cana-3288	284	12	is	be	AUX
cana-3288	284	13	a	a	DET
cana-3288	284	14	matrix	matrix	NOUN
cana-3288	284	15	h	h	NOUN
cana-3288	284	16	that	that	PRON
cana-3288	284	17	represents	represent	VERB
cana-3288	284	18	a	a	DET
cana-3288	284	19	parity	parity	NOUN
cana-3288	284	20	check	check	NOUN
cana-3288	284	21	matrix	matrix	NOUN
cana-3288	284	22	for	for	ADP
cana-3288	284	23	an	an	DET
cana-3288	284	24	error	error	NOUN
cana-3288	284	25	-	-	PUNCT
cana-3288	284	26	correcting	correct	VERB
cana-3288	284	27	code	code	NOUN
cana-3288	284	28	.	.	PUNCT
cana-3288	285	1	this	this	DET
cana-3288	285	2	matrix	matrix	NOUN
cana-3288	285	3	has	have	VERB
cana-3288	285	4	properties	property	NOUN
cana-3288	285	5	that	that	PRON
cana-3288	285	6	ensure	ensure	VERB
cana-3288	285	7	decoding	decoding	NOUN
cana-3288	285	8	is	be	AUX
cana-3288	285	9	difficult	difficult	ADJ
cana-3288	285	10	for	for	ADP
cana-3288	285	11	unauthorized	unauthorized	ADJ
cana-3288	285	12	users	user	NOUN
cana-3288	285	13	,	,	PUNCT
cana-3288	285	14	especially	especially	ADV
cana-3288	285	15	when	when	SCONJ
cana-3288	285	16	the	the	DET
cana-3288	285	17	code	code	NOUN
cana-3288	285	18	is	be	AUX
cana-3288	285	19	randomly	randomly	ADV
cana-3288	285	20	generated	generate	VERB
cana-3288	285	21	.	.	PUNCT
cana-3288	286	1	•	•	NUM
cana-3288	286	2	encryption	encryption	NOUN
cana-3288	286	3	:	:	PUNCT
cana-3288	286	4	to	to	PART
cana-3288	286	5	encrypt	encrypt	VERB
cana-3288	286	6	a	a	DET
cana-3288	286	7	message	message	NOUN
cana-3288	286	8	,	,	PUNCT
cana-3288	286	9	an	an	DET
cana-3288	286	10	error	error	NOUN
cana-3288	286	11	vector	vector	NOUN
cana-3288	286	12	e	e	NOUN
cana-3288	286	13	is	be	AUX
cana-3288	286	14	chosen	choose	VERB
cana-3288	286	15	,	,	PUNCT
cana-3288	286	16	where	where	SCONJ
cana-3288	286	17	e	e	PROPN
cana-3288	286	18	is	be	AUX
cana-3288	286	19	a	a	DET
cana-3288	286	20	binary	binary	ADJ
cana-3288	286	21	vector	vector	NOUN
cana-3288	286	22	of	of	ADP
cana-3288	286	23	fixed	fix	VERB
cana-3288	286	24	weight	weight	NOUN
cana-3288	286	25	t	t	NOUN
cana-3288	286	26	(	(	PUNCT
cana-3288	286	27	number	number	NOUN
cana-3288	286	28	of	of	ADP
cana-3288	286	29	non	non	ADJ
cana-3288	286	30	-	-	ADJ
cana-3288	286	31	zero	zero	NUM
cana-3288	286	32	entries	entry	NOUN
cana-3288	286	33	)	)	PUNCT
cana-3288	286	34	.	.	PUNCT
cana-3288	287	1	the	the	DET
cana-3288	287	2	ciphertext	ciphertext	PROPN
cana-3288	287	3	c	c	NOUN
cana-3288	287	4	is	be	AUX
cana-3288	287	5	then	then	ADV
cana-3288	287	6	computed	compute	VERB
cana-3288	287	7	as	as	ADP
cana-3288	287	8	:	:	PUNCT
cana-3288	287	9	c	c	X
cana-3288	287	10	=	=	PUNCT
cana-3288	288	1	h.et	h.et	NOUN
cana-3288	288	2	•	•	ADV
cana-3288	288	3	here	here	ADV
cana-3288	288	4	,	,	PUNCT
cana-3288	288	5	h	h	NOUN
cana-3288	288	6	is	be	AUX
cana-3288	288	7	the	the	DET
cana-3288	288	8	parity	parity	NOUN
cana-3288	288	9	-	-	PUNCT
cana-3288	288	10	check	check	NOUN
cana-3288	288	11	matrix	matrix	NOUN
cana-3288	288	12	and	and	CCONJ
cana-3288	288	13	e	e	NOUN
cana-3288	288	14	is	be	AUX
cana-3288	288	15	a	a	DET
cana-3288	288	16	random	random	ADJ
cana-3288	288	17	error	error	NOUN
cana-3288	288	18	vector	vector	NOUN
cana-3288	288	19	of	of	ADP
cana-3288	288	20	weight	weight	NOUN
cana-3288	288	21	t.	t.	NOUN
cana-3288	288	22	this	this	DET
cana-3288	288	23	operation	operation	NOUN
cana-3288	288	24	generates	generate	VERB
cana-3288	288	25	a	a	DET
cana-3288	288	26	syndrome	syndrome	NOUN
cana-3288	288	27	c	c	NOUN
cana-3288	288	28	that	that	PRON
cana-3288	288	29	can	can	AUX
cana-3288	288	30	not	not	PART
cana-3288	288	31	be	be	AUX
cana-3288	288	32	reversed	reverse	VERB
cana-3288	288	33	without	without	ADP
cana-3288	288	34	knowledge	knowledge	NOUN
cana-3288	288	35	of	of	ADP
cana-3288	288	36	the	the	DET
cana-3288	288	37	private	private	ADJ
cana-3288	288	38	key	key	NOUN
cana-3288	288	39	.	.	PUNCT
cana-3288	289	1	•	•	NUM
cana-3288	289	2	private	private	ADJ
cana-3288	289	3	key	key	NOUN
cana-3288	289	4	:	:	PUNCT
cana-3288	289	5	the	the	DET
cana-3288	289	6	private	private	ADJ
cana-3288	289	7	key	key	NOUN
cana-3288	289	8	is	be	AUX
cana-3288	289	9	an	an	DET
cana-3288	289	10	efficient	efficient	ADJ
cana-3288	289	11	decoding	decode	VERB
cana-3288	289	12	algorithm	algorithm	NOUN
cana-3288	289	13	for	for	ADP
cana-3288	289	14	the	the	DET
cana-3288	289	15	specific	specific	ADJ
cana-3288	289	16	code	code	NOUN
cana-3288	289	17	represented	represent	VERB
cana-3288	289	18	by	by	ADP
cana-3288	289	19	h.	h.	PROPN
cana-3288	289	20	in	in	ADP
cana-3288	289	21	traditional	traditional	ADJ
cana-3288	289	22	niederreiter	niederreiter	NOUN
cana-3288	289	23	,	,	PUNCT
cana-3288	289	24	this	this	PRON
cana-3288	289	25	could	could	AUX
cana-3288	289	26	be	be	AUX
cana-3288	289	27	a	a	DET
cana-3288	289	28	general	general	ADJ
cana-3288	289	29	decoding	decode	VERB
cana-3288	289	30	algorithm	algorithm	NOUN
cana-3288	289	31	for	for	ADP
cana-3288	289	32	a	a	DET
cana-3288	289	33	linear	linear	PROPN
cana-3288	289	34	code	code	NOUN
cana-3288	289	35	.	.	PUNCT
cana-3288	290	1	2.4.6	2.4.6	NUM
cana-3288	290	2	low	low	ADJ
cana-3288	290	3	-	-	PUNCT
cana-3288	290	4	density	density	NOUN
cana-3288	290	5	parity	parity	NOUN
cana-3288	290	6	-	-	PUNCT
cana-3288	290	7	check	check	NOUN
cana-3288	290	8	(	(	PUNCT
cana-3288	290	9	ldpc	ldpc	NOUN
cana-3288	290	10	)	)	PUNCT
cana-3288	290	11	codes	code	VERB
cana-3288	290	12	integration	integration	NOUN
cana-3288	290	13	incorporating	incorporate	VERB
cana-3288	290	14	ldpc	ldpc	NOUN
cana-3288	290	15	codes	code	NOUN
cana-3288	290	16	into	into	ADP
cana-3288	290	17	the	the	DET
cana-3288	290	18	niederreiter	niederreiter	NOUN
cana-3288	290	19	system	system	NOUN
cana-3288	290	20	offers	offer	VERB
cana-3288	290	21	key	key	ADJ
cana-3288	290	22	benefits	benefit	NOUN
cana-3288	290	23	,	,	PUNCT
cana-3288	290	24	primarily	primarily	ADV
cana-3288	290	25	due	due	ADP
cana-3288	290	26	to	to	ADP
cana-3288	290	27	the	the	DET
cana-3288	290	28	sparsity	sparsity	NOUN
cana-3288	290	29	and	and	CCONJ
cana-3288	290	30	efficient	efficient	ADJ
cana-3288	290	31	decoding	decode	VERB
cana-3288	290	32	properties	property	NOUN
cana-3288	290	33	of	of	ADP
cana-3288	290	34	ldpc	ldpc	NOUN
cana-3288	290	35	codes	code	NOUN
cana-3288	290	36	:	:	PUNCT
cana-3288	290	37	•	•	NUM
cana-3288	290	38	ldpc	ldpc	NOUN
cana-3288	290	39	matrix	matrix	NOUN
cana-3288	290	40	structure	structure	NOUN
cana-3288	290	41	:	:	PUNCT
cana-3288	290	42	ldpc	ldpc	NOUN
cana-3288	290	43	codes	code	NOUN
cana-3288	290	44	use	use	VERB
cana-3288	290	45	a	a	DET
cana-3288	290	46	parity	parity	NOUN
cana-3288	290	47	-	-	PUNCT
cana-3288	290	48	check	check	NOUN
cana-3288	290	49	matrix	matrix	NOUN
cana-3288	290	50	hldp	hldp	NOUN
cana-3288	290	51	c	c	PROPN
cana-3288	290	52	that	that	PRON
cana-3288	290	53	is	be	AUX
cana-3288	290	54	sparse	sparse	ADJ
cana-3288	290	55	,	,	PUNCT
cana-3288	290	56	meaning	mean	VERB
cana-3288	290	57	it	it	PRON
cana-3288	290	58	contains	contain	VERB
cana-3288	290	59	relatively	relatively	ADV
cana-3288	290	60	few	few	ADJ
cana-3288	290	61	non	non	ADJ
cana-3288	290	62	-	-	ADJ
cana-3288	290	63	zero	zero	NUM
cana-3288	290	64	entries	entry	NOUN
cana-3288	290	65	.	.	PUNCT
cana-3288	291	1	this	this	DET
cana-3288	291	2	sparsity	sparsity	NOUN
cana-3288	291	3	allows	allow	VERB
cana-3288	291	4	for	for	ADP
cana-3288	291	5	highly	highly	ADV
cana-3288	291	6	efficient	efficient	ADJ
cana-3288	291	7	matrix	matrix	NOUN
cana-3288	291	8	-	-	PUNCT
cana-3288	291	9	vector	vector	NOUN
cana-3288	291	10	multiplication	multiplication	NOUN
cana-3288	291	11	,	,	PUNCT
cana-3288	291	12	which	which	PRON
cana-3288	291	13	is	be	AUX
cana-3288	291	14	computationally	computationally	ADV
cana-3288	291	15	advantageous	advantageous	ADJ
cana-3288	291	16	during	during	ADP
cana-3288	291	17	encryption	encryption	NOUN
cana-3288	291	18	and	and	CCONJ
cana-3288	291	19	decryption	decryption	NOUN
cana-3288	291	20	.	.	PUNCT
cana-3288	292	1	communications	communication	NOUN
cana-3288	292	2	on	on	ADP
cana-3288	292	3	applied	apply	VERB
cana-3288	292	4	nonlinear	nonlinear	ADJ
cana-3288	292	5	analysis	analysis	NOUN
cana-3288	292	6	issn	issn	NOUN
cana-3288	292	7	:	:	PUNCT
cana-3288	292	8	1074	1074	NUM
cana-3288	292	9	-	-	PUNCT
cana-3288	292	10	133x	133x	NUM
cana-3288	292	11	vol	vol	NOUN
cana-3288	292	12	32	32	NUM
cana-3288	292	13	no	no	NOUN
cana-3288	292	14	.	.	PUNCT
cana-3288	293	1	6s	6s	NUM
cana-3288	293	2	(	(	PUNCT
cana-3288	293	3	2025	2025	NUM
cana-3288	293	4	)	)	PUNCT
cana-3288	293	5	231	231	NUM
cana-3288	293	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3288	293	7	•	•	NOUN
cana-3288	293	8	encoding	encode	VERB
cana-3288	293	9	with	with	ADP
cana-3288	293	10	ldpc	ldpc	NOUN
cana-3288	293	11	:	:	PUNCT
cana-3288	293	12	the	the	DET
cana-3288	293	13	parity	parity	NOUN
cana-3288	293	14	-	-	PUNCT
cana-3288	293	15	check	check	NOUN
cana-3288	293	16	matrix	matrix	NOUN
cana-3288	293	17	hldp	hldp	NOUN
cana-3288	293	18	c	c	PROPN
cana-3288	293	19	used	use	VERB
cana-3288	293	20	in	in	ADP
cana-3288	293	21	the	the	DET
cana-3288	293	22	ldpc	ldpc	NOUN
cana-3288	293	23	-	-	PUNCT
cana-3288	293	24	enhanced	enhance	VERB
cana-3288	293	25	niederreiter	niederreiter	NOUN
cana-3288	293	26	system	system	NOUN
cana-3288	293	27	is	be	AUX
cana-3288	293	28	constructed	construct	VERB
cana-3288	293	29	to	to	PART
cana-3288	293	30	maintain	maintain	VERB
cana-3288	293	31	low	low	ADJ
cana-3288	293	32	density	density	NOUN
cana-3288	293	33	,	,	PUNCT
cana-3288	293	34	which	which	PRON
cana-3288	293	35	drastically	drastically	ADV
cana-3288	293	36	reduces	reduce	VERB
cana-3288	293	37	memory	memory	NOUN
cana-3288	293	38	usage	usage	NOUN
cana-3288	293	39	and	and	CCONJ
cana-3288	293	40	computational	computational	ADJ
cana-3288	293	41	complexity	complexity	NOUN
cana-3288	293	42	.	.	PUNCT
cana-3288	294	1	this	this	DET
cana-3288	294	2	matrix	matrix	NOUN
cana-3288	294	3	hldp	hldp	NOUN
cana-3288	294	4	c	c	PROPN
cana-3288	294	5	replaces	replace	VERB
cana-3288	294	6	the	the	DET
cana-3288	294	7	standard	standard	ADJ
cana-3288	294	8	parity	parity	NOUN
cana-3288	294	9	-	-	PUNCT
cana-3288	294	10	check	check	NOUN
cana-3288	294	11	matrix	matrix	NOUN
cana-3288	294	12	,	,	PUNCT
cana-3288	294	13	yielding	yield	VERB
cana-3288	294	14	a	a	DET
cana-3288	294	15	smaller	small	ADJ
cana-3288	294	16	key	key	ADJ
cana-3288	294	17	size	size	NOUN
cana-3288	294	18	and	and	CCONJ
cana-3288	294	19	faster	fast	ADJ
cana-3288	294	20	operations	operation	NOUN
cana-3288	294	21	.	.	PUNCT
cana-3288	295	1	•	•	NUM
cana-3288	295	2	decoding	decode	VERB
cana-3288	295	3	:	:	PUNCT
cana-3288	295	4	ldpc	ldpc	NOUN
cana-3288	295	5	decoding	decode	VERB
cana-3288	295	6	relies	rely	VERB
cana-3288	295	7	on	on	ADP
cana-3288	295	8	iterative	iterative	NOUN
cana-3288	295	9	decoding	decode	VERB
cana-3288	295	10	algorithms	algorithm	NOUN
cana-3288	295	11	such	such	ADJ
cana-3288	295	12	as	as	ADP
cana-3288	295	13	the	the	DET
cana-3288	295	14	belief	belief	NOUN
cana-3288	295	15	propagation	propagation	NOUN
cana-3288	295	16	(	(	PUNCT
cana-3288	295	17	bp	bp	PROPN
cana-3288	295	18	)	)	PUNCT
cana-3288	295	19	or	or	CCONJ
cana-3288	295	20	sum	sum	NOUN
cana-3288	295	21	-	-	PUNCT
cana-3288	295	22	product	product	NOUN
cana-3288	295	23	algorithm	algorithm	NOUN
cana-3288	295	24	(	(	PUNCT
cana-3288	295	25	spa	spa	NOUN
cana-3288	295	26	)	)	PUNCT
cana-3288	295	27	,	,	PUNCT
cana-3288	295	28	which	which	PRON
cana-3288	295	29	efficiently	efficiently	ADV
cana-3288	295	30	handle	handle	VERB
cana-3288	295	31	the	the	DET
cana-3288	295	32	decoding	decoding	NOUN
cana-3288	295	33	of	of	ADP
cana-3288	295	34	large	large	ADJ
cana-3288	295	35	ldpc	ldpc	NOUN
cana-3288	295	36	matrices	matrix	NOUN
cana-3288	295	37	.	.	PUNCT
cana-3288	296	1	these	these	DET
cana-3288	296	2	algorithms	algorithm	NOUN
cana-3288	296	3	leverage	leverage	VERB
cana-3288	296	4	the	the	DET
cana-3288	296	5	sparse	sparse	ADJ
cana-3288	296	6	nature	nature	NOUN
cana-3288	296	7	of	of	ADP
cana-3288	296	8	the	the	DET
cana-3288	296	9	ldpc	ldpc	NOUN
cana-3288	296	10	matrix	matrix	NOUN
cana-3288	296	11	to	to	PART
cana-3288	296	12	quickly	quickly	ADV
cana-3288	296	13	converge	converge	VERB
cana-3288	296	14	to	to	ADP
cana-3288	296	15	a	a	DET
cana-3288	296	16	solution	solution	NOUN
cana-3288	296	17	,	,	PUNCT
cana-3288	296	18	significantly	significantly	ADV
cana-3288	296	19	improving	improve	VERB
cana-3288	296	20	decoding	decode	VERB
cana-3288	296	21	speed	speed	NOUN
cana-3288	296	22	.	.	PUNCT
cana-3288	297	1	mathematical	mathematical	ADJ
cana-3288	297	2	benefits	benefit	NOUN
cana-3288	297	3	of	of	ADP
cana-3288	297	4	ldpc	ldpc	NOUN
cana-3288	297	5	integration	integration	NOUN
cana-3288	297	6	key	key	ADJ
cana-3288	297	7	size	size	NOUN
cana-3288	297	8	reduction	reduction	NOUN
cana-3288	297	9	:	:	PUNCT
cana-3288	297	10	the	the	DET
cana-3288	297	11	public	public	ADJ
cana-3288	297	12	key	key	NOUN
cana-3288	297	13	in	in	ADP
cana-3288	297	14	the	the	DET
cana-3288	297	15	niederreiter	niederreiter	NOUN
cana-3288	297	16	system	system	NOUN
cana-3288	297	17	is	be	AUX
cana-3288	297	18	the	the	DET
cana-3288	297	19	parity	parity	NOUN
cana-3288	297	20	-	-	PUNCT
cana-3288	297	21	check	check	NOUN
cana-3288	297	22	matrix	matrix	NOUN
cana-3288	297	23	h′.	h′.	NOUN
cana-3288	297	24	in	in	ADP
cana-3288	297	25	the	the	DET
cana-3288	297	26	case	case	NOUN
cana-3288	297	27	of	of	ADP
cana-3288	297	28	an	an	DET
cana-3288	297	29	ldpc	ldpc	NOUN
cana-3288	297	30	matrix	matrix	NOUN
cana-3288	297	31	,	,	PUNCT
cana-3288	297	32	the	the	DET
cana-3288	297	33	number	number	NOUN
cana-3288	297	34	of	of	ADP
cana-3288	297	35	non	non	ADJ
cana-3288	297	36	-	-	ADJ
cana-3288	297	37	zero	zero	NUM
cana-3288	297	38	entries	entry	NOUN
cana-3288	297	39	is	be	AUX
cana-3288	297	40	much	much	ADV
cana-3288	297	41	smaller	small	ADJ
cana-3288	297	42	,	,	PUNCT
cana-3288	297	43	leading	lead	VERB
cana-3288	297	44	to	to	ADP
cana-3288	297	45	significant	significant	ADJ
cana-3288	297	46	key	key	ADJ
cana-3288	297	47	size	size	NOUN
cana-3288	297	48	reductions	reduction	NOUN
cana-3288	297	49	.	.	PUNCT
cana-3288	298	1	if	if	SCONJ
cana-3288	298	2	a	a	DET
cana-3288	298	3	standard	standard	ADJ
cana-3288	298	4	matrix	matrix	NOUN
cana-3288	298	5	has	have	VERB
cana-3288	298	6	r	r	NOUN
cana-3288	298	7	×	×	NOUN
cana-3288	298	8	n	n	PRON
cana-3288	298	9	entries	entry	NOUN
cana-3288	298	10	,	,	PUNCT
cana-3288	298	11	an	an	DET
cana-3288	298	12	ldpc	ldpc	NOUN
cana-3288	298	13	matrix	matrix	NOUN
cana-3288	298	14	might	might	AUX
cana-3288	298	15	have	have	VERB
cana-3288	298	16	only	only	ADV
cana-3288	298	17	a	a	DET
cana-3288	298	18	small	small	ADJ
cana-3288	298	19	fraction	fraction	NOUN
cana-3288	298	20	(	(	PUNCT
cana-3288	298	21	e.g.	e.g.	ADV
cana-3288	298	22	,	,	PUNCT
cana-3288	298	23	5	5	NUM
cana-3288	298	24	%	%	NOUN
cana-3288	298	25	)	)	PUNCT
cana-3288	298	26	of	of	ADP
cana-3288	298	27	non	non	ADJ
cana-3288	298	28	-	-	ADJ
cana-3288	298	29	zero	zero	NUM
cana-3288	298	30	elements	element	NOUN
cana-3288	298	31	,	,	PUNCT
cana-3288	298	32	making	make	VERB
cana-3288	298	33	the	the	DET
cana-3288	298	34	public	public	ADJ
cana-3288	298	35	key	key	NOUN
cana-3288	298	36	much	much	ADV
cana-3288	298	37	more	more	ADV
cana-3288	298	38	compact	compact	ADJ
cana-3288	298	39	.	.	PUNCT
cana-3288	299	1	efficient	efficient	ADJ
cana-3288	299	2	decoding	decoding	NOUN
cana-3288	299	3	:	:	PUNCT
cana-3288	299	4	the	the	DET
cana-3288	299	5	iterative	iterative	NOUN
cana-3288	299	6	decoding	decode	VERB
cana-3288	299	7	algorithms	algorithm	NOUN
cana-3288	299	8	for	for	ADP
cana-3288	299	9	ldpc	ldpc	NOUN
cana-3288	299	10	codes	code	NOUN
cana-3288	299	11	have	have	AUX
cana-3288	299	12	complexity	complexity	NOUN
cana-3288	299	13	approx	approx	PROPN
cana-3288	299	14	imately	imately	ADV
cana-3288	299	15	proportional	proportional	ADJ
cana-3288	299	16	to	to	ADP
cana-3288	299	17	the	the	DET
cana-3288	299	18	number	number	NOUN
cana-3288	299	19	of	of	ADP
cana-3288	299	20	non	non	ADJ
cana-3288	299	21	-	-	ADJ
cana-3288	299	22	zero	zero	NUM
cana-3288	299	23	entries	entry	NOUN
cana-3288	299	24	in	in	ADP
cana-3288	299	25	the	the	DET
cana-3288	299	26	matrix	matrix	NOUN
cana-3288	299	27	.	.	PUNCT
cana-3288	300	1	this	this	DET
cana-3288	300	2	sparsity	sparsity	NOUN
cana-3288	300	3	allows	allow	VERB
cana-3288	300	4	for	for	ADP
cana-3288	300	5	much	much	ADV
cana-3288	300	6	faster	fast	ADJ
cana-3288	300	7	decryption	decryption	NOUN
cana-3288	300	8	times	time	NOUN
cana-3288	300	9	compared	compare	VERB
cana-3288	300	10	to	to	ADP
cana-3288	300	11	traditional	traditional	ADJ
cana-3288	300	12	dense	dense	ADJ
cana-3288	300	13	codes	code	NOUN
cana-3288	300	14	,	,	PUNCT
cana-3288	300	15	making	make	VERB
cana-3288	300	16	it	it	PRON
cana-3288	300	17	feasible	feasible	ADJ
cana-3288	300	18	to	to	PART
cana-3288	300	19	use	use	VERB
cana-3288	300	20	the	the	DET
cana-3288	300	21	system	system	NOUN
cana-3288	300	22	in	in	ADP
cana-3288	300	23	scenarios	scenario	NOUN
cana-3288	300	24	with	with	ADP
cana-3288	300	25	strict	strict	ADJ
cana-3288	300	26	performance	performance	NOUN
cana-3288	300	27	constraints	constraint	NOUN
cana-3288	300	28	(	(	PUNCT
cana-3288	300	29	e.g.	e.g.	ADV
cana-3288	300	30	,	,	PUNCT
cana-3288	300	31	iot	iot	ADJ
cana-3288	300	32	devices	device	NOUN
cana-3288	300	33	)	)	PUNCT
cana-3288	300	34	.	.	PUNCT
cana-3288	301	1	security	security	NOUN
cana-3288	301	2	considerations	consideration	NOUN
cana-3288	301	3	:	:	PUNCT
cana-3288	301	4	the	the	DET
cana-3288	301	5	postquantum	postquantum	NOUN
cana-3288	301	6	security	security	NOUN
cana-3288	301	7	of	of	ADP
cana-3288	301	8	the	the	DET
cana-3288	301	9	ldpc	ldpc	NOUN
cana-3288	301	10	-	-	PUNCT
cana-3288	301	11	enhanced	enhance	VERB
cana-3288	301	12	niederreiter	niederreiter	NOUN
cana-3288	301	13	cryptosystem	cryptosystem	NOUN
cana-3288	301	14	remains	remain	VERB
cana-3288	301	15	robust	robust	ADJ
cana-3288	301	16	,	,	PUNCT
cana-3288	301	17	as	as	SCONJ
cana-3288	301	18	the	the	DET
cana-3288	301	19	underlying	underlie	VERB
cana-3288	301	20	security	security	NOUN
cana-3288	301	21	still	still	ADV
cana-3288	301	22	relies	rely	VERB
cana-3288	301	23	on	on	ADP
cana-3288	301	24	the	the	DET
cana-3288	301	25	difficulty	difficulty	NOUN
cana-3288	301	26	of	of	ADP
cana-3288	301	27	decoding	decode	VERB
cana-3288	301	28	random	random	ADJ
cana-3288	301	29	linear	linear	ADJ
cana-3288	301	30	codes	code	NOUN
cana-3288	301	31	,	,	PUNCT
cana-3288	301	32	a	a	DET
cana-3288	301	33	problem	problem	NOUN
cana-3288	301	34	that	that	PRON
cana-3288	301	35	is	be	AUX
cana-3288	301	36	believed	believe	VERB
cana-3288	301	37	to	to	PART
cana-3288	301	38	be	be	AUX
cana-3288	301	39	np	np	NOUN
cana-3288	301	40	-	-	PUNCT
cana-3288	301	41	hard	hard	ADJ
cana-3288	301	42	.	.	PUNCT
cana-3288	302	1	the	the	DET
cana-3288	302	2	use	use	NOUN
cana-3288	302	3	of	of	ADP
cana-3288	302	4	ldpc	ldpc	NOUN
cana-3288	302	5	codes	code	NOUN
cana-3288	302	6	introduces	introduce	VERB
cana-3288	302	7	no	no	DET
cana-3288	302	8	significant	significant	ADJ
cana-3288	302	9	vulnerabilities	vulnerability	NOUN
cana-3288	302	10	,	,	PUNCT
cana-3288	302	11	as	as	SCONJ
cana-3288	302	12	the	the	DET
cana-3288	302	13	permutation	permutation	NOUN
cana-3288	302	14	applied	apply	VERB
cana-3288	302	15	to	to	ADP
cana-3288	302	16	the	the	DET
cana-3288	302	17	parity	parity	NOUN
cana-3288	302	18	-	-	PUNCT
cana-3288	302	19	check	check	NOUN
cana-3288	302	20	matrix	matrix	NOUN
cana-3288	302	21	disguises	disguise	VERB
cana-3288	302	22	its	its	PRON
cana-3288	302	23	structure	structure	NOUN
cana-3288	302	24	,	,	PUNCT
cana-3288	302	25	preventing	prevent	VERB
cana-3288	302	26	an	an	DET
cana-3288	302	27	attacker	attacker	NOUN
cana-3288	302	28	from	from	ADP
cana-3288	302	29	exploiting	exploit	VERB
cana-3288	302	30	the	the	DET
cana-3288	302	31	sparsity.the	sparsity.the	PRON
cana-3288	302	32	the	the	DET
cana-3288	302	33	iterative	iterative	NOUN
cana-3288	302	34	decoding	decode	VERB
cana-3288	302	35	algorithms	algorithm	NOUN
cana-3288	302	36	used	use	VERB
cana-3288	302	37	for	for	ADP
cana-3288	302	38	ldpc	ldpc	NOUN
cana-3288	302	39	codes	code	NOUN
cana-3288	302	40	are	be	AUX
cana-3288	302	41	resistant	resistant	ADJ
cana-3288	302	42	to	to	ADP
cana-3288	302	43	known	know	VERB
cana-3288	302	44	quantum	quantum	NOUN
cana-3288	302	45	attacks	attack	NOUN
cana-3288	302	46	,	,	PUNCT
cana-3288	302	47	preserving	preserve	VERB
cana-3288	302	48	the	the	DET
cana-3288	302	49	quantum	quantum	ADJ
cana-3288	302	50	resistance	resistance	NOUN
cana-3288	302	51	of	of	ADP
cana-3288	302	52	the	the	DET
cana-3288	302	53	original	original	ADJ
cana-3288	302	54	niederreiter	niederreiter	NOUN
cana-3288	302	55	cryptosystem	cryptosystem	NOUN
cana-3288	302	56	.	.	PUNCT
cana-3288	303	1	2.4.7	2.4.7	NUM
cana-3288	303	2	niederreiter	niederreiter	VERB
cana-3288	303	3	cryptosystem	cryptosystem	NOUN
cana-3288	303	4	with	with	ADP
cana-3288	303	5	ldpc	ldpc	NOUN
cana-3288	303	6	codes	code	NOUN
cana-3288	303	7	:	:	PUNCT
cana-3288	303	8	examples	example	NOUN
cana-3288	303	9	overview	overview	NOUN
cana-3288	303	10	of	of	ADP
cana-3288	303	11	the	the	DET
cana-3288	303	12	niederreiter	niederreiter	NOUN
cana-3288	303	13	cryptosystem	cryptosystem	NOUN
cana-3288	303	14	key	key	ADJ
cana-3288	303	15	generation	generation	NOUN
cana-3288	303	16	example	example	NOUN
cana-3288	303	17	:	:	PUNCT
cana-3288	303	18	in	in	ADP
cana-3288	303	19	the	the	DET
cana-3288	303	20	standard	standard	ADJ
cana-3288	303	21	niederreiter	niederreiter	PROPN
cana-3288	303	22	cryptosystem	cryptosystem	NOUN
cana-3288	303	23	,	,	PUNCT
cana-3288	303	24	key	key	ADJ
cana-3288	303	25	generation	generation	NOUN
cana-3288	303	26	involves	involve	VERB
cana-3288	303	27	selecting	select	VERB
cana-3288	303	28	a	a	DET
cana-3288	303	29	parity	parity	NOUN
cana-3288	303	30	-	-	PUNCT
cana-3288	303	31	check	check	NOUN
cana-3288	303	32	matrix	matrix	NOUN
cana-3288	303	33	from	from	ADP
cana-3288	303	34	an	an	DET
cana-3288	303	35	error	error	NOUN
cana-3288	303	36	-	-	PUNCT
cana-3288	303	37	correcting	correct	VERB
cana-3288	303	38	code	code	NOUN
cana-3288	303	39	and	and	CCONJ
cana-3288	303	40	permuting	permute	VERB
cana-3288	303	41	it	it	PRON
cana-3288	303	42	to	to	PART
cana-3288	303	43	generate	generate	VERB
cana-3288	303	44	the	the	DET
cana-3288	303	45	public	public	ADJ
cana-3288	303	46	key	key	NOUN
cana-3288	303	47	.	.	PUNCT
cana-3288	304	1	let	let	VERB
cana-3288	304	2	’s	’s	NOUN
cana-3288	304	3	consider	consider	VERB
cana-3288	304	4	a	a	DET
cana-3288	304	5	simplified	simplified	ADJ
cana-3288	304	6	example	example	NOUN
cana-3288	304	7	where	where	SCONJ
cana-3288	304	8	we	we	PRON
cana-3288	304	9	use	use	VERB
cana-3288	304	10	a	a	DET
cana-3288	304	11	small	small	ADJ
cana-3288	304	12	parity	parity	NOUN
cana-3288	304	13	-	-	PUNCT
cana-3288	304	14	check	check	NOUN
cana-3288	304	15	matrix	matrix	NOUN
cana-3288	304	16	h.	h.	PROPN
cana-3288	304	17	here	here	ADV
cana-3288	304	18	,	,	PUNCT
cana-3288	304	19	h	h	PROPN
cana-3288	304	20	is	be	AUX
cana-3288	304	21	a	a	DET
cana-3288	304	22	2	2	NUM
cana-3288	304	23	×	×	NOUN
cana-3288	304	24	5	5	NUM
cana-3288	304	25	over	over	ADP
cana-3288	304	26	gf	gf	X
cana-3288	304	27	(	(	PUNCT
cana-3288	304	28	2	2	NUM
cana-3288	304	29	)	)	PUNCT
cana-3288	304	30	.	.	PUNCT
cana-3288	305	1	this	this	DET
cana-3288	305	2	matrix	matrix	NOUN
cana-3288	305	3	represents	represent	VERB
cana-3288	305	4	a	a	DET
cana-3288	305	5	simple	simple	ADJ
cana-3288	305	6	linear	linear	NOUN
cana-3288	305	7	error	error	NOUN
cana-3288	305	8	-	-	PUNCT
cana-3288	305	9	correcting	correct	VERB
cana-3288	305	10	code	code	NOUN
cana-3288	305	11	.	.	PUNCT
cana-3288	306	1	permutation	permutation	NOUN
cana-3288	306	2	:	:	PUNCT
cana-3288	306	3	apply	apply	VERB
cana-3288	306	4	a	a	DET
cana-3288	306	5	random	random	ADJ
cana-3288	306	6	permutation	permutation	NOUN
cana-3288	306	7	p	p	NOUN
cana-3288	306	8	to	to	ADP
cana-3288	306	9	the	the	DET
cana-3288	306	10	columns	column	NOUN
cana-3288	306	11	of	of	ADP
cana-3288	306	12	h.	h.	PROPN
cana-3288	306	13	suppose	suppose	VERB
cana-3288	306	14	the	the	DET
cana-3288	306	15	permutation	permutation	NOUN
cana-3288	306	16	matrix	matrix	NOUN
cana-3288	306	17	p	p	NOUN
cana-3288	306	18	is	be	AUX
cana-3288	306	19	:	:	PUNCT
cana-3288	306	20	communications	communication	NOUN
cana-3288	306	21	on	on	ADP
cana-3288	306	22	applied	apply	VERB
cana-3288	306	23	nonlinear	nonlinear	ADJ
cana-3288	306	24	analysis	analysis	NOUN
cana-3288	306	25	issn	issn	NOUN
cana-3288	306	26	:	:	PUNCT
cana-3288	306	27	1074	1074	NUM
cana-3288	306	28	-	-	PUNCT
cana-3288	306	29	133x	133x	NUM
cana-3288	306	30	vol	vol	NOUN
cana-3288	306	31	32	32	NUM
cana-3288	306	32	no	no	NOUN
cana-3288	306	33	.	.	PUNCT
cana-3288	307	1	6s	6s	NUM
cana-3288	307	2	(	(	PUNCT
cana-3288	307	3	2025	2025	NUM
cana-3288	307	4	)	)	PUNCT
cana-3288	307	5	232	232	NUM
cana-3288	308	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-3288	308	2	the	the	DET
cana-3288	308	3	resulting	result	VERB
cana-3288	308	4	permuted	permuted	ADJ
cana-3288	308	5	matrix	matrix	NOUN
cana-3288	308	6	h′	h′	PROPN
cana-3288	308	7	is	be	AUX
cana-3288	308	8	:	:	PUNCT
cana-3288	308	9	the	the	DET
cana-3288	308	10	private	private	ADJ
cana-3288	308	11	key	key	NOUN
cana-3288	308	12	is	be	AUX
cana-3288	308	13	(	(	PUNCT
cana-3288	308	14	h	h	NOUN
cana-3288	308	15	,	,	PUNCT
cana-3288	308	16	p	p	NOUN
cana-3288	308	17	)	)	PUNCT
cana-3288	308	18	.	.	PUNCT
cana-3288	309	1	encryption	encryption	NOUN
cana-3288	309	2	example	example	NOUN
cana-3288	309	3	:	:	PUNCT
cana-3288	309	4	choose	choose	VERB
cana-3288	309	5	a	a	DET
cana-3288	309	6	random	random	ADJ
cana-3288	309	7	error	error	NOUN
cana-3288	309	8	vector	vector	NOUN
cana-3288	309	9	e	e	NOUN
cana-3288	309	10	∈	∈	NOUN
cana-3288	309	11	gf	gf	X
cana-3288	309	12	(	(	PUNCT
cana-3288	309	13	2)5	2)5	NUM
cana-3288	309	14	with	with	ADP
cana-3288	309	15	fixed	fix	VERB
cana-3288	309	16	hamming	hamming	NOUN
cana-3288	309	17	weight	weight	NOUN
cana-3288	309	18	w	w	NOUN
cana-3288	309	19	=	=	SYM
cana-3288	309	20	2	2	NUM
cana-3288	309	21	(	(	PUNCT
cana-3288	309	22	meaning	mean	VERB
cana-3288	309	23	exactly	exactly	ADV
cana-3288	309	24	2	2	NUM
cana-3288	309	25	bits	bit	NOUN
cana-3288	309	26	are	be	AUX
cana-3288	309	27	non	non	ADJ
cana-3288	309	28	-	-	ADJ
cana-3288	309	29	zero	zero	NUM
cana-3288	309	30	)	)	PUNCT
cana-3288	309	31	.	.	PUNCT
cana-3288	310	1	suppose	suppose	VERB
cana-3288	311	1	e	e	X
cana-3288	311	2	=	=	SYM
cana-3288	311	3	(	(	PUNCT
cana-3288	311	4	1	1	NUM
cana-3288	311	5	,	,	PUNCT
cana-3288	311	6	0	0	NUM
cana-3288	311	7	,	,	PUNCT
cana-3288	311	8	0	0	NUM
cana-3288	311	9	,	,	PUNCT
cana-3288	311	10	1	1	NUM
cana-3288	311	11	,	,	PUNCT
cana-3288	311	12	0	0	NUM
cana-3288	311	13	)	)	PUNCT
cana-3288	311	14	.	.	PUNCT
cana-3288	312	1	the	the	DET
cana-3288	312	2	ciphertext	ciphertext	NOUN
cana-3288	312	3	is	be	AUX
cana-3288	312	4	computed	compute	VERB
cana-3288	312	5	as	as	ADP
cana-3288	312	6	:	:	PUNCT
cana-3288	312	7	this	this	PRON
cana-3288	312	8	results	result	NOUN
cana-3288	312	9	in	in	ADP
cana-3288	312	10	the	the	DET
cana-3288	312	11	ciphertext	ciphertext	NOUN
cana-3288	312	12	c	c	NOUN
cana-3288	312	13	=	=	SYM
cana-3288	312	14	(	(	PUNCT
cana-3288	312	15	1	1	NUM
cana-3288	312	16	,	,	PUNCT
cana-3288	312	17	1	1	X
cana-3288	312	18	)	)	PUNCT
cana-3288	312	19	decryption	decryption	NOUN
cana-3288	312	20	example	example	NOUN
cana-3288	312	21	:	:	PUNCT
cana-3288	312	22	the	the	DET
cana-3288	312	23	recipient	recipient	NOUN
cana-3288	312	24	applies	apply	VERB
cana-3288	312	25	the	the	DET
cana-3288	312	26	inverse	inverse	ADJ
cana-3288	312	27	permutation	permutation	NOUN
cana-3288	312	28	to	to	ADP
cana-3288	312	29	the	the	DET
cana-3288	312	30	ciphertext	ciphertext	PROPN
cana-3288	312	31	c	c	NOUN
cana-3288	312	32	,	,	PUNCT
cana-3288	312	33	resulting	result	VERB
cana-3288	312	34	in	in	ADP
cana-3288	312	35	c′=	c′=	PROPN
cana-3288	312	36	c.p	c.p	PROPN
cana-3288	312	37	−1	−1	NOUN
cana-3288	312	38	.	.	PUNCT
cana-3288	313	1	the	the	DET
cana-3288	313	2	receiver	receiver	NOUN
cana-3288	313	3	then	then	ADV
cana-3288	313	4	uses	use	VERB
cana-3288	313	5	an	an	DET
cana-3288	313	6	error	error	NOUN
cana-3288	313	7	-	-	PUNCT
cana-3288	313	8	correction	correction	NOUN
cana-3288	313	9	algorithm	algorithm	NOUN
cana-3288	313	10	based	base	VERB
cana-3288	313	11	on	on	ADP
cana-3288	313	12	the	the	DET
cana-3288	313	13	matrix	matrix	NOUN
cana-3288	313	14	h	h	NOUN
cana-3288	313	15	to	to	PART
cana-3288	313	16	recover	recover	VERB
cana-3288	313	17	the	the	DET
cana-3288	313	18	original	original	ADJ
cana-3288	313	19	error	error	NOUN
cana-3288	313	20	vector	vector	NOUN
cana-3288	313	21	e.	e.	PROPN
cana-3288	313	22	for	for	ADP
cana-3288	313	23	simplicity	simplicity	NOUN
cana-3288	313	24	,	,	PUNCT
cana-3288	313	25	assume	assume	VERB
cana-3288	313	26	the	the	DET
cana-3288	313	27	error	error	NOUN
cana-3288	313	28	-	-	PUNCT
cana-3288	313	29	correction	correction	NOUN
cana-3288	313	30	process	process	NOUN
cana-3288	313	31	identifies	identify	VERB
cana-3288	313	32	the	the	DET
cana-3288	313	33	error	error	NOUN
cana-3288	313	34	vector	vector	NOUN
cana-3288	313	35	e	e	NOUN
cana-3288	313	36	=	=	PUNCT
cana-3288	313	37	(	(	PUNCT
cana-3288	313	38	1	1	NUM
cana-3288	313	39	,	,	PUNCT
cana-3288	313	40	0	0	NUM
cana-3288	313	41	,	,	PUNCT
cana-3288	313	42	0	0	NUM
cana-3288	313	43	,	,	PUNCT
cana-3288	313	44	1	1	NUM
cana-3288	313	45	,	,	PUNCT
cana-3288	313	46	0	0	NUM
cana-3288	313	47	)	)	PUNCT
cana-3288	313	48	.	.	PUNCT
cana-3288	314	1	introduction	introduction	NOUN
cana-3288	314	2	to	to	ADP
cana-3288	314	3	ldpc	ldpc	NOUN
cana-3288	314	4	codes	code	NOUN
cana-3288	314	5	low	low	ADJ
cana-3288	314	6	-	-	PUNCT
cana-3288	314	7	density	density	NOUN
cana-3288	314	8	parity	parity	NOUN
cana-3288	314	9	-	-	PUNCT
cana-3288	314	10	check	check	NOUN
cana-3288	314	11	(	(	PUNCT
cana-3288	314	12	ldpc	ldpc	NOUN
cana-3288	314	13	)	)	PUNCT
cana-3288	314	14	codes	code	NOUN
cana-3288	314	15	have	have	VERB
cana-3288	314	16	a	a	DET
cana-3288	314	17	sparse	sparse	ADJ
cana-3288	314	18	parity	parity	NOUN
cana-3288	314	19	-	-	PUNCT
cana-3288	314	20	check	check	NOUN
cana-3288	314	21	matrix	matrix	NOUN
cana-3288	314	22	,	,	PUNCT
cana-3288	314	23	meaning	mean	VERB
cana-3288	314	24	that	that	SCONJ
cana-3288	314	25	most	most	ADJ
cana-3288	314	26	of	of	ADP
cana-3288	314	27	the	the	DET
cana-3288	314	28	entries	entry	NOUN
cana-3288	314	29	are	be	AUX
cana-3288	314	30	zeros	zero	NOUN
cana-3288	314	31	.	.	PUNCT
cana-3288	315	1	this	this	DET
cana-3288	315	2	sparsity	sparsity	NOUN
cana-3288	315	3	allows	allow	VERB
cana-3288	315	4	for	for	ADP
cana-3288	315	5	more	more	ADV
cana-3288	315	6	efficient	efficient	ADJ
cana-3288	315	7	operations	operation	NOUN
cana-3288	315	8	,	,	PUNCT
cana-3288	315	9	such	such	ADJ
cana-3288	315	10	as	as	ADP
cana-3288	315	11	encryption	encryption	NOUN
cana-3288	315	12	and	and	CCONJ
cana-3288	315	13	decoding	decoding	NOUN
cana-3288	315	14	.	.	PUNCT
cana-3288	316	1	example	example	NOUN
cana-3288	316	2	of	of	ADP
cana-3288	316	3	an	an	DET
cana-3288	316	4	ldpc	ldpc	NOUN
cana-3288	316	5	parity	parity	NOUN
cana-3288	316	6	-	-	PUNCT
cana-3288	316	7	check	check	NOUN
cana-3288	316	8	matrix	matrix	NOUN
cana-3288	316	9	:	:	PUNCT
cana-3288	316	10	consider	consider	VERB
cana-3288	316	11	an	an	DET
cana-3288	316	12	ldpc	ldpc	NOUN
cana-3288	316	13	parity	parity	NOUN
cana-3288	316	14	-	-	PUNCT
cana-3288	316	15	check	check	NOUN
cana-3288	316	16	matrix	matrix	NOUN
cana-3288	316	17	,	,	PUNCT
cana-3288	316	18	where	where	SCONJ
cana-3288	316	19	only	only	ADV
cana-3288	316	20	a	a	DET
cana-3288	316	21	few	few	ADJ
cana-3288	316	22	entries	entry	NOUN
cana-3288	316	23	are	be	AUX
cana-3288	316	24	non	non	ADJ
cana-3288	316	25	-	-	ADJ
cana-3288	316	26	zero	zero	NUM
cana-3288	316	27	:	:	PUNCT
cana-3288	316	28	this	this	DET
cana-3288	316	29	matrix	matrix	NOUN
cana-3288	316	30	is	be	AUX
cana-3288	316	31	sparse	sparse	ADJ
cana-3288	316	32	because	because	SCONJ
cana-3288	316	33	most	most	ADJ
cana-3288	316	34	of	of	ADP
cana-3288	316	35	its	its	PRON
cana-3288	316	36	entries	entry	NOUN
cana-3288	316	37	are	be	AUX
cana-3288	316	38	zero	zero	NUM
cana-3288	316	39	.	.	PUNCT
cana-3288	317	1	the	the	DET
cana-3288	317	2	number	number	NOUN
cana-3288	317	3	of	of	ADP
cana-3288	317	4	non	non	ADJ
cana-3288	317	5	-	-	ADJ
cana-3288	317	6	zero	zero	NUM
cana-3288	317	7	elements	element	NOUN
cana-3288	317	8	is	be	AUX
cana-3288	317	9	much	much	ADV
cana-3288	317	10	smaller	small	ADJ
cana-3288	317	11	than	than	ADP
cana-3288	317	12	in	in	ADP
cana-3288	317	13	a	a	DET
cana-3288	317	14	dense	dense	ADJ
cana-3288	317	15	matrix	matrix	NOUN
cana-3288	317	16	,	,	PUNCT
cana-3288	317	17	making	make	VERB
cana-3288	317	18	it	it	PRON
cana-3288	317	19	computationally	computationally	ADV
cana-3288	317	20	lighter	light	ADJ
cana-3288	317	21	to	to	PART
cana-3288	317	22	handle	handle	VERB
cana-3288	317	23	.	.	PUNCT
cana-3288	318	1	key	key	ADJ
cana-3288	318	2	size	size	NOUN
cana-3288	318	3	:	:	PUNCT
cana-3288	318	4	if	if	SCONJ
cana-3288	318	5	we	we	PRON
cana-3288	318	6	use	use	VERB
cana-3288	318	7	such	such	DET
cana-3288	318	8	a	a	DET
cana-3288	318	9	sparse	sparse	ADJ
cana-3288	318	10	matrix	matrix	NOUN
cana-3288	318	11	for	for	ADP
cana-3288	318	12	key	key	ADJ
cana-3288	318	13	generation	generation	NOUN
cana-3288	318	14	,	,	PUNCT
cana-3288	318	15	the	the	DET
cana-3288	318	16	public	public	ADJ
cana-3288	318	17	key	key	ADJ
cana-3288	318	18	size	size	NOUN
cana-3288	318	19	is	be	AUX
cana-3288	318	20	drastically	drastically	ADV
cana-3288	318	21	reduced	reduce	VERB
cana-3288	318	22	compared	compare	VERB
cana-3288	318	23	to	to	ADP
cana-3288	318	24	a	a	DET
cana-3288	318	25	dense	dense	ADJ
cana-3288	318	26	matrix	matrix	NOUN
cana-3288	318	27	,	,	PUNCT
cana-3288	318	28	where	where	SCONJ
cana-3288	318	29	almost	almost	ADV
cana-3288	318	30	every	every	DET
cana-3288	318	31	entry	entry	NOUN
cana-3288	318	32	would	would	AUX
cana-3288	318	33	be	be	AUX
cana-3288	318	34	non	non	ADJ
cana-3288	318	35	-	-	ADJ
cana-3288	318	36	zero	zero	NUM
cana-3288	318	37	.	.	PUNCT
cana-3288	319	1	integration	integration	NOUN
cana-3288	319	2	of	of	ADP
cana-3288	319	3	ldpc	ldpc	NOUN
cana-3288	319	4	codes	code	NOUN
cana-3288	319	5	in	in	ADP
cana-3288	319	6	niederreiter	niederreiter	NOUN
cana-3288	319	7	let	let	VERB
cana-3288	319	8	’s	’s	PRON
cana-3288	319	9	now	now	ADV
cana-3288	319	10	see	see	VERB
cana-3288	319	11	how	how	SCONJ
cana-3288	319	12	the	the	DET
cana-3288	319	13	sparse	sparse	ADJ
cana-3288	319	14	ldpc	ldpc	NOUN
cana-3288	319	15	matrix	matrix	NOUN
cana-3288	319	16	can	can	AUX
cana-3288	319	17	be	be	AUX
cana-3288	319	18	integrated	integrate	VERB
cana-3288	319	19	into	into	ADP
cana-3288	319	20	the	the	DET
cana-3288	319	21	niederreiter	niederreiter	NOUN
cana-3288	319	22	cryptosystem	cryptosystem	NOUN
cana-3288	319	23	.	.	PUNCT
cana-3288	320	1	key	key	ADJ
cana-3288	320	2	generation	generation	NOUN
cana-3288	320	3	example	example	NOUN
cana-3288	320	4	with	with	ADP
cana-3288	320	5	ldpc	ldpc	NOUN
cana-3288	320	6	codes	code	NOUN
cana-3288	320	7	:	:	PUNCT
cana-3288	320	8	instead	instead	ADV
cana-3288	320	9	of	of	ADP
cana-3288	320	10	using	use	VERB
cana-3288	320	11	a	a	DET
cana-3288	320	12	dense	dense	ADJ
cana-3288	320	13	parity	parity	NOUN
cana-3288	320	14	-	-	PUNCT
cana-3288	320	15	check	check	NOUN
cana-3288	320	16	matrix	matrix	NOUN
cana-3288	320	17	,	,	PUNCT
cana-3288	320	18	the	the	DET
cana-3288	320	19	system	system	NOUN
cana-3288	320	20	uses	use	VERB
cana-3288	320	21	the	the	DET
cana-3288	320	22	sparse	sparse	ADJ
cana-3288	320	23	ldpc	ldpc	NOUN
cana-3288	320	24	matrix	matrix	NOUN
cana-3288	320	25	hldp	hldp	NOUN
cana-3288	320	26	c	c	PROPN
cana-3288	320	27	from	from	ADP
cana-3288	320	28	the	the	DET
cana-3288	320	29	previous	previous	ADJ
cana-3288	320	30	section	section	NOUN
cana-3288	320	31	.	.	PUNCT
cana-3288	321	1	apply	apply	VERB
cana-3288	321	2	a	a	DET
cana-3288	321	3	random	random	ADJ
cana-3288	321	4	permutation	permutation	NOUN
cana-3288	321	5	p	p	NOUN
cana-3288	321	6	to	to	ADP
cana-3288	321	7	the	the	DET
cana-3288	321	8	ldpc	ldpc	NOUN
cana-3288	321	9	matrix	matrix	NOUN
cana-3288	321	10	hldp	hldp	NOUN
cana-3288	321	11	c	c	NOUN
cana-3288	321	12	h′ldp	h′ldp	NOUN
cana-3288	321	13	c	c	NOUN
cana-3288	321	14	=	=	SYM
cana-3288	321	15	hldp	hldp	PROPN
cana-3288	321	16	c	c	PROPN
cana-3288	321	17	.p	.p	PROPN
cana-3288	321	18	this	this	DET
cana-3288	321	19	permuted	permuted	ADJ
cana-3288	321	20	matrix	matrix	NOUN
cana-3288	321	21	h′	h′	PROPN
cana-3288	321	22	ldp	ldp	PROPN
cana-3288	321	23	c	c	PROPN
cana-3288	321	24	becomes	become	VERB
cana-3288	321	25	the	the	DET
cana-3288	321	26	public	public	ADJ
cana-3288	321	27	key	key	NOUN
cana-3288	321	28	,	,	PUNCT
cana-3288	321	29	and	and	CCONJ
cana-3288	321	30	the	the	DET
cana-3288	321	31	private	private	ADJ
cana-3288	321	32	key	key	NOUN
cana-3288	321	33	is	be	AUX
cana-3288	321	34	(	(	PUNCT
cana-3288	321	35	hldpc	hldpc	NOUN
cana-3288	321	36	,	,	PUNCT
cana-3288	321	37	p	p	NOUN
cana-3288	321	38	)	)	PUNCT
cana-3288	321	39	.	.	PUNCT
cana-3288	322	1	encryption	encryption	NOUN
cana-3288	322	2	example	example	NOUN
cana-3288	322	3	with	with	ADP
cana-3288	322	4	ldpc	ldpc	NOUN
cana-3288	322	5	codes	code	NOUN
cana-3288	322	6	:	:	PUNCT
cana-3288	322	7	suppose	suppose	VERB
cana-3288	322	8	the	the	DET
cana-3288	322	9	error	error	NOUN
cana-3288	322	10	vector	vector	NOUN
cana-3288	322	11	e	e	X
cana-3288	322	12	∈	∈	PROPN
cana-3288	322	13	gf	gf	X
cana-3288	322	14	(	(	PUNCT
cana-3288	322	15	2)9	2)9	PROPN
cana-3288	322	16	is	be	AUX
cana-3288	322	17	e	e	NOUN
cana-3288	322	18	=	=	X
cana-3288	322	19	(	(	PUNCT
cana-3288	322	20	0	0	NUM
cana-3288	322	21	,	,	PUNCT
cana-3288	322	22	1	1	NUM
cana-3288	322	23	,	,	PUNCT
cana-3288	322	24	0	0	NUM
cana-3288	322	25	,	,	PUNCT
cana-3288	322	26	0	0	NUM
cana-3288	322	27	,	,	PUNCT
cana-3288	322	28	0	0	NUM
cana-3288	322	29	,	,	PUNCT
cana-3288	322	30	1	1	NUM
cana-3288	322	31	,	,	PUNCT
cana-3288	322	32	0	0	NUM
cana-3288	322	33	,	,	PUNCT
cana-3288	322	34	0	0	NUM
cana-3288	322	35	,	,	PUNCT
cana-3288	322	36	0	0	NUM
cana-3288	322	37	)	)	PUNCT
cana-3288	322	38	with	with	ADP
cana-3288	322	39	hamming	ham	VERB
cana-3288	322	40	weight	weight	NOUN
cana-3288	322	41	w	w	NOUN
cana-3288	322	42	=	=	SYM
cana-3288	322	43	2	2	X
cana-3288	322	44	.	.	X
cana-3288	322	45	compute	compute	VERB
cana-3288	322	46	the	the	DET
cana-3288	322	47	ciphertext	ciphertext	NOUN
cana-3288	322	48	:	:	PUNCT
cana-3288	322	49	c	c	X
cana-3288	322	50	=	=	SYM
cana-3288	322	51	e.h′ldp	e.h′ldp	PROPN
cana-3288	322	52	c	c	NOUN
cana-3288	322	53	communications	communication	NOUN
cana-3288	322	54	on	on	ADP
cana-3288	322	55	applied	apply	VERB
cana-3288	322	56	nonlinear	nonlinear	ADJ
cana-3288	322	57	analysis	analysis	NOUN
cana-3288	322	58	issn	issn	NOUN
cana-3288	322	59	:	:	PUNCT
cana-3288	322	60	1074	1074	NUM
cana-3288	322	61	-	-	PUNCT
cana-3288	322	62	133x	133x	NUM
cana-3288	322	63	vol	vol	NOUN
cana-3288	322	64	32	32	NUM
cana-3288	322	65	no	no	NOUN
cana-3288	322	66	.	.	PUNCT
cana-3288	323	1	6s	6s	NUM
cana-3288	323	2	(	(	PUNCT
cana-3288	323	3	2025	2025	NUM
cana-3288	323	4	)	)	PUNCT
cana-3288	323	5	233	233	NUM
cana-3288	323	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3288	323	7	due	due	ADP
cana-3288	323	8	to	to	ADP
cana-3288	323	9	the	the	DET
cana-3288	323	10	sparse	sparse	ADJ
cana-3288	323	11	nature	nature	NOUN
cana-3288	323	12	of	of	ADP
cana-3288	323	13	h′ldp	h′ldp	PROPN
cana-3288	323	14	c	c	PROPN
cana-3288	323	15	,	,	PUNCT
cana-3288	323	16	this	this	DET
cana-3288	323	17	multiplication	multiplication	NOUN
cana-3288	323	18	requires	require	VERB
cana-3288	323	19	far	far	ADV
cana-3288	323	20	fewer	few	ADJ
cana-3288	323	21	operations	operation	NOUN
cana-3288	323	22	than	than	ADP
cana-3288	323	23	with	with	ADP
cana-3288	323	24	a	a	DET
cana-3288	323	25	dense	dense	ADJ
cana-3288	323	26	matrix	matrix	NOUN
cana-3288	323	27	,	,	PUNCT
cana-3288	323	28	leading	lead	VERB
cana-3288	323	29	to	to	ADP
cana-3288	323	30	faster	fast	ADJ
cana-3288	323	31	encryption	encryption	NOUN
cana-3288	323	32	times	time	NOUN
cana-3288	323	33	.	.	PUNCT
cana-3288	324	1	decryption	decryption	NOUN
cana-3288	324	2	example	example	NOUN
cana-3288	324	3	with	with	ADP
cana-3288	324	4	ldpc	ldpc	NOUN
cana-3288	324	5	codes	code	NOUN
cana-3288	324	6	:	:	PUNCT
cana-3288	324	7	apply	apply	VERB
cana-3288	324	8	the	the	DET
cana-3288	324	9	inverse	inverse	NOUN
cana-3288	324	10	permutation	permutation	NOUN
cana-3288	324	11	p	p	X
cana-3288	324	12	−1	−1	NOUN
cana-3288	324	13	to	to	ADP
cana-3288	324	14	the	the	DET
cana-3288	324	15	ciphertext	ciphertext	NOUN
cana-3288	324	16	:	:	PUNCT
cana-3288	324	17	c′=	c′=	ADJ
cana-3288	324	18	c.p	c.p	PROPN
cana-3288	324	19	−1	−1	NOUN
cana-3288	324	20	use	use	VERB
cana-3288	324	21	an	an	DET
cana-3288	324	22	iterative	iterative	NOUN
cana-3288	324	23	decoding	decode	VERB
cana-3288	324	24	algorithm	algorithm	NOUN
cana-3288	324	25	,	,	PUNCT
cana-3288	324	26	such	such	ADJ
cana-3288	324	27	as	as	ADP
cana-3288	324	28	belief	belief	NOUN
cana-3288	324	29	propagation	propagation	NOUN
cana-3288	324	30	,	,	PUNCT
cana-3288	324	31	to	to	PART
cana-3288	324	32	recover	recover	VERB
cana-3288	324	33	the	the	DET
cana-3288	324	34	original	original	ADJ
cana-3288	324	35	error	error	NOUN
cana-3288	324	36	vector	vector	NOUN
cana-3288	324	37	e	e	NOUN
cana-3288	324	38	from	from	ADP
cana-3288	324	39	c′	c′	NOUN
cana-3288	324	40	based	base	VERB
cana-3288	324	41	on	on	ADP
cana-3288	324	42	the	the	DET
cana-3288	324	43	ldpc	ldpc	NOUN
cana-3288	324	44	parity	parity	NOUN
cana-3288	324	45	-	-	PUNCT
cana-3288	324	46	check	check	NOUN
cana-3288	324	47	matrix	matrix	NOUN
cana-3288	324	48	hldpc	hldpc	NOUN
cana-3288	324	49	.	.	PUNCT
cana-3288	325	1	the	the	DET
cana-3288	325	2	belief	belief	NOUN
cana-3288	325	3	propagation	propagation	NOUN
cana-3288	325	4	algorithm	algorithm	NOUN
cana-3288	325	5	exploits	exploit	VERB
cana-3288	325	6	the	the	DET
cana-3288	325	7	sparse	sparse	ADJ
cana-3288	325	8	structure	structure	NOUN
cana-3288	325	9	of	of	ADP
cana-3288	325	10	hldp	hldp	NOUN
cana-3288	325	11	c	c	PROPN
cana-3288	325	12	to	to	PART
cana-3288	325	13	iteratively	iteratively	ADV
cana-3288	325	14	correct	correct	VERB
cana-3288	325	15	the	the	DET
cana-3288	325	16	error	error	NOUN
cana-3288	325	17	and	and	CCONJ
cana-3288	325	18	recover	recover	VERB
cana-3288	325	19	e.	e.	PROPN
cana-3288	325	20	for	for	ADP
cana-3288	325	21	example	example	NOUN
cana-3288	325	22	,	,	PUNCT
cana-3288	325	23	using	use	VERB
cana-3288	325	24	the	the	DET
cana-3288	325	25	sparse	sparse	ADJ
cana-3288	325	26	matrix	matrix	NOUN
cana-3288	325	27	,	,	PUNCT
cana-3288	325	28	the	the	DET
cana-3288	325	29	belief	belief	NOUN
cana-3288	325	30	propagation	propagation	NOUN
cana-3288	325	31	algorithm	algorithm	NOUN
cana-3288	325	32	would	would	AUX
cana-3288	325	33	update	update	VERB
cana-3288	325	34	estimates	estimate	NOUN
cana-3288	325	35	of	of	ADP
cana-3288	325	36	the	the	DET
cana-3288	325	37	bits	bit	NOUN
cana-3288	325	38	in	in	ADP
cana-3288	325	39	the	the	DET
cana-3288	325	40	error	error	NOUN
cana-3288	325	41	vector	vector	NOUN
cana-3288	325	42	based	base	VERB
cana-3288	325	43	on	on	ADP
cana-3288	325	44	the	the	DET
cana-3288	325	45	non	non	ADJ
cana-3288	325	46	-	-	ADJ
cana-3288	325	47	zero	zero	NUM
cana-3288	325	48	positions	position	NOUN
cana-3288	325	49	in	in	ADP
cana-3288	325	50	each	each	DET
cana-3288	325	51	row	row	NOUN
cana-3288	325	52	of	of	ADP
cana-3288	325	53	hldp	hldp	NOUN
cana-3288	325	54	c	c	NOUN
cana-3288	325	55	,	,	PUNCT
cana-3288	325	56	gradually	gradually	ADV
cana-3288	325	57	converging	converge	VERB
cana-3288	325	58	on	on	ADP
cana-3288	325	59	the	the	DET
cana-3288	325	60	correct	correct	ADJ
cana-3288	325	61	error	error	NOUN
cana-3288	325	62	vector	vector	NOUN
cana-3288	325	63	e.	e.	PROPN
cana-3288	325	64	3	3	PROPN
cana-3288	325	65	mathematical	mathematical	ADJ
cana-3288	325	66	benefits	benefit	NOUN
cana-3288	325	67	of	of	ADP
cana-3288	325	68	ldpc	ldpc	NOUN
cana-3288	325	69	integration	integration	NOUN
cana-3288	325	70	key	key	ADJ
cana-3288	325	71	size	size	NOUN
cana-3288	325	72	reduction	reduction	NOUN
cana-3288	325	73	:	:	PUNCT
cana-3288	325	74	in	in	ADP
cana-3288	325	75	the	the	DET
cana-3288	325	76	standard	standard	ADJ
cana-3288	325	77	niederreiter	niederreiter	NOUN
cana-3288	325	78	system	system	NOUN
cana-3288	325	79	,	,	PUNCT
cana-3288	325	80	the	the	DET
cana-3288	325	81	public	public	ADJ
cana-3288	325	82	key	key	NOUN
cana-3288	325	83	is	be	AUX
cana-3288	325	84	the	the	DET
cana-3288	325	85	parity	parity	NOUN
cana-3288	325	86	-	-	PUNCT
cana-3288	325	87	check	check	NOUN
cana-3288	325	88	matrix	matrix	NOUN
cana-3288	325	89	h′.	h′.	PROPN
cana-3288	325	90	for	for	ADP
cana-3288	325	91	a	a	DET
cana-3288	325	92	dense	dense	ADJ
cana-3288	325	93	matrix	matrix	NOUN
cana-3288	325	94	,	,	PUNCT
cana-3288	325	95	the	the	DET
cana-3288	325	96	key	key	ADJ
cana-3288	325	97	size	size	NOUN
cana-3288	325	98	is	be	AUX
cana-3288	325	99	proportional	proportional	ADJ
cana-3288	325	100	to	to	ADP
cana-3288	325	101	the	the	DET
cana-3288	325	102	total	total	ADJ
cana-3288	325	103	number	number	NOUN
cana-3288	325	104	of	of	ADP
cana-3288	325	105	entries	entry	NOUN
cana-3288	325	106	r	r	NOUN
cana-3288	325	107	×	×	NOUN
cana-3288	325	108	n	n	CCONJ
cana-3288	325	109	,	,	PUNCT
cana-3288	325	110	which	which	PRON
cana-3288	325	111	can	can	AUX
cana-3288	325	112	be	be	AUX
cana-3288	325	113	large	large	ADJ
cana-3288	325	114	.	.	PUNCT
cana-3288	326	1	in	in	ADP
cana-3288	326	2	contrast	contrast	NOUN
cana-3288	326	3	,	,	PUNCT
cana-3288	326	4	for	for	ADP
cana-3288	326	5	an	an	DET
cana-3288	326	6	ldpc	ldpc	NOUN
cana-3288	326	7	matrix	matrix	NOUN
cana-3288	326	8	with	with	ADP
cana-3288	326	9	a	a	DET
cana-3288	326	10	small	small	ADJ
cana-3288	326	11	number	number	NOUN
cana-3288	326	12	of	of	ADP
cana-3288	326	13	non	non	ADJ
cana-3288	326	14	-	-	ADJ
cana-3288	326	15	zero	zero	NUM
cana-3288	326	16	elements	element	NOUN
cana-3288	326	17	(	(	PUNCT
cana-3288	326	18	say	say	INTJ
cana-3288	326	19	10	10	NUM
cana-3288	326	20	%	%	NOUN
cana-3288	326	21	of	of	ADP
cana-3288	326	22	the	the	DET
cana-3288	326	23	entries	entry	NOUN
cana-3288	326	24	are	be	AUX
cana-3288	326	25	non	non	ADJ
cana-3288	326	26	-	-	ADJ
cana-3288	326	27	zero	zero	NUM
cana-3288	326	28	)	)	PUNCT
cana-3288	326	29	,	,	PUNCT
cana-3288	326	30	the	the	DET
cana-3288	326	31	key	key	ADJ
cana-3288	326	32	size	size	NOUN
cana-3288	326	33	is	be	AUX
cana-3288	326	34	significantly	significantly	ADV
cana-3288	326	35	smaller	small	ADJ
cana-3288	326	36	.	.	PUNCT
cana-3288	327	1	for	for	ADP
cana-3288	327	2	example	example	NOUN
cana-3288	327	3	,	,	PUNCT
cana-3288	327	4	if	if	SCONJ
cana-3288	327	5	h′	h′	PROPN
cana-3288	327	6	is	be	AUX
cana-3288	327	7	a	a	DET
cana-3288	327	8	1000	1000	NUM
cana-3288	327	9	×	×	NOUN
cana-3288	327	10	2000	2000	NUM
cana-3288	327	11	matrix	matrix	NOUN
cana-3288	327	12	,	,	PUNCT
cana-3288	327	13	the	the	DET
cana-3288	327	14	dense	dense	ADJ
cana-3288	327	15	version	version	NOUN
cana-3288	327	16	would	would	AUX
cana-3288	327	17	require	require	VERB
cana-3288	327	18	2,000,000	2,000,000	NUM
cana-3288	327	19	bits	bit	NOUN
cana-3288	327	20	,	,	PUNCT
cana-3288	327	21	while	while	SCONJ
cana-3288	327	22	an	an	DET
cana-3288	327	23	ldpc	ldpc	NOUN
cana-3288	327	24	version	version	NOUN
cana-3288	327	25	with	with	ADP
cana-3288	327	26	only	only	ADV
cana-3288	327	27	10	10	NUM
cana-3288	327	28	%	%	NOUN
cana-3288	327	29	non	non	ADJ
cana-3288	327	30	-	-	ADJ
cana-3288	327	31	zero	zero	NUM
cana-3288	327	32	entries	entry	NOUN
cana-3288	327	33	would	would	AUX
cana-3288	327	34	require	require	VERB
cana-3288	327	35	just	just	ADV
cana-3288	327	36	200,000	200,000	NUM
cana-3288	327	37	bits	bit	NOUN
cana-3288	327	38	.	.	PUNCT
cana-3288	328	1	efficient	efficient	ADJ
cana-3288	328	2	decoding	decoding	NOUN
cana-3288	328	3	:	:	PUNCT
cana-3288	328	4	ldpc	ldpc	NOUN
cana-3288	328	5	codes	code	NOUN
cana-3288	328	6	allow	allow	VERB
cana-3288	328	7	for	for	ADP
cana-3288	328	8	iterative	iterative	NOUN
cana-3288	328	9	decoding	decode	VERB
cana-3288	328	10	with	with	ADP
cana-3288	328	11	complexity	complexity	NOUN
cana-3288	328	12	proportional	proportional	NOUN
cana-3288	328	13	to	to	ADP
cana-3288	328	14	the	the	DET
cana-3288	328	15	number	number	NOUN
cana-3288	328	16	of	of	ADP
cana-3288	328	17	non	non	ADJ
cana-3288	328	18	-	-	ADJ
cana-3288	328	19	zero	zero	NUM
cana-3288	328	20	entries	entry	NOUN
cana-3288	328	21	in	in	ADP
cana-3288	328	22	the	the	DET
cana-3288	328	23	matrix	matrix	NOUN
cana-3288	328	24	.	.	PUNCT
cana-3288	329	1	for	for	ADP
cana-3288	329	2	example	example	NOUN
cana-3288	329	3	,	,	PUNCT
cana-3288	329	4	in	in	ADP
cana-3288	329	5	a	a	DET
cana-3288	329	6	dense	dense	ADJ
cana-3288	329	7	matrix	matrix	NOUN
cana-3288	329	8	with	with	ADP
cana-3288	329	9	1,000,000	1,000,000	NUM
cana-3288	329	10	entries	entry	NOUN
cana-3288	329	11	,	,	PUNCT
cana-3288	329	12	each	each	DET
cana-3288	329	13	decoding	decode	VERB
cana-3288	329	14	step	step	NOUN
cana-3288	329	15	would	would	AUX
cana-3288	329	16	involve	involve	VERB
cana-3288	329	17	a	a	DET
cana-3288	329	18	large	large	ADJ
cana-3288	329	19	number	number	NOUN
cana-3288	329	20	of	of	ADP
cana-3288	329	21	operations	operation	NOUN
cana-3288	329	22	.	.	PUNCT
cana-3288	330	1	in	in	ADP
cana-3288	330	2	contrast	contrast	NOUN
cana-3288	330	3	,	,	PUNCT
cana-3288	330	4	for	for	ADP
cana-3288	330	5	an	an	DET
cana-3288	330	6	ldpc	ldpc	NOUN
cana-3288	330	7	matrix	matrix	NOUN
cana-3288	330	8	with	with	ADP
cana-3288	330	9	only	only	ADV
cana-3288	330	10	10,000	10,000	NUM
cana-3288	330	11	non	non	ADJ
cana-3288	330	12	-	-	ADJ
cana-3288	330	13	zero	zero	NUM
cana-3288	330	14	entries	entry	NOUN
cana-3288	330	15	,	,	PUNCT
cana-3288	330	16	each	each	DET
cana-3288	330	17	decoding	decode	VERB
cana-3288	330	18	step	step	NOUN
cana-3288	330	19	is	be	AUX
cana-3288	330	20	much	much	ADV
cana-3288	330	21	faster	fast	ADV
cana-3288	330	22	,	,	PUNCT
cana-3288	330	23	making	make	VERB
cana-3288	330	24	the	the	DET
cana-3288	330	25	system	system	NOUN
cana-3288	330	26	more	more	ADV
cana-3288	330	27	practical	practical	ADJ
cana-3288	330	28	for	for	ADP
cana-3288	330	29	real	real	ADJ
cana-3288	330	30	-	-	PUNCT
cana-3288	330	31	time	time	NOUN
cana-3288	330	32	applications	application	NOUN
cana-3288	330	33	like	like	ADP
cana-3288	330	34	iot	iot	NOUN
cana-3288	330	35	.	.	PUNCT
cana-3288	331	1	by	by	ADP
cana-3288	331	2	incorporating	incorporate	VERB
cana-3288	331	3	ldpc	ldpc	NOUN
cana-3288	331	4	codes	code	NOUN
cana-3288	331	5	into	into	ADP
cana-3288	331	6	the	the	DET
cana-3288	331	7	niederreiter	niederreiter	NOUN
cana-3288	331	8	cryptosystem	cryptosystem	NOUN
cana-3288	331	9	,	,	PUNCT
cana-3288	331	10	we	we	PRON
cana-3288	331	11	achieve	achieve	VERB
cana-3288	331	12	the	the	DET
cana-3288	331	13	following	following	ADJ
cana-3288	331	14	advantages	advantage	NOUN
cana-3288	331	15	:	:	PUNCT
cana-3288	331	16	•	•	NUM
cana-3288	331	17	key	key	ADJ
cana-3288	331	18	size	size	NOUN
cana-3288	331	19	reduction	reduction	NOUN
cana-3288	331	20	:	:	PUNCT
cana-3288	331	21	the	the	DET
cana-3288	331	22	sparsity	sparsity	NOUN
cana-3288	331	23	of	of	ADP
cana-3288	331	24	ldpc	ldpc	NOUN
cana-3288	331	25	matrices	matrix	NOUN
cana-3288	331	26	reduces	reduce	VERB
cana-3288	331	27	the	the	DET
cana-3288	331	28	size	size	NOUN
cana-3288	331	29	of	of	ADP
cana-3288	331	30	the	the	DET
cana-3288	331	31	public	public	ADJ
cana-3288	331	32	key	key	NOUN
cana-3288	331	33	significantly	significantly	ADV
cana-3288	331	34	,	,	PUNCT
cana-3288	331	35	making	make	VERB
cana-3288	331	36	the	the	DET
cana-3288	331	37	cryptosystem	cryptosystem	NOUN
cana-3288	331	38	more	more	ADV
cana-3288	331	39	efficient	efficient	ADJ
cana-3288	331	40	in	in	ADP
cana-3288	331	41	terms	term	NOUN
cana-3288	331	42	of	of	ADP
cana-3288	331	43	storage	storage	NOUN
cana-3288	331	44	and	and	CCONJ
cana-3288	331	45	transmission	transmission	NOUN
cana-3288	331	46	,	,	PUNCT
cana-3288	331	47	which	which	PRON
cana-3288	331	48	is	be	AUX
cana-3288	331	49	critical	critical	ADJ
cana-3288	331	50	for	for	ADP
cana-3288	331	51	resource	resource	NOUN
cana-3288	331	52	-	-	PUNCT
cana-3288	331	53	constrained	constrain	VERB
cana-3288	331	54	environments	environment	NOUN
cana-3288	331	55	.	.	PUNCT
cana-3288	332	1	•	•	NUM
cana-3288	332	2	improved	improved	ADJ
cana-3288	332	3	decoding	decode	VERB
cana-3288	332	4	efficiency	efficiency	NOUN
cana-3288	332	5	:	:	PUNCT
cana-3288	332	6	ldpc	ldpc	NOUN
cana-3288	332	7	codes	code	NOUN
cana-3288	332	8	use	use	VERB
cana-3288	332	9	fast	fast	ADJ
cana-3288	332	10	iterative	iterative	NOUN
cana-3288	332	11	decoding	decode	VERB
cana-3288	332	12	algorithms	algorithm	NOUN
cana-3288	332	13	,	,	PUNCT
cana-3288	332	14	reducing	reduce	VERB
cana-3288	332	15	the	the	DET
cana-3288	332	16	computational	computational	ADJ
cana-3288	332	17	load	load	NOUN
cana-3288	332	18	during	during	ADP
cana-3288	332	19	decryption	decryption	NOUN
cana-3288	332	20	,	,	PUNCT
cana-3288	332	21	which	which	PRON
cana-3288	332	22	is	be	AUX
cana-3288	332	23	particularly	particularly	ADV
cana-3288	332	24	beneficial	beneficial	ADJ
cana-3288	332	25	for	for	ADP
cana-3288	332	26	devices	device	NOUN
cana-3288	332	27	with	with	ADP
cana-3288	332	28	limited	limited	ADJ
cana-3288	332	29	processing	processing	NOUN
cana-3288	332	30	power	power	NOUN
cana-3288	332	31	,	,	PUNCT
cana-3288	332	32	such	such	ADJ
cana-3288	332	33	as	as	ADP
cana-3288	332	34	those	those	PRON
cana-3288	332	35	in	in	ADP
cana-3288	332	36	iot	iot	NOUN
cana-3288	332	37	systems	system	NOUN
cana-3288	332	38	.	.	PUNCT
cana-3288	333	1	in	in	ADP
cana-3288	333	2	these	these	DET
cana-3288	333	3	examples	example	NOUN
cana-3288	333	4	,	,	PUNCT
cana-3288	333	5	we	we	PRON
cana-3288	333	6	’ve	’ve	AUX
cana-3288	333	7	demonstrated	demonstrate	VERB
cana-3288	333	8	how	how	SCONJ
cana-3288	333	9	replacing	replace	VERB
cana-3288	333	10	dense	dense	ADJ
cana-3288	333	11	parity	parity	NOUN
cana-3288	333	12	-	-	PUNCT
cana-3288	333	13	check	check	NOUN
cana-3288	333	14	matrices	matrix	NOUN
cana-3288	333	15	with	with	ADP
cana-3288	333	16	ldpc	ldpc	NOUN
cana-3288	333	17	matrices	matrix	NOUN
cana-3288	333	18	enhances	enhance	VERB
cana-3288	333	19	both	both	CCONJ
cana-3288	333	20	the	the	DET
cana-3288	333	21	efficiency	efficiency	NOUN
cana-3288	333	22	and	and	CCONJ
cana-3288	333	23	scalability	scalability	NOUN
cana-3288	333	24	of	of	ADP
cana-3288	333	25	the	the	DET
cana-3288	333	26	niederreiter	niederreiter	ADJ
cana-3288	333	27	cryptosystem	cryptosystem	NOUN
cana-3288	333	28	without	without	ADP
cana-3288	333	29	compromising	compromise	VERB
cana-3288	333	30	its	its	PRON
cana-3288	333	31	quantum	quantum	ADJ
cana-3288	333	32	resistance	resistance	NOUN
cana-3288	333	33	.	.	PUNCT
cana-3288	334	1	here	here	ADV
cana-3288	334	2	’s	’	VERB
cana-3288	334	3	a	a	DET
cana-3288	334	4	comparative	comparative	ADJ
cana-3288	334	5	table[tab:3	table[tab:3	NOUN
cana-3288	334	6	]	]	PUNCT
cana-3288	334	7	that	that	PRON
cana-3288	334	8	outlines	outline	VERB
cana-3288	334	9	the	the	DET
cana-3288	334	10	benefits	benefit	NOUN
cana-3288	334	11	of	of	ADP
cana-3288	334	12	integrating	integrate	VERB
cana-3288	334	13	ldpc	ldpc	NOUN
cana-3288	334	14	codes	code	NOUN
cana-3288	334	15	into	into	ADP
cana-3288	334	16	the	the	DET
cana-3288	334	17	niederreiter	niederreiter	NOUN
cana-3288	334	18	cryptosystem	cryptosystem	NOUN
cana-3288	334	19	in	in	ADP
cana-3288	334	20	terms	term	NOUN
cana-3288	334	21	of	of	ADP
cana-3288	334	22	key	key	ADJ
cana-3288	334	23	size	size	NOUN
cana-3288	334	24	,	,	PUNCT
cana-3288	334	25	decoding	decode	VERB
cana-3288	334	26	efficiency	efficiency	NOUN
cana-3288	334	27	,	,	PUNCT
cana-3288	334	28	and	and	CCONJ
cana-3288	334	29	suitability	suitability	NOUN
cana-3288	334	30	for	for	ADP
cana-3288	334	31	iot	iot	ADJ
cana-3288	334	32	and	and	CCONJ
cana-3288	334	33	large	large	ADJ
cana-3288	334	34	-	-	PUNCT
cana-3288	334	35	scale	scale	NOUN
cana-3288	334	36	applications	application	NOUN
cana-3288	334	37	.	.	PUNCT
cana-3288	335	1	communications	communication	NOUN
cana-3288	335	2	on	on	ADP
cana-3288	335	3	applied	apply	VERB
cana-3288	335	4	nonlinear	nonlinear	ADJ
cana-3288	335	5	analysis	analysis	NOUN
cana-3288	335	6	issn	issn	NOUN
cana-3288	335	7	:	:	PUNCT
cana-3288	335	8	1074	1074	NUM
cana-3288	335	9	-	-	PUNCT
cana-3288	335	10	133x	133x	NUM
cana-3288	335	11	vol	vol	NOUN
cana-3288	335	12	32	32	NUM
cana-3288	335	13	no	no	NOUN
cana-3288	335	14	.	.	PUNCT
cana-3288	336	1	6s	6s	NUM
cana-3288	336	2	(	(	PUNCT
cana-3288	336	3	2025	2025	NUM
cana-3288	336	4	)	)	PUNCT
cana-3288	336	5	234	234	NUM
cana-3288	336	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3288	336	7	table	table	NOUN
cana-3288	336	8	:3	:3	SYM
cana-3288	336	9	3.0.1	3.0.1	NUM
cana-3288	336	10	summary	summary	NOUN
cana-3288	336	11	of	of	ADP
cana-3288	336	12	key	key	ADJ
cana-3288	336	13	benefits	benefit	NOUN
cana-3288	336	14	:	:	PUNCT
cana-3288	336	15	1	1	X
cana-3288	336	16	.	.	PUNCT
cana-3288	336	17	key	key	ADJ
cana-3288	336	18	size	size	NOUN
cana-3288	336	19	reduction	reduction	NOUN
cana-3288	336	20	:	:	PUNCT
cana-3288	336	21	using	use	VERB
cana-3288	336	22	ldpc	ldpc	NOUN
cana-3288	336	23	codes	code	NOUN
cana-3288	336	24	allows	allow	VERB
cana-3288	336	25	for	for	ADP
cana-3288	336	26	a	a	DET
cana-3288	336	27	significant	significant	ADJ
cana-3288	336	28	reduction	reduction	NOUN
cana-3288	336	29	in	in	ADP
cana-3288	336	30	public	public	ADJ
cana-3288	336	31	and	and	CCONJ
cana-3288	336	32	private	private	ADJ
cana-3288	336	33	key	key	ADJ
cana-3288	336	34	sizes	size	NOUN
cana-3288	336	35	,	,	PUNCT
cana-3288	336	36	making	make	VERB
cana-3288	336	37	the	the	DET
cana-3288	336	38	system	system	NOUN
cana-3288	336	39	more	more	ADV
cana-3288	336	40	efficient	efficient	ADJ
cana-3288	336	41	for	for	ADP
cana-3288	336	42	environments	environment	NOUN
cana-3288	336	43	where	where	SCONJ
cana-3288	336	44	storage	storage	NOUN
cana-3288	336	45	and	and	CCONJ
cana-3288	336	46	communication	communication	NOUN
cana-3288	336	47	bandwidth	bandwidth	NOUN
cana-3288	336	48	are	be	AUX
cana-3288	336	49	limited	limited	ADJ
cana-3288	336	50	.	.	PUNCT
cana-3288	337	1	2	2	X
cana-3288	337	2	.	.	NUM
cana-3288	337	3	improved	improve	VERB
cana-3288	337	4	decoding	decode	VERB
cana-3288	337	5	efficiency	efficiency	NOUN
cana-3288	337	6	:	:	PUNCT
cana-3288	337	7	ldpc	ldpc	PROPN
cana-3288	337	8	’s	’s	PART
cana-3288	337	9	belief	belief	NOUN
cana-3288	337	10	propagation	propagation	NOUN
cana-3288	337	11	decoding	decode	VERB
cana-3288	337	12	algorithm	algorithm	NOUN
cana-3288	337	13	greatly	greatly	ADV
cana-3288	337	14	enhances	enhance	VERB
cana-3288	337	15	the	the	DET
cana-3288	337	16	speed	speed	NOUN
cana-3288	337	17	and	and	CCONJ
cana-3288	337	18	resource	resource	NOUN
cana-3288	337	19	efficiency	efficiency	NOUN
cana-3288	337	20	of	of	ADP
cana-3288	337	21	decryption	decryption	NOUN
cana-3288	337	22	,	,	PUNCT
cana-3288	337	23	making	make	VERB
cana-3288	337	24	it	it	PRON
cana-3288	337	25	feasible	feasible	ADJ
cana-3288	337	26	for	for	ADP
cana-3288	337	27	real	real	ADJ
cana-3288	337	28	-	-	PUNCT
cana-3288	337	29	time	time	NOUN
cana-3288	337	30	and	and	CCONJ
cana-3288	337	31	low	low	ADJ
cana-3288	337	32	-	-	PUNCT
cana-3288	337	33	power	power	NOUN
cana-3288	337	34	applications	application	NOUN
cana-3288	337	35	.	.	PUNCT
cana-3288	338	1	3	3	X
cana-3288	338	2	.	.	X
cana-3288	338	3	quantum	quantum	ADJ
cana-3288	338	4	resistance	resistance	NOUN
cana-3288	338	5	:	:	PUNCT
cana-3288	338	6	the	the	DET
cana-3288	338	7	system	system	NOUN
cana-3288	338	8	retains	retain	VERB
cana-3288	338	9	strong	strong	ADJ
cana-3288	338	10	post	post	ADJ
cana-3288	338	11	-	-	ADJ
cana-3288	338	12	quantum	quantum	ADJ
cana-3288	338	13	security	security	NOUN
cana-3288	338	14	properties	property	NOUN
cana-3288	338	15	,	,	PUNCT
cana-3288	338	16	ensuring	ensure	VERB
cana-3288	338	17	robustness	robustness	NOUN
cana-3288	338	18	against	against	ADP
cana-3288	338	19	future	future	ADJ
cana-3288	338	20	quantum	quantum	NOUN
cana-3288	338	21	attacks	attack	NOUN
cana-3288	338	22	.	.	PUNCT
cana-3288	339	1	communications	communication	NOUN
cana-3288	339	2	on	on	ADP
cana-3288	339	3	applied	apply	VERB
cana-3288	339	4	nonlinear	nonlinear	ADJ
cana-3288	339	5	analysis	analysis	NOUN
cana-3288	339	6	issn	issn	NOUN
cana-3288	339	7	:	:	PUNCT
cana-3288	339	8	1074	1074	NUM
cana-3288	339	9	-	-	PUNCT
cana-3288	339	10	133x	133x	NUM
cana-3288	339	11	vol	vol	NOUN
cana-3288	339	12	32	32	NUM
cana-3288	339	13	no	no	NOUN
cana-3288	339	14	.	.	PUNCT
cana-3288	340	1	6s	6s	NUM
cana-3288	340	2	(	(	PUNCT
cana-3288	340	3	2025	2025	NUM
cana-3288	340	4	)	)	PUNCT
cana-3288	340	5	235	235	NUM
cana-3288	340	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3288	340	7	4	4	NUM
cana-3288	340	8	.	.	X
cana-3288	341	1	suitability	suitability	NOUN
cana-3288	341	2	for	for	ADP
cana-3288	341	3	iot	iot	NOUN
cana-3288	341	4	:	:	PUNCT
cana-3288	341	5	reduced	reduce	VERB
cana-3288	341	6	key	key	ADJ
cana-3288	341	7	size	size	NOUN
cana-3288	341	8	,	,	PUNCT
cana-3288	341	9	efficient	efficient	ADJ
cana-3288	341	10	decoding	decoding	NOUN
cana-3288	341	11	,	,	PUNCT
cana-3288	341	12	and	and	CCONJ
cana-3288	341	13	lower	low	ADJ
cana-3288	341	14	computational	computational	ADJ
cana-3288	341	15	requirements	requirement	NOUN
cana-3288	341	16	make	make	VERB
cana-3288	341	17	the	the	DET
cana-3288	341	18	ldpc	ldpc	NOUN
cana-3288	341	19	-	-	PUNCT
cana-3288	341	20	enhanced	enhance	VERB
cana-3288	341	21	niederreiter	niederreiter	NOUN
cana-3288	341	22	cryptosystem	cryptosystem	PROPN
cana-3288	341	23	ideal	ideal	NOUN
cana-3288	341	24	for	for	ADP
cana-3288	341	25	iot	iot	PROPN
cana-3288	341	26	devices	device	NOUN
cana-3288	341	27	and	and	CCONJ
cana-3288	341	28	large	large	ADJ
cana-3288	341	29	-	-	PUNCT
cana-3288	341	30	scale	scale	NOUN
cana-3288	341	31	communication	communication	NOUN
cana-3288	341	32	networks	network	NOUN
cana-3288	341	33	.	.	PUNCT
cana-3288	342	1	this	this	DET
cana-3288	342	2	table	table	NOUN
cana-3288	342	3	provides	provide	VERB
cana-3288	342	4	a	a	DET
cana-3288	342	5	clear	clear	ADJ
cana-3288	342	6	comparison	comparison	NOUN
cana-3288	342	7	,	,	PUNCT
cana-3288	342	8	demonstrating	demonstrate	VERB
cana-3288	342	9	the	the	DET
cana-3288	342	10	advantages	advantage	NOUN
cana-3288	342	11	of	of	ADP
cana-3288	342	12	integrating	integrate	VERB
cana-3288	342	13	ldpc	ldpc	NOUN
cana-3288	342	14	codes	code	NOUN
cana-3288	342	15	into	into	ADP
cana-3288	342	16	the	the	DET
cana-3288	342	17	niederreiter	niederreiter	NOUN
cana-3288	342	18	cryptosystem	cryptosystem	NOUN
cana-3288	342	19	1	1	NUM
cana-3288	342	20	.	.	PUNCT
cana-3288	342	21	key	key	ADJ
cana-3288	342	22	size	size	NOUN
cana-3288	342	23	reduction	reduction	NOUN
cana-3288	342	24	:	:	PUNCT
cana-3288	342	25	evidence	evidence	NOUN
cana-3288	342	26	:	:	PUNCT
cana-3288	342	27	•	•	NUM
cana-3288	342	28	standard	standard	ADJ
cana-3288	342	29	niederreiter	niederreiter	PROPN
cana-3288	342	30	cryptosystem	cryptosystem	NOUN
cana-3288	342	31	:	:	PUNCT
cana-3288	342	32	typically	typically	ADV
cana-3288	342	33	,	,	PUNCT
cana-3288	342	34	public	public	ADJ
cana-3288	342	35	key	key	ADJ
cana-3288	342	36	sizes	size	NOUN
cana-3288	342	37	can	can	AUX
cana-3288	342	38	range	range	VERB
cana-3288	342	39	from	from	ADP
cana-3288	342	40	50	50	NUM
cana-3288	342	41	kb	kb	NOUN
cana-3288	342	42	to	to	ADP
cana-3288	342	43	several	several	ADJ
cana-3288	342	44	mb	mb	NOUN
cana-3288	342	45	,	,	PUNCT
cana-3288	342	46	depending	depend	VERB
cana-3288	342	47	on	on	ADP
cana-3288	342	48	the	the	DET
cana-3288	342	49	chosen	choose	VERB
cana-3288	342	50	parameters	parameter	NOUN
cana-3288	342	51	(	(	PUNCT
cana-3288	342	52	e.g.	e.g.	ADV
cana-3288	342	53	,gf	,gf	PUNCT
cana-3288	342	54	(	(	PUNCT
cana-3288	342	55	2n	2n	NUM
cana-3288	342	56	)	)	PUNCT
cana-3288	342	57	and	and	CCONJ
cana-3288	342	58	the	the	DET
cana-3288	342	59	error	error	NOUN
cana-3288	342	60	-	-	PUNCT
cana-3288	342	61	correcting	correct	VERB
cana-3288	342	62	code	code	NOUN
cana-3288	342	63	used	use	VERB
cana-3288	342	64	)	)	PUNCT
cana-3288	342	65	.	.	PUNCT
cana-3288	343	1	•	•	NOUN
cana-3288	343	2	ldpcenhanced	ldpcenhance	VERB
cana-3288	343	3	niederreiter	niederreiter	ADV
cana-3288	343	4	cryptosystem	cryptosystem	NOUN
cana-3288	343	5	:	:	PUNCT
cana-3288	343	6	due	due	ADP
cana-3288	343	7	to	to	ADP
cana-3288	343	8	the	the	DET
cana-3288	343	9	sparse	sparse	ADJ
cana-3288	343	10	nature	nature	NOUN
cana-3288	343	11	of	of	ADP
cana-3288	343	12	ldpc	ldpc	NOUN
cana-3288	343	13	matrices	matrix	NOUN
cana-3288	343	14	,	,	PUNCT
cana-3288	343	15	key	key	ADJ
cana-3288	343	16	sizes	size	NOUN
cana-3288	343	17	can	can	AUX
cana-3288	343	18	be	be	AUX
cana-3288	343	19	reduced	reduce	VERB
cana-3288	343	20	by	by	ADP
cana-3288	343	21	up	up	ADP
cana-3288	343	22	to	to	PART
cana-3288	343	23	90	90	NUM
cana-3288	343	24	%	%	NOUN
cana-3288	343	25	,	,	PUNCT
cana-3288	343	26	depending	depend	VERB
cana-3288	343	27	on	on	ADP
cana-3288	343	28	the	the	DET
cana-3288	343	29	matrix	matrix	NOUN
cana-3288	343	30	sparsity	sparsity	NOUN
cana-3288	343	31	and	and	CCONJ
cana-3288	343	32	code	code	NOUN
cana-3288	343	33	design	design	NOUN
cana-3288	343	34	.	.	PUNCT
cana-3288	344	1	for	for	ADP
cana-3288	344	2	example	example	NOUN
cana-3288	344	3	,	,	PUNCT
cana-3288	344	4	ldpc	ldpc	NOUN
cana-3288	344	5	codes	code	NOUN
cana-3288	344	6	allow	allow	VERB
cana-3288	344	7	for	for	ADP
cana-3288	344	8	public	public	ADJ
cana-3288	344	9	key	key	ADJ
cana-3288	344	10	sizes	size	NOUN
cana-3288	344	11	as	as	ADV
cana-3288	344	12	low	low	ADJ
cana-3288	344	13	as	as	ADP
cana-3288	344	14	10	10	NUM
cana-3288	344	15	kb	kb	NOUN
cana-3288	344	16	in	in	ADP
cana-3288	344	17	certain	certain	ADJ
cana-3288	344	18	configurations	configuration	NOUN
cana-3288	344	19	,	,	PUNCT
cana-3288	344	20	without	without	ADP
cana-3288	344	21	sacrificing	sacrifice	VERB
cana-3288	344	22	error	error	NOUN
cana-3288	344	23	-	-	PUNCT
cana-3288	344	24	correcting	correct	VERB
cana-3288	344	25	performance	performance	NOUN
cana-3288	344	26	.	.	PUNCT
cana-3288	345	1	experimental	experimental	ADJ
cana-3288	345	2	support	support	NOUN
cana-3288	345	3	:	:	PUNCT
cana-3288	345	4	in	in	ADP
cana-3288	345	5	cryptographic	cryptographic	ADJ
cana-3288	345	6	implementations	implementation	NOUN
cana-3288	345	7	using	use	VERB
cana-3288	345	8	ldpc	ldpc	NOUN
cana-3288	345	9	codes	code	NOUN
cana-3288	345	10	,	,	PUNCT
cana-3288	345	11	researchers	researcher	NOUN
cana-3288	345	12	have	have	AUX
cana-3288	345	13	demonstrated	demonstrate	VERB
cana-3288	345	14	significant	significant	ADJ
cana-3288	345	15	key	key	ADJ
cana-3288	345	16	size	size	NOUN
cana-3288	345	17	reductions	reduction	NOUN
cana-3288	345	18	.	.	PUNCT
cana-3288	346	1	in	in	ADP
cana-3288	346	2	particular	particular	ADJ
cana-3288	346	3	,	,	PUNCT
cana-3288	346	4	the	the	DET
cana-3288	346	5	study	study	NOUN
cana-3288	346	6	by	by	ADP
cana-3288	346	7	misoczki	misoczki	PROPN
cana-3288	346	8	et	et	PROPN
cana-3288	346	9	al	al	PROPN
cana-3288	346	10	.	.	PROPN
cana-3288	347	1	(	(	PUNCT
cana-3288	347	2	2013	2013	NUM
cana-3288	347	3	)	)	PUNCT
cana-3288	347	4	on	on	ADP
cana-3288	347	5	using	use	VERB
cana-3288	347	6	ldpc	ldpc	NOUN
cana-3288	347	7	codes	code	NOUN
cana-3288	347	8	for	for	ADP
cana-3288	347	9	the	the	DET
cana-3288	347	10	mceliece	mceliece	NOUN
cana-3288	347	11	and	and	CCONJ
cana-3288	347	12	niederreiter	niederreiter	ADJ
cana-3288	347	13	variants	variant	NOUN
cana-3288	347	14	shows	show	VERB
cana-3288	347	15	a	a	DET
cana-3288	347	16	70	70	NUM
cana-3288	347	17	%	%	NOUN
cana-3288	347	18	reduction	reduction	NOUN
cana-3288	347	19	in	in	ADP
cana-3288	347	20	key	key	ADJ
cana-3288	347	21	size	size	NOUN
cana-3288	347	22	compared	compare	VERB
cana-3288	347	23	to	to	ADP
cana-3288	347	24	traditional	traditional	ADJ
cana-3288	347	25	dense	dense	ADJ
cana-3288	347	26	matrices	matrix	NOUN
cana-3288	347	27	,	,	PUNCT
cana-3288	347	28	proving	prove	VERB
cana-3288	347	29	that	that	PRON
cana-3288	347	30	key	key	ADJ
cana-3288	347	31	size	size	NOUN
cana-3288	347	32	optimization	optimization	NOUN
cana-3288	347	33	is	be	AUX
cana-3288	347	34	a	a	DET
cana-3288	347	35	critical	critical	ADJ
cana-3288	347	36	advantage	advantage	NOUN
cana-3288	347	37	for	for	ADP
cana-3288	347	38	constrained	constrained	ADJ
cana-3288	347	39	environments	environment	NOUN
cana-3288	347	40	like	like	ADP
cana-3288	347	41	iot	iot	NOUN
cana-3288	347	42	.	.	PROPN
cana-3288	347	43	improved	improve	VERB
cana-3288	347	44	decoding	decode	VERB
cana-3288	347	45	efficiency	efficiency	NOUN
cana-3288	347	46	:	:	PUNCT
cana-3288	347	47	evidence	evidence	NOUN
cana-3288	347	48	:	:	PUNCT
cana-3288	347	49	belief	belief	NOUN
cana-3288	347	50	propagation	propagation	NOUN
cana-3288	347	51	algorithm	algorithm	NOUN
cana-3288	347	52	:	:	PUNCT
cana-3288	347	53	ldpc	ldpc	NOUN
cana-3288	347	54	codes	code	NOUN
cana-3288	347	55	use	use	VERB
cana-3288	347	56	iterative	iterative	NOUN
cana-3288	347	57	belief	belief	NOUN
cana-3288	347	58	propagation	propagation	NOUN
cana-3288	347	59	algorithms	algorithm	NOUN
cana-3288	347	60	for	for	ADP
cana-3288	347	61	decoding	decode	VERB
cana-3288	347	62	,	,	PUNCT
cana-3288	347	63	which	which	PRON
cana-3288	347	64	are	be	AUX
cana-3288	347	65	proven	prove	VERB
cana-3288	347	66	to	to	PART
cana-3288	347	67	be	be	AUX
cana-3288	347	68	far	far	ADV
cana-3288	347	69	more	more	ADV
cana-3288	347	70	efficient	efficient	ADJ
cana-3288	347	71	than	than	ADP
cana-3288	347	72	classical	classical	ADJ
cana-3288	347	73	error	error	NOUN
cana-3288	347	74	-	-	PUNCT
cana-3288	347	75	correction	correction	NOUN
cana-3288	347	76	techniques	technique	NOUN
cana-3288	347	77	.	.	PUNCT
cana-3288	348	1	for	for	ADP
cana-3288	348	2	large	large	ADJ
cana-3288	348	3	matrix	matrix	NOUN
cana-3288	348	4	sizes	size	NOUN
cana-3288	348	5	,	,	PUNCT
cana-3288	348	6	belief	belief	NOUN
cana-3288	348	7	propagation	propagation	NOUN
cana-3288	348	8	decoding	decoding	NOUN
cana-3288	348	9	achieves	achieve	VERB
cana-3288	348	10	a	a	DET
cana-3288	348	11	complexity	complexity	NOUN
cana-3288	348	12	of	of	ADP
cana-3288	348	13	o(n	o(n	PROPN
cana-3288	348	14	log	log	NOUN
cana-3288	348	15	n	n	CCONJ
cana-3288	348	16	)	)	PUNCT
cana-3288	348	17	,	,	PUNCT
cana-3288	348	18	where	where	SCONJ
cana-3288	348	19	n	n	PRON
cana-3288	348	20	is	be	AUX
cana-3288	348	21	the	the	DET
cana-3288	348	22	block	block	NOUN
cana-3288	348	23	length	length	NOUN
cana-3288	348	24	of	of	ADP
cana-3288	348	25	the	the	DET
cana-3288	348	26	code	code	NOUN
cana-3288	348	27	.	.	PUNCT
cana-3288	349	1	this	this	PRON
cana-3288	349	2	is	be	AUX
cana-3288	349	3	substantially	substantially	ADV
cana-3288	349	4	lower	low	ADJ
cana-3288	349	5	than	than	ADP
cana-3288	349	6	the	the	DET
cana-3288	349	7	decoding	decode	VERB
cana-3288	349	8	complexity	complexity	NOUN
cana-3288	349	9	of	of	ADP
cana-3288	349	10	traditional	traditional	ADJ
cana-3288	349	11	errorcorrecting	errorcorrecting	NOUN
cana-3288	349	12	codes	code	NOUN
cana-3288	349	13	like	like	ADP
cana-3288	349	14	bch	bch	PROPN
cana-3288	349	15	or	or	CCONJ
cana-3288	349	16	reed	reed	NOUN
cana-3288	349	17	-	-	PUNCT
cana-3288	349	18	solomon	solomon	PROPN
cana-3288	349	19	,	,	PUNCT
cana-3288	349	20	which	which	PRON
cana-3288	349	21	scale	scale	VERB
cana-3288	349	22	linearly	linearly	ADV
cana-3288	349	23	with	with	ADP
cana-3288	349	24	the	the	DET
cana-3288	349	25	number	number	NOUN
cana-3288	349	26	of	of	ADP
cana-3288	349	27	non	non	ADJ
cana-3288	349	28	-	-	ADJ
cana-3288	349	29	zero	zero	NUM
cana-3288	349	30	elements	element	NOUN
cana-3288	349	31	in	in	ADP
cana-3288	349	32	the	the	DET
cana-3288	349	33	parity	parity	NOUN
cana-3288	349	34	-	-	PUNCT
cana-3288	349	35	check	check	NOUN
cana-3288	349	36	matrix	matrix	NOUN
cana-3288	349	37	.	.	PUNCT
cana-3288	350	1	experimental	experimental	ADJ
cana-3288	350	2	support	support	NOUN
cana-3288	350	3	:	:	PUNCT
cana-3288	350	4	ldpc	ldpc	NOUN
cana-3288	350	5	decoding	decode	VERB
cana-3288	350	6	can	can	AUX
cana-3288	350	7	be	be	AUX
cana-3288	350	8	executed	execute	VERB
cana-3288	350	9	in	in	ADP
cana-3288	350	10	real	real	ADJ
cana-3288	350	11	-	-	PUNCT
cana-3288	350	12	time	time	NOUN
cana-3288	350	13	due	due	ADP
cana-3288	350	14	to	to	ADP
cana-3288	350	15	its	its	PRON
cana-3288	350	16	fast	fast	ADJ
cana-3288	350	17	convergence	convergence	NOUN
cana-3288	350	18	properties	property	NOUN
cana-3288	350	19	.	.	PUNCT
cana-3288	351	1	studies	study	NOUN
cana-3288	351	2	show	show	VERB
cana-3288	351	3	that	that	SCONJ
cana-3288	351	4	ldpc	ldpc	NOUN
cana-3288	351	5	decoders	decoder	NOUN
cana-3288	351	6	can	can	AUX
cana-3288	351	7	achieve	achieve	VERB
cana-3288	351	8	an	an	DET
cana-3288	351	9	order	order	NOUN
cana-3288	351	10	of	of	ADP
cana-3288	351	11	magnitude	magnitude	NOUN
cana-3288	351	12	faster	fast	ADV
cana-3288	351	13	decoding	decoding	NOUN
cana-3288	351	14	compared	compare	VERB
cana-3288	351	15	to	to	ADP
cana-3288	351	16	conventional	conventional	ADJ
cana-3288	351	17	error	error	NOUN
cana-3288	351	18	-	-	PUNCT
cana-3288	351	19	correcting	correct	VERB
cana-3288	351	20	codes	code	NOUN
cana-3288	351	21	,	,	PUNCT
cana-3288	351	22	especially	especially	ADV
cana-3288	351	23	when	when	SCONJ
cana-3288	351	24	implemented	implement	VERB
cana-3288	351	25	on	on	ADP
cana-3288	351	26	hardware	hardware	NOUN
cana-3288	351	27	(	(	PUNCT
cana-3288	351	28	fpga	fpga	PROPN
cana-3288	351	29	,	,	PUNCT
cana-3288	351	30	asic	asic	NOUN
cana-3288	351	31	)	)	PUNCT
cana-3288	351	32	.	.	PUNCT
cana-3288	352	1	this	this	DET
cana-3288	352	2	efficiency	efficiency	NOUN
cana-3288	352	3	is	be	AUX
cana-3288	352	4	crucial	crucial	ADJ
cana-3288	352	5	in	in	ADP
cana-3288	352	6	low	low	ADJ
cana-3288	352	7	-	-	PUNCT
cana-3288	352	8	latency	latency	NOUN
cana-3288	352	9	applications	application	NOUN
cana-3288	352	10	such	such	ADJ
cana-3288	352	11	as	as	ADP
cana-3288	352	12	iot	iot	NOUN
cana-3288	352	13	.	.	PUNCT
cana-3288	353	1	quantum	quantum	ADJ
cana-3288	353	2	resistance	resistance	NOUN
cana-3288	353	3	:	:	PUNCT
cana-3288	353	4	evidence	evidence	NOUN
cana-3288	353	5	:	:	PUNCT
cana-3288	353	6	theoretical	theoretical	ADJ
cana-3288	353	7	strength	strength	NOUN
cana-3288	353	8	of	of	ADP
cana-3288	353	9	code	code	NOUN
cana-3288	353	10	-	-	PUNCT
cana-3288	353	11	based	base	VERB
cana-3288	353	12	cryptosystems	cryptosystem	NOUN
cana-3288	353	13	:	:	PUNCT
cana-3288	354	1	niederreiter	niederreiter	NOUN
cana-3288	354	2	and	and	CCONJ
cana-3288	354	3	mceliece	mceliece	NOUN
cana-3288	354	4	cryptosystems	cryptosystem	NOUN
cana-3288	354	5	are	be	AUX
cana-3288	354	6	recognized	recognize	VERB
cana-3288	354	7	for	for	ADP
cana-3288	354	8	their	their	PRON
cana-3288	354	9	resistance	resistance	NOUN
cana-3288	354	10	to	to	ADP
cana-3288	354	11	both	both	CCONJ
cana-3288	354	12	classical	classical	ADJ
cana-3288	354	13	and	and	CCONJ
cana-3288	354	14	quantum	quantum	NOUN
cana-3288	354	15	attacks	attack	NOUN
cana-3288	354	16	due	due	ADP
cana-3288	354	17	to	to	ADP
cana-3288	354	18	their	their	PRON
cana-3288	354	19	reliance	reliance	NOUN
cana-3288	354	20	on	on	ADP
cana-3288	354	21	the	the	DET
cana-3288	354	22	hardness	hardness	NOUN
cana-3288	354	23	of	of	ADP
cana-3288	354	24	decoding	decode	VERB
cana-3288	354	25	random	random	ADJ
cana-3288	354	26	linear	linear	ADJ
cana-3288	354	27	codes	code	NOUN
cana-3288	354	28	.	.	PUNCT
cana-3288	355	1	ldpc	ldpc	NOUN
cana-3288	355	2	codes	code	NOUN
cana-3288	355	3	,	,	PUNCT
cana-3288	355	4	being	be	AUX
cana-3288	355	5	random	random	ADJ
cana-3288	355	6	-	-	PUNCT
cana-3288	355	7	like	like	ADJ
cana-3288	355	8	and	and	CCONJ
cana-3288	355	9	sparse	sparse	ADJ
cana-3288	355	10	,	,	PUNCT
cana-3288	355	11	inherit	inherit	VERB
cana-3288	355	12	this	this	DET
cana-3288	355	13	post	post	ADJ
cana-3288	355	14	-	-	ADJ
cana-3288	355	15	quantum	quantum	ADJ
cana-3288	355	16	security	security	NOUN
cana-3288	355	17	.	.	PUNCT
cana-3288	356	1	recent	recent	ADJ
cana-3288	356	2	advances	advance	NOUN
cana-3288	356	3	suggest	suggest	VERB
cana-3288	356	4	that	that	SCONJ
cana-3288	356	5	no	no	DET
cana-3288	356	6	efficient	efficient	ADJ
cana-3288	356	7	quantum	quantum	ADJ
cana-3288	356	8	algorithm	algorithm	NOUN
cana-3288	356	9	for	for	ADP
cana-3288	356	10	decoding	decode	VERB
cana-3288	356	11	ldpc	ldpc	NOUN
cana-3288	356	12	codes	code	NOUN
cana-3288	356	13	has	have	AUX
cana-3288	356	14	been	be	AUX
cana-3288	356	15	discovered	discover	VERB
cana-3288	356	16	,	,	PUNCT
cana-3288	356	17	maintaining	maintain	VERB
cana-3288	356	18	the	the	DET
cana-3288	356	19	system	system	NOUN
cana-3288	356	20	’s	’s	PART
cana-3288	356	21	robustness	robustness	NOUN
cana-3288	356	22	against	against	ADP
cana-3288	356	23	quantumadversaries	quantumadversarie	NOUN
cana-3288	356	24	.	.	PUNCT
cana-3288	357	1	support	support	NOUN
cana-3288	357	2	from	from	ADP
cana-3288	357	3	research	research	NOUN
cana-3288	357	4	:	:	PUNCT
cana-3288	357	5	ldpc	ldpc	NOUN
cana-3288	357	6	-	-	PUNCT
cana-3288	357	7	based	base	VERB
cana-3288	357	8	cryptosystems	cryptosystem	NOUN
cana-3288	357	9	have	have	AUX
cana-3288	357	10	been	be	AUX
cana-3288	357	11	reviewed	review	VERB
cana-3288	357	12	in	in	ADP
cana-3288	357	13	nist	nist	NOUN
cana-3288	357	14	’s	’s	PART
cana-3288	357	15	post	post	ADJ
cana-3288	357	16	quantum	quantum	ADJ
cana-3288	357	17	cryptography	cryptography	NOUN
cana-3288	357	18	standardization	standardization	NOUN
cana-3288	357	19	process	process	NOUN
cana-3288	357	20	,	,	PUNCT
cana-3288	357	21	where	where	SCONJ
cana-3288	357	22	code	code	NOUN
cana-3288	357	23	-	-	PUNCT
cana-3288	357	24	based	base	VERB
cana-3288	357	25	systems	system	NOUN
cana-3288	357	26	consistently	consistently	ADV
cana-3288	357	27	score	score	VERB
cana-3288	357	28	high	high	ADV
cana-3288	357	29	in	in	ADP
cana-3288	357	30	terms	term	NOUN
cana-3288	357	31	of	of	ADP
cana-3288	357	32	quantum	quantum	ADJ
cana-3288	357	33	resistance	resistance	NOUN
cana-3288	357	34	.	.	PUNCT
cana-3288	358	1	studies	study	NOUN
cana-3288	358	2	have	have	VERB
cana-3288	358	3	the	the	DET
cana-3288	358	4	use	use	NOUN
cana-3288	358	5	of	of	ADP
cana-3288	358	6	ldpc	ldpc	NOUN
cana-3288	358	7	codes	code	NOUN
cana-3288	358	8	does	do	AUX
cana-3288	358	9	not	not	PART
cana-3288	358	10	weaken	weaken	VERB
cana-3288	358	11	the	the	DET
cana-3288	358	12	security	security	NOUN
cana-3288	358	13	of	of	ADP
cana-3288	358	14	the	the	DET
cana-3288	358	15	niederreiter	niederreiter	NOUN
cana-3288	358	16	cryptosystem	cryptosystem	NOUN
cana-3288	358	17	,	,	PUNCT
cana-3288	358	18	as	as	ADV
cana-3288	358	19	long	long	ADV
cana-3288	358	20	as	as	SCONJ
cana-3288	358	21	the	the	DET
cana-3288	358	22	code	code	NOUN
cana-3288	358	23	design	design	NOUN
cana-3288	358	24	remains	remain	VERB
cana-3288	358	25	within	within	ADP
cana-3288	358	26	safe	safe	ADJ
cana-3288	358	27	parameters	parameter	NOUN
cana-3288	358	28	.	.	PUNCT
cana-3288	359	1	communications	communication	NOUN
cana-3288	359	2	on	on	ADP
cana-3288	359	3	applied	apply	VERB
cana-3288	359	4	nonlinear	nonlinear	ADJ
cana-3288	359	5	analysis	analysis	NOUN
cana-3288	359	6	issn	issn	NOUN
cana-3288	359	7	:	:	PUNCT
cana-3288	359	8	1074	1074	NUM
cana-3288	359	9	-	-	PUNCT
cana-3288	359	10	133x	133x	NUM
cana-3288	359	11	vol	vol	NOUN
cana-3288	359	12	32	32	NUM
cana-3288	359	13	no	no	NOUN
cana-3288	359	14	.	.	PUNCT
cana-3288	360	1	6s	6s	NUM
cana-3288	360	2	(	(	PUNCT
cana-3288	360	3	2025	2025	NUM
cana-3288	360	4	)	)	PUNCT
cana-3288	360	5	236	236	NUM
cana-3288	360	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3288	360	7	suitability	suitability	NOUN
cana-3288	360	8	for	for	ADP
cana-3288	360	9	iot	iot	PROPN
cana-3288	360	10	applications	application	NOUN
cana-3288	360	11	:	:	PUNCT
cana-3288	360	12	evidence	evidence	NOUN
cana-3288	360	13	:	:	PUNCT
cana-3288	360	14	•	•	NUM
cana-3288	360	15	resource	resource	NOUN
cana-3288	360	16	constraints	constraint	NOUN
cana-3288	360	17	in	in	ADP
cana-3288	360	18	iot	iot	ADJ
cana-3288	360	19	:	:	PUNCT
cana-3288	360	20	iot	iot	PROPN
cana-3288	360	21	devices	device	NOUN
cana-3288	360	22	have	have	AUX
cana-3288	360	23	limited	limit	VERB
cana-3288	360	24	computational	computational	ADJ
cana-3288	360	25	power	power	NOUN
cana-3288	360	26	,	,	PUNCT
cana-3288	360	27	memory	memory	NOUN
cana-3288	360	28	,	,	PUNCT
cana-3288	360	29	and	and	CCONJ
cana-3288	360	30	battery	battery	NOUN
cana-3288	360	31	life	life	NOUN
cana-3288	360	32	.	.	PUNCT
cana-3288	361	1	cryptographic	cryptographic	ADJ
cana-3288	361	2	schemes	scheme	NOUN
cana-3288	361	3	with	with	ADP
cana-3288	361	4	large	large	ADJ
cana-3288	361	5	key	key	ADJ
cana-3288	361	6	sizes	size	NOUN
cana-3288	361	7	and	and	CCONJ
cana-3288	361	8	complex	complex	ADJ
cana-3288	361	9	decoding	decode	VERB
cana-3288	361	10	algorithms	algorithm	NOUN
cana-3288	361	11	strain	strain	VERB
cana-3288	361	12	these	these	DET
cana-3288	361	13	resources	resource	NOUN
cana-3288	361	14	,	,	PUNCT
cana-3288	361	15	leading	lead	VERB
cana-3288	361	16	to	to	ADP
cana-3288	361	17	inefficiency	inefficiency	NOUN
cana-3288	361	18	.	.	PUNCT
cana-3288	362	1	•	•	NUM
cana-3288	362	2	ldpc	ldpc	NOUN
cana-3288	362	3	-	-	PUNCT
cana-3288	362	4	enhanced	enhance	VERB
cana-3288	362	5	niederreiter	niederreiter	NOUN
cana-3288	362	6	cryptosystem	cryptosystem	NOUN
cana-3288	362	7	:	:	PUNCT
cana-3288	362	8	the	the	DET
cana-3288	362	9	reduction	reduction	NOUN
cana-3288	362	10	in	in	ADP
cana-3288	362	11	key	key	ADJ
cana-3288	362	12	size	size	NOUN
cana-3288	362	13	,	,	PUNCT
cana-3288	362	14	combined	combine	VERB
cana-3288	362	15	with	with	ADP
cana-3288	362	16	the	the	DET
cana-3288	362	17	low	low	ADJ
cana-3288	362	18	decoding	decode	VERB
cana-3288	362	19	complexity	complexity	NOUN
cana-3288	362	20	of	of	ADP
cana-3288	362	21	ldpc	ldpc	NOUN
cana-3288	362	22	codes	code	NOUN
cana-3288	362	23	,	,	PUNCT
cana-3288	362	24	directly	directly	ADV
cana-3288	362	25	addresses	address	VERB
cana-3288	362	26	these	these	DET
cana-3288	362	27	challenges	challenge	NOUN
cana-3288	362	28	.	.	PUNCT
cana-3288	363	1	the	the	DET
cana-3288	363	2	smaller	small	ADJ
cana-3288	363	3	key	key	ADJ
cana-3288	363	4	sizes	size	NOUN
cana-3288	363	5	lead	lead	VERB
cana-3288	363	6	to	to	ADP
cana-3288	363	7	reduced	reduce	VERB
cana-3288	363	8	transmission	transmission	NOUN
cana-3288	363	9	time	time	NOUN
cana-3288	363	10	over	over	ADP
cana-3288	363	11	constrained	constrained	ADJ
cana-3288	363	12	networks	network	NOUN
cana-3288	363	13	(	(	PUNCT
cana-3288	363	14	e.g.	e.g.	ADV
cana-3288	363	15	,	,	PUNCT
cana-3288	363	16	5	5	NUM
cana-3288	363	17	g	g	NOUN
cana-3288	363	18	or	or	CCONJ
cana-3288	363	19	lpwan	lpwan	NOUN
cana-3288	363	20	)	)	PUNCT
cana-3288	363	21	,	,	PUNCT
cana-3288	363	22	and	and	CCONJ
cana-3288	363	23	the	the	DET
cana-3288	363	24	lower	low	ADJ
cana-3288	363	25	computational	computational	ADJ
cana-3288	363	26	demands	demand	NOUN
cana-3288	363	27	make	make	VERB
cana-3288	363	28	the	the	DET
cana-3288	363	29	system	system	NOUN
cana-3288	363	30	viable	viable	ADJ
cana-3288	363	31	even	even	ADV
cana-3288	363	32	on	on	ADP
cana-3288	363	33	low	low	ADJ
cana-3288	363	34	-	-	PUNCT
cana-3288	363	35	power	power	NOUN
cana-3288	363	36	microcontrollers	microcontroller	NOUN
cana-3288	363	37	.	.	PUNCT
cana-3288	364	1	experimental	experimental	ADJ
cana-3288	364	2	support	support	NOUN
cana-3288	364	3	:	:	PUNCT
cana-3288	364	4	research	research	NOUN
cana-3288	364	5	has	have	AUX
cana-3288	364	6	shown	show	VERB
cana-3288	364	7	that	that	SCONJ
cana-3288	364	8	ldpc	ldpc	NOUN
cana-3288	364	9	codes	code	NOUN
cana-3288	364	10	have	have	AUX
cana-3288	364	11	been	be	AUX
cana-3288	364	12	successfully	successfully	ADV
cana-3288	364	13	implemented	implement	VERB
cana-3288	364	14	on	on	ADP
cana-3288	364	15	resourceconstrained	resourceconstraine	VERB
cana-3288	364	16	iot	iot	NOUN
cana-3288	364	17	devices	device	NOUN
cana-3288	364	18	,	,	PUNCT
cana-3288	364	19	such	such	ADJ
cana-3288	364	20	as	as	ADP
cana-3288	364	21	arm	arm	NOUN
cana-3288	364	22	cortex	cortex	NOUN
cana-3288	364	23	-	-	PUNCT
cana-3288	364	24	m	m	NOUN
cana-3288	364	25	microcontrollers	microcontroller	NOUN
cana-3288	364	26	.	.	PUNCT
cana-3288	365	1	a	a	DET
cana-3288	365	2	study	study	NOUN
cana-3288	365	3	by	by	ADP
cana-3288	365	4	baldi	baldi	PROPN
cana-3288	365	5	et	et	PROPN
cana-3288	365	6	al	al	PROPN
cana-3288	365	7	.	.	PROPN
cana-3288	365	8	(	(	PUNCT
cana-3288	365	9	2020	2020	NUM
cana-3288	365	10	)	)	PUNCT
cana-3288	365	11	demonstrated	demonstrate	VERB
cana-3288	365	12	that	that	SCONJ
cana-3288	365	13	using	use	VERB
cana-3288	365	14	ldpc	ldpc	NOUN
cana-3288	365	15	codes	code	NOUN
cana-3288	365	16	on	on	ADP
cana-3288	365	17	these	these	DET
cana-3288	365	18	devices	device	NOUN
cana-3288	365	19	resulted	result	VERB
cana-3288	365	20	in	in	ADP
cana-3288	365	21	35	35	NUM
cana-3288	365	22	%	%	NOUN
cana-3288	365	23	lower	low	ADJ
cana-3288	365	24	energy	energy	NOUN
cana-3288	365	25	consumption	consumption	NOUN
cana-3288	365	26	compared	compare	VERB
cana-3288	365	27	to	to	ADP
cana-3288	365	28	traditional	traditional	ADJ
cana-3288	365	29	coding	code	VERB
cana-3288	365	30	methods	method	NOUN
cana-3288	365	31	used	use	VERB
cana-3288	365	32	in	in	ADP
cana-3288	365	33	post	post	ADJ
cana-3288	365	34	-	-	ADJ
cana-3288	365	35	quantum	quantum	ADJ
cana-3288	365	36	cryptography	cryptography	NOUN
cana-3288	365	37	.	.	PUNCT
cana-3288	366	1	scalabiarge	scalabiarge	NOUN
cana-3288	366	2	-	-	PUNCT
cana-3288	366	3	scale	scale	NOUN
cana-3288	366	4	communication	communication	NOUN
cana-3288	366	5	systems	system	NOUN
cana-3288	366	6	:	:	PUNCT
cana-3288	366	7	evidence	evidence	NOUN
cana-3288	366	8	:	:	PUNCT
cana-3288	366	9	network	network	NOUN
cana-3288	366	10	scalability	scalability	NOUN
cana-3288	366	11	:	:	PUNCT
cana-3288	366	12	in	in	ADP
cana-3288	366	13	large	large	ADJ
cana-3288	366	14	-	-	PUNCT
cana-3288	366	15	scale	scale	NOUN
cana-3288	366	16	networks	network	NOUN
cana-3288	366	17	(	(	PUNCT
cana-3288	366	18	e.g.	e.g.	ADV
cana-3288	366	19	,	,	PUNCT
cana-3288	366	20	5	5	NUM
cana-3288	366	21	g	g	NOUN
cana-3288	366	22	,	,	PUNCT
cana-3288	366	23	smart	smart	ADJ
cana-3288	366	24	grids	grid	NOUN
cana-3288	366	25	)	)	PUNCT
cana-3288	366	26	,	,	PUNCT
cana-3288	366	27	the	the	DET
cana-3288	366	28	cryptographic	cryptographic	ADJ
cana-3288	366	29	systems	system	NOUN
cana-3288	366	30	need	need	VERB
cana-3288	366	31	to	to	PART
cana-3288	366	32	support	support	VERB
cana-3288	366	33	a	a	DET
cana-3288	366	34	high	high	ADJ
cana-3288	366	35	throughput	throughput	NOUN
cana-3288	366	36	while	while	SCONJ
cana-3288	366	37	minimizing	minimize	VERB
cana-3288	366	38	bandwidth	bandwidth	ADJ
cana-3288	366	39	consumption	consumption	NOUN
cana-3288	366	40	.	.	PUNCT
cana-3288	367	1	the	the	DET
cana-3288	367	2	smaller	small	ADJ
cana-3288	367	3	key	key	ADJ
cana-3288	367	4	sizes	size	NOUN
cana-3288	367	5	and	and	CCONJ
cana-3288	367	6	faster	fast	ADJ
cana-3288	367	7	decoding	decode	VERB
cana-3288	367	8	of	of	ADP
cana-3288	367	9	ldpc	ldpc	NOUN
cana-3288	367	10	codes	code	NOUN
cana-3288	367	11	improve	improve	VERB
cana-3288	367	12	both	both	DET
cana-3288	367	13	bandwidth	bandwidth	ADJ
cana-3288	367	14	efficiency	efficiency	NOUN
cana-3288	367	15	and	and	CCONJ
cana-3288	367	16	processing	processing	NOUN
cana-3288	367	17	speeds	speed	NOUN
cana-3288	367	18	in	in	ADP
cana-3288	367	19	such	such	ADJ
cana-3288	367	20	networks	network	NOUN
cana-3288	367	21	.	.	PUNCT
cana-3288	368	1	experimental	experimental	ADJ
cana-3288	368	2	support	support	NOUN
cana-3288	368	3	:	:	PUNCT
cana-3288	368	4	ldpc	ldpc	NOUN
cana-3288	368	5	codes	code	NOUN
cana-3288	368	6	are	be	AUX
cana-3288	368	7	already	already	ADV
cana-3288	368	8	being	be	AUX
cana-3288	368	9	used	use	VERB
cana-3288	368	10	in	in	ADP
cana-3288	368	11	large	large	ADJ
cana-3288	368	12	-	-	PUNCT
cana-3288	368	13	scale	scale	NOUN
cana-3288	368	14	communications	communication	NOUN
cana-3288	368	15	,	,	PUNCT
cana-3288	368	16	such	such	ADJ
cana-3288	368	17	as	as	ADP
cana-3288	368	18	5	5	NUM
cana-3288	368	19	g	g	NOUN
cana-3288	368	20	networks	network	NOUN
cana-3288	368	21	,	,	PUNCT
cana-3288	368	22	where	where	SCONJ
cana-3288	368	23	their	their	PRON
cana-3288	368	24	efficient	efficient	ADJ
cana-3288	368	25	error	error	NOUN
cana-3288	368	26	-	-	PUNCT
cana-3288	368	27	correction	correction	NOUN
cana-3288	368	28	capabilities	capability	NOUN
cana-3288	368	29	improve	improve	VERB
cana-3288	368	30	throughout	throughout	ADV
cana-3288	368	31	and	and	CCONJ
cana-3288	368	32	reduce	reduce	VERB
cana-3288	368	33	latency	latency	NOUN
cana-3288	368	34	.	.	PUNCT
cana-3288	369	1	extending	extend	VERB
cana-3288	369	2	this	this	DET
cana-3288	369	3	proven	prove	VERB
cana-3288	369	4	scalability	scalability	NOUN
cana-3288	369	5	of	of	ADP
cana-3288	369	6	the	the	DET
cana-3288	369	7	niederreiter	niederreiter	NOUN
cana-3288	369	8	cryptosystem	cryptosystem	NOUN
cana-3288	369	9	allows	allow	VERB
cana-3288	369	10	for	for	ADP
cana-3288	369	11	its	its	PRON
cana-3288	369	12	seamless	seamless	ADJ
cana-3288	369	13	application	application	NOUN
cana-3288	369	14	in	in	ADP
cana-3288	369	15	large	large	ADJ
cana-3288	369	16	-	-	PUNCT
cana-3288	369	17	scale	scale	NOUN
cana-3288	369	18	cryptographic	cryptographic	ADJ
cana-3288	369	19	systems	system	NOUN
cana-3288	369	20	.	.	PUNCT
cana-3288	370	1	communication	communication	NOUN
cana-3288	370	2	overhead	overhead	ADJ
cana-3288	370	3	reduction	reduction	NOUN
cana-3288	370	4	:	:	PUNCT
cana-3288	370	5	evidence	evidence	NOUN
cana-3288	370	6	:	:	PUNCT
cana-3288	370	7	•	•	NOUN
cana-3288	370	8	reduced	reduce	VERB
cana-3288	370	9	transmission	transmission	NOUN
cana-3288	370	10	time	time	NOUN
cana-3288	370	11	:	:	PUNCT
cana-3288	370	12	smaller	small	ADJ
cana-3288	370	13	key	key	ADJ
cana-3288	370	14	sizes	size	NOUN
cana-3288	370	15	directly	directly	ADV
cana-3288	370	16	lead	lead	VERB
cana-3288	370	17	to	to	ADP
cana-3288	370	18	less	less	ADJ
cana-3288	370	19	communication	communication	NOUN
cana-3288	370	20	overhead	overhead	ADV
cana-3288	370	21	,	,	PUNCT
cana-3288	370	22	which	which	PRON
cana-3288	370	23	is	be	AUX
cana-3288	370	24	especially	especially	ADV
cana-3288	370	25	beneficial	beneficial	ADJ
cana-3288	370	26	in	in	ADP
cana-3288	370	27	environments	environment	NOUN
cana-3288	370	28	where	where	SCONJ
cana-3288	370	29	bandwidth	bandwidth	NOUN
cana-3288	370	30	is	be	AUX
cana-3288	370	31	limited	limited	ADJ
cana-3288	370	32	or	or	CCONJ
cana-3288	370	33	expensive	expensive	ADJ
cana-3288	370	34	.	.	PUNCT
cana-3288	371	1	•	•	NUM
cana-3288	371	2	ldpc	ldpc	NOUN
cana-3288	371	3	-	-	PUNCT
cana-3288	371	4	enhanced	enhance	VERB
cana-3288	371	5	niederreiter	niederreiter	NOUN
cana-3288	371	6	:	:	PUNCT
cana-3288	371	7	with	with	ADP
cana-3288	371	8	the	the	DET
cana-3288	371	9	key	key	ADJ
cana-3288	371	10	size	size	NOUN
cana-3288	371	11	reductions	reduction	NOUN
cana-3288	371	12	brought	bring	VERB
cana-3288	371	13	about	about	ADP
cana-3288	371	14	by	by	ADP
cana-3288	371	15	ldpc	ldpc	NOUN
cana-3288	371	16	codes	code	NOUN
cana-3288	371	17	,	,	PUNCT
cana-3288	371	18	the	the	DET
cana-3288	371	19	communication	communication	NOUN
cana-3288	371	20	cost	cost	NOUN
cana-3288	371	21	(	(	PUNCT
cana-3288	371	22	both	both	CCONJ
cana-3288	371	23	in	in	ADP
cana-3288	371	24	terms	term	NOUN
cana-3288	371	25	of	of	ADP
cana-3288	371	26	data	datum	NOUN
cana-3288	371	27	size	size	NOUN
cana-3288	371	28	and	and	CCONJ
cana-3288	371	29	energy	energy	NOUN
cana-3288	371	30	required	require	VERB
cana-3288	371	31	for	for	ADP
cana-3288	371	32	transmission	transmission	NOUN
cana-3288	371	33	)	)	PUNCT
cana-3288	371	34	is	be	AUX
cana-3288	371	35	minimized	minimize	VERB
cana-3288	371	36	.	.	PUNCT
cana-3288	372	1	•experimental	•experimental	PROPN
cana-3288	372	2	support	support	NOUN
cana-3288	372	3	:	:	PUNCT
cana-3288	372	4	in	in	ADP
cana-3288	372	5	experiments	experiment	NOUN
cana-3288	372	6	where	where	SCONJ
cana-3288	372	7	code	code	NOUN
cana-3288	372	8	-	-	PUNCT
cana-3288	372	9	based	base	VERB
cana-3288	372	10	cryptosystems	cryptosystem	NOUN
cana-3288	372	11	are	be	AUX
cana-3288	372	12	deployed	deploy	VERB
cana-3288	372	13	over	over	ADP
cana-3288	372	14	constrained	constrain	VERB
cana-3288	372	15	networks	network	NOUN
cana-3288	372	16	(	(	PUNCT
cana-3288	372	17	e.g.	e.g.	ADV
cana-3288	372	18	,	,	PUNCT
cana-3288	372	19	lpwan	lpwan	PROPN
cana-3288	372	20	)	)	PUNCT
cana-3288	372	21	,	,	PUNCT
cana-3288	372	22	reducing	reduce	VERB
cana-3288	372	23	key	key	ADJ
cana-3288	372	24	size	size	NOUN
cana-3288	372	25	has	have	AUX
cana-3288	372	26	been	be	AUX
cana-3288	372	27	shown	show	VERB
cana-3288	372	28	to	to	PART
cana-3288	372	29	decrease	decrease	VERB
cana-3288	372	30	transmission	transmission	NOUN
cana-3288	372	31	time	time	NOUN
cana-3288	372	32	by	by	ADP
cana-3288	372	33	up	up	ADP
cana-3288	372	34	to	to	PART
cana-3288	372	35	50	50	NUM
cana-3288	372	36	%	%	NOUN
cana-3288	372	37	,	,	PUNCT
cana-3288	372	38	which	which	PRON
cana-3288	372	39	in	in	ADP
cana-3288	372	40	turn	turn	NOUN
cana-3288	372	41	leads	lead	VERB
cana-3288	372	42	to	to	ADP
cana-3288	372	43	longer	long	ADJ
cana-3288	372	44	battery	battery	NOUN
cana-3288	372	45	life	life	NOUN
cana-3288	372	46	for	for	ADP
cana-3288	372	47	iot	iot	NOUN
cana-3288	372	48	devices	device	NOUN
cana-3288	372	49	.	.	PUNCT
cana-3288	373	1	by	by	ADP
cana-3288	373	2	integrating	integrate	VERB
cana-3288	373	3	ldpc	ldpc	NOUN
cana-3288	373	4	to	to	ADP
cana-3288	373	5	the	the	DET
cana-3288	373	6	niederreiter	niederreiter	NOUN
cana-3288	373	7	cryptosystem	cryptosystem	NOUN
cana-3288	373	8	,	,	PUNCT
cana-3288	373	9	the	the	DET
cana-3288	373	10	following	follow	VERB
cana-3288	373	11	benefits	benefit	NOUN
cana-3288	373	12	are	be	AUX
cana-3288	373	13	realized	realize	VERB
cana-3288	373	14	with	with	ADP
cana-3288	373	15	strong	strong	ADJ
cana-3288	373	16	evidence	evidence	NOUN
cana-3288	373	17	from	from	ADP
cana-3288	373	18	both	both	CCONJ
cana-3288	373	19	theoretical	theoretical	ADJ
cana-3288	373	20	and	and	CCONJ
cana-3288	373	21	experimental	experimental	ADJ
cana-3288	373	22	sources	source	NOUN
cana-3288	373	23	:	:	PUNCT
cana-3288	373	24	•	•	NUM
cana-3288	373	25	key	key	ADJ
cana-3288	373	26	size	size	NOUN
cana-3288	373	27	reduction	reduction	NOUN
cana-3288	373	28	by	by	ADP
cana-3288	373	29	up	up	ADP
cana-3288	373	30	to	to	PART
cana-3288	373	31	90	90	NUM
cana-3288	373	32	%	%	NOUN
cana-3288	373	33	,	,	PUNCT
cana-3288	373	34	enabling	enable	VERB
cana-3288	373	35	efficient	efficient	ADJ
cana-3288	373	36	storage	storage	NOUN
cana-3288	373	37	and	and	CCONJ
cana-3288	373	38	transmission	transmission	NOUN
cana-3288	373	39	.	.	PUNCT
cana-3288	374	1	•	•	NUM
cana-3288	374	2	decoding	decode	VERB
cana-3288	374	3	efficiency	efficiency	NOUN
cana-3288	374	4	improvements	improvement	NOUN
cana-3288	374	5	by	by	ADP
cana-3288	374	6	an	an	DET
cana-3288	374	7	order	order	NOUN
cana-3288	374	8	of	of	ADP
cana-3288	374	9	magnitude	magnitude	NOUN
cana-3288	374	10	,	,	PUNCT
cana-3288	374	11	crucial	crucial	ADJ
cana-3288	374	12	for	for	ADP
cana-3288	374	13	real	real	ADJ
cana-3288	374	14	-	-	PUNCT
cana-3288	374	15	time	time	NOUN
cana-3288	374	16	and	and	CCONJ
cana-3288	374	17	low	low	ADJ
cana-3288	374	18	power	power	NOUN
cana-3288	374	19	applications	application	NOUN
cana-3288	374	20	.	.	PUNCT
cana-3288	375	1	•	•	NUM
cana-3288	375	2	quantum	quantum	NOUN
cana-3288	375	3	resistance	resistance	NOUN
cana-3288	375	4	is	be	AUX
cana-3288	375	5	maintained	maintain	VERB
cana-3288	375	6	,	,	PUNCT
cana-3288	375	7	ensuring	ensure	VERB
cana-3288	375	8	future	future	ADJ
cana-3288	375	9	-	-	PUNCT
cana-3288	375	10	proof	proof	ADJ
cana-3288	375	11	security	security	NOUN
cana-3288	375	12	.	.	PUNCT
cana-3288	376	1	•	•	NUM
cana-3288	376	2	iot	iot	NOUN
cana-3288	376	3	suitability	suitability	NOUN
cana-3288	376	4	with	with	ADP
cana-3288	376	5	reduced	reduce	VERB
cana-3288	376	6	energy	energy	NOUN
cana-3288	376	7	consumption	consumption	NOUN
cana-3288	376	8	and	and	CCONJ
cana-3288	376	9	computational	computational	ADJ
cana-3288	376	10	overhead	overhead	NOUN
cana-3288	376	11	.	.	PUNCT
cana-3288	377	1	communications	communication	NOUN
cana-3288	377	2	on	on	ADP
cana-3288	377	3	applied	apply	VERB
cana-3288	377	4	nonlinear	nonlinear	ADJ
cana-3288	377	5	analysis	analysis	NOUN
cana-3288	377	6	issn	issn	NOUN
cana-3288	377	7	:	:	PUNCT
cana-3288	377	8	1074	1074	NUM
cana-3288	377	9	-	-	PUNCT
cana-3288	377	10	133x	133x	NUM
cana-3288	377	11	vol	vol	NOUN
cana-3288	377	12	32	32	NUM
cana-3288	377	13	no	no	NOUN
cana-3288	377	14	.	.	PUNCT
cana-3288	378	1	6s	6s	NUM
cana-3288	378	2	(	(	PUNCT
cana-3288	378	3	2025	2025	NUM
cana-3288	378	4	)	)	PUNCT
cana-3288	378	5	237	237	NUM
cana-3288	378	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3288	378	7	•	•	NOUN
cana-3288	378	8	scalability	scalability	NOUN
cana-3288	378	9	and	and	CCONJ
cana-3288	378	10	reduced	reduced	ADJ
cana-3288	378	11	communication	communication	NOUN
cana-3288	378	12	overhead	overhead	ADV
cana-3288	378	13	in	in	ADP
cana-3288	378	14	large	large	ADJ
cana-3288	378	15	-	-	PUNCT
cana-3288	378	16	scale	scale	NOUN
cana-3288	378	17	networks	network	NOUN
cana-3288	378	18	such	such	ADJ
cana-3288	378	19	as	as	ADP
cana-3288	378	20	5	5	NUM
cana-3288	378	21	g	g	NOUN
cana-3288	378	22	and	and	CCONJ
cana-3288	378	23	beyond	beyond	ADP
cana-3288	378	24	.	.	PUNCT
cana-3288	379	1	these	these	DET
cana-3288	379	2	advantages	advantage	NOUN
cana-3288	379	3	,	,	PUNCT
cana-3288	379	4	backed	back	VERB
cana-3288	379	5	by	by	ADP
cana-3288	379	6	empirical	empirical	ADJ
cana-3288	379	7	data	datum	NOUN
cana-3288	379	8	,	,	PUNCT
cana-3288	379	9	position	position	VERB
cana-3288	379	10	the	the	DET
cana-3288	379	11	niederreiter	niederreiter	ADJ
cana-3288	379	12	cryptosystem	cryptosystem	NOUN
cana-3288	379	13	with	with	ADP
cana-3288	379	14	ldpc	ldpc	NOUN
cana-3288	379	15	codes	code	NOUN
cana-3288	379	16	as	as	ADP
cana-3288	379	17	an	an	DET
cana-3288	379	18	optimized	optimize	VERB
cana-3288	379	19	post	post	ADJ
cana-3288	379	20	-	-	ADJ
cana-3288	379	21	quantum	quantum	ADJ
cana-3288	379	22	solution	solution	NOUN
cana-3288	379	23	for	for	ADP
cana-3288	379	24	modern	modern	ADJ
cana-3288	379	25	cryptographic	cryptographic	ADJ
cana-3288	379	26	challenges	challenge	NOUN
cana-3288	379	27	.	.	PUNCT
cana-3288	380	1	3.0.2	3.0.2	NUM
cana-3288	380	2	applications	application	NOUN
cana-3288	380	3	in	in	ADP
cana-3288	380	4	iot	iot	ADJ
cana-3288	380	5	and	and	CCONJ
cana-3288	380	6	large	large	ADJ
cana-3288	380	7	-	-	PUNCT
cana-3288	380	8	scale	scale	NOUN
cana-3288	380	9	communications	communication	NOUN
cana-3288	380	10	why	why	SCONJ
cana-3288	380	11	iot	iot	PROPN
cana-3288	380	12	needs	need	VERB
cana-3288	380	13	lightweight	lightweight	ADJ
cana-3288	380	14	cryptography	cryptography	NOUN
cana-3288	380	15	the	the	DET
cana-3288	380	16	growth	growth	NOUN
cana-3288	380	17	of	of	ADP
cana-3288	380	18	the	the	DET
cana-3288	380	19	internet	internet	NOUN
cana-3288	380	20	of	of	ADP
cana-3288	380	21	things	thing	NOUN
cana-3288	380	22	(	(	PUNCT
cana-3288	380	23	iot	iot	NOUN
cana-3288	380	24	)	)	PUNCT
cana-3288	380	25	has	have	AUX
cana-3288	380	26	led	lead	VERB
cana-3288	380	27	to	to	ADP
cana-3288	380	28	billions	billion	NOUN
cana-3288	380	29	of	of	ADP
cana-3288	380	30	interconnected	interconnected	ADJ
cana-3288	380	31	devices	device	NOUN
cana-3288	380	32	,	,	PUNCT
cana-3288	380	33	each	each	DET
cana-3288	380	34	gathering	gathering	NOUN
cana-3288	380	35	,	,	PUNCT
cana-3288	380	36	transmitting	transmitting	NOUN
cana-3288	380	37	,	,	PUNCT
cana-3288	380	38	and	and	CCONJ
cana-3288	380	39	sometimes	sometimes	ADV
cana-3288	380	40	processing	process	VERB
cana-3288	380	41	sensitive	sensitive	ADJ
cana-3288	380	42	data	datum	NOUN
cana-3288	380	43	.	.	PUNCT
cana-3288	381	1	iot	iot	PROPN
cana-3288	381	2	devices	device	NOUN
cana-3288	381	3	are	be	AUX
cana-3288	381	4	frequently	frequently	ADV
cana-3288	381	5	constrained	constrain	VERB
cana-3288	381	6	by	by	ADP
cana-3288	381	7	limited	limited	ADJ
cana-3288	381	8	memory	memory	NOUN
cana-3288	381	9	,	,	PUNCT
cana-3288	381	10	processing	processing	NOUN
cana-3288	381	11	power	power	NOUN
cana-3288	381	12	,	,	PUNCT
cana-3288	381	13	and	and	CCONJ
cana-3288	381	14	battery	battery	NOUN
cana-3288	381	15	life	life	NOUN
cana-3288	381	16	,	,	PUNCT
cana-3288	381	17	making	make	VERB
cana-3288	381	18	traditional	traditional	ADJ
cana-3288	381	19	cryptographic	cryptographic	ADJ
cana-3288	381	20	algorithms	algorithm	NOUN
cana-3288	381	21	challenging	challenge	VERB
cana-3288	381	22	to	to	PART
cana-3288	381	23	implement	implement	VERB
cana-3288	381	24	.	.	PUNCT
cana-3288	382	1	post	post	ADJ
cana-3288	382	2	-	-	ADJ
cana-3288	382	3	quantum	quantum	ADJ
cana-3288	382	4	cryptographic	cryptographic	ADJ
cana-3288	382	5	solutions	solution	NOUN
cana-3288	382	6	like	like	ADP
cana-3288	382	7	code	code	NOUN
cana-3288	382	8	-	-	PUNCT
cana-3288	382	9	based	base	VERB
cana-3288	382	10	cryptosystems	cryptosystem	NOUN
cana-3288	382	11	are	be	AUX
cana-3288	382	12	particularly	particularly	ADV
cana-3288	382	13	promising	promise	VERB
cana-3288	382	14	for	for	ADP
cana-3288	382	15	iot	iot	NOUN
cana-3288	382	16	,	,	PUNCT
cana-3288	382	17	as	as	SCONJ
cana-3288	382	18	they	they	PRON
cana-3288	382	19	provide	provide	VERB
cana-3288	382	20	quantum	quantum	ADJ
cana-3288	382	21	resistance	resistance	NOUN
cana-3288	382	22	without	without	ADP
cana-3288	382	23	relying	rely	VERB
cana-3288	382	24	on	on	ADP
cana-3288	382	25	high	high	ADJ
cana-3288	382	26	-	-	PUNCT
cana-3288	382	27	complexity	complexity	NOUN
cana-3288	382	28	mathematical	mathematical	ADJ
cana-3288	382	29	operations	operation	NOUN
cana-3288	382	30	.	.	PUNCT
cana-3288	383	1	however	however	ADV
cana-3288	383	2	,	,	PUNCT
cana-3288	383	3	many	many	ADJ
cana-3288	383	4	of	of	ADP
cana-3288	383	5	these	these	DET
cana-3288	383	6	algorithms	algorithm	NOUN
cana-3288	383	7	are	be	AUX
cana-3288	383	8	resource	resource	NOUN
cana-3288	383	9	-	-	PUNCT
cana-3288	383	10	intensive	intensive	ADJ
cana-3288	383	11	,	,	PUNCT
cana-3288	383	12	demanding	demand	VERB
cana-3288	383	13	significant	significant	ADJ
cana-3288	383	14	storage	storage	NOUN
cana-3288	383	15	and	and	CCONJ
cana-3288	383	16	processing	processing	NOUN
cana-3288	383	17	power	power	NOUN
cana-3288	383	18	that	that	SCONJ
cana-3288	383	19	iot	iot	PROPN
cana-3288	383	20	devices	device	NOUN
cana-3288	383	21	may	may	AUX
cana-3288	383	22	not	not	PART
cana-3288	383	23	support	support	VERB
cana-3288	383	24	.	.	PUNCT
cana-3288	384	1	therefore	therefore	ADV
cana-3288	384	2	,	,	PUNCT
cana-3288	384	3	lightweight	lightweight	ADJ
cana-3288	384	4	cryptographic	cryptographic	ADJ
cana-3288	384	5	solutions	solution	NOUN
cana-3288	384	6	,	,	PUNCT
cana-3288	384	7	which	which	PRON
cana-3288	384	8	balance	balance	VERB
cana-3288	384	9	security	security	NOUN
cana-3288	384	10	with	with	ADP
cana-3288	384	11	efficiency	efficiency	NOUN
cana-3288	384	12	,	,	PUNCT
cana-3288	384	13	are	be	AUX
cana-3288	384	14	essential	essential	ADJ
cana-3288	384	15	for	for	ADP
cana-3288	384	16	deploying	deploy	VERB
cana-3288	384	17	secure	secure	ADJ
cana-3288	384	18	iot	iot	ADJ
cana-3288	384	19	networks	network	NOUN
cana-3288	384	20	that	that	PRON
cana-3288	384	21	can	can	AUX
cana-3288	384	22	withstand	withstand	VERB
cana-3288	384	23	quantumera	quantumera	NOUN
cana-3288	384	24	threats	threat	NOUN
cana-3288	384	25	while	while	SCONJ
cana-3288	384	26	preserving	preserve	VERB
cana-3288	384	27	device	device	NOUN
cana-3288	384	28	performance	performance	NOUN
cana-3288	384	29	.	.	PUNCT
cana-3288	385	1	security	security	NOUN
cana-3288	385	2	analysis	analysis	NOUN
cana-3288	385	3	quantum	quantum	ADJ
cana-3288	385	4	resistance	resistance	NOUN
cana-3288	385	5	the	the	DET
cana-3288	385	6	integration	integration	NOUN
cana-3288	385	7	of	of	ADP
cana-3288	385	8	ldpc	ldpc	NOUN
cana-3288	385	9	codes	code	NOUN
cana-3288	385	10	enhances	enhance	VERB
cana-3288	385	11	the	the	DET
cana-3288	385	12	niederreiter	niederreiter	NOUN
cana-3288	385	13	cryptosystem	cryptosystem	NOUN
cana-3288	385	14	’s	’s	PART
cana-3288	385	15	resilience	resilience	NOUN
cana-3288	385	16	against	against	ADP
cana-3288	385	17	quantum	quantum	ADJ
cana-3288	385	18	algorithms	algorithm	NOUN
cana-3288	385	19	,	,	PUNCT
cana-3288	385	20	particularly	particularly	ADV
cana-3288	385	21	grover	grover	NOUN
cana-3288	385	22	’s	’s	PART
cana-3288	385	23	algorithm	algorithm	NOUN
cana-3288	385	24	and	and	CCONJ
cana-3288	385	25	related	related	ADJ
cana-3288	385	26	techniques	technique	NOUN
cana-3288	385	27	.	.	PUNCT
cana-3288	386	1	the	the	DET
cana-3288	386	2	scrambling	scrambling	NOUN
cana-3288	386	3	of	of	ADP
cana-3288	386	4	parity	parity	NOUN
cana-3288	386	5	-	-	PUNCT
cana-3288	386	6	check	check	NOUN
cana-3288	386	7	matrices	matrix	NOUN
cana-3288	386	8	adds	add	VERB
cana-3288	386	9	a	a	DET
cana-3288	386	10	layer	layer	NOUN
cana-3288	386	11	of	of	ADP
cana-3288	386	12	complexity	complexity	NOUN
cana-3288	386	13	,	,	PUNCT
cana-3288	386	14	deterring	deter	VERB
cana-3288	386	15	structural	structural	ADJ
cana-3288	386	16	attacks	attack	NOUN
cana-3288	386	17	.	.	PUNCT
cana-3288	387	1	error	error	NOUN
cana-3288	387	2	vector	vector	NOUN
cana-3288	387	3	concealment	concealment	NOUN
cana-3288	387	4	randomized	randomize	VERB
cana-3288	387	5	error	error	NOUN
cana-3288	387	6	vectors	vector	NOUN
cana-3288	387	7	ensure	ensure	VERB
cana-3288	387	8	ciphertext	ciphertext	NOUN
cana-3288	387	9	indistinguishability	indistinguishability	NOUN
cana-3288	387	10	,	,	PUNCT
cana-3288	387	11	thwarting	thwart	VERB
cana-3288	387	12	known	know	VERB
cana-3288	387	13	plaintext	plaintext	NOUN
cana-3288	387	14	and	and	CCONJ
cana-3288	387	15	chosen	choose	VERB
cana-3288	387	16	ciphertext	ciphertext	NOUN
cana-3288	387	17	attacks	attack	NOUN
cana-3288	387	18	.	.	PUNCT
cana-3288	388	1	robustness	robustness	NOUN
cana-3288	388	2	to	to	ADP
cana-3288	388	3	classical	classical	ADJ
cana-3288	388	4	attacks	attack	NOUN
cana-3288	388	5	•	•	ADP
cana-3288	388	6	the	the	DET
cana-3288	388	7	sparse	sparse	ADJ
cana-3288	388	8	structure	structure	NOUN
cana-3288	388	9	of	of	ADP
cana-3288	388	10	ldpc	ldpc	NOUN
cana-3288	388	11	matrices	matrix	NOUN
cana-3288	388	12	minimizes	minimize	VERB
cana-3288	388	13	the	the	DET
cana-3288	388	14	information	information	NOUN
cana-3288	388	15	leakage	leakage	NOUN
cana-3288	388	16	during	during	ADP
cana-3288	388	17	key	key	ADJ
cana-3288	388	18	exchange	exchange	NOUN
cana-3288	388	19	.	.	PUNCT
cana-3288	389	1	•	•	NUM
cana-3288	389	2	iterative	iterative	NOUN
cana-3288	389	3	decoding	decode	VERB
cana-3288	389	4	algorithms	algorithm	NOUN
cana-3288	389	5	are	be	AUX
cana-3288	389	6	resistant	resistant	ADJ
cana-3288	389	7	to	to	PART
cana-3288	389	8	differential	differential	VERB
cana-3288	389	9	analysis	analysis	NOUN
cana-3288	389	10	.	.	PUNCT
cana-3288	390	1	suitability	suitability	NOUN
cana-3288	390	2	of	of	ADP
cana-3288	390	3	ldpc	ldpc	NOUN
cana-3288	390	4	-	-	PUNCT
cana-3288	390	5	based	base	VERB
cana-3288	390	6	niederreiter	niederreiter	NOUN
cana-3288	390	7	for	for	ADP
cana-3288	390	8	iot	iot	PROPN
cana-3288	390	9	the	the	DET
cana-3288	390	10	ldpc	ldpc	NOUN
cana-3288	390	11	-	-	PUNCT
cana-3288	390	12	based	base	VERB
cana-3288	390	13	niederreiter	niederreiter	NOUN
cana-3288	390	14	cryptosystem	cryptosystem	NOUN
cana-3288	390	15	optimizes	optimize	VERB
cana-3288	390	16	traditional	traditional	ADJ
cana-3288	390	17	code	code	NOUN
cana-3288	390	18	-	-	PUNCT
cana-3288	390	19	based	base	VERB
cana-3288	390	20	cryptography	cryptography	NOUN
cana-3288	390	21	to	to	PART
cana-3288	390	22	fit	fit	VERB
cana-3288	390	23	the	the	DET
cana-3288	390	24	unique	unique	ADJ
cana-3288	390	25	requirements	requirement	NOUN
cana-3288	390	26	of	of	ADP
cana-3288	390	27	iot	iot	NOUN
cana-3288	390	28	,	,	PUNCT
cana-3288	390	29	particularly	particularly	ADV
cana-3288	390	30	through	through	ADP
cana-3288	390	31	reduced	reduce	VERB
cana-3288	390	32	key	key	ADJ
cana-3288	390	33	size	size	NOUN
cana-3288	390	34	and	and	CCONJ
cana-3288	390	35	enhanced	enhanced	ADJ
cana-3288	390	36	decoding	decode	VERB
cana-3288	390	37	efficiency	efficiency	NOUN
cana-3288	390	38	.	.	PUNCT
cana-3288	391	1	here	here	ADV
cana-3288	391	2	’s	’	VERB
cana-3288	391	3	how	how	SCONJ
cana-3288	391	4	it	it	PRON
cana-3288	391	5	addresses	address	VERB
cana-3288	391	6	specific	specific	ADJ
cana-3288	391	7	iot	iot	NOUN
cana-3288	391	8	challenges	challenge	NOUN
cana-3288	391	9	:	:	PUNCT
cana-3288	391	10	•	•	NUM
cana-3288	391	11	reduced	reduce	VERB
cana-3288	391	12	key	key	ADJ
cana-3288	391	13	sizes	size	NOUN
cana-3288	391	14	:	:	PUNCT
cana-3288	391	15	in	in	ADP
cana-3288	391	16	traditional	traditional	ADJ
cana-3288	391	17	code	code	NOUN
cana-3288	391	18	-	-	PUNCT
cana-3288	391	19	based	base	VERB
cana-3288	391	20	cryptosystems	cryptosystem	NOUN
cana-3288	391	21	,	,	PUNCT
cana-3288	391	22	the	the	DET
cana-3288	391	23	large	large	ADJ
cana-3288	391	24	public	public	ADJ
cana-3288	391	25	key	key	ADJ
cana-3288	391	26	size	size	NOUN
cana-3288	391	27	poses	pose	VERB
cana-3288	391	28	a	a	DET
cana-3288	391	29	bottleneck	bottleneck	NOUN
cana-3288	391	30	for	for	ADP
cana-3288	391	31	storage	storage	NOUN
cana-3288	391	32	-	-	PUNCT
cana-3288	391	33	constrained	constrain	VERB
cana-3288	391	34	devices	device	NOUN
cana-3288	391	35	.	.	PUNCT
cana-3288	392	1	by	by	ADP
cana-3288	392	2	incorporating	incorporate	VERB
cana-3288	392	3	ldpc	ldpc	NOUN
cana-3288	392	4	codes	code	NOUN
cana-3288	392	5	,	,	PUNCT
cana-3288	392	6	which	which	PRON
cana-3288	392	7	feature	feature	VERB
cana-3288	392	8	sparse	sparse	ADJ
cana-3288	392	9	paritycheck	paritycheck	NOUN
cana-3288	392	10	matrices	matrix	NOUN
cana-3288	392	11	,	,	PUNCT
cana-3288	392	12	the	the	DET
cana-3288	392	13	optimized	optimize	VERB
cana-3288	392	14	niederreiter	niederreiter	NOUN
cana-3288	392	15	cryptosystem	cryptosystem	NOUN
cana-3288	392	16	achieves	achieve	VERB
cana-3288	392	17	a	a	DET
cana-3288	392	18	significant	significant	ADJ
cana-3288	392	19	reduction	reduction	NOUN
cana-3288	392	20	in	in	ADP
cana-3288	392	21	key	key	ADJ
cana-3288	392	22	size	size	NOUN
cana-3288	392	23	.	.	PUNCT
cana-3288	393	1	this	this	DET
cana-3288	393	2	minimizes	minimize	VERB
cana-3288	393	3	memory	memory	NOUN
cana-3288	393	4	consumption	consumption	NOUN
cana-3288	393	5	,	,	PUNCT
cana-3288	393	6	making	make	VERB
cana-3288	393	7	it	it	PRON
cana-3288	393	8	feasible	feasible	ADJ
cana-3288	393	9	for	for	ADP
cana-3288	393	10	iot	iot	ADJ
cana-3288	393	11	devices	device	NOUN
cana-3288	393	12	with	with	ADP
cana-3288	393	13	limited	limited	ADJ
cana-3288	393	14	storage	storage	NOUN
cana-3288	393	15	capacity	capacity	NOUN
cana-3288	393	16	.	.	PUNCT
cana-3288	394	1	•efficient	•efficient	PROPN
cana-3288	394	2	decoding	decode	VERB
cana-3288	394	3	:	:	PUNCT
cana-3288	394	4	ldpc	ldpc	NOUN
cana-3288	394	5	codes	code	NOUN
cana-3288	394	6	are	be	AUX
cana-3288	394	7	known	know	VERB
cana-3288	394	8	for	for	ADP
cana-3288	394	9	their	their	PRON
cana-3288	394	10	sparse	sparse	ADJ
cana-3288	394	11	structure	structure	NOUN
cana-3288	394	12	,	,	PUNCT
cana-3288	394	13	which	which	PRON
cana-3288	394	14	supports	support	VERB
cana-3288	394	15	faster	fast	ADV
cana-3288	394	16	,	,	PUNCT
cana-3288	394	17	lowcomplexity	lowcomplexity	NOUN
cana-3288	394	18	decoding	decode	VERB
cana-3288	394	19	using	use	VERB
cana-3288	394	20	iterative	iterative	ADJ
cana-3288	394	21	algorithms	algorithm	NOUN
cana-3288	394	22	like	like	ADP
cana-3288	394	23	belief	belief	NOUN
cana-3288	394	24	propagation	propagation	NOUN
cana-3288	394	25	.	.	PUNCT
cana-3288	395	1	this	this	PRON
cana-3288	395	2	reduces	reduce	VERB
cana-3288	395	3	the	the	DET
cana-3288	395	4	com	com	NOUN
cana-3288	395	5	putational	putational	ADJ
cana-3288	395	6	load	load	NOUN
cana-3288	395	7	on	on	ADP
cana-3288	395	8	iot	iot	ADJ
cana-3288	395	9	devices	device	NOUN
cana-3288	395	10	,	,	PUNCT
cana-3288	395	11	enabling	enable	VERB
cana-3288	395	12	quicker	quick	ADJ
cana-3288	395	13	response	response	NOUN
cana-3288	395	14	times	time	NOUN
cana-3288	395	15	and	and	CCONJ
cana-3288	395	16	conserving	conserve	VERB
cana-3288	395	17	power	power	NOUN
cana-3288	395	18	.	.	PUNCT
cana-3288	396	1	the	the	DET
cana-3288	396	2	efficient	efficient	ADJ
cana-3288	396	3	decoding	decode	VERB
cana-3288	396	4	process	process	NOUN
cana-3288	396	5	makes	make	VERB
cana-3288	396	6	this	this	DET
cana-3288	396	7	system	system	NOUN
cana-3288	396	8	particularly	particularly	ADV
cana-3288	396	9	suitable	suitable	ADJ
cana-3288	396	10	for	for	ADP
cana-3288	396	11	low	low	ADJ
cana-3288	396	12	-	-	PUNCT
cana-3288	396	13	power	power	NOUN
cana-3288	396	14	,	,	PUNCT
cana-3288	396	15	high	high	ADJ
cana-3288	396	16	-	-	PUNCT
cana-3288	396	17	frequency	frequency	NOUN
cana-3288	396	18	iot	iot	NOUN
cana-3288	396	19	applications	application	NOUN
cana-3288	396	20	.	.	PUNCT
cana-3288	397	1	•	•	NUM
cana-3288	397	2	quantum	quantum	NOUN
cana-3288	397	3	-	-	PUNCT
cana-3288	397	4	resistant	resistant	ADJ
cana-3288	397	5	security	security	NOUN
cana-3288	397	6	:	:	PUNCT
cana-3288	397	7	iot	iot	PROPN
cana-3288	397	8	systems	system	NOUN
cana-3288	397	9	must	must	AUX
cana-3288	397	10	be	be	AUX
cana-3288	397	11	protected	protect	VERB
cana-3288	397	12	against	against	ADP
cana-3288	397	13	current	current	ADJ
cana-3288	397	14	and	and	CCONJ
cana-3288	397	15	future	future	ADJ
cana-3288	397	16	threats	threat	NOUN
cana-3288	397	17	,	,	PUNCT
cana-3288	397	18	including	include	VERB
cana-3288	397	19	those	those	PRON
cana-3288	397	20	posed	pose	VERB
cana-3288	397	21	by	by	ADP
cana-3288	397	22	quantum	quantum	ADJ
cana-3288	397	23	computing	computing	NOUN
cana-3288	397	24	.	.	PUNCT
cana-3288	398	1	the	the	DET
cana-3288	398	2	ldpc	ldpc	NOUN
cana-3288	398	3	-	-	PUNCT
cana-3288	398	4	based	base	VERB
cana-3288	398	5	niederreiter	niederreiter	NOUN
cana-3288	398	6	system	system	NOUN
cana-3288	398	7	provides	provide	VERB
cana-3288	398	8	a	a	DET
cana-3288	398	9	robust	robust	ADJ
cana-3288	398	10	,	,	PUNCT
cana-3288	398	11	quantum	quantum	NOUN
cana-3288	398	12	-	-	PUNCT
cana-3288	398	13	resistant	resistant	ADJ
cana-3288	398	14	alternative	alternative	NOUN
cana-3288	398	15	to	to	ADP
cana-3288	398	16	conventional	conventional	ADJ
cana-3288	398	17	algorithms	algorithm	NOUN
cana-3288	398	18	like	like	ADP
cana-3288	398	19	rsa	rsa	PROPN
cana-3288	398	20	and	and	CCONJ
cana-3288	398	21	ecc	ecc	PROPN
cana-3288	398	22	,	,	PUNCT
cana-3288	398	23	offering	offer	VERB
cana-3288	398	24	long	long	ADJ
cana-3288	398	25	-	-	PUNCT
cana-3288	398	26	term	term	NOUN
cana-3288	398	27	security	security	NOUN
cana-3288	398	28	that	that	PRON
cana-3288	398	29	can	can	AUX
cana-3288	398	30	secure	secure	VERB
cana-3288	398	31	iot	iot	ADJ
cana-3288	398	32	devices	device	NOUN
cana-3288	398	33	against	against	ADP
cana-3288	398	34	emerging	emerge	VERB
cana-3288	398	35	quantum	quantum	NOUN
cana-3288	398	36	attacks	attack	NOUN
cana-3288	398	37	.	.	PUNCT
cana-3288	399	1	case	case	NOUN
cana-3288	399	2	studies	study	NOUN
cana-3288	399	3	/	/	SYM
cana-3288	399	4	use	use	NOUN
cana-3288	399	5	cases	case	NOUN
cana-3288	399	6	the	the	DET
cana-3288	399	7	communications	communication	NOUN
cana-3288	399	8	on	on	ADP
cana-3288	399	9	applied	apply	VERB
cana-3288	399	10	nonlinear	nonlinear	ADJ
cana-3288	399	11	analysis	analysis	NOUN
cana-3288	399	12	issn	issn	NOUN
cana-3288	399	13	:	:	PUNCT
cana-3288	399	14	1074	1074	NUM
cana-3288	399	15	-	-	PUNCT
cana-3288	399	16	133x	133x	NUM
cana-3288	399	17	vol	vol	NOUN
cana-3288	399	18	32	32	NUM
cana-3288	399	19	no	no	NOUN
cana-3288	399	20	.	.	PUNCT
cana-3288	400	1	6s	6s	NUM
cana-3288	400	2	(	(	PUNCT
cana-3288	400	3	2025	2025	NUM
cana-3288	400	4	)	)	PUNCT
cana-3288	400	5	238	238	NUM
cana-3288	400	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3288	400	7	optimized	optimize	VERB
cana-3288	400	8	niederreiter	niederreiter	NOUN
cana-3288	400	9	cryptosystem	cryptosystem	NOUN
cana-3288	400	10	,	,	PUNCT
cana-3288	400	11	with	with	ADP
cana-3288	400	12	its	its	PRON
cana-3288	400	13	lightweight	lightweight	ADJ
cana-3288	400	14	,	,	PUNCT
cana-3288	400	15	efficient	efficient	ADJ
cana-3288	400	16	properties	property	NOUN
cana-3288	400	17	,	,	PUNCT
cana-3288	400	18	can	can	AUX
cana-3288	400	19	benefit	benefit	VERB
cana-3288	400	20	a	a	DET
cana-3288	400	21	variety	variety	NOUN
cana-3288	400	22	of	of	ADP
cana-3288	400	23	iot	iot	NOUN
cana-3288	400	24	and	and	CCONJ
cana-3288	400	25	large	large	ADJ
cana-3288	400	26	-	-	PUNCT
cana-3288	400	27	scale	scale	NOUN
cana-3288	400	28	communication	communication	NOUN
cana-3288	400	29	applications	application	NOUN
cana-3288	400	30	.	.	PUNCT
cana-3288	401	1	here	here	ADV
cana-3288	401	2	are	be	AUX
cana-3288	401	3	some	some	DET
cana-3288	401	4	potential	potential	ADJ
cana-3288	401	5	use	use	NOUN
cana-3288	401	6	cases	case	NOUN
cana-3288	401	7	:	:	PUNCT
cana-3288	401	8	1	1	X
cana-3288	401	9	.	.	X
cana-3288	401	10	secure	secure	VERB
cana-3288	401	11	iot	iot	ADJ
cana-3288	401	12	communications	communication	NOUN
cana-3288	401	13	:	:	PUNCT
cana-3288	401	14	in	in	ADP
cana-3288	401	15	a	a	DET
cana-3288	401	16	smart	smart	ADJ
cana-3288	401	17	home	home	NOUN
cana-3288	401	18	or	or	CCONJ
cana-3288	401	19	smart	smart	ADJ
cana-3288	401	20	city	city	NOUN
cana-3288	401	21	environment	environment	NOUN
cana-3288	401	22	,	,	PUNCT
cana-3288	401	23	sensors	sensor	NOUN
cana-3288	401	24	and	and	CCONJ
cana-3288	401	25	devices	device	NOUN
cana-3288	401	26	continuously	continuously	ADV
cana-3288	401	27	monitor	monitor	VERB
cana-3288	401	28	and	and	CCONJ
cana-3288	401	29	exchange	exchange	NOUN
cana-3288	401	30	information	information	NOUN
cana-3288	401	31	.	.	PUNCT
cana-3288	402	1	securing	secure	VERB
cana-3288	402	2	these	these	DET
cana-3288	402	3	communications	communication	NOUN
cana-3288	402	4	is	be	AUX
cana-3288	402	5	critical	critical	ADJ
cana-3288	402	6	to	to	PART
cana-3288	402	7	prevent	prevent	VERB
cana-3288	402	8	unauthorized	unauthorized	ADJ
cana-3288	402	9	access	access	NOUN
cana-3288	402	10	and	and	CCONJ
cana-3288	402	11	data	datum	NOUN
cana-3288	402	12	tampering	tampering	NOUN
cana-3288	402	13	.	.	PUNCT
cana-3288	403	1	the	the	DET
cana-3288	403	2	ldpc	ldpc	NOUN
cana-3288	403	3	-	-	PUNCT
cana-3288	403	4	enhanced	enhance	VERB
cana-3288	403	5	niederreiter	niederreiter	NOUN
cana-3288	403	6	system	system	NOUN
cana-3288	403	7	could	could	AUX
cana-3288	403	8	encrypt	encrypt	VERB
cana-3288	403	9	these	these	DET
cana-3288	403	10	communications	communication	NOUN
cana-3288	403	11	with	with	ADP
cana-3288	403	12	minimal	minimal	ADJ
cana-3288	403	13	impact	impact	NOUN
cana-3288	403	14	on	on	ADP
cana-3288	403	15	device	device	NOUN
cana-3288	403	16	performance	performance	NOUN
cana-3288	403	17	,	,	PUNCT
cana-3288	403	18	ensuring	ensure	VERB
cana-3288	403	19	secure	secure	ADJ
cana-3288	403	20	data	datum	NOUN
cana-3288	403	21	exchanges	exchange	NOUN
cana-3288	403	22	while	while	SCONJ
cana-3288	403	23	preserving	preserve	VERB
cana-3288	403	24	battery	battery	NOUN
cana-3288	403	25	life	life	NOUN
cana-3288	403	26	.	.	PUNCT
cana-3288	404	1	2	2	X
cana-3288	404	2	.	.	X
cana-3288	404	3	large	large	ADJ
cana-3288	404	4	-	-	PUNCT
cana-3288	404	5	scale	scale	NOUN
cana-3288	404	6	sensor	sensor	NOUN
cana-3288	404	7	networks	network	NOUN
cana-3288	404	8	:	:	PUNCT
cana-3288	404	9	applications	application	NOUN
cana-3288	404	10	like	like	ADP
cana-3288	404	11	environmental	environmental	ADJ
cana-3288	404	12	monitoring	monitoring	NOUN
cana-3288	404	13	or	or	CCONJ
cana-3288	404	14	disaster	disaster	NOUN
cana-3288	404	15	response	response	NOUN
cana-3288	404	16	systems	system	NOUN
cana-3288	404	17	rely	rely	VERB
cana-3288	404	18	on	on	ADP
cana-3288	404	19	sensor	sensor	NOUN
cana-3288	404	20	networks	network	NOUN
cana-3288	404	21	deployed	deploy	VERB
cana-3288	404	22	across	across	ADP
cana-3288	404	23	large	large	ADJ
cana-3288	404	24	areas	area	NOUN
cana-3288	404	25	.	.	PUNCT
cana-3288	405	1	these	these	DET
cana-3288	405	2	sensors	sensor	NOUN
cana-3288	405	3	must	must	AUX
cana-3288	405	4	securely	securely	ADV
cana-3288	405	5	transmit	transmit	VERB
cana-3288	405	6	data	datum	NOUN
cana-3288	405	7	to	to	ADP
cana-3288	405	8	a	a	DET
cana-3288	405	9	central	central	ADJ
cana-3288	405	10	hub	hub	NOUN
cana-3288	405	11	,	,	PUNCT
cana-3288	405	12	often	often	ADV
cana-3288	405	13	with	with	ADP
cana-3288	405	14	limited	limited	ADJ
cana-3288	405	15	power	power	NOUN
cana-3288	405	16	and	and	CCONJ
cana-3288	405	17	intermittent	intermittent	ADJ
cana-3288	405	18	connectivity	connectivity	NOUN
cana-3288	405	19	.	.	PUNCT
cana-3288	406	1	the	the	DET
cana-3288	406	2	lightweight	lightweight	ADJ
cana-3288	406	3	nature	nature	NOUN
cana-3288	406	4	of	of	ADP
cana-3288	406	5	ldpc	ldpc	NOUN
cana-3288	406	6	-	-	PUNCT
cana-3288	406	7	based	base	VERB
cana-3288	406	8	niederreiter	niederreiter	NOUN
cana-3288	406	9	makes	make	VERB
cana-3288	406	10	it	it	PRON
cana-3288	406	11	suitable	suitable	ADJ
cana-3288	406	12	for	for	ADP
cana-3288	406	13	such	such	ADJ
cana-3288	406	14	applications	application	NOUN
cana-3288	406	15	,	,	PUNCT
cana-3288	406	16	allowing	allow	VERB
cana-3288	406	17	for	for	ADP
cana-3288	406	18	secure	secure	ADJ
cana-3288	406	19	transmissions	transmission	NOUN
cana-3288	406	20	without	without	ADP
cana-3288	406	21	frequent	frequent	ADJ
cana-3288	406	22	key	key	ADJ
cana-3288	406	23	exchanges	exchange	NOUN
cana-3288	406	24	or	or	CCONJ
cana-3288	406	25	re	re	NOUN
cana-3288	406	26	-	-	NOUN
cana-3288	406	27	authentication	authentication	NOUN
cana-3288	406	28	,	,	PUNCT
cana-3288	406	29	which	which	PRON
cana-3288	406	30	can	can	AUX
cana-3288	406	31	drain	drain	VERB
cana-3288	406	32	resources	resource	NOUN
cana-3288	406	33	.	.	PUNCT
cana-3288	407	1	3	3	X
cana-3288	407	2	.	.	X
cana-3288	407	3	smart	smart	ADJ
cana-3288	407	4	grids	grid	NOUN
cana-3288	407	5	and	and	CCONJ
cana-3288	407	6	utility	utility	NOUN
cana-3288	407	7	management	management	NOUN
cana-3288	407	8	:	:	PUNCT
cana-3288	407	9	in	in	ADP
cana-3288	407	10	smart	smart	ADJ
cana-3288	407	11	grid	grid	NOUN
cana-3288	407	12	applications	application	NOUN
cana-3288	407	13	,	,	PUNCT
cana-3288	407	14	devices	device	NOUN
cana-3288	407	15	such	such	ADJ
cana-3288	407	16	as	as	ADP
cana-3288	407	17	smart	smart	ADJ
cana-3288	407	18	meters	meter	NOUN
cana-3288	407	19	continuously	continuously	ADV
cana-3288	407	20	communicate	communicate	VERB
cana-3288	407	21	usage	usage	NOUN
cana-3288	407	22	data	datum	NOUN
cana-3288	407	23	to	to	ADP
cana-3288	407	24	utility	utility	NOUN
cana-3288	407	25	providers	provider	NOUN
cana-3288	407	26	.	.	PUNCT
cana-3288	408	1	security	security	NOUN
cana-3288	408	2	in	in	ADP
cana-3288	408	3	this	this	DET
cana-3288	408	4	context	context	NOUN
cana-3288	408	5	is	be	AUX
cana-3288	408	6	essential	essential	ADJ
cana-3288	408	7	to	to	PART
cana-3288	408	8	prevent	prevent	VERB
cana-3288	408	9	tampering	tampering	NOUN
cana-3288	408	10	or	or	CCONJ
cana-3288	408	11	fraud	fraud	NOUN
cana-3288	408	12	.	.	PUNCT
cana-3288	409	1	with	with	ADP
cana-3288	409	2	its	its	PRON
cana-3288	409	3	quantum	quantum	ADJ
cana-3288	409	4	resistance	resistance	NOUN
cana-3288	409	5	and	and	CCONJ
cana-3288	409	6	optimized	optimize	VERB
cana-3288	409	7	resource	resource	NOUN
cana-3288	409	8	usage	usage	NOUN
cana-3288	409	9	,	,	PUNCT
cana-3288	409	10	the	the	DET
cana-3288	409	11	ldpcbased	ldpcbase	VERB
cana-3288	409	12	niederreiter	niederreiter	NOUN
cana-3288	409	13	cryptosystem	cryptosystem	NOUN
cana-3288	409	14	can	can	AUX
cana-3288	409	15	secure	secure	VERB
cana-3288	409	16	these	these	DET
cana-3288	409	17	transmissions	transmission	NOUN
cana-3288	409	18	,	,	PUNCT
cana-3288	409	19	protecting	protect	VERB
cana-3288	409	20	critical	critical	ADJ
cana-3288	409	21	infrastructure	infrastructure	NOUN
cana-3288	409	22	from	from	ADP
cana-3288	409	23	potential	potential	ADJ
cana-3288	409	24	cyber	cyber	NOUN
cana-3288	409	25	threats	threat	NOUN
cana-3288	409	26	while	while	SCONJ
cana-3288	409	27	maintaining	maintain	VERB
cana-3288	409	28	operational	operational	ADJ
cana-3288	409	29	efficiency	efficiency	NOUN
cana-3288	409	30	.	.	PUNCT
cana-3288	410	1	4	4	X
cana-3288	410	2	.	.	X
cana-3288	410	3	industrial	industrial	ADJ
cana-3288	410	4	iot	iot	NOUN
cana-3288	410	5	(	(	PUNCT
cana-3288	410	6	iiot	iiot	NOUN
cana-3288	410	7	):	):	PUNCT
cana-3288	410	8	in	in	ADP
cana-3288	410	9	industrial	industrial	ADJ
cana-3288	410	10	settings	setting	NOUN
cana-3288	410	11	,	,	PUNCT
cana-3288	410	12	iot	iot	PROPN
cana-3288	410	13	devices	device	NOUN
cana-3288	410	14	monitor	monitor	VERB
cana-3288	410	15	machinery	machinery	NOUN
cana-3288	410	16	,	,	PUNCT
cana-3288	410	17	environmental	environmental	ADJ
cana-3288	410	18	conditions	condition	NOUN
cana-3288	410	19	,	,	PUNCT
cana-3288	410	20	and	and	CCONJ
cana-3288	410	21	process	process	NOUN
cana-3288	410	22	controls	control	NOUN
cana-3288	410	23	,	,	PUNCT
cana-3288	410	24	often	often	ADV
cana-3288	410	25	operating	operate	VERB
cana-3288	410	26	in	in	ADP
cana-3288	410	27	remote	remote	ADJ
cana-3288	410	28	or	or	CCONJ
cana-3288	410	29	restricted	restricted	ADJ
cana-3288	410	30	environments	environment	NOUN
cana-3288	410	31	.	.	PUNCT
cana-3288	411	1	the	the	DET
cana-3288	411	2	ldpc	ldpc	NOUN
cana-3288	411	3	-	-	PUNCT
cana-3288	411	4	based	base	VERB
cana-3288	411	5	niederreiter	niederreiter	NOUN
cana-3288	411	6	system	system	NOUN
cana-3288	411	7	can	can	AUX
cana-3288	411	8	be	be	AUX
cana-3288	411	9	deployed	deploy	VERB
cana-3288	411	10	in	in	ADP
cana-3288	411	11	iiot	iiot	NOUN
cana-3288	411	12	applications	application	NOUN
cana-3288	411	13	to	to	PART
cana-3288	411	14	ensure	ensure	VERB
cana-3288	411	15	secure	secure	ADJ
cana-3288	411	16	communications	communication	NOUN
cana-3288	411	17	across	across	ADP
cana-3288	411	18	manufacturing	manufacturing	NOUN
cana-3288	411	19	or	or	CCONJ
cana-3288	411	20	supply	supply	VERB
cana-3288	411	21	chain	chain	NOUN
cana-3288	411	22	networks	network	NOUN
cana-3288	411	23	without	without	ADP
cana-3288	411	24	significant	significant	ADJ
cana-3288	411	25	hardware	hardware	NOUN
cana-3288	411	26	or	or	CCONJ
cana-3288	411	27	power	power	NOUN
cana-3288	411	28	upgrades	upgrade	NOUN
cana-3288	411	29	,	,	PUNCT
cana-3288	411	30	making	make	VERB
cana-3288	411	31	it	it	PRON
cana-3288	411	32	cost	cost	NOUN
cana-3288	411	33	-	-	PUNCT
cana-3288	411	34	effective	effective	ADJ
cana-3288	411	35	and	and	CCONJ
cana-3288	411	36	easy	easy	ADJ
cana-3288	411	37	to	to	PART
cana-3288	411	38	implement	implement	VERB
cana-3288	411	39	in	in	ADP
cana-3288	411	40	existing	exist	VERB
cana-3288	411	41	infrastructures	infrastructure	NOUN
cana-3288	411	42	.	.	PUNCT
cana-3288	412	1	these	these	DET
cana-3288	412	2	examples	example	NOUN
cana-3288	412	3	demonstrate	demonstrate	VERB
cana-3288	412	4	the	the	DET
cana-3288	412	5	potential	potential	NOUN
cana-3288	412	6	of	of	ADP
cana-3288	412	7	the	the	DET
cana-3288	412	8	ldpc	ldpc	NOUN
cana-3288	412	9	-	-	PUNCT
cana-3288	412	10	based	base	VERB
cana-3288	412	11	niederreiter	niederreiter	NOUN
cana-3288	412	12	cryptosystem	cryptosystem	NOUN
cana-3288	412	13	to	to	PART
cana-3288	412	14	provide	provide	VERB
cana-3288	412	15	a	a	DET
cana-3288	412	16	scalable	scalable	ADJ
cana-3288	412	17	and	and	CCONJ
cana-3288	412	18	secure	secure	ADJ
cana-3288	412	19	solution	solution	NOUN
cana-3288	412	20	for	for	ADP
cana-3288	412	21	iot	iot	ADJ
cana-3288	412	22	and	and	CCONJ
cana-3288	412	23	large	large	ADJ
cana-3288	412	24	-	-	PUNCT
cana-3288	412	25	scale	scale	NOUN
cana-3288	412	26	communication	communication	NOUN
cana-3288	412	27	networks	network	NOUN
cana-3288	412	28	,	,	PUNCT
cana-3288	412	29	preserving	preserve	VERB
cana-3288	412	30	both	both	CCONJ
cana-3288	412	31	security	security	NOUN
cana-3288	412	32	and	and	CCONJ
cana-3288	412	33	performance	performance	NOUN
cana-3288	412	34	in	in	ADP
cana-3288	412	35	a	a	DET
cana-3288	412	36	resource	resource	NOUN
cana-3288	412	37	-	-	PUNCT
cana-3288	412	38	efficient	efficient	ADJ
cana-3288	412	39	manner	manner	NOUN
cana-3288	412	40	.	.	PUNCT
cana-3288	413	1	this	this	PRON
cana-3288	413	2	makes	make	VERB
cana-3288	413	3	it	it	PRON
cana-3288	413	4	highly	highly	ADV
cana-3288	413	5	suited	suited	ADJ
cana-3288	413	6	for	for	ADP
cana-3288	413	7	diverse	diverse	ADJ
cana-3288	413	8	iot	iot	NOUN
cana-3288	413	9	applications	application	NOUN
cana-3288	413	10	,	,	PUNCT
cana-3288	413	11	from	from	ADP
cana-3288	413	12	home	home	NOUN
cana-3288	413	13	automation	automation	NOUN
cana-3288	413	14	to	to	ADP
cana-3288	413	15	industrial	industrial	ADJ
cana-3288	413	16	networks	network	NOUN
cana-3288	413	17	,	,	PUNCT
cana-3288	413	18	as	as	ADP
cana-3288	413	19	the	the	DET
cana-3288	413	20	need	need	NOUN
cana-3288	413	21	for	for	ADP
cana-3288	413	22	lightweight	lightweight	NOUN
cana-3288	413	23	,	,	PUNCT
cana-3288	413	24	quantumresistant	quantumresistant	ADJ
cana-3288	413	25	cryptographic	cryptographic	ADJ
cana-3288	413	26	solutions	solution	NOUN
cana-3288	413	27	continues	continue	VERB
cana-3288	413	28	to	to	PART
cana-3288	413	29	grow	grow	VERB
cana-3288	413	30	.	.	PUNCT
cana-3288	414	1	table:4	table:4	NOUN
cana-3288	414	2	key	key	ADJ
cana-3288	414	3	findings	finding	NOUN
cana-3288	414	4	1	1	NUM
cana-3288	414	5	.	.	PUNCT
cana-3288	414	6	key	key	ADJ
cana-3288	414	7	size	size	NOUN
cana-3288	414	8	reduction	reduction	NOUN
cana-3288	414	9	:	:	PUNCT
cana-3288	414	10	optimized	optimize	VERB
cana-3288	414	11	keys	key	NOUN
cana-3288	414	12	are	be	AUX
cana-3288	414	13	50	50	NUM
cana-3288	414	14	%	%	NOUN
cana-3288	414	15	smaller	small	ADJ
cana-3288	414	16	than	than	ADP
cana-3288	414	17	traditional	traditional	ADJ
cana-3288	414	18	niederreiter	niederreiter	NOUN
cana-3288	414	19	implementations	implementation	NOUN
cana-3288	414	20	.	.	PUNCT
cana-3288	415	1	2	2	X
cana-3288	415	2	.	.	NUM
cana-3288	415	3	improved	improve	VERB
cana-3288	415	4	decoding	decode	VERB
cana-3288	415	5	efficiency	efficiency	NOUN
cana-3288	415	6	:	:	PUNCT
cana-3288	415	7	decoding	decode	VERB
cana-3288	415	8	times	time	NOUN
cana-3288	415	9	reduced	reduce	VERB
cana-3288	415	10	by	by	ADP
cana-3288	415	11	30%compared	30%compared	NUM
cana-3288	415	12	to	to	ADP
cana-3288	415	13	standard	standard	ADJ
cana-3288	415	14	goppacodes	goppacode	NOUN
cana-3288	415	15	.	.	PUNCT
cana-3288	416	1	3	3	X
cana-3288	416	2	.	.	NUM
cana-3288	416	3	enhanced	enhance	VERB
cana-3288	416	4	scalability	scalability	NOUN
cana-3288	416	5	:	:	PUNCT
cana-3288	416	6	the	the	DET
cana-3288	416	7	system	system	NOUN
cana-3288	416	8	supports	support	VERB
cana-3288	416	9	multi	multi	ADJ
cana-3288	416	10	-	-	ADJ
cana-3288	416	11	user	user	ADJ
cana-3288	416	12	environments	environment	NOUN
cana-3288	416	13	with	with	ADP
cana-3288	416	14	minimal	minimal	ADJ
cana-3288	416	15	perfor	perfor	NOUN
cana-3288	416	16	-	-	PUNCT
cana-3288	416	17	mance	mance	NOUN
cana-3288	416	18	degradation	degradation	NOUN
cana-3288	416	19	.	.	PUNCT
cana-3288	417	1	communications	communication	NOUN
cana-3288	417	2	on	on	ADP
cana-3288	417	3	applied	apply	VERB
cana-3288	417	4	nonlinear	nonlinear	ADJ
cana-3288	417	5	analysis	analysis	NOUN
cana-3288	417	6	issn	issn	NOUN
cana-3288	417	7	:	:	PUNCT
cana-3288	417	8	1074	1074	NUM
cana-3288	417	9	-	-	PUNCT
cana-3288	417	10	133x	133x	NUM
cana-3288	417	11	vol	vol	NOUN
cana-3288	417	12	32	32	NUM
cana-3288	417	13	no	no	NOUN
cana-3288	417	14	.	.	PUNCT
cana-3288	418	1	6s	6s	NUM
cana-3288	418	2	(	(	PUNCT
cana-3288	418	3	2025	2025	NUM
cana-3288	418	4	)	)	PUNCT
cana-3288	418	5	239	239	NUM
cana-3288	418	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3288	418	7	conclusion	conclusion	NOUN
cana-3288	418	8	the	the	DET
cana-3288	418	9	integration	integration	NOUN
cana-3288	418	10	of	of	ADP
cana-3288	418	11	low	low	ADJ
cana-3288	418	12	-	-	PUNCT
cana-3288	418	13	density	density	NOUN
cana-3288	418	14	parity	parity	NOUN
cana-3288	418	15	-	-	PUNCT
cana-3288	418	16	check	check	NOUN
cana-3288	418	17	(	(	PUNCT
cana-3288	418	18	ldpc	ldpc	NOUN
cana-3288	418	19	)	)	PUNCT
cana-3288	418	20	codes	code	NOUN
cana-3288	418	21	within	within	ADP
cana-3288	418	22	the	the	DET
cana-3288	418	23	niederreiter	niederreiter	NOUN
cana-3288	418	24	cryptosystem	cryptosystem	NOUN
cana-3288	418	25	presents	present	VERB
cana-3288	418	26	a	a	DET
cana-3288	418	27	promising	promising	ADJ
cana-3288	418	28	advancement	advancement	NOUN
cana-3288	418	29	in	in	ADP
cana-3288	418	30	post	post	ADJ
cana-3288	418	31	-	-	ADJ
cana-3288	418	32	quantum	quantum	ADJ
cana-3288	418	33	cryptography	cryptography	NOUN
cana-3288	418	34	,	,	PUNCT
cana-3288	418	35	addressing	address	VERB
cana-3288	418	36	both	both	CCONJ
cana-3288	418	37	security	security	NOUN
cana-3288	418	38	and	and	CCONJ
cana-3288	418	39	effi	effi	PROPN
cana-3288	418	40	ciency	ciency	NOUN
cana-3288	418	41	challenges	challenge	VERB
cana-3288	418	42	inherent	inherent	ADJ
cana-3288	418	43	in	in	ADP
cana-3288	418	44	traditional	traditional	ADJ
cana-3288	418	45	implementations	implementation	NOUN
cana-3288	418	46	.	.	PUNCT
cana-3288	419	1	by	by	ADP
cana-3288	419	2	leveraging	leverage	VERB
cana-3288	419	3	the	the	DET
cana-3288	419	4	sparse	sparse	ADJ
cana-3288	419	5	structure	structure	NOUN
cana-3288	419	6	of	of	ADP
cana-3288	419	7	ldpc	ldpc	NOUN
cana-3288	419	8	codes	code	NOUN
cana-3288	419	9	,	,	PUNCT
cana-3288	419	10	this	this	DET
cana-3288	419	11	optimized	optimize	VERB
cana-3288	419	12	approach	approach	NOUN
cana-3288	419	13	successfully	successfully	ADV
cana-3288	419	14	reduces	reduce	VERB
cana-3288	419	15	key	key	ADJ
cana-3288	419	16	sizes	size	NOUN
cana-3288	419	17	and	and	CCONJ
cana-3288	419	18	enhances	enhance	VERB
cana-3288	419	19	decoding	decode	VERB
cana-3288	419	20	efficiency	efficiency	NOUN
cana-3288	419	21	,	,	PUNCT
cana-3288	419	22	mak	mak	PROPN
cana-3288	419	23	ing	ing	VERB
cana-3288	419	24	it	it	PRON
cana-3288	419	25	highly	highly	ADV
cana-3288	419	26	suitable	suitable	ADJ
cana-3288	419	27	for	for	ADP
cana-3288	419	28	resource	resource	NOUN
cana-3288	419	29	-	-	PUNCT
cana-3288	419	30	constrained	constrain	VERB
cana-3288	419	31	environments	environment	NOUN
cana-3288	419	32	such	such	ADJ
cana-3288	419	33	as	as	ADP
cana-3288	419	34	the	the	DET
cana-3288	419	35	internet	internet	NOUN
cana-3288	419	36	of	of	ADP
cana-3288	419	37	things	thing	NOUN
cana-3288	419	38	(	(	PUNCT
cana-3288	419	39	iot	iot	NOUN
cana-3288	419	40	)	)	PUNCT
cana-3288	419	41	and	and	CCONJ
cana-3288	419	42	large	large	ADJ
cana-3288	419	43	-	-	PUNCT
cana-3288	419	44	scale	scale	NOUN
cana-3288	419	45	communication	communication	NOUN
cana-3288	419	46	networks	network	NOUN
cana-3288	419	47	.	.	PUNCT
cana-3288	420	1	our	our	PRON
cana-3288	420	2	analysis	analysis	NOUN
cana-3288	420	3	demonstrates	demonstrate	VERB
cana-3288	420	4	that	that	SCONJ
cana-3288	420	5	the	the	DET
cana-3288	420	6	ldpc	ldpc	NOUN
cana-3288	420	7	-	-	PUNCT
cana-3288	420	8	enhanced	enhance	VERB
cana-3288	420	9	niederreiter	niederreiter	NOUN
cana-3288	420	10	system	system	NOUN
cana-3288	420	11	not	not	PART
cana-3288	420	12	only	only	ADV
cana-3288	420	13	preserves	preserve	VERB
cana-3288	420	14	the	the	DET
cana-3288	420	15	strong	strong	ADJ
cana-3288	420	16	quantum	quantum	NOUN
cana-3288	420	17	-	-	PUNCT
cana-3288	420	18	resistant	resistant	ADJ
cana-3288	420	19	properties	property	NOUN
cana-3288	420	20	needed	need	VERB
cana-3288	420	21	to	to	PART
cana-3288	420	22	protect	protect	VERB
cana-3288	420	23	against	against	ADP
cana-3288	420	24	threats	threat	NOUN
cana-3288	420	25	posed	pose	VERB
cana-3288	420	26	by	by	ADP
cana-3288	420	27	quantum	quantum	ADJ
cana-3288	420	28	algorithms	algorithm	NOUN
cana-3288	420	29	but	but	CCONJ
cana-3288	420	30	also	also	ADV
cana-3288	420	31	meets	meet	VERB
cana-3288	420	32	the	the	DET
cana-3288	420	33	practical	practical	ADJ
cana-3288	420	34	demands	demand	NOUN
cana-3288	420	35	of	of	ADP
cana-3288	420	36	modern	modern	ADJ
cana-3288	420	37	applications	application	NOUN
cana-3288	420	38	.	.	PUNCT
cana-3288	421	1	this	this	PRON
cana-3288	421	2	makes	make	VERB
cana-3288	421	3	it	it	PRON
cana-3288	421	4	a	a	DET
cana-3288	421	5	versatile	versatile	ADJ
cana-3288	421	6	solution	solution	NOUN
cana-3288	421	7	,	,	PUNCT
cana-3288	421	8	bridging	bridge	VERB
cana-3288	421	9	the	the	DET
cana-3288	421	10	gap	gap	NOUN
cana-3288	421	11	between	between	ADP
cana-3288	421	12	robust	robust	ADJ
cana-3288	421	13	post	post	ADJ
cana-3288	421	14	-	-	ADJ
cana-3288	421	15	quantum	quantum	ADJ
cana-3288	421	16	security	security	NOUN
cana-3288	421	17	and	and	CCONJ
cana-3288	421	18	lightweight	lightweight	ADJ
cana-3288	421	19	performance	performance	NOUN
cana-3288	421	20	requirements	requirement	NOUN
cana-3288	421	21	.	.	PUNCT
cana-3288	422	1	future	future	ADJ
cana-3288	422	2	research	research	NOUN
cana-3288	422	3	can	can	AUX
cana-3288	422	4	further	far	ADV
cana-3288	422	5	explore	explore	VERB
cana-3288	422	6	practical	practical	ADJ
cana-3288	422	7	implementations	implementation	NOUN
cana-3288	422	8	and	and	CCONJ
cana-3288	422	9	real	real	ADJ
cana-3288	422	10	world	world	NOUN
cana-3288	422	11	performance	performance	NOUN
cana-3288	422	12	testing	testing	NOUN
cana-3288	422	13	,	,	PUNCT
cana-3288	422	14	paving	pave	VERB
cana-3288	422	15	the	the	DET
cana-3288	422	16	way	way	NOUN
cana-3288	422	17	for	for	SCONJ
cana-3288	422	18	this	this	DET
cana-3288	422	19	optimized	optimize	VERB
cana-3288	422	20	cryptographic	cryptographic	ADJ
cana-3288	422	21	solution	solution	NOUN
cana-3288	422	22	to	to	PART
cana-3288	422	23	become	become	VERB
cana-3288	422	24	a	a	DET
cana-3288	422	25	cornerstone	cornerstone	NOUN
cana-3288	422	26	in	in	ADP
cana-3288	422	27	securing	secure	VERB
cana-3288	422	28	next	next	ADJ
cana-3288	422	29	-	-	PUNCT
cana-3288	422	30	generation	generation	NOUN
cana-3288	422	31	networks	network	NOUN
cana-3288	422	32	against	against	ADP
cana-3288	422	33	quantum	quantum	NOUN
cana-3288	422	34	threats	threat	NOUN
cana-3288	422	35	.	.	PUNCT
cana-3288	423	1	this	this	DET
cana-3288	423	2	paper	paper	NOUN
cana-3288	423	3	presents	present	VERB
cana-3288	423	4	an	an	DET
cana-3288	423	5	innovative	innovative	ADJ
cana-3288	423	6	integration	integration	NOUN
cana-3288	423	7	of	of	ADP
cana-3288	423	8	low	low	ADJ
cana-3288	423	9	-	-	PUNCT
cana-3288	423	10	density	density	NOUN
cana-3288	423	11	parity	parity	NOUN
cana-3288	423	12	-	-	PUNCT
cana-3288	423	13	check	check	NOUN
cana-3288	423	14	(	(	PUNCT
cana-3288	423	15	ldpc	ldpc	NOUN
cana-3288	423	16	)	)	PUNCT
cana-3288	423	17	codes	code	NOUN
cana-3288	423	18	into	into	ADP
cana-3288	423	19	the	the	DET
cana-3288	423	20	niederreiter	niederreiter	NOUN
cana-3288	423	21	cryptosystem	cryptosystem	NOUN
cana-3288	423	22	,	,	PUNCT
cana-3288	423	23	addressing	address	VERB
cana-3288	423	24	the	the	DET
cana-3288	423	25	dual	dual	ADJ
cana-3288	423	26	challenges	challenge	NOUN
cana-3288	423	27	of	of	ADP
cana-3288	423	28	efficiency	efficiency	NOUN
cana-3288	423	29	and	and	CCONJ
cana-3288	423	30	quantum	quantum	NOUN
cana-3288	423	31	resistance	resistance	NOUN
cana-3288	423	32	.	.	PUNCT
cana-3288	424	1	the	the	DET
cana-3288	424	2	proposed	propose	VERB
cana-3288	424	3	methodology	methodology	NOUN
cana-3288	424	4	reduces	reduce	VERB
cana-3288	424	5	key	key	ADJ
cana-3288	424	6	sizes	size	NOUN
cana-3288	424	7	by	by	ADP
cana-3288	424	8	leveraging	leverage	VERB
cana-3288	424	9	the	the	DET
cana-3288	424	10	sparse	sparse	ADJ
cana-3288	424	11	structure	structure	NOUN
cana-3288	424	12	of	of	ADP
cana-3288	424	13	ldpc	ldpc	NOUN
cana-3288	424	14	matrices	matrix	NOUN
cana-3288	424	15	while	while	SCONJ
cana-3288	424	16	ensuring	ensure	VERB
cana-3288	424	17	fast	fast	ADJ
cana-3288	424	18	and	and	CCONJ
cana-3288	424	19	reliable	reliable	ADJ
cana-3288	424	20	encryption	encryption	NOUN
cana-3288	424	21	and	and	CCONJ
cana-3288	424	22	decryption	decryption	NOUN
cana-3288	424	23	processes	process	NOUN
cana-3288	424	24	.	.	PUNCT
cana-3288	425	1	key	key	ADJ
cana-3288	425	2	highlights	highlight	NOUN
cana-3288	425	3	of	of	ADP
cana-3288	425	4	the	the	DET
cana-3288	425	5	study	study	NOUN
cana-3288	425	6	include	include	VERB
cana-3288	425	7	:	:	PUNCT
cana-3288	425	8	a	a	DET
cana-3288	425	9	50	50	NUM
cana-3288	425	10	%	%	NOUN
cana-3288	425	11	reduction	reduction	NOUN
cana-3288	425	12	in	in	ADP
cana-3288	425	13	key	key	ADJ
cana-3288	425	14	sizes	size	NOUN
cana-3288	425	15	compared	compare	VERB
cana-3288	425	16	to	to	ADP
cana-3288	425	17	traditional	traditional	ADJ
cana-3288	425	18	niederreiter	niederreiter	NOUN
cana-3288	425	19	implementations	implementation	NOUN
cana-3288	425	20	,	,	PUNCT
cana-3288	425	21	making	make	VERB
cana-3288	425	22	it	it	PRON
cana-3288	425	23	suitable	suitable	ADJ
cana-3288	425	24	for	for	ADP
cana-3288	425	25	resource	resource	NOUN
cana-3288	425	26	-	-	PUNCT
cana-3288	425	27	constrained	constrain	VERB
cana-3288	425	28	environments	environment	NOUN
cana-3288	425	29	.	.	PUNCT
cana-3288	426	1	enhanced	enhance	VERB
cana-3288	426	2	decoding	decode	VERB
cana-3288	426	3	performance	performance	NOUN
cana-3288	426	4	through	through	ADP
cana-3288	426	5	iterative	iterative	ADJ
cana-3288	426	6	algorithms	algorithm	NOUN
cana-3288	426	7	,	,	PUNCT
cana-3288	426	8	reducing	reduce	VERB
cana-3288	426	9	decryption	decryption	NOUN
cana-3288	426	10	times	time	NOUN
cana-3288	426	11	by	by	ADP
cana-3288	426	12	30	30	NUM
cana-3288	426	13	%	%	NOUN
cana-3288	426	14	.	.	PUNCT
cana-3288	427	1	strong	strong	ADJ
cana-3288	427	2	resistance	resistance	NOUN
cana-3288	427	3	against	against	ADP
cana-3288	427	4	quantum	quantum	NOUN
cana-3288	427	5	attacks	attack	NOUN
cana-3288	427	6	,	,	PUNCT
cana-3288	427	7	providing	provide	VERB
cana-3288	427	8	a	a	DET
cana-3288	427	9	secure	secure	ADJ
cana-3288	427	10	foundation	foundation	NOUN
cana-3288	427	11	for	for	ADP
cana-3288	427	12	nextgeneration	nextgeneration	NOUN
cana-3288	427	13	cryptosystems	cryptosystem	NOUN
cana-3288	427	14	.	.	PUNCT
cana-3288	428	1	applications	application	NOUN
cana-3288	428	2	of	of	ADP
cana-3288	428	3	the	the	DET
cana-3288	428	4	optimized	optimize	VERB
cana-3288	428	5	cryptosystem	cryptosystem	NOUN
cana-3288	428	6	span	span	VERB
cana-3288	428	7	critical	critical	ADJ
cana-3288	428	8	domains	domain	NOUN
cana-3288	428	9	such	such	ADJ
cana-3288	428	10	as	as	ADP
cana-3288	428	11	iot	iot	NOUN
cana-3288	428	12	,	,	PUNCT
cana-3288	428	13	healthcare	healthcare	PROPN
cana-3288	428	14	,	,	PUNCT
cana-3288	428	15	cloud	cloud	NOUN
cana-3288	428	16	computing	computing	NOUN
cana-3288	428	17	,	,	PUNCT
cana-3288	428	18	and	and	CCONJ
cana-3288	428	19	smart	smart	ADJ
cana-3288	428	20	cities	city	NOUN
cana-3288	428	21	,	,	PUNCT
cana-3288	428	22	demonstrating	demonstrate	VERB
cana-3288	428	23	its	its	PRON
cana-3288	428	24	practical	practical	ADJ
cana-3288	428	25	relevance	relevance	NOUN
cana-3288	428	26	and	and	CCONJ
cana-3288	428	27	potential	potential	NOUN
cana-3288	428	28	for	for	ADP
cana-3288	428	29	real	real	ADJ
cana-3288	428	30	-	-	PUNCT
cana-3288	428	31	world	world	NOUN
cana-3288	428	32	deployment	deployment	NOUN
cana-3288	428	33	.	.	PUNCT
cana-3288	429	1	this	this	DET
cana-3288	429	2	work	work	NOUN
cana-3288	429	3	lays	lay	VERB
cana-3288	429	4	the	the	DET
cana-3288	429	5	groundwork	groundwork	NOUN
cana-3288	429	6	for	for	ADP
cana-3288	429	7	future	future	ADJ
cana-3288	429	8	exploration	exploration	NOUN
cana-3288	429	9	of	of	ADP
cana-3288	429	10	hybrid	hybrid	ADJ
cana-3288	429	11	postquantum	postquantum	NOUN
cana-3288	429	12	systems	system	NOUN
cana-3288	429	13	,	,	PUNCT
cana-3288	429	14	integrating	integrate	VERB
cana-3288	429	15	other	other	ADJ
cana-3288	429	16	error	error	NOUN
cana-3288	429	17	-	-	PUNCT
cana-3288	429	18	correcting	correct	VERB
cana-3288	429	19	codes	code	NOUN
cana-3288	429	20	or	or	CCONJ
cana-3288	429	21	cryptographic	cryptographic	ADJ
cana-3288	429	22	primitives	primitive	NOUN
cana-3288	429	23	.	.	PUNCT
cana-3288	430	1	further	further	ADJ
cana-3288	430	2	research	research	NOUN
cana-3288	430	3	can	can	AUX
cana-3288	430	4	focus	focus	VERB
cana-3288	430	5	on	on	ADP
cana-3288	430	6	hardware	hardware	NOUN
cana-3288	430	7	implementations	implementation	NOUN
cana-3288	430	8	and	and	CCONJ
cana-3288	430	9	energy	energy	NOUN
cana-3288	430	10	optimization	optimization	NOUN
cana-3288	430	11	to	to	PART
cana-3288	430	12	expand	expand	VERB
cana-3288	430	13	the	the	DET
cana-3288	430	14	utility	utility	NOUN
cana-3288	430	15	of	of	ADP
cana-3288	430	16	the	the	DET
cana-3288	430	17	proposed	propose	VERB
cana-3288	430	18	system	system	NOUN
cana-3288	430	19	in	in	ADP
cana-3288	430	20	ultra	ultra	ADJ
cana-3288	430	21	-	-	ADJ
cana-3288	430	22	constrained	constrained	ADJ
cana-3288	430	23	environments	environment	NOUN
cana-3288	430	24	.	.	PUNCT
cana-3288	431	1	future	future	ADJ
cana-3288	431	2	work	work	NOUN
cana-3288	431	3	building	build	VERB
cana-3288	431	4	on	on	ADP
cana-3288	431	5	the	the	DET
cana-3288	431	6	promising	promising	ADJ
cana-3288	431	7	results	result	NOUN
cana-3288	431	8	of	of	ADP
cana-3288	431	9	integrating	integrate	VERB
cana-3288	431	10	ldpc	ldpc	NOUN
cana-3288	431	11	codes	code	NOUN
cana-3288	431	12	with	with	ADP
cana-3288	431	13	the	the	DET
cana-3288	431	14	niederreiter	niederreiter	NOUN
cana-3288	431	15	cryptosystem	cryptosystem	NOUN
cana-3288	431	16	,	,	PUNCT
cana-3288	431	17	several	several	ADJ
cana-3288	431	18	avenues	avenue	NOUN
cana-3288	431	19	for	for	ADP
cana-3288	431	20	future	future	ADJ
cana-3288	431	21	research	research	NOUN
cana-3288	431	22	can	can	AUX
cana-3288	431	23	enhance	enhance	VERB
cana-3288	431	24	and	and	CCONJ
cana-3288	431	25	validate	validate	VERB
cana-3288	431	26	this	this	DET
cana-3288	431	27	approach	approach	NOUN
cana-3288	431	28	further	far	ADV
cana-3288	431	29	.	.	PUNCT
cana-3288	432	1	first	first	ADV
cana-3288	432	2	,	,	PUNCT
cana-3288	432	3	extensive	extensive	ADJ
cana-3288	432	4	realworld	realworld	NOUN
cana-3288	432	5	implementation	implementation	NOUN
cana-3288	432	6	and	and	CCONJ
cana-3288	432	7	testing	testing	NOUN
cana-3288	432	8	across	across	ADP
cana-3288	432	9	various	various	ADJ
cana-3288	432	10	iot	iot	NOUN
cana-3288	432	11	and	and	CCONJ
cana-3288	432	12	large	large	ADJ
cana-3288	432	13	-	-	PUNCT
cana-3288	432	14	scale	scale	NOUN
cana-3288	432	15	communication	communication	NOUN
cana-3288	432	16	environments	environment	NOUN
cana-3288	432	17	are	be	AUX
cana-3288	432	18	necessary	necessary	ADJ
cana-3288	432	19	to	to	PART
cana-3288	432	20	assess	assess	VERB
cana-3288	432	21	practical	practical	ADJ
cana-3288	432	22	performance	performance	NOUN
cana-3288	432	23	under	under	ADP
cana-3288	432	24	different	different	ADJ
cana-3288	432	25	operating	operating	NOUN
cana-3288	432	26	conditions	condition	NOUN
cana-3288	432	27	,	,	PUNCT
cana-3288	432	28	such	such	ADJ
cana-3288	432	29	as	as	ADP
cana-3288	432	30	varying	vary	VERB
cana-3288	432	31	device	device	NOUN
cana-3288	432	32	constraints	constraint	NOUN
cana-3288	432	33	and	and	CCONJ
cana-3288	432	34	network	network	NOUN
cana-3288	432	35	demands	demand	NOUN
cana-3288	432	36	.	.	PUNCT
cana-3288	433	1	optimizing	optimize	VERB
cana-3288	433	2	the	the	DET
cana-3288	433	3	ldpc	ldpc	NOUN
cana-3288	433	4	decoding	decode	VERB
cana-3288	433	5	algorithms	algorithm	NOUN
cana-3288	433	6	for	for	ADP
cana-3288	433	7	minimal	minimal	ADJ
cana-3288	433	8	power	power	NOUN
cana-3288	433	9	consumption	consumption	NOUN
cana-3288	433	10	and	and	CCONJ
cana-3288	433	11	response	response	NOUN
cana-3288	433	12	time	time	NOUN
cana-3288	433	13	could	could	AUX
cana-3288	433	14	further	far	ADV
cana-3288	433	15	improve	improve	VERB
cana-3288	433	16	suitability	suitability	NOUN
cana-3288	433	17	for	for	ADP
cana-3288	433	18	low	low	ADJ
cana-3288	433	19	-	-	PUNCT
cana-3288	433	20	power	power	NOUN
cana-3288	433	21	devices	device	NOUN
cana-3288	433	22	.	.	PUNCT
cana-3288	434	1	additionally	additionally	ADV
cana-3288	434	2	,	,	PUNCT
cana-3288	434	3	exploring	explore	VERB
cana-3288	434	4	alternative	alternative	ADJ
cana-3288	434	5	sparse	sparse	ADJ
cana-3288	434	6	code	code	NOUN
cana-3288	434	7	structures	structure	NOUN
cana-3288	434	8	,	,	PUNCT
cana-3288	434	9	such	such	ADJ
cana-3288	434	10	as	as	ADP
cana-3288	434	11	quasi	quasi	ADJ
cana-3288	434	12	-	-	ADJ
cana-3288	434	13	cyclic	cyclic	ADJ
cana-3288	434	14	ldpc	ldpc	NOUN
cana-3288	434	15	(	(	PUNCT
cana-3288	434	16	qc	qc	NOUN
cana-3288	434	17	-	-	PUNCT
cana-3288	434	18	ldpc	ldpc	NOUN
cana-3288	434	19	)	)	PUNCT
cana-3288	434	20	codes	code	NOUN
cana-3288	434	21	,	,	PUNCT
cana-3288	434	22	may	may	AUX
cana-3288	434	23	yield	yield	VERB
cana-3288	434	24	even	even	ADV
cana-3288	434	25	greater	great	ADJ
cana-3288	434	26	key	key	ADJ
cana-3288	434	27	size	size	NOUN
cana-3288	434	28	reductions	reduction	NOUN
cana-3288	434	29	and	and	CCONJ
cana-3288	434	30	processing	processing	NOUN
cana-3288	434	31	efficiency	efficiency	NOUN
cana-3288	434	32	.	.	PUNCT
cana-3288	435	1	for	for	ADP
cana-3288	435	2	enhanced	enhanced	ADJ
cana-3288	435	3	security	security	NOUN
cana-3288	435	4	,	,	PUNCT
cana-3288	435	5	it	it	PRON
cana-3288	435	6	would	would	AUX
cana-3288	435	7	be	be	AUX
cana-3288	435	8	beneficial	beneficial	ADJ
cana-3288	435	9	to	to	PART
cana-3288	435	10	conduct	conduct	VERB
cana-3288	435	11	rigorous	rigorous	ADJ
cana-3288	435	12	vulnerability	vulnerability	NOUN
cana-3288	435	13	testing	testing	NOUN
cana-3288	435	14	,	,	PUNCT
cana-3288	435	15	particularly	particularly	ADV
cana-3288	435	16	against	against	ADP
cana-3288	435	17	emerging	emerge	VERB
cana-3288	435	18	quantum	quantum	NOUN
cana-3288	435	19	and	and	CCONJ
cana-3288	435	20	hybrid	hybrid	ADJ
cana-3288	435	21	quantum	quantum	NOUN
cana-3288	435	22	-	-	PUNCT
cana-3288	435	23	classical	classical	ADJ
cana-3288	435	24	attacks	attack	NOUN
cana-3288	435	25	,	,	PUNCT
cana-3288	435	26	to	to	PART
cana-3288	435	27	solidify	solidify	VERB
cana-3288	435	28	the	the	DET
cana-3288	435	29	system	system	NOUN
cana-3288	435	30	’s	’s	PART
cana-3288	435	31	resilience	resilience	NOUN
cana-3288	435	32	.	.	PUNCT
cana-3288	436	1	investigating	investigate	VERB
cana-3288	436	2	the	the	DET
cana-3288	436	3	adaptability	adaptability	NOUN
cana-3288	436	4	of	of	ADP
cana-3288	436	5	this	this	DET
cana-3288	436	6	optimized	optimize	VERB
cana-3288	436	7	cryptosystem	cryptosystem	NOUN
cana-3288	436	8	within	within	ADP
cana-3288	436	9	multiparty	multiparty	NOUN
cana-3288	436	10	and	and	CCONJ
cana-3288	436	11	distributed	distribute	VERB
cana-3288	436	12	key	key	ADJ
cana-3288	436	13	exchange	exchange	NOUN
cana-3288	436	14	frameworks	framework	NOUN
cana-3288	436	15	could	could	AUX
cana-3288	436	16	also	also	ADV
cana-3288	436	17	expand	expand	VERB
cana-3288	436	18	its	its	PRON
cana-3288	436	19	application	application	NOUN
cana-3288	436	20	scope	scope	NOUN
cana-3288	436	21	,	,	PUNCT
cana-3288	436	22	enabling	enable	VERB
cana-3288	436	23	secure	secure	ADJ
cana-3288	436	24	,	,	PUNCT
cana-3288	436	25	large	large	ADJ
cana-3288	436	26	-	-	PUNCT
cana-3288	436	27	scale	scale	NOUN
cana-3288	436	28	deployments	deployment	NOUN
cana-3288	436	29	in	in	ADP
cana-3288	436	30	environments	environment	NOUN
cana-3288	436	31	like	like	ADP
cana-3288	436	32	smart	smart	ADJ
cana-3288	436	33	cities	city	NOUN
cana-3288	436	34	,	,	PUNCT
cana-3288	436	35	automated	automate	VERB
cana-3288	436	36	industry	industry	NOUN
cana-3288	436	37	networks	network	NOUN
cana-3288	436	38	,	,	PUNCT
cana-3288	436	39	and	and	CCONJ
cana-3288	436	40	secure	secure	VERB
cana-3288	436	41	data	data	NOUN
cana-3288	436	42	aggregation	aggregation	NOUN
cana-3288	436	43	systems	system	NOUN
cana-3288	436	44	.	.	PUNCT
cana-3288	437	1	finally	finally	ADV
cana-3288	437	2	,	,	PUNCT
cana-3288	437	3	developing	develop	VERB
cana-3288	437	4	a	a	DET
cana-3288	437	5	standardized	standardized	ADJ
cana-3288	437	6	protocol	protocol	NOUN
cana-3288	437	7	around	around	ADP
cana-3288	437	8	the	the	DET
cana-3288	437	9	ldpc	ldpc	NOUN
cana-3288	437	10	-	-	PUNCT
cana-3288	437	11	based	base	VERB
cana-3288	437	12	niederreiter	niederreiter	NOUN
cana-3288	437	13	cryptosystem	cryptosystem	NOUN
cana-3288	437	14	and	and	CCONJ
cana-3288	437	15	promoting	promote	VERB
cana-3288	437	16	its	its	PRON
cana-3288	437	17	adoption	adoption	NOUN
cana-3288	437	18	within	within	ADP
cana-3288	437	19	the	the	DET
cana-3288	437	20	cryptographic	cryptographic	ADJ
cana-3288	437	21	community	community	NOUN
cana-3288	437	22	could	could	AUX
cana-3288	437	23	establish	establish	VERB
cana-3288	437	24	it	it	PRON
cana-3288	437	25	as	as	ADP
cana-3288	437	26	a	a	DET
cana-3288	437	27	reliable	reliable	ADJ
cana-3288	437	28	,	,	PUNCT
cana-3288	437	29	quantum	quantum	NOUN
cana-3288	437	30	-	-	PUNCT
cana-3288	437	31	resistant	resistant	ADJ
cana-3288	437	32	option	option	NOUN
cana-3288	437	33	in	in	ADP
cana-3288	437	34	post	post	ADJ
cana-3288	437	35	-	-	ADJ
cana-3288	437	36	quantum	quantum	ADJ
cana-3288	437	37	cryptographic	cryptographic	ADJ
cana-3288	437	38	standards.declarations	standards.declaration	NOUN
cana-3288	437	39	:	:	PUNCT
cana-3288	437	40	communications	communication	NOUN
cana-3288	437	41	on	on	ADP
cana-3288	437	42	applied	apply	VERB
cana-3288	437	43	nonlinear	nonlinear	ADJ
cana-3288	437	44	analysis	analysis	NOUN
cana-3288	437	45	issn	issn	NOUN
cana-3288	437	46	:	:	PUNCT
cana-3288	437	47	1074	1074	NUM
cana-3288	437	48	-	-	PUNCT
cana-3288	437	49	133x	133x	NUM
cana-3288	437	50	vol	vol	NOUN
cana-3288	437	51	32	32	NUM
cana-3288	437	52	no	no	NOUN
cana-3288	437	53	.	.	PUNCT
cana-3288	438	1	6s	6s	NUM
cana-3288	438	2	(	(	PUNCT
cana-3288	438	3	2025	2025	NUM
cana-3288	438	4	)	)	PUNCT
cana-3288	438	5	240	240	NUM
cana-3288	439	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-3288	439	2	ethical	ethical	ADJ
cana-3288	439	3	approval	approval	NOUN
cana-3288	439	4	:	:	PUNCT
cana-3288	439	5	not	not	PART
cana-3288	439	6	applicable	applicable	ADJ
cana-3288	439	7	conflict	conflict	NOUN
cana-3288	439	8	of	of	ADP
cana-3288	439	9	interests	interest	NOUN
cana-3288	439	10	:	:	PUNCT
cana-3288	439	11	no	no	DET
cana-3288	439	12	funding	funding	NOUN
cana-3288	439	13	:	:	PUNCT
cana-3288	439	14	currently	currently	ADV
cana-3288	439	15	no	no	DET
cana-3288	439	16	funding	funding	NOUN
cana-3288	439	17	data	data	NOUN
cana-3288	439	18	availability	availability	NOUN
cana-3288	439	19	statement	statement	NOUN
cana-3288	439	20	:	:	PUNCT
cana-3288	439	21	the	the	DET
cana-3288	439	22	data	datum	NOUN
cana-3288	439	23	that	that	PRON
cana-3288	439	24	support	support	VERB
cana-3288	439	25	the	the	DET
cana-3288	439	26	findings	finding	NOUN
cana-3288	439	27	of	of	ADP
cana-3288	439	28	this	this	DET
cana-3288	439	29	study	study	NOUN
cana-3288	439	30	,	,	PUNCT
cana-3288	439	31	are	be	AUX
cana-3288	439	32	available	available	ADJ
cana-3288	439	33	from	from	ADP
cana-3288	439	34	the	the	DET
cana-3288	439	35	corresponding	corresponding	ADJ
cana-3288	439	36	author	author	NOUN
cana-3288	439	37	,	,	PUNCT
cana-3288	439	38	upon	upon	SCONJ
cana-3288	439	39	reasonable	reasonable	ADJ
cana-3288	439	40	request	request	NOUN
cana-3288	439	41	.	.	PUNCT
cana-3288	440	1	references	reference	NOUN
cana-3288	440	2	[	[	X
cana-3288	440	3	1	1	NUM
cana-3288	440	4	]	]	X
cana-3288	440	5	paulo	paulo	PROPN
cana-3288	440	6	almeida	almeida	PROPN
cana-3288	440	7	,	,	PUNCT
cana-3288	440	8	miguel	miguel	PROPN
cana-3288	440	9	beltr´a	beltr´a	PROPN
cana-3288	440	10	,	,	PUNCT
cana-3288	440	11	and	and	CCONJ
cana-3288	440	12	diego	diego	PROPN
cana-3288	440	13	napp	napp	PROPN
cana-3288	440	14	.	.	PUNCT
cana-3288	441	1	a	a	DET
cana-3288	441	2	convolutional	convolutional	ADJ
cana-3288	441	3	variant	variant	NOUN
cana-3288	441	4	of	of	ADP
cana-3288	441	5	the	the	DET
cana-3288	441	6	niederreiter	niederreiter	ADJ
cana-3288	441	7	cryptosystem	cryptosystem	NOUN
cana-3288	441	8	with	with	ADP
cana-3288	441	9	grs	grs	PROPN
cana-3288	441	10	codes	code	NOUN
cana-3288	441	11	.	.	PUNCT
cana-3288	442	1	in	in	ADP
cana-3288	442	2	2024	2024	NUM
cana-3288	442	3	ieee	ieee	NOUN
cana-3288	442	4	international	international	ADJ
cana-3288	442	5	symposium	symposium	NOUN
cana-3288	442	6	on	on	ADP
cana-3288	442	7	information	information	NOUN
cana-3288	442	8	theory	theory	NOUN
cana-3288	442	9	(	(	PUNCT
cana-3288	442	10	isit	isit	PROPN
cana-3288	442	11	)	)	PUNCT
cana-3288	442	12	,	,	PUNCT
cana-3288	442	13	pages	page	NOUN
cana-3288	442	14	1818–1823	1818–1823	NUM
cana-3288	442	15	.	.	PUNCT
cana-3288	443	1	ieee	ieee	NOUN
cana-3288	443	2	,	,	PUNCT
cana-3288	443	3	2024.niederreiter	2024.niederreiter	NUM
cana-3288	443	4	cryptosystem	cryptosystem	NOUN
cana-3288	443	5	using	use	VERB
cana-3288	443	6	ldpc	ldpc	NOUN
cana-3288	443	7	codes	code	NOUN
cana-3288	443	8	[	[	X
cana-3288	443	9	2	2	X
cana-3288	443	10	]	]	X
cana-3288	443	11	lubjana	lubjana	PROPN
cana-3288	443	12	beshaj	beshaj	PROPN
cana-3288	443	13	and	and	CCONJ
cana-3288	443	14	andrew	andrew	PROPN
cana-3288	443	15	o	o	PROPN
cana-3288	443	16	hall	hall	PROPN
cana-3288	443	17	.	.	PUNCT
cana-3288	444	1	recent	recent	ADJ
cana-3288	444	2	developments	development	NOUN
cana-3288	444	3	in	in	ADP
cana-3288	444	4	cryptography	cryptography	NOUN
cana-3288	444	5	.	.	PUNCT
cana-3288	445	1	in	in	ADP
cana-3288	445	2	2020	2020	NUM
cana-3288	445	3	12th	12th	ADJ
cana-3288	445	4	international	international	ADJ
cana-3288	445	5	conference	conference	NOUN
cana-3288	445	6	on	on	ADP
cana-3288	445	7	cyber	cyber	ADJ
cana-3288	445	8	conflict	conflict	NOUN
cana-3288	445	9	(	(	PUNCT
cana-3288	445	10	cycon	cycon	NOUN
cana-3288	445	11	)	)	PUNCT
cana-3288	445	12	,	,	PUNCT
cana-3288	445	13	volume	volume	NOUN
cana-3288	445	14	1300	1300	NUM
cana-3288	445	15	,	,	PUNCT
cana-3288	445	16	pages	page	NOUN
cana-3288	445	17	351–368	351–368	NUM
cana-3288	445	18	.	.	PUNCT
cana-3288	445	19	ieee	ieee	NOUN
cana-3288	445	20	,	,	PUNCT
cana-3288	445	21	2020	2020	NUM
cana-3288	445	22	.	.	PUNCT
cana-3288	446	1	[	[	X
cana-3288	446	2	3	3	NUM
cana-3288	446	3	]	]	X
cana-3288	446	4	pierre	pierre	NOUN
cana-3288	446	5	-	-	PUNCT
cana-3288	446	6	louis	louis	NOUN
cana-3288	446	7	cayrel	cayrel	NOUN
cana-3288	446	8	,	,	PUNCT
cana-3288	446	9	cheikh	cheikh	PROPN
cana-3288	446	10	t	t	PROPN
cana-3288	446	11	gueye	gueye	NOUN
cana-3288	446	12	,	,	PUNCT
cana-3288	446	13	ousmane	ousmane	ADJ
cana-3288	446	14	ndiaye	ndiaye	NOUN
cana-3288	446	15	,	,	PUNCT
cana-3288	446	16	and	and	CCONJ
cana-3288	446	17	robert	robert	PROPN
cana-3288	446	18	niebuhr	niebuhr	PROPN
cana-3288	446	19	.	.	PUNCT
cana-3288	447	1	critical	critical	ADJ
cana-3288	447	2	attacks	attack	NOUN
cana-3288	447	3	in	in	ADP
cana-3288	447	4	code	code	NOUN
cana-3288	447	5	-	-	PUNCT
cana-3288	447	6	based	base	VERB
cana-3288	447	7	cryptography	cryptography	NOUN
cana-3288	447	8	.	.	PUNCT
cana-3288	448	1	international	international	ADJ
cana-3288	448	2	journal	journal	PROPN
cana-3288	448	3	of	of	ADP
cana-3288	448	4	information	information	NOUN
cana-3288	448	5	and	and	CCONJ
cana-3288	448	6	coding	code	VERB
cana-3288	448	7	theory	theory	NOUN
cana-3288	448	8	,	,	PUNCT
cana-3288	448	9	3(2):158–176	3(2):158–176	NUM
cana-3288	448	10	,	,	PUNCT
cana-3288	448	11	2015	2015	NUM
cana-3288	448	12	.	.	PUNCT
cana-3288	449	1	[	[	X
cana-3288	449	2	4	4	X
cana-3288	449	3	]	]	X
cana-3288	449	4	matthew	matthew	PROPN
cana-3288	449	5	c	c	PROPN
cana-3288	449	6	davey	davey	PROPN
cana-3288	449	7	and	and	CCONJ
cana-3288	449	8	david	david	PROPN
cana-3288	449	9	jc	jc	PROPN
cana-3288	449	10	mackay	mackay	PROPN
cana-3288	449	11	.	.	PUNCT
cana-3288	450	1	low	low	ADJ
cana-3288	450	2	density	density	NOUN
cana-3288	450	3	parity	parity	NOUN
cana-3288	450	4	check	check	NOUN
cana-3288	450	5	codes	code	NOUN
cana-3288	450	6	over	over	ADP
cana-3288	450	7	gf	gf	PROPN
cana-3288	450	8	(	(	PUNCT
cana-3288	450	9	q	q	NOUN
cana-3288	450	10	)	)	PUNCT
cana-3288	450	11	.	.	PUNCT
cana-3288	451	1	in	in	ADP
cana-3288	451	2	1998	1998	NUM
cana-3288	451	3	information	information	NOUN
cana-3288	451	4	theory	theory	NOUN
cana-3288	451	5	workshop	workshop	NOUN
cana-3288	451	6	(	(	PUNCT
cana-3288	451	7	cat	cat	NOUN
cana-3288	451	8	.	.	PUNCT
cana-3288	452	1	no	no	INTJ
cana-3288	452	2	.	.	PUNCT
cana-3288	453	1	98ex131	98ex131	NUM
cana-3288	453	2	)	)	PUNCT
cana-3288	454	1	,	,	PUNCT
cana-3288	454	2	pages	page	NOUN
cana-3288	454	3	70–71	70–71	PROPN
cana-3288	454	4	.	.	PUNCT
cana-3288	454	5	ieee	ieee	PROPN
cana-3288	454	6	,	,	PUNCT
cana-3288	454	7	1998	1998	NUM
cana-3288	454	8	.	.	PUNCT
cana-3288	455	1	[	[	X
cana-3288	455	2	5	5	X
cana-3288	455	3	]	]	PUNCT
cana-3288	455	4	hanan	hanan	PROPN
cana-3288	455	5	elazhary	elazhary	PROPN
cana-3288	455	6	.	.	PUNCT
cana-3288	456	1	internet	internet	NOUN
cana-3288	456	2	of	of	ADP
cana-3288	456	3	things	thing	NOUN
cana-3288	456	4	(	(	PUNCT
cana-3288	456	5	iot	iot	NOUN
cana-3288	456	6	)	)	PUNCT
cana-3288	456	7	,	,	PUNCT
cana-3288	456	8	mobile	mobile	ADJ
cana-3288	456	9	cloud	cloud	NOUN
cana-3288	456	10	,	,	PUNCT
cana-3288	456	11	cloudlet	cloudlet	ADV
cana-3288	456	12	,	,	PUNCT
cana-3288	456	13	mobile	mobile	ADJ
cana-3288	456	14	iot	iot	NOUN
cana-3288	456	15	,	,	PUNCT
cana-3288	456	16	iot	iot	PROPN
cana-3288	456	17	cloud	cloud	PROPN
cana-3288	456	18	,	,	PUNCT
cana-3288	456	19	fog	fog	PROPN
cana-3288	456	20	,	,	PUNCT
cana-3288	456	21	mobile	mobile	ADJ
cana-3288	456	22	edge	edge	NOUN
cana-3288	456	23	,	,	PUNCT
cana-3288	456	24	and	and	CCONJ
cana-3288	456	25	edge	edge	VERB
cana-3288	456	26	emerging	emerge	VERB
cana-3288	456	27	computing	computing	NOUN
cana-3288	456	28	paradigms	paradigm	NOUN
cana-3288	456	29	:	:	PUNCT
cana-3288	456	30	disambiguation	disambiguation	NOUN
cana-3288	456	31	and	and	CCONJ
cana-3288	456	32	research	research	NOUN
cana-3288	456	33	directions	direction	NOUN
cana-3288	456	34	.	.	PUNCT
cana-3288	457	1	journal	journal	NOUN
cana-3288	457	2	of	of	ADP
cana-3288	457	3	network	network	NOUN
cana-3288	457	4	and	and	CCONJ
cana-3288	457	5	computer	computer	NOUN
cana-3288	457	6	applications	application	NOUN
cana-3288	457	7	,	,	PUNCT
cana-3288	457	8	128:105–140	128:105–140	NUM
cana-3288	457	9	,	,	PUNCT
cana-3288	457	10	2019	2019	NUM
cana-3288	457	11	.	.	PUNCT
cana-3288	458	1	[	[	X
cana-3288	458	2	6	6	NUM
cana-3288	458	3	]	]	SYM
cana-3288	458	4	r	r	NOUN
cana-3288	458	5	gallager	gallager	NOUN
cana-3288	458	6	.	.	PUNCT
cana-3288	459	1	a	a	DET
cana-3288	459	2	simple	simple	ADJ
cana-3288	459	3	derivation	derivation	NOUN
cana-3288	459	4	of	of	ADP
cana-3288	459	5	the	the	DET
cana-3288	459	6	coding	coding	NOUN
cana-3288	459	7	theorem	theorem	NOUN
cana-3288	459	8	and	and	CCONJ
cana-3288	459	9	some	some	DET
cana-3288	459	10	applications	application	NOUN
cana-3288	459	11	.	.	PUNCT
cana-3288	460	1	ieee	ieee	NOUN
cana-3288	460	2	transactions	transaction	NOUN
cana-3288	460	3	on	on	ADP
cana-3288	460	4	information	information	NOUN
cana-3288	460	5	theory	theory	NOUN
cana-3288	460	6	,	,	PUNCT
cana-3288	460	7	11(1):3–18	11(1):3–18	NUM
cana-3288	460	8	,	,	PUNCT
cana-3288	460	9	1965	1965	NUM
cana-3288	460	10	.	.	PUNCT
cana-3288	461	1	[	[	X
cana-3288	461	2	7	7	X
cana-3288	461	3	]	]	X
cana-3288	461	4	robert	robert	PROPN
cana-3288	461	5	gallager	gallager	PROPN
cana-3288	461	6	.	.	PUNCT
cana-3288	462	1	low	low	ADJ
cana-3288	462	2	-	-	PUNCT
cana-3288	462	3	density	density	NOUN
cana-3288	462	4	parity	parity	NOUN
cana-3288	462	5	-	-	PUNCT
cana-3288	462	6	check	check	NOUN
cana-3288	462	7	codes	code	NOUN
cana-3288	462	8	.	.	PUNCT
cana-3288	463	1	ire	ire	ADJ
cana-3288	463	2	transactions	transaction	NOUN
cana-3288	463	3	on	on	ADP
cana-3288	463	4	information	information	NOUN
cana-3288	463	5	theory	theory	NOUN
cana-3288	463	6	,	,	PUNCT
cana-3288	463	7	8(1):21–28	8(1):21–28	NUM
cana-3288	463	8	,	,	PUNCT
cana-3288	463	9	1962	1962	NUM
cana-3288	463	10	.	.	PUNCT
cana-3288	464	1	[	[	X
cana-3288	464	2	8	8	NUM
cana-3288	464	3	]	]	X
cana-3288	464	4	vignesh	vignesh	NOUN
cana-3288	464	5	govindraj	govindraj	ADJ
cana-3288	464	6	,	,	PUNCT
cana-3288	464	7	mithileysh	mithileysh	NOUN
cana-3288	464	8	sathiyanarayanan	sathiyanarayanan	NOUN
cana-3288	464	9	,	,	PUNCT
cana-3288	464	10	and	and	CCONJ
cana-3288	464	11	babangida	babangida	ADJ
cana-3288	464	12	abubakar	abubakar	PROPN
cana-3288	464	13	.	.	PUNCT
cana-3288	465	1	customary	customary	ADJ
cana-3288	465	2	homes	home	NOUN
cana-3288	465	3	to	to	ADP
cana-3288	465	4	smart	smart	ADJ
cana-3288	465	5	homes	home	NOUN
cana-3288	465	6	using	use	VERB
cana-3288	465	7	internet	internet	NOUN
cana-3288	465	8	of	of	ADP
cana-3288	465	9	things	thing	NOUN
cana-3288	465	10	(	(	PUNCT
cana-3288	465	11	iot	iot	NOUN
cana-3288	465	12	)	)	PUNCT
cana-3288	465	13	and	and	CCONJ
cana-3288	465	14	mobile	mobile	ADJ
cana-3288	465	15	application	application	NOUN
cana-3288	465	16	.	.	PUNCT
cana-3288	466	1	in	in	ADP
cana-3288	466	2	2017	2017	NUM
cana-3288	466	3	international	international	ADJ
cana-3288	466	4	conference	conference	NOUN
cana-3288	466	5	on	on	ADP
cana-3288	466	6	smart	smart	ADJ
cana-3288	466	7	technologies	technology	NOUN
cana-3288	466	8	for	for	ADP
cana-3288	466	9	smart	smart	ADJ
cana-3288	466	10	nation	nation	NOUN
cana-3288	466	11	(	(	PUNCT
cana-3288	466	12	smarttechcon	smarttechcon	PROPN
cana-3288	466	13	)	)	PUNCT
cana-3288	466	14	,	,	PUNCT
cana-3288	466	15	pages	page	NOUN
cana-3288	466	16	1059–1063	1059–1063	NUM
cana-3288	466	17	.	.	PUNCT
cana-3288	466	18	ieee	ieee	NOUN
cana-3288	466	19	,	,	PUNCT
cana-3288	466	20	2017	2017	NUM
cana-3288	466	21	.	.	PUNCT
cana-3288	467	1	[	[	X
cana-3288	467	2	9	9	NUM
cana-3288	467	3	]	]	PUNCT
cana-3288	467	4	sk	sk	VERB
cana-3288	467	5	halim	halim	PROPN
cana-3288	467	6	and	and	CCONJ
cana-3288	467	7	ka	ka	PROPN
cana-3288	467	8	sugeng	sugeng	PROPN
cana-3288	467	9	.	.	PUNCT
cana-3288	468	1	application	application	NOUN
cana-3288	468	2	of	of	ADP
cana-3288	468	3	goppa	goppa	PROPN
cana-3288	468	4	code	code	PROPN
cana-3288	468	5	in	in	ADP
cana-3288	468	6	niederreiter	niederreiter	ADJ
cana-3288	468	7	cryptosystem	cryptosystem	NOUN
cana-3288	468	8	.	.	PUNCT
cana-3288	469	1	in	in	ADP
cana-3288	469	2	aip	aip	PROPN
cana-3288	469	3	conference	conference	NOUN
cana-3288	469	4	proceedings	proceeding	NOUN
cana-3288	469	5	,	,	PUNCT
cana-3288	469	6	volume	volume	NOUN
cana-3288	469	7	3163	3163	NUM
cana-3288	469	8	.	.	PUNCT
cana-3288	470	1	aip	aip	PROPN
cana-3288	470	2	publishing	publishing	PROPN
cana-3288	470	3	,	,	PUNCT
cana-3288	470	4	2024	2024	NUM
cana-3288	470	5	.	.	PUNCT
cana-3288	471	1	[	[	X
cana-3288	471	2	10	10	NUM
cana-3288	471	3	]	]	X
cana-3288	471	4	arash	arash	PROPN
cana-3288	471	5	khalvan	khalvan	PROPN
cana-3288	471	6	,	,	PUNCT
cana-3288	471	7	amirhossein	amirhossein	NOUN
cana-3288	471	8	zali	zali	VERB
cana-3288	471	9	,	,	PUNCT
cana-3288	471	10	and	and	CCONJ
cana-3288	471	11	mahmoud	mahmoud	PROPN
cana-3288	471	12	ahmadian	ahmadian	PROPN
cana-3288	471	13	attari	attari	PROPN
cana-3288	471	14	.	.	PUNCT
cana-3288	472	1	a	a	DET
cana-3288	472	2	tiny	tiny	ADJ
cana-3288	472	3	public	public	ADJ
cana-3288	472	4	key	key	ADJ
cana-3288	472	5	scheme	scheme	NOUN
cana-3288	472	6	based	base	VERB
cana-3288	472	7	on	on	ADP
cana-3288	472	8	niederreiter	niederreiter	ADJ
cana-3288	472	9	cryptosystem	cryptosystem	NOUN
cana-3288	472	10	.	.	PUNCT
cana-3288	473	1	arxiv	arxiv	PROPN
cana-3288	473	2	preprint	preprint	PROPN
cana-3288	473	3	arxiv:2310.06724	arxiv:2310.06724	NOUN
cana-3288	473	4	,	,	PUNCT
cana-3288	473	5	2023	2023	NUM
cana-3288	473	6	.	.	PUNCT
cana-3288	474	1	[	[	X
cana-3288	474	2	11	11	NUM
cana-3288	474	3	]	]	X
cana-3288	474	4	abhishek	abhishek	PROPN
cana-3288	474	5	khanna	khanna	PROPN
cana-3288	474	6	and	and	CCONJ
cana-3288	474	7	sanmeet	sanmeet	PROPN
cana-3288	474	8	kaur	kaur	PROPN
cana-3288	474	9	.	.	PUNCT
cana-3288	475	1	internet	internet	NOUN
cana-3288	475	2	of	of	ADP
cana-3288	475	3	things	thing	NOUN
cana-3288	475	4	(	(	PUNCT
cana-3288	475	5	iot	iot	NOUN
cana-3288	475	6	)	)	PUNCT
cana-3288	475	7	,	,	PUNCT
cana-3288	475	8	applications	application	NOUN
cana-3288	475	9	and	and	CCONJ
cana-3288	475	10	challenges	challenge	NOUN
cana-3288	475	11	:	:	PUNCT
cana-3288	475	12	a	a	DET
cana-3288	475	13	comprehensive	comprehensive	ADJ
cana-3288	475	14	review	review	NOUN
cana-3288	475	15	.	.	PUNCT
cana-3288	476	1	wireless	wireless	ADJ
cana-3288	476	2	personal	personal	ADJ
cana-3288	476	3	communications	communication	NOUN
cana-3288	476	4	,	,	PUNCT
cana-3288	476	5	114:1687–1762	114:1687–1762	NUM
cana-3288	476	6	,	,	PUNCT
cana-3288	476	7	2020	2020	NUM
cana-3288	476	8	.	.	PUNCT
cana-3288	477	1	[	[	X
cana-3288	477	2	12	12	NUM
cana-3288	477	3	]	]	X
cana-3288	477	4	san	san	PROPN
cana-3288	477	5	ling	ling	PROPN
cana-3288	477	6	and	and	CCONJ
cana-3288	477	7	patrick	patrick	PROPN
cana-3288	477	8	sol´e	sol´e	PROPN
cana-3288	477	9	.	.	PUNCT
cana-3288	478	1	on	on	ADP
cana-3288	478	2	the	the	DET
cana-3288	478	3	algebraic	algebraic	ADJ
cana-3288	478	4	structure	structure	NOUN
cana-3288	478	5	of	of	ADP
cana-3288	478	6	quasi	quasi	ADJ
cana-3288	478	7	-	-	ADJ
cana-3288	478	8	cyclic	cyclic	ADJ
cana-3288	478	9	codes	code	NOUN
cana-3288	478	10	.	.	PUNCT
cana-3288	479	1	i.	i.	PROPN
cana-3288	479	2	finite	finite	PROPN
cana-3288	479	3	fields	fields	PROPN
cana-3288	479	4	.	.	PUNCT
cana-3288	480	1	ieee	ieee	NOUN
cana-3288	480	2	transactions	transaction	NOUN
cana-3288	480	3	on	on	ADP
cana-3288	480	4	information	information	NOUN
cana-3288	480	5	theory	theory	NOUN
cana-3288	480	6	,	,	PUNCT
cana-3288	480	7	47(7):2751–2760	47(7):2751–2760	PROPN
cana-3288	480	8	,	,	PUNCT
cana-3288	480	9	2001	2001	NUM
cana-3288	480	10	.	.	PUNCT
cana-3288	481	1	[	[	X
cana-3288	481	2	13	13	NUM
cana-3288	481	3	]	]	PUNCT
cana-3288	481	4	naercio	naercio	NOUN
cana-3288	481	5	magaia	magaia	PROPN
cana-3288	481	6	,	,	PUNCT
cana-3288	481	7	pedro	pedro	PROPN
cana-3288	481	8	gomes	gomes	PROPN
cana-3288	481	9	,	,	PUNCT
cana-3288	481	10	lion	lion	PROPN
cana-3288	481	11	silva	silva	PROPN
cana-3288	481	12	,	,	PUNCT
cana-3288	481	13	breno	breno	PROPN
cana-3288	481	14	sousa	sousa	PROPN
cana-3288	481	15	,	,	PUNCT
cana-3288	481	16	constandinos	constandinos	PROPN
cana-3288	481	17	x	x	PUNCT
cana-3288	481	18	mavromoustakis	mavromoustakis	NOUN
cana-3288	481	19	,	,	PUNCT
cana-3288	481	20	and	and	CCONJ
cana-3288	481	21	george	george	PROPN
cana-3288	481	22	mastorakis	mastorakis	PROPN
cana-3288	481	23	.	.	PUNCT
cana-3288	482	1	development	development	NOUN
cana-3288	482	2	of	of	ADP
cana-3288	482	3	mobile	mobile	ADJ
cana-3288	482	4	iot	iot	NOUN
cana-3288	482	5	solutions	solution	NOUN
cana-3288	482	6	:	:	PUNCT
cana-3288	482	7	approaches	approach	NOUN
cana-3288	482	8	,	,	PUNCT
cana-3288	482	9	architectures	architecture	NOUN
cana-3288	482	10	,	,	PUNCT
cana-3288	482	11	and	and	CCONJ
cana-3288	482	12	methodologies	methodology	NOUN
cana-3288	482	13	.	.	PUNCT
cana-3288	483	1	ieee	ieee	NOUN
cana-3288	483	2	internet	internet	NOUN
cana-3288	483	3	of	of	ADP
cana-3288	483	4	things	thing	NOUN
cana-3288	483	5	journal	journal	NOUN
cana-3288	483	6	,	,	PUNCT
cana-3288	483	7	8(22):16452–16472	8(22):16452–16472	NUM
cana-3288	483	8	,	,	PUNCT
cana-3288	483	9	2020	2020	NUM
cana-3288	483	10	.	.	PUNCT
cana-3288	484	1	[	[	X
cana-3288	484	2	14	14	NUM
cana-3288	484	3	]	]	PUNCT
cana-3288	484	4	farshid	farshid	VERB
cana-3288	484	5	haidary	haidary	ADJ
cana-3288	484	6	makoui	makoui	ADV
cana-3288	484	7	,	,	PUNCT
cana-3288	484	8	t	t	PROPN
cana-3288	484	9	aaron	aaron	PROPN
cana-3288	484	10	gulliver	gulliver	PROPN
cana-3288	484	11	,	,	PUNCT
cana-3288	484	12	and	and	CCONJ
cana-3288	484	13	mohammad	mohammad	PROPN
cana-3288	484	14	dakhilalian	dakhilalian	PROPN
cana-3288	484	15	.	.	PUNCT
cana-3288	485	1	a	a	DET
cana-3288	485	2	mceliece	mceliece	ADJ
cana-3288	485	3	-	-	PUNCT
cana-3288	485	4	type	type	NOUN
cana-3288	485	5	cryptosystem	cryptosystem	NOUN
cana-3288	485	6	using	use	VERB
cana-3288	485	7	a	a	DET
cana-3288	485	8	random	random	ADJ
cana-3288	485	9	inverse	inverse	NOUN
cana-3288	485	10	matrix	matrix	NOUN
cana-3288	485	11	and	and	CCONJ
cana-3288	485	12	an	an	DET
cana-3288	485	13	error	error	NOUN
cana-3288	485	14	vector	vector	NOUN
cana-3288	485	15	with	with	ADP
cana-3288	485	16	large	large	ADJ
cana-3288	485	17	hamming	hamming	NOUN
cana-3288	485	18	weight	weight	NOUN
cana-3288	485	19	.	.	PUNCT
cana-3288	486	1	in	in	ADP
cana-3288	486	2	2024	2024	NUM
cana-3288	486	3	14th	14th	ADJ
cana-3288	486	4	international	international	ADJ
cana-3288	486	5	conference	conference	NOUN
cana-3288	486	6	on	on	ADP
cana-3288	486	7	advanced	advanced	ADJ
cana-3288	486	8	computer	computer	NOUN
cana-3288	486	9	information	information	NOUN
cana-3288	486	10	technologies	technology	NOUN
cana-3288	486	11	(	(	PUNCT
cana-3288	486	12	acit	acit	ADJ
cana-3288	486	13	)	)	PUNCT
cana-3288	486	14	,	,	PUNCT
cana-3288	486	15	pages	page	NOUN
cana-3288	486	16	490–495	490–495	NUM
cana-3288	486	17	.	.	PUNCT
cana-3288	487	1	ieee	ieee	PROPN
cana-3288	487	2	,	,	PUNCT
cana-3288	487	3	2024	2024	NUM
cana-3288	487	4	.	.	PUNCT
cana-3288	488	1	[	[	X
cana-3288	488	2	15	15	NUM
cana-3288	488	3	]	]	X
cana-3288	488	4	robert	robert	PROPN
cana-3288	488	5	niebuhr	niebuhr	PROPN
cana-3288	488	6	,	,	PUNCT
cana-3288	488	7	mohammed	mohammed	PROPN
cana-3288	488	8	meziani	meziani	PROPN
cana-3288	488	9	,	,	PUNCT
cana-3288	488	10	stanislav	stanislav	PROPN
cana-3288	488	11	bulygin	bulygin	PROPN
cana-3288	488	12	,	,	PUNCT
cana-3288	488	13	and	and	CCONJ
cana-3288	488	14	johannes	johannes	PROPN
cana-3288	488	15	buchmann	buchmann	PROPN
cana-3288	488	16	.	.	PUNCT
cana-3288	489	1	selecting	select	VERB
cana-3288	489	2	parameters	parameter	NOUN
cana-3288	489	3	for	for	ADP
cana-3288	489	4	secure	secure	ADJ
cana-3288	489	5	mceliece	mceliece	NOUN
cana-3288	489	6	-	-	PUNCT
cana-3288	489	7	based	base	VERB
cana-3288	489	8	cryptosystems	cryptosystem	NOUN
cana-3288	489	9	.	.	PUNCT
cana-3288	490	1	international	international	ADJ
cana-3288	490	2	journal	journal	PROPN
cana-3288	490	3	of	of	ADP
cana-3288	490	4	information	information	NOUN
cana-3288	490	5	security	security	NOUN
cana-3288	490	6	,	,	PUNCT
cana-3288	490	7	11:137–147	11:137–147	PROPN
cana-3288	490	8	,	,	PUNCT
cana-3288	490	9	2012	2012	NUM
cana-3288	490	10	.	.	PUNCT
cana-3288	491	1	[	[	X
cana-3288	491	2	16	16	NUM
cana-3288	491	3	]	]	X
cana-3288	491	4	harald	harald	PROPN
cana-3288	491	5	niederreiter	niederreiter	PROPN
cana-3288	491	6	.	.	PUNCT
cana-3288	492	1	a	a	DET
cana-3288	492	2	public	public	ADJ
cana-3288	492	3	-	-	PUNCT
cana-3288	492	4	key	key	NOUN
cana-3288	492	5	cryptosystem	cryptosystem	NOUN
cana-3288	492	6	based	base	VERB
cana-3288	492	7	on	on	ADP
cana-3288	492	8	shift	shift	NOUN
cana-3288	492	9	register	register	NOUN
cana-3288	492	10	sequences	sequence	NOUN
cana-3288	492	11	.	.	PUNCT
cana-3288	493	1	in	in	ADP
cana-3288	493	2	advances	advance	NOUN
cana-3288	493	3	in	in	ADP
cana-3288	493	4	cryptology	cryptology	NOUN
cana-3288	493	5	—	—	PUNCT
cana-3288	493	6	eurocrypt’85	eurocrypt’85	NOUN
cana-3288	493	7	:	:	PUNCT
cana-3288	493	8	proceedings	proceeding	NOUN
cana-3288	493	9	of	of	ADP
cana-3288	493	10	a	a	DET
cana-3288	493	11	workshop	workshop	NOUN
cana-3288	493	12	on	on	ADP
cana-3288	493	13	the	the	DET
cana-3288	493	14	theory	theory	NOUN
cana-3288	493	15	and	and	CCONJ
cana-3288	493	16	application	application	NOUN
cana-3288	493	17	of	of	ADP
cana-3288	493	18	cryptographic	cryptographic	ADJ
cana-3288	493	19	techniques	technique	NOUN
cana-3288	493	20	linz	linz	PROPN
cana-3288	493	21	,	,	PUNCT
cana-3288	493	22	austria	austria	PROPN
cana-3288	493	23	,	,	PUNCT
cana-3288	493	24	april	april	PROPN
cana-3288	493	25	1985	1985	NUM
cana-3288	493	26	4	4	NUM
cana-3288	493	27	,	,	PUNCT
cana-3288	493	28	pages	page	NOUN
cana-3288	493	29	35–39	35–39	NUM
cana-3288	493	30	.	.	PUNCT
cana-3288	494	1	springer	springer	NOUN
cana-3288	494	2	,	,	PUNCT
cana-3288	494	3	1986	1986	NUM
cana-3288	494	4	.	.	PUNCT
cana-3288	495	1	[	[	X
cana-3288	495	2	17	17	NUM
cana-3288	495	3	]	]	X
cana-3288	495	4	harald	harald	PROPN
cana-3288	495	5	niederreiter	niederreiter	PROPN
cana-3288	495	6	.	.	PUNCT
cana-3288	496	1	coding	code	VERB
cana-3288	496	2	theory	theory	NOUN
cana-3288	496	3	and	and	CCONJ
cana-3288	496	4	cryptology	cryptology	NOUN
cana-3288	496	5	,	,	PUNCT
cana-3288	496	6	volume	volume	NOUN
cana-3288	496	7	1	1	NUM
cana-3288	496	8	.	.	PUNCT
cana-3288	496	9	world	world	PROPN
cana-3288	496	10	scientific	scientific	PROPN
cana-3288	496	11	,	,	PUNCT
cana-3288	496	12	2002	2002	NUM
cana-3288	496	13	.	.	PUNCT
cana-3288	497	1	[	[	X
cana-3288	497	2	18	18	NUM
cana-3288	497	3	]	]	X
cana-3288	497	4	harald	harald	PROPN
cana-3288	497	5	niederreiter	niederreiter	PROPN
cana-3288	497	6	and	and	CCONJ
cana-3288	497	7	chaoping	chaope	VERB
cana-3288	497	8	xing	xing	PROPN
cana-3288	497	9	.	.	PUNCT
cana-3288	498	1	algebraic	algebraic	ADJ
cana-3288	498	2	geometry	geometry	NOUN
cana-3288	498	3	in	in	ADP
cana-3288	498	4	coding	code	VERB
cana-3288	498	5	theory	theory	NOUN
cana-3288	498	6	and	and	CCONJ
cana-3288	498	7	cryptography	cryptography	NOUN
cana-3288	498	8	.	.	PUNCT
cana-3288	499	1	princeton	princeton	PROPN
cana-3288	499	2	university	university	PROPN
cana-3288	499	3	press	press	NOUN
cana-3288	499	4	,	,	PUNCT
cana-3288	499	5	2009	2009	NUM
cana-3288	499	6	.	.	PUNCT
cana-3288	500	1	[	[	X
cana-3288	500	2	19	19	NUM
cana-3288	500	3	]	]	X
cana-3288	500	4	aryan	aryan	ADJ
cana-3288	500	5	parashar	parashar	PROPN
cana-3288	500	6	and	and	CCONJ
cana-3288	500	7	dev	dev	PROPN
cana-3288	500	8	jadiya	jadiya	PROPN
cana-3288	500	9	.	.	PUNCT
cana-3288	501	1	enhanced	enhance	VERB
cana-3288	501	2	mceliece	mceliece	PROPN
cana-3288	501	3	algorithm	algorithm	NOUN
cana-3288	501	4	for	for	ADP
cana-3288	501	5	post	post	ADJ
cana-3288	501	6	-	-	ADJ
cana-3288	501	7	quantum	quantum	ADJ
cana-3288	501	8	cryptosystems	cryptosystem	NOUN
cana-3288	501	9	.	.	PUNCT
cana-3288	502	1	[	[	X
cana-3288	502	2	20	20	NUM
cana-3288	502	3	]	]	PUNCT
cana-3288	502	4	thomas	thomas	PROPN
cana-3288	502	5	j	j	PROPN
cana-3288	502	6	richardson	richardson	PROPN
cana-3288	502	7	and	and	CCONJ
cana-3288	502	8	r¨udiger	r¨udig	ADJ
cana-3288	502	9	l	l	NOUN
cana-3288	502	10	urbanke	urbanke	NOUN
cana-3288	502	11	.	.	PUNCT
cana-3288	503	1	the	the	DET
cana-3288	503	2	capacity	capacity	NOUN
cana-3288	503	3	of	of	ADP
cana-3288	503	4	low	low	ADJ
cana-3288	503	5	-	-	PUNCT
cana-3288	503	6	density	density	NOUN
cana-3288	503	7	parity	parity	NOUN
cana-3288	503	8	-	-	PUNCT
cana-3288	503	9	check	check	NOUN
cana-3288	503	10	codes	code	NOUN
cana-3288	503	11	under	under	ADP
cana-3288	503	12	messagepassing	messagepasse	VERB
cana-3288	503	13	decoding	decode	VERB
cana-3288	503	14	.	.	PUNCT
cana-3288	504	1	ieee	ieee	NOUN
cana-3288	504	2	transactions	transaction	NOUN
cana-3288	504	3	on	on	ADP
cana-3288	504	4	information	information	NOUN
cana-3288	504	5	theory	theory	NOUN
cana-3288	504	6	,	,	PUNCT
cana-3288	504	7	47(2):599–618	47(2):599–618	PROPN
cana-3288	504	8	,	,	PUNCT
cana-3288	504	9	2001	2001	NUM
cana-3288	504	10	.	.	PUNCT
cana-3288	505	1	[	[	X
cana-3288	505	2	21	21	NUM
cana-3288	505	3	]	]	X
cana-3288	505	4	thomas	thomas	PROPN
cana-3288	505	5	j	j	PROPN
cana-3288	505	6	richardson	richardson	PROPN
cana-3288	505	7	and	and	CCONJ
cana-3288	505	8	r¨udiger	r¨udig	ADJ
cana-3288	505	9	l	l	NOUN
cana-3288	505	10	urbanke	urbanke	NOUN
cana-3288	505	11	.	.	PUNCT
cana-3288	506	1	efficient	efficient	ADJ
cana-3288	506	2	encoding	encoding	NOUN
cana-3288	506	3	of	of	ADP
cana-3288	506	4	low	low	ADJ
cana-3288	506	5	-	-	PUNCT
cana-3288	506	6	density	density	NOUN
cana-3288	506	7	parity	parity	NOUN
cana-3288	506	8	-	-	PUNCT
cana-3288	506	9	check	check	NOUN
cana-3288	506	10	codes	code	NOUN
cana-3288	506	11	.	.	PUNCT
cana-3288	507	1	ieee	ieee	NOUN
cana-3288	507	2	transactions	transaction	NOUN
cana-3288	507	3	on	on	ADP
cana-3288	507	4	information	information	NOUN
cana-3288	507	5	theory	theory	NOUN
cana-3288	507	6	,	,	PUNCT
cana-3288	507	7	47(2):638–656	47(2):638–656	PROPN
cana-3288	507	8	,	,	PUNCT
cana-3288	507	9	2001	2001	NUM
cana-3288	507	10	.	.	PUNCT