id	sid	tid	token	lemma	pos
cana-619	1	1	communications	communication	NOUN
cana-619	1	2	on	on	ADP
cana-619	1	3	applied	apply	VERB
cana-619	1	4	nonlinear	nonlinear	ADJ
cana-619	1	5	analysis	analysis	NOUN
cana-619	1	6	issn	issn	NOUN
cana-619	1	7	:	:	PUNCT
cana-619	1	8	1074	1074	NUM
cana-619	1	9	-	-	PUNCT
cana-619	1	10	133x	133x	NUM
cana-619	1	11	vol	vol	NOUN
cana-619	1	12	31	31	NUM
cana-619	1	13	no	no	NOUN
cana-619	1	14	.	.	PUNCT
cana-619	2	1	2s	2s	NUM
cana-619	2	2	(	(	PUNCT
cana-619	2	3	2024	2024	NUM
cana-619	2	4	)	)	PUNCT
cana-619	2	5	173	173	NUM
cana-619	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-619	2	7	applications	application	NOUN
cana-619	2	8	of	of	ADP
cana-619	2	9	nondeterministic	nondeterministic	ADJ
cana-619	2	10	zerodivisor	zerodivisor	NOUN
cana-619	2	11	graph	graph	NOUN
cana-619	2	12	p.	p.	PROPN
cana-619	2	13	shakila	shakila	NOUN
cana-619	2	14	banua	banua	NOUN
cana-619	2	15	,	,	PUNCT
cana-619	2	16	s.	s.	PROPN
cana-619	2	17	naveenab	naveenab	PROPN
cana-619	2	18	and	and	CCONJ
cana-619	2	19	a.	a.	PROPN
cana-619	2	20	jansy	jansy	PROPN
cana-619	2	21	isabella	isabella	PROPN
cana-619	2	22	ranic	ranic	PROPN
cana-619	2	23	aassistant	aassistant	PROPN
cana-619	2	24	professor	professor	PROPN
cana-619	2	25	,	,	PUNCT
cana-619	2	26	department	department	NOUN
cana-619	2	27	of	of	ADP
cana-619	2	28	mathematics	mathematic	NOUN
cana-619	2	29	,	,	PUNCT
cana-619	2	30	vellalar	vellalar	ADJ
cana-619	2	31	college	college	NOUN
cana-619	2	32	for	for	ADP
cana-619	2	33	women	woman	NOUN
cana-619	2	34	,	,	PUNCT
cana-619	2	35	erode-638012	erode-638012	ADJ
cana-619	2	36	,	,	PUNCT
cana-619	2	37	tamilnadu	tamilnadu	ADJ
cana-619	2	38	,	,	PUNCT
cana-619	2	39	india	india	PROPN
cana-619	2	40	bresearch	bresearch	PROPN
cana-619	2	41	scholar	scholar	NOUN
cana-619	2	42	,	,	PUNCT
cana-619	2	43	department	department	NOUN
cana-619	2	44	of	of	ADP
cana-619	2	45	mathematics	mathematic	NOUN
cana-619	2	46	,	,	PUNCT
cana-619	2	47	vellalar	vellalar	ADJ
cana-619	2	48	college	college	NOUN
cana-619	2	49	for	for	ADP
cana-619	2	50	women	woman	NOUN
cana-619	2	51	,	,	PUNCT
cana-619	2	52	erode-638012	erode-638012	ADJ
cana-619	2	53	,	,	PUNCT
cana-619	2	54	tamilnadu	tamilnadu	ADJ
cana-619	2	55	,	,	PUNCT
cana-619	2	56	india	india	PROPN
cana-619	2	57	cassistant	cassistant	PROPN
cana-619	2	58	professor	professor	PROPN
cana-619	2	59	,	,	PUNCT
cana-619	2	60	department	department	NOUN
cana-619	2	61	of	of	ADP
cana-619	2	62	biochemistry	biochemistry	NOUN
cana-619	2	63	,	,	PUNCT
cana-619	2	64	vellalar	vellalar	ADJ
cana-619	2	65	college	college	NOUN
cana-619	2	66	for	for	ADP
cana-619	2	67	women	woman	NOUN
cana-619	2	68	,	,	PUNCT
cana-619	2	69	erode-638012	erode-638012	ADJ
cana-619	2	70	,	,	PUNCT
cana-619	2	71	tamilnadu	tamilnadu	NOUN
cana-619	2	72	,	,	PUNCT
cana-619	2	73	india	india	PROPN
cana-619	2	74	e	e	PROPN
cana-619	2	75	-	-	NOUN
cana-619	2	76	mail	mail	NOUN
cana-619	2	77	:	:	PUNCT
cana-619	2	78	a	a	DET
cana-619	2	79	shakimeeran10@gmail.com	shakimeeran10@gmail.com	PROPN
cana-619	2	80	,	,	PUNCT
cana-619	2	81	b	b	PROPN
cana-619	2	82	naveena94430@gmail.com	naveena94430@gmail.com	X
cana-619	2	83	,	,	PUNCT
cana-619	2	84	c	c	PROPN
cana-619	2	85	isabellarani@gmail.com	isabellarani@gmail.com	X
cana-619	2	86	article	article	NOUN
cana-619	2	87	history	history	NOUN
cana-619	2	88	:	:	PUNCT
cana-619	2	89	received	receive	VERB
cana-619	2	90	:	:	PUNCT
cana-619	2	91	18	18	NUM
cana-619	2	92	-	-	SYM
cana-619	2	93	03	03	NUM
cana-619	2	94	-	-	PUNCT
cana-619	2	95	2024	2024	NUM
cana-619	2	96	revised	revise	VERB
cana-619	2	97	:	:	PUNCT
cana-619	2	98	02	02	NUM
cana-619	2	99	-	-	PUNCT
cana-619	2	100	05	05	NUM
cana-619	2	101	-	-	PUNCT
cana-619	2	102	2024	2024	NUM
cana-619	2	103	accepted	accept	VERB
cana-619	2	104	:	:	PUNCT
cana-619	2	105	22	22	NUM
cana-619	2	106	-	-	SYM
cana-619	2	107	05	05	NUM
cana-619	2	108	-	-	PUNCT
cana-619	2	109	2024	2024	NUM
cana-619	2	110	abstract	abstract	NOUN
cana-619	2	111	:	:	PUNCT
cana-619	2	112	this	this	DET
cana-619	2	113	research	research	NOUN
cana-619	2	114	integrates	integrate	VERB
cana-619	2	115	concepts	concept	NOUN
cana-619	2	116	from	from	ADP
cana-619	2	117	zerodivisor	zerodivisor	NOUN
cana-619	2	118	graph	graph	NOUN
cana-619	2	119	z64	z64	NOUN
cana-619	2	120	to	to	PART
cana-619	2	121	examine	examine	VERB
cana-619	2	122	a	a	DET
cana-619	2	123	multifaceted	multifaceted	ADJ
cana-619	2	124	approach	approach	NOUN
cana-619	2	125	to	to	ADP
cana-619	2	126	mrna	mrna	PROPN
cana-619	2	127	odd	odd	ADJ
cana-619	2	128	and	and	CCONJ
cana-619	2	129	even	even	ADV
cana-619	2	130	codons	codon	NOUN
cana-619	2	131	assessments	assessment	NOUN
cana-619	2	132	.	.	PUNCT
cana-619	3	1	furthermore	furthermore	ADV
cana-619	3	2	,	,	PUNCT
cana-619	3	3	correction	correction	NOUN
cana-619	3	4	of	of	ADP
cana-619	3	5	errors	error	NOUN
cana-619	3	6	has	have	AUX
cana-619	3	7	been	be	AUX
cana-619	3	8	rendered	render	VERB
cana-619	3	9	attainable	attainable	ADJ
cana-619	3	10	with	with	ADP
cana-619	3	11	the	the	DET
cana-619	3	12	implementation	implementation	NOUN
cana-619	3	13	of	of	ADP
cana-619	3	14	parity	parity	NOUN
cana-619	3	15	codes	code	NOUN
cana-619	3	16	,	,	PUNCT
cana-619	3	17	which	which	PRON
cana-619	3	18	increase	increase	VERB
cana-619	3	19	the	the	DET
cana-619	3	20	resilience	resilience	NOUN
cana-619	3	21	of	of	ADP
cana-619	3	22	mrna	mrna	PROPN
cana-619	3	23	sequence	sequence	NOUN
cana-619	3	24	representation	representation	NOUN
cana-619	3	25	.	.	PUNCT
cana-619	4	1	the	the	DET
cana-619	4	2	huffman	huffman	PROPN
cana-619	4	3	approach	approach	NOUN
cana-619	4	4	promotes	promote	VERB
cana-619	4	5	the	the	DET
cana-619	4	6	encryption	encryption	NOUN
cana-619	4	7	and	and	CCONJ
cana-619	4	8	decryption	decryption	NOUN
cana-619	4	9	process	process	NOUN
cana-619	4	10	of	of	ADP
cana-619	4	11	data	datum	NOUN
cana-619	4	12	retention	retention	NOUN
cana-619	4	13	reliability	reliability	NOUN
cana-619	4	14	.	.	PUNCT
cana-619	5	1	the	the	DET
cana-619	5	2	work	work	NOUN
cana-619	5	3	advances	advance	VERB
cana-619	5	4	mrna	mrna	PROPN
cana-619	5	5	sequence	sequence	NOUN
cana-619	5	6	analysis	analysis	NOUN
cana-619	5	7	and	and	CCONJ
cana-619	5	8	creates	create	VERB
cana-619	5	9	novel	novel	ADJ
cana-619	5	10	possibilities	possibility	NOUN
cana-619	5	11	for	for	ADP
cana-619	5	12	assessments	assessment	NOUN
cana-619	5	13	and	and	CCONJ
cana-619	5	14	conserving	conserve	VERB
cana-619	5	15	biological	biological	ADJ
cana-619	5	16	information	information	NOUN
cana-619	5	17	.	.	PUNCT
cana-619	6	1	keywords	keyword	NOUN
cana-619	6	2	:	:	PUNCT
cana-619	6	3	non	non	X
cana-619	6	4	deterministic	deterministic	ADJ
cana-619	6	5	zerodivisor	zerodivisor	NOUN
cana-619	6	6	graph	graph	NOUN
cana-619	6	7	,	,	PUNCT
cana-619	6	8	mrna	mrna	PROPN
cana-619	6	9	codons	codon	NOUN
cana-619	6	10	,	,	PUNCT
cana-619	6	11	huffman	huffman	PROPN
cana-619	6	12	coding	coding	PROPN
cana-619	6	13	,	,	PUNCT
cana-619	6	14	parity	parity	NOUN
cana-619	6	15	codes	code	NOUN
cana-619	6	16	.	.	PUNCT
cana-619	7	1	2020	2020	NUM
cana-619	7	2	subject	subject	VERB
cana-619	7	3	classifications:94b05,05c50	classifications:94b05,05c50	NOUN
cana-619	7	4	,	,	PUNCT
cana-619	7	5	81p73,92d20	81p73,92d20	NUM
cana-619	7	6	1	1	NUM
cana-619	7	7	.	.	PUNCT
cana-619	7	8	introduction	introduction	NOUN
cana-619	7	9	in	in	ADP
cana-619	7	10	the	the	DET
cana-619	7	11	field	field	NOUN
cana-619	7	12	of	of	ADP
cana-619	7	13	computing	computing	NOUN
cana-619	7	14	,	,	PUNCT
cana-619	7	15	systems	system	NOUN
cana-619	7	16	with	with	ADP
cana-619	7	17	a	a	DET
cana-619	7	18	limited	limited	ADJ
cana-619	7	19	amount	amount	NOUN
cana-619	7	20	of	of	ADP
cana-619	7	21	states	state	NOUN
cana-619	7	22	and	and	CCONJ
cana-619	7	23	changes	change	NOUN
cana-619	7	24	among	among	ADP
cana-619	7	25	these	these	DET
cana-619	7	26	states	state	NOUN
cana-619	7	27	are	be	AUX
cana-619	7	28	depicted	depict	VERB
cana-619	7	29	through	through	ADP
cana-619	7	30	the	the	DET
cana-619	7	31	use	use	NOUN
cana-619	7	32	of	of	ADP
cana-619	7	33	predictable	predictable	ADJ
cana-619	7	34	and	and	CCONJ
cana-619	7	35	unpredictable	unpredictable	ADJ
cana-619	7	36	networks	network	NOUN
cana-619	7	37	.	.	PUNCT
cana-619	8	1	these	these	DET
cana-619	8	2	charts	chart	NOUN
cana-619	8	3	are	be	AUX
cana-619	8	4	employed	employ	VERB
cana-619	8	5	in	in	ADP
cana-619	8	6	numerous	numerous	ADJ
cana-619	8	7	applications	application	NOUN
cana-619	8	8	,	,	PUNCT
cana-619	8	9	which	which	PRON
cana-619	8	10	involves	involve	VERB
cana-619	8	11	visual	visual	ADJ
cana-619	8	12	computing	computing	NOUN
cana-619	8	13	,	,	PUNCT
cana-619	8	14	artificial	artificial	ADJ
cana-619	8	15	intelligence	intelligence	NOUN
cana-619	8	16	,	,	PUNCT
cana-619	8	17	and	and	CCONJ
cana-619	8	18	natural	natural	ADJ
cana-619	8	19	language	language	NOUN
cana-619	8	20	processing	processing	NOUN
cana-619	8	21	.	.	PUNCT
cana-619	9	1	in	in	ADP
cana-619	9	2	contrast	contrast	NOUN
cana-619	9	3	to	to	ADP
cana-619	9	4	predictable	predictable	ADJ
cana-619	9	5	graphs	graph	NOUN
cana-619	9	6	,	,	PUNCT
cana-619	9	7	unpredictable	unpredictable	ADJ
cana-619	9	8	graphs	graph	NOUN
cana-619	9	9	tend	tend	VERB
cana-619	9	10	to	to	PART
cana-619	9	11	be	be	AUX
cana-619	9	12	greater	great	ADJ
cana-619	9	13	evocative	evocative	ADJ
cana-619	9	14	.	.	PUNCT
cana-619	10	1	kurtz[10	kurtz[10	ADV
cana-619	10	2	]	]	PUNCT
cana-619	10	3	authored	author	VERB
cana-619	10	4	an	an	DET
cana-619	10	5	article	article	NOUN
cana-619	10	6	headlined	headline	VERB
cana-619	10	7	"	"	PUNCT
cana-619	10	8	predictable	predictable	ADJ
cana-619	10	9	and	and	CCONJ
cana-619	10	10	unpredictable	unpredictable	ADJ
cana-619	10	11	networks	network	NOUN
cana-619	10	12	"	"	PUNCT
cana-619	10	13	in	in	ADP
cana-619	10	14	1973	1973	NUM
cana-619	10	15	,	,	PUNCT
cana-619	10	16	outlining	outline	VERB
cana-619	10	17	a	a	DET
cana-619	10	18	common	common	ADJ
cana-619	10	19	paradigm	paradigm	NOUN
cana-619	10	20	for	for	ADP
cana-619	10	21	both	both	DET
cana-619	10	22	types	type	NOUN
cana-619	10	23	of	of	ADP
cana-619	10	24	structures	structure	NOUN
cana-619	10	25	.	.	PUNCT
cana-619	11	1	the	the	DET
cana-619	11	2	dissertation	dissertation	NOUN
cana-619	11	3	emphasised	emphasise	VERB
cana-619	11	4	the	the	DET
cana-619	11	5	significance	significance	NOUN
cana-619	11	6	of	of	ADP
cana-619	11	7	predictable	predictable	ADJ
cana-619	11	8	and	and	CCONJ
cana-619	11	9	unpredictable	unpredictable	ADJ
cana-619	11	10	networks	network	NOUN
cana-619	11	11	in	in	ADP
cana-619	11	12	the	the	DET
cana-619	11	13	field	field	NOUN
cana-619	11	14	of	of	ADP
cana-619	11	15	computation	computation	NOUN
cana-619	11	16	and	and	CCONJ
cana-619	11	17	laid	lay	VERB
cana-619	11	18	the	the	DET
cana-619	11	19	groundwork	groundwork	NOUN
cana-619	11	20	for	for	ADP
cana-619	11	21	future	future	ADJ
cana-619	11	22	research	research	NOUN
cana-619	11	23	on	on	ADP
cana-619	11	24	the	the	DET
cana-619	11	25	subject	subject	NOUN
cana-619	11	26	.	.	PUNCT
cana-619	12	1	beck	beck	PROPN
cana-619	12	2	first	first	ADV
cana-619	12	3	pitched	pitch	VERB
cana-619	12	4	the	the	DET
cana-619	12	5	idea	idea	NOUN
cana-619	12	6	of	of	ADP
cana-619	12	7	a	a	DET
cana-619	12	8	zerodivisorgraph	zerodivisorgraph	NOUN
cana-619	12	9	in	in	ADP
cana-619	12	10	1998	1998	NUM
cana-619	12	11	[	[	X
cana-619	12	12	4	4	NUM
cana-619	12	13	]	]	PUNCT
cana-619	12	14	.	.	PUNCT
cana-619	13	1	the	the	DET
cana-619	13	2	first	first	ADJ
cana-619	13	3	researchers	researcher	NOUN
cana-619	13	4	who	who	PRON
cana-619	13	5	streamlined	streamline	VERB
cana-619	13	6	beck	beck	NOUN
cana-619	13	7	's	's	PART
cana-619	13	8	zerodivisor	zerodivisor	NOUN
cana-619	13	9	graph	graph	NOUN
cana-619	13	10	seemed	seem	VERB
cana-619	13	11	anderson	anderson	PROPN
cana-619	13	12	and	and	CCONJ
cana-619	13	13	livingston	livingston	PROPN
cana-619	14	1	[	[	X
cana-619	14	2	3	3	NUM
cana-619	14	3	]	]	PUNCT
cana-619	14	4	.	.	PUNCT
cana-619	15	1	redmond	redmond	PROPN
cana-619	15	2	modified	modify	VERB
cana-619	15	3	the	the	DET
cana-619	15	4	conceptual	conceptual	ADJ
cana-619	15	5	framework	framework	NOUN
cana-619	15	6	of	of	ADP
cana-619	15	7	a	a	DET
cana-619	15	8	zerodivisor	zerodivisor	NOUN
cana-619	15	9	graph	graph	NOUN
cana-619	15	10	by	by	ADP
cana-619	15	11	integrating	integrate	VERB
cana-619	15	12	a	a	DET
cana-619	15	13	ring	ring	NOUN
cana-619	15	14	in	in	ADP
cana-619	15	15	2002	2002	NUM
cana-619	15	16	[	[	X
cana-619	15	17	16	16	NUM
cana-619	15	18	]	]	PUNCT
cana-619	15	19	.	.	PUNCT
cana-619	16	1	p.	p.	NOUN
cana-619	16	2	shakila	shakila	VERB
cana-619	16	3	banu	banu	PROPN
cana-619	16	4	and	and	CCONJ
cana-619	16	5	s.	s.	PROPN
cana-619	16	6	naveena	naveena	PROPN
cana-619	16	7	demonstrated	demonstrate	VERB
cana-619	16	8	in	in	ADP
cana-619	16	9	2023	2023	NUM
cana-619	16	10	[	[	X
cana-619	16	11	17	17	NUM
cana-619	16	12	]	]	PUNCT
cana-619	16	13	that	that	SCONJ
cana-619	16	14	every	every	DET
cana-619	16	15	instance	instance	NOUN
cana-619	16	16	of	of	ADP
cana-619	16	17	zerodivisor	zerodivisor	NOUN
cana-619	16	18	graphs	graph	NOUN
cana-619	16	19	is	be	AUX
cana-619	16	20	unpredictable	unpredictable	ADJ
cana-619	16	21	zerodivisor	zerodivisor	NOUN
cana-619	16	22	graphs	graph	NOUN
cana-619	16	23	,	,	PUNCT
cana-619	16	24	however	however	ADV
cana-619	16	25	the	the	DET
cana-619	16	26	contrary	contrary	ADJ
cana-619	16	27	need	need	AUX
cana-619	16	28	not	not	PART
cana-619	16	29	holds	hold	VERB
cana-619	16	30	.	.	PUNCT
cana-619	17	1	tom	tom	PROPN
cana-619	17	2	head	head	PROPN
cana-619	17	3	initially	initially	ADV
cana-619	17	4	proposed	propose	VERB
cana-619	17	5	the	the	DET
cana-619	17	6	concept	concept	NOUN
cana-619	17	7	of	of	ADP
cana-619	17	8	implementing	implement	VERB
cana-619	17	9	dna	dna	NOUN
cana-619	17	10	for	for	ADP
cana-619	17	11	computing	compute	VERB
cana-619	17	12	around	around	ADP
cana-619	17	13	1987	1987	NUM
cana-619	17	14	,	,	PUNCT
cana-619	17	15	although	although	SCONJ
cana-619	17	16	adleman	adleman	NOUN
cana-619	17	17	accomplished	accomplish	VERB
cana-619	17	18	an	an	DET
cana-619	17	19	initial	initial	ADJ
cana-619	17	20	viable	viable	ADJ
cana-619	17	21	computer	computer	NOUN
cana-619	17	22	powered	power	VERB
cana-619	17	23	by	by	ADP
cana-619	17	24	dna	dna	PROPN
cana-619	17	25	experiment	experiment	NOUN
cana-619	17	26	in	in	ADP
cana-619	17	27	1994	1994	NUM
cana-619	17	28	.	.	PUNCT
cana-619	18	1	communications	communication	NOUN
cana-619	18	2	on	on	ADP
cana-619	18	3	applied	apply	VERB
cana-619	18	4	nonlinear	nonlinear	ADJ
cana-619	18	5	analysis	analysis	NOUN
cana-619	18	6	issn	issn	NOUN
cana-619	18	7	:	:	PUNCT
cana-619	18	8	1074	1074	NUM
cana-619	18	9	-	-	PUNCT
cana-619	18	10	133x	133x	NUM
cana-619	18	11	vol	vol	NOUN
cana-619	18	12	31	31	NUM
cana-619	18	13	no	no	NOUN
cana-619	18	14	.	.	PUNCT
cana-619	19	1	2s	2s	NUM
cana-619	19	2	(	(	PUNCT
cana-619	19	3	2024	2024	NUM
cana-619	19	4	)	)	PUNCT
cana-619	19	5	174	174	NUM
cana-619	19	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-619	19	7	genetic	genetic	ADJ
cana-619	19	8	hybridization	hybridization	NOUN
cana-619	19	9	is	be	AUX
cana-619	19	10	the	the	DET
cana-619	19	11	fundamental	fundamental	ADJ
cana-619	19	12	component	component	NOUN
cana-619	19	13	of	of	ADP
cana-619	19	14	dna	dna	PROPN
cana-619	19	15	computing	computing	NOUN
cana-619	19	16	,	,	PUNCT
cana-619	19	17	however	however	ADV
cana-619	19	18	it	it	PRON
cana-619	19	19	may	may	AUX
cana-619	19	20	additionally	additionally	ADV
cana-619	19	21	contribute	contribute	VERB
cana-619	19	22	to	to	ADP
cana-619	19	23	inaccuracies	inaccuracy	NOUN
cana-619	19	24	.	.	PUNCT
cana-619	20	1	consequently	consequently	ADV
cana-619	20	2	,	,	PUNCT
cana-619	20	3	error	error	NOUN
cana-619	20	4	mitigation	mitigation	NOUN
cana-619	20	5	techniques	technique	NOUN
cana-619	20	6	are	be	AUX
cana-619	20	7	vital	vital	ADJ
cana-619	20	8	for	for	ADP
cana-619	20	9	the	the	DET
cana-619	20	10	effective	effective	ADJ
cana-619	20	11	implementation	implementation	NOUN
cana-619	20	12	of	of	ADP
cana-619	20	13	dna	dna	PROPN
cana-619	20	14	computation	computation	NOUN
cana-619	20	15	.	.	PUNCT
cana-619	21	1	in	in	ADP
cana-619	21	2	2005	2005	NUM
cana-619	21	3	,	,	PUNCT
cana-619	21	4	yachkov	yachkov	NOUN
cana-619	21	5	[	[	X
cana-619	21	6	5	5	NUM
cana-619	21	7	]	]	PUNCT
cana-619	21	8	created	create	VERB
cana-619	21	9	the	the	DET
cana-619	21	10	premise	premise	NOUN
cana-619	21	11	of	of	ADP
cana-619	21	12	proximity	proximity	NOUN
cana-619	21	13	processes	process	NOUN
cana-619	21	14	,	,	PUNCT
cana-619	21	15	which	which	PRON
cana-619	21	16	have	have	AUX
cana-619	21	17	proven	prove	VERB
cana-619	21	18	beneficial	beneficial	ADJ
cana-619	21	19	to	to	ADP
cana-619	21	20	estimating	estimate	VERB
cana-619	21	21	statistical	statistical	ADJ
cana-619	21	22	affinities	affinity	NOUN
cana-619	21	23	throughout	throughout	ADP
cana-619	21	24	genomes	genome	NOUN
cana-619	21	25	.	.	PUNCT
cana-619	22	1	the	the	DET
cana-619	22	2	correlation	correlation	NOUN
cana-619	22	3	between	between	ADP
cana-619	22	4	persistent	persistent	ADJ
cana-619	22	5	cyclic	cyclic	NOUN
cana-619	22	6	codes	code	NOUN
cana-619	22	7	and	and	CCONJ
cana-619	22	8	persistent	persistent	ADJ
cana-619	22	9	supplement	supplement	NOUN
cana-619	22	10	cyclic	cyclic	ADJ
cana-619	22	11	codes	code	NOUN
cana-619	22	12	,	,	PUNCT
cana-619	22	13	particularly	particularly	ADV
cana-619	22	14	has	have	AUX
cana-619	22	15	been	be	AUX
cana-619	22	16	shown	show	VERB
cana-619	22	17	to	to	PART
cana-619	22	18	be	be	AUX
cana-619	22	19	crucial	crucial	ADJ
cana-619	22	20	for	for	ADP
cana-619	22	21	dna	dna	NOUN
cana-619	22	22	processing	processing	NOUN
cana-619	22	23	,	,	PUNCT
cana-619	22	24	was	be	AUX
cana-619	22	25	investigated	investigate	VERB
cana-619	22	26	in	in	ADP
cana-619	22	27	2013	2013	NUM
cana-619	22	28	by	by	ADP
cana-619	22	29	k.	k.	PROPN
cana-619	22	30	guenda	guenda	PROPN
cana-619	22	31	and	and	CCONJ
cana-619	22	32	t.	t.	NOUN
cana-619	22	33	a.	a.	NOUN
cana-619	22	34	gulliver	gulliver	NOUN
cana-619	23	1	[	[	X
cana-619	23	2	6	6	NUM
cana-619	23	3	]	]	PUNCT
cana-619	23	4	.	.	PUNCT
cana-619	24	1	dna	dna	PROPN
cana-619	24	2	codes	code	NOUN
cana-619	24	3	are	be	AUX
cana-619	24	4	perceived	perceive	VERB
cana-619	24	5	as	as	ADP
cana-619	24	6	terms	term	NOUN
cana-619	24	7	over	over	ADP
cana-619	24	8	the	the	DET
cana-619	24	9	alphabet	alphabet	NOUN
cana-619	24	10	set	set	VERB
cana-619	24	11	∑	∑	PROPN
cana-619	24	12	=	=	PUNCT
cana-619	24	13	{	{	PUNCT
cana-619	24	14	a	a	X
cana-619	24	15	,	,	PUNCT
cana-619	24	16	c	c	NOUN
cana-619	24	17	,	,	PUNCT
cana-619	24	18	g	g	PROPN
cana-619	24	19	,	,	PUNCT
cana-619	24	20	t	t	PROPN
cana-619	24	21	}	}	PUNCT
cana-619	24	22	,	,	PUNCT
cana-619	24	23	accomplishing	accomplish	VERB
cana-619	24	24	precise	precise	ADJ
cana-619	24	25	algebraic	algebraic	ADJ
cana-619	24	26	criteria	criterion	NOUN
cana-619	24	27	.	.	PUNCT
cana-619	25	1	in	in	ADP
cana-619	25	2	2016	2016	NUM
cana-619	25	3	,	,	PUNCT
cana-619	25	4	limbachiya	limbachiya	NOUN
cana-619	26	1	[	[	X
cana-619	26	2	14	14	NUM
cana-619	26	3	]	]	PUNCT
cana-619	26	4	laid	lay	VERB
cana-619	26	5	out	out	ADP
cana-619	26	6	the	the	DET
cana-619	26	7	definitive	definitive	ADJ
cana-619	26	8	framework	framework	NOUN
cana-619	26	9	for	for	ADP
cana-619	26	10	dna	dna	NOUN
cana-619	26	11	,	,	PUNCT
cana-619	26	12	comprising	comprising	NOUN
cana-619	26	13	of	of	ADP
cana-619	26	14	four	four	NUM
cana-619	26	15	bases	basis	NOUN
cana-619	26	16	,	,	PUNCT
cana-619	26	17	among	among	ADP
cana-619	26	18	which	which	PRON
cana-619	26	19	are	be	AUX
cana-619	26	20	thymine	thymine	ADJ
cana-619	26	21	(	(	PUNCT
cana-619	26	22	t	t	PROPN
cana-619	26	23	)	)	PUNCT
cana-619	26	24	,	,	PUNCT
cana-619	26	25	adenine	adenine	NOUN
cana-619	26	26	(	(	PUNCT
cana-619	26	27	a	a	X
cana-619	26	28	)	)	PUNCT
cana-619	26	29	,	,	PUNCT
cana-619	26	30	cytosine	cytosine	NOUN
cana-619	26	31	(	(	PUNCT
cana-619	26	32	c	c	NOUN
cana-619	26	33	)	)	PUNCT
cana-619	26	34	,	,	PUNCT
cana-619	26	35	and	and	CCONJ
cana-619	26	36	guanine	guanine	NOUN
cana-619	26	37	(	(	PUNCT
cana-619	26	38	g	g	NOUN
cana-619	26	39	)	)	PUNCT
cana-619	26	40	.	.	PUNCT
cana-619	27	1	in	in	ADP
cana-619	27	2	[	[	X
cana-619	27	3	12	12	NUM
cana-619	27	4	]	]	PUNCT
cana-619	27	5	,	,	PUNCT
cana-619	27	6	the	the	DET
cana-619	27	7	author	author	NOUN
cana-619	27	8	created	create	VERB
cana-619	27	9	a	a	DET
cana-619	27	10	distance	distance	NOUN
cana-619	27	11	-	-	PUNCT
cana-619	27	12	preserving	preserve	VERB
cana-619	27	13	gaussian	gaussian	ADJ
cana-619	27	14	map	map	NOUN
cana-619	27	15	π	π	PROPN
cana-619	27	16	that	that	PRON
cana-619	27	17	generated	generate	VERB
cana-619	27	18	a	a	DET
cana-619	27	19	one	one	NUM
cana-619	27	20	-	-	PUNCT
cana-619	27	21	to	to	ADP
cana-619	27	22	-	-	PUNCT
cana-619	27	23	one	one	NUM
cana-619	27	24	connection	connection	NOUN
cana-619	27	25	between	between	ADP
cana-619	27	26	every	every	DET
cana-619	27	27	one	one	NUM
cana-619	27	28	of	of	ADP
cana-619	27	29	the	the	DET
cana-619	27	30	genome	genome	NOUN
cana-619	27	31	codewords	codeword	NOUN
cana-619	27	32	of	of	ADP
cana-619	27	33	length	length	NOUN
cana-619	27	34	two	two	NUM
cana-619	27	35	and	and	CCONJ
cana-619	27	36	the	the	DET
cana-619	27	37	constituent	constituent	ADJ
cana-619	27	38	components	component	NOUN
cana-619	27	39	of	of	ADP
cana-619	27	40	the	the	DET
cana-619	27	41	ring	ring	PROPN
cana-619	27	42	r.	r.	PROPN
cana-619	27	43	researchers	researcher	NOUN
cana-619	27	44	introduce	introduce	VERB
cana-619	27	45	multiple	multiple	ADJ
cana-619	27	46	novel	novel	ADJ
cana-619	27	47	categories	category	NOUN
cana-619	27	48	of	of	ADP
cana-619	27	49	dna	dna	PROPN
cana-619	27	50	codes	code	NOUN
cana-619	27	51	that	that	PRON
cana-619	27	52	comply	comply	VERB
cana-619	27	53	with	with	ADP
cana-619	27	54	reverse	reverse	ADJ
cana-619	27	55	complement	complement	NOUN
cana-619	27	56	limitations	limitation	NOUN
cana-619	27	57	by	by	ADP
cana-619	27	58	utilising	utilise	VERB
cana-619	27	59	this	this	DET
cana-619	27	60	representation	representation	NOUN
cana-619	27	61	.	.	PUNCT
cana-619	28	1	in	in	ADP
cana-619	28	2	[	[	X
cana-619	28	3	13	13	NUM
cana-619	28	4	]	]	PUNCT
cana-619	28	5	,	,	PUNCT
cana-619	28	6	author	author	NOUN
cana-619	28	7	explored	explore	VERB
cana-619	28	8	the	the	DET
cana-619	28	9	algebraic	algebraic	ADJ
cana-619	28	10	properties	property	NOUN
cana-619	28	11	of	of	ADP
cana-619	28	12	the	the	DET
cana-619	28	13	ring	ring	NOUN
cana-619	28	14	r	r	NOUN
cana-619	28	15	and	and	CCONJ
cana-619	28	16	defined	define	VERB
cana-619	28	17	a	a	DET
cana-619	28	18	characterised	characterise	VERB
cana-619	28	19	as	as	ADP
cana-619	28	20	the	the	DET
cana-619	28	21	gau	gau	NOUN
cana-619	28	22	proximity	proximity	NOUN
cana-619	28	23	of	of	ADP
cana-619	28	24	dna	dna	PROPN
cana-619	28	25	and	and	CCONJ
cana-619	28	26	the	the	DET
cana-619	28	27	other	other	ADJ
cana-619	28	28	components	component	NOUN
cana-619	28	29	of	of	ADP
cana-619	28	30	the	the	DET
cana-619	28	31	ring	ring	PROPN
cana-619	28	32	r.	r.	PROPN
cana-619	28	33	in	in	ADP
cana-619	28	34	2021	2021	NUM
cana-619	28	35	,	,	PUNCT
cana-619	28	36	alahmadi	alahmadi	VERB
cana-619	28	37	[	[	X
cana-619	28	38	2	2	NUM
cana-619	28	39	]	]	PUNCT
cana-619	28	40	proposed	propose	VERB
cana-619	28	41	that	that	SCONJ
cana-619	28	42	reverse	reverse	NOUN
cana-619	28	43	complement	complement	NOUN
cana-619	28	44	constraints	constraint	NOUN
cana-619	28	45	the	the	DET
cana-619	28	46	particular	particular	ADJ
cana-619	28	47	codes	code	NOUN
cana-619	28	48	in	in	ADP
cana-619	28	49	the	the	DET
cana-619	28	50	ring	ring	NOUN
cana-619	28	51	r.	r.	PROPN
cana-619	28	52	in	in	ADP
cana-619	28	53	2022	2022	NUM
cana-619	28	54	,	,	PUNCT
cana-619	28	55	kim	kim	PROPN
cana-619	28	56	,	,	PUNCT
cana-619	28	57	jon	jon	NOUN
cana-619	28	58	-	-	PUNCT
cana-619	28	59	lark	lark	NOUN
cana-619	28	60	,	,	PUNCT
cana-619	28	61	and	and	CCONJ
cana-619	28	62	dong	dong	PROPN
cana-619	28	63	eun	eun	PROPN
cana-619	28	64	ohk	ohk	PROPN
cana-619	29	1	[	[	X
cana-619	29	2	9	9	NUM
cana-619	29	3	]	]	PUNCT
cana-619	29	4	described	describe	VERB
cana-619	29	5	the	the	DET
cana-619	29	6	genetic	genetic	ADJ
cana-619	29	7	codes	code	NOUN
cana-619	29	8	featuring	feature	VERB
cana-619	29	9	static	static	ADJ
cana-619	29	10	value	value	NOUN
cana-619	29	11	dispersion	dispersion	NOUN
cana-619	29	12	subject	subject	NOUN
cana-619	29	13	to	to	ADP
cana-619	29	14	gc	gc	PROPN
cana-619	29	15	-	-	PUNCT
cana-619	29	16	content	content	NOUN
cana-619	29	17	limitations	limitation	NOUN
cana-619	29	18	and	and	CCONJ
cana-619	29	19	least	least	ADJ
cana-619	29	20	dispersion	dispersion	NOUN
cana-619	29	21	subject	subject	ADJ
cana-619	29	22	to	to	ADP
cana-619	29	23	retroactive	retroactive	ADJ
cana-619	29	24	reinforce	reinforce	NOUN
cana-619	29	25	limitations	limitation	NOUN
cana-619	29	26	.	.	PUNCT
cana-619	30	1	the	the	DET
cana-619	30	2	huffman	huffman	PROPN
cana-619	30	3	encoding	encoding	NOUN
cana-619	30	4	methodology	methodology	NOUN
cana-619	30	5	was	be	AUX
cana-619	30	6	further	far	ADV
cana-619	30	7	refined	refine	VERB
cana-619	30	8	in	in	ADP
cana-619	30	9	2009	2009	NUM
cana-619	30	10	by	by	ADP
cana-619	30	11	m.	m.	NOUN
cana-619	30	12	ailenberg	ailenberg	PROPN
cana-619	30	13	and	and	CCONJ
cana-619	30	14	o.	o.	PROPN
cana-619	30	15	d.	d.	PROPN
cana-619	30	16	rotstein	rotstein	PROPN
cana-619	31	1	[	[	X
cana-619	31	2	1	1	X
cana-619	31	3	]	]	PUNCT
cana-619	31	4	for	for	ADP
cana-619	31	5	the	the	DET
cana-619	31	6	preservation	preservation	NOUN
cana-619	31	7	of	of	ADP
cana-619	31	8	written	write	VERB
cana-619	31	9	content	content	NOUN
cana-619	31	10	,	,	PUNCT
cana-619	31	11	visual	visual	ADJ
cana-619	31	12	content	content	NOUN
cana-619	31	13	,	,	PUNCT
cana-619	31	14	and	and	CCONJ
cana-619	31	15	acoustic	acoustic	ADJ
cana-619	31	16	characters	character	NOUN
cana-619	31	17	in	in	ADP
cana-619	31	18	dna	dna	PROPN
cana-619	31	19	.	.	PUNCT
cana-619	32	1	using	use	VERB
cana-619	32	2	a	a	DET
cana-619	32	3	huffman	huffman	NOUN
cana-619	32	4	encoder	encoder	NOUN
cana-619	32	5	and	and	CCONJ
cana-619	32	6	receiver	receiver	ADJ
cana-619	32	7	process	process	NOUN
cana-619	32	8	by	by	ADP
cana-619	32	9	ijulia	ijulia	NOUN
cana-619	32	10	[	[	X
cana-619	32	11	19	19	NUM
cana-619	32	12	]	]	PUNCT
cana-619	32	13	.	.	PUNCT
cana-619	33	1	in	in	ADP
cana-619	33	2	2022	2022	NUM
cana-619	33	3	,	,	PUNCT
cana-619	33	4	sultana	sultana	NOUN
cana-619	33	5	,	,	PUNCT
cana-619	33	6	nahar	nahar	PROPN
cana-619	33	7	,	,	PUNCT
cana-619	33	8	tasnim	tasnim	NOUN
cana-619	33	9	,	,	PUNCT
cana-619	33	10	hossain	hossain	PROPN
cana-619	33	11	and	and	CCONJ
cana-619	33	12	andersson	andersson	PROPN
cana-619	33	13	[	[	X
cana-619	33	14	18	18	NUM
cana-619	33	15	]	]	PUNCT
cana-619	33	16	researched	research	VERB
cana-619	33	17	about	about	ADP
cana-619	33	18	an	an	DET
cana-619	33	19	effective	effective	ADJ
cana-619	33	20	technique	technique	NOUN
cana-619	33	21	for	for	ADP
cana-619	33	22	compressing	compress	VERB
cana-619	33	23	and	and	CCONJ
cana-619	33	24	decoding	decode	VERB
cana-619	33	25	to	to	PART
cana-619	33	26	reduce	reduce	VERB
cana-619	33	27	the	the	DET
cana-619	33	28	dimensions	dimension	NOUN
cana-619	33	29	of	of	ADP
cana-619	33	30	huffman	huffman	PROPN
cana-619	33	31	networks	network	NOUN
cana-619	33	32	.	.	PUNCT
cana-619	34	1	in	in	ADP
cana-619	34	2	2003	2003	NUM
cana-619	34	3	,	,	PUNCT
cana-619	34	4	the	the	DET
cana-619	34	5	article	article	NOUN
cana-619	34	6	[	[	X
cana-619	34	7	8	8	NUM
cana-619	34	8	]	]	PUNCT
cana-619	34	9	dealt	deal	VERB
cana-619	34	10	about	about	ADP
cana-619	34	11	the	the	DET
cana-619	34	12	replacement	replacement	NOUN
cana-619	34	13	polymorphism	polymorphism	NOUN
cana-619	34	14	system	system	NOUN
cana-619	34	15	(	(	PUNCT
cana-619	34	16	spn	spn	NOUN
cana-619	34	17	)	)	PUNCT
cana-619	34	18	symmetric	symmetric	ADJ
cana-619	34	19	block	block	NOUN
cana-619	34	20	crypts	crypt	NOUN
cana-619	34	21	'	'	PART
cana-619	34	22	parity	parity	NOUN
cana-619	34	23	code	code	NOUN
cana-619	34	24	based	base	VERB
cana-619	34	25	concurrent	concurrent	ADJ
cana-619	34	26	error	error	NOUN
cana-619	34	27	detection	detection	NOUN
cana-619	34	28	(	(	PUNCT
cana-619	34	29	ced	ced	ADJ
cana-619	34	30	)	)	PUNCT
cana-619	34	31	mechanism	mechanism	NOUN
cana-619	34	32	versus	versus	ADP
cana-619	34	33	such	such	ADJ
cana-619	34	34	assaults	assault	NOUN
cana-619	34	35	.	.	PUNCT
cana-619	35	1	in	in	ADP
cana-619	35	2	2021	2021	NUM
cana-619	35	3	,	,	PUNCT
cana-619	35	4	rankin	rankin	PROPN
cana-619	35	5	,	,	PUNCT
cana-619	35	6	david	david	PROPN
cana-619	36	1	[	[	X
cana-619	36	2	15	15	NUM
cana-619	36	3	]	]	PUNCT
cana-619	36	4	implemented	implement	VERB
cana-619	36	5	solely	solely	ADV
cana-619	36	6	one	one	NUM
cana-619	36	7	parity	parity	NOUN
cana-619	36	8	verification	verification	NOUN
cana-619	36	9	programme	programme	NOUN
cana-619	36	10	for	for	ADP
cana-619	36	11	recognising	recognise	VERB
cana-619	36	12	inconsistencies	inconsistency	NOUN
cana-619	36	13	in	in	ADP
cana-619	36	14	this	this	DET
cana-619	36	15	research	research	NOUN
cana-619	36	16	article	article	NOUN
cana-619	36	17	,	,	PUNCT
cana-619	36	18	we	we	PRON
cana-619	36	19	examined	examine	VERB
cana-619	36	20	non	non	ADJ
cana-619	36	21	deterministic	deterministic	ADJ
cana-619	36	22	zerodivisor	zerodivisor	NOUN
cana-619	36	23	graph	graph	NOUN
cana-619	36	24	on	on	ADP
cana-619	36	25	dna	dna	PROPN
cana-619	36	26	codes	code	NOUN
cana-619	36	27	for	for	ADP
cana-619	36	28	error	error	NOUN
cana-619	36	29	detection	detection	NOUN
cana-619	36	30	.	.	PUNCT
cana-619	37	1	in	in	ADP
cana-619	37	2	section	section	NOUN
cana-619	37	3	2	2	NUM
cana-619	37	4	,	,	PUNCT
cana-619	37	5	crucial	crucial	ADJ
cana-619	37	6	definitions	definition	NOUN
cana-619	37	7	are	be	AUX
cana-619	37	8	mentioned	mention	VERB
cana-619	37	9	.	.	PUNCT
cana-619	38	1	in	in	ADP
cana-619	38	2	section	section	NOUN
cana-619	38	3	3	3	NUM
cana-619	38	4	,	,	PUNCT
cana-619	38	5	we	we	PRON
cana-619	38	6	defined	define	VERB
cana-619	38	7	a	a	DET
cana-619	38	8	genetic	genetic	ADJ
cana-619	38	9	code	code	NOUN
cana-619	38	10	algebra	algebra	NOUN
cana-619	38	11	as	as	ADP
cana-619	38	12	odd	odd	ADJ
cana-619	38	13	and	and	CCONJ
cana-619	38	14	even	even	ADV
cana-619	38	15	codons	codon	NOUN
cana-619	38	16	.	.	PUNCT
cana-619	39	1	in	in	ADP
cana-619	39	2	section	section	NOUN
cana-619	39	3	4	4	NUM
cana-619	39	4	,	,	PUNCT
cana-619	39	5	we	we	PRON
cana-619	39	6	looked	look	VERB
cana-619	39	7	at	at	ADP
cana-619	39	8	the	the	DET
cana-619	39	9	odd	odd	ADJ
cana-619	39	10	and	and	CCONJ
cana-619	39	11	even	even	ADV
cana-619	39	12	parity	parity	NOUN
cana-619	39	13	check	check	NOUN
cana-619	39	14	codes	code	NOUN
cana-619	39	15	for	for	ADP
cana-619	39	16	error	error	NOUN
cana-619	39	17	correction	correction	NOUN
cana-619	39	18	.	.	PUNCT
cana-619	40	1	in	in	ADP
cana-619	40	2	section	section	NOUN
cana-619	40	3	5	5	NUM
cana-619	40	4	,	,	PUNCT
cana-619	40	5	we	we	PRON
cana-619	40	6	provide	provide	VERB
cana-619	40	7	an	an	DET
cana-619	40	8	analysis	analysis	NOUN
cana-619	40	9	of	of	ADP
cana-619	40	10	dna	dna	PROPN
cana-619	40	11	sequences	sequence	NOUN
cana-619	40	12	using	use	VERB
cana-619	40	13	the	the	DET
cana-619	40	14	huffman	huffman	PROPN
cana-619	40	15	coding	code	VERB
cana-619	40	16	technique	technique	NOUN
cana-619	40	17	for	for	ADP
cana-619	40	18	message	message	NOUN
cana-619	40	19	encoding	encoding	NOUN
cana-619	40	20	and	and	CCONJ
cana-619	40	21	decoding	decode	VERB
cana-619	40	22	.	.	PUNCT
cana-619	41	1	2	2	X
cana-619	41	2	.	.	X
cana-619	41	3	preliminaries	preliminary	NOUN
cana-619	41	4	hereby	hereby	ADV
cana-619	41	5	,	,	PUNCT
cana-619	41	6	stepped	step	VERB
cana-619	41	7	over	over	ADV
cana-619	41	8	over	over	ADP
cana-619	41	9	a	a	DET
cana-619	41	10	few	few	ADJ
cana-619	41	11	essential	essential	ADJ
cana-619	41	12	definitions	definition	NOUN
cana-619	41	13	which	which	PRON
cana-619	41	14	have	have	VERB
cana-619	41	15	relevance	relevance	NOUN
cana-619	41	16	to	to	ADP
cana-619	41	17	our	our	PRON
cana-619	41	18	substantial	substantial	ADJ
cana-619	41	19	concepts	concept	NOUN
cana-619	41	20	.	.	PUNCT
cana-619	42	1	definition	definition	NOUN
cana-619	42	2	2.1	2.1	NUM
cana-619	42	3	.	.	PUNCT
cana-619	43	1	[	[	X
cana-619	43	2	12	12	NUM
cana-619	43	3	]	]	PUNCT
cana-619	43	4	the	the	DET
cana-619	43	5	nucleotide	nucleotide	NOUN
cana-619	43	6	is	be	AUX
cana-619	43	7	the	the	DET
cana-619	43	8	genetic	genetic	ADJ
cana-619	43	9	order	order	NOUN
cana-619	43	10	in	in	ADP
cana-619	43	11	ribonucleic	ribonucleic	ADJ
cana-619	43	12	acid	acid	NOUN
cana-619	43	13	(	(	PUNCT
cana-619	43	14	rna	rna	PROPN
cana-619	43	15	)	)	PUNCT
cana-619	43	16	and	and	CCONJ
cana-619	43	17	deoxyribonucleic	deoxyribonucleic	ADJ
cana-619	43	18	acid	acid	NOUN
cana-619	43	19	(	(	PUNCT
cana-619	43	20	dna	dna	PROPN
cana-619	43	21	)	)	PUNCT
cana-619	43	22	that	that	PRON
cana-619	43	23	establishes	establish	VERB
cana-619	43	24	the	the	DET
cana-619	43	25	protein	protein	NOUN
cana-619	43	26	amino	amino	NOUN
cana-619	43	27	acid	acid	NOUN
cana-619	43	28	chain	chain	NOUN
cana-619	43	29	.	.	PUNCT
cana-619	44	1	antibodies	antibody	NOUN
cana-619	44	2	are	be	AUX
cana-619	44	3	not	not	PART
cana-619	44	4	communications	communication	NOUN
cana-619	44	5	on	on	ADP
cana-619	44	6	applied	apply	VERB
cana-619	44	7	nonlinear	nonlinear	ADJ
cana-619	44	8	analysis	analysis	NOUN
cana-619	44	9	issn	issn	NOUN
cana-619	44	10	:	:	PUNCT
cana-619	44	11	1074	1074	NUM
cana-619	44	12	-	-	PUNCT
cana-619	44	13	133x	133x	NUM
cana-619	44	14	vol	vol	NOUN
cana-619	44	15	31	31	NUM
cana-619	44	16	no	no	NOUN
cana-619	44	17	.	.	PUNCT
cana-619	45	1	2s	2s	NUM
cana-619	45	2	(	(	PUNCT
cana-619	45	3	2024	2024	NUM
cana-619	45	4	)	)	PUNCT
cana-619	45	5	175	175	NUM
cana-619	45	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-619	45	7	directly	directly	ADV
cana-619	45	8	produced	produce	VERB
cana-619	45	9	from	from	ADP
cana-619	45	10	dna	dna	PROPN
cana-619	45	11	,	,	PUNCT
cana-619	45	12	despite	despite	SCONJ
cana-619	45	13	the	the	DET
cana-619	45	14	fact	fact	NOUN
cana-619	45	15	that	that	SCONJ
cana-619	45	16	the	the	DET
cana-619	45	17	knowledge	knowledge	NOUN
cana-619	45	18	for	for	ADP
cana-619	45	19	the	the	DET
cana-619	45	20	amino	amino	NOUN
cana-619	45	21	acid	acid	NOUN
cana-619	45	22	sequences	sequence	NOUN
cana-619	45	23	is	be	AUX
cana-619	45	24	encoded	encode	VERB
cana-619	45	25	in	in	ADP
cana-619	45	26	the	the	DET
cana-619	45	27	linear	linear	ADJ
cana-619	45	28	sequence	sequence	NOUN
cana-619	45	29	of	of	ADP
cana-619	45	30	nucleotides	nucleotide	NOUN
cana-619	45	31	in	in	ADP
cana-619	45	32	dna	dna	PROPN
cana-619	45	33	.	.	PUNCT
cana-619	46	1	rather	rather	ADV
cana-619	46	2	,	,	PUNCT
cana-619	46	3	the	the	DET
cana-619	46	4	genetic	genetic	ADJ
cana-619	46	5	material	material	NOUN
cana-619	46	6	is	be	AUX
cana-619	46	7	utilised	utilise	VERB
cana-619	46	8	to	to	PART
cana-619	46	9	generate	generate	VERB
cana-619	46	10	a	a	DET
cana-619	46	11	molecule	molecule	NOUN
cana-619	46	12	of	of	ADP
cana-619	46	13	messenger	messenger	NOUN
cana-619	46	14	rna	rna	NOUN
cana-619	46	15	to	to	PART
cana-619	46	16	regulate	regulate	VERB
cana-619	46	17	the	the	DET
cana-619	46	18	synthesis	synthesis	NOUN
cana-619	46	19	of	of	ADP
cana-619	46	20	the	the	DET
cana-619	46	21	amino	amino	NOUN
cana-619	46	22	acids	acid	NOUN
cana-619	46	23	.	.	PUNCT
cana-619	47	1	the	the	DET
cana-619	47	2	four	four	NUM
cana-619	47	3	bases	basis	NOUN
cana-619	47	4	that	that	PRON
cana-619	47	5	composed	compose	VERB
cana-619	47	6	into	into	ADP
cana-619	47	7	rna	rna	NOUN
cana-619	47	8	are	be	AUX
cana-619	47	9	adenine	adenine	ADJ
cana-619	47	10	(	(	PUNCT
cana-619	47	11	a	a	X
cana-619	47	12	)	)	PUNCT
cana-619	47	13	,	,	PUNCT
cana-619	47	14	guanine	guanine	NOUN
cana-619	47	15	(	(	PUNCT
cana-619	47	16	g	g	NOUN
cana-619	47	17	)	)	PUNCT
cana-619	47	18	,	,	PUNCT
cana-619	47	19	cytosine	cytosine	NOUN
cana-619	47	20	(	(	PUNCT
cana-619	47	21	c	c	NOUN
cana-619	47	22	)	)	PUNCT
cana-619	47	23	,	,	PUNCT
cana-619	47	24	and	and	CCONJ
cana-619	47	25	uracil	uracil	NOUN
cana-619	47	26	(	(	PUNCT
cana-619	47	27	u	u	NOUN
cana-619	47	28	)	)	PUNCT
cana-619	47	29	.	.	PUNCT
cana-619	48	1	definition	definition	NOUN
cana-619	48	2	2.2	2.2	NUM
cana-619	48	3	.	.	PUNCT
cana-619	49	1	[	[	X
cana-619	49	2	3	3	X
cana-619	49	3	]	]	PUNCT
cana-619	49	4	in	in	ADP
cana-619	49	5	the	the	DET
cana-619	49	6	event	event	NOUN
cana-619	49	7	that	that	SCONJ
cana-619	49	8	there	there	PRON
cana-619	49	9	is	be	VERB
cana-619	49	10	a	a	DET
cana-619	49	11	non	non	ADJ
cana-619	49	12	zero	zero	NUM
cana-619	49	13	element	element	NOUN
cana-619	49	14	b	b	PROPN
cana-619	49	15	∈	∈	PROPN
cana-619	49	16	r	r	NOUN
cana-619	49	17	such	such	ADJ
cana-619	49	18	that	that	SCONJ
cana-619	49	19	ab	ab	PROPN
cana-619	49	20	=	=	NOUN
cana-619	49	21	0	0	NUM
cana-619	49	22	in	in	ADP
cana-619	49	23	r	r	NOUN
cana-619	49	24	,	,	PUNCT
cana-619	49	25	then	then	ADV
cana-619	49	26	a	a	DET
cana-619	49	27	not	not	PART
cana-619	49	28	equal	equal	ADJ
cana-619	49	29	to	to	ADP
cana-619	49	30	zero	zero	NUM
cana-619	49	31	variable	variable	NOUN
cana-619	49	32	a	a	DET
cana-619	49	33	∈	∈	NOUN
cana-619	49	34	r	r	NOUN
cana-619	49	35	is	be	AUX
cana-619	49	36	termed	term	VERB
cana-619	49	37	to	to	ADP
cana-619	49	38	as	as	ADP
cana-619	49	39	a	a	DET
cana-619	49	40	zero	zero	NUM
cana-619	49	41	divisor	divisor	NOUN
cana-619	49	42	graph	graph	NOUN
cana-619	49	43	.	.	PUNCT
cana-619	50	1	definition	definition	NOUN
cana-619	50	2	2.3	2.3	NUM
cana-619	50	3	.	.	PUNCT
cana-619	51	1	[	[	X
cana-619	51	2	17	17	NUM
cana-619	51	3	]	]	PUNCT
cana-619	51	4	consider	consider	VERB
cana-619	51	5	a	a	DET
cana-619	51	6	zero	zero	NUM
cana-619	51	7	-	-	PUNCT
cana-619	51	8	divisor	divisor	NOUN
cana-619	51	9	graph	graph	NOUN
cana-619	51	10	,	,	PUNCT
cana-619	51	11	zn	zn	PROPN
cana-619	51	12	.	.	PUNCT
cana-619	52	1	the	the	DET
cana-619	52	2	zero	zero	NUM
cana-619	52	3	-	-	PUNCT
cana-619	52	4	divisor	divisor	NOUN
cana-619	52	5	graph	graph	NOUN
cana-619	52	6	zn	zn	PROPN
cana-619	52	7	is	be	AUX
cana-619	52	8	referred	refer	VERB
cana-619	52	9	to	to	ADP
cana-619	52	10	as	as	ADP
cana-619	52	11	a	a	DET
cana-619	52	12	non	non	ADJ
cana-619	52	13	-	-	ADJ
cana-619	52	14	deterministic	deterministic	ADJ
cana-619	52	15	zero	zero	NUM
cana-619	52	16	-	-	PUNCT
cana-619	52	17	divisor	divisor	NOUN
cana-619	52	18	graph	graph	NOUN
cana-619	52	19	if	if	SCONJ
cana-619	52	20	it	it	PRON
cana-619	52	21	is	be	AUX
cana-619	52	22	nondeterministic	nondeterministic	ADJ
cana-619	52	23	in	in	ADP
cana-619	52	24	the	the	DET
cana-619	52	25	sense	sense	NOUN
cana-619	52	26	that	that	SCONJ
cana-619	52	27	the	the	DET
cana-619	52	28	results	result	NOUN
cana-619	52	29	from	from	ADP
cana-619	52	30	particular	particular	ADJ
cana-619	52	31	actions	action	NOUN
cana-619	52	32	or	or	CCONJ
cana-619	52	33	occurrences	occurrence	NOUN
cana-619	52	34	are	be	AUX
cana-619	52	35	not	not	PART
cana-619	52	36	precisely	precisely	ADV
cana-619	52	37	determined	determined	ADJ
cana-619	52	38	(	(	PUNCT
cana-619	52	39	i.e.	i.e.	X
cana-619	52	40	,	,	PUNCT
cana-619	52	41	there	there	PRON
cana-619	52	42	exists	exist	VERB
cana-619	52	43	a	a	DET
cana-619	52	44	certain	certain	ADJ
cana-619	52	45	number	number	NOUN
cana-619	52	46	of	of	ADP
cana-619	52	47	possibilities	possibility	NOUN
cana-619	52	48	for	for	ADP
cana-619	52	49	every	every	DET
cana-619	52	50	vertex	vertex	NOUN
cana-619	52	51	set	set	NOUN
cana-619	52	52	)	)	PUNCT
cana-619	52	53	.	.	PUNCT
cana-619	53	1	definition	definition	NOUN
cana-619	53	2	2.4	2.4	NUM
cana-619	53	3	.	.	PUNCT
cana-619	54	1	[	[	X
cana-619	54	2	15	15	NUM
cana-619	54	3	]	]	X
cana-619	54	4	an	an	DET
cana-619	54	5	additional	additional	ADJ
cana-619	54	6	bit	bit	NOUN
cana-619	54	7	added	add	VERB
cana-619	54	8	to	to	ADP
cana-619	54	9	a	a	DET
cana-619	54	10	binary	binary	ADJ
cana-619	54	11	message	message	NOUN
cana-619	54	12	that	that	PRON
cana-619	54	13	renders	render	VERB
cana-619	54	14	the	the	DET
cana-619	54	15	total	total	ADJ
cana-619	54	16	number	number	NOUN
cana-619	54	17	of	of	ADP
cana-619	54	18	1s	1s	NUM
cana-619	54	19	remain	remain	VERB
cana-619	54	20	odd	odd	ADJ
cana-619	54	21	or	or	CCONJ
cana-619	54	22	even	even	ADV
cana-619	54	23	.	.	PUNCT
cana-619	55	1	this	this	PRON
cana-619	55	2	is	be	AUX
cana-619	55	3	called	call	VERB
cana-619	55	4	a	a	DET
cana-619	55	5	parity	parity	NOUN
cana-619	55	6	bit	bit	NOUN
cana-619	55	7	.	.	PUNCT
cana-619	56	1	the	the	DET
cana-619	56	2	total	total	ADJ
cana-619	56	3	number	number	NOUN
cana-619	56	4	of	of	ADP
cana-619	56	5	1s	1s	NUM
cana-619	56	6	in	in	ADP
cana-619	56	7	a	a	DET
cana-619	56	8	string	string	NOUN
cana-619	56	9	of	of	ADP
cana-619	56	10	binary	binary	ADJ
cana-619	56	11	characters	character	NOUN
cana-619	56	12	is	be	AUX
cana-619	56	13	indicated	indicate	VERB
cana-619	56	14	by	by	ADP
cana-619	56	15	a	a	DET
cana-619	56	16	parity	parity	NOUN
cana-619	56	17	word	word	NOUN
cana-619	56	18	.	.	PUNCT
cana-619	57	1	even	even	ADV
cana-619	57	2	and	and	CCONJ
cana-619	57	3	odd	odd	ADJ
cana-619	57	4	parity	parity	NOUN
cana-619	57	5	checks	check	NOUN
cana-619	57	6	are	be	AUX
cana-619	57	7	the	the	DET
cana-619	57	8	two	two	NUM
cana-619	57	9	types	type	NOUN
cana-619	57	10	of	of	ADP
cana-619	57	11	parity	parity	NOUN
cana-619	57	12	systems	system	NOUN
cana-619	57	13	.	.	PUNCT
cana-619	58	1	3	3	X
cana-619	58	2	.	.	X
cana-619	58	3	graphical	graphical	ADJ
cana-619	58	4	representation	representation	NOUN
cana-619	58	5	of	of	ADP
cana-619	58	6	genetic	genetic	ADJ
cana-619	58	7	code	code	NOUN
cana-619	58	8	algebra	algebra	NOUN
cana-619	58	9	in	in	ADP
cana-619	58	10	this	this	DET
cana-619	58	11	section	section	NOUN
cana-619	58	12	,	,	PUNCT
cana-619	58	13	the	the	DET
cana-619	58	14	exact	exact	ADJ
cana-619	58	15	amino	amino	NOUN
cana-619	58	16	acid	acid	NOUN
cana-619	58	17	sequence	sequence	NOUN
cana-619	58	18	that	that	PRON
cana-619	58	19	corresponds	correspond	VERB
cana-619	58	20	to	to	ADP
cana-619	58	21	an	an	DET
cana-619	58	22	amino	amino	NOUN
cana-619	58	23	acid	acid	NOUN
cana-619	58	24	of	of	ADP
cana-619	58	25	the	the	DET
cana-619	58	26	genetic	genetic	ADJ
cana-619	58	27	code	code	NOUN
cana-619	58	28	.	.	PUNCT
cana-619	59	1	as	as	ADP
cana-619	59	2	a	a	DET
cana-619	59	3	consequence	consequence	NOUN
cana-619	59	4	,	,	PUNCT
cana-619	59	5	the	the	DET
cana-619	59	6	nucleotide	nucleotide	ADJ
cana-619	59	7	sequence	sequence	NOUN
cana-619	59	8	perceived	perceive	VERB
cana-619	59	9	in	in	ADP
cana-619	59	10	either	either	DET
cana-619	59	11	messenger	messenger	NOUN
cana-619	59	12	ribonucleic	ribonucleic	ADJ
cana-619	59	13	acid	acid	PROPN
cana-619	59	14	(	(	PUNCT
cana-619	59	15	mrna	mrna	PROPN
cana-619	59	16	)	)	PUNCT
cana-619	59	17	.	.	PUNCT
cana-619	60	1	in	in	ADP
cana-619	60	2	mrna	mrna	PROPN
cana-619	60	3	,	,	PUNCT
cana-619	60	4	there	there	PRON
cana-619	60	5	are	be	VERB
cana-619	60	6	two	two	NUM
cana-619	60	7	long	long	ADJ
cana-619	60	8	chains	chain	NOUN
cana-619	60	9	of	of	ADP
cana-619	60	10	nucleotides	nucleotide	NOUN
cana-619	60	11	that	that	PRON
cana-619	60	12	complement	complement	VERB
cana-619	60	13	each	each	DET
cana-619	60	14	other	other	ADJ
cana-619	60	15	:	:	PUNCT
cana-619	60	16	adenine	adenine	NOUN
cana-619	60	17	(	(	PUNCT
cana-619	60	18	a	a	X
cana-619	60	19	)	)	PUNCT
cana-619	60	20	,	,	PUNCT
cana-619	60	21	cytosine	cytosine	NOUN
cana-619	60	22	(	(	PUNCT
cana-619	60	23	c	c	NOUN
cana-619	60	24	)	)	PUNCT
cana-619	60	25	,	,	PUNCT
cana-619	60	26	guanine	guanine	NOUN
cana-619	60	27	(	(	PUNCT
cana-619	60	28	g	g	NOUN
cana-619	60	29	)	)	PUNCT
cana-619	60	30	,	,	PUNCT
cana-619	60	31	uracil(u	uracil(u	PROPN
cana-619	60	32	)	)	PUNCT
cana-619	60	33	.	.	PUNCT
cana-619	61	1	a	a	DET
cana-619	61	2	codon	codon	NOUN
cana-619	61	3	is	be	AUX
cana-619	61	4	made	make	VERB
cana-619	61	5	up	up	ADP
cana-619	61	6	of	of	ADP
cana-619	61	7	three	three	NUM
cana-619	61	8	consecutive	consecutive	ADJ
cana-619	61	9	mrna	mrna	NOUN
cana-619	61	10	nucleotides	nucleotide	NOUN
cana-619	61	11	.	.	PUNCT
cana-619	62	1	every	every	DET
cana-619	62	2	codon	codon	NOUN
cana-619	62	3	designates	designate	VERB
cana-619	62	4	a	a	DET
cana-619	62	5	specific	specific	ADJ
cana-619	62	6	amino	amino	NOUN
cana-619	62	7	acid	acid	NOUN
cana-619	62	8	.	.	PUNCT
cana-619	63	1	it	it	PRON
cana-619	63	2	is	be	AUX
cana-619	63	3	possible	possible	ADJ
cana-619	63	4	to	to	PART
cana-619	63	5	give	give	VERB
cana-619	63	6	the	the	DET
cana-619	63	7	set	set	NOUN
cana-619	63	8	of	of	ADP
cana-619	63	9	64	64	NUM
cana-619	63	10	codons	codon	NOUN
cana-619	63	11	a	a	DET
cana-619	63	12	compatible	compatible	ADJ
cana-619	63	13	ring	ring	NOUN
cana-619	63	14	topology	topology	NOUN
cana-619	63	15	to	to	ADP
cana-619	63	16	the	the	DET
cana-619	63	17	ring	ring	NOUN
cana-619	63	18	of	of	ADP
cana-619	63	19	integers	integer	NOUN
cana-619	63	20	modulo	modulo	VERB
cana-619	63	21	64{z64	64{z64	PRON
cana-619	63	22	}	}	PUNCT
cana-619	63	23	.	.	PUNCT
cana-619	64	1	we	we	PRON
cana-619	64	2	have	have	AUX
cana-619	64	3	demonstrated	demonstrate	VERB
cana-619	64	4	how	how	SCONJ
cana-619	64	5	certain	certain	ADJ
cana-619	64	6	sorts	sort	NOUN
cana-619	64	7	of	of	ADP
cana-619	64	8	mutations	mutation	NOUN
cana-619	64	9	on	on	ADP
cana-619	64	10	the	the	DET
cana-619	64	11	bases	basis	NOUN
cana-619	64	12	of	of	ADP
cana-619	64	13	codons	codon	NOUN
cana-619	64	14	divide	divide	VERB
cana-619	64	15	the	the	DET
cana-619	64	16	entire	entire	ADJ
cana-619	64	17	codon	codon	NOUN
cana-619	64	18	set	set	NOUN
cana-619	64	19	into	into	ADP
cana-619	64	20	disjoint	disjoint	NOUN
cana-619	64	21	graphs	graph	NOUN
cana-619	64	22	,	,	PUNCT
cana-619	64	23	which	which	PRON
cana-619	64	24	in	in	ADP
cana-619	64	25	turn	turn	NOUN
cana-619	64	26	create	create	VERB
cana-619	64	27	the	the	DET
cana-619	64	28	entire	entire	ADJ
cana-619	64	29	genetic	genetic	ADJ
cana-619	64	30	code	code	NOUN
cana-619	64	31	graph	graph	NOUN
cana-619	64	32	.	.	PUNCT
cana-619	65	1	the	the	DET
cana-619	65	2	set	set	NOUN
cana-619	65	3	of	of	ADP
cana-619	65	4	non	non	ADJ
cana-619	65	5	deterministic	deterministic	ADJ
cana-619	65	6	zero	zero	NUM
cana-619	65	7	divisor	divisor	NOUN
cana-619	65	8	graph	graph	NOUN
cana-619	65	9	in	in	ADP
cana-619	65	10	the	the	DET
cana-619	65	11	ring	ring	NOUN
cana-619	65	12	z64	z64	NOUN
cana-619	65	13	is	be	AUX
cana-619	65	14	represented	represent	VERB
cana-619	65	15	as	as	ADP
cana-619	65	16	{	{	PUNCT
cana-619	65	17	z64	z64	NOUN
cana-619	65	18	}	}	PUNCT
cana-619	65	19	=	=	SYM
cana-619	65	20	{	{	PUNCT
cana-619	65	21	aag	aag	PROPN
cana-619	65	22	,	,	PUNCT
cana-619	65	23	caa	caa	NOUN
cana-619	65	24	,	,	PUNCT
cana-619	65	25	gaa	gaa	PROPN
cana-619	65	26	,	,	PUNCT
cana-619	65	27	aca	aca	PROPN
cana-619	65	28	,	,	PUNCT
cana-619	65	29	aga	aga	PROPN
cana-619	65	30	}	}	PUNCT
cana-619	65	31	,	,	PUNCT
cana-619	65	32	in	in	ADP
cana-619	65	33	this	this	DET
cana-619	65	34	set	set	NOUN
cana-619	65	35	are	be	AUX
cana-619	65	36	hydrophilic	hydrophilic	ADJ
cana-619	65	37	codons	codon	NOUN
cana-619	65	38	,	,	PUNCT
cana-619	65	39	or	or	CCONJ
cana-619	65	40	codes	code	NOUN
cana-619	65	41	for	for	ADP
cana-619	65	42	hydrophilic	hydrophilic	ADJ
cana-619	65	43	amino	amino	NOUN
cana-619	65	44	acids	acid	NOUN
cana-619	65	45	.	.	PUNCT
cana-619	66	1	theorem	theorem	VERB
cana-619	66	2	3.1	3.1	NUM
cana-619	66	3	.	.	PUNCT
cana-619	67	1	the	the	DET
cana-619	67	2	cartesian	cartesian	ADJ
cana-619	67	3	product	product	NOUN
cana-619	67	4	of	of	ADP
cana-619	67	5	the	the	DET
cana-619	67	6	set	set	NOUN
cana-619	67	7	of	of	ADP
cana-619	67	8	mrna	mrna	PROPN
cana-619	67	9	codons	codon	NOUN
cana-619	67	10	forms	form	VERB
cana-619	67	11	a	a	DET
cana-619	67	12	non	non	ADJ
cana-619	67	13	-	-	ADJ
cana-619	67	14	determinitic	determinitic	ADJ
cana-619	67	15	graph	graph	NOUN
cana-619	67	16	.	.	PUNCT
cana-619	68	1	proof	proof	NOUN
cana-619	68	2	.	.	PUNCT
cana-619	69	1	let	let	VERB
cana-619	69	2	us	we	PRON
cana-619	69	3	denote	denote	VERB
cana-619	69	4	the	the	DET
cana-619	69	5	cartesian	cartesian	ADJ
cana-619	69	6	product	product	NOUN
cana-619	69	7	of	of	ADP
cana-619	69	8	the	the	DET
cana-619	69	9	set	set	NOUN
cana-619	69	10	of	of	ADP
cana-619	69	11	mrna	mrna	PROPN
cana-619	69	12	codons	codon	NOUN
cana-619	69	13	with	with	ADP
cana-619	69	14	itself	itself	PRON
cana-619	69	15	gα	gα	ADP
cana-619	69	16	×	×	NOUN
cana-619	69	17	gα	gα	NOUN
cana-619	70	1	and	and	CCONJ
cana-619	70	2	gβ	gβ	ADP
cana-619	70	3	×	×	NOUN
cana-619	70	4	gβ	gβ	PROPN
cana-619	70	5	.	.	PUNCT
cana-619	71	1	the	the	DET
cana-619	71	2	set	set	NOUN
cana-619	71	3	of	of	ADP
cana-619	71	4	mrna	mrna	PROPN
cana-619	71	5	codons	codon	NOUN
cana-619	71	6	can	can	AUX
cana-619	71	7	be	be	AUX
cana-619	71	8	represented	represent	VERB
cana-619	71	9	as	as	ADP
cana-619	71	10	,	,	PUNCT
cana-619	71	11	gα	gα	ADP
cana-619	71	12	=	=	SYM
cana-619	71	13	{	{	PUNCT
cana-619	71	14	c1	c1	NOUN
cana-619	71	15	,	,	PUNCT
cana-619	71	16	c3,	c3,	NOUN
cana-619	71	17	…	…	SYM
cana-619	71	18	…	…	PUNCT
cana-619	71	19	…	…	PUNCT
cana-619	71	20	…	…	PUNCT
cana-619	71	21	,c63	,c63	ADP
cana-619	71	22	}	}	PUNCT
cana-619	71	23	and	and	CCONJ
cana-619	71	24	gα	gα	ADP
cana-619	71	25	=	=	PRON
cana-619	71	26	{	{	PUNCT
cana-619	71	27	c2	c2	PROPN
cana-619	71	28	,	,	PUNCT
cana-619	71	29	c4	c4	NOUN
cana-619	71	30	,	,	PUNCT
cana-619	71	31	............................	............................	PUNCT
cana-619	71	32	,	,	PUNCT
cana-619	71	33	c64	c64	PROPN
cana-619	71	34	}	}	PUNCT
cana-619	71	35	.	.	PUNCT
cana-619	72	1	the	the	DET
cana-619	72	2	cartesian	cartesian	ADJ
cana-619	72	3	product	product	NOUN
cana-619	72	4	of	of	ADP
cana-619	72	5	gα	gα	ADP
cana-619	72	6	×	×	NOUN
cana-619	72	7	gα	gα	NOUN
cana-619	72	8	is	be	AUX
cana-619	72	9	defined	define	VERB
cana-619	72	10	as	as	ADP
cana-619	72	11	,	,	PUNCT
cana-619	72	12	gα	gα	ADP
cana-619	72	13	×	×	NOUN
cana-619	72	14	gα	gα	NOUN
cana-619	72	15	=	=	PUNCT
cana-619	72	16	{	{	PUNCT
cana-619	72	17	(	(	PUNCT
cana-619	72	18	ci	ci	NOUN
cana-619	72	19	,	,	PUNCT
cana-619	72	20	cj)|ci	cj)|ci	VERB
cana-619	72	21	,	,	PUNCT
cana-619	72	22	cj	cj	NOUN
cana-619	72	23	∈	∈	NOUN
cana-619	72	24	gα	gα	NOUN
cana-619	72	25	}	}	PUNCT
cana-619	72	26	and	and	CCONJ
cana-619	72	27	gβ	gβ	AUX
cana-619	72	28	×	×	NOUN
cana-619	72	29	gβ	gβ	NOUN
cana-619	72	30	=	=	PUNCT
cana-619	72	31	{	{	PUNCT
cana-619	72	32	(	(	PUNCT
cana-619	72	33	ci	ci	NOUN
cana-619	72	34	,	,	PUNCT
cana-619	72	35	cj)|ci	cj)|ci	VERB
cana-619	72	36	,	,	PUNCT
cana-619	72	37	cj∈	cj∈	NOUN
cana-619	72	38	gβ	gβ	NOUN
cana-619	72	39	}	}	PUNCT
cana-619	72	40	.	.	PUNCT
cana-619	73	1	the	the	DET
cana-619	73	2	outcome	outcome	NOUN
cana-619	73	3	of	of	ADP
cana-619	73	4	the	the	DET
cana-619	73	5	event	event	NOUN
cana-619	73	6	is	be	AUX
cana-619	73	7	not	not	PART
cana-619	73	8	uniquely	uniquely	ADV
cana-619	73	9	determined	determined	ADJ
cana-619	73	10	is	be	AUX
cana-619	73	11	clearly	clearly	ADV
cana-619	73	12	from	from	ADP
cana-619	73	13	fig	fig	NOUN
cana-619	73	14	3.1	3.1	NUM
cana-619	73	15	(	(	PUNCT
cana-619	73	16	gα	gα	ADP
cana-619	73	17	×gα	×gα	PROPN
cana-619	73	18	)	)	PUNCT
cana-619	73	19	&	&	CCONJ
cana-619	73	20	fig	fig	PROPN
cana-619	73	21	3.2	3.2	NUM
cana-619	73	22	(	(	PUNCT
cana-619	73	23	gβ	gβ	PROPN
cana-619	73	24	×	×	NOUN
cana-619	73	25	gβ	gβ	NOUN
cana-619	73	26	)	)	PUNCT
cana-619	73	27	.	.	PUNCT
cana-619	74	1	communications	communication	NOUN
cana-619	74	2	on	on	ADP
cana-619	74	3	applied	apply	VERB
cana-619	74	4	nonlinear	nonlinear	ADJ
cana-619	74	5	analysis	analysis	NOUN
cana-619	74	6	issn	issn	NOUN
cana-619	74	7	:	:	PUNCT
cana-619	74	8	1074	1074	NUM
cana-619	74	9	-	-	PUNCT
cana-619	74	10	133x	133x	NUM
cana-619	74	11	vol	vol	NOUN
cana-619	74	12	31	31	NUM
cana-619	74	13	no	no	NOUN
cana-619	74	14	.	.	PUNCT
cana-619	75	1	2s	2s	NUM
cana-619	75	2	(	(	PUNCT
cana-619	75	3	2024	2024	NUM
cana-619	75	4	)	)	PUNCT
cana-619	75	5	176	176	NUM
cana-619	75	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-619	75	7	the	the	DET
cana-619	75	8	total	total	ADJ
cana-619	75	9	graph	graph	NOUN
cana-619	75	10	of	of	ADP
cana-619	75	11	the	the	DET
cana-619	75	12	codon	codon	NOUN
cana-619	75	13	set	set	NOUN
cana-619	75	14	can	can	AUX
cana-619	75	15	be	be	AUX
cana-619	75	16	segregated	segregate	VERB
cana-619	75	17	into	into	ADP
cana-619	75	18	odd	odd	ADJ
cana-619	75	19	codons	codon	NOUN
cana-619	75	20	and	and	CCONJ
cana-619	75	21	even	even	ADV
cana-619	75	22	codons	codon	NOUN
cana-619	75	23	.	.	PUNCT
cana-619	76	1	odd	odd	ADJ
cana-619	76	2	codons	codon	NOUN
cana-619	76	3	gα	gα	ADP
cana-619	76	4	=	=	PUNCT
cana-619	76	5	{	{	PUNCT
cana-619	76	6	aac	aac	PROPN
cana-619	76	7	,	,	PUNCT
cana-619	76	8	aau	aau	PROPN
cana-619	76	9	,	,	PUNCT
cana-619	76	10	cac	cac	PROPN
cana-619	76	11	,	,	PUNCT
cana-619	76	12	cau	cau	PROPN
cana-619	76	13	,	,	PUNCT
cana-619	76	14	gac	gac	PROPN
cana-619	76	15	,	,	PUNCT
cana-619	76	16	gau	gau	NOUN
cana-619	76	17	,	,	PUNCT
cana-619	76	18	uac	uac	NOUN
cana-619	76	19	,	,	PUNCT
cana-619	76	20	uau	uau	PROPN
cana-619	76	21	,	,	PUNCT
cana-619	76	22	acc	acc	PROPN
cana-619	76	23	,	,	PUNCT
cana-619	76	24	acu	acu	PROPN
cana-619	76	25	,	,	PUNCT
cana-619	76	26	ccc	ccc	PROPN
cana-619	76	27	,	,	PUNCT
cana-619	76	28	ccu	ccu	PROPN
cana-619	76	29	,	,	PUNCT
cana-619	76	30	gcc	gcc	NOUN
cana-619	76	31	,	,	PUNCT
cana-619	76	32	gcu	gcu	PROPN
cana-619	76	33	,	,	PUNCT
cana-619	76	34	ucc	ucc	PROPN
cana-619	76	35	,	,	PUNCT
cana-619	76	36	ucu	ucu	PROPN
cana-619	76	37	,	,	PUNCT
cana-619	76	38	agc	agc	PROPN
cana-619	76	39	,	,	PUNCT
cana-619	76	40	agu	agu	NOUN
cana-619	76	41	,	,	PUNCT
cana-619	76	42	cgc	cgc	PROPN
cana-619	76	43	,	,	PUNCT
cana-619	76	44	cgu	cgu	PROPN
cana-619	76	45	,	,	PUNCT
cana-619	76	46	ggc	ggc	PROPN
cana-619	76	47	,	,	PUNCT
cana-619	76	48	ggu	ggu	PROPN
cana-619	76	49	,	,	PUNCT
cana-619	76	50	ugc	ugc	PROPN
cana-619	76	51	,	,	PUNCT
cana-619	76	52	ugu	ugu	PROPN
cana-619	76	53	,	,	PUNCT
cana-619	76	54	auc	auc	NOUN
cana-619	76	55	,	,	PUNCT
cana-619	76	56	auu	auu	PROPN
cana-619	76	57	,	,	PUNCT
cana-619	76	58	cuc	cuc	PROPN
cana-619	76	59	,	,	PUNCT
cana-619	76	60	cuu	cuu	PROPN
cana-619	76	61	,	,	PUNCT
cana-619	76	62	guc	guc	PROPN
cana-619	76	63	,	,	PUNCT
cana-619	76	64	guu	guu	PROPN
cana-619	76	65	,	,	PUNCT
cana-619	76	66	uuc	uuc	PROPN
cana-619	76	67	,	,	PUNCT
cana-619	76	68	uuu	uuu	PROPN
cana-619	76	69	}	}	PUNCT
cana-619	76	70	fig	fig	NOUN
cana-619	76	71	3.1	3.1	NUM
cana-619	76	72	:	:	PUNCT
cana-619	76	73	gα	gα	ADP
cana-619	76	74	×	×	NOUN
cana-619	76	75	gα	gα	ADP
cana-619	76	76	even	even	ADV
cana-619	76	77	codons	codon	NOUN
cana-619	76	78	gβ	gβ	ADP
cana-619	76	79	=	=	NOUN
cana-619	76	80	{	{	PUNCT
cana-619	76	81	aaa	aaa	NOUN
cana-619	76	82	,	,	PUNCT
cana-619	76	83	aag	aag	PROPN
cana-619	76	84	,	,	PUNCT
cana-619	76	85	caa	caa	NOUN
cana-619	76	86	,	,	PUNCT
cana-619	76	87	cag	cag	PROPN
cana-619	76	88	,	,	PUNCT
cana-619	76	89	gaa	gaa	PROPN
cana-619	76	90	,	,	PUNCT
cana-619	76	91	gag	gag	NOUN
cana-619	76	92	,	,	PUNCT
cana-619	76	93	uaa	uaa	PROPN
cana-619	76	94	,	,	PUNCT
cana-619	76	95	uag	uag	PROPN
cana-619	76	96	,	,	PUNCT
cana-619	76	97	aca	aca	PROPN
cana-619	76	98	,	,	PUNCT
cana-619	76	99	acg	acg	PROPN
cana-619	76	100	,	,	PUNCT
cana-619	76	101	cca	cca	PROPN
cana-619	76	102	,	,	PUNCT
cana-619	76	103	ccg	ccg	PROPN
cana-619	76	104	,	,	PUNCT
cana-619	76	105	gca	gca	PROPN
cana-619	76	106	,	,	PUNCT
cana-619	76	107	gcg	gcg	PROPN
cana-619	76	108	,	,	PUNCT
cana-619	76	109	uca	uca	PROPN
cana-619	76	110	,	,	PUNCT
cana-619	76	111	ucg	ucg	PROPN
cana-619	76	112	,	,	PUNCT
cana-619	76	113	aga	aga	PROPN
cana-619	76	114	,	,	PUNCT
cana-619	76	115	agg	agg	PROPN
cana-619	76	116	,	,	PUNCT
cana-619	76	117	cga	cga	PROPN
cana-619	76	118	,	,	PUNCT
cana-619	76	119	cgg	cgg	NOUN
cana-619	76	120	,	,	PUNCT
cana-619	76	121	gga	gga	NOUN
cana-619	76	122	,	,	PUNCT
cana-619	76	123	ggg	ggg	NOUN
cana-619	76	124	,	,	PUNCT
cana-619	76	125	uga	uga	PROPN
cana-619	76	126	,	,	PUNCT
cana-619	76	127	ugg	ugg	PROPN
cana-619	76	128	,	,	PUNCT
cana-619	76	129	aua	aua	PROPN
cana-619	76	130	,	,	PUNCT
cana-619	76	131	aug	aug	PROPN
cana-619	76	132	,	,	PUNCT
cana-619	76	133	cua	cua	ADJ
cana-619	76	134	,	,	PUNCT
cana-619	76	135	cug	cug	PROPN
cana-619	76	136	,	,	PUNCT
cana-619	76	137	gua	gua	PROPN
cana-619	76	138	,	,	PUNCT
cana-619	76	139	gug	gug	PROPN
cana-619	76	140	,	,	PUNCT
cana-619	76	141	uua	uua	NOUN
cana-619	76	142	,	,	PUNCT
cana-619	76	143	uug	uug	PROPN
cana-619	76	144	.	.	PUNCT
cana-619	76	145	}	}	PUNCT
cana-619	76	146	fig	fig	VERB
cana-619	76	147	3.2	3.2	NUM
cana-619	76	148	:	:	PUNCT
cana-619	76	149	gβ×	gβ×	PROPN
cana-619	76	150	gβ	gβ	NOUN
cana-619	76	151	communications	communication	NOUN
cana-619	76	152	on	on	ADP
cana-619	76	153	applied	apply	VERB
cana-619	76	154	nonlinear	nonlinear	ADJ
cana-619	76	155	analysis	analysis	NOUN
cana-619	76	156	issn	issn	NOUN
cana-619	76	157	:	:	PUNCT
cana-619	76	158	1074	1074	NUM
cana-619	76	159	-	-	PUNCT
cana-619	76	160	133x	133x	NUM
cana-619	76	161	vol	vol	NOUN
cana-619	76	162	31	31	NUM
cana-619	76	163	no	no	NOUN
cana-619	76	164	.	.	PUNCT
cana-619	77	1	2s	2s	NUM
cana-619	77	2	(	(	PUNCT
cana-619	77	3	2024	2024	NUM
cana-619	77	4	)	)	PUNCT
cana-619	77	5	177	177	NUM
cana-619	77	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-619	77	7	we	we	PRON
cana-619	77	8	can	can	AUX
cana-619	77	9	obtain	obtain	VERB
cana-619	77	10	the	the	DET
cana-619	77	11	total	total	ADJ
cana-619	77	12	graph	graph	NOUN
cana-619	77	13	of	of	ADP
cana-619	77	14	{	{	PUNCT
cana-619	77	15	z4	z4	PROPN
cana-619	77	16	×	×	PROPN
cana-619	77	17	z4	z4	PROPN
cana-619	77	18	×	×	PROPN
cana-619	77	19	z4	z4	PROPN
cana-619	77	20	}	}	PUNCT
cana-619	77	21	as	as	ADP
cana-619	77	22	eight	eight	NUM
cana-619	77	23	disjoint	disjoint	NOUN
cana-619	77	24	graphs	graph	NOUN
cana-619	77	25	such	such	ADJ
cana-619	77	26	as	as	ADP
cana-619	77	27	,	,	PUNCT
cana-619	77	28	•	•	CCONJ
cana-619	77	29	the	the	DET
cana-619	77	30	amino	amino	NOUN
cana-619	77	31	acids	acid	NOUN
cana-619	77	32	of	of	ADP
cana-619	77	33	eight	eight	NUM
cana-619	77	34	set	set	NOUN
cana-619	77	35	of	of	ADP
cana-619	77	36	codons	codon	NOUN
cana-619	77	37	of	of	ADP
cana-619	77	38	g1	g1	PROPN
cana-619	77	39	are	be	AUX
cana-619	77	40	asparagine	asparagine	NOUN
cana-619	77	41	and	and	CCONJ
cana-619	77	42	tyrosine	tyrosine	NOUN
cana-619	77	43	.	.	PUNCT
cana-619	78	1	g1	g1	PROPN
cana-619	78	2	=	=	SYM
cana-619	78	3	{	{	PUNCT
cana-619	78	4	aac	aac	PROPN
cana-619	78	5	,	,	PUNCT
cana-619	78	6	aau	aau	PROPN
cana-619	78	7	,	,	PUNCT
cana-619	78	8	cac	cac	PROPN
cana-619	78	9	,	,	PUNCT
cana-619	78	10	cau	cau	PROPN
cana-619	78	11	,	,	PUNCT
cana-619	78	12	gac	gac	PROPN
cana-619	78	13	,	,	PUNCT
cana-619	78	14	gau	gau	NOUN
cana-619	78	15	,	,	PUNCT
cana-619	78	16	uac	uac	NOUN
cana-619	78	17	,	,	PUNCT
cana-619	78	18	uau	uau	PROPN
cana-619	78	19	}	}	PUNCT
cana-619	78	20	•	•	NOUN
cana-619	78	21	the	the	DET
cana-619	78	22	amino	amino	NOUN
cana-619	78	23	acids	acid	NOUN
cana-619	78	24	of	of	ADP
cana-619	78	25	eight	eight	NUM
cana-619	78	26	set	set	NOUN
cana-619	78	27	of	of	ADP
cana-619	78	28	codons	codon	NOUN
cana-619	78	29	of	of	ADP
cana-619	78	30	g2	g2	PROPN
cana-619	78	31	are	be	AUX
cana-619	78	32	threonine	threonine	ADJ
cana-619	78	33	and	and	CCONJ
cana-619	78	34	proline	proline	NOUN
cana-619	78	35	.	.	PUNCT
cana-619	79	1	g2	g2	PROPN
cana-619	79	2	=	=	PRON
cana-619	79	3	{	{	PUNCT
cana-619	79	4	acc	acc	PROPN
cana-619	79	5	,	,	PUNCT
cana-619	79	6	acu	acu	PROPN
cana-619	79	7	,	,	PUNCT
cana-619	79	8	ccc	ccc	PROPN
cana-619	79	9	,	,	PUNCT
cana-619	79	10	ccu	ccu	PROPN
cana-619	79	11	,	,	PUNCT
cana-619	79	12	gcc	gcc	NOUN
cana-619	79	13	,	,	PUNCT
cana-619	79	14	gcu	gcu	PROPN
cana-619	79	15	,	,	PUNCT
cana-619	79	16	ucc	ucc	PROPN
cana-619	79	17	,	,	PUNCT
cana-619	79	18	ucu	ucu	PROPN
cana-619	79	19	}	}	PUNCT
cana-619	79	20	•	•	NUM
cana-619	79	21	the	the	DET
cana-619	79	22	amino	amino	NOUN
cana-619	79	23	acids	acid	NOUN
cana-619	79	24	of	of	ADP
cana-619	79	25	eight	eight	NUM
cana-619	79	26	set	set	NOUN
cana-619	79	27	of	of	ADP
cana-619	79	28	codons	codon	NOUN
cana-619	79	29	of	of	ADP
cana-619	79	30	g3	g3	NOUN
cana-619	79	31	are	be	AUX
cana-619	79	32	serine	serine	NOUN
cana-619	79	33	and	and	CCONJ
cana-619	79	34	cysteine	cysteine	NOUN
cana-619	79	35	.	.	PUNCT
cana-619	80	1	g3	g3	PROPN
cana-619	80	2	=	=	PUNCT
cana-619	80	3	{	{	PUNCT
cana-619	80	4	agu	agu	PROPN
cana-619	80	5	,	,	PUNCT
cana-619	80	6	agc	agc	PROPN
cana-619	80	7	,	,	PUNCT
cana-619	80	8	cgu	cgu	PROPN
cana-619	80	9	,	,	PUNCT
cana-619	80	10	cgc	cgc	PROPN
cana-619	80	11	,	,	PUNCT
cana-619	80	12	ggc	ggc	PROPN
cana-619	80	13	,	,	PUNCT
cana-619	80	14	ggu	ggu	PROPN
cana-619	80	15	,	,	PUNCT
cana-619	80	16	ugu	ugu	PROPN
cana-619	80	17	,	,	PUNCT
cana-619	80	18	ugc	ugc	PROPN
cana-619	80	19	}	}	PUNCT
cana-619	80	20	•	•	NOUN
cana-619	80	21	the	the	DET
cana-619	80	22	amino	amino	NOUN
cana-619	80	23	acids	acid	NOUN
cana-619	80	24	of	of	ADP
cana-619	80	25	eight	eight	NUM
cana-619	80	26	set	set	NOUN
cana-619	80	27	of	of	ADP
cana-619	80	28	codons	codon	NOUN
cana-619	80	29	of	of	ADP
cana-619	80	30	g4	g4	NOUN
cana-619	80	31	are	be	AUX
cana-619	80	32	isoleucine	isoleucine	NOUN
cana-619	80	33	and	and	CCONJ
cana-619	80	34	leucine	leucine	NOUN
cana-619	80	35	.	.	PUNCT
cana-619	81	1	g4	g4	NOUN
cana-619	81	2	=	=	SYM
cana-619	81	3	{	{	PUNCT
cana-619	81	4	auu	auu	PROPN
cana-619	81	5	,	,	PUNCT
cana-619	81	6	auc	auc	NOUN
cana-619	81	7	,	,	PUNCT
cana-619	81	8	cuu	cuu	PROPN
cana-619	81	9	,	,	PUNCT
cana-619	81	10	cuc	cuc	PROPN
cana-619	81	11	,	,	PUNCT
cana-619	81	12	guc	guc	PROPN
cana-619	81	13	,	,	PUNCT
cana-619	81	14	guu	guu	PROPN
cana-619	81	15	,	,	PUNCT
cana-619	81	16	uuu	uuu	PROPN
cana-619	81	17	,	,	PUNCT
cana-619	81	18	uuc	uuc	PROPN
cana-619	81	19	}	}	PUNCT
cana-619	81	20	•	•	NUM
cana-619	81	21	the	the	DET
cana-619	81	22	amino	amino	NOUN
cana-619	81	23	acids	acid	NOUN
cana-619	81	24	of	of	ADP
cana-619	81	25	eight	eight	NUM
cana-619	81	26	set	set	NOUN
cana-619	81	27	of	of	ADP
cana-619	81	28	codons	codon	NOUN
cana-619	81	29	of	of	ADP
cana-619	81	30	g5	g5	NOUN
cana-619	81	31	are	be	AUX
cana-619	81	32	lysine	lysine	NOUN
cana-619	81	33	and	and	CCONJ
cana-619	81	34	glutamine	glutamine	NOUN
cana-619	81	35	.	.	PUNCT
cana-619	82	1	g5	g5	NOUN
cana-619	82	2	=	=	PUNCT
cana-619	82	3	{	{	PUNCT
cana-619	82	4	aag	aag	PROPN
cana-619	82	5	,	,	PUNCT
cana-619	82	6	aaa	aaa	NOUN
cana-619	82	7	,	,	PUNCT
cana-619	82	8	cag	cag	PROPN
cana-619	82	9	,	,	PUNCT
cana-619	82	10	caa	caa	NOUN
cana-619	82	11	,	,	PUNCT
cana-619	82	12	gag	gag	NOUN
cana-619	82	13	,	,	PUNCT
cana-619	82	14	gaa	gaa	PROPN
cana-619	82	15	,	,	PUNCT
cana-619	82	16	uag	uag	PROPN
cana-619	82	17	,	,	PUNCT
cana-619	82	18	uaa	uaa	PROPN
cana-619	82	19	}	}	PUNCT
cana-619	82	20	•	•	NOUN
cana-619	82	21	the	the	DET
cana-619	82	22	amino	amino	NOUN
cana-619	82	23	acids	acid	NOUN
cana-619	82	24	of	of	ADP
cana-619	82	25	eight	eight	NUM
cana-619	82	26	set	set	NOUN
cana-619	82	27	of	of	ADP
cana-619	82	28	codons	codon	NOUN
cana-619	82	29	of	of	ADP
cana-619	82	30	g6	g6	PROPN
cana-619	82	31	are	be	AUX
cana-619	82	32	threonine	threonine	ADJ
cana-619	82	33	and	and	CCONJ
cana-619	82	34	alanine	alanine	NOUN
cana-619	82	35	.	.	PUNCT
cana-619	83	1	g6	g6	ADJ
cana-619	83	2	=	=	SYM
cana-619	83	3	{	{	PUNCT
cana-619	83	4	acg	acg	PROPN
cana-619	83	5	,	,	PUNCT
cana-619	83	6	aca	aca	PROPN
cana-619	83	7	,	,	PUNCT
cana-619	83	8	ccg	ccg	PROPN
cana-619	83	9	,	,	PUNCT
cana-619	83	10	cca	cca	PROPN
cana-619	83	11	,	,	PUNCT
cana-619	83	12	gcg	gcg	PROPN
cana-619	83	13	,	,	PUNCT
cana-619	83	14	gca	gca	PROPN
cana-619	83	15	,	,	PUNCT
cana-619	83	16	ucg	ucg	PROPN
cana-619	83	17	,	,	PUNCT
cana-619	83	18	uca	uca	ADJ
cana-619	83	19	}	}	PUNCT
cana-619	83	20	•	•	NOUN
cana-619	83	21	the	the	DET
cana-619	83	22	amino	amino	NOUN
cana-619	83	23	acids	acid	NOUN
cana-619	83	24	of	of	ADP
cana-619	83	25	eight	eight	NUM
cana-619	83	26	set	set	NOUN
cana-619	83	27	of	of	ADP
cana-619	83	28	codons	codon	NOUN
cana-619	83	29	of	of	ADP
cana-619	83	30	g7	g7	PROPN
cana-619	83	31	are	be	AUX
cana-619	83	32	arginine	arginine	NOUN
cana-619	83	33	and	and	CCONJ
cana-619	83	34	glycine	glycine	NOUN
cana-619	83	35	.	.	PUNCT
cana-619	84	1	g7	g7	PROPN
cana-619	84	2	=	=	SYM
cana-619	84	3	{	{	PUNCT
cana-619	84	4	agg	agg	PROPN
cana-619	84	5	,	,	PUNCT
cana-619	84	6	aga	aga	PROPN
cana-619	84	7	,	,	PUNCT
cana-619	84	8	cgg	cgg	PROPN
cana-619	84	9	,	,	PUNCT
cana-619	84	10	cga	cga	PROPN
cana-619	84	11	,	,	PUNCT
cana-619	84	12	ggg	ggg	NOUN
cana-619	84	13	,	,	PUNCT
cana-619	84	14	gga	gga	PROPN
cana-619	84	15	,	,	PUNCT
cana-619	84	16	ugg	ugg	PROPN
cana-619	84	17	,	,	PUNCT
cana-619	84	18	uga	uga	NOUN
cana-619	84	19	}	}	PUNCT
cana-619	84	20	•	•	NOUN
cana-619	84	21	the	the	DET
cana-619	84	22	amino	amino	NOUN
cana-619	84	23	acids	acid	NOUN
cana-619	84	24	of	of	ADP
cana-619	84	25	eight	eight	NUM
cana-619	84	26	set	set	NOUN
cana-619	84	27	of	of	ADP
cana-619	84	28	codons	codon	NOUN
cana-619	84	29	of	of	ADP
cana-619	84	30	g8	g8	PROPN
cana-619	84	31	are	be	AUX
cana-619	84	32	isoleucine	isoleucine	NOUN
cana-619	84	33	and	and	CCONJ
cana-619	84	34	methionine	methionine	NOUN
cana-619	84	35	.	.	PUNCT
cana-619	85	1	g8	g8	PROPN
cana-619	85	2	=	=	SYM
cana-619	85	3	{	{	PUNCT
cana-619	85	4	aug	aug	PROPN
cana-619	85	5	,	,	PUNCT
cana-619	85	6	aua	aua	PROPN
cana-619	85	7	,	,	PUNCT
cana-619	85	8	cug	cug	PROPN
cana-619	85	9	,	,	PUNCT
cana-619	85	10	cua	cua	VERB
cana-619	85	11	,	,	PUNCT
cana-619	85	12	gug	gug	PROPN
cana-619	85	13	,	,	PUNCT
cana-619	85	14	gua	gua	PROPN
cana-619	85	15	,	,	PUNCT
cana-619	85	16	uug	uug	PROPN
cana-619	85	17	,	,	PUNCT
cana-619	85	18	uua	uua	NOUN
cana-619	85	19	}	}	PUNCT
cana-619	85	20	addition	addition	NOUN
cana-619	85	21	modulo	modulo	NOUN
cana-619	85	22	is	be	AUX
cana-619	85	23	defined	define	VERB
cana-619	85	24	in	in	ADP
cana-619	85	25	the	the	DET
cana-619	85	26	set	set	NOUN
cana-619	85	27	of	of	ADP
cana-619	85	28	four	four	NUM
cana-619	85	29	bases	basis	NOUN
cana-619	85	30	of	of	ADP
cana-619	85	31	the	the	DET
cana-619	85	32	mrna	mrna	NOUN
cana-619	85	33	such	such	ADJ
cana-619	85	34	as	as	ADP
cana-619	85	35	(	(	PUNCT
cana-619	85	36	x	x	SYM
cana-619	85	37	+	+	NUM
cana-619	85	38	y	y	NOUN
cana-619	85	39	)	)	PUNCT
cana-619	85	40	mod	mod	NOUN
cana-619	86	1	4	4	NUM
cana-619	86	2	=	=	SYM
cana-619	86	3	z.	z.	PROPN
cana-619	86	4	therefore	therefore	ADV
cana-619	86	5	,	,	PUNCT
cana-619	86	6	addition	addition	NOUN
cana-619	86	7	table	table	NOUN
cana-619	86	8	is	be	AUX
cana-619	86	9	as	as	SCONJ
cana-619	86	10	follows	follow	VERB
cana-619	86	11	:	:	PUNCT
cana-619	86	12	+	+	CCONJ
cana-619	86	13	a	a	DET
cana-619	86	14	c	c	NOUN
cana-619	86	15	g	g	NOUN
cana-619	86	16	u	u	PROPN
cana-619	86	17	a	a	PRON
cana-619	86	18	a	a	DET
cana-619	86	19	c	c	NOUN
cana-619	86	20	g	g	NOUN
cana-619	86	21	u	u	NOUN
cana-619	87	1	c	c	NOUN
cana-619	87	2	c	c	NOUN
cana-619	87	3	g	g	NOUN
cana-619	87	4	u	u	PROPN
cana-619	87	5	a	a	DET
cana-619	87	6	g	g	NOUN
cana-619	87	7	g	g	PROPN
cana-619	87	8	u	u	PROPN
cana-619	87	9	a	a	DET
cana-619	87	10	c	c	NOUN
cana-619	87	11	u	u	NOUN
cana-619	87	12	u	u	NOUN
cana-619	87	13	a	a	DET
cana-619	87	14	c	c	NOUN
cana-619	87	15	g	g	PROPN
cana-619	87	16	table	table	NOUN
cana-619	87	17	3.1	3.1	NUM
cana-619	87	18	theorem	theorem	NOUN
cana-619	87	19	3.2	3.2	NUM
cana-619	87	20	.	.	PUNCT
cana-619	88	1	if	if	SCONJ
cana-619	88	2	two	two	NUM
cana-619	88	3	odd	odd	ADJ
cana-619	88	4	mrna	mrna	PROPN
cana-619	88	5	codons	codon	NOUN
cana-619	88	6	are	be	AUX
cana-619	88	7	added	add	VERB
cana-619	88	8	together	together	ADV
cana-619	88	9	,	,	PUNCT
cana-619	88	10	then	then	ADV
cana-619	88	11	their	their	PRON
cana-619	88	12	sum	sum	NOUN
cana-619	88	13	results	result	VERB
cana-619	88	14	in	in	ADP
cana-619	88	15	an	an	DET
cana-619	88	16	even	even	ADV
cana-619	88	17	codon	codon	NOUN
cana-619	88	18	.	.	PUNCT
cana-619	89	1	proof	proof	NOUN
cana-619	89	2	.	.	PUNCT
cana-619	90	1	it	it	PRON
cana-619	90	2	can	can	AUX
cana-619	90	3	be	be	AUX
cana-619	90	4	readily	readily	ADV
cana-619	90	5	through	through	ADP
cana-619	90	6	the	the	DET
cana-619	90	7	following	following	NOUN
cana-619	90	8	;	;	PUNCT
cana-619	90	9	we	we	PRON
cana-619	90	10	define	define	VERB
cana-619	90	11	a	a	DET
cana-619	90	12	function	function	NOUN
cana-619	90	13	ϕ	ϕ	NOUN
cana-619	90	14	:	:	PUNCT
cana-619	90	15	gα	gα	ADP
cana-619	90	16	→	→	PUNCT
cana-619	90	17	gβ	gβ	ADP
cana-619	90	18	such	such	ADJ
cana-619	90	19	that	that	PRON
cana-619	90	20	,	,	PUNCT
cana-619	90	21	∅(xyz)=	∅(xyz)=	PRON
cana-619	90	22	{	{	PUNCT
cana-619	91	1	xya	xya	INTJ
cana-619	91	2	,	,	PUNCT
cana-619	91	3	if	if	SCONJ
cana-619	91	4	z	z	NOUN
cana-619	91	5	=	=	SYM
cana-619	91	6	c	c	PROPN
cana-619	91	7	xyg	xyg	PROPN
cana-619	91	8	,	,	PUNCT
cana-619	91	9	if	if	SCONJ
cana-619	91	10	z	z	NOUN
cana-619	91	11	=	=	SYM
cana-619	91	12	u	u	SYM
cana-619	91	13	∀	∀	X
cana-619	91	14	xyz	xyz	NOUN
cana-619	91	15	∈gα	∈gα	PROPN
cana-619	91	16	communications	communication	NOUN
cana-619	91	17	on	on	ADP
cana-619	91	18	applied	apply	VERB
cana-619	91	19	nonlinear	nonlinear	ADJ
cana-619	91	20	analysis	analysis	NOUN
cana-619	91	21	issn	issn	NOUN
cana-619	91	22	:	:	PUNCT
cana-619	91	23	1074	1074	NUM
cana-619	91	24	-	-	PUNCT
cana-619	91	25	133x	133x	NUM
cana-619	91	26	vol	vol	NOUN
cana-619	91	27	31	31	NUM
cana-619	91	28	no	no	NOUN
cana-619	91	29	.	.	PUNCT
cana-619	92	1	2s	2s	NUM
cana-619	92	2	(	(	PUNCT
cana-619	92	3	2024	2024	NUM
cana-619	92	4	)	)	PUNCT
cana-619	92	5	178	178	NUM
cana-619	92	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-619	92	7	example	example	NOUN
cana-619	92	8	:	:	PUNCT
cana-619	92	9	assume	assume	VERB
cana-619	92	10	an	an	DET
cana-619	92	11	odd	odd	ADJ
cana-619	92	12	codon	codon	ADJ
cana-619	92	13	aac	aac	NOUN
cana-619	92	14	which	which	PRON
cana-619	92	15	is	be	AUX
cana-619	92	16	an	an	DET
cana-619	92	17	element	element	NOUN
cana-619	92	18	of	of	ADP
cana-619	92	19	gα	gα	NOUN
cana-619	92	20	,	,	PUNCT
cana-619	92	21	∅(aac	∅(aac	ADJ
cana-619	92	22	)	)	PUNCT
cana-619	92	23	=	=	PUNCT
cana-619	92	24	aac	aac	NOUN
cana-619	92	25	+	+	PROPN
cana-619	92	26	ccc	ccc	NOUN
cana-619	92	27	=	=	SYM
cana-619	92	28	ccg	ccg	PROPN
cana-619	92	29	.	.	PUNCT
cana-619	93	1	then	then	ADV
cana-619	93	2	the	the	DET
cana-619	93	3	even	even	ADJ
cana-619	93	4	nucleotide	nucleotide	NOUN
cana-619	93	5	ccg	ccg	PROPN
cana-619	93	6	is	be	AUX
cana-619	93	7	an	an	DET
cana-619	93	8	element	element	NOUN
cana-619	93	9	of	of	ADP
cana-619	93	10	gβ	gβ	PROPN
cana-619	93	11	.	.	PUNCT
cana-619	94	1	theorem	theorem	VERB
cana-619	94	2	3.3	3.3	NUM
cana-619	94	3	.	.	PUNCT
cana-619	95	1	if	if	SCONJ
cana-619	95	2	two	two	NUM
cana-619	95	3	odd	odd	ADJ
cana-619	95	4	mrna	mrna	PROPN
cana-619	95	5	codons	codon	NOUN
cana-619	95	6	are	be	AUX
cana-619	95	7	added	add	VERB
cana-619	95	8	together	together	ADV
cana-619	95	9	,	,	PUNCT
cana-619	95	10	then	then	ADV
cana-619	95	11	their	their	PRON
cana-619	95	12	sum	sum	NOUN
cana-619	95	13	results	result	VERB
cana-619	95	14	in	in	ADP
cana-619	95	15	an	an	DET
cana-619	95	16	odd	odd	ADJ
cana-619	95	17	codon	codon	NOUN
cana-619	95	18	.	.	PUNCT
cana-619	96	1	proof	proof	NOUN
cana-619	96	2	.	.	PUNCT
cana-619	97	1	it	it	PRON
cana-619	97	2	becomes	become	VERB
cana-619	97	3	clear	clear	ADJ
cana-619	97	4	when	when	SCONJ
cana-619	97	5	considering	consider	VERB
cana-619	97	6	the	the	DET
cana-619	97	7	following	following	NOUN
cana-619	97	8	:	:	PUNCT
cana-619	97	9	we	we	PRON
cana-619	97	10	defined	define	VERB
cana-619	97	11	a	a	DET
cana-619	97	12	function	function	NOUN
cana-619	97	13	∅β	∅β	NOUN
cana-619	97	14	=	=	PUNCT
cana-619	98	1	gβ	gβ	NOUN
cana-619	98	2	→	→	PUNCT
cana-619	98	3	gα	gα	ADP
cana-619	98	4	such	such	ADJ
cana-619	98	5	that	that	PRON
cana-619	98	6	,	,	PUNCT
cana-619	98	7	∅(xyz)=	∅(xyz)=	ADP
cana-619	98	8	{	{	PUNCT
cana-619	98	9	xyc	xyc	NOUN
cana-619	98	10	,	,	PUNCT
cana-619	98	11	if	if	SCONJ
cana-619	98	12	z	z	NOUN
cana-619	98	13	=	=	PUNCT
cana-619	98	14	a	a	DET
cana-619	98	15	xyu	xyu	PROPN
cana-619	98	16	,	,	PUNCT
cana-619	98	17	if	if	SCONJ
cana-619	98	18	z	z	NOUN
cana-619	98	19	=	=	SYM
cana-619	98	20	g	g	PROPN
cana-619	98	21	∀	∀	NOUN
cana-619	98	22	xyz	xyz	NOUN
cana-619	98	23	∈gβ	∈gβ	PROPN
cana-619	98	24	example	example	NOUN
cana-619	98	25	:	:	PUNCT
cana-619	98	26	assume	assume	VERB
cana-619	98	27	even	even	ADV
cana-619	98	28	codon	codon	NOUN
cana-619	98	29	ccg	ccg	NOUN
cana-619	98	30	which	which	PRON
cana-619	98	31	is	be	AUX
cana-619	98	32	an	an	DET
cana-619	98	33	element	element	NOUN
cana-619	98	34	of	of	ADP
cana-619	98	35	gβ	gβ	PROPN
cana-619	98	36	,	,	PUNCT
cana-619	98	37	ϕ(ccg	ϕ(ccg	PROPN
cana-619	98	38	)	)	PUNCT
cana-619	99	1	=	=	SYM
cana-619	99	2	ccg	ccg	NOUN
cana-619	99	3	+	+	CCONJ
cana-619	99	4	ggg	ggg	NOUN
cana-619	99	5	=	=	SYM
cana-619	99	6	uuu	uuu	PROPN
cana-619	99	7	.	.	PUNCT
cana-619	100	1	then	then	ADV
cana-619	100	2	the	the	DET
cana-619	100	3	odd	odd	ADJ
cana-619	100	4	nucleotide	nucleotide	NOUN
cana-619	100	5	uuu	uuu	PROPN
cana-619	100	6	is	be	AUX
cana-619	100	7	an	an	DET
cana-619	100	8	element	element	NOUN
cana-619	100	9	of	of	ADP
cana-619	100	10	gα	gα	NOUN
cana-619	100	11	.	.	PUNCT
cana-619	101	1	the	the	DET
cana-619	101	2	genome	genome	NOUN
cana-619	101	3	chart	chart	NOUN
cana-619	101	4	reveals	reveal	VERB
cana-619	101	5	the	the	DET
cana-619	101	6	order	order	NOUN
cana-619	101	7	prompted	prompt	VERB
cana-619	101	8	{	{	PUNCT
cana-619	101	9	a	a	PRON
cana-619	101	10	,	,	PUNCT
cana-619	101	11	g	g	PROPN
cana-619	101	12	,	,	PUNCT
cana-619	101	13	c	c	X
cana-619	101	14	,	,	PUNCT
cana-619	101	15	u	u	NOUN
cana-619	101	16	}	}	PUNCT
cana-619	101	17	{	{	PUNCT
cana-619	101	18	z64	z64	NOUN
cana-619	101	19	}	}	PUNCT
cana-619	101	20	binary	binary	ADJ
cana-619	101	21	number	number	NOUN
cana-619	101	22	codon	codon	NOUN
cana-619	101	23	amino	amino	NOUN
cana-619	101	24	acid	acid	NOUN
cana-619	101	25	z64	z64	NOUN
cana-619	101	26	binary	binary	ADJ
cana-619	101	27	number	number	NOUN
cana-619	101	28	codon	codon	NOUN
cana-619	101	29	amino	amino	NOUN
cana-619	101	30	acid	acid	NOUN
cana-619	101	31	0	0	NUM
cana-619	101	32	0	0	NUM
cana-619	101	33	aaa	aaa	NOUN
cana-619	102	1	k	k	NOUN
cana-619	102	2	33	33	NUM
cana-619	102	3	100001	100001	NUM
cana-619	102	4	agc	agc	PROPN
cana-619	102	5	s	s	PART
cana-619	102	6	1	1	NUM
cana-619	102	7	1	1	NUM
cana-619	102	8	aac	aac	NOUN
cana-619	102	9	n	n	ADP
cana-619	102	10	34	34	NUM
cana-619	102	11	100010	100010	NUM
cana-619	102	12	agg	agg	PROPN
cana-619	103	1	r	r	NOUN
cana-619	103	2	2	2	NUM
cana-619	103	3	10	10	NUM
cana-619	103	4	aag	aag	PROPN
cana-619	103	5	k	k	PROPN
cana-619	103	6	35	35	NUM
cana-619	103	7	100011	100011	NUM
cana-619	103	8	agu	agu	NOUN
cana-619	103	9	s	s	PART
cana-619	103	10	3	3	NUM
cana-619	103	11	11	11	NUM
cana-619	103	12	aau	aau	PROPN
cana-619	103	13	n	n	ADP
cana-619	103	14	36	36	NUM
cana-619	103	15	100100	100100	NUM
cana-619	103	16	cga	cga	PROPN
cana-619	103	17	r	r	NOUN
cana-619	103	18	4	4	NUM
cana-619	103	19	100	100	NUM
cana-619	103	20	caa	caa	NOUN
cana-619	103	21	q	q	PROPN
cana-619	103	22	37	37	NUM
cana-619	103	23	100101	100101	NUM
cana-619	103	24	cgc	cgc	PROPN
cana-619	103	25	r	r	NOUN
cana-619	103	26	5	5	NUM
cana-619	103	27	101	101	NUM
cana-619	103	28	cac	cac	PROPN
cana-619	103	29	h	h	NOUN
cana-619	103	30	38	38	NUM
cana-619	103	31	100110	100110	NUM
cana-619	103	32	cgg	cgg	NOUN
cana-619	103	33	r	r	NOUN
cana-619	103	34	6	6	NUM
cana-619	103	35	110	110	NUM
cana-619	103	36	cag	cag	PROPN
cana-619	103	37	q	q	PROPN
cana-619	103	38	39	39	NUM
cana-619	103	39	100111	100111	NUM
cana-619	103	40	cgu	cgu	NOUN
cana-619	103	41	r	r	NOUN
cana-619	103	42	7	7	NUM
cana-619	103	43	111	111	NUM
cana-619	103	44	cau	cau	NOUN
cana-619	103	45	h	h	NOUN
cana-619	103	46	40	40	NUM
cana-619	103	47	101000	101000	NUM
cana-619	103	48	gga	gga	NOUN
cana-619	103	49	g	g	PROPN
cana-619	103	50	8	8	NUM
cana-619	103	51	1000	1000	NUM
cana-619	103	52	gaa	gaa	NOUN
cana-619	103	53	e	e	NOUN
cana-619	103	54	41	41	NUM
cana-619	103	55	101001	101001	NUM
cana-619	103	56	ggc	ggc	NOUN
cana-619	103	57	g	g	PROPN
cana-619	103	58	9	9	NUM
cana-619	103	59	1001	1001	NUM
cana-619	103	60	gac	gac	NOUN
cana-619	103	61	d	d	ADP
cana-619	103	62	42	42	NUM
cana-619	103	63	101010	101010	NUM
cana-619	103	64	ggg	ggg	NOUN
cana-619	103	65	g	g	PROPN
cana-619	103	66	10	10	NUM
cana-619	103	67	1010	1010	NUM
cana-619	103	68	gag	gag	NOUN
cana-619	103	69	e	e	PROPN
cana-619	103	70	43	43	NUM
cana-619	103	71	101011	101011	NUM
cana-619	103	72	ggu	ggu	NOUN
cana-619	103	73	g	g	ADP
cana-619	103	74	11	11	NUM
cana-619	103	75	1011	1011	NUM
cana-619	103	76	gau	gau	NOUN
cana-619	103	77	d	d	PROPN
cana-619	103	78	44	44	NUM
cana-619	103	79	101100	101100	NUM
cana-619	103	80	uga	uga	NOUN
cana-619	103	81	—	—	PUNCT
cana-619	103	82	12	12	NUM
cana-619	103	83	1100	1100	NUM
cana-619	103	84	uaa	uaa	NOUN
cana-619	103	85	—	—	PUNCT
cana-619	103	86	45	45	NUM
cana-619	103	87	101101	101101	NUM
cana-619	103	88	ugc	ugc	PROPN
cana-619	103	89	c	c	NOUN
cana-619	103	90	13	13	NUM
cana-619	103	91	1101	1101	NUM
cana-619	103	92	uac	uac	NOUN
cana-619	103	93	y	y	PROPN
cana-619	103	94	46	46	NUM
cana-619	103	95	101110	101110	NUM
cana-619	103	96	ugg	ugg	PROPN
cana-619	103	97	w	w	PROPN
cana-619	103	98	14	14	NUM
cana-619	103	99	1110	1110	NUM
cana-619	103	100	uag	uag	PROPN
cana-619	103	101	—	—	PUNCT
cana-619	103	102	47	47	NUM
cana-619	103	103	101111	101111	NUM
cana-619	103	104	ugu	ugu	NOUN
cana-619	103	105	c	c	PROPN
cana-619	103	106	15	15	NUM
cana-619	103	107	1111	1111	NUM
cana-619	103	108	uau	uau	NOUN
cana-619	103	109	y	y	PROPN
cana-619	103	110	48	48	NUM
cana-619	103	111	110000	110000	NUM
cana-619	103	112	aua	aua	PROPN
cana-619	104	1	i	i	PRON
cana-619	104	2	16	16	NUM
cana-619	104	3	10000	10000	NUM
cana-619	105	1	aca	aca	NOUN
cana-619	105	2	t	t	PROPN
cana-619	105	3	49	49	NUM
cana-619	105	4	110001	110001	NUM
cana-619	105	5	auc	auc	NOUN
cana-619	106	1	i	i	PRON
cana-619	106	2	17	17	NUM
cana-619	106	3	10001	10001	NUM
cana-619	106	4	acc	acc	PROPN
cana-619	106	5	t	t	PROPN
cana-619	106	6	50	50	NUM
cana-619	106	7	110001	110001	NUM
cana-619	106	8	aug	aug	PROPN
cana-619	106	9	m	m	PROPN
cana-619	106	10	18	18	NUM
cana-619	106	11	10010	10010	NUM
cana-619	106	12	acg	acg	PROPN
cana-619	106	13	t	t	PROPN
cana-619	106	14	51	51	NUM
cana-619	106	15	110010	110010	NUM
cana-619	106	16	auu	auu	PROPN
cana-619	107	1	i	i	PRON
cana-619	107	2	19	19	NUM
cana-619	107	3	10011	10011	NUM
cana-619	107	4	acu	acu	NOUN
cana-619	107	5	t	t	PROPN
cana-619	107	6	52	52	NUM
cana-619	107	7	110011	110011	NUM
cana-619	107	8	cua	cua	VERB
cana-619	107	9	l	l	PROPN
cana-619	107	10	20	20	NUM
cana-619	107	11	10100	10100	NUM
cana-619	107	12	cca	cca	NOUN
cana-619	107	13	p	p	X
cana-619	107	14	53	53	NUM
cana-619	107	15	110100	110100	NUM
cana-619	107	16	cuc	cuc	PROPN
cana-619	107	17	l	l	NOUN
cana-619	107	18	21	21	NUM
cana-619	107	19	10101	10101	NUM
cana-619	107	20	ccc	ccc	PROPN
cana-619	108	1	p	p	VERB
cana-619	108	2	54	54	NUM
cana-619	108	3	110101	110101	NUM
cana-619	108	4	cug	cug	NOUN
cana-619	108	5	l	l	NOUN
cana-619	108	6	22	22	NUM
cana-619	108	7	10110	10110	NUM
cana-619	108	8	ccg	ccg	NOUN
cana-619	108	9	p	p	PROPN
cana-619	108	10	55	55	NUM
cana-619	108	11	110110	110110	NUM
cana-619	108	12	cuu	cuu	NOUN
cana-619	108	13	l	l	NOUN
cana-619	108	14	23	23	NUM
cana-619	108	15	10111	10111	NUM
cana-619	108	16	ccu	ccu	PROPN
cana-619	108	17	p	p	PROPN
cana-619	108	18	56	56	NUM
cana-619	108	19	110111	110111	NUM
cana-619	108	20	gua	gua	NOUN
cana-619	108	21	v	v	ADP
cana-619	108	22	24	24	NUM
cana-619	108	23	11000	11000	NUM
cana-619	108	24	gca	gca	NOUN
cana-619	108	25	a	a	DET
cana-619	108	26	57	57	NUM
cana-619	108	27	111000	111000	NUM
cana-619	108	28	guc	guc	NOUN
cana-619	108	29	v	v	ADP
cana-619	108	30	25	25	NUM
cana-619	108	31	11001	11001	NUM
cana-619	108	32	gcc	gcc	NOUN
cana-619	108	33	a	a	DET
cana-619	108	34	58	58	NUM
cana-619	108	35	111001	111001	NUM
cana-619	108	36	gug	gug	PROPN
cana-619	108	37	v	v	ADP
cana-619	108	38	communications	communication	NOUN
cana-619	108	39	on	on	ADP
cana-619	108	40	applied	apply	VERB
cana-619	108	41	nonlinear	nonlinear	ADJ
cana-619	108	42	analysis	analysis	NOUN
cana-619	108	43	issn	issn	NOUN
cana-619	108	44	:	:	PUNCT
cana-619	108	45	1074	1074	NUM
cana-619	108	46	-	-	PUNCT
cana-619	108	47	133x	133x	NUM
cana-619	108	48	vol	vol	NOUN
cana-619	108	49	31	31	NUM
cana-619	108	50	no	no	NOUN
cana-619	108	51	.	.	PUNCT
cana-619	109	1	2s	2s	NUM
cana-619	109	2	(	(	PUNCT
cana-619	109	3	2024	2024	NUM
cana-619	109	4	)	)	PUNCT
cana-619	109	5	179	179	NUM
cana-619	109	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-619	109	7	26	26	NUM
cana-619	109	8	11010	11010	NUM
cana-619	109	9	gcg	gcg	NOUN
cana-619	109	10	a	a	DET
cana-619	109	11	59	59	NUM
cana-619	109	12	111010	111010	NUM
cana-619	109	13	guu	guu	PROPN
cana-619	109	14	v	v	ADP
cana-619	109	15	27	27	NUM
cana-619	109	16	11011	11011	NUM
cana-619	109	17	gcu	gcu	NOUN
cana-619	109	18	a	a	DET
cana-619	109	19	60	60	NUM
cana-619	109	20	111011	111011	NUM
cana-619	109	21	uaa	uaa	NOUN
cana-619	109	22	l	l	NOUN
cana-619	109	23	28	28	NUM
cana-619	109	24	11100	11100	NUM
cana-619	109	25	uca	uca	PROPN
cana-619	109	26	s	s	PROPN
cana-619	109	27	61	61	NUM
cana-619	109	28	111100	111100	NUM
cana-619	109	29	uuc	uuc	PROPN
cana-619	109	30	f	f	PROPN
cana-619	109	31	29	29	NUM
cana-619	109	32	11101	11101	NUM
cana-619	109	33	ucc	ucc	PROPN
cana-619	109	34	s	s	PART
cana-619	109	35	62	62	NUM
cana-619	109	36	111101	111101	NUM
cana-619	109	37	uug	uug	NOUN
cana-619	109	38	l	l	NOUN
cana-619	109	39	30	30	NUM
cana-619	109	40	11110	11110	NUM
cana-619	109	41	ucg	ucg	PROPN
cana-619	109	42	s	s	PART
cana-619	109	43	63	63	NUM
cana-619	109	44	111111	111111	NUM
cana-619	109	45	uuu	uuu	NOUN
cana-619	109	46	f	f	PROPN
cana-619	109	47	31	31	NUM
cana-619	109	48	11111	11111	NUM
cana-619	109	49	ucu	ucu	PROPN
cana-619	109	50	s	s	PART
cana-619	109	51	32	32	NUM
cana-619	109	52	100000	100000	NUM
cana-619	109	53	aga	aga	NOUN
cana-619	109	54	r	r	NOUN
cana-619	109	55	table	table	NOUN
cana-619	109	56	3.2	3.2	NUM
cana-619	109	57	:	:	PUNCT
cana-619	109	58	dna	dna	PROPN
cana-619	109	59	codons	codon	NOUN
cana-619	109	60	for	for	ADP
cana-619	109	61	amino	amino	NOUN
cana-619	109	62	acid	acid	NOUN
cana-619	109	63	4	4	NUM
cana-619	109	64	.	.	NOUN
cana-619	109	65	odd	odd	ADJ
cana-619	109	66	and	and	CCONJ
cana-619	109	67	even	even	ADV
cana-619	109	68	parity	parity	NOUN
cana-619	109	69	generator	generator	NOUN
cana-619	109	70	and	and	CCONJ
cana-619	109	71	parity	parity	NOUN
cana-619	109	72	checker	checker	NOUN
cana-619	109	73	in	in	ADP
cana-619	109	74	mrna	mrna	PROPN
cana-619	109	75	codes	code	NOUN
cana-619	109	76	in	in	ADP
cana-619	109	77	this	this	DET
cana-619	109	78	section	section	NOUN
cana-619	109	79	,	,	PUNCT
cana-619	109	80	during	during	ADP
cana-619	109	81	the	the	DET
cana-619	109	82	transmission	transmission	NOUN
cana-619	109	83	and	and	CCONJ
cana-619	109	84	processing	processing	NOUN
cana-619	109	85	of	of	ADP
cana-619	109	86	binary	binary	ADJ
cana-619	109	87	data	datum	NOUN
cana-619	109	88	by	by	ADP
cana-619	109	89	digital	digital	ADJ
cana-619	109	90	systems	system	NOUN
cana-619	109	91	,	,	PUNCT
cana-619	109	92	the	the	DET
cana-619	109	93	introduction	introduction	NOUN
cana-619	109	94	of	of	ADP
cana-619	109	95	noise	noise	NOUN
cana-619	109	96	can	can	AUX
cana-619	109	97	lead	lead	VERB
cana-619	109	98	to	to	ADP
cana-619	109	99	alterations	alteration	NOUN
cana-619	109	100	,	,	PUNCT
cana-619	109	101	flipping	flip	VERB
cana-619	109	102	zero	zero	NUM
cana-619	109	103	values	value	NOUN
cana-619	109	104	towards	towards	ADP
cana-619	109	105	ones	one	NOUN
cana-619	109	106	.	.	PUNCT
cana-619	110	1	this	this	DET
cana-619	110	2	computation	computation	NOUN
cana-619	110	3	is	be	AUX
cana-619	110	4	feasible	feasible	ADJ
cana-619	110	5	,	,	PUNCT
cana-619	110	6	and	and	CCONJ
cana-619	110	7	among	among	ADP
cana-619	110	8	the	the	DET
cana-619	110	9	least	least	ADJ
cana-619	110	10	prevalent	prevalent	ADJ
cana-619	110	11	approaches	approach	NOUN
cana-619	110	12	to	to	ADP
cana-619	110	13	communicating	communicate	VERB
cana-619	110	14	information	information	NOUN
cana-619	110	15	to	to	PART
cana-619	110	16	fix	fix	VERB
cana-619	110	17	errors	error	NOUN
cana-619	110	18	is	be	AUX
cana-619	110	19	the	the	DET
cana-619	110	20	parity	parity	NOUN
cana-619	110	21	generating	generating	NOUN
cana-619	110	22	technique	technique	NOUN
cana-619	110	23	using	use	VERB
cana-619	110	24	p⊕	p⊕	NOUN
cana-619	110	25	q	q	PROPN
cana-619	110	26	⊕	⊕	PROPN
cana-619	110	27	r	r	PROPN
cana-619	110	28	⊕	⊕	PROPN
cana-619	110	29	…	…	PUNCT
cana-619	110	30	……	……	NOUN
cana-619	110	31	.	.	PUNCT
cana-619	111	1	⊕	⊕	PROPN
cana-619	111	2	n	n	PROPN
cana-619	111	3	⊕	⊕	PROPN
cana-619	111	4	p.	p.	NOUN
cana-619	111	5	{	{	PUNCT
cana-619	111	6	z64	z64	NOUN
cana-619	111	7	}	}	PUNCT
cana-619	111	8	binary	binary	ADJ
cana-619	111	9	number	number	NOUN
cana-619	111	10	0dd	0dd	NOUN
cana-619	111	11	parity	parity	NOUN
cana-619	111	12	even	even	ADV
cana-619	111	13	parity	parity	VERB
cana-619	111	14	z64	z64	NOUN
cana-619	111	15	binary	binary	ADJ
cana-619	111	16	number	number	NOUN
cana-619	111	17	odd	odd	ADJ
cana-619	111	18	parity	parity	NOUN
cana-619	111	19	even	even	ADV
cana-619	111	20	parity	parity	NOUN
cana-619	111	21	0	0	NUM
cana-619	111	22	0	0	NUM
cana-619	111	23	1	1	NUM
cana-619	111	24	0	0	NUM
cana-619	111	25	33	33	NUM
cana-619	111	26	100001	100001	NUM
cana-619	111	27	1	1	NUM
cana-619	111	28	0	0	NUM
cana-619	111	29	1	1	NUM
cana-619	111	30	1	1	NUM
cana-619	111	31	0	0	NUM
cana-619	111	32	1	1	NUM
cana-619	111	33	34	34	NUM
cana-619	111	34	100010	100010	NUM
cana-619	111	35	1	1	NUM
cana-619	111	36	0	0	NUM
cana-619	111	37	2	2	NUM
cana-619	111	38	10	10	NUM
cana-619	111	39	0	0	NUM
cana-619	111	40	1	1	NUM
cana-619	111	41	35	35	NUM
cana-619	111	42	100011	100011	NUM
cana-619	111	43	0	0	NUM
cana-619	111	44	1	1	NUM
cana-619	111	45	3	3	NUM
cana-619	111	46	11	11	NUM
cana-619	111	47	1	1	NUM
cana-619	111	48	0	0	NUM
cana-619	111	49	36	36	NUM
cana-619	111	50	100100	100100	NUM
cana-619	111	51	1	1	NUM
cana-619	111	52	0	0	NUM
cana-619	111	53	4	4	NUM
cana-619	111	54	100	100	NUM
cana-619	111	55	0	0	NUM
cana-619	111	56	1	1	NUM
cana-619	111	57	37	37	NUM
cana-619	111	58	100101	100101	NUM
cana-619	111	59	0	0	NUM
cana-619	111	60	1	1	NUM
cana-619	111	61	5	5	NUM
cana-619	111	62	101	101	NUM
cana-619	111	63	1	1	NUM
cana-619	111	64	0	0	NUM
cana-619	111	65	38	38	NUM
cana-619	111	66	100110	100110	NUM
cana-619	111	67	0	0	NUM
cana-619	111	68	1	1	NUM
cana-619	111	69	6	6	NUM
cana-619	111	70	110	110	NUM
cana-619	111	71	1	1	NUM
cana-619	111	72	0	0	NUM
cana-619	111	73	39	39	NUM
cana-619	111	74	100111	100111	NUM
cana-619	111	75	1	1	NUM
cana-619	111	76	0	0	NUM
cana-619	111	77	7	7	NUM
cana-619	111	78	111	111	NUM
cana-619	111	79	0	0	NUM
cana-619	111	80	1	1	NUM
cana-619	111	81	40	40	NUM
cana-619	111	82	101000	101000	NUM
cana-619	111	83	1	1	NUM
cana-619	111	84	0	0	NUM
cana-619	111	85	8	8	NUM
cana-619	111	86	1000	1000	NUM
cana-619	111	87	0	0	NUM
cana-619	111	88	1	1	NUM
cana-619	111	89	41	41	NUM
cana-619	111	90	101001	101001	NUM
cana-619	111	91	0	0	NUM
cana-619	111	92	1	1	NUM
cana-619	111	93	9	9	NUM
cana-619	111	94	1001	1001	NUM
cana-619	111	95	1	1	NUM
cana-619	111	96	0	0	NUM
cana-619	111	97	42	42	NUM
cana-619	111	98	101010	101010	NUM
cana-619	111	99	0	0	NUM
cana-619	111	100	1	1	NUM
cana-619	111	101	10	10	NUM
cana-619	111	102	1010	1010	NUM
cana-619	111	103	1	1	NUM
cana-619	111	104	0	0	NUM
cana-619	111	105	43	43	NUM
cana-619	111	106	101011	101011	NUM
cana-619	111	107	1	1	NUM
cana-619	111	108	0	0	NUM
cana-619	111	109	11	11	NUM
cana-619	111	110	1011	1011	NUM
cana-619	111	111	0	0	NUM
cana-619	111	112	1	1	NUM
cana-619	111	113	44	44	NUM
cana-619	111	114	101100	101100	NUM
cana-619	111	115	0	0	NUM
cana-619	111	116	1	1	NUM
cana-619	111	117	12	12	NUM
cana-619	111	118	1100	1100	NUM
cana-619	111	119	1	1	NUM
cana-619	111	120	0	0	NUM
cana-619	111	121	45	45	NUM
cana-619	111	122	101101	101101	NUM
cana-619	111	123	1	1	NUM
cana-619	111	124	0	0	NUM
cana-619	111	125	13	13	NUM
cana-619	111	126	1101	1101	NUM
cana-619	111	127	0	0	NUM
cana-619	111	128	1	1	NUM
cana-619	111	129	46	46	NUM
cana-619	111	130	101110	101110	NUM
cana-619	111	131	1	1	NUM
cana-619	111	132	0	0	NUM
cana-619	111	133	14	14	NUM
cana-619	111	134	1110	1110	NUM
cana-619	111	135	0	0	NUM
cana-619	111	136	1	1	NUM
cana-619	111	137	47	47	NUM
cana-619	111	138	101111	101111	NUM
cana-619	111	139	0	0	NUM
cana-619	111	140	1	1	NUM
cana-619	111	141	15	15	NUM
cana-619	111	142	1111	1111	NUM
cana-619	111	143	1	1	NUM
cana-619	111	144	0	0	NUM
cana-619	111	145	48	48	NUM
cana-619	111	146	110000	110000	NUM
cana-619	111	147	1	1	NUM
cana-619	111	148	0	0	NUM
cana-619	111	149	16	16	NUM
cana-619	111	150	10000	10000	NUM
cana-619	111	151	0	0	NUM
cana-619	111	152	1	1	NUM
cana-619	111	153	49	49	NUM
cana-619	111	154	110001	110001	NUM
cana-619	111	155	0	0	NUM
cana-619	111	156	1	1	NUM
cana-619	111	157	17	17	NUM
cana-619	111	158	10001	10001	NUM
cana-619	111	159	1	1	NUM
cana-619	111	160	0	0	NUM
cana-619	111	161	50	50	NUM
cana-619	111	162	110001	110001	NUM
cana-619	111	163	0	0	NUM
cana-619	111	164	1	1	NUM
cana-619	111	165	18	18	NUM
cana-619	111	166	10010	10010	NUM
cana-619	111	167	1	1	NUM
cana-619	111	168	0	0	NUM
cana-619	111	169	51	51	NUM
cana-619	111	170	110010	110010	NUM
cana-619	111	171	0	0	NUM
cana-619	111	172	1	1	NUM
cana-619	111	173	19	19	NUM
cana-619	111	174	10011	10011	NUM
cana-619	111	175	0	0	NUM
cana-619	111	176	1	1	NUM
cana-619	111	177	52	52	NUM
cana-619	111	178	110011	110011	NUM
cana-619	111	179	1	1	NUM
cana-619	111	180	0	0	NUM
cana-619	111	181	20	20	NUM
cana-619	111	182	10100	10100	NUM
cana-619	111	183	1	1	NUM
cana-619	111	184	0	0	NUM
cana-619	111	185	53	53	NUM
cana-619	111	186	110100	110100	NUM
cana-619	111	187	0	0	NUM
cana-619	111	188	1	1	NUM
cana-619	111	189	21	21	NUM
cana-619	111	190	10101	10101	NUM
cana-619	111	191	0	0	NUM
cana-619	111	192	1	1	NUM
cana-619	111	193	54	54	NUM
cana-619	111	194	110101	110101	NUM
cana-619	111	195	1	1	NUM
cana-619	111	196	0	0	NUM
cana-619	111	197	22	22	NUM
cana-619	111	198	10110	10110	NUM
cana-619	111	199	0	0	NUM
cana-619	111	200	1	1	NUM
cana-619	111	201	55	55	NUM
cana-619	111	202	110110	110110	NUM
cana-619	111	203	1	1	NUM
cana-619	111	204	0	0	NUM
cana-619	111	205	23	23	NUM
cana-619	111	206	10111	10111	NUM
cana-619	111	207	1	1	NUM
cana-619	111	208	0	0	NUM
cana-619	111	209	56	56	NUM
cana-619	111	210	110111	110111	NUM
cana-619	111	211	0	0	NUM
cana-619	111	212	1	1	NUM
cana-619	111	213	24	24	NUM
cana-619	111	214	11000	11000	NUM
cana-619	111	215	1	1	NUM
cana-619	111	216	0	0	NUM
cana-619	111	217	57	57	NUM
cana-619	111	218	111000	111000	NUM
cana-619	111	219	0	0	NUM
cana-619	111	220	1	1	NUM
cana-619	111	221	communications	communication	NOUN
cana-619	111	222	on	on	ADP
cana-619	111	223	applied	apply	VERB
cana-619	111	224	nonlinear	nonlinear	ADJ
cana-619	111	225	analysis	analysis	NOUN
cana-619	111	226	issn	issn	NOUN
cana-619	111	227	:	:	PUNCT
cana-619	111	228	1074	1074	NUM
cana-619	111	229	-	-	PUNCT
cana-619	111	230	133x	133x	NUM
cana-619	111	231	vol	vol	NOUN
cana-619	111	232	31	31	NUM
cana-619	111	233	no	no	NOUN
cana-619	111	234	.	.	PUNCT
cana-619	112	1	2s	2s	NUM
cana-619	112	2	(	(	PUNCT
cana-619	112	3	2024	2024	NUM
cana-619	112	4	)	)	PUNCT
cana-619	112	5	180	180	NUM
cana-619	112	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-619	112	7	25	25	NUM
cana-619	112	8	11001	11001	NUM
cana-619	112	9	0	0	NUM
cana-619	112	10	1	1	NUM
cana-619	112	11	58	58	NUM
cana-619	112	12	111001	111001	NUM
cana-619	112	13	1	1	NUM
cana-619	112	14	0	0	NUM
cana-619	112	15	26	26	NUM
cana-619	112	16	11010	11010	NUM
cana-619	112	17	0	0	NUM
cana-619	112	18	1	1	NUM
cana-619	112	19	59	59	NUM
cana-619	112	20	111010	111010	NUM
cana-619	112	21	1	1	NUM
cana-619	112	22	0	0	NUM
cana-619	112	23	27	27	NUM
cana-619	112	24	11011	11011	NUM
cana-619	112	25	1	1	NUM
cana-619	112	26	0	0	NUM
cana-619	112	27	60	60	NUM
cana-619	112	28	111011	111011	NUM
cana-619	112	29	0	0	NUM
cana-619	112	30	1	1	NUM
cana-619	112	31	28	28	NUM
cana-619	112	32	11100	11100	NUM
cana-619	112	33	0	0	NUM
cana-619	112	34	1	1	NUM
cana-619	112	35	61	61	NUM
cana-619	112	36	111100	111100	NUM
cana-619	112	37	1	1	NUM
cana-619	112	38	0	0	NUM
cana-619	112	39	29	29	NUM
cana-619	112	40	11101	11101	NUM
cana-619	112	41	1	1	NUM
cana-619	112	42	0	0	NUM
cana-619	112	43	62	62	NUM
cana-619	112	44	111101	111101	NUM
cana-619	112	45	0	0	NUM
cana-619	112	46	1	1	NUM
cana-619	112	47	30	30	NUM
cana-619	112	48	11110	11110	NUM
cana-619	112	49	1	1	NUM
cana-619	112	50	0	0	NUM
cana-619	112	51	63	63	NUM
cana-619	112	52	111111	111111	NUM
cana-619	112	53	1	1	NUM
cana-619	112	54	0	0	NUM
cana-619	112	55	31	31	NUM
cana-619	112	56	11111	11111	NUM
cana-619	112	57	0	0	NUM
cana-619	112	58	1	1	NUM
cana-619	112	59	32	32	NUM
cana-619	112	60	100000	100000	NUM
cana-619	112	61	0	0	NUM
cana-619	112	62	1	1	NUM
cana-619	112	63	table	table	NOUN
cana-619	112	64	3.3	3.3	NUM
cana-619	112	65	:	:	PUNCT
cana-619	112	66	odd	odd	ADJ
cana-619	112	67	and	and	CCONJ
cana-619	112	68	even	even	ADV
cana-619	112	69	parity	parity	NOUN
cana-619	112	70	generator	generator	NOUN
cana-619	112	71	therefore	therefore	ADV
cana-619	112	72	,	,	PUNCT
cana-619	112	73	a	a	DET
cana-619	112	74	parity	parity	NOUN
cana-619	112	75	bit	bit	NOUN
cana-619	112	76	is	be	AUX
cana-619	112	77	added	add	VERB
cana-619	112	78	to	to	ADP
cana-619	112	79	the	the	DET
cana-619	112	80	word	word	NOUN
cana-619	112	81	containing	contain	VERB
cana-619	112	82	the	the	DET
cana-619	112	83	data	datum	NOUN
cana-619	112	84	.	.	PUNCT
cana-619	113	1	there	there	PRON
cana-619	113	2	is	be	VERB
cana-619	113	3	a	a	DET
cana-619	113	4	data	data	NOUN
cana-619	113	5	error	error	NOUN
cana-619	113	6	when	when	SCONJ
cana-619	113	7	a	a	DET
cana-619	113	8	message	message	NOUN
cana-619	113	9	contains	contain	VERB
cana-619	113	10	the	the	DET
cana-619	113	11	count	count	NOUN
cana-619	113	12	reaches	reach	VERB
cana-619	113	13	ones	one	NOUN
cana-619	113	14	at	at	ADP
cana-619	113	15	the	the	DET
cana-619	113	16	receiving	receiving	NOUN
cana-619	113	17	end	end	NOUN
cana-619	113	18	is	be	AUX
cana-619	113	19	counted	count	VERB
cana-619	113	20	and	and	CCONJ
cana-619	113	21	it	it	PRON
cana-619	113	22	differs	differ	VERB
cana-619	113	23	from	from	ADP
cana-619	113	24	the	the	DET
cana-619	113	25	one	one	NOUN
cana-619	113	26	that	that	PRON
cana-619	113	27	was	be	AUX
cana-619	113	28	broadcast	broadcast	VERB
cana-619	113	29	.	.	PUNCT
cana-619	114	1	the	the	DET
cana-619	114	2	entirety	entirety	NOUN
cana-619	114	3	of	of	ADP
cana-619	114	4	the	the	DET
cana-619	114	5	quantity	quantity	NOUN
cana-619	114	6	of	of	ADP
cana-619	114	7	ones	one	NOUN
cana-619	114	8	will	will	AUX
cana-619	114	9	be	be	AUX
cana-619	114	10	even	even	ADV
cana-619	114	11	parity	parity	NOUN
cana-619	114	12	bit	bit	NOUN
cana-619	114	13	.	.	PUNCT
cana-619	115	1	when	when	SCONJ
cana-619	115	2	the	the	DET
cana-619	115	3	additional	additional	ADJ
cana-619	115	4	parity	parity	NOUN
cana-619	115	5	bit	bit	NOUN
cana-619	115	6	is	be	AUX
cana-619	115	7	used	use	VERB
cana-619	115	8	,	,	PUNCT
cana-619	115	9	and	and	CCONJ
cana-619	115	10	odd	odd	ADJ
cana-619	115	11	parity	parity	NOUN
cana-619	115	12	when	when	SCONJ
cana-619	115	13	the	the	DET
cana-619	115	14	added	add	VERB
cana-619	115	15	parity	parity	NOUN
cana-619	115	16	bit	bit	NOUN
cana-619	115	17	is	be	AUX
cana-619	115	18	used	use	VERB
cana-619	115	19	.	.	PUNCT
cana-619	116	1	the	the	DET
cana-619	116	2	fundamental	fundamental	ADJ
cana-619	116	3	idea	idea	NOUN
cana-619	116	4	behind	behind	ADP
cana-619	116	5	parity	parity	NOUN
cana-619	116	6	network	network	NOUN
cana-619	116	7	implementation	implementation	NOUN
cana-619	116	8	is	be	AUX
cana-619	116	9	that	that	SCONJ
cana-619	116	10	the	the	DET
cana-619	116	11	total	total	NOUN
cana-619	116	12	of	of	ADP
cana-619	116	13	an	an	DET
cana-619	116	14	odd	odd	ADJ
cana-619	116	15	number	number	NOUN
cana-619	116	16	of	of	ADP
cana-619	116	17	1′s	1′s	NUM
cana-619	116	18	is	be	AUX
cana-619	116	19	always	always	ADV
cana-619	116	20	1	1	NUM
cana-619	116	21	,	,	PUNCT
cana-619	116	22	and	and	CCONJ
cana-619	116	23	the	the	DET
cana-619	116	24	sum	sum	NOUN
cana-619	116	25	of	of	ADP
cana-619	116	26	an	an	DET
cana-619	116	27	even	even	ADJ
cana-619	116	28	number	number	NOUN
cana-619	116	29	of	of	ADP
cana-619	116	30	ones	one	NOUN
cana-619	116	31	is	be	AUX
cana-619	116	32	always	always	ADV
cana-619	116	33	zero	zero	NUM
cana-619	116	34	.	.	PUNCT
cana-619	117	1	parity	parity	NOUN
cana-619	117	2	checker	checker	NOUN
cana-619	117	3	:	:	PUNCT
cana-619	117	4	imagine	imagine	VERB
cana-619	117	5	that	that	SCONJ
cana-619	117	6	the	the	DET
cana-619	117	7	sender	sender	NOUN
cana-619	117	8	point	point	NOUN
cana-619	117	9	receives	receive	VERB
cana-619	117	10	three	three	NUM
cana-619	117	11	input	input	NOUN
cana-619	117	12	messages	message	NOUN
cana-619	117	13	and	and	CCONJ
cana-619	117	14	an	an	DET
cana-619	117	15	even	even	ADJ
cana-619	117	16	parity	parity	NOUN
cana-619	117	17	bit	bit	NOUN
cana-619	117	18	.	.	PUNCT
cana-619	118	1	the	the	DET
cana-619	118	2	parity	parity	NOUN
cana-619	118	3	detector	detector	NOUN
cana-619	118	4	circuit	circuit	NOUN
cana-619	118	5	utilises	utilise	VERB
cana-619	118	6	these	these	DET
cana-619	118	7	bits	bit	NOUN
cana-619	118	8	as	as	ADP
cana-619	118	9	input	input	NOUN
cana-619	118	10	to	to	PART
cana-619	118	11	determine	determine	VERB
cana-619	118	12	whether	whether	SCONJ
cana-619	118	13	the	the	DET
cana-619	118	14	data	datum	NOUN
cana-619	118	15	comprises	comprise	VERB
cana-619	118	16	imperfections	imperfection	NOUN
cana-619	118	17	.	.	PUNCT
cana-619	119	1	considering	consider	VERB
cana-619	119	2	the	the	DET
cana-619	119	3	even	even	ADJ
cana-619	119	4	parity	parity	NOUN
cana-619	119	5	of	of	ADP
cana-619	119	6	the	the	DET
cana-619	119	7	data	data	NOUN
cana-619	119	8	dissemination	dissemination	NOUN
cana-619	119	9	,	,	PUNCT
cana-619	119	10	the	the	DET
cana-619	119	11	four	four	NUM
cana-619	119	12	bits	bit	NOUN
cana-619	119	13	intercepted	intercept	VERB
cana-619	119	14	at	at	ADP
cana-619	119	15	the	the	DET
cana-619	119	16	circuit	circuit	NOUN
cana-619	119	17	must	must	AUX
cana-619	119	18	include	include	VERB
cana-619	119	19	a	a	DET
cana-619	119	20	pair	pair	NOUN
cana-619	119	21	of	of	ADP
cana-619	119	22	one	one	NUM
cana-619	119	23	's	's	PART
cana-619	119	24	.	.	PUNCT
cana-619	120	1	[	[	X
cana-619	120	2	𝐸	𝐸	X
cana-619	120	3	]	]	X
cana-619	120	4	=	=	X
cana-619	120	5	{	{	PUNCT
cana-619	120	6	1	1	NUM
cana-619	120	7	,	,	PUNCT
cana-619	120	8	0	0	NUM
cana-619	120	9	,	,	PUNCT
cana-619	120	10	𝑖𝑓	𝑖𝑓	NOUN
cana-619	120	11	𝑡ℎ𝑒	𝑡ℎ𝑒	VERB
cana-619	120	12	𝑒𝑟𝑟𝑜𝑟	𝑒𝑟𝑟𝑜𝑟	PROPN
cana-619	120	13	𝑜𝑐𝑐𝑢𝑟𝑠	𝑜𝑐𝑐𝑢𝑟𝑠	NOUN
cana-619	120	14	𝑂𝑡ℎ𝑒𝑟𝑤𝑖𝑠𝑒	𝑂𝑡ℎ𝑒𝑟𝑤𝑖𝑠𝑒	PROPN
cana-619	120	15	the	the	DET
cana-619	120	16	received	receive	VERB
cana-619	120	17	message	message	NOUN
cana-619	120	18	involves	involve	VERB
cana-619	120	19	a	a	DET
cana-619	120	20	small	small	ADJ
cana-619	120	21	number	number	NOUN
cana-619	120	22	of	of	ADP
cana-619	120	23	one	one	NUM
cana-619	120	24	's	be	AUX
cana-619	120	25	if	if	SCONJ
cana-619	120	26	there	there	PRON
cana-619	120	27	is	be	VERB
cana-619	120	28	an	an	DET
cana-619	120	29	oversight	oversight	NOUN
cana-619	120	30	.	.	PUNCT
cana-619	121	1	pec	pec	NOUN
cana-619	121	2	(	(	PUNCT
cana-619	121	3	parity	parity	NOUN
cana-619	121	4	error	error	NOUN
cana-619	121	5	check	check	NOUN
cana-619	121	6	)	)	PUNCT
cana-619	121	7	is	be	AUX
cana-619	121	8	the	the	DET
cana-619	121	9	return	return	NOUN
cana-619	121	10	value	value	NOUN
cana-619	121	11	of	of	ADP
cana-619	121	12	the	the	DET
cana-619	121	13	parity	parity	NOUN
cana-619	121	14	detector	detector	NOUN
cana-619	121	15	.	.	PUNCT
cana-619	122	1	fig	fig	NOUN
cana-619	122	2	3.3	3.3	NUM
cana-619	122	3	:	:	PUNCT
cana-619	122	4	encoding	encode	VERB
cana-619	122	5	and	and	CCONJ
cana-619	122	6	decoding	decode	VERB
cana-619	122	7	with	with	ADP
cana-619	122	8	error	error	NOUN
cana-619	122	9	correcting	correct	VERB
cana-619	122	10	sequence	sequence	NOUN
cana-619	122	11	communications	communication	NOUN
cana-619	122	12	on	on	ADP
cana-619	122	13	applied	apply	VERB
cana-619	122	14	nonlinear	nonlinear	ADJ
cana-619	122	15	analysis	analysis	NOUN
cana-619	122	16	issn	issn	NOUN
cana-619	122	17	:	:	PUNCT
cana-619	122	18	1074	1074	NUM
cana-619	122	19	-	-	PUNCT
cana-619	122	20	133x	133x	NUM
cana-619	122	21	vol	vol	NOUN
cana-619	122	22	31	31	NUM
cana-619	122	23	no	no	NOUN
cana-619	122	24	.	.	PUNCT
cana-619	123	1	2s	2s	NUM
cana-619	123	2	(	(	PUNCT
cana-619	123	3	2024	2024	NUM
cana-619	123	4	)	)	PUNCT
cana-619	123	5	181	181	NUM
cana-619	124	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-619	124	2	5	5	NUM
cana-619	124	3	.	.	X
cana-619	124	4	efficient	efficient	ADJ
cana-619	124	5	data	datum	NOUN
cana-619	124	6	compression	compression	NOUN
cana-619	124	7	and	and	CCONJ
cana-619	124	8	decoding	decode	VERB
cana-619	124	9	using	use	VERB
cana-619	124	10	huffman	huffman	PROPN
cana-619	124	11	coding	code	VERB
cana-619	124	12	algorithm	algorithm	NOUN
cana-619	124	13	in	in	ADP
cana-619	124	14	mrna	mrna	PROPN
cana-619	124	15	sequence	sequence	NOUN
cana-619	124	16	analysis	analysis	NOUN
cana-619	124	17	in	in	ADP
cana-619	124	18	this	this	DET
cana-619	124	19	segment	segment	NOUN
cana-619	124	20	,	,	PUNCT
cana-619	124	21	we	we	PRON
cana-619	124	22	propose	propose	VERB
cana-619	124	23	the	the	DET
cana-619	124	24	formula	formula	NOUN
cana-619	124	25	to	to	PART
cana-619	124	26	enhance	enhance	VERB
cana-619	124	27	the	the	DET
cana-619	124	28	efficiency	efficiency	NOUN
cana-619	124	29	of	of	ADP
cana-619	124	30	information	information	NOUN
cana-619	124	31	storage	storage	NOUN
cana-619	124	32	during	during	ADP
cana-619	124	33	both	both	CCONJ
cana-619	124	34	the	the	DET
cana-619	124	35	encoding	encoding	NOUN
cana-619	124	36	and	and	CCONJ
cana-619	124	37	decoding	decode	VERB
cana-619	124	38	processes	process	NOUN
cana-619	124	39	.	.	PUNCT
cana-619	125	1	algorithm	algorithm	NOUN
cana-619	125	2	:	:	PUNCT
cana-619	125	3	step	step	NOUN
cana-619	125	4	1	1	NUM
cana-619	125	5	:	:	PUNCT
cana-619	125	6	scan	scan	VERB
cana-619	125	7	the	the	DET
cana-619	125	8	mrna	mrna	PROPN
cana-619	125	9	sequence	sequence	NOUN
cana-619	125	10	to	to	PART
cana-619	125	11	tally	tally	VERB
cana-619	125	12	the	the	DET
cana-619	125	13	occurrences	occurrence	NOUN
cana-619	125	14	of	of	ADP
cana-619	125	15	each	each	DET
cana-619	125	16	base	base	NOUN
cana-619	125	17	and	and	CCONJ
cana-619	125	18	convert	convert	VERB
cana-619	125	19	them	they	PRON
cana-619	125	20	into	into	ADP
cana-619	125	21	binary	binary	ADJ
cana-619	125	22	data	datum	NOUN
cana-619	125	23	.	.	PUNCT
cana-619	126	1	subsequently	subsequently	ADV
cana-619	126	2	,	,	PUNCT
cana-619	126	3	generate	generate	VERB
cana-619	126	4	nodes	node	NOUN
cana-619	126	5	for	for	ADP
cana-619	126	6	each	each	DET
cana-619	126	7	base	base	NOUN
cana-619	126	8	containing	contain	VERB
cana-619	126	9	its	its	PRON
cana-619	126	10	mrna	mrna	NOUN
cana-619	126	11	counterpart	counterpart	NOUN
cana-619	126	12	along	along	ADP
cana-619	126	13	with	with	ADP
cana-619	126	14	its	its	PRON
cana-619	126	15	binary	binary	ADJ
cana-619	126	16	representation	representation	NOUN
cana-619	126	17	.	.	PUNCT
cana-619	127	1	step	step	NOUN
cana-619	127	2	2	2	NUM
cana-619	127	3	:	:	PUNCT
cana-619	127	4	create	create	VERB
cana-619	127	5	a	a	DET
cana-619	127	6	priority	priority	NOUN
cana-619	127	7	queue	queue	NOUN
cana-619	127	8	using	use	VERB
cana-619	127	9	a	a	DET
cana-619	127	10	max	max	ADJ
cana-619	127	11	-	-	PUNCT
cana-619	127	12	heap	heap	NOUN
cana-619	127	13	structure	structure	NOUN
cana-619	127	14	,	,	PUNCT
cana-619	127	15	prioritizing	prioritize	VERB
cana-619	127	16	nodes	node	NOUN
cana-619	127	17	based	base	VERB
cana-619	127	18	on	on	ADP
cana-619	127	19	the	the	DET
cana-619	127	20	abundance	abundance	NOUN
cana-619	127	21	of	of	ADP
cana-619	127	22	binary	binary	PROPN
cana-619	127	23	data	datum	NOUN
cana-619	127	24	associated	associate	VERB
cana-619	127	25	with	with	ADP
cana-619	127	26	each	each	DET
cana-619	127	27	mrna	mrna	PROPN
cana-619	127	28	base	base	NOUN
cana-619	127	29	.	.	PUNCT
cana-619	128	1	the	the	DET
cana-619	128	2	proportion	proportion	NOUN
cana-619	128	3	at	at	ADP
cana-619	128	4	which	which	PRON
cana-619	128	5	the	the	DET
cana-619	128	6	mrna	mrna	PROPN
cana-619	128	7	bases	basis	NOUN
cana-619	128	8	appear	appear	VERB
cana-619	128	9	establishes	establish	VERB
cana-619	128	10	the	the	DET
cana-619	128	11	priority	priority	NOUN
cana-619	128	12	.	.	PUNCT
cana-619	129	1	step	step	NOUN
cana-619	129	2	3	3	NUM
cana-619	129	3	:	:	PUNCT
cana-619	129	4	whenever	whenever	SCONJ
cana-619	129	5	there	there	PRON
cana-619	129	6	is	be	VERB
cana-619	129	7	just	just	ADV
cana-619	129	8	one	one	NUM
cana-619	129	9	node	node	NOUN
cana-619	129	10	remains	remain	VERB
cana-619	129	11	in	in	ADP
cana-619	129	12	the	the	DET
cana-619	129	13	priority	priority	NOUN
cana-619	129	14	queue	queue	NOUN
cana-619	129	15	,	,	PUNCT
cana-619	129	16	keep	keep	VERB
cana-619	129	17	doing	do	VERB
cana-619	129	18	the	the	DET
cana-619	129	19	following	follow	VERB
cana-619	129	20	actions	action	NOUN
cana-619	129	21	that	that	PRON
cana-619	129	22	begin	begin	AUX
cana-619	129	23	extract	extract	VERB
cana-619	129	24	binary	binary	ADJ
cana-619	129	25	data	datum	NOUN
cana-619	129	26	.	.	PUNCT
cana-619	130	1	step	step	NOUN
cana-619	130	2	4	4	NUM
cana-619	130	3	:	:	PUNCT
cana-619	130	4	create	create	VERB
cana-619	130	5	a	a	DET
cana-619	130	6	new	new	ADJ
cana-619	130	7	internal	internal	ADJ
cana-619	130	8	node	node	NOUN
cana-619	130	9	whose	whose	DET
cana-619	130	10	binary	binary	ADJ
cana-619	130	11	data	datum	NOUN
cana-619	130	12	is	be	AUX
cana-619	130	13	the	the	DET
cana-619	130	14	aggregate	aggregate	NOUN
cana-619	130	15	of	of	ADP
cana-619	130	16	the	the	DET
cana-619	130	17	two	two	NUM
cana-619	130	18	derived	derive	VERB
cana-619	130	19	nodes	node	NOUN
cana-619	130	20	data	datum	NOUN
cana-619	130	21	in	in	ADP
cana-619	130	22	binary	binary	NOUN
cana-619	130	23	.	.	PUNCT
cana-619	131	1	the	the	DET
cana-619	131	2	two	two	NUM
cana-619	131	3	previously	previously	ADV
cana-619	131	4	abolished	abolish	VERB
cana-619	131	5	nodes	node	NOUN
cana-619	131	6	have	have	AUX
cana-619	131	7	been	be	AUX
cana-619	131	8	assigned	assign	VERB
cana-619	131	9	this	this	DET
cana-619	131	10	novel	novel	ADJ
cana-619	131	11	node	node	NOUN
cana-619	131	12	as	as	ADP
cana-619	131	13	the	the	DET
cana-619	131	14	underlying	underlie	VERB
cana-619	131	15	node	node	NOUN
cana-619	131	16	.	.	PUNCT
cana-619	132	1	the	the	DET
cana-619	132	2	new	new	ADJ
cana-619	132	3	internal	internal	ADJ
cana-619	132	4	node	node	NOUN
cana-619	132	5	ought	ought	AUX
cana-619	132	6	to	to	PART
cana-619	132	7	be	be	AUX
cana-619	132	8	reinstated	reinstate	VERB
cana-619	132	9	into	into	ADP
cana-619	132	10	the	the	DET
cana-619	132	11	priority	priority	NOUN
cana-619	132	12	queue	queue	NOUN
cana-619	132	13	.	.	PUNCT
cana-619	133	1	step	step	NOUN
cana-619	133	2	5	5	NUM
cana-619	133	3	:	:	PUNCT
cana-619	133	4	this	this	DET
cana-619	133	5	tree	tree	NOUN
cana-619	133	6	is	be	AUX
cana-619	133	7	constructed	construct	VERB
cana-619	133	8	in	in	ADP
cana-619	133	9	a	a	DET
cana-619	133	10	manner	manner	NOUN
cana-619	133	11	where	where	SCONJ
cana-619	133	12	the	the	DET
cana-619	133	13	mrna	mrna	PROPN
cana-619	133	14	bases	basis	NOUN
cana-619	133	15	are	be	AUX
cana-619	133	16	positioned	position	VERB
cana-619	133	17	as	as	ADP
cana-619	133	18	leaves	leave	NOUN
cana-619	133	19	,	,	PUNCT
cana-619	133	20	and	and	CCONJ
cana-619	133	21	the	the	DET
cana-619	133	22	route	route	NOUN
cana-619	133	23	from	from	ADP
cana-619	133	24	the	the	DET
cana-619	133	25	root	root	NOUN
cana-619	133	26	to	to	ADP
cana-619	133	27	each	each	DET
cana-619	133	28	base	base	NOUN
cana-619	133	29	symbolizes	symbolize	VERB
cana-619	133	30	its	its	PRON
cana-619	133	31	code	code	NOUN
cana-619	133	32	of	of	ADP
cana-619	133	33	varying	vary	VERB
cana-619	133	34	lengths	length	NOUN
cana-619	133	35	.	.	PUNCT
cana-619	134	1	step	step	NOUN
cana-619	134	2	6	6	NUM
cana-619	134	3	:	:	PUNCT
cana-619	134	4	explore	explore	VERB
cana-619	134	5	the	the	DET
cana-619	134	6	huffman	huffman	PROPN
cana-619	134	7	tree	tree	NOUN
cana-619	134	8	to	to	PART
cana-619	134	9	allocate	allocate	VERB
cana-619	134	10	binary	binary	ADJ
cana-619	134	11	codes	code	NOUN
cana-619	134	12	to	to	ADP
cana-619	134	13	individual	individual	ADJ
cana-619	134	14	mrna	mrna	PROPN
cana-619	134	15	bases	basis	NOUN
cana-619	134	16	.	.	PUNCT
cana-619	135	1	utilize	utilize	VERB
cana-619	135	2	’	'	PUNCT
cana-619	135	3	1	1	NUM
cana-619	135	4	’	'	PUNCT
cana-619	135	5	to	to	PART
cana-619	135	6	represent	represent	VERB
cana-619	135	7	a	a	DET
cana-619	135	8	left	left	ADJ
cana-619	135	9	branch	branch	NOUN
cana-619	135	10	and	and	CCONJ
cana-619	135	11	’	'	PUNCT
cana-619	135	12	0	0	NUM
cana-619	135	13	’	'	PUNCT
cana-619	135	14	for	for	ADP
cana-619	135	15	a	a	DET
cana-619	135	16	right	right	ADJ
cana-619	135	17	branch	branch	NOUN
cana-619	135	18	.	.	PUNCT
cana-619	136	1	these	these	DET
cana-619	136	2	codes	code	NOUN
cana-619	136	3	are	be	AUX
cana-619	136	4	formulated	formulate	VERB
cana-619	136	5	according	accord	VERB
cana-619	136	6	to	to	ADP
cana-619	136	7	the	the	DET
cana-619	136	8	route	route	NOUN
cana-619	136	9	taken	take	VERB
cana-619	136	10	from	from	ADP
cana-619	136	11	the	the	DET
cana-619	136	12	root	root	NOUN
cana-619	136	13	to	to	ADP
cana-619	136	14	each	each	DET
cana-619	136	15	leaf	leaf	NOUN
cana-619	136	16	node	node	NOUN
cana-619	136	17	.	.	PUNCT
cana-619	137	1	step	step	NOUN
cana-619	137	2	7	7	NUM
cana-619	137	3	:	:	PUNCT
cana-619	137	4	create	create	VERB
cana-619	137	5	a	a	DET
cana-619	137	6	table	table	NOUN
cana-619	137	7	or	or	CCONJ
cana-619	137	8	dictionary	dictionary	NOUN
cana-619	137	9	that	that	PRON
cana-619	137	10	maps	map	VERB
cana-619	137	11	each	each	DET
cana-619	137	12	mrna	mrna	NOUN
cana-619	137	13	base	base	NOUN
cana-619	137	14	to	to	ADP
cana-619	137	15	its	its	PRON
cana-619	137	16	corresponding	corresponding	PROPN
cana-619	137	17	huffman	huffman	PROPN
cana-619	137	18	code	code	PROPN
cana-619	137	19	.	.	PUNCT
cana-619	138	1	step	step	NOUN
cana-619	138	2	8	8	NUM
cana-619	138	3	:	:	PUNCT
cana-619	138	4	replace	replace	VERB
cana-619	138	5	each	each	DET
cana-619	138	6	mrna	mrna	NOUN
cana-619	138	7	base	base	NOUN
cana-619	138	8	in	in	ADP
cana-619	138	9	the	the	DET
cana-619	138	10	original	original	ADJ
cana-619	138	11	sequence	sequence	NOUN
cana-619	138	12	with	with	ADP
cana-619	138	13	its	its	PRON
cana-619	138	14	huffman	huffman	PROPN
cana-619	138	15	code	code	NOUN
cana-619	138	16	to	to	PART
cana-619	138	17	generate	generate	VERB
cana-619	138	18	the	the	DET
cana-619	138	19	compressed	compress	VERB
cana-619	138	20	data	datum	NOUN
cana-619	138	21	.	.	PUNCT
cana-619	139	1	step	step	NOUN
cana-619	139	2	9	9	NUM
cana-619	139	3	:	:	PUNCT
cana-619	139	4	decode	decode	VERB
cana-619	139	5	the	the	DET
cana-619	139	6	compressed	compress	VERB
cana-619	139	7	data	datum	NOUN
cana-619	139	8	back	back	ADV
cana-619	139	9	to	to	ADP
cana-619	139	10	its	its	PRON
cana-619	139	11	original	original	ADJ
cana-619	139	12	mrna	mrna	NOUN
cana-619	139	13	sequence	sequence	NOUN
cana-619	139	14	.	.	PUNCT
cana-619	140	1	the	the	DET
cana-619	140	2	subsequent	subsequent	ADJ
cana-619	140	3	methodology	methodology	NOUN
cana-619	140	4	evaluates	evaluate	VERB
cana-619	140	5	the	the	DET
cana-619	140	6	calculation	calculation	NOUN
cana-619	140	7	method	method	NOUN
cana-619	140	8	.	.	PUNCT
cana-619	141	1	codons	codon	NOUN
cana-619	141	2	aaa	aaa	VERB
cana-619	141	3	aac	aac	PROPN
cana-619	141	4	aag	aag	PROPN
cana-619	141	5	aau	aau	PROPN
cana-619	141	6	caa	caa	PROPN
cana-619	141	7	cac	cac	PROPN
cana-619	141	8	binary	binary	PROPN
cana-619	141	9	number	number	NOUN
cana-619	141	10	0	0	NUM
cana-619	141	11	1	1	NUM
cana-619	141	12	10	10	NUM
cana-619	141	13	11	11	NUM
cana-619	141	14	100	100	NUM
cana-619	141	15	101	101	NUM
cana-619	141	16	step	step	NOUN
cana-619	141	17	1	1	NUM
cana-619	141	18	:	:	PUNCT
cana-619	141	19	determine	determine	VERB
cana-619	141	20	the	the	DET
cana-619	141	21	binary	binary	ADJ
cana-619	141	22	data	datum	NOUN
cana-619	141	23	of	of	ADP
cana-619	141	24	each	each	DET
cana-619	141	25	mrna	mrna	NOUN
cana-619	141	26	base	base	NOUN
cana-619	141	27	in	in	ADP
cana-619	141	28	the	the	DET
cana-619	141	29	input	input	NOUN
cana-619	141	30	data	datum	NOUN
cana-619	141	31	by	by	ADP
cana-619	141	32	scanning	scan	VERB
cana-619	141	33	the	the	DET
cana-619	141	34	sequence	sequence	NOUN
cana-619	141	35	and	and	CCONJ
cana-619	141	36	counting	count	VERB
cana-619	141	37	occurrences	occurrence	NOUN
cana-619	141	38	,	,	PUNCT
cana-619	141	39	then	then	ADV
cana-619	141	40	create	create	VERB
cana-619	141	41	nodes	node	NOUN
cana-619	141	42	for	for	ADP
cana-619	141	43	each	each	DET
cana-619	141	44	base	base	NOUN
cana-619	141	45	holding	hold	VERB
cana-619	141	46	its	its	PRON
cana-619	141	47	mrna	mrna	NOUN
cana-619	141	48	representation	representation	NOUN
cana-619	141	49	along	along	ADP
cana-619	141	50	with	with	ADP
cana-619	141	51	its	its	PRON
cana-619	141	52	binary	binary	ADJ
cana-619	141	53	data	datum	NOUN
cana-619	141	54	.	.	PUNCT
cana-619	142	1	communications	communication	NOUN
cana-619	142	2	on	on	ADP
cana-619	142	3	applied	apply	VERB
cana-619	142	4	nonlinear	nonlinear	ADJ
cana-619	142	5	analysis	analysis	NOUN
cana-619	142	6	issn	issn	NOUN
cana-619	142	7	:	:	PUNCT
cana-619	142	8	1074	1074	NUM
cana-619	142	9	-	-	PUNCT
cana-619	142	10	133x	133x	NUM
cana-619	142	11	vol	vol	NOUN
cana-619	142	12	31	31	NUM
cana-619	142	13	no	no	NOUN
cana-619	142	14	.	.	PUNCT
cana-619	143	1	2s	2s	NUM
cana-619	143	2	(	(	PUNCT
cana-619	143	3	2024	2024	NUM
cana-619	143	4	)	)	PUNCT
cana-619	143	5	182	182	NUM
cana-619	143	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-619	143	7	step	step	NOUN
cana-619	143	8	2	2	NUM
cana-619	143	9	:	:	PUNCT
cana-619	143	10	for	for	ADP
cana-619	143	11	each	each	DET
cana-619	143	12	mrna	mrna	PROPN
cana-619	143	13	base	base	NOUN
cana-619	143	14	in	in	ADP
cana-619	143	15	the	the	DET
cana-619	143	16	input	input	NOUN
cana-619	143	17	with	with	ADP
cana-619	143	18	a	a	DET
cana-619	143	19	binary	binary	ADJ
cana-619	143	20	data	datum	NOUN
cana-619	143	21	,	,	PUNCT
cana-619	143	22	create	create	VERB
cana-619	143	23	a	a	DET
cana-619	143	24	node	node	NOUN
cana-619	143	25	containing	contain	VERB
cana-619	143	26	that	that	DET
cana-619	143	27	base	base	NOUN
cana-619	143	28	dna	dna	PROPN
cana-619	143	29	.	.	PUNCT
cana-619	144	1	step	step	NOUN
cana-619	144	2	3	3	NUM
cana-619	144	3	:	:	PUNCT
cana-619	144	4	for	for	ADP
cana-619	144	5	(	(	PUNCT
cana-619	144	6	max	max	NOUN
cana-619	144	7	-	-	PUNCT
cana-619	144	8	heap	heap	NOUN
cana-619	144	9	)	)	PUNCT
cana-619	144	10	using	use	VERB
cana-619	144	11	the	the	DET
cana-619	144	12	initial	initial	ADJ
cana-619	144	13	nodes	node	NOUN
cana-619	144	14	.	.	PUNCT
cana-619	145	1	the	the	DET
cana-619	145	2	priority	priority	NOUN
cana-619	145	3	queue	queue	NOUN
cana-619	145	4	is	be	AUX
cana-619	145	5	based	base	VERB
cana-619	145	6	on	on	ADP
cana-619	145	7	the	the	DET
cana-619	145	8	frequencies	frequency	NOUN
cana-619	145	9	of	of	ADP
cana-619	145	10	the	the	DET
cana-619	145	11	mrna	mrna	PROPN
cana-619	145	12	bases	basis	NOUN
cana-619	145	13	,	,	PUNCT
cana-619	145	14	with	with	ADP
cana-619	145	15	nodes	node	NOUN
cana-619	145	16	having	have	VERB
cana-619	145	17	large	large	ADJ
cana-619	145	18	binary	binary	ADJ
cana-619	145	19	data	datum	NOUN
cana-619	145	20	having	have	VERB
cana-619	145	21	higher	high	ADJ
cana-619	145	22	priority	priority	NOUN
cana-619	145	23	.	.	PUNCT
cana-619	146	1	step	step	NOUN
cana-619	146	2	4	4	NUM
cana-619	146	3	:	:	PUNCT
cana-619	146	4	whenever	whenever	SCONJ
cana-619	146	5	there	there	PRON
cana-619	146	6	is	be	VERB
cana-619	146	7	just	just	ADV
cana-619	146	8	a	a	DET
cana-619	146	9	single	single	ADJ
cana-619	146	10	node	node	NOUN
cana-619	146	11	in	in	ADP
cana-619	146	12	the	the	DET
cana-619	146	13	priority	priority	NOUN
cana-619	146	14	queue	queue	NOUN
cana-619	146	15	,	,	PUNCT
cana-619	146	16	keep	keep	VERB
cana-619	146	17	doing	do	VERB
cana-619	146	18	the	the	DET
cana-619	146	19	following	following	NOUN
cana-619	146	20	:	:	PUNCT
cana-619	146	21	i.	i.	NOUN
cana-619	146	22	take	take	VERB
cana-619	146	23	the	the	DET
cana-619	146	24	top	top	ADJ
cana-619	146	25	two	two	NUM
cana-619	146	26	nodes	node	NOUN
cana-619	146	27	in	in	ADP
cana-619	146	28	the	the	DET
cana-619	146	29	priority	priority	NOUN
cana-619	146	30	queue	queue	NOUN
cana-619	146	31	for	for	ADP
cana-619	146	32	binary	binary	PROPN
cana-619	146	33	data	data	PROPN
cana-619	146	34	extraction	extraction	NOUN
cana-619	146	35	.	.	PUNCT
cana-619	147	1	ii	ii	PROPN
cana-619	147	2	.	.	PUNCT
cana-619	148	1	with	with	ADP
cana-619	148	2	binary	binary	PROPN
cana-619	148	3	data	datum	NOUN
cana-619	148	4	equal	equal	ADJ
cana-619	148	5	to	to	ADP
cana-619	148	6	the	the	DET
cana-619	148	7	total	total	NOUN
cana-619	148	8	of	of	ADP
cana-619	148	9	the	the	DET
cana-619	148	10	binary	binary	PROPN
cana-619	148	11	data	datum	NOUN
cana-619	148	12	from	from	ADP
cana-619	148	13	the	the	DET
cana-619	148	14	two	two	NUM
cana-619	148	15	extracted	extract	VERB
cana-619	148	16	nodes	node	NOUN
cana-619	148	17	,	,	PUNCT
cana-619	148	18	create	create	VERB
cana-619	148	19	a	a	DET
cana-619	148	20	new	new	ADJ
cana-619	148	21	internal	internal	ADJ
cana-619	148	22	node	node	NOUN
cana-619	148	23	.	.	PUNCT
cana-619	149	1	assign	assign	VERB
cana-619	149	2	the	the	DET
cana-619	149	3	two	two	NUM
cana-619	149	4	extracted	extract	VERB
cana-619	149	5	nodes	node	NOUN
cana-619	149	6	to	to	ADP
cana-619	149	7	this	this	DET
cana-619	149	8	new	new	ADJ
cana-619	149	9	node	node	NOUN
cana-619	149	10	as	as	ADP
cana-619	149	11	their	their	PRON
cana-619	149	12	parents	parent	NOUN
cana-619	149	13	.	.	PUNCT
cana-619	150	1	iii	iii	AUX
cana-619	150	2	.	.	PUNCT
cana-619	150	3	re	re	VERB
cana-619	150	4	-	-	VERB
cana-619	150	5	add	add	VERB
cana-619	150	6	the	the	DET
cana-619	150	7	newly	newly	ADV
cana-619	150	8	created	create	VERB
cana-619	150	9	internal	internal	ADJ
cana-619	150	10	node	node	NOUN
cana-619	150	11	to	to	ADP
cana-619	150	12	the	the	DET
cana-619	150	13	priority	priority	NOUN
cana-619	150	14	queue	queue	NOUN
cana-619	150	15	.	.	PUNCT
cana-619	151	1	communications	communication	NOUN
cana-619	151	2	on	on	ADP
cana-619	151	3	applied	apply	VERB
cana-619	151	4	nonlinear	nonlinear	ADJ
cana-619	151	5	analysis	analysis	NOUN
cana-619	151	6	issn	issn	NOUN
cana-619	151	7	:	:	PUNCT
cana-619	151	8	1074	1074	NUM
cana-619	151	9	-	-	PUNCT
cana-619	151	10	133x	133x	NUM
cana-619	151	11	vol	vol	NOUN
cana-619	151	12	31	31	NUM
cana-619	151	13	no	no	NOUN
cana-619	151	14	.	.	PUNCT
cana-619	152	1	2s	2s	NUM
cana-619	152	2	(	(	PUNCT
cana-619	152	3	2024	2024	NUM
cana-619	152	4	)	)	PUNCT
cana-619	152	5	183	183	NUM
cana-619	152	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-619	152	7	step	step	NOUN
cana-619	152	8	5	5	NUM
cana-619	152	9	:	:	PUNCT
cana-619	152	10	the	the	DET
cana-619	152	11	tree	tree	NOUN
cana-619	152	12	is	be	AUX
cana-619	152	13	built	build	VERB
cana-619	152	14	such	such	ADJ
cana-619	152	15	that	that	SCONJ
cana-619	152	16	the	the	DET
cana-619	152	17	mrna	mrna	PROPN
cana-619	152	18	bases	basis	NOUN
cana-619	152	19	are	be	AUX
cana-619	152	20	leaves	leave	NOUN
cana-619	152	21	,	,	PUNCT
cana-619	152	22	and	and	CCONJ
cana-619	152	23	the	the	DET
cana-619	152	24	path	path	NOUN
cana-619	152	25	from	from	ADP
cana-619	152	26	the	the	DET
cana-619	152	27	root	root	NOUN
cana-619	152	28	to	to	ADP
cana-619	152	29	each	each	DET
cana-619	152	30	base	base	NOUN
cana-619	152	31	represents	represent	VERB
cana-619	152	32	its	its	PRON
cana-619	152	33	variable	variable	ADJ
cana-619	152	34	-	-	PUNCT
cana-619	152	35	length	length	NOUN
cana-619	152	36	code	code	NOUN
cana-619	152	37	.	.	PUNCT
cana-619	153	1	step	step	NOUN
cana-619	153	2	6	6	NUM
cana-619	153	3	:	:	PUNCT
cana-619	153	4	the	the	DET
cana-619	153	5	codes	code	NOUN
cana-619	153	6	are	be	AUX
cana-619	153	7	constructed	construct	VERB
cana-619	153	8	based	base	VERB
cana-619	153	9	on	on	ADP
cana-619	153	10	the	the	DET
cana-619	153	11	path	path	NOUN
cana-619	153	12	from	from	ADP
cana-619	153	13	the	the	DET
cana-619	153	14	root	root	NOUN
cana-619	153	15	to	to	ADP
cana-619	153	16	each	each	DET
cana-619	153	17	leaf	leaf	NOUN
cana-619	153	18	.	.	PUNCT
cana-619	154	1	communications	communication	NOUN
cana-619	154	2	on	on	ADP
cana-619	154	3	applied	apply	VERB
cana-619	154	4	nonlinear	nonlinear	ADJ
cana-619	154	5	analysis	analysis	NOUN
cana-619	154	6	issn	issn	NOUN
cana-619	154	7	:	:	PUNCT
cana-619	154	8	1074	1074	NUM
cana-619	154	9	-	-	PUNCT
cana-619	154	10	133x	133x	NUM
cana-619	154	11	vol	vol	NOUN
cana-619	154	12	31	31	NUM
cana-619	154	13	no	no	NOUN
cana-619	154	14	.	.	PUNCT
cana-619	155	1	2s	2s	NUM
cana-619	155	2	(	(	PUNCT
cana-619	155	3	2024	2024	NUM
cana-619	155	4	)	)	PUNCT
cana-619	155	5	184	184	NUM
cana-619	155	6	https://internationalpubls.com	https://internationalpubls.com	NUM
cana-619	155	7	encoded	encode	VERB
cana-619	155	8	mrna	mrna	PROPN
cana-619	155	9	sequence	sequence	NOUN
cana-619	155	10	“	"	PUNCT
cana-619	155	11	aacaag	aacaag	PROPN
cana-619	155	12	”	"	PUNCT
cana-619	155	13	decoded	decode	VERB
cana-619	155	14	as	as	ADP
cana-619	155	15	“	"	PUNCT
cana-619	155	16	10110	10110	NUM
cana-619	155	17	,	,	PUNCT
cana-619	155	18	”	"	PUNCT
cana-619	155	19	corresponds	correspond	VERB
cana-619	155	20	to	to	ADP
cana-619	155	21	the	the	DET
cana-619	155	22	nucleotide	nucleotide	NOUN
cana-619	155	23	triplets	triplet	NOUN
cana-619	155	24	cac	cac	PROPN
cana-619	155	25	(	(	PUNCT
cana-619	155	26	11111	11111	NUM
cana-619	155	27	)	)	PUNCT
cana-619	155	28	,	,	PUNCT
cana-619	155	29	caa	caa	NOUN
cana-619	155	30	(	(	PUNCT
cana-619	155	31	11110	11110	NUM
cana-619	155	32	)	)	PUNCT
cana-619	155	33	,	,	PUNCT
cana-619	155	34	aau	aau	PROPN
cana-619	155	35	(	(	PUNCT
cana-619	155	36	1110	1110	NUM
cana-619	155	37	)	)	PUNCT
cana-619	155	38	,	,	PUNCT
cana-619	155	39	aag	aag	PROPN
cana-619	155	40	(	(	PUNCT
cana-619	155	41	10	10	NUM
cana-619	155	42	)	)	PUNCT
cana-619	155	43	,	,	PUNCT
cana-619	155	44	and	and	CCONJ
cana-619	155	45	aaa	aaa	NOUN
cana-619	155	46	(	(	PUNCT
cana-619	155	47	0	0	NUM
cana-619	155	48	)	)	PUNCT
cana-619	155	49	,	,	PUNCT
cana-619	155	50	resulting	result	VERB
cana-619	155	51	in	in	ADP
cana-619	155	52	the	the	DET
cana-619	155	53	amino	amino	NOUN
cana-619	155	54	acid	acid	NOUN
cana-619	155	55	sequence	sequence	NOUN
cana-619	155	56	nk	nk	PROPN
cana-619	155	57	.	.	PROPN
cana-619	155	58	6	6	NUM
cana-619	155	59	.	.	X
cana-619	155	60	conclusion	conclusion	NOUN
cana-619	155	61	we	we	PRON
cana-619	155	62	have	have	AUX
cana-619	155	63	bridged	bridge	VERB
cana-619	155	64	the	the	DET
cana-619	155	65	gap	gap	NOUN
cana-619	155	66	between	between	ADP
cana-619	155	67	mathematics	mathematic	NOUN
cana-619	155	68	and	and	CCONJ
cana-619	155	69	biology	biology	NOUN
cana-619	155	70	,	,	PUNCT
cana-619	155	71	uncovering	uncover	VERB
cana-619	155	72	hidden	hidden	ADJ
cana-619	155	73	patterns	pattern	NOUN
cana-619	155	74	within	within	ADP
cana-619	155	75	mrna	mrna	PROPN
cana-619	155	76	sequences	sequence	NOUN
cana-619	155	77	using	use	VERB
cana-619	155	78	zero	zero	NUM
cana-619	155	79	divisor	divisor	NOUN
cana-619	155	80	graph	graph	NOUN
cana-619	155	81	z64	z64	NOUN
cana-619	155	82	.	.	PUNCT
cana-619	156	1	by	by	ADP
cana-619	156	2	utilizing	utilize	VERB
cana-619	156	3	power	power	NOUN
cana-619	156	4	of	of	ADP
cana-619	156	5	algorithms	algorithm	NOUN
cana-619	156	6	like	like	ADP
cana-619	156	7	huffman	huffman	NOUN
cana-619	156	8	and	and	CCONJ
cana-619	156	9	parity	parity	NOUN
cana-619	156	10	codes	code	NOUN
cana-619	156	11	and	and	CCONJ
cana-619	156	12	turbocharged	turbocharge	VERB
cana-619	156	13	the	the	DET
cana-619	156	14	efficiency	efficiency	NOUN
cana-619	156	15	of	of	ADP
cana-619	156	16	dna	dna	PROPN
cana-619	156	17	sequence	sequence	NOUN
cana-619	156	18	representation	representation	NOUN
cana-619	156	19	and	and	CCONJ
cana-619	156	20	analysis	analysis	NOUN
cana-619	156	21	.	.	PUNCT
cana-619	157	1	with	with	ADP
cana-619	157	2	the	the	DET
cana-619	157	3	implementation	implementation	NOUN
cana-619	157	4	of	of	ADP
cana-619	157	5	error	error	NOUN
cana-619	157	6	correction	correction	NOUN
cana-619	157	7	techniques	technique	NOUN
cana-619	157	8	,	,	PUNCT
cana-619	157	9	we	we	PRON
cana-619	157	10	are	be	AUX
cana-619	157	11	paving	pave	VERB
cana-619	157	12	the	the	DET
cana-619	157	13	way	way	NOUN
cana-619	157	14	for	for	ADP
cana-619	157	15	error	error	NOUN
cana-619	157	16	-	-	PUNCT
cana-619	157	17	free	free	ADJ
cana-619	157	18	decoding	decoding	NOUN
cana-619	157	19	of	of	ADP
cana-619	157	20	complex	complex	ADJ
cana-619	157	21	genetic	genetic	ADJ
cana-619	157	22	codes	code	NOUN
cana-619	157	23	,	,	PUNCT
cana-619	157	24	ensuring	ensure	VERB
cana-619	157	25	accuracy	accuracy	NOUN
cana-619	157	26	and	and	CCONJ
cana-619	157	27	reliability	reliability	NOUN
cana-619	157	28	in	in	ADP
cana-619	157	29	genetic	genetic	ADJ
cana-619	157	30	research	research	NOUN
cana-619	157	31	.	.	PUNCT
cana-619	158	1	our	our	PRON
cana-619	158	2	exploration	exploration	NOUN
cana-619	158	3	of	of	ADP
cana-619	158	4	nondeterministic	nondeterministic	ADJ
cana-619	158	5	zero	zero	NUM
cana-619	158	6	divisor	divisor	NOUN
cana-619	158	7	graphs	graph	NOUN
cana-619	158	8	has	have	AUX
cana-619	158	9	unveiled	unveil	VERB
cana-619	158	10	exciting	exciting	ADJ
cana-619	158	11	prospects	prospect	NOUN
cana-619	158	12	for	for	ADP
cana-619	158	13	understanding	understanding	NOUN
cana-619	158	14	and	and	CCONJ
cana-619	158	15	manipulating	manipulate	VERB
cana-619	158	16	mrna	mrna	PROPN
cana-619	158	17	,	,	PUNCT
cana-619	158	18	offering	offer	VERB
cana-619	158	19	a	a	DET
cana-619	158	20	glimpse	glimpse	NOUN
cana-619	158	21	into	into	ADP
cana-619	158	22	the	the	DET
cana-619	158	23	future	future	NOUN
cana-619	158	24	of	of	ADP
cana-619	158	25	genetic	genetic	ADJ
cana-619	158	26	research	research	NOUN
cana-619	158	27	and	and	CCONJ
cana-619	158	28	technology	technology	NOUN
cana-619	158	29	.	.	PUNCT
cana-619	159	1	references	reference	NOUN
cana-619	159	2	[	[	X
cana-619	159	3	1	1	NUM
cana-619	159	4	]	]	PUNCT
cana-619	159	5	m.	m.	NOUN
cana-619	159	6	ailenberg	ailenberg	NOUN
cana-619	159	7	and	and	CCONJ
cana-619	159	8	o.	o.	PROPN
cana-619	159	9	d.	d.	PROPN
cana-619	159	10	rotstein	rotstein	PROPN
cana-619	159	11	an	an	DET
cana-619	159	12	improved	improved	ADJ
cana-619	159	13	huffman	huffman	PROPN
cana-619	159	14	coding	coding	NOUN
cana-619	159	15	method	method	NOUN
cana-619	159	16	for	for	ADP
cana-619	159	17	archiving	archive	VERB
cana-619	159	18	text	text	NOUN
cana-619	159	19	,	,	PUNCT
cana-619	159	20	images	image	NOUN
cana-619	159	21	,	,	PUNCT
cana-619	159	22	and	and	CCONJ
cana-619	159	23	music	music	NOUN
cana-619	159	24	characters	character	NOUN
cana-619	159	25	in	in	ADP
cana-619	159	26	dna	dna	PROPN
cana-619	159	27	,	,	PUNCT
cana-619	159	28	biotechniques	biotechnique	NOUN
cana-619	159	29	,	,	PUNCT
cana-619	159	30	47(3	47(3	NOUN
cana-619	159	31	)	)	PUNCT
cana-619	159	32	,	,	PUNCT
cana-619	159	33	2009	2009	NUM
cana-619	159	34	,	,	PUNCT
cana-619	159	35	747–754	747–754	NUM
cana-619	159	36	.	.	PUNCT
cana-619	160	1	[	[	X
cana-619	160	2	2	2	NUM
cana-619	160	3	]	]	PUNCT
cana-619	160	4	alahmadi	alahmadi	PROPN
cana-619	160	5	,	,	PUNCT
cana-619	160	6	adel	adel	PROPN
cana-619	160	7	dna	dna	PROPN
cana-619	160	8	codes	code	VERB
cana-619	160	9	over	over	ADP
cana-619	160	10	the	the	DET
cana-619	160	11	ring	ring	NOUN
cana-619	160	12	z4	z4	PROPN
cana-619	160	13	+	+	CCONJ
cana-619	160	14	wz4	wz4	NOUN
cana-619	160	15	,	,	PUNCT
cana-619	160	16	2021	2021	NUM
cana-619	160	17	.	.	PUNCT
cana-619	161	1	arxiv	arxiv	PROPN
cana-619	161	2	preprint	preprint	PROPN
cana-619	161	3	arxiv:2110.09089	arxiv:2110.09089	NOUN
cana-619	161	4	.	.	PUNCT
cana-619	162	1	[	[	X
cana-619	162	2	3	3	NUM
cana-619	162	3	]	]	X
cana-619	162	4	anderson	anderson	PROPN
cana-619	162	5	,	,	PUNCT
cana-619	162	6	d.	d.	PROPN
cana-619	162	7	f.	f.	PROPN
cana-619	162	8	and	and	CCONJ
cana-619	162	9	livingston	livingston	PROPN
cana-619	162	10	,	,	PUNCT
cana-619	162	11	p.	p.	PROPN
cana-619	162	12	s.	s.	PROPN
cana-619	162	13	,	,	PUNCT
cana-619	162	14	the	the	DET
cana-619	162	15	zero	zero	NUM
cana-619	162	16	-	-	PUNCT
cana-619	162	17	divisor	divisor	NOUN
cana-619	162	18	graph	graph	NOUN
cana-619	162	19	of	of	ADP
cana-619	162	20	a	a	DET
cana-619	162	21	commutative	commutative	ADJ
cana-619	162	22	ring	ring	NOUN
cana-619	162	23	,	,	PUNCT
cana-619	162	24	internationaljournal	internationaljournal	ADJ
cana-619	162	25	of	of	ADP
cana-619	162	26	commutative	commutative	ADJ
cana-619	162	27	ring	ring	NOUN
cana-619	162	28	,	,	PUNCT
cana-619	162	29	vol.2	vol.2	PROPN
cana-619	162	30	,	,	PUNCT
cana-619	162	31	2002	2002	NUM
cana-619	162	32	,	,	PUNCT
cana-619	162	33	203	203	NUM
cana-619	162	34	-	-	SYM
cana-619	162	35	211	211	NUM
cana-619	162	36	.	.	PUNCT
cana-619	163	1	[	[	X
cana-619	163	2	4	4	NUM
cana-619	163	3	]	]	SYM
cana-619	163	4	beck.i	beck.i	X
cana-619	163	5	,	,	PUNCT
cana-619	163	6	coloring	coloring	NOUN
cana-619	163	7	of	of	ADP
cana-619	163	8	commutative	commutative	ADJ
cana-619	163	9	rings	ring	NOUN
cana-619	163	10	,	,	PUNCT
cana-619	163	11	journal	journal	NOUN
cana-619	163	12	of	of	ADP
cana-619	163	13	algebra	algebra	PROPN
cana-619	163	14	,	,	PUNCT
cana-619	163	15	vol.1	vol.1	PROPN
cana-619	163	16	,	,	PUNCT
cana-619	163	17	1988	1988	NUM
cana-619	163	18	,	,	PUNCT
cana-619	163	19	56	56	NUM
cana-619	163	20	-	-	SYM
cana-619	163	21	57	57	NUM
cana-619	163	22	.	.	PUNCT
cana-619	164	1	[	[	X
cana-619	164	2	5	5	NUM
cana-619	164	3	]	]	PUNCT
cana-619	164	4	d’yachkov	d’yachkov	PROPN
cana-619	164	5	,	,	PUNCT
cana-619	164	6	a.g	a.g	PROPN
cana-619	164	7	.	.	PROPN
cana-619	164	8	,	,	PUNCT
cana-619	164	9	vilenkin	vilenkin	PROPN
cana-619	164	10	,	,	PUNCT
cana-619	164	11	p.a	p.a	PROPN
cana-619	164	12	.	.	PROPN
cana-619	164	13	,	,	PUNCT
cana-619	164	14	ismagilov	ismagilov	PROPN
cana-619	164	15	,	,	PUNCT
cana-619	164	16	i.n.k.e	i.n.k.e	PROPN
cana-619	164	17	.	.	PROPN
cana-619	164	18	,	,	PUNCT
cana-619	164	19	sarbaev	sarbaev	PROPN
cana-619	164	20	,	,	PUNCT
cana-619	164	21	r.s	r.s	PROPN
cana-619	164	22	.	.	PROPN
cana-619	164	23	,	,	PUNCT
cana-619	164	24	macula	macula	NOUN
cana-619	164	25	,	,	PUNCT
cana-619	164	26	a.	a.	NOUN
cana-619	164	27	,	,	PUNCT
cana-619	164	28	torney	torney	PROPN
cana-619	164	29	,	,	PUNCT
cana-619	164	30	d.	d.	PROPN
cana-619	164	31	and	and	CCONJ
cana-619	164	32	white	white	ADJ
cana-619	164	33	,	,	PUNCT
cana-619	164	34	s	s	VERB
cana-619	164	35	on	on	ADP
cana-619	164	36	dna	dna	PROPN
cana-619	164	37	codes	code	NOUN
cana-619	164	38	,	,	PUNCT
cana-619	164	39	problems	problem	NOUN
cana-619	164	40	of	of	ADP
cana-619	164	41	information	information	NOUN
cana-619	164	42	transmission	transmission	NOUN
cana-619	164	43	,	,	PUNCT
cana-619	164	44	vol.41	vol.41	NOUN
cana-619	164	45	,	,	PUNCT
cana-619	164	46	2005	2005	NUM
cana-619	164	47	,	,	PUNCT
cana-619	164	48	pp.349	pp.349	NOUN
cana-619	164	49	-	-	PUNCT
cana-619	164	50	367	367	NUM
cana-619	164	51	.	.	PUNCT
cana-619	165	1	[	[	X
cana-619	165	2	6	6	NUM
cana-619	165	3	]	]	PUNCT
cana-619	165	4	k.	k.	PROPN
cana-619	165	5	guenda	guenda	PROPN
cana-619	165	6	and	and	CCONJ
cana-619	165	7	t.	t.	NOUN
cana-619	165	8	a.	a.	NOUN
cana-619	165	9	gulliver	gulliver	PROPN
cana-619	165	10	construction	construction	NOUN
cana-619	165	11	of	of	ADP
cana-619	165	12	cyclic	cyclic	ADJ
cana-619	165	13	codes	code	NOUN
cana-619	165	14	over	over	ADP
cana-619	165	15	f2	f2	PROPN
cana-619	165	16	+	+	CCONJ
cana-619	165	17	uf2	uf2	NOUN
cana-619	165	18	for	for	ADP
cana-619	165	19	dna	dna	PROPN
cana-619	165	20	computing	computing	NOUN
cana-619	165	21	,	,	PUNCT
cana-619	165	22	applicable	applicable	ADJ
cana-619	165	23	algebra	algebra	NOUN
cana-619	165	24	in	in	ADP
cana-619	165	25	engineering	engineering	NOUN
cana-619	165	26	,	,	PUNCT
cana-619	165	27	communication	communication	NOUN
cana-619	165	28	and	and	CCONJ
cana-619	165	29	computing	computing	NOUN
cana-619	165	30	,	,	PUNCT
cana-619	165	31	vol.24(6	vol.24(6	PROPN
cana-619	165	32	)	)	PUNCT
cana-619	165	33	,	,	PUNCT
cana-619	165	34	2013	2013	NUM
cana-619	165	35	,	,	PUNCT
cana-619	165	36	pp.445–459	pp.445–459	NOUN
cana-619	165	37	.	.	PUNCT
cana-619	166	1	[	[	X
cana-619	166	2	7	7	X
cana-619	166	3	]	]	X
cana-619	166	4	h.	h.	PROPN
cana-619	166	5	hong	hong	PROPN
cana-619	166	6	,	,	PUNCT
cana-619	166	7	l.	l.	PROPN
cana-619	166	8	wang	wang	PROPN
cana-619	166	9	,	,	PUNCT
cana-619	166	10	h.	h.	PROPN
cana-619	166	11	ahmad	ahmad	PROPN
cana-619	166	12	,	,	PUNCT
cana-619	166	13	j.	j.	PROPN
cana-619	166	14	li	li	PROPN
cana-619	166	15	,	,	PUNCT
cana-619	166	16	y.	y.	PROPN
cana-619	166	17	yang	yang	PROPN
cana-619	166	18	,	,	PUNCT
cana-619	166	19	and	and	CCONJ
cana-619	166	20	c.	c.	PROPN
cana-619	166	21	wu	wu	PROPN
cana-619	166	22	construction	construction	NOUN
cana-619	166	23	of	of	ADP
cana-619	166	24	dna	dna	PROPN
cana-619	166	25	codes	code	NOUN
cana-619	166	26	by	by	ADP
cana-619	166	27	using	use	VERB
cana-619	166	28	algebraic	algebraic	ADJ
cana-619	166	29	number	number	NOUN
cana-619	166	30	communications	communication	NOUN
cana-619	166	31	on	on	ADP
cana-619	166	32	applied	apply	VERB
cana-619	166	33	nonlinear	nonlinear	ADJ
cana-619	166	34	analysis	analysis	NOUN
cana-619	166	35	issn	issn	NOUN
cana-619	166	36	:	:	PUNCT
cana-619	166	37	1074	1074	NUM
cana-619	166	38	-	-	PUNCT
cana-619	166	39	133x	133x	NUM
cana-619	166	40	vol	vol	NOUN
cana-619	166	41	31	31	NUM
cana-619	166	42	no	no	NOUN
cana-619	166	43	.	.	PUNCT
cana-619	167	1	2s	2s	NUM
cana-619	167	2	(	(	PUNCT
cana-619	167	3	2024	2024	NUM
cana-619	167	4	)	)	PUNCT
cana-619	167	5	185	185	NUM
cana-619	167	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-619	167	7	theory	theory	NOUN
cana-619	167	8	,	,	PUNCT
cana-619	167	9	finite	finite	ADJ
cana-619	167	10	fields	field	NOUN
cana-619	167	11	and	and	CCONJ
cana-619	167	12	their	their	PRON
cana-619	167	13	applications	application	NOUN
cana-619	167	14	,	,	PUNCT
cana-619	167	15	vol.37	vol.37	VERB
cana-619	167	16	,	,	PUNCT
cana-619	167	17	2016	2016	NUM
cana-619	167	18	,	,	PUNCT
cana-619	167	19	pp.328–343	pp.328–343	NOUN
cana-619	167	20	.	.	PUNCT
cana-619	168	1	[	[	X
cana-619	168	2	8	8	NUM
cana-619	168	3	]	]	X
cana-619	168	4	karri	karri	PROPN
cana-619	168	5	,	,	PUNCT
cana-619	168	6	ramesh	ramesh	PROPN
cana-619	168	7	,	,	PUNCT
cana-619	168	8	grigori	grigori	PROPN
cana-619	168	9	kuznetsov	kuznetsov	PROPN
cana-619	168	10	,	,	PUNCT
cana-619	168	11	and	and	CCONJ
cana-619	168	12	michael	michael	PROPN
cana-619	168	13	goessel	goessel	PROPN
cana-619	168	14	parity	parity	NOUN
cana-619	168	15	-	-	PUNCT
cana-619	168	16	based	base	VERB
cana-619	168	17	concurrent	concurrent	ADJ
cana-619	168	18	error	error	NOUN
cana-619	168	19	detection	detection	NOUN
cana-619	168	20	of	of	ADP
cana-619	168	21	substitutionpermutation	substitutionpermutation	NOUN
cana-619	168	22	network	network	NOUN
cana-619	168	23	block	block	NOUN
cana-619	168	24	ciphers	cipher	NOUN
cana-619	168	25	,	,	PUNCT
cana-619	168	26	proceedings	proceeding	NOUN
cana-619	168	27	springer	springer	PROPN
cana-619	168	28	berlin	berlin	PROPN
cana-619	168	29	heidelberg	heidelberg	PROPN
cana-619	168	30	,	,	PUNCT
cana-619	168	31	2003	2003	NUM
cana-619	168	32	.	.	PUNCT
cana-619	169	1	[	[	X
cana-619	169	2	9	9	NUM
cana-619	169	3	]	]	X
cana-619	169	4	kim	kim	PROPN
cana-619	169	5	,	,	PUNCT
cana-619	169	6	jon	jon	NOUN
cana-619	169	7	-	-	PUNCT
cana-619	169	8	lark	lark	NOUN
cana-619	169	9	,	,	PUNCT
cana-619	169	10	and	and	CCONJ
cana-619	169	11	dong	dong	PROPN
cana-619	169	12	eun	eun	PROPN
cana-619	169	13	ohk	ohk	PROPN
cana-619	169	14	dna	dna	PROPN
cana-619	169	15	codes	code	VERB
cana-619	169	16	over	over	ADP
cana-619	169	17	two	two	NUM
cana-619	169	18	noncommutative	noncommutative	ADJ
cana-619	169	19	rings	ring	NOUN
cana-619	169	20	of	of	ADP
cana-619	169	21	order	order	NOUN
cana-619	169	22	four	four	NUM
cana-619	169	23	,	,	PUNCT
cana-619	169	24	journal	journal	NOUN
cana-619	169	25	of	of	ADP
cana-619	169	26	applied	apply	VERB
cana-619	169	27	mathematics	mathematic	NOUN
cana-619	169	28	and	and	CCONJ
cana-619	169	29	computing	computing	NOUN
cana-619	169	30	,	,	PUNCT
cana-619	169	31	vol.68(3	vol.68(3	NOUN
cana-619	169	32	)	)	PUNCT
cana-619	169	33	,	,	PUNCT
cana-619	169	34	2022	2022	NUM
cana-619	169	35	,	,	PUNCT
cana-619	169	36	pp.2015	pp.2015	PROPN
cana-619	169	37	-	-	PUNCT
cana-619	169	38	2038	2038	NUM
cana-619	169	39	.	.	PUNCT
cana-619	170	1	[	[	X
cana-619	170	2	10	10	NUM
cana-619	170	3	]	]	X
cana-619	170	4	kurtz.a	kurtz.a	PROPN
cana-619	170	5	,	,	PUNCT
cana-619	170	6	deterministic	deterministic	ADJ
cana-619	170	7	and	and	CCONJ
cana-619	170	8	nondeterministic	nondeterministic	ADJ
cana-619	170	9	graphs	graph	NOUN
cana-619	170	10	,	,	PUNCT
cana-619	170	11	journal	journal	NOUN
cana-619	170	12	of	of	ADP
cana-619	170	13	information	information	NOUN
cana-619	170	14	and	and	CCONJ
cana-619	170	15	control	control	NOUN
cana-619	170	16	,	,	PUNCT
cana-619	170	17	vol.22	vol.22	NOUN
cana-619	170	18	,	,	PUNCT
cana-619	170	19	1973	1973	NUM
cana-619	170	20	,	,	PUNCT
cana-619	170	21	205	205	NUM
cana-619	170	22	-	-	SYM
cana-619	170	23	226	226	NUM
cana-619	170	24	.	.	PUNCT
cana-619	171	1	[	[	X
cana-619	171	2	11	11	NUM
cana-619	171	3	]	]	PUNCT
cana-619	171	4	a.	a.	NOUN
cana-619	171	5	lenz	lenz	PROPN
cana-619	171	6	,	,	PUNCT
cana-619	171	7	p.	p.	PROPN
cana-619	171	8	h.	h.	PROPN
cana-619	171	9	siegel	siegel	PROPN
cana-619	171	10	,	,	PUNCT
cana-619	171	11	a.	a.	PROPN
cana-619	171	12	wachter	wachter	PROPN
cana-619	171	13	-	-	PUNCT
cana-619	171	14	zeh	zeh	PROPN
cana-619	171	15	,	,	PUNCT
cana-619	171	16	and	and	CCONJ
cana-619	171	17	e.	e.	PROPN
cana-619	171	18	yaakobi	yaakobi	PROPN
cana-619	171	19	coding	code	VERB
cana-619	171	20	over	over	ADP
cana-619	171	21	sets	set	NOUN
cana-619	171	22	for	for	ADP
cana-619	171	23	dna	dna	NOUN
cana-619	171	24	storage	storage	NOUN
cana-619	171	25	,	,	PUNCT
cana-619	171	26	in	in	ADP
cana-619	171	27	proceedings	proceeding	NOUN
cana-619	171	28	of	of	ADP
cana-619	171	29	ieee	ieee	PROPN
cana-619	171	30	international	international	ADJ
cana-619	171	31	symposium	symposium	NOUN
cana-619	171	32	on	on	ADP
cana-619	171	33	information	information	NOUN
cana-619	171	34	theory	theory	NOUN
cana-619	171	35	(	(	PUNCT
cana-619	171	36	isit	isit	PROPN
cana-619	171	37	)	)	PUNCT
cana-619	171	38	,	,	PUNCT
cana-619	171	39	2018	2018	NUM
cana-619	171	40	,	,	PUNCT
cana-619	171	41	pp	pp	ADJ
cana-619	171	42	.	.	PUNCT
cana-619	172	1	2411–2415	2411–2415	NUM
cana-619	172	2	.	.	PUNCT
cana-619	173	1	[	[	X
cana-619	173	2	12	12	NUM
cana-619	173	3	]	]	X
cana-619	173	4	limbachiya	limbachiya	NOUN
cana-619	173	5	,	,	PUNCT
cana-619	173	6	d.	d.	PROPN
cana-619	173	7	,	,	PUNCT
cana-619	173	8	benerjee	benerjee	PROPN
cana-619	173	9	,	,	PUNCT
cana-619	173	10	k.	k.	PROPN
cana-619	173	11	g.	g.	PROPN
cana-619	173	12	,	,	PUNCT
cana-619	173	13	rao	rao	PROPN
cana-619	173	14	,	,	PUNCT
cana-619	173	15	b.	b.	PROPN
cana-619	173	16	,	,	PUNCT
cana-619	173	17	gupta	gupta	PROPN
cana-619	173	18	,	,	PUNCT
cana-619	173	19	m.	m.	PROPN
cana-619	173	20	k.	k.	PROPN
cana-619	173	21	on	on	ADP
cana-619	173	22	dna	dna	PROPN
cana-619	173	23	codes	code	NOUN
cana-619	173	24	using	use	VERB
cana-619	173	25	the	the	DET
cana-619	173	26	ring	ring	NOUN
cana-619	173	27	z4	z4	NOUN
cana-619	173	28	+	+	CCONJ
cana-619	173	29	wz4	wz4	NOUN
cana-619	173	30	.	.	PUNCT
cana-619	174	1	in	in	ADP
cana-619	174	2	ieee	ieee	PROPN
cana-619	174	3	international	international	ADJ
cana-619	174	4	symposium	symposium	NOUN
cana-619	174	5	on	on	ADP
cana-619	174	6	information	information	NOUN
cana-619	174	7	theory	theory	NOUN
cana-619	174	8	,	,	PUNCT
cana-619	174	9	2018	2018	NUM
cana-619	174	10	,	,	PUNCT
cana-619	174	11	pp	pp	ADJ
cana-619	174	12	.	.	PUNCT
cana-619	175	1	2401	2401	NUM
cana-619	175	2	-	-	SYM
cana-619	175	3	2405	2405	NUM
cana-619	175	4	.	.	PUNCT
cana-619	176	1	[	[	X
cana-619	176	2	13	13	NUM
cana-619	176	3	]	]	X
cana-619	176	4	limbachiya	limbachiya	NOUN
cana-619	176	5	,	,	PUNCT
cana-619	176	6	dixita	dixita	PROPN
cana-619	176	7	on	on	ADP
cana-619	176	8	designing	design	VERB
cana-619	176	9	dna	dna	NOUN
cana-619	176	10	codes	code	NOUN
cana-619	176	11	and	and	CCONJ
cana-619	176	12	their	their	PRON
cana-619	176	13	applications	application	NOUN
cana-619	176	14	,	,	PUNCT
cana-619	176	15	institute	institute	NOUN
cana-619	176	16	of	of	ADP
cana-619	176	17	information	information	NOUN
cana-619	176	18	and	and	CCONJ
cana-619	176	19	communication	communication	NOUN
cana-619	176	20	technology	technology	NOUN
cana-619	176	21	,	,	PUNCT
cana-619	176	22	2019	2019	NUM
cana-619	176	23	.	.	PUNCT
cana-619	177	1	[	[	X
cana-619	177	2	14	14	NUM
cana-619	177	3	]	]	X
cana-619	177	4	limbachiya	limbachiya	NOUN
cana-619	177	5	,	,	PUNCT
cana-619	177	6	d.	d.	PROPN
cana-619	177	7	,	,	PUNCT
cana-619	177	8	rao	rao	PROPN
cana-619	177	9	,	,	PUNCT
cana-619	177	10	b.	b.	PROPN
cana-619	177	11	and	and	CCONJ
cana-619	177	12	gupta	gupta	PROPN
cana-619	177	13	,	,	PUNCT
cana-619	177	14	m.k	m.k	PROPN
cana-619	177	15	.	.	PROPN
cana-619	177	16	,	,	PUNCT
cana-619	177	17	the	the	DET
cana-619	177	18	art	art	NOUN
cana-619	177	19	of	of	ADP
cana-619	177	20	dna	dna	PROPN
cana-619	177	21	strings	string	NOUN
cana-619	177	22	sixteen	sixteen	NUM
cana-619	177	23	years	year	NOUN
cana-619	177	24	of	of	ADP
cana-619	177	25	dna	dna	PROPN
cana-619	177	26	coding	code	VERB
cana-619	177	27	theory	theory	NOUN
cana-619	177	28	,	,	PUNCT
cana-619	177	29	2016	2016	NUM
cana-619	177	30	.	.	PUNCT
cana-619	178	1	arxiv	arxiv	PROPN
cana-619	178	2	preprint	preprint	NOUN
cana-619	178	3	arxiv:1607.00266	arxiv:1607.00266	NOUN
cana-619	178	4	.	.	PUNCT
cana-619	179	1	[	[	X
cana-619	179	2	15	15	NUM
cana-619	179	3	]	]	X
cana-619	179	4	rankin	rankin	PROPN
cana-619	179	5	,	,	PUNCT
cana-619	179	6	david	david	PROPN
cana-619	179	7	m.	m.	PROPN
cana-619	179	8	,	,	PUNCT
cana-619	179	9	and	and	CCONJ
cana-619	179	10	t.	t.	PROPN
cana-619	179	11	aaron	aaron	PROPN
cana-619	179	12	gulliver	gulliver	VERB
cana-619	179	13	single	single	ADJ
cana-619	179	14	parity	parity	NOUN
cana-619	179	15	check	check	NOUN
cana-619	179	16	product	product	NOUN
cana-619	179	17	codes	code	NOUN
cana-619	179	18	,	,	PUNCT
cana-619	179	19	ieee	ieee	NOUN
cana-619	179	20	transactions	transaction	NOUN
cana-619	179	21	on	on	ADP
cana-619	179	22	communications	communication	NOUN
cana-619	179	23	vol.49(8	vol.49(8	PROPN
cana-619	179	24	)	)	PUNCT
cana-619	179	25	,	,	PUNCT
cana-619	179	26	2021	2021	NUM
cana-619	179	27	,	,	PUNCT
cana-619	179	28	pp.1354	pp.1354	PROPN
cana-619	179	29	-	-	PUNCT
cana-619	179	30	1362	1362	NUM
cana-619	179	31	.	.	PUNCT
cana-619	180	1	[	[	X
cana-619	180	2	16	16	NUM
cana-619	180	3	]	]	PUNCT
cana-619	180	4	redmond	redmond	PROPN
cana-619	180	5	s.p	s.p	PROPN
cana-619	180	6	,	,	PUNCT
cana-619	180	7	the	the	DET
cana-619	180	8	zerodivisor	zerodivisor	NOUN
cana-619	180	9	graph	graph	NOUN
cana-619	180	10	of	of	ADP
cana-619	180	11	a	a	DET
cana-619	180	12	noncommutative	noncommutative	ADJ
cana-619	180	13	ring	ring	NOUN
cana-619	180	14	,	,	PUNCT
cana-619	180	15	international	international	ADJ
cana-619	180	16	journal	journal	NOUN
cana-619	180	17	of	of	ADP
cana-619	180	18	commutative	commutative	ADJ
cana-619	180	19	ring	ring	NOUN
cana-619	180	20	,	,	PUNCT
cana-619	180	21	vol.1	vol.1	PROPN
cana-619	180	22	,	,	PUNCT
cana-619	180	23	2002	2002	NUM
cana-619	180	24	,	,	PUNCT
cana-619	180	25	203	203	NUM
cana-619	180	26	-	-	SYM
cana-619	180	27	211	211	NUM
cana-619	180	28	.	.	PUNCT
cana-619	181	1	[	[	X
cana-619	181	2	17	17	NUM
cana-619	181	3	]	]	AUX
cana-619	181	4	shakila	shakila	VERB
cana-619	181	5	banu	banu	NOUN
cana-619	181	6	.p	.p	NOUN
cana-619	181	7	and	and	CCONJ
cana-619	181	8	naveena	naveena	NOUN
cana-619	181	9	.s	.s	PROPN
cana-619	182	1	non	non	ADJ
cana-619	182	2	deterministic	deterministic	ADJ
cana-619	182	3	zero	zero	NUM
cana-619	182	4	divisor	divisor	NOUN
cana-619	182	5	graph	graph	NOUN
cana-619	182	6	,	,	PUNCT
cana-619	182	7	ratio	ratio	NOUN
cana-619	182	8	mathematica	mathematica	PROPN
cana-619	182	9	,	,	PUNCT
cana-619	182	10	vol.48	vol.48	PROPN
cana-619	182	11	,	,	PUNCT
cana-619	182	12	2023	2023	NUM
cana-619	182	13	,	,	PUNCT
cana-619	182	14	pp.222	pp.222	PROPN
cana-619	182	15	–	–	PUNCT
cana-619	182	16	230	230	NUM
cana-619	182	17	.	.	PUNCT
cana-619	183	1	[	[	X
cana-619	183	2	18	18	NUM
cana-619	183	3	]	]	PUNCT
cana-619	183	4	sultana	sultana	NOUN
cana-619	183	5	,	,	PUNCT
cana-619	183	6	z.	z.	PROPN
cana-619	183	7	,	,	PUNCT
cana-619	183	8	nahar	nahar	PROPN
cana-619	183	9	,	,	PUNCT
cana-619	183	10	l.	l.	PROPN
cana-619	183	11	,	,	PUNCT
cana-619	183	12	tasnim	tasnim	NOUN
cana-619	183	13	,	,	PUNCT
cana-619	183	14	f.	f.	PROPN
cana-619	183	15	,	,	PUNCT
cana-619	183	16	hossain	hossain	PROPN
cana-619	183	17	,	,	PUNCT
cana-619	183	18	m.	m.	PROPN
cana-619	183	19	s.	s.	PROPN
cana-619	183	20	,	,	PUNCT
cana-619	183	21	andersson	andersson	PROPN
cana-619	183	22	.k	.k	PROPN
cana-619	183	23	.	.	PUNCT
cana-619	184	1	an	an	DET
cana-619	184	2	encoding	encoding	NOUN
cana-619	184	3	and	and	CCONJ
cana-619	184	4	decoding	decode	VERB
cana-619	184	5	technique	technique	NOUN
cana-619	184	6	to	to	PART
cana-619	184	7	compress	compress	VERB
cana-619	184	8	huffman	huffman	PROPN
cana-619	184	9	tree	tree	NOUN
cana-619	184	10	size	size	NOUN
cana-619	184	11	in	in	ADP
cana-619	184	12	an	an	DET
cana-619	184	13	efficient	efficient	ADJ
cana-619	184	14	manner	manner	NOUN
cana-619	184	15	in	in	ADP
cana-619	184	16	international	international	ADJ
cana-619	184	17	conference	conference	NOUN
cana-619	184	18	on	on	ADP
cana-619	184	19	intelligent	intelligent	ADJ
cana-619	184	20	computing	computing	NOUN
cana-619	184	21	optimization	optimization	NOUN
cana-619	184	22	,	,	PUNCT
cana-619	184	23	2022	2022	NUM
cana-619	184	24	,	,	PUNCT
cana-619	184	25	pp	pp	ADJ
cana-619	184	26	.	.	PUNCT
cana-619	184	27	863	863	NUM
cana-619	184	28	-	-	SYM
cana-619	184	29	873	873	NUM
cana-619	184	30	.	.	PUNCT
cana-619	185	1	[	[	X
cana-619	185	2	19	19	NUM
cana-619	185	3	]	]	X
cana-619	185	4	v.	v.	PROPN
cana-619	185	5	g.	g.	PROPN
cana-619	185	6	vidhyaa	vidhyaa	PROPN
cana-619	185	7	,	,	PUNCT
cana-619	185	8	s.	s.	PROPN
cana-619	185	9	a.	a.	NOUN
cana-619	185	10	rajalakshmi	rajalakshmi	PROPN
cana-619	185	11	,	,	PUNCT
cana-619	185	12	r.	r.	PROPN
cana-619	185	13	raghavan	raghavan	PROPN
cana-619	185	14	,	,	PUNCT
cana-619	185	15	g.	g.	PROPN
cana-619	185	16	s.	s.	PROPN
cana-619	185	17	v.	v.	PROPN
cana-619	185	18	venu	venu	PROPN
cana-619	185	19	gopal	gopal	PROPN
cana-619	185	20	and	and	CCONJ
cana-619	185	21	r.	r.	PROPN
cana-619	185	22	gandhiraj	gandhiraj	PROPN
cana-619	185	23	huffman	huffman	PROPN
cana-619	185	24	encoding	encoding	PROPN
cana-619	185	25	and	and	CCONJ
cana-619	185	26	decoding	decode	VERB
cana-619	185	27	algorithm	algorithm	NOUN
cana-619	185	28	using	use	VERB
cana-619	185	29	ijulia	ijulia	NOUN
cana-619	185	30	,	,	PUNCT
cana-619	185	31	international	international	ADJ
cana-619	185	32	conference	conference	NOUN
cana-619	185	33	on	on	ADP
cana-619	185	34	communication	communication	NOUN
cana-619	185	35	and	and	CCONJ
cana-619	185	36	signal	signal	NOUN
cana-619	185	37	processing	processing	NOUN
cana-619	185	38	(	(	PUNCT
cana-619	185	39	iccsp	iccsp	PROPN
cana-619	185	40	)	)	PUNCT
cana-619	185	41	,	,	PUNCT
cana-619	185	42	2016	2016	NUM
cana-619	185	43	,	,	PUNCT
cana-619	185	44	pp	pp	ADJ
cana-619	185	45	.	.	PUNCT
cana-619	185	46	0587	0587	NUM
cana-619	185	47	-	-	SYM
cana-619	185	48	0591	0591	NUM
cana-619	185	49	.	.	PUNCT
cana-619	186	1	doi	doi	NOUN
cana-619	186	2	:	:	PUNCT
cana-619	186	3	10.1109	10.1109	NUM
cana-619	186	4	/	/	SYM
cana-619	186	5	iccsp.2016.7754207	iccsp.2016.7754207	NOUN
cana-619	186	6	.	.	PUNCT