id	sid	tid	token	lemma	pos
cana-1246	1	1	communications	communication	NOUN
cana-1246	1	2	on	on	ADP
cana-1246	1	3	applied	apply	VERB
cana-1246	1	4	nonlinear	nonlinear	ADJ
cana-1246	1	5	analysis	analysis	NOUN
cana-1246	1	6	issn	issn	NOUN
cana-1246	1	7	:	:	PUNCT
cana-1246	1	8	1074	1074	NUM
cana-1246	1	9	-	-	PUNCT
cana-1246	1	10	133x	133x	NUM
cana-1246	1	11	vol	vol	NOUN
cana-1246	1	12	31	31	NUM
cana-1246	1	13	no	no	NOUN
cana-1246	1	14	.	.	PUNCT
cana-1246	2	1	6s	6s	NUM
cana-1246	2	2	(	(	PUNCT
cana-1246	2	3	2024	2024	NUM
cana-1246	2	4	)	)	PUNCT
cana-1246	2	5	592	592	NUM
cana-1246	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1246	2	7	multi	multi	ADJ
cana-1246	2	8	-	-	ADJ
cana-1246	2	9	party	party	ADJ
cana-1246	2	10	key	key	ADJ
cana-1246	2	11	agreement	agreement	NOUN
cana-1246	2	12	protocols	protocol	NOUN
cana-1246	2	13	using	use	VERB
cana-1246	2	14	conjugacy	conjugacy	ADJ
cana-1246	2	15	search	search	NOUN
cana-1246	2	16	problem	problem	NOUN
cana-1246	2	17	in	in	ADP
cana-1246	2	18	five	five	NUM
cana-1246	2	19	dimensional	dimensional	ADJ
cana-1246	2	20	discrete	discrete	ADJ
cana-1246	2	21	heisenberg	heisenberg	PROPN
cana-1246	2	22	group	group	PROPN
cana-1246	2	23	n.	n.	PROPN
cana-1246	2	24	sundarakannan1	sundarakannan1	PROPN
cana-1246	2	25	,	,	PUNCT
cana-1246	2	26	*	*	PUNCT
cana-1246	2	27	,	,	PUNCT
cana-1246	2	28	t.	t.	NOUN
cana-1246	2	29	isaiyarasi2	isaiyarasi2	PROPN
cana-1246	2	30	,	,	PUNCT
cana-1246	2	31	v.	v.	PROPN
cana-1246	2	32	nagarani3	nagarani3	PROPN
cana-1246	2	33	,	,	PUNCT
cana-1246	2	34	d.	d.	PROPN
cana-1246	2	35	captain	captain	PROPN
cana-1246	2	36	prabakaran4	prabakaran4	PROPN
cana-1246	2	37	,	,	PUNCT
cana-1246	2	38	m.h.a	m.h.a	PROPN
cana-1246	2	39	.	.	PUNCT
cana-1246	2	40	aysha	aysha	PROPN
cana-1246	2	41	chitukka5	chitukka5	PROPN
cana-1246	3	1	1	1	NUM
cana-1246	3	2	,	,	PUNCT
cana-1246	3	3	2	2	NUM
cana-1246	3	4	,	,	PUNCT
cana-1246	3	5	3,4	3,4	NUM
cana-1246	3	6	department	department	NOUN
cana-1246	3	7	of	of	ADP
cana-1246	3	8	mathematics	mathematic	NOUN
cana-1246	3	9	,	,	PUNCT
cana-1246	3	10	srm	srm	PROPN
cana-1246	3	11	valliammai	valliammai	ADJ
cana-1246	3	12	engineering	engineering	PROPN
cana-1246	3	13	college	college	PROPN
cana-1246	3	14	,	,	PUNCT
cana-1246	3	15	kattangulathur	kattangulathur	PROPN
cana-1246	3	16	,	,	PUNCT
cana-1246	3	17	chennai	chennai	NOUN
cana-1246	3	18	603	603	NUM
cana-1246	3	19	203	203	NUM
cana-1246	3	20	1	1	NUM
cana-1246	3	21	sundarakannann.maths@srmvalliammai.ac.in	sundarakannann.maths@srmvalliammai.ac.in	NUM
cana-1246	3	22	2	2	NUM
cana-1246	3	23	isaiyarasit.maths@srmvalliammai.ac.in	isaiyarasit.maths@srmvalliammai.ac.in	NUM
cana-1246	3	24	3nagaraniv.maths@srmvalliammai.ac.in	3nagaraniv.maths@srmvalliammai.ac.in	NUM
cana-1246	3	25	4captainprabakarand.maths@srmvalliammai.ac.in	4captainprabakarand.maths@srmvalliammai.ac.in	NUM
cana-1246	3	26	5ayshachitukkamha.maths@srmvalliammai.ac.in	5ayshachitukkamha.maths@srmvalliammai.ac.in	NUM
cana-1246	3	27	*	*	PUNCT
cana-1246	3	28	corresponding	correspond	VERB
cana-1246	3	29	author	author	NOUN
cana-1246	3	30	:	:	PUNCT
cana-1246	3	31	n.	n.	NOUN
cana-1246	3	32	sundarakannan	sundarakannan	NOUN
cana-1246	3	33	article	article	NOUN
cana-1246	3	34	history	history	NOUN
cana-1246	3	35	:	:	PUNCT
cana-1246	3	36	received	receive	VERB
cana-1246	3	37	:	:	PUNCT
cana-1246	3	38	18	18	NUM
cana-1246	3	39	-	-	SYM
cana-1246	3	40	06	06	NUM
cana-1246	3	41	-	-	PUNCT
cana-1246	3	42	2024	2024	NUM
cana-1246	3	43	revised	revise	VERB
cana-1246	3	44	:	:	PUNCT
cana-1246	3	45	27	27	NUM
cana-1246	3	46	-	-	SYM
cana-1246	3	47	07	07	NUM
cana-1246	3	48	-	-	PUNCT
cana-1246	3	49	2024	2024	NUM
cana-1246	3	50	accepted	accept	VERB
cana-1246	3	51	:	:	PUNCT
cana-1246	3	52	08	08	NUM
cana-1246	3	53	-	-	SYM
cana-1246	3	54	08	08	NUM
cana-1246	3	55	-	-	PUNCT
cana-1246	3	56	2024	2024	NUM
cana-1246	3	57	abstract	abstract	NOUN
cana-1246	3	58	:	:	PUNCT
cana-1246	3	59	the	the	DET
cana-1246	3	60	secrete	secrete	ADJ
cana-1246	3	61	way	way	NOUN
cana-1246	3	62	of	of	ADP
cana-1246	3	63	communicating	communicate	VERB
cana-1246	3	64	information	information	NOUN
cana-1246	3	65	between	between	ADP
cana-1246	3	66	entities	entity	NOUN
cana-1246	3	67	is	be	AUX
cana-1246	3	68	the	the	DET
cana-1246	3	69	science	science	NOUN
cana-1246	3	70	known	know	VERB
cana-1246	3	71	as	as	ADP
cana-1246	3	72	cryptography	cryptography	NOUN
cana-1246	3	73	.	.	PUNCT
cana-1246	4	1	in	in	ADP
cana-1246	4	2	order	order	NOUN
cana-1246	4	3	to	to	PART
cana-1246	4	4	communicate	communicate	VERB
cana-1246	4	5	the	the	DET
cana-1246	4	6	message	message	NOUN
cana-1246	4	7	through	through	ADP
cana-1246	4	8	an	an	DET
cana-1246	4	9	insecure	insecure	ADJ
cana-1246	4	10	medium	medium	NOUN
cana-1246	4	11	the	the	DET
cana-1246	4	12	communicating	communicate	VERB
cana-1246	4	13	entities	entity	NOUN
cana-1246	4	14	need	need	VERB
cana-1246	4	15	a	a	DET
cana-1246	4	16	cryptographic	cryptographic	ADJ
cana-1246	4	17	keys	key	NOUN
cana-1246	4	18	.	.	PUNCT
cana-1246	5	1	the	the	DET
cana-1246	5	2	process	process	NOUN
cana-1246	5	3	of	of	ADP
cana-1246	5	4	getting	get	VERB
cana-1246	5	5	a	a	DET
cana-1246	5	6	common	common	ADJ
cana-1246	5	7	shared	share	VERB
cana-1246	5	8	key	key	NOUN
cana-1246	5	9	is	be	AUX
cana-1246	5	10	the	the	DET
cana-1246	5	11	key	key	ADJ
cana-1246	5	12	agreement	agreement	NOUN
cana-1246	5	13	protocol	protocol	NOUN
cana-1246	5	14	.	.	PUNCT
cana-1246	6	1	this	this	DET
cana-1246	6	2	paper	paper	NOUN
cana-1246	6	3	proposes	propose	VERB
cana-1246	6	4	a	a	DET
cana-1246	6	5	multi	multi	ADJ
cana-1246	6	6	party	party	NOUN
cana-1246	6	7	key	key	NOUN
cana-1246	6	8	agreement	agreement	NOUN
cana-1246	6	9	protocol	protocol	NOUN
cana-1246	6	10	which	which	PRON
cana-1246	6	11	provides	provide	VERB
cana-1246	6	12	a	a	DET
cana-1246	6	13	common	common	ADJ
cana-1246	6	14	key	key	NOUN
cana-1246	6	15	between	between	ADP
cana-1246	6	16	the	the	DET
cana-1246	6	17	communicating	communicate	VERB
cana-1246	6	18	parties	party	NOUN
cana-1246	6	19	using	use	VERB
cana-1246	6	20	conjugacy	conjugacy	ADJ
cana-1246	6	21	search	search	NOUN
cana-1246	6	22	problem	problem	NOUN
cana-1246	6	23	(	(	PUNCT
cana-1246	6	24	csp	csp	PROPN
cana-1246	6	25	)	)	PUNCT
cana-1246	6	26	.	.	PUNCT
cana-1246	7	1	to	to	PART
cana-1246	7	2	implement	implement	VERB
cana-1246	7	3	this	this	DET
cana-1246	7	4	protocol	protocol	NOUN
cana-1246	7	5	a	a	DET
cana-1246	7	6	platform	platform	NOUN
cana-1246	7	7	group	group	NOUN
cana-1246	7	8	is	be	AUX
cana-1246	7	9	required	require	VERB
cana-1246	7	10	.	.	PUNCT
cana-1246	8	1	the	the	DET
cana-1246	8	2	five	five	NUM
cana-1246	8	3	dimensional	dimensional	ADJ
cana-1246	8	4	discrete	discrete	ADJ
cana-1246	8	5	heisenberg	heisenberg	PROPN
cana-1246	8	6	group(dhg	group(dhg	PROPN
cana-1246	8	7	)	)	PUNCT
cana-1246	8	8	is	be	AUX
cana-1246	8	9	chosen	choose	VERB
cana-1246	8	10	as	as	SCONJ
cana-1246	8	11	the	the	DET
cana-1246	8	12	platform	platform	NOUN
cana-1246	8	13	group	group	NOUN
cana-1246	8	14	and	and	CCONJ
cana-1246	8	15	the	the	DET
cana-1246	8	16	conjugacy	conjugacy	PROPN
cana-1246	8	17	search	search	NOUN
cana-1246	8	18	problem	problem	NOUN
cana-1246	8	19	(	(	PUNCT
cana-1246	8	20	csp	csp	PROPN
cana-1246	8	21	)	)	PUNCT
cana-1246	8	22	taken	take	VERB
cana-1246	8	23	from	from	ADP
cana-1246	8	24	combinatorial	combinatorial	ADJ
cana-1246	8	25	group	group	NOUN
cana-1246	8	26	theory	theory	NOUN
cana-1246	8	27	acts	act	VERB
cana-1246	8	28	as	as	ADP
cana-1246	8	29	the	the	DET
cana-1246	8	30	one	one	NUM
cana-1246	8	31	way	way	NOUN
cana-1246	8	32	function	function	NOUN
cana-1246	8	33	.	.	PUNCT
cana-1246	9	1	as	as	ADP
cana-1246	9	2	a	a	DET
cana-1246	9	3	particular	particular	ADJ
cana-1246	9	4	case	case	NOUN
cana-1246	9	5	a	a	DET
cana-1246	9	6	five	five	NUM
cana-1246	9	7	party	party	NOUN
cana-1246	9	8	kap	kap	NOUN
cana-1246	9	9	with	with	ADP
cana-1246	9	10	numerical	numerical	ADJ
cana-1246	9	11	computation	computation	NOUN
cana-1246	9	12	is	be	AUX
cana-1246	9	13	provided	provide	VERB
cana-1246	9	14	.	.	PUNCT
cana-1246	10	1	in	in	ADP
cana-1246	10	2	general	general	ADJ
cana-1246	10	3	,	,	PUNCT
cana-1246	10	4	multiparty	multiparty	PROPN
cana-1246	10	5	csp	csp	PROPN
cana-1246	10	6	with	with	ADP
cana-1246	10	7	k	k	PROPN
cana-1246	10	8	communicating	communicate	VERB
cana-1246	10	9	parties	party	NOUN
cana-1246	10	10	can	can	AUX
cana-1246	10	11	get	get	VERB
cana-1246	10	12	a	a	DET
cana-1246	10	13	common	common	ADJ
cana-1246	10	14	key	key	NOUN
cana-1246	10	15	in	in	ADP
cana-1246	10	16	k-1	k-1	PROPN
cana-1246	10	17	rounds	rounds	PROPN
cana-1246	10	18	.	.	PUNCT
cana-1246	11	1	keywords	keyword	NOUN
cana-1246	11	2	:	:	PUNCT
cana-1246	11	3	cryptography	cryptography	NOUN
cana-1246	11	4	,	,	PUNCT
cana-1246	11	5	key	key	ADJ
cana-1246	11	6	agreement	agreement	NOUN
cana-1246	11	7	protocol	protocol	NOUN
cana-1246	11	8	,	,	PUNCT
cana-1246	11	9	one	one	NUM
cana-1246	11	10	way	way	NOUN
cana-1246	11	11	function	function	NOUN
cana-1246	11	12	,	,	PUNCT
cana-1246	11	13	communicating	communicate	VERB
cana-1246	11	14	party	party	NOUN
cana-1246	11	15	,	,	PUNCT
cana-1246	11	16	discrete	discrete	ADJ
cana-1246	11	17	heisenberg	heisenberg	PROPN
cana-1246	11	18	group	group	PROPN
cana-1246	11	19	,	,	PUNCT
cana-1246	11	20	conjugacy	conjugacy	PROPN
cana-1246	11	21	search	search	NOUN
cana-1246	11	22	problem	problem	NOUN
cana-1246	11	23	.	.	PUNCT
cana-1246	12	1	1	1	X
cana-1246	12	2	.	.	X
cana-1246	12	3	introduction	introduction	NOUN
cana-1246	12	4	:	:	PUNCT
cana-1246	12	5	cryptography	cryptography	NOUN
cana-1246	12	6	is	be	AUX
cana-1246	12	7	the	the	DET
cana-1246	12	8	art	art	NOUN
cana-1246	12	9	of	of	ADP
cana-1246	12	10	achieving	achieve	VERB
cana-1246	12	11	security	security	NOUN
cana-1246	12	12	by	by	ADP
cana-1246	12	13	encrypting	encrypt	VERB
cana-1246	12	14	the	the	DET
cana-1246	12	15	messages	message	NOUN
cana-1246	12	16	from	from	ADP
cana-1246	12	17	the	the	DET
cana-1246	12	18	sender	sender	NOUN
cana-1246	12	19	to	to	ADP
cana-1246	12	20	the	the	DET
cana-1246	12	21	receiver	receiver	NOUN
cana-1246	12	22	which	which	PRON
cana-1246	12	23	is	be	AUX
cana-1246	12	24	made	make	VERB
cana-1246	12	25	non	non	ADJ
cana-1246	12	26	-	-	ADJ
cana-1246	12	27	readable	readable	ADJ
cana-1246	12	28	for	for	ADP
cana-1246	12	29	others	other	NOUN
cana-1246	12	30	.	.	PUNCT
cana-1246	13	1	the	the	DET
cana-1246	13	2	process	process	NOUN
cana-1246	13	3	of	of	ADP
cana-1246	13	4	encoding	encode	VERB
cana-1246	13	5	plain	plain	ADJ
cana-1246	13	6	text	text	NOUN
cana-1246	13	7	into	into	ADP
cana-1246	13	8	cipher	cipher	ADJ
cana-1246	13	9	text	text	NOUN
cana-1246	13	10	message	message	NOUN
cana-1246	13	11	is	be	AUX
cana-1246	13	12	called	call	VERB
cana-1246	13	13	encryption	encryption	NOUN
cana-1246	13	14	.	.	PUNCT
cana-1246	14	1	the	the	DET
cana-1246	14	2	reverse	reverse	ADJ
cana-1246	14	3	process	process	NOUN
cana-1246	14	4	of	of	ADP
cana-1246	14	5	transforming	transform	VERB
cana-1246	14	6	cipher	cipher	ADJ
cana-1246	14	7	text	text	NOUN
cana-1246	14	8	called	call	VERB
cana-1246	14	9	decryption	decryption	NOUN
cana-1246	14	10	.	.	PUNCT
cana-1246	15	1	there	there	PRON
cana-1246	15	2	are	be	VERB
cana-1246	15	3	two	two	NUM
cana-1246	15	4	cryptographic	cryptographic	ADJ
cana-1246	15	5	mechanism	mechanism	NOUN
cana-1246	15	6	depends	depend	VERB
cana-1246	15	7	on	on	ADP
cana-1246	15	8	the	the	DET
cana-1246	15	9	key	key	NOUN
cana-1246	15	10	used	use	VERB
cana-1246	15	11	.	.	PUNCT
cana-1246	16	1	if	if	SCONJ
cana-1246	16	2	the	the	DET
cana-1246	16	3	same	same	ADJ
cana-1246	16	4	key	key	NOUN
cana-1246	16	5	is	be	AUX
cana-1246	16	6	used	use	VERB
cana-1246	16	7	for	for	ADP
cana-1246	16	8	encryption	encryption	NOUN
cana-1246	16	9	and	and	CCONJ
cana-1246	16	10	decryption	decryption	NOUN
cana-1246	16	11	it	it	PRON
cana-1246	16	12	is	be	AUX
cana-1246	16	13	called	call	VERB
cana-1246	16	14	symmetric	symmetric	ADJ
cana-1246	16	15	key	key	ADJ
cana-1246	16	16	cryptography	cryptography	NOUN
cana-1246	16	17	or	or	CCONJ
cana-1246	16	18	private	private	ADJ
cana-1246	16	19	key	key	ADJ
cana-1246	16	20	cryptography	cryptography	NOUN
cana-1246	16	21	.	.	PUNCT
cana-1246	17	1	if	if	SCONJ
cana-1246	17	2	two	two	NUM
cana-1246	17	3	different	different	ADJ
cana-1246	17	4	keys	key	NOUN
cana-1246	17	5	are	be	AUX
cana-1246	17	6	used	use	VERB
cana-1246	17	7	in	in	ADP
cana-1246	17	8	a	a	DET
cana-1246	17	9	cryptographic	cryptographic	ADJ
cana-1246	17	10	mechanism	mechanism	NOUN
cana-1246	17	11	where	where	SCONJ
cana-1246	17	12	in	in	ADP
cana-1246	17	13	one	one	NUM
cana-1246	17	14	key	key	NOUN
cana-1246	17	15	is	be	AUX
cana-1246	17	16	used	use	VERB
cana-1246	17	17	for	for	ADP
cana-1246	17	18	encryption	encryption	NOUN
cana-1246	17	19	and	and	CCONJ
cana-1246	17	20	another	another	DET
cana-1246	17	21	key	key	NOUN
cana-1246	17	22	is	be	AUX
cana-1246	17	23	used	use	VERB
cana-1246	17	24	is	be	AUX
cana-1246	17	25	used	use	VERB
cana-1246	17	26	for	for	ADP
cana-1246	17	27	decryption	decryption	NOUN
cana-1246	17	28	then	then	ADV
cana-1246	17	29	it	it	PRON
cana-1246	17	30	is	be	AUX
cana-1246	17	31	called	call	VERB
cana-1246	17	32	asymmetric	asymmetric	ADJ
cana-1246	17	33	key	key	ADJ
cana-1246	17	34	cryptography	cryptography	NOUN
cana-1246	17	35	or	or	CCONJ
cana-1246	17	36	public	public	ADJ
cana-1246	17	37	key	key	ADJ
cana-1246	17	38	cryptography	cryptography	NOUN
cana-1246	17	39	.	.	PUNCT
cana-1246	18	1	key	key	ADJ
cana-1246	18	2	exchange	exchange	NOUN
cana-1246	18	3	protocol	protocol	NOUN
cana-1246	18	4	enable	enable	VERB
cana-1246	18	5	secure	secure	ADJ
cana-1246	18	6	communication	communication	NOUN
cana-1246	18	7	over	over	ADP
cana-1246	18	8	an	an	DET
cana-1246	18	9	untrusted	untrusted	ADJ
cana-1246	18	10	network	network	NOUN
cana-1246	18	11	by	by	ADP
cana-1246	18	12	deriving	derive	VERB
cana-1246	18	13	and	and	CCONJ
cana-1246	18	14	distributing	distribute	VERB
cana-1246	18	15	shared	shared	ADJ
cana-1246	18	16	keys	key	NOUN
cana-1246	18	17	between	between	ADP
cana-1246	18	18	two	two	NUM
cana-1246	18	19	or	or	CCONJ
cana-1246	18	20	more	more	ADJ
cana-1246	18	21	parties	party	NOUN
cana-1246	18	22	.	.	PUNCT
cana-1246	19	1	there	there	PRON
cana-1246	19	2	are	be	VERB
cana-1246	19	3	two	two	NUM
cana-1246	19	4	type	type	NOUN
cana-1246	19	5	of	of	ADP
cana-1246	19	6	key	key	ADJ
cana-1246	19	7	exchange	exchange	NOUN
cana-1246	19	8	protocols	protocol	NOUN
cana-1246	19	9	commonly	commonly	ADV
cana-1246	19	10	known	know	VERB
cana-1246	19	11	as	as	ADP
cana-1246	19	12	key	key	ADJ
cana-1246	19	13	transport	transport	NOUN
cana-1246	19	14	protocol	protocol	NOUN
cana-1246	19	15	and	and	CCONJ
cana-1246	19	16	key	key	ADJ
cana-1246	19	17	agreement	agreement	NOUN
cana-1246	19	18	protocol	protocol	NOUN
cana-1246	19	19	.	.	PUNCT
cana-1246	20	1	key	key	ADJ
cana-1246	20	2	transport	transport	NOUN
cana-1246	20	3	protocol	protocol	NOUN
cana-1246	20	4	is	be	AUX
cana-1246	20	5	a	a	DET
cana-1246	20	6	key	key	ADJ
cana-1246	20	7	establishment	establishment	NOUN
cana-1246	20	8	protocol	protocol	NOUN
cana-1246	20	9	in	in	ADP
cana-1246	20	10	which	which	PRON
cana-1246	20	11	one	one	NUM
cana-1246	20	12	of	of	ADP
cana-1246	20	13	the	the	DET
cana-1246	20	14	principal	principal	NOUN
cana-1246	20	15	generates	generate	VERB
cana-1246	20	16	the	the	DET
cana-1246	20	17	key	key	NOUN
cana-1246	20	18	and	and	CCONJ
cana-1246	20	19	this	this	DET
cana-1246	20	20	key	key	NOUN
cana-1246	20	21	then	then	ADV
cana-1246	20	22	transferred	transfer	VERB
cana-1246	20	23	to	to	ADP
cana-1246	20	24	all	all	DET
cana-1246	20	25	protocol	protocol	NOUN
cana-1246	20	26	users	user	NOUN
cana-1246	20	27	.	.	PUNCT
cana-1246	21	1	key	key	ADJ
cana-1246	21	2	agreement	agreement	NOUN
cana-1246	21	3	protocol	protocol	NOUN
cana-1246	21	4	is	be	AUX
cana-1246	21	5	a	a	DET
cana-1246	21	6	key	key	ADJ
cana-1246	21	7	establishment	establishment	NOUN
cana-1246	21	8	protocol	protocol	NOUN
cana-1246	21	9	in	in	ADP
cana-1246	21	10	which	which	PRON
cana-1246	21	11	the	the	DET
cana-1246	21	12	session	session	NOUN
cana-1246	21	13	key	key	NOUN
cana-1246	21	14	is	be	AUX
cana-1246	21	15	a	a	DET
cana-1246	21	16	function	function	NOUN
cana-1246	21	17	of	of	ADP
cana-1246	21	18	inputs	input	NOUN
cana-1246	21	19	by	by	ADP
cana-1246	21	20	all	all	DET
cana-1246	21	21	protocol	protocol	NOUN
cana-1246	21	22	users	user	NOUN
cana-1246	21	23	.	.	PUNCT
cana-1246	22	1	mailto:sundarakannann.maths@srmvalliammai.ac.in	mailto:sundarakannann.maths@srmvalliammai.ac.in	PROPN
cana-1246	22	2	mailto:isaiyarasit.maths@srmvalliammai.ac.in	mailto:isaiyarasit.maths@srmvalliammai.ac.in	PROPN
cana-1246	22	3	mailto:3nagaraniv.maths@srmvalliammai.ac.in	mailto:3nagaraniv.maths@srmvalliammai.ac.in	PROPN
cana-1246	22	4	mailto:captainprabakarand.maths@srmvalliammai.ac.in	mailto:captainprabakarand.maths@srmvalliammai.ac.in	PROPN
cana-1246	22	5	mailto:ayshachitukkamha.maths@srmvalliammai.ac.in	mailto:ayshachitukkamha.maths@srmvalliammai.ac.in	PROPN
cana-1246	22	6	communications	communication	NOUN
cana-1246	22	7	on	on	ADP
cana-1246	22	8	applied	apply	VERB
cana-1246	22	9	nonlinear	nonlinear	ADJ
cana-1246	22	10	analysis	analysis	NOUN
cana-1246	22	11	issn	issn	NOUN
cana-1246	22	12	:	:	PUNCT
cana-1246	22	13	1074	1074	NUM
cana-1246	22	14	-	-	PUNCT
cana-1246	22	15	133x	133x	NUM
cana-1246	22	16	vol	vol	NOUN
cana-1246	22	17	31	31	NUM
cana-1246	22	18	no	no	NOUN
cana-1246	22	19	.	.	PUNCT
cana-1246	23	1	6s	6s	NUM
cana-1246	23	2	(	(	PUNCT
cana-1246	23	3	2024	2024	NUM
cana-1246	23	4	)	)	PUNCT
cana-1246	23	5	593	593	NUM
cana-1246	23	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1246	23	7	the	the	DET
cana-1246	23	8	public	public	ADJ
cana-1246	23	9	key	key	ADJ
cana-1246	23	10	cryptography	cryptography	NOUN
cana-1246	23	11	system	system	NOUN
cana-1246	23	12	was	be	AUX
cana-1246	23	13	introduced	introduce	VERB
cana-1246	23	14	by	by	ADP
cana-1246	23	15	diffe	diffe	PROPN
cana-1246	23	16	at	at	ADP
cana-1246	23	17	al.[6	al.[6	PROPN
cana-1246	23	18	]	]	PUNCT
cana-1246	23	19	in	in	ADP
cana-1246	23	20	their	their	PRON
cana-1246	23	21	article	article	NOUN
cana-1246	23	22	‘	'	PUNCT
cana-1246	23	23	a	a	DET
cana-1246	23	24	new	new	ADJ
cana-1246	23	25	directions	direction	NOUN
cana-1246	23	26	in	in	ADP
cana-1246	23	27	cryptography	cryptography	NOUN
cana-1246	23	28	’	'	PUNCT
cana-1246	23	29	.	.	PUNCT
cana-1246	24	1	in	in	ADP
cana-1246	24	2	this	this	PRON
cana-1246	24	3	a	a	DET
cana-1246	24	4	key	key	ADJ
cana-1246	24	5	agreement	agreement	NOUN
cana-1246	24	6	protocol	protocol	NOUN
cana-1246	24	7	was	be	AUX
cana-1246	24	8	proposed	propose	VERB
cana-1246	24	9	with	with	ADP
cana-1246	24	10	in	in	ADP
cana-1246	24	11	which	which	PRON
cana-1246	24	12	the	the	DET
cana-1246	24	13	discrete	discrete	ADJ
cana-1246	24	14	logarithm	logarithm	NOUN
cana-1246	24	15	problem	problem	NOUN
cana-1246	24	16	served	serve	VERB
cana-1246	24	17	as	as	ADP
cana-1246	24	18	the	the	DET
cana-1246	24	19	one	one	NUM
cana-1246	24	20	way	way	NOUN
cana-1246	24	21	function	function	NOUN
cana-1246	24	22	.	.	PUNCT
cana-1246	25	1	in	in	ADP
cana-1246	25	2	[	[	X
cana-1246	25	3	5	5	X
cana-1246	25	4	]	]	PUNCT
cana-1246	25	5	anshel	anshel	PROPN
cana-1246	25	6	et	et	PROPN
cana-1246	25	7	al	al	PROPN
cana-1246	25	8	.	.	PROPN
cana-1246	26	1	key	key	PROPN
cana-1246	26	2	agreement	agreement	NOUN
cana-1246	26	3	protocols	protocol	NOUN
cana-1246	26	4	were	be	AUX
cana-1246	26	5	proposed	propose	VERB
cana-1246	26	6	using	use	VERB
cana-1246	26	7	the	the	DET
cana-1246	26	8	search	search	NOUN
cana-1246	26	9	problems	problem	NOUN
cana-1246	26	10	as	as	ADP
cana-1246	26	11	the	the	DET
cana-1246	26	12	one	one	NUM
cana-1246	26	13	way	way	NOUN
cana-1246	26	14	functions	function	NOUN
cana-1246	26	15	.	.	PUNCT
cana-1246	27	1	in	in	ADP
cana-1246	27	2	these	these	DET
cana-1246	27	3	protocols	protocol	NOUN
cana-1246	27	4	the	the	DET
cana-1246	27	5	braid	braid	PROPN
cana-1246	27	6	group	group	NOUN
cana-1246	27	7	was	be	AUX
cana-1246	27	8	chosen	choose	VERB
cana-1246	27	9	as	as	ADP
cana-1246	27	10	the	the	DET
cana-1246	27	11	platform	platform	NOUN
cana-1246	27	12	group	group	NOUN
cana-1246	27	13	.	.	PUNCT
cana-1246	28	1	in	in	ADP
cana-1246	28	2	[	[	X
cana-1246	28	3	7	7	X
cana-1246	28	4	]	]	X
cana-1246	28	5	t.	t.	NOUN
cana-1246	28	6	isaiyarasi	isaiyarasi	PROPN
cana-1246	28	7	t	t	PROPN
cana-1246	28	8	et	et	PROPN
cana-1246	28	9	al	al	PROPN
cana-1246	28	10	.	.	PROPN
cana-1246	28	11	proposed	propose	VERB
cana-1246	28	12	‘	'	PUNCT
cana-1246	28	13	a	a	DET
cana-1246	28	14	new	new	ADJ
cana-1246	28	15	multiparty	multiparty	NOUN
cana-1246	28	16	key	key	NOUN
cana-1246	28	17	agreement	agreement	NOUN
cana-1246	28	18	protocol	protocol	NOUN
cana-1246	28	19	using	use	VERB
cana-1246	28	20	tripled	triple	VERB
cana-1246	28	21	decomposition	decomposition	NOUN
cana-1246	28	22	search	search	NOUN
cana-1246	28	23	problem	problem	NOUN
cana-1246	28	24	in	in	ADP
cana-1246	28	25	discrete	discrete	ADJ
cana-1246	28	26	heisenberg	heisenberg	PROPN
cana-1246	28	27	group	group	PROPN
cana-1246	28	28	’	'	PUNCT
cana-1246	28	29	was	be	AUX
cana-1246	28	30	proposed	propose	VERB
cana-1246	28	31	.	.	PUNCT
cana-1246	29	1	t.	t.	NOUN
cana-1246	29	2	isaiyarasi	isaiyarasi	PROPN
cana-1246	29	3	et	et	PROPN
cana-1246	29	4	al.[9	al.[9	PROPN
cana-1246	29	5	]	]	PUNCT
cana-1246	29	6	,	,	PUNCT
cana-1246	29	7	a	a	DET
cana-1246	29	8	new	new	ADJ
cana-1246	29	9	key	key	ADJ
cana-1246	29	10	agreement	agreement	NOUN
cana-1246	29	11	protocol	protocol	NOUN
cana-1246	29	12	using	use	VERB
cana-1246	29	13	two	two	NUM
cana-1246	29	14	layers	layer	NOUN
cana-1246	29	15	of	of	ADP
cana-1246	29	16	security	security	NOUN
cana-1246	29	17	was	be	AUX
cana-1246	29	18	proposed	propose	VERB
cana-1246	29	19	.in	.in	PUNCT
cana-1246	30	1	[	[	X
cana-1246	30	2	11	11	NUM
cana-1246	30	3	]	]	PUNCT
cana-1246	30	4	‘	'	PUNCT
cana-1246	30	5	authenticated	authenticate	VERB
cana-1246	30	6	key	key	ADJ
cana-1246	30	7	agreement	agreement	NOUN
cana-1246	30	8	protocol	protocol	NOUN
cana-1246	30	9	for	for	ADP
cana-1246	30	10	hwsn	hwsn	NOUN
cana-1246	30	11	network	network	NOUN
cana-1246	30	12	’	'	PUNCT
cana-1246	30	13	was	be	AUX
cana-1246	30	14	proposed	propose	VERB
cana-1246	30	15	using	use	VERB
cana-1246	30	16	factorization	factorization	NOUN
cana-1246	30	17	search	search	NOUN
cana-1246	30	18	problem	problem	NOUN
cana-1246	30	19	.	.	PUNCT
cana-1246	31	1	2	2	X
cana-1246	31	2	.	.	X
cana-1246	31	3	definitions	definition	NOUN
cana-1246	31	4	:	:	PUNCT
cana-1246	31	5	2.1	2.1	NUM
cana-1246	31	6	discrete	discrete	NOUN
cana-1246	31	7	heisenberg	heisenberg	PROPN
cana-1246	31	8	group	group	NOUN
cana-1246	31	9	:	:	PUNCT
cana-1246	31	10	let	let	VERB
cana-1246	31	11	ℋ	ℋ	PRON
cana-1246	31	12	be	be	AUX
cana-1246	31	13	the	the	DET
cana-1246	31	14	set	set	NOUN
cana-1246	31	15	of	of	ADP
cana-1246	31	16	all	all	DET
cana-1246	31	17	5	5	NUM
cana-1246	31	18	-	-	PUNCT
cana-1246	31	19	tuples(𝑥1	tuples(𝑥1	ADJ
cana-1246	31	20	,	,	PUNCT
cana-1246	31	21	𝑥2	𝑥2	NOUN
cana-1246	31	22	,	,	PUNCT
cana-1246	31	23	𝑥3	𝑥3	NOUN
cana-1246	31	24	,	,	PUNCT
cana-1246	31	25	𝑥4	𝑥4	NOUN
cana-1246	31	26	,	,	PUNCT
cana-1246	31	27	𝑥5	𝑥5	PROPN
cana-1246	31	28	)	)	PUNCT
cana-1246	31	29	where	where	SCONJ
cana-1246	31	30	𝑥1	𝑥1	NOUN
cana-1246	31	31	,	,	PUNCT
cana-1246	31	32	𝑥2	𝑥2	NOUN
cana-1246	31	33	,	,	PUNCT
cana-1246	31	34	𝑥3	𝑥3	NOUN
cana-1246	31	35	,	,	PUNCT
cana-1246	31	36	𝑥4	𝑥4	NOUN
cana-1246	31	37	,	,	PUNCT
cana-1246	31	38	𝑥5∈	𝑥5∈	PROPN
cana-1246	31	39	,	,	PUNCT
cana-1246	31	40	and	and	CCONJ
cana-1246	31	41	⋅	⋅	PROPN
cana-1246	31	42	be	be	AUX
cana-1246	31	43	the	the	DET
cana-1246	31	44	binary	binary	ADJ
cana-1246	31	45	operation	operation	NOUN
cana-1246	31	46	.	.	PUNCT
cana-1246	32	1	the	the	DET
cana-1246	32	2	binary	binary	PROPN
cana-1246	32	3	operation	operation	PROPN
cana-1246	32	4	⋅	⋅	PROPN
cana-1246	32	5	is	be	AUX
cana-1246	32	6	defined	define	VERB
cana-1246	32	7	as	as	ADP
cana-1246	32	8	follows	follow	VERB
cana-1246	32	9	(	(	PUNCT
cana-1246	32	10	𝑥1	𝑥1	NOUN
cana-1246	32	11	,	,	PUNCT
cana-1246	32	12	𝑥2	𝑥2	NOUN
cana-1246	32	13	,	,	PUNCT
cana-1246	32	14	𝑥3	𝑥3	NOUN
cana-1246	32	15	,	,	PUNCT
cana-1246	32	16	𝑥4	𝑥4	PROPN
cana-1246	32	17	,	,	PUNCT
cana-1246	32	18	𝑥5)⋅(𝑦1	𝑥5)⋅(𝑦1	PROPN
cana-1246	32	19	,	,	PUNCT
cana-1246	32	20	𝑦2	𝑦2	PROPN
cana-1246	32	21	,	,	PUNCT
cana-1246	32	22	𝑦3	𝑦3	PROPN
cana-1246	32	23	,	,	PUNCT
cana-1246	32	24	𝑦4	𝑦4	NOUN
cana-1246	32	25	,	,	PUNCT
cana-1246	32	26	𝑦5	𝑦5	NOUN
cana-1246	32	27	)	)	PUNCT
cana-1246	33	1	=	=	PUNCT
cana-1246	33	2	(	(	PUNCT
cana-1246	33	3	𝑥1	𝑥1	NOUN
cana-1246	33	4	+	+	CCONJ
cana-1246	33	5	𝑦1	𝑦1	PROPN
cana-1246	33	6	,	,	PUNCT
cana-1246	33	7	𝑥2	𝑥2	NOUN
cana-1246	33	8	+	+	CCONJ
cana-1246	33	9	𝑦2	𝑦2	NOUN
cana-1246	33	10	,	,	PUNCT
cana-1246	33	11	𝑥3	𝑥3	NOUN
cana-1246	33	12	+	+	CCONJ
cana-1246	33	13	𝑦3	𝑦3	PROPN
cana-1246	33	14	,	,	PUNCT
cana-1246	33	15	𝑥4	𝑥4	NOUN
cana-1246	33	16	+	+	CCONJ
cana-1246	33	17	𝑦4	𝑦4	NOUN
cana-1246	33	18	,	,	PUNCT
cana-1246	33	19	𝑥5	𝑥5	PROPN
cana-1246	33	20	+	+	CCONJ
cana-1246	33	21	𝑦5	𝑦5	NOUN
cana-1246	33	22	+	+	CCONJ
cana-1246	33	23	𝑥1𝑦3	𝑥1𝑦3	PUNCT
cana-1246	33	24	+	+	CCONJ
cana-1246	33	25	𝑥2𝑦4	𝑥2𝑦4	X
cana-1246	33	26	)	)	PUNCT
cana-1246	33	27	---(1	---(1	PROPN
cana-1246	33	28	)	)	PUNCT
cana-1246	34	1	it	it	PRON
cana-1246	34	2	can	can	AUX
cana-1246	34	3	be	be	AUX
cana-1246	34	4	easily	easily	ADV
cana-1246	34	5	verified	verify	VERB
cana-1246	34	6	that	that	SCONJ
cana-1246	34	7	the	the	DET
cana-1246	34	8	set	set	NOUN
cana-1246	34	9	ℋ	ℋ	PROPN
cana-1246	34	10	is	be	AUX
cana-1246	34	11	a	a	DET
cana-1246	34	12	group	group	NOUN
cana-1246	34	13	but	but	CCONJ
cana-1246	34	14	not	not	PART
cana-1246	34	15	abelian	abelian	ADJ
cana-1246	34	16	under	under	ADP
cana-1246	34	17	this	this	DET
cana-1246	34	18	binary	binary	NOUN
cana-1246	34	19	operation⋅.	operation⋅.	PROPN
cana-1246	34	20	for	for	ADP
cana-1246	34	21	the	the	DET
cana-1246	34	22	cryptographic	cryptographic	ADJ
cana-1246	34	23	purpose	purpose	NOUN
cana-1246	34	24	we	we	PRON
cana-1246	34	25	consider	consider	VERB
cana-1246	34	26	a	a	DET
cana-1246	34	27	finite	finite	ADJ
cana-1246	34	28	group	group	NOUN
cana-1246	34	29	ℋ.	ℋ.	PROPN
cana-1246	34	30	when	when	SCONJ
cana-1246	34	31	the	the	DET
cana-1246	34	32	modular	modular	ADJ
cana-1246	34	33	arithmetic	arithmetic	NOUN
cana-1246	34	34	is	be	AUX
cana-1246	34	35	introduced	introduce	VERB
cana-1246	34	36	,	,	PUNCT
cana-1246	34	37	this	this	DET
cana-1246	34	38	group	group	NOUN
cana-1246	34	39	can	can	AUX
cana-1246	34	40	be	be	AUX
cana-1246	34	41	made	make	VERB
cana-1246	34	42	finite	finite	ADJ
cana-1246	34	43	as	as	SCONJ
cana-1246	34	44	follows	follow	VERB
cana-1246	34	45	:	:	PUNCT
cana-1246	34	46	(	(	PUNCT
cana-1246	34	47	𝑥1	𝑥1	NOUN
cana-1246	34	48	,	,	PUNCT
cana-1246	34	49	𝑥2	𝑥2	NOUN
cana-1246	34	50	,	,	PUNCT
cana-1246	34	51	𝑥3	𝑥3	NOUN
cana-1246	34	52	,	,	PUNCT
cana-1246	34	53	𝑥4	𝑥4	PROPN
cana-1246	34	54	,	,	PUNCT
cana-1246	34	55	𝑥5)⋅(𝑦1	𝑥5)⋅(𝑦1	PROPN
cana-1246	34	56	,	,	PUNCT
cana-1246	34	57	𝑦2	𝑦2	PROPN
cana-1246	34	58	,	,	PUNCT
cana-1246	34	59	𝑦3	𝑦3	PROPN
cana-1246	34	60	,	,	PUNCT
cana-1246	34	61	𝑦4	𝑦4	NOUN
cana-1246	34	62	,	,	PUNCT
cana-1246	34	63	𝑦5	𝑦5	NOUN
cana-1246	34	64	)	)	PUNCT
cana-1246	34	65	=	=	PUNCT
cana-1246	35	1	(	(	PUNCT
cana-1246	35	2	𝑥1	𝑥1	NOUN
cana-1246	35	3	+	+	CCONJ
cana-1246	35	4	𝑦1	𝑦1	PROPN
cana-1246	35	5	,	,	PUNCT
cana-1246	35	6	𝑥2	𝑥2	NOUN
cana-1246	35	7	+	+	CCONJ
cana-1246	35	8	𝑦2	𝑦2	NOUN
cana-1246	35	9	,	,	PUNCT
cana-1246	35	10	𝑥3	𝑥3	NOUN
cana-1246	35	11	+	+	CCONJ
cana-1246	35	12	𝑦3	𝑦3	PROPN
cana-1246	35	13	,	,	PUNCT
cana-1246	35	14	𝑥4	𝑥4	NOUN
cana-1246	35	15	+	+	CCONJ
cana-1246	35	16	𝑦4	𝑦4	NOUN
cana-1246	35	17	,	,	PUNCT
cana-1246	35	18	𝑥5	𝑥5	PROPN
cana-1246	35	19	+	+	CCONJ
cana-1246	35	20	𝑦5	𝑦5	NOUN
cana-1246	35	21	+	+	CCONJ
cana-1246	35	22	𝑥1𝑦3	𝑥1𝑦3	PUNCT
cana-1246	35	23	+	+	NUM
cana-1246	35	24	𝑥2𝑦4)𝑚𝑜𝑑	𝑥2𝑦4)𝑚𝑜𝑑	X
cana-1246	35	25	𝑝	𝑝	NOUN
cana-1246	35	26	where𝑝	where𝑝	NOUN
cana-1246	35	27	is	be	AUX
cana-1246	35	28	a	a	DET
cana-1246	35	29	prime	prime	ADJ
cana-1246	35	30	number	number	NOUN
cana-1246	35	31	.	.	PUNCT
cana-1246	36	1	(	(	PUNCT
cana-1246	36	2	i	i	NOUN
cana-1246	36	3	)	)	PUNCT
cana-1246	36	4	the	the	DET
cana-1246	36	5	number	number	NOUN
cana-1246	36	6	of	of	ADP
cana-1246	36	7	elements	element	NOUN
cana-1246	36	8	in	in	ADP
cana-1246	36	9	ℋ	ℋ	PROPN
cana-1246	36	10	=	=	SYM
cana-1246	36	11	𝑍𝑝	𝑍𝑝	PROPN
cana-1246	36	12	,	,	PUNCT
cana-1246	36	13	𝑖.	𝑖.	ADJ
cana-1246	36	14	𝑒.	𝑒.	ADJ
cana-1246	36	15	,	,	PUNCT
cana-1246	36	16	(	(	PUNCT
cana-1246	36	17	ℋ	ℋ	NOUN
cana-1246	36	18	)	)	PUNCT
cana-1246	36	19	=	=	SYM
cana-1246	36	20	𝑝5	𝑝5	PROPN
cana-1246	36	21	(	(	PUNCT
cana-1246	36	22	ii	ii	NOUN
cana-1246	36	23	)	)	PUNCT
cana-1246	36	24	existence	existence	NOUN
cana-1246	36	25	of	of	ADP
cana-1246	36	26	identity	identity	NOUN
cana-1246	36	27	element	element	NOUN
cana-1246	36	28	:	:	PUNCT
cana-1246	36	29	for	for	ADP
cana-1246	36	30	any	any	DET
cana-1246	36	31	(	(	PUNCT
cana-1246	36	32	𝑥1	𝑥1	NOUN
cana-1246	36	33	,	,	PUNCT
cana-1246	36	34	𝑥2	𝑥2	NOUN
cana-1246	36	35	,	,	PUNCT
cana-1246	36	36	𝑥3	𝑥3	NOUN
cana-1246	36	37	,	,	PUNCT
cana-1246	36	38	𝑥4	𝑥4	NOUN
cana-1246	36	39	,	,	PUNCT
cana-1246	36	40	𝑥5)∈ℋ	𝑥5)∈ℋ	ADV
cana-1246	36	41	(	(	PUNCT
cana-1246	36	42	𝑥1	𝑥1	NOUN
cana-1246	36	43	,	,	PUNCT
cana-1246	36	44	𝑥2	𝑥2	NOUN
cana-1246	36	45	,	,	PUNCT
cana-1246	36	46	𝑥3	𝑥3	NOUN
cana-1246	36	47	,	,	PUNCT
cana-1246	36	48	𝑥4	𝑥4	NOUN
cana-1246	36	49	,	,	PUNCT
cana-1246	36	50	𝑥5)⋅	𝑥5)⋅	NUM
cana-1246	36	51	(	(	PUNCT
cana-1246	36	52	0,0,0,0,0	0,0,0,0,0	NOUN
cana-1246	36	53	)	)	PUNCT
cana-1246	36	54	=	=	SYM
cana-1246	36	55	(	(	PUNCT
cana-1246	36	56	𝑥1	𝑥1	NOUN
cana-1246	36	57	+	+	NOUN
cana-1246	36	58	0	0	NUM
cana-1246	36	59	,	,	PUNCT
cana-1246	36	60	𝑥2	𝑥2	NOUN
cana-1246	36	61	+	+	CCONJ
cana-1246	36	62	0	0	NUM
cana-1246	36	63	,	,	PUNCT
cana-1246	36	64	𝑥3	𝑥3	NOUN
cana-1246	36	65	+	+	CCONJ
cana-1246	36	66	0	0	NUM
cana-1246	36	67	,	,	PUNCT
cana-1246	36	68	𝑥4	𝑥4	NOUN
cana-1246	36	69	+	+	CCONJ
cana-1246	36	70	0	0	NUM
cana-1246	36	71	,	,	PUNCT
cana-1246	36	72	𝑥5	𝑥5	PROPN
cana-1246	36	73	+	+	SYM
cana-1246	36	74	0	0	NUM
cana-1246	36	75	+	+	NUM
cana-1246	36	76	𝑥1	𝑥1	NOUN
cana-1246	36	77	.	.	NOUN
cana-1246	36	78	0	0	PUNCT
cana-1246	37	1	+	+	NUM
cana-1246	37	2	𝑥2	𝑥2	NOUN
cana-1246	37	3	.	.	PUNCT
cana-1246	37	4	0	0	X
cana-1246	37	5	)	)	PUNCT
cana-1246	38	1	=	=	PRON
cana-1246	38	2	(	(	PUNCT
cana-1246	38	3	𝑥1	𝑥1	NOUN
cana-1246	38	4	,	,	PUNCT
cana-1246	38	5	𝑥2	𝑥2	NOUN
cana-1246	38	6	,	,	PUNCT
cana-1246	38	7	𝑥3	𝑥3	NOUN
cana-1246	38	8	,	,	PUNCT
cana-1246	38	9	𝑥4	𝑥4	NOUN
cana-1246	38	10	,	,	PUNCT
cana-1246	38	11	𝑥5	𝑥5	NUM
cana-1246	38	12	)	)	PUNCT
cana-1246	38	13	communications	communication	NOUN
cana-1246	38	14	on	on	ADP
cana-1246	38	15	applied	apply	VERB
cana-1246	38	16	nonlinear	nonlinear	ADJ
cana-1246	38	17	analysis	analysis	NOUN
cana-1246	38	18	issn	issn	NOUN
cana-1246	38	19	:	:	PUNCT
cana-1246	38	20	1074	1074	NUM
cana-1246	38	21	-	-	PUNCT
cana-1246	38	22	133x	133x	NUM
cana-1246	38	23	vol	vol	NOUN
cana-1246	38	24	31	31	NUM
cana-1246	38	25	no	no	NOUN
cana-1246	38	26	.	.	PUNCT
cana-1246	39	1	6s	6s	NUM
cana-1246	39	2	(	(	PUNCT
cana-1246	39	3	2024	2024	NUM
cana-1246	39	4	)	)	PUNCT
cana-1246	39	5	594	594	NUM
cana-1246	39	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1246	39	7	also	also	ADV
cana-1246	39	8	(	(	PUNCT
cana-1246	39	9	0,0,0,0,0	0,0,0,0,0	NOUN
cana-1246	39	10	)	)	PUNCT
cana-1246	39	11	⋅	⋅	PROPN
cana-1246	39	12	(	(	PUNCT
cana-1246	39	13	𝑥1	𝑥1	NOUN
cana-1246	39	14	,	,	PUNCT
cana-1246	39	15	𝑥2	𝑥2	NOUN
cana-1246	39	16	,	,	PUNCT
cana-1246	39	17	𝑥3	𝑥3	NOUN
cana-1246	39	18	,	,	PUNCT
cana-1246	39	19	𝑥4	𝑥4	NOUN
cana-1246	39	20	,	,	PUNCT
cana-1246	39	21	𝑥5	𝑥5	NUM
cana-1246	39	22	)	)	PUNCT
cana-1246	39	23	=	=	PUNCT
cana-1246	40	1	(	(	PUNCT
cana-1246	40	2	0	0	NUM
cana-1246	40	3	+	+	NUM
cana-1246	40	4	𝑥1	𝑥1	NOUN
cana-1246	40	5	,	,	PUNCT
cana-1246	40	6	0	0	NUM
cana-1246	41	1	+	+	NUM
cana-1246	41	2	𝑥2	𝑥2	NOUN
cana-1246	41	3	,	,	PUNCT
cana-1246	41	4	0	0	NUM
cana-1246	42	1	+	+	CCONJ
cana-1246	42	2	𝑥3	𝑥3	NOUN
cana-1246	42	3	,	,	PUNCT
cana-1246	42	4	0	0	NUM
cana-1246	43	1	+	+	CCONJ
cana-1246	43	2	𝑥4	𝑥4	ADJ
cana-1246	43	3	,	,	PUNCT
cana-1246	43	4	0	0	PUNCT
cana-1246	44	1	+	+	CCONJ
cana-1246	44	2	𝑥5	𝑥5	PROPN
cana-1246	44	3	+	+	NOUN
cana-1246	44	4	0	0	X
cana-1246	44	5	.	.	X
cana-1246	45	1	𝑥3	𝑥3	NOUN
cana-1246	45	2	+	+	CCONJ
cana-1246	45	3	0	0	NUM
cana-1246	45	4	.	.	NUM
cana-1246	45	5	𝑥4	𝑥4	NOUN
cana-1246	45	6	)	)	PUNCT
cana-1246	46	1	=	=	PRON
cana-1246	46	2	(	(	PUNCT
cana-1246	46	3	𝑥1	𝑥1	NOUN
cana-1246	46	4	,	,	PUNCT
cana-1246	46	5	𝑥2	𝑥2	NOUN
cana-1246	46	6	,	,	PUNCT
cana-1246	46	7	𝑥3	𝑥3	NOUN
cana-1246	46	8	,	,	PUNCT
cana-1246	46	9	𝑥4	𝑥4	NOUN
cana-1246	46	10	,	,	PUNCT
cana-1246	46	11	𝑥5	𝑥5	PROPN
cana-1246	46	12	)	)	PUNCT
cana-1246	46	13	therefore	therefore	ADV
cana-1246	46	14	(	(	PUNCT
cana-1246	46	15	0,0,0,0,0	0,0,0,0,0	NOUN
cana-1246	46	16	)	)	PUNCT
cana-1246	46	17	is	be	AUX
cana-1246	46	18	the	the	DET
cana-1246	46	19	identity	identity	NOUN
cana-1246	46	20	element	element	NOUN
cana-1246	46	21	of	of	ADP
cana-1246	46	22	ℋ	ℋ	PROPN
cana-1246	46	23	(	(	PUNCT
cana-1246	46	24	iii	iii	NOUN
cana-1246	46	25	)	)	PUNCT
cana-1246	46	26	existence	existence	NOUN
cana-1246	46	27	of	of	ADP
cana-1246	46	28	inverse	inverse	NOUN
cana-1246	46	29	element	element	NOUN
cana-1246	46	30	:	:	PUNCT
cana-1246	46	31	for	for	ADP
cana-1246	46	32	any(𝑥1	any(𝑥1	ADJ
cana-1246	46	33	,	,	PUNCT
cana-1246	46	34	𝑥2	𝑥2	NOUN
cana-1246	46	35	,	,	PUNCT
cana-1246	46	36	𝑥3	𝑥3	NOUN
cana-1246	46	37	,	,	PUNCT
cana-1246	46	38	𝑥4	𝑥4	NOUN
cana-1246	46	39	,	,	PUNCT
cana-1246	46	40	𝑥5)∈ℋ	𝑥5)∈ℋ	INTJ
cana-1246	46	41	,	,	PUNCT
cana-1246	46	42	its	its	PRON
cana-1246	46	43	inverse	inverse	NOUN
cana-1246	46	44	is	be	AUX
cana-1246	46	45	computed	compute	VERB
cana-1246	46	46	as	as	SCONJ
cana-1246	46	47	follows	follow	VERB
cana-1246	46	48	.	.	PUNCT
cana-1246	47	1	(	(	PUNCT
cana-1246	47	2	𝑥1	𝑥1	NOUN
cana-1246	47	3	,	,	PUNCT
cana-1246	47	4	𝑥2	𝑥2	NOUN
cana-1246	47	5	,	,	PUNCT
cana-1246	47	6	𝑥3	𝑥3	NOUN
cana-1246	47	7	,	,	PUNCT
cana-1246	47	8	𝑥4	𝑥4	PROPN
cana-1246	47	9	,	,	PUNCT
cana-1246	47	10	𝑥5)⋅(𝑦1	𝑥5)⋅(𝑦1	PROPN
cana-1246	47	11	,	,	PUNCT
cana-1246	47	12	𝑦2	𝑦2	PROPN
cana-1246	47	13	,	,	PUNCT
cana-1246	47	14	𝑦3	𝑦3	PROPN
cana-1246	47	15	,	,	PUNCT
cana-1246	47	16	𝑦4	𝑦4	NOUN
cana-1246	47	17	,	,	PUNCT
cana-1246	47	18	𝑦5	𝑦5	NOUN
cana-1246	47	19	)	)	PUNCT
cana-1246	47	20	=	=	SYM
cana-1246	47	21	(	(	PUNCT
cana-1246	47	22	0,0,0,0,0	0,0,0,0,0	NOUN
cana-1246	47	23	)	)	PUNCT
cana-1246	47	24	⟹(𝑥1	⟹(𝑥1	NUM
cana-1246	48	1	+	+	PUNCT
cana-1246	48	2	𝑦1	𝑦1	NOUN
cana-1246	48	3	,	,	PUNCT
cana-1246	48	4	𝑥2	𝑥2	NOUN
cana-1246	48	5	+	+	CCONJ
cana-1246	48	6	𝑦2	𝑦2	NOUN
cana-1246	48	7	,	,	PUNCT
cana-1246	48	8	𝑥3	𝑥3	NOUN
cana-1246	48	9	+	+	CCONJ
cana-1246	48	10	𝑦3	𝑦3	PROPN
cana-1246	48	11	,	,	PUNCT
cana-1246	48	12	𝑥4	𝑥4	NOUN
cana-1246	48	13	+	+	CCONJ
cana-1246	48	14	𝑦4	𝑦4	NOUN
cana-1246	48	15	,	,	PUNCT
cana-1246	48	16	𝑥5	𝑥5	PROPN
cana-1246	48	17	+	+	CCONJ
cana-1246	48	18	𝑦5	𝑦5	NOUN
cana-1246	48	19	+	+	CCONJ
cana-1246	48	20	𝑥1𝑦3	𝑥1𝑦3	PUNCT
cana-1246	48	21	+	+	CCONJ
cana-1246	48	22	𝑥2𝑦4	𝑥2𝑦4	X
cana-1246	48	23	)	)	PUNCT
cana-1246	48	24	=	=	SYM
cana-1246	48	25	(	(	PUNCT
cana-1246	48	26	0,0,0,0,0	0,0,0,0,0	NOUN
cana-1246	48	27	)	)	PUNCT
cana-1246	48	28	⟹𝑥1	⟹𝑥1	PROPN
cana-1246	49	1	+	+	CCONJ
cana-1246	49	2	𝑦1	𝑦1	NOUN
cana-1246	49	3	=	=	SYM
cana-1246	49	4	0	0	NUM
cana-1246	49	5	,	,	PUNCT
cana-1246	49	6	𝑥2	𝑥2	NOUN
cana-1246	49	7	+	+	CCONJ
cana-1246	49	8	𝑦2	𝑦2	NOUN
cana-1246	49	9	=	=	SYM
cana-1246	49	10	0	0	NUM
cana-1246	49	11	,	,	PUNCT
cana-1246	49	12	𝑥3	𝑥3	NOUN
cana-1246	49	13	+	+	CCONJ
cana-1246	49	14	𝑦3	𝑦3	PROPN
cana-1246	49	15	=	=	SYM
cana-1246	49	16	0	0	NUM
cana-1246	49	17	,	,	PUNCT
cana-1246	49	18	𝑥4	𝑥4	NOUN
cana-1246	49	19	+	+	CCONJ
cana-1246	49	20	𝑦4	𝑦4	PROPN
cana-1246	49	21	=	=	SYM
cana-1246	49	22	0	0	NUM
cana-1246	49	23	,	,	PUNCT
cana-1246	49	24	𝑥5	𝑥5	PROPN
cana-1246	49	25	+	+	CCONJ
cana-1246	49	26	𝑦5	𝑦5	NOUN
cana-1246	49	27	+	+	CCONJ
cana-1246	49	28	𝑥1𝑦3	𝑥1𝑦3	PUNCT
cana-1246	49	29	+	+	CCONJ
cana-1246	49	30	𝑥2𝑦4	𝑥2𝑦4	X
cana-1246	49	31	=	=	SYM
cana-1246	49	32	0	0	NUM
cana-1246	49	33	⟹	⟹	NUM
cana-1246	49	34	𝑦1	𝑦1	PROPN
cana-1246	49	35	=	=	SYM
cana-1246	49	36	−𝑥1	−𝑥1	PROPN
cana-1246	49	37	,	,	PUNCT
cana-1246	49	38	𝑦2	𝑦2	PROPN
cana-1246	49	39	=	=	SYM
cana-1246	49	40	−𝑥2	−𝑥2	PROPN
cana-1246	49	41	,	,	PUNCT
cana-1246	49	42	𝑦3	𝑦3	PROPN
cana-1246	49	43	=	=	SYM
cana-1246	49	44	−𝑥3	−𝑥3	PROPN
cana-1246	49	45	,	,	PUNCT
cana-1246	49	46	𝑦4	𝑦4	PROPN
cana-1246	49	47	=	=	SYM
cana-1246	49	48	−𝑥4	−𝑥4	NOUN
cana-1246	49	49	,	,	PUNCT
cana-1246	49	50	𝑦5	𝑦5	NOUN
cana-1246	49	51	=	=	PUNCT
cana-1246	50	1	−𝑥5	−𝑥5	PROPN
cana-1246	51	1	+	+	CCONJ
cana-1246	51	2	𝑥1𝑥3	𝑥1𝑥3	PUNCT
cana-1246	51	3	+	+	CCONJ
cana-1246	51	4	𝑥2𝑥4	𝑥2𝑥4	PROPN
cana-1246	51	5	∴	∴	PROPN
cana-1246	51	6	(	(	PUNCT
cana-1246	51	7	𝑥1	𝑥1	NOUN
cana-1246	51	8	,	,	PUNCT
cana-1246	51	9	𝑥2	𝑥2	NOUN
cana-1246	51	10	,	,	PUNCT
cana-1246	51	11	𝑥3	𝑥3	NOUN
cana-1246	51	12	,	,	PUNCT
cana-1246	51	13	𝑥4	𝑥4	NOUN
cana-1246	51	14	,	,	PUNCT
cana-1246	51	15	𝑥5)−1	𝑥5)−1	NOUN
cana-1246	51	16	=	=	SYM
cana-1246	51	17	(	(	PUNCT
cana-1246	51	18	−𝑥1	−𝑥1	PROPN
cana-1246	51	19	,	,	PUNCT
cana-1246	51	20	−𝑥2	−𝑥2	PROPN
cana-1246	51	21	,	,	PUNCT
cana-1246	51	22	−𝑥3	−𝑥3	PROPN
cana-1246	51	23	,	,	PUNCT
cana-1246	51	24	−𝑥4	−𝑥4	NOUN
cana-1246	51	25	,	,	PUNCT
cana-1246	51	26	−𝑥5	−𝑥5	PROPN
cana-1246	51	27	+	+	CCONJ
cana-1246	51	28	𝑥1𝑥3	𝑥1𝑥3	PUNCT
cana-1246	51	29	+	+	CCONJ
cana-1246	51	30	𝑥2𝑥4)𝑚𝑜𝑑	𝑥2𝑥4)𝑚𝑜𝑑	PUNCT
cana-1246	51	31	𝑝	𝑝	NOUN
cana-1246	51	32	(	(	PUNCT
cana-1246	51	33	iv	iv	X
cana-1246	51	34	)	)	PUNCT
cana-1246	51	35	(	(	PUNCT
cana-1246	51	36	𝑥1	𝑥1	NOUN
cana-1246	51	37	,	,	PUNCT
cana-1246	51	38	𝑥2	𝑥2	NOUN
cana-1246	51	39	,	,	PUNCT
cana-1246	51	40	𝑥3	𝑥3	NOUN
cana-1246	51	41	,	,	PUNCT
cana-1246	51	42	𝑥4	𝑥4	NOUN
cana-1246	51	43	,	,	PUNCT
cana-1246	51	44	𝑥5)𝑛	𝑥5)𝑛	NOUN
cana-1246	51	45	=	=	PUNCT
cana-1246	51	46	(	(	PUNCT
cana-1246	51	47	𝑛𝑥1	𝑛𝑥1	PROPN
cana-1246	51	48	,	,	PUNCT
cana-1246	51	49	𝑛𝑥2	𝑛𝑥2	PROPN
cana-1246	51	50	,	,	PUNCT
cana-1246	51	51	𝑛𝑥3	𝑛𝑥3	NOUN
cana-1246	51	52	,	,	PUNCT
cana-1246	51	53	𝑛𝑥4	𝑛𝑥4	ADJ
cana-1246	51	54	,	,	PUNCT
cana-1246	51	55	𝑛𝑥5	𝑛𝑥5	X
cana-1246	51	56	+	+	CCONJ
cana-1246	51	57	𝑛2(𝑥1𝑥3	𝑛2(𝑥1𝑥3	PROPN
cana-1246	51	58	+	+	CCONJ
cana-1246	51	59	𝑥2𝑥4))𝑚𝑜𝑑	𝑥2𝑥4))𝑚𝑜𝑑	PROPN
cana-1246	51	60	𝑝	𝑝	ADP
cana-1246	51	61	this	this	PRON
cana-1246	51	62	can	can	AUX
cana-1246	51	63	be	be	AUX
cana-1246	51	64	proved	prove	VERB
cana-1246	51	65	by	by	ADP
cana-1246	51	66	mathematical	mathematical	ADJ
cana-1246	51	67	induction	induction	NOUN
cana-1246	51	68	2.2	2.2	NUM
cana-1246	51	69	conjugacy	conjugacy	ADJ
cana-1246	51	70	serach	serach	NOUN
cana-1246	51	71	problem	problem	NOUN
cana-1246	51	72	:	:	PUNCT
cana-1246	51	73	the	the	DET
cana-1246	51	74	conjugacy	conjugacy	PROPN
cana-1246	51	75	search	search	NOUN
cana-1246	51	76	problem	problem	NOUN
cana-1246	51	77	(	(	PUNCT
cana-1246	51	78	csp	csp	PROPN
cana-1246	51	79	):	):	PUNCT
cana-1246	51	80	given	give	VERB
cana-1246	51	81	a	a	DET
cana-1246	51	82	recursive	recursive	ADJ
cana-1246	51	83	presentation	presentation	NOUN
cana-1246	51	84	of	of	ADP
cana-1246	51	85	a	a	DET
cana-1246	51	86	group	group	NOUN
cana-1246	51	87	g	g	NOUN
cana-1246	51	88	and	and	CCONJ
cana-1246	51	89	two	two	NUM
cana-1246	51	90	conjugate	conjugate	ADJ
cana-1246	51	91	elements	element	NOUN
cana-1246	51	92	𝑥	𝑥	NOUN
cana-1246	51	93	,	,	PUNCT
cana-1246	51	94	𝑦	𝑦	PROPN
cana-1246	51	95	∈	∈	PROPN
cana-1246	51	96	𝐺	𝐺	NOUN
cana-1246	51	97	,	,	PUNCT
cana-1246	51	98	find	find	VERB
cana-1246	51	99	a	a	DET
cana-1246	51	100	particular	particular	ADJ
cana-1246	51	101	element	element	NOUN
cana-1246	51	102	𝑔	𝑔	PROPN
cana-1246	51	103	∈	∈	PROPN
cana-1246	51	104	𝐺	𝐺	NOUN
cana-1246	51	105	such	such	ADJ
cana-1246	51	106	that	that	DET
cana-1246	51	107	𝑔−1𝑥𝑔	𝑔−1𝑥𝑔	NOUN
cana-1246	52	1	=	=	PUNCT
cana-1246	52	2	𝑦.	𝑦.	PROPN
cana-1246	52	3	2.3	2.3	NUM
cana-1246	52	4	conjugacy	conjugacy	ADJ
cana-1246	52	5	search	search	NOUN
cana-1246	52	6	problem	problem	NOUN
cana-1246	52	7	in	in	ADP
cana-1246	52	8	discrete	discrete	ADJ
cana-1246	52	9	heisenberg	heisenberg	PROPN
cana-1246	52	10	group	group	NOUN
cana-1246	52	11	:	:	PUNCT
cana-1246	52	12	the	the	DET
cana-1246	52	13	elements	element	NOUN
cana-1246	52	14	of	of	ADP
cana-1246	52	15	the	the	DET
cana-1246	52	16	conjugacy	conjugacy	PROPN
cana-1246	52	17	search	search	NOUN
cana-1246	52	18	problem	problem	NOUN
cana-1246	52	19	are	be	AUX
cana-1246	52	20	chosen	choose	VERB
cana-1246	52	21	from	from	ADP
cana-1246	52	22	the	the	DET
cana-1246	52	23	discrete	discrete	ADJ
cana-1246	52	24	heisenberg	heisenberg	PROPN
cana-1246	52	25	group	group	PROPN
cana-1246	52	26	ℋ	ℋ	PROPN
cana-1246	52	27	with	with	ADP
cana-1246	52	28	condition	condition	NOUN
cana-1246	52	29	be	be	AUX
cana-1246	52	30	described	describe	VERB
cana-1246	52	31	below	below	ADP
cana-1246	52	32	for	for	ADP
cana-1246	52	33	two	two	NUM
cana-1246	52	34	party	party	NOUN
cana-1246	52	35	protocol	protocol	NOUN
cana-1246	52	36	and	and	CCONJ
cana-1246	52	37	generate	generate	VERB
cana-1246	52	38	the	the	DET
cana-1246	52	39	common	common	ADJ
cana-1246	52	40	public	public	ADJ
cana-1246	52	41	key	key	NOUN
cana-1246	52	42	.	.	PUNCT
cana-1246	53	1	two	two	NUM
cana-1246	53	2	parties	party	NOUN
cana-1246	53	3	𝐴1	𝐴1	PROPN
cana-1246	53	4	and	and	CCONJ
cana-1246	53	5	𝐴2	𝐴2	PROPN
cana-1246	53	6	agree	agree	VERB
cana-1246	53	7	on	on	ADP
cana-1246	53	8	a	a	DET
cana-1246	53	9	finite	finite	ADJ
cana-1246	53	10	non	non	ADJ
cana-1246	53	11	-	-	ADJ
cana-1246	53	12	abelian	abelian	ADJ
cana-1246	53	13	group	group	NOUN
cana-1246	53	14	,	,	PUNCT
cana-1246	54	1	discrete	discrete	ADJ
cana-1246	54	2	heisenberg	heisenberg	PROPN
cana-1246	54	3	group	group	PROPN
cana-1246	54	4	ℋ	ℋ	PROPN
cana-1246	54	5	=	=	SYM
cana-1246	54	6	𝑍𝑝	𝑍𝑝	NOUN
cana-1246	54	7	5	5	NUM
cana-1246	54	8	and	and	CCONJ
cana-1246	54	9	𝐴1	𝐴1	PROPN
cana-1246	54	10	publishes	publish	VERB
cana-1246	54	11	an	an	DET
cana-1246	54	12	element	element	NOUN
cana-1246	54	13	𝑥	𝑥	PRON
cana-1246	54	14	∈	∈	PROPN
cana-1246	54	15	ℋ	ℋ	PROPN
cana-1246	54	16	such	such	ADJ
cana-1246	54	17	that	that	SCONJ
cana-1246	54	18	𝑥	𝑥	PROPN
cana-1246	54	19	does	do	AUX
cana-1246	54	20	not	not	PART
cana-1246	54	21	commute	commute	VERB
cana-1246	54	22	with	with	ADP
cana-1246	54	23	𝑔1	𝑔1	PROPN
cana-1246	54	24	and	and	CCONJ
cana-1246	54	25	𝑔2	𝑔2	NOUN
cana-1246	54	26	.	.	PUNCT
cana-1246	55	1	𝐴1	𝐴1	PROPN
cana-1246	55	2	chooses	choose	VERB
cana-1246	55	3	an	an	DET
cana-1246	55	4	element	element	NOUN
cana-1246	55	5	𝑔1	𝑔1	PROPN
cana-1246	55	6	∈	∈	PROPN
cana-1246	55	7	𝐺1	𝐺1	NOUN
cana-1246	55	8	,	,	PUNCT
cana-1246	55	9	computes	compute	VERB
cana-1246	55	10	𝑔1	𝑔1	PROPN
cana-1246	55	11	−1𝑥𝑔1	−1𝑥𝑔1	NOUN
cana-1246	55	12	and	and	CCONJ
cana-1246	55	13	sends	send	VERB
cana-1246	55	14	it	it	PRON
cana-1246	55	15	to	to	ADP
cana-1246	55	16	𝐴2	𝐴2	PROPN
cana-1246	55	17	𝐴2	𝐴2	PROPN
cana-1246	55	18	chooses	choose	VERB
cana-1246	55	19	an	an	DET
cana-1246	55	20	element	element	NOUN
cana-1246	55	21	𝑔2	𝑔2	NOUN
cana-1246	55	22	∈	∈	PROPN
cana-1246	55	23	𝐺1	𝐺1	NOUN
cana-1246	55	24	,	,	PUNCT
cana-1246	55	25	computes	compute	VERB
cana-1246	55	26	𝑔2	𝑔2	VERB
cana-1246	55	27	−1𝑥𝑔2	−1𝑥𝑔2	NOUN
cana-1246	55	28	and	and	CCONJ
cana-1246	55	29	sends	send	VERB
cana-1246	55	30	it	it	PRON
cana-1246	55	31	to	to	ADP
cana-1246	55	32	𝐴1	𝐴1	PROPN
cana-1246	55	33	on	on	ADP
cana-1246	55	34	knowing	know	VERB
cana-1246	55	35	𝑔1	𝑔1	PROPN
cana-1246	55	36	,	,	PUNCT
cana-1246	55	37	𝐴1	𝐴1	PROPN
cana-1246	55	38	computes	compute	VERB
cana-1246	55	39	𝐾𝐴	𝐾𝐴	NOUN
cana-1246	55	40	=	=	SYM
cana-1246	55	41	𝑔1	𝑔1	PROPN
cana-1246	55	42	−1𝑔2	−1𝑔2	NUM
cana-1246	55	43	−1𝑥𝑔2𝑔1	−1𝑥𝑔2𝑔1	PROPN
cana-1246	55	44	.	.	PUNCT
cana-1246	56	1	on	on	ADP
cana-1246	56	2	knowing	know	VERB
cana-1246	56	3	𝑔2	𝑔2	NOUN
cana-1246	56	4	,	,	PUNCT
cana-1246	56	5	𝐴2	𝐴2	PROPN
cana-1246	56	6	computes	compute	VERB
cana-1246	56	7	𝐾𝐵	𝐾𝐵	NOUN
cana-1246	56	8	=	=	NOUN
cana-1246	56	9	𝑔2	𝑔2	VERB
cana-1246	56	10	−1𝑔1	−1𝑔1	NOUN
cana-1246	56	11	−1𝑥𝑔1𝑔2	−1𝑥𝑔1𝑔2	ADV
cana-1246	56	12	.	.	PUNCT
cana-1246	57	1	𝐾𝐴	𝐾𝐴	PROPN
cana-1246	57	2	=	=	SYM
cana-1246	57	3	𝐾𝐵	𝐾𝐵	PROPN
cana-1246	57	4	is	be	AUX
cana-1246	57	5	there	there	PRON
cana-1246	57	6	common	common	ADJ
cana-1246	57	7	shared	shared	ADJ
cana-1246	57	8	key	key	NOUN
cana-1246	57	9	.	.	PUNCT
cana-1246	58	1	2.4	2.4	NUM
cana-1246	58	2	commutative	commutative	ADJ
cana-1246	58	3	condition	condition	NOUN
cana-1246	58	4	:	:	PUNCT
cana-1246	58	5	let	let	VERB
cana-1246	58	6	us	we	PRON
cana-1246	58	7	consider	consider	VERB
cana-1246	58	8	𝑔1	𝑔1	PROPN
cana-1246	58	9	=	=	SYM
cana-1246	58	10	(	(	PUNCT
cana-1246	58	11	𝑥1	𝑥1	NOUN
cana-1246	58	12	,	,	PUNCT
cana-1246	58	13	𝑥2	𝑥2	NOUN
cana-1246	58	14	,	,	PUNCT
cana-1246	58	15	𝑥3	𝑥3	NOUN
cana-1246	58	16	,	,	PUNCT
cana-1246	58	17	𝑥4	𝑥4	NOUN
cana-1246	58	18	,	,	PUNCT
cana-1246	58	19	𝑥5	𝑥5	NUM
cana-1246	58	20	)	)	PUNCT
cana-1246	58	21	and	and	CCONJ
cana-1246	58	22	𝑔2	𝑔2	NOUN
cana-1246	58	23	=	=	SYM
cana-1246	58	24	(	(	PUNCT
cana-1246	58	25	𝑦1	𝑦1	PROPN
cana-1246	58	26	,	,	PUNCT
cana-1246	58	27	𝑦2	𝑦2	PROPN
cana-1246	58	28	,	,	PUNCT
cana-1246	58	29	𝑦3	𝑦3	PROPN
cana-1246	58	30	,	,	PUNCT
cana-1246	58	31	𝑦4	𝑦4	NOUN
cana-1246	58	32	,	,	PUNCT
cana-1246	58	33	𝑦5	𝑦5	NOUN
cana-1246	58	34	)	)	PUNCT
cana-1246	58	35	𝑔1	𝑔1	PROPN
cana-1246	58	36	.	.	PUNCT
cana-1246	59	1	𝑔2	𝑔2	NOUN
cana-1246	59	2	=	=	SYM
cana-1246	59	3	(	(	PUNCT
cana-1246	59	4	𝑥1	𝑥1	NOUN
cana-1246	59	5	+	+	CCONJ
cana-1246	59	6	𝑦1	𝑦1	PROPN
cana-1246	59	7	,	,	PUNCT
cana-1246	59	8	𝑥2	𝑥2	NOUN
cana-1246	59	9	+	+	CCONJ
cana-1246	59	10	𝑦2	𝑦2	NOUN
cana-1246	59	11	,	,	PUNCT
cana-1246	59	12	𝑥3	𝑥3	NOUN
cana-1246	59	13	+	+	CCONJ
cana-1246	59	14	𝑦3	𝑦3	PROPN
cana-1246	59	15	,	,	PUNCT
cana-1246	59	16	𝑥4	𝑥4	NOUN
cana-1246	59	17	+	+	CCONJ
cana-1246	59	18	𝑦4	𝑦4	NOUN
cana-1246	59	19	,	,	PUNCT
cana-1246	59	20	𝑥5	𝑥5	PROPN
cana-1246	59	21	+	+	CCONJ
cana-1246	59	22	𝑦5	𝑦5	NOUN
cana-1246	59	23	+	+	CCONJ
cana-1246	59	24	𝑥1𝑦3	𝑥1𝑦3	PUNCT
cana-1246	59	25	+	+	NUM
cana-1246	59	26	𝑥2𝑦4)𝑚𝑜𝑑	𝑥2𝑦4)𝑚𝑜𝑑	X
cana-1246	59	27	𝑝	𝑝	NOUN
cana-1246	59	28	and	and	CCONJ
cana-1246	59	29	𝑔2	𝑔2	VERB
cana-1246	59	30	.	.	PUNCT
cana-1246	60	1	𝑔1	𝑔1	PROPN
cana-1246	60	2	=	=	PUNCT
cana-1246	60	3	(	(	PUNCT
cana-1246	60	4	𝑦1	𝑦1	PROPN
cana-1246	60	5	+	+	CCONJ
cana-1246	60	6	𝑥1	𝑥1	PROPN
cana-1246	60	7	,	,	PUNCT
cana-1246	60	8	𝑦2	𝑦2	NOUN
cana-1246	60	9	+	+	CCONJ
cana-1246	60	10	𝑥2	𝑥2	NOUN
cana-1246	60	11	,	,	PUNCT
cana-1246	60	12	𝑦3	𝑦3	PROPN
cana-1246	60	13	+	+	CCONJ
cana-1246	60	14	𝑥3	𝑥3	NOUN
cana-1246	60	15	,	,	PUNCT
cana-1246	60	16	𝑦4	𝑦4	PROPN
cana-1246	60	17	+	+	CCONJ
cana-1246	60	18	𝑥4	𝑥4	ADJ
cana-1246	60	19	,	,	PUNCT
cana-1246	60	20	𝑦5	𝑦5	NOUN
cana-1246	60	21	+	+	CCONJ
cana-1246	60	22	𝑥5	𝑥5	PROPN
cana-1246	60	23	+	+	CCONJ
cana-1246	60	24	𝑦1𝑥3	𝑦1𝑥3	X
cana-1246	60	25	+	+	CCONJ
cana-1246	60	26	𝑦2𝑥4)𝑚𝑜𝑑	𝑦2𝑥4)𝑚𝑜𝑑	X
cana-1246	60	27	𝑝	𝑝	PROPN
cana-1246	60	28	if	if	SCONJ
cana-1246	60	29	𝑔1	𝑔1	PROPN
cana-1246	60	30	.	.	PUNCT
cana-1246	61	1	𝑔2	𝑔2	NOUN
cana-1246	61	2	=	=	SYM
cana-1246	61	3	𝑔2	𝑔2	NOUN
cana-1246	61	4	.	.	PUNCT
cana-1246	62	1	𝑔1	𝑔1	PROPN
cana-1246	62	2	then	then	ADV
cana-1246	62	3	for	for	ADP
cana-1246	62	4	5	5	NUM
cana-1246	62	5	-	-	PUNCT
cana-1246	62	6	tuple	tuple	NOUN
cana-1246	62	7	be	be	AUX
cana-1246	62	8	identically	identically	ADV
cana-1246	62	9	equal	equal	ADJ
cana-1246	62	10	.	.	PUNCT
cana-1246	63	1	so	so	ADV
cana-1246	63	2	first	first	ADJ
cana-1246	63	3	four	four	NUM
cana-1246	63	4	values	value	NOUN
cana-1246	63	5	are	be	AUX
cana-1246	63	6	exactly	exactly	ADV
cana-1246	63	7	equal	equal	ADJ
cana-1246	63	8	.	.	PUNCT
cana-1246	64	1	but	but	CCONJ
cana-1246	64	2	for	for	ADP
cana-1246	64	3	fifth	fifth	ADJ
cana-1246	64	4	value	value	NOUN
cana-1246	64	5	is	be	AUX
cana-1246	64	6	equal	equal	ADJ
cana-1246	64	7	if	if	SCONJ
cana-1246	64	8	𝑥1𝑦3	𝑥1𝑦3	PUNCT
cana-1246	64	9	+	+	NUM
cana-1246	64	10	𝑥2𝑦4	𝑥2𝑦4	X
cana-1246	64	11	=	=	X
cana-1246	64	12	𝑦1𝑥3	𝑦1𝑥3	X
cana-1246	64	13	+	+	CCONJ
cana-1246	64	14	𝑦2𝑥4	𝑦2𝑥4	PROPN
cana-1246	64	15	.	.	NOUN
cana-1246	64	16	2.5	2.5	NUM
cana-1246	64	17	inverse	inverse	NOUN
cana-1246	64	18	element	element	NOUN
cana-1246	64	19	:	:	PUNCT
cana-1246	64	20	the	the	DET
cana-1246	64	21	inverse	inverse	NOUN
cana-1246	64	22	of	of	ADP
cana-1246	64	23	𝑔1and	𝑔1and	NOUN
cana-1246	64	24	𝑔2are	𝑔2are	PROPN
cana-1246	64	25	𝑔1	𝑔1	PROPN
cana-1246	64	26	−1	−1	NOUN
cana-1246	64	27	=	=	SYM
cana-1246	64	28	(	(	PUNCT
cana-1246	64	29	−𝑥1	−𝑥1	PROPN
cana-1246	64	30	,	,	PUNCT
cana-1246	64	31	−𝑥2	−𝑥2	PROPN
cana-1246	64	32	,	,	PUNCT
cana-1246	64	33	−𝑥3	−𝑥3	PROPN
cana-1246	64	34	,	,	PUNCT
cana-1246	64	35	−𝑥4	−𝑥4	NOUN
cana-1246	64	36	,	,	PUNCT
cana-1246	64	37	−𝑥5	−𝑥5	PROPN
cana-1246	64	38	+	+	CCONJ
cana-1246	64	39	𝑥1𝑥3	𝑥1𝑥3	PUNCT
cana-1246	64	40	+	+	CCONJ
cana-1246	64	41	𝑥2𝑥4	𝑥2𝑥4	X
cana-1246	64	42	)	)	PUNCT
cana-1246	64	43	and	and	CCONJ
cana-1246	64	44	𝑔2	𝑔2	VERB
cana-1246	64	45	−1	−1	NOUN
cana-1246	64	46	=	=	SYM
cana-1246	64	47	(	(	PUNCT
cana-1246	64	48	−𝑦1	−𝑦1	PROPN
cana-1246	64	49	,	,	PUNCT
cana-1246	64	50	−𝑦2	−𝑦2	PROPN
cana-1246	64	51	,	,	PUNCT
cana-1246	64	52	−𝑦3	−𝑦3	PROPN
cana-1246	64	53	,	,	PUNCT
cana-1246	64	54	−𝑦4	−𝑦4	PROPN
cana-1246	64	55	,	,	PUNCT
cana-1246	64	56	−𝑦5	−𝑦5	PROPN
cana-1246	64	57	+	+	CCONJ
cana-1246	64	58	𝑦1𝑦3	𝑦1𝑦3	PROPN
cana-1246	64	59	+	+	NUM
cana-1246	64	60	𝑦2𝑦4	𝑦2𝑦4	NOUN
cana-1246	64	61	)	)	PUNCT
cana-1246	64	62	now	now	ADV
cana-1246	64	63	𝑔1	𝑔1	PROPN
cana-1246	64	64	−1	−1	NOUN
cana-1246	64	65	.	.	PUNCT
cana-1246	65	1	𝑔2	𝑔2	NOUN
cana-1246	65	2	−1	−1	NOUN
cana-1246	65	3	=	=	SYM
cana-1246	65	4	(	(	PUNCT
cana-1246	65	5	−𝑥1	−𝑥1	PROPN
cana-1246	65	6	−	−	PROPN
cana-1246	65	7	𝑦1	𝑦1	PROPN
cana-1246	65	8	,	,	PUNCT
cana-1246	65	9	−𝑥2	−𝑥2	VERB
cana-1246	65	10	−	−	PROPN
cana-1246	65	11	𝑦2	𝑦2	PROPN
cana-1246	65	12	,	,	PUNCT
cana-1246	65	13	−𝑥3	−𝑥3	PROPN
cana-1246	65	14	−	−	PROPN
cana-1246	65	15	𝑦3	𝑦3	PROPN
cana-1246	65	16	,	,	PUNCT
cana-1246	65	17	−𝑥4	−𝑥4	NOUN
cana-1246	65	18	−	−	PROPN
cana-1246	65	19	𝑦4	𝑦4	NOUN
cana-1246	65	20	,	,	PUNCT
cana-1246	65	21	−𝑥5	−𝑥5	PROPN
cana-1246	65	22	−	−	PROPN
cana-1246	66	1	𝑦5	𝑦5	PROPN
cana-1246	66	2	+	+	CCONJ
cana-1246	66	3	(	(	PUNCT
cana-1246	66	4	−𝑥1)(−𝑦3	−𝑥1)(−𝑦3	NOUN
cana-1246	66	5	)	)	PUNCT
cana-1246	66	6	+	+	CCONJ
cana-1246	66	7	(	(	PUNCT
cana-1246	66	8	−𝑥2)(−𝑦4	−𝑥2)(−𝑦4	NOUN
cana-1246	66	9	)	)	PUNCT
cana-1246	66	10	)	)	PUNCT
cana-1246	67	1	=	=	PUNCT
cana-1246	67	2	(	(	PUNCT
cana-1246	67	3	−(𝑥1	−(𝑥1	X
cana-1246	67	4	+	+	CCONJ
cana-1246	67	5	𝑦1	𝑦1	NOUN
cana-1246	67	6	)	)	PUNCT
cana-1246	67	7	,	,	PUNCT
cana-1246	67	8	−(𝑥2	−(𝑥2	NUM
cana-1246	67	9	+	+	NUM
cana-1246	67	10	𝑦2	𝑦2	NOUN
cana-1246	67	11	)	)	PUNCT
cana-1246	67	12	,	,	PUNCT
cana-1246	67	13	−(𝑥3	−(𝑥3	PROPN
cana-1246	67	14	+	+	CCONJ
cana-1246	67	15	𝑦3	𝑦3	PROPN
cana-1246	67	16	)	)	PUNCT
cana-1246	67	17	,	,	PUNCT
cana-1246	67	18	−(𝑥4	−(𝑥4	X
cana-1246	67	19	+	+	NUM
cana-1246	67	20	𝑦4	𝑦4	NOUN
cana-1246	67	21	)	)	PUNCT
cana-1246	67	22	,	,	PUNCT
cana-1246	67	23	−(𝑥5	−(𝑥5	PRON
cana-1246	67	24	+	+	CCONJ
cana-1246	67	25	𝑦5	𝑦5	NOUN
cana-1246	67	26	)	)	PUNCT
cana-1246	68	1	+	+	CCONJ
cana-1246	68	2	𝑥1𝑦3	𝑥1𝑦3	PUNCT
cana-1246	68	3	+	+	CCONJ
cana-1246	68	4	𝑥2𝑦4	𝑥2𝑦4	X
cana-1246	68	5	)	)	PUNCT
cana-1246	68	6	communications	communication	NOUN
cana-1246	68	7	on	on	ADP
cana-1246	68	8	applied	apply	VERB
cana-1246	68	9	nonlinear	nonlinear	ADJ
cana-1246	68	10	analysis	analysis	NOUN
cana-1246	68	11	issn	issn	NOUN
cana-1246	68	12	:	:	PUNCT
cana-1246	68	13	1074	1074	NUM
cana-1246	68	14	-	-	PUNCT
cana-1246	68	15	133x	133x	NUM
cana-1246	68	16	vol	vol	NOUN
cana-1246	68	17	31	31	NUM
cana-1246	68	18	no	no	NOUN
cana-1246	68	19	.	.	PUNCT
cana-1246	69	1	6s	6s	NUM
cana-1246	69	2	(	(	PUNCT
cana-1246	69	3	2024	2024	NUM
cana-1246	69	4	)	)	PUNCT
cana-1246	69	5	595	595	NUM
cana-1246	69	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1246	69	7	and	and	CCONJ
cana-1246	69	8	𝑔2	𝑔2	VERB
cana-1246	69	9	−1	−1	NOUN
cana-1246	69	10	.	.	PUNCT
cana-1246	70	1	𝑔1	𝑔1	PROPN
cana-1246	70	2	−1	−1	NOUN
cana-1246	71	1	=	=	PUNCT
cana-1246	71	2	(	(	PUNCT
cana-1246	71	3	−𝑦1	−𝑦1	PROPN
cana-1246	71	4	−	−	PROPN
cana-1246	71	5	𝑥1	𝑥1	PROPN
cana-1246	71	6	,	,	PUNCT
cana-1246	71	7	−𝑦2	−𝑦2	PROPN
cana-1246	71	8	−	−	PROPN
cana-1246	71	9	𝑥2	𝑥2	NOUN
cana-1246	71	10	,	,	PUNCT
cana-1246	71	11	−𝑦3	−𝑦3	PROPN
cana-1246	71	12	−	−	PROPN
cana-1246	71	13	𝑥3	𝑥3	NOUN
cana-1246	71	14	,	,	PUNCT
cana-1246	71	15	−𝑦4	−𝑦4	PROPN
cana-1246	71	16	−	−	PROPN
cana-1246	71	17	𝑥4	𝑥4	PROPN
cana-1246	71	18	,	,	PUNCT
cana-1246	71	19	−𝑦5	−𝑦5	PROPN
cana-1246	71	20	−	−	PROPN
cana-1246	71	21	𝑥5	𝑥5	PROPN
cana-1246	71	22	+	+	CCONJ
cana-1246	71	23	(	(	PUNCT
cana-1246	71	24	−𝑦1)(−𝑥3	−𝑦1)(−𝑥3	NOUN
cana-1246	71	25	)	)	PUNCT
cana-1246	71	26	+	+	CCONJ
cana-1246	71	27	(	(	PUNCT
cana-1246	71	28	−𝑦2(−𝑥4	−𝑦2(−𝑥4	NOUN
cana-1246	71	29	)	)	PUNCT
cana-1246	71	30	)	)	PUNCT
cana-1246	71	31	=	=	PRON
cana-1246	71	32	(	(	PUNCT
cana-1246	71	33	−(𝑦1	−(𝑦1	X
cana-1246	71	34	+	+	PROPN
cana-1246	71	35	𝑥1	𝑥1	NOUN
cana-1246	71	36	)	)	PUNCT
cana-1246	71	37	,	,	PUNCT
cana-1246	71	38	−(𝑦2	−(𝑦2	X
cana-1246	71	39	+	+	CCONJ
cana-1246	71	40	𝑥2	𝑥2	NOUN
cana-1246	71	41	)	)	PUNCT
cana-1246	71	42	,	,	PUNCT
cana-1246	71	43	−(𝑦3	−(𝑦3	NUM
cana-1246	71	44	+	+	PUNCT
cana-1246	71	45	𝑥3	𝑥3	NOUN
cana-1246	71	46	)	)	PUNCT
cana-1246	71	47	,	,	PUNCT
cana-1246	71	48	−(𝑦4	−(𝑦4	X
cana-1246	71	49	+	+	NOUN
cana-1246	71	50	𝑥4	𝑥4	ADJ
cana-1246	71	51	)	)	PUNCT
cana-1246	71	52	,	,	PUNCT
cana-1246	71	53	−(𝑦5	−(𝑦5	X
cana-1246	71	54	+	+	CCONJ
cana-1246	71	55	𝑥5	𝑥5	NUM
cana-1246	71	56	)	)	PUNCT
cana-1246	72	1	+	+	CCONJ
cana-1246	72	2	𝑦1𝑥3	𝑦1𝑥3	X
cana-1246	73	1	+	+	CCONJ
cana-1246	73	2	𝑦2𝑥4	𝑦2𝑥4	X
cana-1246	73	3	)	)	PUNCT
cana-1246	73	4	if	if	SCONJ
cana-1246	73	5	𝑔1	𝑔1	PROPN
cana-1246	73	6	−1	−1	VERB
cana-1246	73	7	.	.	PUNCT
cana-1246	74	1	𝑔2	𝑔2	NOUN
cana-1246	74	2	−1	−1	NOUN
cana-1246	74	3	=	=	NOUN
cana-1246	74	4	𝑔2	𝑔2	NOUN
cana-1246	74	5	−1	−1	NOUN
cana-1246	74	6	.	.	PUNCT
cana-1246	75	1	𝑔1	𝑔1	PROPN
cana-1246	75	2	−1	−1	ADV
cana-1246	75	3	then	then	ADV
cana-1246	75	4	we	we	PRON
cana-1246	75	5	have	have	AUX
cana-1246	75	6	𝑥1𝑦3	𝑥1𝑦3	PUNCT
cana-1246	75	7	+	+	NUM
cana-1246	75	8	𝑥2𝑦4	𝑥2𝑦4	X
cana-1246	75	9	=	=	X
cana-1246	75	10	𝑦1𝑥3	𝑦1𝑥3	X
cana-1246	75	11	+	+	NUM
cana-1246	75	12	𝑦2𝑥4	𝑦2𝑥4	X
cana-1246	75	13	.	.	NOUN
cana-1246	75	14	hence	hence	ADV
cana-1246	75	15	,	,	PUNCT
cana-1246	75	16	the	the	DET
cana-1246	75	17	above	above	ADJ
cana-1246	75	18	result	result	NOUN
cana-1246	75	19	provides	provide	VERB
cana-1246	75	20	that	that	SCONJ
cana-1246	75	21	“	"	PUNCT
cana-1246	75	22	if	if	SCONJ
cana-1246	75	23	𝑔1and	𝑔1and	NOUN
cana-1246	75	24	𝑔2	𝑔2	NOUN
cana-1246	75	25	are	be	AUX
cana-1246	75	26	commute	commute	NOUN
cana-1246	75	27	each	each	DET
cana-1246	75	28	other	other	ADJ
cana-1246	75	29	then	then	ADV
cana-1246	75	30	their	their	PRON
cana-1246	75	31	inverse	inverse	NOUN
cana-1246	75	32	also	also	ADV
cana-1246	75	33	commute	commute	VERB
cana-1246	75	34	each	each	DET
cana-1246	75	35	other	other	ADJ
cana-1246	75	36	”	"	PUNCT
cana-1246	75	37	.	.	PUNCT
cana-1246	76	1	2.6	2.6	NUM
cana-1246	76	2	n	n	DET
cana-1246	76	3	tractability	tractability	NOUN
cana-1246	76	4	:	:	PUNCT
cana-1246	76	5	given	give	VERB
cana-1246	76	6	𝑥	𝑥	PRON
cana-1246	76	7	,	,	PUNCT
cana-1246	76	8	𝑦	𝑦	PROPN
cana-1246	76	9	∈	∈	PROPN
cana-1246	76	10	ℋ	ℋ	PROPN
cana-1246	76	11	,	,	PUNCT
cana-1246	76	12	find	find	VERB
cana-1246	76	13	𝑔	𝑔	SCONJ
cana-1246	76	14	such	such	ADJ
cana-1246	76	15	that	that	DET
cana-1246	76	16	𝑔−1𝑥	𝑔−1𝑥	PROPN
cana-1246	76	17	𝑔	𝑔	PROPN
cana-1246	76	18	=	=	SYM
cana-1246	76	19	𝑦.	𝑦.	PROPN
cana-1246	76	20	let	let	VERB
cana-1246	76	21	𝑥	𝑥	X
cana-1246	76	22	=	=	SYM
cana-1246	76	23	(	(	PUNCT
cana-1246	76	24	𝑥1	𝑥1	NOUN
cana-1246	76	25	,	,	PUNCT
cana-1246	76	26	𝑥2	𝑥2	NOUN
cana-1246	76	27	,	,	PUNCT
cana-1246	76	28	𝑥3	𝑥3	NOUN
cana-1246	76	29	,	,	PUNCT
cana-1246	76	30	𝑥4	𝑥4	NOUN
cana-1246	76	31	,	,	PUNCT
cana-1246	76	32	𝑥5)𝑦	𝑥5)𝑦	NOUN
cana-1246	76	33	=	=	SYM
cana-1246	76	34	(	(	PUNCT
cana-1246	76	35	𝑦1	𝑦1	PROPN
cana-1246	76	36	,	,	PUNCT
cana-1246	76	37	𝑦2	𝑦2	PROPN
cana-1246	76	38	,	,	PUNCT
cana-1246	76	39	𝑦3	𝑦3	PROPN
cana-1246	76	40	,	,	PUNCT
cana-1246	76	41	𝑦4	𝑦4	NOUN
cana-1246	76	42	,	,	PUNCT
cana-1246	76	43	𝑦5	𝑦5	NOUN
cana-1246	76	44	)	)	PUNCT
cana-1246	76	45	and	and	CCONJ
cana-1246	76	46	𝑔	𝑔	PROPN
cana-1246	76	47	=	=	SYM
cana-1246	76	48	(	(	PUNCT
cana-1246	76	49	𝑔1	𝑔1	PROPN
cana-1246	76	50	,	,	PUNCT
cana-1246	76	51	𝑔2	𝑔2	NOUN
cana-1246	76	52	,	,	PUNCT
cana-1246	76	53	𝑔3	𝑔3	ADJ
cana-1246	76	54	,	,	PUNCT
cana-1246	76	55	𝑔4	𝑔4	NOUN
cana-1246	76	56	,	,	PUNCT
cana-1246	76	57	𝑔5	𝑔5	NOUN
cana-1246	76	58	)	)	PUNCT
cana-1246	76	59	𝑔−1𝑥	𝑔−1𝑥	NOUN
cana-1246	76	60	𝑔	𝑔	NOUN
cana-1246	76	61	=	=	SYM
cana-1246	76	62	(	(	PUNCT
cana-1246	76	63	−𝑔1	−𝑔1	PROPN
cana-1246	76	64	,	,	PUNCT
cana-1246	76	65	−𝑔2	−𝑔2	PROPN
cana-1246	76	66	,	,	PUNCT
cana-1246	76	67	−𝑔3	−𝑔3	PROPN
cana-1246	76	68	,	,	PUNCT
cana-1246	76	69	−𝑔4	−𝑔4	PROPN
cana-1246	76	70	,	,	PUNCT
cana-1246	76	71	−𝑔5	−𝑔5	PROPN
cana-1246	76	72	+	+	CCONJ
cana-1246	76	73	𝑔1𝑔3	𝑔1𝑔3	PROPN
cana-1246	76	74	+	+	ADJ
cana-1246	76	75	𝑔2𝑔4)(𝑥1	𝑔2𝑔4)(𝑥1	ADJ
cana-1246	76	76	,	,	PUNCT
cana-1246	76	77	𝑥2	𝑥2	NOUN
cana-1246	76	78	,	,	PUNCT
cana-1246	76	79	𝑥3	𝑥3	NOUN
cana-1246	76	80	,	,	PUNCT
cana-1246	76	81	𝑥4	𝑥4	NOUN
cana-1246	76	82	,	,	PUNCT
cana-1246	76	83	𝑥5)(𝑔1	𝑥5)(𝑔1	NOUN
cana-1246	76	84	,	,	PUNCT
cana-1246	76	85	𝑔2	𝑔2	NOUN
cana-1246	76	86	,	,	PUNCT
cana-1246	76	87	𝑔3	𝑔3	ADJ
cana-1246	76	88	,	,	PUNCT
cana-1246	76	89	𝑔4	𝑔4	NOUN
cana-1246	76	90	,	,	PUNCT
cana-1246	76	91	𝑔5	𝑔5	PROPN
cana-1246	76	92	)	)	PUNCT
cana-1246	76	93	=	=	PUNCT
cana-1246	77	1	(	(	PUNCT
cana-1246	77	2	−𝑔1	−𝑔1	PROPN
cana-1246	77	3	+	+	CCONJ
cana-1246	77	4	𝑥1	𝑥1	PROPN
cana-1246	77	5	+	+	SYM
cana-1246	77	6	𝑔1	𝑔1	PROPN
cana-1246	77	7	,	,	PUNCT
cana-1246	77	8	−𝑔2	−𝑔2	PROPN
cana-1246	77	9	+	+	CCONJ
cana-1246	77	10	𝑥2	𝑥2	NOUN
cana-1246	77	11	+	+	CCONJ
cana-1246	77	12	𝑔2	𝑔2	NOUN
cana-1246	77	13	,	,	PUNCT
cana-1246	77	14	−𝑔3	−𝑔3	PROPN
cana-1246	77	15	+	+	CCONJ
cana-1246	77	16	𝑥3	𝑥3	PROPN
cana-1246	77	17	+	+	CCONJ
cana-1246	77	18	𝑔3	𝑔3	ADJ
cana-1246	77	19	,	,	PUNCT
cana-1246	77	20	−𝑔4	−𝑔4	PROPN
cana-1246	77	21	+	+	NUM
cana-1246	77	22	𝑥4	𝑥4	PROPN
cana-1246	77	23	+	+	CCONJ
cana-1246	77	24	𝑔4	𝑔4	NOUN
cana-1246	77	25	,	,	PUNCT
cana-1246	77	26	−𝑔5	−𝑔5	PROPN
cana-1246	77	27	+	+	NUM
cana-1246	77	28	𝑥5	𝑥5	PROPN
cana-1246	77	29	+	+	CCONJ
cana-1246	77	30	𝑔5	𝑔5	PROPN
cana-1246	77	31	+	+	CCONJ
cana-1246	77	32	𝑔1𝑔3	𝑔1𝑔3	PROPN
cana-1246	77	33	+	+	ADJ
cana-1246	77	34	𝑔2𝑔4	𝑔2𝑔4	NOUN
cana-1246	77	35	−	−	NOUN
cana-1246	77	36	𝑔1𝑥3	𝑔1𝑥3	PROPN
cana-1246	77	37	−	−	PROPN
cana-1246	77	38	𝑥4𝑔4	𝑥4𝑔4	X
cana-1246	77	39	+	+	CCONJ
cana-1246	77	40	(	(	PUNCT
cana-1246	77	41	−𝑔1	−𝑔1	NOUN
cana-1246	77	42	+	+	CCONJ
cana-1246	77	43	𝑥1)𝑔3	𝑥1)𝑔3	PROPN
cana-1246	77	44	+	+	CCONJ
cana-1246	77	45	(	(	PUNCT
cana-1246	77	46	−𝑔2	−𝑔2	PROPN
cana-1246	77	47	+	+	NUM
cana-1246	77	48	𝑥2)𝑔4	𝑥2)𝑔4	PROPN
cana-1246	77	49	)	)	PUNCT
cana-1246	77	50	𝑚𝑜𝑑	𝑚𝑜𝑑	PROPN
cana-1246	77	51	𝑝	𝑝	NOUN
cana-1246	77	52	=	=	SYM
cana-1246	77	53	(	(	PUNCT
cana-1246	77	54	𝑥1	𝑥1	NOUN
cana-1246	77	55	,	,	PUNCT
cana-1246	77	56	𝑥2	𝑥2	NOUN
cana-1246	77	57	,	,	PUNCT
cana-1246	77	58	𝑥3	𝑥3	NOUN
cana-1246	77	59	,	,	PUNCT
cana-1246	77	60	𝑥4	𝑥4	NOUN
cana-1246	77	61	,	,	PUNCT
cana-1246	77	62	𝑥5	𝑥5	ADV
cana-1246	77	63	−	−	NOUN
cana-1246	77	64	𝑔1𝑥3	𝑔1𝑥3	PROPN
cana-1246	77	65	−	−	PROPN
cana-1246	77	66	𝑔2𝑥4	𝑔2𝑥4	X
cana-1246	77	67	+	+	X
cana-1246	77	68	𝑥1𝑔3	𝑥1𝑔3	X
cana-1246	77	69	+	+	ADJ
cana-1246	77	70	𝑥2𝑔4	𝑥2𝑔4	NOUN
cana-1246	77	71	)	)	PUNCT
cana-1246	77	72	----(2	----(2	NOUN
cana-1246	77	73	)	)	PUNCT
cana-1246	77	74	now	now	ADV
cana-1246	77	75	,	,	PUNCT
cana-1246	77	76	𝑦5	𝑦5	NOUN
cana-1246	77	77	=	=	PUNCT
cana-1246	77	78	𝑥5	𝑥5	PROPN
cana-1246	77	79	−	−	PROPN
cana-1246	77	80	𝑔1𝑥3	𝑔1𝑥3	PROPN
cana-1246	77	81	−	−	PROPN
cana-1246	77	82	𝑔2𝑥4	𝑔2𝑥4	X
cana-1246	77	83	+	+	X
cana-1246	77	84	𝑥1𝑔3	𝑥1𝑔3	X
cana-1246	77	85	+	+	CCONJ
cana-1246	77	86	𝑥2𝑔4	𝑥2𝑔4	ADP
cana-1246	77	87	𝑦5	𝑦5	NOUN
cana-1246	77	88	−	−	NOUN
cana-1246	77	89	𝑥5	𝑥5	PROPN
cana-1246	77	90	=	=	PUNCT
cana-1246	77	91	−	−	PROPN
cana-1246	78	1	𝑔1𝑥3	𝑔1𝑥3	NOUN
cana-1246	78	2	−	−	PROPN
cana-1246	78	3	𝑔2𝑥4	𝑔2𝑥4	X
cana-1246	78	4	+	+	X
cana-1246	78	5	𝑥1𝑔3	𝑥1𝑔3	X
cana-1246	78	6	+	+	CCONJ
cana-1246	78	7	𝑥2𝑔4	𝑥2𝑔4	AUX
cana-1246	78	8	suppose	suppose	VERB
cana-1246	78	9	that	that	SCONJ
cana-1246	78	10	𝑦5	𝑦5	NOUN
cana-1246	78	11	−	−	PROPN
cana-1246	78	12	𝑥5	𝑥5	ADV
cana-1246	78	13	=	=	NOUN
cana-1246	78	14	0	0	PUNCT
cana-1246	79	1	then	then	ADV
cana-1246	79	2	𝑔1𝑥3	𝑔1𝑥3	PROPN
cana-1246	79	3	+	+	CCONJ
cana-1246	79	4	𝑔2𝑥4	𝑔2𝑥4	X
cana-1246	79	5	=	=	SYM
cana-1246	79	6	𝑥1𝑔3	𝑥1𝑔3	X
cana-1246	79	7	+	+	X
cana-1246	79	8	𝑥2𝑔4	𝑥2𝑔4	ADP
cana-1246	79	9	to	to	PART
cana-1246	79	10	obtain	obtain	VERB
cana-1246	79	11	the	the	DET
cana-1246	79	12	values	value	NOUN
cana-1246	79	13	of	of	ADP
cana-1246	79	14	𝑔1	𝑔1	PROPN
cana-1246	79	15	,	,	PUNCT
cana-1246	79	16	𝑔2	𝑔2	NOUN
cana-1246	79	17	,	,	PUNCT
cana-1246	79	18	𝑔3	𝑔3	ADJ
cana-1246	79	19	,	,	PUNCT
cana-1246	79	20	𝑔4	𝑔4	NOUN
cana-1246	79	21	by	by	ADP
cana-1246	79	22	using	use	VERB
cana-1246	79	23	the	the	DET
cana-1246	79	24	above	above	ADJ
cana-1246	79	25	single	single	ADJ
cana-1246	79	26	equation	equation	NOUN
cana-1246	79	27	is	be	AUX
cana-1246	79	28	very	very	ADV
cana-1246	79	29	hard	hard	ADJ
cana-1246	79	30	problem	problem	NOUN
cana-1246	79	31	in	in	ADP
cana-1246	79	32	dhg	dhg	PROPN
cana-1246	79	33	.	.	PROPN
cana-1246	80	1	3	3	NUM
cana-1246	80	2	.	.	NUM
cana-1246	80	3	five	five	NUM
cana-1246	80	4	party	party	NOUN
cana-1246	80	5	key	key	NOUN
cana-1246	80	6	agreement	agreement	NOUN
cana-1246	80	7	protocol	protocol	NOUN
cana-1246	80	8	using	use	VERB
cana-1246	80	9	csp	csp	PROPN
cana-1246	80	10	:	:	PUNCT
cana-1246	80	11	3.1	3.1	NUM
cana-1246	80	12	protocol	protocol	NOUN
cana-1246	80	13	:	:	PUNCT
cana-1246	80	14	five	five	NUM
cana-1246	80	15	parties	party	NOUN
cana-1246	80	16	𝐴1	𝐴1	PROPN
cana-1246	80	17	,	,	PUNCT
cana-1246	80	18	𝐴2	𝐴2	PROPN
cana-1246	80	19	,	,	PUNCT
cana-1246	80	20	𝐴3	𝐴3	PROPN
cana-1246	80	21	,	,	PUNCT
cana-1246	80	22	𝐴4	𝐴4	PROPN
cana-1246	80	23	,	,	PUNCT
cana-1246	80	24	𝐴5	𝐴5	PROPN
cana-1246	80	25	agree	agree	VERB
cana-1246	80	26	on	on	ADP
cana-1246	80	27	a	a	DET
cana-1246	80	28	finite	finite	ADJ
cana-1246	80	29	non	non	ADJ
cana-1246	80	30	-	-	ADJ
cana-1246	80	31	abelian	abelian	ADJ
cana-1246	80	32	group	group	NOUN
cana-1246	80	33	,	,	PUNCT
cana-1246	81	1	discrete	discrete	ADJ
cana-1246	81	2	heisenberg	heisenberg	PROPN
cana-1246	81	3	group	group	PROPN
cana-1246	81	4	ℋ	ℋ	PROPN
cana-1246	81	5	=	=	SYM
cana-1246	81	6	𝑍𝑝	𝑍𝑝	PROPN
cana-1246	81	7	5	5	NUM
cana-1246	81	8	one	one	NUM
cana-1246	81	9	of	of	ADP
cana-1246	81	10	the	the	DET
cana-1246	81	11	five	five	NUM
cana-1246	81	12	party	party	NOUN
cana-1246	81	13	publishes	publish	VERB
cana-1246	81	14	an	an	DET
cana-1246	81	15	element𝑥	element𝑥	ADJ
cana-1246	81	16	∈	∈	PROPN
cana-1246	81	17	ℋ.	ℋ.	PROPN
cana-1246	81	18	𝐴1	𝐴1	PROPN
cana-1246	81	19	chooses	choose	VERB
cana-1246	81	20	an	an	DET
cana-1246	81	21	element	element	NOUN
cana-1246	81	22	𝑔1	𝑔1	PROPN
cana-1246	81	23	∈	∈	PROPN
cana-1246	81	24	ℋ	ℋ	PROPN
cana-1246	81	25	,	,	PUNCT
cana-1246	81	26	such	such	ADJ
cana-1246	81	27	that	that	SCONJ
cana-1246	81	28	𝑥𝑔1	𝑥𝑔1	NOUN
cana-1246	81	29	≠	≠	PROPN
cana-1246	81	30	𝑔1𝑥	𝑔1𝑥	PROPN
cana-1246	81	31	𝐴2	𝐴2	PROPN
cana-1246	81	32	chooses	choose	VERB
cana-1246	81	33	an	an	DET
cana-1246	81	34	element	element	NOUN
cana-1246	81	35	𝑔2	𝑔2	NOUN
cana-1246	81	36	∈	∈	PROPN
cana-1246	81	37	ℋ	ℋ	PROPN
cana-1246	81	38	,	,	PUNCT
cana-1246	81	39	such	such	ADJ
cana-1246	81	40	that	that	SCONJ
cana-1246	81	41	𝑥𝑔2	𝑥𝑔2	NOUN
cana-1246	81	42	≠	≠	PROPN
cana-1246	81	43	𝑔2𝑥	𝑔2𝑥	PROPN
cana-1246	81	44	𝐴3	𝐴3	PROPN
cana-1246	81	45	chooses	choose	VERB
cana-1246	81	46	an	an	DET
cana-1246	81	47	element	element	NOUN
cana-1246	81	48	𝑔3	𝑔3	VERB
cana-1246	81	49	∈	∈	PROPN
cana-1246	81	50	ℋ	ℋ	PROPN
cana-1246	81	51	,	,	PUNCT
cana-1246	81	52	such	such	ADJ
cana-1246	81	53	that	that	DET
cana-1246	81	54	𝑥𝑔3	𝑥𝑔3	NOUN
cana-1246	81	55	≠	≠	PROPN
cana-1246	81	56	𝑔3𝑥	𝑔3𝑥	PUNCT
cana-1246	81	57	𝐴4	𝐴4	PROPN
cana-1246	81	58	chooses	choose	VERB
cana-1246	81	59	an	an	DET
cana-1246	81	60	element	element	NOUN
cana-1246	81	61	𝑔4	𝑔4	NOUN
cana-1246	81	62	∈	∈	PROPN
cana-1246	81	63	ℋ	ℋ	PROPN
cana-1246	81	64	,	,	PUNCT
cana-1246	81	65	such	such	ADJ
cana-1246	81	66	that	that	SCONJ
cana-1246	81	67	𝑥𝑔4	𝑥𝑔4	VERB
cana-1246	81	68	≠	≠	PROPN
cana-1246	81	69	𝑔4𝑥	𝑔4𝑥	AUX
cana-1246	81	70	𝐴5	𝐴5	NOUN
cana-1246	81	71	chooses	choose	VERB
cana-1246	81	72	an	an	DET
cana-1246	81	73	element	element	NOUN
cana-1246	81	74	𝑔5	𝑔5	PROPN
cana-1246	81	75	∈	∈	PROPN
cana-1246	81	76	ℋ	ℋ	PROPN
cana-1246	81	77	,	,	PUNCT
cana-1246	81	78	such	such	ADJ
cana-1246	81	79	that	that	SCONJ
cana-1246	81	80	𝑥𝑔5	𝑥𝑔5	NOUN
cana-1246	81	81	≠	≠	PROPN
cana-1246	81	82	𝑔5𝑥	𝑔5𝑥	PUNCT
cana-1246	81	83	also	also	ADV
cana-1246	81	84	,	,	PUNCT
cana-1246	81	85	𝑔1	𝑔1	PROPN
cana-1246	81	86	,	,	PUNCT
cana-1246	81	87	𝑔2	𝑔2	NOUN
cana-1246	81	88	,	,	PUNCT
cana-1246	81	89	𝑔3	𝑔3	ADJ
cana-1246	81	90	,	,	PUNCT
cana-1246	81	91	𝑔4	𝑔4	PROPN
cana-1246	81	92	,	,	PUNCT
cana-1246	81	93	𝑔5	𝑔5	PROPN
cana-1246	81	94	are	be	AUX
cana-1246	81	95	commute	commute	NOUN
cana-1246	81	96	each	each	DET
cana-1246	81	97	other	other	ADJ
cana-1246	81	98	.	.	PUNCT
cana-1246	82	1	round	round	ADV
cana-1246	82	2	1	1	NUM
cana-1246	82	3	:	:	PUNCT
cana-1246	82	4	𝐴1	𝐴1	PROPN
cana-1246	82	5	chooses	choose	VERB
cana-1246	82	6	an	an	DET
cana-1246	82	7	element	element	NOUN
cana-1246	82	8	𝑔1	𝑔1	PROPN
cana-1246	82	9	∈	∈	PROPN
cana-1246	82	10	ℋ	ℋ	PROPN
cana-1246	82	11	,	,	PUNCT
cana-1246	82	12	computes	compute	VERB
cana-1246	82	13	𝐾11	𝐾11	PROPN
cana-1246	82	14	=	=	SYM
cana-1246	82	15	𝑔1	𝑔1	PROPN
cana-1246	82	16	−1𝑥𝑔1	−1𝑥𝑔1	NOUN
cana-1246	82	17	and	and	CCONJ
cana-1246	82	18	sends	send	VERB
cana-1246	82	19	it	it	PRON
cana-1246	82	20	to	to	ADP
cana-1246	82	21	𝐴2	𝐴2	PROPN
cana-1246	82	22	𝐴2	𝐴2	PROPN
cana-1246	82	23	chooses	choose	VERB
cana-1246	82	24	an	an	DET
cana-1246	82	25	element	element	NOUN
cana-1246	82	26	𝑔2	𝑔2	NOUN
cana-1246	82	27	∈	∈	PROPN
cana-1246	82	28	ℋ	ℋ	PROPN
cana-1246	82	29	,	,	PUNCT
cana-1246	82	30	computes	compute	VERB
cana-1246	82	31	𝐾12	𝐾12	PUNCT
cana-1246	82	32	=	=	SYM
cana-1246	82	33	𝑔2	𝑔2	NOUN
cana-1246	82	34	−1𝑥𝑔2	−1𝑥𝑔2	NOUN
cana-1246	82	35	and	and	CCONJ
cana-1246	82	36	sends	send	VERB
cana-1246	82	37	it	it	PRON
cana-1246	82	38	to	to	ADP
cana-1246	82	39	𝐴3	𝐴3	PROPN
cana-1246	82	40	𝐴3	𝐴3	PROPN
cana-1246	82	41	chooses	choose	VERB
cana-1246	82	42	an	an	DET
cana-1246	82	43	element	element	NOUN
cana-1246	82	44	𝑔3	𝑔3	VERB
cana-1246	82	45	∈	∈	PROPN
cana-1246	82	46	ℋ	ℋ	PROPN
cana-1246	82	47	,	,	PUNCT
cana-1246	82	48	computes	compute	VERB
cana-1246	82	49	𝐾13	𝐾13	PROPN
cana-1246	82	50	=	=	SYM
cana-1246	82	51	𝑔3	𝑔3	VERB
cana-1246	82	52	−1𝑥𝑔3	−1𝑥𝑔3	NOUN
cana-1246	82	53	and	and	CCONJ
cana-1246	82	54	sends	send	VERB
cana-1246	82	55	it	it	PRON
cana-1246	82	56	to	to	ADP
cana-1246	82	57	𝐴4	𝐴4	PROPN
cana-1246	82	58	𝐴4	𝐴4	PROPN
cana-1246	82	59	chooses	choose	VERB
cana-1246	82	60	an	an	DET
cana-1246	82	61	element	element	NOUN
cana-1246	82	62	𝑔4	𝑔4	NOUN
cana-1246	82	63	∈	∈	PROPN
cana-1246	82	64	ℋ	ℋ	PROPN
cana-1246	82	65	,	,	PUNCT
cana-1246	82	66	computes	compute	VERB
cana-1246	82	67	𝐾14	𝐾14	NOUN
cana-1246	82	68	=	=	SYM
cana-1246	82	69	𝑔4	𝑔4	NOUN
cana-1246	82	70	−1𝑥𝑔4	−1𝑥𝑔4	VERB
cana-1246	82	71	and	and	CCONJ
cana-1246	82	72	sends	send	VERB
cana-1246	82	73	it	it	PRON
cana-1246	82	74	to	to	ADP
cana-1246	82	75	𝐴5	𝐴5	PROPN
cana-1246	82	76	𝐴5	𝐴5	PROPN
cana-1246	82	77	chooses	choose	VERB
cana-1246	82	78	an	an	DET
cana-1246	82	79	element	element	NOUN
cana-1246	82	80	𝑔5	𝑔5	PROPN
cana-1246	82	81	∈	∈	PROPN
cana-1246	82	82	ℋ	ℋ	PROPN
cana-1246	82	83	,	,	PUNCT
cana-1246	82	84	computes	compute	VERB
cana-1246	82	85	𝐾15	𝐾15	PROPN
cana-1246	82	86	=	=	SYM
cana-1246	82	87	𝑔5	𝑔5	PROPN
cana-1246	82	88	−1𝑥𝑔5	−1𝑥𝑔5	NOUN
cana-1246	82	89	and	and	CCONJ
cana-1246	82	90	sends	send	VERB
cana-1246	82	91	it	it	PRON
cana-1246	82	92	to	to	PART
cana-1246	82	93	𝐴1	𝐴1	VERB
cana-1246	82	94	round	round	ADV
cana-1246	82	95	2	2	NUM
cana-1246	82	96	:	:	PUNCT
cana-1246	82	97	𝐴1	𝐴1	PROPN
cana-1246	82	98	computes	compute	VERB
cana-1246	82	99	𝐾21	𝐾21	PROPN
cana-1246	82	100	=	=	SYM
cana-1246	82	101	𝑔1	𝑔1	PROPN
cana-1246	82	102	−1𝐾15𝑔1	−1𝐾15𝑔1	NUM
cana-1246	82	103	and	and	CCONJ
cana-1246	82	104	sends	send	VERB
cana-1246	82	105	it	it	PRON
cana-1246	82	106	to	to	ADP
cana-1246	82	107	𝐴2	𝐴2	PROPN
cana-1246	82	108	𝐴2	𝐴2	NOUN
cana-1246	82	109	computes	compute	VERB
cana-1246	82	110	𝐾22	𝐾22	NOUN
cana-1246	82	111	=	=	PUNCT
cana-1246	82	112	𝑔2	𝑔2	VERB
cana-1246	82	113	−1𝐾11𝑔2	−1𝐾11𝑔2	ADV
cana-1246	82	114	and	and	CCONJ
cana-1246	82	115	sends	send	VERB
cana-1246	82	116	it	it	PRON
cana-1246	82	117	to	to	ADP
cana-1246	82	118	𝐴3	𝐴3	PROPN
cana-1246	82	119	communications	communication	NOUN
cana-1246	82	120	on	on	ADP
cana-1246	82	121	applied	apply	VERB
cana-1246	82	122	nonlinear	nonlinear	ADJ
cana-1246	82	123	analysis	analysis	NOUN
cana-1246	82	124	issn	issn	NOUN
cana-1246	82	125	:	:	PUNCT
cana-1246	82	126	1074	1074	NUM
cana-1246	82	127	-	-	PUNCT
cana-1246	82	128	133x	133x	NUM
cana-1246	82	129	vol	vol	NOUN
cana-1246	82	130	31	31	NUM
cana-1246	82	131	no	no	NOUN
cana-1246	82	132	.	.	PUNCT
cana-1246	83	1	6s	6s	NUM
cana-1246	83	2	(	(	PUNCT
cana-1246	83	3	2024	2024	NUM
cana-1246	83	4	)	)	PUNCT
cana-1246	83	5	596	596	NUM
cana-1246	83	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1246	83	7	𝐴3	𝐴3	PROPN
cana-1246	83	8	computes	compute	VERB
cana-1246	83	9	𝐾23	𝐾23	NOUN
cana-1246	83	10	=	=	PUNCT
cana-1246	83	11	𝑔3	𝑔3	VERB
cana-1246	83	12	−1𝐾12𝑔3	−1𝐾12𝑔3	PROPN
cana-1246	83	13	and	and	CCONJ
cana-1246	83	14	sends	send	VERB
cana-1246	83	15	it	it	PRON
cana-1246	83	16	to	to	ADP
cana-1246	83	17	𝐴4	𝐴4	PROPN
cana-1246	83	18	𝐴4	𝐴4	PROPN
cana-1246	83	19	computes	compute	VERB
cana-1246	83	20	𝐾24	𝐾24	PROPN
cana-1246	83	21	=	=	PUNCT
cana-1246	83	22	𝑔4	𝑔4	NOUN
cana-1246	83	23	−1𝐾13𝑔4	−1𝐾13𝑔4	NUM
cana-1246	83	24	and	and	CCONJ
cana-1246	83	25	sends	send	VERB
cana-1246	83	26	it	it	PRON
cana-1246	83	27	to	to	ADP
cana-1246	83	28	𝐴5	𝐴5	PROPN
cana-1246	83	29	𝐴5	𝐴5	NOUN
cana-1246	83	30	computes	compute	VERB
cana-1246	83	31	𝐾25	𝐾25	PROPN
cana-1246	83	32	=	=	SYM
cana-1246	83	33	𝑔5	𝑔5	PROPN
cana-1246	83	34	−1𝐾14𝑔5	−1𝐾14𝑔5	PROPN
cana-1246	83	35	and	and	CCONJ
cana-1246	83	36	sends	send	VERB
cana-1246	83	37	it	it	PRON
cana-1246	83	38	to	to	PART
cana-1246	83	39	𝐴1	𝐴1	VERB
cana-1246	83	40	round	round	ADV
cana-1246	83	41	3	3	NUM
cana-1246	83	42	:	:	PUNCT
cana-1246	83	43	𝐴1	𝐴1	PROPN
cana-1246	83	44	computes	compute	VERB
cana-1246	83	45	𝐾31	𝐾31	PROPN
cana-1246	83	46	=	=	SYM
cana-1246	83	47	𝑔1	𝑔1	PROPN
cana-1246	83	48	−1𝐾25𝑔1	−1𝐾25𝑔1	PROPN
cana-1246	83	49	and	and	CCONJ
cana-1246	83	50	sends	send	VERB
cana-1246	83	51	it	it	PRON
cana-1246	83	52	to	to	ADP
cana-1246	83	53	𝐴2	𝐴2	PROPN
cana-1246	83	54	𝐴2	𝐴2	NOUN
cana-1246	83	55	computes	compute	VERB
cana-1246	83	56	𝐾32	𝐾32	PROPN
cana-1246	83	57	=	=	PUNCT
cana-1246	83	58	𝑔2	𝑔2	VERB
cana-1246	83	59	−1𝐾11𝑔2	−1𝐾11𝑔2	ADV
cana-1246	83	60	and	and	CCONJ
cana-1246	83	61	sends	send	VERB
cana-1246	83	62	it	it	PRON
cana-1246	83	63	to	to	ADP
cana-1246	83	64	𝐴3	𝐴3	PROPN
cana-1246	83	65	𝐴3	𝐴3	PROPN
cana-1246	83	66	computes	compute	VERB
cana-1246	83	67	𝐾33	𝐾33	PROPN
cana-1246	83	68	=	=	SYM
cana-1246	83	69	𝑔3	𝑔3	VERB
cana-1246	83	70	−1𝐾22𝑔3	−1𝐾22𝑔3	PRON
cana-1246	83	71	and	and	CCONJ
cana-1246	83	72	sends	send	VERB
cana-1246	83	73	it	it	PRON
cana-1246	83	74	to	to	ADP
cana-1246	83	75	𝐴4	𝐴4	PROPN
cana-1246	83	76	𝐴4	𝐴4	PROPN
cana-1246	83	77	computes	compute	VERB
cana-1246	83	78	𝐾34	𝐾34	PUNCT
cana-1246	83	79	=	=	PUNCT
cana-1246	83	80	𝑔4	𝑔4	NOUN
cana-1246	83	81	−1𝐾23𝑔4	−1𝐾23𝑔4	NUM
cana-1246	83	82	and	and	CCONJ
cana-1246	83	83	sends	send	VERB
cana-1246	83	84	it	it	PRON
cana-1246	83	85	to	to	ADP
cana-1246	83	86	𝐴5	𝐴5	PROPN
cana-1246	83	87	𝐴5	𝐴5	PROPN
cana-1246	83	88	computes	compute	VERB
cana-1246	83	89	𝐾35	𝐾35	PROPN
cana-1246	83	90	=	=	SYM
cana-1246	83	91	𝑔5	𝑔5	PROPN
cana-1246	83	92	−1𝐾24𝑔5	−1𝐾24𝑔5	NUM
cana-1246	83	93	and	and	CCONJ
cana-1246	83	94	sends	send	VERB
cana-1246	83	95	it	it	PRON
cana-1246	83	96	to	to	ADP
cana-1246	83	97	𝐴1	𝐴1	PROPN
cana-1246	83	98	.round	.round	PRON
cana-1246	83	99	4	4	NUM
cana-1246	83	100	:	:	PUNCT
cana-1246	83	101	𝐴1	𝐴1	PROPN
cana-1246	83	102	computes	compute	VERB
cana-1246	83	103	𝐾41	𝐾41	PROPN
cana-1246	83	104	=	=	SYM
cana-1246	83	105	𝑔1	𝑔1	PROPN
cana-1246	83	106	−1𝐾35𝑔1	−1𝐾35𝑔1	PROPN
cana-1246	83	107	and	and	CCONJ
cana-1246	83	108	sends	send	VERB
cana-1246	83	109	it	it	PRON
cana-1246	83	110	to	to	ADP
cana-1246	83	111	𝐴2	𝐴2	PROPN
cana-1246	83	112	𝐴2	𝐴2	NOUN
cana-1246	83	113	computes	compute	VERB
cana-1246	83	114	𝐾42	𝐾42	PROPN
cana-1246	83	115	=	=	PRON
cana-1246	83	116	𝑔2	𝑔2	VERB
cana-1246	83	117	−1𝐾31𝑔2	−1𝐾31𝑔2	ADV
cana-1246	83	118	and	and	CCONJ
cana-1246	83	119	sends	send	VERB
cana-1246	83	120	it	it	PRON
cana-1246	83	121	to	to	ADP
cana-1246	83	122	𝐴3	𝐴3	PROPN
cana-1246	83	123	𝐴3	𝐴3	PROPN
cana-1246	83	124	computes	compute	VERB
cana-1246	83	125	𝐾43	𝐾43	PUNCT
cana-1246	83	126	=	=	PRON
cana-1246	83	127	𝑔3	𝑔3	VERB
cana-1246	83	128	−1𝐾32𝑔3	−1𝐾32𝑔3	PRON
cana-1246	83	129	and	and	CCONJ
cana-1246	83	130	sends	send	VERB
cana-1246	83	131	it	it	PRON
cana-1246	83	132	to	to	ADP
cana-1246	83	133	𝐴4	𝐴4	PROPN
cana-1246	83	134	𝐴4	𝐴4	PROPN
cana-1246	83	135	computes	compute	VERB
cana-1246	83	136	𝐾44	𝐾44	NOUN
cana-1246	83	137	=	=	PUNCT
cana-1246	83	138	𝑔4	𝑔4	NOUN
cana-1246	83	139	−1𝐾33𝑔4	−1𝐾33𝑔4	PRON
cana-1246	83	140	and	and	CCONJ
cana-1246	83	141	sends	send	VERB
cana-1246	83	142	it	it	PRON
cana-1246	83	143	to	to	ADP
cana-1246	83	144	𝐴5	𝐴5	PROPN
cana-1246	83	145	𝐴5	𝐴5	PROPN
cana-1246	83	146	computes	compute	VERB
cana-1246	83	147	𝐾45	𝐾45	PROPN
cana-1246	83	148	=	=	SYM
cana-1246	83	149	𝑔5	𝑔5	PROPN
cana-1246	83	150	−1𝐾34𝑔5	−1𝐾34𝑔5	PROPN
cana-1246	83	151	and	and	CCONJ
cana-1246	83	152	sends	send	VERB
cana-1246	83	153	it	it	PRON
cana-1246	83	154	to	to	AUX
cana-1246	83	155	𝐴1	𝐴1	PROPN
cana-1246	83	156	computation	computation	NOUN
cana-1246	83	157	of	of	ADP
cana-1246	83	158	key	key	NOUN
cana-1246	83	159	:	:	PUNCT
cana-1246	83	160	on	on	ADP
cana-1246	83	161	knowing	know	VERB
cana-1246	83	162	𝑔1	𝑔1	PROPN
cana-1246	83	163	,	,	PUNCT
cana-1246	83	164	𝐴1	𝐴1	PROPN
cana-1246	83	165	computes	compute	VERB
cana-1246	83	166	𝐾𝐴1	𝐾𝐴1	PROPN
cana-1246	83	167	=	=	PROPN
cana-1246	83	168	𝑔1	𝑔1	PROPN
cana-1246	83	169	−1𝐾45	−1𝐾45	PROPN
cana-1246	83	170	𝑔1	𝑔1	PROPN
cana-1246	83	171	.	.	PUNCT
cana-1246	84	1	on	on	ADP
cana-1246	84	2	knowing	know	VERB
cana-1246	84	3	𝑔2	𝑔2	NOUN
cana-1246	84	4	,	,	PUNCT
cana-1246	84	5	𝐴2	𝐴2	PROPN
cana-1246	84	6	computes	compute	VERB
cana-1246	84	7	𝐾𝐴2	𝐾𝐴2	PROPN
cana-1246	84	8	=	=	PRON
cana-1246	84	9	𝑔2	𝑔2	VERB
cana-1246	84	10	−1𝐾41	−1𝐾41	NOUN
cana-1246	84	11	𝑔2	𝑔2	NOUN
cana-1246	84	12	.	.	PUNCT
cana-1246	85	1	on	on	ADP
cana-1246	85	2	knowing	know	VERB
cana-1246	85	3	𝑔3	𝑔3	PROPN
cana-1246	85	4	,	,	PUNCT
cana-1246	85	5	𝐴3	𝐴3	PROPN
cana-1246	85	6	computes	compute	VERB
cana-1246	85	7	𝐾𝐴3	𝐾𝐴3	PROPN
cana-1246	85	8	=	=	PROPN
cana-1246	85	9	𝑔3	𝑔3	VERB
cana-1246	85	10	−1𝐾42	−1𝐾42	NOUN
cana-1246	85	11	𝑔3	𝑔3	ADJ
cana-1246	85	12	on	on	ADP
cana-1246	85	13	knowing	know	VERB
cana-1246	85	14	𝑔4	𝑔4	NOUN
cana-1246	85	15	,	,	PUNCT
cana-1246	85	16	𝐴4	𝐴4	PROPN
cana-1246	85	17	computes	compute	VERB
cana-1246	85	18	𝐾𝐴4	𝐾𝐴4	PROPN
cana-1246	85	19	=	=	PUNCT
cana-1246	85	20	𝑔4	𝑔4	NOUN
cana-1246	85	21	−1𝐾43	−1𝐾43	VERB
cana-1246	85	22	𝑔4	𝑔4	NOUN
cana-1246	85	23	.	.	PUNCT
cana-1246	86	1	on	on	ADP
cana-1246	86	2	knowing	know	VERB
cana-1246	86	3	𝑔5	𝑔5	PROPN
cana-1246	86	4	,	,	PUNCT
cana-1246	86	5	𝐴5	𝐴5	PROPN
cana-1246	86	6	computes	compute	VERB
cana-1246	86	7	𝐾𝐴5	𝐾𝐴5	PROPN
cana-1246	86	8	=	=	SYM
cana-1246	86	9	𝑔5	𝑔5	PROPN
cana-1246	86	10	−1𝐾44	−1𝐾44	VERB
cana-1246	86	11	𝑔3	𝑔3	VERB
cana-1246	86	12	𝐾𝐴1	𝐾𝐴1	PROPN
cana-1246	86	13	=	=	SYM
cana-1246	86	14	𝐾𝐴2	𝐾𝐴2	PROPN
cana-1246	86	15	=	=	PUNCT
cana-1246	87	1	𝐾𝐴3	𝐾𝐴3	PROPN
cana-1246	87	2	=	=	SYM
cana-1246	87	3	𝐾𝐴4	𝐾𝐴4	PROPN
cana-1246	87	4	=	=	SYM
cana-1246	87	5	𝐾𝐴5	𝐾𝐴5	PROPN
cana-1246	87	6	is	be	AUX
cana-1246	87	7	their	their	PRON
cana-1246	87	8	common	common	ADJ
cana-1246	87	9	shared	shared	ADJ
cana-1246	87	10	key	key	NOUN
cana-1246	87	11	.	.	PUNCT
cana-1246	88	1	3.2	3.2	NUM
cana-1246	88	2	algorithm	algorithm	NOUN
cana-1246	88	3	:	:	PUNCT
cana-1246	88	4	sage	sage	NOUN
cana-1246	88	5	code	code	NOUN
cana-1246	88	6	for	for	ADP
cana-1246	88	7	computing	compute	VERB
cana-1246	88	8	binary	binary	ADJ
cana-1246	88	9	operation	operation	NOUN
cana-1246	88	10	x*y	x*y	PROPN
cana-1246	88	11	in	in	ADP
cana-1246	88	12	equation	equation	NOUN
cana-1246	88	13	(	(	PUNCT
cana-1246	88	14	1	1	X
cana-1246	88	15	)	)	PUNCT
cana-1246	88	16	is	be	AUX
cana-1246	88	17	given	give	VERB
cana-1246	88	18	below	below	ADV
cana-1246	88	19	enter	enter	VERB
cana-1246	88	20	the	the	DET
cana-1246	88	21	values	value	NOUN
cana-1246	88	22	:	:	PUNCT
cana-1246	88	23	def	def	PROPN
cana-1246	88	24	multiply(x	multiply(x	PROPN
cana-1246	88	25	,	,	PUNCT
cana-1246	88	26	y	y	PROPN
cana-1246	88	27	):	):	PUNCT
cana-1246	88	28	x1,x2,x3,x4,x5	x1,x2,x3,x4,x5	NOUN
cana-1246	88	29	=	=	PUNCT
cana-1246	89	1	x	x	PUNCT
cana-1246	89	2	y1,y2,y3,y4,y5	y1,y2,y3,y4,y5	PROPN
cana-1246	89	3	=	=	SYM
cana-1246	89	4	y	y	PROPN
cana-1246	89	5	sum=(mod((x1+y1),7),mod((x2+y2),7),mod((x3+y3),7),mod((x4+y4),7	sum=(mod((x1+y1),7),mod((x2+y2),7),mod((x3+y3),7),mod((x4+y4),7	ADJ
cana-1246	89	6	)	)	PUNCT
cana-1246	89	7	,	,	PUNCT
cana-1246	89	8	mod((x5+y5+(x1*y3)+(x2*y4)),7	mod((x5+y5+(x1*y3)+(x2*y4)),7	PROPN
cana-1246	89	9	)	)	PUNCT
cana-1246	89	10	)	)	PUNCT
cana-1246	89	11	return	return	VERB
cana-1246	89	12	print(sum	print(sum	NOUN
cana-1246	89	13	)	)	PUNCT
cana-1246	89	14	multiply((2,2,5,1,3),(1,2,4,4,3	multiply((2,2,5,1,3),(1,2,4,4,3	PROPN
cana-1246	89	15	)	)	PUNCT
cana-1246	89	16	)	)	PUNCT
cana-1246	89	17	multiply((1,2,4,4,3),(2,2,5,1,3	multiply((1,2,4,4,3),(2,2,5,1,3	PROPN
cana-1246	89	18	)	)	PUNCT
cana-1246	89	19	)	)	PUNCT
cana-1246	89	20	.	.	PUNCT
cana-1246	90	1	the	the	DET
cana-1246	90	2	program	program	NOUN
cana-1246	90	3	is	be	AUX
cana-1246	90	4	given	give	VERB
cana-1246	90	5	as	as	SCONJ
cana-1246	90	6	follows	follow	VERB
cana-1246	90	7	sage	sage	NOUN
cana-1246	90	8	code	code	NOUN
cana-1246	90	9	for	for	ADP
cana-1246	90	10	computing	compute	VERB
cana-1246	90	11	kij	kij	PROPN
cana-1246	90	12	values	value	NOUN
cana-1246	90	13	as	as	SCONJ
cana-1246	90	14	given	give	VERB
cana-1246	90	15	below	below	ADV
cana-1246	90	16	enter	enter	VERB
cana-1246	90	17	the	the	DET
cana-1246	90	18	values	value	NOUN
cana-1246	90	19	:	:	PUNCT
cana-1246	90	20	def	def	PROPN
cana-1246	90	21	kvalue(x	kvalue(x	PROPN
cana-1246	90	22	,	,	PUNCT
cana-1246	90	23	g	g	NOUN
cana-1246	90	24	):	):	PUNCT
cana-1246	90	25	x1	x1	PROPN
cana-1246	90	26	,	,	PUNCT
cana-1246	90	27	x2	x2	PROPN
cana-1246	90	28	,	,	PUNCT
cana-1246	90	29	x3	x3	PROPN
cana-1246	90	30	,	,	PUNCT
cana-1246	90	31	x4	x4	PROPN
cana-1246	90	32	,	,	PUNCT
cana-1246	90	33	x5	x5	PROPN
cana-1246	90	34	=	=	SYM
cana-1246	90	35	x	x	SYM
cana-1246	90	36	g1	g1	PROPN
cana-1246	90	37	,	,	PUNCT
cana-1246	90	38	g2	g2	PROPN
cana-1246	90	39	,	,	PUNCT
cana-1246	90	40	g3	g3	NOUN
cana-1246	90	41	,	,	PUNCT
cana-1246	90	42	g4	g4	NOUN
cana-1246	90	43	,	,	PUNCT
cana-1246	90	44	g5	g5	NOUN
cana-1246	90	45	=	=	PUNCT
cana-1246	90	46	g	g	PROPN
cana-1246	90	47	kval=(mod(x1,7	kval=(mod(x1,7	PROPN
cana-1246	90	48	)	)	PUNCT
cana-1246	90	49	,	,	PUNCT
cana-1246	90	50	mod(x2,7	mod(x2,7	NOUN
cana-1246	90	51	)	)	PUNCT
cana-1246	90	52	,	,	PUNCT
cana-1246	90	53	mod(x3,7	mod(x3,7	NOUN
cana-1246	90	54	)	)	PUNCT
cana-1246	90	55	,	,	PUNCT
cana-1246	90	56	mod(x4,7	mod(x4,7	NOUN
cana-1246	90	57	)	)	PUNCT
cana-1246	90	58	,	,	PUNCT
cana-1246	90	59	mod((x5-(g1*x3)(g2*x4)+(x1*g3)+(x2*g4)),7	mod((x5-(g1*x3)(g2*x4)+(x1*g3)+(x2*g4)),7	PROPN
cana-1246	90	60	)	)	PUNCT
cana-1246	90	61	)	)	PUNCT
cana-1246	90	62	return	return	NOUN
cana-1246	90	63	print(kval	print(kval	PROPN
cana-1246	90	64	)	)	PUNCT
cana-1246	91	1	the	the	DET
cana-1246	91	2	program	program	NOUN
cana-1246	91	3	is	be	AUX
cana-1246	91	4	given	give	VERB
cana-1246	91	5	as	as	SCONJ
cana-1246	91	6	follows	follow	VERB
cana-1246	91	7	communications	communication	NOUN
cana-1246	91	8	on	on	ADP
cana-1246	91	9	applied	apply	VERB
cana-1246	91	10	nonlinear	nonlinear	ADJ
cana-1246	91	11	analysis	analysis	NOUN
cana-1246	91	12	issn	issn	NOUN
cana-1246	91	13	:	:	PUNCT
cana-1246	91	14	1074	1074	NUM
cana-1246	91	15	-	-	PUNCT
cana-1246	91	16	133x	133x	NUM
cana-1246	91	17	vol	vol	NOUN
cana-1246	91	18	31	31	NUM
cana-1246	91	19	no	no	NOUN
cana-1246	91	20	.	.	PUNCT
cana-1246	92	1	6s	6s	NUM
cana-1246	92	2	(	(	PUNCT
cana-1246	92	3	2024	2024	NUM
cana-1246	92	4	)	)	PUNCT
cana-1246	92	5	597	597	NUM
cana-1246	92	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1246	92	7	3.3	3.3	NUM
cana-1246	92	8	flow	flow	NOUN
cana-1246	92	9	chart	chart	NOUN
cana-1246	92	10	:	:	PUNCT
cana-1246	92	11	4	4	X
cana-1246	92	12	.	.	X
cana-1246	92	13	numerical	numerical	ADJ
cana-1246	92	14	example	example	NOUN
cana-1246	92	15	:	:	PUNCT
cana-1246	92	16	consider	consider	VERB
cana-1246	92	17	the	the	DET
cana-1246	92	18	five	five	NUM
cana-1246	92	19	parties	party	NOUN
cana-1246	92	20	𝐴1	𝐴1	PROPN
cana-1246	92	21	,	,	PUNCT
cana-1246	92	22	𝐴2	𝐴2	PROPN
cana-1246	92	23	,	,	PUNCT
cana-1246	92	24	𝐴3	𝐴3	PROPN
cana-1246	92	25	,	,	PUNCT
cana-1246	92	26	𝐴4	𝐴4	PROPN
cana-1246	92	27	,	,	PUNCT
cana-1246	92	28	𝐴5agree	𝐴5agree	ADJ
cana-1246	92	29	on	on	ADP
cana-1246	92	30	a	a	DET
cana-1246	92	31	finite	finite	ADJ
cana-1246	92	32	non	non	ADJ
cana-1246	92	33	-	-	ADJ
cana-1246	92	34	abelian	abelian	ADJ
cana-1246	92	35	group	group	NOUN
cana-1246	92	36	,	,	PUNCT
cana-1246	92	37	discrete	discrete	ADJ
cana-1246	92	38	heisenberg	heisenberg	PROPN
cana-1246	92	39	group	group	PROPN
cana-1246	92	40	ℋ	ℋ	PROPN
cana-1246	92	41	=	=	PUNCT
cana-1246	92	42	𝑍7	𝑍7	PROPN
cana-1246	92	43	5	5	NUM
cana-1246	92	44	and	and	CCONJ
cana-1246	92	45	one	one	NUM
cana-1246	92	46	of	of	ADP
cana-1246	92	47	the	the	DET
cana-1246	92	48	public	public	ADJ
cana-1246	92	49	key	key	NOUN
cana-1246	92	50	is	be	AUX
cana-1246	92	51	𝑥	𝑥	NOUN
cana-1246	92	52	=	=	PUNCT
cana-1246	92	53	(	(	PUNCT
cana-1246	92	54	2	2	NUM
cana-1246	92	55	,	,	PUNCT
cana-1246	92	56	2	2	NUM
cana-1246	92	57	,	,	PUNCT
cana-1246	92	58	5	5	NUM
cana-1246	92	59	,	,	PUNCT
cana-1246	92	60	1	1	NUM
cana-1246	92	61	,	,	PUNCT
cana-1246	92	62	3	3	X
cana-1246	92	63	)	)	PUNCT
cana-1246	92	64	∈	∈	PROPN
cana-1246	92	65	ℋ	ℋ	PROPN
cana-1246	92	66	=	=	PUNCT
cana-1246	92	67	𝑍7	𝑍7	PROPN
cana-1246	92	68	5	5	NUM
cana-1246	92	69	𝐴1	𝐴1	PROPN
cana-1246	92	70	chooses	choose	VERB
cana-1246	92	71	an	an	DET
cana-1246	92	72	element	element	NOUN
cana-1246	92	73	𝑔1	𝑔1	PROPN
cana-1246	92	74	=	=	PUNCT
cana-1246	92	75	(	(	PUNCT
cana-1246	92	76	1	1	NUM
cana-1246	92	77	,	,	PUNCT
cana-1246	92	78	2	2	NUM
cana-1246	92	79	,	,	PUNCT
cana-1246	92	80	4	4	NUM
cana-1246	92	81	,	,	PUNCT
cana-1246	92	82	4	4	NUM
cana-1246	92	83	,	,	PUNCT
cana-1246	92	84	3	3	X
cana-1246	92	85	)	)	PUNCT
cana-1246	92	86	∈	∈	PROPN
cana-1246	92	87	𝑍7	𝑍7	NOUN
cana-1246	92	88	5	5	NUM
cana-1246	92	89	,	,	PUNCT
cana-1246	92	90	such	such	ADJ
cana-1246	92	91	that	that	SCONJ
cana-1246	92	92	𝑥𝑔1	𝑥𝑔1	NOUN
cana-1246	92	93	≠	≠	PROPN
cana-1246	92	94	𝑔1𝑥	𝑔1𝑥	PROPN
cana-1246	92	95	𝐴2	𝐴2	PROPN
cana-1246	92	96	chooses	choose	VERB
cana-1246	92	97	an	an	DET
cana-1246	92	98	element	element	NOUN
cana-1246	92	99	𝑔2	𝑔2	NOUN
cana-1246	92	100	=	=	PUNCT
cana-1246	92	101	(	(	PUNCT
cana-1246	92	102	3	3	NUM
cana-1246	92	103	,	,	PUNCT
cana-1246	92	104	1	1	NUM
cana-1246	92	105	,	,	PUNCT
cana-1246	92	106	4	4	NUM
cana-1246	92	107	,	,	PUNCT
cana-1246	92	108	6	6	NUM
cana-1246	92	109	,	,	PUNCT
cana-1246	92	110	2	2	NUM
cana-1246	92	111	)	)	PUNCT
cana-1246	92	112	∈	∈	PROPN
cana-1246	92	113	𝑍7	𝑍7	NOUN
cana-1246	92	114	5	5	NUM
cana-1246	92	115	,	,	PUNCT
cana-1246	92	116	such	such	ADJ
cana-1246	92	117	that	that	SCONJ
cana-1246	92	118	𝑥𝑔2	𝑥𝑔2	NOUN
cana-1246	92	119	≠	≠	PROPN
cana-1246	92	120	𝑔2𝑥	𝑔2𝑥	PROPN
cana-1246	92	121	𝐴3	𝐴3	PROPN
cana-1246	92	122	chooses	choose	VERB
cana-1246	92	123	an	an	DET
cana-1246	92	124	element	element	NOUN
cana-1246	92	125	𝑔3	𝑔3	ADJ
cana-1246	92	126	=	=	SYM
cana-1246	92	127	(	(	PUNCT
cana-1246	92	128	3	3	NUM
cana-1246	92	129	,	,	PUNCT
cana-1246	92	130	4	4	NUM
cana-1246	92	131	,	,	PUNCT
cana-1246	92	132	6	6	NUM
cana-1246	92	133	,	,	PUNCT
cana-1246	92	134	4	4	NUM
cana-1246	92	135	,	,	PUNCT
cana-1246	92	136	6	6	NUM
cana-1246	92	137	)	)	PUNCT
cana-1246	92	138	∈	∈	PROPN
cana-1246	92	139	𝑍7	𝑍7	NOUN
cana-1246	92	140	5	5	NUM
cana-1246	92	141	,	,	PUNCT
cana-1246	92	142	such	such	ADJ
cana-1246	92	143	that	that	DET
cana-1246	92	144	𝑥𝑔3	𝑥𝑔3	NOUN
cana-1246	92	145	≠	≠	PROPN
cana-1246	92	146	𝑔3𝑥	𝑔3𝑥	PUNCT
cana-1246	92	147	𝐴4	𝐴4	PROPN
cana-1246	92	148	chooses	choose	VERB
cana-1246	92	149	an	an	DET
cana-1246	92	150	element	element	NOUN
cana-1246	92	151	𝑔4	𝑔4	NOUN
cana-1246	92	152	=	=	SYM
cana-1246	92	153	(	(	PUNCT
cana-1246	92	154	1	1	NUM
cana-1246	92	155	,	,	PUNCT
cana-1246	92	156	0	0	NUM
cana-1246	92	157	,	,	PUNCT
cana-1246	92	158	5	5	NUM
cana-1246	92	159	,	,	PUNCT
cana-1246	92	160	3	3	NUM
cana-1246	92	161	,	,	PUNCT
cana-1246	92	162	1	1	NUM
cana-1246	92	163	)	)	PUNCT
cana-1246	92	164	∈	∈	PROPN
cana-1246	92	165	𝑍7	𝑍7	NOUN
cana-1246	92	166	5	5	NUM
cana-1246	92	167	,	,	PUNCT
cana-1246	92	168	such	such	ADJ
cana-1246	92	169	that	that	SCONJ
cana-1246	92	170	𝑥𝑔4	𝑥𝑔4	VERB
cana-1246	92	171	≠	≠	PROPN
cana-1246	92	172	𝑔4𝑥	𝑔4𝑥	PRON
cana-1246	92	173	𝐴5	𝐴5	NOUN
cana-1246	92	174	chooses	choose	VERB
cana-1246	92	175	an	an	DET
cana-1246	92	176	element	element	NOUN
cana-1246	92	177	𝑔5	𝑔5	NOUN
cana-1246	92	178	=	=	PUNCT
cana-1246	92	179	(	(	PUNCT
cana-1246	92	180	6	6	NUM
cana-1246	92	181	,	,	PUNCT
cana-1246	92	182	2	2	NUM
cana-1246	92	183	,	,	PUNCT
cana-1246	92	184	1	1	NUM
cana-1246	92	185	,	,	PUNCT
cana-1246	92	186	5	5	NUM
cana-1246	92	187	,	,	PUNCT
cana-1246	92	188	1	1	NUM
cana-1246	92	189	)	)	PUNCT
cana-1246	92	190	∈	∈	PROPN
cana-1246	92	191	𝑍7	𝑍7	NOUN
cana-1246	92	192	5	5	NUM
cana-1246	92	193	,	,	PUNCT
cana-1246	92	194	such	such	ADJ
cana-1246	92	195	that	that	SCONJ
cana-1246	92	196	𝑥𝑔5	𝑥𝑔5	NOUN
cana-1246	92	197	≠	≠	PROPN
cana-1246	92	198	𝑔5𝑥	𝑔5𝑥	PUNCT
cana-1246	92	199	also	also	ADV
cana-1246	92	200	𝑔1	𝑔1	PROPN
cana-1246	92	201	,	,	PUNCT
cana-1246	92	202	𝑔2	𝑔2	NOUN
cana-1246	92	203	,	,	PUNCT
cana-1246	92	204	𝑔3	𝑔3	ADJ
cana-1246	92	205	,	,	PUNCT
cana-1246	92	206	𝑔4	𝑔4	PROPN
cana-1246	92	207	,	,	PUNCT
cana-1246	92	208	𝑔5	𝑔5	PROPN
cana-1246	92	209	are	be	AUX
cana-1246	92	210	commute	commute	NOUN
cana-1246	92	211	each	each	DET
cana-1246	92	212	other	other	ADJ
cana-1246	92	213	.	.	PUNCT
cana-1246	93	1	round	round	ADV
cana-1246	93	2	1	1	NUM
cana-1246	93	3	:	:	PUNCT
cana-1246	93	4	𝐴1	𝐴1	PROPN
cana-1246	93	5	chooses	choose	VERB
cana-1246	93	6	an	an	DET
cana-1246	93	7	element	element	NOUN
cana-1246	93	8	𝑔1	𝑔1	PROPN
cana-1246	93	9	=	=	PUNCT
cana-1246	93	10	(	(	PUNCT
cana-1246	93	11	1	1	NUM
cana-1246	93	12	,	,	PUNCT
cana-1246	93	13	2	2	NUM
cana-1246	93	14	,	,	PUNCT
cana-1246	93	15	4	4	NUM
cana-1246	93	16	,	,	PUNCT
cana-1246	93	17	4	4	NUM
cana-1246	93	18	,	,	PUNCT
cana-1246	93	19	3	3	X
cana-1246	93	20	)	)	PUNCT
cana-1246	93	21	∈	∈	PROPN
cana-1246	93	22	𝑍7	𝑍7	NOUN
cana-1246	93	23	5	5	NUM
cana-1246	93	24	and	and	CCONJ
cana-1246	93	25	computes	compute	VERB
cana-1246	93	26	𝐾11	𝐾11	PROPN
cana-1246	93	27	=	=	SYM
cana-1246	93	28	𝑔1	𝑔1	PROPN
cana-1246	93	29	−1𝑥𝑔1	−1𝑥𝑔1	NOUN
cana-1246	93	30	=	=	PUNCT
cana-1246	93	31	(	(	PUNCT
cana-1246	93	32	6	6	NUM
cana-1246	93	33	,	,	PUNCT
cana-1246	93	34	5	5	NUM
cana-1246	93	35	,	,	PUNCT
cana-1246	93	36	3	3	NUM
cana-1246	93	37	,	,	PUNCT
cana-1246	93	38	3	3	NUM
cana-1246	93	39	,	,	PUNCT
cana-1246	93	40	2)(2	2)(2	NUM
cana-1246	93	41	,	,	PUNCT
cana-1246	93	42	2	2	NUM
cana-1246	93	43	,	,	PUNCT
cana-1246	93	44	5	5	NUM
cana-1246	93	45	,	,	PUNCT
cana-1246	93	46	1	1	NUM
cana-1246	93	47	,	,	PUNCT
cana-1246	93	48	3)(1	3)(1	NUM
cana-1246	93	49	,	,	PUNCT
cana-1246	93	50	2	2	NUM
cana-1246	93	51	,	,	PUNCT
cana-1246	93	52	4	4	NUM
cana-1246	93	53	,	,	PUNCT
cana-1246	93	54	4	4	NUM
cana-1246	93	55	,	,	PUNCT
cana-1246	93	56	3	3	X
cana-1246	93	57	)	)	PUNCT
cana-1246	93	58	communications	communication	NOUN
cana-1246	93	59	on	on	ADP
cana-1246	93	60	applied	apply	VERB
cana-1246	93	61	nonlinear	nonlinear	ADJ
cana-1246	93	62	analysis	analysis	NOUN
cana-1246	93	63	issn	issn	NOUN
cana-1246	93	64	:	:	PUNCT
cana-1246	93	65	1074	1074	NUM
cana-1246	93	66	-	-	PUNCT
cana-1246	93	67	133x	133x	NUM
cana-1246	93	68	vol	vol	NOUN
cana-1246	93	69	31	31	NUM
cana-1246	93	70	no	no	NOUN
cana-1246	93	71	.	.	PUNCT
cana-1246	94	1	6s	6s	NUM
cana-1246	94	2	(	(	PUNCT
cana-1246	94	3	2024	2024	NUM
cana-1246	94	4	)	)	PUNCT
cana-1246	94	5	598	598	NUM
cana-1246	94	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1246	94	7	=	=	SYM
cana-1246	94	8	(	(	PUNCT
cana-1246	94	9	2	2	NUM
cana-1246	94	10	,	,	PUNCT
cana-1246	94	11	2	2	NUM
cana-1246	94	12	,	,	PUNCT
cana-1246	94	13	5	5	NUM
cana-1246	94	14	,	,	PUNCT
cana-1246	94	15	1	1	NUM
cana-1246	94	16	,	,	PUNCT
cana-1246	94	17	5)and	5)and	PRON
cana-1246	94	18	sends	send	VERB
cana-1246	94	19	it	it	PRON
cana-1246	94	20	to	to	ADP
cana-1246	94	21	𝐴2	𝐴2	PROPN
cana-1246	94	22	𝐴2	𝐴2	PROPN
cana-1246	94	23	chooses	choose	VERB
cana-1246	94	24	an	an	DET
cana-1246	94	25	element	element	NOUN
cana-1246	94	26	𝑔2	𝑔2	NOUN
cana-1246	94	27	=	=	PUNCT
cana-1246	94	28	(	(	PUNCT
cana-1246	94	29	3	3	NUM
cana-1246	94	30	,	,	PUNCT
cana-1246	94	31	1	1	NUM
cana-1246	94	32	,	,	PUNCT
cana-1246	94	33	4	4	NUM
cana-1246	94	34	,	,	PUNCT
cana-1246	94	35	6	6	NUM
cana-1246	94	36	,	,	PUNCT
cana-1246	94	37	2	2	NUM
cana-1246	94	38	)	)	PUNCT
cana-1246	94	39	∈	∈	NOUN
cana-1246	94	40	𝑍7	𝑍7	NOUN
cana-1246	95	1	5computes	5computes	NUM
cana-1246	95	2	𝐾12	𝐾12	PUNCT
cana-1246	95	3	=	=	PUNCT
cana-1246	95	4	𝑔2	𝑔2	NOUN
cana-1246	95	5	−1𝑥𝑔2	−1𝑥𝑔2	NOUN
cana-1246	95	6	=	=	SYM
cana-1246	95	7	(	(	PUNCT
cana-1246	95	8	4	4	NUM
cana-1246	95	9	,	,	PUNCT
cana-1246	95	10	6	6	NUM
cana-1246	95	11	,	,	PUNCT
cana-1246	95	12	3	3	NUM
cana-1246	95	13	,	,	PUNCT
cana-1246	95	14	1	1	NUM
cana-1246	95	15	,	,	PUNCT
cana-1246	95	16	2)(2	2)(2	NUM
cana-1246	95	17	,	,	PUNCT
cana-1246	95	18	2	2	NUM
cana-1246	95	19	,	,	PUNCT
cana-1246	95	20	5	5	NUM
cana-1246	95	21	,	,	PUNCT
cana-1246	95	22	1	1	NUM
cana-1246	95	23	,	,	PUNCT
cana-1246	95	24	3)(3	3)(3	NUM
cana-1246	95	25	,	,	PUNCT
cana-1246	95	26	1	1	NUM
cana-1246	95	27	,	,	PUNCT
cana-1246	95	28	4	4	NUM
cana-1246	95	29	,	,	PUNCT
cana-1246	95	30	6	6	NUM
cana-1246	95	31	,	,	PUNCT
cana-1246	95	32	2	2	NUM
cana-1246	95	33	)	)	PUNCT
cana-1246	95	34	=(	=(	NOUN
cana-1246	95	35	2	2	NUM
cana-1246	95	36	,	,	PUNCT
cana-1246	95	37	2	2	NUM
cana-1246	95	38	,	,	PUNCT
cana-1246	95	39	5	5	NUM
cana-1246	95	40	,	,	PUNCT
cana-1246	95	41	1	1	NUM
cana-1246	95	42	,	,	PUNCT
cana-1246	95	43	0)and	0)and	PROPN
cana-1246	95	44	sends	send	VERB
cana-1246	95	45	it	it	PRON
cana-1246	95	46	to	to	ADP
cana-1246	95	47	𝐴3	𝐴3	PROPN
cana-1246	95	48	𝐴3	𝐴3	PROPN
cana-1246	95	49	chooses	choose	VERB
cana-1246	95	50	an	an	DET
cana-1246	95	51	element	element	NOUN
cana-1246	95	52	𝑔3	𝑔3	ADJ
cana-1246	95	53	=	=	SYM
cana-1246	95	54	(	(	PUNCT
cana-1246	95	55	3	3	NUM
cana-1246	95	56	,	,	PUNCT
cana-1246	95	57	4	4	NUM
cana-1246	95	58	,	,	PUNCT
cana-1246	95	59	6	6	NUM
cana-1246	95	60	,	,	PUNCT
cana-1246	95	61	4	4	NUM
cana-1246	95	62	,	,	PUNCT
cana-1246	95	63	6	6	NUM
cana-1246	95	64	)	)	PUNCT
cana-1246	95	65	∈	∈	NOUN
cana-1246	95	66	𝑍7	𝑍7	NOUN
cana-1246	96	1	5computes	5computes	NUM
cana-1246	96	2	𝐾13	𝐾13	PUNCT
cana-1246	96	3	=	=	SYM
cana-1246	96	4	𝑔3	𝑔3	VERB
cana-1246	96	5	−1𝑥𝑔3	−1𝑥𝑔3	NOUN
cana-1246	96	6	=	=	SYM
cana-1246	96	7	(	(	PUNCT
cana-1246	96	8	4	4	NUM
cana-1246	96	9	,	,	PUNCT
cana-1246	96	10	3	3	NUM
cana-1246	96	11	,	,	PUNCT
cana-1246	96	12	1	1	NUM
cana-1246	96	13	,	,	PUNCT
cana-1246	96	14	3	3	NUM
cana-1246	96	15	,	,	PUNCT
cana-1246	96	16	0)(2	0)(2	NUM
cana-1246	96	17	,	,	PUNCT
cana-1246	96	18	2	2	NUM
cana-1246	96	19	,	,	PUNCT
cana-1246	96	20	5	5	NUM
cana-1246	96	21	,	,	PUNCT
cana-1246	96	22	1	1	NUM
cana-1246	96	23	,	,	PUNCT
cana-1246	96	24	3)(3	3)(3	NUM
cana-1246	96	25	,	,	PUNCT
cana-1246	96	26	4	4	NUM
cana-1246	96	27	,	,	PUNCT
cana-1246	96	28	6	6	NUM
cana-1246	96	29	,	,	PUNCT
cana-1246	96	30	4	4	NUM
cana-1246	96	31	,	,	PUNCT
cana-1246	96	32	6	6	NUM
cana-1246	96	33	)	)	PUNCT
cana-1246	96	34	=	=	SYM
cana-1246	96	35	(	(	PUNCT
cana-1246	96	36	2	2	NUM
cana-1246	96	37	,	,	PUNCT
cana-1246	96	38	2	2	NUM
cana-1246	96	39	,	,	PUNCT
cana-1246	96	40	5	5	NUM
cana-1246	96	41	,	,	PUNCT
cana-1246	96	42	1	1	NUM
cana-1246	96	43	,	,	PUNCT
cana-1246	96	44	4)and	4)and	NUM
cana-1246	96	45	sends	send	VERB
cana-1246	96	46	it	it	PRON
cana-1246	96	47	to	to	ADP
cana-1246	96	48	𝐴4	𝐴4	PROPN
cana-1246	96	49	𝐴4	𝐴4	PROPN
cana-1246	96	50	chooses	choose	VERB
cana-1246	96	51	an	an	DET
cana-1246	96	52	element	element	NOUN
cana-1246	96	53	𝑔4	𝑔4	NOUN
cana-1246	96	54	=	=	SYM
cana-1246	96	55	(	(	PUNCT
cana-1246	96	56	1	1	NUM
cana-1246	96	57	,	,	PUNCT
cana-1246	96	58	0	0	NUM
cana-1246	96	59	,	,	PUNCT
cana-1246	96	60	5	5	NUM
cana-1246	96	61	,	,	PUNCT
cana-1246	96	62	3	3	NUM
cana-1246	96	63	,	,	PUNCT
cana-1246	96	64	1	1	NUM
cana-1246	96	65	)	)	PUNCT
cana-1246	96	66	∈	∈	NOUN
cana-1246	96	67	𝑍7	𝑍7	NOUN
cana-1246	97	1	5computes	5computes	NUM
cana-1246	97	2	𝐾14	𝐾14	NOUN
cana-1246	97	3	=	=	SYM
cana-1246	97	4	𝑔4	𝑔4	NOUN
cana-1246	97	5	−1𝑥𝑔4	−1𝑥𝑔4	VERB
cana-1246	97	6	=	=	SYM
cana-1246	97	7	(	(	PUNCT
cana-1246	97	8	6	6	NUM
cana-1246	97	9	,	,	PUNCT
cana-1246	97	10	,	,	PUNCT
cana-1246	97	11	0	0	NUM
cana-1246	97	12	,	,	PUNCT
cana-1246	97	13	2	2	NUM
cana-1246	97	14	,	,	PUNCT
cana-1246	97	15	4	4	NUM
cana-1246	97	16	,	,	PUNCT
cana-1246	97	17	4)(2	4)(2	NUM
cana-1246	97	18	,	,	PUNCT
cana-1246	97	19	2	2	NUM
cana-1246	97	20	,	,	PUNCT
cana-1246	97	21	5	5	NUM
cana-1246	97	22	,	,	PUNCT
cana-1246	97	23	1	1	NUM
cana-1246	97	24	,	,	PUNCT
cana-1246	97	25	3)(1	3)(1	NUM
cana-1246	97	26	,	,	PUNCT
cana-1246	97	27	0	0	NUM
cana-1246	97	28	,	,	PUNCT
cana-1246	97	29	5	5	NUM
cana-1246	97	30	,	,	PUNCT
cana-1246	97	31	3	3	NUM
cana-1246	97	32	,	,	PUNCT
cana-1246	97	33	1	1	NUM
cana-1246	97	34	)	)	PUNCT
cana-1246	97	35	=	=	NOUN
cana-1246	97	36	(	(	PUNCT
cana-1246	97	37	2	2	NUM
cana-1246	97	38	,	,	PUNCT
cana-1246	97	39	2	2	NUM
cana-1246	97	40	,	,	PUNCT
cana-1246	97	41	5	5	NUM
cana-1246	97	42	,	,	PUNCT
cana-1246	97	43	1	1	NUM
cana-1246	97	44	,	,	PUNCT
cana-1246	97	45	0)and	0)and	PROPN
cana-1246	97	46	sends	send	VERB
cana-1246	97	47	it	it	PRON
cana-1246	97	48	to	to	ADP
cana-1246	97	49	𝐴5	𝐴5	PROPN
cana-1246	97	50	𝐴5	𝐴5	PROPN
cana-1246	97	51	chooses	choose	VERB
cana-1246	97	52	an	an	DET
cana-1246	97	53	element	element	NOUN
cana-1246	97	54	𝑔5	𝑔5	NOUN
cana-1246	97	55	=	=	PUNCT
cana-1246	98	1	(	(	PUNCT
cana-1246	98	2	6	6	NUM
cana-1246	98	3	,	,	PUNCT
cana-1246	98	4	2	2	NUM
cana-1246	98	5	,	,	PUNCT
cana-1246	98	6	1	1	NUM
cana-1246	98	7	,	,	PUNCT
cana-1246	98	8	5	5	NUM
cana-1246	98	9	,	,	PUNCT
cana-1246	98	10	1	1	NUM
cana-1246	98	11	)	)	PUNCT
cana-1246	98	12	∈	∈	NOUN
cana-1246	98	13	𝑍7	𝑍7	NOUN
cana-1246	99	1	5computes	5computes	NUM
cana-1246	99	2	𝐾15	𝐾15	PROPN
cana-1246	99	3	=	=	SYM
cana-1246	99	4	𝑔5	𝑔5	PROPN
cana-1246	99	5	−1𝑥𝑔5	−1𝑥𝑔5	NOUN
cana-1246	99	6	=	=	SYM
cana-1246	99	7	(	(	PUNCT
cana-1246	99	8	1	1	NUM
cana-1246	99	9	,	,	PUNCT
cana-1246	99	10	5	5	NUM
cana-1246	99	11	,	,	PUNCT
cana-1246	99	12	6	6	NUM
cana-1246	99	13	,	,	PUNCT
cana-1246	99	14	2	2	NUM
cana-1246	99	15	,	,	PUNCT
cana-1246	99	16	1)(2	1)(2	NUM
cana-1246	99	17	,	,	PUNCT
cana-1246	99	18	2	2	NUM
cana-1246	99	19	,	,	PUNCT
cana-1246	99	20	5	5	NUM
cana-1246	99	21	,	,	PUNCT
cana-1246	99	22	1	1	NUM
cana-1246	99	23	,	,	PUNCT
cana-1246	99	24	3)(6	3)(6	NUM
cana-1246	99	25	,	,	PUNCT
cana-1246	99	26	2	2	NUM
cana-1246	99	27	,	,	PUNCT
cana-1246	99	28	1	1	NUM
cana-1246	99	29	,	,	PUNCT
cana-1246	99	30	5	5	NUM
cana-1246	99	31	,	,	PUNCT
cana-1246	99	32	1	1	NUM
cana-1246	99	33	)	)	PUNCT
cana-1246	99	34	=	=	NOUN
cana-1246	99	35	(	(	PUNCT
cana-1246	99	36	2	2	NUM
cana-1246	99	37	,	,	PUNCT
cana-1246	99	38	2	2	NUM
cana-1246	99	39	,	,	PUNCT
cana-1246	99	40	5	5	NUM
cana-1246	99	41	,	,	PUNCT
cana-1246	99	42	1	1	NUM
cana-1246	99	43	,	,	PUNCT
cana-1246	99	44	4)and	4)and	NUM
cana-1246	99	45	sends	send	VERB
cana-1246	99	46	it	it	PRON
cana-1246	99	47	to	to	PART
cana-1246	99	48	𝐴1	𝐴1	VERB
cana-1246	99	49	round	round	ADV
cana-1246	99	50	2	2	NUM
cana-1246	99	51	:	:	PUNCT
cana-1246	99	52	𝐴1	𝐴1	PROPN
cana-1246	99	53	computes	compute	VERB
cana-1246	99	54	𝐾21	𝐾21	NOUN
cana-1246	99	55	=	=	SYM
cana-1246	99	56	𝑔1	𝑔1	PROPN
cana-1246	100	1	−1𝐾15𝑔1	−1𝐾15𝑔1	NUM
cana-1246	100	2	=	=	SYM
cana-1246	100	3	(	(	PUNCT
cana-1246	100	4	6	6	NUM
cana-1246	100	5	,	,	PUNCT
cana-1246	100	6	5	5	NUM
cana-1246	100	7	,	,	PUNCT
cana-1246	100	8	3	3	NUM
cana-1246	100	9	,	,	PUNCT
cana-1246	100	10	3	3	NUM
cana-1246	100	11	,	,	PUNCT
cana-1246	100	12	2)(2	2)(2	NUM
cana-1246	100	13	,	,	PUNCT
cana-1246	100	14	2	2	NUM
cana-1246	100	15	,	,	PUNCT
cana-1246	100	16	5	5	NUM
cana-1246	100	17	,	,	PUNCT
cana-1246	100	18	1	1	NUM
cana-1246	100	19	,	,	PUNCT
cana-1246	100	20	4)(1	4)(1	NUM
cana-1246	100	21	,	,	PUNCT
cana-1246	100	22	2	2	NUM
cana-1246	100	23	,	,	PUNCT
cana-1246	100	24	4	4	NUM
cana-1246	100	25	,	,	PUNCT
cana-1246	100	26	4	4	NUM
cana-1246	100	27	,	,	PUNCT
cana-1246	100	28	3	3	NUM
cana-1246	100	29	)	)	PUNCT
cana-1246	100	30	=	=	SYM
cana-1246	100	31	(	(	PUNCT
cana-1246	100	32	2	2	NUM
cana-1246	100	33	,	,	PUNCT
cana-1246	100	34	2	2	NUM
cana-1246	100	35	,	,	PUNCT
cana-1246	100	36	5	5	NUM
cana-1246	100	37	,	,	PUNCT
cana-1246	100	38	1	1	NUM
cana-1246	100	39	,	,	PUNCT
cana-1246	100	40	6	6	NUM
cana-1246	100	41	)	)	PUNCT
cana-1246	101	1	and	and	CCONJ
cana-1246	101	2	sends	send	VERB
cana-1246	101	3	it	it	PRON
cana-1246	101	4	to	to	ADP
cana-1246	101	5	𝐴2	𝐴2	PROPN
cana-1246	101	6	𝐴2	𝐴2	NOUN
cana-1246	101	7	computes	compute	VERB
cana-1246	101	8	𝐾22	𝐾22	NOUN
cana-1246	101	9	=	=	PUNCT
cana-1246	101	10	𝑔2	𝑔2	VERB
cana-1246	101	11	−1𝐾11𝑔2	−1𝐾11𝑔2	NOUN
cana-1246	101	12	=	=	PUNCT
cana-1246	101	13	(	(	PUNCT
cana-1246	101	14	4	4	NUM
cana-1246	101	15	,	,	PUNCT
cana-1246	101	16	6	6	NUM
cana-1246	101	17	,	,	PUNCT
cana-1246	101	18	3	3	NUM
cana-1246	101	19	,	,	PUNCT
cana-1246	101	20	1	1	NUM
cana-1246	101	21	,	,	PUNCT
cana-1246	101	22	2)(2	2)(2	NUM
cana-1246	101	23	,	,	PUNCT
cana-1246	101	24	2	2	NUM
cana-1246	101	25	,	,	PUNCT
cana-1246	101	26	5	5	NUM
cana-1246	101	27	,	,	PUNCT
cana-1246	101	28	1	1	NUM
cana-1246	101	29	,	,	PUNCT
cana-1246	101	30	5)(3	5)(3	NUM
cana-1246	101	31	,	,	PUNCT
cana-1246	101	32	1	1	NUM
cana-1246	101	33	,	,	PUNCT
cana-1246	101	34	4	4	NUM
cana-1246	101	35	,	,	PUNCT
cana-1246	101	36	6	6	NUM
cana-1246	101	37	,	,	PUNCT
cana-1246	101	38	2	2	NUM
cana-1246	101	39	)	)	PUNCT
cana-1246	101	40	=	=	NOUN
cana-1246	101	41	(	(	PUNCT
cana-1246	101	42	2	2	NUM
cana-1246	101	43	,	,	PUNCT
cana-1246	101	44	2	2	NUM
cana-1246	101	45	,	,	PUNCT
cana-1246	101	46	5	5	NUM
cana-1246	101	47	,	,	PUNCT
cana-1246	101	48	1	1	NUM
cana-1246	101	49	,	,	PUNCT
cana-1246	101	50	2	2	NUM
cana-1246	101	51	)	)	PUNCT
cana-1246	101	52	and	and	CCONJ
cana-1246	101	53	sends	send	VERB
cana-1246	101	54	it	it	PRON
cana-1246	101	55	to	to	ADP
cana-1246	101	56	𝐴3	𝐴3	PROPN
cana-1246	101	57	𝐴3	𝐴3	PROPN
cana-1246	101	58	computes	compute	VERB
cana-1246	101	59	𝐾23	𝐾23	NOUN
cana-1246	101	60	=	=	PUNCT
cana-1246	101	61	𝑔3	𝑔3	VERB
cana-1246	101	62	−1𝐾12𝑔3	−1𝐾12𝑔3	PROPN
cana-1246	101	63	=	=	PUNCT
cana-1246	101	64	(	(	PUNCT
cana-1246	101	65	4	4	NUM
cana-1246	101	66	,	,	PUNCT
cana-1246	101	67	3	3	NUM
cana-1246	101	68	,	,	PUNCT
cana-1246	101	69	1	1	NUM
cana-1246	101	70	,	,	PUNCT
cana-1246	101	71	3	3	NUM
cana-1246	101	72	,	,	PUNCT
cana-1246	101	73	0)(2	0)(2	NUM
cana-1246	101	74	,	,	PUNCT
cana-1246	101	75	2	2	NUM
cana-1246	101	76	,	,	PUNCT
cana-1246	101	77	5	5	NUM
cana-1246	101	78	,	,	PUNCT
cana-1246	101	79	1	1	NUM
cana-1246	101	80	,	,	PUNCT
cana-1246	101	81	0)(3	0)(3	NOUN
cana-1246	101	82	,	,	PUNCT
cana-1246	101	83	4	4	NUM
cana-1246	101	84	,	,	PUNCT
cana-1246	101	85	6	6	NUM
cana-1246	101	86	,	,	PUNCT
cana-1246	101	87	4	4	NUM
cana-1246	101	88	,	,	PUNCT
cana-1246	101	89	6	6	NUM
cana-1246	101	90	)	)	PUNCT
cana-1246	101	91	=	=	SYM
cana-1246	101	92	(	(	PUNCT
cana-1246	101	93	2	2	NUM
cana-1246	101	94	,	,	PUNCT
cana-1246	101	95	2	2	NUM
cana-1246	101	96	,	,	PUNCT
cana-1246	101	97	5	5	NUM
cana-1246	101	98	,	,	PUNCT
cana-1246	101	99	1	1	NUM
cana-1246	101	100	,	,	PUNCT
cana-1246	101	101	1	1	NUM
cana-1246	101	102	)	)	PUNCT
cana-1246	101	103	and	and	CCONJ
cana-1246	101	104	sends	send	VERB
cana-1246	101	105	it	it	PRON
cana-1246	101	106	to	to	ADP
cana-1246	101	107	𝐴4	𝐴4	PROPN
cana-1246	101	108	𝐴4	𝐴4	PROPN
cana-1246	101	109	computes	compute	VERB
cana-1246	101	110	𝐾24	𝐾24	PROPN
cana-1246	101	111	=	=	PUNCT
cana-1246	101	112	𝑔4	𝑔4	NOUN
cana-1246	101	113	−1𝐾13𝑔4	−1𝐾13𝑔4	PROPN
cana-1246	101	114	=	=	SYM
cana-1246	101	115	(	(	PUNCT
cana-1246	101	116	6	6	NUM
cana-1246	101	117	,	,	PUNCT
cana-1246	101	118	,	,	PUNCT
cana-1246	101	119	0	0	NUM
cana-1246	101	120	,	,	PUNCT
cana-1246	101	121	2	2	NUM
cana-1246	101	122	,	,	PUNCT
cana-1246	101	123	4	4	NUM
cana-1246	101	124	,	,	PUNCT
cana-1246	101	125	4)(2	4)(2	NUM
cana-1246	101	126	,	,	PUNCT
cana-1246	101	127	2	2	NUM
cana-1246	101	128	,	,	PUNCT
cana-1246	101	129	5	5	NUM
cana-1246	101	130	,	,	PUNCT
cana-1246	101	131	1	1	NUM
cana-1246	101	132	,	,	PUNCT
cana-1246	101	133	4)(1	4)(1	NUM
cana-1246	101	134	,	,	PUNCT
cana-1246	101	135	0	0	NUM
cana-1246	101	136	,	,	PUNCT
cana-1246	101	137	5	5	NUM
cana-1246	101	138	,	,	PUNCT
cana-1246	101	139	3	3	NUM
cana-1246	101	140	,	,	PUNCT
cana-1246	101	141	1	1	NUM
cana-1246	101	142	)	)	PUNCT
cana-1246	101	143	=	=	NOUN
cana-1246	101	144	(	(	PUNCT
cana-1246	101	145	2	2	NUM
cana-1246	101	146	,	,	PUNCT
cana-1246	101	147	2	2	NUM
cana-1246	101	148	,	,	PUNCT
cana-1246	101	149	5	5	NUM
cana-1246	101	150	,	,	PUNCT
cana-1246	101	151	1	1	NUM
cana-1246	101	152	,	,	PUNCT
cana-1246	101	153	1	1	NUM
cana-1246	101	154	)	)	PUNCT
cana-1246	101	155	and	and	CCONJ
cana-1246	101	156	sends	send	VERB
cana-1246	101	157	it	it	PRON
cana-1246	101	158	to	to	ADP
cana-1246	101	159	𝐴5	𝐴5	PROPN
cana-1246	101	160	𝐴5	𝐴5	NOUN
cana-1246	101	161	computes	compute	VERB
cana-1246	101	162	𝐾25	𝐾25	PROPN
cana-1246	101	163	=	=	SYM
cana-1246	101	164	𝑔5	𝑔5	PROPN
cana-1246	101	165	−1𝐾14𝑔5	−1𝐾14𝑔5	PROPN
cana-1246	101	166	=	=	SYM
cana-1246	101	167	(	(	PUNCT
cana-1246	101	168	1	1	NUM
cana-1246	101	169	,	,	PUNCT
cana-1246	101	170	5	5	NUM
cana-1246	101	171	,	,	PUNCT
cana-1246	101	172	6	6	NUM
cana-1246	101	173	,	,	PUNCT
cana-1246	101	174	2	2	NUM
cana-1246	101	175	,	,	PUNCT
cana-1246	101	176	1)(2	1)(2	NUM
cana-1246	101	177	,	,	PUNCT
cana-1246	101	178	2	2	NUM
cana-1246	101	179	,	,	PUNCT
cana-1246	101	180	5	5	NUM
cana-1246	101	181	,	,	PUNCT
cana-1246	101	182	1	1	NUM
cana-1246	101	183	,	,	PUNCT
cana-1246	101	184	0)(6	0)(6	NUM
cana-1246	101	185	,	,	PUNCT
cana-1246	101	186	2	2	NUM
cana-1246	101	187	,	,	PUNCT
cana-1246	101	188	1	1	NUM
cana-1246	101	189	,	,	PUNCT
cana-1246	101	190	5	5	NUM
cana-1246	101	191	,	,	PUNCT
cana-1246	101	192	1	1	NUM
cana-1246	101	193	)	)	PUNCT
cana-1246	101	194	=	=	NOUN
cana-1246	101	195	(	(	PUNCT
cana-1246	101	196	2	2	NUM
cana-1246	101	197	,	,	PUNCT
cana-1246	101	198	2	2	NUM
cana-1246	101	199	,	,	PUNCT
cana-1246	101	200	5	5	NUM
cana-1246	101	201	,	,	PUNCT
cana-1246	101	202	1	1	NUM
cana-1246	101	203	,	,	PUNCT
cana-1246	101	204	1	1	NUM
cana-1246	101	205	)	)	PUNCT
cana-1246	101	206	and	and	CCONJ
cana-1246	101	207	sends	send	VERB
cana-1246	101	208	it	it	PRON
cana-1246	101	209	to	to	PART
cana-1246	101	210	𝐴1	𝐴1	VERB
cana-1246	101	211	round	round	ADV
cana-1246	101	212	3	3	NUM
cana-1246	101	213	:	:	PUNCT
cana-1246	101	214	𝐴1	𝐴1	PROPN
cana-1246	101	215	computes	compute	VERB
cana-1246	101	216	𝐾31	𝐾31	PROPN
cana-1246	101	217	=	=	SYM
cana-1246	101	218	𝑔1	𝑔1	PROPN
cana-1246	101	219	−1𝐾25𝑔1	−1𝐾25𝑔1	PROPN
cana-1246	101	220	=	=	PUNCT
cana-1246	101	221	(	(	PUNCT
cana-1246	101	222	6	6	NUM
cana-1246	101	223	,	,	PUNCT
cana-1246	101	224	5	5	NUM
cana-1246	101	225	,	,	PUNCT
cana-1246	101	226	3	3	NUM
cana-1246	101	227	,	,	PUNCT
cana-1246	101	228	3	3	NUM
cana-1246	101	229	,	,	PUNCT
cana-1246	101	230	2)(2	2)(2	NUM
cana-1246	101	231	,	,	PUNCT
cana-1246	101	232	2	2	NUM
cana-1246	101	233	,	,	PUNCT
cana-1246	101	234	5	5	NUM
cana-1246	101	235	,	,	PUNCT
cana-1246	101	236	1	1	NUM
cana-1246	101	237	,	,	PUNCT
cana-1246	101	238	1)(1	1)(1	NUM
cana-1246	101	239	,	,	PUNCT
cana-1246	101	240	2	2	NUM
cana-1246	101	241	,	,	PUNCT
cana-1246	101	242	4	4	NUM
cana-1246	101	243	,	,	PUNCT
cana-1246	101	244	4	4	NUM
cana-1246	101	245	,	,	PUNCT
cana-1246	101	246	3	3	NUM
cana-1246	101	247	)	)	PUNCT
cana-1246	101	248	=	=	SYM
cana-1246	101	249	(	(	PUNCT
cana-1246	101	250	2	2	NUM
cana-1246	101	251	,	,	PUNCT
cana-1246	101	252	2	2	NUM
cana-1246	101	253	,	,	PUNCT
cana-1246	101	254	5	5	NUM
cana-1246	101	255	,	,	PUNCT
cana-1246	101	256	1	1	NUM
cana-1246	101	257	,	,	PUNCT
cana-1246	101	258	3	3	NUM
cana-1246	101	259	)	)	PUNCT
cana-1246	101	260	and	and	CCONJ
cana-1246	101	261	sends	send	VERB
cana-1246	101	262	it	it	PRON
cana-1246	101	263	to	to	ADP
cana-1246	101	264	𝐴2	𝐴2	PROPN
cana-1246	101	265	𝐴2	𝐴2	NOUN
cana-1246	101	266	computes	compute	VERB
cana-1246	101	267	𝐾32	𝐾32	PROPN
cana-1246	101	268	=	=	PUNCT
cana-1246	101	269	𝑔2	𝑔2	VERB
cana-1246	101	270	−1𝐾11𝑔2	−1𝐾11𝑔2	NOUN
cana-1246	101	271	=	=	PUNCT
cana-1246	101	272	(	(	PUNCT
cana-1246	101	273	4	4	NUM
cana-1246	101	274	,	,	PUNCT
cana-1246	101	275	6	6	NUM
cana-1246	101	276	,	,	PUNCT
cana-1246	101	277	3	3	NUM
cana-1246	101	278	,	,	PUNCT
cana-1246	101	279	1	1	NUM
cana-1246	101	280	,	,	PUNCT
cana-1246	101	281	2)(2	2)(2	NUM
cana-1246	101	282	,	,	PUNCT
cana-1246	101	283	2	2	NUM
cana-1246	101	284	,	,	PUNCT
cana-1246	101	285	5	5	NUM
cana-1246	101	286	,	,	PUNCT
cana-1246	101	287	1	1	NUM
cana-1246	101	288	,	,	PUNCT
cana-1246	101	289	6)(3	6)(3	NOUN
cana-1246	101	290	,	,	PUNCT
cana-1246	101	291	1	1	NUM
cana-1246	101	292	,	,	PUNCT
cana-1246	101	293	4	4	NUM
cana-1246	101	294	,	,	PUNCT
cana-1246	101	295	6	6	NUM
cana-1246	101	296	,	,	PUNCT
cana-1246	101	297	2	2	NUM
cana-1246	101	298	)	)	PUNCT
cana-1246	101	299	=	=	NOUN
cana-1246	101	300	(	(	PUNCT
cana-1246	101	301	2	2	NUM
cana-1246	101	302	,	,	PUNCT
cana-1246	101	303	2	2	NUM
cana-1246	101	304	,	,	PUNCT
cana-1246	101	305	5	5	NUM
cana-1246	101	306	,	,	PUNCT
cana-1246	101	307	1	1	NUM
cana-1246	101	308	,	,	PUNCT
cana-1246	101	309	3	3	NUM
cana-1246	101	310	)	)	PUNCT
cana-1246	101	311	and	and	CCONJ
cana-1246	101	312	sends	send	VERB
cana-1246	101	313	it	it	PRON
cana-1246	101	314	to	to	ADP
cana-1246	101	315	𝐴3	𝐴3	PROPN
cana-1246	101	316	𝐴3	𝐴3	PROPN
cana-1246	101	317	computes	compute	VERB
cana-1246	101	318	𝐾33	𝐾33	PROPN
cana-1246	101	319	=	=	SYM
cana-1246	101	320	𝑔3	𝑔3	VERB
cana-1246	101	321	−1𝐾22𝑔3	−1𝐾22𝑔3	PROPN
cana-1246	101	322	=	=	PUNCT
cana-1246	101	323	(	(	PUNCT
cana-1246	101	324	4	4	NUM
cana-1246	101	325	,	,	PUNCT
cana-1246	101	326	3	3	NUM
cana-1246	101	327	,	,	PUNCT
cana-1246	101	328	1	1	NUM
cana-1246	101	329	,	,	PUNCT
cana-1246	101	330	3	3	NUM
cana-1246	101	331	,	,	PUNCT
cana-1246	101	332	0)(2	0)(2	NUM
cana-1246	101	333	,	,	PUNCT
cana-1246	101	334	2	2	NUM
cana-1246	101	335	,	,	PUNCT
cana-1246	101	336	5	5	NUM
cana-1246	101	337	,	,	PUNCT
cana-1246	101	338	1	1	NUM
cana-1246	101	339	,	,	PUNCT
cana-1246	101	340	2)(3	2)(3	NUM
cana-1246	101	341	,	,	PUNCT
cana-1246	101	342	4	4	NUM
cana-1246	101	343	,	,	PUNCT
cana-1246	101	344	6	6	NUM
cana-1246	101	345	,	,	PUNCT
cana-1246	101	346	4	4	NUM
cana-1246	101	347	,	,	PUNCT
cana-1246	101	348	6	6	NUM
cana-1246	101	349	)	)	PUNCT
cana-1246	101	350	=	=	SYM
cana-1246	101	351	(	(	PUNCT
cana-1246	101	352	2	2	NUM
cana-1246	101	353	,	,	PUNCT
cana-1246	101	354	2	2	NUM
cana-1246	101	355	,	,	PUNCT
cana-1246	101	356	5	5	NUM
cana-1246	101	357	,	,	PUNCT
cana-1246	101	358	1	1	NUM
cana-1246	101	359	,	,	PUNCT
cana-1246	101	360	3	3	NUM
cana-1246	101	361	)	)	PUNCT
cana-1246	101	362	and	and	CCONJ
cana-1246	101	363	sends	send	VERB
cana-1246	101	364	it	it	PRON
cana-1246	101	365	to	to	ADP
cana-1246	101	366	𝐴4	𝐴4	PROPN
cana-1246	101	367	𝐴4	𝐴4	PROPN
cana-1246	101	368	computes	compute	VERB
cana-1246	101	369	𝐾34	𝐾34	PUNCT
cana-1246	101	370	=	=	PUNCT
cana-1246	101	371	𝑔4	𝑔4	NOUN
cana-1246	101	372	−1𝐾23𝑔4	−1𝐾23𝑔4	NUM
cana-1246	101	373	=	=	SYM
cana-1246	101	374	(	(	PUNCT
cana-1246	101	375	6	6	NUM
cana-1246	101	376	,	,	PUNCT
cana-1246	101	377	,	,	PUNCT
cana-1246	101	378	0	0	NUM
cana-1246	101	379	,	,	PUNCT
cana-1246	101	380	2	2	NUM
cana-1246	101	381	,	,	PUNCT
cana-1246	101	382	4	4	NUM
cana-1246	101	383	,	,	PUNCT
cana-1246	101	384	4)(2	4)(2	NUM
cana-1246	101	385	,	,	PUNCT
cana-1246	101	386	2	2	NUM
cana-1246	101	387	,	,	PUNCT
cana-1246	101	388	5	5	NUM
cana-1246	101	389	,	,	PUNCT
cana-1246	101	390	1	1	NUM
cana-1246	101	391	,	,	PUNCT
cana-1246	101	392	1)(1	1)(1	NUM
cana-1246	101	393	,	,	PUNCT
cana-1246	101	394	0	0	NUM
cana-1246	101	395	,	,	PUNCT
cana-1246	101	396	5	5	NUM
cana-1246	101	397	,	,	PUNCT
cana-1246	101	398	3	3	NUM
cana-1246	101	399	,	,	PUNCT
cana-1246	101	400	1	1	NUM
cana-1246	101	401	)	)	PUNCT
cana-1246	101	402	=	=	NOUN
cana-1246	101	403	(	(	PUNCT
cana-1246	101	404	2	2	NUM
cana-1246	101	405	,	,	PUNCT
cana-1246	101	406	2	2	NUM
cana-1246	101	407	,	,	PUNCT
cana-1246	101	408	5	5	NUM
cana-1246	101	409	,	,	PUNCT
cana-1246	101	410	1	1	NUM
cana-1246	101	411	,	,	PUNCT
cana-1246	101	412	5	5	NUM
cana-1246	101	413	)	)	PUNCT
cana-1246	101	414	and	and	CCONJ
cana-1246	101	415	sends	send	VERB
cana-1246	101	416	it	it	PRON
cana-1246	101	417	to	to	ADP
cana-1246	101	418	𝐴5	𝐴5	PROPN
cana-1246	101	419	𝐴5	𝐴5	PROPN
cana-1246	101	420	computes	compute	VERB
cana-1246	101	421	𝐾35	𝐾35	PROPN
cana-1246	101	422	=	=	SYM
cana-1246	101	423	𝑔5	𝑔5	PROPN
cana-1246	101	424	−1𝐾24𝑔5	−1𝐾24𝑔5	NUM
cana-1246	101	425	=	=	SYM
cana-1246	101	426	(	(	PUNCT
cana-1246	101	427	1	1	NUM
cana-1246	101	428	,	,	PUNCT
cana-1246	101	429	5	5	NUM
cana-1246	101	430	,	,	PUNCT
cana-1246	101	431	6	6	NUM
cana-1246	101	432	,	,	PUNCT
cana-1246	101	433	2	2	NUM
cana-1246	101	434	,	,	PUNCT
cana-1246	101	435	1)(2	1)(2	NUM
cana-1246	101	436	,	,	PUNCT
cana-1246	101	437	2	2	NUM
cana-1246	101	438	,	,	PUNCT
cana-1246	101	439	5	5	NUM
cana-1246	101	440	,	,	PUNCT
cana-1246	101	441	1	1	NUM
cana-1246	101	442	,	,	PUNCT
cana-1246	101	443	1)(6	1)(6	NUM
cana-1246	101	444	,	,	PUNCT
cana-1246	101	445	2	2	NUM
cana-1246	101	446	,	,	PUNCT
cana-1246	101	447	1	1	NUM
cana-1246	101	448	,	,	PUNCT
cana-1246	101	449	5	5	NUM
cana-1246	101	450	,	,	PUNCT
cana-1246	101	451	1	1	NUM
cana-1246	101	452	)	)	PUNCT
cana-1246	101	453	=	=	NOUN
cana-1246	101	454	(	(	PUNCT
cana-1246	101	455	2	2	NUM
cana-1246	101	456	,	,	PUNCT
cana-1246	101	457	2	2	NUM
cana-1246	101	458	,	,	PUNCT
cana-1246	101	459	5	5	NUM
cana-1246	101	460	,	,	PUNCT
cana-1246	101	461	1	1	NUM
cana-1246	101	462	,	,	PUNCT
cana-1246	101	463	2	2	NUM
cana-1246	101	464	)	)	PUNCT
cana-1246	101	465	and	and	CCONJ
cana-1246	101	466	sends	send	VERB
cana-1246	101	467	it	it	PRON
cana-1246	101	468	to	to	PART
cana-1246	101	469	𝐴1	𝐴1	VERB
cana-1246	101	470	round	round	ADP
cana-1246	101	471	4	4	NUM
cana-1246	101	472	:	:	PUNCT
cana-1246	101	473	𝐴1	𝐴1	PROPN
cana-1246	101	474	computes	compute	VERB
cana-1246	101	475	𝐾41	𝐾41	PROPN
cana-1246	101	476	=	=	SYM
cana-1246	101	477	𝑔1	𝑔1	PROPN
cana-1246	101	478	−1𝐾35𝑔1	−1𝐾35𝑔1	PROPN
cana-1246	101	479	=	=	PUNCT
cana-1246	101	480	(	(	PUNCT
cana-1246	101	481	6	6	NUM
cana-1246	101	482	,	,	PUNCT
cana-1246	101	483	5	5	NUM
cana-1246	101	484	,	,	PUNCT
cana-1246	101	485	3	3	NUM
cana-1246	101	486	,	,	PUNCT
cana-1246	101	487	3	3	NUM
cana-1246	101	488	,	,	PUNCT
cana-1246	101	489	2)(2	2)(2	NUM
cana-1246	101	490	,	,	PUNCT
cana-1246	101	491	2	2	NUM
cana-1246	101	492	,	,	PUNCT
cana-1246	101	493	5	5	NUM
cana-1246	101	494	,	,	PUNCT
cana-1246	101	495	1	1	NUM
cana-1246	101	496	,	,	PUNCT
cana-1246	101	497	2)(1	2)(1	NUM
cana-1246	101	498	,	,	PUNCT
cana-1246	101	499	2	2	NUM
cana-1246	101	500	,	,	PUNCT
cana-1246	101	501	4	4	NUM
cana-1246	101	502	,	,	PUNCT
cana-1246	101	503	4	4	NUM
cana-1246	101	504	,	,	PUNCT
cana-1246	101	505	3	3	NUM
cana-1246	101	506	)	)	PUNCT
cana-1246	101	507	=	=	SYM
cana-1246	101	508	(	(	PUNCT
cana-1246	101	509	2	2	NUM
cana-1246	101	510	,	,	PUNCT
cana-1246	101	511	2	2	NUM
cana-1246	101	512	,	,	PUNCT
cana-1246	101	513	5	5	NUM
cana-1246	101	514	,	,	PUNCT
cana-1246	101	515	1	1	NUM
cana-1246	101	516	,	,	PUNCT
cana-1246	101	517	4	4	NUM
cana-1246	101	518	)	)	PUNCT
cana-1246	101	519	and	and	CCONJ
cana-1246	101	520	sends	send	VERB
cana-1246	101	521	it	it	PRON
cana-1246	101	522	to	to	ADP
cana-1246	101	523	𝐴2	𝐴2	PROPN
cana-1246	101	524	𝐴2	𝐴2	NOUN
cana-1246	101	525	computes	compute	VERB
cana-1246	101	526	𝐾42	𝐾42	PROPN
cana-1246	101	527	=	=	PRON
cana-1246	101	528	𝑔2	𝑔2	VERB
cana-1246	101	529	−1𝐾31𝑔2	−1𝐾31𝑔2	ADV
cana-1246	101	530	=	=	PUNCT
cana-1246	101	531	(	(	PUNCT
cana-1246	101	532	4	4	NUM
cana-1246	101	533	,	,	PUNCT
cana-1246	101	534	6	6	NUM
cana-1246	101	535	,	,	PUNCT
cana-1246	101	536	3	3	NUM
cana-1246	101	537	,	,	PUNCT
cana-1246	101	538	1	1	NUM
cana-1246	101	539	,	,	PUNCT
cana-1246	101	540	2)(2	2)(2	NUM
cana-1246	101	541	,	,	PUNCT
cana-1246	101	542	2	2	NUM
cana-1246	101	543	,	,	PUNCT
cana-1246	101	544	5	5	NUM
cana-1246	101	545	,	,	PUNCT
cana-1246	101	546	1	1	NUM
cana-1246	101	547	,	,	PUNCT
cana-1246	101	548	3)(3	3)(3	NUM
cana-1246	101	549	,	,	PUNCT
cana-1246	101	550	1	1	NUM
cana-1246	101	551	,	,	PUNCT
cana-1246	101	552	4	4	NUM
cana-1246	101	553	,	,	PUNCT
cana-1246	101	554	6	6	NUM
cana-1246	101	555	,	,	PUNCT
cana-1246	101	556	2	2	NUM
cana-1246	101	557	)	)	PUNCT
cana-1246	101	558	=	=	NOUN
cana-1246	101	559	(	(	PUNCT
cana-1246	101	560	2	2	NUM
cana-1246	101	561	,	,	PUNCT
cana-1246	101	562	2	2	NUM
cana-1246	101	563	,	,	PUNCT
cana-1246	101	564	5	5	NUM
cana-1246	101	565	,	,	PUNCT
cana-1246	101	566	1	1	NUM
cana-1246	101	567	,	,	PUNCT
cana-1246	101	568	0	0	NUM
cana-1246	101	569	)	)	PUNCT
cana-1246	101	570	and	and	CCONJ
cana-1246	101	571	sends	send	VERB
cana-1246	101	572	it	it	PRON
cana-1246	101	573	to	to	ADP
cana-1246	101	574	𝐴3	𝐴3	PROPN
cana-1246	101	575	𝐴3	𝐴3	PROPN
cana-1246	101	576	computes	compute	VERB
cana-1246	101	577	𝐾43	𝐾43	PUNCT
cana-1246	101	578	=	=	PRON
cana-1246	101	579	𝑔3	𝑔3	VERB
cana-1246	101	580	−1𝐾32𝑔3	−1𝐾32𝑔3	PROPN
cana-1246	101	581	=	=	PUNCT
cana-1246	101	582	(	(	PUNCT
cana-1246	101	583	4	4	NUM
cana-1246	101	584	,	,	PUNCT
cana-1246	101	585	3	3	NUM
cana-1246	101	586	,	,	PUNCT
cana-1246	101	587	1	1	NUM
cana-1246	101	588	,	,	PUNCT
cana-1246	101	589	3	3	NUM
cana-1246	101	590	,	,	PUNCT
cana-1246	101	591	0)(2	0)(2	NUM
cana-1246	101	592	,	,	PUNCT
cana-1246	101	593	2	2	NUM
cana-1246	101	594	,	,	PUNCT
cana-1246	101	595	5	5	NUM
cana-1246	101	596	,	,	PUNCT
cana-1246	101	597	1	1	NUM
cana-1246	101	598	,	,	PUNCT
cana-1246	101	599	3)(3	3)(3	NUM
cana-1246	101	600	,	,	PUNCT
cana-1246	101	601	4	4	NUM
cana-1246	101	602	,	,	PUNCT
cana-1246	101	603	6	6	NUM
cana-1246	101	604	,	,	PUNCT
cana-1246	101	605	4	4	NUM
cana-1246	101	606	,	,	PUNCT
cana-1246	101	607	6	6	NUM
cana-1246	101	608	)	)	PUNCT
cana-1246	101	609	=	=	SYM
cana-1246	101	610	(	(	PUNCT
cana-1246	101	611	2	2	NUM
cana-1246	101	612	,	,	PUNCT
cana-1246	101	613	2	2	NUM
cana-1246	101	614	,	,	PUNCT
cana-1246	101	615	5	5	NUM
cana-1246	101	616	,	,	PUNCT
cana-1246	101	617	1	1	NUM
cana-1246	101	618	,	,	PUNCT
cana-1246	101	619	4	4	NUM
cana-1246	101	620	)	)	PUNCT
cana-1246	101	621	and	and	CCONJ
cana-1246	101	622	sends	send	VERB
cana-1246	101	623	it	it	PRON
cana-1246	101	624	to	to	ADP
cana-1246	101	625	𝐴4	𝐴4	PROPN
cana-1246	101	626	𝐴4	𝐴4	PROPN
cana-1246	101	627	computes	compute	VERB
cana-1246	101	628	𝐾44	𝐾44	NOUN
cana-1246	101	629	=	=	PUNCT
cana-1246	101	630	𝑔4	𝑔4	NOUN
cana-1246	101	631	−1𝐾33𝑔4	−1𝐾33𝑔4	NUM
cana-1246	101	632	=	=	SYM
cana-1246	101	633	(	(	PUNCT
cana-1246	101	634	6	6	NUM
cana-1246	101	635	,	,	PUNCT
cana-1246	101	636	,	,	PUNCT
cana-1246	101	637	0	0	NUM
cana-1246	101	638	,	,	PUNCT
cana-1246	101	639	2	2	NUM
cana-1246	101	640	,	,	PUNCT
cana-1246	101	641	4	4	NUM
cana-1246	101	642	,	,	PUNCT
cana-1246	101	643	4)(2	4)(2	NUM
cana-1246	101	644	,	,	PUNCT
cana-1246	101	645	2	2	NUM
cana-1246	101	646	,	,	PUNCT
cana-1246	101	647	5	5	NUM
cana-1246	101	648	,	,	PUNCT
cana-1246	101	649	1	1	NUM
cana-1246	101	650	,	,	PUNCT
cana-1246	101	651	3)(1	3)(1	NUM
cana-1246	101	652	,	,	PUNCT
cana-1246	101	653	0	0	NUM
cana-1246	101	654	,	,	PUNCT
cana-1246	101	655	5	5	NUM
cana-1246	101	656	,	,	PUNCT
cana-1246	101	657	3	3	NUM
cana-1246	101	658	,	,	PUNCT
cana-1246	101	659	1	1	NUM
cana-1246	101	660	)	)	PUNCT
cana-1246	101	661	=	=	NOUN
cana-1246	101	662	(	(	PUNCT
cana-1246	101	663	2	2	NUM
cana-1246	101	664	,	,	PUNCT
cana-1246	101	665	2	2	NUM
cana-1246	101	666	,	,	PUNCT
cana-1246	101	667	5	5	NUM
cana-1246	101	668	,	,	PUNCT
cana-1246	101	669	1	1	NUM
cana-1246	101	670	,	,	PUNCT
cana-1246	101	671	0	0	NUM
cana-1246	101	672	)	)	PUNCT
cana-1246	101	673	and	and	CCONJ
cana-1246	101	674	sends	send	VERB
cana-1246	101	675	it	it	PRON
cana-1246	101	676	to	to	ADP
cana-1246	101	677	𝐴5	𝐴5	PROPN
cana-1246	101	678	𝐴5	𝐴5	PROPN
cana-1246	101	679	computes	compute	VERB
cana-1246	101	680	𝐾45	𝐾45	PROPN
cana-1246	101	681	=	=	SYM
cana-1246	101	682	𝑔5	𝑔5	PROPN
cana-1246	101	683	−1𝐾34𝑔5	−1𝐾34𝑔5	PROPN
cana-1246	101	684	=	=	PUNCT
cana-1246	101	685	(	(	PUNCT
cana-1246	101	686	1	1	NUM
cana-1246	101	687	,	,	PUNCT
cana-1246	101	688	5	5	NUM
cana-1246	101	689	,	,	PUNCT
cana-1246	101	690	6	6	NUM
cana-1246	101	691	,	,	PUNCT
cana-1246	101	692	2	2	NUM
cana-1246	101	693	,	,	PUNCT
cana-1246	101	694	1)(2	1)(2	NUM
cana-1246	101	695	,	,	PUNCT
cana-1246	101	696	2	2	NUM
cana-1246	101	697	,	,	PUNCT
cana-1246	101	698	5	5	NUM
cana-1246	101	699	,	,	PUNCT
cana-1246	101	700	1,5)(6	1,5)(6	NUM
cana-1246	101	701	,	,	PUNCT
cana-1246	101	702	2	2	NUM
cana-1246	101	703	,	,	PUNCT
cana-1246	101	704	1	1	NUM
cana-1246	101	705	,	,	PUNCT
cana-1246	101	706	5	5	NUM
cana-1246	101	707	,	,	PUNCT
cana-1246	101	708	1	1	X
cana-1246	101	709	)	)	PUNCT
cana-1246	101	710	communications	communication	NOUN
cana-1246	101	711	on	on	ADP
cana-1246	101	712	applied	apply	VERB
cana-1246	101	713	nonlinear	nonlinear	ADJ
cana-1246	101	714	analysis	analysis	NOUN
cana-1246	101	715	issn	issn	NOUN
cana-1246	101	716	:	:	PUNCT
cana-1246	101	717	1074	1074	NUM
cana-1246	101	718	-	-	PUNCT
cana-1246	101	719	133x	133x	NUM
cana-1246	101	720	vol	vol	NOUN
cana-1246	101	721	31	31	NUM
cana-1246	101	722	no	no	NOUN
cana-1246	101	723	.	.	PUNCT
cana-1246	102	1	6s	6s	NUM
cana-1246	102	2	(	(	PUNCT
cana-1246	102	3	2024	2024	NUM
cana-1246	102	4	)	)	PUNCT
cana-1246	102	5	599	599	NUM
cana-1246	102	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1246	102	7	=	=	PUNCT
cana-1246	102	8	(	(	PUNCT
cana-1246	102	9	2	2	NUM
cana-1246	102	10	,	,	PUNCT
cana-1246	102	11	2	2	NUM
cana-1246	102	12	,	,	PUNCT
cana-1246	102	13	5	5	NUM
cana-1246	102	14	,	,	PUNCT
cana-1246	102	15	1	1	NUM
cana-1246	102	16	,	,	PUNCT
cana-1246	102	17	6	6	NUM
cana-1246	102	18	)	)	PUNCT
cana-1246	103	1	and	and	CCONJ
cana-1246	103	2	sends	send	VERB
cana-1246	103	3	it	it	PRON
cana-1246	103	4	to	to	AUX
cana-1246	103	5	𝐴1	𝐴1	PROPN
cana-1246	103	6	computation	computation	NOUN
cana-1246	103	7	of	of	ADP
cana-1246	103	8	key	key	NOUN
cana-1246	103	9	:	:	PUNCT
cana-1246	103	10	on	on	ADP
cana-1246	103	11	knowing	know	VERB
cana-1246	103	12	𝑔1	𝑔1	PROPN
cana-1246	103	13	,	,	PUNCT
cana-1246	103	14	𝐴1	𝐴1	PROPN
cana-1246	103	15	computes	compute	VERB
cana-1246	103	16	𝐾𝐴1	𝐾𝐴1	PROPN
cana-1246	103	17	=	=	PROPN
cana-1246	103	18	𝑔1	𝑔1	PROPN
cana-1246	103	19	−1𝐾45	−1𝐾45	PROPN
cana-1246	103	20	𝑔1	𝑔1	PROPN
cana-1246	103	21	=	=	PUNCT
cana-1246	103	22	(	(	PUNCT
cana-1246	103	23	6	6	NUM
cana-1246	103	24	,	,	PUNCT
cana-1246	103	25	5	5	NUM
cana-1246	103	26	,	,	PUNCT
cana-1246	103	27	3	3	NUM
cana-1246	103	28	,	,	PUNCT
cana-1246	103	29	3	3	NUM
cana-1246	103	30	,	,	PUNCT
cana-1246	103	31	2)(2	2)(2	NUM
cana-1246	103	32	,	,	PUNCT
cana-1246	103	33	2	2	NUM
cana-1246	103	34	,	,	PUNCT
cana-1246	103	35	5	5	NUM
cana-1246	103	36	,	,	PUNCT
cana-1246	103	37	1	1	NUM
cana-1246	103	38	,	,	PUNCT
cana-1246	103	39	6)(1	6)(1	NUM
cana-1246	103	40	,	,	PUNCT
cana-1246	103	41	2	2	NUM
cana-1246	103	42	,	,	PUNCT
cana-1246	103	43	4	4	NUM
cana-1246	103	44	,	,	PUNCT
cana-1246	103	45	4	4	NUM
cana-1246	103	46	,	,	PUNCT
cana-1246	103	47	3	3	NUM
cana-1246	103	48	)	)	PUNCT
cana-1246	103	49	=	=	SYM
cana-1246	103	50	(	(	PUNCT
cana-1246	103	51	2	2	NUM
cana-1246	103	52	,	,	PUNCT
cana-1246	103	53	2	2	NUM
cana-1246	103	54	,	,	PUNCT
cana-1246	103	55	5	5	NUM
cana-1246	103	56	,	,	PUNCT
cana-1246	103	57	1	1	NUM
cana-1246	103	58	,	,	PUNCT
cana-1246	103	59	1	1	NUM
cana-1246	103	60	)	)	PUNCT
cana-1246	103	61	.	.	PUNCT
cana-1246	104	1	on	on	ADP
cana-1246	104	2	knowing	know	VERB
cana-1246	104	3	𝑔2	𝑔2	NOUN
cana-1246	104	4	,	,	PUNCT
cana-1246	104	5	𝐴2	𝐴2	PROPN
cana-1246	104	6	computes	compute	VERB
cana-1246	104	7	𝐾𝐴2	𝐾𝐴2	PROPN
cana-1246	104	8	=	=	PRON
cana-1246	104	9	𝑔2	𝑔2	VERB
cana-1246	104	10	−1𝐾41	−1𝐾41	NOUN
cana-1246	104	11	𝑔2	𝑔2	NOUN
cana-1246	104	12	=	=	PUNCT
cana-1246	104	13	(	(	PUNCT
cana-1246	104	14	4	4	NUM
cana-1246	104	15	,	,	PUNCT
cana-1246	104	16	6	6	NUM
cana-1246	104	17	,	,	PUNCT
cana-1246	104	18	3	3	NUM
cana-1246	104	19	,	,	PUNCT
cana-1246	104	20	1	1	NUM
cana-1246	104	21	,	,	PUNCT
cana-1246	104	22	2)(2	2)(2	NUM
cana-1246	104	23	,	,	PUNCT
cana-1246	104	24	2	2	NUM
cana-1246	104	25	,	,	PUNCT
cana-1246	104	26	5	5	NUM
cana-1246	104	27	,	,	PUNCT
cana-1246	104	28	1	1	NUM
cana-1246	104	29	,	,	PUNCT
cana-1246	104	30	4)(3	4)(3	NUM
cana-1246	104	31	,	,	PUNCT
cana-1246	104	32	1	1	NUM
cana-1246	104	33	,	,	PUNCT
cana-1246	104	34	4	4	NUM
cana-1246	104	35	,	,	PUNCT
cana-1246	104	36	6	6	NUM
cana-1246	104	37	,	,	PUNCT
cana-1246	104	38	2	2	NUM
cana-1246	104	39	)	)	PUNCT
cana-1246	104	40	=	=	NOUN
cana-1246	104	41	(	(	PUNCT
cana-1246	104	42	2	2	NUM
cana-1246	104	43	,	,	PUNCT
cana-1246	104	44	2	2	NUM
cana-1246	104	45	,	,	PUNCT
cana-1246	104	46	5	5	NUM
cana-1246	104	47	,	,	PUNCT
cana-1246	104	48	1	1	NUM
cana-1246	104	49	,	,	PUNCT
cana-1246	104	50	1	1	NUM
cana-1246	104	51	)	)	PUNCT
cana-1246	104	52	.	.	PUNCT
cana-1246	105	1	on	on	ADP
cana-1246	105	2	knowing	know	VERB
cana-1246	105	3	𝑔3	𝑔3	PROPN
cana-1246	105	4	,	,	PUNCT
cana-1246	105	5	𝐴3	𝐴3	PROPN
cana-1246	105	6	computes	compute	VERB
cana-1246	105	7	𝐾𝐴3	𝐾𝐴3	PROPN
cana-1246	105	8	=	=	PROPN
cana-1246	105	9	𝑔3	𝑔3	VERB
cana-1246	105	10	−1𝐾42	−1𝐾42	ADJ
cana-1246	105	11	𝑔3	𝑔3	ADJ
cana-1246	105	12	=	=	SYM
cana-1246	105	13	(	(	PUNCT
cana-1246	105	14	4	4	NUM
cana-1246	105	15	,	,	PUNCT
cana-1246	105	16	3	3	NUM
cana-1246	105	17	,	,	PUNCT
cana-1246	105	18	1	1	NUM
cana-1246	105	19	,	,	PUNCT
cana-1246	105	20	3	3	NUM
cana-1246	105	21	,	,	PUNCT
cana-1246	105	22	0)(2	0)(2	NUM
cana-1246	105	23	,	,	PUNCT
cana-1246	105	24	2	2	NUM
cana-1246	105	25	,	,	PUNCT
cana-1246	105	26	5	5	NUM
cana-1246	105	27	,	,	PUNCT
cana-1246	105	28	1	1	NUM
cana-1246	105	29	,	,	PUNCT
cana-1246	105	30	0)(3	0)(3	NOUN
cana-1246	105	31	,	,	PUNCT
cana-1246	105	32	4	4	NUM
cana-1246	105	33	,	,	PUNCT
cana-1246	105	34	6	6	NUM
cana-1246	105	35	,	,	PUNCT
cana-1246	105	36	4	4	NUM
cana-1246	105	37	,	,	PUNCT
cana-1246	105	38	6	6	NUM
cana-1246	105	39	)	)	PUNCT
cana-1246	105	40	=	=	SYM
cana-1246	105	41	(	(	PUNCT
cana-1246	105	42	2	2	NUM
cana-1246	105	43	,	,	PUNCT
cana-1246	105	44	2	2	NUM
cana-1246	105	45	,	,	PUNCT
cana-1246	105	46	5	5	NUM
cana-1246	105	47	,	,	PUNCT
cana-1246	105	48	1	1	NUM
cana-1246	105	49	,	,	PUNCT
cana-1246	105	50	1	1	NUM
cana-1246	105	51	)	)	PUNCT
cana-1246	105	52	on	on	ADP
cana-1246	105	53	knowing	know	VERB
cana-1246	105	54	𝑔4	𝑔4	NOUN
cana-1246	105	55	,	,	PUNCT
cana-1246	105	56	𝐴4	𝐴4	PROPN
cana-1246	105	57	computes	compute	VERB
cana-1246	105	58	𝐾𝐴4	𝐾𝐴4	PROPN
cana-1246	105	59	=	=	PUNCT
cana-1246	105	60	𝑔4	𝑔4	NOUN
cana-1246	105	61	−1𝐾43	−1𝐾43	VERB
cana-1246	105	62	𝑔4	𝑔4	NOUN
cana-1246	105	63	=	=	SYM
cana-1246	105	64	(	(	PUNCT
cana-1246	105	65	6	6	NUM
cana-1246	105	66	,	,	PUNCT
cana-1246	105	67	,	,	PUNCT
cana-1246	105	68	0	0	NUM
cana-1246	105	69	,	,	PUNCT
cana-1246	105	70	2	2	NUM
cana-1246	105	71	,	,	PUNCT
cana-1246	105	72	4	4	NUM
cana-1246	105	73	,	,	PUNCT
cana-1246	105	74	4)(2	4)(2	NUM
cana-1246	105	75	,	,	PUNCT
cana-1246	105	76	2	2	NUM
cana-1246	105	77	,	,	PUNCT
cana-1246	105	78	5	5	NUM
cana-1246	105	79	,	,	PUNCT
cana-1246	105	80	1	1	NUM
cana-1246	105	81	,	,	PUNCT
cana-1246	105	82	4)(1	4)(1	NUM
cana-1246	105	83	,	,	PUNCT
cana-1246	105	84	0	0	NUM
cana-1246	105	85	,	,	PUNCT
cana-1246	105	86	5	5	NUM
cana-1246	105	87	,	,	PUNCT
cana-1246	105	88	3	3	NUM
cana-1246	105	89	,	,	PUNCT
cana-1246	105	90	1	1	NUM
cana-1246	105	91	)	)	PUNCT
cana-1246	105	92	=	=	NOUN
cana-1246	105	93	(	(	PUNCT
cana-1246	105	94	2	2	NUM
cana-1246	105	95	,	,	PUNCT
cana-1246	105	96	2	2	NUM
cana-1246	105	97	,	,	PUNCT
cana-1246	105	98	5	5	NUM
cana-1246	105	99	,	,	PUNCT
cana-1246	105	100	1	1	NUM
cana-1246	105	101	,	,	PUNCT
cana-1246	105	102	1	1	NUM
cana-1246	105	103	)	)	PUNCT
cana-1246	105	104	on	on	ADP
cana-1246	105	105	knowing	know	VERB
cana-1246	105	106	𝑔5	𝑔5	PROPN
cana-1246	105	107	,	,	PUNCT
cana-1246	105	108	𝐴5	𝐴5	PROPN
cana-1246	105	109	computes	compute	VERB
cana-1246	105	110	𝐾𝐴5	𝐾𝐴5	PROPN
cana-1246	105	111	=	=	SYM
cana-1246	105	112	𝑔5	𝑔5	PROPN
cana-1246	105	113	−1𝐾44	−1𝐾44	VERB
cana-1246	105	114	𝑔3	𝑔3	PROPN
cana-1246	105	115	=	=	SYM
cana-1246	105	116	(	(	PUNCT
cana-1246	105	117	1	1	NUM
cana-1246	105	118	,	,	PUNCT
cana-1246	105	119	5	5	NUM
cana-1246	105	120	,	,	PUNCT
cana-1246	105	121	6	6	NUM
cana-1246	105	122	,	,	PUNCT
cana-1246	105	123	2	2	NUM
cana-1246	105	124	,	,	PUNCT
cana-1246	105	125	1)(2	1)(2	NUM
cana-1246	105	126	,	,	PUNCT
cana-1246	105	127	2	2	NUM
cana-1246	105	128	,	,	PUNCT
cana-1246	105	129	5	5	NUM
cana-1246	105	130	,	,	PUNCT
cana-1246	105	131	1,0)(6	1,0)(6	NUM
cana-1246	105	132	,	,	PUNCT
cana-1246	105	133	2	2	NUM
cana-1246	105	134	,	,	PUNCT
cana-1246	105	135	1	1	NUM
cana-1246	105	136	,	,	PUNCT
cana-1246	105	137	5	5	NUM
cana-1246	105	138	,	,	PUNCT
cana-1246	105	139	1	1	NUM
cana-1246	105	140	)	)	PUNCT
cana-1246	105	141	=	=	NOUN
cana-1246	105	142	(	(	PUNCT
cana-1246	105	143	2	2	NUM
cana-1246	105	144	,	,	PUNCT
cana-1246	105	145	2	2	NUM
cana-1246	105	146	,	,	PUNCT
cana-1246	105	147	5	5	NUM
cana-1246	105	148	,	,	PUNCT
cana-1246	105	149	1	1	NUM
cana-1246	105	150	,	,	PUNCT
cana-1246	105	151	1	1	NUM
cana-1246	105	152	)	)	PUNCT
cana-1246	105	153	𝐾𝐴1	𝐾𝐴1	PROPN
cana-1246	105	154	=	=	SYM
cana-1246	105	155	𝐾𝐴2	𝐾𝐴2	PROPN
cana-1246	105	156	=	=	PUNCT
cana-1246	105	157	𝐾𝐴3	𝐾𝐴3	PROPN
cana-1246	105	158	=	=	SYM
cana-1246	105	159	𝐾𝐴4	𝐾𝐴4	PROPN
cana-1246	105	160	=	=	SYM
cana-1246	105	161	𝐾𝐴5	𝐾𝐴5	PROPN
cana-1246	105	162	=	=	PUNCT
cana-1246	105	163	(	(	PUNCT
cana-1246	105	164	2	2	NUM
cana-1246	105	165	,	,	PUNCT
cana-1246	105	166	2	2	NUM
cana-1246	105	167	,	,	PUNCT
cana-1246	105	168	5	5	NUM
cana-1246	105	169	,	,	PUNCT
cana-1246	105	170	1	1	NUM
cana-1246	105	171	,	,	PUNCT
cana-1246	105	172	1	1	NUM
cana-1246	105	173	)	)	PUNCT
cana-1246	105	174	is	be	AUX
cana-1246	105	175	their	their	PRON
cana-1246	105	176	common	common	ADJ
cana-1246	105	177	shared	shared	ADJ
cana-1246	105	178	key	key	NOUN
cana-1246	105	179	.	.	PUNCT
cana-1246	106	1	this	this	DET
cana-1246	106	2	key	key	NOUN
cana-1246	106	3	has	have	AUX
cana-1246	106	4	been	be	AUX
cana-1246	106	5	utilized	utilize	VERB
cana-1246	106	6	further	far	ADV
cana-1246	106	7	for	for	ADP
cana-1246	106	8	encryption	encryption	NOUN
cana-1246	106	9	or	or	CCONJ
cana-1246	106	10	decryption	decryption	NOUN
cana-1246	106	11	.	.	PUNCT
cana-1246	107	1	public	public	ADJ
cana-1246	107	2	key	key	NOUN
cana-1246	107	3	gi	gi	INTJ
cana-1246	107	4	k	k	PROPN
cana-1246	107	5	ij	ij	INTJ
cana-1246	107	6	of	of	ADP
cana-1246	107	7	round	round	NOUN
cana-1246	108	1	1	1	NUM
cana-1246	108	2	k	k	NOUN
cana-1246	108	3	ij	ij	NOUN
cana-1246	108	4	of	of	ADP
cana-1246	108	5	round	round	NOUN
cana-1246	108	6	2	2	NUM
cana-1246	108	7	k	k	NOUN
cana-1246	108	8	ij	ij	NOUN
cana-1246	108	9	of	of	ADP
cana-1246	108	10	round	round	NOUN
cana-1246	108	11	3	3	NUM
cana-1246	108	12	k	k	NOUN
cana-1246	108	13	ij	ij	NOUN
cana-1246	108	14	of	of	ADP
cana-1246	108	15	round	round	ADJ
cana-1246	108	16	4	4	NUM
cana-1246	108	17	computation	computation	NOUN
cana-1246	108	18	key	key	NOUN
cana-1246	108	19	𝑥	𝑥	X
cana-1246	108	20	=	=	SYM
cana-1246	108	21	(	(	PUNCT
cana-1246	108	22	2	2	NUM
cana-1246	108	23	,	,	PUNCT
cana-1246	108	24	2	2	NUM
cana-1246	108	25	,	,	PUNCT
cana-1246	108	26	5	5	NUM
cana-1246	108	27	,	,	PUNCT
cana-1246	108	28	1	1	NUM
cana-1246	108	29	,	,	PUNCT
cana-1246	108	30	3	3	NUM
cana-1246	108	31	)	)	PUNCT
cana-1246	108	32	(	(	PUNCT
cana-1246	108	33	1	1	NUM
cana-1246	108	34	,	,	PUNCT
cana-1246	108	35	2	2	NUM
cana-1246	108	36	,	,	PUNCT
cana-1246	108	37	4	4	NUM
cana-1246	108	38	,	,	PUNCT
cana-1246	108	39	4	4	NUM
cana-1246	108	40	,	,	PUNCT
cana-1246	108	41	3	3	NUM
cana-1246	108	42	)	)	PUNCT
cana-1246	108	43	(	(	PUNCT
cana-1246	108	44	2	2	NUM
cana-1246	108	45	,	,	PUNCT
cana-1246	108	46	2	2	NUM
cana-1246	108	47	,	,	PUNCT
cana-1246	108	48	5	5	NUM
cana-1246	108	49	,	,	PUNCT
cana-1246	108	50	1	1	NUM
cana-1246	108	51	,	,	PUNCT
cana-1246	108	52	5	5	NUM
cana-1246	108	53	)	)	PUNCT
cana-1246	108	54	(	(	PUNCT
cana-1246	108	55	2	2	NUM
cana-1246	108	56	,	,	PUNCT
cana-1246	108	57	2	2	NUM
cana-1246	108	58	,	,	PUNCT
cana-1246	108	59	5	5	NUM
cana-1246	108	60	,	,	PUNCT
cana-1246	108	61	1	1	NUM
cana-1246	108	62	,	,	PUNCT
cana-1246	108	63	6	6	NUM
cana-1246	108	64	)	)	PUNCT
cana-1246	108	65	(	(	PUNCT
cana-1246	108	66	2	2	NUM
cana-1246	108	67	,	,	PUNCT
cana-1246	108	68	2	2	NUM
cana-1246	108	69	,	,	PUNCT
cana-1246	108	70	5	5	NUM
cana-1246	108	71	,	,	PUNCT
cana-1246	108	72	1	1	NUM
cana-1246	108	73	,	,	PUNCT
cana-1246	108	74	3	3	NUM
cana-1246	108	75	)	)	PUNCT
cana-1246	108	76	(	(	PUNCT
cana-1246	108	77	2	2	NUM
cana-1246	108	78	,	,	PUNCT
cana-1246	108	79	2	2	NUM
cana-1246	108	80	,	,	PUNCT
cana-1246	108	81	5	5	NUM
cana-1246	108	82	,	,	PUNCT
cana-1246	108	83	1	1	NUM
cana-1246	108	84	,	,	PUNCT
cana-1246	108	85	4	4	NUM
cana-1246	108	86	)	)	PUNCT
cana-1246	108	87	(	(	PUNCT
cana-1246	108	88	2	2	NUM
cana-1246	108	89	,	,	PUNCT
cana-1246	108	90	2	2	NUM
cana-1246	108	91	,	,	PUNCT
cana-1246	108	92	5	5	NUM
cana-1246	108	93	,	,	PUNCT
cana-1246	108	94	1	1	NUM
cana-1246	108	95	,	,	PUNCT
cana-1246	108	96	1	1	NUM
cana-1246	108	97	)	)	PUNCT
cana-1246	108	98	(	(	PUNCT
cana-1246	108	99	3	3	NUM
cana-1246	108	100	,	,	PUNCT
cana-1246	108	101	1	1	NUM
cana-1246	108	102	,	,	PUNCT
cana-1246	108	103	4	4	NUM
cana-1246	108	104	,	,	PUNCT
cana-1246	108	105	6	6	NUM
cana-1246	108	106	,	,	PUNCT
cana-1246	108	107	2	2	NUM
cana-1246	108	108	)	)	PUNCT
cana-1246	108	109	(	(	PUNCT
cana-1246	108	110	2	2	NUM
cana-1246	108	111	,	,	PUNCT
cana-1246	108	112	2	2	NUM
cana-1246	108	113	,	,	PUNCT
cana-1246	108	114	5	5	NUM
cana-1246	108	115	,	,	PUNCT
cana-1246	108	116	1	1	NUM
cana-1246	108	117	,	,	PUNCT
cana-1246	108	118	0	0	NUM
cana-1246	108	119	)	)	PUNCT
cana-1246	108	120	(	(	PUNCT
cana-1246	108	121	2	2	NUM
cana-1246	108	122	,	,	PUNCT
cana-1246	108	123	2	2	NUM
cana-1246	108	124	,	,	PUNCT
cana-1246	108	125	5	5	NUM
cana-1246	108	126	,	,	PUNCT
cana-1246	108	127	1	1	NUM
cana-1246	108	128	,	,	PUNCT
cana-1246	108	129	2	2	NUM
cana-1246	108	130	)	)	PUNCT
cana-1246	108	131	(	(	PUNCT
cana-1246	108	132	2	2	NUM
cana-1246	108	133	,	,	PUNCT
cana-1246	108	134	2	2	NUM
cana-1246	108	135	,	,	PUNCT
cana-1246	108	136	5	5	NUM
cana-1246	108	137	,	,	PUNCT
cana-1246	108	138	1	1	NUM
cana-1246	108	139	,	,	PUNCT
cana-1246	108	140	3	3	NUM
cana-1246	108	141	)	)	PUNCT
cana-1246	108	142	(	(	PUNCT
cana-1246	108	143	2	2	NUM
cana-1246	108	144	,	,	PUNCT
cana-1246	108	145	2	2	NUM
cana-1246	108	146	,	,	PUNCT
cana-1246	108	147	5	5	NUM
cana-1246	108	148	,	,	PUNCT
cana-1246	108	149	1	1	NUM
cana-1246	108	150	,	,	PUNCT
cana-1246	108	151	0	0	NUM
cana-1246	108	152	)	)	PUNCT
cana-1246	108	153	(	(	PUNCT
cana-1246	108	154	2	2	NUM
cana-1246	108	155	,	,	PUNCT
cana-1246	108	156	2	2	NUM
cana-1246	108	157	,	,	PUNCT
cana-1246	108	158	5	5	NUM
cana-1246	108	159	,	,	PUNCT
cana-1246	108	160	1	1	NUM
cana-1246	108	161	,	,	PUNCT
cana-1246	108	162	1	1	NUM
cana-1246	108	163	)	)	PUNCT
cana-1246	108	164	(	(	PUNCT
cana-1246	108	165	3	3	NUM
cana-1246	108	166	,	,	PUNCT
cana-1246	108	167	4	4	NUM
cana-1246	108	168	,	,	PUNCT
cana-1246	108	169	6	6	NUM
cana-1246	108	170	,	,	PUNCT
cana-1246	108	171	4	4	NUM
cana-1246	108	172	,	,	PUNCT
cana-1246	108	173	6	6	NUM
cana-1246	108	174	)	)	PUNCT
cana-1246	108	175	(	(	PUNCT
cana-1246	108	176	2	2	NUM
cana-1246	108	177	,	,	PUNCT
cana-1246	108	178	2	2	NUM
cana-1246	108	179	,	,	PUNCT
cana-1246	108	180	5	5	NUM
cana-1246	108	181	,	,	PUNCT
cana-1246	108	182	1	1	NUM
cana-1246	108	183	,	,	PUNCT
cana-1246	108	184	4	4	NUM
cana-1246	108	185	)	)	PUNCT
cana-1246	108	186	(	(	PUNCT
cana-1246	108	187	2	2	NUM
cana-1246	108	188	,	,	PUNCT
cana-1246	108	189	2	2	NUM
cana-1246	108	190	,	,	PUNCT
cana-1246	108	191	5	5	NUM
cana-1246	108	192	,	,	PUNCT
cana-1246	108	193	1	1	NUM
cana-1246	108	194	,	,	PUNCT
cana-1246	108	195	1	1	NUM
cana-1246	108	196	)	)	PUNCT
cana-1246	108	197	(	(	PUNCT
cana-1246	108	198	2	2	NUM
cana-1246	108	199	,	,	PUNCT
cana-1246	108	200	2	2	NUM
cana-1246	108	201	,	,	PUNCT
cana-1246	108	202	5	5	NUM
cana-1246	108	203	,	,	PUNCT
cana-1246	108	204	1	1	NUM
cana-1246	108	205	,	,	PUNCT
cana-1246	108	206	3	3	NUM
cana-1246	108	207	)	)	PUNCT
cana-1246	108	208	(	(	PUNCT
cana-1246	108	209	2	2	NUM
cana-1246	108	210	,	,	PUNCT
cana-1246	108	211	2	2	NUM
cana-1246	108	212	,	,	PUNCT
cana-1246	108	213	5	5	NUM
cana-1246	108	214	,	,	PUNCT
cana-1246	108	215	1	1	NUM
cana-1246	108	216	,	,	PUNCT
cana-1246	108	217	4	4	NUM
cana-1246	108	218	)	)	PUNCT
cana-1246	108	219	(	(	PUNCT
cana-1246	108	220	2	2	NUM
cana-1246	108	221	,	,	PUNCT
cana-1246	108	222	2	2	NUM
cana-1246	108	223	,	,	PUNCT
cana-1246	108	224	5	5	NUM
cana-1246	108	225	,	,	PUNCT
cana-1246	108	226	1	1	NUM
cana-1246	108	227	,	,	PUNCT
cana-1246	108	228	1	1	NUM
cana-1246	108	229	)	)	PUNCT
cana-1246	108	230	(	(	PUNCT
cana-1246	108	231	1	1	NUM
cana-1246	108	232	,	,	PUNCT
cana-1246	108	233	0	0	NUM
cana-1246	108	234	,	,	PUNCT
cana-1246	108	235	5	5	NUM
cana-1246	108	236	,	,	PUNCT
cana-1246	108	237	3	3	NUM
cana-1246	108	238	,	,	PUNCT
cana-1246	108	239	1	1	NUM
cana-1246	108	240	)	)	PUNCT
cana-1246	108	241	(	(	PUNCT
cana-1246	108	242	2	2	NUM
cana-1246	108	243	,	,	PUNCT
cana-1246	108	244	2	2	NUM
cana-1246	108	245	,	,	PUNCT
cana-1246	108	246	5	5	NUM
cana-1246	108	247	,	,	PUNCT
cana-1246	108	248	1	1	NUM
cana-1246	108	249	,	,	PUNCT
cana-1246	108	250	0	0	NUM
cana-1246	108	251	)	)	PUNCT
cana-1246	108	252	(	(	PUNCT
cana-1246	108	253	2	2	NUM
cana-1246	108	254	,	,	PUNCT
cana-1246	108	255	2	2	NUM
cana-1246	108	256	,	,	PUNCT
cana-1246	108	257	5	5	NUM
cana-1246	108	258	,	,	PUNCT
cana-1246	108	259	1	1	NUM
cana-1246	108	260	,	,	PUNCT
cana-1246	108	261	1	1	NUM
cana-1246	108	262	)	)	PUNCT
cana-1246	108	263	(	(	PUNCT
cana-1246	108	264	2	2	NUM
cana-1246	108	265	,	,	PUNCT
cana-1246	108	266	2	2	NUM
cana-1246	108	267	,	,	PUNCT
cana-1246	108	268	5	5	NUM
cana-1246	108	269	,	,	PUNCT
cana-1246	108	270	1	1	NUM
cana-1246	108	271	,	,	PUNCT
cana-1246	108	272	5	5	NUM
cana-1246	108	273	)	)	PUNCT
cana-1246	108	274	(	(	PUNCT
cana-1246	108	275	2	2	NUM
cana-1246	108	276	,	,	PUNCT
cana-1246	108	277	2	2	NUM
cana-1246	108	278	,	,	PUNCT
cana-1246	108	279	5	5	NUM
cana-1246	108	280	,	,	PUNCT
cana-1246	108	281	1	1	NUM
cana-1246	108	282	,	,	PUNCT
cana-1246	108	283	0	0	NUM
cana-1246	108	284	)	)	PUNCT
cana-1246	108	285	(	(	PUNCT
cana-1246	108	286	2	2	NUM
cana-1246	108	287	,	,	PUNCT
cana-1246	108	288	2	2	NUM
cana-1246	108	289	,	,	PUNCT
cana-1246	108	290	5	5	NUM
cana-1246	108	291	,	,	PUNCT
cana-1246	108	292	1	1	NUM
cana-1246	108	293	,	,	PUNCT
cana-1246	108	294	1	1	NUM
cana-1246	108	295	)	)	PUNCT
cana-1246	108	296	(	(	PUNCT
cana-1246	108	297	6	6	NUM
cana-1246	108	298	,	,	PUNCT
cana-1246	108	299	2	2	NUM
cana-1246	108	300	,	,	PUNCT
cana-1246	108	301	1	1	NUM
cana-1246	108	302	,	,	PUNCT
cana-1246	108	303	5	5	NUM
cana-1246	108	304	,	,	PUNCT
cana-1246	108	305	1	1	NUM
cana-1246	108	306	)	)	PUNCT
cana-1246	108	307	(	(	PUNCT
cana-1246	108	308	2	2	NUM
cana-1246	108	309	,	,	PUNCT
cana-1246	108	310	2	2	NUM
cana-1246	108	311	,	,	PUNCT
cana-1246	108	312	5	5	NUM
cana-1246	108	313	,	,	PUNCT
cana-1246	108	314	1	1	NUM
cana-1246	108	315	,	,	PUNCT
cana-1246	108	316	4	4	NUM
cana-1246	108	317	)	)	PUNCT
cana-1246	108	318	(	(	PUNCT
cana-1246	108	319	2	2	NUM
cana-1246	108	320	,	,	PUNCT
cana-1246	108	321	2	2	NUM
cana-1246	108	322	,	,	PUNCT
cana-1246	108	323	5	5	NUM
cana-1246	108	324	,	,	PUNCT
cana-1246	108	325	1	1	NUM
cana-1246	108	326	,	,	PUNCT
cana-1246	108	327	1	1	NUM
cana-1246	108	328	)	)	PUNCT
cana-1246	108	329	(	(	PUNCT
cana-1246	108	330	2	2	NUM
cana-1246	108	331	,	,	PUNCT
cana-1246	108	332	2	2	NUM
cana-1246	108	333	,	,	PUNCT
cana-1246	108	334	5	5	NUM
cana-1246	108	335	,	,	PUNCT
cana-1246	108	336	1	1	NUM
cana-1246	108	337	,	,	PUNCT
cana-1246	108	338	2	2	NUM
cana-1246	108	339	)	)	PUNCT
cana-1246	108	340	(	(	PUNCT
cana-1246	108	341	2	2	NUM
cana-1246	108	342	,	,	PUNCT
cana-1246	108	343	2	2	NUM
cana-1246	108	344	,	,	PUNCT
cana-1246	108	345	5	5	NUM
cana-1246	108	346	,	,	PUNCT
cana-1246	108	347	1	1	NUM
cana-1246	108	348	,	,	PUNCT
cana-1246	108	349	6	6	NUM
cana-1246	108	350	)	)	PUNCT
cana-1246	108	351	(	(	PUNCT
cana-1246	108	352	2	2	NUM
cana-1246	108	353	,	,	PUNCT
cana-1246	108	354	2	2	NUM
cana-1246	108	355	,	,	PUNCT
cana-1246	108	356	5	5	NUM
cana-1246	108	357	,	,	PUNCT
cana-1246	108	358	1	1	NUM
cana-1246	108	359	,	,	PUNCT
cana-1246	108	360	1	1	NUM
cana-1246	108	361	)	)	PUNCT
cana-1246	108	362	5	5	NUM
cana-1246	108	363	.	.	X
cana-1246	109	1	perfect	perfect	VERB
cana-1246	109	2	forward	forward	ADJ
cana-1246	109	3	secrecy	secrecy	NOUN
cana-1246	109	4	in	in	ADP
cana-1246	109	5	the	the	DET
cana-1246	109	6	proposed	proposed	ADJ
cana-1246	109	7	kap	kap	NOUN
cana-1246	109	8	:	:	PUNCT
cana-1246	109	9	the	the	DET
cana-1246	109	10	long	long	ADJ
cana-1246	109	11	term	term	NOUN
cana-1246	109	12	key	key	NOUN
cana-1246	109	13	in	in	ADP
cana-1246	109	14	this	this	DET
cana-1246	109	15	protocol	protocol	NOUN
cana-1246	109	16	is	be	AUX
cana-1246	109	17	the	the	DET
cana-1246	109	18	common	common	ADJ
cana-1246	109	19	key	key	NOUN
cana-1246	109	20	arrived	arrive	VERB
cana-1246	109	21	by	by	ADP
cana-1246	109	22	the	the	DET
cana-1246	109	23	communicating	communicate	VERB
cana-1246	109	24	entities	entity	NOUN
cana-1246	109	25	.	.	PUNCT
cana-1246	110	1	the	the	DET
cana-1246	110	2	common	common	ADJ
cana-1246	110	3	key	key	NOUN
cana-1246	110	4	is	be	AUX
cana-1246	110	5	arrived	arrive	VERB
cana-1246	110	6	in	in	ADP
cana-1246	110	7	k-1	k-1	PROPN
cana-1246	110	8	rounds	round	VERB
cana-1246	110	9	for	for	ADP
cana-1246	110	10	k	k	PROPN
cana-1246	110	11	entities	entity	NOUN
cana-1246	110	12	.	.	PUNCT
cana-1246	111	1	at	at	ADP
cana-1246	111	2	each	each	DET
cana-1246	111	3	round	round	NOUN
cana-1246	111	4	the	the	DET
cana-1246	111	5	entities	entity	NOUN
cana-1246	111	6	use	use	VERB
cana-1246	111	7	their	their	PRON
cana-1246	111	8	private	private	ADJ
cana-1246	111	9	keys	key	NOUN
cana-1246	111	10	to	to	PART
cana-1246	111	11	find	find	VERB
cana-1246	111	12	the	the	DET
cana-1246	111	13	public	public	ADJ
cana-1246	111	14	key	key	NOUN
cana-1246	111	15	.	.	PUNCT
cana-1246	112	1	the	the	DET
cana-1246	112	2	public	public	ADJ
cana-1246	112	3	key	key	NOUN
cana-1246	112	4	thus	thus	ADV
cana-1246	112	5	obtained	obtain	VERB
cana-1246	112	6	is	be	AUX
cana-1246	112	7	communicated	communicate	VERB
cana-1246	112	8	to	to	ADP
cana-1246	112	9	the	the	DET
cana-1246	112	10	next	next	ADJ
cana-1246	112	11	entity	entity	NOUN
cana-1246	112	12	.	.	PUNCT
cana-1246	113	1	the	the	DET
cana-1246	113	2	same	same	ADJ
cana-1246	113	3	procedure	procedure	NOUN
cana-1246	113	4	is	be	AUX
cana-1246	113	5	taken	take	VERB
cana-1246	113	6	over	over	ADP
cana-1246	113	7	by	by	ADP
cana-1246	113	8	all	all	DET
cana-1246	113	9	the	the	DET
cana-1246	113	10	entities	entity	NOUN
cana-1246	113	11	.	.	PUNCT
cana-1246	114	1	at	at	ADP
cana-1246	114	2	each	each	DET
cana-1246	114	3	round	round	NOUN
cana-1246	114	4	the	the	DET
cana-1246	114	5	entities	entity	NOUN
cana-1246	114	6	use	use	VERB
cana-1246	114	7	csp	csp	PROPN
cana-1246	114	8	to	to	PART
cana-1246	114	9	arrive	arrive	VERB
cana-1246	114	10	their	their	PRON
cana-1246	114	11	public	public	ADJ
cana-1246	114	12	key	key	NOUN
cana-1246	114	13	.	.	PUNCT
cana-1246	115	1	the	the	DET
cana-1246	115	2	intractability	intractability	NOUN
cana-1246	115	3	of	of	ADP
cana-1246	115	4	csp	csp	PROPN
cana-1246	115	5	is	be	AUX
cana-1246	115	6	discussed	discuss	VERB
cana-1246	115	7	and	and	CCONJ
cana-1246	115	8	it	it	PRON
cana-1246	115	9	is	be	AUX
cana-1246	115	10	proven	prove	VERB
cana-1246	115	11	to	to	PART
cana-1246	115	12	be	be	AUX
cana-1246	115	13	secure	secure	ADJ
cana-1246	115	14	against	against	ADP
cana-1246	115	15	the	the	DET
cana-1246	115	16	attacks	attack	NOUN
cana-1246	115	17	.	.	PUNCT
cana-1246	116	1	thus	thus	ADV
cana-1246	116	2	even	even	ADV
cana-1246	116	3	if	if	SCONJ
cana-1246	116	4	the	the	DET
cana-1246	116	5	common	common	ADJ
cana-1246	116	6	key	key	NOUN
cana-1246	116	7	is	be	AUX
cana-1246	116	8	compromised	compromise	VERB
cana-1246	116	9	,	,	PUNCT
cana-1246	116	10	the	the	DET
cana-1246	116	11	session	session	NOUN
cana-1246	116	12	keys	key	VERB
cana-1246	116	13	at	at	ADP
cana-1246	116	14	each	each	DET
cana-1246	116	15	round	round	NOUN
cana-1246	116	16	can	can	AUX
cana-1246	116	17	not	not	PART
cana-1246	116	18	be	be	AUX
cana-1246	116	19	compromised	compromise	VERB
cana-1246	116	20	.	.	PUNCT
cana-1246	117	1	the	the	DET
cana-1246	117	2	proposed	propose	VERB
cana-1246	117	3	kap	kap	NOUN
cana-1246	117	4	has	have	VERB
cana-1246	117	5	the	the	DET
cana-1246	117	6	perfect	perfect	ADJ
cana-1246	117	7	forward	forward	ADJ
cana-1246	117	8	secrecy	secrecy	NOUN
cana-1246	117	9	.	.	PUNCT
cana-1246	118	1	in	in	ADP
cana-1246	118	2	the	the	DET
cana-1246	118	3	proposed	propose	VERB
cana-1246	118	4	kap	kap	NOUN
cana-1246	118	5	,	,	PUNCT
cana-1246	118	6	the	the	DET
cana-1246	118	7	common	common	ADJ
cana-1246	118	8	key	key	NOUN
cana-1246	118	9	is	be	AUX
cana-1246	118	10	arrived	arrive	VERB
cana-1246	118	11	at	at	ADP
cana-1246	118	12	the	the	DET
cana-1246	118	13	kth	kth	PROPN
cana-1246	118	14	round	round	NOUN
cana-1246	118	15	by	by	ADP
cana-1246	118	16	the	the	DET
cana-1246	118	17	k	k	NOUN
cana-1246	118	18	-	-	PUNCT
cana-1246	118	19	communicating	communicate	VERB
cana-1246	118	20	parties	party	NOUN
cana-1246	118	21	.	.	PUNCT
cana-1246	119	1	at	at	ADP
cana-1246	119	2	each	each	DET
cana-1246	119	3	round	round	NOUN
cana-1246	119	4	the	the	DET
cana-1246	119	5	communicating	communicate	VERB
cana-1246	119	6	parties	party	NOUN
cana-1246	119	7	use	use	VERB
cana-1246	119	8	their	their	PRON
cana-1246	119	9	private	private	ADJ
cana-1246	119	10	keys	key	NOUN
cana-1246	119	11	to	to	PART
cana-1246	119	12	compute	compute	VERB
cana-1246	119	13	a	a	DET
cana-1246	119	14	public	public	ADJ
cana-1246	119	15	key	key	NOUN
cana-1246	119	16	for	for	ADP
cana-1246	119	17	that	that	DET
cana-1246	119	18	round	round	NOUN
cana-1246	119	19	and	and	CCONJ
cana-1246	119	20	sends	send	VERB
cana-1246	119	21	to	to	ADP
cana-1246	119	22	the	the	DET
cana-1246	119	23	other	other	ADJ
cana-1246	119	24	party	party	NOUN
cana-1246	119	25	.	.	PUNCT
cana-1246	120	1	if	if	SCONJ
cana-1246	120	2	suppose	suppose	VERB
cana-1246	120	3	a	a	DET
cana-1246	120	4	passive	passive	ADJ
cana-1246	120	5	adversary	adversary	NOUN
cana-1246	120	6	managed	manage	VERB
cana-1246	120	7	to	to	PART
cana-1246	120	8	get	get	VERB
cana-1246	120	9	the	the	DET
cana-1246	120	10	public	public	ADJ
cana-1246	120	11	key	key	NOUN
cana-1246	120	12	of	of	ADP
cana-1246	120	13	one	one	NUM
cana-1246	120	14	entity	entity	NOUN
cana-1246	120	15	,	,	PUNCT
cana-1246	120	16	in	in	ADP
cana-1246	120	17	a	a	DET
cana-1246	120	18	particular	particular	ADJ
cana-1246	120	19	round	round	NOUN
cana-1246	120	20	,	,	PUNCT
cana-1246	120	21	he	he	PRON
cana-1246	120	22	can	can	AUX
cana-1246	120	23	not	not	PART
cana-1246	120	24	take	take	VERB
cana-1246	120	25	part	part	NOUN
cana-1246	120	26	in	in	ADP
cana-1246	120	27	the	the	DET
cana-1246	120	28	communications	communication	NOUN
cana-1246	120	29	between	between	ADP
cana-1246	120	30	the	the	DET
cana-1246	120	31	entities	entity	NOUN
cana-1246	120	32	.	.	PUNCT
cana-1246	121	1	as	as	SCONJ
cana-1246	121	2	at	at	ADP
cana-1246	121	3	each	each	DET
cana-1246	121	4	round	round	NOUN
cana-1246	121	5	the	the	DET
cana-1246	121	6	communicating	communicate	VERB
cana-1246	121	7	entities	entity	NOUN
cana-1246	121	8	use	use	VERB
cana-1246	121	9	their	their	PRON
cana-1246	121	10	private	private	ADJ
cana-1246	121	11	keys	key	NOUN
cana-1246	121	12	to	to	PART
cana-1246	121	13	take	take	VERB
cana-1246	121	14	part	part	NOUN
cana-1246	121	15	in	in	ADP
cana-1246	121	16	the	the	DET
cana-1246	121	17	process	process	NOUN
cana-1246	121	18	,	,	PUNCT
cana-1246	121	19	the	the	DET
cana-1246	121	20	adversary	adversary	NOUN
cana-1246	121	21	is	be	AUX
cana-1246	121	22	not	not	PART
cana-1246	121	23	a	a	DET
cana-1246	121	24	le	le	NOUN
cana-1246	121	25	to	to	PART
cana-1246	121	26	join	join	VERB
cana-1246	121	27	the	the	DET
cana-1246	121	28	process	process	NOUN
cana-1246	121	29	.	.	PUNCT
cana-1246	122	1	the	the	DET
cana-1246	122	2	public	public	ADJ
cana-1246	122	3	key	key	NOUN
cana-1246	122	4	is	be	AUX
cana-1246	122	5	activated	activate	VERB
cana-1246	122	6	by	by	ADP
cana-1246	122	7	means	mean	NOUN
cana-1246	122	8	of	of	ADP
cana-1246	122	9	csp	csp	PROPN
cana-1246	122	10	in	in	ADP
cana-1246	122	11	dhg	dhg	PROPN
cana-1246	122	12	,	,	PUNCT
cana-1246	122	13	which	which	PRON
cana-1246	122	14	is	be	AUX
cana-1246	122	15	hard	hard	ADJ
cana-1246	122	16	to	to	PART
cana-1246	122	17	attack	attack	VERB
cana-1246	122	18	.	.	PUNCT
cana-1246	123	1	thus	thus	ADV
cana-1246	123	2	even	even	ADV
cana-1246	123	3	if	if	SCONJ
cana-1246	123	4	the	the	DET
cana-1246	123	5	passive	passive	ADJ
cana-1246	123	6	adversary	adversary	NOUN
cana-1246	123	7	managed	manage	VERB
cana-1246	123	8	to	to	PART
cana-1246	123	9	get	get	VERB
cana-1246	123	10	the	the	DET
cana-1246	123	11	public	public	ADJ
cana-1246	123	12	key	key	NOUN
cana-1246	123	13	of	of	ADP
cana-1246	123	14	any	any	DET
cana-1246	123	15	particular	particular	ADJ
cana-1246	123	16	entity	entity	NOUN
cana-1246	123	17	at	at	ADP
cana-1246	123	18	any	any	DET
cana-1246	123	19	particular	particular	ADJ
cana-1246	123	20	round	round	NOUN
cana-1246	123	21	he	he	PRON
cana-1246	123	22	can	can	AUX
cana-1246	123	23	not	not	PART
cana-1246	123	24	take	take	VERB
cana-1246	123	25	part	part	NOUN
cana-1246	123	26	in	in	ADP
cana-1246	123	27	the	the	DET
cana-1246	123	28	future	future	ADJ
cana-1246	123	29	process	process	NOUN
cana-1246	123	30	.	.	PUNCT
cana-1246	124	1	thus	thus	ADV
cana-1246	124	2	this	this	DET
cana-1246	124	3	kap	kap	NOUN
cana-1246	124	4	is	be	AUX
cana-1246	124	5	secure	secure	ADJ
cana-1246	124	6	against	against	ADP
cana-1246	124	7	the	the	DET
cana-1246	124	8	known	know	VERB
cana-1246	124	9	key	key	ADJ
cana-1246	124	10	attack	attack	NOUN
cana-1246	124	11	.	.	PUNCT
cana-1246	125	1	communications	communication	NOUN
cana-1246	125	2	on	on	ADP
cana-1246	125	3	applied	apply	VERB
cana-1246	125	4	nonlinear	nonlinear	ADJ
cana-1246	125	5	analysis	analysis	NOUN
cana-1246	125	6	issn	issn	NOUN
cana-1246	125	7	:	:	PUNCT
cana-1246	125	8	1074	1074	NUM
cana-1246	125	9	-	-	PUNCT
cana-1246	125	10	133x	133x	NUM
cana-1246	125	11	vol	vol	NOUN
cana-1246	125	12	31	31	NUM
cana-1246	125	13	no	no	NOUN
cana-1246	125	14	.	.	PUNCT
cana-1246	126	1	6s	6s	NUM
cana-1246	126	2	(	(	PUNCT
cana-1246	126	3	2024	2024	NUM
cana-1246	126	4	)	)	PUNCT
cana-1246	126	5	600	600	NUM
cana-1246	126	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1246	126	7	unknown	unknown	ADJ
cana-1246	126	8	key	key	ADJ
cana-1246	126	9	share	share	NOUN
cana-1246	126	10	:	:	PUNCT
cana-1246	126	11	an	an	DET
cana-1246	126	12	unknown	unknown	ADJ
cana-1246	126	13	key	key	ADJ
cana-1246	126	14	-	-	PUNCT
cana-1246	126	15	share	share	NOUN
cana-1246	126	16	attack	attack	NOUN
cana-1246	126	17	on	on	ADP
cana-1246	126	18	an	an	DET
cana-1246	126	19	authenticated	authenticate	VERB
cana-1246	126	20	key	key	ADJ
cana-1246	126	21	agreement	agreement	NOUN
cana-1246	126	22	protocol	protocol	NOUN
cana-1246	126	23	is	be	AUX
cana-1246	126	24	an	an	DET
cana-1246	126	25	attack	attack	NOUN
cana-1246	126	26	where	where	SCONJ
cana-1246	126	27	by	by	ADP
cana-1246	126	28	an	an	DET
cana-1246	126	29	entity	entity	NOUN
cana-1246	126	30	a	a	DET
cana-1246	126	31	ends	end	NOUN
cana-1246	126	32	up	up	ADP
cana-1246	126	33	believing	believe	VERB
cana-1246	126	34	,	,	PUNCT
cana-1246	126	35	it	it	PRON
cana-1246	126	36	shares	share	VERB
cana-1246	126	37	a	a	DET
cana-1246	126	38	key	key	NOUN
cana-1246	126	39	with	with	ADP
cana-1246	126	40	another	another	DET
cana-1246	126	41	entity	entity	NOUN
cana-1246	126	42	b	b	NOUN
cana-1246	126	43	and	and	CCONJ
cana-1246	126	44	although	although	SCONJ
cana-1246	126	45	this	this	PRON
cana-1246	126	46	is	be	AUX
cana-1246	126	47	in	in	ADP
cana-1246	126	48	fact	fact	NOUN
cana-1246	126	49	the	the	DET
cana-1246	126	50	case	case	NOUN
cana-1246	126	51	that	that	SCONJ
cana-1246	126	52	b	b	NOUN
cana-1246	126	53	mistakenly	mistakenly	ADV
cana-1246	126	54	believes	believe	VERB
cana-1246	126	55	the	the	DET
cana-1246	126	56	key	key	NOUN
cana-1246	126	57	is	be	AUX
cana-1246	126	58	instead	instead	ADV
cana-1246	126	59	shared	share	VERB
cana-1246	126	60	with	with	ADP
cana-1246	126	61	an	an	DET
cana-1246	126	62	entity	entity	NOUN
cana-1246	126	63	c	c	NOUN
cana-1246	126	64	≠	≠	PROPN
cana-1246	126	65	a.	a.	NOUN
cana-1246	126	66	the	the	DET
cana-1246	126	67	communicating	communicate	VERB
cana-1246	126	68	entities	entity	NOUN
cana-1246	126	69	may	may	AUX
cana-1246	126	70	share	share	VERB
cana-1246	126	71	the	the	DET
cana-1246	126	72	key	key	NOUN
cana-1246	126	73	with	with	ADP
cana-1246	126	74	same	same	ADJ
cana-1246	126	75	other	other	ADJ
cana-1246	126	76	entity	entity	NOUN
cana-1246	126	77	with	with	ADP
cana-1246	126	78	the	the	DET
cana-1246	126	79	belief	belief	NOUN
cana-1246	126	80	that	that	SCONJ
cana-1246	126	81	he	he	PRON
cana-1246	126	82	/	/	SYM
cana-1246	126	83	she	she	PRON
cana-1246	126	84	is	be	AUX
cana-1246	126	85	sharing	share	VERB
cana-1246	126	86	with	with	ADP
cana-1246	126	87	intended	intend	VERB
cana-1246	126	88	parties	party	NOUN
cana-1246	126	89	.	.	PUNCT
cana-1246	127	1	but	but	CCONJ
cana-1246	127	2	the	the	DET
cana-1246	127	3	adversary	adversary	NOUN
cana-1246	127	4	has	have	VERB
cana-1246	127	5	to	to	PART
cana-1246	127	6	take	take	VERB
cana-1246	127	7	part	part	NOUN
cana-1246	127	8	in	in	ADP
cana-1246	127	9	all	all	DET
cana-1246	127	10	rounds	round	NOUN
cana-1246	127	11	to	to	PART
cana-1246	127	12	act	act	VERB
cana-1246	127	13	as	as	ADP
cana-1246	127	14	the	the	DET
cana-1246	127	15	intended	intended	ADJ
cana-1246	127	16	party	party	NOUN
cana-1246	127	17	.	.	PUNCT
cana-1246	128	1	if	if	SCONJ
cana-1246	128	2	it	it	PRON
cana-1246	128	3	is	be	AUX
cana-1246	128	4	possible	possible	ADJ
cana-1246	128	5	then	then	ADV
cana-1246	128	6	the	the	DET
cana-1246	128	7	kap	kap	NOUN
cana-1246	128	8	is	be	AUX
cana-1246	128	9	vulnerable	vulnerable	ADJ
cana-1246	128	10	unknown	unknown	ADJ
cana-1246	128	11	key	key	ADJ
cana-1246	128	12	share	share	NOUN
cana-1246	128	13	attack	attack	NOUN
cana-1246	128	14	.	.	PUNCT
cana-1246	129	1	this	this	PRON
cana-1246	129	2	may	may	AUX
cana-1246	129	3	have	have	AUX
cana-1246	129	4	been	be	AUX
cana-1246	129	5	overcome	overcome	VERB
cana-1246	129	6	by	by	ADP
cana-1246	129	7	proper	proper	ADJ
cana-1246	129	8	authentication	authentication	NOUN
cana-1246	129	9	.	.	PUNCT
cana-1246	130	1	no	no	DET
cana-1246	130	2	key	key	ADJ
cana-1246	130	3	control	control	NOUN
cana-1246	130	4	:	:	PUNCT
cana-1246	130	5	neither	neither	DET
cana-1246	130	6	entity	entity	NOUN
cana-1246	130	7	should	should	AUX
cana-1246	130	8	be	be	AUX
cana-1246	130	9	able	able	ADJ
cana-1246	130	10	to	to	PART
cana-1246	130	11	force	force	VERB
cana-1246	130	12	the	the	DET
cana-1246	130	13	session	session	NOUN
cana-1246	130	14	key	key	NOUN
cana-1246	130	15	to	to	ADP
cana-1246	130	16	a	a	DET
cana-1246	130	17	value	value	NOUN
cana-1246	130	18	of	of	ADP
cana-1246	130	19	his	his	PRON
cana-1246	130	20	choice	choice	NOUN
cana-1246	130	21	.	.	PUNCT
cana-1246	131	1	clearly	clearly	ADV
cana-1246	131	2	key	key	ADJ
cana-1246	131	3	control	control	NOUN
cana-1246	131	4	is	be	AUX
cana-1246	131	5	not	not	PART
cana-1246	131	6	possible	possible	ADJ
cana-1246	131	7	in	in	ADP
cana-1246	131	8	the	the	DET
cana-1246	131	9	present	present	ADJ
cana-1246	131	10	kap	kap	NOUN
cana-1246	131	11	.	.	PUNCT
cana-1246	132	1	as	as	SCONJ
cana-1246	132	2	the	the	DET
cana-1246	132	3	common	common	ADJ
cana-1246	132	4	key	key	NOUN
cana-1246	132	5	is	be	AUX
cana-1246	132	6	arrived	arrive	VERB
cana-1246	132	7	with	with	ADP
cana-1246	132	8	the	the	DET
cana-1246	132	9	participation	participation	NOUN
cana-1246	132	10	of	of	ADP
cana-1246	132	11	all	all	DET
cana-1246	132	12	the	the	DET
cana-1246	132	13	communicating	communicate	VERB
cana-1246	132	14	parties	party	NOUN
cana-1246	132	15	at	at	ADP
cana-1246	132	16	each	each	DET
cana-1246	132	17	round	round	NOUN
cana-1246	132	18	.	.	PUNCT
cana-1246	133	1	thus	thus	ADV
cana-1246	133	2	this	this	DET
cana-1246	133	3	kap	kap	NOUN
cana-1246	133	4	has	have	VERB
cana-1246	133	5	no	no	DET
cana-1246	133	6	key	key	ADJ
cana-1246	133	7	control	control	NOUN
cana-1246	133	8	to	to	ADP
cana-1246	133	9	any	any	DET
cana-1246	133	10	particular	particular	ADJ
cana-1246	133	11	entity	entity	NOUN
cana-1246	133	12	.	.	PUNCT
cana-1246	134	1	6	6	X
cana-1246	134	2	.	.	X
cana-1246	134	3	recent	recent	ADJ
cana-1246	134	4	works	work	NOUN
cana-1246	134	5	:	:	PUNCT
cana-1246	134	6	the	the	DET
cana-1246	134	7	finite	finite	ADJ
cana-1246	134	8	dimensional	dimensional	ADJ
cana-1246	134	9	left	left	ADJ
cana-1246	134	10	translation	translation	NOUN
cana-1246	134	11	invariant	invariant	ADJ
cana-1246	134	12	linear	linear	ADJ
cana-1246	134	13	spaces	space	NOUN
cana-1246	134	14	of	of	ADP
cana-1246	134	15	continuous	continuous	ADJ
cana-1246	134	16	complex	complex	ADJ
cana-1246	134	17	valued	value	VERB
cana-1246	134	18	functions	function	NOUN
cana-1246	134	19	over	over	ADP
cana-1246	134	20	the	the	DET
cana-1246	134	21	heisenberg	heisenberg	PROPN
cana-1246	134	22	group	group	NOUN
cana-1246	134	23	is	be	AUX
cana-1246	134	24	discussed	discuss	VERB
cana-1246	134	25	by	by	ADP
cana-1246	134	26	laszlo	laszlo	ADJ
cana-1246	134	27	szekelyhidi	szekelyhidi	NOUN
cana-1246	135	1	[	[	X
cana-1246	135	2	12	12	NUM
cana-1246	135	3	]	]	PUNCT
cana-1246	135	4	to	to	PART
cana-1246	135	5	improve	improve	VERB
cana-1246	135	6	the	the	DET
cana-1246	135	7	frame	frame	NOUN
cana-1246	135	8	of	of	ADP
cana-1246	135	9	reference	reference	NOUN
cana-1246	135	10	of	of	ADP
cana-1246	135	11	group	group	NOUN
cana-1246	135	12	.	.	PUNCT
cana-1246	136	1	the	the	DET
cana-1246	136	2	problem	problem	NOUN
cana-1246	136	3	of	of	ADP
cana-1246	136	4	finding	find	VERB
cana-1246	136	5	a	a	DET
cana-1246	136	6	secure	secure	ADJ
cana-1246	136	7	class	class	NOUN
cana-1246	136	8	of	of	ADP
cana-1246	136	9	nonabelian	nonabelian	ADJ
cana-1246	136	10	groups	group	NOUN
cana-1246	136	11	for	for	ADP
cana-1246	136	12	use	use	NOUN
cana-1246	136	13	as	as	ADP
cana-1246	136	14	platforms	platform	NOUN
cana-1246	136	15	is	be	AUX
cana-1246	136	16	open	open	ADJ
cana-1246	136	17	and	and	CCONJ
cana-1246	136	18	a	a	DET
cana-1246	136	19	subject	subject	NOUN
cana-1246	136	20	of	of	ADP
cana-1246	136	21	active	active	ADJ
cana-1246	136	22	research	research	NOUN
cana-1246	136	23	.	.	PUNCT
cana-1246	137	1	a	a	DET
cana-1246	137	2	polynomial	polynomial	ADJ
cana-1246	137	3	time	time	NOUN
cana-1246	137	4	solution	solution	NOUN
cana-1246	137	5	of	of	ADP
cana-1246	137	6	the	the	DET
cana-1246	137	7	csp	csp	PROPN
cana-1246	137	8	in	in	ADP
cana-1246	137	9	an	an	DET
cana-1246	137	10	important	important	ADJ
cana-1246	137	11	class	class	NOUN
cana-1246	137	12	of	of	ADP
cana-1246	137	13	nonabelian	nonabelian	ADJ
cana-1246	137	14	groups	group	NOUN
cana-1246	137	15	,	,	PUNCT
cana-1246	137	16	the	the	DET
cana-1246	137	17	extraspecial	extraspecial	ADJ
cana-1246	137	18	p	p	NOUN
cana-1246	137	19	-	-	PUNCT
cana-1246	137	20	groups	group	NOUN
cana-1246	137	21	and	and	CCONJ
cana-1246	137	22	the	the	DET
cana-1246	137	23	reduction	reduction	NOUN
cana-1246	137	24	of	of	ADP
cana-1246	137	25	the	the	DET
cana-1246	137	26	csp	csp	PROPN
cana-1246	137	27	in	in	ADP
cana-1246	137	28	certain	certain	ADJ
cana-1246	137	29	types	type	NOUN
cana-1246	137	30	of	of	ADP
cana-1246	137	31	central	central	ADJ
cana-1246	137	32	products	product	NOUN
cana-1246	137	33	will	will	AUX
cana-1246	137	34	be	be	AUX
cana-1246	137	35	discussed	discuss	VERB
cana-1246	137	36	by	by	ADP
cana-1246	137	37	simran	simran	ADJ
cana-1246	137	38	tinani	tinani	PROPN
cana-1246	138	1	[	[	X
cana-1246	138	2	13	13	NUM
cana-1246	138	3	]	]	PUNCT
cana-1246	138	4	.	.	PUNCT
cana-1246	139	1	7	7	X
cana-1246	139	2	.	.	X
cana-1246	139	3	conclusion	conclusion	NOUN
cana-1246	139	4	:	:	PUNCT
cana-1246	139	5	in	in	ADP
cana-1246	139	6	this	this	DET
cana-1246	139	7	paper	paper	NOUN
cana-1246	139	8	a	a	DET
cana-1246	139	9	new	new	ADJ
cana-1246	139	10	multi	multi	ADJ
cana-1246	139	11	party	party	PROPN
cana-1246	139	12	key	key	NOUN
cana-1246	139	13	agreement	agreement	NOUN
cana-1246	139	14	protocol	protocol	NOUN
cana-1246	139	15	is	be	AUX
cana-1246	139	16	proposed	propose	VERB
cana-1246	139	17	.	.	PUNCT
cana-1246	140	1	the	the	DET
cana-1246	140	2	conjugacy	conjugacy	PROPN
cana-1246	140	3	search	search	NOUN
cana-1246	140	4	problem	problem	NOUN
cana-1246	140	5	taken	take	VERB
cana-1246	140	6	up	up	ADP
cana-1246	140	7	the	the	DET
cana-1246	140	8	role	role	NOUN
cana-1246	140	9	of	of	ADP
cana-1246	140	10	one	one	NUM
cana-1246	140	11	way	way	NOUN
cana-1246	140	12	function	function	NOUN
cana-1246	140	13	.	.	PUNCT
cana-1246	141	1	this	this	PRON
cana-1246	141	2	is	be	AUX
cana-1246	141	3	implemented	implement	VERB
cana-1246	141	4	in	in	ADP
cana-1246	141	5	a	a	DET
cana-1246	141	6	five	five	NUM
cana-1246	141	7	dimentional	dimentional	ADJ
cana-1246	141	8	discrete	discrete	ADJ
cana-1246	141	9	heinsenberg	heinsenberg	PROPN
cana-1246	141	10	group	group	NOUN
cana-1246	141	11	which	which	PRON
cana-1246	141	12	is	be	AUX
cana-1246	141	13	a	a	DET
cana-1246	141	14	non	non	ADJ
cana-1246	141	15	-	-	ADJ
cana-1246	141	16	abelian	abelian	ADJ
cana-1246	141	17	platform	platform	NOUN
cana-1246	141	18	.	.	PUNCT
cana-1246	142	1	the	the	DET
cana-1246	142	2	computation	computation	NOUN
cana-1246	142	3	of	of	ADP
cana-1246	142	4	k	k	PROPN
cana-1246	142	5	values	value	NOUN
cana-1246	142	6	and	and	CCONJ
cana-1246	142	7	choosing	choose	VERB
cana-1246	142	8	g	g	PROPN
cana-1246	142	9	which	which	PRON
cana-1246	142	10	is	be	AUX
cana-1246	142	11	not	not	PART
cana-1246	142	12	commutative	commutative	ADJ
cana-1246	142	13	with	with	ADP
cana-1246	142	14	x	x	PUNCT
cana-1246	142	15	to	to	PART
cana-1246	142	16	be	be	AUX
cana-1246	142	17	done	do	VERB
cana-1246	142	18	by	by	ADP
cana-1246	142	19	the	the	DET
cana-1246	142	20	sagemath	sagemath	NOUN
cana-1246	142	21	algorithm	algorithm	NOUN
cana-1246	142	22	.	.	PUNCT
cana-1246	143	1	the	the	DET
cana-1246	143	2	interactability	interactability	NOUN
cana-1246	143	3	of	of	ADP
cana-1246	143	4	conjugacy	conjugacy	ADJ
cana-1246	143	5	search	search	NOUN
cana-1246	143	6	problems	problem	NOUN
cana-1246	143	7	also	also	ADV
cana-1246	143	8	demonstrated	demonstrate	VERB
cana-1246	143	9	.	.	PUNCT
cana-1246	144	1	in	in	ADP
cana-1246	144	2	this	this	DET
cana-1246	144	3	multiparty	multiparty	ADJ
cana-1246	144	4	key	key	ADJ
cana-1246	144	5	agreement	agreement	NOUN
cana-1246	144	6	protocol	protocol	NOUN
cana-1246	144	7	entities	entity	NOUN
cana-1246	144	8	arrive	arrive	VERB
cana-1246	144	9	at	at	ADP
cana-1246	144	10	a	a	DET
cana-1246	144	11	common	common	ADJ
cana-1246	144	12	key	key	NOUN
cana-1246	144	13	in	in	ADP
cana-1246	144	14	k-1	k-1	PROPN
cana-1246	144	15	rounds	rounds	PROPN
cana-1246	144	16	.	.	PUNCT
cana-1246	145	1	also	also	ADV
cana-1246	145	2	this	this	DET
cana-1246	145	3	protocol	protocol	NOUN
cana-1246	145	4	satisfies	satisfy	VERB
cana-1246	145	5	the	the	DET
cana-1246	145	6	necessary	necessary	ADJ
cana-1246	145	7	security	security	NOUN
cana-1246	145	8	attributes	attribute	NOUN
cana-1246	145	9	for	for	ADP
cana-1246	145	10	kap	kap	NOUN
cana-1246	145	11	.	.	PUNCT
cana-1246	146	1	a	a	DET
cana-1246	146	2	numerical	numerical	ADJ
cana-1246	146	3	example	example	NOUN
cana-1246	146	4	for	for	ADP
cana-1246	146	5	five	five	NUM
cana-1246	146	6	party	party	NOUN
cana-1246	146	7	kap	kap	NOUN
cana-1246	146	8	is	be	AUX
cana-1246	146	9	illustrated	illustrate	VERB
cana-1246	146	10	in	in	ADP
cana-1246	146	11	this	this	DET
cana-1246	146	12	paper	paper	NOUN
cana-1246	146	13	.	.	PUNCT
cana-1246	147	1	other	other	ADJ
cana-1246	147	2	search	search	NOUN
cana-1246	147	3	problem	problem	NOUN
cana-1246	147	4	such	such	ADJ
cana-1246	147	5	as	as	ADP
cana-1246	147	6	decomposition	decomposition	NOUN
cana-1246	147	7	search	search	NOUN
cana-1246	147	8	problem	problem	NOUN
cana-1246	147	9	,	,	PUNCT
cana-1246	147	10	triple	triple	ADJ
cana-1246	147	11	decomposition	decomposition	NOUN
cana-1246	147	12	search	search	NOUN
cana-1246	147	13	problem	problem	NOUN
cana-1246	147	14	and	and	CCONJ
cana-1246	147	15	twisted	twisted	ADJ
cana-1246	147	16	conjugacy	conjugacy	ADJ
cana-1246	147	17	search	search	NOUN
cana-1246	147	18	problem	problem	NOUN
cana-1246	147	19	etc	etc	X
cana-1246	147	20	,	,	PUNCT
cana-1246	147	21	may	may	AUX
cana-1246	147	22	also	also	ADV
cana-1246	147	23	be	be	AUX
cana-1246	147	24	used	use	VERB
cana-1246	147	25	to	to	PART
cana-1246	147	26	describe	describe	VERB
cana-1246	147	27	a	a	DET
cana-1246	147	28	kap	kap	NOUN
cana-1246	147	29	.	.	PUNCT
cana-1246	148	1	any	any	DET
cana-1246	148	2	suitable	suitable	ADJ
cana-1246	148	3	platform	platform	NOUN
cana-1246	148	4	group	group	NOUN
cana-1246	148	5	may	may	AUX
cana-1246	148	6	also	also	ADV
cana-1246	148	7	be	be	AUX
cana-1246	148	8	applied	apply	VERB
cana-1246	148	9	to	to	PART
cana-1246	148	10	arrive	arrive	VERB
cana-1246	148	11	at	at	ADP
cana-1246	148	12	a	a	DET
cana-1246	148	13	common	common	ADJ
cana-1246	148	14	key	key	NOUN
cana-1246	148	15	.	.	PUNCT
cana-1246	149	1	the	the	DET
cana-1246	149	2	dhg	dhg	PROPN
cana-1246	149	3	also	also	ADV
cana-1246	149	4	considered	consider	VERB
cana-1246	149	5	as	as	SCONJ
cana-1246	149	6	extraspecial	extraspecial	ADJ
cana-1246	149	7	p	p	NOUN
cana-1246	149	8	-	-	PUNCT
cana-1246	149	9	group	group	NOUN
cana-1246	149	10	or	or	CCONJ
cana-1246	149	11	complex	complex	ADJ
cana-1246	149	12	group	group	NOUN
cana-1246	149	13	be	be	AUX
cana-1246	149	14	the	the	DET
cana-1246	149	15	extension	extension	NOUN
cana-1246	149	16	of	of	ADP
cana-1246	149	17	this	this	DET
cana-1246	149	18	work	work	NOUN
cana-1246	149	19	and	and	CCONJ
cana-1246	149	20	it	it	PRON
cana-1246	149	21	will	will	AUX
cana-1246	149	22	give	give	VERB
cana-1246	149	23	more	more	ADV
cana-1246	149	24	significant	significant	ADJ
cana-1246	149	25	results	result	NOUN
cana-1246	149	26	.	.	PUNCT
cana-1246	150	1	references	reference	NOUN
cana-1246	150	2	:	:	PUNCT
cana-1246	151	1	[	[	X
cana-1246	151	2	1	1	NUM
cana-1246	151	3	]	]	X
cana-1246	151	4	alexei	alexei	NOUN
cana-1246	151	5	myasnikov	myasnikov	PROPN
cana-1246	151	6	,	,	PUNCT
cana-1246	151	7	vladimir	vladimir	PROPN
cana-1246	151	8	shpilrain	shpilrain	PROPN
cana-1246	151	9	,	,	PUNCT
cana-1246	151	10	alexander	alexander	PROPN
cana-1246	151	11	ushakov	ushakov	PROPN
cana-1246	151	12	,	,	PUNCT
cana-1246	151	13	‘	'	PUNCT
cana-1246	151	14	group	group	NOUN
cana-1246	151	15	based	base	VERB
cana-1246	151	16	cryptography	cryptography	NOUN
cana-1246	151	17	’	'	PUNCT
cana-1246	151	18	,	,	PUNCT
cana-1246	151	19	crm	crm	PROPN
cana-1246	151	20	,	,	PUNCT
cana-1246	151	21	birkhäuserverlag	birkhäuserverlag	PROPN
cana-1246	151	22	,	,	PUNCT
cana-1246	151	23	basel	basel	PROPN
cana-1246	151	24	,	,	PUNCT
cana-1246	151	25	boston	boston	PROPN
cana-1246	151	26	,	,	PUNCT
cana-1246	151	27	berlin	berlin	PROPN
cana-1246	151	28	.	.	PUNCT
cana-1246	151	29	2007	2007	NUM
cana-1246	151	30	.	.	PUNCT
cana-1246	152	1	[	[	X
cana-1246	152	2	2	2	NUM
cana-1246	152	3	]	]	PUNCT
cana-1246	152	4	alfred	alfred	PROPN
cana-1246	152	5	menezes	menezes	PROPN
cana-1246	152	6	,	,	PUNCT
cana-1246	152	7	paul	paul	PROPN
cana-1246	152	8	van	van	PROPN
cana-1246	152	9	oorschot	oorschot	PROPN
cana-1246	152	10	,	,	PUNCT
cana-1246	152	11	scott	scott	PROPN
cana-1246	152	12	vanstone	vanstone	NOUN
cana-1246	152	13	,	,	PUNCT
cana-1246	152	14	‘	'	PUNCT
cana-1246	152	15	a	a	DET
cana-1246	152	16	handbook	handbook	NOUN
cana-1246	152	17	of	of	ADP
cana-1246	152	18	applied	apply	VERB
cana-1246	152	19	cryptography’,crc	cryptography’,crc	PROPN
cana-1246	152	20	press	press	NOUN
cana-1246	152	21	series	series	NOUN
cana-1246	152	22	on	on	ADP
cana-1246	152	23	discrete	discrete	ADJ
cana-1246	152	24	mathematics	mathematic	NOUN
cana-1246	152	25	and	and	CCONJ
cana-1246	152	26	its	its	PRON
cana-1246	152	27	applications	application	NOUN
cana-1246	152	28	.	.	PUNCT
cana-1246	152	29	1996	1996	NUM
cana-1246	152	30	.	.	PUNCT
cana-1246	153	1	[	[	X
cana-1246	153	2	3	3	X
cana-1246	153	3	]	]	X
cana-1246	153	4	andrej	andrej	PROPN
cana-1246	153	5	bordnik	bordnik	PROPN
cana-1246	153	6	,	,	PUNCT
cana-1246	153	7	aleksander	aleksander	PROPN
cana-1246	153	8	malnič	malnič	PROPN
cana-1246	153	9	and	and	CCONJ
cana-1246	153	10	rok	rok	PROPN
cana-1246	153	11	požar,’the	požar,’the	PROPN
cana-1246	153	12	simultananeous	simultananeous	PROPN
cana-1246	153	13	conjugacy	conjugacy	PROPN
cana-1246	153	14	problem	problem	NOUN
cana-1246	153	15	in	in	ADP
cana-1246	153	16	the	the	DET
cana-1246	153	17	symmetric	symmetric	ADJ
cana-1246	153	18	group	group	NOUN
cana-1246	153	19	’	'	PUNCT
cana-1246	153	20	,	,	PUNCT
cana-1246	153	21	math	math	NOUN
cana-1246	153	22	.	.	PUNCT
cana-1246	154	1	comp	comp	PROPN
cana-1246	154	2	.	.	PUNCT
cana-1246	155	1	90	90	NUM
cana-1246	155	2	(	(	PUNCT
cana-1246	155	3	2021	2021	NUM
cana-1246	155	4	)	)	PUNCT
cana-1246	155	5	,	,	PUNCT
cana-1246	155	6	2977	2977	NUM
cana-1246	155	7	-	-	SYM
cana-1246	155	8	2995	2995	NUM
cana-1246	155	9	https://mathscinet.ams.org/mathscinet/search/authors.html?authorname=malnic%2c%20aleksander	https://mathscinet.ams.org/mathscinet/search/authors.html?authorname=malnic%2c%20aleksander	NOUN
cana-1246	155	10	https://mathscinet.ams.org/mathscinet/search/authors.html?authorname=pozar%2c%20rok	https://mathscinet.ams.org/mathscinet/search/authors.html?authorname=pozar%2c%20rok	VERB
cana-1246	155	11	communications	communication	NOUN
cana-1246	155	12	on	on	ADP
cana-1246	155	13	applied	apply	VERB
cana-1246	155	14	nonlinear	nonlinear	ADJ
cana-1246	155	15	analysis	analysis	NOUN
cana-1246	155	16	issn	issn	NOUN
cana-1246	155	17	:	:	PUNCT
cana-1246	155	18	1074	1074	NUM
cana-1246	155	19	-	-	PUNCT
cana-1246	155	20	133x	133x	NUM
cana-1246	155	21	vol	vol	NOUN
cana-1246	155	22	31	31	NUM
cana-1246	155	23	no	no	NOUN
cana-1246	155	24	.	.	PUNCT
cana-1246	156	1	6s	6s	NUM
cana-1246	156	2	(	(	PUNCT
cana-1246	156	3	2024	2024	NUM
cana-1246	156	4	)	)	PUNCT
cana-1246	156	5	601	601	NUM
cana-1246	156	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1246	157	1	[	[	X
cana-1246	157	2	4	4	X
cana-1246	157	3	]	]	X
cana-1246	157	4	andre	andre	PROPN
cana-1246	157	5	carvalho,’on	carvalho,’on	PROPN
cana-1246	157	6	generalized	generalize	VERB
cana-1246	157	7	conjugacy	conjugacy	NOUN
cana-1246	157	8	and	and	CCONJ
cana-1246	157	9	some	some	DET
cana-1246	157	10	related	related	ADJ
cana-1246	157	11	problems	problem	NOUN
cana-1246	157	12	’	'	PUNCT
cana-1246	157	13	,	,	PUNCT
cana-1246	157	14	communications	communication	NOUN
cana-1246	157	15	in	in	ADP
cana-1246	157	16	algebra	algebra	NOUN
cana-1246	157	17	,	,	PUNCT
cana-1246	157	18	51(8)35283542	51(8)35283542	NUM
cana-1246	157	19	,	,	PUNCT
cana-1246	157	20	2023	2023	NUM
cana-1246	157	21	.	.	PUNCT
cana-1246	158	1	[	[	X
cana-1246	158	2	5	5	X
cana-1246	158	3	]	]	PUNCT
cana-1246	158	4	i.anshel	i.anshel	PROPN
cana-1246	158	5	,	,	PUNCT
cana-1246	158	6	m.anshel	m.anshel	ADJ
cana-1246	158	7	,	,	PUNCT
cana-1246	158	8	and	and	CCONJ
cana-1246	158	9	d.goldfeld	d.goldfeld	PROPN
cana-1246	158	10	,	,	PUNCT
cana-1246	158	11	‘	'	PUNCT
cana-1246	158	12	an	an	DET
cana-1246	158	13	algebraic	algebraic	ADJ
cana-1246	158	14	method	method	NOUN
cana-1246	158	15	for	for	ADP
cana-1246	158	16	public	public	ADJ
cana-1246	158	17	-	-	PUNCT
cana-1246	158	18	key	key	NOUN
cana-1246	158	19	cryptography’,mathematical	cryptography’,mathematical	PROPN
cana-1246	158	20	research	research	NOUN
cana-1246	158	21	letters	letter	NOUN
cana-1246	158	22	,	,	PUNCT
cana-1246	158	23	6	6	NUM
cana-1246	158	24	(	(	PUNCT
cana-1246	158	25	1999	1999	NUM
cana-1246	158	26	)	)	PUNCT
cana-1246	158	27	,	,	PUNCT
cana-1246	158	28	287–291	287–291	NUM
cana-1246	158	29	.	.	PUNCT
cana-1246	159	1	[	[	X
cana-1246	159	2	6	6	NUM
cana-1246	159	3	]	]	PUNCT
cana-1246	159	4	whitfield	whitfield	PROPN
cana-1246	159	5	diffie	diffie	PROPN
cana-1246	159	6	and	and	CCONJ
cana-1246	159	7	martin	martin	PROPN
cana-1246	159	8	e.	e.	PROPN
cana-1246	159	9	hellman	hellman	PROPN
cana-1246	159	10	,	,	PUNCT
cana-1246	159	11	new	new	ADJ
cana-1246	159	12	directions	direction	NOUN
cana-1246	159	13	in	in	ADP
cana-1246	159	14	cryptography	cryptography	NOUN
cana-1246	159	15	,	,	PUNCT
cana-1246	159	16	ieee	ieee	NOUN
cana-1246	159	17	transactionsion	transactionsion	NOUN
cana-1246	159	18	information	information	NOUN
cana-1246	159	19	theory	theory	NOUN
cana-1246	159	20	,	,	PUNCT
cana-1246	159	21	22(6	22(6	NUM
cana-1246	159	22	)	)	PUNCT
cana-1246	159	23	1976	1976	NUM
cana-1246	159	24	,	,	PUNCT
cana-1246	159	25	644–654	644–654	NUM
cana-1246	159	26	.	.	PUNCT
cana-1246	160	1	[	[	X
cana-1246	160	2	7	7	NUM
cana-1246	160	3	]	]	SYM
cana-1246	160	4	t.isaiyarasi	t.isaiyarasi	ADJ
cana-1246	160	5	,	,	PUNCT
cana-1246	160	6	k.sankarasubramanian	k.sankarasubramanian	PROPN
cana-1246	160	7	,	,	PUNCT
cana-1246	160	8	a	a	DET
cana-1246	160	9	new	new	ADJ
cana-1246	160	10	multiparty	multiparty	NOUN
cana-1246	160	11	key	key	NOUN
cana-1246	160	12	agreement	agreement	NOUN
cana-1246	160	13	protocol	protocol	NOUN
cana-1246	160	14	using	use	VERB
cana-1246	160	15	triple	triple	ADJ
cana-1246	160	16	decomposition	decomposition	NOUN
cana-1246	160	17	search	search	NOUN
cana-1246	160	18	problem	problem	NOUN
cana-1246	160	19	in	in	ADP
cana-1246	160	20	discrete	discrete	ADJ
cana-1246	160	21	heisenberg	heisenberg	PROPN
cana-1246	160	22	group	group	PROPN
cana-1246	160	23	,	,	PUNCT
cana-1246	160	24	international	international	ADJ
cana-1246	160	25	journal	journal	NOUN
cana-1246	160	26	of	of	ADP
cana-1246	160	27	computer	computer	NOUN
cana-1246	160	28	engineering	engineering	NOUN
cana-1246	160	29	and	and	CCONJ
cana-1246	160	30	information	information	NOUN
cana-1246	160	31	technology	technology	NOUN
cana-1246	160	32	,	,	PUNCT
cana-1246	160	33	4(6	4(6	NUM
cana-1246	160	34	)	)	PUNCT
cana-1246	160	35	2013	2013	NUM
cana-1246	160	36	,	,	PUNCT
cana-1246	160	37	09	09	NUM
cana-1246	160	38	-	-	SYM
cana-1246	160	39	15	15	NUM
cana-1246	160	40	.	.	PUNCT
cana-1246	161	1	[	[	X
cana-1246	161	2	8	8	NUM
cana-1246	161	3	]	]	SYM
cana-1246	161	4	t.isaiyarasi	t.isaiyarasi	ADJ
cana-1246	161	5	,	,	PUNCT
cana-1246	161	6	k.sankarasubramanian	k.sankarasubramanian	ADJ
cana-1246	161	7	,	,	PUNCT
cana-1246	161	8	tripartite	tripartite	ADJ
cana-1246	161	9	key	key	ADJ
cana-1246	161	10	agreement	agreement	NOUN
cana-1246	161	11	protocol	protocol	NOUN
cana-1246	161	12	using	use	VERB
cana-1246	161	13	tripledecomposition	tripledecomposition	NOUN
cana-1246	161	14	search	search	NOUN
cana-1246	161	15	problem	problem	NOUN
cana-1246	161	16	,	,	PUNCT
cana-1246	161	17	international	international	ADJ
cana-1246	161	18	journal	journal	NOUN
cana-1246	161	19	on	on	ADP
cana-1246	161	20	cryptography	cryptography	NOUN
cana-1246	161	21	and	and	CCONJ
cana-1246	161	22	informationsecurity	informationsecurity	NOUN
cana-1246	161	23	,	,	PUNCT
cana-1246	161	24	2(1)2012	2(1)2012	NOUN
cana-1246	161	25	,	,	PUNCT
cana-1246	161	26	49	49	NUM
cana-1246	161	27	-	-	SYM
cana-1246	161	28	55	55	NUM
cana-1246	161	29	.	.	PUNCT
cana-1246	162	1	[	[	X
cana-1246	162	2	9	9	NUM
cana-1246	162	3	]	]	SYM
cana-1246	162	4	t.isaiyarasi	t.isaiyarasi	ADJ
cana-1246	162	5	,	,	PUNCT
cana-1246	162	6	k.sankarasubramanian	k.sankarasubramanian	PROPN
cana-1246	162	7	,	,	PUNCT
cana-1246	162	8	a	a	DET
cana-1246	162	9	new	new	ADJ
cana-1246	162	10	key	key	ADJ
cana-1246	162	11	agreement	agreement	NOUN
cana-1246	162	12	protocol	protocol	NOUN
cana-1246	162	13	using	use	VERB
cana-1246	162	14	two	two	NUM
cana-1246	162	15	layers	layer	NOUN
cana-1246	162	16	ofsecurity	ofsecurity	NOUN
cana-1246	162	17	,	,	PUNCT
cana-1246	162	18	journal	journal	NOUN
cana-1246	162	19	of	of	ADP
cana-1246	162	20	discrete	discrete	ADJ
cana-1246	162	21	mathematical	mathematical	ADJ
cana-1246	162	22	sciences	science	NOUN
cana-1246	162	23	and	and	CCONJ
cana-1246	162	24	cryptography	cryptography	NOUN
cana-1246	162	25	,	,	PUNCT
cana-1246	162	26	15(2	15(2	NUM
cana-1246	162	27	&	&	CCONJ
cana-1246	162	28	3	3	NUM
cana-1246	162	29	)	)	PUNCT
cana-1246	162	30	2013,125	2013,125	NUM
cana-1246	162	31	-	-	SYM
cana-1246	162	32	133	133	NUM
cana-1246	162	33	.	.	PUNCT
cana-1246	163	1	[	[	X
cana-1246	163	2	10	10	NUM
cana-1246	163	3	]	]	PUNCT
cana-1246	163	4	t.isaiyarasi	t.isaiyarasi	ADJ
cana-1246	163	5	,	,	PUNCT
cana-1246	163	6	k.sankarasubramanian	k.sankarasubramanian	PROPN
cana-1246	163	7	,	,	PUNCT
cana-1246	163	8	a	a	DET
cana-1246	163	9	new	new	ADJ
cana-1246	163	10	multiparty	multiparty	NOUN
cana-1246	163	11	key	key	NOUN
cana-1246	163	12	agreement	agreement	NOUN
cana-1246	163	13	protocol	protocol	NOUN
cana-1246	163	14	using	use	VERB
cana-1246	163	15	searchproblems	searchproblem	NOUN
cana-1246	163	16	in	in	ADP
cana-1246	163	17	discrete	discrete	ADJ
cana-1246	163	18	heisenberg	heisenberg	PROPN
cana-1246	163	19	group	group	PROPN
cana-1246	163	20	,	,	PUNCT
cana-1246	163	21	indian	indian	PROPN
cana-1246	163	22	journal	journal	NOUN
cana-1246	163	23	of	of	ADP
cana-1246	163	24	computer	computer	NOUN
cana-1246	163	25	science	science	NOUN
cana-1246	163	26	and	and	CCONJ
cana-1246	163	27	engineering	engineering	NOUN
cana-1246	163	28	,	,	PUNCT
cana-1246	163	29	ssn	ssn	PROPN
cana-1246	163	30	2231	2231	NUM
cana-1246	163	31	-	-	SYM
cana-1246	163	32	3850	3850	NUM
cana-1246	163	33	,	,	PUNCT
cana-1246	163	34	3(1)2012	3(1)2012	NUM
cana-1246	163	35	,	,	PUNCT
cana-1246	163	36	154	154	NUM
cana-1246	163	37	-	-	SYM
cana-1246	163	38	161	161	NUM
cana-1246	163	39	.	.	PUNCT
cana-1246	164	1	[	[	X
cana-1246	164	2	11	11	NUM
cana-1246	164	3	]	]	PUNCT
cana-1246	164	4	t.isiayarasi	t.isiayarasi	NOUN
cana-1246	164	5	,	,	PUNCT
cana-1246	164	6	.s	.s	NOUN
cana-1246	164	7	.	.	PUNCT
cana-1246	165	1	chitra	chitra	PROPN
cana-1246	165	2	,	,	PUNCT
cana-1246	165	3	‘	'	PUNCT
cana-1246	165	4	authenticated	authenticate	VERB
cana-1246	165	5	key	key	ADJ
cana-1246	165	6	agreement	agreement	NOUN
cana-1246	165	7	protocol	protocol	NOUN
cana-1246	165	8	for	for	ADP
cana-1246	165	9	hwsn	hwsn	NOUN
cana-1246	165	10	network	network	NOUN
cana-1246	165	11	’	'	PUNCT
cana-1246	165	12	,	,	PUNCT
cana-1246	165	13	a	a	DET
cana-1246	165	14	journal	journal	NOUN
cana-1246	165	15	of	of	ADP
cana-1246	165	16	composition	composition	NOUN
cana-1246	165	17	theory	theory	NOUN
cana-1246	165	18	,	,	PUNCT
cana-1246	165	19	14(2)2021	14(2)2021	NUM
cana-1246	165	20	,	,	PUNCT
cana-1246	165	21	153	153	NUM
cana-1246	165	22	-	-	SYM
cana-1246	165	23	164	164	NUM
cana-1246	165	24	.	.	PUNCT
cana-1246	166	1	[	[	X
cana-1246	166	2	12	12	NUM
cana-1246	166	3	]	]	PUNCT
cana-1246	166	4	jeffrey	jeffrey	PROPN
cana-1246	166	5	hoffstein	hoffstein	PROPN
cana-1246	166	6	,	,	PUNCT
cana-1246	166	7	jill	jill	PROPN
cana-1246	166	8	pipher	pipher	PROPN
cana-1246	166	9	,	,	PUNCT
cana-1246	166	10	joseph	joseph	PROPN
cana-1246	166	11	h.	h.	PROPN
cana-1246	166	12	silverman	silverman	PROPN
cana-1246	166	13	,	,	PUNCT
cana-1246	166	14	‘	'	PUNCT
cana-1246	166	15	an	an	DET
cana-1246	166	16	introduction	introduction	NOUN
cana-1246	166	17	to	to	ADP
cana-1246	166	18	mathematical	mathematical	ADJ
cana-1246	166	19	cryptography	cryptography	NOUN
cana-1246	166	20	’	'	PUNCT
cana-1246	166	21	,	,	PUNCT
cana-1246	166	22	springer	springer	NOUN
cana-1246	166	23	,	,	PUNCT
cana-1246	166	24	2014	2014	NUM
cana-1246	166	25	.	.	PUNCT
cana-1246	167	1	[	[	X
cana-1246	167	2	13	13	NUM
cana-1246	167	3	]	]	PUNCT
cana-1246	167	4	laszlo	laszlo	ADJ
cana-1246	167	5	szekelyhidi	szekelyhidi	NOUN
cana-1246	167	6	,	,	PUNCT
cana-1246	167	7	‘	'	PUNCT
cana-1246	167	8	finite	finite	ADJ
cana-1246	167	9	dimensional	dimensional	ADJ
cana-1246	167	10	varieties	variety	NOUN
cana-1246	167	11	over	over	ADP
cana-1246	167	12	the	the	DET
cana-1246	167	13	heisenberg	heisenberg	PROPN
cana-1246	167	14	group	group	PROPN
cana-1246	167	15	’	'	PUNCT
cana-1246	167	16	,	,	PUNCT
cana-1246	167	17	aequationes	aequatione	NOUN
cana-1246	167	18	mathematicae	mathematicae	PROPN
cana-1246	167	19	,	,	PUNCT
cana-1246	167	20	97	97	NUM
cana-1246	167	21	,	,	PUNCT
cana-1246	167	22	2022	2022	NUM
cana-1246	167	23	,	,	PUNCT
cana-1246	167	24	377–390	377–390	NUM
cana-1246	167	25	.	.	PUNCT
cana-1246	168	1	[	[	X
cana-1246	168	2	14	14	NUM
cana-1246	168	3	]	]	X
cana-1246	168	4	peter	peter	PROPN
cana-1246	168	5	j.	j.	PROPN
cana-1246	168	6	,	,	PUNCT
cana-1246	168	7	‘	'	PUNCT
cana-1246	168	8	automorphisms	automorphism	NOUN
cana-1246	168	9	of	of	ADP
cana-1246	168	10	the	the	DET
cana-1246	168	11	discrete	discrete	ADJ
cana-1246	168	12	heisenberg	heisenberg	PROPN
cana-1246	168	13	group	group	PROPN
cana-1246	168	14	’	'	PUNCT
cana-1246	168	15	,	,	PUNCT
cana-1246	168	16	mathsg(simpletic	mathsg(simpletic	PROPN
cana-1246	168	17	geomentry	geomentry	NOUN
cana-1246	168	18	)	)	PUNCT
cana-1246	168	19	,	,	PUNCT
cana-1246	168	20	6,2004	6,2004	X
cana-1246	168	21	.	.	PUNCT
cana-1246	169	1	[	[	X
cana-1246	169	2	15	15	NUM
cana-1246	169	3	]	]	X
cana-1246	169	4	simran	simran	ADJ
cana-1246	169	5	tinani	tinani	NOUN
cana-1246	169	6	,	,	PUNCT
cana-1246	169	7	‘	'	PUNCT
cana-1246	169	8	on	on	ADP
cana-1246	169	9	conjugacy	conjugacy	ADJ
cana-1246	169	10	search	search	NOUN
cana-1246	169	11	problem	problem	NOUN
cana-1246	169	12	in	in	ADP
cana-1246	169	13	extraspecial	extraspecial	ADJ
cana-1246	169	14	pgroup	pgroup	NOUN
cana-1246	169	15	’	'	PUNCT
cana-1246	169	16	,	,	PUNCT
cana-1246	169	17	cs.cr.2022	cs.cr.2022	PROPN
cana-1246	169	18	.	.	PUNCT
cana-1246	170	1	[	[	X
cana-1246	170	2	16	16	NUM
cana-1246	170	3	]	]	X
cana-1246	170	4	simran	simran	ADJ
cana-1246	170	5	tinani	tinani	NOUN
cana-1246	170	6	,	,	PUNCT
cana-1246	170	7	‘	'	PUNCT
cana-1246	170	8	solutions	solution	NOUN
cana-1246	170	9	to	to	ADP
cana-1246	170	10	the	the	DET
cana-1246	170	11	conjugacy	conjugacy	PROPN
cana-1246	170	12	search	search	NOUN
cana-1246	170	13	problem	problem	NOUN
cana-1246	170	14	in	in	ADP
cana-1246	170	15	various	various	ADJ
cana-1246	170	16	platform	platform	NOUN
cana-1246	170	17	groups	group	NOUN
cana-1246	170	18	’	'	PUNCT
cana-1246	170	19	,	,	PUNCT
cana-1246	170	20	wcc	wcc	PROPN
cana-1246	170	21	2022	2022	NUM
cana-1246	170	22	:	:	PUNCT
cana-1246	170	23	the	the	DET
cana-1246	170	24	twelfth	twelfth	ADJ
cana-1246	170	25	international	international	ADJ
cana-1246	170	26	workshop	workshop	NOUN
cana-1246	170	27	on	on	ADP
cana-1246	170	28	coding	coding	NOUN
cana-1246	170	29	and	and	CCONJ
cana-1246	170	30	cryptography	cryptography	NOUN
cana-1246	170	31	,	,	PUNCT
cana-1246	170	32	2022	2022	NUM
cana-1246	170	33	.	.	PUNCT
cana-1246	171	1	[	[	X
cana-1246	171	2	17	17	NUM
cana-1246	171	3	]	]	X
cana-1246	171	4	m	m	NOUN
cana-1246	171	5	palanikumar	palanikumar	PROPN
cana-1246	171	6	,	,	PUNCT
cana-1246	171	7	k	k	PROPN
cana-1246	171	8	arulmozhi	arulmozhi	PROPN
cana-1246	171	9	,	,	PUNCT
cana-1246	171	10	novel	novel	ADJ
cana-1246	171	11	possibility	possibility	NOUN
cana-1246	171	12	pythagorean	pythagorean	PROPN
cana-1246	171	13	interval	interval	NOUN
cana-1246	171	14	valued	value	VERB
cana-1246	171	15	fuzzy	fuzzy	ADJ
cana-1246	171	16	soft	soft	ADJ
cana-1246	171	17	set	set	NOUN
cana-1246	171	18	method	method	NOUN
cana-1246	171	19	for	for	ADP
cana-1246	171	20	a	a	DET
cana-1246	171	21	decision	decision	NOUN
cana-1246	171	22	making	making	NOUN
cana-1246	171	23	,	,	PUNCT
cana-1246	171	24	twms	twms	PROPN
cana-1246	171	25	j.	j.	PROPN
cana-1246	171	26	app	app	PROPN
cana-1246	171	27	.	.	PROPN
cana-1246	172	1	and	and	CCONJ
cana-1246	172	2	eng	eng	PROPN
cana-1246	172	3	.	.	PROPN
cana-1246	172	4	math	math	PROPN
cana-1246	172	5	.	.	PUNCT
cana-1246	173	1	v.13	v.13	ADP
cana-1246	173	2	,	,	PUNCT
cana-1246	173	3	n.1	n.1	NUM
cana-1246	173	4	,	,	PUNCT
cana-1246	173	5	2023	2023	NUM
cana-1246	173	6	,	,	PUNCT
cana-1246	173	7	pp	pp	ADJ
cana-1246	173	8	.	.	PUNCT
cana-1246	174	1	327	327	NUM
cana-1246	174	2	-	-	SYM
cana-1246	174	3	340	340	NUM
cana-1246	174	4	.	.	PUNCT
cana-1246	175	1	[	[	X
cana-1246	175	2	18	18	NUM
cana-1246	175	3	]	]	X
cana-1246	175	4	m	m	NOUN
cana-1246	175	5	palanikumar	palanikumar	NOUN
cana-1246	175	6	,	,	PUNCT
cana-1246	175	7	o	o	PROPN
cana-1246	175	8	al	al	PROPN
cana-1246	175	9	-	-	PUNCT
cana-1246	175	10	shanqiti	shanqiti	PROPN
cana-1246	175	11	,	,	PUNCT
cana-1246	175	12	c	c	PROPN
cana-1246	175	13	jana	jana	PROPN
cana-1246	175	14	,	,	PUNCT
cana-1246	175	15	m	m	VERB
cana-1246	175	16	pal	pal	ADJ
cana-1246	175	17	,	,	PUNCT
cana-1246	175	18	novelty	novelty	NOUN
cana-1246	175	19	for	for	ADP
cana-1246	175	20	different	different	ADJ
cana-1246	175	21	prime	prime	ADJ
cana-1246	175	22	partial	partial	ADJ
cana-1246	175	23	bi	bi	NOUN
cana-1246	175	24	-	-	NOUN
cana-1246	175	25	ideals	ideal	NOUN
cana-1246	175	26	in	in	ADP
cana-1246	175	27	non	non	ADJ
cana-1246	175	28	-	-	ADJ
cana-1246	175	29	commutative	commutative	ADJ
cana-1246	175	30	partial	partial	ADJ
cana-1246	175	31	rings	ring	NOUN
cana-1246	175	32	and	and	CCONJ
cana-1246	175	33	its	its	PRON
cana-1246	175	34	extension	extension	NOUN
cana-1246	175	35	,	,	PUNCT
cana-1246	175	36	mathematics	mathematics	NOUN
cana-1246	175	37	11	11	NUM
cana-1246	175	38	(	(	PUNCT
cana-1246	175	39	6	6	NUM
cana-1246	175	40	)	)	PUNCT
cana-1246	175	41	,	,	PUNCT
cana-1246	175	42	1309	1309	NUM
cana-1246	175	43	,	,	PUNCT
cana-1246	175	44	2023	2023	NUM
cana-1246	175	45	.	.	PUNCT
cana-1246	176	1	[	[	X
cana-1246	176	2	19	19	NUM
cana-1246	176	3	]	]	X
cana-1246	176	4	m	m	NOUN
cana-1246	176	5	palanikumar	palanikumar	NOUN
cana-1246	176	6	,	,	PUNCT
cana-1246	176	7	c	c	PROPN
cana-1246	176	8	jana	jana	PROPN
cana-1246	176	9	,	,	PUNCT
cana-1246	176	10	m	m	VERB
cana-1246	176	11	pal	pal	ADJ
cana-1246	176	12	,	,	PUNCT
cana-1246	176	13	v	v	NOUN
cana-1246	176	14	leoreanu	leoreanu	NOUN
cana-1246	176	15	-	-	PUNCT
cana-1246	176	16	foteaon	foteaon	ADJ
cana-1246	176	17	various	various	ADJ
cana-1246	176	18	2	2	NUM
cana-1246	176	19	-	-	PUNCT
cana-1246	176	20	absorbing	absorbing	ADJ
cana-1246	176	21	prime	prime	ADJ
cana-1246	176	22	ideals	ideal	NOUN
cana-1246	176	23	in	in	ADP
cana-1246	176	24	non	non	PROPN
cana-1246	176	25	commutative	commutative	ADJ
cana-1246	176	26	rings	ring	NOUN
cana-1246	176	27	,	,	PUNCT
cana-1246	176	28	analele	analele	ADP
cana-1246	176	29	ştiinţifice	ştiinţifice	NOUN
cana-1246	176	30	ale	ale	NOUN
cana-1246	176	31	universităţii	universităţii	PROPN
cana-1246	176	32	"	"	PUNCT
cana-1246	176	33	ovidius	ovidius	NOUN
cana-1246	176	34	"	"	PUNCT
cana-1246	176	35	constanţa	constanţa	NOUN
cana-1246	176	36	.	.	PUNCT
cana-1246	177	1	seria	seria	PROPN
cana-1246	177	2	matematică	matematică	PROPN
cana-1246	177	3	,	,	PUNCT
cana-1246	177	4	31	31	NUM
cana-1246	177	5	,	,	PUNCT
cana-1246	177	6	2	2	NUM
cana-1246	177	7	,	,	PUNCT
cana-1246	177	8	141	141	NUM
cana-1246	177	9	-	-	SYM
cana-1246	177	10	154	154	NUM
cana-1246	177	11	,	,	PUNCT
cana-1246	177	12	2023	2023	NUM
cana-1246	177	13	.	.	PUNCT
cana-1246	178	1	[	[	X
cana-1246	178	2	20	20	NUM
cana-1246	178	3	]	]	X
cana-1246	178	4	m	m	NOUN
cana-1246	178	5	palanikumar	palanikumar	PROPN
cana-1246	178	6	,	,	PUNCT
cana-1246	178	7	k	k	PROPN
cana-1246	178	8	arulmozhi	arulmozhi	PROPN
cana-1246	178	9	,	,	PUNCT
cana-1246	178	10	c	c	PROPN
cana-1246	178	11	jana	jana	PROPN
cana-1246	178	12	,	,	PUNCT
cana-1246	178	13	m	m	VERB
cana-1246	178	14	pal	pal	ADJ
cana-1246	178	15	,	,	PUNCT
cana-1246	178	16	kp	kp	PROPN
cana-1246	178	17	shum	shum	X
cana-1246	178	18	,	,	PUNCT
cana-1246	178	19	new	new	ADJ
cana-1246	178	20	approach	approach	NOUN
cana-1246	178	21	towards	towards	ADP
cana-1246	178	22	different	different	ADJ
cana-1246	178	23	bi	bi	NOUN
cana-1246	178	24	-	-	NOUN
cana-1246	178	25	base	base	NOUN
cana-1246	178	26	of	of	ADP
cana-1246	178	27	ordered	order	VERB
cana-1246	178	28	bsemiring	bsemiring	NOUN
cana-1246	178	29	,	,	PUNCT
cana-1246	178	30	asian	asian	ADJ
cana-1246	178	31	-	-	PUNCT
cana-1246	178	32	european	european	ADJ
cana-1246	178	33	journal	journal	NOUN
cana-1246	178	34	of	of	ADP
cana-1246	178	35	mathematics	mathematics	PROPN
cana-1246	178	36	16	16	NUM
cana-1246	178	37	(	(	PUNCT
cana-1246	178	38	02	02	NUM
cana-1246	178	39	)	)	PUNCT
cana-1246	178	40	,	,	PUNCT
cana-1246	178	41	2350019	2350019	NUM
cana-1246	178	42	[	[	X
cana-1246	178	43	21	21	NUM
cana-1246	178	44	]	]	PUNCT
cana-1246	178	45	l´aszl´o	l´aszl´o	PROPN
cana-1246	178	46	sz´ekelyhidi	sz´ekelyhidi	NOUN
cana-1246	178	47	,	,	PUNCT
cana-1246	178	48	‘	'	PUNCT
cana-1246	178	49	finite	finite	ADJ
cana-1246	178	50	dimensional	dimensional	ADJ
cana-1246	178	51	varieties	variety	NOUN
cana-1246	178	52	over	over	ADP
cana-1246	178	53	the	the	DET
cana-1246	178	54	heisenberg	heisenberg	PROPN
cana-1246	178	55	group	group	PROPN
cana-1246	178	56	’	'	PUNCT
cana-1246	178	57	,	,	PUNCT
cana-1246	178	58	aequationes	aequatione	NOUN
cana-1246	178	59	mathematicae	mathematicae	PROPN
cana-1246	178	60	,	,	PUNCT
cana-1246	178	61	sep	sep	PROPN
cana-1246	178	62	2022	2022	NUM
cana-1246	178	63	,	,	PUNCT
cana-1246	178	64	97	97	NUM
cana-1246	178	65	(	(	PUNCT
cana-1246	178	66	2023	2023	NUM
cana-1246	178	67	)	)	PUNCT
cana-1246	178	68	,	,	PUNCT
cana-1246	178	69	377–390	377–390	NUM
cana-1246	178	70	[	[	X
cana-1246	178	71	22	22	NUM
cana-1246	178	72	]	]	X
cana-1246	178	73	simran	simran	ADJ
cana-1246	178	74	tinani	tinani	NOUN
cana-1246	178	75	,	,	PUNCT
cana-1246	178	76	‘	'	PUNCT
cana-1246	178	77	on	on	ADP
cana-1246	178	78	conjugacy	conjugacy	ADJ
cana-1246	178	79	search	search	NOUN
cana-1246	178	80	problem	problem	NOUN
cana-1246	178	81	in	in	ADP
cana-1246	178	82	extraspecial	extraspecial	ADJ
cana-1246	178	83	pgroup	pgroup	NOUN
cana-1246	178	84	’	'	PUNCT
cana-1246	178	85	,	,	PUNCT
cana-1246	178	86	cs.cr	cs.cr	ADJ
cana-1246	178	87	,	,	PUNCT
cana-1246	178	88	https://scholar.google.com/citations?view_op=view_citation&hl=en&user=ytxhfviaaaaj&sortby=pubdate&citation_for_view=ytxhfviaaaaj:j3f4tgmqtd8c	https://scholar.google.com/citations?view_op=view_citation&hl=en&user=ytxhfviaaaaj&sortby=pubdate&citation_for_view=ytxhfviaaaaj:j3f4tgmqtd8c	ADJ
cana-1246	178	89	https://scholar.google.com/citations?view_op=view_citation&hl=en&user=ytxhfviaaaaj&sortby=pubdate&citation_for_view=ytxhfviaaaaj:j3f4tgmqtd8c	https://scholar.google.com/citations?view_op=view_citation&hl=en&user=ytxhfviaaaaj&sortby=pubdate&citation_for_view=ytxhfviaaaaj:j3f4tgmqtd8c	VERB
cana-1246	178	90	https://scholar.google.com/citations?view_op=view_citation&hl=en&user=ytxhfviaaaaj&sortby=pubdate&citation_for_view=ytxhfviaaaaj:m3nemzrmikic	https://scholar.google.com/citations?view_op=view_citation&hl=en&user=ytxhfviaaaaj&sortby=pubdate&citation_for_view=ytxhfviaaaaj:m3nemzrmikic	PROPN
cana-1246	178	91	https://scholar.google.com/citations?view_op=view_citation&hl=en&user=ytxhfviaaaaj&sortby=pubdate&citation_for_view=ytxhfviaaaaj:m3nemzrmikic	https://scholar.google.com/citations?view_op=view_citation&hl=en&user=ytxhfviaaaaj&sortby=pubdate&citation_for_view=ytxhfviaaaaj:m3nemzrmikic	NUM
cana-1246	178	92	https://scholar.google.com/citations?view_op=view_citation&hl=en&user=ytxhfviaaaaj&sortby=pubdate&citation_for_view=ytxhfviaaaaj:blknaatinkkc	https://scholar.google.com/citations?view_op=view_citation&hl=en&user=ytxhfviaaaaj&sortby=pubdate&citation_for_view=ytxhfviaaaaj:blknaatinkkc	PROPN
cana-1246	178	93	https://scholar.google.com/citations?view_op=view_citation&hl=en&user=ytxhfviaaaaj&sortby=pubdate&citation_for_view=ytxhfviaaaaj:qxl8fj1gzncc	https://scholar.google.com/citations?view_op=view_citation&hl=en&user=ytxhfviaaaaj&sortby=pubdate&citation_for_view=ytxhfviaaaaj:qxl8fj1gzncc	NOUN
cana-1246	178	94	https://scholar.google.com/citations?view_op=view_citation&hl=en&user=ytxhfviaaaaj&sortby=pubdate&citation_for_view=ytxhfviaaaaj:qxl8fj1gzncc	https://scholar.google.com/citations?view_op=view_citation&hl=en&user=ytxhfviaaaaj&sortby=pubdate&citation_for_view=ytxhfviaaaaj:qxl8fj1gzncc	NOUN