id	sid	tid	token	lemma	pos
cana-1063	1	1	communications	communication	NOUN
cana-1063	1	2	on	on	ADP
cana-1063	1	3	applied	apply	VERB
cana-1063	1	4	nonlinear	nonlinear	ADJ
cana-1063	1	5	analysis	analysis	NOUN
cana-1063	1	6	issn	issn	NOUN
cana-1063	1	7	:	:	PUNCT
cana-1063	1	8	1074	1074	NUM
cana-1063	1	9	-	-	PUNCT
cana-1063	1	10	133x	133x	NUM
cana-1063	1	11	vol	vol	NOUN
cana-1063	1	12	31	31	NUM
cana-1063	1	13	no	no	NOUN
cana-1063	1	14	.	.	PUNCT
cana-1063	2	1	5s	5s	NUM
cana-1063	2	2	(	(	PUNCT
cana-1063	2	3	2024	2024	NUM
cana-1063	2	4	)	)	PUNCT
cana-1063	2	5	440	440	NUM
cana-1063	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1063	3	1	some	some	DET
cana-1063	3	2	results	result	NOUN
cana-1063	3	3	of	of	ADP
cana-1063	3	4	data	datum	NOUN
cana-1063	3	5	encryption	encryption	NOUN
cana-1063	3	6	and	and	CCONJ
cana-1063	3	7	decryption	decryption	NOUN
cana-1063	3	8	using	use	VERB
cana-1063	3	9	euler	euler	NOUN
cana-1063	3	10	’s	’s	PART
cana-1063	3	11	totient	totient	PROPN
cana-1063	3	12	function	function	NOUN
cana-1063	3	13	gobburi	gobburi	PROPN
cana-1063	3	14	rekha1	rekha1	PROPN
cana-1063	3	15	,	,	PUNCT
cana-1063	3	16	v.	v.	ADP
cana-1063	3	17	srinivas2	srinivas2	NOUN
cana-1063	3	18	1	1	NUM
cana-1063	3	19	department	department	NOUN
cana-1063	3	20	of	of	ADP
cana-1063	3	21	humanities	humanity	NOUN
cana-1063	3	22	and	and	CCONJ
cana-1063	3	23	sciences	science	NOUN
cana-1063	3	24	,	,	PUNCT
cana-1063	3	25	malla	malla	PROPN
cana-1063	3	26	reddy	reddy	PROPN
cana-1063	3	27	college	college	PROPN
cana-1063	3	28	of	of	ADP
cana-1063	3	29	engineering	engineering	NOUN
cana-1063	3	30	and	and	CCONJ
cana-1063	3	31	technology	technology	NOUN
cana-1063	3	32	2	2	NUM
cana-1063	3	33	department	department	NOUN
cana-1063	3	34	of	of	ADP
cana-1063	3	35	mathematics	mathematics	PROPN
cana-1063	3	36	,	,	PUNCT
cana-1063	3	37	osmania	osmania	PROPN
cana-1063	3	38	university	university	NOUN
cana-1063	3	39	article	article	NOUN
cana-1063	3	40	history	history	NOUN
cana-1063	3	41	:	:	PUNCT
cana-1063	3	42	received	receive	VERB
cana-1063	3	43	:	:	PUNCT
cana-1063	3	44	10	10	NUM
cana-1063	3	45	-	-	SYM
cana-1063	3	46	05	05	NUM
cana-1063	3	47	-	-	PUNCT
cana-1063	3	48	2024	2024	NUM
cana-1063	3	49	revised	revise	VERB
cana-1063	3	50	:	:	PUNCT
cana-1063	3	51	20	20	NUM
cana-1063	3	52	-	-	SYM
cana-1063	3	53	06	06	NUM
cana-1063	3	54	-	-	PUNCT
cana-1063	3	55	2024	2024	NUM
cana-1063	3	56	accepted	accept	VERB
cana-1063	3	57	:	:	PUNCT
cana-1063	3	58	02	02	NUM
cana-1063	3	59	-	-	PUNCT
cana-1063	3	60	07	07	NUM
cana-1063	3	61	-	-	PUNCT
cana-1063	3	62	2024	2024	NUM
cana-1063	3	63	abstract	abstract	NOUN
cana-1063	3	64	:	:	PUNCT
cana-1063	3	65	in	in	ADP
cana-1063	3	66	this	this	DET
cana-1063	3	67	paper	paper	NOUN
cana-1063	3	68	,	,	PUNCT
cana-1063	3	69	we	we	PRON
cana-1063	3	70	discuss	discuss	VERB
cana-1063	3	71	about	about	ADP
cana-1063	3	72	the	the	DET
cana-1063	3	73	hill	hill	NOUN
cana-1063	3	74	cipher	cipher	ADJ
cana-1063	3	75	cryptosystem	cryptosystem	NOUN
cana-1063	3	76	,	,	PUNCT
cana-1063	3	77	the	the	DET
cana-1063	3	78	rsa	rsa	PROPN
cana-1063	3	79	public	public	ADJ
cana-1063	3	80	-	-	PUNCT
cana-1063	3	81	key	key	NOUN
cana-1063	3	82	cryptosystem	cryptosystem	NOUN
cana-1063	3	83	,	,	PUNCT
cana-1063	3	84	developed	develop	VERB
cana-1063	3	85	by	by	ADP
cana-1063	3	86	rivest	riv	ADJ
cana-1063	3	87	,	,	PUNCT
cana-1063	3	88	shamir	shamir	PROPN
cana-1063	3	89	,	,	PUNCT
cana-1063	3	90	adleman	adleman	NOUN
cana-1063	3	91	for	for	ADP
cana-1063	3	92	text	text	NOUN
cana-1063	3	93	encoding	encoding	NOUN
cana-1063	3	94	and	and	CCONJ
cana-1063	3	95	decoding	decode	VERB
cana-1063	3	96	.	.	PUNCT
cana-1063	4	1	to	to	PART
cana-1063	4	2	encrypt	encrypt	VERB
cana-1063	4	3	and	and	CCONJ
cana-1063	4	4	decrypt	decrypt	VERB
cana-1063	4	5	the	the	DET
cana-1063	4	6	message	message	NOUN
cana-1063	4	7	,	,	PUNCT
cana-1063	4	8	we	we	PRON
cana-1063	4	9	use	use	VERB
cana-1063	4	10	the	the	DET
cana-1063	4	11	euler	euler	NOUN
cana-1063	4	12	phi	phi	NOUN
cana-1063	4	13	-	-	PUNCT
cana-1063	4	14	function	function	NOUN
cana-1063	4	15	,	,	PUNCT
cana-1063	4	16	congruences	congruence	NOUN
cana-1063	4	17	,	,	PUNCT
cana-1063	4	18	and	and	CCONJ
cana-1063	4	19	matrix	matrix	NOUN
cana-1063	4	20	multiplication	multiplication	NOUN
cana-1063	4	21	.	.	PUNCT
cana-1063	5	1	further	far	ADV
cana-1063	5	2	,	,	PUNCT
cana-1063	5	3	we	we	PRON
cana-1063	5	4	employ	employ	VERB
cana-1063	5	5	two	two	NUM
cana-1063	5	6	keys	key	NOUN
cana-1063	5	7	for	for	ADP
cana-1063	5	8	coding	code	VERB
cana-1063	5	9	and	and	CCONJ
cana-1063	5	10	decoding	decode	VERB
cana-1063	5	11	.	.	PUNCT
cana-1063	6	1	introduction	introduction	NOUN
cana-1063	6	2	:	:	PUNCT
cana-1063	6	3	in	in	ADP
cana-1063	6	4	present	present	ADJ
cana-1063	6	5	,	,	PUNCT
cana-1063	6	6	computer	computer	NOUN
cana-1063	6	7	networks	network	NOUN
cana-1063	6	8	,	,	PUNCT
cana-1063	6	9	internet	internet	NOUN
cana-1063	6	10	and	and	CCONJ
cana-1063	6	11	mobile	mobile	NOUN
cana-1063	6	12	communications	communication	NOUN
cana-1063	6	13	are	be	AUX
cana-1063	6	14	important	important	ADJ
cana-1063	6	15	and	and	CCONJ
cana-1063	6	16	inevitable	inevitable	ADJ
cana-1063	6	17	part	part	NOUN
cana-1063	6	18	of	of	ADP
cana-1063	6	19	our	our	PRON
cana-1063	6	20	society	society	NOUN
cana-1063	6	21	and	and	CCONJ
cana-1063	6	22	security	security	NOUN
cana-1063	6	23	of	of	ADP
cana-1063	6	24	information	information	NOUN
cana-1063	6	25	from	from	ADP
cana-1063	6	26	hackers	hacker	NOUN
cana-1063	6	27	is	be	AUX
cana-1063	6	28	a	a	DET
cana-1063	6	29	big	big	ADJ
cana-1063	6	30	task	task	NOUN
cana-1063	6	31	.	.	PUNCT
cana-1063	7	1	one	one	NUM
cana-1063	7	2	of	of	ADP
cana-1063	7	3	the	the	DET
cana-1063	7	4	most	most	ADV
cana-1063	7	5	widely	widely	ADV
cana-1063	7	6	used	use	VERB
cana-1063	7	7	applications	application	NOUN
cana-1063	7	8	for	for	ADP
cana-1063	7	9	information	information	NOUN
cana-1063	7	10	security	security	NOUN
cana-1063	7	11	is	be	AUX
cana-1063	7	12	cryptography	cryptography	NOUN
cana-1063	7	13	.	.	PUNCT
cana-1063	8	1	usually	usually	ADV
cana-1063	8	2	in	in	ADP
cana-1063	8	3	hill	hill	PROPN
cana-1063	8	4	cipher	cipher	ADJ
cana-1063	8	5	there	there	PRON
cana-1063	8	6	are	be	VERB
cana-1063	8	7	two	two	NUM
cana-1063	8	8	keys	key	NOUN
cana-1063	8	9	,	,	PUNCT
cana-1063	8	10	of	of	ADP
cana-1063	8	11	which	which	PRON
cana-1063	8	12	one	one	NUM
cana-1063	8	13	acts	act	VERB
cana-1063	8	14	as	as	ADP
cana-1063	8	15	encryption	encryption	NOUN
cana-1063	8	16	key	key	NOUN
cana-1063	8	17	and	and	CCONJ
cana-1063	8	18	the	the	DET
cana-1063	8	19	other	other	ADJ
cana-1063	8	20	one	one	NUM
cana-1063	8	21	acts	act	NOUN
cana-1063	8	22	as	as	ADP
cana-1063	8	23	decryption	decryption	NOUN
cana-1063	8	24	key	key	NOUN
cana-1063	8	25	.	.	PUNCT
cana-1063	9	1	in	in	ADP
cana-1063	9	2	this	this	DET
cana-1063	9	3	paper	paper	NOUN
cana-1063	9	4	we	we	PRON
cana-1063	9	5	discuss	discuss	VERB
cana-1063	9	6	about	about	ADP
cana-1063	9	7	hill	hill	PROPN
cana-1063	9	8	cipher	cipher	ADJ
cana-1063	9	9	using	use	VERB
cana-1063	9	10	only	only	ADV
cana-1063	9	11	one	one	NUM
cana-1063	9	12	key	key	NOUN
cana-1063	9	13	for	for	ADP
cana-1063	9	14	data	data	NOUN
cana-1063	9	15	encryption	encryption	NOUN
cana-1063	9	16	and	and	CCONJ
cana-1063	9	17	data	datum	NOUN
cana-1063	9	18	decryption	decryption	NOUN
cana-1063	9	19	.	.	PUNCT
cana-1063	10	1	further	far	ADV
cana-1063	10	2	,	,	PUNCT
cana-1063	10	3	we	we	PRON
cana-1063	10	4	extend	extend	VERB
cana-1063	10	5	our	our	PRON
cana-1063	10	6	result	result	NOUN
cana-1063	10	7	with	with	ADP
cana-1063	10	8	dual	dual	ADJ
cana-1063	10	9	encryption	encryption	NOUN
cana-1063	10	10	and	and	CCONJ
cana-1063	10	11	decryption	decryption	NOUN
cana-1063	10	12	process	process	NOUN
cana-1063	10	13	which	which	PRON
cana-1063	10	14	is	be	AUX
cana-1063	10	15	explained	explain	VERB
cana-1063	10	16	by	by	ADP
cana-1063	10	17	using	use	VERB
cana-1063	10	18	the	the	DET
cana-1063	10	19	rsa	rsa	NOUN
cana-1063	10	20	public	public	ADJ
cana-1063	10	21	key	key	ADJ
cana-1063	10	22	cryptosystem	cryptosystem	NOUN
cana-1063	10	23	and	and	CCONJ
cana-1063	10	24	hill	hill	NOUN
cana-1063	10	25	cipher	cipher	ADJ
cana-1063	11	1	and	and	CCONJ
cana-1063	11	2	they	they	PRON
cana-1063	11	3	together	together	ADV
cana-1063	11	4	execute	execute	VERB
cana-1063	11	5	a	a	DET
cana-1063	11	6	powerful	powerful	ADJ
cana-1063	11	7	cryptosystem	cryptosystem	NOUN
cana-1063	11	8	to	to	PART
cana-1063	11	9	secure	secure	VERB
cana-1063	11	10	the	the	DET
cana-1063	11	11	data	datum	NOUN
cana-1063	11	12	.	.	PUNCT
cana-1063	12	1	objectives	objective	NOUN
cana-1063	12	2	:	:	PUNCT
cana-1063	12	3	the	the	DET
cana-1063	12	4	purpose	purpose	NOUN
cana-1063	12	5	of	of	ADP
cana-1063	12	6	this	this	DET
cana-1063	12	7	paper	paper	NOUN
cana-1063	12	8	is	be	AUX
cana-1063	12	9	to	to	PART
cana-1063	12	10	obtain	obtain	VERB
cana-1063	12	11	and	and	CCONJ
cana-1063	12	12	compare	compare	VERB
cana-1063	12	13	the	the	DET
cana-1063	12	14	result	result	NOUN
cana-1063	12	15	of	of	ADP
cana-1063	12	16	data	datum	NOUN
cana-1063	12	17	encryption	encryption	NOUN
cana-1063	12	18	and	and	CCONJ
cana-1063	12	19	data	data	NOUN
cana-1063	12	20	decryption	decryption	NOUN
cana-1063	12	21	using	use	VERB
cana-1063	12	22	:	:	PUNCT
cana-1063	12	23	•	•	ADP
cana-1063	12	24	a	a	DET
cana-1063	12	25	matrix	matrix	NOUN
cana-1063	12	26	which	which	PRON
cana-1063	12	27	is	be	AUX
cana-1063	12	28	invertible	invertible	ADJ
cana-1063	12	29	.	.	PUNCT
cana-1063	13	1	•	•	NUM
cana-1063	13	2	a	a	DET
cana-1063	13	3	matrix	matrix	NOUN
cana-1063	13	4	which	which	PRON
cana-1063	13	5	is	be	AUX
cana-1063	13	6	involutory	involutory	ADJ
cana-1063	13	7	.	.	PUNCT
cana-1063	14	1	•	•	NUM
cana-1063	14	2	an	an	DET
cana-1063	14	3	rsa	rsa	NOUN
cana-1063	14	4	cryptosystem	cryptosystem	NOUN
cana-1063	14	5	which	which	PRON
cana-1063	14	6	is	be	AUX
cana-1063	14	7	applied	apply	VERB
cana-1063	14	8	for	for	ADP
cana-1063	14	9	hill	hill	NOUN
cana-1063	14	10	cipher	cipher	ADJ
cana-1063	14	11	where	where	SCONJ
cana-1063	14	12	the	the	DET
cana-1063	14	13	matrix	matrix	NOUN
cana-1063	14	14	is	be	AUX
cana-1063	14	15	involutory	involutory	NOUN
cana-1063	14	16	.	.	PUNCT
cana-1063	15	1	methods	method	NOUN
cana-1063	15	2	:	:	PUNCT
cana-1063	15	3	using	use	VERB
cana-1063	15	4	hill	hill	NOUN
cana-1063	15	5	cipher	cipher	ADJ
cana-1063	16	1	and	and	CCONJ
cana-1063	16	2	thereafter	thereafter	ADV
cana-1063	16	3	hill	hill	PROPN
cana-1063	16	4	cipher	cipher	PROPN
cana-1063	16	5	rsa	rsa	PROPN
cana-1063	16	6	together	together	ADV
cana-1063	16	7	we	we	PRON
cana-1063	16	8	have	have	AUX
cana-1063	16	9	encrypted	encrypt	VERB
cana-1063	16	10	and	and	CCONJ
cana-1063	16	11	decrypted	decrypt	VERB
cana-1063	16	12	the	the	DET
cana-1063	16	13	data	datum	NOUN
cana-1063	16	14	under	under	ADP
cana-1063	16	15	modulo	modulo	NOUN
cana-1063	16	16	255	255	NUM
cana-1063	16	17	.	.	PUNCT
cana-1063	17	1	results	result	NOUN
cana-1063	17	2	:	:	PUNCT
cana-1063	17	3	the	the	DET
cana-1063	17	4	text	text	NOUN
cana-1063	17	5	message	message	NOUN
cana-1063	17	6	is	be	AUX
cana-1063	17	7	converted	convert	VERB
cana-1063	17	8	to	to	ADP
cana-1063	17	9	coded	code	VERB
cana-1063	17	10	message	message	NOUN
cana-1063	17	11	and	and	CCONJ
cana-1063	17	12	then	then	ADV
cana-1063	17	13	original	original	ADJ
cana-1063	17	14	message	message	NOUN
cana-1063	17	15	is	be	AUX
cana-1063	17	16	retrieved	retrieve	VERB
cana-1063	17	17	by	by	ADP
cana-1063	17	18	using	use	VERB
cana-1063	17	19	the	the	DET
cana-1063	17	20	three	three	NUM
cana-1063	17	21	different	different	ADJ
cana-1063	17	22	techniques	technique	NOUN
cana-1063	17	23	.	.	PUNCT
cana-1063	18	1	conclusions	conclusion	NOUN
cana-1063	18	2	:	:	PUNCT
cana-1063	18	3	as	as	SCONJ
cana-1063	18	4	the	the	DET
cana-1063	18	5	paper	paper	NOUN
cana-1063	18	6	involves	involve	VERB
cana-1063	18	7	two	two	NUM
cana-1063	18	8	stages	stage	NOUN
cana-1063	18	9	of	of	ADP
cana-1063	18	10	encryption	encryption	NOUN
cana-1063	18	11	and	and	CCONJ
cana-1063	18	12	decryption	decryption	NOUN
cana-1063	18	13	where	where	SCONJ
cana-1063	18	14	public	public	ADJ
cana-1063	18	15	key	key	ADJ
cana-1063	18	16	and	and	CCONJ
cana-1063	18	17	private	private	ADJ
cana-1063	18	18	key	key	NOUN
cana-1063	18	19	which	which	PRON
cana-1063	18	20	are	be	AUX
cana-1063	18	21	unthinkable	unthinkable	ADJ
cana-1063	18	22	by	by	ADP
cana-1063	18	23	the	the	DET
cana-1063	18	24	third	third	ADJ
cana-1063	18	25	parities	parity	NOUN
cana-1063	18	26	,	,	PUNCT
cana-1063	18	27	the	the	DET
cana-1063	18	28	security	security	NOUN
cana-1063	18	29	of	of	ADP
cana-1063	18	30	information	information	NOUN
cana-1063	18	31	is	be	AUX
cana-1063	18	32	highly	highly	ADV
cana-1063	18	33	appreciable	appreciable	ADJ
cana-1063	18	34	.	.	PUNCT
cana-1063	19	1	keywords	keyword	NOUN
cana-1063	19	2	:	:	PUNCT
cana-1063	19	3	cryptography	cryptography	NOUN
cana-1063	19	4	,	,	PUNCT
cana-1063	19	5	congruence	congruence	PROPN
cana-1063	19	6	,	,	PUNCT
cana-1063	19	7	euler	euler	NOUN
cana-1063	19	8	-	-	PUNCT
cana-1063	19	9	phi	phi	NOUN
cana-1063	19	10	function	function	NOUN
cana-1063	19	11	,	,	PUNCT
cana-1063	19	12	hill	hill	NOUN
cana-1063	19	13	cipher	cipher	PROPN
cana-1063	19	14	,	,	PUNCT
cana-1063	19	15	rsa	rsa	NOUN
cana-1063	19	16	cryptosystem	cryptosystem	NOUN
cana-1063	19	17	and	and	CCONJ
cana-1063	19	18	matrix	matrix	NOUN
cana-1063	19	19	,	,	PUNCT
cana-1063	19	20	ascii	ascii	NOUN
cana-1063	19	21	code	code	NOUN
cana-1063	19	22	.	.	PUNCT
cana-1063	20	1	1	1	X
cana-1063	20	2	.	.	X
cana-1063	20	3	introduction	introduction	NOUN
cana-1063	20	4	in	in	ADP
cana-1063	20	5	present	present	ADJ
cana-1063	20	6	,	,	PUNCT
cana-1063	20	7	computer	computer	NOUN
cana-1063	20	8	networks	network	NOUN
cana-1063	20	9	,	,	PUNCT
cana-1063	20	10	internet	internet	NOUN
cana-1063	20	11	and	and	CCONJ
cana-1063	20	12	mobile	mobile	NOUN
cana-1063	20	13	communications	communication	NOUN
cana-1063	20	14	are	be	AUX
cana-1063	20	15	important	important	ADJ
cana-1063	20	16	and	and	CCONJ
cana-1063	20	17	inevitable	inevitable	ADJ
cana-1063	20	18	part	part	NOUN
cana-1063	20	19	of	of	ADP
cana-1063	20	20	our	our	PRON
cana-1063	20	21	society	society	NOUN
cana-1063	20	22	and	and	CCONJ
cana-1063	20	23	security	security	NOUN
cana-1063	20	24	of	of	ADP
cana-1063	20	25	information	information	NOUN
cana-1063	20	26	from	from	ADP
cana-1063	20	27	hackers	hacker	NOUN
cana-1063	20	28	is	be	AUX
cana-1063	20	29	a	a	DET
cana-1063	20	30	big	big	ADJ
cana-1063	20	31	task	task	NOUN
cana-1063	20	32	.	.	PUNCT
cana-1063	21	1	one	one	NUM
cana-1063	21	2	of	of	ADP
cana-1063	21	3	the	the	DET
cana-1063	21	4	most	most	ADV
cana-1063	21	5	widely	widely	ADV
cana-1063	21	6	used	use	VERB
cana-1063	21	7	applications	application	NOUN
cana-1063	21	8	for	for	ADP
cana-1063	21	9	information	information	NOUN
cana-1063	21	10	security	security	NOUN
cana-1063	21	11	is	be	AUX
cana-1063	21	12	cryptography	cryptography	NOUN
cana-1063	21	13	.	.	PUNCT
cana-1063	22	1	usually	usually	ADV
cana-1063	22	2	in	in	ADP
cana-1063	22	3	hill	hill	PROPN
cana-1063	22	4	cipher	cipher	ADJ
cana-1063	22	5	there	there	PRON
cana-1063	22	6	are	be	VERB
cana-1063	22	7	two	two	NUM
cana-1063	22	8	keys	key	NOUN
cana-1063	22	9	,	,	PUNCT
cana-1063	22	10	of	of	ADP
cana-1063	22	11	which	which	PRON
cana-1063	22	12	one	one	NUM
cana-1063	22	13	acts	act	VERB
cana-1063	22	14	as	as	ADP
cana-1063	22	15	encryption	encryption	NOUN
cana-1063	22	16	key	key	NOUN
cana-1063	22	17	and	and	CCONJ
cana-1063	22	18	the	the	DET
cana-1063	22	19	other	other	ADJ
cana-1063	22	20	one	one	NUM
cana-1063	22	21	acts	act	NOUN
cana-1063	22	22	as	as	ADP
cana-1063	22	23	decryption	decryption	NOUN
cana-1063	22	24	key	key	NOUN
cana-1063	22	25	.	.	PUNCT
cana-1063	23	1	in	in	ADP
cana-1063	23	2	this	this	DET
cana-1063	23	3	paper	paper	NOUN
cana-1063	23	4	we	we	PRON
cana-1063	23	5	discuss	discuss	VERB
cana-1063	23	6	communications	communication	NOUN
cana-1063	23	7	on	on	ADP
cana-1063	23	8	applied	apply	VERB
cana-1063	23	9	nonlinear	nonlinear	ADJ
cana-1063	23	10	analysis	analysis	NOUN
cana-1063	23	11	issn	issn	NOUN
cana-1063	23	12	:	:	PUNCT
cana-1063	23	13	1074	1074	NUM
cana-1063	23	14	-	-	PUNCT
cana-1063	23	15	133x	133x	NUM
cana-1063	23	16	vol	vol	NOUN
cana-1063	23	17	31	31	NUM
cana-1063	23	18	no	no	NOUN
cana-1063	23	19	.	.	PUNCT
cana-1063	24	1	5s	5s	NUM
cana-1063	24	2	(	(	PUNCT
cana-1063	24	3	2024	2024	NUM
cana-1063	24	4	)	)	PUNCT
cana-1063	24	5	441	441	NUM
cana-1063	24	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1063	24	7	about	about	ADP
cana-1063	24	8	hill	hill	PROPN
cana-1063	24	9	cipher	cipher	ADJ
cana-1063	24	10	using	use	VERB
cana-1063	24	11	only	only	ADV
cana-1063	24	12	one	one	NUM
cana-1063	24	13	key	key	NOUN
cana-1063	24	14	for	for	ADP
cana-1063	24	15	data	data	NOUN
cana-1063	24	16	encryption	encryption	NOUN
cana-1063	24	17	and	and	CCONJ
cana-1063	24	18	data	datum	NOUN
cana-1063	24	19	decryption	decryption	NOUN
cana-1063	24	20	.	.	PUNCT
cana-1063	25	1	further	far	ADV
cana-1063	25	2	,	,	PUNCT
cana-1063	25	3	we	we	PRON
cana-1063	25	4	extend	extend	VERB
cana-1063	25	5	our	our	PRON
cana-1063	25	6	paper	paper	NOUN
cana-1063	25	7	with	with	ADP
cana-1063	25	8	dual	dual	ADJ
cana-1063	25	9	encryption	encryption	NOUN
cana-1063	25	10	and	and	CCONJ
cana-1063	25	11	decryption	decryption	NOUN
cana-1063	25	12	process	process	NOUN
cana-1063	25	13	which	which	PRON
cana-1063	25	14	is	be	AUX
cana-1063	25	15	explained	explain	VERB
cana-1063	25	16	using	use	VERB
cana-1063	25	17	the	the	DET
cana-1063	25	18	rsa	rsa	NOUN
cana-1063	25	19	public	public	ADJ
cana-1063	25	20	key	key	ADJ
cana-1063	25	21	cryptosystem	cryptosystem	NOUN
cana-1063	25	22	and	and	CCONJ
cana-1063	25	23	hill	hill	NOUN
cana-1063	25	24	cipher	cipher	ADJ
cana-1063	25	25	cryptosystem	cryptosystem	NOUN
cana-1063	25	26	which	which	PRON
cana-1063	25	27	together	together	ADV
cana-1063	25	28	execute	execute	VERB
cana-1063	25	29	a	a	DET
cana-1063	25	30	powerful	powerful	ADJ
cana-1063	25	31	cryptosystem	cryptosystem	NOUN
cana-1063	25	32	technique	technique	NOUN
cana-1063	25	33	to	to	PART
cana-1063	25	34	secure	secure	VERB
cana-1063	25	35	the	the	DET
cana-1063	25	36	data	datum	NOUN
cana-1063	25	37	.	.	PUNCT
cana-1063	26	1	this	this	DET
cana-1063	26	2	paper	paper	NOUN
cana-1063	26	3	extends	extend	VERB
cana-1063	26	4	the	the	DET
cana-1063	26	5	result	result	NOUN
cana-1063	26	6	of	of	ADP
cana-1063	26	7	[	[	X
cana-1063	26	8	1	1	NUM
cana-1063	26	9	]	]	PUNCT
cana-1063	26	10	by	by	ADP
cana-1063	26	11	using	use	VERB
cana-1063	26	12	involutory	involutory	ADJ
cana-1063	26	13	matrix	matrix	NOUN
cana-1063	26	14	for	for	ADP
cana-1063	26	15	rsa	rsa	PROPN
cana-1063	26	16	cryptosystem	cryptosystem	NOUN
cana-1063	26	17	.	.	PUNCT
cana-1063	27	1	2	2	X
cana-1063	27	2	.	.	X
cana-1063	27	3	standard	standard	ADJ
cana-1063	27	4	definitions	definition	NOUN
cana-1063	27	5	plain	plain	ADJ
cana-1063	27	6	text	text	NOUN
cana-1063	27	7	:	:	PUNCT
cana-1063	27	8	the	the	DET
cana-1063	27	9	message	message	NOUN
cana-1063	27	10	which	which	PRON
cana-1063	27	11	is	be	AUX
cana-1063	27	12	to	to	PART
cana-1063	27	13	be	be	AUX
cana-1063	27	14	converted	convert	VERB
cana-1063	27	15	for	for	ADP
cana-1063	27	16	the	the	DET
cana-1063	27	17	purpose	purpose	NOUN
cana-1063	27	18	of	of	ADP
cana-1063	27	19	security	security	NOUN
cana-1063	27	20	.	.	PUNCT
cana-1063	28	1	cipher	cipher	ADJ
cana-1063	28	2	text	text	NOUN
cana-1063	28	3	:	:	PUNCT
cana-1063	28	4	the	the	DET
cana-1063	28	5	message	message	NOUN
cana-1063	28	6	which	which	PRON
cana-1063	28	7	is	be	AUX
cana-1063	28	8	in	in	ADP
cana-1063	28	9	unreadable	unreadable	ADJ
cana-1063	28	10	language	language	NOUN
cana-1063	28	11	.	.	PUNCT
cana-1063	29	1	encryption	encryption	NOUN
cana-1063	29	2	:	:	PUNCT
cana-1063	29	3	encryption	encryption	NOUN
cana-1063	29	4	is	be	AUX
cana-1063	29	5	a	a	DET
cana-1063	29	6	form	form	NOUN
cana-1063	29	7	of	of	ADP
cana-1063	29	8	data	datum	NOUN
cana-1063	29	9	security	security	NOUN
cana-1063	29	10	in	in	ADP
cana-1063	29	11	which	which	PRON
cana-1063	29	12	information	information	NOUN
cana-1063	29	13	is	be	AUX
cana-1063	29	14	converted	convert	VERB
cana-1063	29	15	to	to	ADP
cana-1063	29	16	ciphertext	ciphertext	NOUN
cana-1063	29	17	.	.	PUNCT
cana-1063	30	1	decryption	decryption	NOUN
cana-1063	30	2	:	:	PUNCT
cana-1063	30	3	decryption	decryption	NOUN
cana-1063	30	4	is	be	AUX
cana-1063	30	5	the	the	DET
cana-1063	30	6	process	process	NOUN
cana-1063	30	7	of	of	ADP
cana-1063	30	8	converting	convert	VERB
cana-1063	30	9	encrypted	encrypt	VERB
cana-1063	30	10	data	datum	NOUN
cana-1063	30	11	into	into	ADP
cana-1063	30	12	recognizable	recognizable	ADJ
cana-1063	30	13	information	information	NOUN
cana-1063	30	14	.	.	PUNCT
cana-1063	31	1	hill	hill	PROPN
cana-1063	31	2	cipher	cipher	ADJ
cana-1063	31	3	:	:	PUNCT
cana-1063	31	4	invented	invent	VERB
cana-1063	31	5	by	by	ADP
cana-1063	31	6	lester	lester	PROPN
cana-1063	31	7	s.	s.	PROPN
cana-1063	31	8	hill	hill	PROPN
cana-1063	31	9	which	which	PRON
cana-1063	31	10	is	be	AUX
cana-1063	31	11	a	a	DET
cana-1063	31	12	polygrahic	polygrahic	ADJ
cana-1063	31	13	substitution	substitution	NOUN
cana-1063	31	14	cipher	cipher	NOUN
cana-1063	31	15	based	base	VERB
cana-1063	31	16	on	on	ADP
cana-1063	31	17	linear	linear	PROPN
cana-1063	31	18	algebra	algebra	PROPN
cana-1063	31	19	.	.	PUNCT
cana-1063	32	1	involutory	involutory	ADJ
cana-1063	32	2	matrix	matrix	NOUN
cana-1063	32	3	:	:	PUNCT
cana-1063	32	4	any	any	DET
cana-1063	32	5	square	square	ADJ
cana-1063	32	6	matrix	matrix	NOUN
cana-1063	32	7	,	,	PUNCT
cana-1063	32	8	a	a	PRON
cana-1063	32	9	which	which	PRON
cana-1063	32	10	satisfies	satisfy	VERB
cana-1063	32	11	the	the	DET
cana-1063	32	12	condition	condition	NOUN
cana-1063	32	13	𝐴2	𝐴2	NOUN
cana-1063	32	14	=	=	SYM
cana-1063	32	15	𝐼.	𝐼.	PROPN
cana-1063	32	16	linear	linear	PROPN
cana-1063	32	17	congruence	congruence	PROPN
cana-1063	32	18	:	:	PUNCT
cana-1063	32	19	a	a	DET
cana-1063	32	20	linear	linear	ADJ
cana-1063	32	21	congruence	congruence	NOUN
cana-1063	32	22	is	be	AUX
cana-1063	32	23	a	a	DET
cana-1063	32	24	congruence	congruence	NOUN
cana-1063	32	25	relation	relation	NOUN
cana-1063	32	26	of	of	ADP
cana-1063	32	27	the	the	DET
cana-1063	32	28	form	form	NOUN
cana-1063	32	29	ax	ax	X
cana-1063	32	30	≡	≡	PROPN
cana-1063	32	31	b	b	PROPN
cana-1063	32	32	(	(	PUNCT
cana-1063	32	33	mod	mod	PROPN
cana-1063	32	34	m	m	PROPN
cana-1063	32	35	)	)	PUNCT
cana-1063	32	36	where	where	SCONJ
cana-1063	32	37	a	a	DET
cana-1063	32	38	,	,	PUNCT
cana-1063	32	39	b	b	NOUN
cana-1063	32	40	,	,	PUNCT
cana-1063	32	41	m	m	VERB
cana-1063	32	42	∈	∈	NOUN
cana-1063	32	43	𝑍	𝑍	NOUN
cana-1063	32	44	+	+	PROPN
cana-1063	32	45	and	and	CCONJ
cana-1063	32	46	m	m	VERB
cana-1063	32	47	>	>	X
cana-1063	32	48	0	0	X
cana-1063	32	49	.	.	PUNCT
cana-1063	33	1	a	a	DET
cana-1063	33	2	solution	solution	NOUN
cana-1063	33	3	is	be	AUX
cana-1063	33	4	an	an	DET
cana-1063	33	5	integer	integer	NOUN
cana-1063	33	6	x	x	PUNCT
cana-1063	33	7	which	which	PRON
cana-1063	33	8	makes	make	VERB
cana-1063	33	9	the	the	DET
cana-1063	33	10	congruence	congruence	NOUN
cana-1063	33	11	relation	relation	NOUN
cana-1063	33	12	true	true	ADJ
cana-1063	33	13	and	and	CCONJ
cana-1063	33	14	x	x	X
cana-1063	33	15	is	be	AUX
cana-1063	33	16	a	a	DET
cana-1063	33	17	least	least	ADJ
cana-1063	33	18	residue	residue	NOUN
cana-1063	33	19	(	(	PUNCT
cana-1063	33	20	mod	mod	PROPN
cana-1063	33	21	m	m	PROPN
cana-1063	33	22	)	)	PUNCT
cana-1063	33	23	(	(	PUNCT
cana-1063	33	24	that	that	PRON
cana-1063	33	25	is	be	AUX
cana-1063	33	26	,	,	PUNCT
cana-1063	33	27	0	0	NUM
cana-1063	33	28	≤	≤	NUM
cana-1063	33	29	x	x	PUNCT
cana-1063	33	30	≤	≤	ADJ
cana-1063	33	31	m−1	m−1	PROPN
cana-1063	33	32	)	)	PUNCT
cana-1063	33	33	.	.	PUNCT
cana-1063	34	1	rsa	rsa	PROPN
cana-1063	34	2	:	:	PUNCT
cana-1063	34	3	the	the	DET
cana-1063	34	4	rivest	rivest	ADV
cana-1063	34	5	-	-	PUNCT
cana-1063	34	6	shamir	shamir	NOUN
cana-1063	34	7	-	-	PUNCT
cana-1063	34	8	adleman	adleman	ADJ
cana-1063	34	9	(	(	PUNCT
cana-1063	34	10	rsa	rsa	NOUN
cana-1063	34	11	)	)	PUNCT
cana-1063	34	12	encryption	encryption	NOUN
cana-1063	34	13	algorithm	algorithm	NOUN
cana-1063	34	14	is	be	AUX
cana-1063	34	15	an	an	DET
cana-1063	34	16	asymmetric	asymmetric	ADJ
cana-1063	34	17	encryption	encryption	NOUN
cana-1063	34	18	algorithm	algorithm	NOUN
cana-1063	34	19	.	.	PUNCT
cana-1063	35	1	asymmetric	asymmetric	ADJ
cana-1063	35	2	encryption	encryption	NOUN
cana-1063	35	3	uses	use	VERB
cana-1063	35	4	a	a	DET
cana-1063	35	5	key	key	ADJ
cana-1063	35	6	pair	pair	NOUN
cana-1063	35	7	that	that	PRON
cana-1063	35	8	is	be	AUX
cana-1063	35	9	linked	link	VERB
cana-1063	35	10	to	to	PART
cana-1063	35	11	encrypt	encrypt	VERB
cana-1063	35	12	and	and	CCONJ
cana-1063	35	13	decrypt	decrypt	VERB
cana-1063	35	14	data	datum	NOUN
cana-1063	35	15	.	.	PUNCT
cana-1063	36	1	a	a	DET
cana-1063	36	2	public	public	ADJ
cana-1063	36	3	key	key	NOUN
cana-1063	36	4	is	be	AUX
cana-1063	36	5	generated	generate	VERB
cana-1063	36	6	and	and	CCONJ
cana-1063	36	7	made	make	VERB
cana-1063	36	8	available	available	ADJ
cana-1063	36	9	to	to	ADP
cana-1063	36	10	everybody	everybody	PRON
cana-1063	36	11	,	,	PUNCT
cana-1063	36	12	while	while	SCONJ
cana-1063	36	13	the	the	DET
cana-1063	36	14	private	private	ADJ
cana-1063	36	15	key	key	NOUN
cana-1063	36	16	is	be	AUX
cana-1063	36	17	kept	keep	VERB
cana-1063	36	18	confidential	confidential	ADJ
cana-1063	36	19	and	and	CCONJ
cana-1063	36	20	known	know	VERB
cana-1063	36	21	only	only	ADV
cana-1063	36	22	to	to	ADP
cana-1063	36	23	the	the	DET
cana-1063	36	24	person	person	NOUN
cana-1063	36	25	who	who	PRON
cana-1063	36	26	generated	generate	VERB
cana-1063	36	27	the	the	DET
cana-1063	36	28	key	key	ADJ
cana-1063	36	29	pair	pair	NOUN
cana-1063	36	30	.	.	PUNCT
cana-1063	37	1	euler	euler	PROPN
cana-1063	37	2	-phi	-phi	PROPN
cana-1063	37	3	function	function	NOUN
cana-1063	37	4	:	:	PUNCT
cana-1063	37	5	euler	euler	VERB
cana-1063	37	6	’s	’s	PART
cana-1063	37	7	phi	phi	NOUN
cana-1063	37	8	(	(	PUNCT
cana-1063	37	9	or	or	CCONJ
cana-1063	37	10	totient	totient	PROPN
cana-1063	37	11	)	)	PUNCT
cana-1063	37	12	function	function	NOUN
cana-1063	37	13	of	of	ADP
cana-1063	37	14	a	a	DET
cana-1063	37	15	positive	positive	ADJ
cana-1063	37	16	integer	integer	NOUN
cana-1063	37	17	n	n	NUM
cana-1063	37	18	is	be	AUX
cana-1063	37	19	the	the	DET
cana-1063	37	20	number	number	NOUN
cana-1063	37	21	of	of	ADP
cana-1063	37	22	integers	integer	NOUN
cana-1063	37	23	in	in	ADP
cana-1063	37	24	{	{	PUNCT
cana-1063	37	25	1,2	1,2	NUM
cana-1063	37	26	,	,	PUNCT
cana-1063	37	27	3	3	NUM
cana-1063	37	28	...	...	PUNCT
cana-1063	37	29	,	,	PUNCT
cana-1063	37	30	n	n	CCONJ
cana-1063	37	31	}	}	PUNCT
cana-1063	37	32	which	which	PRON
cana-1063	37	33	are	be	AUX
cana-1063	37	34	relatively	relatively	ADV
cana-1063	37	35	prime	prime	ADJ
cana-1063	37	36	to	to	ADP
cana-1063	37	37	n	n	PRON
cana-1063	37	38	which	which	PRON
cana-1063	37	39	is	be	AUX
cana-1063	37	40	denoted	denote	VERB
cana-1063	37	41	∅(𝑛	∅(𝑛	NOUN
cana-1063	37	42	)	)	PUNCT
cana-1063	37	43	.	.	PUNCT
cana-1063	38	1	let	let	VERB
cana-1063	38	2	n	n	PRON
cana-1063	38	3	be	be	AUX
cana-1063	38	4	the	the	DET
cana-1063	38	5	product	product	NOUN
cana-1063	38	6	of	of	ADP
cana-1063	38	7	two	two	NUM
cana-1063	38	8	individual	individual	ADJ
cana-1063	38	9	primes	prime	NOUN
cana-1063	38	10	p	p	NOUN
cana-1063	38	11	and	and	CCONJ
cana-1063	38	12	q.	q.	PROPN
cana-1063	38	13	let	let	VERB
cana-1063	38	14	us	we	PRON
cana-1063	38	15	define	define	VERB
cana-1063	38	16	k	k	PROPN
cana-1063	38	17	=	=	PUNCT
cana-1063	38	18	(	(	PUNCT
cana-1063	38	19	n	n	CCONJ
cana-1063	38	20	,	,	PUNCT
cana-1063	38	21	p	p	X
cana-1063	38	22	,	,	PUNCT
cana-1063	38	23	q	q	ADJ
cana-1063	38	24	,	,	PUNCT
cana-1063	38	25	e	e	NOUN
cana-1063	38	26	,	,	PUNCT
cana-1063	38	27	d):ed≡1(mod(∅(𝑛	d):ed≡1(mod(∅(𝑛	NOUN
cana-1063	38	28	)	)	PUNCT
cana-1063	38	29	)	)	PUNCT
cana-1063	38	30	.	.	PUNCT
cana-1063	39	1	we	we	PRON
cana-1063	39	2	define	define	VERB
cana-1063	39	3	ek(x	ek(x	NOUN
cana-1063	39	4	)	)	PUNCT
cana-1063	39	5	≡	≡	PROPN
cana-1063	39	6	xe(mod	xe(mod	PROPN
cana-1063	39	7	n	n	CCONJ
cana-1063	39	8	)	)	PUNCT
cana-1063	39	9	and	and	CCONJ
cana-1063	39	10	dk(y	dk(y	NOUN
cana-1063	39	11	)	)	PUNCT
cana-1063	39	12	≡	≡	PROPN
cana-1063	39	13	ye(mod	ye(mod	PROPN
cana-1063	39	14	n	n	CCONJ
cana-1063	39	15	)	)	PUNCT
cana-1063	39	16	where	where	SCONJ
cana-1063	39	17	p	p	X
cana-1063	39	18	,	,	PUNCT
cana-1063	39	19	q	q	PUNCT
cana-1063	40	1	and	and	CCONJ
cana-1063	40	2	d	d	NOUN
cana-1063	40	3	are	be	AUX
cana-1063	40	4	used	use	VERB
cana-1063	40	5	as	as	ADP
cana-1063	40	6	public	public	ADJ
cana-1063	40	7	keys	key	NOUN
cana-1063	40	8	.	.	PUNCT
cana-1063	41	1	3	3	X
cana-1063	41	2	.	.	X
cana-1063	41	3	methods	method	NOUN
cana-1063	41	4	in	in	ADP
cana-1063	41	5	this	this	PRON
cana-1063	41	6	we	we	PRON
cana-1063	41	7	discuss	discuss	VERB
cana-1063	41	8	three	three	NUM
cana-1063	41	9	different	different	ADJ
cana-1063	41	10	methods	method	NOUN
cana-1063	41	11	for	for	ADP
cana-1063	41	12	encryption	encryption	NOUN
cana-1063	41	13	and	and	CCONJ
cana-1063	41	14	decryption	decryption	NOUN
cana-1063	41	15	of	of	ADP
cana-1063	41	16	the	the	DET
cana-1063	41	17	data	datum	NOUN
cana-1063	41	18	.	.	PUNCT
cana-1063	42	1	method	method	PROPN
cana-1063	43	1	i	i	PRON
cana-1063	43	2	:	:	PUNCT
cana-1063	43	3	using	use	VERB
cana-1063	43	4	invertible	invertible	ADJ
cana-1063	43	5	matrix	matrix	NOUN
cana-1063	43	6	•	•	ADP
cana-1063	43	7	let	let	VERB
cana-1063	43	8	us	we	PRON
cana-1063	43	9	consider	consider	VERB
cana-1063	43	10	nxn	nxn	PROPN
cana-1063	43	11	invertible	invertible	ADJ
cana-1063	43	12	matrix	matrix	NOUN
cana-1063	43	13	say	say	VERB
cana-1063	43	14	a	a	DET
cana-1063	43	15	in	in	ADP
cana-1063	43	16	which	which	PRON
cana-1063	43	17	the	the	DET
cana-1063	43	18	matrix	matrix	NOUN
cana-1063	43	19	a	a	DET
cana-1063	43	20	acts	act	NOUN
cana-1063	43	21	as	as	ADP
cana-1063	43	22	an	an	DET
cana-1063	43	23	encryption	encryption	NOUN
cana-1063	43	24	key	key	NOUN
cana-1063	43	25	and	and	CCONJ
cana-1063	43	26	its	its	PRON
cana-1063	43	27	inverse	inverse	NOUN
cana-1063	43	28	acts	act	NOUN
cana-1063	43	29	as	as	ADP
cana-1063	43	30	a	a	DET
cana-1063	43	31	decryption	decryption	NOUN
cana-1063	43	32	key	key	NOUN
cana-1063	43	33	.	.	PUNCT
cana-1063	44	1	•	•	PUNCT
cana-1063	44	2	convert	convert	VERB
cana-1063	44	3	the	the	DET
cana-1063	44	4	original	original	ADJ
cana-1063	44	5	plain	plain	ADJ
cana-1063	44	6	text	text	NOUN
cana-1063	44	7	into	into	ADP
cana-1063	44	8	numbers	number	NOUN
cana-1063	44	9	using	use	VERB
cana-1063	44	10	the	the	DET
cana-1063	44	11	ascii	ascii	ADJ
cana-1063	44	12	values	value	NOUN
cana-1063	44	13	and	and	CCONJ
cana-1063	44	14	arrange	arrange	VERB
cana-1063	44	15	the	the	DET
cana-1063	44	16	numbers	number	NOUN
cana-1063	44	17	in	in	ADP
cana-1063	44	18	matrix	matrix	NOUN
cana-1063	44	19	form	form	NOUN
cana-1063	44	20	say	say	VERB
cana-1063	44	21	p.	p.	NOUN
cana-1063	44	22	•	•	NOUN
cana-1063	44	23	let	let	VERB
cana-1063	44	24	e≡ap	e≡ap	PRON
cana-1063	44	25	(	(	PUNCT
cana-1063	44	26	mod	mod	PROPN
cana-1063	44	27	255	255	NUM
cana-1063	44	28	)	)	PUNCT
cana-1063	44	29	.	.	PUNCT
cana-1063	45	1	•	•	NUM
cana-1063	45	2	now	now	ADV
cana-1063	45	3	,	,	PUNCT
cana-1063	45	4	on	on	ADP
cana-1063	45	5	converting	convert	VERB
cana-1063	45	6	the	the	DET
cana-1063	45	7	numbers	number	NOUN
cana-1063	45	8	in	in	ADP
cana-1063	45	9	the	the	DET
cana-1063	45	10	matrix	matrix	NOUN
cana-1063	45	11	e	e	NOUN
cana-1063	45	12	into	into	ADP
cana-1063	45	13	alphabets	alphabet	NOUN
cana-1063	45	14	and	and	CCONJ
cana-1063	45	15	symbols	symbol	NOUN
cana-1063	45	16	we	we	PRON
cana-1063	45	17	get	get	VERB
cana-1063	45	18	the	the	DET
cana-1063	45	19	encrypted	encrypt	VERB
cana-1063	45	20	message	message	NOUN
cana-1063	45	21	which	which	PRON
cana-1063	45	22	is	be	AUX
cana-1063	45	23	to	to	PART
cana-1063	45	24	be	be	AUX
cana-1063	45	25	sent	send	VERB
cana-1063	45	26	.	.	PUNCT
cana-1063	46	1	communications	communication	NOUN
cana-1063	46	2	on	on	ADP
cana-1063	46	3	applied	apply	VERB
cana-1063	46	4	nonlinear	nonlinear	ADJ
cana-1063	46	5	analysis	analysis	NOUN
cana-1063	46	6	issn	issn	NOUN
cana-1063	46	7	:	:	PUNCT
cana-1063	46	8	1074	1074	NUM
cana-1063	46	9	-	-	PUNCT
cana-1063	46	10	133x	133x	NUM
cana-1063	46	11	vol	vol	NOUN
cana-1063	46	12	31	31	NUM
cana-1063	46	13	no	no	NOUN
cana-1063	46	14	.	.	PUNCT
cana-1063	47	1	5s	5s	NUM
cana-1063	47	2	(	(	PUNCT
cana-1063	47	3	2024	2024	NUM
cana-1063	47	4	)	)	PUNCT
cana-1063	47	5	442	442	NUM
cana-1063	47	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1063	47	7	•	•	NOUN
cana-1063	47	8	to	to	PART
cana-1063	47	9	decode	decode	VERB
cana-1063	47	10	the	the	DET
cana-1063	47	11	message	message	NOUN
cana-1063	47	12	which	which	PRON
cana-1063	47	13	is	be	AUX
cana-1063	47	14	sent	send	VERB
cana-1063	47	15	by	by	ADP
cana-1063	47	16	the	the	DET
cana-1063	47	17	sender	sender	NOUN
cana-1063	47	18	,	,	PUNCT
cana-1063	47	19	let	let	VERB
cana-1063	47	20	us	we	PRON
cana-1063	47	21	convert	convert	VERB
cana-1063	47	22	the	the	DET
cana-1063	47	23	alphabets	alphabet	NOUN
cana-1063	47	24	and	and	CCONJ
cana-1063	47	25	symbols	symbol	NOUN
cana-1063	47	26	in	in	ADP
cana-1063	47	27	the	the	DET
cana-1063	47	28	matrix	matrix	NOUN
cana-1063	47	29	e	e	NOUN
cana-1063	47	30	into	into	ADP
cana-1063	47	31	numbers	number	NOUN
cana-1063	47	32	.	.	PUNCT
cana-1063	48	1	•	•	INTJ
cana-1063	48	2	let	let	VERB
cana-1063	48	3	d	d	X
cana-1063	48	4	≡	≡	PROPN
cana-1063	48	5	𝐴−1𝐸	𝐴−1𝐸	PROPN
cana-1063	48	6	(	(	PUNCT
cana-1063	48	7	mod	mod	PROPN
cana-1063	48	8	255	255	NUM
cana-1063	48	9	)	)	PUNCT
cana-1063	48	10	,	,	PUNCT
cana-1063	48	11	we	we	PRON
cana-1063	48	12	get	get	VERB
cana-1063	48	13	the	the	DET
cana-1063	48	14	original	original	ADJ
cana-1063	48	15	plaintext	plaintext	NOUN
cana-1063	48	16	.	.	PUNCT
cana-1063	49	1	method	method	PROPN
cana-1063	49	2	ii	ii	PROPN
cana-1063	49	3	:	:	PUNCT
cana-1063	49	4	using	use	VERB
cana-1063	49	5	involutory	involutory	ADJ
cana-1063	49	6	matrix	matrix	NOUN
cana-1063	49	7	•	•	ADP
cana-1063	49	8	now	now	ADV
cana-1063	49	9	we	we	PRON
cana-1063	49	10	shall	shall	AUX
cana-1063	49	11	continue	continue	VERB
cana-1063	49	12	the	the	DET
cana-1063	49	13	explanation	explanation	NOUN
cana-1063	49	14	of	of	ADP
cana-1063	49	15	encrypting	encrypt	VERB
cana-1063	49	16	and	and	CCONJ
cana-1063	49	17	decrypting	decrypt	VERB
cana-1063	49	18	the	the	DET
cana-1063	49	19	data	datum	NOUN
cana-1063	49	20	by	by	ADP
cana-1063	49	21	using	use	VERB
cana-1063	49	22	an	an	DET
cana-1063	49	23	involutory	involutory	ADJ
cana-1063	49	24	matrix	matrix	NOUN
cana-1063	49	25	where	where	SCONJ
cana-1063	49	26	we	we	PRON
cana-1063	49	27	use	use	VERB
cana-1063	49	28	only	only	ADV
cana-1063	49	29	one	one	NUM
cana-1063	49	30	key	key	NOUN
cana-1063	49	31	for	for	ADP
cana-1063	49	32	encryption	encryption	NOUN
cana-1063	49	33	and	and	CCONJ
cana-1063	49	34	the	the	DET
cana-1063	49	35	same	same	ADJ
cana-1063	49	36	key	key	NOUN
cana-1063	49	37	for	for	ADP
cana-1063	49	38	decryption	decryption	NOUN
cana-1063	49	39	.	.	PUNCT
cana-1063	50	1	•	•	NUM
cana-1063	50	2	let	let	VERB
cana-1063	50	3	us	we	PRON
cana-1063	50	4	consider	consider	VERB
cana-1063	50	5	a	a	DET
cana-1063	50	6	nxn	nxn	PROPN
cana-1063	50	7	involutory	involutory	NOUN
cana-1063	50	8	matrix	matrix	NOUN
cana-1063	50	9	say	say	VERB
cana-1063	50	10	a	a	PRON
cana-1063	50	11	which	which	PRON
cana-1063	50	12	acts	act	VERB
cana-1063	50	13	as	as	ADP
cana-1063	50	14	an	an	DET
cana-1063	50	15	encryption	encryption	NOUN
cana-1063	50	16	and	and	CCONJ
cana-1063	50	17	decryption	decryption	NOUN
cana-1063	50	18	key	key	NOUN
cana-1063	50	19	.	.	PUNCT
cana-1063	51	1	•	•	PUNCT
cana-1063	51	2	convert	convert	VERB
cana-1063	51	3	the	the	DET
cana-1063	51	4	plaintext	plaintext	NOUN
cana-1063	51	5	in	in	ADP
cana-1063	51	6	numbers	number	NOUN
cana-1063	51	7	using	use	VERB
cana-1063	51	8	the	the	DET
cana-1063	51	9	latest	late	ADJ
cana-1063	51	10	ascii	ascii	NOUN
cana-1063	51	11	values	value	NOUN
cana-1063	51	12	and	and	CCONJ
cana-1063	51	13	arrange	arrange	VERB
cana-1063	51	14	the	the	DET
cana-1063	51	15	numbers	number	NOUN
cana-1063	51	16	in	in	ADP
cana-1063	51	17	matrix	matrix	NOUN
cana-1063	51	18	form	form	NOUN
cana-1063	51	19	say	say	VERB
cana-1063	51	20	p.	p.	NOUN
cana-1063	51	21	•	•	NOUN
cana-1063	51	22	let	let	VERB
cana-1063	51	23	e	e	PROPN
cana-1063	51	24	=	=	SYM
cana-1063	51	25	ap	ap	PROPN
cana-1063	51	26	,	,	PUNCT
cana-1063	51	27	adjusting	adjust	VERB
cana-1063	51	28	the	the	DET
cana-1063	51	29	values	value	NOUN
cana-1063	51	30	under	under	ADP
cana-1063	51	31	modulo	modulo	NOUN
cana-1063	51	32	255	255	NUM
cana-1063	51	33	we	we	PRON
cana-1063	51	34	get	get	VERB
cana-1063	51	35	the	the	DET
cana-1063	51	36	encrypted	encrypt	VERB
cana-1063	51	37	message	message	NOUN
cana-1063	51	38	.	.	PUNCT
cana-1063	52	1	•	•	NOUN
cana-1063	52	2	hence	hence	ADV
cana-1063	52	3	,	,	PUNCT
cana-1063	52	4	after	after	ADP
cana-1063	52	5	converting	convert	VERB
cana-1063	52	6	the	the	DET
cana-1063	52	7	numbers	number	NOUN
cana-1063	52	8	in	in	ADP
cana-1063	52	9	e	e	NOUN
cana-1063	52	10	into	into	ADP
cana-1063	52	11	symbols	symbol	NOUN
cana-1063	52	12	under	under	ADP
cana-1063	52	13	the	the	DET
cana-1063	52	14	ascii	ascii	NOUN
cana-1063	52	15	values	value	NOUN
cana-1063	52	16	,	,	PUNCT
cana-1063	52	17	we	we	PRON
cana-1063	52	18	get	get	VERB
cana-1063	52	19	the	the	DET
cana-1063	52	20	cipher	cipher	ADJ
cana-1063	52	21	text	text	NOUN
cana-1063	52	22	.	.	PUNCT
cana-1063	53	1	•	•	NUM
cana-1063	53	2	to	to	PART
cana-1063	53	3	decode	decode	VERB
cana-1063	53	4	the	the	DET
cana-1063	53	5	message	message	NOUN
cana-1063	53	6	let	let	VERB
cana-1063	53	7	us	we	PRON
cana-1063	53	8	write	write	VERB
cana-1063	53	9	e	e	PROPN
cana-1063	53	10	in	in	ADP
cana-1063	53	11	matrix	matrix	NOUN
cana-1063	53	12	form	form	NOUN
cana-1063	53	13	and	and	CCONJ
cana-1063	53	14	multiply	multiply	NOUN
cana-1063	53	15	by	by	ADP
cana-1063	53	16	the	the	DET
cana-1063	53	17	key	key	ADJ
cana-1063	53	18	a.	a.	NOUN
cana-1063	53	19	•	•	NOUN
cana-1063	53	20	let	let	VERB
cana-1063	53	21	d	d	PROPN
cana-1063	53	22	=	=	SYM
cana-1063	53	23	ae	ae	PROPN
cana-1063	53	24	.	.	PUNCT
cana-1063	54	1	since	since	ADV
cana-1063	54	2	,	,	PUNCT
cana-1063	54	3	a	a	PRON
cana-1063	54	4	is	be	AUX
cana-1063	54	5	an	an	DET
cana-1063	54	6	involutory	involutory	ADJ
cana-1063	54	7	matrix	matrix	NOUN
cana-1063	54	8	where	where	SCONJ
cana-1063	54	9	𝐴2	𝐴2	PROPN
cana-1063	54	10	=	=	SYM
cana-1063	54	11	𝐼	𝐼	PROPN
cana-1063	54	12	which	which	PRON
cana-1063	54	13	can	can	AUX
cana-1063	54	14	also	also	ADV
cana-1063	54	15	be	be	AUX
cana-1063	54	16	written	write	VERB
cana-1063	54	17	as	as	ADP
cana-1063	54	18	𝐴	𝐴	PROPN
cana-1063	54	19	=	=	PUNCT
cana-1063	54	20	𝐴−1	𝐴−1	NOUN
cana-1063	54	21	.	.	NOUN
cana-1063	54	22	•	•	NUM
cana-1063	54	23	now	now	ADV
cana-1063	54	24	,	,	PUNCT
cana-1063	54	25	adjusting	adjust	VERB
cana-1063	54	26	the	the	DET
cana-1063	54	27	values	value	NOUN
cana-1063	54	28	of	of	ADP
cana-1063	54	29	d	d	PROPN
cana-1063	54	30	under	under	ADP
cana-1063	54	31	modulo	modulo	NOUN
cana-1063	54	32	255	255	NUM
cana-1063	54	33	we	we	PRON
cana-1063	54	34	can	can	AUX
cana-1063	54	35	retrieve	retrieve	VERB
cana-1063	54	36	the	the	DET
cana-1063	54	37	original	original	ADJ
cana-1063	54	38	text	text	NOUN
cana-1063	54	39	.	.	PUNCT
cana-1063	55	1	method	method	PROPN
cana-1063	55	2	iii	iii	PROPN
cana-1063	55	3	:	:	PUNCT
cana-1063	55	4	dual	dual	ADJ
cana-1063	55	5	encryption	encryption	NOUN
cana-1063	55	6	and	and	CCONJ
cana-1063	55	7	decryption	decryption	NOUN
cana-1063	55	8	of	of	ADP
cana-1063	55	9	data	datum	NOUN
cana-1063	55	10	using	use	VERB
cana-1063	55	11	euler	euler	NOUN
cana-1063	55	12	’s	’s	PART
cana-1063	55	13	totient	totient	PROPN
cana-1063	55	14	function	function	NOUN
cana-1063	55	15	in	in	ADP
cana-1063	55	16	hill	hill	NOUN
cana-1063	55	17	cipher	cipher	ADJ
cana-1063	55	18	•	•	ADV
cana-1063	55	19	let	let	VERB
cana-1063	55	20	us	we	PRON
cana-1063	55	21	consider	consider	VERB
cana-1063	55	22	a	a	DET
cana-1063	55	23	nxn	nxn	PROPN
cana-1063	55	24	involutory	involutory	NOUN
cana-1063	55	25	matrix	matrix	NOUN
cana-1063	55	26	say	say	VERB
cana-1063	55	27	a	a	DET
cana-1063	55	28	such	such	ADJ
cana-1063	55	29	that	that	SCONJ
cana-1063	55	30	𝐴2	𝐴2	PROPN
cana-1063	55	31	=	=	SYM
cana-1063	55	32	𝐼	𝐼	PROPN
cana-1063	55	33	•	•	NUM
cana-1063	55	34	convert	convert	VERB
cana-1063	55	35	the	the	DET
cana-1063	55	36	plaintext	plaintext	NOUN
cana-1063	55	37	in	in	ADP
cana-1063	55	38	numbers	number	NOUN
cana-1063	55	39	using	use	VERB
cana-1063	55	40	the	the	DET
cana-1063	55	41	latest	late	ADJ
cana-1063	55	42	ascii	ascii	NOUN
cana-1063	55	43	values	value	NOUN
cana-1063	55	44	and	and	CCONJ
cana-1063	55	45	arrange	arrange	VERB
cana-1063	55	46	the	the	DET
cana-1063	55	47	numbers	number	NOUN
cana-1063	55	48	in	in	ADP
cana-1063	55	49	matrix	matrix	NOUN
cana-1063	55	50	form	form	NOUN
cana-1063	55	51	say	say	VERB
cana-1063	55	52	p.	p.	NOUN
cana-1063	55	53	•	•	NOUN
cana-1063	55	54	let	let	VERB
cana-1063	55	55	e	e	PROPN
cana-1063	55	56	=	=	SYM
cana-1063	55	57	ap	ap	PROPN
cana-1063	55	58	,	,	PUNCT
cana-1063	55	59	adjusting	adjust	VERB
cana-1063	55	60	the	the	DET
cana-1063	55	61	values	value	NOUN
cana-1063	55	62	under	under	ADP
cana-1063	55	63	modulo	modulo	NOUN
cana-1063	55	64	255	255	NUM
cana-1063	55	65	which	which	PRON
cana-1063	55	66	gives	give	VERB
cana-1063	55	67	the	the	DET
cana-1063	55	68	first	first	ADJ
cana-1063	55	69	stage	stage	NOUN
cana-1063	55	70	of	of	ADP
cana-1063	55	71	encryption	encryption	NOUN
cana-1063	55	72	.	.	PUNCT
cana-1063	56	1	•	•	NUM
cana-1063	56	2	for	for	ADP
cana-1063	56	3	further	further	ADJ
cana-1063	56	4	safety	safety	NOUN
cana-1063	56	5	purpose	purpose	NOUN
cana-1063	56	6	let	let	VERB
cana-1063	56	7	us	we	PRON
cana-1063	56	8	encrypt	encrypt	VERB
cana-1063	56	9	e	e	NOUN
cana-1063	56	10	using	use	VERB
cana-1063	56	11	rsa	rsa	NOUN
cana-1063	56	12	cryptosystem	cryptosystem	NOUN
cana-1063	56	13	we	we	PRON
cana-1063	56	14	define	define	VERB
cana-1063	56	15	ek(x	ek(x	NOUN
cana-1063	56	16	)	)	PUNCT
cana-1063	57	1	≡	≡	PROPN
cana-1063	57	2	xe(mod	xe(mod	PROPN
cana-1063	57	3	n	n	CCONJ
cana-1063	57	4	)	)	PUNCT
cana-1063	57	5	.	.	PUNCT
cana-1063	58	1	•	•	ADP
cana-1063	58	2	to	to	PART
cana-1063	58	3	decrypt	decrypt	VERB
cana-1063	58	4	the	the	DET
cana-1063	58	5	message	message	NOUN
cana-1063	58	6	using	use	VERB
cana-1063	58	7	rsa	rsa	NOUN
cana-1063	58	8	cryptosystem	cryptosystem	NOUN
cana-1063	58	9	we	we	PRON
cana-1063	58	10	define	define	VERB
cana-1063	58	11	dk(y	dk(y	NOUN
cana-1063	58	12	)	)	PUNCT
cana-1063	58	13	≡	≡	PROPN
cana-1063	58	14	ye(mod	ye(mod	PROPN
cana-1063	58	15	n	n	CCONJ
cana-1063	58	16	)	)	PUNCT
cana-1063	58	17	which	which	PRON
cana-1063	58	18	gives	give	VERB
cana-1063	58	19	the	the	DET
cana-1063	58	20	first	first	ADJ
cana-1063	58	21	stage	stage	NOUN
cana-1063	58	22	of	of	ADP
cana-1063	58	23	decryption	decryption	NOUN
cana-1063	58	24	.	.	PUNCT
cana-1063	59	1	•	•	NUM
cana-1063	59	2	arrange	arrange	VERB
cana-1063	59	3	the	the	DET
cana-1063	59	4	above	above	ADV
cana-1063	59	5	decrypted	decrypt	VERB
cana-1063	59	6	codes	code	NOUN
cana-1063	59	7	in	in	ADP
cana-1063	59	8	the	the	DET
cana-1063	59	9	form	form	NOUN
cana-1063	59	10	a	a	DET
cana-1063	59	11	matrix	matrix	NOUN
cana-1063	59	12	say	say	VERB
cana-1063	59	13	m	m	VERB
cana-1063	59	14	and	and	CCONJ
cana-1063	59	15	multiply	multiply	ADV
cana-1063	59	16	by	by	ADP
cana-1063	59	17	𝐴−1	𝐴−1	NOUN
cana-1063	59	18	we	we	PRON
cana-1063	59	19	get	get	VERB
cana-1063	59	20	d.	d.	PROPN
cana-1063	59	21	•	•	NOUN
cana-1063	59	22	on	on	ADP
cana-1063	59	23	adjusting	adjust	VERB
cana-1063	59	24	the	the	DET
cana-1063	59	25	values	value	NOUN
cana-1063	59	26	of	of	ADP
cana-1063	59	27	d	d	PROPN
cana-1063	59	28	under	under	ADP
cana-1063	59	29	modulo	modulo	NOUN
cana-1063	59	30	255	255	NUM
cana-1063	59	31	we	we	PRON
cana-1063	59	32	can	can	AUX
cana-1063	59	33	retrieve	retrieve	VERB
cana-1063	59	34	the	the	DET
cana-1063	59	35	original	original	ADJ
cana-1063	59	36	text	text	NOUN
cana-1063	59	37	.	.	PUNCT
cana-1063	60	1	4	4	X
cana-1063	60	2	.	.	X
cana-1063	60	3	results	result	NOUN
cana-1063	60	4	to	to	PART
cana-1063	60	5	see	see	VERB
cana-1063	60	6	how	how	SCONJ
cana-1063	60	7	the	the	DET
cana-1063	60	8	methodology	methodology	NOUN
cana-1063	60	9	works	work	VERB
cana-1063	60	10	,	,	PUNCT
cana-1063	60	11	let	let	VERB
cana-1063	60	12	us	we	PRON
cana-1063	60	13	consider	consider	VERB
cana-1063	60	14	the	the	DET
cana-1063	60	15	following	follow	VERB
cana-1063	60	16	illustrations	illustration	NOUN
cana-1063	60	17	.	.	PUNCT
cana-1063	61	1	illustration	illustration	NOUN
cana-1063	62	1	i	i	PRON
cana-1063	62	2	:	:	PUNCT
cana-1063	62	3	let	let	VERB
cana-1063	62	4	the	the	DET
cana-1063	62	5	plaintext	plaintext	NOUN
cana-1063	62	6	to	to	PART
cana-1063	62	7	be	be	AUX
cana-1063	62	8	sent	send	VERB
cana-1063	62	9	to	to	ADP
cana-1063	62	10	the	the	DET
cana-1063	62	11	receiver	receiver	NOUN
cana-1063	62	12	by	by	ADP
cana-1063	62	13	the	the	DET
cana-1063	62	14	sender	sender	NOUN
cana-1063	62	15	is	be	AUX
cana-1063	62	16	“	"	PUNCT
cana-1063	62	17	estimation	estimation	NOUN
cana-1063	62	18	”	"	PUNCT
cana-1063	62	19	.	.	PUNCT
cana-1063	63	1	using	use	VERB
cana-1063	63	2	the	the	DET
cana-1063	63	3	ascii	ascii	ADJ
cana-1063	63	4	values	value	NOUN
cana-1063	63	5	convert	convert	VERB
cana-1063	63	6	the	the	DET
cana-1063	63	7	alphabets	alphabet	NOUN
cana-1063	63	8	into	into	ADP
cana-1063	63	9	numbers	number	NOUN
cana-1063	63	10	“	"	PUNCT
cana-1063	63	11	=	=	SYM
cana-1063	63	12	34	34	NUM
cana-1063	63	13	,	,	PUNCT
cana-1063	63	14	e	e	X
cana-1063	63	15	=	=	SYM
cana-1063	63	16	69	69	NUM
cana-1063	63	17	,	,	PUNCT
cana-1063	63	18	s	s	PART
cana-1063	63	19	=	=	NOUN
cana-1063	63	20	115	115	NUM
cana-1063	63	21	,	,	PUNCT
cana-1063	63	22	t	t	NOUN
cana-1063	63	23	=	=	SYM
cana-1063	63	24	116	116	NUM
cana-1063	63	25	,	,	PUNCT
cana-1063	63	26	i	i	PRON
cana-1063	63	27	=	=	NOUN
cana-1063	63	28	105	105	NUM
cana-1063	63	29	,	,	PUNCT
cana-1063	63	30	m	m	AUX
cana-1063	63	31	=	=	NOUN
cana-1063	63	32	109	109	NUM
cana-1063	63	33	,	,	PUNCT
cana-1063	63	34	a	a	DET
cana-1063	63	35	=	=	NOUN
cana-1063	63	36	97	97	NUM
cana-1063	63	37	,	,	PUNCT
cana-1063	63	38	t	t	NOUN
cana-1063	63	39	=	=	SYM
cana-1063	63	40	116	116	NUM
cana-1063	63	41	,	,	PUNCT
cana-1063	63	42	i	i	PRON
cana-1063	63	43	=	=	NOUN
cana-1063	63	44	105	105	NUM
cana-1063	63	45	,	,	PUNCT
cana-1063	63	46	o	o	NOUN
cana-1063	63	47	=	=	SYM
cana-1063	63	48	111	111	NUM
cana-1063	63	49	,	,	PUNCT
cana-1063	63	50	n	n	NOUN
cana-1063	63	51	=	=	SYM
cana-1063	63	52	110	110	NUM
cana-1063	63	53	and	and	CCONJ
cana-1063	63	54	”	"	PUNCT
cana-1063	63	55	=	=	SYM
cana-1063	63	56	34	34	NUM
cana-1063	63	57	.	.	PUNCT
cana-1063	64	1	encryption	encryption	NOUN
cana-1063	64	2	:	:	PUNCT
cana-1063	64	3	let	let	VERB
cana-1063	64	4	p	p	NOUN
cana-1063	64	5	=	=	X
cana-1063	64	6	[	[	PUNCT
cana-1063	64	7	34	34	NUM
cana-1063	64	8	69	69	NUM
cana-1063	64	9	115	115	NUM
cana-1063	64	10	105	105	NUM
cana-1063	64	11	109	109	NUM
cana-1063	64	12	97	97	NUM
cana-1063	64	13	105	105	NUM
cana-1063	64	14	111	111	NUM
cana-1063	64	15	110	110	NUM
cana-1063	64	16	116	116	NUM
cana-1063	64	17	116	116	NUM
cana-1063	64	18	34	34	NUM
cana-1063	64	19	]	]	PUNCT
cana-1063	64	20	.	.	PUNCT
cana-1063	65	1	communications	communication	NOUN
cana-1063	65	2	on	on	ADP
cana-1063	65	3	applied	apply	VERB
cana-1063	65	4	nonlinear	nonlinear	ADJ
cana-1063	65	5	analysis	analysis	NOUN
cana-1063	65	6	issn	issn	NOUN
cana-1063	65	7	:	:	PUNCT
cana-1063	65	8	1074	1074	NUM
cana-1063	65	9	-	-	PUNCT
cana-1063	65	10	133x	133x	NUM
cana-1063	65	11	vol	vol	NOUN
cana-1063	65	12	31	31	NUM
cana-1063	65	13	no	no	NOUN
cana-1063	65	14	.	.	PUNCT
cana-1063	66	1	5s	5s	NUM
cana-1063	66	2	(	(	PUNCT
cana-1063	66	3	2024	2024	NUM
cana-1063	66	4	)	)	PUNCT
cana-1063	66	5	443	443	NUM
cana-1063	66	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1063	66	7	let	let	VERB
cana-1063	66	8	a	a	PRON
cana-1063	66	9	=	=	X
cana-1063	66	10	[	[	PUNCT
cana-1063	66	11	1	1	NUM
cana-1063	66	12	0	0	NUM
cana-1063	66	13	−1	−1	NOUN
cana-1063	66	14	1	1	NUM
cana-1063	66	15	−1	−1	NOUN
cana-1063	66	16	0	0	NUM
cana-1063	66	17	−1	−1	NOUN
cana-1063	66	18	1	1	NUM
cana-1063	66	19	−1	−1	NOUN
cana-1063	66	20	]	]	PUNCT
cana-1063	66	21	be	be	AUX
cana-1063	66	22	an	an	DET
cana-1063	66	23	invertible	invertible	ADJ
cana-1063	66	24	matrix	matrix	NOUN
cana-1063	66	25	.	.	PUNCT
cana-1063	67	1	therefore	therefore	ADV
cana-1063	67	2	,	,	PUNCT
cana-1063	67	3	𝐴−1	𝐴−1	PROPN
cana-1063	67	4	=	=	PUNCT
cana-1063	67	5	[	[	PUNCT
cana-1063	67	6	1	1	NUM
cana-1063	67	7	0	0	NUM
cana-1063	67	8	−1	−1	NOUN
cana-1063	67	9	1	1	NUM
cana-1063	67	10	−1	−1	NOUN
cana-1063	67	11	0	0	NUM
cana-1063	67	12	−1	−1	NOUN
cana-1063	67	13	1	1	NUM
cana-1063	67	14	−1	−1	NOUN
cana-1063	67	15	]	]	PUNCT
cana-1063	67	16	.	.	PUNCT
cana-1063	68	1	let	let	VERB
cana-1063	68	2	e	e	NOUN
cana-1063	68	3	=	=	X
cana-1063	68	4	ap	ap	PROPN
cana-1063	68	5	.	.	PUNCT
cana-1063	69	1	e	e	X
cana-1063	69	2	=	=	PUNCT
cana-1063	70	1	[	[	PUNCT
cana-1063	70	2	1	1	NUM
cana-1063	70	3	0	0	NUM
cana-1063	70	4	−1	−1	NOUN
cana-1063	70	5	1	1	NUM
cana-1063	70	6	−1	−1	NOUN
cana-1063	70	7	0	0	NUM
cana-1063	70	8	−1	−1	NOUN
cana-1063	70	9	1	1	NUM
cana-1063	70	10	−1	−1	NOUN
cana-1063	70	11	]	]	PUNCT
cana-1063	71	1	[	[	PUNCT
cana-1063	71	2	34	34	NUM
cana-1063	71	3	69	69	NUM
cana-1063	71	4	115	115	NUM
cana-1063	71	5	105	105	NUM
cana-1063	71	6	109	109	NUM
cana-1063	71	7	97	97	NUM
cana-1063	71	8	105	105	NUM
cana-1063	71	9	111	111	NUM
cana-1063	71	10	110	110	NUM
cana-1063	71	11	116	116	NUM
cana-1063	71	12	116	116	NUM
cana-1063	71	13	34	34	NUM
cana-1063	71	14	]	]	PUNCT
cana-1063	71	15	.	.	PUNCT
cana-1063	72	1	e	e	PROPN
cana-1063	72	2	≡	≡	PROPN
cana-1063	72	3	[	[	PUNCT
cana-1063	72	4	−71	−71	NOUN
cana-1063	72	5	−42	−42	ADP
cana-1063	72	6	5	5	NUM
cana-1063	72	7	−71	−71	NOUN
cana-1063	72	8	−40	−40	NOUN
cana-1063	72	9	18	18	NUM
cana-1063	72	10	−34	−34	NOUN
cana-1063	72	11	−71	−71	NOUN
cana-1063	72	12	−128	−128	NOUN
cana-1063	72	13	82	82	NUM
cana-1063	72	14	0	0	NUM
cana-1063	72	15	−34	−34	NOUN
cana-1063	72	16	]	]	PUNCT
cana-1063	72	17	(	(	PUNCT
cana-1063	72	18	mod	mod	NOUN
cana-1063	72	19	255	255	NUM
cana-1063	72	20	)	)	PUNCT
cana-1063	72	21	.	.	PUNCT
cana-1063	73	1	e	e	X
cana-1063	74	1	=	=	NOUN
cana-1063	74	2	ap	ap	PROPN
cana-1063	74	3	=	=	PUNCT
cana-1063	75	1	[	[	PUNCT
cana-1063	75	2	184	184	NUM
cana-1063	75	3	213	213	NUM
cana-1063	75	4	5	5	NUM
cana-1063	75	5	184	184	NUM
cana-1063	75	6	215	215	NUM
cana-1063	75	7	18	18	NUM
cana-1063	75	8	221	221	NUM
cana-1063	75	9	184	184	NUM
cana-1063	75	10	127	127	NUM
cana-1063	75	11	82	82	NUM
cana-1063	75	12	0	0	NUM
cana-1063	75	13	221	221	NUM
cana-1063	75	14	]	]	PUNCT
cana-1063	75	15	.	.	PUNCT
cana-1063	76	1	on	on	ADP
cana-1063	76	2	converting	convert	VERB
cana-1063	76	3	the	the	DET
cana-1063	76	4	numbers	number	NOUN
cana-1063	76	5	in	in	ADP
cana-1063	76	6	matrix	matrix	NOUN
cana-1063	76	7	e	e	NOUN
cana-1063	76	8	into	into	ADP
cana-1063	76	9	symbols	symbol	NOUN
cana-1063	76	10	we	we	PRON
cana-1063	76	11	get	get	VERB
cana-1063	76	12	¸õenqr¸×dc2	¸õenqr¸×dc2	ADP
cana-1063	76	13	nulý¸delý	nulý¸delý	NOUN
cana-1063	76	14	which	which	PRON
cana-1063	76	15	acts	act	VERB
cana-1063	76	16	as	as	ADP
cana-1063	76	17	the	the	DET
cana-1063	76	18	cipher	cipher	ADJ
cana-1063	76	19	text	text	NOUN
cana-1063	76	20	.	.	PUNCT
cana-1063	77	1	decryption	decryption	NOUN
cana-1063	77	2	:	:	PUNCT
cana-1063	77	3	let	let	VERB
cana-1063	77	4	the	the	DET
cana-1063	77	5	cipher	cipher	ADJ
cana-1063	77	6	text	text	NOUN
cana-1063	77	7	be	be	AUX
cana-1063	77	8	transformed	transform	VERB
cana-1063	77	9	into	into	ADP
cana-1063	77	10	numbers	number	NOUN
cana-1063	77	11	under	under	ADP
cana-1063	77	12	the	the	DET
cana-1063	77	13	ascii	ascii	ADJ
cana-1063	77	14	values	value	NOUN
cana-1063	77	15	.	.	PUNCT
cana-1063	78	1	let	let	VERB
cana-1063	79	1	e	e	NOUN
cana-1063	80	1	=	=	PRON
cana-1063	81	1	[	[	PUNCT
cana-1063	81	2	184	184	NUM
cana-1063	81	3	213	213	NUM
cana-1063	81	4	5	5	NUM
cana-1063	81	5	184	184	NUM
cana-1063	81	6	215	215	NUM
cana-1063	81	7	18	18	NUM
cana-1063	81	8	221	221	NUM
cana-1063	81	9	184	184	NUM
cana-1063	81	10	127	127	NUM
cana-1063	81	11	82	82	NUM
cana-1063	81	12	0	0	NUM
cana-1063	81	13	221	221	NUM
cana-1063	81	14	]	]	PUNCT
cana-1063	81	15	.	.	PUNCT
cana-1063	82	1	now	now	ADV
cana-1063	82	2	let	let	VERB
cana-1063	82	3	d	d	PROPN
cana-1063	82	4	=	=	SYM
cana-1063	82	5	𝐴−1e	𝐴−1e	PROPN
cana-1063	82	6	.	.	PUNCT
cana-1063	83	1	d	d	X
cana-1063	83	2	=	=	PUNCT
cana-1063	84	1	[	[	PUNCT
cana-1063	84	2	1	1	NUM
cana-1063	84	3	0	0	NUM
cana-1063	84	4	−1	−1	NOUN
cana-1063	84	5	1	1	NUM
cana-1063	84	6	−1	−1	NOUN
cana-1063	84	7	0	0	NUM
cana-1063	84	8	−1	−1	NOUN
cana-1063	84	9	1	1	NUM
cana-1063	84	10	−1	−1	NOUN
cana-1063	84	11	]	]	PUNCT
cana-1063	85	1	[	[	PUNCT
cana-1063	85	2	184	184	NUM
cana-1063	85	3	213	213	NUM
cana-1063	85	4	5	5	NUM
cana-1063	85	5	184	184	NUM
cana-1063	85	6	215	215	NUM
cana-1063	85	7	18	18	NUM
cana-1063	85	8	221	221	NUM
cana-1063	85	9	184	184	NUM
cana-1063	85	10	127	127	NUM
cana-1063	85	11	82	82	NUM
cana-1063	85	12	0	0	NUM
cana-1063	85	13	221	221	NUM
cana-1063	85	14	]	]	PUNCT
cana-1063	85	15	.	.	PUNCT
cana-1063	86	1	d	d	X
cana-1063	86	2	≡	≡	PROPN
cana-1063	86	3	[	[	PUNCT
cana-1063	86	4	−221	−221	NOUN
cana-1063	86	5	−186	−186	VERB
cana-1063	86	6	−140	−140	PROPN
cana-1063	86	7	−405	−405	PROPN
cana-1063	86	8	−401	−401	PROPN
cana-1063	86	9	−158	−158	PROPN
cana-1063	86	10	−405	−405	PROPN
cana-1063	86	11	−399	−399	PROPN
cana-1063	86	12	−145	−145	PROPN
cana-1063	86	13	−139	−139	PROPN
cana-1063	86	14	−139	−139	PROPN
cana-1063	86	15	−221	−221	NOUN
cana-1063	86	16	]	]	PUNCT
cana-1063	86	17	(	(	PUNCT
cana-1063	86	18	mod	mod	PROPN
cana-1063	86	19	255	255	NUM
cana-1063	86	20	)	)	PUNCT
cana-1063	86	21	.	.	PUNCT
cana-1063	87	1	d	d	NOUN
cana-1063	87	2	=	=	PUNCT
cana-1063	88	1	[	[	PUNCT
cana-1063	88	2	34	34	NUM
cana-1063	88	3	69	69	NUM
cana-1063	88	4	115	115	NUM
cana-1063	88	5	105	105	NUM
cana-1063	88	6	109	109	NUM
cana-1063	88	7	97	97	NUM
cana-1063	88	8	105	105	NUM
cana-1063	88	9	111	111	NUM
cana-1063	88	10	110	110	NUM
cana-1063	88	11	116	116	NUM
cana-1063	88	12	116	116	NUM
cana-1063	88	13	34	34	NUM
cana-1063	88	14	]	]	PUNCT
cana-1063	88	15	.	.	PUNCT
cana-1063	89	1	the	the	DET
cana-1063	89	2	matrix	matrix	NOUN
cana-1063	89	3	d	d	NOUN
cana-1063	89	4	is	be	AUX
cana-1063	89	5	same	same	ADJ
cana-1063	89	6	as	as	ADP
cana-1063	89	7	that	that	PRON
cana-1063	89	8	of	of	ADP
cana-1063	89	9	matrix	matrix	NOUN
cana-1063	89	10	p.	p.	NOUN
cana-1063	89	11	therefore	therefore	ADV
cana-1063	89	12	,	,	PUNCT
cana-1063	89	13	on	on	ADP
cana-1063	89	14	converting	convert	VERB
cana-1063	89	15	the	the	DET
cana-1063	89	16	numbers	number	NOUN
cana-1063	89	17	of	of	ADP
cana-1063	89	18	matrix	matrix	NOUN
cana-1063	89	19	d	d	NOUN
cana-1063	89	20	into	into	ADP
cana-1063	89	21	alphabets	alphabet	NOUN
cana-1063	89	22	we	we	PRON
cana-1063	89	23	get	get	VERB
cana-1063	89	24	the	the	DET
cana-1063	89	25	message	message	NOUN
cana-1063	89	26	as	as	ADP
cana-1063	89	27	“	"	PUNCT
cana-1063	89	28	estimation	estimation	NOUN
cana-1063	89	29	”	"	PUNCT
cana-1063	89	30	.	.	PUNCT
cana-1063	90	1	illustration	illustration	NOUN
cana-1063	90	2	2	2	NUM
cana-1063	90	3	:	:	PUNCT
cana-1063	90	4	let	let	VERB
cana-1063	90	5	the	the	DET
cana-1063	90	6	message	message	NOUN
cana-1063	90	7	to	to	PART
cana-1063	90	8	be	be	AUX
cana-1063	90	9	sent	send	VERB
cana-1063	90	10	is	be	AUX
cana-1063	90	11	“	"	PUNCT
cana-1063	90	12	taste	taste	NOUN
cana-1063	90	13	of	of	ADP
cana-1063	90	14	life	life	NOUN
cana-1063	90	15	”	"	PUNCT
cana-1063	90	16	using	use	VERB
cana-1063	90	17	the	the	DET
cana-1063	90	18	ascii	ascii	ADJ
cana-1063	90	19	values	value	NOUN
cana-1063	90	20	covert	covert	VERB
cana-1063	90	21	the	the	DET
cana-1063	90	22	alphabets	alphabet	NOUN
cana-1063	90	23	into	into	ADP
cana-1063	90	24	numbers	number	NOUN
cana-1063	90	25	as	as	ADP
cana-1063	90	26	“	"	PUNCT
cana-1063	90	27	=	=	SYM
cana-1063	90	28	34	34	NUM
cana-1063	90	29	,	,	PUNCT
cana-1063	90	30	t	t	NOUN
cana-1063	90	31	=	=	SYM
cana-1063	90	32	84	84	NUM
cana-1063	90	33	,	,	PUNCT
cana-1063	90	34	a	a	DET
cana-1063	90	35	=	=	SYM
cana-1063	90	36	97	97	NUM
cana-1063	90	37	,	,	PUNCT
cana-1063	90	38	s	s	PART
cana-1063	90	39	=	=	NOUN
cana-1063	90	40	115	115	NUM
cana-1063	90	41	,	,	PUNCT
cana-1063	90	42	t	t	NOUN
cana-1063	90	43	=	=	SYM
cana-1063	90	44	116	116	NUM
cana-1063	90	45	,	,	PUNCT
cana-1063	90	46	e	e	X
cana-1063	90	47	=	=	SYM
cana-1063	90	48	101	101	NUM
cana-1063	90	49	,	,	PUNCT
cana-1063	90	50	space	space	NOUN
cana-1063	90	51	=	=	SYM
cana-1063	90	52	32	32	NUM
cana-1063	90	53	,	,	PUNCT
cana-1063	90	54	o	o	NOUN
cana-1063	90	55	=	=	SYM
cana-1063	90	56	111	111	NUM
cana-1063	90	57	,	,	PUNCT
cana-1063	90	58	f	f	PROPN
cana-1063	90	59	=	=	SYM
cana-1063	90	60	102	102	NUM
cana-1063	90	61	,	,	PUNCT
cana-1063	90	62	space	space	NOUN
cana-1063	90	63	=	=	SYM
cana-1063	90	64	32	32	NUM
cana-1063	90	65	,	,	PUNCT
cana-1063	91	1	l	l	NOUN
cana-1063	91	2	=	=	SYM
cana-1063	91	3	108	108	NUM
cana-1063	91	4	,	,	PUNCT
cana-1063	91	5	i	i	PRON
cana-1063	91	6	=	=	PROPN
cana-1063	91	7	105	105	NUM
cana-1063	91	8	,	,	PUNCT
cana-1063	91	9	f	f	PROPN
cana-1063	91	10	=	=	SYM
cana-1063	91	11	102	102	NUM
cana-1063	91	12	,	,	PUNCT
cana-1063	91	13	e	e	X
cana-1063	91	14	=	=	SYM
cana-1063	91	15	101	101	NUM
cana-1063	91	16	and’’=34	and’’=34	NOUN
cana-1063	91	17	.	.	PUNCT
cana-1063	92	1	communications	communication	NOUN
cana-1063	92	2	on	on	ADP
cana-1063	92	3	applied	apply	VERB
cana-1063	92	4	nonlinear	nonlinear	ADJ
cana-1063	92	5	analysis	analysis	NOUN
cana-1063	92	6	issn	issn	NOUN
cana-1063	92	7	:	:	PUNCT
cana-1063	92	8	1074	1074	NUM
cana-1063	92	9	-	-	PUNCT
cana-1063	92	10	133x	133x	NUM
cana-1063	92	11	vol	vol	NOUN
cana-1063	92	12	31	31	NUM
cana-1063	92	13	no	no	NOUN
cana-1063	92	14	.	.	PUNCT
cana-1063	93	1	5s	5s	NUM
cana-1063	93	2	(	(	PUNCT
cana-1063	93	3	2024	2024	NUM
cana-1063	93	4	)	)	PUNCT
cana-1063	93	5	444	444	NUM
cana-1063	93	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1063	93	7	encryption	encryption	NOUN
cana-1063	93	8	:	:	PUNCT
cana-1063	93	9	let	let	VERB
cana-1063	93	10	p	p	NOUN
cana-1063	93	11	=	=	X
cana-1063	93	12	[	[	PUNCT
cana-1063	93	13	34	34	NUM
cana-1063	93	14	84	84	NUM
cana-1063	93	15	97	97	NUM
cana-1063	93	16	101	101	NUM
cana-1063	93	17	32	32	NUM
cana-1063	93	18	111	111	NUM
cana-1063	93	19	108	108	NUM
cana-1063	93	20	105	105	NUM
cana-1063	93	21	102	102	NUM
cana-1063	93	22	115	115	NUM
cana-1063	93	23	116	116	NUM
cana-1063	93	24	102	102	NUM
cana-1063	93	25	32	32	NUM
cana-1063	93	26	101	101	NUM
cana-1063	93	27	34	34	NUM
cana-1063	93	28	]	]	PUNCT
cana-1063	93	29	let	let	VERB
cana-1063	93	30	a	a	PRON
cana-1063	93	31	=	=	X
cana-1063	93	32	[	[	PUNCT
cana-1063	93	33	−5	−5	NOUN
cana-1063	93	34	−8	−8	X
cana-1063	93	35	0	0	NUM
cana-1063	93	36	3	3	NUM
cana-1063	93	37	5	5	NUM
cana-1063	93	38	0	0	NUM
cana-1063	93	39	1	1	NUM
cana-1063	93	40	2	2	NUM
cana-1063	93	41	−1	−1	NOUN
cana-1063	93	42	]	]	PUNCT
cana-1063	93	43	be	be	AUX
cana-1063	93	44	an	an	DET
cana-1063	93	45	involutory	involutory	ADJ
cana-1063	93	46	matrix	matrix	NOUN
cana-1063	93	47	such	such	ADJ
cana-1063	93	48	that	that	SCONJ
cana-1063	93	49	𝐴2	𝐴2	PROPN
cana-1063	93	50	=	=	SYM
cana-1063	93	51	𝐼.	𝐼.	PROPN
cana-1063	93	52	𝐴2	𝐴2	PROPN
cana-1063	93	53	=	=	PUNCT
cana-1063	93	54	[	[	PUNCT
cana-1063	93	55	−5	−5	NOUN
cana-1063	93	56	−8	−8	X
cana-1063	93	57	0	0	NUM
cana-1063	93	58	3	3	NUM
cana-1063	93	59	5	5	NUM
cana-1063	93	60	0	0	NUM
cana-1063	93	61	1	1	NUM
cana-1063	93	62	2	2	NUM
cana-1063	93	63	−1	−1	NOUN
cana-1063	93	64	]	]	PUNCT
cana-1063	93	65	[	[	PUNCT
cana-1063	93	66	−5	−5	NOUN
cana-1063	93	67	−8	−8	X
cana-1063	93	68	0	0	NUM
cana-1063	93	69	3	3	NUM
cana-1063	93	70	5	5	NUM
cana-1063	93	71	0	0	NUM
cana-1063	93	72	1	1	NUM
cana-1063	93	73	2	2	NUM
cana-1063	93	74	−1	−1	NOUN
cana-1063	93	75	]	]	PUNCT
cana-1063	94	1	=	=	PUNCT
cana-1063	95	1	[	[	PUNCT
cana-1063	95	2	1	1	NUM
cana-1063	95	3	0	0	NUM
cana-1063	95	4	0	0	NUM
cana-1063	95	5	0	0	NUM
cana-1063	95	6	1	1	NUM
cana-1063	95	7	0	0	NUM
cana-1063	95	8	0	0	NUM
cana-1063	95	9	0	0	NUM
cana-1063	95	10	1	1	NUM
cana-1063	95	11	]	]	PUNCT
cana-1063	95	12	.	.	PUNCT
cana-1063	96	1	therefore	therefore	ADV
cana-1063	96	2	e	e	X
cana-1063	96	3	=	=	SYM
cana-1063	96	4	ad	ad	NOUN
cana-1063	96	5	e	e	NOUN
cana-1063	96	6	=	=	PUNCT
cana-1063	96	7	[	[	PUNCT
cana-1063	96	8	−5	−5	NOUN
cana-1063	96	9	−8	−8	X
cana-1063	96	10	0	0	NUM
cana-1063	96	11	3	3	NUM
cana-1063	96	12	5	5	NUM
cana-1063	96	13	0	0	NUM
cana-1063	96	14	1	1	NUM
cana-1063	96	15	2	2	NUM
cana-1063	96	16	−1	−1	NOUN
cana-1063	96	17	]	]	PUNCT
cana-1063	96	18	[	[	PUNCT
cana-1063	96	19	34	34	NUM
cana-1063	96	20	84	84	NUM
cana-1063	96	21	97	97	NUM
cana-1063	96	22	101	101	NUM
cana-1063	96	23	32	32	NUM
cana-1063	96	24	111	111	NUM
cana-1063	96	25	108	108	NUM
cana-1063	96	26	105	105	NUM
cana-1063	96	27	102	102	NUM
cana-1063	96	28	115	115	NUM
cana-1063	96	29	116	116	NUM
cana-1063	96	30	102	102	NUM
cana-1063	96	31	32	32	NUM
cana-1063	96	32	101	101	NUM
cana-1063	96	33	34	34	NUM
cana-1063	96	34	]	]	PUNCT
cana-1063	96	35	e	e	X
cana-1063	97	1	=	=	PRON
cana-1063	97	2	[	[	PUNCT
cana-1063	97	3	−978	−978	X
cana-1063	97	4	−676	−676	X
cana-1063	97	5	−1373	−1373	PROPN
cana-1063	97	6	607	607	NUM
cana-1063	97	7	412	412	NUM
cana-1063	97	8	846	846	NUM
cana-1063	97	9	128	128	NUM
cana-1063	97	10	43	43	NUM
cana-1063	97	11	217	217	NUM
cana-1063	97	12	−1391	−1391	PROPN
cana-1063	97	13	−836	−836	VERB
cana-1063	97	14	855	855	NUM
cana-1063	97	15	508	508	NUM
cana-1063	97	16	218	218	NUM
cana-1063	97	17	146	146	NUM
cana-1063	97	18	]	]	PUNCT
cana-1063	97	19	.	.	PUNCT
cana-1063	98	1	adjusting	adjust	VERB
cana-1063	98	2	the	the	DET
cana-1063	98	3	values	value	NOUN
cana-1063	98	4	under	under	ADP
cana-1063	98	5	modulo	modulo	NOUN
cana-1063	98	6	255	255	NUM
cana-1063	98	7	.	.	PUNCT
cana-1063	99	1	e	e	PROPN
cana-1063	99	2	≡	≡	PROPN
cana-1063	99	3	[	[	PUNCT
cana-1063	99	4	−978	−978	X
cana-1063	99	5	−676	−676	X
cana-1063	99	6	−1373	−1373	PROPN
cana-1063	99	7	607	607	NUM
cana-1063	99	8	412	412	NUM
cana-1063	99	9	846	846	NUM
cana-1063	99	10	128	128	NUM
cana-1063	99	11	43	43	NUM
cana-1063	99	12	217	217	NUM
cana-1063	99	13	−1391	−1391	PROPN
cana-1063	99	14	−836	−836	VERB
cana-1063	99	15	855	855	NUM
cana-1063	99	16	508	508	NUM
cana-1063	99	17	218	218	NUM
cana-1063	99	18	146	146	NUM
cana-1063	99	19	]	]	PUNCT
cana-1063	99	20	(	(	PUNCT
cana-1063	99	21	under	under	ADP
cana-1063	99	22	mod	mod	PROPN
cana-1063	99	23	255	255	NUM
cana-1063	99	24	)	)	PUNCT
cana-1063	99	25	.	.	PUNCT
cana-1063	100	1	we	we	PRON
cana-1063	100	2	get	get	VERB
cana-1063	100	3	e	e	NOUN
cana-1063	100	4	=	=	PRON
cana-1063	101	1	[	[	PUNCT
cana-1063	101	2	42	42	NUM
cana-1063	101	3	89	89	NUM
cana-1063	101	4	157	157	NUM
cana-1063	101	5	97	97	NUM
cana-1063	101	6	157	157	NUM
cana-1063	101	7	81	81	NUM
cana-1063	101	8	128	128	NUM
cana-1063	101	9	43	43	NUM
cana-1063	101	10	217	217	NUM
cana-1063	101	11	139	139	NUM
cana-1063	101	12	184	184	NUM
cana-1063	101	13	90	90	NUM
cana-1063	101	14	253	253	NUM
cana-1063	101	15	218	218	NUM
cana-1063	101	16	146	146	NUM
cana-1063	101	17	]	]	PUNCT
cana-1063	101	18	.	.	PUNCT
cana-1063	102	1	on	on	ADP
cana-1063	102	2	converting	convert	VERB
cana-1063	102	3	the	the	DET
cana-1063	102	4	numbers	number	NOUN
cana-1063	102	5	in	in	ADP
cana-1063	102	6	e	e	NOUN
cana-1063	102	7	into	into	ADP
cana-1063	102	8	alphabets	alphabet	NOUN
cana-1063	102	9	we	we	PRON
cana-1063	102	10	get	get	VERB
cana-1063	102	11	*	*	PUNCT
cana-1063	102	12	y	y	PROPN
cana-1063	102	13	�	�	PROPN
cana-1063	102	14	‹¸a	‹¸a	PROPN
cana-1063	102	15	�	�	PROPN
cana-1063	102	16	qzý€+ùú	qzý€+ùú	PROPN
cana-1063	102	17	’	'	PUNCT
cana-1063	102	18	which	which	PRON
cana-1063	102	19	acts	act	VERB
cana-1063	102	20	as	as	ADP
cana-1063	102	21	cipher	cipher	ADJ
cana-1063	102	22	text	text	NOUN
cana-1063	102	23	.	.	PUNCT
cana-1063	103	1	decryption	decryption	NOUN
cana-1063	103	2	:	:	PUNCT
cana-1063	103	3	let	let	VERB
cana-1063	103	4	the	the	DET
cana-1063	103	5	cipher	cipher	ADJ
cana-1063	103	6	text	text	NOUN
cana-1063	103	7	be	be	AUX
cana-1063	103	8	transformed	transform	VERB
cana-1063	103	9	again	again	ADV
cana-1063	103	10	into	into	ADP
cana-1063	103	11	numbers	number	NOUN
cana-1063	103	12	under	under	ADP
cana-1063	103	13	the	the	DET
cana-1063	103	14	ascii	ascii	ADJ
cana-1063	103	15	values	value	NOUN
cana-1063	103	16	.	.	PUNCT
cana-1063	104	1	let	let	VERB
cana-1063	104	2	e	e	NOUN
cana-1063	104	3	=	=	PUNCT
cana-1063	104	4	[	[	PUNCT
cana-1063	104	5	42	42	NUM
cana-1063	104	6	89	89	NUM
cana-1063	104	7	157	157	NUM
cana-1063	104	8	97	97	NUM
cana-1063	104	9	157	157	NUM
cana-1063	104	10	81	81	NUM
cana-1063	104	11	128	128	NUM
cana-1063	104	12	43	43	NUM
cana-1063	104	13	217	217	NUM
cana-1063	104	14	139	139	NUM
cana-1063	104	15	184	184	NUM
cana-1063	104	16	90	90	NUM
cana-1063	104	17	253	253	NUM
cana-1063	104	18	218	218	NUM
cana-1063	104	19	146	146	NUM
cana-1063	104	20	]	]	PUNCT
cana-1063	104	21	.	.	PUNCT
cana-1063	105	1	now	now	ADV
cana-1063	105	2	let	let	VERB
cana-1063	105	3	d	d	PROPN
cana-1063	105	4	=	=	SYM
cana-1063	105	5	ae	ae	PROPN
cana-1063	105	6	.	.	PUNCT
cana-1063	106	1	d	d	X
cana-1063	106	2	=	=	PUNCT
cana-1063	107	1	[	[	PUNCT
cana-1063	107	2	−5	−5	NOUN
cana-1063	107	3	−8	−8	X
cana-1063	107	4	0	0	NUM
cana-1063	107	5	3	3	NUM
cana-1063	107	6	5	5	NUM
cana-1063	107	7	0	0	NUM
cana-1063	107	8	1	1	NUM
cana-1063	107	9	2	2	NUM
cana-1063	107	10	−1	−1	NOUN
cana-1063	107	11	]	]	PUNCT
cana-1063	107	12	[	[	PUNCT
cana-1063	107	13	42	42	NUM
cana-1063	107	14	89	89	NUM
cana-1063	107	15	157	157	NUM
cana-1063	107	16	97	97	NUM
cana-1063	107	17	157	157	NUM
cana-1063	107	18	81	81	NUM
cana-1063	107	19	128	128	NUM
cana-1063	107	20	43	43	NUM
cana-1063	107	21	217	217	NUM
cana-1063	107	22	139	139	NUM
cana-1063	107	23	184	184	NUM
cana-1063	107	24	90	90	NUM
cana-1063	107	25	253	253	NUM
cana-1063	107	26	218	218	NUM
cana-1063	107	27	146	146	NUM
cana-1063	107	28	]	]	PUNCT
cana-1063	107	29	.	.	PUNCT
cana-1063	108	1	d	d	X
cana-1063	108	2	≡	≡	PROPN
cana-1063	108	3	[	[	PUNCT
cana-1063	108	4	−986	−986	ADJ
cana-1063	108	5	−1701	−1701	NOUN
cana-1063	108	6	−1433	−1433	PROPN
cana-1063	108	7	611	611	NUM
cana-1063	108	8	1052	1052	NUM
cana-1063	108	9	876	876	NUM
cana-1063	108	10	108	108	NUM
cana-1063	108	11	360	360	NUM
cana-1063	108	12	102	102	NUM
cana-1063	108	13	−1415	−1415	ADJ
cana-1063	108	14	−2944	−2944	NOUN
cana-1063	108	15	867	867	NUM
cana-1063	108	16	1817	1817	NUM
cana-1063	108	17	101	101	NUM
cana-1063	108	18	544	544	NUM
cana-1063	108	19	]	]	PUNCT
cana-1063	108	20	(	(	PUNCT
cana-1063	108	21	under	under	ADP
cana-1063	108	22	mod	mod	PROPN
cana-1063	108	23	255	255	NUM
cana-1063	108	24	)	)	PUNCT
cana-1063	108	25	.	.	PUNCT
cana-1063	109	1	d	d	NOUN
cana-1063	109	2	=	=	PUNCT
cana-1063	110	1	[	[	PUNCT
cana-1063	110	2	34	34	NUM
cana-1063	110	3	84	84	NUM
cana-1063	110	4	97	97	NUM
cana-1063	110	5	101	101	NUM
cana-1063	110	6	32	32	NUM
cana-1063	110	7	111	111	NUM
cana-1063	110	8	108	108	NUM
cana-1063	110	9	105	105	NUM
cana-1063	110	10	102	102	NUM
cana-1063	110	11	115	115	NUM
cana-1063	110	12	116	116	NUM
cana-1063	110	13	102	102	NUM
cana-1063	110	14	32	32	NUM
cana-1063	110	15	101	101	NUM
cana-1063	110	16	34	34	NUM
cana-1063	110	17	]	]	PUNCT
cana-1063	110	18	.	.	PUNCT
cana-1063	111	1	on	on	ADP
cana-1063	111	2	converting	convert	VERB
cana-1063	111	3	the	the	DET
cana-1063	111	4	numbers	number	NOUN
cana-1063	111	5	of	of	ADP
cana-1063	111	6	matrix	matrix	NOUN
cana-1063	111	7	d	d	NOUN
cana-1063	111	8	into	into	ADP
cana-1063	111	9	alphabets	alphabet	NOUN
cana-1063	111	10	we	we	PRON
cana-1063	111	11	get	get	VERB
cana-1063	111	12	the	the	DET
cana-1063	111	13	message	message	NOUN
cana-1063	111	14	as	as	ADP
cana-1063	111	15	“	"	PUNCT
cana-1063	111	16	taste	taste	NOUN
cana-1063	111	17	of	of	ADP
cana-1063	111	18	life	life	NOUN
cana-1063	111	19	”	"	PUNCT
cana-1063	111	20	.	.	PUNCT
cana-1063	112	1	illustration3	illustration3	ADV
cana-1063	112	2	:	:	PUNCT
cana-1063	112	3	we	we	PRON
cana-1063	112	4	continue	continue	VERB
cana-1063	112	5	the	the	DET
cana-1063	112	6	result	result	NOUN
cana-1063	112	7	by	by	ADP
cana-1063	112	8	applying	apply	VERB
cana-1063	112	9	hill	hill	NOUN
cana-1063	112	10	cipher	cipher	ADJ
cana-1063	112	11	and	and	CCONJ
cana-1063	112	12	rsa	rsa	PROPN
cana-1063	112	13	cryptosystem	cryptosystem	NOUN
cana-1063	112	14	simultaneously	simultaneously	ADV
cana-1063	112	15	.	.	PUNCT
cana-1063	113	1	now	now	ADV
cana-1063	113	2	let	let	VERB
cana-1063	113	3	us	we	PRON
cana-1063	113	4	discuss	discuss	VERB
cana-1063	113	5	the	the	DET
cana-1063	113	6	illustration	illustration	NOUN
cana-1063	113	7	which	which	PRON
cana-1063	113	8	includes	include	VERB
cana-1063	113	9	dual	dual	ADJ
cana-1063	113	10	encryption	encryption	NOUN
cana-1063	113	11	and	and	CCONJ
cana-1063	113	12	decryption	decryption	NOUN
cana-1063	113	13	of	of	ADP
cana-1063	113	14	involutory	involutory	ADJ
cana-1063	113	15	matrix	matrix	NOUN
cana-1063	113	16	using	use	VERB
cana-1063	113	17	euler	euler	NOUN
cana-1063	113	18	totient	totient	PROPN
cana-1063	113	19	function	function	NOUN
cana-1063	113	20	.	.	PUNCT
cana-1063	114	1	communications	communication	NOUN
cana-1063	114	2	on	on	ADP
cana-1063	114	3	applied	apply	VERB
cana-1063	114	4	nonlinear	nonlinear	ADJ
cana-1063	114	5	analysis	analysis	NOUN
cana-1063	114	6	issn	issn	NOUN
cana-1063	114	7	:	:	PUNCT
cana-1063	114	8	1074	1074	NUM
cana-1063	114	9	-	-	PUNCT
cana-1063	114	10	133x	133x	NUM
cana-1063	114	11	vol	vol	NOUN
cana-1063	114	12	31	31	NUM
cana-1063	114	13	no	no	NOUN
cana-1063	114	14	.	.	PUNCT
cana-1063	115	1	5s	5s	NUM
cana-1063	115	2	(	(	PUNCT
cana-1063	115	3	2024	2024	NUM
cana-1063	115	4	)	)	PUNCT
cana-1063	115	5	445	445	NUM
cana-1063	115	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1063	115	7	step	step	NOUN
cana-1063	115	8	1	1	NUM
cana-1063	115	9	:	:	PUNCT
cana-1063	115	10	let	let	VERB
cana-1063	115	11	a	a	PRON
cana-1063	115	12	be	be	AUX
cana-1063	115	13	a	a	DET
cana-1063	115	14	square	square	ADJ
cana-1063	115	15	matrix	matrix	NOUN
cana-1063	115	16	of	of	ADP
cana-1063	115	17	order	order	NOUN
cana-1063	115	18	3x3	3x3	NUM
cana-1063	115	19	which	which	PRON
cana-1063	115	20	is	be	AUX
cana-1063	115	21	an	an	DET
cana-1063	115	22	involutory	involutory	ADJ
cana-1063	115	23	matrix	matrix	NOUN
cana-1063	115	24	.	.	PUNCT
cana-1063	116	1	let	let	VERB
cana-1063	116	2	a	a	PRON
cana-1063	116	3	=	=	X
cana-1063	116	4	[	[	PUNCT
cana-1063	116	5	4	4	NUM
cana-1063	116	6	3	3	NUM
cana-1063	116	7	3	3	NUM
cana-1063	116	8	−1	−1	NOUN
cana-1063	116	9	0	0	NUM
cana-1063	116	10	−1	−1	NOUN
cana-1063	116	11	−4	−4	X
cana-1063	117	1	−4	−4	X
cana-1063	117	2	−3	−3	X
cana-1063	117	3	]	]	PUNCT
cana-1063	117	4	then	then	ADV
cana-1063	117	5	a2	a2	PROPN
cana-1063	117	6	=	=	PUNCT
cana-1063	118	1	[	[	PUNCT
cana-1063	118	2	4	4	NUM
cana-1063	118	3	3	3	NUM
cana-1063	118	4	3	3	NUM
cana-1063	118	5	−1	−1	NOUN
cana-1063	118	6	0	0	NUM
cana-1063	118	7	−1	−1	NOUN
cana-1063	118	8	−4	−4	X
cana-1063	118	9	−4	−4	X
cana-1063	118	10	−3	−3	X
cana-1063	118	11	]	]	X
cana-1063	119	1	[	[	PUNCT
cana-1063	119	2	4	4	NUM
cana-1063	119	3	3	3	NUM
cana-1063	119	4	3	3	NUM
cana-1063	119	5	−1	−1	NOUN
cana-1063	119	6	0	0	NUM
cana-1063	119	7	−1	−1	NOUN
cana-1063	119	8	−4	−4	X
cana-1063	119	9	−4	−4	X
cana-1063	119	10	−3	−3	X
cana-1063	119	11	]	]	PUNCT
cana-1063	120	1	=[	=[	NOUN
cana-1063	120	2	1	1	NUM
cana-1063	120	3	0	0	NUM
cana-1063	120	4	0	0	NUM
cana-1063	120	5	0	0	NUM
cana-1063	120	6	1	1	NUM
cana-1063	120	7	0	0	NUM
cana-1063	120	8	0	0	NUM
cana-1063	120	9	0	0	NUM
cana-1063	120	10	1	1	NUM
cana-1063	120	11	]	]	PUNCT
cana-1063	120	12	.	.	PUNCT
cana-1063	121	1	step	step	NOUN
cana-1063	121	2	2	2	NUM
cana-1063	121	3	:	:	PUNCT
cana-1063	121	4	transform	transform	VERB
cana-1063	121	5	each	each	DET
cana-1063	121	6	plaintext	plaintext	NOUN
cana-1063	121	7	into	into	ADP
cana-1063	121	8	a	a	DET
cana-1063	121	9	column	column	NOUN
cana-1063	121	10	vector	vector	NOUN
cana-1063	121	11	b	b	PROPN
cana-1063	121	12	by	by	ADP
cana-1063	121	13	taking	take	VERB
cana-1063	121	14	the	the	DET
cana-1063	121	15	ascii	ascii	ADJ
cana-1063	121	16	values	value	NOUN
cana-1063	121	17	.	.	PUNCT
cana-1063	122	1	let	let	VERB
cana-1063	122	2	us	we	PRON
cana-1063	122	3	consider	consider	VERB
cana-1063	122	4	the	the	DET
cana-1063	122	5	message	message	NOUN
cana-1063	122	6	to	to	PART
cana-1063	122	7	be	be	AUX
cana-1063	122	8	encrypted	encrypt	VERB
cana-1063	122	9	as	as	ADP
cana-1063	122	10	now	now	ADV
cana-1063	122	11	or	or	CCONJ
cana-1063	122	12	never	never	ADV
cana-1063	122	13	.	.	PUNCT
cana-1063	123	1	p	p	X
cana-1063	124	1	=	=	NOUN
cana-1063	124	2	78	78	NUM
cana-1063	124	3	111	111	NUM
cana-1063	124	4	119	119	NUM
cana-1063	124	5	32	32	NUM
cana-1063	124	6	111	111	NUM
cana-1063	124	7	114	114	NUM
cana-1063	124	8	32	32	NUM
cana-1063	124	9	78	78	NUM
cana-1063	124	10	101	101	NUM
cana-1063	124	11	118	118	NUM
cana-1063	124	12	101	101	NUM
cana-1063	124	13	114	114	NUM
cana-1063	124	14	which	which	PRON
cana-1063	124	15	is	be	AUX
cana-1063	124	16	written	write	VERB
cana-1063	124	17	in	in	ADP
cana-1063	124	18	matrix	matrix	NOUN
cana-1063	124	19	form	form	NOUN
cana-1063	124	20	as	as	ADP
cana-1063	124	21	p	p	NOUN
cana-1063	124	22	=	=	X
cana-1063	124	23	[	[	PUNCT
cana-1063	124	24	78	78	NUM
cana-1063	124	25	111	111	NUM
cana-1063	124	26	119	119	NUM
cana-1063	124	27	111	111	NUM
cana-1063	124	28	114	114	NUM
cana-1063	124	29	32	32	NUM
cana-1063	124	30	101	101	NUM
cana-1063	124	31	118	118	NUM
cana-1063	124	32	101	101	NUM
cana-1063	124	33	32	32	NUM
cana-1063	124	34	78	78	NUM
cana-1063	124	35	114	114	NUM
cana-1063	124	36	]	]	PUNCT
cana-1063	124	37	.	.	PUNCT
cana-1063	125	1	𝟏𝒔𝒕	𝟏𝒔𝒕	ADJ
cana-1063	125	2	stage	stage	NOUN
cana-1063	125	3	of	of	ADP
cana-1063	125	4	encryption	encryption	NOUN
cana-1063	125	5	step	step	NOUN
cana-1063	125	6	3	3	NUM
cana-1063	125	7	:	:	PUNCT
cana-1063	125	8	to	to	PART
cana-1063	125	9	encrypt	encrypt	VERB
cana-1063	125	10	the	the	DET
cana-1063	125	11	message	message	NOUN
cana-1063	125	12	,	,	PUNCT
cana-1063	125	13	multiply	multiply	VERB
cana-1063	125	14	the	the	DET
cana-1063	125	15	plaintext	plaintext	NOUN
cana-1063	125	16	matrix	matrix	NOUN
cana-1063	125	17	p	p	NOUN
cana-1063	125	18	by	by	ADP
cana-1063	125	19	matrix	matrix	NOUN
cana-1063	125	20	a	a	PRON
cana-1063	125	21	to	to	PART
cana-1063	125	22	form	form	VERB
cana-1063	125	23	the	the	DET
cana-1063	125	24	matrix	matrix	NOUN
cana-1063	125	25	e	e	NOUN
cana-1063	125	26	=	=	PUNCT
cana-1063	126	1	[	[	X
cana-1063	126	2	ap	ap	X
cana-1063	126	3	]	]	X
cana-1063	126	4	(	(	PUNCT
cana-1063	126	5	modulo	modulo	PROPN
cana-1063	126	6	255	255	NUM
cana-1063	126	7	)	)	PUNCT
cana-1063	126	8	.	.	PUNCT
cana-1063	127	1	e	e	X
cana-1063	127	2	=	=	NOUN
cana-1063	127	3	ap	ap	PROPN
cana-1063	128	1	=	=	PUNCT
cana-1063	129	1	[	[	PUNCT
cana-1063	129	2	4	4	NUM
cana-1063	129	3	3	3	NUM
cana-1063	129	4	3	3	NUM
cana-1063	129	5	−1	−1	NOUN
cana-1063	129	6	0	0	NUM
cana-1063	129	7	−1	−1	NOUN
cana-1063	129	8	−4	−4	X
cana-1063	129	9	−4	−4	X
cana-1063	129	10	−3	−3	X
cana-1063	129	11	]	]	X
cana-1063	130	1	[	[	PUNCT
cana-1063	130	2	78	78	NUM
cana-1063	130	3	111	111	NUM
cana-1063	130	4	119	119	NUM
cana-1063	130	5	111	111	NUM
cana-1063	130	6	114	114	NUM
cana-1063	130	7	32	32	NUM
cana-1063	130	8	101	101	NUM
cana-1063	130	9	118	118	NUM
cana-1063	130	10	101	101	NUM
cana-1063	130	11	32	32	NUM
cana-1063	130	12	78	78	NUM
cana-1063	130	13	114	114	NUM
cana-1063	130	14	]	]	PUNCT
cana-1063	130	15	.	.	PUNCT
cana-1063	131	1	e	e	X
cana-1063	131	2	≡	≡	PROPN
cana-1063	131	3	[	[	PUNCT
cana-1063	131	4	948	948	NUM
cana-1063	131	5	1140	1140	NUM
cana-1063	131	6	875	875	NUM
cana-1063	131	7	−179	−179	PROPN
cana-1063	131	8	−229	−229	NOUN
cana-1063	131	9	−220	−220	NOUN
cana-1063	131	10	−1059	−1059	PROPN
cana-1063	131	11	−1254	−1254	PROPN
cana-1063	131	12	−907	−907	PROPN
cana-1063	131	13	704	704	NUM
cana-1063	131	14	−146	−146	PROPN
cana-1063	131	15	−782	−782	NOUN
cana-1063	131	16	]	]	PUNCT
cana-1063	131	17	(	(	PUNCT
cana-1063	131	18	mod	mod	PROPN
cana-1063	131	19	255	255	NUM
cana-1063	131	20	)	)	PUNCT
cana-1063	131	21	.	.	PUNCT
cana-1063	132	1	e	e	X
cana-1063	133	1	=	=	PUNCT
cana-1063	134	1	[	[	PUNCT
cana-1063	134	2	183	183	NUM
cana-1063	134	3	120	120	NUM
cana-1063	134	4	110	110	NUM
cana-1063	134	5	76	76	NUM
cana-1063	134	6	26	26	NUM
cana-1063	134	7	35	35	NUM
cana-1063	134	8	216	216	NUM
cana-1063	134	9	21	21	NUM
cana-1063	134	10	113	113	NUM
cana-1063	134	11	194	194	NUM
cana-1063	134	12	109	109	NUM
cana-1063	134	13	238	238	NUM
cana-1063	134	14	]	]	PUNCT
cana-1063	134	15	.	.	PUNCT
cana-1063	135	1	step	step	NOUN
cana-1063	135	2	4	4	NUM
cana-1063	135	3	:	:	PUNCT
cana-1063	135	4	for	for	ADP
cana-1063	135	5	further	further	ADJ
cana-1063	135	6	safety	safety	NOUN
cana-1063	135	7	we	we	PRON
cana-1063	135	8	will	will	AUX
cana-1063	135	9	code	code	VERB
cana-1063	135	10	the	the	DET
cana-1063	135	11	cipher	cipher	ADJ
cana-1063	135	12	text	text	NOUN
cana-1063	135	13	e	e	NOUN
cana-1063	135	14	into	into	ADP
cana-1063	135	15	another	another	DET
cana-1063	135	16	text	text	NOUN
cana-1063	135	17	with	with	ADP
cana-1063	135	18	the	the	DET
cana-1063	135	19	help	help	NOUN
cana-1063	135	20	of	of	ADP
cana-1063	135	21	euler	euler	NOUN
cana-1063	135	22	-phi	-phi	PROPN
cana-1063	135	23	function	function	NOUN
cana-1063	135	24	:	:	PUNCT
cana-1063	136	1	e	e	X
cana-1063	136	2	=	=	PUNCT
cana-1063	137	1	[	[	PUNCT
cana-1063	137	2	183	183	NUM
cana-1063	137	3	120	120	NUM
cana-1063	137	4	110	110	NUM
cana-1063	137	5	76	76	NUM
cana-1063	137	6	26	26	NUM
cana-1063	137	7	35	35	NUM
cana-1063	137	8	216	216	NUM
cana-1063	137	9	21	21	NUM
cana-1063	137	10	113	113	NUM
cana-1063	137	11	194	194	NUM
cana-1063	137	12	109	109	NUM
cana-1063	137	13	238	238	NUM
cana-1063	137	14	]	]	PUNCT
cana-1063	137	15	.	.	PUNCT
cana-1063	138	1	𝟐𝒏𝒅	𝟐𝒏𝒅	ADJ
cana-1063	138	2	stage	stage	NOUN
cana-1063	138	3	of	of	ADP
cana-1063	138	4	encryption	encryption	NOUN
cana-1063	138	5	now	now	ADV
cana-1063	138	6	we	we	PRON
cana-1063	138	7	use	use	VERB
cana-1063	138	8	rsa	rsa	PROPN
cana-1063	138	9	encoding	encoding	NOUN
cana-1063	138	10	system	system	NOUN
cana-1063	138	11	in	in	ADP
cana-1063	138	12	the	the	DET
cana-1063	138	13	matrix	matrix	NOUN
cana-1063	138	14	e	e	NOUN
cana-1063	138	15	e=	e=	X
cana-1063	138	16	(	(	PUNCT
cana-1063	138	17	183	183	NUM
cana-1063	138	18	120	120	NUM
cana-1063	138	19	110	110	NUM
cana-1063	138	20	194	194	NUM
cana-1063	138	21	76	76	NUM
cana-1063	138	22	26	26	NUM
cana-1063	138	23	35	35	NUM
cana-1063	138	24	109	109	NUM
cana-1063	138	25	216	216	NUM
cana-1063	138	26	21	21	NUM
cana-1063	138	27	113	113	NUM
cana-1063	138	28	238	238	NUM
cana-1063	138	29	)	)	PUNCT
cana-1063	138	30	.	.	PUNCT
cana-1063	139	1	for	for	ADP
cana-1063	139	2	further	further	ADJ
cana-1063	139	3	safety	safety	NOUN
cana-1063	139	4	let	let	VERB
cana-1063	139	5	us	we	PRON
cana-1063	139	6	consider	consider	VERB
cana-1063	139	7	three	three	NUM
cana-1063	139	8	primes	prime	NOUN
cana-1063	139	9	where	where	SCONJ
cana-1063	139	10	n	n	NOUN
cana-1063	139	11	=	=	SYM
cana-1063	140	1	p	p	PROPN
cana-1063	140	2	*	*	PUNCT
cana-1063	140	3	q	q	NOUN
cana-1063	140	4	*	*	PUNCT
cana-1063	140	5	r	r	NOUN
cana-1063	140	6	let	let	VERB
cana-1063	140	7	p	p	NOUN
cana-1063	140	8	=	=	NOUN
cana-1063	140	9	11	11	NUM
cana-1063	140	10	,	,	PUNCT
cana-1063	140	11	q	q	NOUN
cana-1063	141	1	=	=	SYM
cana-1063	141	2	13	13	NUM
cana-1063	141	3	,	,	PUNCT
cana-1063	141	4	r=	r=	NOUN
cana-1063	141	5	17	17	NUM
cana-1063	141	6	where	where	SCONJ
cana-1063	141	7	n	n	NOUN
cana-1063	141	8	=	=	SYM
cana-1063	141	9	2431	2431	NUM
cana-1063	141	10	therefore	therefore	ADV
cana-1063	141	11	,	,	PUNCT
cana-1063	141	12	∅(n	∅(n	PROPN
cana-1063	141	13	)	)	PUNCT
cana-1063	142	1	=	=	PUNCT
cana-1063	142	2	(	(	PUNCT
cana-1063	142	3	p	p	NOUN
cana-1063	142	4	−	−	PROPN
cana-1063	142	5	1	1	NUM
cana-1063	142	6	)	)	PUNCT
cana-1063	142	7	∗	∗	NOUN
cana-1063	142	8	(	(	PUNCT
cana-1063	142	9	q	q	NOUN
cana-1063	142	10	−	−	PROPN
cana-1063	142	11	1	1	NUM
cana-1063	142	12	)	)	PUNCT
cana-1063	142	13	∗	∗	NOUN
cana-1063	142	14	(	(	PUNCT
cana-1063	142	15	r	r	NOUN
cana-1063	142	16	−	−	PROPN
cana-1063	142	17	1	1	NUM
cana-1063	142	18	)	)	PUNCT
cana-1063	142	19	.	.	PUNCT
cana-1063	143	1	=	=	PUNCT
cana-1063	144	1	10.12.16	10.12.16	NUM
cana-1063	145	1	=	=	NUM
cana-1063	145	2	1920	1920	NUM
cana-1063	145	3	.	.	PUNCT
cana-1063	146	1	≡1921	≡1921	PROPN
cana-1063	146	2	=	=	NOUN
cana-1063	146	3	113	113	NUM
cana-1063	146	4	*	*	SYM
cana-1063	146	5	17	17	NUM
cana-1063	146	6	.	.	PUNCT
cana-1063	147	1	assume	assume	VERB
cana-1063	147	2	the	the	DET
cana-1063	147	3	enciphering	encipher	VERB
cana-1063	147	4	proponent	proponent	NOUN
cana-1063	147	5	to	to	PART
cana-1063	147	6	be	be	AUX
cana-1063	147	7	k	k	PROPN
cana-1063	147	8	then	then	ADV
cana-1063	147	9	the	the	DET
cana-1063	147	10	recapture	recapture	NOUN
cana-1063	147	11	element	element	NOUN
cana-1063	147	12	the	the	DET
cana-1063	147	13	individual	individual	ADJ
cana-1063	147	14	integer	integer	NOUN
cana-1063	147	15	j	j	PROPN
cana-1063	147	16	fulfilling	fulfil	VERB
cana-1063	147	17	the	the	DET
cana-1063	147	18	congruence	congruence	NOUN
cana-1063	147	19	kj	kj	PROPN
cana-1063	147	20	≡	≡	PROPN
cana-1063	147	21	1	1	NUM
cana-1063	147	22	mod	mod	NOUN
cana-1063	147	23	(	(	PUNCT
cana-1063	147	24	∅(n	∅(n	PROPN
cana-1063	147	25	)	)	PUNCT
cana-1063	147	26	.	.	PUNCT
cana-1063	148	1	communications	communication	NOUN
cana-1063	148	2	on	on	ADP
cana-1063	148	3	applied	apply	VERB
cana-1063	148	4	nonlinear	nonlinear	ADJ
cana-1063	148	5	analysis	analysis	NOUN
cana-1063	148	6	issn	issn	NOUN
cana-1063	148	7	:	:	PUNCT
cana-1063	148	8	1074	1074	NUM
cana-1063	148	9	-	-	PUNCT
cana-1063	148	10	133x	133x	NUM
cana-1063	148	11	vol	vol	NOUN
cana-1063	148	12	31	31	NUM
cana-1063	148	13	no	no	NOUN
cana-1063	148	14	.	.	PUNCT
cana-1063	149	1	5s	5s	NUM
cana-1063	149	2	(	(	PUNCT
cana-1063	149	3	2024	2024	NUM
cana-1063	149	4	)	)	PUNCT
cana-1063	149	5	446	446	NUM
cana-1063	149	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1063	149	7	here	here	ADV
cana-1063	149	8	k	k	PROPN
cana-1063	149	9	=	=	SYM
cana-1063	149	10	113	113	NUM
cana-1063	149	11	and	and	CCONJ
cana-1063	149	12	j	j	PROPN
cana-1063	150	1	=	=	NOUN
cana-1063	150	2	17	17	NUM
cana-1063	150	3	to	to	PART
cana-1063	150	4	code	code	VERB
cana-1063	151	1	n	n	PRON
cana-1063	151	2	we	we	PRON
cana-1063	151	3	require	require	VERB
cana-1063	151	4	each	each	DET
cana-1063	151	5	part	part	NOUN
cana-1063	151	6	of	of	ADP
cana-1063	151	7	n	n	PART
cana-1063	151	8	to	to	PART
cana-1063	151	9	be	be	AUX
cana-1063	151	10	an	an	DET
cana-1063	151	11	integer	integer	NOUN
cana-1063	151	12	less	less	ADJ
cana-1063	151	13	than	than	ADP
cana-1063	151	14	2431	2431	NUM
cana-1063	151	15	let	let	VERB
cana-1063	151	16	us	we	PRON
cana-1063	151	17	find	find	VERB
cana-1063	151	18	encrypted	encrypt	VERB
cana-1063	151	19	value	value	NOUN
cana-1063	151	20	for	for	ADP
cana-1063	151	21	the	the	DET
cana-1063	151	22	first	first	ADJ
cana-1063	151	23	element	element	NOUN
cana-1063	151	24	183	183	NUM
cana-1063	151	25	≡	≡	PROPN
cana-1063	151	26	183	183	NUM
cana-1063	151	27	mod	mod	ADJ
cana-1063	151	28	2431	2431	NUM
cana-1063	151	29	1834	1834	NUM
cana-1063	151	30	≡	≡	PROPN
cana-1063	151	31	443	443	NUM
cana-1063	151	32	mod	mod	ADJ
cana-1063	152	1	2431	2431	NUM
cana-1063	152	2	1838	1838	NUM
cana-1063	152	3	≡	≡	PROPN
cana-1063	152	4	1769	1769	NUM
cana-1063	152	5	mod	mod	PROPN
cana-1063	152	6	2431	2431	NUM
cana-1063	152	7	18316	18316	NUM
cana-1063	152	8	≡	≡	PROPN
cana-1063	152	9	664	664	NUM
cana-1063	152	10	mod	mod	NOUN
cana-1063	152	11	243	243	NUM
cana-1063	152	12	18332	18332	NUM
cana-1063	152	13	≡	≡	PROPN
cana-1063	152	14	885	885	NUM
cana-1063	152	15	mod	mod	ADJ
cana-1063	152	16	2431	2431	NUM
cana-1063	152	17	18364	18364	NUM
cana-1063	152	18	≡	≡	PROPN
cana-1063	152	19	443	443	NUM
cana-1063	152	20	mod	mod	ADJ
cana-1063	152	21	2431	2431	NUM
cana-1063	152	22	therefore,183113	therefore,183113	NOUN
cana-1063	152	23	≡	≡	PROPN
cana-1063	152	24	1509	1509	NUM
cana-1063	152	25	mod	mod	PROPN
cana-1063	152	26	2431	2431	NUM
cana-1063	152	27	.	.	PUNCT
cana-1063	153	1	now	now	ADV
cana-1063	153	2	,	,	PUNCT
cana-1063	153	3	we	we	PRON
cana-1063	153	4	find	find	VERB
cana-1063	153	5	for	for	ADP
cana-1063	153	6	120	120	NUM
cana-1063	153	7	≡	≡	PROPN
cana-1063	153	8	120	120	NUM
cana-1063	153	9	mod	mod	ADJ
cana-1063	153	10	2431	2431	NUM
cana-1063	153	11	1204	1204	NUM
cana-1063	153	12	≡	≡	PROPN
cana-1063	153	13	562	562	NUM
cana-1063	153	14	mod	mod	ADJ
cana-1063	153	15	2431	2431	NUM
cana-1063	153	16	1208	1208	NUM
cana-1063	153	17	≡	≡	PROPN
cana-1063	153	18	2245	2245	NUM
cana-1063	153	19	mod	mod	PROPN
cana-1063	153	20	2431	2431	NUM
cana-1063	153	21	12016	12016	NUM
cana-1063	153	22	≡	≡	PROPN
cana-1063	153	23	562	562	NUM
cana-1063	153	24	mod	mod	ADJ
cana-1063	153	25	2431	2431	NUM
cana-1063	153	26	12032	12032	NUM
cana-1063	153	27	≡	≡	PROPN
cana-1063	153	28	2245	2245	NUM
cana-1063	153	29	mod	mod	PROPN
cana-1063	153	30	2431	2431	NUM
cana-1063	153	31	12064	12064	NUM
cana-1063	153	32	≡	≡	PROPN
cana-1063	153	33	562	562	NUM
cana-1063	153	34	mod	mod	ADJ
cana-1063	153	35	2431	2431	NUM
cana-1063	153	36	therefore	therefore	ADV
cana-1063	153	37	,	,	PUNCT
cana-1063	153	38	120113	120113	NUM
cana-1063	153	39	≡	≡	PROPN
cana-1063	153	40	1803	1803	NUM
cana-1063	153	41	mod	mod	PROPN
cana-1063	153	42	2431	2431	NUM
cana-1063	153	43	.	.	PUNCT
cana-1063	154	1	similarly	similarly	ADV
cana-1063	154	2	,	,	PUNCT
cana-1063	154	3	we	we	PRON
cana-1063	154	4	get	get	VERB
cana-1063	154	5	the	the	DET
cana-1063	154	6	remaining	remain	VERB
cana-1063	154	7	elements	element	NOUN
cana-1063	154	8	as	as	ADP
cana-1063	154	9	110113	110113	NUM
cana-1063	154	10	≡	≡	PROPN
cana-1063	154	11	1419	1419	NUM
cana-1063	154	12	mod	mod	ADJ
cana-1063	154	13	2431	2431	NUM
cana-1063	154	14	194113	194113	NUM
cana-1063	154	15	≡	≡	PROPN
cana-1063	154	16	1520	1520	NUM
cana-1063	154	17	mod	mod	ADJ
cana-1063	154	18	2431	2431	NUM
cana-1063	154	19	76113	76113	NUM
cana-1063	154	20	≡	≡	PROPN
cana-1063	154	21	1385	1385	NUM
cana-1063	154	22	mod	mod	ADJ
cana-1063	154	23	2431	2431	NUM
cana-1063	154	24	26113	26113	NUM
cana-1063	154	25	≡	≡	PROPN
cana-1063	154	26	1131	1131	NUM
cana-1063	154	27	mod	mod	ADJ
cana-1063	154	28	2431	2431	NUM
cana-1063	154	29	35113	35113	NUM
cana-1063	154	30	≡	≡	PROPN
cana-1063	154	31	2109	2109	NUM
cana-1063	154	32	mod	mod	ADJ
cana-1063	154	33	2431	2431	NUM
cana-1063	154	34	109113	109113	NUM
cana-1063	154	35	≡	≡	PROPN
cana-1063	154	36	109	109	NUM
cana-1063	154	37	mod	mod	ADJ
cana-1063	154	38	2431	2431	NUM
cana-1063	154	39	216113	216113	NUM
cana-1063	154	40	≡	≡	PROPN
cana-1063	154	41	1542	1542	NUM
cana-1063	154	42	mod	mod	ADJ
cana-1063	154	43	2431	2431	NUM
cana-1063	154	44	21113	21113	NUM
cana-1063	154	45	≡	≡	PROPN
cana-1063	154	46	21	21	NUM
cana-1063	154	47	mod	mod	PROPN
cana-1063	154	48	2431	2431	NUM
cana-1063	154	49	113113	113113	NUM
cana-1063	154	50	≡	≡	PROPN
cana-1063	154	51	1303	1303	NUM
cana-1063	154	52	mod	mod	NOUN
cana-1063	154	53	2431	2431	NUM
cana-1063	154	54	238113	238113	NUM
cana-1063	154	55	≡	≡	PROPN
cana-1063	154	56	816	816	NUM
cana-1063	154	57	mod	mod	PROPN
cana-1063	154	58	2431	2431	NUM
cana-1063	154	59	.	.	PUNCT
cana-1063	155	1	communications	communication	NOUN
cana-1063	155	2	on	on	ADP
cana-1063	155	3	applied	apply	VERB
cana-1063	155	4	nonlinear	nonlinear	ADJ
cana-1063	155	5	analysis	analysis	NOUN
cana-1063	155	6	issn	issn	NOUN
cana-1063	155	7	:	:	PUNCT
cana-1063	155	8	1074	1074	NUM
cana-1063	155	9	-	-	PUNCT
cana-1063	155	10	133x	133x	NUM
cana-1063	155	11	vol	vol	NOUN
cana-1063	155	12	31	31	NUM
cana-1063	155	13	no	no	NOUN
cana-1063	155	14	.	.	PUNCT
cana-1063	156	1	5s	5s	NUM
cana-1063	156	2	(	(	PUNCT
cana-1063	156	3	2024	2024	NUM
cana-1063	156	4	)	)	PUNCT
cana-1063	156	5	447	447	NUM
cana-1063	156	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1063	156	7	therefore	therefore	ADV
cana-1063	156	8	,	,	PUNCT
cana-1063	156	9	the	the	DET
cana-1063	156	10	total	total	ADJ
cana-1063	156	11	coded	code	VERB
cana-1063	156	12	message	message	NOUN
cana-1063	156	13	sent	send	VERB
cana-1063	156	14	by	by	ADP
cana-1063	156	15	the	the	DET
cana-1063	156	16	sender	sender	NOUN
cana-1063	156	17	is	be	AUX
cana-1063	156	18	:	:	PUNCT
cana-1063	156	19	(	(	PUNCT
cana-1063	156	20	1509	1509	NUM
cana-1063	156	21	1803	1803	NUM
cana-1063	156	22	1419	1419	NUM
cana-1063	156	23	1520	1520	NUM
cana-1063	156	24	1385	1385	NUM
cana-1063	156	25	1131	1131	NUM
cana-1063	156	26	2109	2109	NUM
cana-1063	156	27	109	109	NUM
cana-1063	156	28	1542	1542	NUM
cana-1063	156	29	21	21	NUM
cana-1063	156	30	1303	1303	NUM
cana-1063	156	31	816	816	NUM
cana-1063	156	32	)	)	PUNCT
cana-1063	156	33	.	.	PUNCT
cana-1063	157	1	to	to	PART
cana-1063	157	2	decode	decode	VERB
cana-1063	157	3	the	the	DET
cana-1063	157	4	coded	code	VERB
cana-1063	157	5	message	message	NOUN
cana-1063	157	6	the	the	DET
cana-1063	157	7	receiver	receiver	NOUN
cana-1063	157	8	uses	use	VERB
cana-1063	157	9	rsa	rsa	PROPN
cana-1063	157	10	cryptosystem	cryptosystem	NOUN
cana-1063	157	11	.	.	PUNCT
cana-1063	158	1	step	step	NOUN
cana-1063	158	2	5	5	NUM
cana-1063	158	3	:	:	PUNCT
cana-1063	158	4	now	now	ADV
cana-1063	158	5	we	we	PRON
cana-1063	158	6	will	will	AUX
cana-1063	158	7	decode	decode	VERB
cana-1063	158	8	the	the	DET
cana-1063	158	9	message	message	NOUN
cana-1063	158	10	by	by	ADP
cana-1063	158	11	using	use	VERB
cana-1063	158	12	recapture	recapture	NOUN
cana-1063	158	13	element	element	PROPN
cana-1063	158	14	j	j	PROPN
cana-1063	158	15	=	=	SYM
cana-1063	158	16	17	17	NUM
cana-1063	158	17	.	.	PUNCT
cana-1063	159	1	𝟏𝒔𝒕	𝟏𝒔𝒕	ADJ
cana-1063	159	2	stage	stage	NOUN
cana-1063	159	3	of	of	ADP
cana-1063	159	4	decryption	decryption	NOUN
cana-1063	159	5	now	now	ADV
cana-1063	159	6	,	,	PUNCT
cana-1063	159	7	let	let	VERB
cana-1063	159	8	us	we	PRON
cana-1063	159	9	decode	decode	VERB
cana-1063	159	10	the	the	DET
cana-1063	159	11	coded	code	VERB
cana-1063	159	12	values	value	NOUN
cana-1063	159	13	first	first	ADV
cana-1063	159	14	,	,	PUNCT
cana-1063	159	15	we	we	PRON
cana-1063	159	16	find	find	VERB
cana-1063	159	17	1509	1509	NUM
cana-1063	159	18	≡	≡	PROPN
cana-1063	159	19	1509	1509	NUM
cana-1063	159	20	mod	mod	PROPN
cana-1063	159	21	2431	2431	NUM
cana-1063	159	22	15092	15092	NUM
cana-1063	159	23	≡	≡	PROPN
cana-1063	159	24	1665	1665	NUM
cana-1063	159	25	mod	mod	PROPN
cana-1063	159	26	2431	2431	NUM
cana-1063	159	27	15093	15093	NUM
cana-1063	159	28	≡	≡	PROPN
cana-1063	159	29	1262	1262	NUM
cana-1063	159	30	mod	mod	ADJ
cana-1063	159	31	2431	2431	NUM
cana-1063	159	32	15094	15094	NUM
cana-1063	159	33	≡	≡	PROPN
cana-1063	159	34	885	885	NUM
cana-1063	159	35	mod	mod	ADJ
cana-1063	159	36	2431	2431	NUM
cana-1063	159	37	15095	15095	NUM
cana-1063	159	38	≡	≡	PROPN
cana-1063	159	39	846	846	NUM
cana-1063	159	40	mod	mod	PROPN
cana-1063	159	41	2431	2431	NUM
cana-1063	159	42	therefore,150917	therefore,150917	PROPN
cana-1063	159	43	≡	≡	PROPN
cana-1063	159	44	183	183	NUM
cana-1063	159	45	mod	mod	PROPN
cana-1063	159	46	2431	2431	NUM
cana-1063	159	47	.	.	PUNCT
cana-1063	160	1	1803	1803	NUM
cana-1063	160	2	≡	≡	PROPN
cana-1063	160	3	1803	1803	NUM
cana-1063	160	4	mod	mod	ADJ
cana-1063	160	5	2431	2431	NUM
cana-1063	160	6	18032	18032	NUM
cana-1063	160	7	≡	≡	PROPN
cana-1063	160	8	562	562	NUM
cana-1063	160	9	mod	mod	ADJ
cana-1063	160	10	2431	2431	NUM
cana-1063	160	11	18033	18033	NUM
cana-1063	160	12	≡	≡	PROPN
cana-1063	160	13	1990	1990	NUM
cana-1063	160	14	mod	mod	ADJ
cana-1063	160	15	2431	2431	NUM
cana-1063	160	16	18034	18034	NUM
cana-1063	160	17	≡	≡	PROPN
cana-1063	160	18	2245	2245	NUM
cana-1063	160	19	mod	mod	PROPN
cana-1063	160	20	2431	2431	NUM
cana-1063	160	21	18035	18035	NUM
cana-1063	160	22	≡	≡	PROPN
cana-1063	160	23	120	120	NUM
cana-1063	160	24	mod	mod	ADJ
cana-1063	160	25	2431	2431	NUM
cana-1063	160	26	therefore	therefore	ADV
cana-1063	160	27	,	,	PUNCT
cana-1063	160	28	180317	180317	NUM
cana-1063	160	29	≡	≡	PROPN
cana-1063	160	30	120	120	NUM
cana-1063	160	31	mod	mod	PROPN
cana-1063	160	32	2431	2431	NUM
cana-1063	160	33	.	.	PUNCT
cana-1063	161	1	similarly	similarly	ADV
cana-1063	161	2	,	,	PUNCT
cana-1063	161	3	we	we	PRON
cana-1063	161	4	get	get	VERB
cana-1063	161	5	the	the	DET
cana-1063	161	6	remaining	remain	VERB
cana-1063	161	7	elements	element	NOUN
cana-1063	161	8	as	as	ADP
cana-1063	161	9	141917	141917	NUM
cana-1063	161	10	≡	≡	PROPN
cana-1063	161	11	110	110	NUM
cana-1063	161	12	mod	mod	ADJ
cana-1063	161	13	2431	2431	NUM
cana-1063	161	14	152017	152017	NUM
cana-1063	161	15	≡	≡	PROPN
cana-1063	161	16	194	194	NUM
cana-1063	161	17	mod	mod	ADJ
cana-1063	161	18	2431	2431	NUM
cana-1063	161	19	138517	138517	NUM
cana-1063	161	20	≡	≡	PROPN
cana-1063	161	21	76	76	NUM
cana-1063	161	22	mod	mod	ADJ
cana-1063	161	23	2431	2431	NUM
cana-1063	161	24	113117	113117	NUM
cana-1063	161	25	≡	≡	PROPN
cana-1063	161	26	26	26	NUM
cana-1063	161	27	mod	mod	ADJ
cana-1063	161	28	2431	2431	NUM
cana-1063	161	29	210917	210917	NUM
cana-1063	161	30	≡	≡	PROPN
cana-1063	161	31	35	35	NUM
cana-1063	161	32	mod	mod	ADJ
cana-1063	161	33	2431	2431	NUM
cana-1063	161	34	10917	10917	NUM
cana-1063	161	35	≡	≡	PROPN
cana-1063	161	36	109	109	NUM
cana-1063	161	37	mod	mod	ADJ
cana-1063	161	38	2431	2431	NUM
cana-1063	161	39	154217	154217	NUM
cana-1063	161	40	≡	≡	PROPN
cana-1063	161	41	216	216	NUM
cana-1063	161	42	mod	mod	PROPN
cana-1063	161	43	2431	2431	NUM
cana-1063	161	44	2117	2117	NUM
cana-1063	161	45	≡	≡	PROPN
cana-1063	161	46	21	21	NUM
cana-1063	161	47	mod	mod	ADJ
cana-1063	161	48	2431	2431	NUM
cana-1063	161	49	130317	130317	NUM
cana-1063	161	50	≡	≡	PROPN
cana-1063	161	51	113	113	NUM
cana-1063	161	52	mod	mod	ADJ
cana-1063	161	53	2431	2431	NUM
cana-1063	161	54	81617	81617	NUM
cana-1063	161	55	≡	≡	PROPN
cana-1063	161	56	238	238	NUM
cana-1063	161	57	mod	mod	ADJ
cana-1063	161	58	2431	2431	NUM
cana-1063	161	59	communications	communication	NOUN
cana-1063	161	60	on	on	ADP
cana-1063	161	61	applied	apply	VERB
cana-1063	161	62	nonlinear	nonlinear	ADJ
cana-1063	161	63	analysis	analysis	NOUN
cana-1063	161	64	issn	issn	NOUN
cana-1063	161	65	:	:	PUNCT
cana-1063	161	66	1074	1074	NUM
cana-1063	161	67	-	-	PUNCT
cana-1063	161	68	133x	133x	NUM
cana-1063	161	69	vol	vol	NOUN
cana-1063	161	70	31	31	NUM
cana-1063	161	71	no	no	NOUN
cana-1063	161	72	.	.	PUNCT
cana-1063	162	1	5s	5s	NUM
cana-1063	162	2	(	(	PUNCT
cana-1063	162	3	2024	2024	NUM
cana-1063	162	4	)	)	PUNCT
cana-1063	162	5	448	448	NUM
cana-1063	162	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1063	162	7	now	now	ADV
cana-1063	162	8	the	the	DET
cana-1063	162	9	decoded	decode	VERB
cana-1063	162	10	message	message	NOUN
cana-1063	162	11	after	after	ADP
cana-1063	162	12	introducing	introduce	VERB
cana-1063	162	13	rsa	rsa	PROPN
cana-1063	162	14	is	be	AUX
cana-1063	162	15	m	m	VERB
cana-1063	162	16	=	=	PUNCT
cana-1063	162	17	(	(	PUNCT
cana-1063	162	18	183	183	NUM
cana-1063	162	19	120	120	NUM
cana-1063	162	20	110	110	NUM
cana-1063	162	21	194	194	NUM
cana-1063	162	22	76	76	NUM
cana-1063	162	23	26	26	NUM
cana-1063	162	24	35	35	NUM
cana-1063	162	25	109	109	NUM
cana-1063	162	26	216	216	NUM
cana-1063	162	27	21	21	NUM
cana-1063	162	28	113	113	NUM
cana-1063	162	29	238	238	NUM
cana-1063	162	30	)	)	PUNCT
cana-1063	162	31	.	.	PUNCT
cana-1063	163	1	step	step	NOUN
cana-1063	163	2	6	6	NUM
cana-1063	163	3	:	:	PUNCT
cana-1063	163	4	now	now	ADV
cana-1063	163	5	,	,	PUNCT
cana-1063	163	6	we	we	PRON
cana-1063	163	7	shall	shall	AUX
cana-1063	163	8	apply	apply	VERB
cana-1063	163	9	the	the	DET
cana-1063	163	10	hill	hill	NOUN
cana-1063	163	11	cipher	cipher	ADJ
cana-1063	163	12	cryptosystem	cryptosystem	NOUN
cana-1063	163	13	for	for	ADP
cana-1063	163	14	m	m	PROPN
cana-1063	163	15	which	which	PRON
cana-1063	163	16	is	be	AUX
cana-1063	163	17	obtained	obtain	VERB
cana-1063	163	18	in	in	ADP
cana-1063	163	19	step	step	NOUN
cana-1063	163	20	5	5	NUM
cana-1063	163	21	.	.	PUNCT
cana-1063	164	1	𝟐𝒏𝒅	𝟐𝒏𝒅	ADJ
cana-1063	164	2	stage	stage	NOUN
cana-1063	164	3	of	of	ADP
cana-1063	164	4	decryption	decryption	NOUN
cana-1063	164	5	let	let	VERB
cana-1063	164	6	us	we	PRON
cana-1063	164	7	write	write	VERB
cana-1063	164	8	m	m	PRON
cana-1063	164	9	in	in	ADP
cana-1063	164	10	the	the	DET
cana-1063	164	11	form	form	NOUN
cana-1063	164	12	a	a	DET
cana-1063	164	13	matrix	matrix	NOUN
cana-1063	164	14	.	.	PUNCT
cana-1063	165	1	m	m	VERB
cana-1063	165	2	=	=	PUNCT
cana-1063	166	1	[	[	PUNCT
cana-1063	166	2	183	183	NUM
cana-1063	166	3	120	120	NUM
cana-1063	166	4	110	110	NUM
cana-1063	166	5	76	76	NUM
cana-1063	166	6	26	26	NUM
cana-1063	166	7	35	35	NUM
cana-1063	166	8	216	216	NUM
cana-1063	166	9	21	21	NUM
cana-1063	166	10	113	113	NUM
cana-1063	166	11	194	194	NUM
cana-1063	166	12	109	109	NUM
cana-1063	166	13	238	238	NUM
cana-1063	166	14	]	]	PUNCT
cana-1063	166	15	.	.	PUNCT
cana-1063	167	1	now	now	ADV
cana-1063	167	2	we	we	PRON
cana-1063	167	3	can	can	AUX
cana-1063	167	4	recapture	recapture	VERB
cana-1063	167	5	the	the	DET
cana-1063	167	6	text	text	NOUN
cana-1063	167	7	by	by	ADP
cana-1063	167	8	using	use	VERB
cana-1063	167	9	inverse	inverse	NOUN
cana-1063	167	10	matrix	matrix	NOUN
cana-1063	167	11	𝐷	𝐷	NOUN
cana-1063	168	1	=	=	SYM
cana-1063	169	1	𝐴−1𝑀	𝐴−1𝑀	PROPN
cana-1063	170	1	d	d	NOUN
cana-1063	170	2	=	=	PUNCT
cana-1063	170	3	[	[	PUNCT
cana-1063	170	4	4	4	NUM
cana-1063	170	5	3	3	NUM
cana-1063	170	6	3	3	NUM
cana-1063	170	7	−1	−1	NOUN
cana-1063	170	8	0	0	NUM
cana-1063	170	9	−1	−1	NOUN
cana-1063	170	10	−4	−4	X
cana-1063	170	11	−4	−4	X
cana-1063	171	1	−3	−3	X
cana-1063	171	2	]	]	X
cana-1063	172	1	[	[	PUNCT
cana-1063	172	2	183	183	NUM
cana-1063	172	3	120	120	NUM
cana-1063	172	4	110	110	NUM
cana-1063	172	5	76	76	NUM
cana-1063	172	6	26	26	NUM
cana-1063	172	7	35	35	NUM
cana-1063	172	8	216	216	NUM
cana-1063	172	9	21	21	NUM
cana-1063	172	10	113	113	NUM
cana-1063	172	11	194	194	NUM
cana-1063	172	12	109	109	NUM
cana-1063	172	13	238	238	NUM
cana-1063	172	14	]	]	PUNCT
cana-1063	172	15	.	.	PUNCT
cana-1063	173	1	≡	≡	PROPN
cana-1063	173	2	[	[	PUNCT
cana-1063	173	3	1608	1608	NUM
cana-1063	173	4	621	621	NUM
cana-1063	173	5	884	884	NUM
cana-1063	173	6	−399	−399	NOUN
cana-1063	173	7	−141	−141	PROPN
cana-1063	173	8	−223	−223	PROPN
cana-1063	173	9	−1684	−1684	PROPN
cana-1063	173	10	−647	−647	NOUN
cana-1063	173	11	−919	−919	NOUN
cana-1063	173	12	1817	1817	NUM
cana-1063	173	13	−432	−432	NOUN
cana-1063	173	14	−1926	−1926	NOUN
cana-1063	173	15	]	]	PUNCT
cana-1063	173	16	(	(	PUNCT
cana-1063	173	17	mod	mod	PROPN
cana-1063	173	18	255	255	NUM
cana-1063	173	19	)	)	PUNCT
cana-1063	173	20	.	.	PUNCT
cana-1063	174	1	=	=	PUNCT
cana-1063	175	1	[	[	PUNCT
cana-1063	175	2	78	78	NUM
cana-1063	175	3	111	111	NUM
cana-1063	175	4	119	119	NUM
cana-1063	175	5	111	111	NUM
cana-1063	175	6	114	114	NUM
cana-1063	175	7	32	32	NUM
cana-1063	175	8	101	101	NUM
cana-1063	175	9	118	118	NUM
cana-1063	175	10	101	101	NUM
cana-1063	175	11	32	32	NUM
cana-1063	175	12	78	78	NUM
cana-1063	175	13	114	114	NUM
cana-1063	175	14	]	]	PUNCT
cana-1063	175	15	which	which	PRON
cana-1063	175	16	is	be	AUX
cana-1063	175	17	equal	equal	ADJ
cana-1063	175	18	to	to	PART
cana-1063	175	19	matrix	matrix	VERB
cana-1063	175	20	p.	p.	NOUN
cana-1063	176	1	hence	hence	ADV
cana-1063	176	2	,	,	PUNCT
cana-1063	176	3	the	the	DET
cana-1063	176	4	total	total	NOUN
cana-1063	176	5	decoded	decode	VERB
cana-1063	176	6	message	message	NOUN
cana-1063	176	7	is	be	AUX
cana-1063	176	8	p	p	NOUN
cana-1063	176	9	=	=	PUNCT
cana-1063	176	10	(	(	PUNCT
cana-1063	176	11	28	28	NUM
cana-1063	176	12	14	14	NUM
cana-1063	176	13	15	15	NUM
cana-1063	176	14	23	23	NUM
cana-1063	176	15	27	27	NUM
cana-1063	176	16	15	15	NUM
cana-1063	176	17	18	18	NUM
cana-1063	176	18	27	27	NUM
cana-1063	176	19	14	14	NUM
cana-1063	176	20	5	5	NUM
cana-1063	176	21	22	22	NUM
cana-1063	176	22	5	5	NUM
cana-1063	176	23	18	18	NUM
cana-1063	176	24	29	29	NUM
cana-1063	176	25	27	27	NUM
cana-1063	176	26	27	27	NUM
cana-1063	176	27	)	)	PUNCT
cana-1063	176	28	retrieved	retrieve	VERB
cana-1063	176	29	as	as	ADP
cana-1063	176	30	now	now	ADV
cana-1063	176	31	or	or	CCONJ
cana-1063	176	32	never	never	ADV
cana-1063	176	33	.	.	PUNCT
cana-1063	177	1	5	5	X
cana-1063	177	2	.	.	X
cana-1063	177	3	conclusion	conclusion	NOUN
cana-1063	177	4	the	the	DET
cana-1063	177	5	present	present	ADJ
cana-1063	177	6	paper	paper	NOUN
cana-1063	177	7	involves	involve	VERB
cana-1063	177	8	three	three	NUM
cana-1063	177	9	different	different	ADJ
cana-1063	177	10	methods	method	NOUN
cana-1063	177	11	to	to	PART
cana-1063	177	12	encrypt	encrypt	VERB
cana-1063	177	13	and	and	CCONJ
cana-1063	177	14	decrypt	decrypt	VERB
cana-1063	177	15	the	the	DET
cana-1063	177	16	message	message	NOUN
cana-1063	177	17	where	where	SCONJ
cana-1063	177	18	the	the	DET
cana-1063	177	19	first	first	ADJ
cana-1063	177	20	two	two	NUM
cana-1063	177	21	methods	method	NOUN
cana-1063	177	22	involved	involve	VERB
cana-1063	177	23	hill	hill	NOUN
cana-1063	177	24	cipher	cipher	ADJ
cana-1063	177	25	using	use	VERB
cana-1063	177	26	invertible	invertible	ADJ
cana-1063	177	27	matrix	matrix	NOUN
cana-1063	177	28	and	and	CCONJ
cana-1063	177	29	involutory	involutory	NOUN
cana-1063	177	30	matrix	matrix	NOUN
cana-1063	177	31	.	.	PUNCT
cana-1063	178	1	whereas	whereas	SCONJ
cana-1063	178	2	,	,	PUNCT
cana-1063	178	3	the	the	DET
cana-1063	178	4	third	third	ADJ
cana-1063	178	5	method	method	NOUN
cana-1063	178	6	involves	involve	VERB
cana-1063	178	7	two	two	NUM
cana-1063	178	8	stages	stage	NOUN
cana-1063	178	9	of	of	ADP
cana-1063	178	10	encryption	encryption	NOUN
cana-1063	178	11	and	and	CCONJ
cana-1063	178	12	decryption	decryption	NOUN
cana-1063	178	13	where	where	SCONJ
cana-1063	178	14	public	public	ADJ
cana-1063	178	15	key	key	ADJ
cana-1063	178	16	and	and	CCONJ
cana-1063	178	17	private	private	ADJ
cana-1063	178	18	key	key	NOUN
cana-1063	178	19	which	which	PRON
cana-1063	178	20	are	be	AUX
cana-1063	178	21	untraceable	untraceable	ADJ
cana-1063	178	22	by	by	ADP
cana-1063	178	23	the	the	DET
cana-1063	178	24	third	third	ADJ
cana-1063	178	25	parities	parity	NOUN
cana-1063	178	26	,	,	PUNCT
cana-1063	178	27	as	as	SCONJ
cana-1063	178	28	it	it	PRON
cana-1063	178	29	is	be	AUX
cana-1063	178	30	involves	involve	VERB
cana-1063	178	31	large	large	ADJ
cana-1063	178	32	prime	prime	ADJ
cana-1063	178	33	numbers	number	NOUN
cana-1063	178	34	which	which	PRON
cana-1063	178	35	provides	provide	VERB
cana-1063	178	36	security	security	NOUN
cana-1063	178	37	of	of	ADP
cana-1063	178	38	information	information	NOUN
cana-1063	178	39	.	.	PUNCT
cana-1063	179	1	references	reference	NOUN
cana-1063	179	2	[	[	X
cana-1063	179	3	1	1	NUM
cana-1063	179	4	]	]	PUNCT
cana-1063	179	5	mohiuddin	mohiuddin	NOUN
cana-1063	179	6	ahmed	ahmed	PROPN
cana-1063	179	7	and	and	CCONJ
cana-1063	179	8	md	md	PROPN
cana-1063	179	9	.	.	PROPN
cana-1063	179	10	ashik	ashik	PROPN
cana-1063	179	11	iqbal	iqbal	PROPN
cana-1063	179	12	,	,	PUNCT
cana-1063	179	13	(	(	PUNCT
cana-1063	179	14	2020	2020	NUM
cana-1063	179	15	)	)	PUNCT
cana-1063	179	16	.	.	PUNCT
cana-1063	180	1	international	international	ADJ
cana-1063	180	2	journal	journal	PROPN
cana-1063	180	3	of	of	ADP
cana-1063	180	4	material	material	NOUN
cana-1063	180	5	and	and	CCONJ
cana-1063	180	6	mathematical	mathematical	ADJ
cana-1063	180	7	sciences	science	NOUN
cana-1063	180	8	,	,	PUNCT
cana-1063	180	9	2(6	2(6	NUM
cana-1063	180	10	)	)	PUNCT
cana-1063	180	11	,	,	PUNCT
cana-1063	180	12	99	99	NUM
cana-1063	180	13	-	-	SYM
cana-1063	180	14	103	103	NUM
cana-1063	180	15	,	,	PUNCT
cana-1063	180	16	2020	2020	NUM
cana-1063	180	17	.	.	PUNCT
cana-1063	181	1	[	[	X
cana-1063	181	2	2	2	NUM
cana-1063	181	3	]	]	SYM
cana-1063	181	4	rao	rao	PROPN
cana-1063	181	5	,	,	PUNCT
cana-1063	181	6	gav	gav	PROPN
cana-1063	181	7	rama	rama	PROPN
cana-1063	181	8	chandra	chandra	PROPN
cana-1063	181	9	,	,	PUNCT
cana-1063	181	10	p.v	p.v	PROPN
cana-1063	181	11	.	.	PROPN
cana-1063	181	12	lakshmi	lakshmi	PROPN
cana-1063	181	13	and	and	CCONJ
cana-1063	181	14	n.	n.	PROPN
cana-1063	181	15	ravi	ravi	PROPN
cana-1063	181	16	shankar	shankar	PROPN
cana-1063	181	17	.	.	PUNCT
cana-1063	182	1	“	"	PUNCT
cana-1063	182	2	a	a	DET
cana-1063	182	3	new	new	ADJ
cana-1063	182	4	modular	modular	ADJ
cana-1063	182	5	multiplication	multiplication	NOUN
cana-1063	182	6	method	method	NOUN
cana-1063	182	7	in	in	ADP
cana-1063	182	8	public	public	ADJ
cana-1063	182	9	key	key	ADJ
cana-1063	182	10	cryptosystem	cryptosystem	NOUN
cana-1063	182	11	.	.	PUNCT
cana-1063	182	12	”	"	PUNCT
cana-1063	183	1	international	international	ADJ
cana-1063	183	2	journal	journal	NOUN
cana-1063	183	3	of	of	ADP
cana-1063	183	4	network	network	NOUN
cana-1063	183	5	security15.1(2013):23	security15.1(2013):23	X
cana-1063	183	6	-	-	SYM
cana-1063	183	7	27	27	NUM
cana-1063	183	8	.	.	PUNCT
cana-1063	184	1	[	[	X
cana-1063	184	2	3	3	NUM
cana-1063	184	3	]	]	X
cana-1063	184	4	rao	rao	PROPN
cana-1063	184	5	,	,	PUNCT
cana-1063	184	6	gav	gav	PROPN
cana-1063	184	7	rama	rama	PROPN
cana-1063	184	8	chandra	chandra	PROPN
cana-1063	184	9	,	,	PUNCT
cana-1063	184	10	p.v	p.v	PROPN
cana-1063	184	11	.	.	PROPN
cana-1063	184	12	lakshmi	lakshmi	PROPN
cana-1063	184	13	and	and	CCONJ
cana-1063	184	14	n.	n.	PROPN
cana-1063	184	15	ravi	ravi	PROPN
cana-1063	184	16	shankar	shankar	PROPN
cana-1063	184	17	.	.	PUNCT
cana-1063	185	1	“	"	PUNCT
cana-1063	185	2	a	a	DET
cana-1063	185	3	novel	novel	ADJ
cana-1063	185	4	modular	modular	ADJ
cana-1063	185	5	multiplication	multiplication	NOUN
cana-1063	185	6	algorithm	algorithm	NOUN
cana-1063	185	7	and	and	CCONJ
cana-1063	185	8	its	its	PRON
cana-1063	185	9	application	application	NOUN
cana-1063	185	10	to	to	ADP
cana-1063	185	11	rsa	rsa	PROPN
cana-1063	185	12	decryption	decryption	NOUN
cana-1063	185	13	”	"	PUNCT
cana-1063	185	14	,	,	PUNCT
cana-1063	185	15	ijcsi	ijcsi	VERB
cana-1063	185	16	international	international	ADJ
cana-1063	185	17	journal	journal	NOUN
cana-1063	185	18	of	of	ADP
cana-1063	185	19	computer	computer	NOUN
cana-1063	185	20	science	science	NOUN
cana-1063	185	21	issues	issue	NOUN
cana-1063	185	22	,	,	PUNCT
cana-1063	185	23	vol.9	vol.9	PROPN
cana-1063	185	24	,	,	PUNCT
cana-1063	185	25	issue	issue	NOUN
cana-1063	185	26	6	6	NUM
cana-1063	185	27	,	,	PUNCT
cana-1063	185	28	no	no	DET
cana-1063	185	29	3	3	NUM
cana-1063	185	30	,	,	PUNCT
cana-1063	185	31	november	november	PROPN
cana-1063	185	32	2012	2012	NUM
cana-1063	185	33	.	.	PUNCT
cana-1063	186	1	[	[	X
cana-1063	186	2	4	4	X
cana-1063	186	3	]	]	PUNCT
cana-1063	186	4	b.	b.	PROPN
cana-1063	186	5	persis	persis	PROPN
cana-1063	186	6	urbana	urbana	PROPN
cana-1063	186	7	ivy	ivy	PROPN
cana-1063	186	8	,	,	PUNCT
cana-1063	186	9	purushotam	purushotam	PROPN
cana-1063	186	10	mandiwa	mandiwa	PROPN
cana-1063	186	11	,	,	PUNCT
cana-1063	186	12	mukesh	mukesh	PROPN
cana-1063	186	13	kumar	kumar	PROPN
cana-1063	186	14	,	,	PUNCT
cana-1063	186	15	(	(	PUNCT
cana-1063	186	16	2012	2012	NUM
cana-1063	186	17	)	)	PUNCT
cana-1063	186	18	.	.	PUNCT
cana-1063	187	1	international	international	ADJ
cana-1063	187	2	journal	journal	PROPN
cana-1063	187	3	of	of	ADP
cana-1063	187	4	engineering	engineering	NOUN
cana-1063	187	5	and	and	CCONJ
cana-1063	187	6	computer	computer	NOUN
cana-1063	187	7	science	science	NOUN
cana-1063	187	8	issn:2319	issn:2319	PROPN
cana-1063	187	9	-	-	PUNCT
cana-1063	187	10	7242	7242	NUM
cana-1063	187	11	vol1	vol1	PROPN
cana-1063	187	12	issue2	issue2	NOUN
cana-1063	188	1	nov	nov	NOUN
cana-1063	188	2	2012	2012	NUM
cana-1063	188	3	page	page	NOUN
cana-1063	188	4	no.63	no.63	PROPN
cana-1063	188	5	-	-	PUNCT
cana-1063	188	6	66	66	NUM
cana-1063	188	7	.	.	PUNCT
cana-1063	189	1	[	[	X
cana-1063	189	2	5	5	X
cana-1063	189	3	]	]	X
cana-1063	189	4	adhikari	adhikari	PROPN
cana-1063	189	5	m.r	m.r	PROPN
cana-1063	189	6	and	and	CCONJ
cana-1063	189	7	avishek	avishek	PROPN
cana-1063	189	8	adhikari	adhikari	PROPN
cana-1063	189	9	,	,	PUNCT
cana-1063	189	10	(	(	PUNCT
cana-1063	189	11	2007	2007	NUM
cana-1063	189	12	)	)	PUNCT
cana-1063	189	13	.	.	PUNCT
cana-1063	190	1	introduction	introduction	NOUN
cana-1063	190	2	to	to	AUX
cana-1063	190	3	linear	linear	VERB
cana-1063	190	4	algebra	algebra	NOUN
cana-1063	190	5	with	with	ADP
cana-1063	190	6	application	application	NOUN
cana-1063	190	7	to	to	ADP
cana-1063	190	8	basic	basic	ADJ
cana-1063	190	9	cryptography	cryptography	NOUN
cana-1063	190	10	,	,	PUNCT
cana-1063	190	11	(	(	PUNCT
cana-1063	190	12	new	new	ADJ
cana-1063	190	13	delhi	delhi	PROPN
cana-1063	190	14	2007	2007	NUM
cana-1063	190	15	)	)	PUNCT
cana-1063	190	16	.	.	PUNCT
cana-1063	191	1	[	[	X
cana-1063	191	2	6	6	NUM
cana-1063	191	3	]	]	X
cana-1063	191	4	koblitz	koblitz	PROPN
cana-1063	191	5	n.	n.	PROPN
cana-1063	191	6	(	(	PUNCT
cana-1063	191	7	1998	1998	NUM
cana-1063	191	8	)	)	PUNCT
cana-1063	191	9	.	.	PUNCT
cana-1063	192	1	algebraic	algebraic	ADJ
cana-1063	192	2	aspects	aspect	NOUN
cana-1063	192	3	of	of	ADP
cana-1063	192	4	cryptography	cryptography	NOUN
cana-1063	192	5	,	,	PUNCT
cana-1063	192	6	springer	springer	NOUN
cana-1063	192	7	.	.	PUNCT
cana-1063	193	1	[	[	X
cana-1063	193	2	7	7	X
cana-1063	193	3	]	]	X
cana-1063	193	4	cohen	cohen	PROPN
cana-1063	193	5	h.	h.	PROPN
cana-1063	193	6	(	(	PUNCT
cana-1063	193	7	1994	1994	NUM
cana-1063	193	8	)	)	PUNCT
cana-1063	193	9	.	.	PUNCT
cana-1063	194	1	a	a	DET
cana-1063	194	2	course	course	NOUN
cana-1063	194	3	in	in	ADP
cana-1063	194	4	computational	computational	ADJ
cana-1063	194	5	algebraic	algebraic	ADJ
cana-1063	194	6	number	number	NOUN
cana-1063	194	7	theory	theory	NOUN
cana-1063	194	8	,	,	PUNCT
cana-1063	194	9	springer	springer	NOUN
cana-1063	194	10	.	.	PUNCT
cana-1063	195	1	[	[	X
cana-1063	195	2	8	8	NUM
cana-1063	195	3	]	]	X
cana-1063	195	4	lester	lester	NOUN
cana-1063	195	5	,	,	PUNCT
cana-1063	195	6	s.h	s.h	PROPN
cana-1063	195	7	(	(	PUNCT
cana-1063	195	8	1992	1992	NUM
cana-1063	195	9	)	)	PUNCT
cana-1063	195	10	.	.	PUNCT
cana-1063	196	1	cryptography	cryptography	NOUN
cana-1063	196	2	in	in	ADP
cana-1063	196	3	an	an	DET
cana-1063	196	4	algebraic	algebraic	ADJ
cana-1063	196	5	alphabet	alphabet	NOUN
cana-1063	196	6	.	.	PUNCT
cana-1063	197	1	the	the	DET
cana-1063	197	2	american	american	PROPN
cana-1063	197	3	mathematical	mathematical	PROPN
cana-1063	197	4	monthly,36:306	monthly,36:306	PROPN
cana-1063	197	5	-	-	PUNCT
cana-1063	197	6	312	312	NUM
cana-1063	197	7	.	.	PUNCT
cana-1063	198	1	[	[	X
cana-1063	198	2	9	9	NUM
cana-1063	198	3	]	]	PUNCT
cana-1063	198	4	rivest	riv	ADJ
cana-1063	198	5	r.	r.	PROPN
cana-1063	198	6	,	,	PUNCT
cana-1063	198	7	adleman	adleman	NOUN
cana-1063	198	8	l.m	l.m	PROPN
cana-1063	198	9	and	and	CCONJ
cana-1063	198	10	shamir	shamir	PROPN
cana-1063	198	11	a.	a.	NOUN
cana-1063	198	12	(	(	PUNCT
cana-1063	198	13	1978	1978	NUM
cana-1063	198	14	)	)	PUNCT
cana-1063	198	15	.	.	PUNCT
cana-1063	199	1	a	a	DET
cana-1063	199	2	method	method	NOUN
cana-1063	199	3	for	for	ADP
cana-1063	199	4	obtaining	obtain	VERB
cana-1063	199	5	digital	digital	ADJ
cana-1063	199	6	signature	signature	NOUN
cana-1063	199	7	and	and	CCONJ
cana-1063	199	8	public	public	ADJ
cana-1063	199	9	key	key	ADJ
cana-1063	199	10	cryptosystems	cryptosystem	NOUN
cana-1063	199	11	(	(	PUNCT
cana-1063	199	12	comm	comm	NOUN
cana-1063	199	13	.	.	PUNCT
cana-1063	199	14	of	of	ADP
cana-1063	199	15	acm21(1978)120	acm21(1978)120	ADJ
cana-1063	199	16	-	-	ADJ
cana-1063	199	17	126	126	NUM
cana-1063	199	18	)	)	PUNCT
cana-1063	199	19	.	.	PUNCT