id	sid	tid	token	lemma	pos
cana-4889	1	1	communications	communication	NOUN
cana-4889	1	2	on	on	ADP
cana-4889	1	3	applied	apply	VERB
cana-4889	1	4	nonlinear	nonlinear	ADJ
cana-4889	1	5	analysis	analysis	NOUN
cana-4889	1	6	issn	issn	NOUN
cana-4889	1	7	:	:	PUNCT
cana-4889	1	8	1074	1074	NUM
cana-4889	1	9	-	-	PUNCT
cana-4889	1	10	133x	133x	NUM
cana-4889	1	11	vol	vol	NOUN
cana-4889	1	12	32	32	NUM
cana-4889	1	13	no	no	NOUN
cana-4889	1	14	.	.	NOUN
cana-4889	1	15	1	1	NUM
cana-4889	1	16	(	(	PUNCT
cana-4889	1	17	2025	2025	NUM
cana-4889	1	18	)	)	PUNCT
cana-4889	2	1	417	417	NUM
cana-4889	2	2	https://internationalpubls.com	https://internationalpubls.com	X
cana-4889	2	3	securing	secure	VERB
cana-4889	2	4	single	single	ADJ
cana-4889	2	5	owner	owner	NOUN
cana-4889	2	6	cloud	cloud	PROPN
cana-4889	2	7	data	datum	NOUN
cana-4889	2	8	using	use	VERB
cana-4889	2	9	proposed	propose	VERB
cana-4889	2	10	enhanced	enhance	VERB
cana-4889	2	11	schmidtsamoa	schmidtsamoa	NOUN
cana-4889	2	12	cryptosystem	cryptosystem	NOUN
cana-4889	2	13	1shivani	1shivani	NUM
cana-4889	2	14	namala	namala	NOUN
cana-4889	2	15	,	,	PUNCT
cana-4889	2	16	2dr	2dr	NOUN
cana-4889	2	17	.	.	PUNCT
cana-4889	3	1	rakesh	rakesh	PROPN
cana-4889	3	2	kumar	kumar	PROPN
cana-4889	3	3	yadav	yadav	PROPN
cana-4889	3	4	1research	1research	NUM
cana-4889	3	5	scholar	scholar	NOUN
cana-4889	3	6	,	,	PUNCT
cana-4889	3	7	department	department	NOUN
cana-4889	3	8	of	of	ADP
cana-4889	3	9	computer	computer	NOUN
cana-4889	3	10	science	science	NOUN
cana-4889	3	11	and	and	CCONJ
cana-4889	3	12	engineering	engineering	NOUN
cana-4889	3	13	,	,	PUNCT
cana-4889	3	14	maharishi	maharishi	PROPN
cana-4889	3	15	school	school	NOUN
cana-4889	3	16	of	of	ADP
cana-4889	3	17	engineering	engineering	NOUN
cana-4889	3	18	and	and	CCONJ
cana-4889	3	19	technology	technology	NOUN
cana-4889	3	20	,	,	PUNCT
cana-4889	3	21	muit	muit	NOUN
cana-4889	3	22	,	,	PUNCT
cana-4889	3	23	lucknow	lucknow	PROPN
cana-4889	3	24	shivaninamala1@gmail.com	shivaninamala1@gmail.com	PROPN
cana-4889	4	1	2associate	2associate	NUM
cana-4889	4	2	professor	professor	NOUN
cana-4889	4	3	,	,	PUNCT
cana-4889	4	4	department	department	NOUN
cana-4889	4	5	of	of	ADP
cana-4889	4	6	computer	computer	NOUN
cana-4889	4	7	science	science	NOUN
cana-4889	4	8	and	and	CCONJ
cana-4889	4	9	engineering	engineering	NOUN
cana-4889	4	10	,	,	PUNCT
cana-4889	4	11	maharishi	maharishi	PROPN
cana-4889	4	12	school	school	NOUN
cana-4889	4	13	of	of	ADP
cana-4889	4	14	engineering	engineering	NOUN
cana-4889	4	15	and	and	CCONJ
cana-4889	4	16	technology	technology	NOUN
cana-4889	4	17	,	,	PUNCT
cana-4889	4	18	muit	muit	NOUN
cana-4889	4	19	,	,	PUNCT
cana-4889	4	20	lucknow	lucknow	NOUN
cana-4889	4	21	article	article	NOUN
cana-4889	4	22	history	history	NOUN
cana-4889	4	23	:	:	PUNCT
cana-4889	4	24	received	receive	VERB
cana-4889	4	25	:	:	PUNCT
cana-4889	4	26	12	12	NUM
cana-4889	4	27	-	-	SYM
cana-4889	4	28	11	11	NUM
cana-4889	4	29	-	-	PUNCT
cana-4889	4	30	2024	2024	NUM
cana-4889	4	31	revised	revise	VERB
cana-4889	4	32	:	:	PUNCT
cana-4889	4	33	15	15	NUM
cana-4889	4	34	-	-	SYM
cana-4889	4	35	12	12	NUM
cana-4889	4	36	-	-	PUNCT
cana-4889	4	37	2024	2024	NUM
cana-4889	4	38	accepted	accept	VERB
cana-4889	4	39	:	:	PUNCT
cana-4889	4	40	20	20	NUM
cana-4889	4	41	-	-	SYM
cana-4889	4	42	01	01	NUM
cana-4889	4	43	-	-	PUNCT
cana-4889	4	44	2025	2025	NUM
cana-4889	4	45	abstract	abstract	NOUN
cana-4889	4	46	:	:	PUNCT
cana-4889	4	47	in	in	ADP
cana-4889	4	48	this	this	DET
cana-4889	4	49	paper	paper	NOUN
cana-4889	4	50	an	an	DET
cana-4889	4	51	enhanced	enhanced	ADJ
cana-4889	4	52	schmidt	schmidt	NOUN
cana-4889	4	53	samoa	samoa	PROPN
cana-4889	4	54	cryptosystem	cryptosystem	NOUN
cana-4889	4	55	is	be	AUX
cana-4889	4	56	proposed	propose	VERB
cana-4889	4	57	to	to	PART
cana-4889	4	58	secure	secure	VERB
cana-4889	4	59	single	single	ADJ
cana-4889	4	60	owner	owner	NOUN
cana-4889	4	61	data	data	NOUN
cana-4889	4	62	storage	storage	NOUN
cana-4889	4	63	and	and	CCONJ
cana-4889	4	64	retrieval	retrieval	NOUN
cana-4889	4	65	in	in	ADP
cana-4889	4	66	a	a	DET
cana-4889	4	67	secure	secure	ADJ
cana-4889	4	68	cloud	cloud	NOUN
cana-4889	4	69	framework	framework	NOUN
cana-4889	4	70	.	.	PUNCT
cana-4889	5	1	existing	exist	VERB
cana-4889	5	2	and	and	CCONJ
cana-4889	5	3	enhanced	enhanced	ADJ
cana-4889	5	4	schmidt	schmidt	PROPN
cana-4889	5	5	samoa	samoa	PROPN
cana-4889	5	6	cryptosystem	cryptosystem	PROPN
cana-4889	5	7	,	,	PUNCT
cana-4889	5	8	an	an	DET
cana-4889	5	9	example	example	NOUN
cana-4889	5	10	of	of	ADP
cana-4889	5	11	the	the	DET
cana-4889	5	12	proposed	propose	VERB
cana-4889	5	13	cryptosystem	cryptosystem	NOUN
cana-4889	5	14	are	be	AUX
cana-4889	5	15	discussed	discuss	VERB
cana-4889	5	16	.	.	PUNCT
cana-4889	6	1	this	this	DET
cana-4889	6	2	paper	paper	NOUN
cana-4889	6	3	discusses	discuss	VERB
cana-4889	6	4	the	the	DET
cana-4889	6	5	enrichment	enrichment	NOUN
cana-4889	6	6	of	of	ADP
cana-4889	6	7	the	the	DET
cana-4889	6	8	proposed	propose	VERB
cana-4889	6	9	improved	improve	VERB
cana-4889	6	10	secure	secure	ADJ
cana-4889	6	11	cloud	cloud	ADJ
cana-4889	6	12	data	data	NOUN
cana-4889	6	13	storage	storage	NOUN
cana-4889	6	14	framework	framework	NOUN
cana-4889	6	15	by	by	ADP
cana-4889	6	16	providing	provide	VERB
cana-4889	6	17	confidentiality	confidentiality	NOUN
cana-4889	6	18	with	with	ADP
cana-4889	6	19	the	the	DET
cana-4889	6	20	enhanced	enhanced	ADJ
cana-4889	6	21	schmidt	schmidt	PROPN
cana-4889	6	22	samoa	samoa	PROPN
cana-4889	6	23	cryptosystem	cryptosystem	NOUN
cana-4889	6	24	(	(	PUNCT
cana-4889	6	25	ess	ess	NOUN
cana-4889	6	26	)	)	PUNCT
cana-4889	6	27	to	to	PART
cana-4889	6	28	secure	secure	VERB
cana-4889	6	29	data	datum	NOUN
cana-4889	6	30	storage	storage	NOUN
cana-4889	6	31	and	and	CCONJ
cana-4889	6	32	retrieval	retrieval	NOUN
cana-4889	6	33	in	in	ADP
cana-4889	6	34	cloud	cloud	NOUN
cana-4889	6	35	.	.	PUNCT
cana-4889	7	1	besides	besides	SCONJ
cana-4889	7	2	,	,	PUNCT
cana-4889	7	3	an	an	DET
cana-4889	7	4	illustration	illustration	NOUN
cana-4889	7	5	of	of	ADP
cana-4889	7	6	proposed	propose	VERB
cana-4889	7	7	cryptosystem	cryptosystem	NOUN
cana-4889	7	8	with	with	ADP
cana-4889	7	9	an	an	DET
cana-4889	7	10	example	example	NOUN
cana-4889	7	11	and	and	CCONJ
cana-4889	7	12	mathematical	mathematical	ADJ
cana-4889	7	13	proof	proof	NOUN
cana-4889	7	14	of	of	ADP
cana-4889	7	15	ess	ess	PROPN
cana-4889	7	16	are	be	AUX
cana-4889	7	17	provided	provide	VERB
cana-4889	7	18	.	.	PUNCT
cana-4889	8	1	keywords	keyword	NOUN
cana-4889	8	2	:	:	PUNCT
cana-4889	8	3	cloud	cloud	NOUN
cana-4889	8	4	computing	computing	NOUN
cana-4889	8	5	,	,	PUNCT
cana-4889	8	6	cloud	cloud	ADJ
cana-4889	8	7	security	security	NOUN
cana-4889	8	8	,	,	PUNCT
cana-4889	8	9	cloud	cloud	NOUN
cana-4889	8	10	data	datum	NOUN
cana-4889	8	11	storage	storage	NOUN
cana-4889	8	12	,	,	PUNCT
cana-4889	8	13	enhanced	enhance	VERB
cana-4889	8	14	schmidtsamoa	schmidtsamoa	NOUN
cana-4889	8	15	cyptosystem	cyptosystem	NOUN
cana-4889	8	16	,	,	PUNCT
cana-4889	8	17	single	single	ADJ
cana-4889	8	18	owner	owner	NOUN
cana-4889	8	19	cloud	cloud	PROPN
cana-4889	8	20	data	data	PROPN
cana-4889	8	21	etc	etc	X
cana-4889	8	22	.	.	X
cana-4889	8	23	introduction	introduction	NOUN
cana-4889	8	24	cloud	cloud	PROPN
cana-4889	8	25	computing	compute	VERB
cana-4889	8	26	technology	technology	NOUN
cana-4889	8	27	provides	provide	VERB
cana-4889	8	28	utilization	utilization	NOUN
cana-4889	8	29	of	of	ADP
cana-4889	8	30	shared	shared	ADJ
cana-4889	8	31	pool	pool	NOUN
cana-4889	8	32	of	of	ADP
cana-4889	8	33	resources	resource	NOUN
cana-4889	8	34	such	such	ADJ
cana-4889	8	35	as	as	ADP
cana-4889	8	36	computational	computational	ADJ
cana-4889	8	37	power	power	NOUN
cana-4889	8	38	,	,	PUNCT
cana-4889	8	39	storage	storage	NOUN
cana-4889	8	40	facilities	facility	NOUN
cana-4889	8	41	,	,	PUNCT
cana-4889	8	42	networking	network	VERB
cana-4889	8	43	elements	element	NOUN
cana-4889	8	44	,	,	PUNCT
cana-4889	8	45	and	and	CCONJ
cana-4889	8	46	applications	application	NOUN
cana-4889	8	47	as	as	ADP
cana-4889	8	48	configurable	configurable	ADJ
cana-4889	8	49	services	service	NOUN
cana-4889	8	50	as	as	ADP
cana-4889	8	51	per	per	ADP
cana-4889	8	52	the	the	DET
cana-4889	8	53	cloud	cloud	NOUN
cana-4889	8	54	user	user	NOUN
cana-4889	8	55	's	's	PART
cana-4889	8	56	demand	demand	NOUN
cana-4889	8	57	,	,	PUNCT
cana-4889	8	58	without	without	ADP
cana-4889	8	59	any	any	DET
cana-4889	8	60	special	special	ADJ
cana-4889	8	61	consideration	consideration	NOUN
cana-4889	8	62	.	.	PUNCT
cana-4889	9	1	the	the	DET
cana-4889	9	2	cloud	cloud	NOUN
cana-4889	9	3	computing	compute	VERB
cana-4889	9	4	architecture	architecture	NOUN
cana-4889	9	5	holds	hold	VERB
cana-4889	9	6	the	the	DET
cana-4889	9	7	components	component	NOUN
cana-4889	9	8	and	and	CCONJ
cana-4889	9	9	subcomponents	subcomponent	NOUN
cana-4889	9	10	,	,	PUNCT
cana-4889	9	11	which	which	PRON
cana-4889	9	12	is	be	AUX
cana-4889	9	13	classified	classify	VERB
cana-4889	9	14	as	as	ADP
cana-4889	9	15	front	front	ADJ
cana-4889	9	16	end	end	NOUN
cana-4889	9	17	&	&	CCONJ
cana-4889	9	18	back	back	ADJ
cana-4889	9	19	end	end	NOUN
cana-4889	9	20	.	.	PUNCT
cana-4889	10	1	they	they	PRON
cana-4889	10	2	are	be	AUX
cana-4889	10	3	connected	connect	VERB
cana-4889	10	4	by	by	ADP
cana-4889	10	5	the	the	DET
cana-4889	10	6	internet	internet	NOUN
cana-4889	10	7	through	through	ADP
cana-4889	10	8	a	a	DET
cana-4889	10	9	delivery	delivery	NOUN
cana-4889	10	10	system	system	NOUN
cana-4889	10	11	.	.	PUNCT
cana-4889	11	1	the	the	DET
cana-4889	11	2	front	front	ADJ
cana-4889	11	3	end	end	NOUN
cana-4889	11	4	part	part	NOUN
cana-4889	11	5	comprises	comprise	VERB
cana-4889	11	6	the	the	DET
cana-4889	11	7	interfaces	interface	NOUN
cana-4889	11	8	and	and	CCONJ
cana-4889	11	9	applications	application	NOUN
cana-4889	11	10	using	use	VERB
cana-4889	11	11	which	which	DET
cana-4889	11	12	cloud	cloud	NOUN
cana-4889	11	13	user	user	NOUN
cana-4889	11	14	can	can	AUX
cana-4889	11	15	access	access	VERB
cana-4889	11	16	cloud	cloud	NOUN
cana-4889	11	17	.	.	PUNCT
cana-4889	12	1	likewise	likewise	ADV
cana-4889	12	2	,	,	PUNCT
cana-4889	12	3	the	the	DET
cana-4889	12	4	back	back	ADJ
cana-4889	12	5	end	end	NOUN
cana-4889	12	6	contains	contain	VERB
cana-4889	12	7	computing	compute	VERB
cana-4889	12	8	resources	resource	NOUN
cana-4889	12	9	,	,	PUNCT
cana-4889	12	10	namely	namely	ADV
cana-4889	12	11	servers	server	NOUN
cana-4889	12	12	,	,	PUNCT
cana-4889	12	13	data	datum	NOUN
cana-4889	12	14	storage	storage	NOUN
cana-4889	12	15	,	,	PUNCT
cana-4889	12	16	virtual	virtual	ADJ
cana-4889	12	17	machines	machine	NOUN
cana-4889	12	18	,	,	PUNCT
cana-4889	12	19	etc	etc	X
cana-4889	12	20	.	.	X
cana-4889	13	1	it	it	PRON
cana-4889	13	2	enables	enable	VERB
cana-4889	13	3	cloud	cloud	ADJ
cana-4889	13	4	users	user	NOUN
cana-4889	13	5	to	to	PART
cana-4889	13	6	access	access	VERB
cana-4889	13	7	their	their	PRON
cana-4889	13	8	data	datum	NOUN
cana-4889	13	9	anytime	anytime	ADV
cana-4889	13	10	and	and	CCONJ
cana-4889	13	11	from	from	ADP
cana-4889	13	12	anywhere	anywhere	ADV
cana-4889	13	13	,	,	PUNCT
cana-4889	13	14	not	not	PART
cana-4889	13	15	confined	confine	VERB
cana-4889	13	16	to	to	ADP
cana-4889	13	17	the	the	DET
cana-4889	13	18	data	datum	NOUN
cana-4889	13	19	's	's	PART
cana-4889	13	20	storage	storage	NOUN
cana-4889	13	21	location	location	NOUN
cana-4889	13	22	.	.	PUNCT
cana-4889	14	1	cloud	cloud	PROPN
cana-4889	14	2	computing	computing	PROPN
cana-4889	14	3	's	's	PART
cana-4889	14	4	essential	essential	ADJ
cana-4889	14	5	characteristics	characteristic	NOUN
cana-4889	14	6	are	be	AUX
cana-4889	14	7	rapid	rapid	ADJ
cana-4889	14	8	elasticity	elasticity	NOUN
cana-4889	14	9	,	,	PUNCT
cana-4889	14	10	on	on	ADP
cana-4889	14	11	-	-	PUNCT
cana-4889	14	12	demand	demand	NOUN
cana-4889	14	13	selfservice	selfservice	NOUN
cana-4889	14	14	,	,	PUNCT
cana-4889	14	15	measured	measure	VERB
cana-4889	14	16	service	service	NOUN
cana-4889	14	17	,	,	PUNCT
cana-4889	14	18	resource	resource	NOUN
cana-4889	14	19	pooling	pooling	NOUN
cana-4889	14	20	,	,	PUNCT
cana-4889	14	21	multitenancy	multitenancy	NOUN
cana-4889	14	22	,	,	PUNCT
cana-4889	14	23	and	and	CCONJ
cana-4889	14	24	virtualization	virtualization	NOUN
cana-4889	14	25	.	.	PUNCT
cana-4889	15	1	some	some	DET
cana-4889	15	2	cloud	cloud	NOUN
cana-4889	15	3	service	service	NOUN
cana-4889	15	4	providers	provider	NOUN
cana-4889	15	5	are	be	AUX
cana-4889	15	6	microsoft	microsoft	PROPN
cana-4889	15	7	for	for	ADP
cana-4889	15	8	azure	azure	NOUN
cana-4889	15	9	,	,	PUNCT
cana-4889	15	10	ibm	ibm	PROPN
cana-4889	15	11	for	for	ADP
cana-4889	15	12	bluemix	bluemix	NOUN
cana-4889	15	13	,	,	PUNCT
cana-4889	15	14	amazon	amazon	NOUN
cana-4889	15	15	for	for	ADP
cana-4889	15	16	aws	aw	NOUN
cana-4889	15	17	,	,	PUNCT
cana-4889	15	18	etc	etc	X
cana-4889	15	19	.	.	X
cana-4889	16	1	they	they	PRON
cana-4889	16	2	provide	provide	VERB
cana-4889	16	3	services	service	NOUN
cana-4889	16	4	via	via	ADP
cana-4889	16	5	service	service	NOUN
cana-4889	16	6	models	model	NOUN
cana-4889	16	7	like	like	ADP
cana-4889	16	8	as	as	ADP
cana-4889	16	9	infrastructure	infrastructure	NOUN
cana-4889	16	10	as	as	ADP
cana-4889	16	11	aservice	aservice	NOUN
cana-4889	16	12	,	,	PUNCT
cana-4889	16	13	platform	platform	NOUN
cana-4889	16	14	as	as	ADP
cana-4889	16	15	a	a	DET
cana-4889	16	16	service	service	NOUN
cana-4889	16	17	,	,	PUNCT
cana-4889	16	18	&	&	CCONJ
cana-4889	16	19	software	software	NOUN
cana-4889	16	20	as	as	ADP
cana-4889	16	21	service	service	NOUN
cana-4889	16	22	,	,	PUNCT
cana-4889	16	23	as	as	ADV
cana-4889	16	24	well	well	ADV
cana-4889	16	25	as	as	ADP
cana-4889	16	26	deployment	deployment	ADJ
cana-4889	16	27	types	type	NOUN
cana-4889	16	28	such	such	ADJ
cana-4889	16	29	as	as	ADP
cana-4889	16	30	public	public	ADJ
cana-4889	16	31	cloud	cloud	NOUN
cana-4889	16	32	,	,	PUNCT
cana-4889	16	33	private	private	ADJ
cana-4889	16	34	cloud	cloud	NOUN
cana-4889	16	35	,	,	PUNCT
cana-4889	16	36	community	community	NOUN
cana-4889	16	37	cloud	cloud	NOUN
cana-4889	16	38	,	,	PUNCT
cana-4889	16	39	&	&	CCONJ
cana-4889	16	40	hybrid	hybrid	ADJ
cana-4889	16	41	cloud	cloud	NOUN
cana-4889	16	42	.	.	PUNCT
cana-4889	17	1	cloud	cloud	NOUN
cana-4889	17	2	computing	compute	VERB
cana-4889	17	3	application	application	NOUN
cana-4889	17	4	areas	area	NOUN
cana-4889	17	5	are	be	AUX
cana-4889	17	6	education	education	NOUN
cana-4889	17	7	,	,	PUNCT
cana-4889	17	8	healthcare	healthcare	PROPN
cana-4889	17	9	,	,	PUNCT
cana-4889	17	10	banking	banking	NOUN
cana-4889	17	11	,	,	PUNCT
cana-4889	17	12	business	business	NOUN
cana-4889	17	13	,	,	PUNCT
cana-4889	17	14	science	science	NOUN
cana-4889	17	15	and	and	CCONJ
cana-4889	17	16	engineering	engineering	NOUN
cana-4889	17	17	design	design	NOUN
cana-4889	17	18	,	,	PUNCT
cana-4889	17	19	military	military	NOUN
cana-4889	17	20	,	,	PUNCT
cana-4889	17	21	transport	transport	NOUN
cana-4889	17	22	,	,	PUNCT
cana-4889	17	23	entertainment	entertainment	NOUN
cana-4889	17	24	,	,	PUNCT
cana-4889	17	25	governance	governance	NOUN
cana-4889	17	26	,	,	PUNCT
cana-4889	17	27	etc	etc	X
cana-4889	17	28	.	.	X
cana-4889	18	1	educational	educational	ADJ
cana-4889	18	2	institutions	institution	NOUN
cana-4889	18	3	have	have	AUX
cana-4889	18	4	upgraded	upgrade	VERB
cana-4889	18	5	the	the	DET
cana-4889	18	6	computing	computing	NOUN
cana-4889	18	7	systems	system	NOUN
cana-4889	18	8	for	for	ADP
cana-4889	18	9	learner	learner	NOUN
cana-4889	18	10	's	's	PART
cana-4889	18	11	community	community	NOUN
cana-4889	18	12	benefits	benefit	NOUN
cana-4889	18	13	using	use	VERB
cana-4889	18	14	cloud	cloud	NOUN
cana-4889	18	15	services	service	NOUN
cana-4889	18	16	without	without	ADP
cana-4889	18	17	the	the	DET
cana-4889	18	18	significant	significant	ADJ
cana-4889	18	19	investment	investment	NOUN
cana-4889	18	20	for	for	ADP
cana-4889	18	21	infrastructure	infrastructure	NOUN
cana-4889	18	22	.	.	PUNCT
cana-4889	19	1	the	the	DET
cana-4889	19	2	learner	learner	NOUN
cana-4889	19	3	's	's	PART
cana-4889	19	4	world	world	NOUN
cana-4889	19	5	population	population	NOUN
cana-4889	19	6	can	can	AUX
cana-4889	19	7	be	be	AUX
cana-4889	19	8	easily	easily	ADV
cana-4889	19	9	connected	connect	VERB
cana-4889	19	10	and	and	CCONJ
cana-4889	19	11	highly	highly	ADV
cana-4889	19	12	networked	networked	ADJ
cana-4889	19	13	for	for	ADP
cana-4889	19	14	knowledge	knowledge	NOUN
cana-4889	19	15	sharing	sharing	NOUN
cana-4889	19	16	,	,	PUNCT
cana-4889	19	17	research	research	NOUN
cana-4889	19	18	,	,	PUNCT
cana-4889	19	19	and	and	CCONJ
cana-4889	19	20	innovation	innovation	NOUN
cana-4889	19	21	activities	activity	NOUN
cana-4889	19	22	.	.	PUNCT
cana-4889	20	1	communications	communication	NOUN
cana-4889	20	2	on	on	ADP
cana-4889	20	3	applied	apply	VERB
cana-4889	20	4	nonlinear	nonlinear	ADJ
cana-4889	20	5	analysis	analysis	NOUN
cana-4889	20	6	issn	issn	NOUN
cana-4889	20	7	:	:	PUNCT
cana-4889	20	8	1074	1074	NUM
cana-4889	20	9	-	-	PUNCT
cana-4889	20	10	133x	133x	NUM
cana-4889	20	11	vol	vol	NOUN
cana-4889	20	12	32	32	NUM
cana-4889	20	13	no	no	NOUN
cana-4889	20	14	.	.	NOUN
cana-4889	20	15	1	1	NUM
cana-4889	20	16	(	(	PUNCT
cana-4889	20	17	2025	2025	NUM
cana-4889	20	18	)	)	PUNCT
cana-4889	20	19	418	418	NUM
cana-4889	20	20	https://internationalpubls.com	https://internationalpubls.com	X
cana-4889	21	1	cloud	cloud	NOUN
cana-4889	21	2	computing	computing	NOUN
cana-4889	21	3	helps	help	VERB
cana-4889	21	4	the	the	DET
cana-4889	21	5	healthcare	healthcare	NOUN
cana-4889	21	6	domain	domain	NOUN
cana-4889	21	7	with	with	ADP
cana-4889	21	8	ondemand	ondemand	NOUN
cana-4889	21	9	computing	computing	NOUN
cana-4889	21	10	and	and	CCONJ
cana-4889	21	11	storage	storage	NOUN
cana-4889	21	12	services	service	NOUN
cana-4889	21	13	majorly	majorly	ADV
cana-4889	21	14	for	for	ADP
cana-4889	21	15	handling	handle	VERB
cana-4889	21	16	electronic	electronic	ADJ
cana-4889	21	17	patient	patient	NOUN
cana-4889	21	18	records	record	NOUN
cana-4889	21	19	,	,	PUNCT
cana-4889	21	20	healthcare	healthcare	NOUN
cana-4889	21	21	portals	portal	NOUN
cana-4889	21	22	,	,	PUNCT
cana-4889	21	23	iot	iot	NOUN
cana-4889	21	24	-	-	PUNCT
cana-4889	21	25	based	base	VERB
cana-4889	21	26	medical	medical	ADJ
cana-4889	21	27	devices	device	NOUN
cana-4889	21	28	,	,	PUNCT
cana-4889	21	29	and	and	CCONJ
cana-4889	21	30	decision	decision	NOUN
cana-4889	21	31	support	support	NOUN
cana-4889	21	32	systems	system	NOUN
cana-4889	21	33	.	.	PUNCT
cana-4889	22	1	it	it	PRON
cana-4889	22	2	also	also	ADV
cana-4889	22	3	helps	help	VERB
cana-4889	22	4	to	to	PART
cana-4889	22	5	connect	connect	VERB
cana-4889	22	6	patients	patient	NOUN
cana-4889	22	7	and	and	CCONJ
cana-4889	22	8	doctors	doctor	NOUN
cana-4889	22	9	remotely	remotely	ADV
cana-4889	22	10	and	and	CCONJ
cana-4889	22	11	from	from	ADP
cana-4889	22	12	anywhere	anywhere	ADV
cana-4889	22	13	for	for	ADP
cana-4889	22	14	treatment	treatment	NOUN
cana-4889	22	15	or	or	CCONJ
cana-4889	22	16	consulting	consulting	NOUN
cana-4889	22	17	purposes	purpose	NOUN
cana-4889	22	18	.	.	PUNCT
cana-4889	23	1	the	the	DET
cana-4889	23	2	huge	huge	ADJ
cana-4889	23	3	capital	capital	NOUN
cana-4889	23	4	it	it	PRON
cana-4889	23	5	infrastructure	infrastructure	NOUN
cana-4889	23	6	investments	investment	NOUN
cana-4889	23	7	are	be	AUX
cana-4889	23	8	reduced	reduce	VERB
cana-4889	23	9	to	to	ADP
cana-4889	23	10	operational	operational	ADJ
cana-4889	23	11	expenses	expense	NOUN
cana-4889	23	12	for	for	ADP
cana-4889	23	13	banking	banking	NOUN
cana-4889	23	14	,	,	PUNCT
cana-4889	23	15	finance	finance	NOUN
cana-4889	23	16	,	,	PUNCT
cana-4889	23	17	and	and	CCONJ
cana-4889	23	18	insurance	insurance	NOUN
cana-4889	23	19	industries	industry	NOUN
cana-4889	23	20	.	.	PUNCT
cana-4889	24	1	the	the	DET
cana-4889	24	2	industries	industry	NOUN
cana-4889	24	3	may	may	AUX
cana-4889	24	4	focus	focus	VERB
cana-4889	24	5	on	on	ADP
cana-4889	24	6	core	core	ADJ
cana-4889	24	7	functional	functional	ADJ
cana-4889	24	8	activities	activity	NOUN
cana-4889	24	9	instead	instead	ADV
cana-4889	24	10	of	of	ADP
cana-4889	24	11	it	it	PRON
cana-4889	24	12	complications	complication	NOUN
cana-4889	24	13	.	.	PUNCT
cana-4889	25	1	securing	secure	VERB
cana-4889	25	2	transactions	transaction	NOUN
cana-4889	25	3	and	and	CCONJ
cana-4889	25	4	periodic	periodic	ADJ
cana-4889	25	5	backup	backup	NOUN
cana-4889	25	6	or	or	CCONJ
cana-4889	25	7	maintenance	maintenance	NOUN
cana-4889	25	8	,	,	PUNCT
cana-4889	25	9	initiating	initiate	VERB
cana-4889	25	10	payments	payment	NOUN
cana-4889	25	11	and	and	CCONJ
cana-4889	25	12	fund	fund	NOUN
cana-4889	25	13	transfers	transfer	NOUN
cana-4889	25	14	,	,	PUNCT
cana-4889	25	15	resource	resource	NOUN
cana-4889	25	16	planning	planning	NOUN
cana-4889	25	17	,	,	PUNCT
cana-4889	25	18	and	and	CCONJ
cana-4889	25	19	customer	customer	NOUN
cana-4889	25	20	relationship	relationship	NOUN
cana-4889	25	21	applications	application	NOUN
cana-4889	25	22	are	be	AUX
cana-4889	25	23	hosted	host	VERB
cana-4889	25	24	in	in	ADP
cana-4889	25	25	the	the	DET
cana-4889	25	26	cloud	cloud	NOUN
cana-4889	25	27	for	for	ADP
cana-4889	25	28	handling	handle	VERB
cana-4889	25	29	massive	massive	ADJ
cana-4889	25	30	transactions	transaction	NOUN
cana-4889	25	31	.	.	PUNCT
cana-4889	26	1	to	to	PART
cana-4889	26	2	enhance	enhance	VERB
cana-4889	26	3	business	business	NOUN
cana-4889	26	4	productivity	productivity	NOUN
cana-4889	26	5	and	and	CCONJ
cana-4889	26	6	manage	manage	VERB
cana-4889	26	7	the	the	DET
cana-4889	26	8	dynamism	dynamism	NOUN
cana-4889	26	9	in	in	ADP
cana-4889	26	10	the	the	DET
cana-4889	26	11	business	business	NOUN
cana-4889	26	12	process	process	NOUN
cana-4889	26	13	with	with	ADP
cana-4889	26	14	a	a	DET
cana-4889	26	15	massive	massive	ADJ
cana-4889	26	16	amount	amount	NOUN
cana-4889	26	17	of	of	ADP
cana-4889	26	18	information	information	NOUN
cana-4889	26	19	,	,	PUNCT
cana-4889	26	20	all	all	DET
cana-4889	26	21	business	business	NOUN
cana-4889	26	22	owners	owner	NOUN
cana-4889	26	23	migrate	migrate	VERB
cana-4889	26	24	their	their	PRON
cana-4889	26	25	operations	operation	NOUN
cana-4889	26	26	and	and	CCONJ
cana-4889	26	27	data	datum	NOUN
cana-4889	26	28	to	to	ADP
cana-4889	26	29	cloud	cloud	NOUN
cana-4889	26	30	computing	computing	NOUN
cana-4889	26	31	.	.	PUNCT
cana-4889	27	1	sales	sale	NOUN
cana-4889	27	2	and	and	CCONJ
cana-4889	27	3	marketing	marketing	NOUN
cana-4889	27	4	,	,	PUNCT
cana-4889	27	5	banking	banking	NOUN
cana-4889	27	6	,	,	PUNCT
cana-4889	27	7	retailing	retailing	NOUN
cana-4889	27	8	,	,	PUNCT
cana-4889	27	9	trading	trading	NOUN
cana-4889	27	10	like	like	ADP
cana-4889	27	11	business	business	NOUN
cana-4889	27	12	activities	activity	NOUN
cana-4889	27	13	have	have	AUX
cana-4889	27	14	been	be	AUX
cana-4889	27	15	monitored	monitor	VERB
cana-4889	27	16	through	through	ADP
cana-4889	27	17	cloud	cloud	NOUN
cana-4889	27	18	computing	computing	NOUN
cana-4889	27	19	applications	application	NOUN
cana-4889	27	20	literature	literature	PROPN
cana-4889	27	21	review	review	PROPN
cana-4889	27	22	lu	lu	PROPN
cana-4889	27	23	ming	ming	PROPN
cana-4889	27	24	xin	xin	PROPN
cana-4889	27	25	et	et	PROPN
cana-4889	27	26	al	al	PROPN
cana-4889	27	27	.	.	PROPN
cana-4889	28	1	(	(	PUNCT
cana-4889	28	2	2007	2007	NUM
cana-4889	28	3	)	)	PUNCT
cana-4889	28	4	designed	design	VERB
cana-4889	28	5	a	a	DET
cana-4889	28	6	symmetric	symmetric	ADJ
cana-4889	28	7	key	key	ADJ
cana-4889	28	8	cryptosystem	cryptosystem	NOUN
cana-4889	28	9	based	base	VERB
cana-4889	28	10	on	on	ADP
cana-4889	28	11	dna	dna	PROPN
cana-4889	28	12	biotechnology	biotechnology	NOUN
cana-4889	28	13	.	.	PUNCT
cana-4889	29	1	dna	dna	PROPN
cana-4889	29	2	probes	probe	NOUN
cana-4889	29	3	are	be	AUX
cana-4889	29	4	used	use	VERB
cana-4889	29	5	to	to	PART
cana-4889	29	6	generate	generate	VERB
cana-4889	29	7	keys	key	NOUN
cana-4889	29	8	to	to	PART
cana-4889	29	9	perform	perform	VERB
cana-4889	29	10	encryption	encryption	NOUN
cana-4889	29	11	&	&	CCONJ
cana-4889	29	12	decryption	decryption	NOUN
cana-4889	29	13	.	.	PUNCT
cana-4889	30	1	dna	dna	PROPN
cana-4889	30	2	fabrication	fabrication	NOUN
cana-4889	30	3	and	and	CCONJ
cana-4889	30	4	hybridization	hybridization	NOUN
cana-4889	30	5	processes	process	NOUN
cana-4889	30	6	mapped	map	VERB
cana-4889	30	7	as	as	ADP
cana-4889	30	8	encryption	encryption	NOUN
cana-4889	30	9	and	and	CCONJ
cana-4889	30	10	decryption	decryption	NOUN
cana-4889	30	11	algorithms	algorithm	NOUN
cana-4889	30	12	,	,	PUNCT
cana-4889	30	13	respectively	respectively	ADV
cana-4889	30	14	.	.	PUNCT
cana-4889	31	1	the	the	DET
cana-4889	31	2	proposed	propose	VERB
cana-4889	31	3	cryptosystem	cryptosystem	NOUN
cana-4889	31	4	security	security	NOUN
cana-4889	31	5	relies	rely	VERB
cana-4889	31	6	on	on	ADP
cana-4889	31	7	biological	biological	ADJ
cana-4889	31	8	security	security	NOUN
cana-4889	31	9	and	and	CCONJ
cana-4889	31	10	computational	computational	ADJ
cana-4889	31	11	difficulty	difficulty	NOUN
cana-4889	31	12	.	.	PUNCT
cana-4889	32	1	however	however	ADV
cana-4889	32	2	,	,	PUNCT
cana-4889	32	3	further	far	ADV
cana-4889	32	4	,	,	PUNCT
cana-4889	32	5	the	the	DET
cana-4889	32	6	cryptosystem	cryptosystem	NOUN
cana-4889	32	7	need	need	VERB
cana-4889	32	8	to	to	PART
cana-4889	32	9	be	be	AUX
cana-4889	32	10	enhanced	enhance	VERB
cana-4889	32	11	as	as	ADP
cana-4889	32	12	standard	standard	ADJ
cana-4889	32	13	cryptosystem	cryptosystem	NOUN
cana-4889	32	14	.	.	PUNCT
cana-4889	33	1	hovavshacham	hovavshacham	PROPN
cana-4889	33	2	&	&	CCONJ
cana-4889	33	3	brentwaters	brentwaters	PROPN
cana-4889	33	4	(	(	PUNCT
cana-4889	33	5	2008	2008	NUM
cana-4889	33	6	)	)	PUNCT
cana-4889	33	7	proposed	propose	VERB
cana-4889	33	8	proof	proof	NOUN
cana-4889	33	9	of	of	ADP
cana-4889	33	10	retrievability	retrievability	NOUN
cana-4889	33	11	in	in	ADP
cana-4889	33	12	two	two	NUM
cana-4889	33	13	schemes	scheme	NOUN
cana-4889	33	14	with	with	ADP
cana-4889	33	15	security	security	NOUN
cana-4889	33	16	proofs	proof	NOUN
cana-4889	33	17	against	against	ADP
cana-4889	33	18	the	the	DET
cana-4889	33	19	untrusted	untrusted	ADJ
cana-4889	33	20	server	server	NOUN
cana-4889	33	21	's	's	PART
cana-4889	33	22	adversaries	adversary	NOUN
cana-4889	33	23	.	.	PUNCT
cana-4889	34	1	the	the	DET
cana-4889	34	2	first	first	ADJ
cana-4889	34	3	scheme	scheme	NOUN
cana-4889	34	4	is	be	AUX
cana-4889	34	5	based	base	VERB
cana-4889	34	6	on	on	ADP
cana-4889	34	7	the	the	DET
cana-4889	34	8	random	random	ADJ
cana-4889	34	9	oracle	oracle	NOUN
cana-4889	34	10	model	model	NOUN
cana-4889	34	11	and	and	CCONJ
cana-4889	34	12	bls	bls	PROPN
cana-4889	34	13	signature	signature	NOUN
cana-4889	34	14	.	.	PUNCT
cana-4889	35	1	here	here	ADV
cana-4889	35	2	,	,	PUNCT
cana-4889	35	3	the	the	DET
cana-4889	35	4	client	client	NOUN
cana-4889	35	5	or	or	CCONJ
cana-4889	35	6	any	any	DET
cana-4889	35	7	user	user	NOUN
cana-4889	35	8	can	can	AUX
cana-4889	35	9	act	act	VERB
cana-4889	35	10	as	as	ADP
cana-4889	35	11	a	a	DET
cana-4889	35	12	verifier	verifier	NOUN
cana-4889	35	13	to	to	PART
cana-4889	35	14	check	check	VERB
cana-4889	35	15	the	the	DET
cana-4889	35	16	integrity	integrity	NOUN
cana-4889	35	17	of	of	ADP
cana-4889	35	18	the	the	DET
cana-4889	35	19	stored	store	VERB
cana-4889	35	20	data	datum	NOUN
cana-4889	35	21	,	,	PUNCT
cana-4889	35	22	known	know	VERB
cana-4889	35	23	as	as	ADP
cana-4889	35	24	public	public	ADJ
cana-4889	35	25	verification	verification	NOUN
cana-4889	35	26	.	.	PUNCT
cana-4889	36	1	pseudo	pseudo	NOUN
cana-4889	36	2	-	-	ADJ
cana-4889	36	3	random	random	ADJ
cana-4889	36	4	functions	function	NOUN
cana-4889	36	5	are	be	AUX
cana-4889	36	6	used	use	VERB
cana-4889	36	7	in	in	ADP
cana-4889	36	8	the	the	DET
cana-4889	36	9	second	second	ADJ
cana-4889	36	10	scheme	scheme	NOUN
cana-4889	36	11	.	.	PUNCT
cana-4889	37	1	this	this	PRON
cana-4889	37	2	is	be	AUX
cana-4889	37	3	private	private	ADJ
cana-4889	37	4	verification	verification	NOUN
cana-4889	37	5	,	,	PUNCT
cana-4889	37	6	where	where	SCONJ
cana-4889	37	7	the	the	DET
cana-4889	37	8	data	data	NOUN
cana-4889	37	9	owner	owner	NOUN
cana-4889	37	10	only	only	ADV
cana-4889	37	11	can	can	AUX
cana-4889	37	12	verify	verify	VERB
cana-4889	37	13	the	the	DET
cana-4889	37	14	correctness	correctness	NOUN
cana-4889	37	15	of	of	ADP
cana-4889	37	16	the	the	DET
cana-4889	37	17	stored	store	VERB
cana-4889	37	18	data	datum	NOUN
cana-4889	37	19	.	.	PUNCT
cana-4889	38	1	both	both	DET
cana-4889	38	2	schemes	scheme	NOUN
cana-4889	38	3	consume	consume	VERB
cana-4889	38	4	more	more	ADJ
cana-4889	38	5	time	time	NOUN
cana-4889	38	6	in	in	ADP
cana-4889	38	7	generating	generate	VERB
cana-4889	38	8	and	and	CCONJ
cana-4889	38	9	communicating	communicate	VERB
cana-4889	38	10	client	client	NOUN
cana-4889	38	11	challenges	challenge	NOUN
cana-4889	38	12	to	to	ADP
cana-4889	38	13	the	the	DET
cana-4889	38	14	untrusted	untrusted	ADJ
cana-4889	38	15	server	server	NOUN
cana-4889	38	16	.	.	PUNCT
cana-4889	39	1	chris	chris	PROPN
cana-4889	39	2	erway	erway	PROPN
cana-4889	39	3	et	et	PROPN
cana-4889	39	4	al	al	PROPN
cana-4889	39	5	.	.	PROPN
cana-4889	40	1	(	(	PUNCT
cana-4889	40	2	2009	2009	NUM
cana-4889	40	3	)	)	PUNCT
cana-4889	40	4	presented	present	VERB
cana-4889	40	5	provable	provable	ADJ
cana-4889	40	6	data	datum	NOUN
cana-4889	40	7	possession	possession	NOUN
cana-4889	40	8	for	for	ADP
cana-4889	40	9	dynamic	dynamic	ADJ
cana-4889	40	10	data	datum	NOUN
cana-4889	40	11	in	in	ADP
cana-4889	40	12	outsourced	outsourced	ADJ
cana-4889	40	13	file	file	NOUN
cana-4889	40	14	systems	system	NOUN
cana-4889	40	15	&	&	CCONJ
cana-4889	40	16	version	version	PROPN
cana-4889	40	17	control	control	NOUN
cana-4889	40	18	systems	system	NOUN
cana-4889	40	19	.	.	PUNCT
cana-4889	41	1	the	the	DET
cana-4889	41	2	presented	present	VERB
cana-4889	41	3	scheme	scheme	NOUN
cana-4889	41	4	verifies	verifie	NOUN
cana-4889	41	5	integrity	integrity	NOUN
cana-4889	41	6	of	of	ADP
cana-4889	41	7	the	the	DET
cana-4889	41	8	dynamically	dynamically	ADV
cana-4889	41	9	updated	update	VERB
cana-4889	41	10	data	datum	NOUN
cana-4889	41	11	using	use	VERB
cana-4889	41	12	rank	rank	NOUN
cana-4889	41	13	-	-	PUNCT
cana-4889	41	14	based	base	VERB
cana-4889	41	15	authenticated	authenticate	VERB
cana-4889	41	16	skiplists	skiplist	NOUN
cana-4889	41	17	data	datum	NOUN
cana-4889	41	18	structure	structure	NOUN
cana-4889	41	19	.	.	PUNCT
cana-4889	42	1	the	the	DET
cana-4889	42	2	challenge	challenge	NOUN
cana-4889	42	3	&	&	CCONJ
cana-4889	42	4	response	response	NOUN
cana-4889	42	5	of	of	ADP
cana-4889	42	6	the	the	DET
cana-4889	42	7	integrity	integrity	NOUN
cana-4889	42	8	verification	verification	NOUN
cana-4889	42	9	were	be	AUX
cana-4889	42	10	performed	perform	VERB
cana-4889	42	11	without	without	ADP
cana-4889	42	12	retrieving	retrieve	VERB
cana-4889	42	13	original	original	ADJ
cana-4889	42	14	data	datum	NOUN
cana-4889	42	15	.	.	PUNCT
cana-4889	43	1	experimental	experimental	ADJ
cana-4889	43	2	results	result	NOUN
cana-4889	43	3	show	show	VERB
cana-4889	43	4	that	that	SCONJ
cana-4889	43	5	proposed	propose	VERB
cana-4889	43	6	protocol	protocol	NOUN
cana-4889	43	7	is	be	AUX
cana-4889	43	8	not	not	PART
cana-4889	43	9	concrete	concrete	ADJ
cana-4889	43	10	for	for	ADP
cana-4889	43	11	real	real	ADJ
cana-4889	43	12	-	-	PUNCT
cana-4889	43	13	time	time	NOUN
cana-4889	43	14	applications	application	NOUN
cana-4889	43	15	.	.	PUNCT
cana-4889	44	1	lai	lai	PROPN
cana-4889	44	2	xue	xue	PROPN
cana-4889	44	3	jia	jia	PROPN
cana-4889	44	4	etal	etal	PROPN
cana-4889	44	5	.	.	PUNCT
cana-4889	45	1	(	(	PUNCT
cana-4889	45	2	2010	2010	NUM
cana-4889	45	3	)	)	PUNCT
cana-4889	45	4	proposed	propose	VERB
cana-4889	45	5	asymmetric	asymmetric	ADJ
cana-4889	45	6	encryption	encryption	NOUN
cana-4889	45	7	&	&	CCONJ
cana-4889	45	8	signature	signature	NOUN
cana-4889	45	9	method	method	NOUN
cana-4889	45	10	based	base	VERB
cana-4889	45	11	on	on	ADP
cana-4889	45	12	dna	dna	PROPN
cana-4889	45	13	technology	technology	NOUN
cana-4889	45	14	,	,	PUNCT
cana-4889	45	15	where	where	SCONJ
cana-4889	45	16	2	2	NUM
cana-4889	45	17	pairs	pair	NOUN
cana-4889	45	18	of	of	ADP
cana-4889	45	19	keys	key	NOUN
cana-4889	45	20	are	be	AUX
cana-4889	45	21	used	use	VERB
cana-4889	45	22	for	for	ADP
cana-4889	45	23	encryption	encryption	NOUN
cana-4889	45	24	&	&	CCONJ
cana-4889	45	25	signature	signature	NOUN
cana-4889	45	26	,	,	PUNCT
cana-4889	45	27	respectively	respectively	ADV
cana-4889	45	28	.	.	PUNCT
cana-4889	46	1	like	like	ADP
cana-4889	46	2	the	the	DET
cana-4889	46	3	traditional	traditional	ADJ
cana-4889	46	4	cryptosystem	cryptosystem	NOUN
cana-4889	46	5	,	,	PUNCT
cana-4889	46	6	two	two	NUM
cana-4889	46	7	keys	key	NOUN
cana-4889	46	8	are	be	AUX
cana-4889	46	9	used	use	VERB
cana-4889	46	10	,	,	PUNCT
cana-4889	46	11	where	where	SCONJ
cana-4889	46	12	the	the	DET
cana-4889	46	13	receiver	receiver	ADJ
cana-4889	46	14	public	public	ADJ
cana-4889	46	15	key	key	NOUN
cana-4889	46	16	is	be	AUX
cana-4889	46	17	used	use	VERB
cana-4889	46	18	for	for	ADP
cana-4889	46	19	encryption	encryption	NOUN
cana-4889	46	20	&	&	CCONJ
cana-4889	46	21	receiver	receiver	NOUN
cana-4889	46	22	's	's	PART
cana-4889	46	23	private	private	ADJ
cana-4889	46	24	key	key	NOUN
cana-4889	46	25	used	use	VERB
cana-4889	46	26	for	for	ADP
cana-4889	46	27	the	the	DET
cana-4889	46	28	decryption	decryption	NOUN
cana-4889	46	29	process	process	NOUN
cana-4889	46	30	.	.	PUNCT
cana-4889	47	1	for	for	ADP
cana-4889	47	2	signature	signature	NOUN
cana-4889	47	3	,	,	PUNCT
cana-4889	47	4	the	the	DET
cana-4889	47	5	sender	sender	NOUN
cana-4889	47	6	's	's	PART
cana-4889	47	7	private	private	ADJ
cana-4889	47	8	key	key	NOUN
cana-4889	47	9	is	be	AUX
cana-4889	47	10	used	use	VERB
cana-4889	47	11	for	for	ADP
cana-4889	47	12	signing	sign	VERB
cana-4889	47	13	.	.	PUNCT
cana-4889	48	1	the	the	DET
cana-4889	48	2	sender	sender	NOUN
cana-4889	48	3	's	's	PART
cana-4889	48	4	public	public	ADJ
cana-4889	48	5	key	key	NOUN
cana-4889	48	6	is	be	AUX
cana-4889	48	7	used	use	VERB
cana-4889	48	8	for	for	ADP
cana-4889	48	9	signature	signature	NOUN
cana-4889	48	10	verification	verification	NOUN
cana-4889	48	11	.	.	PUNCT
cana-4889	49	1	dna	dna	PROPN
cana-4889	49	2	molecules	molecule	NOUN
cana-4889	49	3	are	be	AUX
cana-4889	49	4	used	use	VERB
cana-4889	49	5	to	to	PART
cana-4889	49	6	represent	represent	VERB
cana-4889	49	7	keys	key	NOUN
cana-4889	49	8	and	and	CCONJ
cana-4889	49	9	ciphertext	ciphertext	NOUN
cana-4889	49	10	.	.	PUNCT
cana-4889	50	1	the	the	DET
cana-4889	50	2	proposed	propose	VERB
cana-4889	50	3	cryptosystem	cryptosystem	NOUN
cana-4889	50	4	is	be	AUX
cana-4889	50	5	efficient	efficient	ADJ
cana-4889	50	6	,	,	PUNCT
cana-4889	50	7	secure	secure	ADJ
cana-4889	50	8	because	because	SCONJ
cana-4889	50	9	of	of	ADP
cana-4889	50	10	dna	dna	PROPN
cana-4889	50	11	biological	biological	ADJ
cana-4889	50	12	process	process	NOUN
cana-4889	50	13	and	and	CCONJ
cana-4889	50	14	immune	immune	ADJ
cana-4889	50	15	from	from	ADP
cana-4889	50	16	quantum	quantum	NOUN
cana-4889	50	17	computing	computing	NOUN
cana-4889	50	18	based	base	VERB
cana-4889	50	19	attacks	attack	NOUN
cana-4889	50	20	.	.	PUNCT
cana-4889	51	1	communications	communication	NOUN
cana-4889	51	2	on	on	ADP
cana-4889	51	3	applied	apply	VERB
cana-4889	51	4	nonlinear	nonlinear	ADJ
cana-4889	51	5	analysis	analysis	NOUN
cana-4889	51	6	issn	issn	NOUN
cana-4889	51	7	:	:	PUNCT
cana-4889	51	8	1074	1074	NUM
cana-4889	51	9	-	-	PUNCT
cana-4889	51	10	133x	133x	NUM
cana-4889	51	11	vol	vol	NOUN
cana-4889	51	12	32	32	NUM
cana-4889	51	13	no	no	NOUN
cana-4889	51	14	.	.	NOUN
cana-4889	51	15	1	1	NUM
cana-4889	51	16	(	(	PUNCT
cana-4889	51	17	2025	2025	NUM
cana-4889	51	18	)	)	PUNCT
cana-4889	51	19	419	419	NUM
cana-4889	51	20	https://internationalpubls.com	https://internationalpubls.com	PROPN
cana-4889	51	21	giuseppe	giuseppe	PROPN
cana-4889	51	22	atenieseetal	atenieseetal	PROPN
cana-4889	51	23	.	.	PUNCT
cana-4889	52	1	(	(	PUNCT
cana-4889	52	2	2011	2011	NUM
cana-4889	52	3	)	)	PUNCT
cana-4889	52	4	identified	identify	VERB
cana-4889	52	5	another	another	DET
cana-4889	52	6	provable	provable	ADJ
cana-4889	52	7	data	datum	NOUN
cana-4889	52	8	possession	possession	NOUN
cana-4889	52	9	scheme	scheme	NOUN
cana-4889	52	10	for	for	ADP
cana-4889	52	11	reducing	reduce	VERB
cana-4889	52	12	communication	communication	NOUN
cana-4889	52	13	cost	cost	NOUN
cana-4889	52	14	,	,	PUNCT
cana-4889	52	15	computation	computation	NOUN
cana-4889	52	16	cost	cost	NOUN
cana-4889	52	17	,	,	PUNCT
cana-4889	52	18	and	and	CCONJ
cana-4889	52	19	block	block	NOUN
cana-4889	52	20	access	access	NOUN
cana-4889	52	21	cost	cost	NOUN
cana-4889	52	22	compared	compare	VERB
cana-4889	52	23	to	to	ADP
cana-4889	52	24	previous	previous	ADJ
cana-4889	52	25	schemes	scheme	NOUN
cana-4889	52	26	.	.	PUNCT
cana-4889	53	1	the	the	DET
cana-4889	53	2	research	research	NOUN
cana-4889	53	3	proposes	propose	VERB
cana-4889	53	4	two	two	NUM
cana-4889	53	5	provable	provable	ADJ
cana-4889	53	6	data	datum	NOUN
cana-4889	53	7	possession	possession	NOUN
cana-4889	53	8	schemes	scheme	NOUN
cana-4889	53	9	,	,	PUNCT
cana-4889	53	10	namely	namely	ADV
cana-4889	53	11	s	s	PROPN
cana-4889	53	12	-	-	PUNCT
cana-4889	53	13	pdp	pdp	PROPN
cana-4889	53	14	&	&	CCONJ
cana-4889	53	15	e	e	PROPN
cana-4889	53	16	-	-	PROPN
cana-4889	53	17	pdp	pdp	PROPN
cana-4889	53	18	.	.	PUNCT
cana-4889	54	1	s	s	X
cana-4889	54	2	-	-	PUNCT
cana-4889	54	3	pdp	pdp	PROPN
cana-4889	54	4	scheme	scheme	NOUN
cana-4889	54	5	proves	prove	VERB
cana-4889	54	6	the	the	DET
cana-4889	54	7	data	data	NOUN
cana-4889	54	8	possession	possession	NOUN
cana-4889	54	9	at	at	ADP
cana-4889	54	10	the	the	DET
cana-4889	54	11	untrusted	untrusted	ADJ
cana-4889	54	12	server	server	NOUN
cana-4889	54	13	.	.	PUNCT
cana-4889	55	1	e	e	X
cana-4889	55	2	-	-	PUNCT
cana-4889	55	3	pdp	pdp	PROPN
cana-4889	55	4	improves	improve	VERB
cana-4889	55	5	the	the	DET
cana-4889	55	6	performance	performance	NOUN
cana-4889	55	7	of	of	ADP
cana-4889	55	8	spdp	spdp	NOUN
cana-4889	55	9	by	by	ADP
cana-4889	55	10	reducing	reduce	VERB
cana-4889	55	11	the	the	DET
cana-4889	55	12	computation	computation	NOUN
cana-4889	55	13	on	on	ADP
cana-4889	55	14	the	the	DET
cana-4889	55	15	server	server	PROPN
cana-4889	55	16	&	&	CCONJ
cana-4889	55	17	client	client	NOUN
cana-4889	55	18	-	-	PUNCT
cana-4889	55	19	side	side	NOUN
cana-4889	55	20	.	.	PUNCT
cana-4889	56	1	the	the	DET
cana-4889	56	2	proposed	propose	VERB
cana-4889	56	3	scheme	scheme	NOUN
cana-4889	56	4	ensures	ensure	VERB
cana-4889	56	5	the	the	DET
cana-4889	56	6	integrity	integrity	NOUN
cana-4889	56	7	of	of	ADP
cana-4889	56	8	the	the	DET
cana-4889	56	9	outsourced	outsourced	ADJ
cana-4889	56	10	data	datum	NOUN
cana-4889	56	11	in	in	ADP
cana-4889	56	12	the	the	DET
cana-4889	56	13	untrusted	untrusted	ADJ
cana-4889	56	14	server	server	NOUN
cana-4889	56	15	.	.	PUNCT
cana-4889	57	1	peng	peng	PROPN
cana-4889	57	2	yong	yong	PROPN
cana-4889	57	3	et	et	PROPN
cana-4889	57	4	al	al	PROPN
cana-4889	57	5	.	.	PROPN
cana-4889	58	1	(	(	PUNCT
cana-4889	58	2	2012	2012	NUM
cana-4889	58	3	)	)	PUNCT
cana-4889	58	4	analyzed	analyze	VERB
cana-4889	58	5	the	the	DET
cana-4889	58	6	researcher	researcher	NOUN
cana-4889	58	7	's	's	PART
cana-4889	58	8	contributions	contribution	NOUN
cana-4889	58	9	to	to	PART
cana-4889	58	10	adapt	adapt	VERB
cana-4889	58	11	cryptographic	cryptographic	ADJ
cana-4889	58	12	techniques	technique	NOUN
cana-4889	58	13	for	for	ADP
cana-4889	58	14	cloud	cloud	ADJ
cana-4889	58	15	storage	storage	NOUN
cana-4889	58	16	security	security	NOUN
cana-4889	58	17	.	.	PUNCT
cana-4889	59	1	the	the	DET
cana-4889	59	2	link	link	NOUN
cana-4889	59	3	between	between	ADP
cana-4889	59	4	cloud	cloud	NOUN
cana-4889	59	5	storage	storage	NOUN
cana-4889	59	6	and&cryptographic	and&cryptographic	PROPN
cana-4889	59	7	techniques	technique	NOUN
cana-4889	59	8	was	be	AUX
cana-4889	59	9	examined	examine	VERB
cana-4889	59	10	in	in	ADP
cana-4889	59	11	order	order	NOUN
cana-4889	59	12	to	to	PART
cana-4889	59	13	determine	determine	VERB
cana-4889	59	14	the	the	DET
cana-4889	59	15	chance	chance	NOUN
cana-4889	59	16	of	of	ADP
cana-4889	59	17	cryptographic	cryptographic	ADJ
cana-4889	59	18	approaches	approach	NOUN
cana-4889	59	19	being	be	AUX
cana-4889	59	20	used	use	VERB
cana-4889	59	21	in	in	ADP
cana-4889	59	22	cloud	cloud	NOUN
cana-4889	59	23	storage	storage	NOUN
cana-4889	59	24	.	.	PUNCT
cana-4889	60	1	according	accord	VERB
cana-4889	60	2	to	to	ADP
cana-4889	60	3	the	the	DET
cana-4889	60	4	research	research	NOUN
cana-4889	60	5	findings	finding	NOUN
cana-4889	60	6	,	,	PUNCT
cana-4889	60	7	using	use	VERB
cana-4889	60	8	cryptographic	cryptographic	ADJ
cana-4889	60	9	techniques	technique	NOUN
cana-4889	60	10	in	in	ADP
cana-4889	60	11	cloud	cloud	ADJ
cana-4889	60	12	storage	storage	NOUN
cana-4889	60	13	protects	protect	VERB
cana-4889	60	14	the	the	DET
cana-4889	60	15	security	security	NOUN
cana-4889	60	16	of	of	ADP
cana-4889	60	17	data	datum	NOUN
cana-4889	60	18	saved	save	VERB
cana-4889	60	19	in	in	ADP
cana-4889	60	20	the	the	DET
cana-4889	60	21	cloud	cloud	NOUN
cana-4889	60	22	and	and	CCONJ
cana-4889	60	23	gives	give	VERB
cana-4889	60	24	a	a	DET
cana-4889	60	25	research	research	NOUN
cana-4889	60	26	path	path	NOUN
cana-4889	60	27	for	for	ADP
cana-4889	60	28	creating	create	VERB
cana-4889	60	29	efficient	efficient	ADJ
cana-4889	60	30	cryptographic	cryptographic	ADJ
cana-4889	60	31	solutions	solution	NOUN
cana-4889	60	32	to	to	PART
cana-4889	60	33	improve	improve	VERB
cana-4889	60	34	cloud	cloud	ADJ
cana-4889	60	35	storage	storage	NOUN
cana-4889	60	36	security	security	NOUN
cana-4889	60	37	.	.	PUNCT
cana-4889	61	1	cong	cong	NOUN
cana-4889	61	2	wangetal	wangetal	ADJ
cana-4889	61	3	.	.	PUNCT
cana-4889	62	1	(	(	PUNCT
cana-4889	62	2	2013	2013	NUM
cana-4889	62	3	)	)	PUNCT
cana-4889	62	4	suggested	suggest	VERB
cana-4889	62	5	a	a	DET
cana-4889	62	6	privacy	privacy	NOUN
cana-4889	62	7	-	-	PUNCT
cana-4889	62	8	preserving	preserve	VERB
cana-4889	62	9	public	public	ADJ
cana-4889	62	10	auditing	auditing	NOUN
cana-4889	62	11	method	method	NOUN
cana-4889	62	12	to	to	PART
cana-4889	62	13	ensure	ensure	VERB
cana-4889	62	14	the	the	DET
cana-4889	62	15	integrity	integrity	NOUN
cana-4889	62	16	of	of	ADP
cana-4889	62	17	cloud	cloud	NOUN
cana-4889	62	18	data	datum	NOUN
cana-4889	62	19	.	.	PUNCT
cana-4889	63	1	the	the	DET
cana-4889	63	2	study	study	NOUN
cana-4889	63	3	focuses	focus	VERB
cana-4889	63	4	on	on	ADP
cana-4889	63	5	data	data	NOUN
cana-4889	63	6	auditing	auditing	NOUN
cana-4889	63	7	utilizing	utilize	VERB
cana-4889	63	8	tpa	tpa	NOUN
cana-4889	63	9	with	with	ADP
cana-4889	63	10	the	the	DET
cana-4889	63	11	least	least	ADJ
cana-4889	63	12	amount	amount	NOUN
cana-4889	63	13	of	of	ADP
cana-4889	63	14	communication	communication	NOUN
cana-4889	63	15	and	and	CCONJ
cana-4889	63	16	processing	processing	NOUN
cana-4889	63	17	overhead	overhead	NOUN
cana-4889	63	18	.	.	PUNCT
cana-4889	64	1	the	the	DET
cana-4889	64	2	protocol	protocol	NOUN
cana-4889	64	3	employs	employ	VERB
cana-4889	64	4	random	random	ADJ
cana-4889	64	5	masking	masking	NOUN
cana-4889	64	6	&	&	CCONJ
cana-4889	64	7	homomorphic	homomorphic	ADJ
cana-4889	64	8	linear	linear	ADJ
cana-4889	64	9	authenticator	authenticator	NOUN
cana-4889	64	10	to	to	PART
cana-4889	64	11	protect	protect	VERB
cana-4889	64	12	data	datum	NOUN
cana-4889	64	13	privacy	privacy	NOUN
cana-4889	64	14	(	(	PUNCT
cana-4889	64	15	i.e.	i.e.	X
cana-4889	64	16	,	,	PUNCT
cana-4889	64	17	tpa	tpa	PROPN
cana-4889	64	18	can	can	AUX
cana-4889	64	19	not	not	PART
cana-4889	64	20	discover	discover	VERB
cana-4889	64	21	the	the	DET
cana-4889	64	22	real	real	ADJ
cana-4889	64	23	contents	content	NOUN
cana-4889	64	24	stored	store	VERB
cana-4889	64	25	in	in	ADP
cana-4889	64	26	the	the	DET
cana-4889	64	27	cloud	cloud	NOUN
cana-4889	64	28	while	while	SCONJ
cana-4889	64	29	doing	do	VERB
cana-4889	64	30	audits	audits	NOUN
cana-4889	64	31	)	)	PUNCT
cana-4889	64	32	.	.	PUNCT
cana-4889	65	1	message	message	NOUN
cana-4889	65	2	authentication	authentication	NOUN
cana-4889	65	3	code	code	NOUN
cana-4889	65	4	and	and	CCONJ
cana-4889	65	5	cryptographic	cryptographic	ADJ
cana-4889	65	6	hash	hash	NOUN
cana-4889	65	7	functions	function	NOUN
cana-4889	65	8	are	be	AUX
cana-4889	65	9	used	use	VERB
cana-4889	65	10	to	to	PART
cana-4889	65	11	perform	perform	VERB
cana-4889	65	12	public	public	ADJ
cana-4889	65	13	auditing	auditing	NOUN
cana-4889	65	14	.	.	PUNCT
cana-4889	66	1	the	the	DET
cana-4889	66	2	implementation	implementation	NOUN
cana-4889	66	3	of	of	ADP
cana-4889	66	4	the	the	DET
cana-4889	66	5	protocol	protocol	NOUN
cana-4889	66	6	for	for	ADP
cana-4889	66	7	real	real	ADJ
cana-4889	66	8	-	-	PUNCT
cana-4889	66	9	time	time	NOUN
cana-4889	66	10	applications	application	NOUN
cana-4889	66	11	in	in	ADP
cana-4889	66	12	the	the	DET
cana-4889	66	13	public	public	ADJ
cana-4889	66	14	cloud	cloud	NOUN
cana-4889	66	15	is	be	AUX
cana-4889	66	16	left	leave	VERB
cana-4889	66	17	as	as	ADP
cana-4889	66	18	future	future	ADJ
cana-4889	66	19	extension	extension	NOUN
cana-4889	66	20	work	work	NOUN
cana-4889	66	21	.	.	PUNCT
cana-4889	67	1	yushu	yushu	PROPN
cana-4889	67	2	zhangetal	zhangetal	ADJ
cana-4889	67	3	.	.	PUNCT
cana-4889	68	1	(	(	PUNCT
cana-4889	68	2	2014	2014	NUM
cana-4889	68	3	)	)	PUNCT
cana-4889	68	4	studied	study	VERB
cana-4889	68	5	the	the	DET
cana-4889	68	6	security	security	NOUN
cana-4889	68	7	issues	issue	NOUN
cana-4889	68	8	of	of	ADP
cana-4889	68	9	dna	dna	PROPN
cana-4889	68	10	coding	code	VERB
cana-4889	68	11	based	base	VERB
cana-4889	68	12	symmetric	symmetric	ADJ
cana-4889	68	13	ciphers	cipher	NOUN
cana-4889	68	14	.	.	PUNCT
cana-4889	69	1	random	random	ADJ
cana-4889	69	2	coding	coding	NOUN
cana-4889	69	3	and	and	CCONJ
cana-4889	69	4	stream	stream	NOUN
cana-4889	69	5	ciphers	cipher	NOUN
cana-4889	69	6	are	be	AUX
cana-4889	69	7	considered	consider	VERB
cana-4889	69	8	to	to	PART
cana-4889	69	9	be	be	AUX
cana-4889	69	10	general	general	ADJ
cana-4889	69	11	models	model	NOUN
cana-4889	69	12	.	.	PUNCT
cana-4889	70	1	chaos	chaos	NOUN
cana-4889	70	2	theory	theory	NOUN
cana-4889	70	3	and	and	CCONJ
cana-4889	70	4	dna	dna	PROPN
cana-4889	70	5	computing	computing	NOUN
cana-4889	70	6	are	be	AUX
cana-4889	70	7	used	use	VERB
cana-4889	70	8	to	to	PART
cana-4889	70	9	develop	develop	VERB
cana-4889	70	10	encryption	encryption	NOUN
cana-4889	70	11	schemes	scheme	NOUN
cana-4889	70	12	with	with	ADP
cana-4889	70	13	general	general	ADJ
cana-4889	70	14	models	model	NOUN
cana-4889	70	15	.	.	PUNCT
cana-4889	71	1	the	the	DET
cana-4889	71	2	research	research	NOUN
cana-4889	71	3	work	work	NOUN
cana-4889	71	4	provides	provide	VERB
cana-4889	71	5	a	a	DET
cana-4889	71	6	base	base	NOUN
cana-4889	71	7	to	to	PART
cana-4889	71	8	develop	develop	VERB
cana-4889	71	9	and	and	CCONJ
cana-4889	71	10	design	design	VERB
cana-4889	71	11	dna	dna	PROPN
cana-4889	71	12	based	base	VERB
cana-4889	71	13	cryptosystems	cryptosystem	NOUN
cana-4889	71	14	.	.	PUNCT
cana-4889	72	1	chang	chang	PROPN
cana-4889	72	2	liu	liu	PROPN
cana-4889	72	3	etal	etal	PROPN
cana-4889	72	4	.	.	PUNCT
cana-4889	73	1	(	(	PUNCT
cana-4889	73	2	2015	2015	NUM
cana-4889	73	3	)	)	PUNCT
cana-4889	73	4	address	address	NOUN
cana-4889	73	5	the	the	DET
cana-4889	73	6	issue	issue	NOUN
cana-4889	73	7	of	of	ADP
cana-4889	73	8	merging	merge	VERB
cana-4889	73	9	public	public	ADJ
cana-4889	73	10	auditing	auditing	NOUN
cana-4889	73	11	and	and	CCONJ
cana-4889	73	12	block	block	NOUN
cana-4889	73	13	indices	index	NOUN
cana-4889	73	14	authentication	authentication	NOUN
cana-4889	73	15	to	to	PART
cana-4889	73	16	ensure	ensure	VERB
cana-4889	73	17	availability	availability	NOUN
cana-4889	73	18	&	&	CCONJ
cana-4889	73	19	integrity	integrity	NOUN
cana-4889	73	20	of	of	ADP
cana-4889	73	21	numerous	numerous	ADJ
cana-4889	73	22	clones	clone	NOUN
cana-4889	73	23	of	of	ADP
cana-4889	73	24	data	datum	NOUN
cana-4889	73	25	.	.	PUNCT
cana-4889	74	1	for	for	ADP
cana-4889	74	2	undertaking	undertake	VERB
cana-4889	74	3	public	public	ADJ
cana-4889	74	4	auditing	auditing	NOUN
cana-4889	74	5	,	,	PUNCT
cana-4889	74	6	the	the	DET
cana-4889	74	7	study	study	NOUN
cana-4889	74	8	presents	present	VERB
cana-4889	74	9	an	an	DET
cana-4889	74	10	authenticated	authenticate	VERB
cana-4889	74	11	data	data	NOUN
cana-4889	74	12	structure	structure	NOUN
cana-4889	74	13	with	with	ADP
cana-4889	74	14	a	a	DET
cana-4889	74	15	multi	multi	ADJ
cana-4889	74	16	-	-	ADJ
cana-4889	74	17	replica	replica	ADJ
cana-4889	74	18	merkle	merkle	NOUN
cana-4889	74	19	tree	tree	NOUN
cana-4889	74	20	.	.	PUNCT
cana-4889	75	1	the	the	DET
cana-4889	75	2	proposed	propose	VERB
cana-4889	75	3	auditing	auditing	NOUN
cana-4889	75	4	technique	technique	NOUN
cana-4889	75	5	confirms	confirm	VERB
cana-4889	75	6	the	the	DET
cana-4889	75	7	integrity	integrity	NOUN
cana-4889	75	8	of	of	ADP
cana-4889	75	9	selected	select	VERB
cana-4889	75	10	blocks	block	NOUN
cana-4889	75	11	as	as	ADV
cana-4889	75	12	well	well	ADV
cana-4889	75	13	as	as	ADP
cana-4889	75	14	all	all	DET
cana-4889	75	15	data	datum	NOUN
cana-4889	75	16	file	file	NOUN
cana-4889	75	17	copies	copy	NOUN
cana-4889	75	18	.	.	PUNCT
cana-4889	76	1	the	the	DET
cana-4889	76	2	technique	technique	NOUN
cana-4889	76	3	can	can	AUX
cana-4889	76	4	carry	carry	VERB
cana-4889	76	5	out	out	ADP
cana-4889	76	6	verifiable	verifiable	ADJ
cana-4889	76	7	dynamic	dynamic	ADJ
cana-4889	76	8	updates	update	NOUN
cana-4889	76	9	.	.	PUNCT
cana-4889	77	1	the	the	DET
cana-4889	77	2	study	study	NOUN
cana-4889	77	3	provides	provide	VERB
cana-4889	77	4	recommendations	recommendation	NOUN
cana-4889	77	5	for	for	ADP
cana-4889	77	6	improving	improve	VERB
cana-4889	77	7	the	the	DET
cana-4889	77	8	auditing	auditing	NOUN
cana-4889	77	9	method	method	NOUN
cana-4889	77	10	for	for	ADP
cana-4889	77	11	streaming	streaming	NOUN
cana-4889	77	12	and	and	CCONJ
cana-4889	77	13	dynamic	dynamic	ADJ
cana-4889	77	14	data	datum	NOUN
cana-4889	77	15	in	in	ADP
cana-4889	77	16	the	the	DET
cana-4889	77	17	cloud	cloud	NOUN
cana-4889	77	18	.	.	PUNCT
cana-4889	78	1	samiha	samiha	PROPN
cana-4889	78	2	marwan	marwan	PROPN
cana-4889	78	3	et	et	PROPN
cana-4889	78	4	al	al	PROPN
cana-4889	78	5	.	.	PROPN
cana-4889	79	1	(	(	PUNCT
cana-4889	79	2	2016	2016	NUM
cana-4889	79	3	)	)	PUNCT
cana-4889	79	4	combined	combine	VERB
cana-4889	79	5	dna	dna	PROPN
cana-4889	79	6	cryptography	cryptography	NOUN
cana-4889	79	7	and	and	CCONJ
cana-4889	79	8	steganography	steganography	NOUN
cana-4889	79	9	techniques	technique	NOUN
cana-4889	79	10	to	to	PART
cana-4889	79	11	ensure	ensure	VERB
cana-4889	79	12	data	datum	NOUN
cana-4889	79	13	security	security	NOUN
cana-4889	79	14	.	.	PUNCT
cana-4889	80	1	modified	modify	VERB
cana-4889	80	2	dna	dna	PROPN
cana-4889	80	3	based	base	VERB
cana-4889	80	4	playfair	playfair	PROPN
cana-4889	80	5	cipher	cipher	PROPN
cana-4889	80	6	used	use	VERB
cana-4889	80	7	to	to	PART
cana-4889	80	8	perform	perform	VERB
cana-4889	80	9	dna	dna	PROPN
cana-4889	80	10	encryption	encryption	NOUN
cana-4889	80	11	,	,	PUNCT
cana-4889	80	12	and	and	CCONJ
cana-4889	80	13	then	then	ADV
cana-4889	80	14	,	,	PUNCT
cana-4889	80	15	the	the	DET
cana-4889	80	16	cipher	cipher	ADJ
cana-4889	80	17	results	result	NOUN
cana-4889	80	18	hidden	hide	VERB
cana-4889	80	19	in	in	ADP
cana-4889	80	20	dna	dna	PROPN
cana-4889	80	21	media	medium	NOUN
cana-4889	80	22	.	.	PUNCT
cana-4889	81	1	the	the	DET
cana-4889	81	2	experimental	experimental	ADJ
cana-4889	81	3	results	result	NOUN
cana-4889	81	4	show	show	VERB
cana-4889	81	5	that	that	SCONJ
cana-4889	81	6	the	the	DET
cana-4889	81	7	proposed	propose	VERB
cana-4889	81	8	cipher	cipher	NOUN
cana-4889	81	9	is	be	AUX
cana-4889	81	10	efficient	efficient	ADJ
cana-4889	81	11	compared	compare	VERB
cana-4889	81	12	to	to	ADP
cana-4889	81	13	existing	exist	VERB
cana-4889	81	14	ciphers	cipher	NOUN
cana-4889	81	15	such	such	ADJ
cana-4889	81	16	as	as	ADP
cana-4889	81	17	vignere	vignere	NOUN
cana-4889	81	18	,	,	PUNCT
cana-4889	81	19	rsa	rsa	PROPN
cana-4889	81	20	,	,	PUNCT
cana-4889	81	21	aes	aes	PROPN
cana-4889	81	22	,	,	PUNCT
cana-4889	81	23	&	&	CCONJ
cana-4889	81	24	dna	dna	PROPN
cana-4889	81	25	based	base	VERB
cana-4889	81	26	playfair	playfair	NOUN
cana-4889	81	27	ciphers	cipher	NOUN
cana-4889	81	28	.	.	PUNCT
cana-4889	82	1	the	the	DET
cana-4889	82	2	proposed	propose	VERB
cana-4889	82	3	cipher	cipher	NOUN
cana-4889	82	4	suggested	suggest	VERB
cana-4889	82	5	being	be	AUX
cana-4889	82	6	furtherly	furtherly	ADV
cana-4889	82	7	enhanced	enhance	VERB
cana-4889	82	8	by	by	ADP
cana-4889	82	9	incorporating	incorporate	VERB
cana-4889	82	10	the	the	DET
cana-4889	82	11	biological	biological	ADJ
cana-4889	82	12	process	process	NOUN
cana-4889	82	13	of	of	ADP
cana-4889	82	14	dna	dna	PROPN
cana-4889	82	15	.	.	PUNCT
cana-4889	83	1	su	su	PROPN
cana-4889	83	2	peng	peng	PROPN
cana-4889	83	3	et	et	PROPN
cana-4889	83	4	al	al	PROPN
cana-4889	83	5	.	.	PROPN
cana-4889	84	1	(	(	PUNCT
cana-4889	84	2	2017	2017	NUM
cana-4889	84	3	)	)	PUNCT
cana-4889	84	4	disclosures	disclosure	VERB
cana-4889	84	5	the	the	DET
cana-4889	84	6	auditors	auditor	NOUN
cana-4889	84	7	problem	problem	VERB
cana-4889	84	8	in	in	ADP
cana-4889	84	9	identifying	identify	VERB
cana-4889	84	10	public	public	ADJ
cana-4889	84	11	keys	key	NOUN
cana-4889	84	12	of	of	ADP
cana-4889	84	13	cloud	cloud	NOUN
cana-4889	84	14	users	user	NOUN
cana-4889	84	15	from	from	ADP
cana-4889	84	16	public	public	ADJ
cana-4889	84	17	key	key	ADJ
cana-4889	84	18	infrastructure	infrastructure	NOUN
cana-4889	84	19	,	,	PUNCT
cana-4889	84	20	which	which	PRON
cana-4889	84	21	is	be	AUX
cana-4889	84	22	resource	resource	NOUN
cana-4889	84	23	consuming	consume	VERB
cana-4889	84	24	and	and	CCONJ
cana-4889	84	25	complicated	complicated	ADJ
cana-4889	84	26	.	.	PUNCT
cana-4889	85	1	the	the	DET
cana-4889	85	2	research	research	NOUN
cana-4889	85	3	proposes	propose	VERB
cana-4889	85	4	an	an	DET
cana-4889	85	5	identity	identity	NOUN
cana-4889	85	6	-	-	PUNCT
cana-4889	85	7	based	base	VERB
cana-4889	85	8	multireplica	multireplica	ADJ
cana-4889	85	9	public	public	ADJ
cana-4889	85	10	auditing	auditing	NOUN
cana-4889	85	11	scheme	scheme	NOUN
cana-4889	85	12	to	to	PART
cana-4889	85	13	verify	verify	VERB
cana-4889	85	14	replicas	replica	NOUN
cana-4889	85	15	by	by	ADP
cana-4889	85	16	tpa	tpa	PROPN
cana-4889	85	17	without	without	ADP
cana-4889	85	18	public	public	ADJ
cana-4889	85	19	key	key	ADJ
cana-4889	85	20	infrastructure	infrastructure	NOUN
cana-4889	85	21	.	.	PUNCT
cana-4889	86	1	the	the	DET
cana-4889	86	2	scheme	scheme	NOUN
cana-4889	86	3	supports	support	VERB
cana-4889	86	4	the	the	DET
cana-4889	86	5	privacy	privacy	NOUN
cana-4889	86	6	preservation	preservation	NOUN
cana-4889	86	7	and	and	CCONJ
cana-4889	86	8	retrievability	retrievability	NOUN
cana-4889	86	9	of	of	ADP
cana-4889	86	10	data	data	PROPN
cana-4889	86	11	.	.	PUNCT
cana-4889	87	1	the	the	DET
cana-4889	87	2	research	research	NOUN
cana-4889	87	3	left	leave	VERB
cana-4889	87	4	dynamic	dynamic	ADJ
cana-4889	87	5	updates	update	NOUN
cana-4889	87	6	and	and	CCONJ
cana-4889	87	7	security	security	NOUN
cana-4889	87	8	issues	issue	NOUN
cana-4889	87	9	as	as	ADP
cana-4889	87	10	an	an	DET
cana-4889	87	11	open	open	ADJ
cana-4889	87	12	challenge	challenge	NOUN
cana-4889	87	13	.	.	PUNCT
cana-4889	88	1	communications	communication	NOUN
cana-4889	88	2	on	on	ADP
cana-4889	88	3	applied	apply	VERB
cana-4889	88	4	nonlinear	nonlinear	ADJ
cana-4889	88	5	analysis	analysis	NOUN
cana-4889	88	6	issn	issn	NOUN
cana-4889	88	7	:	:	PUNCT
cana-4889	88	8	1074	1074	NUM
cana-4889	88	9	-	-	PUNCT
cana-4889	88	10	133x	133x	NUM
cana-4889	88	11	vol	vol	NOUN
cana-4889	88	12	32	32	NUM
cana-4889	88	13	no	no	NOUN
cana-4889	88	14	.	.	NOUN
cana-4889	88	15	1	1	NUM
cana-4889	88	16	(	(	PUNCT
cana-4889	88	17	2025	2025	NUM
cana-4889	88	18	)	)	PUNCT
cana-4889	89	1	420	420	NUM
cana-4889	89	2	https://internationalpubls.com	https://internationalpubls.com	X
cana-4889	89	3	xing	xing	PROPN
cana-4889	89	4	-	-	PUNCT
cana-4889	89	5	quan	quan	PROPN
cana-4889	89	6	fu	fu	PROPN
cana-4889	89	7	etal	etal	NOUN
cana-4889	89	8	.	.	PUNCT
cana-4889	90	1	(	(	PUNCT
cana-4889	90	2	2018	2018	NUM
cana-4889	90	3	)	)	PUNCT
cana-4889	90	4	proposed	propose	VERB
cana-4889	90	5	image	image	NOUN
cana-4889	90	6	encryption	encryption	NOUN
cana-4889	90	7	and	and	CCONJ
cana-4889	90	8	transmission	transmission	NOUN
cana-4889	90	9	system	system	NOUN
cana-4889	90	10	based	base	VERB
cana-4889	90	11	on	on	ADP
cana-4889	90	12	dna	dna	PROPN
cana-4889	90	13	encryption	encryption	NOUN
cana-4889	90	14	algorithms	algorithm	NOUN
cana-4889	90	15	and	and	CCONJ
cana-4889	90	16	double	double	ADJ
cana-4889	90	17	chaos	chaos	NOUN
cana-4889	90	18	systems	system	NOUN
cana-4889	90	19	such	such	ADJ
cana-4889	90	20	as	as	ADP
cana-4889	90	21	coupled	couple	VERB
cana-4889	90	22	map	map	NOUN
cana-4889	90	23	lattice	lattice	NOUN
cana-4889	90	24	and	and	CCONJ
cana-4889	90	25	optical	optical	ADJ
cana-4889	90	26	chaotic	chaotic	ADJ
cana-4889	90	27	systems	system	NOUN
cana-4889	90	28	.	.	PUNCT
cana-4889	91	1	the	the	DET
cana-4889	91	2	proposed	propose	VERB
cana-4889	91	3	solution	solution	NOUN
cana-4889	91	4	resists	resist	VERB
cana-4889	91	5	statistical	statistical	ADJ
cana-4889	91	6	,	,	PUNCT
cana-4889	91	7	entropy	entropy	PROPN
cana-4889	91	8	,	,	PUNCT
cana-4889	91	9	differential	differential	ADJ
cana-4889	91	10	,	,	PUNCT
cana-4889	91	11	and	and	CCONJ
cana-4889	91	12	brute	brute	ADJ
cana-4889	91	13	force	force	NOUN
cana-4889	91	14	attacks	attack	NOUN
cana-4889	91	15	.	.	PUNCT
cana-4889	92	1	the	the	DET
cana-4889	92	2	encryption	encryption	NOUN
cana-4889	92	3	,	,	PUNCT
cana-4889	92	4	transmission	transmission	NOUN
cana-4889	92	5	,	,	PUNCT
cana-4889	92	6	&	&	CCONJ
cana-4889	92	7	decryption	decryption	NOUN
cana-4889	92	8	process	process	NOUN
cana-4889	92	9	of	of	ADP
cana-4889	92	10	the	the	DET
cana-4889	92	11	proposed	propose	VERB
cana-4889	92	12	solution	solution	NOUN
cana-4889	92	13	proves	prove	VERB
cana-4889	92	14	that	that	SCONJ
cana-4889	92	15	system	system	NOUN
cana-4889	92	16	is	be	AUX
cana-4889	92	17	operative	operative	ADJ
cana-4889	92	18	and	and	CCONJ
cana-4889	92	19	safe	safe	ADJ
cana-4889	92	20	.	.	PUNCT
cana-4889	93	1	su	su	PROPN
cana-4889	93	2	peng	peng	PROPN
cana-4889	93	3	etal	etal	PROPN
cana-4889	93	4	.	.	PUNCT
cana-4889	94	1	(	(	PUNCT
cana-4889	94	2	2019	2019	NUM
cana-4889	94	3	)	)	PUNCT
cana-4889	94	4	proposed	propose	VERB
cana-4889	94	5	a	a	DET
cana-4889	94	6	multi	multi	ADJ
cana-4889	94	7	-	-	ADJ
cana-4889	94	8	replica	replica	ADJ
cana-4889	94	9	provable	provable	ADJ
cana-4889	94	10	data	datum	NOUN
cana-4889	94	11	possession	possession	NOUN
cana-4889	94	12	scheme	scheme	NOUN
cana-4889	94	13	to	to	PART
cana-4889	94	14	avoid	avoid	VERB
cana-4889	94	15	the	the	DET
cana-4889	94	16	problem	problem	NOUN
cana-4889	94	17	of	of	ADP
cana-4889	94	18	handling	handle	VERB
cana-4889	94	19	public	public	ADJ
cana-4889	94	20	keys	key	NOUN
cana-4889	94	21	by	by	ADP
cana-4889	94	22	tpa	tpa	PROPN
cana-4889	94	23	.	.	PUNCT
cana-4889	95	1	the	the	DET
cana-4889	95	2	scheme	scheme	NOUN
cana-4889	95	3	utilizes	utilize	VERB
cana-4889	95	4	a	a	DET
cana-4889	95	5	compressed	compressed	ADJ
cana-4889	95	6	authentication	authentication	NOUN
cana-4889	95	7	array	array	NOUN
cana-4889	95	8	and	and	CCONJ
cana-4889	95	9	homomorphic	homomorphic	ADJ
cana-4889	95	10	verification	verification	NOUN
cana-4889	95	11	tag	tag	NOUN
cana-4889	95	12	to	to	PART
cana-4889	95	13	perform	perform	VERB
cana-4889	95	14	multi	multi	ADJ
cana-4889	95	15	-	-	ADJ
cana-4889	95	16	replica	replica	NOUN
cana-4889	95	17	auditing	auditing	NOUN
cana-4889	95	18	and	and	CCONJ
cana-4889	95	19	dynamic	dynamic	ADJ
cana-4889	95	20	updates	update	NOUN
cana-4889	95	21	.	.	PUNCT
cana-4889	96	1	the	the	DET
cana-4889	96	2	research	research	NOUN
cana-4889	96	3	suggests	suggest	VERB
cana-4889	96	4	improving	improve	VERB
cana-4889	96	5	the	the	DET
cana-4889	96	6	performance	performance	NOUN
cana-4889	96	7	of	of	ADP
cana-4889	96	8	the	the	DET
cana-4889	96	9	scheme	scheme	NOUN
cana-4889	96	10	by	by	ADP
cana-4889	96	11	reducing	reduce	VERB
cana-4889	96	12	the	the	DET
cana-4889	96	13	computation	computation	NOUN
cana-4889	96	14	&	&	CCONJ
cana-4889	96	15	communication	communication	NOUN
cana-4889	96	16	overheads	overhead	NOUN
cana-4889	96	17	for	for	ADP
cana-4889	96	18	cloud	cloud	NOUN
cana-4889	96	19	users	user	NOUN
cana-4889	96	20	,	,	PUNCT
cana-4889	96	21	cloud	cloud	NOUN
cana-4889	96	22	servers	server	NOUN
cana-4889	96	23	,	,	PUNCT
cana-4889	96	24	and	and	CCONJ
cana-4889	96	25	tpa	tpa	PROPN
cana-4889	96	26	.	.	PUNCT
cana-4889	97	1	hossein	hossein	PROPN
cana-4889	97	2	nematzadeh	nematzadeh	PROPN
cana-4889	97	3	et	et	PROPN
cana-4889	97	4	al	al	PROPN
cana-4889	97	5	.	.	PROPN
cana-4889	98	1	(	(	PUNCT
cana-4889	98	2	2020	2020	NUM
cana-4889	98	3	)	)	PUNCT
cana-4889	98	4	suggested	suggest	VERB
cana-4889	98	5	a	a	DET
cana-4889	98	6	novel	novel	ADJ
cana-4889	98	7	symmetric	symmetric	ADJ
cana-4889	98	8	encryption	encryption	NOUN
cana-4889	98	9	technique	technique	NOUN
cana-4889	98	10	based	base	VERB
cana-4889	98	11	on	on	ADP
cana-4889	98	12	a	a	DET
cana-4889	98	13	binary	binary	ADJ
cana-4889	98	14	search	search	NOUN
cana-4889	98	15	tree	tree	NOUN
cana-4889	98	16	(	(	PUNCT
cana-4889	98	17	bst	bst	PROPN
cana-4889	98	18	)	)	PUNCT
cana-4889	98	19	and	and	CCONJ
cana-4889	98	20	dna	dna	PROPN
cana-4889	98	21	sequence	sequence	NOUN
cana-4889	98	22	.	.	PUNCT
cana-4889	99	1	the	the	DET
cana-4889	99	2	suggested	suggest	VERB
cana-4889	99	3	encryption	encryption	NOUN
cana-4889	99	4	technique	technique	NOUN
cana-4889	99	5	has	have	AUX
cana-4889	99	6	been	be	AUX
cana-4889	99	7	subjected	subject	VERB
cana-4889	99	8	to	to	PART
cana-4889	99	9	entropy	entropy	VERB
cana-4889	99	10	analysis	analysis	NOUN
cana-4889	99	11	,	,	PUNCT
cana-4889	99	12	statistical	statistical	ADJ
cana-4889	99	13	attack	attack	NOUN
cana-4889	99	14	,	,	PUNCT
cana-4889	99	15	brute	brute	ADJ
cana-4889	99	16	force	force	NOUN
cana-4889	99	17	assault	assault	NOUN
cana-4889	99	18	,	,	PUNCT
cana-4889	99	19	and	and	CCONJ
cana-4889	99	20	differential	differential	ADJ
cana-4889	99	21	attack	attack	NOUN
cana-4889	99	22	analysis	analysis	NOUN
cana-4889	99	23	.	.	PUNCT
cana-4889	100	1	the	the	DET
cana-4889	100	2	study	study	NOUN
cana-4889	100	3	intends	intend	VERB
cana-4889	100	4	to	to	PART
cana-4889	100	5	improve	improve	VERB
cana-4889	100	6	the	the	DET
cana-4889	100	7	cryptosystem	cryptosystem	NOUN
cana-4889	100	8	using	use	VERB
cana-4889	100	9	appropriate	appropriate	ADJ
cana-4889	100	10	data	datum	NOUN
cana-4889	100	11	formats	format	NOUN
cana-4889	100	12	.	.	PUNCT
cana-4889	101	1	viswanath	viswanath	NOUN
cana-4889	101	2	and	and	CCONJ
cana-4889	101	3	krishna	krishna	PROPN
cana-4889	101	4	etal	etal	NOUN
cana-4889	101	5	.	.	PUNCT
cana-4889	102	1	(	(	PUNCT
cana-4889	102	2	2021	2021	NUM
cana-4889	102	3	)	)	PUNCT
cana-4889	102	4	used	use	VERB
cana-4889	102	5	a	a	DET
cana-4889	102	6	hybrid	hybrid	NOUN
cana-4889	102	7	(	(	PUNCT
cana-4889	102	8	aes	aes	NOUN
cana-4889	102	9	)	)	PUNCT
cana-4889	102	10	encryption	encryption	NOUN
cana-4889	102	11	technology	technology	NOUN
cana-4889	102	12	using	use	VERB
cana-4889	102	13	s	s	NOUN
cana-4889	102	14	-	-	PUNCT
cana-4889	102	15	box	box	NOUN
cana-4889	102	16	&	&	CCONJ
cana-4889	102	17	feistal	feistal	ADJ
cana-4889	102	18	network	network	NOUN
cana-4889	102	19	to	to	PART
cana-4889	102	20	improve	improve	VERB
cana-4889	102	21	security	security	NOUN
cana-4889	102	22	in	in	ADP
cana-4889	102	23	a	a	DET
cana-4889	102	24	multi	multi	ADJ
cana-4889	102	25	cloud	cloud	PROPN
cana-4889	102	26	scenario	scenario	NOUN
cana-4889	102	27	.	.	PUNCT
cana-4889	103	1	the	the	DET
cana-4889	103	2	hybrid	hybrid	ADJ
cana-4889	103	3	encryption	encryption	NOUN
cana-4889	103	4	approach	approach	NOUN
cana-4889	103	5	framework	framework	NOUN
cana-4889	103	6	splits	split	VERB
cana-4889	103	7	the	the	DET
cana-4889	103	8	data	datum	NOUN
cana-4889	103	9	,	,	PUNCT
cana-4889	103	10	indexes	index	VERB
cana-4889	103	11	it	it	PRON
cana-4889	103	12	,	,	PUNCT
cana-4889	103	13	and	and	CCONJ
cana-4889	103	14	encrypts	encrypt	VERB
cana-4889	103	15	it	it	PRON
cana-4889	103	16	.	.	PUNCT
cana-4889	104	1	the	the	DET
cana-4889	104	2	hybrid	hybrid	ADJ
cana-4889	104	3	encryption	encryption	NOUN
cana-4889	104	4	architecture	architecture	NOUN
cana-4889	104	5	outperforms	outperform	VERB
cana-4889	104	6	the	the	DET
cana-4889	104	7	aes	aes	PROPN
cana-4889	104	8	&	&	CCONJ
cana-4889	104	9	triple	triple	PROPN
cana-4889	104	10	des	des	PROPN
cana-4889	104	11	techniques	technique	NOUN
cana-4889	104	12	.	.	PUNCT
cana-4889	105	1	the	the	DET
cana-4889	105	2	hybrid	hybrid	ADJ
cana-4889	105	3	encryption	encryption	NOUN
cana-4889	105	4	framework	framework	NOUN
cana-4889	105	5	approach	approach	NOUN
cana-4889	105	6	is	be	AUX
cana-4889	105	7	resistant	resistant	ADJ
cana-4889	105	8	to	to	ADP
cana-4889	105	9	dos	do	NOUN
cana-4889	105	10	attacks	attack	NOUN
cana-4889	105	11	,	,	PUNCT
cana-4889	105	12	tampering	tamper	VERB
cana-4889	105	13	attacks	attack	NOUN
cana-4889	105	14	,	,	PUNCT
cana-4889	105	15	and	and	CCONJ
cana-4889	105	16	insider	insider	NOUN
cana-4889	105	17	attacks	attack	NOUN
cana-4889	105	18	.	.	PUNCT
cana-4889	106	1	the	the	DET
cana-4889	106	2	hybrid	hybrid	ADJ
cana-4889	106	3	encryption	encryption	NOUN
cana-4889	106	4	system	system	NOUN
cana-4889	106	5	encrypts	encrypt	VERB
cana-4889	106	6	both	both	DET
cana-4889	106	7	properties	property	NOUN
cana-4889	106	8	and	and	CCONJ
cana-4889	106	9	data	datum	NOUN
cana-4889	106	10	,	,	PUNCT
cana-4889	106	11	but	but	CCONJ
cana-4889	106	12	it	it	PRON
cana-4889	106	13	takes	take	VERB
cana-4889	106	14	longer	long	ADV
cana-4889	106	15	to	to	PART
cana-4889	106	16	compute	compute	VERB
cana-4889	106	17	.	.	PUNCT
cana-4889	107	1	ramachandra	ramachandra	PROPN
cana-4889	107	2	etal	etal	PROPN
cana-4889	107	3	.	.	PUNCT
cana-4889	107	4	,	,	PUNCT
cana-4889	107	5	(	(	PUNCT
cana-4889	107	6	2022	2022	NUM
cana-4889	107	7	)	)	PUNCT
cana-4889	107	8	investigate	investigate	VERB
cana-4889	107	9	large	large	ADJ
cana-4889	107	10	data	datum	NOUN
cana-4889	107	11	cloud	cloud	NOUN
cana-4889	107	12	application	application	NOUN
cana-4889	107	13	security	security	NOUN
cana-4889	107	14	&	&	CCONJ
cana-4889	107	15	monitoring	monitoring	NOUN
cana-4889	107	16	in	in	ADP
cana-4889	107	17	order	order	NOUN
cana-4889	107	18	to	to	PART
cana-4889	107	19	host	host	VERB
cana-4889	107	20	extremely	extremely	ADV
cana-4889	107	21	sensitive	sensitive	ADJ
cana-4889	107	22	data	datum	NOUN
cana-4889	107	23	for	for	ADP
cana-4889	107	24	cloud	cloud	NOUN
cana-4889	107	25	platforms	platform	NOUN
cana-4889	107	26	.	.	PUNCT
cana-4889	108	1	to	to	PART
cana-4889	108	2	address	address	VERB
cana-4889	108	3	this	this	DET
cana-4889	108	4	issue	issue	NOUN
cana-4889	108	5	,	,	PUNCT
cana-4889	108	6	the	the	DET
cana-4889	108	7	(	(	PUNCT
cana-4889	108	8	tdes	tde	NOUN
cana-4889	108	9	)	)	PUNCT
cana-4889	108	10	technique	technique	NOUN
cana-4889	108	11	is	be	AUX
cana-4889	108	12	suggested	suggest	VERB
cana-4889	108	13	to	to	PART
cana-4889	108	14	offer	offer	VERB
cana-4889	108	15	security	security	NOUN
cana-4889	108	16	for	for	ADP
cana-4889	108	17	massive	massive	ADJ
cana-4889	108	18	data	datum	NOUN
cana-4889	108	19	on	on	ADP
cana-4889	108	20	the	the	DET
cana-4889	108	21	cloud	cloud	NOUN
cana-4889	108	22	.	.	PUNCT
cana-4889	109	1	the	the	DET
cana-4889	109	2	suggested	suggest	VERB
cana-4889	109	3	tdes	tde	NOUN
cana-4889	109	4	approach	approach	NOUN
cana-4889	109	5	provides	provide	VERB
cana-4889	109	6	considerably	considerably	ADV
cana-4889	109	7	easier	easy	ADJ
cana-4889	109	8	way	way	NOUN
cana-4889	109	9	for	for	ADP
cana-4889	109	10	protecting	protect	VERB
cana-4889	109	11	against	against	ADP
cana-4889	109	12	assaults	assault	NOUN
cana-4889	109	13	and	and	CCONJ
cana-4889	109	14	defending	defend	VERB
cana-4889	109	15	data	data	NOUN
cana-4889	109	16	privacy	privacy	NOUN
cana-4889	109	17	by	by	ADP
cana-4889	109	18	increasing	increase	VERB
cana-4889	109	19	length	length	NOUN
cana-4889	109	20	of	of	ADP
cana-4889	109	21	keys	key	NOUN
cana-4889	109	22	in	in	ADP
cana-4889	109	23	(	(	PUNCT
cana-4889	109	24	des	des	PROPN
cana-4889	109	25	)	)	PUNCT
cana-4889	109	26	.	.	PUNCT
cana-4889	110	1	the	the	DET
cana-4889	110	2	experimental	experimental	ADJ
cana-4889	110	3	findings	finding	NOUN
cana-4889	110	4	demonstrated	demonstrate	VERB
cana-4889	110	5	that	that	SCONJ
cana-4889	110	6	the	the	DET
cana-4889	110	7	suggested	suggest	VERB
cana-4889	110	8	tdes	tde	NOUN
cana-4889	110	9	approach	approach	NOUN
cana-4889	110	10	is	be	AUX
cana-4889	110	11	successful	successful	ADJ
cana-4889	110	12	in	in	ADP
cana-4889	110	13	providing	provide	VERB
cana-4889	110	14	security	security	NOUN
cana-4889	110	15	&	&	CCONJ
cana-4889	110	16	privacy	privacy	NOUN
cana-4889	110	17	to	to	ADP
cana-4889	110	18	large	large	ADJ
cana-4889	110	19	amounts	amount	NOUN
cana-4889	110	20	of	of	ADP
cana-4889	110	21	healthcare	healthcare	NOUN
cana-4889	110	22	data	datum	NOUN
cana-4889	110	23	on	on	ADP
cana-4889	110	24	the	the	DET
cana-4889	110	25	cloud	cloud	NOUN
cana-4889	110	26	.	.	PUNCT
cana-4889	111	1	when	when	SCONJ
cana-4889	111	2	compared	compare	VERB
cana-4889	111	3	to	to	ADP
cana-4889	111	4	the	the	DET
cana-4889	111	5	existing	exist	VERB
cana-4889	111	6	(	(	PUNCT
cana-4889	111	7	ifhds	ifhds	NOUN
cana-4889	111	8	)	)	PUNCT
cana-4889	111	9	technique	technique	NOUN
cana-4889	111	10	,	,	PUNCT
cana-4889	111	11	the	the	DET
cana-4889	111	12	suggested	suggest	VERB
cana-4889	111	13	tdes	tde	NOUN
cana-4889	111	14	methodology	methodology	NOUN
cana-4889	111	15	required	require	VERB
cana-4889	111	16	less	less	ADJ
cana-4889	111	17	encryption	encryption	NOUN
cana-4889	111	18	and	and	CCONJ
cana-4889	111	19	decryption	decryption	NOUN
cana-4889	111	20	time	time	NOUN
cana-4889	111	21	.	.	PUNCT
cana-4889	112	1	cuzzocrea	cuzzocrea	PROPN
cana-4889	112	2	etal.(2022	etal.(2022	X
cana-4889	112	3	)	)	PUNCT
cana-4889	112	4	used	use	VERB
cana-4889	112	5	an	an	DET
cana-4889	112	6	attribution	attribution	NOUN
cana-4889	112	7	based	base	VERB
cana-4889	112	8	method	method	NOUN
cana-4889	112	9	to	to	PART
cana-4889	112	10	improvedata	improvedata	VERB
cana-4889	112	11	security	security	NOUN
cana-4889	112	12	in	in	ADP
cana-4889	112	13	cloud	cloud	NOUN
cana-4889	112	14	.	.	PUNCT
cana-4889	113	1	the	the	DET
cana-4889	113	2	presented	present	VERB
cana-4889	113	3	solution	solution	NOUN
cana-4889	113	4	used	use	VERB
cana-4889	113	5	an	an	DET
cana-4889	113	6	appropriate	appropriate	ADJ
cana-4889	113	7	encryption	encryption	NOUN
cana-4889	113	8	mechanism	mechanism	NOUN
cana-4889	113	9	for	for	ADP
cana-4889	113	10	the	the	DET
cana-4889	113	11	dominating	dominating	NOUN
cana-4889	113	12	relationship	relationship	NOUN
cana-4889	113	13	.	.	PUNCT
cana-4889	114	1	however	however	ADV
cana-4889	114	2	,	,	PUNCT
cana-4889	114	3	while	while	SCONJ
cana-4889	114	4	processing	process	VERB
cana-4889	114	5	bigger	big	ADJ
cana-4889	114	6	databases	database	NOUN
cana-4889	114	7	,	,	PUNCT
cana-4889	114	8	the	the	DET
cana-4889	114	9	sb	sb	NOUN
cana-4889	114	10	-	-	ADJ
cana-4889	114	11	ds	ds	ADJ
cana-4889	114	12	approach	approach	NOUN
cana-4889	114	13	&	&	CCONJ
cana-4889	114	14	the	the	DET
cana-4889	114	15	standard	standard	ADJ
cana-4889	114	16	attribution	attribution	NOUN
cana-4889	114	17	-	-	PUNCT
cana-4889	114	18	based	base	VERB
cana-4889	114	19	technique	technique	NOUN
cana-4889	114	20	increase	increase	NOUN
cana-4889	114	21	calculation	calculation	NOUN
cana-4889	114	22	time	time	NOUN
cana-4889	114	23	.	.	PUNCT
cana-4889	115	1	a	a	DET
cana-4889	115	2	,	,	PUNCT
cana-4889	115	3	reyana	reyana	ADJ
cana-4889	115	4	etal	etal	NOUN
cana-4889	115	5	.	.	PUNCT
cana-4889	115	6	,	,	PUNCT
cana-4889	115	7	(	(	PUNCT
cana-4889	115	8	2023	2023	NUM
cana-4889	115	9	)	)	PUNCT
cana-4889	115	10	provides	provide	VERB
cana-4889	115	11	a	a	DET
cana-4889	115	12	unique	unique	ADJ
cana-4889	115	13	approach	approach	NOUN
cana-4889	115	14	to	to	PART
cana-4889	115	15	protect	protect	VERB
cana-4889	115	16	integrity	integrity	NOUN
cana-4889	115	17	of	of	ADP
cana-4889	115	18	data	datum	NOUN
cana-4889	115	19	&	&	CCONJ
cana-4889	115	20	improve	improve	VERB
cana-4889	115	21	access	access	NOUN
cana-4889	115	22	control	control	NOUN
cana-4889	115	23	.	.	PUNCT
cana-4889	116	1	to	to	PART
cana-4889	116	2	accomplish	accomplish	VERB
cana-4889	116	3	a	a	DET
cana-4889	116	4	unique	unique	ADJ
cana-4889	116	5	improved	improved	ADJ
cana-4889	116	6	storage	storage	NOUN
cana-4889	116	7	retrieval	retrieval	NOUN
cana-4889	116	8	technique	technique	NOUN
cana-4889	116	9	is	be	AUX
cana-4889	116	10	developed	develop	VERB
cana-4889	116	11	to	to	PART
cana-4889	116	12	increase	increase	VERB
cana-4889	116	13	performance	performance	NOUN
cana-4889	116	14	of	of	ADP
cana-4889	116	15	cloud	cloud	NOUN
cana-4889	116	16	's	's	PART
cana-4889	116	17	storage	storage	NOUN
cana-4889	116	18	and	and	CCONJ
cana-4889	116	19	retrieval	retrieval	NOUN
cana-4889	116	20	procedures	procedure	NOUN
cana-4889	116	21	.	.	PUNCT
cana-4889	117	1	the	the	PRON
cana-4889	117	2	upload	upload	NOUN
cana-4889	117	3	,	,	PUNCT
cana-4889	117	4	download	download	NOUN
cana-4889	117	5	,	,	PUNCT
cana-4889	117	6	encryption	encryption	NOUN
cana-4889	117	7	,	,	PUNCT
cana-4889	117	8	and	and	CCONJ
cana-4889	117	9	decryption	decryption	NOUN
cana-4889	117	10	times	time	NOUN
cana-4889	117	11	are	be	AUX
cana-4889	117	12	all	all	PRON
cana-4889	117	13	considered	consider	VERB
cana-4889	117	14	while	while	SCONJ
cana-4889	117	15	evaluating	evaluate	VERB
cana-4889	117	16	the	the	DET
cana-4889	117	17	approach	approach	NOUN
cana-4889	117	18	.	.	PUNCT
cana-4889	118	1	the	the	DET
cana-4889	118	2	time	time	NOUN
cana-4889	118	3	it	it	PRON
cana-4889	118	4	takes	take	VERB
cana-4889	118	5	to	to	PART
cana-4889	118	6	upload	upload	VERB
cana-4889	118	7	afile	afile	NOUN
cana-4889	118	8	rises	rise	NOUN
cana-4889	118	9	in	in	ADP
cana-4889	118	10	proportion	proportion	NOUN
cana-4889	118	11	to	to	ADP
cana-4889	118	12	its	its	PRON
cana-4889	118	13	size	size	NOUN
cana-4889	118	14	.	.	PUNCT
cana-4889	119	1	similarly	similarly	ADV
cana-4889	119	2	,	,	PUNCT
cana-4889	119	3	the	the	DET
cana-4889	119	4	time	time	NOUN
cana-4889	119	5	required	require	VERB
cana-4889	119	6	to	to	PART
cana-4889	119	7	encrypt	encrypt	VERB
cana-4889	119	8	data	datum	NOUN
cana-4889	119	9	of	of	ADP
cana-4889	119	10	various	various	ADJ
cana-4889	119	11	sizes	size	NOUN
cana-4889	119	12	&	&	CCONJ
cana-4889	119	13	formats	format	NOUN
cana-4889	119	14	demonstrated	demonstrate	VERB
cana-4889	119	15	that	that	SCONJ
cana-4889	119	16	it	it	PRON
cana-4889	119	17	is	be	AUX
cana-4889	119	18	dependent	dependent	ADJ
cana-4889	119	19	on	on	ADP
cana-4889	119	20	file	file	NOUN
cana-4889	119	21	size	size	NOUN
cana-4889	119	22	and	and	CCONJ
cana-4889	119	23	format	format	NOUN
cana-4889	119	24	.	.	PUNCT
cana-4889	120	1	as	as	ADP
cana-4889	120	2	a	a	DET
cana-4889	120	3	result	result	NOUN
cana-4889	120	4	,	,	PUNCT
cana-4889	120	5	the	the	DET
cana-4889	120	6	encryption	encryption	NOUN
cana-4889	120	7	time	time	NOUN
cana-4889	120	8	grows	grow	VERB
cana-4889	120	9	as	as	ADP
cana-4889	120	10	file	file	NOUN
cana-4889	120	11	size	size	NOUN
cana-4889	120	12	increases	increase	NOUN
cana-4889	120	13	,	,	PUNCT
cana-4889	120	14	illustrating	illustrate	VERB
cana-4889	120	15	suggested	suggest	VERB
cana-4889	120	16	system	system	NOUN
cana-4889	120	17	's	's	PART
cana-4889	120	18	performance	performance	NOUN
cana-4889	120	19	.	.	PUNCT
cana-4889	121	1	communications	communication	NOUN
cana-4889	121	2	on	on	ADP
cana-4889	121	3	applied	apply	VERB
cana-4889	121	4	nonlinear	nonlinear	ADJ
cana-4889	121	5	analysis	analysis	NOUN
cana-4889	121	6	issn	issn	NOUN
cana-4889	121	7	:	:	PUNCT
cana-4889	121	8	1074	1074	NUM
cana-4889	121	9	-	-	PUNCT
cana-4889	121	10	133x	133x	NUM
cana-4889	121	11	vol	vol	NOUN
cana-4889	121	12	32	32	NUM
cana-4889	121	13	no	no	NOUN
cana-4889	121	14	.	.	NOUN
cana-4889	121	15	1	1	NUM
cana-4889	121	16	(	(	PUNCT
cana-4889	121	17	2025	2025	NUM
cana-4889	121	18	)	)	PUNCT
cana-4889	121	19	421	421	NUM
cana-4889	121	20	https://internationalpubls.com	https://internationalpubls.com	X
cana-4889	121	21	objectives	objective	NOUN
cana-4889	121	22	of	of	ADP
cana-4889	121	23	the	the	DET
cana-4889	121	24	study	study	NOUN
cana-4889	121	25	•	•	ADP
cana-4889	121	26	to	to	PART
cana-4889	121	27	enrich	enrich	VERB
cana-4889	121	28	the	the	DET
cana-4889	121	29	improved	improve	VERB
cana-4889	121	30	secure	secure	ADJ
cana-4889	121	31	cloud	cloud	ADJ
cana-4889	121	32	data	data	NOUN
cana-4889	121	33	storage	storage	NOUN
cana-4889	121	34	framework	framework	NOUN
cana-4889	121	35	by	by	ADP
cana-4889	121	36	providing	provide	VERB
cana-4889	121	37	and	and	CCONJ
cana-4889	121	38	ensuring	ensure	VERB
cana-4889	121	39	major	major	ADJ
cana-4889	121	40	security	security	NOUN
cana-4889	121	41	principles	principle	NOUN
cana-4889	121	42	•	•	ADP
cana-4889	121	43	to	to	PART
cana-4889	121	44	offer	offer	VERB
cana-4889	121	45	data	datum	NOUN
cana-4889	121	46	secrecy	secrecy	NOUN
cana-4889	121	47	in	in	ADP
cana-4889	121	48	the	the	DET
cana-4889	121	49	improved	improve	VERB
cana-4889	121	50	secure	secure	ADJ
cana-4889	121	51	cloud	cloud	ADJ
cana-4889	121	52	data	data	NOUN
cana-4889	121	53	storage	storage	NOUN
cana-4889	121	54	framework	framework	NOUN
cana-4889	121	55	for	for	ADP
cana-4889	121	56	data	datum	NOUN
cana-4889	121	57	of	of	ADP
cana-4889	121	58	a	a	DET
cana-4889	121	59	single	single	ADJ
cana-4889	121	60	owner	owner	NOUN
cana-4889	121	61	in	in	ADP
cana-4889	121	62	cloud	cloud	NOUN
cana-4889	121	63	.	.	PUNCT
cana-4889	122	1	.securing	.secure	VERB
cana-4889	122	2	single	single	ADJ
cana-4889	122	3	owner	owner	NOUN
cana-4889	122	4	cloud	cloud	PROPN
cana-4889	122	5	data	data	AUX
cana-4889	122	6	a	a	DET
cana-4889	122	7	public	public	ADJ
cana-4889	122	8	-	-	PUNCT
cana-4889	122	9	key	key	NOUN
cana-4889	122	10	cryptosystem	cryptosystem	NOUN
cana-4889	122	11	consists	consist	VERB
cana-4889	122	12	of	of	ADP
cana-4889	122	13	the	the	DET
cana-4889	122	14	following	follow	VERB
cana-4889	122	15	components	component	NOUN
cana-4889	122	16	:	:	PUNCT
cana-4889	122	17	plain	plain	ADJ
cana-4889	122	18	text	text	NOUN
cana-4889	122	19	,	,	PUNCT
cana-4889	122	20	cypher	cypher	ADJ
cana-4889	122	21	text	text	NOUN
cana-4889	122	22	,	,	PUNCT
cana-4889	122	23	a	a	DET
cana-4889	122	24	public	public	ADJ
cana-4889	122	25	key	key	NOUN
cana-4889	122	26	,	,	PUNCT
cana-4889	122	27	a	a	DET
cana-4889	122	28	privatekey	privatekey	NOUN
cana-4889	122	29	,	,	PUNCT
cana-4889	122	30	an	an	DET
cana-4889	122	31	encryption	encryption	NOUN
cana-4889	122	32	method	method	NOUN
cana-4889	122	33	,	,	PUNCT
cana-4889	122	34	&	&	CCONJ
cana-4889	122	35	a	a	DET
cana-4889	122	36	decryption	decryption	NOUN
cana-4889	122	37	algorithm	algorithm	NOUN
cana-4889	122	38	.	.	PUNCT
cana-4889	123	1	a	a	DET
cana-4889	123	2	major	major	ADJ
cana-4889	123	3	application	application	NOUN
cana-4889	123	4	of	of	ADP
cana-4889	123	5	public	public	ADJ
cana-4889	123	6	key	key	ADJ
cana-4889	123	7	cryptography	cryptography	NOUN
cana-4889	123	8	is	be	AUX
cana-4889	123	9	confidentiality	confidentiality	NOUN
cana-4889	123	10	,	,	PUNCT
cana-4889	123	11	digital	digital	ADJ
cana-4889	123	12	signature	signature	NOUN
cana-4889	123	13	,	,	PUNCT
cana-4889	123	14	and	and	CCONJ
cana-4889	123	15	key	key	ADJ
cana-4889	123	16	exchange	exchange	NOUN
cana-4889	123	17	.	.	PUNCT
cana-4889	124	1	among	among	ADP
cana-4889	124	2	the	the	DET
cana-4889	124	3	public	public	ADJ
cana-4889	124	4	key	key	ADJ
cana-4889	124	5	cryptosystems	cryptosystem	NOUN
cana-4889	124	6	,	,	PUNCT
cana-4889	124	7	schmidt	schmidt	PROPN
cana-4889	124	8	samoa	samoa	PROPN
cana-4889	124	9	(	(	PUNCT
cana-4889	124	10	ss	ss	NOUN
cana-4889	124	11	)	)	PUNCT
cana-4889	124	12	cryptosystem	cryptosystem	NOUN
cana-4889	124	13	depends	depend	VERB
cana-4889	124	14	on	on	ADP
cana-4889	124	15	the	the	DET
cana-4889	124	16	difficulty	difficulty	NOUN
cana-4889	124	17	of	of	ADP
cana-4889	124	18	integer	integer	NOUN
cana-4889	124	19	factorization	factorization	NOUN
cana-4889	124	20	developed	develop	VERB
cana-4889	124	21	by	by	ADP
cana-4889	124	22	katja	katja	PROPN
cana-4889	124	23	schmidt	schmidt	PROPN
cana-4889	124	24	-	-	PUNCT
cana-4889	124	25	samoa	samoa	PROPN
cana-4889	124	26	.	.	PUNCT
cana-4889	125	1	algorithm	algorithm	PROPN
cana-4889	125	2	1	1	NUM
cana-4889	125	3	provides	provide	VERB
cana-4889	125	4	the	the	DET
cana-4889	125	5	schmidt	schmidt	PROPN
cana-4889	125	6	samoa	samoa	PROPN
cana-4889	125	7	algorithm	algorithm	PROPN
cana-4889	125	8	(	(	PUNCT
cana-4889	125	9	katja	katja	PROPN
cana-4889	125	10	schmidt	schmidt	PROPN
cana-4889	125	11	samoa	samoa	PROPN
cana-4889	125	12	2006	2006	NUM
cana-4889	125	13	)	)	PUNCT
cana-4889	125	14	for	for	ADP
cana-4889	125	15	achieving	achieve	VERB
cana-4889	125	16	cloud	cloud	ADJ
cana-4889	125	17	data	datum	NOUN
cana-4889	125	18	secrecy	secrecy	NOUN
cana-4889	125	19	,	,	PUNCT
cana-4889	125	20	which	which	PRON
cana-4889	125	21	may	may	AUX
cana-4889	125	22	be	be	AUX
cana-4889	125	23	defined	define	VERB
cana-4889	125	24	as	as	SCONJ
cana-4889	125	25	follows	follow	VERB
cana-4889	125	26	:	:	PUNCT
cana-4889	125	27	two	two	NUM
cana-4889	125	28	prime	prime	ADJ
cana-4889	125	29	numbers	number	NOUN
cana-4889	125	30	,	,	PUNCT
cana-4889	125	31	p	p	PROPN
cana-4889	125	32	&	&	CCONJ
cana-4889	125	33	q	q	NOUN
cana-4889	125	34	,	,	PUNCT
cana-4889	125	35	are	be	AUX
cana-4889	125	36	produced	produce	VERB
cana-4889	125	37	at	at	ADP
cana-4889	125	38	random	random	ADJ
cana-4889	125	39	.	.	PUNCT
cana-4889	126	1	it	it	PRON
cana-4889	126	2	is	be	AUX
cana-4889	126	3	comparable	comparable	ADJ
cana-4889	126	4	to	to	ADP
cana-4889	126	5	the	the	DET
cana-4889	126	6	rabin	rabin	PROPN
cana-4889	126	7	and	and	CCONJ
cana-4889	126	8	rsa	rsa	PROPN
cana-4889	126	9	algorithms	algorithm	NOUN
cana-4889	126	10	in	in	ADP
cana-4889	126	11	that	that	DET
cana-4889	126	12	decryption	decryption	NOUN
cana-4889	126	13	is	be	AUX
cana-4889	126	14	conducted	conduct	VERB
cana-4889	126	15	more	more	ADV
cana-4889	126	16	quickly	quickly	ADV
cana-4889	126	17	.	.	PUNCT
cana-4889	127	1	taking	take	VERB
cana-4889	127	2	the	the	DET
cana-4889	127	3	square	square	NOUN
cana-4889	127	4	of	of	ADP
cana-4889	127	5	p	p	NOUN
cana-4889	127	6	and	and	CCONJ
cana-4889	127	7	multiplying	multiply	VERB
cana-4889	127	8	it	it	PRON
cana-4889	127	9	by	by	ADP
cana-4889	127	10	q	q	PROPN
cana-4889	127	11	yields	yield	NOUN
cana-4889	127	12	public	public	ADJ
cana-4889	127	13	key	key	NOUN
cana-4889	127	14	.	.	PUNCT
cana-4889	128	1	to	to	PART
cana-4889	128	2	construct	construct	VERB
cana-4889	128	3	the	the	DET
cana-4889	128	4	private	private	ADJ
cana-4889	128	5	key	key	NOUN
cana-4889	128	6	,	,	PUNCT
cana-4889	128	7	take	take	VERB
cana-4889	128	8	inverse	inverse	NOUN
cana-4889	128	9	of	of	ADP
cana-4889	128	10	public	public	ADJ
cana-4889	128	11	key	key	NOUN
cana-4889	128	12	and	and	CCONJ
cana-4889	128	13	determine	determine	VERB
cana-4889	128	14	modulus	modulus	NOUN
cana-4889	128	15	with	with	ADP
cana-4889	128	16	the	the	DET
cana-4889	128	17	lcm	lcm	NOUN
cana-4889	128	18	of	of	ADP
cana-4889	128	19	(	(	PUNCT
cana-4889	128	20	p-1	p-1	NOUN
cana-4889	128	21	)	)	PUNCT
cana-4889	128	22	and	and	CCONJ
cana-4889	128	23	(	(	PUNCT
cana-4889	128	24	q-1	q-1	NUM
cana-4889	128	25	)	)	PUNCT
cana-4889	128	26	.	.	PUNCT
cana-4889	129	1	because	because	SCONJ
cana-4889	129	2	the	the	DET
cana-4889	129	3	sender	sender	NOUN
cana-4889	129	4	must	must	AUX
cana-4889	129	5	conduct	conduct	VERB
cana-4889	129	6	a	a	DET
cana-4889	129	7	whole	whole	ADJ
cana-4889	129	8	computation	computation	NOUN
cana-4889	129	9	for	for	ADP
cana-4889	129	10	exponentiation	exponentiation	NOUN
cana-4889	129	11	,	,	PUNCT
cana-4889	129	12	the	the	DET
cana-4889	129	13	encryption	encryption	NOUN
cana-4889	129	14	process	process	NOUN
cana-4889	129	15	becomes	become	VERB
cana-4889	129	16	sluggish	sluggish	ADJ
cana-4889	129	17	with	with	ADP
cana-4889	129	18	this	this	DET
cana-4889	129	19	cryptosystem	cryptosystem	NOUN
cana-4889	129	20	.	.	PUNCT
cana-4889	130	1	the	the	DET
cana-4889	130	2	encryption	encryption	NOUN
cana-4889	130	3	is	be	AUX
cana-4889	130	4	carried	carry	VERB
cana-4889	130	5	out	out	ADP
cana-4889	130	6	using	use	VERB
cana-4889	130	7	public	public	ADJ
cana-4889	130	8	key	key	NOUN
cana-4889	130	9	.	.	PUNCT
cana-4889	131	1	to	to	PART
cana-4889	131	2	decode	decode	VERB
cana-4889	131	3	,	,	PUNCT
cana-4889	131	4	private	private	ADJ
cana-4889	131	5	key	key	NOUN
cana-4889	131	6	is	be	AUX
cana-4889	131	7	utilised	utilise	VERB
cana-4889	131	8	.	.	PUNCT
cana-4889	132	1	algorithm	algorithm	NOUN
cana-4889	132	2	1	1	NUM
cana-4889	132	3	:	:	PUNCT
cana-4889	132	4	schmidt	schmidt	PROPN
cana-4889	132	5	samoa	samoa	PROPN
cana-4889	132	6	cryptosystem	cryptosystem	NOUN
cana-4889	132	7	for	for	ADP
cana-4889	132	8	single	single	ADJ
cana-4889	132	9	owner	owner	NOUN
cana-4889	132	10	cloud	cloud	PROPN
cana-4889	132	11	data	data	PROPN
cana-4889	132	12	ss_keygen	ss_keygen	PROPN
cana-4889	132	13	(	(	PUNCT
cana-4889	132	14	)	)	PUNCT
cana-4889	132	15	input	input	NOUN
cana-4889	132	16	:	:	PUNCT
cana-4889	132	17	p	p	PROPN
cana-4889	132	18	&	&	CCONJ
cana-4889	132	19	q	q	PROPN
cana-4889	132	20	are	be	AUX
cana-4889	132	21	two	two	NUM
cana-4889	132	22	huge	huge	ADJ
cana-4889	132	23	prime	prime	ADJ
cana-4889	132	24	numbers	number	NOUN
cana-4889	132	25	.	.	PUNCT
cana-4889	133	1	output	output	NOUN
cana-4889	133	2	:	:	PUNCT
cana-4889	133	3	n	n	PRON
cana-4889	133	4	is	be	AUX
cana-4889	133	5	public	public	ADJ
cana-4889	133	6	key	key	NOUN
cana-4889	133	7	,	,	PUNCT
cana-4889	133	8	while	while	SCONJ
cana-4889	133	9	d	d	NOUN
cana-4889	133	10	is	be	AUX
cana-4889	133	11	the	the	DET
cana-4889	133	12	private	private	ADJ
cana-4889	133	13	key	key	NOUN
cana-4889	133	14	.	.	PUNCT
cana-4889	134	1	/	/	PUNCT
cana-4889	134	2	*	*	PUNCT
cana-4889	134	3	compute	compute	VERB
cana-4889	134	4	the	the	DET
cana-4889	134	5	public	public	ADJ
cana-4889	134	6	key	key	NOUN
cana-4889	134	7	n	n	PROPN
cana-4889	134	8	*	*	ADJ
cana-4889	134	9	/	/	SYM
cana-4889	134	10	n	n	NOUN
cana-4889	134	11	=	=	PUNCT
cana-4889	134	12	p2	p2	X
cana-4889	135	1	*	*	PUNCT
cana-4889	135	2	q	q	NOUN
cana-4889	135	3	/	/	SYM
cana-4889	135	4	*	*	PUNCT
cana-4889	135	5	calculate	calculate	NOUN
cana-4889	135	6	the	the	DET
cana-4889	135	7	private	private	ADJ
cana-4889	135	8	key	key	NOUN
cana-4889	135	9	d	d	PROPN
cana-4889	135	10	*	*	PUNCT
cana-4889	135	11	/	/	SYM
cana-4889	135	12	l	l	NOUN
cana-4889	135	13	=	=	NOUN
cana-4889	135	14	lcm	lcm	NOUN
cana-4889	135	15	(	(	PUNCT
cana-4889	135	16	(	(	PUNCT
cana-4889	135	17	p-1	p-1	NOUN
cana-4889	135	18	)	)	PUNCT
cana-4889	135	19	,	,	PUNCT
cana-4889	135	20	(	(	PUNCT
cana-4889	135	21	q-1	q-1	NUM
cana-4889	135	22	)	)	PUNCT
cana-4889	135	23	)	)	PUNCT
cana-4889	135	24	,	,	PUNCT
cana-4889	135	25	&	&	CCONJ
cana-4889	135	26	d	d	NOUN
cana-4889	135	27	=	=	PUNCT
cana-4889	135	28	n-1	n-1	PROPN
cana-4889	135	29	mod	mod	PROPN
cana-4889	135	30	l.	l.	PROPN
cana-4889	135	31	ss_encrypt	ss_encrypt	PROPN
cana-4889	135	32	(	(	PUNCT
cana-4889	135	33	)	)	PUNCT
cana-4889	135	34	input	input	NOUN
cana-4889	135	35	:	:	PUNCT
cana-4889	135	36	a	a	DET
cana-4889	135	37	plaintext	plaintext	NOUN
cana-4889	135	38	message	message	NOUN
cana-4889	135	39	oflength	oflength	NOUN
cana-4889	135	40	m	m	PROPN
cana-4889	135	41	,	,	PUNCT
cana-4889	135	42	where	where	SCONJ
cana-4889	135	43	m	m	VERB
cana-4889	135	44	n.	n.	NOUN
cana-4889	135	45	c	c	VERB
cana-4889	135	46	ciphertext	ciphertext	PROPN
cana-4889	135	47	message	message	NOUN
cana-4889	135	48	as	as	ADP
cana-4889	135	49	output	output	NOUN
cana-4889	135	50	so	so	SCONJ
cana-4889	135	51	encrypts	encrypt	VERB
cana-4889	135	52	the	the	DET
cana-4889	135	53	message	message	NOUN
cana-4889	135	54	using	use	VERB
cana-4889	135	55	public	public	ADJ
cana-4889	135	56	key	key	NOUN
cana-4889	135	57	n	n	ADP
cana-4889	135	58	to	to	PART
cana-4889	135	59	acquire	acquire	VERB
cana-4889	135	60	the	the	DET
cana-4889	135	61	ciphertext	ciphertext	NOUN
cana-4889	135	62	c	c	NOUN
cana-4889	135	63	and	and	CCONJ
cana-4889	135	64	sends	send	VERB
cana-4889	135	65	it	it	PRON
cana-4889	135	66	to	to	ADP
cana-4889	135	67	csp	csp	PROPN
cana-4889	135	68	.	.	PROPN
cana-4889	135	69	c	c	PROPN
cana-4889	136	1	=	=	SYM
cana-4889	136	2	mn	mn	PROPN
cana-4889	136	3	mod	mod	PROPN
cana-4889	136	4	n	n	PROPN
cana-4889	136	5	in	in	ADP
cana-4889	136	6	ciphertext	ciphertext	PROPN
cana-4889	136	7	ss_decrypt	ss_decrypt	X
cana-4889	136	8	(	(	PUNCT
cana-4889	136	9	)	)	PUNCT
cana-4889	136	10	input	input	NOUN
cana-4889	136	11	:	:	PUNCT
cana-4889	136	12	ciphertext	ciphertext	NOUN
cana-4889	136	13	message	message	NOUN
cana-4889	136	14	,	,	PUNCT
cana-4889	136	15	c	c	PROPN
cana-4889	136	16	output	output	NOUN
cana-4889	136	17	:	:	PUNCT
cana-4889	136	18	decrypted	decrypt	VERB
cana-4889	136	19	plaintext	plaintext	NOUN
cana-4889	136	20	message	message	NOUN
cana-4889	136	21	m.	m.	NOUN
cana-4889	136	22	procedure	procedure	NOUN
cana-4889	136	23	:	:	PUNCT
cana-4889	136	24	so	so	ADV
cana-4889	136	25	downloads	download	VERB
cana-4889	136	26	the	the	DET
cana-4889	136	27	ciphertext	ciphertext	ADJ
cana-4889	136	28	message	message	NOUN
cana-4889	136	29	,	,	PUNCT
cana-4889	136	30	c	c	PROPN
cana-4889	136	31	from	from	ADP
cana-4889	136	32	csp	csp	PROPN
cana-4889	136	33	premises	premise	NOUN
cana-4889	136	34	.	.	PUNCT
cana-4889	137	1	communications	communication	NOUN
cana-4889	137	2	on	on	ADP
cana-4889	137	3	applied	apply	VERB
cana-4889	137	4	nonlinear	nonlinear	ADJ
cana-4889	137	5	analysis	analysis	NOUN
cana-4889	137	6	issn	issn	NOUN
cana-4889	137	7	:	:	PUNCT
cana-4889	137	8	1074	1074	NUM
cana-4889	137	9	-	-	PUNCT
cana-4889	137	10	133x	133x	NUM
cana-4889	137	11	vol	vol	NOUN
cana-4889	137	12	32	32	NUM
cana-4889	137	13	no	no	NOUN
cana-4889	137	14	.	.	NOUN
cana-4889	137	15	1	1	NUM
cana-4889	137	16	(	(	PUNCT
cana-4889	137	17	2025	2025	NUM
cana-4889	137	18	)	)	PUNCT
cana-4889	138	1	422	422	NUM
cana-4889	138	2	https://internationalpubls.com	https://internationalpubls.com	X
cana-4889	138	3	then	then	ADV
cana-4889	138	4	,	,	PUNCT
cana-4889	138	5	so	so	SCONJ
cana-4889	138	6	decrypts	decrypt	VERB
cana-4889	138	7	the	the	DET
cana-4889	138	8	message	message	NOUN
cana-4889	138	9	,	,	PUNCT
cana-4889	138	10	c	c	NOUN
cana-4889	138	11	using	use	VERB
cana-4889	138	12	private	private	ADJ
cana-4889	138	13	key	key	NOUN
cana-4889	138	14	d	d	NOUN
cana-4889	138	15	to	to	PART
cana-4889	138	16	obtain	obtain	VERB
cana-4889	138	17	plaintext	plaintext	NOUN
cana-4889	138	18	m.	m.	NOUN
cana-4889	138	19	plaintext	plaintext	NOUN
cana-4889	138	20	m	m	PROPN
cana-4889	138	21	=	=	PROPN
cana-4889	138	22	cd	cd	PROPN
cana-4889	138	23	mod	mod	PROPN
cana-4889	138	24	pq	pq	PROPN
cana-4889	138	25	.	.	PUNCT
cana-4889	139	1	the	the	DET
cana-4889	139	2	sample	sample	NOUN
cana-4889	139	3	problem	problem	NOUN
cana-4889	139	4	is	be	AUX
cana-4889	139	5	solved	solve	VERB
cana-4889	139	6	as	as	ADP
cana-4889	139	7	an	an	DET
cana-4889	139	8	example	example	NOUN
cana-4889	139	9	using	use	VERB
cana-4889	139	10	the	the	DET
cana-4889	139	11	schmidt	schmidt	PROPN
cana-4889	139	12	samoa	samoa	PROPN
cana-4889	139	13	cryptosystem	cryptosystem	PROPN
cana-4889	139	14	.	.	PUNCT
cana-4889	140	1	generate	generate	VERB
cana-4889	140	2	two	two	NUM
cana-4889	140	3	largeprime	largeprime	NOUN
cana-4889	140	4	numbers	number	NOUN
cana-4889	140	5	,	,	PUNCT
cana-4889	140	6	p	p	NOUN
cana-4889	140	7	=	=	PROPN
cana-4889	140	8	7	7	NUM
cana-4889	140	9	and	and	CCONJ
cana-4889	140	10	q	q	NOUN
cana-4889	141	1	=	=	NOUN
cana-4889	141	2	11	11	NUM
cana-4889	141	3	.	.	PUNCT
cana-4889	142	1	(	(	PUNCT
cana-4889	142	2	small	small	ADJ
cana-4889	142	3	prime	prime	ADJ
cana-4889	142	4	numbers	number	NOUN
cana-4889	142	5	have	have	AUX
cana-4889	142	6	taken	take	VERB
cana-4889	142	7	to	to	PART
cana-4889	142	8	solve	solve	VERB
cana-4889	142	9	for	for	ADP
cana-4889	142	10	simplicity	simplicity	NOUN
cana-4889	142	11	purpose	purpose	NOUN
cana-4889	142	12	)	)	PUNCT
cana-4889	142	13	compute	compute	NOUN
cana-4889	142	14	n	n	NOUN
cana-4889	142	15	=	=	SYM
cana-4889	142	16	p2	p2	PROPN
cana-4889	142	17	*	*	PUNCT
cana-4889	142	18	q.	q.	PROPN
cana-4889	142	19	n	n	NOUN
cana-4889	142	20	=	=	SYM
cana-4889	142	21	72	72	NUM
cana-4889	142	22	*	*	SYM
cana-4889	142	23	11	11	NUM
cana-4889	142	24	=	=	SYM
cana-4889	142	25	539	539	NUM
cana-4889	142	26	.	.	PUNCT
cana-4889	143	1	compute	compute	NOUN
cana-4889	143	2	d	d	NOUN
cana-4889	143	3	=	=	PUNCT
cana-4889	143	4	n-1	n-1	NOUN
cana-4889	143	5	mod	mod	PROPN
cana-4889	143	6	lcm	lcm	PROPN
cana-4889	143	7	(	(	PUNCT
cana-4889	143	8	(	(	PUNCT
cana-4889	143	9	p-1	p-1	NOUN
cana-4889	143	10	)	)	PUNCT
cana-4889	143	11	,	,	PUNCT
cana-4889	143	12	(	(	PUNCT
cana-4889	143	13	q-1	q-1	NUM
cana-4889	143	14	)	)	PUNCT
cana-4889	143	15	)	)	PUNCT
cana-4889	143	16	.	.	PUNCT
cana-4889	144	1	d	d	NOUN
cana-4889	144	2	=	=	PUNCT
cana-4889	145	1	(	(	PUNCT
cana-4889	145	2	539)-1	539)-1	NUM
cana-4889	145	3	mod	mod	ADJ
cana-4889	145	4	lcm	lcm	NOUN
cana-4889	145	5	(	(	PUNCT
cana-4889	145	6	(	(	PUNCT
cana-4889	145	7	7	7	NUM
cana-4889	145	8	-	-	SYM
cana-4889	145	9	1	1	NUM
cana-4889	145	10	)	)	PUNCT
cana-4889	145	11	,	,	PUNCT
cana-4889	145	12	(	(	PUNCT
cana-4889	145	13	11	11	NUM
cana-4889	145	14	-	-	SYM
cana-4889	145	15	1	1	NUM
cana-4889	145	16	)	)	PUNCT
cana-4889	145	17	)	)	PUNCT
cana-4889	145	18	=	=	SYM
cana-4889	145	19	29	29	NUM
cana-4889	145	20	.	.	PUNCT
cana-4889	146	1	the	the	DET
cana-4889	146	2	public	public	ADJ
cana-4889	146	3	key	key	NOUN
cana-4889	146	4	n	n	X
cana-4889	146	5	is	be	AUX
cana-4889	146	6	539	539	NUM
cana-4889	146	7	,	,	PUNCT
cana-4889	146	8	&	&	CCONJ
cana-4889	146	9	private	private	ADJ
cana-4889	146	10	key	key	NOUN
cana-4889	146	11	d	d	PROPN
cana-4889	146	12	is	be	AUX
cana-4889	146	13	29	29	NUM
cana-4889	146	14	.	.	PUNCT
cana-4889	147	1	let	let	VERB
cana-4889	147	2	us	we	PRON
cana-4889	147	3	assume	assume	VERB
cana-4889	147	4	plaintext	plaintext	NOUN
cana-4889	147	5	m	m	NOUN
cana-4889	147	6	=	=	NOUN
cana-4889	147	7	32	32	NUM
cana-4889	147	8	.	.	PUNCT
cana-4889	148	1	for	for	ADP
cana-4889	148	2	encryption	encryption	NOUN
cana-4889	148	3	,	,	PUNCT
cana-4889	148	4	ciphertext	ciphertext	NOUN
cana-4889	148	5	c	c	PROPN
cana-4889	148	6	=	=	SYM
cana-4889	148	7	mn	mn	PROPN
cana-4889	148	8	mod	mod	PROPN
cana-4889	148	9	n	n	PROPN
cana-4889	148	10	c	c	NOUN
cana-4889	148	11	=	=	SYM
cana-4889	148	12	32539	32539	NUM
cana-4889	148	13	mod	mod	NOUN
cana-4889	148	14	539	539	NUM
cana-4889	148	15	=	=	SYM
cana-4889	148	16	373	373	NUM
cana-4889	148	17	.	.	PUNCT
cana-4889	149	1	for	for	ADP
cana-4889	149	2	decryption	decryption	NOUN
cana-4889	149	3	,	,	PUNCT
cana-4889	149	4	plaintext	plaintext	NOUN
cana-4889	149	5	m	m	NOUN
cana-4889	149	6	=	=	ADJ
cana-4889	149	7	cd	cd	PROPN
cana-4889	149	8	mod	mod	PROPN
cana-4889	149	9	pq	pq	PROPN
cana-4889	149	10	.	.	PUNCT
cana-4889	149	11	m	m	VERB
cana-4889	149	12	=	=	SYM
cana-4889	149	13	37329	37329	NUM
cana-4889	149	14	mod	mod	NOUN
cana-4889	149	15	(	(	PUNCT
cana-4889	149	16	7	7	NUM
cana-4889	149	17	*	*	NUM
cana-4889	149	18	11	11	NUM
cana-4889	149	19	)	)	PUNCT
cana-4889	149	20	=	=	SYM
cana-4889	149	21	32	32	NUM
cana-4889	149	22	.	.	PUNCT
cana-4889	150	1	the	the	DET
cana-4889	150	2	proposed	propose	VERB
cana-4889	150	3	ess	ess	NOUN
cana-4889	150	4	scheme	scheme	NOUN
cana-4889	150	5	focuses	focus	VERB
cana-4889	150	6	on	on	ADP
cana-4889	150	7	the	the	DET
cana-4889	150	8	issues	issue	NOUN
cana-4889	150	9	of	of	ADP
cana-4889	150	10	the	the	DET
cana-4889	150	11	schmidt	schmidt	PROPN
cana-4889	150	12	samoa	samoa	PROPN
cana-4889	150	13	cryptosystem	cryptosystem	PROPN
cana-4889	150	14	.	.	PUNCT
cana-4889	151	1	ess	ess	PROPN
cana-4889	151	2	uses	use	VERB
cana-4889	151	3	four	four	NUM
cana-4889	151	4	distinct	distinct	ADJ
cana-4889	151	5	prime	prime	ADJ
cana-4889	151	6	numbers	number	NOUN
cana-4889	151	7	for	for	ADP
cana-4889	151	8	generation	generation	NOUN
cana-4889	151	9	ofa	ofa	PROPN
cana-4889	151	10	public	public	ADJ
cana-4889	151	11	key	key	NOUN
cana-4889	151	12	&	&	CCONJ
cana-4889	151	13	private	private	ADJ
cana-4889	151	14	key	key	NOUN
cana-4889	151	15	.	.	PUNCT
cana-4889	152	1	in	in	ADP
cana-4889	152	2	order	order	NOUN
cana-4889	152	3	to	to	PART
cana-4889	152	4	increase	increase	VERB
cana-4889	152	5	time	time	NOUN
cana-4889	152	6	complexity	complexity	NOUN
cana-4889	152	7	of	of	ADP
cana-4889	152	8	integer	integer	NOUN
cana-4889	152	9	factorization	factorization	NOUN
cana-4889	152	10	and	and	CCONJ
cana-4889	152	11	the	the	DET
cana-4889	152	12	difficulty	difficulty	NOUN
cana-4889	152	13	level	level	NOUN
cana-4889	152	14	of	of	ADP
cana-4889	152	15	brute	brute	ADJ
cana-4889	152	16	force	force	NOUN
cana-4889	152	17	attacks	attack	NOUN
cana-4889	152	18	,	,	PUNCT
cana-4889	152	19	the	the	DET
cana-4889	152	20	ess	ess	PROPN
cana-4889	152	21	scheme	scheme	NOUN
cana-4889	152	22	is	be	AUX
cana-4889	152	23	proposed	propose	VERB
cana-4889	152	24	with	with	ADP
cana-4889	152	25	four	four	NUM
cana-4889	152	26	large	large	ADJ
cana-4889	152	27	prime	prime	ADJ
cana-4889	152	28	numbers	number	NOUN
cana-4889	152	29	instead	instead	ADV
cana-4889	152	30	of	of	ADP
cana-4889	152	31	two	two	NUM
cana-4889	152	32	large	large	ADJ
cana-4889	152	33	prime	prime	ADJ
cana-4889	152	34	numbers	number	NOUN
cana-4889	152	35	.	.	PUNCT
cana-4889	153	1	ess	ess	PROPN
cana-4889	153	2	cryptosystem	cryptosystem	NOUN
cana-4889	153	3	includes	include	VERB
cana-4889	153	4	five	five	NUM
cana-4889	153	5	modules	module	NOUN
cana-4889	153	6	,	,	PUNCT
cana-4889	153	7	•	•	NOUN
cana-4889	153	8	ess_keygen	ess_keygen	X
cana-4889	153	9	(	(	PUNCT
cana-4889	153	10	)	)	PUNCT
cana-4889	153	11	keygeneration	keygeneration	NOUN
cana-4889	153	12	module	module	NOUN
cana-4889	153	13	is	be	AUX
cana-4889	153	14	used	use	VERB
cana-4889	153	15	to	to	PART
cana-4889	153	16	generate	generate	VERB
cana-4889	153	17	public	public	ADJ
cana-4889	153	18	&	&	CCONJ
cana-4889	153	19	private	private	ADJ
cana-4889	153	20	keys	key	NOUN
cana-4889	153	21	.	.	PUNCT
cana-4889	154	1	•	•	NUM
cana-4889	154	2	ess_encrypt_x	ess_encrypt_x	PROPN
cana-4889	154	3	(	(	PUNCT
cana-4889	154	4	)	)	PUNCT
cana-4889	154	5	encryption	encryption	NOUN
cana-4889	154	6	module	module	NOUN
cana-4889	154	7	,	,	PUNCT
cana-4889	154	8	if	if	SCONJ
cana-4889	154	9	public	public	ADJ
cana-4889	154	10	key	key	NOUN
cana-4889	154	11	is	be	AUX
cana-4889	154	12	{	{	PUNCT
cana-4889	154	13	n	n	X
cana-4889	154	14	,	,	PUNCT
cana-4889	154	15	x	x	NOUN
cana-4889	154	16	}	}	PUNCT
cana-4889	154	17	•	•	NUM
cana-4889	154	18	ess_encrypt_y	ess_encrypt_y	PROPN
cana-4889	154	19	(	(	PUNCT
cana-4889	154	20	)	)	PUNCT
cana-4889	154	21	encryption	encryption	NOUN
cana-4889	154	22	module	module	NOUN
cana-4889	154	23	,	,	PUNCT
cana-4889	154	24	if	if	SCONJ
cana-4889	154	25	public	public	ADJ
cana-4889	154	26	key	key	NOUN
cana-4889	154	27	is	be	AUX
cana-4889	154	28	{	{	PUNCT
cana-4889	154	29	n	n	X
cana-4889	154	30	,	,	PUNCT
cana-4889	154	31	y	y	NOUN
cana-4889	154	32	}	}	PUNCT
cana-4889	154	33	•	•	NUM
cana-4889	154	34	ess_decrypt_x	ess_decrypt_x	PROPN
cana-4889	154	35	(	(	PUNCT
cana-4889	154	36	)	)	PUNCT
cana-4889	154	37	decryption	decryption	NOUN
cana-4889	154	38	module	module	NOUN
cana-4889	154	39	,	,	PUNCT
cana-4889	154	40	if	if	SCONJ
cana-4889	154	41	public	public	ADJ
cana-4889	154	42	key	key	NOUN
cana-4889	154	43	is	be	AUX
cana-4889	154	44	{	{	PUNCT
cana-4889	154	45	n	n	X
cana-4889	154	46	,	,	PUNCT
cana-4889	154	47	x	x	NOUN
cana-4889	154	48	}	}	PUNCT
cana-4889	154	49	•	•	ADV
cana-4889	154	50	ess_decrypt_y	ess_decrypt_y	ADV
cana-4889	154	51	(	(	PUNCT
cana-4889	154	52	)	)	PUNCT
cana-4889	154	53	decryption	decryption	NOUN
cana-4889	154	54	module	module	NOUN
cana-4889	154	55	,	,	PUNCT
cana-4889	154	56	if	if	SCONJ
cana-4889	154	57	public	public	ADJ
cana-4889	154	58	key	key	NOUN
cana-4889	154	59	is	be	AUX
cana-4889	154	60	{	{	PUNCT
cana-4889	154	61	n	n	X
cana-4889	154	62	,	,	PUNCT
cana-4889	154	63	y	y	NOUN
cana-4889	154	64	}	}	PUNCT
cana-4889	154	65	for	for	ADP
cana-4889	154	66	resource	resource	NOUN
cana-4889	154	67	access	access	NOUN
cana-4889	154	68	or	or	CCONJ
cana-4889	154	69	communication	communication	NOUN
cana-4889	154	70	in	in	ADP
cana-4889	154	71	the	the	DET
cana-4889	154	72	cloud	cloud	NOUN
cana-4889	154	73	,	,	PUNCT
cana-4889	154	74	the	the	DET
cana-4889	154	75	key	key	ADJ
cana-4889	154	76	needs	need	NOUN
cana-4889	154	77	to	to	PART
cana-4889	154	78	be	be	AUX
cana-4889	154	79	generated	generate	VERB
cana-4889	154	80	once	once	ADV
cana-4889	154	81	and	and	CCONJ
cana-4889	154	82	utilized	utilize	VERB
cana-4889	154	83	for	for	ADP
cana-4889	154	84	encryption	encryption	NOUN
cana-4889	154	85	or	or	CCONJ
cana-4889	154	86	decryption	decryption	NOUN
cana-4889	154	87	as	as	ADV
cana-4889	154	88	many	many	ADJ
cana-4889	154	89	times	time	NOUN
cana-4889	154	90	as	as	ADP
cana-4889	154	91	possible	possible	ADJ
cana-4889	154	92	.	.	PUNCT
cana-4889	155	1	the	the	DET
cana-4889	155	2	proposed	propose	VERB
cana-4889	155	3	framework	framework	NOUN
cana-4889	155	4	for	for	ADP
cana-4889	155	5	securing	secure	VERB
cana-4889	155	6	single	single	ADJ
cana-4889	155	7	owner	owner	NOUN
cana-4889	155	8	data	datum	NOUN
cana-4889	155	9	isshown	isshown	ADJ
cana-4889	155	10	in	in	ADP
cana-4889	155	11	figure	figure	NOUN
cana-4889	155	12	1	1	NUM
cana-4889	155	13	.	.	PUNCT
cana-4889	155	14	figure	figure	NOUN
cana-4889	155	15	1	1	NUM
cana-4889	155	16	:	:	PUNCT
cana-4889	155	17	proposed	propose	VERB
cana-4889	155	18	frameworks	framework	NOUN
cana-4889	155	19	for	for	ADP
cana-4889	155	20	securing	secure	VERB
cana-4889	155	21	single	single	ADJ
cana-4889	155	22	owner	owner	NOUN
cana-4889	155	23	(	(	PUNCT
cana-4889	155	24	so	so	ADV
cana-4889	155	25	)	)	PUNCT
cana-4889	155	26	data	datum	NOUN
cana-4889	155	27	communications	communication	NOUN
cana-4889	155	28	on	on	ADP
cana-4889	155	29	applied	apply	VERB
cana-4889	155	30	nonlinear	nonlinear	ADJ
cana-4889	155	31	analysis	analysis	NOUN
cana-4889	155	32	issn	issn	NOUN
cana-4889	155	33	:	:	PUNCT
cana-4889	155	34	1074	1074	NUM
cana-4889	155	35	-	-	PUNCT
cana-4889	155	36	133x	133x	NUM
cana-4889	155	37	vol	vol	NOUN
cana-4889	155	38	32	32	NUM
cana-4889	155	39	no	no	NOUN
cana-4889	155	40	.	.	NOUN
cana-4889	155	41	1	1	NUM
cana-4889	155	42	(	(	PUNCT
cana-4889	155	43	2025	2025	NUM
cana-4889	155	44	)	)	PUNCT
cana-4889	155	45	423	423	NUM
cana-4889	155	46	https://internationalpubls.com	https://internationalpubls.com	X
cana-4889	155	47	single	single	ADJ
cana-4889	155	48	owner	owner	NOUN
cana-4889	155	49	generate	generate	VERB
cana-4889	155	50	the	the	DET
cana-4889	155	51	key	key	ADJ
cana-4889	155	52	pairs	pair	NOUN
cana-4889	155	53	a	a	DET
cana-4889	155	54	publickey	publickey	NOUN
cana-4889	155	55	and	and	CCONJ
cana-4889	155	56	a	a	DET
cana-4889	155	57	private	private	ADJ
cana-4889	155	58	key	key	NOUN
cana-4889	155	59	.	.	PUNCT
cana-4889	156	1	single	single	ADJ
cana-4889	156	2	owner	owner	NOUN
cana-4889	156	3	encrypt	encrypt	VERB
cana-4889	156	4	the	the	DET
cana-4889	156	5	data	datum	NOUN
cana-4889	156	6	,	,	PUNCT
cana-4889	156	7	which	which	PRON
cana-4889	156	8	need	need	VERB
cana-4889	156	9	to	to	PART
cana-4889	156	10	be	be	AUX
cana-4889	156	11	stored	store	VERB
cana-4889	156	12	in	in	ADP
cana-4889	156	13	cloud	cloud	NOUN
cana-4889	156	14	.	.	PUNCT
cana-4889	157	1	based	base	VERB
cana-4889	157	2	on	on	ADP
cana-4889	157	3	the	the	DET
cana-4889	157	4	necessity	necessity	NOUN
cana-4889	157	5	,	,	PUNCT
cana-4889	157	6	a	a	DET
cana-4889	157	7	single	single	ADJ
cana-4889	157	8	owner	owner	NOUN
cana-4889	157	9	himself	himself	PRON
cana-4889	157	10	/	/	SYM
cana-4889	157	11	herself	herself	PRON
cana-4889	157	12	will	will	AUX
cana-4889	157	13	decrypt	decrypt	VERB
cana-4889	157	14	the	the	DET
cana-4889	157	15	data	datum	NOUN
cana-4889	157	16	after	after	ADP
cana-4889	157	17	retrieving	retrieve	VERB
cana-4889	157	18	the	the	DET
cana-4889	157	19	ciphertext	ciphertext	NOUN
cana-4889	157	20	from	from	ADP
cana-4889	157	21	the	the	DET
cana-4889	157	22	cloud	cloud	NOUN
cana-4889	157	23	.	.	PUNCT
cana-4889	158	1	ess	ess	PROPN
cana-4889	158	2	keyigeneration	keyigeneration	PROPN
cana-4889	158	3	algorithm	algorithm	PROPN
cana-4889	158	4	the	the	DET
cana-4889	158	5	proposed	propose	VERB
cana-4889	158	6	ess	ess	PROPN
cana-4889	158	7	key	key	ADJ
cana-4889	158	8	generation	generation	NOUN
cana-4889	158	9	(	(	PUNCT
cana-4889	158	10	ess_keygen	ess_keygen	X
cana-4889	158	11	(	(	PUNCT
cana-4889	158	12	)	)	PUNCT
cana-4889	158	13	)	)	PUNCT
cana-4889	158	14	algorithm	algorithm	NOUN
cana-4889	158	15	for	for	ADP
cana-4889	158	16	single	single	ADJ
cana-4889	158	17	owner	owner	NOUN
cana-4889	158	18	cloud	cloud	NOUN
cana-4889	158	19	data	datum	NOUN
cana-4889	158	20	is	be	AUX
cana-4889	158	21	given	give	VERB
cana-4889	158	22	in	in	ADP
cana-4889	158	23	algorithm	algorithm	NOUN
cana-4889	158	24	2	2	NUM
cana-4889	158	25	,	,	PUNCT
cana-4889	158	26	which	which	PRON
cana-4889	158	27	makes	make	VERB
cana-4889	158	28	use	use	NOUN
cana-4889	158	29	of	of	ADP
cana-4889	158	30	four	four	NUM
cana-4889	158	31	largeprime	largeprime	NOUN
cana-4889	158	32	numbers	number	NOUN
cana-4889	158	33	namely	namely	ADV
cana-4889	158	34	p	p	X
cana-4889	158	35	,	,	PUNCT
cana-4889	158	36	q	q	ADJ
cana-4889	158	37	,	,	PUNCT
cana-4889	158	38	r	r	NOUN
cana-4889	158	39	,	,	PUNCT
cana-4889	158	40	and	and	CCONJ
cana-4889	158	41	s.	s.	PROPN
cana-4889	158	42	the	the	DET
cana-4889	158	43	least	least	ADV
cana-4889	158	44	common	common	ADJ
cana-4889	158	45	multiplier	multipli	ADJ
cana-4889	158	46	has	have	AUX
cana-4889	158	47	been	be	AUX
cana-4889	158	48	computed	compute	VERB
cana-4889	158	49	as	as	ADP
cana-4889	158	50	l	l	NOUN
cana-4889	158	51	between	between	ADP
cana-4889	158	52	(	(	PUNCT
cana-4889	158	53	p-1	p-1	NOUN
cana-4889	158	54	)	)	PUNCT
cana-4889	158	55	,	,	PUNCT
cana-4889	158	56	(	(	PUNCT
cana-4889	158	57	q-1	q-1	NUM
cana-4889	158	58	)	)	PUNCT
cana-4889	158	59	,	,	PUNCT
cana-4889	158	60	and	and	CCONJ
cana-4889	158	61	as	as	SCONJ
cana-4889	158	62	m	m	PRON
cana-4889	158	63	between	between	ADP
cana-4889	158	64	(	(	PUNCT
cana-4889	158	65	r-1	r-1	PROPN
cana-4889	158	66	)	)	PUNCT
cana-4889	158	67	,	,	PUNCT
cana-4889	158	68	(	(	PUNCT
cana-4889	158	69	s-1	s-1	PROPN
cana-4889	158	70	)	)	PUNCT
cana-4889	158	71	.	.	PUNCT
cana-4889	159	1	multiply	multiply	VERB
cana-4889	159	2	the	the	DET
cana-4889	159	3	two	two	NUM
cana-4889	159	4	prime	prime	ADJ
cana-4889	159	5	numbers	number	NOUN
cana-4889	159	6	p	p	NOUN
cana-4889	159	7	,	,	PUNCT
cana-4889	159	8	q	q	X
cana-4889	159	9	as	as	ADP
cana-4889	159	10	x	x	PROPN
cana-4889	159	11	and	and	CCONJ
cana-4889	159	12	r	r	NOUN
cana-4889	159	13	,	,	PUNCT
cana-4889	159	14	s	s	X
cana-4889	159	15	as	as	SCONJ
cana-4889	159	16	y.	y.	NOUN
cana-4889	159	17	the	the	DET
cana-4889	159	18	mandatory	mandatory	ADJ
cana-4889	159	19	condition	condition	NOUN
cana-4889	159	20	that	that	SCONJ
cana-4889	159	21	greatest	great	ADJ
cana-4889	159	22	common	common	ADJ
cana-4889	159	23	divisors	divisor	NOUN
cana-4889	159	24	between	between	ADP
cana-4889	159	25	x	x	NOUN
cana-4889	159	26	,	,	PUNCT
cana-4889	159	27	l	l	NOUN
cana-4889	159	28	,	,	PUNCT
cana-4889	159	29	and	and	CCONJ
cana-4889	159	30	y	y	PROPN
cana-4889	159	31	,	,	PUNCT
cana-4889	159	32	m	m	PROPN
cana-4889	159	33	must	must	AUX
cana-4889	159	34	be	be	AUX
cana-4889	159	35	1	1	NUM
cana-4889	159	36	.	.	PUNCT
cana-4889	160	1	the	the	DET
cana-4889	160	2	value	value	NOUN
cana-4889	160	3	of	of	ADP
cana-4889	160	4	x	x	NOUN
cana-4889	160	5	'	'	PUNCT
cana-4889	160	6	is	be	AUX
cana-4889	160	7	computed	compute	VERB
cana-4889	160	8	by	by	ADP
cana-4889	160	9	finding	find	VERB
cana-4889	160	10	the	the	DET
cana-4889	160	11	multiplicative	multiplicative	ADJ
cana-4889	160	12	inverse	inverse	NOUN
cana-4889	160	13	of	of	ADP
cana-4889	160	14	x	x	SYM
cana-4889	160	15	mod	mod	PROPN
cana-4889	160	16	l.	l.	PROPN
cana-4889	160	17	similarly	similarly	ADV
cana-4889	160	18	,	,	PUNCT
cana-4889	160	19	the	the	DET
cana-4889	160	20	value	value	NOUN
cana-4889	160	21	y	y	NOUN
cana-4889	160	22	'	'	PUNCT
cana-4889	160	23	is	be	AUX
cana-4889	160	24	computed	compute	VERB
cana-4889	160	25	by	by	ADP
cana-4889	160	26	finding	find	VERB
cana-4889	160	27	multiplicative	multiplicative	ADJ
cana-4889	160	28	inverse	inverse	NOUN
cana-4889	160	29	of	of	ADP
cana-4889	160	30	y	y	PROPN
cana-4889	160	31	mod	mod	PROPN
cana-4889	160	32	m.	m.	PROPN
cana-4889	160	33	multiple	multiple	ADJ
cana-4889	160	34	x	x	NOUN
cana-4889	160	35	'	'	PUNCT
cana-4889	160	36	and	and	CCONJ
cana-4889	160	37	y	y	NOUN
cana-4889	160	38	'	'	PUNCT
cana-4889	160	39	to	to	PART
cana-4889	160	40	get	get	VERB
cana-4889	160	41	the	the	DET
cana-4889	160	42	value	value	NOUN
cana-4889	160	43	of	of	ADP
cana-4889	160	44	z.	z.	PROPN
cana-4889	161	1	if	if	SCONJ
cana-4889	161	2	greatest	great	ADJ
cana-4889	161	3	common	common	ADJ
cana-4889	161	4	divisor	divisor	NOUN
cana-4889	161	5	of	of	ADP
cana-4889	161	6	z	z	PROPN
cana-4889	161	7	&	&	CCONJ
cana-4889	161	8	l	l	PROPN
cana-4889	161	9	is	be	AUX
cana-4889	161	10	one	one	NUM
cana-4889	161	11	,	,	PUNCT
cana-4889	161	12	then	then	ADV
cana-4889	161	13	–	–	PUNCT
cana-4889	161	14	•	•	NUM
cana-4889	161	15	compute	compute	NOUN
cana-4889	161	16	n	n	PROPN
cana-4889	161	17	as	as	ADP
cana-4889	161	18	z	z	PROPN
cana-4889	161	19	mod	mod	PROPN
cana-4889	161	20	l	l	NOUN
cana-4889	161	21	•	•	NOUN
cana-4889	161	22	perform	perform	VERB
cana-4889	161	23	multiplicative	multiplicative	ADJ
cana-4889	161	24	inverse	inverse	NOUN
cana-4889	161	25	of	of	ADP
cana-4889	161	26	n	n	DET
cana-4889	161	27	mod	mod	PROPN
cana-4889	161	28	l	l	PROPN
cana-4889	161	29	as	as	SCONJ
cana-4889	161	30	d.	d.	PROPN
cana-4889	161	31	so	so	ADV
cana-4889	161	32	the	the	DET
cana-4889	161	33	public	public	ADJ
cana-4889	161	34	keys	key	NOUN
cana-4889	161	35	are	be	AUX
cana-4889	161	36	{	{	PUNCT
cana-4889	161	37	n	n	X
cana-4889	161	38	,	,	PUNCT
cana-4889	161	39	x	x	NOUN
cana-4889	161	40	}	}	PUNCT
cana-4889	161	41	&	&	CCONJ
cana-4889	161	42	private	private	ADJ
cana-4889	161	43	key	key	NOUN
cana-4889	161	44	is	be	AUX
cana-4889	161	45	{	{	PUNCT
cana-4889	161	46	d	d	NOUN
cana-4889	161	47	}	}	PUNCT
cana-4889	161	48	.	.	PUNCT
cana-4889	162	1	else	else	ADV
cana-4889	162	2	if	if	SCONJ
cana-4889	162	3	the	the	DET
cana-4889	162	4	greatest	great	ADJ
cana-4889	162	5	commondivisor	commondivisor	NOUN
cana-4889	162	6	of	of	ADP
cana-4889	162	7	z	z	PROPN
cana-4889	162	8	and	and	CCONJ
cana-4889	162	9	m	m	PROPN
cana-4889	162	10	is	be	AUX
cana-4889	162	11	one	one	NUM
cana-4889	162	12	,	,	PUNCT
cana-4889	162	13	then	then	ADV
cana-4889	162	14	•	•	NUM
cana-4889	162	15	compute	compute	NOUN
cana-4889	162	16	n	n	PROPN
cana-4889	162	17	as	as	ADP
cana-4889	162	18	z	z	PROPN
cana-4889	162	19	mod	mod	PROPN
cana-4889	162	20	m	m	PROPN
cana-4889	162	21	•	•	NOUN
cana-4889	162	22	perform	perform	VERB
cana-4889	162	23	the	the	DET
cana-4889	162	24	multiplicative	multiplicative	ADJ
cana-4889	162	25	inverse	inverse	NOUN
cana-4889	162	26	ozf	ozf	PRON
cana-4889	162	27	n	n	CCONJ
cana-4889	162	28	mod	mod	PROPN
cana-4889	162	29	m	m	PROPN
cana-4889	162	30	as	as	SCONJ
cana-4889	162	31	d.	d.	PROPN
cana-4889	162	32	the	the	DET
cana-4889	162	33	public	public	PROPN
cana-4889	162	34	keysare	keysare	NOUN
cana-4889	162	35	{	{	PUNCT
cana-4889	162	36	n	n	X
cana-4889	162	37	,	,	PUNCT
cana-4889	162	38	y	y	NOUN
cana-4889	162	39	}	}	PUNCT
cana-4889	162	40	&	&	CCONJ
cana-4889	162	41	private	private	ADJ
cana-4889	162	42	key	key	NOUN
cana-4889	162	43	is	be	AUX
cana-4889	162	44	{	{	PUNCT
cana-4889	162	45	d	d	NOUN
cana-4889	162	46	}	}	PUNCT
cana-4889	162	47	.	.	PUNCT
cana-4889	163	1	since	since	SCONJ
cana-4889	163	2	l	l	PROPN
cana-4889	163	3	and	and	CCONJ
cana-4889	163	4	m	m	PROPN
cana-4889	163	5	are	be	AUX
cana-4889	163	6	not	not	PART
cana-4889	163	7	publicly	publicly	ADV
cana-4889	163	8	known	know	VERB
cana-4889	163	9	,	,	PUNCT
cana-4889	163	10	it	it	PRON
cana-4889	163	11	is	be	AUX
cana-4889	163	12	difficult	difficult	ADJ
cana-4889	163	13	to	to	PART
cana-4889	163	14	break	break	VERB
cana-4889	163	15	private	private	ADJ
cana-4889	163	16	key	key	NOUN
cana-4889	163	17	by	by	ADP
cana-4889	163	18	knowing	know	VERB
cana-4889	163	19	public	public	ADJ
cana-4889	163	20	key	key	ADJ
cana-4889	163	21	cryptosystem	cryptosystem	NOUN
cana-4889	163	22	.	.	PUNCT
cana-4889	164	1	algorithm	algorithm	PROPN
cana-4889	164	2	2	2	NUM
cana-4889	164	3	:	:	PUNCT
cana-4889	164	4	ess	ess	PROPN
cana-4889	164	5	key	key	ADJ
cana-4889	164	6	generation	generation	NOUN
cana-4889	164	7	for	for	ADP
cana-4889	164	8	single	single	ADJ
cana-4889	164	9	owner	owner	NOUN
cana-4889	164	10	cloud	cloud	PROPN
cana-4889	164	11	data	datum	NOUN
cana-4889	164	12	ess_keygen	ess_keygen	NOUN
cana-4889	164	13	(	(	PUNCT
cana-4889	164	14	)	)	PUNCT
cana-4889	164	15	input	input	NOUN
cana-4889	164	16	:	:	PUNCT
cana-4889	164	17	four	four	NUM
cana-4889	164	18	largeprime	largeprime	NOUN
cana-4889	164	19	numbers	number	NOUN
cana-4889	164	20	p	p	X
cana-4889	164	21	,	,	PUNCT
cana-4889	164	22	q	q	ADJ
cana-4889	164	23	,	,	PUNCT
cana-4889	164	24	r	r	NOUN
cana-4889	164	25	,	,	PUNCT
cana-4889	164	26	and	and	CCONJ
cana-4889	164	27	s.	s.	PROPN
cana-4889	164	28	output	output	PROPN
cana-4889	164	29	:	:	PUNCT
cana-4889	164	30	public	public	ADJ
cana-4889	164	31	key	key	NOUN
cana-4889	164	32	:	:	PUNCT
cana-4889	164	33	{	{	PUNCT
cana-4889	164	34	n	n	CCONJ
cana-4889	164	35	,	,	PUNCT
cana-4889	164	36	x	x	NOUN
cana-4889	164	37	}	}	PUNCT
cana-4889	164	38	or	or	CCONJ
cana-4889	164	39	{	{	PUNCT
cana-4889	164	40	n	n	CCONJ
cana-4889	164	41	,	,	PUNCT
cana-4889	164	42	y	y	PROPN
cana-4889	164	43	}	}	PUNCT
cana-4889	164	44	,	,	PUNCT
cana-4889	164	45	private	private	ADJ
cana-4889	164	46	key	key	NOUN
cana-4889	164	47	:	:	PUNCT
cana-4889	164	48	{	{	PUNCT
cana-4889	164	49	d	d	NOUN
cana-4889	164	50	}	}	PUNCT
cana-4889	164	51	procedure	procedure	NOUN
cana-4889	164	52	:	:	PUNCT
cana-4889	164	53	/	/	SYM
cana-4889	164	54	*	*	PUNCT
cana-4889	164	55	compute	compute	NOUN
cana-4889	164	56	least	least	ADJ
cana-4889	164	57	common	common	ADJ
cana-4889	164	58	multiplier	multipli	ADJ
cana-4889	164	59	(	(	PUNCT
cana-4889	164	60	lcm	lcm	NOUN
cana-4889	164	61	)	)	PUNCT
cana-4889	164	62	between	between	ADP
cana-4889	164	63	p-1	p-1	NOUN
cana-4889	164	64	and	and	CCONJ
cana-4889	164	65	q-1*/	q-1*/	NOUN
cana-4889	164	66	l	l	NOUN
cana-4889	164	67	=	=	SYM
cana-4889	164	68	lcm((p-1	lcm((p-1	PROPN
cana-4889	164	69	)	)	PUNCT
cana-4889	164	70	,	,	PUNCT
cana-4889	164	71	(	(	PUNCT
cana-4889	164	72	q-1	q-1	NUM
cana-4889	164	73	)	)	PUNCT
cana-4889	164	74	)	)	PUNCT
cana-4889	164	75	/	/	PUNCT
cana-4889	165	1	*	*	PUNCT
cana-4889	165	2	compute	compute	NOUN
cana-4889	165	3	least	least	ADJ
cana-4889	165	4	common	common	ADJ
cana-4889	165	5	multiplier	multipli	ADJ
cana-4889	165	6	(	(	PUNCT
cana-4889	165	7	lcm	lcm	NOUN
cana-4889	165	8	)	)	PUNCT
cana-4889	165	9	between	between	ADP
cana-4889	165	10	r-1	r-1	NOUN
cana-4889	165	11	and	and	CCONJ
cana-4889	165	12	s-1	s-1	NOUN
cana-4889	165	13	*	*	PUNCT
cana-4889	165	14	/	/	SYM
cana-4889	165	15	m	m	PROPN
cana-4889	165	16	=	=	SYM
cana-4889	165	17	lcm((r-1	lcm((r-1	PROPN
cana-4889	165	18	)	)	PUNCT
cana-4889	165	19	,	,	PUNCT
cana-4889	165	20	(	(	PUNCT
cana-4889	165	21	s-1	s-1	NOUN
cana-4889	165	22	)	)	PUNCT
cana-4889	165	23	)	)	PUNCT
cana-4889	166	1	/*perform	/*perform	PUNCT
cana-4889	166	2	multiplication	multiplication	NOUN
cana-4889	166	3	between	between	ADP
cana-4889	166	4	two	two	NUM
cana-4889	166	5	prime	prime	ADJ
cana-4889	166	6	numbers*/	numbers*/	NOUN
cana-4889	166	7	x	x	PUNCT
cana-4889	166	8	=	=	PUNCT
cana-4889	167	1	p	p	X
cana-4889	167	2	*	*	PUNCT
cana-4889	167	3	q	q	PROPN
cana-4889	167	4	&	&	CCONJ
cana-4889	167	5	y	y	PROPN
cana-4889	167	6	=	=	SYM
cana-4889	167	7	r	r	NOUN
cana-4889	167	8	*	*	PUNCT
cana-4889	167	9	s	s	PART
cana-4889	167	10	/*compute	/*compute	PROPN
cana-4889	167	11	gcd	gcd	PROPN
cana-4889	167	12	&	&	CCONJ
cana-4889	167	13	inverses*/	inverses*/	PROPN
cana-4889	167	14	if	if	SCONJ
cana-4889	167	15	gcd	gcd	X
cana-4889	167	16	(	(	PUNCT
cana-4889	167	17	x	x	NOUN
cana-4889	167	18	,	,	PUNCT
cana-4889	167	19	l	l	NOUN
cana-4889	167	20	)	)	PUNCT
cana-4889	167	21	=	=	SYM
cana-4889	168	1	1	1	NUM
cana-4889	168	2	then	then	ADV
cana-4889	168	3	x	x	X
cana-4889	168	4	'	'	PUNCT
cana-4889	168	5	=	=	SYM
cana-4889	168	6	x-1	x-1	PROPN
cana-4889	168	7	mod	mod	PROPN
cana-4889	168	8	l	l	PROPN
cana-4889	168	9	else	else	ADV
cana-4889	168	10	if	if	SCONJ
cana-4889	168	11	gcd	gcd	X
cana-4889	168	12	(	(	PUNCT
cana-4889	168	13	y	y	PROPN
cana-4889	168	14	,	,	PUNCT
cana-4889	168	15	m	m	NOUN
cana-4889	168	16	)	)	PUNCT
cana-4889	168	17	=	=	SYM
cana-4889	169	1	1	1	NUM
cana-4889	169	2	then	then	ADV
cana-4889	169	3	y	y	PROPN
cana-4889	169	4	'	'	PUNCT
cana-4889	169	5	=	=	SYM
cana-4889	169	6	y-1	y-1	PROPN
cana-4889	169	7	mod	mod	PROPN
cana-4889	169	8	m	m	PROPN
cana-4889	169	9	communications	communication	NOUN
cana-4889	169	10	on	on	ADP
cana-4889	169	11	applied	apply	VERB
cana-4889	169	12	nonlinear	nonlinear	ADJ
cana-4889	169	13	analysis	analysis	NOUN
cana-4889	169	14	issn	issn	NOUN
cana-4889	169	15	:	:	PUNCT
cana-4889	169	16	1074	1074	NUM
cana-4889	169	17	-	-	PUNCT
cana-4889	169	18	133x	133x	NUM
cana-4889	169	19	vol	vol	NOUN
cana-4889	169	20	32	32	NUM
cana-4889	169	21	no	no	NOUN
cana-4889	169	22	.	.	NOUN
cana-4889	169	23	1	1	NUM
cana-4889	169	24	(	(	PUNCT
cana-4889	169	25	2025	2025	NUM
cana-4889	169	26	)	)	PUNCT
cana-4889	169	27	424	424	NUM
cana-4889	169	28	https://internationalpubls.com	https://internationalpubls.com	X
cana-4889	169	29	/*perform	/*perform	PUNCT
cana-4889	169	30	multiplication	multiplication	NOUN
cana-4889	169	31	between	between	ADP
cana-4889	169	32	x	x	NOUN
cana-4889	169	33	'	'	PUNCT
cana-4889	169	34	and	and	CCONJ
cana-4889	169	35	y	y	NOUN
cana-4889	169	36	'	'	PUNCT
cana-4889	169	37	*	*	ADJ
cana-4889	169	38	/	/	SYM
cana-4889	169	39	z	z	NOUN
cana-4889	169	40	=	=	PUNCT
cana-4889	169	41	x	x	NOUN
cana-4889	169	42	'	'	NOUN
cana-4889	169	43	*	*	PUNCT
cana-4889	170	1	y	y	X
cana-4889	170	2	'	'	PUNCT
cana-4889	170	3	/	/	SYM
cana-4889	170	4	*	*	PUNCT
cana-4889	170	5	generate	generate	VERB
cana-4889	170	6	public	public	ADJ
cana-4889	170	7	and	and	CCONJ
cana-4889	170	8	private	private	ADJ
cana-4889	170	9	key*/	key*/	NOUN
cana-4889	170	10	if	if	SCONJ
cana-4889	170	11	(	(	PUNCT
cana-4889	170	12	gcd(z	gcd(z	X
cana-4889	170	13	,	,	PUNCT
cana-4889	170	14	l	l	NOUN
cana-4889	170	15	)	)	PUNCT
cana-4889	170	16	=	=	SYM
cana-4889	171	1	=	=	SYM
cana-4889	171	2	1	1	X
cana-4889	171	3	)	)	PUNCT
cana-4889	171	4	then	then	ADV
cana-4889	171	5	n	n	PROPN
cana-4889	171	6	=	=	SYM
cana-4889	172	1	z	z	PROPN
cana-4889	172	2	mod	mod	PROPN
cana-4889	172	3	l	l	PROPN
cana-4889	172	4	,	,	PUNCT
cana-4889	172	5	d	d	NOUN
cana-4889	172	6	=	=	PUNCT
cana-4889	172	7	n-1	n-1	NOUN
cana-4889	172	8	mod	mod	PROPN
cana-4889	172	9	l	l	PROPN
cana-4889	172	10	return	return	NOUN
cana-4889	172	11	{	{	PUNCT
cana-4889	172	12	n	n	CCONJ
cana-4889	172	13	,	,	PUNCT
cana-4889	172	14	x	x	X
cana-4889	172	15	,	,	PUNCT
cana-4889	172	16	d	d	NOUN
cana-4889	172	17	}	}	PUNCT
cana-4889	172	18	elseif	elseif	NOUN
cana-4889	172	19	(	(	PUNCT
cana-4889	172	20	gcd(z	gcd(z	PROPN
cana-4889	172	21	,	,	PUNCT
cana-4889	172	22	m	m	NOUN
cana-4889	172	23	)	)	PUNCT
cana-4889	172	24	=	=	PUNCT
cana-4889	173	1	=	=	SYM
cana-4889	173	2	1	1	X
cana-4889	173	3	)	)	PUNCT
cana-4889	173	4	then	then	ADV
cana-4889	173	5	n	n	PROPN
cana-4889	173	6	=	=	SYM
cana-4889	173	7	z	z	PROPN
cana-4889	173	8	mod	mod	PROPN
cana-4889	173	9	m	m	PROPN
cana-4889	173	10	,	,	PUNCT
cana-4889	174	1	d	d	NOUN
cana-4889	174	2	=	=	PUNCT
cana-4889	174	3	n-1	n-1	NOUN
cana-4889	174	4	mod	mod	PROPN
cana-4889	174	5	m	m	PROPN
cana-4889	174	6	return	return	NOUN
cana-4889	174	7	{	{	PUNCT
cana-4889	174	8	n	n	X
cana-4889	174	9	,	,	PUNCT
cana-4889	174	10	y	y	PROPN
cana-4889	174	11	,	,	PUNCT
cana-4889	174	12	d	d	NOUN
cana-4889	174	13	}	}	PUNCT
cana-4889	174	14	ess	ess	NOUN
cana-4889	174	15	encryption	encryption	NOUN
cana-4889	174	16	based	base	VERB
cana-4889	174	17	on	on	ADP
cana-4889	174	18	the	the	DET
cana-4889	174	19	public	public	ADJ
cana-4889	174	20	key	key	ADJ
cana-4889	174	21	generation	generation	NOUN
cana-4889	174	22	from	from	ADP
cana-4889	174	23	ess_keygen	ess_keygen	NOUN
cana-4889	174	24	(	(	PUNCT
cana-4889	174	25	)	)	PUNCT
cana-4889	174	26	algorithm	algorithm	NOUN
cana-4889	174	27	,	,	PUNCT
cana-4889	174	28	encryption	encryption	NOUN
cana-4889	174	29	algorithms	algorithm	VERB
cana-4889	174	30	ess_encrypt_x	ess_encrypt_x	PROPN
cana-4889	174	31	(	(	PUNCT
cana-4889	174	32	)	)	PUNCT
cana-4889	174	33	or	or	CCONJ
cana-4889	174	34	ess_encrypt_y	ess_encrypt_y	PROPN
cana-4889	174	35	(	(	PUNCT
cana-4889	174	36	)	)	PUNCT
cana-4889	174	37	will	will	AUX
cana-4889	174	38	be	be	AUX
cana-4889	174	39	selected	select	VERB
cana-4889	174	40	to	to	PART
cana-4889	174	41	perform	perform	VERB
cana-4889	174	42	encryption	encryption	NOUN
cana-4889	174	43	of	of	ADP
cana-4889	174	44	the	the	DET
cana-4889	174	45	cloud	cloud	ADJ
cana-4889	174	46	single	single	ADJ
cana-4889	174	47	owner	owner	NOUN
cana-4889	174	48	data	data	PROPN
cana-4889	174	49	.	.	PUNCT
cana-4889	175	1	figure	figure	NOUN
cana-4889	175	2	3.2	3.2	NUM
cana-4889	175	3	provides	provide	VERB
cana-4889	175	4	the	the	DET
cana-4889	175	5	flow	flow	NOUN
cana-4889	175	6	diagram	diagram	NOUN
cana-4889	175	7	of	of	ADP
cana-4889	175	8	ess	ess	NOUN
cana-4889	175	9	encryption	encryption	NOUN
cana-4889	175	10	.	.	PUNCT
cana-4889	176	1	if	if	SCONJ
cana-4889	176	2	the	the	DET
cana-4889	176	3	public	public	ADJ
cana-4889	176	4	keys	key	NOUN
cana-4889	176	5	generated	generate	VERB
cana-4889	176	6	are	be	AUX
cana-4889	176	7	{	{	PUNCT
cana-4889	176	8	n	n	X
cana-4889	176	9	,	,	PUNCT
cana-4889	176	10	x	x	NOUN
cana-4889	176	11	}	}	PUNCT
cana-4889	176	12	then	then	ADV
cana-4889	176	13	ess_encrypt_x	ess_encrypt_x	PROPN
cana-4889	176	14	(	(	PUNCT
cana-4889	176	15	)	)	PUNCT
cana-4889	176	16	method	method	NOUN
cana-4889	176	17	needs	need	VERB
cana-4889	176	18	to	to	PART
cana-4889	176	19	be	be	AUX
cana-4889	176	20	considered	consider	VERB
cana-4889	176	21	for	for	ADP
cana-4889	176	22	enhanced	enhanced	ADJ
cana-4889	176	23	schmidt	schmidt	PROPN
cana-4889	176	24	samoa	samoa	PROPN
cana-4889	176	25	encryption	encryption	NOUN
cana-4889	176	26	.	.	PUNCT
cana-4889	177	1	in	in	ADP
cana-4889	177	2	ess_encrypt_x	ess_encrypt_x	PROPN
cana-4889	177	3	(	(	PUNCT
cana-4889	177	4	)	)	PUNCT
cana-4889	177	5	method	method	NOUN
cana-4889	177	6	,	,	PUNCT
cana-4889	177	7	plaintext	plaintext	NOUN
cana-4889	177	8	'	'	PUNCT
cana-4889	177	9	m	m	NOUN
cana-4889	177	10	'	'	PUNCT
cana-4889	177	11	and	and	CCONJ
cana-4889	177	12	public	public	ADJ
cana-4889	177	13	keys	key	NOUN
cana-4889	177	14	{	{	PUNCT
cana-4889	177	15	n	n	X
cana-4889	177	16	,	,	PUNCT
cana-4889	177	17	x	x	NOUN
cana-4889	177	18	}	}	PUNCT
cana-4889	177	19	are	be	AUX
cana-4889	177	20	considered	consider	VERB
cana-4889	177	21	as	as	ADP
cana-4889	177	22	inputs	input	NOUN
cana-4889	177	23	.	.	PUNCT
cana-4889	178	1	then	then	ADV
cana-4889	178	2	ciphertext	ciphertext	VERB
cana-4889	178	3	'	'	PUNCT
cana-4889	178	4	c	c	AUX
cana-4889	178	5	'	'	PUNCT
cana-4889	178	6	is	be	AUX
cana-4889	178	7	computed	compute	VERB
cana-4889	178	8	as	as	ADP
cana-4889	178	9	plaintext	plaintext	NOUN
cana-4889	178	10	'	'	PUNCT
cana-4889	178	11	m	m	NOUN
cana-4889	178	12	'	'	PUNCT
cana-4889	178	13	to	to	ADP
cana-4889	178	14	the	the	DET
cana-4889	178	15	power	power	NOUN
cana-4889	178	16	of	of	ADP
cana-4889	178	17	public	public	ADJ
cana-4889	178	18	key	key	ADJ
cana-4889	178	19	'	'	PUNCT
cana-4889	178	20	x	x	NOUN
cana-4889	178	21	'	'	PUNCT
cana-4889	178	22	over	over	ADP
cana-4889	178	23	modulus	modulus	NOUN
cana-4889	178	24	to	to	ADP
cana-4889	178	25	another	another	DET
cana-4889	178	26	public	public	ADJ
cana-4889	178	27	key	key	NOUN
cana-4889	178	28	'	'	CCONJ
cana-4889	178	29	n	n	CCONJ
cana-4889	178	30	'	'	NOUN
cana-4889	178	31	.	.	PUNCT
cana-4889	179	1	else	else	ADV
cana-4889	179	2	if	if	SCONJ
cana-4889	179	3	the	the	DET
cana-4889	179	4	public	public	ADJ
cana-4889	179	5	keys	key	NOUN
cana-4889	179	6	generated	generate	VERB
cana-4889	179	7	are	be	AUX
cana-4889	179	8	{	{	PUNCT
cana-4889	179	9	n	n	X
cana-4889	179	10	,	,	PUNCT
cana-4889	179	11	y	y	PROPN
cana-4889	179	12	}	}	PUNCT
cana-4889	179	13	,	,	PUNCT
cana-4889	179	14	then	then	ADV
cana-4889	179	15	ess_encrypt_y	ess_encrypt_y	PROPN
cana-4889	179	16	(	(	PUNCT
cana-4889	179	17	)	)	PUNCT
cana-4889	179	18	method	method	NOUN
cana-4889	179	19	need	need	VERB
cana-4889	179	20	to	to	PART
cana-4889	179	21	be	be	AUX
cana-4889	179	22	considered	consider	VERB
cana-4889	179	23	for	for	ADP
cana-4889	179	24	enhanced	enhanced	ADJ
cana-4889	179	25	schmidt	schmidt	PROPN
cana-4889	179	26	samoa	samoa	PROPN
cana-4889	179	27	encryption	encryption	NOUN
cana-4889	179	28	.	.	PUNCT
cana-4889	180	1	in	in	ADP
cana-4889	180	2	ess_encrypt_y	ess_encrypt_y	PROPN
cana-4889	180	3	(	(	PUNCT
cana-4889	180	4	)	)	PUNCT
cana-4889	180	5	method	method	NOUN
cana-4889	180	6	,	,	PUNCT
cana-4889	180	7	plaintext	plaintext	NOUN
cana-4889	180	8	'	'	PUNCT
cana-4889	180	9	m	m	NOUN
cana-4889	180	10	'	'	PUNCT
cana-4889	180	11	and	and	CCONJ
cana-4889	180	12	public	public	ADJ
cana-4889	180	13	keys	key	NOUN
cana-4889	180	14	{	{	PUNCT
cana-4889	180	15	n	n	X
cana-4889	180	16	,	,	PUNCT
cana-4889	180	17	y	y	NOUN
cana-4889	180	18	}	}	PUNCT
cana-4889	180	19	are	be	AUX
cana-4889	180	20	considered	consider	VERB
cana-4889	180	21	as	as	ADP
cana-4889	180	22	inputs	input	NOUN
cana-4889	180	23	.	.	PUNCT
cana-4889	181	1	then	then	ADV
cana-4889	181	2	,	,	PUNCT
cana-4889	181	3	ciphertext	ciphertext	NOUN
cana-4889	181	4	'	'	PUNCT
cana-4889	181	5	c	c	AUX
cana-4889	181	6	'	'	PUNCT
cana-4889	181	7	is	be	AUX
cana-4889	181	8	computed	compute	VERB
cana-4889	181	9	as	as	ADP
cana-4889	181	10	plaintext	plaintext	NOUN
cana-4889	181	11	'	'	PUNCT
cana-4889	181	12	m	m	NOUN
cana-4889	181	13	'	'	PUNCT
cana-4889	181	14	to	to	ADP
cana-4889	181	15	the	the	DET
cana-4889	181	16	power	power	NOUN
cana-4889	181	17	of	of	ADP
cana-4889	181	18	public	public	ADJ
cana-4889	181	19	key	key	ADJ
cana-4889	181	20	'	'	PUNCT
cana-4889	181	21	y	y	NOUN
cana-4889	181	22	'	'	PUNCT
cana-4889	181	23	over	over	ADP
cana-4889	181	24	modulus	modulus	NOUN
cana-4889	181	25	to	to	ADP
cana-4889	181	26	another	another	DET
cana-4889	181	27	public	public	ADJ
cana-4889	181	28	key	key	NOUN
cana-4889	181	29	'	'	CCONJ
cana-4889	181	30	n	n	CCONJ
cana-4889	181	31	'	'	PUNCT
cana-4889	181	32	.	.	PUNCT
cana-4889	182	1	figure	figure	NOUN
cana-4889	182	2	2	2	NUM
cana-4889	182	3	:	:	PUNCT
cana-4889	182	4	ess	ess	NOUN
cana-4889	182	5	encryption	encryption	NOUN
cana-4889	182	6	for	for	ADP
cana-4889	182	7	single	single	ADJ
cana-4889	182	8	owner	owner	NOUN
cana-4889	182	9	cloud	cloud	PROPN
cana-4889	182	10	data	data	VERB
cana-4889	182	11	the	the	DET
cana-4889	182	12	pseudo	pseudo	NOUN
cana-4889	182	13	-	-	NOUN
cana-4889	182	14	code	code	NOUN
cana-4889	182	15	of	of	ADP
cana-4889	182	16	ess	ess	NOUN
cana-4889	182	17	encryption	encryption	NOUN
cana-4889	182	18	for	for	ADP
cana-4889	182	19	single	single	ADJ
cana-4889	182	20	owner	owner	NOUN
cana-4889	182	21	cloud	cloud	NOUN
cana-4889	182	22	data	datum	NOUN
cana-4889	182	23	is	be	AUX
cana-4889	182	24	given	give	VERB
cana-4889	182	25	in	in	ADP
cana-4889	182	26	algorithm	algorithm	NOUN
cana-4889	182	27	3	3	NUM
cana-4889	182	28	(	(	PUNCT
cana-4889	182	29	a	a	NOUN
cana-4889	182	30	)	)	PUNCT
cana-4889	182	31	,	,	PUNCT
cana-4889	182	32	(	(	PUNCT
cana-4889	182	33	b	b	X
cana-4889	182	34	)	)	PUNCT
cana-4889	182	35	,	,	PUNCT
cana-4889	182	36	as	as	SCONJ
cana-4889	182	37	follows	follow	VERB
cana-4889	182	38	:	:	PUNCT
cana-4889	182	39	algorithm	algorithm	NOUN
cana-4889	182	40	3	3	NUM
cana-4889	182	41	(	(	PUNCT
cana-4889	182	42	a	a	X
cana-4889	182	43	):	):	PUNCT
cana-4889	182	44	ess	ess	NOUN
cana-4889	182	45	encryption	encryption	NOUN
cana-4889	182	46	{	{	PUNCT
cana-4889	182	47	n	n	X
cana-4889	182	48	,	,	PUNCT
cana-4889	182	49	x	x	NOUN
cana-4889	182	50	}	}	PUNCT
cana-4889	182	51	as	as	ADP
cana-4889	182	52	public	public	ADJ
cana-4889	182	53	key	key	ADJ
cana-4889	182	54	ess_encrypt_x	ess_encrypt_x	PROPN
cana-4889	182	55	(	(	PUNCT
cana-4889	182	56	)	)	PUNCT
cana-4889	182	57	input	input	NOUN
cana-4889	182	58	:	:	PUNCT
cana-4889	182	59	plaintext	plaintext	NOUN
cana-4889	182	60	message	message	NOUN
cana-4889	182	61	m	m	PROPN
cana-4889	182	62	,	,	PUNCT
cana-4889	182	63	where	where	SCONJ
cana-4889	182	64	m	m	VERB
cana-4889	182	65	<	<	X
cana-4889	182	66	n.	n.	PROPN
cana-4889	182	67	output	output	NOUN
cana-4889	182	68	:	:	PUNCT
cana-4889	182	69	ciphertext	ciphertext	NOUN
cana-4889	182	70	message	message	NOUN
cana-4889	182	71	,	,	PUNCT
cana-4889	182	72	c	c	PROPN
cana-4889	182	73	communications	communication	NOUN
cana-4889	182	74	on	on	ADP
cana-4889	182	75	applied	apply	VERB
cana-4889	182	76	nonlinear	nonlinear	ADJ
cana-4889	182	77	analysis	analysis	NOUN
cana-4889	182	78	issn	issn	NOUN
cana-4889	182	79	:	:	PUNCT
cana-4889	182	80	1074	1074	NUM
cana-4889	182	81	-	-	PUNCT
cana-4889	182	82	133x	133x	NUM
cana-4889	182	83	vol	vol	NOUN
cana-4889	182	84	32	32	NUM
cana-4889	182	85	no	no	NOUN
cana-4889	182	86	.	.	NOUN
cana-4889	182	87	1	1	NUM
cana-4889	182	88	(	(	PUNCT
cana-4889	182	89	2025	2025	NUM
cana-4889	182	90	)	)	PUNCT
cana-4889	182	91	425	425	NUM
cana-4889	182	92	https://internationalpubls.com	https://internationalpubls.com	X
cana-4889	182	93	procedure	procedure	NOUN
cana-4889	182	94	:	:	PUNCT
cana-4889	182	95	so	so	SCONJ
cana-4889	182	96	encrypts	encrypt	VERB
cana-4889	182	97	the	the	DET
cana-4889	182	98	message	message	NOUN
cana-4889	182	99	using	use	VERB
cana-4889	182	100	public	public	ADJ
cana-4889	182	101	key	key	ADJ
cana-4889	182	102	n	n	CCONJ
cana-4889	182	103	,	,	PUNCT
cana-4889	182	104	x	x	PUNCT
cana-4889	182	105	to	to	PART
cana-4889	182	106	obtain	obtain	VERB
cana-4889	182	107	the	the	DET
cana-4889	182	108	ciphertext	ciphertext	NOUN
cana-4889	182	109	c	c	NOUN
cana-4889	182	110	and	and	CCONJ
cana-4889	182	111	transfers	transfer	VERB
cana-4889	182	112	message	message	NOUN
cana-4889	182	113	'	'	NOUN
cana-4889	182	114	c	c	NOUN
cana-4889	182	115	'	'	PUNCT
cana-4889	182	116	to	to	PART
cana-4889	182	117	cloud	cloud	VERB
cana-4889	182	118	service	service	NOUN
cana-4889	182	119	provider	provider	NOUN
cana-4889	182	120	(	(	PUNCT
cana-4889	182	121	csp	csp	PROPN
cana-4889	182	122	)	)	PUNCT
cana-4889	182	123	to	to	PART
cana-4889	182	124	store	store	VERB
cana-4889	182	125	.	.	PUNCT
cana-4889	183	1	ciphertext	ciphertext	PROPN
cana-4889	183	2	c	c	PROPN
cana-4889	184	1	=	=	SYM
cana-4889	184	2	mn	mn	PROPN
cana-4889	184	3	mod	mod	PROPN
cana-4889	184	4	x	x	PROPN
cana-4889	184	5	algorithm	algorithm	PROPN
cana-4889	184	6	3	3	NUM
cana-4889	184	7	(	(	PUNCT
cana-4889	184	8	b	b	NOUN
cana-4889	184	9	):	):	PUNCT
cana-4889	184	10	ess	ess	PROPN
cana-4889	184	11	encryption	encryption	NOUN
cana-4889	184	12	{	{	PUNCT
cana-4889	184	13	n	n	X
cana-4889	184	14	,	,	PUNCT
cana-4889	184	15	y	y	NOUN
cana-4889	184	16	}	}	PUNCT
cana-4889	184	17	as	as	ADP
cana-4889	184	18	public	public	ADJ
cana-4889	184	19	key	key	NOUN
cana-4889	184	20	ess_encrypt_y	ess_encrypt_y	PROPN
cana-4889	184	21	(	(	PUNCT
cana-4889	184	22	)	)	PUNCT
cana-4889	184	23	input	input	NOUN
cana-4889	184	24	:	:	PUNCT
cana-4889	184	25	plaintext	plaintext	NOUN
cana-4889	184	26	message	message	NOUN
cana-4889	184	27	m	m	PROPN
cana-4889	184	28	,	,	PUNCT
cana-4889	184	29	where	where	SCONJ
cana-4889	184	30	m	m	VERB
cana-4889	184	31	<	<	X
cana-4889	184	32	n.	n.	PROPN
cana-4889	184	33	output	output	NOUN
cana-4889	184	34	:	:	PUNCT
cana-4889	184	35	ciphertext	ciphertext	NOUN
cana-4889	184	36	message	message	NOUN
cana-4889	184	37	,	,	PUNCT
cana-4889	184	38	c	c	NOUN
cana-4889	184	39	procedure	procedure	NOUN
cana-4889	184	40	:	:	PUNCT
cana-4889	184	41	so	so	SCONJ
cana-4889	184	42	encrypts	encrypt	VERB
cana-4889	184	43	the	the	DET
cana-4889	184	44	message	message	NOUN
cana-4889	184	45	using	use	VERB
cana-4889	184	46	public	public	ADJ
cana-4889	184	47	key	key	ADJ
cana-4889	184	48	n	n	CCONJ
cana-4889	184	49	,	,	PUNCT
cana-4889	184	50	y	y	PROPN
cana-4889	184	51	to	to	PART
cana-4889	184	52	obtain	obtain	VERB
cana-4889	184	53	the	the	DET
cana-4889	184	54	ciphertext	ciphertext	NOUN
cana-4889	184	55	c	c	NOUN
cana-4889	184	56	and	and	CCONJ
cana-4889	184	57	transfers	transfer	VERB
cana-4889	184	58	message	message	NOUN
cana-4889	184	59	'	'	NOUN
cana-4889	184	60	c	c	NOUN
cana-4889	184	61	'	'	PUNCT
cana-4889	184	62	to	to	PART
cana-4889	184	63	cloud	cloud	VERB
cana-4889	184	64	service	service	NOUN
cana-4889	184	65	provider	provider	NOUN
cana-4889	184	66	(	(	PUNCT
cana-4889	184	67	csp	csp	PROPN
cana-4889	184	68	)	)	PUNCT
cana-4889	184	69	to	to	PART
cana-4889	184	70	store	store	VERB
cana-4889	184	71	.	.	PUNCT
cana-4889	185	1	ciphertext	ciphertext	PROPN
cana-4889	185	2	c	c	PROPN
cana-4889	186	1	=	=	SYM
cana-4889	186	2	mn	mn	PROPN
cana-4889	186	3	mod	mod	PROPN
cana-4889	186	4	y	y	PROPN
cana-4889	186	5	ess	ess	PROPN
cana-4889	186	6	decryption	decryption	NOUN
cana-4889	186	7	based	base	VERB
cana-4889	186	8	on	on	ADP
cana-4889	186	9	the	the	DET
cana-4889	186	10	methods	method	NOUN
cana-4889	186	11	ess_encrypt_x	ess_encrypt_x	PROPN
cana-4889	186	12	(	(	PUNCT
cana-4889	186	13	)	)	PUNCT
cana-4889	186	14	or	or	CCONJ
cana-4889	186	15	ess_encrypt_y	ess_encrypt_y	PROPN
cana-4889	186	16	(	(	PUNCT
cana-4889	186	17	)	)	PUNCT
cana-4889	186	18	used	use	VERB
cana-4889	186	19	as	as	SCONJ
cana-4889	186	20	ess	ess	NOUN
cana-4889	186	21	encryption	encryption	NOUN
cana-4889	186	22	process	process	NOUN
cana-4889	186	23	,	,	PUNCT
cana-4889	186	24	either	either	CCONJ
cana-4889	186	25	ess_decrypt_x	ess_decrypt_x	PROPN
cana-4889	186	26	(	(	PUNCT
cana-4889	186	27	)	)	PUNCT
cana-4889	186	28	or	or	CCONJ
cana-4889	186	29	ess_decrypt_y	ess_decrypt_y	ADJ
cana-4889	186	30	(	(	PUNCT
cana-4889	186	31	)	)	PUNCT
cana-4889	186	32	method	method	NOUN
cana-4889	186	33	will	will	AUX
cana-4889	186	34	be	be	AUX
cana-4889	186	35	selected	select	VERB
cana-4889	186	36	to	to	PART
cana-4889	186	37	perform	perform	VERB
cana-4889	186	38	decryption	decryption	NOUN
cana-4889	186	39	of	of	ADP
cana-4889	186	40	the	the	DET
cana-4889	186	41	cloud	cloud	ADJ
cana-4889	186	42	single	single	ADJ
cana-4889	186	43	owner	owner	NOUN
cana-4889	186	44	data	data	PROPN
cana-4889	186	45	.	.	PUNCT
cana-4889	187	1	figure	figure	NOUN
cana-4889	187	2	3	3	NUM
cana-4889	187	3	provides	provide	VERB
cana-4889	187	4	the	the	DET
cana-4889	187	5	flow	flow	NOUN
cana-4889	187	6	diagram	diagram	NOUN
cana-4889	187	7	of	of	ADP
cana-4889	187	8	ess	ess	PROPN
cana-4889	187	9	decryption	decryption	NOUN
cana-4889	187	10	for	for	ADP
cana-4889	187	11	single	single	ADJ
cana-4889	187	12	owner	owner	NOUN
cana-4889	187	13	cloud	cloud	PROPN
cana-4889	187	14	data	data	PROPN
cana-4889	187	15	.	.	PUNCT
cana-4889	188	1	figure	figure	VERB
cana-4889	188	2	3	3	NUM
cana-4889	188	3	:	:	PUNCT
cana-4889	188	4	ess	ess	NOUN
cana-4889	188	5	decryption	decryption	NOUN
cana-4889	188	6	for	for	ADP
cana-4889	188	7	single	single	ADJ
cana-4889	188	8	owner	owner	NOUN
cana-4889	188	9	cloud	cloud	PROPN
cana-4889	188	10	data	datum	NOUN
cana-4889	188	11	if	if	SCONJ
cana-4889	188	12	the	the	DET
cana-4889	188	13	public	public	ADJ
cana-4889	188	14	key	key	NOUN
cana-4889	188	15	{	{	PUNCT
cana-4889	188	16	n	n	X
cana-4889	188	17	,	,	PUNCT
cana-4889	188	18	x	x	PRON
cana-4889	188	19	}	}	PUNCT
cana-4889	188	20	is	be	AUX
cana-4889	188	21	used	use	VERB
cana-4889	188	22	for	for	ADP
cana-4889	188	23	ess	ess	NOUN
cana-4889	188	24	encryption	encryption	NOUN
cana-4889	188	25	,	,	PUNCT
cana-4889	188	26	then	then	ADV
cana-4889	188	27	ess_decrypt_x	ess_decrypt_x	PROPN
cana-4889	188	28	(	(	PUNCT
cana-4889	188	29	)	)	PUNCT
cana-4889	188	30	method	method	NOUN
cana-4889	188	31	needs	need	VERB
cana-4889	188	32	to	to	PART
cana-4889	188	33	be	be	AUX
cana-4889	188	34	considered	consider	VERB
cana-4889	188	35	for	for	ADP
cana-4889	188	36	enhanced	enhanced	ADJ
cana-4889	188	37	schmidt	schmidt	PROPN
cana-4889	188	38	samoa	samoa	PROPN
cana-4889	188	39	decryption	decryption	NOUN
cana-4889	188	40	.	.	PUNCT
cana-4889	189	1	in	in	ADP
cana-4889	189	2	ess_encrypt_x	ess_encrypt_x	PROPN
cana-4889	189	3	(	(	PUNCT
cana-4889	189	4	)	)	PUNCT
cana-4889	189	5	method	method	NOUN
cana-4889	189	6	,	,	PUNCT
cana-4889	189	7	ciphertext	ciphertext	NOUN
cana-4889	189	8	'	'	PUNCT
cana-4889	189	9	c	c	X
cana-4889	189	10	'	'	PUNCT
cana-4889	189	11	,	,	PUNCT
cana-4889	189	12	public	public	ADJ
cana-4889	189	13	key	key	NOUN
cana-4889	189	14	{	{	PUNCT
cana-4889	189	15	n	n	X
cana-4889	189	16	,	,	PUNCT
cana-4889	189	17	x},private	x},private	PROPN
cana-4889	189	18	key	key	PROPN
cana-4889	189	19	{	{	PUNCT
cana-4889	189	20	d	d	NOUN
cana-4889	189	21	}	}	PUNCT
cana-4889	189	22	are	be	AUX
cana-4889	189	23	considered	consider	VERB
cana-4889	189	24	as	as	ADP
cana-4889	189	25	inputs	input	NOUN
cana-4889	189	26	.	.	PUNCT
cana-4889	190	1	then	then	ADV
cana-4889	190	2	plaintext	plaintext	VERB
cana-4889	190	3	'	'	PUNCT
cana-4889	190	4	m	m	VERB
cana-4889	190	5	'	'	PUNCT
cana-4889	190	6	is	be	AUX
cana-4889	190	7	computed	compute	VERB
cana-4889	190	8	as	as	ADP
cana-4889	190	9	ciphertext	ciphertext	NOUN
cana-4889	190	10	'	'	PUNCT
cana-4889	190	11	c	c	NOUN
cana-4889	190	12	'	'	PUNCT
cana-4889	190	13	to	to	ADP
cana-4889	190	14	the	the	DET
cana-4889	190	15	power	power	NOUN
cana-4889	190	16	of	of	ADP
cana-4889	190	17	the	the	DET
cana-4889	190	18	private	private	ADJ
cana-4889	190	19	key	key	NOUN
cana-4889	190	20	{	{	PUNCT
cana-4889	190	21	d	d	NOUN
cana-4889	190	22	}	}	PUNCT
cana-4889	190	23	over	over	ADP
cana-4889	190	24	modulus	modulus	NOUN
cana-4889	190	25	to	to	ADP
cana-4889	190	26	public	public	ADJ
cana-4889	190	27	key	key	ADJ
cana-4889	190	28	'	'	PUNCT
cana-4889	190	29	x	x	NOUN
cana-4889	190	30	'	'	NOUN
cana-4889	190	31	.	.	PUNCT
cana-4889	191	1	else	else	ADV
cana-4889	191	2	if	if	SCONJ
cana-4889	191	3	the	the	DET
cana-4889	191	4	public	public	ADJ
cana-4889	191	5	key	key	NOUN
cana-4889	191	6	{	{	PUNCT
cana-4889	191	7	n	n	X
cana-4889	191	8	,	,	PUNCT
cana-4889	191	9	y	y	NOUN
cana-4889	191	10	}	}	PUNCT
cana-4889	191	11	is	be	AUX
cana-4889	191	12	used	use	VERB
cana-4889	191	13	for	for	ADP
cana-4889	191	14	ess	ess	NOUN
cana-4889	191	15	encryption	encryption	NOUN
cana-4889	191	16	then	then	ADV
cana-4889	191	17	s_decrypt_y	s_decrypt_y	ADV
cana-4889	191	18	(	(	PUNCT
cana-4889	191	19	)	)	PUNCT
cana-4889	191	20	method	method	NOUN
cana-4889	191	21	needs	need	VERB
cana-4889	191	22	to	to	PART
cana-4889	191	23	be	be	AUX
cana-4889	191	24	considered	consider	VERB
cana-4889	191	25	for	for	ADP
cana-4889	191	26	enhanced	enhanced	ADJ
cana-4889	191	27	schmidt	schmidt	PROPN
cana-4889	191	28	samoa	samoa	PROPN
cana-4889	191	29	decryption	decryption	NOUN
cana-4889	191	30	.	.	PUNCT
cana-4889	192	1	in	in	ADP
cana-4889	192	2	ss_encrypt_y	ss_encrypt_y	PROPN
cana-4889	192	3	(	(	PUNCT
cana-4889	192	4	)	)	PUNCT
cana-4889	192	5	method	method	NOUN
cana-4889	192	6	,	,	PUNCT
cana-4889	192	7	ciphertext	ciphertext	NOUN
cana-4889	192	8	'	'	PUNCT
cana-4889	192	9	c	c	X
cana-4889	192	10	'	'	PUNCT
cana-4889	192	11	,	,	PUNCT
cana-4889	192	12	public	public	ADJ
cana-4889	192	13	key	key	NOUN
cana-4889	192	14	{	{	PUNCT
cana-4889	192	15	n	n	X
cana-4889	192	16	,	,	PUNCT
cana-4889	192	17	x	x	NOUN
cana-4889	192	18	}	}	PUNCT
cana-4889	192	19	,	,	PUNCT
cana-4889	192	20	private	private	ADJ
cana-4889	192	21	key	key	ADJ
cana-4889	192	22	{	{	PUNCT
cana-4889	192	23	d	d	AUX
cana-4889	192	24	}	}	PUNCT
cana-4889	192	25	are	be	AUX
cana-4889	192	26	considered	consider	VERB
cana-4889	192	27	as	as	ADP
cana-4889	192	28	inputs	input	NOUN
cana-4889	192	29	.	.	PUNCT
cana-4889	193	1	then	then	ADV
cana-4889	193	2	plaintext	plaintext	VERB
cana-4889	193	3	'	'	PUNCT
cana-4889	193	4	m	m	VERB
cana-4889	193	5	'	'	PUNCT
cana-4889	193	6	is	be	AUX
cana-4889	193	7	computed	compute	VERB
cana-4889	193	8	as	as	ADP
cana-4889	193	9	ciphertext	ciphertext	NOUN
cana-4889	193	10	'	'	PUNCT
cana-4889	193	11	c	c	NOUN
cana-4889	193	12	'	'	PUNCT
cana-4889	193	13	to	to	ADP
cana-4889	193	14	the	the	DET
cana-4889	193	15	power	power	NOUN
cana-4889	193	16	of	of	ADP
cana-4889	193	17	the	the	DET
cana-4889	193	18	private	private	ADJ
cana-4889	193	19	key	key	NOUN
cana-4889	193	20	{	{	PUNCT
cana-4889	193	21	d	d	NOUN
cana-4889	193	22	}	}	PUNCT
cana-4889	193	23	over	over	ADP
cana-4889	193	24	modulus	modulus	NOUN
cana-4889	193	25	to	to	ADP
cana-4889	193	26	public	public	ADJ
cana-4889	193	27	key	key	ADJ
cana-4889	193	28	'	'	PUNCT
cana-4889	193	29	y	y	NOUN
cana-4889	193	30	'	'	PUNCT
cana-4889	193	31	.	.	PUNCT
cana-4889	194	1	the	the	DET
cana-4889	194	2	pseudo	pseudo	NOUN
cana-4889	194	3	-	-	NOUN
cana-4889	194	4	code	code	NOUN
cana-4889	194	5	of	of	ADP
cana-4889	194	6	ess	ess	PROPN
cana-4889	194	7	decryption	decryption	NOUN
cana-4889	194	8	for	for	ADP
cana-4889	194	9	single	single	ADJ
cana-4889	194	10	owner	owner	NOUN
cana-4889	194	11	cloud	cloud	NOUN
cana-4889	194	12	data	datum	NOUN
cana-4889	194	13	is	be	AUX
cana-4889	194	14	given	give	VERB
cana-4889	194	15	in	in	ADP
cana-4889	194	16	algorithm	algorithm	NOUN
cana-4889	194	17	4	4	NUM
cana-4889	194	18	(	(	PUNCT
cana-4889	194	19	a	a	NOUN
cana-4889	194	20	)	)	PUNCT
cana-4889	194	21	and	and	CCONJ
cana-4889	194	22	(	(	PUNCT
cana-4889	194	23	b	b	NOUN
cana-4889	194	24	)	)	PUNCT
cana-4889	194	25	,	,	PUNCT
cana-4889	194	26	as	as	SCONJ
cana-4889	194	27	follows	follow	VERB
cana-4889	194	28	:	:	PUNCT
cana-4889	194	29	communications	communication	NOUN
cana-4889	194	30	on	on	ADP
cana-4889	194	31	applied	apply	VERB
cana-4889	194	32	nonlinear	nonlinear	ADJ
cana-4889	194	33	analysis	analysis	NOUN
cana-4889	194	34	issn	issn	NOUN
cana-4889	194	35	:	:	PUNCT
cana-4889	194	36	1074	1074	NUM
cana-4889	194	37	-	-	PUNCT
cana-4889	194	38	133x	133x	NUM
cana-4889	194	39	vol	vol	NOUN
cana-4889	194	40	32	32	NUM
cana-4889	194	41	no	no	NOUN
cana-4889	194	42	.	.	NOUN
cana-4889	194	43	1	1	NUM
cana-4889	194	44	(	(	PUNCT
cana-4889	194	45	2025	2025	NUM
cana-4889	194	46	)	)	PUNCT
cana-4889	194	47	426	426	NUM
cana-4889	194	48	https://internationalpubls.com	https://internationalpubls.com	X
cana-4889	194	49	algorithm	algorithm	NOUN
cana-4889	194	50	4	4	NUM
cana-4889	194	51	(	(	PUNCT
cana-4889	194	52	a	a	X
cana-4889	194	53	):	):	PUNCT
cana-4889	194	54	ess	ess	NOUN
cana-4889	194	55	decryption	decryption	NOUN
cana-4889	194	56	{	{	PUNCT
cana-4889	194	57	n	n	CCONJ
cana-4889	194	58	,	,	PUNCT
cana-4889	194	59	x	x	NOUN
cana-4889	194	60	}	}	PUNCT
cana-4889	194	61	as	as	ADP
cana-4889	194	62	public	public	ADJ
cana-4889	194	63	key	key	ADJ
cana-4889	194	64	ess_decrypt_x	ess_decrypt_x	PROPN
cana-4889	194	65	(	(	PUNCT
cana-4889	194	66	)	)	PUNCT
cana-4889	194	67	input	input	NOUN
cana-4889	194	68	:	:	PUNCT
cana-4889	194	69	ciphertext	ciphertext	NOUN
cana-4889	194	70	message	message	NOUN
cana-4889	194	71	,	,	PUNCT
cana-4889	194	72	c	c	PROPN
cana-4889	194	73	output	output	NOUN
cana-4889	194	74	:	:	PUNCT
cana-4889	194	75	decrypted	decrypt	VERB
cana-4889	194	76	plaintext	plaintext	NOUN
cana-4889	194	77	message	message	NOUN
cana-4889	194	78	m.	m.	NOUN
cana-4889	194	79	procedure	procedure	NOUN
cana-4889	194	80	:	:	PUNCT
cana-4889	194	81	so	so	ADV
cana-4889	194	82	downloads	download	VERB
cana-4889	194	83	ciphertext	ciphertext	NOUN
cana-4889	194	84	message	message	NOUN
cana-4889	194	85	,	,	PUNCT
cana-4889	194	86	c	c	PROPN
cana-4889	194	87	from	from	ADP
cana-4889	194	88	csp	csp	PROPN
cana-4889	194	89	premises	premise	NOUN
cana-4889	194	90	.	.	PUNCT
cana-4889	195	1	then	then	ADV
cana-4889	195	2	,	,	PUNCT
cana-4889	195	3	so	so	SCONJ
cana-4889	195	4	decrypts	decrypt	VERB
cana-4889	195	5	the	the	DET
cana-4889	195	6	message	message	NOUN
cana-4889	195	7	,	,	PUNCT
cana-4889	195	8	c	c	NOUN
cana-4889	195	9	using	use	VERB
cana-4889	195	10	private	private	ADJ
cana-4889	195	11	key	key	ADJ
cana-4889	195	12	d	d	NOUN
cana-4889	195	13	and	and	CCONJ
cana-4889	195	14	modulus	modulus	NOUN
cana-4889	195	15	of	of	ADP
cana-4889	195	16	x	x	PART
cana-4889	195	17	to	to	PART
cana-4889	195	18	obtain	obtain	VERB
cana-4889	195	19	the	the	DET
cana-4889	195	20	plaintext	plaintext	NOUN
cana-4889	195	21	m.	m.	NOUN
cana-4889	195	22	plaintext	plaintext	NOUN
cana-4889	195	23	m	m	NOUN
cana-4889	195	24	=	=	PROPN
cana-4889	195	25	cd	cd	PROPN
cana-4889	195	26	mod	mod	PROPN
cana-4889	195	27	x.	x.	PROPN
cana-4889	195	28	algorithm	algorithm	PROPN
cana-4889	195	29	4	4	NUM
cana-4889	195	30	(	(	PUNCT
cana-4889	195	31	b	b	NOUN
cana-4889	195	32	):	):	PUNCT
cana-4889	195	33	ess	ess	PROPN
cana-4889	195	34	decryption	decryption	NOUN
cana-4889	195	35	{	{	PUNCT
cana-4889	195	36	n	n	X
cana-4889	195	37	,	,	PUNCT
cana-4889	195	38	y	y	NOUN
cana-4889	195	39	}	}	PUNCT
cana-4889	195	40	as	as	ADP
cana-4889	195	41	public	public	ADJ
cana-4889	195	42	key	key	NOUN
cana-4889	195	43	ess_decrypt_y	ess_decrypt_y	ADV
cana-4889	195	44	(	(	PUNCT
cana-4889	195	45	)	)	PUNCT
cana-4889	195	46	input	input	NOUN
cana-4889	195	47	:	:	PUNCT
cana-4889	195	48	ciphertext	ciphertext	NOUN
cana-4889	195	49	message	message	NOUN
cana-4889	195	50	,	,	PUNCT
cana-4889	195	51	c	c	PROPN
cana-4889	195	52	output	output	NOUN
cana-4889	195	53	:	:	PUNCT
cana-4889	195	54	decrypted	decrypt	VERB
cana-4889	195	55	plaintext	plaintext	NOUN
cana-4889	195	56	message	message	NOUN
cana-4889	195	57	m.	m.	NOUN
cana-4889	195	58	procedure	procedure	NOUN
cana-4889	195	59	:	:	PUNCT
cana-4889	195	60	so	so	ADV
cana-4889	195	61	downloads	download	VERB
cana-4889	195	62	the	the	DET
cana-4889	195	63	ciphertext	ciphertext	ADJ
cana-4889	195	64	message	message	NOUN
cana-4889	195	65	,	,	PUNCT
cana-4889	195	66	c	c	PROPN
cana-4889	195	67	from	from	ADP
cana-4889	195	68	csp	csp	PROPN
cana-4889	195	69	premises	premise	NOUN
cana-4889	195	70	.	.	PUNCT
cana-4889	196	1	then	then	ADV
cana-4889	196	2	,	,	PUNCT
cana-4889	196	3	so	so	SCONJ
cana-4889	196	4	decrypts	decrypts	ADJ
cana-4889	196	5	message	message	NOUN
cana-4889	196	6	,	,	PUNCT
cana-4889	196	7	c	c	NOUN
cana-4889	196	8	using	use	VERB
cana-4889	196	9	private	private	ADJ
cana-4889	196	10	key	key	ADJ
cana-4889	196	11	d	d	NOUN
cana-4889	196	12	and	and	CCONJ
cana-4889	196	13	modulus	modulus	NOUN
cana-4889	196	14	of	of	ADP
cana-4889	196	15	y	y	PRON
cana-4889	196	16	to	to	PART
cana-4889	196	17	obtain	obtain	VERB
cana-4889	196	18	the	the	DET
cana-4889	196	19	plaintext	plaintext	NOUN
cana-4889	196	20	m.	m.	NOUN
cana-4889	196	21	plaintext	plaintext	NOUN
cana-4889	196	22	m	m	NOUN
cana-4889	196	23	=	=	PROPN
cana-4889	196	24	cd	cd	PROPN
cana-4889	196	25	mod	mod	PROPN
cana-4889	196	26	y.	y.	PROPN
cana-4889	196	27	illustration	illustration	NOUN
cana-4889	196	28	of	of	ADP
cana-4889	196	29	essc	essc	NOUN
cana-4889	196	30	let	let	VERB
cana-4889	196	31	us	we	PRON
cana-4889	196	32	discuss	discuss	VERB
cana-4889	196	33	an	an	DET
cana-4889	196	34	example	example	NOUN
cana-4889	196	35	for	for	ADP
cana-4889	196	36	enhanced	enhanced	ADJ
cana-4889	196	37	schmidt	schmidt	PROPN
cana-4889	196	38	samoa	samoa	PROPN
cana-4889	196	39	cryptosystem	cryptosystem	NOUN
cana-4889	196	40	for	for	ADP
cana-4889	196	41	single	single	ADJ
cana-4889	196	42	owner	owner	NOUN
cana-4889	196	43	cloud	cloud	PROPN
cana-4889	196	44	data	data	PROPN
cana-4889	196	45	.	.	PUNCT
cana-4889	197	1	the	the	DET
cana-4889	197	2	following	follow	VERB
cana-4889	197	3	example	example	NOUN
cana-4889	197	4	describes	describe	VERB
cana-4889	197	5	the	the	DET
cana-4889	197	6	case	case	NOUN
cana-4889	197	7	of	of	ADP
cana-4889	197	8	public	public	ADJ
cana-4889	197	9	key	key	NOUN
cana-4889	197	10	{	{	PUNCT
cana-4889	197	11	n	n	X
cana-4889	197	12	,	,	PUNCT
cana-4889	197	13	x	x	NOUN
cana-4889	197	14	}	}	PUNCT
cana-4889	197	15	:	:	PUNCT
cana-4889	197	16	ess	ess	PROPN
cana-4889	197	17	key	key	ADJ
cana-4889	197	18	generation	generation	NOUN
cana-4889	197	19	generate	generate	VERB
cana-4889	197	20	four	four	NUM
cana-4889	197	21	large	large	ADJ
cana-4889	197	22	prime	prime	ADJ
cana-4889	197	23	numbers	number	NOUN
cana-4889	197	24	,	,	PUNCT
cana-4889	197	25	p=13	p=13	PROPN
cana-4889	197	26	,	,	PUNCT
cana-4889	197	27	q=19	q=19	VERB
cana-4889	197	28	,	,	PUNCT
cana-4889	197	29	r=23	r=23	NOUN
cana-4889	197	30	,	,	PUNCT
cana-4889	197	31	and	and	CCONJ
cana-4889	197	32	s=37	s=37	PROPN
cana-4889	197	33	.	.	PUNCT
cana-4889	198	1	(	(	PUNCT
cana-4889	198	2	small	small	ADJ
cana-4889	198	3	prime	prime	ADJ
cana-4889	198	4	numbers	number	NOUN
cana-4889	198	5	are	be	AUX
cana-4889	198	6	taken	take	VERB
cana-4889	198	7	for	for	ADP
cana-4889	198	8	simplicity	simplicity	NOUN
cana-4889	198	9	)	)	PUNCT
cana-4889	198	10	compute	compute	NOUN
cana-4889	198	11	l	l	NOUN
cana-4889	198	12	=	=	SYM
cana-4889	198	13	lcm((p-1	lcm((p-1	PROPN
cana-4889	198	14	)	)	PUNCT
cana-4889	198	15	,	,	PUNCT
cana-4889	198	16	(	(	PUNCT
cana-4889	198	17	q-1	q-1	NUM
cana-4889	198	18	)	)	PUNCT
cana-4889	198	19	)	)	PUNCT
cana-4889	199	1	=	=	NOUN
cana-4889	199	2	lcm	lcm	NOUN
cana-4889	199	3	(	(	PUNCT
cana-4889	199	4	12,18	12,18	NUM
cana-4889	199	5	)	)	PUNCT
cana-4889	199	6	=	=	SYM
cana-4889	200	1	36	36	NUM
cana-4889	200	2	compute	compute	NOUN
cana-4889	200	3	m	m	NOUN
cana-4889	200	4	=	=	SYM
cana-4889	200	5	lcm((r-1	lcm((r-1	PROPN
cana-4889	200	6	)	)	PUNCT
cana-4889	200	7	,	,	PUNCT
cana-4889	200	8	(	(	PUNCT
cana-4889	200	9	s-1	s-1	NOUN
cana-4889	200	10	)	)	PUNCT
cana-4889	200	11	)	)	PUNCT
cana-4889	201	1	=	=	NOUN
cana-4889	201	2	lcm	lcm	NOUN
cana-4889	201	3	(	(	PUNCT
cana-4889	201	4	22	22	NUM
cana-4889	201	5	,	,	PUNCT
cana-4889	201	6	36	36	NUM
cana-4889	201	7	)	)	PUNCT
cana-4889	201	8	=	=	SYM
cana-4889	201	9	396	396	NUM
cana-4889	201	10	calculate	calculate	NOUN
cana-4889	201	11	x	x	X
cana-4889	201	12	=	=	PUNCT
cana-4889	202	1	p	p	X
cana-4889	202	2	*	*	PUNCT
cana-4889	202	3	q	q	PUNCT
cana-4889	202	4	=	=	SYM
cana-4889	202	5	13	13	NUM
cana-4889	202	6	*	*	SYM
cana-4889	202	7	19	19	NUM
cana-4889	202	8	=	=	SYM
cana-4889	202	9	247	247	NUM
cana-4889	202	10	calculate	calculate	NOUN
cana-4889	203	1	y	y	NOUN
cana-4889	203	2	=	=	SYM
cana-4889	203	3	r	r	NOUN
cana-4889	203	4	*	*	PUNCT
cana-4889	203	5	s	s	NOUN
cana-4889	203	6	=	=	SYM
cana-4889	203	7	23	23	NUM
cana-4889	203	8	*	*	SYM
cana-4889	203	9	37	37	NUM
cana-4889	203	10	=	=	SYM
cana-4889	203	11	851	851	NUM
cana-4889	203	12	compute	compute	NOUN
cana-4889	203	13	gcd	gcd	NOUN
cana-4889	203	14	(	(	PUNCT
cana-4889	203	15	x	x	NOUN
cana-4889	203	16	,	,	PUNCT
cana-4889	203	17	l	l	NOUN
cana-4889	203	18	)	)	PUNCT
cana-4889	203	19	=	=	SYM
cana-4889	203	20	gcd(247	gcd(247	PROPN
cana-4889	203	21	,	,	PUNCT
cana-4889	203	22	36	36	NUM
cana-4889	203	23	)	)	PUNCT
cana-4889	203	24	=	=	SYM
cana-4889	204	1	1	1	X
cana-4889	204	2	.	.	NOUN
cana-4889	204	3	calculate	calculate	VERB
cana-4889	204	4	inverse	inverse	NOUN
cana-4889	204	5	x	x	NOUN
cana-4889	204	6	'	'	PUNCT
cana-4889	204	7	=	=	SYM
cana-4889	204	8	x-1	x-1	PROPN
cana-4889	204	9	mod	mod	PROPN
cana-4889	204	10	l	l	PROPN
cana-4889	204	11	=	=	SYM
cana-4889	204	12	247	247	NUM
cana-4889	204	13	-	-	SYM
cana-4889	204	14	1	1	NUM
cana-4889	204	15	mod	mod	NOUN
cana-4889	204	16	36	36	NUM
cana-4889	204	17	=	=	SYM
cana-4889	204	18	7	7	NUM
cana-4889	204	19	compute	compute	NOUN
cana-4889	204	20	gcd(y	gcd(y	PROPN
cana-4889	204	21	,	,	PUNCT
cana-4889	204	22	m	m	NOUN
cana-4889	204	23	)	)	PUNCT
cana-4889	204	24	=	=	SYM
cana-4889	204	25	gcd(851	gcd(851	PROPN
cana-4889	204	26	,	,	PUNCT
cana-4889	204	27	396	396	NUM
cana-4889	204	28	)	)	PUNCT
cana-4889	204	29	=	=	SYM
cana-4889	204	30	1	1	NUM
cana-4889	204	31	calculate	calculate	VERB
cana-4889	204	32	inverse	inverse	NOUN
cana-4889	204	33	y	y	NOUN
cana-4889	204	34	'	'	PUNCT
cana-4889	204	35	=	=	SYM
cana-4889	204	36	y-1	y-1	PROPN
cana-4889	204	37	mod	mod	PROPN
cana-4889	204	38	m	m	PROPN
cana-4889	204	39	=	=	SYM
cana-4889	204	40	851	851	NUM
cana-4889	204	41	-	-	SYM
cana-4889	204	42	1	1	NUM
cana-4889	204	43	mod	mod	NOUN
cana-4889	204	44	396	396	NUM
cana-4889	204	45	=	=	SYM
cana-4889	204	46	47	47	NUM
cana-4889	204	47	perform	perform	NOUN
cana-4889	204	48	multiplication	multiplication	NOUN
cana-4889	204	49	z	z	NOUN
cana-4889	204	50	=	=	PUNCT
cana-4889	205	1	x	x	X
cana-4889	205	2	'	'	NOUN
cana-4889	205	3	*	*	PUNCT
cana-4889	205	4	y	y	X
cana-4889	205	5	'	'	PUNCT
cana-4889	205	6	=	=	SYM
cana-4889	205	7	329	329	NUM
cana-4889	205	8	check	check	NOUN
cana-4889	205	9	gcd	gcd	NOUN
cana-4889	205	10	(	(	PUNCT
cana-4889	205	11	z	z	NOUN
cana-4889	205	12	,	,	PUNCT
cana-4889	205	13	l	l	NOUN
cana-4889	205	14	)	)	PUNCT
cana-4889	205	15	=	=	SYM
cana-4889	206	1	=	=	SYM
cana-4889	206	2	1	1	NUM
cana-4889	206	3	,	,	PUNCT
cana-4889	206	4	gcd(329	gcd(329	NOUN
cana-4889	206	5	,	,	PUNCT
cana-4889	206	6	36	36	NUM
cana-4889	206	7	)	)	PUNCT
cana-4889	206	8	=	=	SYM
cana-4889	206	9	1	1	NUM
cana-4889	206	10	so	so	ADV
cana-4889	206	11	,	,	PUNCT
cana-4889	206	12	calculate	calculate	VERB
cana-4889	206	13	communications	communication	NOUN
cana-4889	206	14	on	on	ADP
cana-4889	206	15	applied	apply	VERB
cana-4889	206	16	nonlinear	nonlinear	ADJ
cana-4889	206	17	analysis	analysis	NOUN
cana-4889	206	18	issn	issn	NOUN
cana-4889	206	19	:	:	PUNCT
cana-4889	206	20	1074	1074	NUM
cana-4889	206	21	-	-	PUNCT
cana-4889	206	22	133x	133x	NUM
cana-4889	206	23	vol	vol	NOUN
cana-4889	206	24	32	32	NUM
cana-4889	207	1	no	no	NOUN
cana-4889	207	2	.	.	NOUN
cana-4889	207	3	1	1	NUM
cana-4889	207	4	(	(	PUNCT
cana-4889	207	5	2025	2025	NUM
cana-4889	207	6	)	)	PUNCT
cana-4889	207	7	427	427	NUM
cana-4889	207	8	https://internationalpubls.com	https://internationalpubls.com	X
cana-4889	208	1	n	n	NOUN
cana-4889	208	2	=	=	SYM
cana-4889	208	3	z	z	NOUN
cana-4889	208	4	mod	mod	NOUN
cana-4889	208	5	l	l	PROPN
cana-4889	208	6	=	=	SYM
cana-4889	208	7	329	329	NUM
cana-4889	208	8	mod	mod	NOUN
cana-4889	208	9	36	36	NUM
cana-4889	208	10	=	=	SYM
cana-4889	208	11	5	5	NUM
cana-4889	208	12	d	d	NOUN
cana-4889	208	13	=	=	PUNCT
cana-4889	208	14	n-1	n-1	NOUN
cana-4889	208	15	mod	mod	PROPN
cana-4889	208	16	l	l	PROPN
cana-4889	208	17	=	=	SYM
cana-4889	208	18	5	5	NUM
cana-4889	208	19	-	-	SYM
cana-4889	208	20	1	1	NUM
cana-4889	208	21	mod	mod	NOUN
cana-4889	208	22	36	36	NUM
cana-4889	208	23	=	=	SYM
cana-4889	208	24	29	29	NUM
cana-4889	208	25	ess	ess	NOUN
cana-4889	208	26	encryption	encryption	NOUN
cana-4889	208	27	&	&	CCONJ
cana-4889	208	28	decryption	decryption	NOUN
cana-4889	208	29	let	let	VERB
cana-4889	208	30	us	we	PRON
cana-4889	208	31	assume	assume	VERB
cana-4889	208	32	plaintext	plaintext	NOUN
cana-4889	208	33	m	m	NOUN
cana-4889	208	34	=	=	NOUN
cana-4889	208	35	32	32	NUM
cana-4889	208	36	.	.	PUNCT
cana-4889	209	1	encryption	encryption	NOUN
cana-4889	209	2	,	,	PUNCT
cana-4889	209	3	ciphertext	ciphertext	NOUN
cana-4889	209	4	c	c	PROPN
cana-4889	209	5	=	=	SYM
cana-4889	209	6	mn	mn	PROPN
cana-4889	209	7	mod	mod	NOUN
cana-4889	210	1	x	x	X
cana-4889	210	2	c	c	NOUN
cana-4889	210	3	=	=	SYM
cana-4889	210	4	325	325	NUM
cana-4889	210	5	mod	mod	NOUN
cana-4889	210	6	247	247	NUM
cana-4889	210	7	=	=	SYM
cana-4889	210	8	223	223	NUM
cana-4889	210	9	decryption	decryption	NOUN
cana-4889	210	10	,	,	PUNCT
cana-4889	210	11	plaintext	plaintext	NOUN
cana-4889	210	12	m	m	NOUN
cana-4889	210	13	=	=	ADJ
cana-4889	210	14	cd	cd	PROPN
cana-4889	210	15	mod	mod	PROPN
cana-4889	210	16	x.	x.	PROPN
cana-4889	210	17	m	m	PROPN
cana-4889	210	18	=	=	SYM
cana-4889	210	19	22329	22329	NUM
cana-4889	210	20	mod	mod	NOUN
cana-4889	210	21	247	247	NUM
cana-4889	210	22	=	=	SYM
cana-4889	210	23	32	32	NUM
cana-4889	210	24	.	.	PUNCT
cana-4889	211	1	the	the	DET
cana-4889	211	2	following	follow	VERB
cana-4889	211	3	example	example	NOUN
cana-4889	211	4	describes	describe	VERB
cana-4889	211	5	the	the	DET
cana-4889	211	6	case	case	NOUN
cana-4889	211	7	of	of	ADP
cana-4889	211	8	public	public	ADJ
cana-4889	211	9	key	key	NOUN
cana-4889	211	10	{	{	PUNCT
cana-4889	211	11	n	n	X
cana-4889	211	12	,	,	PUNCT
cana-4889	211	13	y	y	PROPN
cana-4889	211	14	}	}	PUNCT
cana-4889	211	15	:	:	PUNCT
cana-4889	211	16	ess	ess	PROPN
cana-4889	211	17	key	key	ADJ
cana-4889	211	18	generation	generation	NOUN
cana-4889	211	19	generate	generate	VERB
cana-4889	211	20	four	four	NUM
cana-4889	211	21	large	large	ADJ
cana-4889	211	22	prime	prime	ADJ
cana-4889	211	23	numbers	number	NOUN
cana-4889	211	24	,	,	PUNCT
cana-4889	211	25	p=7	p=7	NOUN
cana-4889	211	26	,	,	PUNCT
cana-4889	211	27	q=11	q=11	ADV
cana-4889	211	28	,	,	PUNCT
cana-4889	211	29	r=13	r=13	PROPN
cana-4889	211	30	,	,	PUNCT
cana-4889	211	31	and	and	CCONJ
cana-4889	211	32	s=17	s=17	PROPN
cana-4889	211	33	.	.	PUNCT
cana-4889	212	1	(	(	PUNCT
cana-4889	212	2	small	small	ADJ
cana-4889	212	3	prime	prime	ADJ
cana-4889	212	4	numbers	number	NOUN
cana-4889	212	5	have	have	AUX
cana-4889	212	6	taken	take	VERB
cana-4889	212	7	to	to	PART
cana-4889	212	8	solve	solve	VERB
cana-4889	212	9	)	)	PUNCT
cana-4889	212	10	compute	compute	NOUN
cana-4889	212	11	l	l	NOUN
cana-4889	212	12	=	=	SYM
cana-4889	212	13	lcm((p-1	lcm((p-1	PROPN
cana-4889	212	14	)	)	PUNCT
cana-4889	212	15	,	,	PUNCT
cana-4889	212	16	(	(	PUNCT
cana-4889	212	17	q-1	q-1	NUM
cana-4889	212	18	)	)	PUNCT
cana-4889	212	19	)	)	PUNCT
cana-4889	213	1	=	=	NOUN
cana-4889	213	2	lcm	lcm	NOUN
cana-4889	213	3	(	(	PUNCT
cana-4889	213	4	6,10	6,10	NUM
cana-4889	213	5	)	)	PUNCT
cana-4889	213	6	=	=	SYM
cana-4889	213	7	30	30	NUM
cana-4889	213	8	compute	compute	NOUN
cana-4889	213	9	m	m	NOUN
cana-4889	213	10	=	=	SYM
cana-4889	213	11	lcm((r-1	lcm((r-1	PROPN
cana-4889	213	12	)	)	PUNCT
cana-4889	213	13	,	,	PUNCT
cana-4889	213	14	(	(	PUNCT
cana-4889	213	15	s-1	s-1	NOUN
cana-4889	213	16	)	)	PUNCT
cana-4889	213	17	)	)	PUNCT
cana-4889	214	1	=	=	NOUN
cana-4889	214	2	lcm	lcm	NOUN
cana-4889	214	3	(	(	PUNCT
cana-4889	214	4	12,16	12,16	NUM
cana-4889	214	5	)	)	PUNCT
cana-4889	214	6	=	=	SYM
cana-4889	214	7	48	48	NUM
cana-4889	214	8	calculate	calculate	NOUN
cana-4889	214	9	x	x	X
cana-4889	214	10	=	=	PUNCT
cana-4889	214	11	p	p	X
cana-4889	214	12	*	*	PUNCT
cana-4889	214	13	q	q	NOUN
cana-4889	214	14	=	=	SYM
cana-4889	214	15	7	7	NUM
cana-4889	214	16	*	*	SYM
cana-4889	214	17	11	11	NUM
cana-4889	214	18	=	=	SYM
cana-4889	214	19	77	77	NUM
cana-4889	214	20	y	y	NOUN
cana-4889	214	21	=	=	SYM
cana-4889	214	22	r	r	NOUN
cana-4889	214	23	*	*	PUNCT
cana-4889	214	24	s	s	NOUN
cana-4889	214	25	=	=	SYM
cana-4889	214	26	13	13	NUM
cana-4889	214	27	*	*	SYM
cana-4889	214	28	17	17	NUM
cana-4889	214	29	=	=	SYM
cana-4889	214	30	221	221	NUM
cana-4889	214	31	compute	compute	NOUN
cana-4889	214	32	gcd	gcd	NOUN
cana-4889	214	33	(	(	PUNCT
cana-4889	214	34	x	x	NOUN
cana-4889	214	35	,	,	PUNCT
cana-4889	214	36	l	l	NOUN
cana-4889	214	37	)	)	PUNCT
cana-4889	214	38	=	=	SYM
cana-4889	214	39	gcd(77,30	gcd(77,30	PROPN
cana-4889	214	40	)	)	PUNCT
cana-4889	214	41	=	=	SYM
cana-4889	215	1	1	1	X
cana-4889	215	2	.	.	NOUN
cana-4889	215	3	calculate	calculate	VERB
cana-4889	215	4	inverse	inverse	NOUN
cana-4889	215	5	x	x	NOUN
cana-4889	215	6	'	'	PUNCT
cana-4889	215	7	=	=	SYM
cana-4889	215	8	x-1	x-1	PROPN
cana-4889	215	9	mod	mod	PROPN
cana-4889	215	10	l	l	PROPN
cana-4889	216	1	=	=	SYM
cana-4889	216	2	77	77	NUM
cana-4889	216	3	-	-	SYM
cana-4889	216	4	1	1	NUM
cana-4889	216	5	mod	mod	NOUN
cana-4889	216	6	30	30	NUM
cana-4889	216	7	=	=	SYM
cana-4889	216	8	23	23	NUM
cana-4889	216	9	compute	compute	NOUN
cana-4889	216	10	gcd(y	gcd(y	PROPN
cana-4889	216	11	,	,	PUNCT
cana-4889	216	12	m	m	NOUN
cana-4889	216	13	)	)	PUNCT
cana-4889	216	14	=	=	SYM
cana-4889	216	15	gcd(221	gcd(221	PROPN
cana-4889	216	16	,	,	PUNCT
cana-4889	216	17	48	48	NUM
cana-4889	216	18	)	)	PUNCT
cana-4889	216	19	=	=	SYM
cana-4889	216	20	1	1	NUM
cana-4889	216	21	calculate	calculate	VERB
cana-4889	216	22	inverse	inverse	NOUN
cana-4889	216	23	y	y	NOUN
cana-4889	216	24	'	'	PUNCT
cana-4889	216	25	=	=	SYM
cana-4889	216	26	y-1	y-1	PROPN
cana-4889	216	27	mod	mod	PROPN
cana-4889	216	28	m	m	PROPN
cana-4889	216	29	=	=	NOUN
cana-4889	216	30	221	221	NUM
cana-4889	216	31	-	-	SYM
cana-4889	216	32	1	1	NUM
cana-4889	216	33	mod	mod	NOUN
cana-4889	216	34	48	48	NUM
cana-4889	216	35	=	=	SYM
cana-4889	216	36	5	5	NUM
cana-4889	216	37	perform	perform	NOUN
cana-4889	216	38	multiplication	multiplication	NOUN
cana-4889	216	39	z	z	NOUN
cana-4889	216	40	=	=	PUNCT
cana-4889	216	41	x	x	X
cana-4889	216	42	'	'	NOUN
cana-4889	216	43	*	*	PUNCT
cana-4889	217	1	y	y	X
cana-4889	217	2	'	'	PUNCT
cana-4889	217	3	=	=	SYM
cana-4889	217	4	115	115	NUM
cana-4889	217	5	check	check	NOUN
cana-4889	217	6	gcd	gcd	NOUN
cana-4889	217	7	(	(	PUNCT
cana-4889	217	8	z	z	NOUN
cana-4889	217	9	,	,	PUNCT
cana-4889	217	10	l	l	NOUN
cana-4889	217	11	)	)	PUNCT
cana-4889	217	12	=	=	SYM
cana-4889	218	1	=	=	SYM
cana-4889	218	2	1	1	NUM
cana-4889	218	3	,	,	PUNCT
cana-4889	218	4	gcd(115	gcd(115	NOUN
cana-4889	218	5	,	,	PUNCT
cana-4889	218	6	30	30	NUM
cana-4889	218	7	)	)	PUNCT
cana-4889	218	8	=	=	SYM
cana-4889	218	9	5	5	NUM
cana-4889	219	1	so	so	ADV
cana-4889	219	2	,	,	PUNCT
cana-4889	219	3	check	check	NOUN
cana-4889	219	4	gcd	gcd	NOUN
cana-4889	219	5	(	(	PUNCT
cana-4889	219	6	z	z	NOUN
cana-4889	219	7	,	,	PUNCT
cana-4889	219	8	m	m	NOUN
cana-4889	219	9	)	)	PUNCT
cana-4889	219	10	=	=	PUNCT
cana-4889	220	1	=	=	SYM
cana-4889	220	2	1	1	NUM
cana-4889	220	3	,	,	PUNCT
cana-4889	220	4	gcd(115	gcd(115	NOUN
cana-4889	220	5	,	,	PUNCT
cana-4889	220	6	48	48	NUM
cana-4889	220	7	)	)	PUNCT
cana-4889	220	8	=	=	SYM
cana-4889	221	1	1	1	NUM
cana-4889	221	2	so	so	ADV
cana-4889	221	3	,	,	PUNCT
cana-4889	221	4	calculate	calculate	NOUN
cana-4889	221	5	n	n	NOUN
cana-4889	221	6	=	=	SYM
cana-4889	221	7	z	z	NOUN
cana-4889	221	8	mod	mod	PROPN
cana-4889	222	1	m	m	PROPN
cana-4889	222	2	=	=	SYM
cana-4889	222	3	115	115	NUM
cana-4889	222	4	mod	mod	NOUN
cana-4889	222	5	48=	48=	NUM
cana-4889	222	6	19	19	NUM
cana-4889	222	7	d	d	NOUN
cana-4889	222	8	=	=	PUNCT
cana-4889	222	9	n-1	n-1	NOUN
cana-4889	223	1	mod	mod	PROPN
cana-4889	223	2	m	m	PROPN
cana-4889	223	3	=	=	NOUN
cana-4889	223	4	19	19	NUM
cana-4889	223	5	-	-	SYM
cana-4889	223	6	1	1	NUM
cana-4889	223	7	mod	mod	NOUN
cana-4889	223	8	48	48	NUM
cana-4889	223	9	=	=	SYM
cana-4889	223	10	43	43	NUM
cana-4889	223	11	ess	ess	NOUN
cana-4889	223	12	encryption	encryption	NOUN
cana-4889	223	13	&	&	CCONJ
cana-4889	223	14	decryption	decryption	NOUN
cana-4889	223	15	let	let	VERB
cana-4889	223	16	us	we	PRON
cana-4889	223	17	assume	assume	VERB
cana-4889	223	18	plaintext	plaintext	NOUN
cana-4889	223	19	m	m	NOUN
cana-4889	223	20	=	=	NOUN
cana-4889	223	21	32	32	NUM
cana-4889	223	22	.	.	PUNCT
cana-4889	224	1	encryption	encryption	NOUN
cana-4889	224	2	,	,	PUNCT
cana-4889	224	3	ciphertext	ciphertext	NOUN
cana-4889	224	4	c	c	PROPN
cana-4889	224	5	=	=	SYM
cana-4889	224	6	mn	mn	PROPN
cana-4889	224	7	mod	mod	PROPN
cana-4889	224	8	y	y	PROPN
cana-4889	224	9	,	,	PUNCT
cana-4889	224	10	c	c	PROPN
cana-4889	224	11	=	=	SYM
cana-4889	224	12	3219	3219	NUM
cana-4889	224	13	mod	mod	NOUN
cana-4889	224	14	221	221	NUM
cana-4889	224	15	=	=	SYM
cana-4889	224	16	111	111	NUM
cana-4889	224	17	decryption	decryption	NOUN
cana-4889	224	18	,	,	PUNCT
cana-4889	224	19	plaintext	plaintext	NOUN
cana-4889	224	20	m	m	NOUN
cana-4889	224	21	=	=	ADJ
cana-4889	224	22	cd	cd	PROPN
cana-4889	224	23	mod	mod	PROPN
cana-4889	224	24	y	y	PROPN
cana-4889	224	25	,	,	PUNCT
cana-4889	224	26	m	m	VERB
cana-4889	224	27	=	=	NOUN
cana-4889	224	28	11143	11143	NUM
cana-4889	224	29	mod	mod	NOUN
cana-4889	224	30	221	221	NUM
cana-4889	224	31	=	=	SYM
cana-4889	224	32	32	32	NUM
cana-4889	224	33	.	.	PUNCT
cana-4889	225	1	communications	communication	NOUN
cana-4889	225	2	on	on	ADP
cana-4889	225	3	applied	apply	VERB
cana-4889	225	4	nonlinear	nonlinear	ADJ
cana-4889	225	5	analysis	analysis	NOUN
cana-4889	225	6	issn	issn	NOUN
cana-4889	225	7	:	:	PUNCT
cana-4889	225	8	1074	1074	NUM
cana-4889	225	9	-	-	PUNCT
cana-4889	225	10	133x	133x	NUM
cana-4889	225	11	vol	vol	NOUN
cana-4889	225	12	32	32	NUM
cana-4889	225	13	no	no	NOUN
cana-4889	225	14	.	.	NOUN
cana-4889	225	15	1	1	NUM
cana-4889	225	16	(	(	PUNCT
cana-4889	225	17	2025	2025	NUM
cana-4889	225	18	)	)	PUNCT
cana-4889	225	19	428	428	NUM
cana-4889	226	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-4889	226	2	experimental	experimental	ADJ
cana-4889	226	3	results	result	NOUN
cana-4889	226	4	ess	ess	VERB
cana-4889	226	5	for	for	ADP
cana-4889	226	6	a	a	DET
cana-4889	226	7	sole	sole	ADJ
cana-4889	226	8	proprietor	proprietor	NOUN
cana-4889	226	9	cloud	cloud	NOUN
cana-4889	226	10	data	datum	NOUN
cana-4889	226	11	is	be	AUX
cana-4889	226	12	generated	generate	VERB
cana-4889	226	13	for	for	ADP
cana-4889	226	14	simulation	simulation	NOUN
cana-4889	226	15	purposes	purpose	NOUN
cana-4889	226	16	using	use	VERB
cana-4889	226	17	java	java	PROPN
cana-4889	226	18	biginteger	biginteger	PROPN
cana-4889	226	19	library	library	NOUN
cana-4889	226	20	methods	method	NOUN
cana-4889	226	21	(	(	PUNCT
cana-4889	226	22	neal	neal	PROPN
cana-4889	226	23	r	r	PROPN
cana-4889	226	24	wagner	wagner	PROPN
cana-4889	226	25	2003	2003	NUM
cana-4889	226	26	)	)	PUNCT
cana-4889	226	27	and	and	CCONJ
cana-4889	226	28	by	by	ADP
cana-4889	226	29	deploying	deploy	VERB
cana-4889	226	30	eucalyptus	eucalyptus	NOUN
cana-4889	226	31	on	on	ADP
cana-4889	226	32	a	a	DET
cana-4889	226	33	2.50	2.50	NUM
cana-4889	226	34	ghz	ghz	NOUN
cana-4889	226	35	intel	intel	PROPN
cana-4889	226	36	®	®	NOUN
cana-4889	226	37	coretm	coretm	NOUN
cana-4889	226	38	i5	i5	PROPN
cana-4889	226	39	-	-	PUNCT
cana-4889	226	40	3120	3120	NUM
cana-4889	226	41	m	m	NOUN
cana-4889	226	42	processor	processor	NOUN
cana-4889	226	43	with	with	ADP
cana-4889	226	44	8	8	NUM
cana-4889	226	45	gb	gb	NOUN
cana-4889	226	46	ram	ram	NOUN
cana-4889	226	47	.	.	PUNCT
cana-4889	227	1	five	five	NUM
cana-4889	227	2	clusters	cluster	NOUN
cana-4889	227	3	were	be	AUX
cana-4889	227	4	randomlyformed	randomlyforme	VERB
cana-4889	227	5	,	,	PUNCT
cana-4889	227	6	each	each	PRON
cana-4889	227	7	with	with	ADP
cana-4889	227	8	four	four	NUM
cana-4889	227	9	nodes(owners	nodes(owner	NOUN
cana-4889	227	10	)	)	PUNCT
cana-4889	227	11	,	,	PUNCT
cana-4889	227	12	and	and	CCONJ
cana-4889	227	13	each	each	DET
cana-4889	227	14	cluster	cluster	NOUN
cana-4889	227	15	was	be	AUX
cana-4889	227	16	assigned	assign	VERB
cana-4889	227	17	to	to	ADP
cana-4889	227	18	a	a	DET
cana-4889	227	19	community	community	NOUN
cana-4889	227	20	.	.	PUNCT
cana-4889	228	1	to	to	PART
cana-4889	228	2	produce	produce	VERB
cana-4889	228	3	a	a	DET
cana-4889	228	4	public	public	ADJ
cana-4889	228	5	and	and	CCONJ
cana-4889	228	6	private	private	ADJ
cana-4889	228	7	key	key	NOUN
cana-4889	228	8	,	,	PUNCT
cana-4889	228	9	each	each	DET
cana-4889	228	10	cloud	cloud	ADJ
cana-4889	228	11	node	node	NOUN
cana-4889	228	12	will	will	AUX
cana-4889	228	13	call	call	VERB
cana-4889	228	14	the	the	DET
cana-4889	228	15	ess_keygen	ess_keygen	NOUN
cana-4889	228	16	(	(	PUNCT
cana-4889	228	17	)	)	PUNCT
cana-4889	228	18	function	function	NOUN
cana-4889	228	19	.	.	PUNCT
cana-4889	229	1	then	then	ADV
cana-4889	229	2	,	,	PUNCT
cana-4889	229	3	each	each	DET
cana-4889	229	4	node	node	NOUN
cana-4889	229	5	in	in	ADP
cana-4889	229	6	the	the	DET
cana-4889	229	7	cluster	cluster	NOUN
cana-4889	229	8	will	will	AUX
cana-4889	229	9	exchange	exchange	VERB
cana-4889	229	10	its	its	PRON
cana-4889	229	11	public	public	ADJ
cana-4889	229	12	key	key	NOUN
cana-4889	229	13	with	with	ADP
cana-4889	229	14	other	other	ADJ
cana-4889	229	15	nodes	node	NOUN
cana-4889	229	16	in	in	ADP
cana-4889	229	17	the	the	DET
cana-4889	229	18	cluster	cluster	NOUN
cana-4889	229	19	.	.	PUNCT
cana-4889	230	1	the	the	DET
cana-4889	230	2	proposed	propose	VERB
cana-4889	230	3	ess	ess	NOUN
cana-4889	230	4	system	system	NOUN
cana-4889	230	5	's	's	PART
cana-4889	230	6	security	security	NOUN
cana-4889	230	7	and	and	CCONJ
cana-4889	230	8	performance	performance	NOUN
cana-4889	230	9	have	have	AUX
cana-4889	230	10	been	be	AUX
cana-4889	230	11	evaluated	evaluate	VERB
cana-4889	230	12	using	use	VERB
cana-4889	230	13	this	this	DET
cana-4889	230	14	cloud	cloud	ADJ
cana-4889	230	15	arrangement	arrangement	NOUN
cana-4889	230	16	.	.	PUNCT
cana-4889	231	1	the	the	DET
cana-4889	231	2	ss	ss	NOUN
cana-4889	231	3	and	and	CCONJ
cana-4889	231	4	ess	ess	PROPN
cana-4889	231	5	are	be	AUX
cana-4889	231	6	secured	secure	VERB
cana-4889	231	7	using	use	VERB
cana-4889	231	8	a	a	DET
cana-4889	231	9	brute	brute	ADJ
cana-4889	231	10	force	force	NOUN
cana-4889	231	11	attack	attack	NOUN
cana-4889	231	12	and	and	CCONJ
cana-4889	231	13	a	a	DET
cana-4889	231	14	number	number	NOUN
cana-4889	231	15	field	field	NOUN
cana-4889	231	16	sieve	sieve	NOUN
cana-4889	231	17	integer	integer	NOUN
cana-4889	231	18	factorization	factorization	NOUN
cana-4889	231	19	technique	technique	NOUN
cana-4889	231	20	.	.	PUNCT
cana-4889	232	1	to	to	PART
cana-4889	232	2	determine	determine	VERB
cana-4889	232	3	the	the	DET
cana-4889	232	4	algorithm	algorithm	NOUN
cana-4889	232	5	's	's	PART
cana-4889	232	6	overall	overall	ADJ
cana-4889	232	7	execution	execution	NOUN
cana-4889	232	8	time	time	NOUN
cana-4889	232	9	,	,	PUNCT
cana-4889	232	10	the	the	DET
cana-4889	232	11	various	various	ADJ
cana-4889	232	12	performance	performance	NOUN
cana-4889	232	13	indicators	indicator	NOUN
cana-4889	232	14	for	for	ADP
cana-4889	232	15	ess	ess	PROPN
cana-4889	232	16	are	be	AUX
cana-4889	232	17	analysed	analyse	VERB
cana-4889	232	18	.	.	PUNCT
cana-4889	233	1	performance	performance	NOUN
cana-4889	233	2	analysis	analysis	NOUN
cana-4889	233	3	variable	variable	ADJ
cana-4889	233	4	file	file	NOUN
cana-4889	233	5	size	size	NOUN
cana-4889	233	6	the	the	DET
cana-4889	233	7	proposed	propose	VERB
cana-4889	233	8	ess	ess	PROPN
cana-4889	233	9	cryptosystem	cryptosystem	PROPN
cana-4889	233	10	's	's	PART
cana-4889	233	11	performance	performance	NOUN
cana-4889	233	12	for	for	ADP
cana-4889	233	13	single	single	ADJ
cana-4889	233	14	owner	owner	NOUN
cana-4889	233	15	cloud	cloud	NOUN
cana-4889	233	16	data	datum	NOUN
cana-4889	233	17	is	be	AUX
cana-4889	233	18	analyzed	analyze	VERB
cana-4889	233	19	with	with	ADP
cana-4889	233	20	cloud	cloud	NOUN
cana-4889	233	21	data	datum	NOUN
cana-4889	233	22	.	.	PUNCT
cana-4889	234	1	for	for	ADP
cana-4889	234	2	effectivecomparison	effectivecomparison	PROPN
cana-4889	234	3	,	,	PUNCT
cana-4889	234	4	small	small	ADJ
cana-4889	234	5	input	input	NOUN
cana-4889	234	6	filesizes	filesize	NOUN
cana-4889	234	7	are	be	AUX
cana-4889	234	8	given	give	VERB
cana-4889	234	9	to	to	ADP
cana-4889	234	10	ss	ss	PROPN
cana-4889	234	11	&	&	CCONJ
cana-4889	234	12	proposed	propose	VERB
cana-4889	234	13	ess	ess	PROPN
cana-4889	234	14	variable	variable	ADJ
cana-4889	234	15	input	input	NOUN
cana-4889	234	16	file	file	NOUN
cana-4889	234	17	sizes	size	NOUN
cana-4889	234	18	.	.	PUNCT
cana-4889	235	1	when	when	SCONJ
cana-4889	235	2	compared	compare	VERB
cana-4889	235	3	to	to	ADP
cana-4889	235	4	the	the	DET
cana-4889	235	5	schmidt	schmidt	PROPN
cana-4889	235	6	samoa	samoa	PROPN
cana-4889	235	7	cryptosystem	cryptosystem	NOUN
cana-4889	235	8	,	,	PUNCT
cana-4889	235	9	execution	execution	NOUN
cana-4889	235	10	time	time	NOUN
cana-4889	235	11	for	for	ADP
cana-4889	235	12	encryption	encryption	NOUN
cana-4889	235	13	&	&	CCONJ
cana-4889	235	14	decryption	decryption	NOUN
cana-4889	235	15	versus	versus	ADP
cana-4889	235	16	proposed	propose	VERB
cana-4889	235	17	enhanced	enhanced	ADJ
cana-4889	235	18	schmidt	schmidt	PROPN
cana-4889	235	19	samoa	samoa	PROPN
cana-4889	235	20	cryptosystem	cryptosystem	NOUN
cana-4889	235	21	for	for	ADP
cana-4889	235	22	single	single	ADJ
cana-4889	235	23	owner	owner	NOUN
cana-4889	235	24	encryption	encryption	NOUN
cana-4889	235	25	and	and	CCONJ
cana-4889	235	26	decryption	decryption	NOUN
cana-4889	235	27	ranges	range	VERB
cana-4889	235	28	from	from	ADP
cana-4889	235	29	8	8	NUM
cana-4889	235	30	kb	kb	PROPN
cana-4889	235	31	to	to	ADP
cana-4889	235	32	1024	1024	NUM
cana-4889	235	33	kb	kb	PROPN
cana-4889	235	34	,	,	PUNCT
cana-4889	235	35	with	with	ADP
cana-4889	235	36	key	key	ADJ
cana-4889	235	37	sizes	size	NOUN
cana-4889	235	38	remaining	remain	VERB
cana-4889	235	39	constant	constant	ADJ
cana-4889	235	40	at	at	ADP
cana-4889	235	41	16	16	NUM
cana-4889	235	42	bits	bit	NOUN
cana-4889	235	43	and	and	CCONJ
cana-4889	235	44	32	32	NUM
cana-4889	235	45	bits	bit	NOUN
cana-4889	235	46	.	.	PUNCT
cana-4889	236	1	in	in	ADP
cana-4889	236	2	ss	ss	PROPN
cana-4889	236	3	,	,	PUNCT
cana-4889	236	4	the	the	DET
cana-4889	236	5	key	key	ADJ
cana-4889	236	6	value	value	NOUN
cana-4889	236	7	for	for	ADP
cana-4889	236	8	16	16	NUM
cana-4889	236	9	bits	bit	NOUN
cana-4889	236	10	is	be	AUX
cana-4889	236	11	taken	take	VERB
cana-4889	236	12	with	with	ADP
cana-4889	236	13	p=257	p=257	NOUN
cana-4889	236	14	,	,	PUNCT
cana-4889	236	15	q=349	q=349	PROPN
cana-4889	236	16	,	,	PUNCT
cana-4889	236	17	n=23051101	n=23051101	PROPN
cana-4889	236	18	,	,	PUNCT
cana-4889	236	19	and	and	CCONJ
cana-4889	236	20	d=19189	d=19189	PROPN
cana-4889	236	21	.	.	PROPN
cana-4889	237	1	in	in	ADP
cana-4889	237	2	ess	ess	PROPN
cana-4889	237	3	,	,	PUNCT
cana-4889	237	4	the	the	DET
cana-4889	237	5	key	key	ADJ
cana-4889	237	6	value	value	NOUN
cana-4889	237	7	for	for	ADP
cana-4889	237	8	16	16	NUM
cana-4889	237	9	bit	bit	NOUN
cana-4889	237	10	is	be	AUX
cana-4889	237	11	taken	take	VERB
cana-4889	237	12	with	with	ADP
cana-4889	237	13	p=367	p=367	PROPN
cana-4889	237	14	,	,	PUNCT
cana-4889	237	15	q=379	q=379	PROPN
cana-4889	237	16	,	,	PUNCT
cana-4889	237	17	r=389	r=389	PROPN
cana-4889	237	18	,	,	PUNCT
cana-4889	237	19	s=401	s=401	PROPN
cana-4889	237	20	,	,	PUNCT
cana-4889	237	21	n=4099	n=4099	PROPN
cana-4889	237	22	,	,	PUNCT
cana-4889	237	23	and	and	CCONJ
cana-4889	237	24	d=8699	d=8699	PROPN
cana-4889	237	25	.	.	NOUN
cana-4889	237	26	table	table	NOUN
cana-4889	237	27	1	1	NUM
cana-4889	237	28	shows	show	VERB
cana-4889	237	29	execution	execution	NOUN
cana-4889	237	30	time	time	NOUN
cana-4889	237	31	of	of	ADP
cana-4889	237	32	schmidt	schmidt	PROPN
cana-4889	237	33	samoa	samoa	PROPN
cana-4889	237	34	cryptosystem	cryptosystem	NOUN
cana-4889	237	35	and	and	CCONJ
cana-4889	237	36	enhanced	enhance	VERB
cana-4889	237	37	schmidt	schmidt	PROPN
cana-4889	237	38	samoa	samoa	PROPN
cana-4889	237	39	cryptosystem	cryptosystem	NOUN
cana-4889	237	40	for	for	ADP
cana-4889	237	41	single	single	ADJ
cana-4889	237	42	owner	owner	NOUN
cana-4889	237	43	cloud	cloud	PROPN
cana-4889	237	44	data	datum	NOUN
cana-4889	237	45	with	with	ADP
cana-4889	237	46	key	key	ADJ
cana-4889	237	47	size	size	NOUN
cana-4889	237	48	16	16	NUM
cana-4889	237	49	bits	bit	NOUN
cana-4889	237	50	.	.	PUNCT
cana-4889	238	1	table	table	NOUN
cana-4889	238	2	1	1	NUM
cana-4889	238	3	:	:	PUNCT
cana-4889	238	4	execution	execution	NOUN
cana-4889	238	5	time	time	NOUN
cana-4889	238	6	in	in	ADP
cana-4889	238	7	ss	ss	NOUN
cana-4889	238	8	and	and	CCONJ
cana-4889	238	9	ess	ess	NOUN
cana-4889	238	10	with	with	ADP
cana-4889	238	11	key	key	ADJ
cana-4889	238	12	size	size	NOUN
cana-4889	238	13	16	16	NUM
cana-4889	238	14	bits	bit	NOUN
cana-4889	238	15	for	for	ADP
cana-4889	238	16	single	single	ADJ
cana-4889	238	17	owner	owner	NOUN
cana-4889	238	18	cloud	cloud	PROPN
cana-4889	238	19	data	datum	NOUN
cana-4889	238	20	file	file	NOUN
cana-4889	238	21	size	size	NOUN
cana-4889	238	22	(	(	PUNCT
cana-4889	238	23	kb	kb	PROPN
cana-4889	238	24	)	)	PUNCT
cana-4889	238	25	ss	ss	NOUN
cana-4889	238	26	for	for	ADP
cana-4889	238	27	variable	variable	ADJ
cana-4889	238	28	key	key	ADJ
cana-4889	238	29	size	size	NOUN
cana-4889	238	30	ess	ess	NOUN
cana-4889	238	31	for	for	ADP
cana-4889	238	32	variable	variable	ADJ
cana-4889	238	33	key	key	ADJ
cana-4889	238	34	size	size	NOUN
cana-4889	238	35	key	key	ADJ
cana-4889	238	36	generation	generation	NOUN
cana-4889	238	37	time	time	NOUN
cana-4889	238	38	(	(	PUNCT
cana-4889	238	39	ms	ms	NOUN
cana-4889	238	40	)	)	PUNCT
cana-4889	238	41	encryption	encryption	NOUN
cana-4889	238	42	time	time	NOUN
cana-4889	238	43	(	(	PUNCT
cana-4889	238	44	µs	µs	NOUN
cana-4889	238	45	)	)	PUNCT
cana-4889	238	46	decryption	decryption	NOUN
cana-4889	238	47	time	time	NOUN
cana-4889	238	48	(	(	PUNCT
cana-4889	238	49	µs	µs	NOUN
cana-4889	238	50	)	)	PUNCT
cana-4889	238	51	key	key	ADJ
cana-4889	238	52	generation	generation	NOUN
cana-4889	238	53	time	time	NOUN
cana-4889	238	54	(	(	PUNCT
cana-4889	238	55	ms	ms	NOUN
cana-4889	238	56	)	)	PUNCT
cana-4889	238	57	encryption	encryption	NOUN
cana-4889	238	58	time	time	NOUN
cana-4889	238	59	(	(	PUNCT
cana-4889	238	60	µs	µs	NOUN
cana-4889	238	61	)	)	PUNCT
cana-4889	238	62	decryption	decryption	NOUN
cana-4889	238	63	time	time	NOUN
cana-4889	238	64	(	(	PUNCT
cana-4889	238	65	µs	µs	NOUN
cana-4889	238	66	)	)	PUNCT
cana-4889	238	67	8	8	NUM
cana-4889	238	68	47	47	NUM
cana-4889	238	69	864	864	NUM
cana-4889	238	70	235	235	NUM
cana-4889	238	71	68	68	NUM
cana-4889	238	72	148	148	NUM
cana-4889	238	73	43	43	NUM
cana-4889	238	74	16	16	NUM
cana-4889	238	75	951	951	NUM
cana-4889	238	76	352	352	NUM
cana-4889	238	77	264	264	NUM
cana-4889	238	78	80	80	NUM
cana-4889	238	79	32	32	NUM
cana-4889	238	80	1023	1023	NUM
cana-4889	238	81	625	625	NUM
cana-4889	238	82	476	476	NUM
cana-4889	238	83	138	138	NUM
cana-4889	238	84	64	64	NUM
cana-4889	238	85	3546	3546	NUM
cana-4889	238	86	985	985	NUM
cana-4889	238	87	870	870	NUM
cana-4889	238	88	255	255	NUM
cana-4889	238	89	128	128	NUM
cana-4889	238	90	6531	6531	NUM
cana-4889	238	91	1254	1254	NUM
cana-4889	238	92	1113	1113	NUM
cana-4889	238	93	516	516	NUM
cana-4889	238	94	256	256	NUM
cana-4889	238	95	9564	9564	NUM
cana-4889	238	96	5964	5964	NUM
cana-4889	238	97	3339	3339	NUM
cana-4889	238	98	1019	1019	NUM
cana-4889	238	99	512	512	NUM
cana-4889	238	100	10235	10235	NUM
cana-4889	238	101	8546	8546	NUM
cana-4889	238	102	6496	6496	NUM
cana-4889	238	103	2027	2027	NUM
cana-4889	238	104	1024	1024	NUM
cana-4889	238	105	16547	16547	NUM
cana-4889	238	106	9873	9873	NUM
cana-4889	238	107	12910	12910	NUM
cana-4889	238	108	4126	4126	NUM
cana-4889	238	109	again	again	ADV
cana-4889	238	110	for	for	ADP
cana-4889	238	111	ss	ss	PROPN
cana-4889	238	112	,	,	PUNCT
cana-4889	238	113	the	the	DET
cana-4889	238	114	key	key	ADJ
cana-4889	238	115	value	value	NOUN
cana-4889	238	116	for	for	ADP
cana-4889	238	117	32	32	NUM
cana-4889	238	118	bit	bit	NOUN
cana-4889	238	119	is	be	AUX
cana-4889	238	120	taken	take	VERB
cana-4889	238	121	with	with	ADP
cana-4889	238	122	p=73529	p=73529	PROPN
cana-4889	238	123	,	,	PUNCT
cana-4889	238	124	q=73547	q=73547	PROPN
cana-4889	238	125	,	,	PUNCT
cana-4889	238	126	n=506233051	n=506233051	PROPN
cana-4889	238	127	,	,	PUNCT
cana-4889	238	128	and	and	CCONJ
cana-4889	238	129	d=1475417611	d=1475417611	PROPN
cana-4889	238	130	.	.	PROPN
cana-4889	239	1	for	for	ADP
cana-4889	239	2	ess	ess	PROPN
cana-4889	239	3	,	,	PUNCT
cana-4889	239	4	the	the	DET
cana-4889	239	5	key	key	ADJ
cana-4889	239	6	value	value	NOUN
cana-4889	239	7	for	for	ADP
cana-4889	239	8	32	32	NUM
cana-4889	239	9	bit	bit	NOUN
cana-4889	239	10	is	be	AUX
cana-4889	239	11	taken	take	VERB
cana-4889	239	12	with	with	ADP
cana-4889	239	13	p=73529	p=73529	PROPN
cana-4889	239	14	,	,	PUNCT
cana-4889	239	15	q=73547	q=73547	PROPN
cana-4889	239	16	,	,	PUNCT
cana-4889	239	17	r=73553	r=73553	PROPN
cana-4889	239	18	,	,	PUNCT
cana-4889	239	19	s=73561	s=73561	PROPN
cana-4889	239	20	,	,	PUNCT
cana-4889	239	21	n=2391448019	n=2391448019	PROPN
cana-4889	239	22	,	,	PUNCT
cana-4889	239	23	and	and	CCONJ
cana-4889	239	24	d=1564100563	d=1564100563	PROPN
cana-4889	240	1	.	.	PUNCT
cana-4889	240	2	communications	communication	NOUN
cana-4889	240	3	on	on	ADP
cana-4889	240	4	applied	apply	VERB
cana-4889	240	5	nonlinear	nonlinear	ADJ
cana-4889	240	6	analysis	analysis	NOUN
cana-4889	240	7	issn	issn	NOUN
cana-4889	240	8	:	:	PUNCT
cana-4889	240	9	1074	1074	NUM
cana-4889	240	10	-	-	PUNCT
cana-4889	240	11	133x	133x	NUM
cana-4889	240	12	vol	vol	NOUN
cana-4889	240	13	32	32	NUM
cana-4889	240	14	no	no	NOUN
cana-4889	240	15	.	.	NOUN
cana-4889	240	16	1	1	NUM
cana-4889	240	17	(	(	PUNCT
cana-4889	240	18	2025	2025	NUM
cana-4889	240	19	)	)	PUNCT
cana-4889	240	20	429	429	NUM
cana-4889	240	21	https://internationalpubls.com	https://internationalpubls.com	X
cana-4889	240	22	table	table	NOUN
cana-4889	240	23	2	2	NUM
cana-4889	240	24	the	the	DET
cana-4889	240	25	execution	execution	NOUN
cana-4889	240	26	time	time	NOUN
cana-4889	240	27	of	of	ADP
cana-4889	240	28	the	the	DET
cana-4889	240	29	schmidt	schmidt	PROPN
cana-4889	240	30	samoa	samoa	PROPN
cana-4889	240	31	cryptosystem	cryptosystem	NOUN
cana-4889	240	32	and	and	CCONJ
cana-4889	240	33	enhanced	enhance	VERB
cana-4889	240	34	schmidt	schmidt	PROPN
cana-4889	240	35	samoa	samoa	PROPN
cana-4889	240	36	cryptosystem	cryptosystem	NOUN
cana-4889	240	37	for	for	ADP
cana-4889	240	38	single	single	ADJ
cana-4889	240	39	owner	owner	NOUN
cana-4889	240	40	cloud	cloud	PROPN
cana-4889	240	41	data	datum	NOUN
cana-4889	240	42	with	with	ADP
cana-4889	240	43	key	key	ADJ
cana-4889	240	44	size	size	NOUN
cana-4889	240	45	32	32	NUM
cana-4889	240	46	bits	bit	NOUN
cana-4889	240	47	.	.	PUNCT
cana-4889	241	1	table	table	NOUN
cana-4889	241	2	2	2	NUM
cana-4889	241	3	:	:	PUNCT
cana-4889	241	4	execution	execution	NOUN
cana-4889	241	5	time	time	NOUN
cana-4889	241	6	in	in	ADP
cana-4889	241	7	ss	ss	NOUN
cana-4889	241	8	and	and	CCONJ
cana-4889	241	9	ess	ess	NOUN
cana-4889	241	10	with	with	ADP
cana-4889	241	11	key	key	ADJ
cana-4889	241	12	size	size	NOUN
cana-4889	241	13	32	32	NUM
cana-4889	241	14	bits	bit	NOUN
cana-4889	241	15	for	for	ADP
cana-4889	241	16	single	single	ADJ
cana-4889	241	17	owner	owner	NOUN
cana-4889	241	18	cloud	cloud	PROPN
cana-4889	241	19	data	datum	NOUN
cana-4889	241	20	file	file	NOUN
cana-4889	241	21	size	size	NOUN
cana-4889	241	22	(	(	PUNCT
cana-4889	241	23	kb	kb	PROPN
cana-4889	241	24	)	)	PUNCT
cana-4889	241	25	ss	ss	NOUN
cana-4889	241	26	for	for	ADP
cana-4889	241	27	variable	variable	ADJ
cana-4889	241	28	key	key	ADJ
cana-4889	241	29	size	size	NOUN
cana-4889	241	30	ess	ess	NOUN
cana-4889	241	31	for	for	ADP
cana-4889	241	32	variable	variable	ADJ
cana-4889	241	33	key	key	ADJ
cana-4889	241	34	size	size	NOUN
cana-4889	241	35	key	key	ADJ
cana-4889	241	36	generation	generation	NOUN
cana-4889	241	37	time	time	NOUN
cana-4889	241	38	(	(	PUNCT
cana-4889	241	39	ms	ms	NOUN
cana-4889	241	40	)	)	PUNCT
cana-4889	241	41	encryption	encryption	NOUN
cana-4889	241	42	time	time	NOUN
cana-4889	241	43	(	(	PUNCT
cana-4889	241	44	µs	µs	NOUN
cana-4889	241	45	)	)	PUNCT
cana-4889	241	46	decryption	decryption	NOUN
cana-4889	241	47	time	time	NOUN
cana-4889	241	48	(	(	PUNCT
cana-4889	241	49	µs	µs	NOUN
cana-4889	241	50	)	)	PUNCT
cana-4889	241	51	key	key	ADJ
cana-4889	241	52	generation	generation	NOUN
cana-4889	241	53	time	time	NOUN
cana-4889	241	54	(	(	PUNCT
cana-4889	241	55	ms	ms	NOUN
cana-4889	241	56	)	)	PUNCT
cana-4889	241	57	encryption	encryption	NOUN
cana-4889	241	58	time	time	NOUN
cana-4889	241	59	(	(	PUNCT
cana-4889	241	60	µs	µs	NOUN
cana-4889	241	61	)	)	PUNCT
cana-4889	241	62	decryption	decryption	NOUN
cana-4889	241	63	time	time	NOUN
cana-4889	241	64	(	(	PUNCT
cana-4889	241	65	µs	µs	NOUN
cana-4889	241	66	)	)	PUNCT
cana-4889	241	67	8	8	NUM
cana-4889	241	68	94	94	NUM
cana-4889	241	69	987	987	NUM
cana-4889	241	70	241	241	NUM
cana-4889	241	71	124	124	NUM
cana-4889	241	72	195	195	NUM
cana-4889	241	73	95	95	NUM
cana-4889	241	74	16	16	NUM
cana-4889	241	75	1235	1235	NUM
cana-4889	241	76	425	425	NUM
cana-4889	241	77	324	324	NUM
cana-4889	241	78	190	190	NUM
cana-4889	241	79	32	32	NUM
cana-4889	241	80	2564	2564	NUM
cana-4889	241	81	867	867	NUM
cana-4889	241	82	595	595	NUM
cana-4889	241	83	360	360	NUM
cana-4889	241	84	64	64	NUM
cana-4889	241	85	4659	4659	NUM
cana-4889	241	86	1265	1265	NUM
cana-4889	241	87	1110	1110	NUM
cana-4889	241	88	715	715	NUM
cana-4889	241	89	128	128	NUM
cana-4889	241	90	6987	6987	NUM
cana-4889	241	91	4567	4567	NUM
cana-4889	241	92	2174	2174	NUM
cana-4889	241	93	1477	1477	NUM
cana-4889	241	94	256	256	NUM
cana-4889	241	95	9687	9687	NUM
cana-4889	241	96	5674	5674	NUM
cana-4889	241	97	4409	4409	NUM
cana-4889	241	98	2990	2990	NUM
cana-4889	241	99	512	512	NUM
cana-4889	241	100	12354	12354	NUM
cana-4889	241	101	9874	9874	NUM
cana-4889	241	102	8272	8272	NUM
cana-4889	241	103	5768	5768	NUM
cana-4889	241	104	1024	1024	NUM
cana-4889	241	105	23564	23564	NUM
cana-4889	241	106	14659	14659	NUM
cana-4889	241	107	16667	16667	NUM
cana-4889	241	108	11492	11492	NUM
cana-4889	241	109	the	the	DET
cana-4889	241	110	inference	inference	NOUN
cana-4889	241	111	of	of	ADP
cana-4889	241	112	tables	table	NOUN
cana-4889	241	113	1	1	NUM
cana-4889	241	114	and	and	CCONJ
cana-4889	241	115	2	2	NUM
cana-4889	241	116	are	be	AUX
cana-4889	241	117	as	as	SCONJ
cana-4889	241	118	follows	follow	VERB
cana-4889	241	119	:	:	PUNCT
cana-4889	241	120	the	the	DET
cana-4889	241	121	computation	computation	NOUN
cana-4889	241	122	cost	cost	NOUN
cana-4889	241	123	for	for	ADP
cana-4889	241	124	the	the	DET
cana-4889	241	125	key	key	ADJ
cana-4889	241	126	generation	generation	NOUN
cana-4889	241	127	of	of	ADP
cana-4889	241	128	ess	ess	PROPN
cana-4889	241	129	is	be	AUX
cana-4889	241	130	high	high	ADJ
cana-4889	241	131	compared	compare	VERB
cana-4889	241	132	to	to	ADP
cana-4889	241	133	ss	ss	NOUN
cana-4889	241	134	,	,	PUNCT
cana-4889	241	135	because	because	SCONJ
cana-4889	241	136	of	of	ADP
cana-4889	241	137	the	the	DET
cana-4889	241	138	complex	complex	ADJ
cana-4889	241	139	operations	operation	NOUN
cana-4889	241	140	.	.	PUNCT
cana-4889	242	1	in	in	ADP
cana-4889	242	2	the	the	DET
cana-4889	242	3	ss	ss	PROPN
cana-4889	242	4	key	key	ADJ
cana-4889	242	5	generation	generation	NOUN
cana-4889	242	6	,	,	PUNCT
cana-4889	242	7	the	the	DET
cana-4889	242	8	computation	computation	NOUN
cana-4889	242	9	cost	cost	NOUN
cana-4889	242	10	depends	depend	VERB
cana-4889	242	11	on	on	ADP
cana-4889	242	12	two	two	NUM
cana-4889	242	13	multiplications	multiplication	NOUN
cana-4889	242	14	,	,	PUNCT
cana-4889	242	15	one	one	NUM
cana-4889	242	16	inverse	inverse	NOUN
cana-4889	242	17	,	,	PUNCT
cana-4889	242	18	and	and	CCONJ
cana-4889	242	19	one	one	NUM
cana-4889	242	20	lcm	lcm	NOUN
cana-4889	242	21	operation	operation	NOUN
cana-4889	242	22	.	.	PUNCT
cana-4889	243	1	the	the	DET
cana-4889	243	2	computation	computation	NOUN
cana-4889	243	3	cost	cost	NOUN
cana-4889	243	4	depends	depend	VERB
cana-4889	243	5	on	on	ADP
cana-4889	243	6	two	two	NUM
cana-4889	243	7	lcm	lcm	NOUN
cana-4889	243	8	operations	operation	NOUN
cana-4889	243	9	,	,	PUNCT
cana-4889	243	10	three	three	NUM
cana-4889	243	11	multiplications	multiplication	NOUN
cana-4889	243	12	,	,	PUNCT
cana-4889	243	13	and	and	CCONJ
cana-4889	243	14	two	two	NUM
cana-4889	243	15	inverse	inverse	ADJ
cana-4889	243	16	operations	operation	NOUN
cana-4889	243	17	in	in	ADP
cana-4889	243	18	ess	ess	PROPN
cana-4889	243	19	key	key	ADJ
cana-4889	243	20	generation	generation	NOUN
cana-4889	243	21	.	.	PUNCT
cana-4889	244	1	but	but	CCONJ
cana-4889	244	2	related	relate	VERB
cana-4889	244	3	to	to	ADP
cana-4889	244	4	encryption	encryption	NOUN
cana-4889	244	5	and	and	CCONJ
cana-4889	244	6	decryption	decryption	NOUN
cana-4889	244	7	time	time	NOUN
cana-4889	244	8	,	,	PUNCT
cana-4889	244	9	ess	ess	PROPN
cana-4889	244	10	performs	perform	VERB
cana-4889	244	11	faster	fast	ADV
cana-4889	244	12	than	than	ADP
cana-4889	244	13	ss	ss	PROPN
cana-4889	244	14	.	.	PUNCT
cana-4889	245	1	the	the	DET
cana-4889	245	2	computation	computation	NOUN
cana-4889	245	3	cost	cost	NOUN
cana-4889	245	4	of	of	ADP
cana-4889	245	5	ess	ess	PROPN
cana-4889	245	6	is	be	AUX
cana-4889	245	7	less	less	ADJ
cana-4889	245	8	because	because	SCONJ
cana-4889	245	9	of	of	ADP
cana-4889	245	10	the	the	DET
cana-4889	245	11	small	small	ADJ
cana-4889	245	12	size	size	NOUN
cana-4889	245	13	of	of	ADP
cana-4889	245	14	keys	key	NOUN
cana-4889	245	15	used	use	VERB
cana-4889	245	16	for	for	ADP
cana-4889	245	17	encryption	encryption	NOUN
cana-4889	245	18	and	and	CCONJ
cana-4889	245	19	decryption	decryption	NOUN
cana-4889	245	20	,	,	PUNCT
cana-4889	245	21	compared	compare	VERB
cana-4889	245	22	to	to	ADP
cana-4889	245	23	ss	ss	PROPN
cana-4889	245	24	.	.	PUNCT
cana-4889	246	1	further	far	ADV
cana-4889	246	2	,	,	PUNCT
cana-4889	246	3	the	the	DET
cana-4889	246	4	comparative	comparative	ADJ
cana-4889	246	5	analysis	analysis	NOUN
cana-4889	246	6	has	have	AUX
cana-4889	246	7	been	be	AUX
cana-4889	246	8	performed	perform	VERB
cana-4889	246	9	with	with	ADP
cana-4889	246	10	schmidt	schmidt	PROPN
cana-4889	246	11	samoa	samoa	PROPN
cana-4889	246	12	,	,	PUNCT
cana-4889	246	13	rsa	rsa	PROPN
cana-4889	246	14	,	,	PUNCT
cana-4889	246	15	paillier	paillier	NOUN
cana-4889	246	16	,	,	PUNCT
cana-4889	246	17	and	and	CCONJ
cana-4889	246	18	enhanced	enhance	VERB
cana-4889	246	19	schmidt	schmidt	PROPN
cana-4889	246	20	samoa	samoa	PROPN
cana-4889	246	21	cryptosystems	cryptosystem	NOUN
cana-4889	246	22	.	.	PUNCT
cana-4889	247	1	the	the	DET
cana-4889	247	2	experiments	experiment	NOUN
cana-4889	247	3	have	have	AUX
cana-4889	247	4	been	be	AUX
cana-4889	247	5	conducted	conduct	VERB
cana-4889	247	6	for	for	ADP
cana-4889	247	7	a	a	DET
cana-4889	247	8	fixed	fix	VERB
cana-4889	247	9	key	key	ADJ
cana-4889	247	10	size	size	NOUN
cana-4889	247	11	of	of	ADP
cana-4889	247	12	1024	1024	NUM
cana-4889	247	13	bits	bit	NOUN
cana-4889	247	14	with	with	ADP
cana-4889	247	15	various	various	ADJ
cana-4889	247	16	file	file	NOUN
cana-4889	247	17	sizes	size	NOUN
cana-4889	247	18	in	in	ADP
cana-4889	247	19	megabytes	megabyte	NOUN
cana-4889	247	20	(	(	PUNCT
cana-4889	247	21	mb	mb	NOUN
cana-4889	247	22	)	)	PUNCT
cana-4889	247	23	.	.	PUNCT
cana-4889	248	1	figures	figure	NOUN
cana-4889	248	2	4	4	NUM
cana-4889	248	3	and	and	CCONJ
cana-4889	248	4	5	5	NUM
cana-4889	248	5	show	show	NOUN
cana-4889	248	6	schmidt	schmidt	PROPN
cana-4889	248	7	samoa	samoa	PROPN
cana-4889	248	8	,	,	PUNCT
cana-4889	248	9	rsa	rsa	PROPN
cana-4889	248	10	,	,	PUNCT
cana-4889	248	11	paillier	paillier	NOUN
cana-4889	248	12	,	,	PUNCT
cana-4889	248	13	and	and	CCONJ
cana-4889	248	14	enhanced	enhance	VERB
cana-4889	248	15	schmidt	schmidt	PROPN
cana-4889	248	16	samoa	samoa	PROPN
cana-4889	248	17	cryptosystems	cryptosystem	NOUN
cana-4889	248	18	performance	performance	NOUN
cana-4889	248	19	related	relate	VERB
cana-4889	248	20	to	to	ADP
cana-4889	248	21	computation	computation	NOUN
cana-4889	248	22	costs	cost	NOUN
cana-4889	248	23	of	of	ADP
cana-4889	248	24	encryption	encryption	NOUN
cana-4889	248	25	and	and	CCONJ
cana-4889	248	26	decryption	decryption	NOUN
cana-4889	248	27	for	for	ADP
cana-4889	248	28	variable	variable	ADJ
cana-4889	248	29	file	file	NOUN
cana-4889	248	30	sizes	size	NOUN
cana-4889	248	31	and	and	CCONJ
cana-4889	248	32	fixed	fix	VERB
cana-4889	248	33	key	key	ADJ
cana-4889	248	34	size	size	NOUN
cana-4889	248	35	of	of	ADP
cana-4889	248	36	1024	1024	NUM
cana-4889	248	37	bits	bit	NOUN
cana-4889	248	38	.	.	PUNCT
cana-4889	249	1	the	the	DET
cana-4889	249	2	results	result	NOUN
cana-4889	249	3	show	show	VERB
cana-4889	249	4	that	that	SCONJ
cana-4889	249	5	ess	ess	PROPN
cana-4889	249	6	performs	perform	VERB
cana-4889	249	7	faster	fast	ADV
cana-4889	249	8	compared	compare	VERB
cana-4889	249	9	to	to	ADP
cana-4889	249	10	schmidt	schmidt	PROPN
cana-4889	249	11	samoa	samoa	PROPN
cana-4889	249	12	,	,	PUNCT
cana-4889	249	13	rsa	rsa	PROPN
cana-4889	249	14	,	,	PUNCT
cana-4889	249	15	and	and	CCONJ
cana-4889	249	16	paillier	paillier	ADJ
cana-4889	249	17	cryptosystems	cryptosystem	NOUN
cana-4889	249	18	.	.	PUNCT
cana-4889	250	1	figure	figure	VERB
cana-4889	250	2	4	4	NUM
cana-4889	250	3	:	:	PUNCT
cana-4889	250	4	encryption	encryption	NOUN
cana-4889	250	5	time	time	NOUN
cana-4889	250	6	for	for	ADP
cana-4889	250	7	single	single	ADJ
cana-4889	250	8	owner	owner	NOUN
cana-4889	250	9	cloud	cloud	PROPN
cana-4889	250	10	data	datum	NOUN
cana-4889	250	11	(	(	PUNCT
cana-4889	250	12	key	key	ADJ
cana-4889	250	13	size	size	NOUN
cana-4889	250	14	1024	1024	NUM
cana-4889	250	15	bits	bit	NOUN
cana-4889	250	16	)	)	PUNCT
cana-4889	250	17	0	0	NUM
cana-4889	250	18	5000	5000	NUM
cana-4889	250	19	10000	10000	NUM
cana-4889	250	20	15000	15000	NUM
cana-4889	250	21	20000	20000	NUM
cana-4889	250	22	25000	25000	NUM
cana-4889	250	23	30000	30000	NUM
cana-4889	250	24	256	256	NUM
cana-4889	250	25	512	512	NUM
cana-4889	250	26	1024	1024	NUM
cana-4889	250	27	2048	2048	NUM
cana-4889	250	28	4096	4096	NUM
cana-4889	250	29	8192	8192	NUM
cana-4889	250	30	16384	16384	NUM
cana-4889	250	31	e	e	X
cana-4889	250	32	n	n	PROPN
cana-4889	250	33	c	c	NOUN
cana-4889	250	34	r	r	NOUN
cana-4889	250	35	ip	ip	NOUN
cana-4889	250	36	t	t	PROPN
cana-4889	250	37	io	io	NOUN
cana-4889	250	38	n	n	ADP
cana-4889	250	39	t	t	X
cana-4889	251	1	i	i	PRON
cana-4889	251	2	m	m	VERB
cana-4889	251	3	e	e	NOUN
cana-4889	251	4	(	(	PUNCT
cana-4889	251	5	m	m	PROPN
cana-4889	251	6	s	s	PART
cana-4889	251	7	)	)	PUNCT
cana-4889	251	8	file	file	NOUN
cana-4889	251	9	size	size	NOUN
cana-4889	251	10	(	(	PUNCT
cana-4889	251	11	mb	mb	NOUN
cana-4889	251	12	)	)	PUNCT
cana-4889	251	13	ss	ss	PROPN
cana-4889	251	14	rsa	rsa	PROPN
cana-4889	251	15	paillier	paillier	PROPN
cana-4889	251	16	ess	ess	NOUN
cana-4889	251	17	communications	communication	NOUN
cana-4889	251	18	on	on	ADP
cana-4889	251	19	applied	apply	VERB
cana-4889	251	20	nonlinear	nonlinear	ADJ
cana-4889	251	21	analysis	analysis	NOUN
cana-4889	251	22	issn	issn	NOUN
cana-4889	251	23	:	:	PUNCT
cana-4889	251	24	1074	1074	NUM
cana-4889	251	25	-	-	PUNCT
cana-4889	251	26	133x	133x	NUM
cana-4889	251	27	vol	vol	NOUN
cana-4889	251	28	32	32	NUM
cana-4889	251	29	no	no	NOUN
cana-4889	251	30	.	.	NOUN
cana-4889	251	31	1	1	NUM
cana-4889	251	32	(	(	PUNCT
cana-4889	251	33	2025	2025	NUM
cana-4889	251	34	)	)	PUNCT
cana-4889	251	35	430	430	NUM
cana-4889	251	36	https://internationalpubls.com	https://internationalpubls.com	X
cana-4889	251	37	figure	figure	NOUN
cana-4889	251	38	5	5	NUM
cana-4889	251	39	:	:	PUNCT
cana-4889	251	40	decryption	decryption	NOUN
cana-4889	251	41	time	time	NOUN
cana-4889	251	42	for	for	ADP
cana-4889	251	43	single	single	ADJ
cana-4889	251	44	owner	owner	NOUN
cana-4889	251	45	cloud	cloud	PROPN
cana-4889	251	46	data	datum	NOUN
cana-4889	251	47	(	(	PUNCT
cana-4889	251	48	key	key	ADJ
cana-4889	251	49	size	size	NOUN
cana-4889	251	50	–	–	PUNCT
cana-4889	251	51	1024	1024	NUM
cana-4889	251	52	bits	bit	NOUN
cana-4889	251	53	)	)	PUNCT
cana-4889	251	54	performance	performance	NOUN
cana-4889	251	55	analysis	analysis	NOUN
cana-4889	251	56	variable	variable	ADJ
cana-4889	251	57	key	key	ADJ
cana-4889	251	58	size	size	NOUN
cana-4889	251	59	the	the	DET
cana-4889	251	60	performance	performance	NOUN
cana-4889	251	61	of	of	ADP
cana-4889	251	62	the	the	DET
cana-4889	251	63	enhanced	enhanced	ADJ
cana-4889	251	64	schmidt	schmidt	PROPN
cana-4889	251	65	samoa	samoa	PROPN
cana-4889	251	66	cryptosystem	cryptosystem	NOUN
cana-4889	251	67	has	have	AUX
cana-4889	251	68	been	be	AUX
cana-4889	251	69	further	far	ADV
cana-4889	251	70	analyzed	analyze	VERB
cana-4889	251	71	with	with	ADP
cana-4889	251	72	variable	variable	ADJ
cana-4889	251	73	key	key	ADJ
cana-4889	251	74	sizes	size	NOUN
cana-4889	251	75	.	.	PUNCT
cana-4889	252	1	table	table	NOUN
cana-4889	252	2	3	3	NUM
cana-4889	252	3	and	and	CCONJ
cana-4889	252	4	table	table	NOUN
cana-4889	252	5	4	4	NUM
cana-4889	252	6	shows	show	VERB
cana-4889	252	7	the	the	DET
cana-4889	252	8	key	key	ADJ
cana-4889	252	9	generation	generation	NOUN
cana-4889	252	10	time	time	NOUN
cana-4889	252	11	of	of	ADP
cana-4889	252	12	the	the	DET
cana-4889	252	13	schmidt	schmidt	PROPN
cana-4889	252	14	samoa	samoa	PROPN
cana-4889	252	15	cryptosystem	cryptosystem	NOUN
cana-4889	252	16	and	and	CCONJ
cana-4889	252	17	enhanced	enhance	VERB
cana-4889	252	18	schmidt	schmidt	PROPN
cana-4889	252	19	samoa	samoa	PROPN
cana-4889	252	20	cryptosystem	cryptosystem	NOUN
cana-4889	252	21	for	for	ADP
cana-4889	252	22	single	single	ADJ
cana-4889	252	23	owner	owner	NOUN
cana-4889	252	24	cloud	cloud	PROPN
cana-4889	252	25	data	data	PROPN
cana-4889	252	26	.	.	PUNCT
cana-4889	253	1	the	the	DET
cana-4889	253	2	public	public	ADJ
cana-4889	253	3	key	key	ADJ
cana-4889	253	4	&	&	CCONJ
cana-4889	253	5	private	private	ADJ
cana-4889	253	6	key	key	NOUN
cana-4889	253	7	are	be	AUX
cana-4889	253	8	calculated	calculate	VERB
cana-4889	253	9	for	for	ADP
cana-4889	253	10	different	different	ADJ
cana-4889	253	11	private	private	ADJ
cana-4889	253	12	key	key	ADJ
cana-4889	253	13	sizes	size	NOUN
cana-4889	253	14	of	of	ADP
cana-4889	253	15	4	4	NUM
cana-4889	253	16	,	,	PUNCT
cana-4889	253	17	8	8	NUM
cana-4889	253	18	,	,	PUNCT
cana-4889	253	19	12	12	NUM
cana-4889	253	20	,	,	PUNCT
cana-4889	253	21	16	16	NUM
cana-4889	253	22	,	,	PUNCT
cana-4889	253	23	24	24	NUM
cana-4889	253	24	,	,	PUNCT
cana-4889	253	25	and	and	CCONJ
cana-4889	253	26	32	32	NUM
cana-4889	253	27	bits	bit	NOUN
cana-4889	253	28	for	for	ADP
cana-4889	253	29	analysis	analysis	NOUN
cana-4889	253	30	.	.	PUNCT
cana-4889	254	1	table	table	NOUN
cana-4889	254	2	3	3	NUM
cana-4889	254	3	:	:	PUNCT
cana-4889	254	4	key	key	ADJ
cana-4889	254	5	generation	generation	NOUN
cana-4889	254	6	time	time	NOUN
cana-4889	254	7	in	in	ADP
cana-4889	254	8	ss	ss	NOUN
cana-4889	254	9	for	for	ADP
cana-4889	254	10	single	single	ADJ
cana-4889	254	11	owner	owner	NOUN
cana-4889	254	12	cloud	cloud	PROPN
cana-4889	254	13	data	data	PROPN
cana-4889	254	14	key	key	ADJ
cana-4889	254	15	size	size	NOUN
cana-4889	254	16	p	p	X
cana-4889	254	17	q	q	PROPN
cana-4889	254	18	pub	pub	NOUN
cana-4889	254	19	key	key	ADJ
cana-4889	254	20	prv	prv	PROPN
cana-4889	254	21	key	key	ADJ
cana-4889	254	22	key	key	ADJ
cana-4889	254	23	generation	generation	NOUN
cana-4889	254	24	time	time	NOUN
cana-4889	254	25	(	(	PUNCT
cana-4889	254	26	ms	ms	NOUN
cana-4889	254	27	)	)	PUNCT
cana-4889	254	28	4	4	NUM
cana-4889	254	29	3	3	NUM
cana-4889	254	30	11	11	NUM
cana-4889	254	31	99	99	NUM
cana-4889	254	32	9	9	NUM
cana-4889	254	33	8	8	NUM
cana-4889	254	34	8	8	NUM
cana-4889	254	35	17	17	NUM
cana-4889	254	36	19	19	NUM
cana-4889	254	37	5491	5491	NUM
cana-4889	254	38	91	91	NUM
cana-4889	254	39	19	19	NUM
cana-4889	254	40	12	12	NUM
cana-4889	254	41	59	59	NUM
cana-4889	254	42	71	71	NUM
cana-4889	254	43	247151	247151	NUM
cana-4889	254	44	169	169	NUM
cana-4889	254	45	32	32	NUM
cana-4889	254	46	16	16	NUM
cana-4889	254	47	257	257	NUM
cana-4889	254	48	349	349	NUM
cana-4889	254	49	2301101	2301101	NUM
cana-4889	254	50	19189	19189	NUM
cana-4889	254	51	47	47	NUM
cana-4889	254	52	24	24	NUM
cana-4889	254	53	13499	13499	NUM
cana-4889	254	54	13513	13513	NUM
cana-4889	254	55	1363151905	1363151905	NUM
cana-4889	254	56	10757113	10757113	NUM
cana-4889	254	57	68	68	NUM
cana-4889	254	58	32	32	NUM
cana-4889	254	59	73529	73529	NUM
cana-4889	254	60	73547	73547	NUM
cana-4889	254	61	506233051	506233051	NUM
cana-4889	254	62	1475417611	1475417611	NUM
cana-4889	254	63	94	94	NUM
cana-4889	255	1	the	the	DET
cana-4889	255	2	results	result	NOUN
cana-4889	255	3	reveal	reveal	VERB
cana-4889	255	4	that	that	SCONJ
cana-4889	255	5	,	,	PUNCT
cana-4889	255	6	due	due	ADP
cana-4889	255	7	to	to	ADP
cana-4889	255	8	the	the	DET
cana-4889	255	9	complicated	complicate	VERB
cana-4889	255	10	processes	process	NOUN
cana-4889	255	11	required	require	VERB
cana-4889	255	12	,	,	PUNCT
cana-4889	255	13	the	the	DET
cana-4889	255	14	calculation	calculation	NOUN
cana-4889	255	15	cost	cost	NOUN
cana-4889	255	16	of	of	ADP
cana-4889	255	17	enhanced	enhanced	ADJ
cana-4889	255	18	schmidt	schmidt	PROPN
cana-4889	255	19	samoa	samoa	PROPN
cana-4889	255	20	key	key	ADJ
cana-4889	255	21	generation	generation	NOUN
cana-4889	255	22	increases	increase	NOUN
cana-4889	255	23	as	as	SCONJ
cana-4889	255	24	the	the	DET
cana-4889	255	25	private	private	ADJ
cana-4889	255	26	key	key	ADJ
cana-4889	255	27	size	size	NOUN
cana-4889	255	28	grows	grow	VERB
cana-4889	255	29	when	when	SCONJ
cana-4889	255	30	compared	compare	VERB
cana-4889	255	31	to	to	ADP
cana-4889	255	32	schmidtsamoa	schmidtsamoa	PROPN
cana-4889	255	33	.	.	PUNCT
cana-4889	256	1	the	the	DET
cana-4889	256	2	ess	ess	PROPN
cana-4889	256	3	cryptosystem	cryptosystem	NOUN
cana-4889	256	4	employs	employ	VERB
cana-4889	256	5	four	four	NUM
cana-4889	256	6	huge	huge	ADJ
cana-4889	256	7	ordered	order	VERB
cana-4889	256	8	prime	prime	ADJ
cana-4889	256	9	numbers	number	NOUN
cana-4889	256	10	rather	rather	ADV
cana-4889	256	11	than	than	ADP
cana-4889	256	12	two	two	NUM
cana-4889	256	13	random	random	ADJ
cana-4889	256	14	prime	prime	ADJ
cana-4889	256	15	numbers	number	NOUN
cana-4889	256	16	,	,	PUNCT
cana-4889	256	17	lengthening	lengthen	VERB
cana-4889	256	18	the	the	DET
cana-4889	256	19	attack	attack	NOUN
cana-4889	256	20	time	time	NOUN
cana-4889	256	21	.	.	PUNCT
cana-4889	257	1	the	the	DET
cana-4889	257	2	calculation	calculation	NOUN
cana-4889	257	3	of	of	ADP
cana-4889	257	4	the	the	DET
cana-4889	257	5	private	private	ADJ
cana-4889	257	6	key	key	NOUN
cana-4889	257	7	'd	'd	NOUN
cana-4889	257	8	'	'	PUNCT
cana-4889	257	9	is	be	AUX
cana-4889	257	10	affected	affect	VERB
cana-4889	257	11	by	by	ADP
cana-4889	257	12	either	either	CCONJ
cana-4889	257	13	x	x	PUNCT
cana-4889	257	14	or	or	CCONJ
cana-4889	257	15	y.	y.	NOUN
cana-4889	257	16	as	as	ADP
cana-4889	257	17	a	a	DET
cana-4889	257	18	result	result	NOUN
cana-4889	257	19	,	,	PUNCT
cana-4889	257	20	calculating	calculate	VERB
cana-4889	257	21	'd	have	AUX
cana-4889	257	22	'	'	PUNCT
cana-4889	257	23	is	be	AUX
cana-4889	257	24	not	not	PART
cana-4889	257	25	straightforward	straightforward	ADJ
cana-4889	257	26	.	.	PUNCT
cana-4889	258	1	as	as	ADP
cana-4889	258	2	a	a	DET
cana-4889	258	3	result	result	NOUN
cana-4889	258	4	of	of	ADP
cana-4889	258	5	the	the	DET
cana-4889	258	6	prime	prime	ADJ
cana-4889	258	7	numbers	number	NOUN
cana-4889	258	8	,	,	PUNCT
cana-4889	258	9	the	the	DET
cana-4889	258	10	key	key	ADJ
cana-4889	258	11	generation	generation	NOUN
cana-4889	258	12	task	task	NOUN
cana-4889	258	13	includes	include	VERB
cana-4889	258	14	a	a	DET
cana-4889	258	15	decision	decision	NOUN
cana-4889	258	16	-	-	PUNCT
cana-4889	258	17	making	make	VERB
cana-4889	258	18	process	process	NOUN
cana-4889	258	19	,	,	PUNCT
cana-4889	258	20	which	which	PRON
cana-4889	258	21	takes	take	VERB
cana-4889	258	22	longer	long	ADV
cana-4889	258	23	than	than	ADP
cana-4889	258	24	schmidt	schmidt	NOUN
cana-4889	258	25	-	-	PUNCT
cana-4889	258	26	samoa	samoa	NOUN
cana-4889	258	27	.	.	PUNCT
cana-4889	259	1	keys	key	NOUN
cana-4889	259	2	will	will	AUX
cana-4889	259	3	be	be	AUX
cana-4889	259	4	produced	produce	VERB
cana-4889	259	5	just	just	ADV
cana-4889	259	6	once	once	ADV
cana-4889	259	7	for	for	ADP
cana-4889	259	8	secure	secure	ADJ
cana-4889	259	9	communication	communication	NOUN
cana-4889	259	10	and	and	CCONJ
cana-4889	259	11	0	0	NUM
cana-4889	259	12	2000	2000	NUM
cana-4889	259	13	4000	4000	NUM
cana-4889	259	14	6000	6000	NUM
cana-4889	259	15	8000	8000	NUM
cana-4889	259	16	10000	10000	NUM
cana-4889	259	17	12000	12000	NUM
cana-4889	259	18	14000	14000	NUM
cana-4889	259	19	16000	16000	NUM
cana-4889	259	20	18000	18000	NUM
cana-4889	259	21	20000	20000	NUM
cana-4889	259	22	256	256	NUM
cana-4889	259	23	512	512	NUM
cana-4889	259	24	1024	1024	NUM
cana-4889	259	25	2048	2048	NUM
cana-4889	259	26	4096	4096	NUM
cana-4889	259	27	8192	8192	NUM
cana-4889	259	28	16384	16384	NUM
cana-4889	259	29	d	d	X
cana-4889	259	30	e	e	X
cana-4889	259	31	c	c	NOUN
cana-4889	259	32	r	r	NOUN
cana-4889	259	33	ip	ip	NOUN
cana-4889	259	34	t	t	PROPN
cana-4889	259	35	io	io	NOUN
cana-4889	259	36	n	n	ADP
cana-4889	259	37	t	t	X
cana-4889	260	1	i	i	PRON
cana-4889	260	2	m	m	VERB
cana-4889	260	3	e	e	NOUN
cana-4889	260	4	(	(	PUNCT
cana-4889	260	5	m	m	PROPN
cana-4889	260	6	s	s	PART
cana-4889	260	7	)	)	PUNCT
cana-4889	260	8	file	file	NOUN
cana-4889	260	9	size	size	NOUN
cana-4889	260	10	(	(	PUNCT
cana-4889	260	11	mb	mb	NOUN
cana-4889	260	12	)	)	PUNCT
cana-4889	260	13	ss	ss	PROPN
cana-4889	260	14	rsa	rsa	PROPN
cana-4889	260	15	paillier	paillier	PROPN
cana-4889	260	16	ess	ess	NOUN
cana-4889	260	17	communications	communication	NOUN
cana-4889	260	18	on	on	ADP
cana-4889	260	19	applied	apply	VERB
cana-4889	260	20	nonlinear	nonlinear	ADJ
cana-4889	260	21	analysis	analysis	NOUN
cana-4889	260	22	issn	issn	NOUN
cana-4889	260	23	:	:	PUNCT
cana-4889	260	24	1074	1074	NUM
cana-4889	260	25	-	-	PUNCT
cana-4889	260	26	133x	133x	NUM
cana-4889	260	27	vol	vol	NOUN
cana-4889	260	28	32	32	NUM
cana-4889	260	29	no	no	NOUN
cana-4889	260	30	.	.	NOUN
cana-4889	260	31	1	1	NUM
cana-4889	260	32	(	(	PUNCT
cana-4889	260	33	2025	2025	NUM
cana-4889	260	34	)	)	PUNCT
cana-4889	260	35	431	431	NUM
cana-4889	260	36	https://internationalpubls.com	https://internationalpubls.com	X
cana-4889	260	37	resource	resource	NOUN
cana-4889	260	38	access	access	NOUN
cana-4889	260	39	and	and	CCONJ
cana-4889	260	40	then	then	ADV
cana-4889	260	41	used	use	VERB
cana-4889	260	42	for	for	ADP
cana-4889	260	43	encryption	encryption	NOUN
cana-4889	260	44	and	and	CCONJ
cana-4889	260	45	decryption	decryption	NOUN
cana-4889	260	46	as	as	ADV
cana-4889	260	47	many	many	ADJ
cana-4889	260	48	times	time	NOUN
cana-4889	260	49	as	as	ADV
cana-4889	260	50	feasible	feasible	ADJ
cana-4889	260	51	.	.	PUNCT
cana-4889	261	1	the	the	DET
cana-4889	261	2	longer	long	ADJ
cana-4889	261	3	key	key	ADJ
cana-4889	261	4	generation	generation	NOUN
cana-4889	261	5	period	period	NOUN
cana-4889	261	6	,	,	PUNCT
cana-4889	261	7	longer	long	ADV
cana-4889	261	8	the	the	DET
cana-4889	261	9	invaders	invader	NOUN
cana-4889	261	10	'	'	PART
cana-4889	261	11	time	time	NOUN
cana-4889	261	12	to	to	PART
cana-4889	261	13	breach	breach	VERB
cana-4889	261	14	the	the	DET
cana-4889	261	15	ess	ess	NOUN
cana-4889	261	16	cryptosystem	cryptosystem	NOUN
cana-4889	261	17	.	.	PUNCT
cana-4889	262	1	table	table	NOUN
cana-4889	262	2	4	4	NUM
cana-4889	262	3	key	key	ADJ
cana-4889	262	4	generation	generation	NOUN
cana-4889	262	5	time	time	NOUN
cana-4889	262	6	in	in	ADP
cana-4889	262	7	ess	ess	PROPN
cana-4889	262	8	for	for	ADP
cana-4889	262	9	single	single	ADJ
cana-4889	262	10	owner	owner	NOUN
cana-4889	262	11	cloud	cloud	PROPN
cana-4889	262	12	data	data	PROPN
cana-4889	262	13	key	key	ADJ
cana-4889	262	14	size	size	NOUN
cana-4889	262	15	p	p	NOUN
cana-4889	262	16	q	q	NOUN
cana-4889	262	17	r	r	NOUN
cana-4889	262	18	s	s	NOUN
cana-4889	262	19	pub	pub	NOUN
cana-4889	262	20	key	key	ADJ
cana-4889	262	21	prv	prv	PROPN
cana-4889	262	22	key	key	ADJ
cana-4889	262	23	key	key	ADJ
cana-4889	262	24	generation	generation	NOUN
cana-4889	262	25	time	time	NOUN
cana-4889	262	26	(	(	PUNCT
cana-4889	262	27	ms	ms	NOUN
cana-4889	262	28	)	)	PUNCT
cana-4889	262	29	4	4	NUM
cana-4889	262	30	17	17	NUM
cana-4889	262	31	19	19	NUM
cana-4889	262	32	23	23	NUM
cana-4889	262	33	37	37	NUM
cana-4889	262	34	133	133	NUM
cana-4889	262	35	13	13	NUM
cana-4889	262	36	12	12	NUM
cana-4889	262	37	8	8	NUM
cana-4889	262	38	19	19	NUM
cana-4889	262	39	23	23	NUM
cana-4889	262	40	29	29	NUM
cana-4889	262	41	31	31	NUM
cana-4889	262	42	157	157	NUM
cana-4889	262	43	169	169	NUM
cana-4889	262	44	29	29	NUM
cana-4889	262	45	12	12	NUM
cana-4889	262	46	101	101	NUM
cana-4889	262	47	103	103	NUM
cana-4889	262	48	107	107	NUM
cana-4889	262	49	109	109	NUM
cana-4889	262	50	2029	2029	NUM
cana-4889	262	51	1662	1662	NUM
cana-4889	262	52	48	48	NUM
cana-4889	262	53	16	16	NUM
cana-4889	262	54	367	367	NUM
cana-4889	262	55	379	379	NUM
cana-4889	262	56	389	389	NUM
cana-4889	262	57	401	401	NUM
cana-4889	262	58	4099	4099	NUM
cana-4889	262	59	8699	8699	NUM
cana-4889	262	60	68	68	NUM
cana-4889	262	61	24	24	NUM
cana-4889	262	62	9479	9479	NUM
cana-4889	262	63	9491	9491	NUM
cana-4889	262	64	9497	9497	NUM
cana-4889	262	65	9511	9511	NUM
cana-4889	262	66	11074867	11074867	NUM
cana-4889	262	67	10199203	10199203	NUM
cana-4889	262	68	98	98	NUM
cana-4889	262	69	32	32	NUM
cana-4889	262	70	73529	73529	NUM
cana-4889	262	71	73547	73547	NUM
cana-4889	262	72	73553	73553	NUM
cana-4889	262	73	73561	73561	NUM
cana-4889	262	74	2391448019	2391448019	NUM
cana-4889	262	75	1564100563	1564100563	NUM
cana-4889	262	76	3	3	NUM
cana-4889	262	77	124	124	NUM
cana-4889	262	78	table	table	NOUN
cana-4889	262	79	5	5	NUM
cana-4889	262	80	represents	represent	VERB
cana-4889	262	81	the	the	DET
cana-4889	262	82	encryption	encryption	NOUN
cana-4889	262	83	time	time	NOUN
cana-4889	262	84	and	and	CCONJ
cana-4889	262	85	decryption	decryption	NOUN
cana-4889	262	86	time	time	NOUN
cana-4889	262	87	for	for	ADP
cana-4889	262	88	schmidt	schmidt	PROPN
cana-4889	262	89	samoa	samoa	PROPN
cana-4889	262	90	and	and	CCONJ
cana-4889	262	91	enhanced	enhance	VERB
cana-4889	262	92	schmidt	schmidt	PROPN
cana-4889	262	93	samoa	samoa	PROPN
cana-4889	262	94	in	in	ADP
cana-4889	262	95	microseconds	microsecond	NOUN
cana-4889	262	96	for	for	ADP
cana-4889	262	97	single	single	ADJ
cana-4889	262	98	owner	owner	NOUN
cana-4889	262	99	cloud	cloud	PROPN
cana-4889	262	100	data	datum	NOUN
cana-4889	262	101	with	with	ADP
cana-4889	262	102	input	input	NOUN
cana-4889	262	103	file	file	NOUN
cana-4889	262	104	size	size	NOUN
cana-4889	262	105	is	be	AUX
cana-4889	262	106	64	64	NUM
cana-4889	262	107	kb	kb	NOUN
cana-4889	262	108	,	,	PUNCT
cana-4889	262	109	keys	key	NOUN
cana-4889	262	110	in	in	ADP
cana-4889	262	111	table	table	NOUN
cana-4889	262	112	3	3	NUM
cana-4889	262	113	&	&	CCONJ
cana-4889	262	114	table	table	NOUN
cana-4889	262	115	4	4	NUM
cana-4889	262	116	,	,	PUNCT
cana-4889	262	117	respectively	respectively	ADV
cana-4889	262	118	.	.	PUNCT
cana-4889	263	1	similarly	similarly	ADV
cana-4889	263	2	,	,	PUNCT
cana-4889	263	3	table	table	NOUN
cana-4889	263	4	6	6	NUM
cana-4889	263	5	provides	provide	VERB
cana-4889	263	6	a	a	DET
cana-4889	263	7	comparison	comparison	NOUN
cana-4889	263	8	with	with	ADP
cana-4889	263	9	128	128	NUM
cana-4889	263	10	kb	kb	PROPN
cana-4889	263	11	.	.	PUNCT
cana-4889	264	1	in	in	ADP
cana-4889	264	2	ss	ss	NOUN
cana-4889	264	3	,	,	PUNCT
cana-4889	264	4	encryption	encryption	NOUN
cana-4889	264	5	is	be	AUX
cana-4889	264	6	performed	perform	VERB
cana-4889	264	7	with	with	ADP
cana-4889	264	8	plaintext	plaintext	NOUN
cana-4889	264	9	&	&	CCONJ
cana-4889	264	10	public	public	ADJ
cana-4889	264	11	key	key	NOUN
cana-4889	264	12	.	.	PUNCT
cana-4889	265	1	thepublic	thepublic	ADJ
cana-4889	265	2	key	key	NOUN
cana-4889	265	3	is	be	AUX
cana-4889	265	4	computed	compute	VERB
cana-4889	265	5	by	by	ADP
cana-4889	265	6	multiplying	multiply	VERB
cana-4889	265	7	three	three	NUM
cana-4889	265	8	large	large	ADJ
cana-4889	265	9	prime	prime	ADJ
cana-4889	265	10	numbers	number	NOUN
cana-4889	265	11	.	.	PUNCT
cana-4889	266	1	the	the	DET
cana-4889	266	2	public	public	ADJ
cana-4889	266	3	key	key	NOUN
cana-4889	266	4	is	be	AUX
cana-4889	266	5	used	use	VERB
cana-4889	266	6	as	as	ADP
cana-4889	266	7	exponentiation	exponentiation	NOUN
cana-4889	266	8	and	and	CCONJ
cana-4889	266	9	modulus	modulus	NOUN
cana-4889	266	10	to	to	ADP
cana-4889	266	11	the	the	DET
cana-4889	266	12	plaintext	plaintext	NOUN
cana-4889	266	13	.	.	PUNCT
cana-4889	267	1	since	since	SCONJ
cana-4889	267	2	a	a	DET
cana-4889	267	3	large	large	ADJ
cana-4889	267	4	number	number	NOUN
cana-4889	267	5	has	have	AUX
cana-4889	267	6	been	be	AUX
cana-4889	267	7	used	use	VERB
cana-4889	267	8	as	as	ADP
cana-4889	267	9	exponentiation	exponentiation	NOUN
cana-4889	267	10	,	,	PUNCT
cana-4889	267	11	it	it	PRON
cana-4889	267	12	takes	take	VERB
cana-4889	267	13	more	more	ADJ
cana-4889	267	14	time	time	NOUN
cana-4889	267	15	to	to	PART
cana-4889	267	16	perform	perform	VERB
cana-4889	267	17	encryption	encryption	NOUN
cana-4889	267	18	.	.	PUNCT
cana-4889	268	1	in	in	ADP
cana-4889	268	2	ss	ss	NOUN
cana-4889	268	3	,	,	PUNCT
cana-4889	268	4	decryption	decryption	NOUN
cana-4889	268	5	is	be	AUX
cana-4889	268	6	performed	perform	VERB
cana-4889	268	7	with	with	ADP
cana-4889	268	8	ciphertext	ciphertext	NOUN
cana-4889	268	9	and	and	CCONJ
cana-4889	268	10	private	private	ADJ
cana-4889	268	11	keys	key	NOUN
cana-4889	268	12	.	.	PUNCT
cana-4889	269	1	the	the	DET
cana-4889	269	2	value	value	NOUN
cana-4889	269	3	of	of	ADP
cana-4889	269	4	‘	'	PUNCT
cana-4889	269	5	l	l	NOUN
cana-4889	269	6	’	'	PUNCT
cana-4889	269	7	is	be	AUX
cana-4889	269	8	computed	compute	VERB
cana-4889	269	9	by	by	ADP
cana-4889	269	10	taking	take	VERB
cana-4889	269	11	the	the	DET
cana-4889	269	12	least	least	ADJ
cana-4889	269	13	common	common	ADJ
cana-4889	269	14	multiplier	multipli	ADJ
cana-4889	269	15	between	between	ADP
cana-4889	269	16	two	two	NUM
cana-4889	269	17	large	large	ADJ
cana-4889	269	18	numbers	number	NOUN
cana-4889	269	19	.	.	PUNCT
cana-4889	270	1	the	the	DET
cana-4889	270	2	private	private	ADJ
cana-4889	270	3	key	key	NOUN
cana-4889	270	4	has	have	AUX
cana-4889	270	5	been	be	AUX
cana-4889	270	6	computed	compute	VERB
cana-4889	270	7	by	by	ADP
cana-4889	270	8	taking	take	VERB
cana-4889	270	9	the	the	DET
cana-4889	270	10	modular	modular	ADJ
cana-4889	270	11	inverse	inverse	NOUN
cana-4889	270	12	of	of	ADP
cana-4889	270	13	public	public	ADJ
cana-4889	270	14	key	key	NOUN
cana-4889	270	15	with	with	ADP
cana-4889	270	16	l	l	NOUN
cana-4889	270	17	as	as	ADP
cana-4889	270	18	the	the	DET
cana-4889	270	19	modulus	modulus	NOUN
cana-4889	270	20	.	.	PUNCT
cana-4889	271	1	the	the	DET
cana-4889	271	2	private	private	ADJ
cana-4889	271	3	key	key	NOUN
cana-4889	271	4	has	have	AUX
cana-4889	271	5	been	be	AUX
cana-4889	271	6	used	use	VERB
cana-4889	271	7	as	as	ADP
cana-4889	271	8	an	an	DET
cana-4889	271	9	exponentiation	exponentiation	NOUN
cana-4889	271	10	to	to	ADP
cana-4889	271	11	the	the	DET
cana-4889	271	12	ciphertext	ciphertext	NOUN
cana-4889	271	13	.	.	PUNCT
cana-4889	272	1	then	then	ADV
cana-4889	272	2	,	,	PUNCT
cana-4889	272	3	the	the	DET
cana-4889	272	4	result	result	NOUN
cana-4889	272	5	of	of	ADP
cana-4889	272	6	exponentiation	exponentiation	NOUN
cana-4889	272	7	is	be	AUX
cana-4889	272	8	taken	take	VERB
cana-4889	272	9	modulus	modulus	NOUN
cana-4889	272	10	with	with	ADP
cana-4889	272	11	the	the	DET
cana-4889	272	12	multiplication	multiplication	NOUN
cana-4889	272	13	value	value	NOUN
cana-4889	272	14	of	of	ADP
cana-4889	272	15	two	two	NUM
cana-4889	272	16	large	large	ADJ
cana-4889	272	17	prime	prime	ADJ
cana-4889	272	18	numbers	number	NOUN
cana-4889	272	19	.	.	PUNCT
cana-4889	273	1	compared	compare	VERB
cana-4889	273	2	to	to	ADP
cana-4889	273	3	encryption	encryption	NOUN
cana-4889	273	4	,	,	PUNCT
cana-4889	273	5	ss	ss	PRON
cana-4889	273	6	cryptosystem	cryptosystem	NOUN
cana-4889	273	7	performs	perform	VERB
cana-4889	273	8	faster	fast	ADJ
cana-4889	273	9	decryption	decryption	NOUN
cana-4889	273	10	.	.	PUNCT
cana-4889	274	1	the	the	DET
cana-4889	274	2	public	public	ADJ
cana-4889	274	3	key	key	NOUN
cana-4889	274	4	in	in	ADP
cana-4889	274	5	ess	ess	PROPN
cana-4889	274	6	key	key	ADJ
cana-4889	274	7	creation	creation	NOUN
cana-4889	274	8	based	base	VERB
cana-4889	274	9	on	on	ADP
cana-4889	274	10	four	four	NUM
cana-4889	274	11	big	big	ADJ
cana-4889	274	12	prime	prime	ADJ
cana-4889	274	13	integers	integer	NOUN
cana-4889	274	14	is	be	AUX
cana-4889	274	15	either	either	CCONJ
cana-4889	274	16	n	n	CCONJ
cana-4889	274	17	,	,	PUNCT
cana-4889	274	18	x	x	PUNCT
cana-4889	274	19	or	or	CCONJ
cana-4889	274	20	n	n	CCONJ
cana-4889	274	21	,	,	PUNCT
cana-4889	274	22	y.	y.	VERB
cana-4889	274	23	the	the	DET
cana-4889	274	24	values	value	NOUN
cana-4889	274	25	of	of	ADP
cana-4889	274	26	n	n	CCONJ
cana-4889	274	27	,	,	PUNCT
cana-4889	274	28	x	x	X
cana-4889	274	29	,	,	PUNCT
cana-4889	274	30	&	&	CCONJ
cana-4889	274	31	y	y	PROPN
cana-4889	274	32	are	be	AUX
cana-4889	274	33	obtained	obtain	VERB
cana-4889	274	34	by	by	ADP
cana-4889	274	35	utilising	utilise	VERB
cana-4889	274	36	a	a	PRON
cana-4889	274	37	least	least	ADV
cana-4889	274	38	common	common	ADJ
cana-4889	274	39	multiplier	multipli	ADJ
cana-4889	274	40	,	,	PUNCT
cana-4889	274	41	modular	modular	ADJ
cana-4889	274	42	inverse	inverse	NOUN
cana-4889	274	43	,	,	PUNCT
cana-4889	274	44	or	or	CCONJ
cana-4889	274	45	multiplication	multiplication	NOUN
cana-4889	274	46	operations	operation	NOUN
cana-4889	274	47	,	,	PUNCT
cana-4889	274	48	which	which	PRON
cana-4889	274	49	is	be	AUX
cana-4889	274	50	a	a	DET
cana-4889	274	51	small	small	ADJ
cana-4889	274	52	number	number	NOUN
cana-4889	274	53	when	when	SCONJ
cana-4889	274	54	compared	compare	VERB
cana-4889	274	55	to	to	ADP
cana-4889	274	56	public	public	ADJ
cana-4889	274	57	key	key	NOUN
cana-4889	274	58	of	of	ADP
cana-4889	274	59	ss	ss	PROPN
cana-4889	274	60	method	method	NOUN
cana-4889	274	61	.	.	PUNCT
cana-4889	275	1	the	the	DET
cana-4889	275	2	public	public	ADJ
cana-4889	275	3	key	key	NOUN
cana-4889	275	4	'	'	CCONJ
cana-4889	275	5	n	n	CCONJ
cana-4889	275	6	'	'	PUNCT
cana-4889	275	7	was	be	AUX
cana-4889	275	8	used	use	VERB
cana-4889	275	9	to	to	PART
cana-4889	275	10	exponentiate	exponentiate	VERB
cana-4889	275	11	plaintext	plaintext	NOUN
cana-4889	275	12	.	.	PUNCT
cana-4889	276	1	the	the	DET
cana-4889	276	2	public	public	ADJ
cana-4889	276	3	key	key	ADJ
cana-4889	276	4	'	'	PUNCT
cana-4889	276	5	x	x	NOUN
cana-4889	276	6	'	'	PUNCT
cana-4889	276	7	or	or	CCONJ
cana-4889	276	8	'	'	PUNCT
cana-4889	276	9	y	y	NOUN
cana-4889	276	10	'	'	PUNCT
cana-4889	276	11	is	be	AUX
cana-4889	276	12	then	then	ADV
cana-4889	276	13	used	use	VERB
cana-4889	276	14	to	to	PART
cana-4889	276	15	perform	perform	VERB
cana-4889	276	16	modulus	modulus	NOUN
cana-4889	276	17	on	on	ADP
cana-4889	276	18	the	the	DET
cana-4889	276	19	exponentiation	exponentiation	NOUN
cana-4889	276	20	result	result	NOUN
cana-4889	276	21	.	.	PUNCT
cana-4889	277	1	ess	ess	NOUN
cana-4889	277	2	delivers	deliver	VERB
cana-4889	277	3	quicker	quick	ADJ
cana-4889	277	4	encryption	encryption	NOUN
cana-4889	277	5	than	than	ADP
cana-4889	277	6	ss	ss	INTJ
cana-4889	277	7	since	since	SCONJ
cana-4889	277	8	the	the	DET
cana-4889	277	9	public	public	ADJ
cana-4889	277	10	key	key	ADJ
cana-4889	277	11	values	value	NOUN
cana-4889	277	12	are	be	AUX
cana-4889	277	13	not	not	PART
cana-4889	277	14	as	as	ADV
cana-4889	277	15	big	big	ADJ
cana-4889	277	16	.	.	PUNCT
cana-4889	278	1	in	in	ADP
cana-4889	278	2	ess	ess	PROPN
cana-4889	278	3	,	,	PUNCT
cana-4889	278	4	public	public	ADJ
cana-4889	278	5	key	key	ADJ
cana-4889	278	6	‘	'	PUNCT
cana-4889	278	7	x	x	NOUN
cana-4889	278	8	’	'	PUNCT
cana-4889	278	9	or	or	CCONJ
cana-4889	278	10	‘	'	PUNCT
cana-4889	278	11	y	y	NOUN
cana-4889	278	12	’	'	PUNCT
cana-4889	278	13	,	,	PUNCT
cana-4889	278	14	private	private	ADJ
cana-4889	278	15	key	key	ADJ
cana-4889	278	16	‘	'	PUNCT
cana-4889	278	17	d	d	NOUN
cana-4889	278	18	’	'	PUNCT
cana-4889	278	19	,	,	PUNCT
cana-4889	278	20	and	and	CCONJ
cana-4889	278	21	ciphertext	ciphertext	NOUN
cana-4889	278	22	are	be	AUX
cana-4889	278	23	used	use	VERB
cana-4889	278	24	for	for	ADP
cana-4889	278	25	decryption	decryption	NOUN
cana-4889	278	26	.	.	PUNCT
cana-4889	279	1	the	the	DET
cana-4889	279	2	value	value	NOUN
cana-4889	279	3	of	of	ADP
cana-4889	279	4	‘	'	PUNCT
cana-4889	279	5	l	l	NOUN
cana-4889	279	6	’	'	PUNCT
cana-4889	279	7	has	have	AUX
cana-4889	279	8	been	be	AUX
cana-4889	279	9	computed	compute	VERB
cana-4889	279	10	by	by	ADP
cana-4889	279	11	taking	take	VERB
cana-4889	279	12	the	the	DET
cana-4889	279	13	least	least	ADJ
cana-4889	279	14	common	common	ADJ
cana-4889	279	15	multiplier	multipli	ADJ
cana-4889	279	16	between	between	ADP
cana-4889	279	17	two	two	NUM
cana-4889	279	18	large	large	ADJ
cana-4889	279	19	numbers	number	NOUN
cana-4889	279	20	.	.	PUNCT
cana-4889	280	1	the	the	DET
cana-4889	280	2	value	value	NOUN
cana-4889	280	3	of	of	ADP
cana-4889	280	4	‘	'	PUNCT
cana-4889	280	5	m	m	X
cana-4889	280	6	’	'	PUNCT
cana-4889	280	7	has	have	AUX
cana-4889	280	8	been	be	AUX
cana-4889	280	9	computed	compute	VERB
cana-4889	280	10	by	by	ADP
cana-4889	280	11	taking	take	VERB
cana-4889	280	12	the	the	DET
cana-4889	280	13	least	least	ADJ
cana-4889	280	14	common	common	ADJ
cana-4889	280	15	multiplier	multiplier	ADV
cana-4889	280	16	between	between	ADP
cana-4889	280	17	another	another	DET
cana-4889	280	18	two	two	NUM
cana-4889	280	19	large	large	ADJ
cana-4889	280	20	numbers	number	NOUN
cana-4889	280	21	.	.	PUNCT
cana-4889	281	1	the	the	DET
cana-4889	281	2	private	private	ADJ
cana-4889	281	3	key	key	ADJ
cana-4889	281	4	‘	'	PUNCT
cana-4889	281	5	d	d	NOUN
cana-4889	281	6	’	'	PUNCT
cana-4889	281	7	has	have	AUX
cana-4889	281	8	been	be	AUX
cana-4889	281	9	computed	compute	VERB
cana-4889	281	10	by	by	ADP
cana-4889	281	11	taking	take	VERB
cana-4889	281	12	the	the	DET
cana-4889	281	13	modular	modular	ADJ
cana-4889	281	14	inverse	inverse	NOUN
cana-4889	281	15	of	of	ADP
cana-4889	281	16	public	public	ADJ
cana-4889	281	17	key	key	ADJ
cana-4889	281	18	‘	'	PUNCT
cana-4889	281	19	n	n	CCONJ
cana-4889	281	20	’	'	PUNCT
cana-4889	281	21	over	over	ADP
cana-4889	281	22	‘	'	PUNCT
cana-4889	281	23	l	l	NOUN
cana-4889	281	24	’	'	PUNCT
cana-4889	281	25	or	or	CCONJ
cana-4889	281	26	‘	'	PUNCT
cana-4889	281	27	m	m	NOUN
cana-4889	281	28	’	'	PUNCT
cana-4889	281	29	.	.	PUNCT
cana-4889	282	1	private	private	ADJ
cana-4889	282	2	key	key	ADJ
cana-4889	282	3	‘	'	PUNCT
cana-4889	282	4	d	d	NOUN
cana-4889	282	5	’	'	PUNCT
cana-4889	282	6	is	be	AUX
cana-4889	282	7	used	use	VERB
cana-4889	282	8	as	as	ADP
cana-4889	282	9	exponentiation	exponentiation	NOUN
cana-4889	282	10	to	to	ADP
cana-4889	282	11	the	the	DET
cana-4889	282	12	ciphertext	ciphertext	NOUN
cana-4889	282	13	.	.	PUNCT
cana-4889	283	1	then	then	ADV
cana-4889	283	2	,	,	PUNCT
cana-4889	283	3	the	the	DET
cana-4889	283	4	result	result	NOUN
cana-4889	283	5	of	of	ADP
cana-4889	283	6	exponentiation	exponentiation	NOUN
cana-4889	283	7	is	be	AUX
cana-4889	283	8	taken	take	VERB
cana-4889	283	9	modulus	modulus	NOUN
cana-4889	283	10	with	with	ADP
cana-4889	283	11	public	public	ADJ
cana-4889	283	12	key	key	ADJ
cana-4889	283	13	‘	'	PUNCT
cana-4889	283	14	x	x	NOUN
cana-4889	283	15	’	'	PUNCT
cana-4889	283	16	or	or	CCONJ
cana-4889	283	17	‘	'	PUNCT
cana-4889	283	18	y	y	NOUN
cana-4889	283	19	’	'	PUNCT
cana-4889	283	20	.	.	PUNCT
cana-4889	284	1	since	since	SCONJ
cana-4889	284	2	the	the	DET
cana-4889	284	3	value	value	NOUN
cana-4889	284	4	of	of	ADP
cana-4889	284	5	private	private	ADJ
cana-4889	284	6	key	key	ADJ
cana-4889	284	7	‘	'	PUNCT
cana-4889	284	8	d	d	NOUN
cana-4889	284	9	’	'	PUNCT
cana-4889	284	10	&	&	CCONJ
cana-4889	284	11	public	public	ADJ
cana-4889	284	12	key	key	ADJ
cana-4889	284	13	‘	'	PUNCT
cana-4889	284	14	x	x	NOUN
cana-4889	284	15	’	'	PUNCT
cana-4889	284	16	or	or	CCONJ
cana-4889	284	17	‘	'	PUNCT
cana-4889	284	18	y	y	NOUN
cana-4889	284	19	’	'	PUNCT
cana-4889	284	20	is	be	AUX
cana-4889	284	21	small	small	ADJ
cana-4889	284	22	compared	compare	VERB
cana-4889	284	23	to	to	ADP
cana-4889	284	24	ss	ss	PROPN
cana-4889	284	25	,	,	PUNCT
cana-4889	284	26	ess	ess	PROPN
cana-4889	284	27	performs	perform	VERB
cana-4889	284	28	faster	fast	ADJ
cana-4889	284	29	decryption	decryption	NOUN
cana-4889	284	30	compared	compare	VERB
cana-4889	284	31	to	to	ADP
cana-4889	284	32	ss	ss	PROPN
cana-4889	284	33	.	.	PUNCT
cana-4889	285	1	communications	communication	NOUN
cana-4889	285	2	on	on	ADP
cana-4889	285	3	applied	apply	VERB
cana-4889	285	4	nonlinear	nonlinear	ADJ
cana-4889	285	5	analysis	analysis	NOUN
cana-4889	285	6	issn	issn	NOUN
cana-4889	285	7	:	:	PUNCT
cana-4889	285	8	1074	1074	NUM
cana-4889	285	9	-	-	PUNCT
cana-4889	285	10	133x	133x	NUM
cana-4889	285	11	vol	vol	NOUN
cana-4889	285	12	32	32	NUM
cana-4889	285	13	no	no	NOUN
cana-4889	285	14	.	.	NOUN
cana-4889	285	15	1	1	NUM
cana-4889	285	16	(	(	PUNCT
cana-4889	285	17	2025	2025	NUM
cana-4889	285	18	)	)	PUNCT
cana-4889	286	1	432	432	NUM
cana-4889	286	2	https://internationalpubls.com	https://internationalpubls.com	X
cana-4889	286	3	ess	ess	PROPN
cana-4889	286	4	has	have	VERB
cana-4889	286	5	a	a	DET
cana-4889	286	6	smaller	small	ADJ
cana-4889	286	7	public	public	ADJ
cana-4889	286	8	and	and	CCONJ
cana-4889	286	9	private	private	ADJ
cana-4889	286	10	key	key	ADJ
cana-4889	286	11	size	size	NOUN
cana-4889	286	12	than	than	ADP
cana-4889	286	13	ss	ss	PROPN
cana-4889	286	14	.	.	PUNCT
cana-4889	287	1	as	as	ADP
cana-4889	287	2	a	a	DET
cana-4889	287	3	result	result	NOUN
cana-4889	287	4	of	of	ADP
cana-4889	287	5	the	the	DET
cana-4889	287	6	key	key	ADJ
cana-4889	287	7	size	size	NOUN
cana-4889	287	8	utilized	utilize	VERB
cana-4889	287	9	in	in	ADP
cana-4889	287	10	encryption	encryption	NOUN
cana-4889	287	11	and	and	CCONJ
cana-4889	287	12	decryption	decryption	NOUN
cana-4889	287	13	techniques	technique	NOUN
cana-4889	287	14	,	,	PUNCT
cana-4889	287	15	the	the	DET
cana-4889	287	16	computing	computing	NOUN
cana-4889	287	17	cost	cost	NOUN
cana-4889	287	18	of	of	ADP
cana-4889	287	19	ess	ess	PROPN
cana-4889	287	20	is	be	AUX
cana-4889	287	21	lower	low	ADJ
cana-4889	287	22	than	than	ADP
cana-4889	287	23	that	that	PRON
cana-4889	287	24	of	of	ADP
cana-4889	287	25	ss	ss	PROPN
cana-4889	287	26	.	.	PUNCT
cana-4889	288	1	according	accord	VERB
cana-4889	288	2	to	to	ADP
cana-4889	288	3	this	this	DET
cana-4889	288	4	performance	performance	NOUN
cana-4889	288	5	analysis	analysis	NOUN
cana-4889	288	6	,	,	PUNCT
cana-4889	288	7	when	when	SCONJ
cana-4889	288	8	the	the	DET
cana-4889	288	9	private	private	ADJ
cana-4889	288	10	key	key	ADJ
cana-4889	288	11	size	size	NOUN
cana-4889	288	12	increases	increase	NOUN
cana-4889	288	13	,	,	PUNCT
cana-4889	288	14	the	the	DET
cana-4889	288	15	ess	ess	NOUN
cana-4889	288	16	encryption	encryption	NOUN
cana-4889	288	17	and&decryption	and&decryption	NOUN
cana-4889	288	18	execution	execution	NOUN
cana-4889	288	19	time	time	NOUN
cana-4889	288	20	for	for	ADP
cana-4889	288	21	single	single	ADJ
cana-4889	288	22	owner	owner	NOUN
cana-4889	288	23	cloud	cloud	NOUN
cana-4889	288	24	data	datum	NOUN
cana-4889	288	25	will	will	AUX
cana-4889	288	26	be	be	AUX
cana-4889	288	27	smaller	small	ADJ
cana-4889	288	28	than	than	ADP
cana-4889	288	29	the	the	DET
cana-4889	288	30	ss	ss	NOUN
cana-4889	288	31	encryption	encryption	NOUN
cana-4889	288	32	and	and	CCONJ
cana-4889	288	33	decryption	decryption	NOUN
cana-4889	288	34	execution	execution	NOUN
cana-4889	288	35	time	time	NOUN
cana-4889	288	36	.	.	PUNCT
cana-4889	289	1	then	then	ADV
cana-4889	289	2	,	,	PUNCT
cana-4889	289	3	the	the	DET
cana-4889	289	4	comparative	comparative	ADJ
cana-4889	289	5	analysis	analysis	NOUN
cana-4889	289	6	has	have	AUX
cana-4889	289	7	been	be	AUX
cana-4889	289	8	performed	perform	VERB
cana-4889	289	9	with	with	ADP
cana-4889	289	10	fixed	fix	VERB
cana-4889	289	11	file	file	NOUN
cana-4889	289	12	size	size	NOUN
cana-4889	289	13	and	and	CCONJ
cana-4889	289	14	variable	variable	ADJ
cana-4889	289	15	key	key	ADJ
cana-4889	289	16	sizes	size	NOUN
cana-4889	289	17	among	among	ADP
cana-4889	289	18	schmidt	schmidt	PROPN
cana-4889	289	19	samoa	samoa	PROPN
cana-4889	289	20	,	,	PUNCT
cana-4889	289	21	rsa	rsa	PROPN
cana-4889	289	22	,	,	PUNCT
cana-4889	289	23	paillier	paillier	NOUN
cana-4889	289	24	,	,	PUNCT
cana-4889	289	25	and	and	CCONJ
cana-4889	289	26	enhanced	enhance	VERB
cana-4889	289	27	schmidt	schmidt	PROPN
cana-4889	289	28	samoa	samoa	PROPN
cana-4889	289	29	cryptosystems	cryptosystems	PROPN
cana-4889	289	30	.	.	PUNCT
cana-4889	290	1	figure	figure	NOUN
cana-4889	290	2	6	6	NUM
cana-4889	290	3	and	and	CCONJ
cana-4889	290	4	7	7	NUM
cana-4889	290	5	show	show	NOUN
cana-4889	290	6	schmidt	schmidt	PROPN
cana-4889	290	7	samoa	samoa	PROPN
cana-4889	290	8	,	,	PUNCT
cana-4889	290	9	rsa	rsa	PROPN
cana-4889	290	10	,	,	PUNCT
cana-4889	290	11	paillier	paillier	NOUN
cana-4889	290	12	,	,	PUNCT
cana-4889	290	13	and	and	CCONJ
cana-4889	290	14	enhanced	enhance	VERB
cana-4889	290	15	schmidt	schmidt	PROPN
cana-4889	290	16	samoa	samoa	PROPN
cana-4889	290	17	cryptosystems	cryptosystem	NOUN
cana-4889	290	18	performance	performance	NOUN
cana-4889	290	19	related	relate	VERB
cana-4889	290	20	to	to	ADP
cana-4889	290	21	computation	computation	NOUN
cana-4889	290	22	costs	cost	NOUN
cana-4889	290	23	of	of	ADP
cana-4889	290	24	encryption	encryption	NOUN
cana-4889	290	25	and	and	CCONJ
cana-4889	290	26	decryption	decryption	NOUN
cana-4889	290	27	for	for	ADP
cana-4889	290	28	variable	variable	ADJ
cana-4889	290	29	key	key	ADJ
cana-4889	290	30	sizes	size	NOUN
cana-4889	290	31	and	and	CCONJ
cana-4889	290	32	fixed	fix	VERB
cana-4889	290	33	file	file	NOUN
cana-4889	290	34	size	size	NOUN
cana-4889	290	35	of	of	ADP
cana-4889	290	36	3	3	NUM
cana-4889	290	37	gb	gb	NOUN
cana-4889	290	38	.	.	PUNCT
cana-4889	291	1	the	the	DET
cana-4889	291	2	results	result	NOUN
cana-4889	291	3	show	show	VERB
cana-4889	291	4	that	that	SCONJ
cana-4889	291	5	ess	ess	PROPN
cana-4889	291	6	performs	perform	VERB
cana-4889	291	7	faster	fast	ADV
cana-4889	291	8	compared	compare	VERB
cana-4889	291	9	to	to	ADP
cana-4889	291	10	schmidt	schmidt	PROPN
cana-4889	291	11	samoa	samoa	PROPN
cana-4889	291	12	,	,	PUNCT
cana-4889	291	13	rsa	rsa	PROPN
cana-4889	291	14	,	,	PUNCT
cana-4889	291	15	and	and	CCONJ
cana-4889	291	16	paillier	paillier	ADJ
cana-4889	291	17	cryptosystems	cryptosystem	NOUN
cana-4889	291	18	.	.	PUNCT
cana-4889	292	1	table	table	NOUN
cana-4889	292	2	5	5	NUM
cana-4889	292	3	:	:	PUNCT
cana-4889	292	4	encryption	encryption	NOUN
cana-4889	292	5	and	and	CCONJ
cana-4889	292	6	decryption	decryption	NOUN
cana-4889	292	7	time	time	NOUN
cana-4889	292	8	of	of	ADP
cana-4889	292	9	ss	ss	NOUN
cana-4889	292	10	and	and	CCONJ
cana-4889	292	11	ess	ess	NOUN
cana-4889	292	12	for	for	ADP
cana-4889	292	13	single	single	ADJ
cana-4889	292	14	owner	owner	NOUN
cana-4889	292	15	cloud	cloud	PROPN
cana-4889	292	16	data	datum	NOUN
cana-4889	292	17	with	with	ADP
cana-4889	292	18	the	the	DET
cana-4889	292	19	file	file	NOUN
cana-4889	292	20	size	size	NOUN
cana-4889	292	21	64	64	NUM
cana-4889	292	22	kb	kb	PROPN
cana-4889	292	23	key	key	ADJ
cana-4889	292	24	size	size	NOUN
cana-4889	292	25	ss	ss	NOUN
cana-4889	292	26	for	for	ADP
cana-4889	292	27	variable	variable	ADJ
cana-4889	292	28	keysize	keysize	NOUN
cana-4889	292	29	and	and	CCONJ
cana-4889	292	30	file	file	NOUN
cana-4889	292	31	size	size	NOUN
cana-4889	292	32	64	64	NUM
cana-4889	292	33	kb	kb	PROPN
cana-4889	292	34	ess	ess	PROPN
cana-4889	292	35	for	for	ADP
cana-4889	292	36	variable	variable	ADJ
cana-4889	292	37	keysize	keysize	NOUN
cana-4889	292	38	and	and	CCONJ
cana-4889	292	39	file	file	NOUN
cana-4889	292	40	size	size	NOUN
cana-4889	292	41	64	64	NUM
cana-4889	292	42	kb	kb	PROPN
cana-4889	292	43	encryption	encryption	NOUN
cana-4889	292	44	time	time	NOUN
cana-4889	292	45	(	(	PUNCT
cana-4889	292	46	µs	µs	NOUN
cana-4889	292	47	)	)	PUNCT
cana-4889	292	48	decryption	decryption	NOUN
cana-4889	292	49	time	time	NOUN
cana-4889	292	50	(	(	PUNCT
cana-4889	292	51	µs	µs	NOUN
cana-4889	292	52	)	)	PUNCT
cana-4889	292	53	encryption	encryption	NOUN
cana-4889	292	54	time	time	NOUN
cana-4889	292	55	(	(	PUNCT
cana-4889	292	56	µs	µs	NOUN
cana-4889	292	57	)	)	PUNCT
cana-4889	292	58	decryption	decryption	NOUN
cana-4889	292	59	time	time	NOUN
cana-4889	292	60	(	(	PUNCT
cana-4889	292	61	µs	µs	NOUN
cana-4889	292	62	)	)	PUNCT
cana-4889	292	63	4	4	NUM
cana-4889	292	64	1248	1248	NUM
cana-4889	292	65	466	466	NUM
cana-4889	292	66	535	535	NUM
cana-4889	292	67	188	188	NUM
cana-4889	292	68	8	8	NUM
cana-4889	292	69	3549	3549	NUM
cana-4889	292	70	1266	1266	NUM
cana-4889	292	71	530	530	NUM
cana-4889	292	72	203	203	NUM
cana-4889	292	73	12	12	NUM
cana-4889	292	74	6906	6906	NUM
cana-4889	292	75	1704	1704	NUM
cana-4889	292	76	577	577	NUM
cana-4889	292	77	234	234	NUM
cana-4889	292	78	16	16	NUM
cana-4889	292	79	9011	9011	NUM
cana-4889	292	80	6597	6597	NUM
cana-4889	292	81	577	577	NUM
cana-4889	292	82	250	250	NUM
cana-4889	292	83	24	24	NUM
cana-4889	292	84	85645	85645	NUM
cana-4889	292	85	9587	9587	NUM
cana-4889	292	86	748	748	NUM
cana-4889	292	87	358	358	NUM
cana-4889	292	88	32	32	NUM
cana-4889	292	89	102256	102256	NUM
cana-4889	292	90	23544	23544	NUM
cana-4889	292	91	1090	1090	NUM
cana-4889	292	92	732	732	NUM
cana-4889	292	93	table	table	NOUN
cana-4889	292	94	6	6	NUM
cana-4889	292	95	:	:	PUNCT
cana-4889	292	96	encryption	encryption	NOUN
cana-4889	292	97	and	and	CCONJ
cana-4889	292	98	decryption	decryption	NOUN
cana-4889	292	99	time	time	NOUN
cana-4889	292	100	of	of	ADP
cana-4889	292	101	ss	ss	NOUN
cana-4889	292	102	and	and	CCONJ
cana-4889	292	103	ess	ess	NOUN
cana-4889	292	104	for	for	ADP
cana-4889	292	105	single	single	ADJ
cana-4889	292	106	owner	owner	NOUN
cana-4889	292	107	cloud	cloud	PROPN
cana-4889	292	108	data	datum	NOUN
cana-4889	292	109	with	with	ADP
cana-4889	292	110	file	file	NOUN
cana-4889	292	111	size	size	NOUN
cana-4889	292	112	128	128	NUM
cana-4889	292	113	kb	kb	PROPN
cana-4889	292	114	key	key	ADJ
cana-4889	292	115	size	size	NOUN
cana-4889	292	116	ss	ss	NOUN
cana-4889	292	117	for	for	ADP
cana-4889	292	118	variable	variable	ADJ
cana-4889	292	119	key	key	ADJ
cana-4889	292	120	size	size	NOUN
cana-4889	292	121	and	and	CCONJ
cana-4889	292	122	file	file	NOUN
cana-4889	292	123	size	size	NOUN
cana-4889	292	124	128	128	NUM
cana-4889	292	125	kb	kb	PROPN
cana-4889	292	126	ess	ess	PROPN
cana-4889	292	127	for	for	ADP
cana-4889	292	128	variable	variable	ADJ
cana-4889	292	129	key	key	ADJ
cana-4889	292	130	size	size	NOUN
cana-4889	292	131	and	and	CCONJ
cana-4889	292	132	file	file	NOUN
cana-4889	292	133	size	size	NOUN
cana-4889	292	134	128	128	NUM
cana-4889	292	135	kb	kb	PROPN
cana-4889	292	136	encryption	encryption	NOUN
cana-4889	292	137	time	time	NOUN
cana-4889	292	138	(	(	PUNCT
cana-4889	292	139	µs	µs	NOUN
cana-4889	292	140	)	)	PUNCT
cana-4889	292	141	decryption	decryption	NOUN
cana-4889	292	142	time	time	NOUN
cana-4889	292	143	(	(	PUNCT
cana-4889	292	144	µs	µs	NOUN
cana-4889	292	145	)	)	PUNCT
cana-4889	292	146	encryption	encryption	NOUN
cana-4889	292	147	time	time	NOUN
cana-4889	292	148	(	(	PUNCT
cana-4889	292	149	µs	µs	NOUN
cana-4889	292	150	)	)	PUNCT
cana-4889	292	151	decryption	decryption	NOUN
cana-4889	292	152	time	time	NOUN
cana-4889	292	153	(	(	PUNCT
cana-4889	292	154	µs	µs	NOUN
cana-4889	292	155	)	)	PUNCT
cana-4889	292	156	4	4	NUM
cana-4889	292	157	1922	1922	NUM
cana-4889	292	158	2236	2236	NUM
cana-4889	292	159	1023	1023	NUM
cana-4889	292	160	304	304	NUM
cana-4889	292	161	8	8	NUM
cana-4889	292	162	3078	3078	NUM
cana-4889	292	163	3596	3596	NUM
cana-4889	292	164	1099	1099	NUM
cana-4889	292	165	406	406	NUM
cana-4889	292	166	12	12	NUM
cana-4889	292	167	6786	6786	NUM
cana-4889	292	168	7546	7546	NUM
cana-4889	292	169	1132	1132	NUM
cana-4889	292	170	480	480	NUM
cana-4889	292	171	16	16	NUM
cana-4889	292	172	9487	9487	NUM
cana-4889	292	173	9663	9663	NUM
cana-4889	292	174	1107	1107	NUM
cana-4889	292	175	511	511	NUM
cana-4889	292	176	communications	communication	NOUN
cana-4889	292	177	on	on	ADP
cana-4889	292	178	applied	apply	VERB
cana-4889	292	179	nonlinear	nonlinear	ADJ
cana-4889	292	180	analysis	analysis	NOUN
cana-4889	292	181	issn	issn	NOUN
cana-4889	292	182	:	:	PUNCT
cana-4889	292	183	1074	1074	NUM
cana-4889	292	184	-	-	PUNCT
cana-4889	292	185	133x	133x	NUM
cana-4889	292	186	vol	vol	NOUN
cana-4889	292	187	32	32	NUM
cana-4889	292	188	no	no	NOUN
cana-4889	292	189	.	.	NOUN
cana-4889	292	190	1	1	NUM
cana-4889	292	191	(	(	PUNCT
cana-4889	292	192	2025	2025	NUM
cana-4889	292	193	)	)	PUNCT
cana-4889	293	1	433	433	NUM
cana-4889	293	2	https://internationalpubls.com	https://internationalpubls.com	X
cana-4889	293	3	24	24	NUM
cana-4889	293	4	15789	15789	NUM
cana-4889	293	5	16544	16544	NUM
cana-4889	293	6	1340	1340	NUM
cana-4889	293	7	707	707	NUM
cana-4889	293	8	32	32	NUM
cana-4889	293	9	22478	22478	NUM
cana-4889	293	10	26542	26542	NUM
cana-4889	293	11	2088	2088	NUM
cana-4889	293	12	1458	1458	NUM
cana-4889	293	13	figure	figure	NOUN
cana-4889	293	14	6	6	NUM
cana-4889	293	15	:	:	PUNCT
cana-4889	293	16	encryption	encryption	NOUN
cana-4889	293	17	time	time	NOUN
cana-4889	293	18	for	for	ADP
cana-4889	293	19	single	single	ADJ
cana-4889	293	20	owner	owner	NOUN
cana-4889	293	21	cloud	cloud	PROPN
cana-4889	293	22	data	datum	NOUN
cana-4889	293	23	(	(	PUNCT
cana-4889	293	24	file	file	NOUN
cana-4889	293	25	size	size	NOUN
cana-4889	293	26	3	3	NUM
cana-4889	293	27	gb	gb	NOUN
cana-4889	293	28	)	)	PUNCT
cana-4889	293	29	figure	figure	VERB
cana-4889	293	30	7	7	NUM
cana-4889	293	31	decryption	decryption	NOUN
cana-4889	293	32	time	time	NOUN
cana-4889	293	33	for	for	ADP
cana-4889	293	34	single	single	ADJ
cana-4889	293	35	owner	owner	NOUN
cana-4889	293	36	cloud	cloud	PROPN
cana-4889	293	37	data	datum	NOUN
cana-4889	293	38	(	(	PUNCT
cana-4889	293	39	file	file	NOUN
cana-4889	293	40	size	size	NOUN
cana-4889	293	41	3	3	NUM
cana-4889	293	42	gb	gb	NOUN
cana-4889	293	43	)	)	PUNCT
cana-4889	293	44	conclusion	conclusion	NOUN
cana-4889	293	45	in	in	ADP
cana-4889	293	46	the	the	DET
cana-4889	293	47	research	research	NOUN
cana-4889	293	48	work	work	NOUN
cana-4889	293	49	,	,	PUNCT
cana-4889	293	50	improved	improve	VERB
cana-4889	293	51	secure	secure	ADJ
cana-4889	293	52	cloud	cloud	ADJ
cana-4889	293	53	data	data	NOUN
cana-4889	293	54	storage	storage	NOUN
cana-4889	293	55	framework	framework	NOUN
cana-4889	293	56	(	(	PUNCT
cana-4889	293	57	iscdsf	iscdsf	NOUN
cana-4889	293	58	)	)	PUNCT
cana-4889	293	59	was	be	AUX
cana-4889	293	60	proposed	propose	VERB
cana-4889	293	61	and	and	CCONJ
cana-4889	293	62	implemented	implement	VERB
cana-4889	293	63	for	for	ADP
cana-4889	293	64	ensuring	ensure	VERB
cana-4889	293	65	data	datum	NOUN
cana-4889	293	66	confidentiality	confidentiality	NOUN
cana-4889	293	67	,	,	PUNCT
cana-4889	293	68	integrity	integrity	NOUN
cana-4889	293	69	,	,	PUNCT
cana-4889	293	70	and	and	CCONJ
cana-4889	293	71	availability	availability	NOUN
cana-4889	293	72	of	of	ADP
cana-4889	293	73	single	single	ADJ
cana-4889	293	74	owner	owner	NOUN
cana-4889	293	75	and	and	CCONJ
cana-4889	293	76	multiuser	multiuser	NOUN
cana-4889	293	77	data	datum	NOUN
cana-4889	293	78	.	.	PUNCT
cana-4889	294	1	the	the	DET
cana-4889	294	2	research	research	NOUN
cana-4889	294	3	work	work	NOUN
cana-4889	294	4	focuses	focus	VERB
cana-4889	294	5	on	on	ADP
cana-4889	294	6	ensuring	ensure	VERB
cana-4889	294	7	data	datum	NOUN
cana-4889	294	8	confidentiality	confidentiality	NOUN
cana-4889	294	9	for	for	ADP
cana-4889	294	10	single	single	ADJ
cana-4889	294	11	owner	owner	NOUN
cana-4889	294	12	data	data	PROPN
cana-4889	294	13	:	:	PUNCT
cana-4889	294	14	enhanced	enhance	VERB
cana-4889	294	15	schmidt	schmidt	PROPN
cana-4889	294	16	samoa	samoa	PROPN
cana-4889	294	17	(	(	PUNCT
cana-4889	294	18	ess	ess	NOUN
cana-4889	294	19	)	)	PUNCT
cana-4889	294	20	cryptosystem	cryptosystem	NOUN
cana-4889	294	21	is	be	AUX
cana-4889	294	22	proposed	propose	VERB
cana-4889	294	23	to	to	PART
cana-4889	294	24	protect	protect	VERB
cana-4889	294	25	and	and	CCONJ
cana-4889	294	26	ensure	ensure	VERB
cana-4889	294	27	single	single	ADJ
cana-4889	294	28	owner	owner	NOUN
cana-4889	294	29	data	datum	NOUN
cana-4889	294	30	confidentiality	confidentiality	NOUN
cana-4889	294	31	in	in	ADP
cana-4889	294	32	the	the	DET
cana-4889	294	33	cloud	cloud	NOUN
cana-4889	294	34	.	.	PUNCT
cana-4889	295	1	by	by	ADP
cana-4889	295	2	raising	raise	VERB
cana-4889	295	3	the	the	DET
cana-4889	295	4	complexity	complexity	NOUN
cana-4889	295	5	of	of	ADP
cana-4889	295	6	the	the	DET
cana-4889	295	7	key	key	ADJ
cana-4889	295	8	generation	generation	NOUN
cana-4889	295	9	method	method	NOUN
cana-4889	295	10	,	,	PUNCT
cana-4889	295	11	the	the	DET
cana-4889	295	12	security	security	NOUN
cana-4889	295	13	of	of	ADP
cana-4889	295	14	0	0	NUM
cana-4889	295	15	2000	2000	NUM
cana-4889	295	16	4000	4000	NUM
cana-4889	295	17	6000	6000	NUM
cana-4889	295	18	8000	8000	NUM
cana-4889	295	19	10000	10000	NUM
cana-4889	295	20	12000	12000	NUM
cana-4889	295	21	14000	14000	NUM
cana-4889	295	22	16000	16000	NUM
cana-4889	295	23	18000	18000	NUM
cana-4889	295	24	128	128	NUM
cana-4889	295	25	256	256	NUM
cana-4889	295	26	512	512	NUM
cana-4889	295	27	1024	1024	NUM
cana-4889	295	28	2048	2048	NUM
cana-4889	295	29	e	e	NOUN
cana-4889	295	30	n	n	ADP
cana-4889	295	31	c	c	NOUN
cana-4889	295	32	r	r	NOUN
cana-4889	295	33	ip	ip	NOUN
cana-4889	295	34	t	t	PROPN
cana-4889	295	35	io	io	NOUN
cana-4889	295	36	n	n	ADP
cana-4889	295	37	t	t	X
cana-4889	296	1	i	i	PRON
cana-4889	296	2	m	m	VERB
cana-4889	296	3	e	e	NOUN
cana-4889	296	4	(	(	PUNCT
cana-4889	296	5	m	m	PROPN
cana-4889	296	6	s	s	PART
cana-4889	296	7	)	)	PUNCT
cana-4889	296	8	key	key	ADJ
cana-4889	296	9	size	size	NOUN
cana-4889	296	10	(	(	PUNCT
cana-4889	296	11	bits	bits	PROPN
cana-4889	296	12	)	)	PUNCT
cana-4889	296	13	ss	ss	PROPN
cana-4889	296	14	rsa	rsa	PROPN
cana-4889	296	15	paillier	paillier	NOUN
cana-4889	296	16	ess	ess	PROPN
cana-4889	296	17	0	0	NUM
cana-4889	296	18	2000	2000	NUM
cana-4889	296	19	4000	4000	NUM
cana-4889	296	20	6000	6000	NUM
cana-4889	296	21	8000	8000	NUM
cana-4889	296	22	10000	10000	NUM
cana-4889	296	23	12000	12000	NUM
cana-4889	296	24	14000	14000	NUM
cana-4889	296	25	16000	16000	NUM
cana-4889	296	26	18000	18000	NUM
cana-4889	296	27	128	128	NUM
cana-4889	296	28	256	256	NUM
cana-4889	296	29	512	512	NUM
cana-4889	296	30	1024	1024	NUM
cana-4889	296	31	2048	2048	NUM
cana-4889	297	1	d	d	NOUN
cana-4889	297	2	e	e	NOUN
cana-4889	297	3	c	c	NOUN
cana-4889	297	4	r	r	NOUN
cana-4889	297	5	ip	ip	NOUN
cana-4889	297	6	t	t	PROPN
cana-4889	297	7	io	io	NOUN
cana-4889	297	8	n	n	ADP
cana-4889	297	9	t	t	X
cana-4889	298	1	i	i	PRON
cana-4889	298	2	m	m	VERB
cana-4889	298	3	e	e	NOUN
cana-4889	298	4	(	(	PUNCT
cana-4889	298	5	m	m	PROPN
cana-4889	298	6	s	s	PART
cana-4889	298	7	)	)	PUNCT
cana-4889	298	8	key	key	ADJ
cana-4889	298	9	size	size	NOUN
cana-4889	298	10	(	(	PUNCT
cana-4889	298	11	bits	bits	PROPN
cana-4889	298	12	)	)	PUNCT
cana-4889	298	13	ss	ss	PROPN
cana-4889	298	14	rsa	rsa	PROPN
cana-4889	298	15	paillier	paillier	PROPN
cana-4889	298	16	ess	ess	NOUN
cana-4889	298	17	communications	communication	NOUN
cana-4889	298	18	on	on	ADP
cana-4889	298	19	applied	apply	VERB
cana-4889	298	20	nonlinear	nonlinear	ADJ
cana-4889	298	21	analysis	analysis	NOUN
cana-4889	298	22	issn	issn	NOUN
cana-4889	298	23	:	:	PUNCT
cana-4889	298	24	1074	1074	NUM
cana-4889	298	25	-	-	PUNCT
cana-4889	298	26	133x	133x	NUM
cana-4889	298	27	vol	vol	NOUN
cana-4889	298	28	32	32	NUM
cana-4889	298	29	no	no	NOUN
cana-4889	298	30	.	.	NOUN
cana-4889	298	31	1	1	NUM
cana-4889	298	32	(	(	PUNCT
cana-4889	298	33	2025	2025	NUM
cana-4889	298	34	)	)	PUNCT
cana-4889	298	35	434	434	NUM
cana-4889	298	36	https://internationalpubls.com	https://internationalpubls.com	X
cana-4889	299	1	the	the	DET
cana-4889	299	2	cryptosystem	cryptosystem	NOUN
cana-4889	299	3	is	be	AUX
cana-4889	299	4	increased	increase	VERB
cana-4889	299	5	.	.	PUNCT
cana-4889	300	1	a	a	DET
cana-4889	300	2	single	single	ADJ
cana-4889	300	3	owner	owner	NOUN
cana-4889	300	4	produces	produce	VERB
cana-4889	300	5	a	a	DET
cana-4889	300	6	key	key	NOUN
cana-4889	300	7	only	only	ADV
cana-4889	300	8	once	once	ADV
cana-4889	300	9	.	.	PUNCT
cana-4889	301	1	however	however	ADV
cana-4889	301	2	,	,	PUNCT
cana-4889	301	3	a	a	DET
cana-4889	301	4	single	single	ADJ
cana-4889	301	5	owner	owner	NOUN
cana-4889	301	6	regularly	regularly	ADV
cana-4889	301	7	executes	execute	VERB
cana-4889	301	8	upload	upload	VERB
cana-4889	301	9	and	and	CCONJ
cana-4889	301	10	download	download	NOUN
cana-4889	301	11	activities	activity	NOUN
cana-4889	301	12	.	.	PUNCT
cana-4889	302	1	the	the	DET
cana-4889	302	2	mathematical	mathematical	ADJ
cana-4889	302	3	argument	argument	NOUN
cana-4889	302	4	demonstrates	demonstrate	VERB
cana-4889	302	5	that	that	SCONJ
cana-4889	302	6	the	the	DET
cana-4889	302	7	encryption	encryption	NOUN
cana-4889	302	8	and	and	CCONJ
cana-4889	302	9	decryption	decryption	NOUN
cana-4889	302	10	procedures	procedure	NOUN
cana-4889	302	11	are	be	AUX
cana-4889	302	12	inverse	inverse	NOUN
cana-4889	302	13	of	of	ADP
cana-4889	302	14	one	one	NUM
cana-4889	302	15	another	another	DET
cana-4889	302	16	.	.	PUNCT
cana-4889	303	1	the	the	DET
cana-4889	303	2	studies	study	NOUN
cana-4889	303	3	are	be	AUX
cana-4889	303	4	conducted	conduct	VERB
cana-4889	303	5	out	out	ADP
cana-4889	303	6	in	in	ADP
cana-4889	303	7	a	a	DET
cana-4889	303	8	cloud	cloud	NOUN
cana-4889	303	9	environment	environment	NOUN
cana-4889	303	10	,	,	PUNCT
cana-4889	303	11	and	and	CCONJ
cana-4889	303	12	the	the	DET
cana-4889	303	13	findings	finding	NOUN
cana-4889	303	14	show	show	VERB
cana-4889	303	15	that	that	SCONJ
cana-4889	303	16	the	the	DET
cana-4889	303	17	ess	ess	PROPN
cana-4889	303	18	cryptosystem	cryptosystem	NOUN
cana-4889	303	19	outperforms	outperform	VERB
cana-4889	303	20	the	the	DET
cana-4889	303	21	ss	ss	NOUN
cana-4889	303	22	cryptosystem	cryptosystem	NOUN
cana-4889	303	23	.	.	PUNCT
cana-4889	304	1	references	reference	NOUN
cana-4889	304	2	1	1	NUM
cana-4889	304	3	.	.	X
cana-4889	304	4	lu	lu	PROPN
cana-4889	304	5	ming	ming	PROPN
cana-4889	304	6	(	(	PUNCT
cana-4889	304	7	2007	2007	NUM
cana-4889	304	8	)	)	PUNCT
cana-4889	304	9	'	'	PUNCT
cana-4889	304	10	symmetric	symmetric	ADJ
cana-4889	304	11	-	-	PUNCT
cana-4889	304	12	key	key	ADJ
cana-4889	304	13	cryptosystem	cryptosystem	NOUN
cana-4889	304	14	with	with	ADP
cana-4889	304	15	dna	dna	PROPN
cana-4889	304	16	technology	technology	NOUN
cana-4889	304	17	'	'	PUNCT
cana-4889	304	18	,	,	PUNCT
cana-4889	304	19	science	science	NOUN
cana-4889	304	20	in	in	ADP
cana-4889	304	21	china	china	PROPN
cana-4889	304	22	series	series	PROPN
cana-4889	305	1	f	f	PROPN
cana-4889	305	2	:	:	PUNCT
cana-4889	305	3	information	information	NOUN
cana-4889	305	4	sciences	science	NOUN
cana-4889	305	5	,	,	PUNCT
cana-4889	305	6	springer	springer	NOUN
cana-4889	305	7	,	,	PUNCT
cana-4889	305	8	vol	vol	NOUN
cana-4889	305	9	.	.	PROPN
cana-4889	306	1	50	50	NUM
cana-4889	306	2	,	,	PUNCT
cana-4889	306	3	no	no	INTJ
cana-4889	306	4	.	.	NOUN
cana-4889	306	5	3	3	NUM
cana-4889	306	6	,	,	PUNCT
cana-4889	306	7	pp	pp	ADJ
cana-4889	306	8	.	.	PUNCT
cana-4889	307	1	324	324	NUM
cana-4889	307	2	-	-	SYM
cana-4889	307	3	333	333	NUM
cana-4889	307	4	.	.	PUNCT
cana-4889	308	1	2	2	NUM
cana-4889	308	2	.	.	X
cana-4889	308	3	hovav	hovav	PROPN
cana-4889	308	4	shacham	shacham	PROPN
cana-4889	308	5	(	(	PUNCT
cana-4889	308	6	2008	2008	NUM
cana-4889	308	7	)	)	PUNCT
cana-4889	308	8	'	'	PUNCT
cana-4889	308	9	compact	compact	ADJ
cana-4889	308	10	proofs	proof	NOUN
cana-4889	308	11	of	of	ADP
cana-4889	308	12	retrievability	retrievability	NOUN
cana-4889	308	13	'	'	PUNCT
cana-4889	308	14	,	,	PUNCT
cana-4889	308	15	journal	journal	NOUN
cana-4889	308	16	of	of	ADP
cana-4889	308	17	cryptology	cryptology	NOUN
cana-4889	308	18	,	,	PUNCT
cana-4889	308	19	springer	springer	NOUN
cana-4889	308	20	,	,	PUNCT
cana-4889	308	21	vol	vol	NOUN
cana-4889	308	22	.	.	PROPN
cana-4889	308	23	26	26	NUM
cana-4889	308	24	,	,	PUNCT
cana-4889	308	25	no	no	INTJ
cana-4889	308	26	.	.	NOUN
cana-4889	308	27	3	3	NUM
cana-4889	308	28	,	,	PUNCT
cana-4889	308	29	pp	pp	ADJ
cana-4889	308	30	.	.	PUNCT
cana-4889	309	1	442	442	NUM
cana-4889	309	2	-	-	SYM
cana-4889	309	3	483	483	NUM
cana-4889	309	4	.	.	PUNCT
cana-4889	310	1	3	3	X
cana-4889	310	2	.	.	X
cana-4889	310	3	chris	chris	PROPN
cana-4889	310	4	erway	erway	PROPN
cana-4889	310	5	,	,	PUNCT
cana-4889	310	6	c	c	PROPN
cana-4889	310	7	,	,	PUNCT
cana-4889	310	8	(	(	PUNCT
cana-4889	310	9	2009	2009	NUM
cana-4889	310	10	)	)	PUNCT
cana-4889	310	11	'	'	PUNCT
cana-4889	310	12	dynamic	dynamic	ADJ
cana-4889	310	13	provable	provable	ADJ
cana-4889	310	14	data	datum	NOUN
cana-4889	310	15	possession	possession	NOUN
cana-4889	310	16	'	'	PUNCT
cana-4889	310	17	,	,	PUNCT
cana-4889	310	18	proceedings	proceeding	NOUN
cana-4889	310	19	of	of	ADP
cana-4889	310	20	the	the	DET
cana-4889	310	21	16th	16th	ADJ
cana-4889	310	22	acm	acm	NOUN
cana-4889	310	23	conference	conference	NOUN
cana-4889	310	24	on	on	ADP
cana-4889	310	25	computer	computer	NOUN
cana-4889	310	26	and	and	CCONJ
cana-4889	310	27	communications	communication	NOUN
cana-4889	310	28	security	security	NOUN
cana-4889	310	29	,	,	PUNCT
cana-4889	310	30	acm	acm	PROPN
cana-4889	310	31	,	,	PUNCT
cana-4889	310	32	pp	pp	PROPN
cana-4889	310	33	.	.	PUNCT
cana-4889	311	1	213	213	NUM
cana-4889	311	2	-	-	SYM
cana-4889	311	3	222	222	NUM
cana-4889	311	4	.	.	PUNCT
cana-4889	312	1	4	4	NUM
cana-4889	312	2	.	.	X
cana-4889	312	3	lai	lai	PROPN
cana-4889	312	4	x	x	PROPN
cana-4889	312	5	ue	ue	PROPN
cana-4889	312	6	jia	jia	PROPN
cana-4889	312	7	,	,	PUNCT
cana-4889	312	8	(	(	PUNCT
cana-4889	312	9	2010	2010	NUM
cana-4889	312	10	)	)	PUNCT
cana-4889	312	11	'	'	PUNCT
cana-4889	312	12	asymmetric	asymmetric	ADJ
cana-4889	312	13	encryption	encryption	NOUN
cana-4889	312	14	and	and	CCONJ
cana-4889	312	15	signature	signature	NOUN
cana-4889	312	16	method	method	NOUN
cana-4889	312	17	with	with	ADP
cana-4889	312	18	dna	dna	PROPN
cana-4889	312	19	technology	technology	NOUN
cana-4889	312	20	'	'	PUNCT
cana-4889	312	21	,	,	PUNCT
cana-4889	312	22	science	science	PROPN
cana-4889	312	23	china	china	PROPN
cana-4889	312	24	information	information	PROPN
cana-4889	312	25	sciences	sciences	PROPN
cana-4889	312	26	,	,	PUNCT
cana-4889	312	27	springer	springer	NOUN
cana-4889	312	28	,	,	PUNCT
cana-4889	312	29	vol	vol	NOUN
cana-4889	312	30	.	.	PROPN
cana-4889	313	1	53	53	NUM
cana-4889	313	2	,	,	PUNCT
cana-4889	313	3	no	no	INTJ
cana-4889	313	4	.	.	NOUN
cana-4889	313	5	3	3	NUM
cana-4889	313	6	,	,	PUNCT
cana-4889	313	7	pp	pp	ADJ
cana-4889	313	8	.	.	PUNCT
cana-4889	314	1	506	506	NUM
cana-4889	314	2	-	-	SYM
cana-4889	314	3	514	514	NUM
cana-4889	314	4	.	.	PUNCT
cana-4889	315	1	5	5	NUM
cana-4889	315	2	.	.	X
cana-4889	315	3	giuseppe	giuseppe	PROPN
cana-4889	315	4	ateniese	ateniese	PROPN
cana-4889	315	5	,	,	PUNCT
cana-4889	315	6	(	(	PUNCT
cana-4889	315	7	2011	2011	NUM
cana-4889	315	8	)	)	PUNCT
cana-4889	315	9	'	'	PUNCT
cana-4889	315	10	remote	remote	ADJ
cana-4889	315	11	data	datum	NOUN
cana-4889	315	12	checking	check	VERB
cana-4889	315	13	using	use	VERB
cana-4889	315	14	provable	provable	ADJ
cana-4889	315	15	data	datum	NOUN
cana-4889	315	16	possession	possession	NOUN
cana-4889	315	17	'	'	PUNCT
cana-4889	315	18	,	,	PUNCT
cana-4889	315	19	acm	acm	NOUN
cana-4889	315	20	transactions	transaction	NOUN
cana-4889	315	21	on	on	ADP
cana-4889	315	22	information	information	NOUN
cana-4889	315	23	and	and	CCONJ
cana-4889	315	24	system	system	NOUN
cana-4889	315	25	security	security	NOUN
cana-4889	315	26	,	,	PUNCT
cana-4889	315	27	vol	vol	NOUN
cana-4889	315	28	.	.	PROPN
cana-4889	316	1	14	14	NUM
cana-4889	316	2	,	,	PUNCT
cana-4889	316	3	no	no	INTJ
cana-4889	316	4	.	.	NOUN
cana-4889	316	5	1	1	NUM
cana-4889	316	6	,	,	PUNCT
cana-4889	316	7	pp	pp	ADJ
cana-4889	316	8	.	.	PUNCT
cana-4889	317	1	1	1	NUM
cana-4889	317	2	-	-	SYM
cana-4889	317	3	34	34	NUM
cana-4889	317	4	.	.	NOUN
cana-4889	318	1	6	6	NUM
cana-4889	318	2	.	.	PUNCT
cana-4889	319	1	peng	peng	PROPN
cana-4889	319	2	y	y	PROPN
cana-4889	319	3	ong	ong	PROPN
cana-4889	319	4	,	,	PUNCT
cana-4889	319	5	(	(	PUNCT
cana-4889	319	6	2012	2012	NUM
cana-4889	319	7	)	)	PUNCT
cana-4889	319	8	'	'	PUNCT
cana-4889	319	9	secure	secure	ADJ
cana-4889	319	10	cloud	cloud	NOUN
cana-4889	319	11	storage	storage	NOUN
cana-4889	319	12	based	base	VERB
cana-4889	319	13	on	on	ADP
cana-4889	319	14	cryptographic	cryptographic	ADJ
cana-4889	319	15	techniques	technique	NOUN
cana-4889	319	16	'	'	PART
cana-4889	319	17	,	,	PUNCT
cana-4889	319	18	the	the	DET
cana-4889	319	19	journal	journal	NOUN
cana-4889	319	20	of	of	ADP
cana-4889	319	21	china	china	PROPN
cana-4889	319	22	universities	university	NOUN
cana-4889	319	23	of	of	ADP
cana-4889	319	24	posts	post	NOUN
cana-4889	319	25	and	and	CCONJ
cana-4889	319	26	telecommunications	telecommunication	NOUN
cana-4889	319	27	,	,	PUNCT
cana-4889	319	28	elsevier	elsevier	NOUN
cana-4889	319	29	,	,	PUNCT
cana-4889	319	30	vol	vol	NOUN
cana-4889	319	31	.	.	PROPN
cana-4889	319	32	19	19	NUM
cana-4889	319	33	,	,	PUNCT
cana-4889	319	34	no	no	INTJ
cana-4889	319	35	.	.	NOUN
cana-4889	319	36	2	2	NUM
cana-4889	319	37	,	,	PUNCT
cana-4889	319	38	pp	pp	ADJ
cana-4889	319	39	.	.	PUNCT
cana-4889	320	1	182	182	NUM
cana-4889	320	2	-	-	SYM
cana-4889	320	3	189	189	NUM
cana-4889	320	4	.	.	NOUN
cana-4889	321	1	7	7	X
cana-4889	321	2	.	.	X
cana-4889	321	3	cong	cong	PROPN
cana-4889	321	4	wang	wang	PROPN
cana-4889	321	5	,	,	PUNCT
cana-4889	321	6	(	(	PUNCT
cana-4889	321	7	2013	2013	NUM
cana-4889	321	8	)	)	PUNCT
cana-4889	321	9	'	'	PUNCT
cana-4889	321	10	privacy	privacy	NOUN
cana-4889	321	11	-	-	PUNCT
cana-4889	321	12	preserving	preserve	VERB
cana-4889	321	13	public	public	ADJ
cana-4889	321	14	auditing	auditing	NOUN
cana-4889	321	15	for	for	ADP
cana-4889	321	16	secure	secure	ADJ
cana-4889	321	17	cloud	cloud	NOUN
cana-4889	321	18	storage	storage	NOUN
cana-4889	321	19	'	'	PUNCT
cana-4889	321	20	,	,	PUNCT
cana-4889	321	21	ieee	ieee	NOUN
cana-4889	321	22	transactions	transaction	NOUN
cana-4889	321	23	on	on	ADP
cana-4889	321	24	computers	computer	NOUN
cana-4889	321	25	,	,	PUNCT
cana-4889	321	26	vol	vol	NOUN
cana-4889	321	27	.	.	PROPN
cana-4889	321	28	62	62	NUM
cana-4889	321	29	,	,	PUNCT
cana-4889	321	30	no	no	INTJ
cana-4889	321	31	.	.	NOUN
cana-4889	321	32	2	2	NUM
cana-4889	321	33	,	,	PUNCT
cana-4889	321	34	pp	pp	ADJ
cana-4889	321	35	.	.	PUNCT
cana-4889	322	1	362	362	NUM
cana-4889	322	2	-	-	SYM
cana-4889	322	3	375	375	NUM
cana-4889	322	4	.	.	NOUN
cana-4889	323	1	8	8	NUM
cana-4889	323	2	.	.	X
cana-4889	324	1	zhang	zhang	PROPN
cana-4889	324	2	,	,	PUNCT
cana-4889	324	3	(	(	PUNCT
cana-4889	324	4	2014	2014	NUM
cana-4889	324	5	)	)	PUNCT
cana-4889	324	6	,	,	PUNCT
cana-4889	324	7	'	'	PUNCT
cana-4889	324	8	authorized	authorize	VERB
cana-4889	324	9	public	public	ADJ
cana-4889	324	10	auditing	auditing	NOUN
cana-4889	324	11	of	of	ADP
cana-4889	324	12	dynamic	dynamic	ADJ
cana-4889	324	13	big	big	ADJ
cana-4889	324	14	data	datum	NOUN
cana-4889	324	15	storage	storage	NOUN
cana-4889	324	16	on	on	ADP
cana-4889	324	17	cloud	cloud	NOUN
cana-4889	324	18	with	with	ADP
cana-4889	324	19	efficient	efficient	ADJ
cana-4889	324	20	verifiable	verifiable	ADJ
cana-4889	324	21	fine	fine	ADV
cana-4889	324	22	-	-	PUNCT
cana-4889	324	23	grained	grain	VERB
cana-4889	324	24	updates	update	NOUN
cana-4889	324	25	'	'	PART
cana-4889	324	26	,	,	PUNCT
cana-4889	324	27	ieee	ieee	NOUN
cana-4889	324	28	transactions	transaction	NOUN
cana-4889	324	29	on	on	ADP
cana-4889	324	30	parallel	parallel	ADJ
cana-4889	324	31	and	and	CCONJ
cana-4889	324	32	distributed	distributed	ADJ
cana-4889	324	33	systems	system	NOUN
cana-4889	324	34	,	,	PUNCT
cana-4889	324	35	vol	vol	NOUN
cana-4889	324	36	.	.	PROPN
cana-4889	325	1	25	25	NUM
cana-4889	325	2	,	,	PUNCT
cana-4889	325	3	no	no	INTJ
cana-4889	325	4	.	.	NOUN
cana-4889	325	5	9	9	NUM
cana-4889	325	6	,	,	PUNCT
cana-4889	325	7	pp	pp	ADJ
cana-4889	325	8	.	.	PUNCT
cana-4889	326	1	2234	2234	NUM
cana-4889	326	2	-	-	SYM
cana-4889	326	3	2244	2244	NUM
cana-4889	326	4	.	.	PUNCT
cana-4889	327	1	9	9	X
cana-4889	327	2	.	.	X
cana-4889	327	3	chang	chang	PROPN
cana-4889	327	4	liu	liu	PROPN
cana-4889	327	5	(	(	PUNCT
cana-4889	327	6	2015	2015	NUM
cana-4889	327	7	)	)	PUNCT
cana-4889	327	8	,	,	PUNCT
cana-4889	327	9	'	'	PUNCT
cana-4889	327	10	mur	mur	PROPN
cana-4889	327	11	-	-	PUNCT
cana-4889	327	12	dpa	dpa	PROPN
cana-4889	327	13	:	:	PUNCT
cana-4889	327	14	top	top	ADJ
cana-4889	327	15	-	-	PUNCT
cana-4889	327	16	down	down	NOUN
cana-4889	327	17	leveled	leveled	ADJ
cana-4889	327	18	multi	multi	ADJ
cana-4889	327	19	-	-	ADJ
cana-4889	327	20	replica	replica	ADJ
cana-4889	327	21	merkle	merkle	NOUN
cana-4889	327	22	hash	hash	NOUN
cana-4889	327	23	tree	tree	NOUN
cana-4889	327	24	based	base	VERB
cana-4889	327	25	secure	secure	ADJ
cana-4889	327	26	public	public	ADJ
cana-4889	327	27	auditing	auditing	NOUN
cana-4889	327	28	for	for	ADP
cana-4889	327	29	dynamic	dynamic	ADJ
cana-4889	327	30	big	big	ADJ
cana-4889	327	31	data	datum	NOUN
cana-4889	327	32	storage	storage	NOUN
cana-4889	327	33	on	on	ADP
cana-4889	327	34	cloud	cloud	PROPN
cana-4889	327	35	'	'	PUNCT
cana-4889	327	36	,	,	PUNCT
cana-4889	327	37	ieee	ieee	NOUN
cana-4889	327	38	transactions	transaction	NOUN
cana-4889	327	39	on	on	ADP
cana-4889	327	40	computers	computer	NOUN
cana-4889	327	41	,	,	PUNCT
cana-4889	327	42	vol	vol	NOUN
cana-4889	327	43	.	.	PROPN
cana-4889	327	44	64	64	NUM
cana-4889	327	45	,	,	PUNCT
cana-4889	327	46	no	no	INTJ
cana-4889	327	47	.	.	NOUN
cana-4889	327	48	9	9	NUM
cana-4889	327	49	,	,	PUNCT
cana-4889	327	50	pp	pp	ADJ
cana-4889	327	51	.	.	PUNCT
cana-4889	327	52	2609	2609	NUM
cana-4889	327	53	2622	2622	NUM
cana-4889	327	54	.	.	PUNCT
cana-4889	327	55	10	10	NUM
cana-4889	327	56	.	.	PUNCT
cana-4889	327	57	samiha	samiha	PROPN
cana-4889	327	58	marwan	marwan	PROPN
cana-4889	327	59	,	,	PUNCT
cana-4889	327	60	(	(	PUNCT
cana-4889	327	61	2016	2016	NUM
cana-4889	327	62	)	)	PUNCT
cana-4889	327	63	,	,	PUNCT
cana-4889	327	64	'	'	PUNCT
cana-4889	327	65	dna	dna	NOUN
cana-4889	327	66	-	-	PUNCT
cana-4889	327	67	based	base	VERB
cana-4889	327	68	cryptographic	cryptographic	ADJ
cana-4889	327	69	methods	method	NOUN
cana-4889	327	70	for	for	ADP
cana-4889	327	71	data	datum	NOUN
cana-4889	327	72	hiding	hide	VERB
cana-4889	327	73	in	in	ADP
cana-4889	327	74	dna	dna	PROPN
cana-4889	327	75	media	medium	NOUN
cana-4889	327	76	'	'	PART
cana-4889	327	77	,	,	PUNCT
cana-4889	327	78	biosystems	biosystems	PROPN
cana-4889	327	79	,	,	PUNCT
cana-4889	327	80	elsevier	elsevier	NOUN
cana-4889	327	81	,	,	PUNCT
cana-4889	327	82	vol	vol	NOUN
cana-4889	327	83	.	.	PROPN
cana-4889	327	84	150	150	NUM
cana-4889	327	85	,	,	PUNCT
cana-4889	327	86	no	no	INTJ
cana-4889	327	87	.	.	NOUN
cana-4889	327	88	1	1	NUM
cana-4889	327	89	,	,	PUNCT
cana-4889	327	90	pp	pp	ADJ
cana-4889	327	91	.	.	PUNCT
cana-4889	328	1	110	110	NUM
cana-4889	328	2	118	118	NUM
cana-4889	328	3	.	.	PUNCT
cana-4889	329	1	11	11	NUM
cana-4889	329	2	.	.	PUNCT
cana-4889	329	3	su	su	PROPN
cana-4889	329	4	peng	peng	PROPN
cana-4889	329	5	,	,	PUNCT
cana-4889	329	6	(	(	PUNCT
cana-4889	329	7	2017	2017	NUM
cana-4889	329	8	)	)	PUNCT
cana-4889	329	9	,	,	PUNCT
cana-4889	329	10	'	'	PUNCT
cana-4889	329	11	identitybased	identitybase	VERB
cana-4889	329	12	public	public	ADJ
cana-4889	329	13	multi	multi	ADJ
cana-4889	329	14	-	-	ADJ
cana-4889	329	15	replica	replica	ADJ
cana-4889	329	16	provable	provable	ADJ
cana-4889	329	17	data	datum	NOUN
cana-4889	329	18	possession	possession	NOUN
cana-4889	329	19	'	'	PUNCT
cana-4889	329	20	,	,	PUNCT
cana-4889	329	21	ieee	ieee	NOUN
cana-4889	329	22	access	access	NOUN
cana-4889	329	23	,	,	PUNCT
cana-4889	329	24	vol	vol	NOUN
cana-4889	329	25	.	.	PROPN
cana-4889	329	26	5	5	NUM
cana-4889	329	27	,	,	PUNCT
cana-4889	329	28	pp	pp	ADJ
cana-4889	329	29	.	.	PUNCT
cana-4889	330	1	26990	26990	NUM
cana-4889	330	2	-	-	SYM
cana-4889	330	3	27001	27001	NUM
cana-4889	330	4	.	.	PUNCT
cana-4889	331	1	12	12	NUM
cana-4889	331	2	.	.	PUNCT
cana-4889	331	3	xing	xing	PROPN
cana-4889	331	4	-	-	PUNCT
cana-4889	331	5	quan	quan	PROPN
cana-4889	331	6	fu	fu	PROPN
cana-4889	331	7	,	,	PUNCT
cana-4889	331	8	(	(	PUNCT
cana-4889	331	9	2018	2018	NUM
cana-4889	331	10	)	)	PUNCT
cana-4889	331	11	,	,	PUNCT
cana-4889	331	12	'	'	PUNCT
cana-4889	331	13	image	image	NOUN
cana-4889	331	14	encryption	encryption	NOUN
cana-4889	331	15	-	-	PUNCT
cana-4889	331	16	then	then	ADV
cana-4889	331	17	-	-	PUNCT
cana-4889	331	18	transmission	transmission	NOUN
cana-4889	331	19	using	use	VERB
cana-4889	331	20	dna	dna	PROPN
cana-4889	331	21	encryption	encryption	NOUN
cana-4889	331	22	algorithm	algorithm	NOUN
cana-4889	331	23	and	and	CCONJ
cana-4889	331	24	the	the	DET
cana-4889	331	25	double	double	ADJ
cana-4889	331	26	chaos	chaos	NOUN
cana-4889	331	27	'	'	PUNCT
cana-4889	331	28	,	,	PUNCT
cana-4889	331	29	ieee	ieee	PROPN
cana-4889	331	30	photonics	photonic	NOUN
cana-4889	331	31	journal	journal	PROPN
cana-4889	331	32	,	,	PUNCT
cana-4889	331	33	vol	vol	NOUN
cana-4889	331	34	.	.	PROPN
cana-4889	332	1	10	10	NUM
cana-4889	332	2	,	,	PUNCT
cana-4889	332	3	no	no	INTJ
cana-4889	332	4	.	.	NOUN
cana-4889	332	5	3	3	NUM
cana-4889	332	6	,	,	PUNCT
cana-4889	332	7	pp	pp	ADJ
cana-4889	332	8	.	.	PUNCT
cana-4889	333	1	1	1	NUM
cana-4889	333	2	-	-	SYM
cana-4889	333	3	15	15	NUM
cana-4889	333	4	.	.	NOUN
cana-4889	334	1	13	13	NUM
cana-4889	334	2	.	.	PUNCT
cana-4889	334	3	su	su	PROPN
cana-4889	334	4	peng	peng	PROPN
cana-4889	334	5	,	,	PUNCT
cana-4889	334	6	(	(	PUNCT
cana-4889	334	7	2019	2019	NUM
cana-4889	334	8	)	)	PUNCT
cana-4889	334	9	,	,	PUNCT
cana-4889	334	10	'	'	PUNCT
cana-4889	334	11	efficient	efficient	ADJ
cana-4889	334	12	,	,	PUNCT
cana-4889	334	13	dynamic	dynamic	ADJ
cana-4889	334	14	and	and	CCONJ
cana-4889	334	15	identity	identity	NOUN
cana-4889	334	16	-	-	PUNCT
cana-4889	334	17	based	base	VERB
cana-4889	334	18	remote	remote	ADJ
cana-4889	334	19	data	datum	NOUN
cana-4889	334	20	integrity	integrity	NOUN
cana-4889	334	21	checking	check	VERB
cana-4889	334	22	for	for	ADP
cana-4889	334	23	multiple	multiple	ADJ
cana-4889	334	24	replicas	replica	NOUN
cana-4889	334	25	'	'	NUM
cana-4889	334	26	,	,	PUNCT
cana-4889	334	27	journal	journal	NOUN
cana-4889	334	28	of	of	ADP
cana-4889	334	29	network	network	NOUN
cana-4889	334	30	and	and	CCONJ
cana-4889	334	31	computer	computer	NOUN
cana-4889	334	32	applications	application	NOUN
cana-4889	334	33	,	,	PUNCT
cana-4889	334	34	elsevier	elsevier	NOUN
cana-4889	334	35	,	,	PUNCT
cana-4889	334	36	vol	vol	NOUN
cana-4889	334	37	.	.	PROPN
cana-4889	334	38	134	134	NUM
cana-4889	334	39	,	,	PUNCT
cana-4889	334	40	pp	pp	ADJ
cana-4889	334	41	.	.	PUNCT
cana-4889	334	42	7288	7288	NUM
cana-4889	334	43	.	.	PUNCT
cana-4889	335	1	14	14	NUM
cana-4889	335	2	.	.	PUNCT
cana-4889	336	1	hossein	hossein	PROPN
cana-4889	336	2	nematzadeh	nematzadeh	PROPN
cana-4889	336	3	,	,	PUNCT
cana-4889	336	4	(	(	PUNCT
cana-4889	336	5	2020	2020	NUM
cana-4889	336	6	)	)	PUNCT
cana-4889	336	7	,	,	PUNCT
cana-4889	336	8	'	'	PUNCT
cana-4889	336	9	binary	binary	ADJ
cana-4889	336	10	search	search	NOUN
cana-4889	336	11	tree	tree	NOUN
cana-4889	336	12	image	image	NOUN
cana-4889	336	13	encryption	encryption	NOUN
cana-4889	336	14	with	with	ADP
cana-4889	336	15	dna	dna	PROPN
cana-4889	336	16	'	'	PUNCT
cana-4889	336	17	,	,	PUNCT
cana-4889	336	18	optikinternational	optikinternational	ADJ
cana-4889	336	19	journal	journal	NOUN
cana-4889	336	20	for	for	ADP
cana-4889	336	21	light	light	NOUN
cana-4889	336	22	and	and	CCONJ
cana-4889	336	23	electron	electron	NOUN
cana-4889	336	24	optics	optic	NOUN
cana-4889	336	25	,	,	PUNCT
cana-4889	336	26	vol	vol	NOUN
cana-4889	336	27	.	.	PROPN
cana-4889	337	1	202	202	NUM
cana-4889	337	2	,	,	PUNCT
cana-4889	337	3	pp	pp	ADJ
cana-4889	337	4	.	.	PUNCT
cana-4889	338	1	1	1	NUM
cana-4889	338	2	-	-	SYM
cana-4889	338	3	10	10	NUM
cana-4889	338	4	.	.	PUNCT
cana-4889	339	1	15	15	NUM
cana-4889	339	2	.	.	X
cana-4889	340	1	viswanath	viswanath	NOUN
cana-4889	340	2	and	and	CCONJ
cana-4889	340	3	krishna	krishna	PROPN
cana-4889	340	4	etal	etal	NOUN
cana-4889	340	5	.	.	PUNCT
cana-4889	341	1	(	(	PUNCT
cana-4889	341	2	2021	2021	NUM
cana-4889	341	3	)	)	PUNCT
cana-4889	341	4	"	"	PUNCT
cana-4889	341	5	a	a	DET
cana-4889	341	6	hybrid	hybrid	ADJ
cana-4889	341	7	cryptographic	cryptographic	ADJ
cana-4889	341	8	model	model	NOUN
cana-4889	341	9	using	use	VERB
cana-4889	341	10	aes	aes	PROPN
cana-4889	341	11	and	and	CCONJ
cana-4889	341	12	rsa	rsa	PROPN
cana-4889	341	13	for	for	ADP
cana-4889	341	14	sensitive	sensitive	ADJ
cana-4889	341	15	data	datum	NOUN
cana-4889	341	16	privacy	privacy	NOUN
cana-4889	341	17	preserving	preserve	VERB
cana-4889	341	18	"	"	PUNCT
cana-4889	341	19	webology	webology	NOUN
cana-4889	341	20	,	,	PUNCT
cana-4889	341	21	volume	volume	NOUN
cana-4889	341	22	18	18	NUM
cana-4889	341	23	,	,	PUNCT
cana-4889	341	24	special	special	ADJ
cana-4889	341	25	issue	issue	NOUN
cana-4889	341	26	on	on	ADP
cana-4889	341	27	current	current	ADJ
cana-4889	341	28	trends	trend	NOUN
cana-4889	341	29	in	in	ADP
cana-4889	341	30	management	management	NOUN
cana-4889	341	31	and	and	CCONJ
cana-4889	341	32	information	information	NOUN
cana-4889	341	33	technology	technology	NOUN
cana-4889	341	34	,	,	PUNCT
cana-4889	341	35	october	october	PROPN
cana-4889	341	36	,	,	PUNCT
cana-4889	341	37	2021	2021	NUM
cana-4889	341	38	received	receive	VERB
cana-4889	341	39	may	may	PROPN
cana-4889	341	40	06	06	NUM
cana-4889	341	41	,	,	PUNCT
cana-4889	341	42	2021	2021	NUM
cana-4889	341	43	;	;	PUNCT
cana-4889	341	44	accepted	accept	VERB
cana-4889	341	45	august	august	PROPN
cana-4889	341	46	08	08	NUM
cana-4889	341	47	,	,	PUNCT
cana-4889	341	48	2021	2021	NUM
cana-4889	341	49	issn	issn	VERB
cana-4889	341	50	:	:	PUNCT
cana-4889	341	51	1735	1735	NUM
cana-4889	341	52	-	-	PUNCT
cana-4889	341	53	188x	188x	NUM
cana-4889	341	54	doi	doi	NOUN
cana-4889	341	55	:	:	PUNCT
cana-4889	341	56	10.14704	10.14704	NUM
cana-4889	341	57	/	/	SYM
cana-4889	341	58	web	web	NOUN
cana-4889	341	59	/	/	SYM
cana-4889	341	60	v18si05	v18si05	PROPN
cana-4889	341	61	/	/	SYM
cana-4889	341	62	web18219	web18219	NOUN
cana-4889	341	63	.	.	PUNCT
cana-4889	342	1	communications	communication	NOUN
cana-4889	342	2	on	on	ADP
cana-4889	342	3	applied	apply	VERB
cana-4889	342	4	nonlinear	nonlinear	ADJ
cana-4889	342	5	analysis	analysis	NOUN
cana-4889	342	6	issn	issn	NOUN
cana-4889	342	7	:	:	PUNCT
cana-4889	342	8	1074	1074	NUM
cana-4889	342	9	-	-	PUNCT
cana-4889	342	10	133x	133x	NUM
cana-4889	342	11	vol	vol	NOUN
cana-4889	342	12	32	32	NUM
cana-4889	342	13	no	no	NOUN
cana-4889	342	14	.	.	NOUN
cana-4889	342	15	1	1	NUM
cana-4889	342	16	(	(	PUNCT
cana-4889	342	17	2025	2025	NUM
cana-4889	342	18	)	)	PUNCT
cana-4889	342	19	435	435	NUM
cana-4889	342	20	https://internationalpubls.com	https://internationalpubls.com	X
cana-4889	342	21	16	16	NUM
cana-4889	342	22	.	.	PUNCT
cana-4889	343	1	ramachandra	ramachandra	PROPN
cana-4889	343	2	,	,	PUNCT
cana-4889	343	3	(	(	PUNCT
cana-4889	343	4	2022	2022	NUM
cana-4889	343	5	)	)	PUNCT
cana-4889	343	6	"	"	PUNCT
cana-4889	343	7	an	an	DET
cana-4889	343	8	efficient	efficient	ADJ
cana-4889	343	9	and	and	CCONJ
cana-4889	343	10	secure	secure	VERB
cana-4889	343	11	big	big	ADJ
cana-4889	343	12	data	datum	NOUN
cana-4889	343	13	storage	storage	NOUN
cana-4889	343	14	in	in	ADP
cana-4889	343	15	cloud	cloud	NOUN
cana-4889	343	16	environment	environment	NOUN
cana-4889	343	17	by	by	ADP
cana-4889	343	18	using	use	VERB
cana-4889	343	19	triple	triple	ADJ
cana-4889	343	20	data	datum	NOUN
cana-4889	343	21	encryption	encryption	NOUN
cana-4889	343	22	standard	standard	NOUN
cana-4889	343	23	"	"	PUNCT
cana-4889	343	24	big	big	ADJ
cana-4889	343	25	data	datum	NOUN
cana-4889	343	26	and	and	CCONJ
cana-4889	343	27	cognitive	cognitive	ADJ
cana-4889	343	28	computing	computing	NOUN
cana-4889	343	29	6	6	NUM
cana-4889	343	30	,	,	PUNCT
cana-4889	343	31	no	no	INTJ
cana-4889	343	32	.	.	NOUN
cana-4889	343	33	4	4	NUM
cana-4889	343	34	:	:	SYM
cana-4889	343	35	101	101	NUM
cana-4889	343	36	.	.	NOUN
cana-4889	343	37	17	17	NUM
cana-4889	343	38	.	.	PUNCT
cana-4889	343	39	cuzzocrea	cuzzocrea	PROPN
cana-4889	343	40	,	,	PUNCT
cana-4889	343	41	a.	a.	NOUN
cana-4889	343	42	;	;	PUNCT
cana-4889	343	43	karras	karras	PROPN
cana-4889	343	44	,	,	PUNCT
cana-4889	343	45	p.	p.	NOUN
cana-4889	343	46	;	;	PUNCT
cana-4889	343	47	vlachou	vlachou	NOUN
cana-4889	343	48	,	,	PUNCT
cana-4889	343	49	a.	a.	NOUN
cana-4889	343	50	effective	effective	ADJ
cana-4889	343	51	and	and	CCONJ
cana-4889	343	52	efficient	efficient	ADJ
cana-4889	343	53	skyline	skyline	ADJ
cana-4889	343	54	query	query	NOUN
cana-4889	343	55	processing	processing	NOUN
cana-4889	343	56	over	over	ADP
cana-4889	343	57	attribute	attribute	NOUN
cana-4889	343	58	-	-	PUNCT
cana-4889	343	59	order	order	NOUN
cana-4889	343	60	-	-	PUNCT
cana-4889	343	61	preserving	preserve	VERB
cana-4889	343	62	-	-	PUNCT
cana-4889	343	63	free	free	ADJ
cana-4889	343	64	encrypted	encrypt	VERB
cana-4889	343	65	data	datum	NOUN
cana-4889	343	66	in	in	ADP
cana-4889	343	67	cloud	cloud	NOUN
cana-4889	343	68	-	-	PUNCT
cana-4889	343	69	enabled	enable	VERB
cana-4889	343	70	databases	database	NOUN
cana-4889	343	71	.	.	PUNCT
cana-4889	344	1	future	future	ADJ
cana-4889	344	2	gener	gener	PROPN
cana-4889	344	3	.	.	PUNCT
cana-4889	345	1	comput	comput	PROPN
cana-4889	345	2	.	.	PUNCT
cana-4889	346	1	syst	syst	PROPN
cana-4889	346	2	.	.	PUNCT
cana-4889	347	1	2022	2022	NUM
cana-4889	347	2	,	,	PUNCT
cana-4889	347	3	126	126	NUM
cana-4889	347	4	,	,	PUNCT
cana-4889	347	5	237–251	237–251	NUM
cana-4889	347	6	.	.	PUNCT
cana-4889	348	1	18	18	NUM
cana-4889	348	2	.	.	PUNCT
cana-4889	349	1	a	a	DET
cana-4889	349	2	,	,	PUNCT
cana-4889	349	3	reyana	reyana	ADJ
cana-4889	349	4	,	,	PUNCT
cana-4889	349	5	sandeep	sandeep	PROPN
cana-4889	349	6	kautish	kautish	PROPN
cana-4889	349	7	,	,	PUNCT
cana-4889	349	8	sapna	sapna	PROPN
cana-4889	349	9	juneja	juneja	PROPN
cana-4889	349	10	,	,	PUNCT
cana-4889	349	11	khalid	khalid	PROPN
cana-4889	349	12	mohiuddin	mohiuddin	NOUN
cana-4889	349	13	,	,	PUNCT
cana-4889	349	14	faten	faten	VERB
cana-4889	349	15	khalid	khalid	PROPN
cana-4889	349	16	karim	karim	PROPN
cana-4889	349	17	,	,	PUNCT
cana-4889	349	18	hela	hela	ADJ
cana-4889	349	19	elmannai	elmannai	NOUN
cana-4889	349	20	,	,	PUNCT
cana-4889	349	21	sara	sara	PROPN
cana-4889	349	22	ghorashi	ghorashi	PROPN
cana-4889	349	23	,	,	PUNCT
cana-4889	349	24	and	and	CCONJ
cana-4889	349	25	yasir	yasir	PROPN
cana-4889	349	26	hamid	hamid	PROPN
cana-4889	349	27	.	.	PROPN
cana-4889	349	28	2023	2023	NUM
cana-4889	349	29	.	.	PUNCT
cana-4889	350	1	"	"	PUNCT
cana-4889	350	2	enhanced	enhance	VERB
cana-4889	350	3	cloud	cloud	NOUN
cana-4889	350	4	storage	storage	NOUN
cana-4889	350	5	encryption	encryption	NOUN
cana-4889	350	6	standard	standard	NOUN
cana-4889	350	7	for	for	ADP
cana-4889	350	8	security	security	NOUN
cana-4889	350	9	in	in	ADP
cana-4889	350	10	distributed	distribute	VERB
cana-4889	350	11	environments	environment	NOUN
cana-4889	350	12	"	"	PUNCT
cana-4889	350	13	electronics	electronic	NOUN
cana-4889	350	14	12	12	NUM
cana-4889	350	15	,	,	PUNCT
cana-4889	350	16	no	no	INTJ
cana-4889	350	17	.	.	NOUN
cana-4889	351	1	3	3	NUM
cana-4889	351	2	:	:	SYM
cana-4889	351	3	714	714	NUM
cana-4889	351	4	.	.	PUNCT
cana-4889	352	1	19	19	NUM
cana-4889	352	2	.	.	PUNCT
cana-4889	353	1	k	k	PROPN
cana-4889	353	2	atja	atja	PROPN
cana-4889	353	3	schmidt	schmidt	PROPN
cana-4889	353	4	samoa	samoa	PROPN
cana-4889	353	5	2006	2006	NUM
cana-4889	353	6	,	,	PUNCT
cana-4889	353	7	'	'	PUNCT
cana-4889	353	8	a	a	DET
cana-4889	353	9	new	new	ADJ
cana-4889	353	10	rabin	rabin	NOUN
cana-4889	353	11	-	-	PUNCT
cana-4889	353	12	type	type	NOUN
cana-4889	353	13	trapdoor	trapdoor	NOUN
cana-4889	353	14	permutation	permutation	NOUN
cana-4889	353	15	equivalent	equivalent	ADJ
cana-4889	353	16	to	to	ADP
cana-4889	353	17	factoring	factor	VERB
cana-4889	353	18	'	'	PUNCT
cana-4889	353	19	,	,	PUNCT
cana-4889	353	20	electronic	electronic	ADJ
cana-4889	353	21	notes	note	NOUN
cana-4889	353	22	in	in	ADP
cana-4889	353	23	theoretical	theoretical	ADJ
cana-4889	353	24	computer	computer	NOUN
cana-4889	353	25	science	science	NOUN
cana-4889	353	26	,	,	PUNCT
cana-4889	353	27	elsevier	elsevier	NOUN
cana-4889	353	28	,	,	PUNCT
cana-4889	353	29	vol	vol	NOUN
cana-4889	353	30	.	.	PROPN
cana-4889	353	31	157	157	NUM
cana-4889	353	32	,	,	PUNCT
cana-4889	353	33	no	no	INTJ
cana-4889	353	34	.	.	NOUN
cana-4889	353	35	3	3	NUM
cana-4889	353	36	,	,	PUNCT
cana-4889	353	37	pp	pp	ADJ
cana-4889	353	38	.	.	PUNCT
cana-4889	354	1	79	79	NUM
cana-4889	354	2	-	-	SYM
cana-4889	354	3	94	94	NUM
cana-4889	354	4	.	.	PUNCT
cana-4889	355	1	20	20	NUM
cana-4889	355	2	.	.	PUNCT
cana-4889	355	3	neal	neal	PROPN
cana-4889	355	4	r	r	PROPN
cana-4889	355	5	wagner	wagner	PROPN
cana-4889	355	6	2003	2003	NUM
cana-4889	355	7	,	,	PUNCT
cana-4889	355	8	the	the	DET
cana-4889	355	9	laws	law	NOUN
cana-4889	355	10	of	of	ADP
cana-4889	355	11	cryptography	cryptography	NOUN
cana-4889	355	12	with	with	ADP
cana-4889	355	13	java	java	PROPN
cana-4889	355	14	code	code	PROPN
cana-4889	355	15	,	,	PUNCT
cana-4889	355	16	the	the	DET
cana-4889	355	17	university	university	PROPN
cana-4889	355	18	of	of	ADP
cana-4889	355	19	texas	texas	PROPN
cana-4889	355	20	,	,	PUNCT
cana-4889	355	21	san	san	PROPN
cana-4889	355	22	antonio	antonio	PROPN
cana-4889	355	23	.	.	PUNCT