id	sid	tid	token	lemma	pos
fuelectenerg-4161	1	1	facta	facta	PROPN
fuelectenerg-4161	1	2	universitatis	universitatis	PROPN
fuelectenerg-4161	1	3	series	series	NOUN
fuelectenerg-4161	1	4	:	:	PUNCT
fuelectenerg-4161	1	5	electronics	electronic	NOUN
fuelectenerg-4161	1	6	and	and	CCONJ
fuelectenerg-4161	1	7	energetics	energetics	NOUN
fuelectenerg-4161	1	8	vol	vol	NOUN
fuelectenerg-4161	1	9	.	.	PUNCT
fuelectenerg-4161	2	1	32	32	NUM
fuelectenerg-4161	2	2	,	,	PUNCT
fuelectenerg-4161	2	3	no	no	DET
fuelectenerg-4161	2	4	1	1	NUM
fuelectenerg-4161	2	5	,	,	PUNCT
fuelectenerg-4161	2	6	march	march	PROPN
fuelectenerg-4161	2	7	2019	2019	NUM
fuelectenerg-4161	2	8	,	,	PUNCT
fuelectenerg-4161	2	9	pp	pp	ADJ
fuelectenerg-4161	2	10	.	.	PUNCT
fuelectenerg-4161	3	1	129	129	NUM
fuelectenerg-4161	3	2	-	-	SYM
fuelectenerg-4161	3	3	145	145	NUM
fuelectenerg-4161	3	4	https://doi.org/10.2298/fuee1901129v	https://doi.org/10.2298/fuee1901129v	PROPN
fuelectenerg-4161	3	5	fpga	fpga	PROPN
fuelectenerg-4161	3	6	implementation	implementation	NOUN
fuelectenerg-4161	3	7	of	of	ADP
fuelectenerg-4161	3	8	modified	modify	VERB
fuelectenerg-4161	3	9	elliptic	elliptic	ADJ
fuelectenerg-4161	3	10	curve	curve	NOUN
fuelectenerg-4161	3	11	digital	digital	ADJ
fuelectenerg-4161	3	12	signature	signature	NOUN
fuelectenerg-4161	3	13	algorithm	algorithm	NOUN
fuelectenerg-4161	3	14	kamalakannan	kamalakannan	PROPN
fuelectenerg-4161	3	15	venkataraman	venkataraman	NOUN
fuelectenerg-4161	3	16	,	,	PUNCT
fuelectenerg-4161	3	17	tamilselvan	tamilselvan	ADJ
fuelectenerg-4161	3	18	sadasivam	sadasivam	ADJ
fuelectenerg-4161	3	19	department	department	NOUN
fuelectenerg-4161	3	20	of	of	ADP
fuelectenerg-4161	3	21	electronics	electronic	NOUN
fuelectenerg-4161	3	22	and	and	CCONJ
fuelectenerg-4161	3	23	communication	communication	NOUN
fuelectenerg-4161	3	24	engineering	engineering	NOUN
fuelectenerg-4161	3	25	,	,	PUNCT
fuelectenerg-4161	3	26	pondicherry	pondicherry	ADJ
fuelectenerg-4161	3	27	engineering	engineering	NOUN
fuelectenerg-4161	3	28	college	college	NOUN
fuelectenerg-4161	3	29	,	,	PUNCT
fuelectenerg-4161	3	30	pillaichavady	pillaichavady	NOUN
fuelectenerg-4161	3	31	,	,	PUNCT
fuelectenerg-4161	3	32	puducherry	puducherry	PROPN
fuelectenerg-4161	3	33	,	,	PUNCT
fuelectenerg-4161	3	34	india	india	PROPN
fuelectenerg-4161	3	35	abstract	abstract	NOUN
fuelectenerg-4161	3	36	.	.	PUNCT
fuelectenerg-4161	4	1	with	with	ADP
fuelectenerg-4161	4	2	rapid	rapid	ADJ
fuelectenerg-4161	4	3	deployment	deployment	NOUN
fuelectenerg-4161	4	4	of	of	ADP
fuelectenerg-4161	4	5	internet	internet	NOUN
fuelectenerg-4161	4	6	-	-	PUNCT
fuelectenerg-4161	4	7	of	of	ADP
fuelectenerg-4161	4	8	-	-	PUNCT
fuelectenerg-4161	4	9	things	thing	NOUN
fuelectenerg-4161	4	10	(	(	PUNCT
fuelectenerg-4161	4	11	iot	iot	NOUN
fuelectenerg-4161	4	12	)	)	PUNCT
fuelectenerg-4161	4	13	devices	device	NOUN
fuelectenerg-4161	4	14	,	,	PUNCT
fuelectenerg-4161	4	15	security	security	NOUN
fuelectenerg-4161	4	16	issues	issue	NOUN
fuelectenerg-4161	4	17	related	relate	VERB
fuelectenerg-4161	4	18	to	to	ADP
fuelectenerg-4161	4	19	data	datum	NOUN
fuelectenerg-4161	4	20	transmitted	transmit	VERB
fuelectenerg-4161	4	21	between	between	ADP
fuelectenerg-4161	4	22	the	the	DET
fuelectenerg-4161	4	23	devices	device	NOUN
fuelectenerg-4161	4	24	increases	increase	VERB
fuelectenerg-4161	4	25	.	.	PUNCT
fuelectenerg-4161	5	1	thus	thus	ADV
fuelectenerg-4161	5	2	the	the	DET
fuelectenerg-4161	5	3	integrity	integrity	NOUN
fuelectenerg-4161	5	4	of	of	ADP
fuelectenerg-4161	5	5	perceptual	perceptual	ADJ
fuelectenerg-4161	5	6	layer	layer	NOUN
fuelectenerg-4161	5	7	devices	device	NOUN
fuelectenerg-4161	5	8	is	be	AUX
fuelectenerg-4161	5	9	of	of	ADP
fuelectenerg-4161	5	10	utmost	utmost	ADJ
fuelectenerg-4161	5	11	importance	importance	NOUN
fuelectenerg-4161	5	12	to	to	PART
fuelectenerg-4161	5	13	secure	secure	VERB
fuelectenerg-4161	5	14	the	the	DET
fuelectenerg-4161	5	15	information	information	NOUN
fuelectenerg-4161	5	16	being	be	AUX
fuelectenerg-4161	5	17	transmitted	transmit	VERB
fuelectenerg-4161	5	18	between	between	ADP
fuelectenerg-4161	5	19	the	the	DET
fuelectenerg-4161	5	20	devices	device	NOUN
fuelectenerg-4161	5	21	.	.	PUNCT
fuelectenerg-4161	6	1	in	in	ADP
fuelectenerg-4161	6	2	a	a	DET
fuelectenerg-4161	6	3	secured	secure	VERB
fuelectenerg-4161	6	4	information	information	NOUN
fuelectenerg-4161	6	5	system	system	NOUN
fuelectenerg-4161	6	6	,	,	PUNCT
fuelectenerg-4161	6	7	digital	digital	ADJ
fuelectenerg-4161	6	8	signature	signature	NOUN
fuelectenerg-4161	6	9	generation	generation	NOUN
fuelectenerg-4161	6	10	and	and	CCONJ
fuelectenerg-4161	6	11	verification	verification	NOUN
fuelectenerg-4161	6	12	processes	process	NOUN
fuelectenerg-4161	6	13	are	be	AUX
fuelectenerg-4161	6	14	entirely	entirely	ADV
fuelectenerg-4161	6	15	different	different	ADJ
fuelectenerg-4161	6	16	from	from	ADP
fuelectenerg-4161	6	17	data	datum	NOUN
fuelectenerg-4161	6	18	encryption	encryption	NOUN
fuelectenerg-4161	6	19	and	and	CCONJ
fuelectenerg-4161	6	20	decryption	decryption	NOUN
fuelectenerg-4161	6	21	processes	process	NOUN
fuelectenerg-4161	6	22	.	.	PUNCT
fuelectenerg-4161	7	1	digital	digital	ADJ
fuelectenerg-4161	7	2	signatures	signature	NOUN
fuelectenerg-4161	7	3	are	be	AUX
fuelectenerg-4161	7	4	rapidly	rapidly	ADV
fuelectenerg-4161	7	5	emerging	emerge	VERB
fuelectenerg-4161	7	6	due	due	ADP
fuelectenerg-4161	7	7	to	to	ADP
fuelectenerg-4161	7	8	the	the	DET
fuelectenerg-4161	7	9	problems	problem	NOUN
fuelectenerg-4161	7	10	related	relate	VERB
fuelectenerg-4161	7	11	to	to	ADP
fuelectenerg-4161	7	12	data	datum	NOUN
fuelectenerg-4161	7	13	integrity	integrity	NOUN
fuelectenerg-4161	7	14	thus	thus	ADV
fuelectenerg-4161	7	15	playing	play	VERB
fuelectenerg-4161	7	16	a	a	DET
fuelectenerg-4161	7	17	crucial	crucial	ADJ
fuelectenerg-4161	7	18	role	role	NOUN
fuelectenerg-4161	7	19	in	in	ADP
fuelectenerg-4161	7	20	the	the	DET
fuelectenerg-4161	7	21	authentication	authentication	NOUN
fuelectenerg-4161	7	22	process	process	NOUN
fuelectenerg-4161	7	23	by	by	ADP
fuelectenerg-4161	7	24	enabling	enable	VERB
fuelectenerg-4161	7	25	the	the	DET
fuelectenerg-4161	7	26	sender	sender	NOUN
fuelectenerg-4161	7	27	to	to	PART
fuelectenerg-4161	7	28	attach	attach	VERB
fuelectenerg-4161	7	29	a	a	DET
fuelectenerg-4161	7	30	signature	signature	NOUN
fuelectenerg-4161	7	31	to	to	ADP
fuelectenerg-4161	7	32	the	the	DET
fuelectenerg-4161	7	33	encrypted	encrypt	VERB
fuelectenerg-4161	7	34	message	message	NOUN
fuelectenerg-4161	7	35	.	.	PUNCT
fuelectenerg-4161	8	1	based	base	VERB
fuelectenerg-4161	8	2	on	on	ADP
fuelectenerg-4161	8	3	the	the	DET
fuelectenerg-4161	8	4	devices	device	NOUN
fuelectenerg-4161	8	5	it	it	PRON
fuelectenerg-4161	8	6	is	be	AUX
fuelectenerg-4161	8	7	beneficial	beneficial	ADJ
fuelectenerg-4161	8	8	to	to	PART
fuelectenerg-4161	8	9	select	select	VERB
fuelectenerg-4161	8	10	an	an	DET
fuelectenerg-4161	8	11	algorithm	algorithm	NOUN
fuelectenerg-4161	8	12	showing	show	VERB
fuelectenerg-4161	8	13	favorable	favorable	ADJ
fuelectenerg-4161	8	14	behavior	behavior	NOUN
fuelectenerg-4161	8	15	,	,	PUNCT
fuelectenerg-4161	8	16	therefore	therefore	ADV
fuelectenerg-4161	8	17	keccak	keccak	PROPN
fuelectenerg-4161	8	18	-	-	PUNCT
fuelectenerg-4161	8	19	f	f	PROPN
fuelectenerg-4161	9	1	[	[	X
fuelectenerg-4161	9	2	1600	1600	NUM
fuelectenerg-4161	9	3	]	]	PUNCT
fuelectenerg-4161	9	4	algorithm	algorithm	NOUN
fuelectenerg-4161	9	5	is	be	AUX
fuelectenerg-4161	9	6	best	well	ADV
fuelectenerg-4161	9	7	suited	suit	VERB
fuelectenerg-4161	9	8	for	for	ADP
fuelectenerg-4161	9	9	devices	device	NOUN
fuelectenerg-4161	9	10	having	have	VERB
fuelectenerg-4161	9	11	area	area	NOUN
fuelectenerg-4161	9	12	and	and	CCONJ
fuelectenerg-4161	9	13	cost	cost	NOUN
fuelectenerg-4161	9	14	constraints	constraint	NOUN
fuelectenerg-4161	9	15	.	.	PUNCT
fuelectenerg-4161	10	1	in	in	ADP
fuelectenerg-4161	10	2	this	this	DET
fuelectenerg-4161	10	3	paper	paper	NOUN
fuelectenerg-4161	10	4	,	,	PUNCT
fuelectenerg-4161	10	5	implementation	implementation	NOUN
fuelectenerg-4161	10	6	of	of	ADP
fuelectenerg-4161	10	7	the	the	DET
fuelectenerg-4161	10	8	original	original	ADJ
fuelectenerg-4161	10	9	elliptic	elliptic	ADJ
fuelectenerg-4161	10	10	curve	curve	NOUN
fuelectenerg-4161	10	11	digital	digital	ADJ
fuelectenerg-4161	10	12	signature	signature	NOUN
fuelectenerg-4161	10	13	algorithm	algorithm	NOUN
fuelectenerg-4161	10	14	and	and	CCONJ
fuelectenerg-4161	10	15	its	its	PRON
fuelectenerg-4161	10	16	variants	variant	NOUN
fuelectenerg-4161	10	17	are	be	AUX
fuelectenerg-4161	10	18	considered	consider	VERB
fuelectenerg-4161	10	19	and	and	CCONJ
fuelectenerg-4161	10	20	evaluated	evaluate	VERB
fuelectenerg-4161	10	21	in	in	ADP
fuelectenerg-4161	10	22	terms	term	NOUN
fuelectenerg-4161	10	23	of	of	ADP
fuelectenerg-4161	10	24	the	the	DET
fuelectenerg-4161	10	25	security	security	NOUN
fuelectenerg-4161	10	26	level	level	NOUN
fuelectenerg-4161	10	27	and	and	CCONJ
fuelectenerg-4161	10	28	computational	computational	ADJ
fuelectenerg-4161	10	29	cost	cost	NOUN
fuelectenerg-4161	10	30	.	.	PUNCT
fuelectenerg-4161	11	1	here	here	ADV
fuelectenerg-4161	11	2	the	the	DET
fuelectenerg-4161	11	3	modified	modify	VERB
fuelectenerg-4161	11	4	ecdsa	ecdsa	PROPN
fuelectenerg-4161	11	5	scheme	scheme	NOUN
fuelectenerg-4161	11	6	concepts	concept	NOUN
fuelectenerg-4161	11	7	related	relate	VERB
fuelectenerg-4161	11	8	to	to	ADP
fuelectenerg-4161	11	9	signature	signature	NOUN
fuelectenerg-4161	11	10	generation	generation	NOUN
fuelectenerg-4161	11	11	and	and	CCONJ
fuelectenerg-4161	11	12	verification	verification	NOUN
fuelectenerg-4161	11	13	are	be	AUX
fuelectenerg-4161	11	14	similar	similar	ADJ
fuelectenerg-4161	11	15	to	to	ADP
fuelectenerg-4161	11	16	the	the	DET
fuelectenerg-4161	11	17	original	original	ADJ
fuelectenerg-4161	11	18	ecdsa	ecdsa	PROPN
fuelectenerg-4161	11	19	scheme	scheme	NOUN
fuelectenerg-4161	11	20	.	.	PUNCT
fuelectenerg-4161	12	1	the	the	DET
fuelectenerg-4161	12	2	computational	computational	ADJ
fuelectenerg-4161	12	3	cost	cost	NOUN
fuelectenerg-4161	12	4	of	of	ADP
fuelectenerg-4161	12	5	the	the	DET
fuelectenerg-4161	12	6	modified	modified	ADJ
fuelectenerg-4161	12	7	ecdsa	ecdsa	NOUN
fuelectenerg-4161	12	8	is	be	AUX
fuelectenerg-4161	12	9	reduced	reduce	VERB
fuelectenerg-4161	12	10	by	by	ADP
fuelectenerg-4161	12	11	removing	remove	VERB
fuelectenerg-4161	12	12	inverse	inverse	ADJ
fuelectenerg-4161	12	13	operation	operation	NOUN
fuelectenerg-4161	12	14	in	in	ADP
fuelectenerg-4161	12	15	key	key	ADJ
fuelectenerg-4161	12	16	generation	generation	NOUN
fuelectenerg-4161	12	17	and	and	CCONJ
fuelectenerg-4161	12	18	signing	signing	NOUN
fuelectenerg-4161	12	19	phase	phase	NOUN
fuelectenerg-4161	12	20	,	,	PUNCT
fuelectenerg-4161	12	21	also	also	ADV
fuelectenerg-4161	12	22	problems	problem	NOUN
fuelectenerg-4161	12	23	related	relate	VERB
fuelectenerg-4161	12	24	to	to	ADP
fuelectenerg-4161	12	25	signature	signature	NOUN
fuelectenerg-4161	12	26	being	be	AUX
fuelectenerg-4161	12	27	forged	forge	VERB
fuelectenerg-4161	12	28	are	be	AUX
fuelectenerg-4161	12	29	resolved	resolve	VERB
fuelectenerg-4161	12	30	using	use	VERB
fuelectenerg-4161	12	31	hidden	hide	VERB
fuelectenerg-4161	12	32	generator	generator	NOUN
fuelectenerg-4161	12	33	point	point	NOUN
fuelectenerg-4161	12	34	concept	concept	NOUN
fuelectenerg-4161	12	35	.	.	PUNCT
fuelectenerg-4161	13	1	hence	hence	ADV
fuelectenerg-4161	13	2	the	the	DET
fuelectenerg-4161	13	3	modified	modified	ADJ
fuelectenerg-4161	13	4	ecdsa	ecdsa	NOUN
fuelectenerg-4161	13	5	is	be	AUX
fuelectenerg-4161	13	6	more	more	ADV
fuelectenerg-4161	13	7	secure	secure	ADJ
fuelectenerg-4161	13	8	with	with	ADP
fuelectenerg-4161	13	9	less	less	ADJ
fuelectenerg-4161	13	10	computational	computational	ADJ
fuelectenerg-4161	13	11	cost	cost	NOUN
fuelectenerg-4161	13	12	when	when	SCONJ
fuelectenerg-4161	13	13	implemented	implement	VERB
fuelectenerg-4161	13	14	on	on	ADP
fuelectenerg-4161	13	15	fpga	fpga	PROPN
fuelectenerg-4161	13	16	using	use	VERB
fuelectenerg-4161	13	17	verilog	verilog	PROPN
fuelectenerg-4161	13	18	hdl	hdl	PROPN
fuelectenerg-4161	13	19	.	.	PUNCT
fuelectenerg-4161	14	1	therefore	therefore	ADV
fuelectenerg-4161	14	2	,	,	PUNCT
fuelectenerg-4161	14	3	this	this	DET
fuelectenerg-4161	14	4	algorithm	algorithm	NOUN
fuelectenerg-4161	14	5	can	can	AUX
fuelectenerg-4161	14	6	be	be	AUX
fuelectenerg-4161	14	7	applied	apply	VERB
fuelectenerg-4161	14	8	for	for	SCONJ
fuelectenerg-4161	14	9	the	the	DET
fuelectenerg-4161	14	10	devices	device	NOUN
fuelectenerg-4161	14	11	being	be	AUX
fuelectenerg-4161	14	12	connected	connect	VERB
fuelectenerg-4161	14	13	in	in	ADP
fuelectenerg-4161	14	14	perceptual	perceptual	ADJ
fuelectenerg-4161	14	15	layer	layer	NOUN
fuelectenerg-4161	14	16	of	of	ADP
fuelectenerg-4161	14	17	the	the	DET
fuelectenerg-4161	14	18	iot	iot	NOUN
fuelectenerg-4161	14	19	.	.	PUNCT
fuelectenerg-4161	15	1	key	key	ADJ
fuelectenerg-4161	15	2	words	word	NOUN
fuelectenerg-4161	15	3	:	:	PUNCT
fuelectenerg-4161	15	4	internet	internet	NOUN
fuelectenerg-4161	15	5	of	of	ADP
fuelectenerg-4161	15	6	things	thing	NOUN
fuelectenerg-4161	15	7	,	,	PUNCT
fuelectenerg-4161	15	8	elliptic	elliptic	ADJ
fuelectenerg-4161	15	9	curve	curve	NOUN
fuelectenerg-4161	15	10	cryptography	cryptography	NOUN
fuelectenerg-4161	15	11	,	,	PUNCT
fuelectenerg-4161	15	12	elliptic	elliptic	ADJ
fuelectenerg-4161	15	13	curve	curve	NOUN
fuelectenerg-4161	15	14	digital	digital	ADJ
fuelectenerg-4161	15	15	signature	signature	NOUN
fuelectenerg-4161	15	16	algorithm	algorithm	NOUN
fuelectenerg-4161	15	17	,	,	PUNCT
fuelectenerg-4161	15	18	secured	secure	VERB
fuelectenerg-4161	15	19	hash	hash	NOUN
fuelectenerg-4161	15	20	algorithm	algorithm	NOUN
fuelectenerg-4161	15	21	,	,	PUNCT
fuelectenerg-4161	15	22	keccak	keccak	PROPN
fuelectenerg-4161	15	23	1	1	NUM
fuelectenerg-4161	15	24	.	.	X
fuelectenerg-4161	15	25	introduction	introduction	NOUN
fuelectenerg-4161	15	26	the	the	DET
fuelectenerg-4161	15	27	internet	internet	NOUN
fuelectenerg-4161	15	28	of	of	ADP
fuelectenerg-4161	15	29	things	thing	NOUN
fuelectenerg-4161	15	30	(	(	PUNCT
fuelectenerg-4161	15	31	iot	iot	NOUN
fuelectenerg-4161	15	32	)	)	PUNCT
fuelectenerg-4161	15	33	represents	represent	VERB
fuelectenerg-4161	15	34	a	a	DET
fuelectenerg-4161	15	35	network	network	NOUN
fuelectenerg-4161	15	36	of	of	ADP
fuelectenerg-4161	15	37	independent	independent	ADJ
fuelectenerg-4161	15	38	devices	device	NOUN
fuelectenerg-4161	15	39	interconnected	interconnect	VERB
fuelectenerg-4161	15	40	globally	globally	ADV
fuelectenerg-4161	15	41	.	.	PUNCT
fuelectenerg-4161	16	1	in	in	ADP
fuelectenerg-4161	16	2	the	the	DET
fuelectenerg-4161	16	3	iot	iot	ADJ
fuelectenerg-4161	16	4	enormous	enormous	ADJ
fuelectenerg-4161	16	5	amounts	amount	NOUN
fuelectenerg-4161	16	6	of	of	ADP
fuelectenerg-4161	16	7	information	information	NOUN
fuelectenerg-4161	16	8	have	have	VERB
fuelectenerg-4161	16	9	to	to	PART
fuelectenerg-4161	16	10	be	be	AUX
fuelectenerg-4161	16	11	communicated	communicate	VERB
fuelectenerg-4161	16	12	,	,	PUNCT
fuelectenerg-4161	16	13	stored	store	VERB
fuelectenerg-4161	16	14	,	,	PUNCT
fuelectenerg-4161	16	15	processed	process	VERB
fuelectenerg-4161	16	16	and	and	CCONJ
fuelectenerg-4161	16	17	analyzed	analyze	VERB
fuelectenerg-4161	16	18	securely	securely	ADV
fuelectenerg-4161	16	19	.	.	PUNCT
fuelectenerg-4161	17	1	securing	secure	VERB
fuelectenerg-4161	17	2	these	these	DET
fuelectenerg-4161	17	3	pieces	piece	NOUN
fuelectenerg-4161	17	4	of	of	ADP
fuelectenerg-4161	17	5	information	information	NOUN
fuelectenerg-4161	17	6	is	be	AUX
fuelectenerg-4161	17	7	one	one	NUM
fuelectenerg-4161	17	8	of	of	ADP
fuelectenerg-4161	17	9	the	the	DET
fuelectenerg-4161	17	10	fundamental	fundamental	ADJ
fuelectenerg-4161	17	11	challenges	challenge	NOUN
fuelectenerg-4161	17	12	in	in	ADP
fuelectenerg-4161	17	13	the	the	DET
fuelectenerg-4161	17	14	iot	iot	NOUN
fuelectenerg-4161	17	15	.	.	PUNCT
fuelectenerg-4161	18	1	many	many	ADJ
fuelectenerg-4161	18	2	iot	iot	ADJ
fuelectenerg-4161	18	3	products	product	NOUN
fuelectenerg-4161	18	4	consist	consist	VERB
fuelectenerg-4161	18	5	of	of	ADP
fuelectenerg-4161	18	6	inexpensive	inexpensive	ADJ
fuelectenerg-4161	18	7	components	component	NOUN
fuelectenerg-4161	18	8	received	receive	VERB
fuelectenerg-4161	18	9	june	june	PROPN
fuelectenerg-4161	18	10	20	20	NUM
fuelectenerg-4161	18	11	,	,	PUNCT
fuelectenerg-4161	18	12	2018	2018	NUM
fuelectenerg-4161	18	13	;	;	PUNCT
fuelectenerg-4161	18	14	received	receive	VERB
fuelectenerg-4161	18	15	in	in	ADP
fuelectenerg-4161	18	16	revised	revise	VERB
fuelectenerg-4161	18	17	form	form	NOUN
fuelectenerg-4161	18	18	september	september	PROPN
fuelectenerg-4161	18	19	26	26	NUM
fuelectenerg-4161	18	20	,	,	PUNCT
fuelectenerg-4161	18	21	2018	2018	NUM
fuelectenerg-4161	18	22	corresponding	correspond	VERB
fuelectenerg-4161	18	23	author	author	NOUN
fuelectenerg-4161	18	24	:	:	PUNCT
fuelectenerg-4161	18	25	kamalakannan	kamalakannan	PROPN
fuelectenerg-4161	18	26	venkataraman	venkataraman	PROPN
fuelectenerg-4161	18	27	department	department	PROPN
fuelectenerg-4161	18	28	of	of	ADP
fuelectenerg-4161	18	29	electronics	electronic	NOUN
fuelectenerg-4161	18	30	and	and	CCONJ
fuelectenerg-4161	18	31	communication	communication	NOUN
fuelectenerg-4161	18	32	engineering	engineering	NOUN
fuelectenerg-4161	18	33	,	,	PUNCT
fuelectenerg-4161	18	34	pondicherry	pondicherry	ADJ
fuelectenerg-4161	18	35	engineering	engineering	NOUN
fuelectenerg-4161	18	36	college	college	NOUN
fuelectenerg-4161	18	37	,	,	PUNCT
fuelectenerg-4161	18	38	pillaichavady	pillaichavady	NOUN
fuelectenerg-4161	18	39	,	,	PUNCT
fuelectenerg-4161	18	40	puducherry	puducherry	PROPN
fuelectenerg-4161	18	41	,	,	PUNCT
fuelectenerg-4161	18	42	india	india	PROPN
fuelectenerg-4161	18	43	(	(	PUNCT
fuelectenerg-4161	18	44	e	e	NOUN
fuelectenerg-4161	18	45	-	-	NOUN
fuelectenerg-4161	18	46	mail	mail	NOUN
fuelectenerg-4161	18	47	:	:	PUNCT
fuelectenerg-4161	18	48	vkamalakannan@pec.edu	vkamalakannan@pec.edu	NOUN
fuelectenerg-4161	18	49	)	)	PUNCT
fuelectenerg-4161	18	50	130	130	NUM
fuelectenerg-4161	18	51	v.	v.	ADP
fuelectenerg-4161	18	52	kamalakannan	kamalakannan	PROPN
fuelectenerg-4161	18	53	,	,	PUNCT
fuelectenerg-4161	18	54	s.	s.	PROPN
fuelectenerg-4161	18	55	tamilselvan	tamilselvan	PROPN
fuelectenerg-4161	18	56	with	with	ADP
fuelectenerg-4161	18	57	limited	limited	ADJ
fuelectenerg-4161	18	58	memory	memory	NOUN
fuelectenerg-4161	18	59	and	and	CCONJ
fuelectenerg-4161	18	60	computational	computational	ADJ
fuelectenerg-4161	18	61	resources	resource	NOUN
fuelectenerg-4161	18	62	.	.	PUNCT
fuelectenerg-4161	19	1	such	such	ADJ
fuelectenerg-4161	19	2	devices	device	NOUN
fuelectenerg-4161	19	3	might	might	AUX
fuelectenerg-4161	19	4	be	be	AUX
fuelectenerg-4161	19	5	unable	unable	ADJ
fuelectenerg-4161	19	6	to	to	PART
fuelectenerg-4161	19	7	support	support	VERB
fuelectenerg-4161	19	8	the	the	DET
fuelectenerg-4161	19	9	computationally	computationally	ADV
fuelectenerg-4161	19	10	intense	intense	ADJ
fuelectenerg-4161	19	11	cryptographic	cryptographic	ADJ
fuelectenerg-4161	19	12	functions	function	NOUN
fuelectenerg-4161	19	13	of	of	ADP
fuelectenerg-4161	19	14	asymmetrical	asymmetrical	ADJ
fuelectenerg-4161	19	15	cryptography	cryptography	NOUN
fuelectenerg-4161	19	16	.	.	PUNCT
fuelectenerg-4161	20	1	if	if	SCONJ
fuelectenerg-4161	20	2	designers	designer	NOUN
fuelectenerg-4161	20	3	considered	consider	VERB
fuelectenerg-4161	20	4	the	the	DET
fuelectenerg-4161	20	5	privacy	privacy	NOUN
fuelectenerg-4161	20	6	implications	implication	NOUN
fuelectenerg-4161	20	7	of	of	ADP
fuelectenerg-4161	20	8	unencrypted	unencrypted	ADJ
fuelectenerg-4161	20	9	data	datum	NOUN
fuelectenerg-4161	20	10	,	,	PUNCT
fuelectenerg-4161	20	11	they	they	PRON
fuelectenerg-4161	20	12	have	have	VERB
fuelectenerg-4161	20	13	limited	limit	VERB
fuelectenerg-4161	20	14	options	option	NOUN
fuelectenerg-4161	20	15	for	for	ADP
fuelectenerg-4161	20	16	encryption	encryption	NOUN
fuelectenerg-4161	20	17	because	because	SCONJ
fuelectenerg-4161	20	18	of	of	ADP
fuelectenerg-4161	20	19	this	this	DET
fuelectenerg-4161	20	20	hardware	hardware	NOUN
fuelectenerg-4161	20	21	platform	platform	NOUN
fuelectenerg-4161	20	22	.	.	PUNCT
fuelectenerg-4161	21	1	therefore	therefore	ADV
fuelectenerg-4161	21	2	the	the	DET
fuelectenerg-4161	21	3	designers	designer	NOUN
fuelectenerg-4161	21	4	have	have	VERB
fuelectenerg-4161	21	5	to	to	PART
fuelectenerg-4161	21	6	create	create	VERB
fuelectenerg-4161	21	7	their	their	PRON
fuelectenerg-4161	21	8	own	own	ADJ
fuelectenerg-4161	21	9	security	security	NOUN
fuelectenerg-4161	21	10	protocols	protocol	NOUN
fuelectenerg-4161	21	11	.	.	PUNCT
fuelectenerg-4161	22	1	as	as	SCONJ
fuelectenerg-4161	22	2	it	it	PRON
fuelectenerg-4161	22	3	is	be	AUX
fuelectenerg-4161	22	4	known	know	VERB
fuelectenerg-4161	22	5	cryptography	cryptography	NOUN
fuelectenerg-4161	22	6	is	be	AUX
fuelectenerg-4161	22	7	the	the	DET
fuelectenerg-4161	22	8	branch	branch	NOUN
fuelectenerg-4161	22	9	of	of	ADP
fuelectenerg-4161	22	10	cryptology	cryptology	NOUN
fuelectenerg-4161	22	11	dealing	deal	VERB
fuelectenerg-4161	22	12	with	with	ADP
fuelectenerg-4161	22	13	the	the	DET
fuelectenerg-4161	22	14	design	design	NOUN
fuelectenerg-4161	22	15	of	of	ADP
fuelectenerg-4161	22	16	algorithms	algorithm	NOUN
fuelectenerg-4161	22	17	for	for	ADP
fuelectenerg-4161	22	18	encryption	encryption	NOUN
fuelectenerg-4161	22	19	and	and	CCONJ
fuelectenerg-4161	22	20	decryption	decryption	NOUN
fuelectenerg-4161	22	21	,	,	PUNCT
fuelectenerg-4161	22	22	intended	intend	VERB
fuelectenerg-4161	22	23	to	to	PART
fuelectenerg-4161	22	24	ensure	ensure	VERB
fuelectenerg-4161	22	25	the	the	DET
fuelectenerg-4161	22	26	secrecy	secrecy	NOUN
fuelectenerg-4161	22	27	and/or	and/or	CCONJ
fuelectenerg-4161	22	28	authenticity	authenticity	NOUN
fuelectenerg-4161	22	29	of	of	ADP
fuelectenerg-4161	22	30	message	message	NOUN
fuelectenerg-4161	22	31	[	[	X
fuelectenerg-4161	22	32	1	1	NUM
fuelectenerg-4161	22	33	]	]	PUNCT
fuelectenerg-4161	22	34	.	.	PUNCT
fuelectenerg-4161	23	1	in	in	ADP
fuelectenerg-4161	23	2	1985	1985	NUM
fuelectenerg-4161	23	3	neal	neal	PROPN
fuelectenerg-4161	23	4	koblitz	koblitz	PROPN
fuelectenerg-4161	23	5	and	and	CCONJ
fuelectenerg-4161	23	6	victor	victor	PROPN
fuelectenerg-4161	23	7	s.	s.	PROPN
fuelectenerg-4161	23	8	suggested	suggest	VERB
fuelectenerg-4161	23	9	that	that	SCONJ
fuelectenerg-4161	23	10	the	the	DET
fuelectenerg-4161	23	11	public	public	ADJ
fuelectenerg-4161	23	12	key	key	ADJ
fuelectenerg-4161	23	13	cryptography	cryptography	NOUN
fuelectenerg-4161	23	14	relates	relate	VERB
fuelectenerg-4161	23	15	to	to	ADP
fuelectenerg-4161	23	16	the	the	DET
fuelectenerg-4161	23	17	algebraic	algebraic	ADJ
fuelectenerg-4161	23	18	structure	structure	NOUN
fuelectenerg-4161	23	19	of	of	ADP
fuelectenerg-4161	23	20	elliptic	elliptic	ADJ
fuelectenerg-4161	23	21	curve	curve	NOUN
fuelectenerg-4161	23	22	(	(	PUNCT
fuelectenerg-4161	23	23	ec	ec	PROPN
fuelectenerg-4161	23	24	)	)	PUNCT
fuelectenerg-4161	23	25	over	over	ADP
fuelectenerg-4161	23	26	finite	finite	ADJ
fuelectenerg-4161	23	27	fields	field	NOUN
fuelectenerg-4161	23	28	.	.	PUNCT
fuelectenerg-4161	24	1	the	the	DET
fuelectenerg-4161	24	2	digital	digital	ADJ
fuelectenerg-4161	24	3	signature	signature	NOUN
fuelectenerg-4161	24	4	algorithm	algorithm	NOUN
fuelectenerg-4161	24	5	(	(	PUNCT
fuelectenerg-4161	24	6	dsa	dsa	PROPN
fuelectenerg-4161	24	7	)	)	PUNCT
fuelectenerg-4161	24	8	was	be	AUX
fuelectenerg-4161	24	9	proposed	propose	VERB
fuelectenerg-4161	24	10	in	in	ADP
fuelectenerg-4161	24	11	august	august	PROPN
fuelectenerg-4161	24	12	1991	1991	NUM
fuelectenerg-4161	24	13	by	by	ADP
fuelectenerg-4161	24	14	the	the	DET
fuelectenerg-4161	24	15	u.s	u.s	PROPN
fuelectenerg-4161	24	16	.	.	PROPN
fuelectenerg-4161	24	17	national	national	PROPN
fuelectenerg-4161	24	18	institute	institute	PROPN
fuelectenerg-4161	24	19	of	of	ADP
fuelectenerg-4161	24	20	standards	standard	NOUN
fuelectenerg-4161	24	21	and	and	CCONJ
fuelectenerg-4161	24	22	technology	technology	NOUN
fuelectenerg-4161	24	23	(	(	PUNCT
fuelectenerg-4161	24	24	nist	nist	NOUN
fuelectenerg-4161	24	25	)	)	PUNCT
fuelectenerg-4161	24	26	and	and	CCONJ
fuelectenerg-4161	24	27	was	be	AUX
fuelectenerg-4161	24	28	specified	specify	VERB
fuelectenerg-4161	24	29	in	in	ADP
fuelectenerg-4161	24	30	a	a	DET
fuelectenerg-4161	24	31	u.s	u.s	PROPN
fuelectenerg-4161	24	32	.	.	PROPN
fuelectenerg-4161	24	33	government	government	NOUN
fuelectenerg-4161	24	34	federal	federal	ADJ
fuelectenerg-4161	24	35	information	information	NOUN
fuelectenerg-4161	24	36	processing	processing	NOUN
fuelectenerg-4161	24	37	standard	standard	NOUN
fuelectenerg-4161	24	38	(	(	PUNCT
fuelectenerg-4161	24	39	fips	fip	NOUN
fuelectenerg-4161	24	40	)	)	PUNCT
fuelectenerg-4161	24	41	186	186	NUM
fuelectenerg-4161	24	42	called	call	VERB
fuelectenerg-4161	24	43	the	the	DET
fuelectenerg-4161	24	44	digital	digital	ADJ
fuelectenerg-4161	24	45	signature	signature	NOUN
fuelectenerg-4161	24	46	standard	standard	NOUN
fuelectenerg-4161	24	47	(	(	PUNCT
fuelectenerg-4161	24	48	dss	dss	NOUN
fuelectenerg-4161	24	49	)	)	PUNCT
fuelectenerg-4161	24	50	.	.	PUNCT
fuelectenerg-4161	25	1	in	in	ADP
fuelectenerg-4161	25	2	1992	1992	NUM
fuelectenerg-4161	25	3	scott	scott	PROPN
fuelectenerg-4161	25	4	vanstone	vanstone	NOUN
fuelectenerg-4161	25	5	proposed	propose	VERB
fuelectenerg-4161	25	6	elliptic	elliptic	ADJ
fuelectenerg-4161	25	7	curve	curve	NOUN
fuelectenerg-4161	25	8	digital	digital	ADJ
fuelectenerg-4161	25	9	signature	signature	NOUN
fuelectenerg-4161	25	10	algorithm	algorithm	NOUN
fuelectenerg-4161	25	11	(	(	PUNCT
fuelectenerg-4161	25	12	ecdsa	ecdsa	PROPN
fuelectenerg-4161	25	13	)	)	PUNCT
fuelectenerg-4161	25	14	because	because	SCONJ
fuelectenerg-4161	25	15	nist	nist	PROPN
fuelectenerg-4161	25	16	requested	request	VERB
fuelectenerg-4161	25	17	public	public	ADJ
fuelectenerg-4161	25	18	comment	comment	NOUN
fuelectenerg-4161	25	19	related	relate	VERB
fuelectenerg-4161	25	20	to	to	ADP
fuelectenerg-4161	25	21	dss	dss	NOUN
fuelectenerg-4161	25	22	proposal	proposal	NOUN
fuelectenerg-4161	25	23	.	.	PUNCT
fuelectenerg-4161	26	1	in	in	ADP
fuelectenerg-4161	26	2	1998	1998	NUM
fuelectenerg-4161	26	3	it	it	PRON
fuelectenerg-4161	26	4	was	be	AUX
fuelectenerg-4161	26	5	accepted	accept	VERB
fuelectenerg-4161	26	6	as	as	ADP
fuelectenerg-4161	26	7	iso	iso	NOUN
fuelectenerg-4161	26	8	14888	14888	NUM
fuelectenerg-4161	26	9	-	-	SYM
fuelectenerg-4161	26	10	3	3	NUM
fuelectenerg-4161	26	11	standard	standard	NOUN
fuelectenerg-4161	26	12	by	by	ADP
fuelectenerg-4161	26	13	international	international	ADJ
fuelectenerg-4161	26	14	standards	standard	NOUN
fuelectenerg-4161	26	15	organization	organization	NOUN
fuelectenerg-4161	26	16	(	(	PUNCT
fuelectenerg-4161	26	17	iso	iso	NOUN
fuelectenerg-4161	26	18	)	)	PUNCT
fuelectenerg-4161	26	19	and	and	CCONJ
fuelectenerg-4161	26	20	in	in	ADP
fuelectenerg-4161	26	21	1999	1999	NUM
fuelectenerg-4161	26	22	it	it	PRON
fuelectenerg-4161	26	23	was	be	AUX
fuelectenerg-4161	26	24	accepted	accept	VERB
fuelectenerg-4161	26	25	as	as	ADP
fuelectenerg-4161	26	26	ansi	ansi	PROPN
fuelectenerg-4161	26	27	x9.62	x9.62	PROPN
fuelectenerg-4161	26	28	standard	standard	PROPN
fuelectenerg-4161	26	29	by	by	ADP
fuelectenerg-4161	26	30	american	american	PROPN
fuelectenerg-4161	26	31	national	national	PROPN
fuelectenerg-4161	26	32	standard	standard	PROPN
fuelectenerg-4161	26	33	institute	institute	PROPN
fuelectenerg-4161	26	34	(	(	PUNCT
fuelectenerg-4161	26	35	ansi	ansi	PROPN
fuelectenerg-4161	26	36	)	)	PUNCT
fuelectenerg-4161	26	37	.	.	PUNCT
fuelectenerg-4161	27	1	in	in	ADP
fuelectenerg-4161	27	2	2000	2000	NUM
fuelectenerg-4161	27	3	it	it	PRON
fuelectenerg-4161	27	4	was	be	AUX
fuelectenerg-4161	27	5	accepted	accept	VERB
fuelectenerg-4161	27	6	as	as	ADP
fuelectenerg-4161	27	7	ieee	ieee	NOUN
fuelectenerg-4161	27	8	1363	1363	NUM
fuelectenerg-4161	27	9	-	-	SYM
fuelectenerg-4161	27	10	2000	2000	NUM
fuelectenerg-4161	27	11	standard	standard	NOUN
fuelectenerg-4161	27	12	by	by	ADP
fuelectenerg-4161	27	13	institute	institute	PROPN
fuelectenerg-4161	27	14	of	of	ADP
fuelectenerg-4161	27	15	electrical	electrical	ADJ
fuelectenerg-4161	27	16	and	and	CCONJ
fuelectenerg-4161	27	17	electronics	electronic	NOUN
fuelectenerg-4161	27	18	engineers	engineer	NOUN
fuelectenerg-4161	27	19	(	(	PUNCT
fuelectenerg-4161	27	20	ieee	ieee	NOUN
fuelectenerg-4161	27	21	)	)	PUNCT
fuelectenerg-4161	27	22	and	and	CCONJ
fuelectenerg-4161	27	23	fips	fip	NOUN
fuelectenerg-4161	27	24	186	186	NUM
fuelectenerg-4161	27	25	-	-	SYM
fuelectenerg-4161	27	26	2	2	NUM
fuelectenerg-4161	27	27	standard	standard	NOUN
fuelectenerg-4161	27	28	by	by	ADP
fuelectenerg-4161	27	29	federal	federal	ADJ
fuelectenerg-4161	27	30	information	information	NOUN
fuelectenerg-4161	27	31	processing	processing	NOUN
fuelectenerg-4161	27	32	standards	standard	NOUN
fuelectenerg-4161	27	33	(	(	PUNCT
fuelectenerg-4161	27	34	fips	fip	NOUN
fuelectenerg-4161	27	35	)	)	PUNCT
fuelectenerg-4161	27	36	.	.	PUNCT
fuelectenerg-4161	28	1	elliptic	elliptic	ADJ
fuelectenerg-4161	28	2	curve	curve	NOUN
fuelectenerg-4161	28	3	cryptography	cryptography	NOUN
fuelectenerg-4161	28	4	(	(	PUNCT
fuelectenerg-4161	28	5	ecc	ecc	PROPN
fuelectenerg-4161	28	6	)	)	PUNCT
fuelectenerg-4161	28	7	is	be	AUX
fuelectenerg-4161	28	8	a	a	DET
fuelectenerg-4161	28	9	public	public	ADJ
fuelectenerg-4161	28	10	cryptography	cryptography	NOUN
fuelectenerg-4161	28	11	that	that	PRON
fuelectenerg-4161	28	12	has	have	VERB
fuelectenerg-4161	28	13	a	a	DET
fuelectenerg-4161	28	14	mathematical	mathematical	ADJ
fuelectenerg-4161	28	15	advantage	advantage	NOUN
fuelectenerg-4161	28	16	when	when	SCONJ
fuelectenerg-4161	28	17	compared	compare	VERB
fuelectenerg-4161	28	18	to	to	ADP
fuelectenerg-4161	28	19	rivest	riv	ADJ
fuelectenerg-4161	28	20	shamir	shamir	PROPN
fuelectenerg-4161	28	21	adleman	adleman	NOUN
fuelectenerg-4161	28	22	(	(	PUNCT
fuelectenerg-4161	28	23	rsa	rsa	PROPN
fuelectenerg-4161	28	24	)	)	PUNCT
fuelectenerg-4161	28	25	as	as	SCONJ
fuelectenerg-4161	28	26	it	it	PRON
fuelectenerg-4161	28	27	requires	require	VERB
fuelectenerg-4161	28	28	full	full	ADJ
fuelectenerg-4161	28	29	exponential	exponential	ADJ
fuelectenerg-4161	28	30	time	time	NOUN
fuelectenerg-4161	28	31	for	for	ADP
fuelectenerg-4161	28	32	solving	solve	VERB
fuelectenerg-4161	28	33	elliptic	elliptic	ADJ
fuelectenerg-4161	28	34	curve	curve	NOUN
fuelectenerg-4161	28	35	discrete	discrete	ADJ
fuelectenerg-4161	28	36	logarithmic	logarithmic	ADJ
fuelectenerg-4161	28	37	problem	problem	NOUN
fuelectenerg-4161	28	38	(	(	PUNCT
fuelectenerg-4161	28	39	ecdlp	ecdlp	NOUN
fuelectenerg-4161	28	40	)	)	PUNCT
fuelectenerg-4161	28	41	.	.	PUNCT
fuelectenerg-4161	29	1	the	the	DET
fuelectenerg-4161	29	2	ecdlp	ecdlp	NOUN
fuelectenerg-4161	29	3	is	be	AUX
fuelectenerg-4161	29	4	distributed	distribute	VERB
fuelectenerg-4161	29	5	over	over	ADP
fuelectenerg-4161	29	6	points	point	NOUN
fuelectenerg-4161	29	7	on	on	ADP
fuelectenerg-4161	29	8	the	the	DET
fuelectenerg-4161	29	9	elliptic	elliptic	ADJ
fuelectenerg-4161	29	10	curve	curve	NOUN
fuelectenerg-4161	29	11	(	(	PUNCT
fuelectenerg-4161	29	12	ec	ec	PROPN
fuelectenerg-4161	29	13	)	)	PUNCT
fuelectenerg-4161	29	14	.	.	PUNCT
fuelectenerg-4161	30	1	a	a	DET
fuelectenerg-4161	30	2	digital	digital	ADJ
fuelectenerg-4161	30	3	signature	signature	NOUN
fuelectenerg-4161	30	4	is	be	AUX
fuelectenerg-4161	30	5	generally	generally	ADV
fuelectenerg-4161	30	6	an	an	DET
fuelectenerg-4161	30	7	authentication	authentication	NOUN
fuelectenerg-4161	30	8	process	process	NOUN
fuelectenerg-4161	30	9	that	that	PRON
fuelectenerg-4161	30	10	enables	enable	VERB
fuelectenerg-4161	30	11	the	the	DET
fuelectenerg-4161	30	12	sender	sender	NOUN
fuelectenerg-4161	30	13	to	to	PART
fuelectenerg-4161	30	14	attach	attach	VERB
fuelectenerg-4161	30	15	a	a	DET
fuelectenerg-4161	30	16	signature	signature	NOUN
fuelectenerg-4161	30	17	to	to	ADP
fuelectenerg-4161	30	18	a	a	DET
fuelectenerg-4161	30	19	message	message	NOUN
fuelectenerg-4161	30	20	,	,	PUNCT
fuelectenerg-4161	30	21	thus	thus	ADV
fuelectenerg-4161	30	22	comprises	comprise	NOUN
fuelectenerg-4161	30	23	of	of	ADP
fuelectenerg-4161	30	24	digital	digital	ADJ
fuelectenerg-4161	30	25	signature	signature	NOUN
fuelectenerg-4161	30	26	generation	generation	NOUN
fuelectenerg-4161	30	27	and	and	CCONJ
fuelectenerg-4161	30	28	digital	digital	ADJ
fuelectenerg-4161	30	29	signature	signature	NOUN
fuelectenerg-4161	30	30	verification	verification	NOUN
fuelectenerg-4161	30	31	processes	process	NOUN
fuelectenerg-4161	30	32	[	[	X
fuelectenerg-4161	30	33	2	2	NUM
fuelectenerg-4161	30	34	]	]	PUNCT
fuelectenerg-4161	30	35	.	.	PUNCT
fuelectenerg-4161	31	1	the	the	DET
fuelectenerg-4161	31	2	integrity	integrity	NOUN
fuelectenerg-4161	31	3	of	of	ADP
fuelectenerg-4161	31	4	the	the	DET
fuelectenerg-4161	31	5	message	message	NOUN
fuelectenerg-4161	31	6	is	be	AUX
fuelectenerg-4161	31	7	guaranteed	guarantee	VERB
fuelectenerg-4161	31	8	because	because	SCONJ
fuelectenerg-4161	31	9	the	the	DET
fuelectenerg-4161	31	10	digital	digital	ADJ
fuelectenerg-4161	31	11	signatures	signature	NOUN
fuelectenerg-4161	31	12	detects	detect	NOUN
fuelectenerg-4161	31	13	and	and	CCONJ
fuelectenerg-4161	31	14	stops	stop	VERB
fuelectenerg-4161	31	15	unauthorized	unauthorized	ADJ
fuelectenerg-4161	31	16	users	user	NOUN
fuelectenerg-4161	31	17	from	from	ADP
fuelectenerg-4161	31	18	modifying	modify	VERB
fuelectenerg-4161	31	19	the	the	DET
fuelectenerg-4161	31	20	data	datum	NOUN
fuelectenerg-4161	31	21	and	and	CCONJ
fuelectenerg-4161	31	22	also	also	ADV
fuelectenerg-4161	31	23	authenticates	authenticate	VERB
fuelectenerg-4161	31	24	the	the	DET
fuelectenerg-4161	31	25	identity	identity	NOUN
fuelectenerg-4161	31	26	of	of	ADP
fuelectenerg-4161	31	27	the	the	DET
fuelectenerg-4161	31	28	signatory	signatory	NOUN
fuelectenerg-4161	31	29	.	.	PUNCT
fuelectenerg-4161	32	1	generally	generally	ADV
fuelectenerg-4161	32	2	,	,	PUNCT
fuelectenerg-4161	32	3	the	the	DET
fuelectenerg-4161	32	4	ecdsa	ecdsa	NOUN
fuelectenerg-4161	32	5	is	be	AUX
fuelectenerg-4161	32	6	an	an	DET
fuelectenerg-4161	32	7	elliptic	elliptic	ADJ
fuelectenerg-4161	32	8	curve	curve	NOUN
fuelectenerg-4161	32	9	variant	variant	NOUN
fuelectenerg-4161	32	10	of	of	ADP
fuelectenerg-4161	32	11	the	the	DET
fuelectenerg-4161	32	12	dsa	dsa	NOUN
fuelectenerg-4161	32	13	and	and	CCONJ
fuelectenerg-4161	32	14	it	it	PRON
fuelectenerg-4161	32	15	gives	give	VERB
fuelectenerg-4161	32	16	cryptographically	cryptographically	ADV
fuelectenerg-4161	32	17	strong	strong	ADJ
fuelectenerg-4161	32	18	digital	digital	ADJ
fuelectenerg-4161	32	19	signatures	signature	NOUN
fuelectenerg-4161	32	20	due	due	ADJ
fuelectenerg-4161	32	21	to	to	AUX
fuelectenerg-4161	32	22	ecdlp	ecdlp	VERB
fuelectenerg-4161	32	23	concept	concept	NOUN
fuelectenerg-4161	32	24	.	.	PUNCT
fuelectenerg-4161	33	1	here	here	ADV
fuelectenerg-4161	33	2	keccak	keccak	PROPN
fuelectenerg-4161	33	3	-	-	PUNCT
fuelectenerg-4161	33	4	f	f	PROPN
fuelectenerg-4161	34	1	[	[	X
fuelectenerg-4161	34	2	1600	1600	NUM
fuelectenerg-4161	34	3	]	]	PUNCT
fuelectenerg-4161	34	4	,	,	PUNCT
fuelectenerg-4161	34	5	recognized	recognize	VERB
fuelectenerg-4161	34	6	as	as	ADP
fuelectenerg-4161	34	7	a	a	DET
fuelectenerg-4161	34	8	new	new	ADJ
fuelectenerg-4161	34	9	secure	secure	ADJ
fuelectenerg-4161	34	10	hash	hash	NOUN
fuelectenerg-4161	34	11	algorithm-3	algorithm-3	NUM
fuelectenerg-4161	34	12	,	,	PUNCT
fuelectenerg-4161	34	13	i.e.	i.e.	X
fuelectenerg-4161	34	14	sha-3	sha-3	NUM
fuelectenerg-4161	34	15	by	by	ADP
fuelectenerg-4161	34	16	nist	nist	NOUN
fuelectenerg-4161	34	17	is	be	AUX
fuelectenerg-4161	34	18	considered	consider	VERB
fuelectenerg-4161	34	19	in	in	ADP
fuelectenerg-4161	34	20	the	the	DET
fuelectenerg-4161	34	21	digital	digital	ADJ
fuelectenerg-4161	34	22	signature	signature	NOUN
fuelectenerg-4161	34	23	generation	generation	NOUN
fuelectenerg-4161	34	24	and	and	CCONJ
fuelectenerg-4161	34	25	the	the	DET
fuelectenerg-4161	34	26	digital	digital	ADJ
fuelectenerg-4161	34	27	signature	signature	NOUN
fuelectenerg-4161	34	28	verification	verification	NOUN
fuelectenerg-4161	34	29	processes	process	NOUN
fuelectenerg-4161	34	30	[	[	X
fuelectenerg-4161	34	31	3	3	NUM
fuelectenerg-4161	34	32	]	]	PUNCT
fuelectenerg-4161	34	33	.	.	PUNCT
fuelectenerg-4161	35	1	here	here	ADV
fuelectenerg-4161	35	2	the	the	DET
fuelectenerg-4161	35	3	complexity	complexity	NOUN
fuelectenerg-4161	35	4	of	of	ADP
fuelectenerg-4161	35	5	digital	digital	ADJ
fuelectenerg-4161	35	6	signature	signature	NOUN
fuelectenerg-4161	35	7	generation	generation	NOUN
fuelectenerg-4161	35	8	and	and	CCONJ
fuelectenerg-4161	35	9	digital	digital	ADJ
fuelectenerg-4161	35	10	signature	signature	NOUN
fuelectenerg-4161	35	11	verification	verification	NOUN
fuelectenerg-4161	35	12	is	be	AUX
fuelectenerg-4161	35	13	also	also	ADV
fuelectenerg-4161	35	14	analyzed	analyze	VERB
fuelectenerg-4161	35	15	to	to	PART
fuelectenerg-4161	35	16	stop	stop	VERB
fuelectenerg-4161	35	17	the	the	DET
fuelectenerg-4161	35	18	attacker	attacker	NOUN
fuelectenerg-4161	35	19	attempting	attempt	VERB
fuelectenerg-4161	35	20	to	to	PART
fuelectenerg-4161	35	21	forge	forge	VERB
fuelectenerg-4161	35	22	the	the	DET
fuelectenerg-4161	35	23	signature	signature	NOUN
fuelectenerg-4161	35	24	.	.	PUNCT
fuelectenerg-4161	36	1	in	in	ADP
fuelectenerg-4161	36	2	this	this	DET
fuelectenerg-4161	36	3	paper	paper	NOUN
fuelectenerg-4161	36	4	the	the	DET
fuelectenerg-4161	36	5	analysis	analysis	NOUN
fuelectenerg-4161	36	6	of	of	ADP
fuelectenerg-4161	36	7	the	the	DET
fuelectenerg-4161	36	8	original	original	ADJ
fuelectenerg-4161	36	9	ecdsa	ecdsa	NOUN
fuelectenerg-4161	36	10	and	and	CCONJ
fuelectenerg-4161	36	11	its	its	PRON
fuelectenerg-4161	36	12	variants	variant	NOUN
fuelectenerg-4161	36	13	are	be	AUX
fuelectenerg-4161	36	14	considered	consider	VERB
fuelectenerg-4161	36	15	and	and	CCONJ
fuelectenerg-4161	36	16	evaluated	evaluate	VERB
fuelectenerg-4161	36	17	in	in	ADP
fuelectenerg-4161	36	18	terms	term	NOUN
fuelectenerg-4161	36	19	of	of	ADP
fuelectenerg-4161	36	20	the	the	DET
fuelectenerg-4161	36	21	implementation	implementation	NOUN
fuelectenerg-4161	36	22	area	area	NOUN
fuelectenerg-4161	36	23	,	,	PUNCT
fuelectenerg-4161	36	24	security	security	NOUN
fuelectenerg-4161	36	25	level	level	NOUN
fuelectenerg-4161	36	26	and	and	CCONJ
fuelectenerg-4161	36	27	speed	speed	NOUN
fuelectenerg-4161	36	28	of	of	ADP
fuelectenerg-4161	36	29	execution	execution	NOUN
fuelectenerg-4161	36	30	.	.	PUNCT
fuelectenerg-4161	37	1	based	base	VERB
fuelectenerg-4161	37	2	on	on	ADP
fuelectenerg-4161	37	3	these	these	DET
fuelectenerg-4161	37	4	analysis	analysis	NOUN
fuelectenerg-4161	37	5	a	a	DET
fuelectenerg-4161	37	6	modified	modify	VERB
fuelectenerg-4161	37	7	ecdsa	ecdsa	NOUN
fuelectenerg-4161	37	8	method	method	NOUN
fuelectenerg-4161	37	9	is	be	AUX
fuelectenerg-4161	37	10	designed	design	VERB
fuelectenerg-4161	37	11	and	and	CCONJ
fuelectenerg-4161	37	12	implemented	implement	VERB
fuelectenerg-4161	37	13	on	on	ADP
fuelectenerg-4161	37	14	fpga	fpga	PROPN
fuelectenerg-4161	37	15	for	for	ADP
fuelectenerg-4161	37	16	iot	iot	PROPN
fuelectenerg-4161	37	17	devices	device	NOUN
fuelectenerg-4161	37	18	.	.	PUNCT
fuelectenerg-4161	38	1	this	this	DET
fuelectenerg-4161	38	2	section	section	NOUN
fuelectenerg-4161	38	3	gives	give	VERB
fuelectenerg-4161	38	4	a	a	DET
fuelectenerg-4161	38	5	brief	brief	ADJ
fuelectenerg-4161	38	6	introduction	introduction	NOUN
fuelectenerg-4161	38	7	about	about	ADP
fuelectenerg-4161	38	8	the	the	DET
fuelectenerg-4161	38	9	paper	paper	NOUN
fuelectenerg-4161	38	10	.	.	PUNCT
fuelectenerg-4161	39	1	section	section	NOUN
fuelectenerg-4161	39	2	2	2	NUM
fuelectenerg-4161	39	3	and	and	CCONJ
fuelectenerg-4161	39	4	section	section	NOUN
fuelectenerg-4161	39	5	3	3	NUM
fuelectenerg-4161	39	6	give	give	VERB
fuelectenerg-4161	39	7	an	an	DET
fuelectenerg-4161	39	8	overview	overview	NOUN
fuelectenerg-4161	39	9	of	of	ADP
fuelectenerg-4161	39	10	elliptic	elliptic	ADJ
fuelectenerg-4161	39	11	curve	curve	NOUN
fuelectenerg-4161	39	12	cryptography	cryptography	NOUN
fuelectenerg-4161	39	13	and	and	CCONJ
fuelectenerg-4161	39	14	secured	secured	ADJ
fuelectenerg-4161	39	15	hash	hash	NOUN
fuelectenerg-4161	39	16	algorithm-3	algorithm-3	NUM
fuelectenerg-4161	39	17	keccak	keccak	NOUN
fuelectenerg-4161	39	18	.	.	PUNCT
fuelectenerg-4161	40	1	section	section	NOUN
fuelectenerg-4161	40	2	4	4	NUM
fuelectenerg-4161	40	3	gives	give	VERB
fuelectenerg-4161	40	4	a	a	DET
fuelectenerg-4161	40	5	detailed	detailed	ADJ
fuelectenerg-4161	40	6	description	description	NOUN
fuelectenerg-4161	40	7	of	of	ADP
fuelectenerg-4161	40	8	original	original	ADJ
fuelectenerg-4161	40	9	ecdsa	ecdsa	NOUN
fuelectenerg-4161	40	10	scheme	scheme	NOUN
fuelectenerg-4161	40	11	,	,	PUNCT
fuelectenerg-4161	40	12	its	its	PRON
fuelectenerg-4161	40	13	security	security	NOUN
fuelectenerg-4161	40	14	proofs	proof	NOUN
fuelectenerg-4161	40	15	and	and	CCONJ
fuelectenerg-4161	40	16	an	an	DET
fuelectenerg-4161	40	17	attack	attack	NOUN
fuelectenerg-4161	40	18	possible	possible	ADJ
fuelectenerg-4161	40	19	on	on	ADP
fuelectenerg-4161	40	20	original	original	ADJ
fuelectenerg-4161	40	21	ecdsa	ecdsa	NOUN
fuelectenerg-4161	40	22	scheme	scheme	NOUN
fuelectenerg-4161	40	23	.	.	PUNCT
fuelectenerg-4161	41	1	section	section	NOUN
fuelectenerg-4161	41	2	5	5	NUM
fuelectenerg-4161	41	3	describes	describe	VERB
fuelectenerg-4161	41	4	modified	modify	VERB
fuelectenerg-4161	41	5	ecdsa	ecdsa	PROPN
fuelectenerg-4161	41	6	suitable	suitable	ADJ
fuelectenerg-4161	41	7	for	for	ADP
fuelectenerg-4161	41	8	signer	signer	NOUN
fuelectenerg-4161	41	9	with	with	ADP
fuelectenerg-4161	41	10	limited	limited	ADJ
fuelectenerg-4161	41	11	computation	computation	NOUN
fuelectenerg-4161	41	12	capability	capability	NOUN
fuelectenerg-4161	41	13	and	and	CCONJ
fuelectenerg-4161	41	14	a	a	DET
fuelectenerg-4161	41	15	method	method	NOUN
fuelectenerg-4161	41	16	to	to	PART
fuelectenerg-4161	41	17	solve	solve	VERB
fuelectenerg-4161	41	18	forging	forge	VERB
fuelectenerg-4161	41	19	problem	problem	NOUN
fuelectenerg-4161	41	20	using	use	VERB
fuelectenerg-4161	41	21	initialization	initialization	NOUN
fuelectenerg-4161	41	22	and	and	CCONJ
fuelectenerg-4161	41	23	authorization	authorization	NOUN
fuelectenerg-4161	41	24	stage	stage	NOUN
fuelectenerg-4161	41	25	.	.	PUNCT
fuelectenerg-4161	42	1	section	section	NOUN
fuelectenerg-4161	42	2	6	6	NUM
fuelectenerg-4161	42	3	provides	provide	VERB
fuelectenerg-4161	42	4	comparison	comparison	NOUN
fuelectenerg-4161	42	5	of	of	ADP
fuelectenerg-4161	42	6	ecdsa	ecdsa	PROPN
fuelectenerg-4161	42	7	schemes	scheme	NOUN
fuelectenerg-4161	42	8	,	,	PUNCT
fuelectenerg-4161	42	9	whereas	whereas	SCONJ
fuelectenerg-4161	42	10	section	section	NOUN
fuelectenerg-4161	42	11	7	7	NUM
fuelectenerg-4161	42	12	explains	explain	VERB
fuelectenerg-4161	42	13	implementation	implementation	NOUN
fuelectenerg-4161	42	14	and	and	CCONJ
fuelectenerg-4161	42	15	synthesis	synthesis	NOUN
fuelectenerg-4161	42	16	of	of	ADP
fuelectenerg-4161	42	17	ecdsa	ecdsa	PROPN
fuelectenerg-4161	42	18	.	.	PUNCT
fuelectenerg-4161	43	1	the	the	DET
fuelectenerg-4161	43	2	result	result	NOUN
fuelectenerg-4161	43	3	analysis	analysis	NOUN
fuelectenerg-4161	43	4	of	of	ADP
fuelectenerg-4161	43	5	ecdsa	ecdsa	NOUN
fuelectenerg-4161	43	6	and	and	CCONJ
fuelectenerg-4161	43	7	its	its	PRON
fuelectenerg-4161	43	8	variant	variant	NOUN
fuelectenerg-4161	43	9	are	be	AUX
fuelectenerg-4161	43	10	given	give	VERB
fuelectenerg-4161	43	11	in	in	ADP
fuelectenerg-4161	43	12	section	section	NOUN
fuelectenerg-4161	43	13	8	8	NUM
fuelectenerg-4161	43	14	with	with	ADP
fuelectenerg-4161	43	15	conclusions	conclusion	NOUN
fuelectenerg-4161	43	16	drawn	draw	VERB
fuelectenerg-4161	43	17	in	in	ADP
fuelectenerg-4161	43	18	section	section	NOUN
fuelectenerg-4161	43	19	9	9	NUM
fuelectenerg-4161	43	20	followed	follow	VERB
fuelectenerg-4161	43	21	byreferences	byreference	NOUN
fuelectenerg-4161	43	22	.	.	PUNCT
fuelectenerg-4161	44	1	fpga	fpga	NOUN
fuelectenerg-4161	44	2	implementation	implementation	NOUN
fuelectenerg-4161	44	3	of	of	ADP
fuelectenerg-4161	44	4	modified	modify	VERB
fuelectenerg-4161	44	5	elliptic	elliptic	ADJ
fuelectenerg-4161	44	6	curve	curve	NOUN
fuelectenerg-4161	44	7	digital	digital	ADJ
fuelectenerg-4161	44	8	signature	signature	NOUN
fuelectenerg-4161	44	9	algorithm	algorithm	NOUN
fuelectenerg-4161	44	10	131	131	NUM
fuelectenerg-4161	44	11	2	2	NUM
fuelectenerg-4161	44	12	.	.	PUNCT
fuelectenerg-4161	44	13	elliptic	elliptic	ADJ
fuelectenerg-4161	44	14	curve	curve	NOUN
fuelectenerg-4161	44	15	cryptography	cryptography	NOUN
fuelectenerg-4161	44	16	elliptic	elliptic	ADJ
fuelectenerg-4161	44	17	curves	curve	NOUN
fuelectenerg-4161	44	18	have	have	AUX
fuelectenerg-4161	44	19	been	be	AUX
fuelectenerg-4161	44	20	studied	study	VERB
fuelectenerg-4161	44	21	for	for	ADP
fuelectenerg-4161	44	22	centuries	century	NOUN
fuelectenerg-4161	44	23	by	by	ADP
fuelectenerg-4161	44	24	mathematicians	mathematician	NOUN
fuelectenerg-4161	44	25	,	,	PUNCT
fuelectenerg-4161	44	26	therefore	therefore	ADV
fuelectenerg-4161	44	27	have	have	VERB
fuelectenerg-4161	44	28	a	a	DET
fuelectenerg-4161	44	29	very	very	ADV
fuelectenerg-4161	44	30	rich	rich	ADJ
fuelectenerg-4161	44	31	history	history	NOUN
fuelectenerg-4161	44	32	.	.	PUNCT
fuelectenerg-4161	45	1	ecc	ecc	PROPN
fuelectenerg-4161	45	2	is	be	AUX
fuelectenerg-4161	45	3	the	the	DET
fuelectenerg-4161	45	4	foremost	foremost	ADJ
fuelectenerg-4161	45	5	choice	choice	NOUN
fuelectenerg-4161	45	6	in	in	ADP
fuelectenerg-4161	45	7	public	public	ADJ
fuelectenerg-4161	45	8	key	key	ADJ
fuelectenerg-4161	45	9	schemes	scheme	NOUN
fuelectenerg-4161	45	10	due	due	ADP
fuelectenerg-4161	45	11	to	to	ADP
fuelectenerg-4161	45	12	its	its	PRON
fuelectenerg-4161	45	13	smaller	small	ADJ
fuelectenerg-4161	45	14	key	key	ADJ
fuelectenerg-4161	45	15	size	size	NOUN
fuelectenerg-4161	45	16	[	[	X
fuelectenerg-4161	45	17	4	4	NUM
fuelectenerg-4161	45	18	]	]	PUNCT
fuelectenerg-4161	45	19	,	,	PUNCT
fuelectenerg-4161	45	20	[	[	X
fuelectenerg-4161	45	21	13	13	NUM
fuelectenerg-4161	45	22	]	]	PUNCT
fuelectenerg-4161	45	23	.	.	PUNCT
fuelectenerg-4161	46	1	the	the	DET
fuelectenerg-4161	46	2	key	key	ADJ
fuelectenerg-4161	46	3	length	length	NOUN
fuelectenerg-4161	46	4	of	of	ADP
fuelectenerg-4161	46	5	ecc	ecc	PROPN
fuelectenerg-4161	46	6	is	be	AUX
fuelectenerg-4161	46	7	considerably	considerably	ADV
fuelectenerg-4161	46	8	shorter	short	ADJ
fuelectenerg-4161	46	9	than	than	ADP
fuelectenerg-4161	46	10	that	that	PRON
fuelectenerg-4161	46	11	of	of	ADP
fuelectenerg-4161	46	12	rsa	rsa	PROPN
fuelectenerg-4161	46	13	,	,	PUNCT
fuelectenerg-4161	46	14	but	but	CCONJ
fuelectenerg-4161	46	15	it	it	PRON
fuelectenerg-4161	46	16	achieves	achieve	VERB
fuelectenerg-4161	46	17	the	the	DET
fuelectenerg-4161	46	18	same	same	ADJ
fuelectenerg-4161	46	19	level	level	NOUN
fuelectenerg-4161	46	20	of	of	ADP
fuelectenerg-4161	46	21	security	security	NOUN
fuelectenerg-4161	46	22	of	of	ADP
fuelectenerg-4161	46	23	rsa	rsa	PROPN
fuelectenerg-4161	46	24	.	.	PUNCT
fuelectenerg-4161	47	1	generally	generally	ADV
fuelectenerg-4161	47	2	,	,	PUNCT
fuelectenerg-4161	47	3	ec	ec	PROPN
fuelectenerg-4161	47	4	are	be	AUX
fuelectenerg-4161	47	5	of	of	ADP
fuelectenerg-4161	47	6	two	two	NUM
fuelectenerg-4161	47	7	finite	finite	ADJ
fuelectenerg-4161	47	8	fields	field	NOUN
fuelectenerg-4161	47	9	;	;	PUNCT
fuelectenerg-4161	47	10	fields	field	NOUN
fuelectenerg-4161	47	11	of	of	ADP
fuelectenerg-4161	47	12	odd	odd	ADJ
fuelectenerg-4161	47	13	characteristic	characteristic	ADJ
fuelectenerg-4161	47	14	fp	fp	NOUN
fuelectenerg-4161	47	15	,	,	PUNCT
fuelectenerg-4161	47	16	where	where	SCONJ
fuelectenerg-4161	47	17	p	p	NOUN
fuelectenerg-4161	47	18	is	be	AUX
fuelectenerg-4161	47	19	a	a	DET
fuelectenerg-4161	47	20	large	large	ADJ
fuelectenerg-4161	47	21	prime	prime	ADJ
fuelectenerg-4161	47	22	number	number	NOUN
fuelectenerg-4161	47	23	,	,	PUNCT
fuelectenerg-4161	47	24	and	and	CCONJ
fuelectenerg-4161	47	25	fields	field	NOUN
fuelectenerg-4161	47	26	of	of	ADP
fuelectenerg-4161	47	27	characteristic	characteristic	ADJ
fuelectenerg-4161	47	28	two	two	NUM
fuelectenerg-4161	47	29	f2	f2	PROPN
fuelectenerg-4161	47	30	m	m	NOUN
fuelectenerg-4161	47	31	,	,	PUNCT
fuelectenerg-4161	47	32	where	where	SCONJ
fuelectenerg-4161	47	33	2	2	NUM
fuelectenerg-4161	47	34	m	m	NOUN
fuelectenerg-4161	47	35	is	be	AUX
fuelectenerg-4161	47	36	a	a	DET
fuelectenerg-4161	47	37	large	large	ADJ
fuelectenerg-4161	47	38	binary	binary	ADJ
fuelectenerg-4161	47	39	value	value	NOUN
fuelectenerg-4161	47	40	.	.	PUNCT
fuelectenerg-4161	48	1	when	when	SCONJ
fuelectenerg-4161	48	2	the	the	DET
fuelectenerg-4161	48	3	distinction	distinction	NOUN
fuelectenerg-4161	48	4	is	be	AUX
fuelectenerg-4161	48	5	not	not	PART
fuelectenerg-4161	48	6	important	important	ADJ
fuelectenerg-4161	48	7	,	,	PUNCT
fuelectenerg-4161	48	8	denote	denote	VERB
fuelectenerg-4161	48	9	both	both	PRON
fuelectenerg-4161	48	10	of	of	ADP
fuelectenerg-4161	48	11	them	they	PRON
fuelectenerg-4161	48	12	as	as	ADP
fuelectenerg-4161	48	13	fq	fq	PROPN
fuelectenerg-4161	48	14	,	,	PUNCT
fuelectenerg-4161	48	15	where	where	SCONJ
fuelectenerg-4161	48	16	n	n	NOUN
fuelectenerg-4161	48	17	=	=	SYM
fuelectenerg-4161	48	18	p	p	NOUN
fuelectenerg-4161	48	19	or	or	CCONJ
fuelectenerg-4161	48	20	n	n	CCONJ
fuelectenerg-4161	48	21	=	=	SYM
fuelectenerg-4161	48	22	2	2	NUM
fuelectenerg-4161	48	23	m	m	NOUN
fuelectenerg-4161	48	24	.	.	PUNCT
fuelectenerg-4161	49	1	an	an	DET
fuelectenerg-4161	49	2	ec	ec	PROPN
fuelectenerg-4161	49	3	is	be	AUX
fuelectenerg-4161	49	4	the	the	DET
fuelectenerg-4161	49	5	set	set	NOUN
fuelectenerg-4161	49	6	of	of	ADP
fuelectenerg-4161	49	7	solutions	solution	NOUN
fuelectenerg-4161	49	8	(	(	PUNCT
fuelectenerg-4161	49	9	x	x	X
fuelectenerg-4161	49	10	,	,	PUNCT
fuelectenerg-4161	49	11	y	y	NOUN
fuelectenerg-4161	49	12	)	)	PUNCT
fuelectenerg-4161	49	13	to	to	PART
fuelectenerg-4161	49	14	weierstrass	weierstrass	VERB
fuelectenerg-4161	49	15	equation	equation	NOUN
fuelectenerg-4161	49	16	.	.	PUNCT
fuelectenerg-4161	50	1	an	an	DET
fuelectenerg-4161	50	2	elliptic	elliptic	ADJ
fuelectenerg-4161	50	3	curve	curve	NOUN
fuelectenerg-4161	50	4	e	e	NOUN
fuelectenerg-4161	50	5	over	over	ADP
fuelectenerg-4161	50	6	a	a	DET
fuelectenerg-4161	50	7	field	field	NOUN
fuelectenerg-4161	50	8	k	k	NOUN
fuelectenerg-4161	50	9	is	be	AUX
fuelectenerg-4161	50	10	defined	define	VERB
fuelectenerg-4161	50	11	by	by	ADP
fuelectenerg-4161	50	12	an	an	DET
fuelectenerg-4161	50	13	eq	eq	NOUN
fuelectenerg-4161	50	14	.	.	PUNCT
fuelectenerg-4161	51	1	(	(	PUNCT
fuelectenerg-4161	51	2	1	1	NUM
fuelectenerg-4161	51	3	)	)	PUNCT
fuelectenerg-4161	51	4	as	as	ADP
fuelectenerg-4161	51	5	e	e	X
fuelectenerg-4161	51	6	(	(	PUNCT
fuelectenerg-4161	51	7	k	k	X
fuelectenerg-4161	51	8	):	):	PUNCT
fuelectenerg-4161	51	9	y	y	PROPN
fuelectenerg-4161	51	10	2	2	NUM
fuelectenerg-4161	51	11	+	+	CCONJ
fuelectenerg-4161	51	12	a1xy	a1xy	X
fuelectenerg-4161	52	1	+	+	CCONJ
fuelectenerg-4161	52	2	a3y	a3y	X
fuelectenerg-4161	52	3	=	=	PUNCT
fuelectenerg-4161	52	4	x	x	SYM
fuelectenerg-4161	52	5	3	3	NUM
fuelectenerg-4161	52	6	+	+	CCONJ
fuelectenerg-4161	52	7	a2x	a2x	PROPN
fuelectenerg-4161	52	8	2	2	NUM
fuelectenerg-4161	52	9	+	+	CCONJ
fuelectenerg-4161	52	10	a4x	a4x	ADJ
fuelectenerg-4161	52	11	+	+	NUM
fuelectenerg-4161	52	12	a6	a6	NOUN
fuelectenerg-4161	52	13	(	(	PUNCT
fuelectenerg-4161	52	14	1	1	NUM
fuelectenerg-4161	52	15	)	)	PUNCT
fuelectenerg-4161	52	16	where	where	SCONJ
fuelectenerg-4161	52	17	the	the	DET
fuelectenerg-4161	52	18	coeffients	coeffient	NOUN
fuelectenerg-4161	52	19	a1	a1	PROPN
fuelectenerg-4161	52	20	,	,	PUNCT
fuelectenerg-4161	52	21	a2	a2	PROPN
fuelectenerg-4161	52	22	,	,	PUNCT
fuelectenerg-4161	52	23	a3	a3	NOUN
fuelectenerg-4161	52	24	,	,	PUNCT
fuelectenerg-4161	52	25	a4	a4	NOUN
fuelectenerg-4161	52	26	,	,	PUNCT
fuelectenerg-4161	52	27	a6	a6	PROPN
fuelectenerg-4161	52	28	∈	∈	PROPN
fuelectenerg-4161	52	29	k.	k.	PROPN
fuelectenerg-4161	53	1	the	the	DET
fuelectenerg-4161	53	2	curve	curve	NOUN
fuelectenerg-4161	53	3	e	e	PROPN
fuelectenerg-4161	53	4	is	be	AUX
fuelectenerg-4161	53	5	nonsingular	nonsingular	ADJ
fuelectenerg-4161	53	6	or	or	CCONJ
fuelectenerg-4161	53	7	smooth	smooth	ADJ
fuelectenerg-4161	53	8	and	and	CCONJ
fuelectenerg-4161	53	9	is	be	AUX
fuelectenerg-4161	53	10	an	an	DET
fuelectenerg-4161	53	11	elliptic	elliptic	ADJ
fuelectenerg-4161	53	12	curve	curve	NOUN
fuelectenerg-4161	53	13	if	if	SCONJ
fuelectenerg-4161	53	14	and	and	CCONJ
fuelectenerg-4161	53	15	only	only	ADV
fuelectenerg-4161	53	16	if	if	SCONJ
fuelectenerg-4161	53	17	the	the	DET
fuelectenerg-4161	53	18	discriminant	discriminant	NOUN
fuelectenerg-4161	53	19	of	of	ADP
fuelectenerg-4161	53	20	e	e	NOUN
fuelectenerg-4161	53	21	,	,	PUNCT
fuelectenerg-4161	53	22	∆e	∆e	PROPN
fuelectenerg-4161	53	23	is	be	AUX
fuelectenerg-4161	53	24	nonzero	nonzero	NOUN
fuelectenerg-4161	53	25	.	.	PUNCT
fuelectenerg-4161	54	1	the	the	DET
fuelectenerg-4161	54	2	weierstrass	weierstrass	NOUN
fuelectenerg-4161	54	3	equation	equation	NOUN
fuelectenerg-4161	54	4	has	have	AUX
fuelectenerg-4161	54	5	been	be	AUX
fuelectenerg-4161	54	6	transformed	transform	VERB
fuelectenerg-4161	54	7	to	to	ADP
fuelectenerg-4161	54	8	the	the	DET
fuelectenerg-4161	54	9	elliptic	elliptic	ADJ
fuelectenerg-4161	54	10	curve	curve	NOUN
fuelectenerg-4161	54	11	called	call	VERB
fuelectenerg-4161	54	12	a	a	DET
fuelectenerg-4161	54	13	short	short	ADJ
fuelectenerg-4161	54	14	weierstrass	weierstrass	NOUN
fuelectenerg-4161	54	15	curve	curve	NOUN
fuelectenerg-4161	54	16	,	,	PUNCT
fuelectenerg-4161	54	17	where	where	SCONJ
fuelectenerg-4161	54	18	a	a	DET
fuelectenerg-4161	54	19	,	,	PUNCT
fuelectenerg-4161	54	20	b	b	PROPN
fuelectenerg-4161	54	21	∈	∈	PROPN
fuelectenerg-4161	54	22	k.	k.	NOUN
fuelectenerg-4161	55	1	we	we	PRON
fuelectenerg-4161	55	2	assume	assume	VERB
fuelectenerg-4161	55	3	that	that	SCONJ
fuelectenerg-4161	55	4	the	the	DET
fuelectenerg-4161	55	5	characteristic	characteristic	NOUN
fuelectenerg-4161	55	6	of	of	ADP
fuelectenerg-4161	55	7	k	k	PROPN
fuelectenerg-4161	55	8	≠	≠	PROPN
fuelectenerg-4161	55	9	2	2	NUM
fuelectenerg-4161	55	10	,	,	PUNCT
fuelectenerg-4161	55	11	3	3	NUM
fuelectenerg-4161	55	12	and	and	CCONJ
fuelectenerg-4161	55	13	the	the	DET
fuelectenerg-4161	55	14	discriminant	discriminant	NOUN
fuelectenerg-4161	55	15	of	of	ADP
fuelectenerg-4161	55	16	short	short	ADJ
fuelectenerg-4161	55	17	weierstrass	weierstrass	NOUN
fuelectenerg-4161	55	18	curve	curve	NOUN
fuelectenerg-4161	55	19	is	be	AUX
fuelectenerg-4161	55	20	given	give	VERB
fuelectenerg-4161	55	21	in	in	ADP
fuelectenerg-4161	55	22	eq	eq	ADP
fuelectenerg-4161	55	23	.	.	PUNCT
fuelectenerg-4161	56	1	(	(	PUNCT
fuelectenerg-4161	56	2	2	2	NUM
fuelectenerg-4161	56	3	)	)	PUNCT
fuelectenerg-4161	56	4	as	as	ADP
fuelectenerg-4161	56	5	∆	∆	PROPN
fuelectenerg-4161	56	6	=	=	SYM
fuelectenerg-4161	56	7	−	−	PROPN
fuelectenerg-4161	56	8	(	(	PUNCT
fuelectenerg-4161	56	9	4a	4a	NOUN
fuelectenerg-4161	56	10	3	3	NUM
fuelectenerg-4161	56	11	+	+	CCONJ
fuelectenerg-4161	56	12	27b	27b	NUM
fuelectenerg-4161	56	13	2	2	NUM
fuelectenerg-4161	56	14	)	)	PUNCT
fuelectenerg-4161	56	15	(	(	PUNCT
fuelectenerg-4161	56	16	2	2	NUM
fuelectenerg-4161	56	17	)	)	PUNCT
fuelectenerg-4161	56	18	3	3	NUM
fuelectenerg-4161	56	19	.	.	X
fuelectenerg-4161	56	20	secure	secure	ADJ
fuelectenerg-4161	56	21	hash	hash	NOUN
fuelectenerg-4161	56	22	algorithm-3	algorithm-3	NUM
fuelectenerg-4161	56	23	keccak	keccak	NOUN
fuelectenerg-4161	56	24	has	have	VERB
fuelectenerg-4161	56	25	a	a	DET
fuelectenerg-4161	56	26	different	different	ADJ
fuelectenerg-4161	56	27	structure	structure	NOUN
fuelectenerg-4161	56	28	when	when	SCONJ
fuelectenerg-4161	56	29	compared	compare	VERB
fuelectenerg-4161	56	30	to	to	ADP
fuelectenerg-4161	56	31	other	other	ADJ
fuelectenerg-4161	56	32	hash	hash	NOUN
fuelectenerg-4161	56	33	functions	function	NOUN
fuelectenerg-4161	56	34	.	.	PUNCT
fuelectenerg-4161	57	1	secure	secure	ADJ
fuelectenerg-4161	57	2	hash	hash	NOUN
fuelectenerg-4161	57	3	algorithm-3	algorithm-3	NUM
fuelectenerg-4161	57	4	keccak	keccak	NOUN
fuelectenerg-4161	57	5	was	be	AUX
fuelectenerg-4161	57	6	selected	select	VERB
fuelectenerg-4161	57	7	because	because	SCONJ
fuelectenerg-4161	57	8	in	in	ADP
fuelectenerg-4161	57	9	2004	2004	NUM
fuelectenerg-4161	57	10	sha-1	sha-1	NUM
fuelectenerg-4161	57	11	was	be	AUX
fuelectenerg-4161	57	12	found	find	VERB
fuelectenerg-4161	57	13	to	to	PART
fuelectenerg-4161	57	14	be	be	AUX
fuelectenerg-4161	57	15	weak	weak	ADJ
fuelectenerg-4161	57	16	,	,	PUNCT
fuelectenerg-4161	57	17	and	and	CCONJ
fuelectenerg-4161	57	18	the	the	DET
fuelectenerg-4161	57	19	threat	threat	NOUN
fuelectenerg-4161	57	20	was	be	AUX
fuelectenerg-4161	57	21	carried	carry	VERB
fuelectenerg-4161	57	22	to	to	ADP
fuelectenerg-4161	57	23	sha-2	sha-2	ADV
fuelectenerg-4161	57	24	also	also	ADV
fuelectenerg-4161	57	25	.	.	PUNCT
fuelectenerg-4161	58	1	successful	successful	ADJ
fuelectenerg-4161	58	2	attacks	attack	NOUN
fuelectenerg-4161	58	3	have	have	AUX
fuelectenerg-4161	58	4	been	be	AUX
fuelectenerg-4161	58	5	reported	report	VERB
fuelectenerg-4161	58	6	in	in	ADP
fuelectenerg-4161	58	7	the	the	DET
fuelectenerg-4161	58	8	algorithms	algorithm	NOUN
fuelectenerg-4161	58	9	sha-0	sha-0	NUM
fuelectenerg-4161	58	10	and	and	CCONJ
fuelectenerg-4161	58	11	sha-1	sha-1	NUM
fuelectenerg-4161	58	12	,	,	PUNCT
fuelectenerg-4161	58	13	which	which	PRON
fuelectenerg-4161	58	14	generate	generate	VERB
fuelectenerg-4161	58	15	collisions	collision	NOUN
fuelectenerg-4161	58	16	,	,	PUNCT
fuelectenerg-4161	58	17	which	which	PRON
fuelectenerg-4161	58	18	influences	influence	VERB
fuelectenerg-4161	58	19	the	the	DET
fuelectenerg-4161	58	20	principle	principle	NOUN
fuelectenerg-4161	58	21	of	of	ADP
fuelectenerg-4161	58	22	hash	hash	NOUN
fuelectenerg-4161	58	23	functions	function	NOUN
fuelectenerg-4161	58	24	,	,	PUNCT
fuelectenerg-4161	58	25	which	which	PRON
fuelectenerg-4161	58	26	is	be	AUX
fuelectenerg-4161	58	27	to	to	PART
fuelectenerg-4161	58	28	ensure	ensure	VERB
fuelectenerg-4161	58	29	the	the	DET
fuelectenerg-4161	58	30	information	information	NOUN
fuelectenerg-4161	58	31	integrity	integrity	NOUN
fuelectenerg-4161	58	32	.	.	PUNCT
fuelectenerg-4161	59	1	the	the	DET
fuelectenerg-4161	59	2	function	function	NOUN
fuelectenerg-4161	59	3	sha-2	sha-2	PUNCT
fuelectenerg-4161	59	4	is	be	AUX
fuelectenerg-4161	59	5	currently	currently	ADV
fuelectenerg-4161	59	6	still	still	ADV
fuelectenerg-4161	59	7	safe	safe	ADJ
fuelectenerg-4161	59	8	,	,	PUNCT
fuelectenerg-4161	59	9	but	but	CCONJ
fuelectenerg-4161	59	10	as	as	ADP
fuelectenerg-4161	59	11	sharing	share	VERB
fuelectenerg-4161	59	12	a	a	DET
fuelectenerg-4161	59	13	similar	similar	ADJ
fuelectenerg-4161	59	14	structure	structure	NOUN
fuelectenerg-4161	59	15	with	with	ADP
fuelectenerg-4161	59	16	its	its	PRON
fuelectenerg-4161	59	17	predecessor	predecessor	NOUN
fuelectenerg-4161	59	18	,	,	PUNCT
fuelectenerg-4161	59	19	the	the	DET
fuelectenerg-4161	59	20	sha-1	sha-1	NUM
fuelectenerg-4161	59	21	,	,	PUNCT
fuelectenerg-4161	59	22	becomes	become	VERB
fuelectenerg-4161	59	23	suspicious	suspicious	ADJ
fuelectenerg-4161	59	24	and	and	CCONJ
fuelectenerg-4161	59	25	raises	raise	VERB
fuelectenerg-4161	59	26	doubts	doubt	NOUN
fuelectenerg-4161	59	27	about	about	ADP
fuelectenerg-4161	59	28	its	its	PRON
fuelectenerg-4161	59	29	safety	safety	NOUN
fuelectenerg-4161	59	30	stimulated	stimulate	VERB
fuelectenerg-4161	59	31	the	the	DET
fuelectenerg-4161	59	32	scientific	scientific	ADJ
fuelectenerg-4161	59	33	community	community	NOUN
fuelectenerg-4161	59	34	to	to	PART
fuelectenerg-4161	59	35	search	search	VERB
fuelectenerg-4161	59	36	a	a	DET
fuelectenerg-4161	59	37	successor	successor	NOUN
fuelectenerg-4161	59	38	more	more	ADV
fuelectenerg-4161	59	39	robust	robust	ADJ
fuelectenerg-4161	59	40	and	and	CCONJ
fuelectenerg-4161	59	41	secure	secure	ADJ
fuelectenerg-4161	59	42	.	.	PUNCT
fuelectenerg-4161	60	1	the	the	DET
fuelectenerg-4161	60	2	sha-3	sha-3	NUM
fuelectenerg-4161	60	3	was	be	AUX
fuelectenerg-4161	60	4	focused	focus	VERB
fuelectenerg-4161	60	5	in	in	ADP
fuelectenerg-4161	60	6	the	the	DET
fuelectenerg-4161	60	7	information	information	NOUN
fuelectenerg-4161	60	8	secure	secure	ADJ
fuelectenerg-4161	60	9	area	area	NOUN
fuelectenerg-4161	60	10	and	and	CCONJ
fuelectenerg-4161	60	11	was	be	AUX
fuelectenerg-4161	60	12	more	more	ADV
fuelectenerg-4161	60	13	robust	robust	ADJ
fuelectenerg-4161	60	14	and	and	CCONJ
fuelectenerg-4161	60	15	secure	secure	ADJ
fuelectenerg-4161	60	16	.	.	PUNCT
fuelectenerg-4161	61	1	the	the	DET
fuelectenerg-4161	61	2	keccak	keccak	NOUN
fuelectenerg-4161	61	3	architecture	architecture	NOUN
fuelectenerg-4161	61	4	is	be	AUX
fuelectenerg-4161	61	5	as	as	SCONJ
fuelectenerg-4161	61	6	shown	show	VERB
fuelectenerg-4161	61	7	in	in	ADP
fuelectenerg-4161	61	8	the	the	DET
fuelectenerg-4161	61	9	fig	fig	NOUN
fuelectenerg-4161	61	10	.	.	PUNCT
fuelectenerg-4161	62	1	1	1	NUM
fuelectenerg-4161	62	2	consisting	consist	VERB
fuelectenerg-4161	62	3	of	of	ADP
fuelectenerg-4161	62	4	preprocessing	preprocessing	NOUN
fuelectenerg-4161	62	5	and	and	CCONJ
fuelectenerg-4161	62	6	the	the	DET
fuelectenerg-4161	62	7	sponge	sponge	NOUN
fuelectenerg-4161	62	8	construction	construction	NOUN
fuelectenerg-4161	62	9	[	[	X
fuelectenerg-4161	62	10	5	5	NUM
fuelectenerg-4161	62	11	]	]	PUNCT
fuelectenerg-4161	62	12	.	.	PUNCT
fuelectenerg-4161	63	1	fig	fig	NOUN
fuelectenerg-4161	63	2	1	1	NUM
fuelectenerg-4161	63	3	high	high	ADJ
fuelectenerg-4161	63	4	-	-	PUNCT
fuelectenerg-4161	63	5	level	level	NOUN
fuelectenerg-4161	63	6	view	view	NOUN
fuelectenerg-4161	63	7	on	on	ADP
fuelectenerg-4161	63	8	keccak	keccak	PROPN
fuelectenerg-4161	63	9	132	132	NUM
fuelectenerg-4161	63	10	v.	v.	ADP
fuelectenerg-4161	63	11	kamalakannan	kamalakannan	PROPN
fuelectenerg-4161	63	12	,	,	PUNCT
fuelectenerg-4161	63	13	s.	s.	PROPN
fuelectenerg-4161	63	14	tamilselvan	tamilselvan	PROPN
fuelectenerg-4161	63	15	in	in	ADP
fuelectenerg-4161	63	16	the	the	DET
fuelectenerg-4161	63	17	pre	pre	ADJ
fuelectenerg-4161	63	18	-	-	ADJ
fuelectenerg-4161	63	19	processing	processing	ADJ
fuelectenerg-4161	63	20	construction	construction	NOUN
fuelectenerg-4161	63	21	the	the	DET
fuelectenerg-4161	63	22	message	message	NOUN
fuelectenerg-4161	63	23	is	be	AUX
fuelectenerg-4161	63	24	spliced	splice	VERB
fuelectenerg-4161	63	25	into	into	ADP
fuelectenerg-4161	63	26	blocks	block	NOUN
fuelectenerg-4161	63	27	with	with	ADP
fuelectenerg-4161	63	28	necessary	necessary	ADJ
fuelectenerg-4161	63	29	padding	padding	NOUN
fuelectenerg-4161	63	30	.	.	PUNCT
fuelectenerg-4161	64	1	in	in	ADP
fuelectenerg-4161	64	2	the	the	DET
fuelectenerg-4161	64	3	sponge	sponge	NOUN
fuelectenerg-4161	64	4	construction	construction	NOUN
fuelectenerg-4161	64	5	absorbing	absorbing	NOUN
fuelectenerg-4161	64	6	(	(	PUNCT
fuelectenerg-4161	64	7	or	or	CCONJ
fuelectenerg-4161	64	8	input	input	NOUN
fuelectenerg-4161	64	9	)	)	PUNCT
fuelectenerg-4161	64	10	phase	phase	NOUN
fuelectenerg-4161	64	11	and	and	CCONJ
fuelectenerg-4161	64	12	squeezing	squeeze	VERB
fuelectenerg-4161	64	13	(	(	PUNCT
fuelectenerg-4161	64	14	or	or	CCONJ
fuelectenerg-4161	64	15	output	output	NOUN
fuelectenerg-4161	64	16	)	)	PUNCT
fuelectenerg-4161	64	17	phases	phase	NOUN
fuelectenerg-4161	64	18	are	be	AUX
fuelectenerg-4161	64	19	present	present	ADJ
fuelectenerg-4161	64	20	as	as	SCONJ
fuelectenerg-4161	64	21	shown	show	VERB
fuelectenerg-4161	64	22	in	in	ADP
fuelectenerg-4161	64	23	fig	fig	NOUN
fuelectenerg-4161	64	24	.	.	PUNCT
fuelectenerg-4161	65	1	2	2	X
fuelectenerg-4161	65	2	.	.	X
fuelectenerg-4161	65	3	fig	fig	NOUN
fuelectenerg-4161	65	4	.	.	PUNCT
fuelectenerg-4161	66	1	2	2	NUM
fuelectenerg-4161	66	2	absorbing	absorb	VERB
fuelectenerg-4161	66	3	and	and	CCONJ
fuelectenerg-4161	66	4	squeezing	squeeze	VERB
fuelectenerg-4161	66	5	phases	phase	NOUN
fuelectenerg-4161	66	6	of	of	ADP
fuelectenerg-4161	66	7	the	the	DET
fuelectenerg-4161	66	8	sponge	sponge	NOUN
fuelectenerg-4161	66	9	construction	construction	NOUN
fuelectenerg-4161	66	10	in	in	ADP
fuelectenerg-4161	66	11	the	the	DET
fuelectenerg-4161	66	12	absorption	absorption	NOUN
fuelectenerg-4161	66	13	phase	phase	NOUN
fuelectenerg-4161	66	14	the	the	DET
fuelectenerg-4161	66	15	block	block	NOUN
fuelectenerg-4161	66	16	data	datum	NOUN
fuelectenerg-4161	66	17	are	be	AUX
fuelectenerg-4161	66	18	applied	apply	VERB
fuelectenerg-4161	66	19	to	to	ADP
fuelectenerg-4161	66	20	the	the	DET
fuelectenerg-4161	66	21	algorithm	algorithm	NOUN
fuelectenerg-4161	66	22	for	for	ADP
fuelectenerg-4161	66	23	processing	processing	NOUN
fuelectenerg-4161	66	24	.	.	PUNCT
fuelectenerg-4161	67	1	in	in	ADP
fuelectenerg-4161	67	2	the	the	DET
fuelectenerg-4161	67	3	squeezing	squeeze	VERB
fuelectenerg-4161	67	4	phase	phase	NOUN
fuelectenerg-4161	67	5	the	the	DET
fuelectenerg-4161	67	6	processed	process	VERB
fuelectenerg-4161	67	7	data	data	NOUN
fuelectenerg-4161	67	8	is	be	AUX
fuelectenerg-4161	67	9	squeezed	squeeze	VERB
fuelectenerg-4161	67	10	out	out	ADP
fuelectenerg-4161	67	11	based	base	VERB
fuelectenerg-4161	67	12	on	on	ADP
fuelectenerg-4161	67	13	the	the	DET
fuelectenerg-4161	67	14	configurable	configurable	ADJ
fuelectenerg-4161	67	15	length	length	NOUN
fuelectenerg-4161	67	16	.	.	PUNCT
fuelectenerg-4161	68	1	the	the	DET
fuelectenerg-4161	68	2	function	function	NOUN
fuelectenerg-4161	68	3	keccak	keccak	PROPN
fuelectenerg-4161	68	4	-	-	PUNCT
fuelectenerg-4161	68	5	f	f	PROPN
fuelectenerg-4161	68	6	is	be	AUX
fuelectenerg-4161	68	7	used	use	VERB
fuelectenerg-4161	68	8	in	in	ADP
fuelectenerg-4161	68	9	both	both	DET
fuelectenerg-4161	68	10	phases	phase	NOUN
fuelectenerg-4161	68	11	.	.	PUNCT
fuelectenerg-4161	69	1	it	it	PRON
fuelectenerg-4161	69	2	reads	read	VERB
fuelectenerg-4161	69	3	the	the	DET
fuelectenerg-4161	69	4	input	input	NOUN
fuelectenerg-4161	69	5	blocks	block	VERB
fuelectenerg-4161	69	6	xi	xi	PROPN
fuelectenerg-4161	69	7	,	,	PUNCT
fuelectenerg-4161	69	8	and	and	CCONJ
fuelectenerg-4161	69	9	generates	generate	VERB
fuelectenerg-4161	69	10	the	the	DET
fuelectenerg-4161	69	11	output	output	NOUN
fuelectenerg-4161	69	12	blocks	block	NOUN
fuelectenerg-4161	69	13	yj	yj	PROPN
fuelectenerg-4161	69	14	allowing	allow	VERB
fuelectenerg-4161	69	15	arbitrary	arbitrary	ADJ
fuelectenerg-4161	69	16	-	-	PUNCT
fuelectenerg-4161	69	17	length	length	NOUN
fuelectenerg-4161	69	18	outputs	output	NOUN
fuelectenerg-4161	69	19	y0···yu	y0···yu	PROPN
fuelectenerg-4161	69	20	.	.	PUNCT
fuelectenerg-4161	70	1	the	the	DET
fuelectenerg-4161	70	2	security	security	NOUN
fuelectenerg-4161	70	3	level	level	NOUN
fuelectenerg-4161	70	4	of	of	ADP
fuelectenerg-4161	70	5	keccak	keccak	NOUN
fuelectenerg-4161	70	6	has	have	VERB
fuelectenerg-4161	70	7	to	to	PART
fuelectenerg-4161	70	8	be	be	AUX
fuelectenerg-4161	70	9	configured	configure	VERB
fuelectenerg-4161	70	10	with	with	ADP
fuelectenerg-4161	70	11	several	several	ADJ
fuelectenerg-4161	70	12	parameters	parameter	NOUN
fuelectenerg-4161	70	13	related	relate	VERB
fuelectenerg-4161	70	14	to	to	ADP
fuelectenerg-4161	70	15	the	the	DET
fuelectenerg-4161	70	16	input	input	NOUN
fuelectenerg-4161	70	17	and	and	CCONJ
fuelectenerg-4161	70	18	output	output	NOUN
fuelectenerg-4161	70	19	sizes	size	NOUN
fuelectenerg-4161	70	20	.	.	PUNCT
fuelectenerg-4161	71	1	the	the	DET
fuelectenerg-4161	71	2	parameter	parameter	PROPN
fuelectenerg-4161	71	3	b	b	PROPN
fuelectenerg-4161	71	4	to	to	PART
fuelectenerg-4161	71	5	be	be	AUX
fuelectenerg-4161	71	6	configured	configure	VERB
fuelectenerg-4161	71	7	is	be	AUX
fuelectenerg-4161	71	8	the	the	DET
fuelectenerg-4161	71	9	width	width	NOUN
fuelectenerg-4161	71	10	of	of	ADP
fuelectenerg-4161	71	11	the	the	DET
fuelectenerg-4161	71	12	state	state	NOUN
fuelectenerg-4161	71	13	depending	depend	VERB
fuelectenerg-4161	71	14	on	on	ADP
fuelectenerg-4161	71	15	the	the	DET
fuelectenerg-4161	71	16	exponent	exponent	NOUN
fuelectenerg-4161	71	17	l	l	PROPN
fuelectenerg-4161	71	18	i.e.	i.e.	X
fuelectenerg-4161	71	19	,	,	PUNCT
fuelectenerg-4161	71	20	b	b	X
fuelectenerg-4161	71	21	=	=	SYM
fuelectenerg-4161	71	22	r	r	NOUN
fuelectenerg-4161	71	23	+	+	NOUN
fuelectenerg-4161	71	24	c	c	NOUN
fuelectenerg-4161	71	25	=	=	SYM
fuelectenerg-4161	71	26	25(2	25(2	NUM
fuelectenerg-4161	71	27	l	l	NOUN
fuelectenerg-4161	71	28	)	)	PUNCT
fuelectenerg-4161	71	29	,	,	PUNCT
fuelectenerg-4161	71	30	where	where	SCONJ
fuelectenerg-4161	71	31	l	l	NOUN
fuelectenerg-4161	71	32	=	=	SYM
fuelectenerg-4161	71	33	0,1,	0,1,	NOUN
fuelectenerg-4161	71	34	..	..	PUNCT
fuelectenerg-4161	71	35	,6	,6	ADJ
fuelectenerg-4161	71	36	,	,	PUNCT
fuelectenerg-4161	71	37	having	have	VERB
fuelectenerg-4161	71	38	width	width	NOUN
fuelectenerg-4161	71	39	of	of	ADP
fuelectenerg-4161	71	40	b	b	NOUN
fuelectenerg-4161	71	41	∈{25,50,100,200,400,800,1600	∈{25,50,100,200,400,800,1600	NOUN
fuelectenerg-4161	71	42	}	}	PUNCT
fuelectenerg-4161	71	43	,	,	PUNCT
fuelectenerg-4161	71	44	r	r	NOUN
fuelectenerg-4161	71	45	is	be	AUX
fuelectenerg-4161	71	46	the	the	DET
fuelectenerg-4161	71	47	bit	bit	NOUN
fuelectenerg-4161	71	48	rate	rate	NOUN
fuelectenerg-4161	71	49	and	and	CCONJ
fuelectenerg-4161	71	50	c	c	NOUN
fuelectenerg-4161	71	51	is	be	AUX
fuelectenerg-4161	71	52	called	call	VERB
fuelectenerg-4161	71	53	the	the	DET
fuelectenerg-4161	71	54	capacity	capacity	NOUN
fuelectenerg-4161	71	55	.	.	PUNCT
fuelectenerg-4161	72	1	the	the	DET
fuelectenerg-4161	72	2	function	function	NOUN
fuelectenerg-4161	72	3	keccak	keccak	PROPN
fuelectenerg-4161	72	4	-	-	PUNCT
fuelectenerg-4161	72	5	f	f	PROPN
fuelectenerg-4161	72	6	referred	refer	VERB
fuelectenerg-4161	72	7	to	to	ADP
fuelectenerg-4161	72	8	as	as	SCONJ
fuelectenerg-4161	72	9	keccak	keccak	PROPN
fuelectenerg-4161	72	10	-	-	PUNCT
fuelectenerg-4161	72	11	f	f	PROPN
fuelectenerg-4161	72	12	permutation	permutation	NOUN
fuelectenerg-4161	72	13	is	be	AUX
fuelectenerg-4161	72	14	the	the	DET
fuelectenerg-4161	72	15	main	main	ADJ
fuelectenerg-4161	72	16	part	part	NOUN
fuelectenerg-4161	72	17	in	in	ADP
fuelectenerg-4161	72	18	hash	hash	NOUN
fuelectenerg-4161	72	19	algorithm	algorithm	NOUN
fuelectenerg-4161	72	20	and	and	CCONJ
fuelectenerg-4161	72	21	is	be	AUX
fuelectenerg-4161	72	22	used	use	VERB
fuelectenerg-4161	72	23	in	in	ADP
fuelectenerg-4161	72	24	both	both	PRON
fuelectenerg-4161	72	25	absorbing	absorbing	ADJ
fuelectenerg-4161	72	26	phase	phase	NOUN
fuelectenerg-4161	72	27	and	and	CCONJ
fuelectenerg-4161	72	28	squeezing	squeeze	VERB
fuelectenerg-4161	72	29	phase	phase	NOUN
fuelectenerg-4161	72	30	.	.	PUNCT
fuelectenerg-4161	73	1	the	the	DET
fuelectenerg-4161	73	2	keccak	keccak	PROPN
fuelectenerg-4161	73	3	-	-	PUNCT
fuelectenerg-4161	73	4	f	f	PROPN
fuelectenerg-4161	73	5	structure	structure	NOUN
fuelectenerg-4161	73	6	is	be	AUX
fuelectenerg-4161	73	7	shown	show	VERB
fuelectenerg-4161	73	8	in	in	ADP
fuelectenerg-4161	73	9	fig	fig	NOUN
fuelectenerg-4161	73	10	3	3	NUM
fuelectenerg-4161	73	11	.	.	PUNCT
fuelectenerg-4161	74	1	there	there	PRON
fuelectenerg-4161	74	2	are	be	VERB
fuelectenerg-4161	74	3	nr	nr	PRON
fuelectenerg-4161	74	4	rounds	round	NOUN
fuelectenerg-4161	74	5	in	in	ADP
fuelectenerg-4161	74	6	the	the	DET
fuelectenerg-4161	74	7	function	function	NOUN
fuelectenerg-4161	74	8	,	,	PUNCT
fuelectenerg-4161	74	9	here	here	ADV
fuelectenerg-4161	74	10	each	each	DET
fuelectenerg-4161	74	11	round	round	NOUN
fuelectenerg-4161	74	12	has	have	VERB
fuelectenerg-4161	74	13	an	an	DET
fuelectenerg-4161	74	14	input	input	NOUN
fuelectenerg-4161	74	15	b	b	PROPN
fuelectenerg-4161	74	16	bits	bit	NOUN
fuelectenerg-4161	74	17	.	.	PUNCT
fuelectenerg-4161	75	1	the	the	DET
fuelectenerg-4161	75	2	parameter	parameter	PROPN
fuelectenerg-4161	75	3	l	l	PROPN
fuelectenerg-4161	75	4	influences	influence	VERB
fuelectenerg-4161	75	5	the	the	DET
fuelectenerg-4161	75	6	number	number	NOUN
fuelectenerg-4161	75	7	of	of	ADP
fuelectenerg-4161	75	8	rounds	round	NOUN
fuelectenerg-4161	75	9	specified	specify	VERB
fuelectenerg-4161	75	10	in	in	ADP
fuelectenerg-4161	75	11	eq	eq	ADP
fuelectenerg-4161	75	12	.	.	PUNCT
fuelectenerg-4161	76	1	(	(	PUNCT
fuelectenerg-4161	76	2	3	3	NUM
fuelectenerg-4161	76	3	)	)	PUNCT
fuelectenerg-4161	76	4	as	as	ADP
fuelectenerg-4161	76	5	nr	nr	NOUN
fuelectenerg-4161	76	6	=	=	NOUN
fuelectenerg-4161	76	7	12	12	NUM
fuelectenerg-4161	76	8	+	+	NUM
fuelectenerg-4161	76	9	2l	2l	NUM
fuelectenerg-4161	76	10	(	(	PUNCT
fuelectenerg-4161	76	11	3	3	X
fuelectenerg-4161	76	12	)	)	PUNCT
fuelectenerg-4161	76	13	fig	fig	NOUN
fuelectenerg-4161	76	14	.	.	PUNCT
fuelectenerg-4161	77	1	3	3	NUM
fuelectenerg-4161	77	2	internal	internal	ADJ
fuelectenerg-4161	77	3	structure	structure	NOUN
fuelectenerg-4161	77	4	of	of	ADP
fuelectenerg-4161	77	5	function	function	NOUN
fuelectenerg-4161	77	6	keccak	keccak	VERB
fuelectenerg-4161	77	7	the	the	DET
fuelectenerg-4161	77	8	number	number	NOUN
fuelectenerg-4161	77	9	of	of	ADP
fuelectenerg-4161	77	10	rounds	round	NOUN
fuelectenerg-4161	77	11	required	require	VERB
fuelectenerg-4161	77	12	for	for	ADP
fuelectenerg-4161	77	13	the	the	DET
fuelectenerg-4161	77	14	respective	respective	ADJ
fuelectenerg-4161	77	15	state	state	NOUN
fuelectenerg-4161	77	16	width	width	NOUN
fuelectenerg-4161	77	17	is	be	AUX
fuelectenerg-4161	77	18	provided	provide	VERB
fuelectenerg-4161	77	19	in	in	ADP
fuelectenerg-4161	77	20	table	table	NOUN
fuelectenerg-4161	77	21	1	1	NUM
fuelectenerg-4161	77	22	.	.	PUNCT
fuelectenerg-4161	78	1	any	any	DET
fuelectenerg-4161	78	2	instance	instance	NOUN
fuelectenerg-4161	78	3	of	of	ADP
fuelectenerg-4161	78	4	the	the	DET
fuelectenerg-4161	78	5	keccak	keccak	PROPN
fuelectenerg-4161	78	6	sponge	sponge	NOUN
fuelectenerg-4161	78	7	function	function	NOUN
fuelectenerg-4161	78	8	family	family	NOUN
fuelectenerg-4161	78	9	makes	make	VERB
fuelectenerg-4161	78	10	use	use	NOUN
fuelectenerg-4161	78	11	of	of	ADP
fuelectenerg-4161	78	12	one	one	NUM
fuelectenerg-4161	78	13	of	of	ADP
fuelectenerg-4161	78	14	the	the	DET
fuelectenerg-4161	78	15	seven	seven	NUM
fuelectenerg-4161	78	16	keccak	keccak	PROPN
fuelectenerg-4161	78	17	-	-	PUNCT
fuelectenerg-4161	78	18	f	f	NOUN
fuelectenerg-4161	78	19	permutations	permutation	NOUN
fuelectenerg-4161	78	20	,	,	PUNCT
fuelectenerg-4161	78	21	denoted	denote	VERB
fuelectenerg-4161	78	22	keccak	keccak	NOUN
fuelectenerg-4161	78	23	-	-	PUNCT
fuelectenerg-4161	78	24	f[b	f[b	NOUN
fuelectenerg-4161	78	25	]	]	PUNCT
fuelectenerg-4161	78	26	,	,	PUNCT
fuelectenerg-4161	78	27	where	where	SCONJ
fuelectenerg-4161	78	28	b	b	X
fuelectenerg-4161	78	29	ϵ	ϵ	X
fuelectenerg-4161	78	30	{	{	PUNCT
fuelectenerg-4161	78	31	25	25	NUM
fuelectenerg-4161	78	32	,	,	PUNCT
fuelectenerg-4161	78	33	50	50	NUM
fuelectenerg-4161	78	34	,	,	PUNCT
fuelectenerg-4161	78	35	100	100	NUM
fuelectenerg-4161	78	36	,	,	PUNCT
fuelectenerg-4161	78	37	200	200	NUM
fuelectenerg-4161	78	38	,	,	PUNCT
fuelectenerg-4161	78	39	400	400	NUM
fuelectenerg-4161	78	40	,	,	PUNCT
fuelectenerg-4161	78	41	800	800	NUM
fuelectenerg-4161	78	42	,	,	PUNCT
fuelectenerg-4161	78	43	1600	1600	NUM
fuelectenerg-4161	78	44	}	}	PUNCT
fuelectenerg-4161	78	45	is	be	AUX
fuelectenerg-4161	78	46	the	the	DET
fuelectenerg-4161	78	47	width	width	NOUN
fuelectenerg-4161	78	48	of	of	ADP
fuelectenerg-4161	78	49	the	the	DET
fuelectenerg-4161	78	50	permutation	permutation	NOUN
fuelectenerg-4161	78	51	.	.	PUNCT
fuelectenerg-4161	79	1	fpga	fpga	PROPN
fuelectenerg-4161	79	2	implementation	implementation	NOUN
fuelectenerg-4161	79	3	of	of	ADP
fuelectenerg-4161	79	4	modified	modify	VERB
fuelectenerg-4161	79	5	elliptic	elliptic	ADJ
fuelectenerg-4161	79	6	curve	curve	NOUN
fuelectenerg-4161	79	7	digital	digital	ADJ
fuelectenerg-4161	79	8	signature	signature	NOUN
fuelectenerg-4161	79	9	algorithm	algorithm	NOUN
fuelectenerg-4161	79	10	133	133	NUM
fuelectenerg-4161	79	11	table	table	NOUN
fuelectenerg-4161	79	12	1	1	NUM
fuelectenerg-4161	79	13	number	number	NOUN
fuelectenerg-4161	79	14	of	of	ADP
fuelectenerg-4161	79	15	rounds	round	NOUN
fuelectenerg-4161	79	16	within	within	ADP
fuelectenerg-4161	79	17	keccak	keccak	PROPN
fuelectenerg-4161	79	18	-	-	PUNCT
fuelectenerg-4161	79	19	f	f	PROPN
fuelectenerg-4161	79	20	state	state	NOUN
fuelectenerg-4161	79	21	width	width	NOUN
fuelectenerg-4161	79	22	b	b	PROPN
fuelectenerg-4161	80	1	[	[	X
fuelectenerg-4161	80	2	bits	bit	NOUN
fuelectenerg-4161	80	3	]	]	X
fuelectenerg-4161	80	4	#	#	NOUN
fuelectenerg-4161	80	5	rounds	round	VERB
fuelectenerg-4161	80	6	nr	nr	NOUN
fuelectenerg-4161	80	7	25	25	NUM
fuelectenerg-4161	80	8	50	50	NUM
fuelectenerg-4161	80	9	100	100	NUM
fuelectenerg-4161	80	10	200	200	NUM
fuelectenerg-4161	80	11	400	400	NUM
fuelectenerg-4161	80	12	800	800	NUM
fuelectenerg-4161	80	13	1600	1600	NUM
fuelectenerg-4161	80	14	12	12	NUM
fuelectenerg-4161	80	15	14	14	NUM
fuelectenerg-4161	80	16	16	16	NUM
fuelectenerg-4161	80	17	18	18	NUM
fuelectenerg-4161	80	18	20	20	NUM
fuelectenerg-4161	80	19	22	22	NUM
fuelectenerg-4161	80	20	24	24	NUM
fuelectenerg-4161	80	21	these	these	DET
fuelectenerg-4161	80	22	keccak	keccak	PROPN
fuelectenerg-4161	80	23	-	-	PUNCT
fuelectenerg-4161	80	24	f	f	PROPN
fuelectenerg-4161	80	25	permutations	permutation	NOUN
fuelectenerg-4161	80	26	are	be	AUX
fuelectenerg-4161	80	27	iterated	iterate	VERB
fuelectenerg-4161	80	28	constructions	construction	NOUN
fuelectenerg-4161	80	29	consisting	consist	VERB
fuelectenerg-4161	80	30	of	of	ADP
fuelectenerg-4161	80	31	a	a	DET
fuelectenerg-4161	80	32	sequence	sequence	NOUN
fuelectenerg-4161	80	33	of	of	ADP
fuelectenerg-4161	80	34	almost	almost	ADV
fuelectenerg-4161	80	35	identical	identical	ADJ
fuelectenerg-4161	80	36	rounds	round	NOUN
fuelectenerg-4161	80	37	.	.	PUNCT
fuelectenerg-4161	81	1	the	the	DET
fuelectenerg-4161	81	2	number	number	NOUN
fuelectenerg-4161	81	3	of	of	ADP
fuelectenerg-4161	81	4	rounds	round	NOUN
fuelectenerg-4161	81	5	nr	nr	PROPN
fuelectenerg-4161	81	6	depends	depend	VERB
fuelectenerg-4161	81	7	on	on	ADP
fuelectenerg-4161	81	8	the	the	DET
fuelectenerg-4161	81	9	permutation	permutation	NOUN
fuelectenerg-4161	81	10	width	width	NOUN
fuelectenerg-4161	81	11	,	,	PUNCT
fuelectenerg-4161	81	12	and	and	CCONJ
fuelectenerg-4161	81	13	is	be	AUX
fuelectenerg-4161	81	14	given	give	VERB
fuelectenerg-4161	81	15	by	by	ADP
fuelectenerg-4161	81	16	nr	nr	NOUN
fuelectenerg-4161	81	17	=	=	PROPN
fuelectenerg-4161	81	18	12	12	NUM
fuelectenerg-4161	81	19	+	+	NUM
fuelectenerg-4161	81	20	2ℓ	2ℓ	NOUN
fuelectenerg-4161	81	21	,	,	PUNCT
fuelectenerg-4161	81	22	where	where	SCONJ
fuelectenerg-4161	81	23	2	2	NUM
fuelectenerg-4161	81	24	ℓ	ℓ	NOUN
fuelectenerg-4161	81	25	=	=	PUNCT
fuelectenerg-4161	81	26	b/25	b/25	NOUN
fuelectenerg-4161	81	27	.	.	PUNCT
fuelectenerg-4161	82	1	this	this	PRON
fuelectenerg-4161	82	2	gives	give	VERB
fuelectenerg-4161	82	3	24	24	NUM
fuelectenerg-4161	82	4	rounds	round	NOUN
fuelectenerg-4161	82	5	for	for	ADP
fuelectenerg-4161	82	6	keccak	keccak	NOUN
fuelectenerg-4161	82	7	-	-	PUNCT
fuelectenerg-4161	82	8	f	f	PROPN
fuelectenerg-4161	83	1	[	[	X
fuelectenerg-4161	83	2	1600	1600	NUM
fuelectenerg-4161	83	3	]	]	PUNCT
fuelectenerg-4161	83	4	.	.	PUNCT
fuelectenerg-4161	84	1	thus	thus	ADV
fuelectenerg-4161	84	2	referring	refer	VERB
fuelectenerg-4161	84	3	the	the	DET
fuelectenerg-4161	84	4	table	table	NOUN
fuelectenerg-4161	84	5	1	1	NUM
fuelectenerg-4161	84	6	the	the	DET
fuelectenerg-4161	84	7	sha-3	sha-3	NUM
fuelectenerg-4161	84	8	keccak	keccak	NOUN
fuelectenerg-4161	84	9	repeats	repeat	NOUN
fuelectenerg-4161	84	10	24	24	NUM
fuelectenerg-4161	84	11	rounds	round	NOUN
fuelectenerg-4161	84	12	,	,	PUNCT
fuelectenerg-4161	84	13	each	each	DET
fuelectenerg-4161	84	14	round	round	NOUN
fuelectenerg-4161	84	15	consists	consist	VERB
fuelectenerg-4161	84	16	of	of	ADP
fuelectenerg-4161	84	17	five	five	NUM
fuelectenerg-4161	84	18	steps	step	NOUN
fuelectenerg-4161	84	19	in	in	ADP
fuelectenerg-4161	84	20	sequence	sequence	NOUN
fuelectenerg-4161	84	21	manipulating	manipulate	VERB
fuelectenerg-4161	84	22	the	the	DET
fuelectenerg-4161	84	23	entire	entire	ADJ
fuelectenerg-4161	84	24	state	state	NOUN
fuelectenerg-4161	84	25			NOUN
fuelectenerg-4161	84	26	step	step	NOUN
fuelectenerg-4161	84	27	1	1	NUM
fuelectenerg-4161	84	28	step	step	NOUN
fuelectenerg-4161	84	29	this	this	DET
fuelectenerg-4161	84	30	function	function	NOUN
fuelectenerg-4161	84	31	consists	consist	VERB
fuelectenerg-4161	84	32	of	of	ADP
fuelectenerg-4161	84	33	three	three	NUM
fuelectenerg-4161	84	34	equations	equation	NOUN
fuelectenerg-4161	84	35	involving	involve	VERB
fuelectenerg-4161	84	36	simple	simple	ADJ
fuelectenerg-4161	84	37	xor	xor	PROPN
fuelectenerg-4161	84	38	and	and	CCONJ
fuelectenerg-4161	84	39	bitwise	bitwise	NOUN
fuelectenerg-4161	84	40	cyclic	cyclic	ADJ
fuelectenerg-4161	84	41	shift	shift	NOUN
fuelectenerg-4161	84	42	operations	operation	NOUN
fuelectenerg-4161	84	43	.	.	PUNCT
fuelectenerg-4161	85	1	[	[	X
fuelectenerg-4161	85	2	]	]	X
fuelectenerg-4161	85	3	[	[	PUNCT
fuelectenerg-4161	85	4	]	]	X
fuelectenerg-4161	85	5	[	[	PUNCT
fuelectenerg-4161	85	6	]	]	X
fuelectenerg-4161	85	7	[	[	PUNCT
fuelectenerg-4161	85	8	]	]	X
fuelectenerg-4161	85	9	[	[	PUNCT
fuelectenerg-4161	85	10	]	]	X
fuelectenerg-4161	85	11	[	[	PUNCT
fuelectenerg-4161	85	12	]	]	X
fuelectenerg-4161	85	13	(	(	PUNCT
fuelectenerg-4161	85	14	4	4	NUM
fuelectenerg-4161	85	15	)	)	PUNCT
fuelectenerg-4161	85	16	[	[	PUNCT
fuelectenerg-4161	85	17	]	]	X
fuelectenerg-4161	85	18	[	[	PUNCT
fuelectenerg-4161	85	19	]	]	X
fuelectenerg-4161	85	20	(	(	PUNCT
fuelectenerg-4161	85	21	[	[	PUNCT
fuelectenerg-4161	85	22	]	]	X
fuelectenerg-4161	85	23	)	)	PUNCT
fuelectenerg-4161	85	24	(	(	PUNCT
fuelectenerg-4161	85	25	5	5	NUM
fuelectenerg-4161	85	26	)	)	PUNCT
fuelectenerg-4161	85	27	[	[	PUNCT
fuelectenerg-4161	85	28	]	]	X
fuelectenerg-4161	85	29	[	[	PUNCT
fuelectenerg-4161	85	30	]	]	X
fuelectenerg-4161	85	31	[	[	PUNCT
fuelectenerg-4161	85	32	]	]	X
fuelectenerg-4161	85	33	(	(	PUNCT
fuelectenerg-4161	85	34	6	6	NUM
fuelectenerg-4161	85	35	)	)	PUNCT
fuelectenerg-4161	85	36	theta	theta	NOUN
fuelectenerg-4161	85	37	step	step	NOUN
fuelectenerg-4161	85	38	involves	involve	VERB
fuelectenerg-4161	85	39	xor	xor	PROPN
fuelectenerg-4161	85	40	-	-	PROPN
fuelectenerg-4161	85	41	ing	ing	NOUN
fuelectenerg-4161	85	42	between	between	ADP
fuelectenerg-4161	85	43	the	the	DET
fuelectenerg-4161	85	44	input	input	NOUN
fuelectenerg-4161	85	45	state	state	NOUN
fuelectenerg-4161	85	46	matrix	matrix	NOUN
fuelectenerg-4161	85	47	from	from	ADP
fuelectenerg-4161	85	48	eq	eq	PROPN
fuelectenerg-4161	85	49	.	.	PUNCT
fuelectenerg-4161	86	1	(	(	PUNCT
fuelectenerg-4161	86	2	4	4	NUM
fuelectenerg-4161	86	3	)	)	PUNCT
fuelectenerg-4161	86	4	and	and	CCONJ
fuelectenerg-4161	86	5	output	output	NOUN
fuelectenerg-4161	86	6	lanes	lane	NOUN
fuelectenerg-4161	86	7	obtained	obtain	VERB
fuelectenerg-4161	86	8	from	from	ADP
fuelectenerg-4161	86	9	eq	eq	PROPN
fuelectenerg-4161	86	10	.	.	PUNCT
fuelectenerg-4161	87	1	(	(	PUNCT
fuelectenerg-4161	87	2	5	5	NUM
fuelectenerg-4161	87	3	)	)	PUNCT
fuelectenerg-4161	87	4	to	to	PART
fuelectenerg-4161	87	5	generate	generate	VERB
fuelectenerg-4161	87	6	eq	eq	ADP
fuelectenerg-4161	87	7	.	.	PUNCT
fuelectenerg-4161	88	1	(	(	PUNCT
fuelectenerg-4161	88	2	6	6	NUM
fuelectenerg-4161	88	3	)	)	PUNCT
fuelectenerg-4161	88	4	.	.	PUNCT
fuelectenerg-4161	89	1			PART
fuelectenerg-4161	90	1	step	step	NOUN
fuelectenerg-4161	90	2	2	2	NUM
fuelectenerg-4161	90	3	step	step	NOUN
fuelectenerg-4161	90	4	[	[	PUNCT
fuelectenerg-4161	90	5	]	]	X
fuelectenerg-4161	90	6	[	[	PUNCT
fuelectenerg-4161	90	7	]	]	X
fuelectenerg-4161	90	8	(	(	PUNCT
fuelectenerg-4161	90	9	[	[	PUNCT
fuelectenerg-4161	90	10	]	]	X
fuelectenerg-4161	90	11	)	)	PUNCT
fuelectenerg-4161	90	12	(	(	PUNCT
fuelectenerg-4161	90	13	7	7	X
fuelectenerg-4161	90	14	)	)	PUNCT
fuelectenerg-4161	90	15	here	here	ADV
fuelectenerg-4161	90	16	steps	step	NOUN
fuelectenerg-4161	90	17	rho	rho	PROPN
fuelectenerg-4161	90	18	(	(	PUNCT
fuelectenerg-4161	90	19	ρ	ρ	NOUN
fuelectenerg-4161	90	20	)	)	PUNCT
fuelectenerg-4161	90	21	and	and	CCONJ
fuelectenerg-4161	90	22	pi	pi	NOUN
fuelectenerg-4161	90	23	(	(	PUNCT
fuelectenerg-4161	90	24	π	π	NOUN
fuelectenerg-4161	90	25	)	)	PUNCT
fuelectenerg-4161	90	26	together	together	ADV
fuelectenerg-4161	90	27	calculates	calculate	VERB
fuelectenerg-4161	90	28	a	a	DET
fuelectenerg-4161	90	29	5x5	5x5	NUM
fuelectenerg-4161	90	30	array	array	NOUN
fuelectenerg-4161	90	31	“	"	PUNCT
fuelectenerg-4161	90	32	b	b	NOUN
fuelectenerg-4161	90	33	”	"	PUNCT
fuelectenerg-4161	90	34	.	.	PUNCT
fuelectenerg-4161	91	1	the	the	DET
fuelectenerg-4161	91	2	operation	operation	NOUN
fuelectenerg-4161	91	3	of	of	ADP
fuelectenerg-4161	91	4	rho	rho	ADJ
fuelectenerg-4161	91	5	(	(	PUNCT
fuelectenerg-4161	91	6	ρ	ρ	NOUN
fuelectenerg-4161	91	7	)	)	PUNCT
fuelectenerg-4161	91	8	and	and	CCONJ
fuelectenerg-4161	91	9	pi	pi	NOUN
fuelectenerg-4161	91	10	(	(	PUNCT
fuelectenerg-4161	91	11	π	π	X
fuelectenerg-4161	91	12	)	)	PUNCT
fuelectenerg-4161	91	13	take	take	VERB
fuelectenerg-4161	91	14	the	the	DET
fuelectenerg-4161	91	15	state	state	NOUN
fuelectenerg-4161	91	16	array	array	NOUN
fuelectenerg-4161	91	17	“	"	PUNCT
fuelectenerg-4161	91	18	c	c	NOUN
fuelectenerg-4161	91	19	”	"	PUNCT
fuelectenerg-4161	91	20	and	and	CCONJ
fuelectenerg-4161	91	21	perform	perform	VERB
fuelectenerg-4161	91	22	circular	circular	ADJ
fuelectenerg-4161	91	23	rotation	rotation	NOUN
fuelectenerg-4161	91	24	on	on	ADP
fuelectenerg-4161	91	25	each	each	PRON
fuelectenerg-4161	91	26	of	of	ADP
fuelectenerg-4161	91	27	the	the	DET
fuelectenerg-4161	91	28	25	25	NUM
fuelectenerg-4161	91	29	lanes	lane	NOUN
fuelectenerg-4161	91	30	by	by	ADP
fuelectenerg-4161	91	31	a	a	DET
fuelectenerg-4161	91	32	fixed	fix	VERB
fuelectenerg-4161	91	33	number	number	NOUN
fuelectenerg-4161	91	34	to	to	PART
fuelectenerg-4161	91	35	obtain	obtain	VERB
fuelectenerg-4161	91	36	array	array	NOUN
fuelectenerg-4161	91	37	“	"	PUNCT
fuelectenerg-4161	91	38	d	d	NOUN
fuelectenerg-4161	91	39	”	"	PUNCT
fuelectenerg-4161	91	40	in	in	ADP
fuelectenerg-4161	91	41	eq	eq	ADP
fuelectenerg-4161	91	42	.	.	PUNCT
fuelectenerg-4161	92	1	(	(	PUNCT
fuelectenerg-4161	92	2	7	7	NUM
fuelectenerg-4161	92	3	)	)	PUNCT
fuelectenerg-4161	92	4	.	.	PUNCT
fuelectenerg-4161	93	1			PART
fuelectenerg-4161	93	2	step	step	NOUN
fuelectenerg-4161	93	3	3	3	NUM
fuelectenerg-4161	93	4	step	step	NOUN
fuelectenerg-4161	93	5	[	[	PUNCT
fuelectenerg-4161	93	6	]	]	X
fuelectenerg-4161	93	7	[	[	PUNCT
fuelectenerg-4161	93	8	]	]	X
fuelectenerg-4161	93	9	(	(	PUNCT
fuelectenerg-4161	93	10	[	[	PUNCT
fuelectenerg-4161	93	11	]	]	X
fuelectenerg-4161	93	12	[	[	PUNCT
fuelectenerg-4161	93	13	]	]	X
fuelectenerg-4161	93	14	)	)	PUNCT
fuelectenerg-4161	93	15	(	(	PUNCT
fuelectenerg-4161	93	16	8)	8)	NUM
fuelectenerg-4161	93	17	in	in	ADP
fuelectenerg-4161	93	18	this	this	DET
fuelectenerg-4161	93	19	step	step	NOUN
fuelectenerg-4161	93	20	operation	operation	NOUN
fuelectenerg-4161	93	21	on	on	ADP
fuelectenerg-4161	93	22	the	the	DET
fuelectenerg-4161	93	23	lanes	lane	NOUN
fuelectenerg-4161	93	24	,	,	PUNCT
fuelectenerg-4161	93	25	the	the	DET
fuelectenerg-4161	93	26	d	d	PROPN
fuelectenerg-4161	93	27	array	array	NOUN
fuelectenerg-4161	93	28	obtained	obtain	VERB
fuelectenerg-4161	93	29	in	in	ADP
fuelectenerg-4161	93	30	the	the	DET
fuelectenerg-4161	93	31	previous	previous	ADJ
fuelectenerg-4161	93	32	steps	step	NOUN
fuelectenerg-4161	93	33	is	be	AUX
fuelectenerg-4161	93	34	manipulated	manipulate	VERB
fuelectenerg-4161	93	35	and	and	CCONJ
fuelectenerg-4161	93	36	the	the	DET
fuelectenerg-4161	93	37	results	result	NOUN
fuelectenerg-4161	93	38	are	be	AUX
fuelectenerg-4161	93	39	replaced	replace	VERB
fuelectenerg-4161	93	40	in	in	ADP
fuelectenerg-4161	93	41	the	the	DET
fuelectenerg-4161	93	42	state	state	NOUN
fuelectenerg-4161	93	43	array	array	NOUN
fuelectenerg-4161	93	44	“	"	PUNCT
fuelectenerg-4161	93	45	s	s	X
fuelectenerg-4161	93	46	”	"	PUNCT
fuelectenerg-4161	93	47	illustrated	illustrate	VERB
fuelectenerg-4161	93	48	in	in	ADP
fuelectenerg-4161	93	49	the	the	DET
fuelectenerg-4161	93	50	eq	eq	NOUN
fuelectenerg-4161	93	51	.	.	PUNCT
fuelectenerg-4161	94	1	(	(	PUNCT
fuelectenerg-4161	94	2	8)	8)	NUM
fuelectenerg-4161	94	3	.	.	PUNCT
fuelectenerg-4161	94	4			PART
fuelectenerg-4161	95	1	step	step	NOUN
fuelectenerg-4161	95	2	4	4	NUM
fuelectenerg-4161	95	3	step	step	NOUN
fuelectenerg-4161	95	4	in	in	ADP
fuelectenerg-4161	95	5	the	the	DET
fuelectenerg-4161	95	6	iota	iota	NOUN
fuelectenerg-4161	95	7	(	(	PUNCT
fuelectenerg-4161	95	8	step	step	NOUN
fuelectenerg-4161	95	9	specified	specify	VERB
fuelectenerg-4161	95	10	in	in	ADP
fuelectenerg-4161	95	11	eq	eq	ADP
fuelectenerg-4161	95	12	.	.	PUNCT
fuelectenerg-4161	96	1	(	(	PUNCT
fuelectenerg-4161	96	2	9	9	X
fuelectenerg-4161	96	3	)	)	PUNCT
fuelectenerg-4161	96	4	the	the	DET
fuelectenerg-4161	96	5	xor	xor	PROPN
fuelectenerg-4161	96	6	operation	operation	NOUN
fuelectenerg-4161	96	7	is	be	AUX
fuelectenerg-4161	96	8	performed	perform	VERB
fuelectenerg-4161	96	9	for	for	ADP
fuelectenerg-4161	96	10	rc	rc	PROPN
fuelectenerg-4161	96	11	round	round	ADJ
fuelectenerg-4161	96	12	constant	constant	ADJ
fuelectenerg-4161	96	13	specific	specific	NOUN
fuelectenerg-4161	96	14	for	for	ADP
fuelectenerg-4161	96	15	each	each	PRON
fuelectenerg-4161	96	16	of	of	ADP
fuelectenerg-4161	96	17	the	the	DET
fuelectenerg-4161	96	18	24	24	NUM
fuelectenerg-4161	96	19	rounds	round	NOUN
fuelectenerg-4161	96	20	of	of	ADP
fuelectenerg-4161	96	21	keccak	keccak	NOUN
fuelectenerg-4161	96	22	-	-	PUNCT
fuelectenerg-4161	96	23	f[1600	f[1600	NOUN
fuelectenerg-4161	96	24	]	]	PUNCT
fuelectenerg-4161	96	25	with	with	ADP
fuelectenerg-4161	96	26	the	the	DET
fuelectenerg-4161	96	27	lane	lane	NOUN
fuelectenerg-4161	96	28	at	at	ADP
fuelectenerg-4161	96	29	location	location	NOUN
fuelectenerg-4161	96	30	[	[	X
fuelectenerg-4161	96	31	0	0	NUM
fuelectenerg-4161	96	32	,	,	PUNCT
fuelectenerg-4161	96	33	0	0	NUM
fuelectenerg-4161	96	34	]	]	PUNCT
fuelectenerg-4161	96	35	of	of	ADP
fuelectenerg-4161	96	36	the	the	DET
fuelectenerg-4161	96	37	new	new	ADJ
fuelectenerg-4161	96	38	state	state	NOUN
fuelectenerg-4161	96	39	matrix	matrix	NOUN
fuelectenerg-4161	96	40	“	"	PUNCT
fuelectenerg-4161	96	41	s	s	NOUN
fuelectenerg-4161	96	42	”	"	PUNCT
fuelectenerg-4161	96	43	.	.	PUNCT
fuelectenerg-4161	97	1	[	[	PUNCT
fuelectenerg-4161	97	2	]	]	X
fuelectenerg-4161	97	3	[	[	PUNCT
fuelectenerg-4161	97	4	]	]	X
fuelectenerg-4161	97	5	[	[	PUNCT
fuelectenerg-4161	97	6	]	]	X
fuelectenerg-4161	97	7	(	(	PUNCT
fuelectenerg-4161	97	8	9	9	NUM
fuelectenerg-4161	97	9	)	)	SYM
fuelectenerg-4161	97	10	4	4	NUM
fuelectenerg-4161	97	11	.	.	PUNCT
fuelectenerg-4161	97	12	elliptic	elliptic	ADJ
fuelectenerg-4161	97	13	curve	curve	NOUN
fuelectenerg-4161	97	14	digital	digital	ADJ
fuelectenerg-4161	97	15	signature	signature	NOUN
fuelectenerg-4161	97	16	algorithm	algorithm	NOUN
fuelectenerg-4161	97	17	in	in	ADP
fuelectenerg-4161	97	18	1992	1992	NUM
fuelectenerg-4161	97	19	scott	scott	PROPN
fuelectenerg-4161	97	20	vanstone	vanstone	NOUN
fuelectenerg-4161	97	21	proposed	propose	VERB
fuelectenerg-4161	97	22	ecdsa	ecdsa	PROPN
fuelectenerg-4161	97	23	because	because	SCONJ
fuelectenerg-4161	97	24	nist	nist	PROPN
fuelectenerg-4161	97	25	requested	request	VERB
fuelectenerg-4161	97	26	public	public	ADJ
fuelectenerg-4161	97	27	comment	comment	NOUN
fuelectenerg-4161	97	28	related	relate	VERB
fuelectenerg-4161	97	29	to	to	ADP
fuelectenerg-4161	97	30	dss	dss	NOUN
fuelectenerg-4161	97	31	proposal	proposal	NOUN
fuelectenerg-4161	97	32	[	[	X
fuelectenerg-4161	97	33	6	6	NUM
fuelectenerg-4161	97	34	]	]	PUNCT
fuelectenerg-4161	97	35	.	.	PUNCT
fuelectenerg-4161	98	1	in	in	ADP
fuelectenerg-4161	98	2	1998	1998	NUM
fuelectenerg-4161	98	3	it	it	PRON
fuelectenerg-4161	98	4	was	be	AUX
fuelectenerg-4161	98	5	accepted	accept	VERB
fuelectenerg-4161	98	6	as	as	ADP
fuelectenerg-4161	98	7	iso	iso	NOUN
fuelectenerg-4161	98	8	14888	14888	NUM
fuelectenerg-4161	98	9	-	-	SYM
fuelectenerg-4161	98	10	3	3	NUM
fuelectenerg-4161	98	11	standard	standard	NOUN
fuelectenerg-4161	98	12	by	by	ADP
fuelectenerg-4161	98	13	international	international	ADJ
fuelectenerg-4161	98	14	standards	standard	NOUN
fuelectenerg-4161	98	15	organization	organization	NOUN
fuelectenerg-4161	98	16	(	(	PUNCT
fuelectenerg-4161	98	17	iso	iso	NOUN
fuelectenerg-4161	98	18	)	)	PUNCT
fuelectenerg-4161	98	19	.	.	PUNCT
fuelectenerg-4161	99	1	the	the	DET
fuelectenerg-4161	99	2	ecdsa	ecdsa	PROPN
fuelectenerg-4161	99	3	is	be	AUX
fuelectenerg-4161	99	4	an	an	DET
fuelectenerg-4161	99	5	elliptic	elliptic	ADJ
fuelectenerg-4161	99	6	curve	curve	NOUN
fuelectenerg-4161	99	7	variant	variant	NOUN
fuelectenerg-4161	99	8	of	of	ADP
fuelectenerg-4161	99	9	134	134	NUM
fuelectenerg-4161	99	10	v.	v.	ADP
fuelectenerg-4161	99	11	kamalakannan	kamalakannan	PROPN
fuelectenerg-4161	99	12	,	,	PUNCT
fuelectenerg-4161	99	13	s.	s.	PROPN
fuelectenerg-4161	99	14	tamilselvan	tamilselvan	VERB
fuelectenerg-4161	99	15	the	the	DET
fuelectenerg-4161	99	16	dsa	dsa	NOUN
fuelectenerg-4161	99	17	and	and	CCONJ
fuelectenerg-4161	99	18	because	because	SCONJ
fuelectenerg-4161	99	19	of	of	ADP
fuelectenerg-4161	99	20	ecdlp	ecdlp	NOUN
fuelectenerg-4161	99	21	generates	generate	VERB
fuelectenerg-4161	99	22	a	a	DET
fuelectenerg-4161	99	23	cryptographically	cryptographically	ADV
fuelectenerg-4161	99	24	strong	strong	ADJ
fuelectenerg-4161	99	25	digital	digital	ADJ
fuelectenerg-4161	99	26	signatures	signature	NOUN
fuelectenerg-4161	99	27	.	.	PUNCT
fuelectenerg-4161	100	1	the	the	DET
fuelectenerg-4161	100	2	integrity	integrity	NOUN
fuelectenerg-4161	100	3	plays	play	VERB
fuelectenerg-4161	100	4	a	a	DET
fuelectenerg-4161	100	5	critical	critical	ADJ
fuelectenerg-4161	100	6	role	role	NOUN
fuelectenerg-4161	100	7	to	to	PART
fuelectenerg-4161	100	8	safeguard	safeguard	VERB
fuelectenerg-4161	100	9	data	datum	NOUN
fuelectenerg-4161	100	10	inside	inside	ADP
fuelectenerg-4161	100	11	the	the	DET
fuelectenerg-4161	100	12	network	network	NOUN
fuelectenerg-4161	100	13	as	as	SCONJ
fuelectenerg-4161	100	14	shown	show	VERB
fuelectenerg-4161	100	15	in	in	ADP
fuelectenerg-4161	100	16	fig	fig	NOUN
fuelectenerg-4161	100	17	4	4	NUM
fuelectenerg-4161	100	18	.	.	PUNCT
fuelectenerg-4161	101	1	sender	sender	NOUN
fuelectenerg-4161	101	2	bob	bob	PROPN
fuelectenerg-4161	101	3	generates	generate	VERB
fuelectenerg-4161	101	4	a	a	DET
fuelectenerg-4161	101	5	signature	signature	NOUN
fuelectenerg-4161	101	6	to	to	PART
fuelectenerg-4161	101	7	be	be	AUX
fuelectenerg-4161	101	8	added	add	VERB
fuelectenerg-4161	101	9	with	with	ADP
fuelectenerg-4161	101	10	the	the	DET
fuelectenerg-4161	101	11	message	message	NOUN
fuelectenerg-4161	101	12	before	before	ADP
fuelectenerg-4161	101	13	transmission	transmission	NOUN
fuelectenerg-4161	101	14	.	.	PUNCT
fuelectenerg-4161	102	1	at	at	ADP
fuelectenerg-4161	102	2	the	the	DET
fuelectenerg-4161	102	3	other	other	ADJ
fuelectenerg-4161	102	4	end	end	NOUN
fuelectenerg-4161	102	5	receiver	receiver	NOUN
fuelectenerg-4161	102	6	alice	alice	PROPN
fuelectenerg-4161	102	7	verifies	verify	VERB
fuelectenerg-4161	102	8	the	the	DET
fuelectenerg-4161	102	9	signature	signature	NOUN
fuelectenerg-4161	102	10	,	,	PUNCT
fuelectenerg-4161	102	11	in	in	ADP
fuelectenerg-4161	102	12	order	order	NOUN
fuelectenerg-4161	102	13	to	to	PART
fuelectenerg-4161	102	14	receive	receive	VERB
fuelectenerg-4161	102	15	the	the	DET
fuelectenerg-4161	102	16	message	message	NOUN
fuelectenerg-4161	102	17	[	[	X
fuelectenerg-4161	102	18	7	7	NUM
fuelectenerg-4161	102	19	]	]	PUNCT
fuelectenerg-4161	102	20	.	.	PUNCT
fuelectenerg-4161	103	1	fig	fig	NOUN
fuelectenerg-4161	103	2	.	.	PUNCT
fuelectenerg-4161	104	1	4	4	NUM
fuelectenerg-4161	104	2	digital	digital	ADJ
fuelectenerg-4161	104	3	signature	signature	NOUN
fuelectenerg-4161	104	4	process	process	NOUN
fuelectenerg-4161	104	5	ecdsa	ecdsa	NOUN
fuelectenerg-4161	104	6	has	have	AUX
fuelectenerg-4161	104	7	been	be	AUX
fuelectenerg-4161	104	8	established	establish	VERB
fuelectenerg-4161	104	9	as	as	ADP
fuelectenerg-4161	104	10	an	an	DET
fuelectenerg-4161	104	11	efficient	efficient	ADJ
fuelectenerg-4161	104	12	algorithm	algorithm	NOUN
fuelectenerg-4161	104	13	against	against	ADP
fuelectenerg-4161	104	14	cyberattacks	cyberattack	NOUN
fuelectenerg-4161	104	15	and	and	CCONJ
fuelectenerg-4161	104	16	are	be	AUX
fuelectenerg-4161	104	17	characterized	characterize	VERB
fuelectenerg-4161	104	18	by	by	ADP
fuelectenerg-4161	104	19	their	their	PRON
fuelectenerg-4161	104	20	speed	speed	NOUN
fuelectenerg-4161	104	21	to	to	PART
fuelectenerg-4161	104	22	generate	generate	VERB
fuelectenerg-4161	104	23	and	and	CCONJ
fuelectenerg-4161	104	24	verify	verify	VERB
fuelectenerg-4161	104	25	the	the	DET
fuelectenerg-4161	104	26	signature	signature	NOUN
fuelectenerg-4161	104	27	.	.	PUNCT
fuelectenerg-4161	105	1	ecdsa	ecdsa	PROPN
fuelectenerg-4161	105	2	consists	consist	VERB
fuelectenerg-4161	105	3	of	of	ADP
fuelectenerg-4161	105	4	3	3	NUM
fuelectenerg-4161	105	5	phases	phase	NOUN
fuelectenerg-4161	105	6	:	:	PUNCT
fuelectenerg-4161	105	7	key	key	ADJ
fuelectenerg-4161	105	8	generation	generation	NOUN
fuelectenerg-4161	105	9	,	,	PUNCT
fuelectenerg-4161	105	10	signature	signature	NOUN
fuelectenerg-4161	105	11	generation	generation	NOUN
fuelectenerg-4161	105	12	and	and	CCONJ
fuelectenerg-4161	105	13	signature	signature	NOUN
fuelectenerg-4161	105	14	verification	verification	NOUN
fuelectenerg-4161	105	15	.	.	PUNCT
fuelectenerg-4161	106	1	these	these	DET
fuelectenerg-4161	106	2	three	three	NUM
fuelectenerg-4161	106	3	phases	phase	NOUN
fuelectenerg-4161	106	4	are	be	AUX
fuelectenerg-4161	106	5	explained	explain	VERB
fuelectenerg-4161	106	6	in	in	ADP
fuelectenerg-4161	106	7	the	the	DET
fuelectenerg-4161	106	8	following	follow	VERB
fuelectenerg-4161	106	9	sub	sub	NOUN
fuelectenerg-4161	106	10	-	-	NOUN
fuelectenerg-4161	106	11	sections	section	NOUN
fuelectenerg-4161	106	12	.	.	PUNCT
fuelectenerg-4161	107	1	4.1	4.1	NUM
fuelectenerg-4161	107	2	.	.	PUNCT
fuelectenerg-4161	108	1	ecdsa	ecdsa	PROPN
fuelectenerg-4161	108	2	key	key	ADJ
fuelectenerg-4161	108	3	generation	generation	NOUN
fuelectenerg-4161	108	4	to	to	PART
fuelectenerg-4161	108	5	generate	generate	VERB
fuelectenerg-4161	108	6	a	a	DET
fuelectenerg-4161	108	7	public	public	ADJ
fuelectenerg-4161	108	8	and	and	CCONJ
fuelectenerg-4161	108	9	private	private	ADJ
fuelectenerg-4161	108	10	key	key	ADJ
fuelectenerg-4161	108	11	sender	sender	NOUN
fuelectenerg-4161	108	12	performs	perform	VERB
fuelectenerg-4161	108	13	the	the	DET
fuelectenerg-4161	108	14	following	follow	VERB
fuelectenerg-4161	108	15	steps	step	NOUN
fuelectenerg-4161	108	16	step	step	NOUN
fuelectenerg-4161	108	17	1	1	NUM
fuelectenerg-4161	108	18	:	:	PUNCT
fuelectenerg-4161	108	19	select	select	VERB
fuelectenerg-4161	108	20	a	a	DET
fuelectenerg-4161	108	21	random	random	ADJ
fuelectenerg-4161	108	22	integer	integer	NOUN
fuelectenerg-4161	108	23	da	da	PROPN
fuelectenerg-4161	108	24	∈	∈	PROPN
fuelectenerg-4161	109	1	[	[	X
fuelectenerg-4161	109	2	1	1	NUM
fuelectenerg-4161	109	3	,	,	PUNCT
fuelectenerg-4161	109	4	p-1	p-1	NOUN
fuelectenerg-4161	109	5	]	]	PUNCT
fuelectenerg-4161	109	6	step	step	NOUN
fuelectenerg-4161	109	7	2	2	NUM
fuelectenerg-4161	109	8	:	:	PUNCT
fuelectenerg-4161	109	9	computes	compute	VERB
fuelectenerg-4161	109	10	the	the	DET
fuelectenerg-4161	109	11	public	public	ADJ
fuelectenerg-4161	109	12	key	key	NOUN
fuelectenerg-4161	109	13	qa	qa	PROPN
fuelectenerg-4161	109	14	=	=	PROPN
fuelectenerg-4161	109	15	dag	dag	PROPN
fuelectenerg-4161	109	16	.	.	PUNCT
fuelectenerg-4161	110	1	4.2	4.2	NUM
fuelectenerg-4161	110	2	.	.	PUNCT
fuelectenerg-4161	111	1	ecdsa	ecdsa	PROPN
fuelectenerg-4161	111	2	signature	signature	NOUN
fuelectenerg-4161	111	3	generation	generation	NOUN
fuelectenerg-4161	111	4	using	use	VERB
fuelectenerg-4161	111	5	the	the	DET
fuelectenerg-4161	111	6	sender‟s	sender‟s	NOUN
fuelectenerg-4161	111	7	private	private	ADJ
fuelectenerg-4161	111	8	key	key	ADJ
fuelectenerg-4161	111	9	da	da	NOUN
fuelectenerg-4161	111	10	and	and	CCONJ
fuelectenerg-4161	111	11	public	public	ADJ
fuelectenerg-4161	111	12	key	key	ADJ
fuelectenerg-4161	111	13	qa	qa	PROPN
fuelectenerg-4161	111	14	step	step	NOUN
fuelectenerg-4161	111	15	1	1	NUM
fuelectenerg-4161	111	16	:	:	PUNCT
fuelectenerg-4161	111	17	select	select	VERB
fuelectenerg-4161	111	18	an	an	DET
fuelectenerg-4161	111	19	integer	integer	NOUN
fuelectenerg-4161	111	20	k	k	PROPN
fuelectenerg-4161	111	21	∈	∈	PROPN
fuelectenerg-4161	112	1	[	[	X
fuelectenerg-4161	112	2	1	1	NUM
fuelectenerg-4161	112	3	,	,	PUNCT
fuelectenerg-4161	112	4	p	p	NOUN
fuelectenerg-4161	112	5	−	−	PROPN
fuelectenerg-4161	112	6	1	1	NUM
fuelectenerg-4161	112	7	]	]	PUNCT
fuelectenerg-4161	112	8	step	step	NOUN
fuelectenerg-4161	112	9	2	2	NUM
fuelectenerg-4161	112	10	:	:	PUNCT
fuelectenerg-4161	112	11	compute	compute	NOUN
fuelectenerg-4161	112	12	h	h	NOUN
fuelectenerg-4161	112	13	=	=	PUNCT
fuelectenerg-4161	112	14	hash	hash	NOUN
fuelectenerg-4161	112	15	(	(	PUNCT
fuelectenerg-4161	112	16	m	m	NOUN
fuelectenerg-4161	112	17	)	)	PUNCT
fuelectenerg-4161	112	18	=	=	PRON
fuelectenerg-4161	112	19	sha-3	sha-3	NUM
fuelectenerg-4161	112	20	(	(	PUNCT
fuelectenerg-4161	112	21	m	m	NOUN
fuelectenerg-4161	112	22	)	)	PUNCT
fuelectenerg-4161	112	23	step	step	NOUN
fuelectenerg-4161	112	24	3	3	NUM
fuelectenerg-4161	112	25	:	:	PUNCT
fuelectenerg-4161	112	26	calculate	calculate	NOUN
fuelectenerg-4161	112	27	kg=	kg=	PROPN
fuelectenerg-4161	112	28	(	(	PUNCT
fuelectenerg-4161	112	29	x1	x1	PROPN
fuelectenerg-4161	112	30	,	,	PUNCT
fuelectenerg-4161	112	31	y1	y1	NOUN
fuelectenerg-4161	112	32	)	)	PUNCT
fuelectenerg-4161	112	33	step	step	NOUN
fuelectenerg-4161	112	34	4	4	NUM
fuelectenerg-4161	112	35	:	:	PUNCT
fuelectenerg-4161	112	36	compute	compute	NOUN
fuelectenerg-4161	112	37	r	r	NOUN
fuelectenerg-4161	112	38	=	=	SYM
fuelectenerg-4161	112	39	x1	x1	PROPN
fuelectenerg-4161	112	40	(	(	PUNCT
fuelectenerg-4161	112	41	mod	mod	PROPN
fuelectenerg-4161	112	42	p	p	PROPN
fuelectenerg-4161	112	43	)	)	PUNCT
fuelectenerg-4161	112	44	,	,	PUNCT
fuelectenerg-4161	112	45	if	if	SCONJ
fuelectenerg-4161	112	46	r	r	NOUN
fuelectenerg-4161	112	47	=	=	SYM
fuelectenerg-4161	112	48	0	0	NUM
fuelectenerg-4161	112	49	,	,	PUNCT
fuelectenerg-4161	112	50	go	go	VERB
fuelectenerg-4161	112	51	to	to	PART
fuelectenerg-4161	112	52	step	step	VERB
fuelectenerg-4161	112	53	2	2	NUM
fuelectenerg-4161	112	54	step	step	NOUN
fuelectenerg-4161	112	55	5	5	NUM
fuelectenerg-4161	112	56	:	:	PUNCT
fuelectenerg-4161	112	57	compute	compute	NOUN
fuelectenerg-4161	112	58	s	s	PART
fuelectenerg-4161	112	59	=	=	X
fuelectenerg-4161	112	60	k	k	X
fuelectenerg-4161	112	61	-1	-1	X
fuelectenerg-4161	112	62	(	(	PUNCT
fuelectenerg-4161	112	63	h	h	NOUN
fuelectenerg-4161	113	1	+	+	CCONJ
fuelectenerg-4161	113	2	da	da	PROPN
fuelectenerg-4161	113	3	r	r	NOUN
fuelectenerg-4161	113	4	)	)	PUNCT
fuelectenerg-4161	113	5	(	(	PUNCT
fuelectenerg-4161	113	6	mod	mod	PROPN
fuelectenerg-4161	113	7	p	p	X
fuelectenerg-4161	113	8	)	)	PUNCT
fuelectenerg-4161	113	9	.	.	PUNCT
fuelectenerg-4161	114	1	if	if	SCONJ
fuelectenerg-4161	114	2	s	s	NOUN
fuelectenerg-4161	114	3	=	=	NOUN
fuelectenerg-4161	114	4	0	0	NUM
fuelectenerg-4161	114	5	,	,	PUNCT
fuelectenerg-4161	114	6	go	go	VERB
fuelectenerg-4161	114	7	to	to	PART
fuelectenerg-4161	114	8	step	step	VERB
fuelectenerg-4161	114	9	2	2	NUM
fuelectenerg-4161	114	10	the	the	DET
fuelectenerg-4161	114	11	signature	signature	NOUN
fuelectenerg-4161	114	12	pair	pair	NOUN
fuelectenerg-4161	114	13	generated	generate	VERB
fuelectenerg-4161	114	14	is	be	AUX
fuelectenerg-4161	114	15	(	(	PUNCT
fuelectenerg-4161	114	16	r	r	NOUN
fuelectenerg-4161	114	17	,	,	PUNCT
fuelectenerg-4161	114	18	s	s	PART
fuelectenerg-4161	114	19	)	)	PUNCT
fuelectenerg-4161	114	20	4.3	4.3	NUM
fuelectenerg-4161	114	21	.	.	PUNCT
fuelectenerg-4161	115	1	ecdsa	ecdsa	PROPN
fuelectenerg-4161	115	2	signature	signature	NOUN
fuelectenerg-4161	115	3	verification	verification	NOUN
fuelectenerg-4161	115	4	using	use	VERB
fuelectenerg-4161	115	5	public	public	ADJ
fuelectenerg-4161	115	6	key	key	ADJ
fuelectenerg-4161	115	7	qa	qa	PROPN
fuelectenerg-4161	115	8	and	and	CCONJ
fuelectenerg-4161	115	9	sender‟s	sender‟s	NOUN
fuelectenerg-4161	115	10	signature	signature	NOUN
fuelectenerg-4161	115	11	(	(	PUNCT
fuelectenerg-4161	115	12	r	r	NOUN
fuelectenerg-4161	115	13	,	,	PUNCT
fuelectenerg-4161	115	14	s	s	NOUN
fuelectenerg-4161	115	15	)	)	PUNCT
fuelectenerg-4161	115	16	step	step	NOUN
fuelectenerg-4161	115	17	1	1	NUM
fuelectenerg-4161	115	18	:	:	PUNCT
fuelectenerg-4161	115	19	verify	verify	VERB
fuelectenerg-4161	115	20	that	that	SCONJ
fuelectenerg-4161	115	21	r	r	NOUN
fuelectenerg-4161	115	22	and	and	CCONJ
fuelectenerg-4161	115	23	s	s	NOUN
fuelectenerg-4161	115	24	∈	∈	PROPN
fuelectenerg-4161	116	1	[	[	X
fuelectenerg-4161	116	2	1	1	NUM
fuelectenerg-4161	116	3	,	,	PUNCT
fuelectenerg-4161	116	4	p	p	NOUN
fuelectenerg-4161	116	5	−	−	PROPN
fuelectenerg-4161	116	6	1	1	NUM
fuelectenerg-4161	116	7	]	]	PUNCT
fuelectenerg-4161	116	8	.	.	PUNCT
fuelectenerg-4161	117	1	if	if	SCONJ
fuelectenerg-4161	117	2	not	not	PART
fuelectenerg-4161	117	3	,	,	PUNCT
fuelectenerg-4161	117	4	the	the	DET
fuelectenerg-4161	117	5	signature	signature	NOUN
fuelectenerg-4161	117	6	is	be	AUX
fuelectenerg-4161	117	7	invalid	invalid	ADJ
fuelectenerg-4161	117	8	step	step	NOUN
fuelectenerg-4161	117	9	2	2	NUM
fuelectenerg-4161	117	10	:	:	PUNCT
fuelectenerg-4161	117	11	compute	compute	NOUN
fuelectenerg-4161	117	12	h	h	NOUN
fuelectenerg-4161	117	13	=	=	PUNCT
fuelectenerg-4161	117	14	hash	hash	NOUN
fuelectenerg-4161	117	15	(	(	PUNCT
fuelectenerg-4161	117	16	m	m	NOUN
fuelectenerg-4161	117	17	)	)	PUNCT
fuelectenerg-4161	117	18	=	=	PRON
fuelectenerg-4161	117	19	sha-3	sha-3	NUM
fuelectenerg-4161	117	20	(	(	PUNCT
fuelectenerg-4161	117	21	m	m	NOUN
fuelectenerg-4161	117	22	)	)	PUNCT
fuelectenerg-4161	117	23	step	step	NOUN
fuelectenerg-4161	117	24	3	3	NUM
fuelectenerg-4161	117	25	:	:	PUNCT
fuelectenerg-4161	117	26	compute	compute	NOUN
fuelectenerg-4161	117	27	w	w	NOUN
fuelectenerg-4161	117	28	=	=	SYM
fuelectenerg-4161	117	29	s	s	PART
fuelectenerg-4161	117	30	-1	-1	PUNCT
fuelectenerg-4161	117	31	(	(	PUNCT
fuelectenerg-4161	117	32	mod	mod	PROPN
fuelectenerg-4161	117	33	p	p	NOUN
fuelectenerg-4161	117	34	)	)	PUNCT
fuelectenerg-4161	117	35	step	step	NOUN
fuelectenerg-4161	117	36	4	4	NUM
fuelectenerg-4161	117	37	:	:	PUNCT
fuelectenerg-4161	117	38	compute	compute	NOUN
fuelectenerg-4161	117	39	u1	u1	NOUN
fuelectenerg-4161	117	40	=	=	SYM
fuelectenerg-4161	117	41	hw	hw	PROPN
fuelectenerg-4161	117	42	(	(	PUNCT
fuelectenerg-4161	117	43	mod	mod	PROPN
fuelectenerg-4161	117	44	p	p	X
fuelectenerg-4161	117	45	)	)	PUNCT
fuelectenerg-4161	117	46	and	and	CCONJ
fuelectenerg-4161	117	47	u2	u2	PROPN
fuelectenerg-4161	117	48	=	=	PUNCT
fuelectenerg-4161	117	49	rw	rw	PROPN
fuelectenerg-4161	117	50	(	(	PUNCT
fuelectenerg-4161	117	51	mod	mod	PROPN
fuelectenerg-4161	117	52	p	p	NOUN
fuelectenerg-4161	117	53	)	)	PUNCT
fuelectenerg-4161	117	54	step	step	NOUN
fuelectenerg-4161	117	55	5	5	NUM
fuelectenerg-4161	117	56	:	:	PUNCT
fuelectenerg-4161	117	57	compute	compute	NOUN
fuelectenerg-4161	117	58	(	(	PUNCT
fuelectenerg-4161	117	59	x2	x2	PROPN
fuelectenerg-4161	117	60	,	,	PUNCT
fuelectenerg-4161	117	61	y2	y2	NOUN
fuelectenerg-4161	117	62	)	)	PUNCT
fuelectenerg-4161	118	1	=	=	SYM
fuelectenerg-4161	118	2	u1	u1	NOUN
fuelectenerg-4161	118	3	g	g	PROPN
fuelectenerg-4161	118	4	+	+	CCONJ
fuelectenerg-4161	118	5	u2qa	u2qa	NOUN
fuelectenerg-4161	118	6	step	step	NOUN
fuelectenerg-4161	118	7	6	6	NUM
fuelectenerg-4161	118	8	:	:	PUNCT
fuelectenerg-4161	118	9	compute	compute	VERB
fuelectenerg-4161	118	10	v	v	NOUN
fuelectenerg-4161	118	11	=	=	SYM
fuelectenerg-4161	118	12	x2(mod	x2(mod	PROPN
fuelectenerg-4161	118	13	p	p	X
fuelectenerg-4161	118	14	)	)	PUNCT
fuelectenerg-4161	118	15	fpga	fpga	PROPN
fuelectenerg-4161	118	16	implementation	implementation	NOUN
fuelectenerg-4161	118	17	of	of	ADP
fuelectenerg-4161	118	18	modified	modify	VERB
fuelectenerg-4161	118	19	elliptic	elliptic	ADJ
fuelectenerg-4161	118	20	curve	curve	NOUN
fuelectenerg-4161	118	21	digital	digital	ADJ
fuelectenerg-4161	118	22	signature	signature	NOUN
fuelectenerg-4161	118	23	algorithm	algorithm	NOUN
fuelectenerg-4161	118	24	135	135	NUM
fuelectenerg-4161	118	25	4.4	4.4	NUM
fuelectenerg-4161	118	26	.	.	PUNCT
fuelectenerg-4161	119	1	proof	proof	NOUN
fuelectenerg-4161	119	2	of	of	ADP
fuelectenerg-4161	119	3	ecdsa	ecdsa	PROPN
fuelectenerg-4161	119	4	scheme	scheme	NOUN
fuelectenerg-4161	119	5	step	step	NOUN
fuelectenerg-4161	119	6	1	1	NUM
fuelectenerg-4161	119	7	:	:	PUNCT
fuelectenerg-4161	119	8	compute	compute	NOUN
fuelectenerg-4161	119	9	s	s	PART
fuelectenerg-4161	119	10	=	=	X
fuelectenerg-4161	119	11	k	k	X
fuelectenerg-4161	119	12	-1	-1	X
fuelectenerg-4161	119	13	(	(	PUNCT
fuelectenerg-4161	119	14	h	h	NOUN
fuelectenerg-4161	120	1	+	+	CCONJ
fuelectenerg-4161	120	2	da	da	PROPN
fuelectenerg-4161	120	3	r	r	NOUN
fuelectenerg-4161	120	4	)	)	PUNCT
fuelectenerg-4161	120	5	mod	mod	NOUN
fuelectenerg-4161	120	6	p	p	NOUN
fuelectenerg-4161	120	7	on	on	ADP
fuelectenerg-4161	120	8	rearranging	rearrange	VERB
fuelectenerg-4161	120	9	step	step	NOUN
fuelectenerg-4161	120	10	2	2	NUM
fuelectenerg-4161	120	11	:	:	PUNCT
fuelectenerg-4161	120	12	compute	compute	NOUN
fuelectenerg-4161	120	13	k	k	NOUN
fuelectenerg-4161	120	14	=	=	PUNCT
fuelectenerg-4161	120	15	s	s	PART
fuelectenerg-4161	120	16	-1	-1	PUNCT
fuelectenerg-4161	120	17	(	(	PUNCT
fuelectenerg-4161	120	18	h	h	NOUN
fuelectenerg-4161	121	1	+	+	CCONJ
fuelectenerg-4161	121	2	da	da	PROPN
fuelectenerg-4161	121	3	r	r	NOUN
fuelectenerg-4161	121	4	)	)	PUNCT
fuelectenerg-4161	121	5	step	step	NOUN
fuelectenerg-4161	121	6	3	3	NUM
fuelectenerg-4161	121	7	:	:	PUNCT
fuelectenerg-4161	121	8	compute	compute	NOUN
fuelectenerg-4161	122	1	kg	kg	NOUN
fuelectenerg-4161	123	1	=	=	SYM
fuelectenerg-4161	123	2	s	s	PART
fuelectenerg-4161	123	3	−1	−1	NOUN
fuelectenerg-4161	123	4	(	(	PUNCT
fuelectenerg-4161	123	5	h	h	NOUN
fuelectenerg-4161	124	1	+	+	CCONJ
fuelectenerg-4161	124	2	da	da	PROPN
fuelectenerg-4161	124	3	r	r	NOUN
fuelectenerg-4161	124	4	)	)	PUNCT
fuelectenerg-4161	124	5	g	g	NOUN
fuelectenerg-4161	124	6	=	=	SYM
fuelectenerg-4161	124	7	(	(	PUNCT
fuelectenerg-4161	124	8	x1	x1	PROPN
fuelectenerg-4161	124	9	,	,	PUNCT
fuelectenerg-4161	124	10	y1	y1	NOUN
fuelectenerg-4161	124	11	)	)	PUNCT
fuelectenerg-4161	124	12	step	step	NOUN
fuelectenerg-4161	124	13	4	4	NUM
fuelectenerg-4161	124	14	:	:	PUNCT
fuelectenerg-4161	124	15	compute	compute	NOUN
fuelectenerg-4161	125	1	kg	kg	NOUN
fuelectenerg-4161	126	1	=	=	SYM
fuelectenerg-4161	126	2	s	s	PART
fuelectenerg-4161	126	3	−1	−1	NOUN
fuelectenerg-4161	126	4	hg	hg	NOUN
fuelectenerg-4161	126	5	+	+	CCONJ
fuelectenerg-4161	126	6	s	s	NOUN
fuelectenerg-4161	126	7	−1	−1	NOUN
fuelectenerg-4161	126	8	da	da	NOUN
fuelectenerg-4161	126	9	r	r	NOUN
fuelectenerg-4161	126	10	g	g	NOUN
fuelectenerg-4161	126	11	step	step	NOUN
fuelectenerg-4161	126	12	5	5	NUM
fuelectenerg-4161	126	13	:	:	PUNCT
fuelectenerg-4161	126	14	compute	compute	NOUN
fuelectenerg-4161	126	15	kg	kg	NOUN
fuelectenerg-4161	127	1	=	=	PUNCT
fuelectenerg-4161	127	2	w	w	NOUN
fuelectenerg-4161	127	3	h	h	NOUN
fuelectenerg-4161	127	4	g	g	PROPN
fuelectenerg-4161	127	5	+	+	CCONJ
fuelectenerg-4161	127	6	r	r	NOUN
fuelectenerg-4161	127	7	w	w	NOUN
fuelectenerg-4161	127	8	qa	qa	NOUN
fuelectenerg-4161	127	9	where	where	SCONJ
fuelectenerg-4161	127	10	w	w	NOUN
fuelectenerg-4161	127	11	=	=	SYM
fuelectenerg-4161	127	12	s	s	PART
fuelectenerg-4161	127	13	−1	−1	NOUN
fuelectenerg-4161	127	14	(	(	PUNCT
fuelectenerg-4161	127	15	mod	mod	PROPN
fuelectenerg-4161	127	16	p	p	X
fuelectenerg-4161	127	17	)	)	PUNCT
fuelectenerg-4161	127	18	and	and	CCONJ
fuelectenerg-4161	127	19	qa	qa	X
fuelectenerg-4161	127	20	=	=	SYM
fuelectenerg-4161	127	21	da	da	PROPN
fuelectenerg-4161	127	22	g	g	PROPN
fuelectenerg-4161	127	23	(	(	PUNCT
fuelectenerg-4161	127	24	mod	mod	PROPN
fuelectenerg-4161	127	25	p	p	NOUN
fuelectenerg-4161	127	26	)	)	PUNCT
fuelectenerg-4161	127	27	step	step	NOUN
fuelectenerg-4161	127	28	6	6	NUM
fuelectenerg-4161	127	29	:	:	PUNCT
fuelectenerg-4161	127	30	compute	compute	NOUN
fuelectenerg-4161	127	31	kg	kg	NOUN
fuelectenerg-4161	127	32	=	=	NOUN
fuelectenerg-4161	127	33	u1	u1	NOUN
fuelectenerg-4161	127	34	g	g	NOUN
fuelectenerg-4161	127	35	+	+	CCONJ
fuelectenerg-4161	127	36	u2	u2	PROPN
fuelectenerg-4161	127	37	qs	qs	NOUN
fuelectenerg-4161	127	38	=	=	SYM
fuelectenerg-4161	127	39	(	(	PUNCT
fuelectenerg-4161	127	40	x2	x2	PROPN
fuelectenerg-4161	127	41	,	,	PUNCT
fuelectenerg-4161	127	42	y2	y2	PROPN
fuelectenerg-4161	127	43	)	)	PUNCT
fuelectenerg-4161	127	44	where	where	SCONJ
fuelectenerg-4161	127	45	u1	u1	NOUN
fuelectenerg-4161	127	46	=	=	SYM
fuelectenerg-4161	127	47	hw	hw	PROPN
fuelectenerg-4161	127	48	(	(	PUNCT
fuelectenerg-4161	127	49	mod	mod	PROPN
fuelectenerg-4161	127	50	p	p	X
fuelectenerg-4161	127	51	)	)	PUNCT
fuelectenerg-4161	127	52	and	and	CCONJ
fuelectenerg-4161	127	53	u2	u2	PROPN
fuelectenerg-4161	127	54	=	=	PUNCT
fuelectenerg-4161	127	55	rw	rw	PROPN
fuelectenerg-4161	127	56	(	(	PUNCT
fuelectenerg-4161	127	57	mod	mod	PROPN
fuelectenerg-4161	127	58	p	p	X
fuelectenerg-4161	127	59	)	)	PUNCT
fuelectenerg-4161	127	60	therefore	therefore	ADV
fuelectenerg-4161	127	61	lhs=	lhs=	PROPN
fuelectenerg-4161	127	62	kg=(x1	kg=(x1	PROPN
fuelectenerg-4161	127	63	,	,	PUNCT
fuelectenerg-4161	127	64	y1	y1	ADJ
fuelectenerg-4161	127	65	)	)	PUNCT
fuelectenerg-4161	127	66	and	and	CCONJ
fuelectenerg-4161	127	67	r	r	NOUN
fuelectenerg-4161	127	68	=	=	SYM
fuelectenerg-4161	127	69	x1	x1	PROPN
fuelectenerg-4161	127	70	(	(	PUNCT
fuelectenerg-4161	127	71	mod	mod	PROPN
fuelectenerg-4161	127	72	p	p	X
fuelectenerg-4161	127	73	)	)	PUNCT
fuelectenerg-4161	127	74	rhs	rhs	PROPN
fuelectenerg-4161	128	1	=	=	NOUN
fuelectenerg-4161	128	2	u1	u1	NOUN
fuelectenerg-4161	128	3	g	g	PROPN
fuelectenerg-4161	128	4	+	+	CCONJ
fuelectenerg-4161	128	5	u2qa	u2qa	PUNCT
fuelectenerg-4161	128	6	=	=	SYM
fuelectenerg-4161	128	7	(	(	PUNCT
fuelectenerg-4161	128	8	x2	x2	PROPN
fuelectenerg-4161	128	9	,	,	PUNCT
fuelectenerg-4161	128	10	y2	y2	PROPN
fuelectenerg-4161	128	11	)	)	PUNCT
fuelectenerg-4161	128	12	and	and	CCONJ
fuelectenerg-4161	128	13	v=	v=	VERB
fuelectenerg-4161	128	14	x2(mod	x2(mod	PROPN
fuelectenerg-4161	128	15	p	p	NOUN
fuelectenerg-4161	128	16	)	)	PUNCT
fuelectenerg-4161	128	17	hence	hence	ADV
fuelectenerg-4161	128	18	v	v	NOUN
fuelectenerg-4161	128	19	=	=	NOUN
fuelectenerg-4161	128	20	r	r	NOUN
fuelectenerg-4161	128	21	the	the	DET
fuelectenerg-4161	128	22	signature	signature	NOUN
fuelectenerg-4161	128	23	is	be	AUX
fuelectenerg-4161	128	24	valid	valid	ADJ
fuelectenerg-4161	128	25	if	if	SCONJ
fuelectenerg-4161	128	26	v	v	ADP
fuelectenerg-4161	128	27	=	=	SYM
fuelectenerg-4161	128	28	r	r	NOUN
fuelectenerg-4161	128	29	valid	valid	ADJ
fuelectenerg-4161	128	30	,	,	PUNCT
fuelectenerg-4161	128	31	invalid	invalid	ADJ
fuelectenerg-4161	128	32	otherwise	otherwise	ADV
fuelectenerg-4161	128	33	.	.	PUNCT
fuelectenerg-4161	129	1	in	in	ADP
fuelectenerg-4161	129	2	this	this	DET
fuelectenerg-4161	129	3	algorithm	algorithm	NOUN
fuelectenerg-4161	129	4	if	if	SCONJ
fuelectenerg-4161	129	5	the	the	DET
fuelectenerg-4161	129	6	same	same	ADJ
fuelectenerg-4161	129	7	key	key	NOUN
fuelectenerg-4161	129	8	k	k	PROPN
fuelectenerg-4161	129	9	is	be	AUX
fuelectenerg-4161	129	10	being	be	AUX
fuelectenerg-4161	129	11	used	use	VERB
fuelectenerg-4161	129	12	for	for	ADP
fuelectenerg-4161	129	13	signing	sign	VERB
fuelectenerg-4161	129	14	each	each	PRON
fuelectenerg-4161	129	15	and	and	CCONJ
fuelectenerg-4161	129	16	every	every	DET
fuelectenerg-4161	129	17	messages	message	NOUN
fuelectenerg-4161	129	18	,	,	PUNCT
fuelectenerg-4161	129	19	then	then	ADV
fuelectenerg-4161	129	20	there	there	PRON
fuelectenerg-4161	129	21	is	be	VERB
fuelectenerg-4161	129	22	an	an	DET
fuelectenerg-4161	129	23	issue	issue	NOUN
fuelectenerg-4161	129	24	of	of	ADP
fuelectenerg-4161	129	25	the	the	DET
fuelectenerg-4161	129	26	secret	secret	ADJ
fuelectenerg-4161	129	27	key	key	NOUN
fuelectenerg-4161	129	28	being	be	AUX
fuelectenerg-4161	129	29	found	find	VERB
fuelectenerg-4161	129	30	by	by	ADP
fuelectenerg-4161	129	31	the	the	DET
fuelectenerg-4161	129	32	intruder	intruder	NOUN
fuelectenerg-4161	129	33	.	.	PUNCT
fuelectenerg-4161	130	1	this	this	PRON
fuelectenerg-4161	130	2	is	be	AUX
fuelectenerg-4161	130	3	explained	explain	VERB
fuelectenerg-4161	130	4	in	in	ADP
fuelectenerg-4161	130	5	the	the	DET
fuelectenerg-4161	130	6	following	follow	VERB
fuelectenerg-4161	130	7	example	example	NOUN
fuelectenerg-4161	130	8	,	,	PUNCT
fuelectenerg-4161	130	9	where	where	SCONJ
fuelectenerg-4161	130	10	the	the	DET
fuelectenerg-4161	130	11	same	same	ADJ
fuelectenerg-4161	130	12	secret	secret	NOUN
fuelectenerg-4161	130	13	k	k	PROPN
fuelectenerg-4161	130	14	is	be	AUX
fuelectenerg-4161	130	15	applied	apply	VERB
fuelectenerg-4161	130	16	for	for	ADP
fuelectenerg-4161	130	17	two	two	NUM
fuelectenerg-4161	130	18	different	different	ADJ
fuelectenerg-4161	130	19	messages	message	NOUN
fuelectenerg-4161	130	20	m1	m1	PROPN
fuelectenerg-4161	130	21	and	and	CCONJ
fuelectenerg-4161	130	22	m2	m2	PROPN
fuelectenerg-4161	130	23	.	.	PUNCT
fuelectenerg-4161	131	1	in	in	ADP
fuelectenerg-4161	131	2	this	this	DET
fuelectenerg-4161	131	3	process	process	NOUN
fuelectenerg-4161	131	4	two	two	NUM
fuelectenerg-4161	131	5	signatures	signature	NOUN
fuelectenerg-4161	131	6	(	(	PUNCT
fuelectenerg-4161	131	7	r	r	NOUN
fuelectenerg-4161	131	8	,	,	PUNCT
fuelectenerg-4161	131	9	s1	s1	NOUN
fuelectenerg-4161	131	10	)	)	PUNCT
fuelectenerg-4161	131	11	and	and	CCONJ
fuelectenerg-4161	131	12	(	(	PUNCT
fuelectenerg-4161	131	13	r	r	NOUN
fuelectenerg-4161	131	14	,	,	PUNCT
fuelectenerg-4161	131	15	s2	s2	PROPN
fuelectenerg-4161	131	16	)	)	PUNCT
fuelectenerg-4161	131	17	are	be	AUX
fuelectenerg-4161	131	18	generated	generate	VERB
fuelectenerg-4161	131	19	from	from	ADP
fuelectenerg-4161	131	20	the	the	DET
fuelectenerg-4161	131	21	eq	eq	NOUN
fuelectenerg-4161	131	22	.	.	PUNCT
fuelectenerg-4161	132	1	(	(	PUNCT
fuelectenerg-4161	132	2	10	10	NUM
fuelectenerg-4161	132	3	)	)	PUNCT
fuelectenerg-4161	132	4	and	and	CCONJ
fuelectenerg-4161	132	5	eq	eq	NOUN
fuelectenerg-4161	132	6	.	.	PUNCT
fuelectenerg-4161	133	1	(	(	PUNCT
fuelectenerg-4161	133	2	11	11	NUM
fuelectenerg-4161	133	3	)	)	PUNCT
fuelectenerg-4161	133	4	as	as	ADP
fuelectenerg-4161	133	5	s1	s1	PROPN
fuelectenerg-4161	133	6	=	=	SYM
fuelectenerg-4161	133	7	k	k	PROPN
fuelectenerg-4161	133	8	−1	−1	NOUN
fuelectenerg-4161	133	9	(	(	PUNCT
fuelectenerg-4161	133	10	h1	h1	PROPN
fuelectenerg-4161	133	11	+	+	CCONJ
fuelectenerg-4161	133	12	da	da	PROPN
fuelectenerg-4161	133	13	r	r	NOUN
fuelectenerg-4161	133	14	)	)	PUNCT
fuelectenerg-4161	133	15	(	(	PUNCT
fuelectenerg-4161	133	16	10	10	NUM
fuelectenerg-4161	133	17	)	)	PUNCT
fuelectenerg-4161	133	18	s2	s2	NOUN
fuelectenerg-4161	133	19	=	=	PUNCT
fuelectenerg-4161	133	20	k	k	PROPN
fuelectenerg-4161	133	21	−1	−1	NOUN
fuelectenerg-4161	133	22	(	(	PUNCT
fuelectenerg-4161	133	23	h2	h2	NOUN
fuelectenerg-4161	133	24	+	+	CCONJ
fuelectenerg-4161	133	25	da	da	PROPN
fuelectenerg-4161	133	26	r	r	NOUN
fuelectenerg-4161	133	27	)	)	PUNCT
fuelectenerg-4161	133	28	(	(	PUNCT
fuelectenerg-4161	133	29	11	11	NUM
fuelectenerg-4161	133	30	)	)	PUNCT
fuelectenerg-4161	133	31	where	where	SCONJ
fuelectenerg-4161	133	32	h1	h1	PROPN
fuelectenerg-4161	133	33	=	=	SYM
fuelectenerg-4161	133	34	sha-3	sha-3	PART
fuelectenerg-4161	133	35	(	(	PUNCT
fuelectenerg-4161	133	36	m1	m1	PROPN
fuelectenerg-4161	133	37	)	)	PUNCT
fuelectenerg-4161	133	38	;	;	PUNCT
fuelectenerg-4161	133	39	h2	h2	NOUN
fuelectenerg-4161	133	40	=	=	PUNCT
fuelectenerg-4161	133	41	sha-3	sha-3	PUNCT
fuelectenerg-4161	133	42	(	(	PUNCT
fuelectenerg-4161	133	43	m2	m2	PROPN
fuelectenerg-4161	133	44	)	)	PUNCT
fuelectenerg-4161	133	45	knowing	know	VERB
fuelectenerg-4161	133	46	s1	s1	NOUN
fuelectenerg-4161	133	47	and	and	CCONJ
fuelectenerg-4161	133	48	s2	s2	NOUN
fuelectenerg-4161	133	49	it	it	PRON
fuelectenerg-4161	133	50	is	be	AUX
fuelectenerg-4161	133	51	possible	possible	ADJ
fuelectenerg-4161	133	52	to	to	PART
fuelectenerg-4161	133	53	find	find	VERB
fuelectenerg-4161	133	54	the	the	DET
fuelectenerg-4161	133	55	secret	secret	ADJ
fuelectenerg-4161	133	56	key	key	NOUN
fuelectenerg-4161	133	57	k	k	NOUN
fuelectenerg-4161	133	58	using	use	VERB
fuelectenerg-4161	133	59	the	the	DET
fuelectenerg-4161	133	60	eq	eq	NOUN
fuelectenerg-4161	133	61	.	.	PUNCT
fuelectenerg-4161	134	1	(	(	PUNCT
fuelectenerg-4161	134	2	12	12	NUM
fuelectenerg-4161	134	3	)	)	PUNCT
fuelectenerg-4161	134	4	k	k	NOUN
fuelectenerg-4161	135	1	=	=	PUNCT
fuelectenerg-4161	135	2	(	(	PUNCT
fuelectenerg-4161	135	3	h1	h1	PROPN
fuelectenerg-4161	135	4	–	–	PUNCT
fuelectenerg-4161	135	5	h2)/(s1	h2)/(s1	PROPN
fuelectenerg-4161	135	6	–	–	PUNCT
fuelectenerg-4161	135	7	s2	s2	PROPN
fuelectenerg-4161	135	8	)	)	PUNCT
fuelectenerg-4161	135	9	(	(	PUNCT
fuelectenerg-4161	135	10	12	12	NUM
fuelectenerg-4161	135	11	)	)	PUNCT
fuelectenerg-4161	135	12	from	from	ADP
fuelectenerg-4161	135	13	the	the	DET
fuelectenerg-4161	135	14	equation	equation	NOUN
fuelectenerg-4161	135	15	k	k	PROPN
fuelectenerg-4161	135	16	s1	s1	PROPN
fuelectenerg-4161	135	17			PROPN
fuelectenerg-4161	135	18	k	k	PROPN
fuelectenerg-4161	135	19	s2	s2	PROPN
fuelectenerg-4161	135	20	=	=	PUNCT
fuelectenerg-4161	135	21	h1	h1	PROPN
fuelectenerg-4161	135	22	+	+	CCONJ
fuelectenerg-4161	135	23	da	da	NOUN
fuelectenerg-4161	135	24	r	r	NOUN
fuelectenerg-4161	135	25			NOUN
fuelectenerg-4161	135	26	h2	h2	NOUN
fuelectenerg-4161	135	27	–	–	PUNCT
fuelectenerg-4161	135	28	da	da	NOUN
fuelectenerg-4161	135	29	r	r	NOUN
fuelectenerg-4161	135	30	thus	thus	ADV
fuelectenerg-4161	135	31	knowing	know	VERB
fuelectenerg-4161	135	32	k	k	PROPN
fuelectenerg-4161	135	33	,	,	PUNCT
fuelectenerg-4161	135	34	r	r	NOUN
fuelectenerg-4161	135	35	,	,	PUNCT
fuelectenerg-4161	135	36	s	s	PART
fuelectenerg-4161	135	37	and	and	CCONJ
fuelectenerg-4161	135	38	h	h	NOUN
fuelectenerg-4161	135	39	in	in	ADP
fuelectenerg-4161	135	40	the	the	DET
fuelectenerg-4161	135	41	encryption	encryption	NOUN
fuelectenerg-4161	135	42	concept	concept	NOUN
fuelectenerg-4161	135	43	,	,	PUNCT
fuelectenerg-4161	135	44	it	it	PRON
fuelectenerg-4161	135	45	is	be	AUX
fuelectenerg-4161	135	46	possible	possible	ADJ
fuelectenerg-4161	135	47	to	to	PART
fuelectenerg-4161	135	48	find	find	VERB
fuelectenerg-4161	135	49	da	da	NOUN
fuelectenerg-4161	135	50	by	by	ADP
fuelectenerg-4161	135	51	eq	eq	NOUN
fuelectenerg-4161	135	52	.	.	PUNCT
fuelectenerg-4161	136	1	(	(	PUNCT
fuelectenerg-4161	136	2	13	13	NUM
fuelectenerg-4161	136	3	)	)	PUNCT
fuelectenerg-4161	136	4	da	da	NOUN
fuelectenerg-4161	136	5	=	=	PUNCT
fuelectenerg-4161	137	1	(	(	PUNCT
fuelectenerg-4161	137	2	ksh)/r	ksh)/r	X
fuelectenerg-4161	137	3	(	(	PUNCT
fuelectenerg-4161	137	4	13	13	NUM
fuelectenerg-4161	137	5	)	)	PUNCT
fuelectenerg-4161	137	6	hence	hence	ADV
fuelectenerg-4161	137	7	different	different	ADJ
fuelectenerg-4161	137	8	key	key	NOUN
fuelectenerg-4161	137	9	should	should	AUX
fuelectenerg-4161	137	10	be	be	AUX
fuelectenerg-4161	137	11	used	use	VERB
fuelectenerg-4161	137	12	for	for	ADP
fuelectenerg-4161	137	13	signing	sign	VERB
fuelectenerg-4161	137	14	different	different	ADJ
fuelectenerg-4161	137	15	messages	message	NOUN
fuelectenerg-4161	137	16	,	,	PUNCT
fuelectenerg-4161	137	17	otherwise	otherwise	ADV
fuelectenerg-4161	137	18	the	the	DET
fuelectenerg-4161	137	19	private	private	ADJ
fuelectenerg-4161	137	20	key	key	NOUN
fuelectenerg-4161	137	21	da	da	NOUN
fuelectenerg-4161	137	22	can	can	AUX
fuelectenerg-4161	137	23	be	be	AUX
fuelectenerg-4161	137	24	sensed	sense	VERB
fuelectenerg-4161	137	25	by	by	ADP
fuelectenerg-4161	137	26	the	the	DET
fuelectenerg-4161	137	27	intruder	intruder	NOUN
fuelectenerg-4161	137	28	.	.	PUNCT
fuelectenerg-4161	138	1	the	the	DET
fuelectenerg-4161	138	2	ecdsa	ecdsa	PROPN
fuelectenerg-4161	138	3	is	be	AUX
fuelectenerg-4161	138	4	modified	modify	VERB
fuelectenerg-4161	138	5	to	to	PART
fuelectenerg-4161	138	6	solve	solve	VERB
fuelectenerg-4161	138	7	the	the	DET
fuelectenerg-4161	138	8	above	above	ADJ
fuelectenerg-4161	138	9	problem	problem	NOUN
fuelectenerg-4161	138	10	by	by	ADP
fuelectenerg-4161	138	11	considering	consider	VERB
fuelectenerg-4161	138	12	inverse	inverse	ADJ
fuelectenerg-4161	138	13	operation	operation	NOUN
fuelectenerg-4161	138	14	only	only	ADV
fuelectenerg-4161	138	15	in	in	ADP
fuelectenerg-4161	138	16	verification	verification	NOUN
fuelectenerg-4161	138	17	phase	phase	NOUN
fuelectenerg-4161	138	18	.	.	PUNCT
fuelectenerg-4161	139	1	in	in	ADP
fuelectenerg-4161	139	2	this	this	DET
fuelectenerg-4161	139	3	method	method	NOUN
fuelectenerg-4161	139	4	there	there	PRON
fuelectenerg-4161	139	5	is	be	VERB
fuelectenerg-4161	139	6	no	no	DET
fuelectenerg-4161	139	7	need	need	NOUN
fuelectenerg-4161	139	8	of	of	ADP
fuelectenerg-4161	139	9	inverse	inverse	ADJ
fuelectenerg-4161	139	10	operation	operation	NOUN
fuelectenerg-4161	139	11	in	in	ADP
fuelectenerg-4161	139	12	the	the	DET
fuelectenerg-4161	139	13	key	key	ADJ
fuelectenerg-4161	139	14	generation	generation	NOUN
fuelectenerg-4161	139	15	and	and	CCONJ
fuelectenerg-4161	139	16	signing	signing	NOUN
fuelectenerg-4161	139	17	phase	phase	NOUN
fuelectenerg-4161	139	18	there	there	PRON
fuelectenerg-4161	139	19	is	be	VERB
fuelectenerg-4161	139	20	no	no	DET
fuelectenerg-4161	139	21	need	need	NOUN
fuelectenerg-4161	139	22	of	of	ADP
fuelectenerg-4161	139	23	inverse	inverse	NOUN
fuelectenerg-4161	139	24	operation	operation	NOUN
fuelectenerg-4161	139	25	.	.	PUNCT
fuelectenerg-4161	140	1	the	the	DET
fuelectenerg-4161	140	2	scheme	scheme	NOUN
fuelectenerg-4161	140	3	processes	process	NOUN
fuelectenerg-4161	140	4	are	be	AUX
fuelectenerg-4161	140	5	discussed	discuss	VERB
fuelectenerg-4161	140	6	in	in	ADP
fuelectenerg-4161	140	7	the	the	DET
fuelectenerg-4161	140	8	following	follow	VERB
fuelectenerg-4161	140	9	sub	sub	NOUN
fuelectenerg-4161	140	10	-	-	NOUN
fuelectenerg-4161	140	11	sections	section	NOUN
fuelectenerg-4161	140	12	having	have	VERB
fuelectenerg-4161	140	13	the	the	DET
fuelectenerg-4161	140	14	same	same	ADJ
fuelectenerg-4161	140	15	key	key	ADJ
fuelectenerg-4161	140	16	pair	pair	NOUN
fuelectenerg-4161	140	17	generation	generation	NOUN
fuelectenerg-4161	140	18	algorithm	algorithm	NOUN
fuelectenerg-4161	140	19	.	.	PUNCT
fuelectenerg-4161	141	1	4.5	4.5	NUM
fuelectenerg-4161	141	2	.	.	PUNCT
fuelectenerg-4161	142	1	ecdsa	ecdsa	PROPN
fuelectenerg-4161	142	2	scheme	scheme	NOUN
fuelectenerg-4161	142	3	2	2	NUM
fuelectenerg-4161	142	4	signature	signature	NOUN
fuelectenerg-4161	142	5	generation	generation	NOUN
fuelectenerg-4161	142	6	using	use	VERB
fuelectenerg-4161	142	7	the	the	DET
fuelectenerg-4161	142	8	sender‟s	sender‟s	NOUN
fuelectenerg-4161	142	9	private	private	ADJ
fuelectenerg-4161	142	10	key	key	ADJ
fuelectenerg-4161	142	11	da	da	NOUN
fuelectenerg-4161	142	12	and	and	CCONJ
fuelectenerg-4161	142	13	public	public	ADJ
fuelectenerg-4161	142	14	key	key	ADJ
fuelectenerg-4161	142	15	qa	qa	PROPN
fuelectenerg-4161	142	16	step	step	NOUN
fuelectenerg-4161	142	17	1	1	NUM
fuelectenerg-4161	142	18	:	:	PUNCT
fuelectenerg-4161	142	19	compute	compute	NOUN
fuelectenerg-4161	142	20	h	h	NOUN
fuelectenerg-4161	143	1	=	=	PUNCT
fuelectenerg-4161	143	2	hash	hash	NOUN
fuelectenerg-4161	143	3	(	(	PUNCT
fuelectenerg-4161	143	4	m	m	NOUN
fuelectenerg-4161	143	5	)	)	PUNCT
fuelectenerg-4161	143	6	=	=	PRON
fuelectenerg-4161	143	7	sha-3	sha-3	NUM
fuelectenerg-4161	143	8	(	(	PUNCT
fuelectenerg-4161	143	9	m	m	NOUN
fuelectenerg-4161	143	10	)	)	PUNCT
fuelectenerg-4161	143	11	step	step	NOUN
fuelectenerg-4161	143	12	2	2	NUM
fuelectenerg-4161	143	13	:	:	PUNCT
fuelectenerg-4161	143	14	select	select	VERB
fuelectenerg-4161	143	15	a	a	DET
fuelectenerg-4161	143	16	random	random	ADJ
fuelectenerg-4161	143	17	integer	integer	NOUN
fuelectenerg-4161	143	18	k	k	NOUN
fuelectenerg-4161	143	19	from	from	ADP
fuelectenerg-4161	143	20	[	[	X
fuelectenerg-4161	143	21	1	1	NUM
fuelectenerg-4161	143	22	,	,	PUNCT
fuelectenerg-4161	143	23	p	p	NOUN
fuelectenerg-4161	143	24	−	−	PROPN
fuelectenerg-4161	143	25	1	1	NUM
fuelectenerg-4161	143	26	]	]	PUNCT
fuelectenerg-4161	143	27	step	step	NOUN
fuelectenerg-4161	143	28	3	3	NUM
fuelectenerg-4161	143	29	:	:	PUNCT
fuelectenerg-4161	143	30	compute	compute	NOUN
fuelectenerg-4161	143	31	kg=	kg=	PROPN
fuelectenerg-4161	143	32	(	(	PUNCT
fuelectenerg-4161	143	33	x1	x1	PROPN
fuelectenerg-4161	143	34	,	,	PUNCT
fuelectenerg-4161	143	35	y1	y1	NOUN
fuelectenerg-4161	143	36	)	)	PUNCT
fuelectenerg-4161	143	37	step	step	NOUN
fuelectenerg-4161	143	38	4	4	NUM
fuelectenerg-4161	143	39	:	:	PUNCT
fuelectenerg-4161	143	40	compute	compute	NOUN
fuelectenerg-4161	143	41	r	r	NOUN
fuelectenerg-4161	143	42	=	=	SYM
fuelectenerg-4161	143	43	x1	x1	PROPN
fuelectenerg-4161	143	44	(	(	PUNCT
fuelectenerg-4161	143	45	mod	mod	PROPN
fuelectenerg-4161	143	46	p	p	PROPN
fuelectenerg-4161	143	47	)	)	PUNCT
fuelectenerg-4161	143	48	,	,	PUNCT
fuelectenerg-4161	143	49	if	if	SCONJ
fuelectenerg-4161	143	50	r	r	NOUN
fuelectenerg-4161	143	51	=	=	SYM
fuelectenerg-4161	143	52	0	0	NUM
fuelectenerg-4161	143	53	,	,	PUNCT
fuelectenerg-4161	143	54	go	go	VERB
fuelectenerg-4161	143	55	to	to	PART
fuelectenerg-4161	143	56	step	step	VERB
fuelectenerg-4161	143	57	2	2	NUM
fuelectenerg-4161	143	58	step	step	NOUN
fuelectenerg-4161	143	59	5	5	NUM
fuelectenerg-4161	143	60	:	:	PUNCT
fuelectenerg-4161	143	61	compute	compute	NOUN
fuelectenerg-4161	143	62	s	s	PART
fuelectenerg-4161	143	63	=	=	PUNCT
fuelectenerg-4161	143	64	(	(	PUNCT
fuelectenerg-4161	143	65	kh	kh	PROPN
fuelectenerg-4161	143	66	+	+	X
fuelectenerg-4161	143	67	(	(	PUNCT
fuelectenerg-4161	143	68	r	r	PROPN
fuelectenerg-4161	143	69	xor	xor	PROPN
fuelectenerg-4161	143	70	h)da	h)da	PROPN
fuelectenerg-4161	143	71	)	)	PUNCT
fuelectenerg-4161	143	72	g	g	NOUN
fuelectenerg-4161	143	73	(	(	PUNCT
fuelectenerg-4161	143	74	mod	mod	PROPN
fuelectenerg-4161	143	75	p	p	NOUN
fuelectenerg-4161	143	76	)	)	PUNCT
fuelectenerg-4161	143	77	.	.	PUNCT
fuelectenerg-4161	144	1	if	if	SCONJ
fuelectenerg-4161	144	2	s	s	NOUN
fuelectenerg-4161	144	3	=	=	NOUN
fuelectenerg-4161	144	4	0	0	NUM
fuelectenerg-4161	144	5	,	,	PUNCT
fuelectenerg-4161	144	6	go	go	VERB
fuelectenerg-4161	144	7	to	to	PART
fuelectenerg-4161	144	8	step	step	VERB
fuelectenerg-4161	144	9	2	2	NUM
fuelectenerg-4161	144	10	the	the	DET
fuelectenerg-4161	144	11	signature	signature	NOUN
fuelectenerg-4161	144	12	pair	pair	NOUN
fuelectenerg-4161	144	13	generated	generate	VERB
fuelectenerg-4161	144	14	is	be	AUX
fuelectenerg-4161	144	15	(	(	PUNCT
fuelectenerg-4161	144	16	r	r	NOUN
fuelectenerg-4161	144	17	,	,	PUNCT
fuelectenerg-4161	144	18	s	s	NOUN
fuelectenerg-4161	144	19	)	)	PUNCT
fuelectenerg-4161	144	20	136	136	NUM
fuelectenerg-4161	144	21	v.	v.	ADP
fuelectenerg-4161	144	22	kamalakannan	kamalakannan	PROPN
fuelectenerg-4161	144	23	,	,	PUNCT
fuelectenerg-4161	144	24	s.	s.	PROPN
fuelectenerg-4161	144	25	tamilselvan	tamilselvan	VERB
fuelectenerg-4161	144	26	4.6	4.6	NUM
fuelectenerg-4161	144	27	.	.	PUNCT
fuelectenerg-4161	145	1	ecdsa	ecdsa	PROPN
fuelectenerg-4161	145	2	scheme	scheme	NOUN
fuelectenerg-4161	145	3	2	2	NUM
fuelectenerg-4161	145	4	signature	signature	NOUN
fuelectenerg-4161	145	5	verification	verification	NOUN
fuelectenerg-4161	145	6	using	use	VERB
fuelectenerg-4161	145	7	the	the	DET
fuelectenerg-4161	145	8	sender‟s	sender‟s	NOUN
fuelectenerg-4161	145	9	private	private	ADJ
fuelectenerg-4161	145	10	key	key	ADJ
fuelectenerg-4161	145	11	da	da	NOUN
fuelectenerg-4161	145	12	and	and	CCONJ
fuelectenerg-4161	145	13	public	public	ADJ
fuelectenerg-4161	145	14	key	key	ADJ
fuelectenerg-4161	145	15	qa	qa	PROPN
fuelectenerg-4161	145	16	using	use	VERB
fuelectenerg-4161	145	17	public	public	ADJ
fuelectenerg-4161	145	18	key	key	ADJ
fuelectenerg-4161	145	19	qa	qa	PROPN
fuelectenerg-4161	145	20	and	and	CCONJ
fuelectenerg-4161	145	21	sender‟s	sender‟s	NOUN
fuelectenerg-4161	145	22	signature	signature	NOUN
fuelectenerg-4161	145	23	(	(	PUNCT
fuelectenerg-4161	145	24	r	r	NOUN
fuelectenerg-4161	145	25	,	,	PUNCT
fuelectenerg-4161	145	26	s	s	NOUN
fuelectenerg-4161	145	27	)	)	PUNCT
fuelectenerg-4161	145	28	step	step	NOUN
fuelectenerg-4161	145	29	1	1	NUM
fuelectenerg-4161	145	30	:	:	PUNCT
fuelectenerg-4161	145	31	verify	verify	VERB
fuelectenerg-4161	145	32	that	that	SCONJ
fuelectenerg-4161	145	33	r	r	NOUN
fuelectenerg-4161	145	34	and	and	CCONJ
fuelectenerg-4161	145	35	s	s	NOUN
fuelectenerg-4161	145	36	are	be	AUX
fuelectenerg-4161	145	37	integers	integer	NOUN
fuelectenerg-4161	145	38	in	in	ADP
fuelectenerg-4161	145	39	[	[	X
fuelectenerg-4161	145	40	1	1	NUM
fuelectenerg-4161	145	41	,	,	PUNCT
fuelectenerg-4161	145	42	p	p	NOUN
fuelectenerg-4161	145	43	−	−	PROPN
fuelectenerg-4161	145	44	1	1	NUM
fuelectenerg-4161	145	45	]	]	PUNCT
fuelectenerg-4161	145	46	.	.	PUNCT
fuelectenerg-4161	146	1	if	if	SCONJ
fuelectenerg-4161	146	2	not	not	PART
fuelectenerg-4161	146	3	,	,	PUNCT
fuelectenerg-4161	146	4	the	the	DET
fuelectenerg-4161	146	5	signature	signature	NOUN
fuelectenerg-4161	146	6	is	be	AUX
fuelectenerg-4161	146	7	invalid	invalid	ADJ
fuelectenerg-4161	146	8	step	step	NOUN
fuelectenerg-4161	146	9	2	2	NUM
fuelectenerg-4161	146	10	:	:	PUNCT
fuelectenerg-4161	146	11	compute	compute	NOUN
fuelectenerg-4161	146	12	h	h	NOUN
fuelectenerg-4161	146	13	=	=	PUNCT
fuelectenerg-4161	146	14	hash	hash	NOUN
fuelectenerg-4161	146	15	(	(	PUNCT
fuelectenerg-4161	146	16	m	m	NOUN
fuelectenerg-4161	146	17	)	)	PUNCT
fuelectenerg-4161	146	18	=	=	PRON
fuelectenerg-4161	146	19	sha-3	sha-3	NUM
fuelectenerg-4161	146	20	(	(	PUNCT
fuelectenerg-4161	146	21	m	m	NOUN
fuelectenerg-4161	146	22	)	)	PUNCT
fuelectenerg-4161	146	23	step	step	NOUN
fuelectenerg-4161	146	24	3	3	NUM
fuelectenerg-4161	146	25	:	:	PUNCT
fuelectenerg-4161	146	26	compute	compute	NOUN
fuelectenerg-4161	146	27	w	w	NOUN
fuelectenerg-4161	146	28	=	=	NOUN
fuelectenerg-4161	146	29	h	h	NOUN
fuelectenerg-4161	146	30	−1	−1	NOUN
fuelectenerg-4161	146	31	(	(	PUNCT
fuelectenerg-4161	146	32	mod	mod	PROPN
fuelectenerg-4161	146	33	p	p	NOUN
fuelectenerg-4161	146	34	)	)	PUNCT
fuelectenerg-4161	146	35	step	step	NOUN
fuelectenerg-4161	146	36	4	4	NUM
fuelectenerg-4161	146	37	:	:	PUNCT
fuelectenerg-4161	146	38	compute	compute	NOUN
fuelectenerg-4161	146	39	u	u	NOUN
fuelectenerg-4161	146	40	=	=	PUNCT
fuelectenerg-4161	146	41	(	(	PUNCT
fuelectenerg-4161	146	42	r	r	NOUN
fuelectenerg-4161	146	43	xor	xor	PROPN
fuelectenerg-4161	146	44	h	h	NOUN
fuelectenerg-4161	146	45	)	)	PUNCT
fuelectenerg-4161	146	46	(	(	PUNCT
fuelectenerg-4161	146	47	mod	mod	PROPN
fuelectenerg-4161	146	48	p	p	NOUN
fuelectenerg-4161	146	49	)	)	PUNCT
fuelectenerg-4161	146	50	step	step	NOUN
fuelectenerg-4161	146	51	5	5	NUM
fuelectenerg-4161	146	52	:	:	PUNCT
fuelectenerg-4161	146	53	compute	compute	NOUN
fuelectenerg-4161	146	54	(	(	PUNCT
fuelectenerg-4161	146	55	x2	x2	PROPN
fuelectenerg-4161	146	56	,	,	PUNCT
fuelectenerg-4161	146	57	y2	y2	NOUN
fuelectenerg-4161	146	58	)	)	PUNCT
fuelectenerg-4161	146	59	=	=	SYM
fuelectenerg-4161	146	60	w(s	w(s	PROPN
fuelectenerg-4161	146	61	–	–	PUNCT
fuelectenerg-4161	146	62	uqa	uqa	PROPN
fuelectenerg-4161	146	63	)	)	PUNCT
fuelectenerg-4161	146	64	step	step	NOUN
fuelectenerg-4161	146	65	6	6	NUM
fuelectenerg-4161	146	66	:	:	PUNCT
fuelectenerg-4161	146	67	the	the	DET
fuelectenerg-4161	146	68	signature	signature	NOUN
fuelectenerg-4161	146	69	is	be	AUX
fuelectenerg-4161	146	70	valid	valid	ADJ
fuelectenerg-4161	146	71	if	if	SCONJ
fuelectenerg-4161	146	72	v	v	ADP
fuelectenerg-4161	146	73	=	=	SYM
fuelectenerg-4161	146	74	x2	x2	PROPN
fuelectenerg-4161	146	75	(	(	PUNCT
fuelectenerg-4161	146	76	mod	mod	NOUN
fuelectenerg-4161	146	77	n	n	CCONJ
fuelectenerg-4161	146	78	)	)	PUNCT
fuelectenerg-4161	147	1	=	=	SYM
fuelectenerg-4161	147	2	r	r	NOUN
fuelectenerg-4161	147	3	,	,	PUNCT
fuelectenerg-4161	147	4	invalid	invalid	ADJ
fuelectenerg-4161	147	5	otherwise	otherwise	ADV
fuelectenerg-4161	147	6	4.7	4.7	NUM
fuelectenerg-4161	147	7	.	.	PUNCT
fuelectenerg-4161	148	1	proof	proof	NOUN
fuelectenerg-4161	148	2	of	of	ADP
fuelectenerg-4161	148	3	ecdsa	ecdsa	PROPN
fuelectenerg-4161	148	4	scheme	scheme	NOUN
fuelectenerg-4161	148	5	2	2	NUM
fuelectenerg-4161	148	6	step	step	NOUN
fuelectenerg-4161	148	7	1	1	NUM
fuelectenerg-4161	148	8	:	:	PUNCT
fuelectenerg-4161	148	9	compute	compute	NOUN
fuelectenerg-4161	148	10	s	s	PART
fuelectenerg-4161	148	11	=	=	PUNCT
fuelectenerg-4161	148	12	(	(	PUNCT
fuelectenerg-4161	148	13	kh	kh	PROPN
fuelectenerg-4161	148	14	+	+	X
fuelectenerg-4161	148	15	(	(	PUNCT
fuelectenerg-4161	148	16	r	r	PROPN
fuelectenerg-4161	148	17	xor	xor	PROPN
fuelectenerg-4161	148	18	h)da	h)da	PROPN
fuelectenerg-4161	148	19	)	)	PUNCT
fuelectenerg-4161	148	20	g	g	NOUN
fuelectenerg-4161	148	21	=	=	SYM
fuelectenerg-4161	148	22	(	(	PUNCT
fuelectenerg-4161	148	23	kh	kh	PROPN
fuelectenerg-4161	148	24	+	+	CCONJ
fuelectenerg-4161	148	25	u	u	NOUN
fuelectenerg-4161	148	26	da	da	ADJ
fuelectenerg-4161	148	27	)	)	PUNCT
fuelectenerg-4161	148	28	g	g	NOUN
fuelectenerg-4161	148	29	=	=	PUNCT
fuelectenerg-4161	148	30	khg	khg	PROPN
fuelectenerg-4161	148	31	+	+	CCONJ
fuelectenerg-4161	148	32	udag	udag	ADJ
fuelectenerg-4161	148	33	step	step	NOUN
fuelectenerg-4161	148	34	2	2	NUM
fuelectenerg-4161	148	35	:	:	PUNCT
fuelectenerg-4161	148	36	compute	compute	NOUN
fuelectenerg-4161	148	37	sw	sw	NOUN
fuelectenerg-4161	148	38	=	=	PUNCT
fuelectenerg-4161	148	39	khwg	khwg	NOUN
fuelectenerg-4161	148	40	+	+	CCONJ
fuelectenerg-4161	148	41	uwdag	uwdag	ADJ
fuelectenerg-4161	148	42	step	step	NOUN
fuelectenerg-4161	148	43	3	3	NUM
fuelectenerg-4161	148	44	:	:	PUNCT
fuelectenerg-4161	148	45	compute	compute	NOUN
fuelectenerg-4161	149	1	sw	sw	PROPN
fuelectenerg-4161	150	1	=	=	PUNCT
fuelectenerg-4161	151	1	kg	kg	PROPN
fuelectenerg-4161	152	1	+	+	CCONJ
fuelectenerg-4161	152	2	uwqa	uwqa	NOUN
fuelectenerg-4161	152	3	where	where	SCONJ
fuelectenerg-4161	152	4	w	w	NOUN
fuelectenerg-4161	152	5	=	=	NOUN
fuelectenerg-4161	152	6	h	h	NOUN
fuelectenerg-4161	152	7	-1	-1	NOUN
fuelectenerg-4161	152	8	(	(	PUNCT
fuelectenerg-4161	152	9	mod	mod	PROPN
fuelectenerg-4161	152	10	p	p	X
fuelectenerg-4161	152	11	)	)	PUNCT
fuelectenerg-4161	152	12	and	and	CCONJ
fuelectenerg-4161	152	13	qa	qa	X
fuelectenerg-4161	152	14	=	=	SYM
fuelectenerg-4161	152	15	da	da	PROPN
fuelectenerg-4161	152	16	g	g	PROPN
fuelectenerg-4161	152	17	(	(	PUNCT
fuelectenerg-4161	152	18	mod	mod	PROPN
fuelectenerg-4161	152	19	p	p	NOUN
fuelectenerg-4161	152	20	)	)	PUNCT
fuelectenerg-4161	152	21	step	step	NOUN
fuelectenerg-4161	152	22	4	4	NUM
fuelectenerg-4161	152	23	:	:	PUNCT
fuelectenerg-4161	152	24	compute	compute	NOUN
fuelectenerg-4161	152	25	kg	kg	NOUN
fuelectenerg-4161	153	1	=	=	PUNCT
fuelectenerg-4161	153	2	swuwqa	swuwqa	PROPN
fuelectenerg-4161	153	3	=	=	PUNCT
fuelectenerg-4161	153	4	w	w	PROPN
fuelectenerg-4161	153	5	(	(	PUNCT
fuelectenerg-4161	153	6	s	s	X
fuelectenerg-4161	153	7	–	–	PUNCT
fuelectenerg-4161	153	8	u	u	NOUN
fuelectenerg-4161	153	9	qs	qs	NOUN
fuelectenerg-4161	153	10	)	)	PUNCT
fuelectenerg-4161	153	11	therefore	therefore	ADV
fuelectenerg-4161	153	12	lhs=	lhs=	PROPN
fuelectenerg-4161	153	13	kg=(x1	kg=(x1	PROPN
fuelectenerg-4161	153	14	,	,	PUNCT
fuelectenerg-4161	153	15	y1	y1	ADJ
fuelectenerg-4161	153	16	)	)	PUNCT
fuelectenerg-4161	153	17	and	and	CCONJ
fuelectenerg-4161	153	18	r	r	NOUN
fuelectenerg-4161	153	19	=	=	SYM
fuelectenerg-4161	153	20	x1	x1	PROPN
fuelectenerg-4161	153	21	(	(	PUNCT
fuelectenerg-4161	153	22	mod	mod	PROPN
fuelectenerg-4161	153	23	p	p	ADJ
fuelectenerg-4161	153	24	)	)	PUNCT
fuelectenerg-4161	153	25	rhs=	rhs=	PROPN
fuelectenerg-4161	153	26	w(s	w(s	PROPN
fuelectenerg-4161	153	27	–	–	PUNCT
fuelectenerg-4161	153	28	u	u	NOUN
fuelectenerg-4161	153	29	qa	qa	PROPN
fuelectenerg-4161	153	30	)	)	PUNCT
fuelectenerg-4161	153	31	=	=	PRON
fuelectenerg-4161	154	1	(	(	PUNCT
fuelectenerg-4161	154	2	x2	x2	PROPN
fuelectenerg-4161	154	3	,	,	PUNCT
fuelectenerg-4161	154	4	y2	y2	PROPN
fuelectenerg-4161	154	5	)	)	PUNCT
fuelectenerg-4161	155	1	and	and	CCONJ
fuelectenerg-4161	155	2	v=	v=	VERB
fuelectenerg-4161	155	3	x2(mod	x2(mod	PROPN
fuelectenerg-4161	155	4	p	p	NOUN
fuelectenerg-4161	155	5	)	)	PUNCT
fuelectenerg-4161	155	6	hence	hence	ADV
fuelectenerg-4161	155	7	v	v	NOUN
fuelectenerg-4161	155	8	=	=	NOUN
fuelectenerg-4161	155	9	r	r	NOUN
fuelectenerg-4161	155	10	in	in	ADP
fuelectenerg-4161	155	11	the	the	DET
fuelectenerg-4161	155	12	ecdsa	ecdsa	PROPN
fuelectenerg-4161	155	13	scheme	scheme	NOUN
fuelectenerg-4161	155	14	2	2	NUM
fuelectenerg-4161	155	15	,	,	PUNCT
fuelectenerg-4161	155	16	an	an	DET
fuelectenerg-4161	155	17	intruder	intruder	NOUN
fuelectenerg-4161	155	18	can	can	AUX
fuelectenerg-4161	155	19	forge	forge	VERB
fuelectenerg-4161	155	20	the	the	DET
fuelectenerg-4161	155	21	signature	signature	NOUN
fuelectenerg-4161	155	22	by	by	ADP
fuelectenerg-4161	155	23	knowing	know	VERB
fuelectenerg-4161	155	24	the	the	DET
fuelectenerg-4161	155	25	public	public	ADJ
fuelectenerg-4161	155	26	parameters	parameter	NOUN
fuelectenerg-4161	155	27	(	(	PUNCT
fuelectenerg-4161	155	28	g	g	NOUN
fuelectenerg-4161	155	29	,	,	PUNCT
fuelectenerg-4161	155	30	n	n	CCONJ
fuelectenerg-4161	155	31	,	,	PUNCT
fuelectenerg-4161	155	32	p	p	X
fuelectenerg-4161	155	33	,	,	PUNCT
fuelectenerg-4161	155	34	qs	qs	ADJ
fuelectenerg-4161	155	35	)	)	PUNCT
fuelectenerg-4161	155	36	and	and	CCONJ
fuelectenerg-4161	155	37	transmit	transmit	VERB
fuelectenerg-4161	155	38	the	the	DET
fuelectenerg-4161	155	39	wrong	wrong	ADJ
fuelectenerg-4161	155	40	information	information	NOUN
fuelectenerg-4161	155	41	to	to	ADP
fuelectenerg-4161	155	42	the	the	DET
fuelectenerg-4161	155	43	receiver	receiver	NOUN
fuelectenerg-4161	155	44	.	.	PUNCT
fuelectenerg-4161	156	1	the	the	DET
fuelectenerg-4161	156	2	receiver	receiver	NOUN
fuelectenerg-4161	156	3	receives	receive	VERB
fuelectenerg-4161	156	4	the	the	DET
fuelectenerg-4161	156	5	signature	signature	NOUN
fuelectenerg-4161	156	6	and	and	CCONJ
fuelectenerg-4161	156	7	verifies	verifie	NOUN
fuelectenerg-4161	156	8	the	the	DET
fuelectenerg-4161	156	9	signature	signature	NOUN
fuelectenerg-4161	156	10	to	to	PART
fuelectenerg-4161	156	11	authenticate	authenticate	VERB
fuelectenerg-4161	156	12	the	the	DET
fuelectenerg-4161	156	13	sender	sender	NOUN
fuelectenerg-4161	156	14	's	's	PART
fuelectenerg-4161	156	15	signature	signature	NOUN
fuelectenerg-4161	156	16	.	.	PUNCT
fuelectenerg-4161	157	1	this	this	PRON
fuelectenerg-4161	157	2	is	be	AUX
fuelectenerg-4161	157	3	been	be	AUX
fuelectenerg-4161	157	4	explained	explain	VERB
fuelectenerg-4161	157	5	as	as	SCONJ
fuelectenerg-4161	157	6	follows	follow	VERB
fuelectenerg-4161	157	7	if	if	SCONJ
fuelectenerg-4161	157	8	an	an	DET
fuelectenerg-4161	157	9	intruder	intruder	NOUN
fuelectenerg-4161	157	10	„	„	PUNCT
fuelectenerg-4161	157	11	t‟	t‟	NUM
fuelectenerg-4161	157	12	is	be	AUX
fuelectenerg-4161	157	13	forges	forge	VERB
fuelectenerg-4161	157	14	the	the	DET
fuelectenerg-4161	157	15	signature	signature	NOUN
fuelectenerg-4161	157	16	by	by	ADP
fuelectenerg-4161	157	17	knowing	know	VERB
fuelectenerg-4161	157	18	the	the	DET
fuelectenerg-4161	157	19	public	public	ADJ
fuelectenerg-4161	157	20	parameters	parameter	NOUN
fuelectenerg-4161	157	21	(	(	PUNCT
fuelectenerg-4161	157	22	g	g	NOUN
fuelectenerg-4161	157	23	,	,	PUNCT
fuelectenerg-4161	157	24	n	n	CCONJ
fuelectenerg-4161	157	25	,	,	PUNCT
fuelectenerg-4161	157	26	p	p	X
fuelectenerg-4161	157	27	,	,	PUNCT
fuelectenerg-4161	157	28	qs	qs	NOUN
fuelectenerg-4161	157	29	)	)	PUNCT
fuelectenerg-4161	157	30	for	for	ADP
fuelectenerg-4161	157	31	a	a	DET
fuelectenerg-4161	157	32	false	false	ADJ
fuelectenerg-4161	157	33	message	message	NOUN
fuelectenerg-4161	157	34	„	„	PUNCT
fuelectenerg-4161	157	35	m‟	m‟	X
fuelectenerg-4161	157	36	in	in	ADP
fuelectenerg-4161	157	37	the	the	DET
fuelectenerg-4161	157	38	following	follow	VERB
fuelectenerg-4161	157	39	steps	step	NOUN
fuelectenerg-4161	157	40	step	step	NOUN
fuelectenerg-4161	157	41	1	1	NUM
fuelectenerg-4161	157	42	:	:	PUNCT
fuelectenerg-4161	157	43	for	for	ADP
fuelectenerg-4161	157	44	signing	sign	VERB
fuelectenerg-4161	157	45	a	a	DET
fuelectenerg-4161	157	46	message	message	NOUN
fuelectenerg-4161	157	47	„	„	PUNCT
fuelectenerg-4161	157	48	m‟	m‟	NUM
fuelectenerg-4161	157	49	by	by	ADP
fuelectenerg-4161	157	50	sender	sender	NOUN
fuelectenerg-4161	157	51	,	,	PUNCT
fuelectenerg-4161	157	52	using	use	VERB
fuelectenerg-4161	157	53	private	private	ADJ
fuelectenerg-4161	157	54	key	key	ADJ
fuelectenerg-4161	157	55	da	da	NOUN
fuelectenerg-4161	157	56	and	and	CCONJ
fuelectenerg-4161	157	57	public	public	ADJ
fuelectenerg-4161	157	58	key	key	ADJ
fuelectenerg-4161	157	59	qs	qs	PROPN
fuelectenerg-4161	157	60	=	=	SYM
fuelectenerg-4161	157	61	dag	dag	PROPN
fuelectenerg-4161	157	62	step	step	NOUN
fuelectenerg-4161	157	63	2	2	NUM
fuelectenerg-4161	157	64	:	:	PUNCT
fuelectenerg-4161	158	1	calculate	calculate	NOUN
fuelectenerg-4161	158	2	h	h	NOUN
fuelectenerg-4161	159	1	=	=	PUNCT
fuelectenerg-4161	159	2	hash	hash	NOUN
fuelectenerg-4161	159	3	(	(	PUNCT
fuelectenerg-4161	159	4	m	m	NOUN
fuelectenerg-4161	159	5	)	)	PUNCT
fuelectenerg-4161	159	6	=	=	PRON
fuelectenerg-4161	159	7	sha-3	sha-3	NUM
fuelectenerg-4161	159	8	(	(	PUNCT
fuelectenerg-4161	159	9	m	m	NOUN
fuelectenerg-4161	159	10	)	)	PUNCT
fuelectenerg-4161	159	11	step	step	NOUN
fuelectenerg-4161	159	12	3	3	NUM
fuelectenerg-4161	159	13	:	:	PUNCT
fuelectenerg-4161	159	14	select	select	VERB
fuelectenerg-4161	159	15	a	a	DET
fuelectenerg-4161	159	16	random	random	ADJ
fuelectenerg-4161	159	17	integer	integer	NOUN
fuelectenerg-4161	159	18	kt	kt	X
fuelectenerg-4161	159	19	from	from	ADP
fuelectenerg-4161	159	20	[	[	X
fuelectenerg-4161	159	21	1	1	NUM
fuelectenerg-4161	159	22	,	,	PUNCT
fuelectenerg-4161	159	23	p	p	NOUN
fuelectenerg-4161	159	24	−	−	PROPN
fuelectenerg-4161	159	25	1	1	NUM
fuelectenerg-4161	159	26	]	]	PUNCT
fuelectenerg-4161	159	27	step	step	NOUN
fuelectenerg-4161	159	28	4	4	NUM
fuelectenerg-4161	159	29	:	:	PUNCT
fuelectenerg-4161	159	30	compute	compute	NOUN
fuelectenerg-4161	159	31	kt	kt	PROPN
fuelectenerg-4161	159	32	g=	g=	PROPN
fuelectenerg-4161	159	33	(	(	PUNCT
fuelectenerg-4161	159	34	xt	xt	PROPN
fuelectenerg-4161	159	35	,	,	PUNCT
fuelectenerg-4161	159	36	yt	yt	PROPN
fuelectenerg-4161	159	37	)	)	PUNCT
fuelectenerg-4161	159	38	step	step	NOUN
fuelectenerg-4161	159	39	5	5	NUM
fuelectenerg-4161	159	40	:	:	PUNCT
fuelectenerg-4161	159	41	calculate	calculate	NOUN
fuelectenerg-4161	159	42	rt	rt	PROPN
fuelectenerg-4161	159	43	=	=	SYM
fuelectenerg-4161	159	44	xt	xt	PROPN
fuelectenerg-4161	159	45	(	(	PUNCT
fuelectenerg-4161	159	46	mod	mod	PROPN
fuelectenerg-4161	159	47	p	p	X
fuelectenerg-4161	159	48	)	)	PUNCT
fuelectenerg-4161	159	49	,	,	PUNCT
fuelectenerg-4161	159	50	if	if	SCONJ
fuelectenerg-4161	159	51	rt	rt	PROPN
fuelectenerg-4161	159	52	=	=	SYM
fuelectenerg-4161	159	53	0	0	PROPN
fuelectenerg-4161	159	54	,	,	PUNCT
fuelectenerg-4161	159	55	go	go	VERB
fuelectenerg-4161	159	56	to	to	PART
fuelectenerg-4161	159	57	step	step	VERB
fuelectenerg-4161	159	58	2	2	NUM
fuelectenerg-4161	159	59	step	step	NOUN
fuelectenerg-4161	159	60	6	6	NUM
fuelectenerg-4161	159	61	:	:	PUNCT
fuelectenerg-4161	159	62	calculate	calculate	NOUN
fuelectenerg-4161	159	63	st	st	PROPN
fuelectenerg-4161	159	64	=	=	X
fuelectenerg-4161	159	65	(	(	PUNCT
fuelectenerg-4161	159	66	kt	kt	PROPN
fuelectenerg-4161	159	67	h	h	PROPN
fuelectenerg-4161	160	1	+	+	CCONJ
fuelectenerg-4161	160	2	(	(	PUNCT
fuelectenerg-4161	160	3	rt	rt	PROPN
fuelectenerg-4161	160	4	xor	xor	PROPN
fuelectenerg-4161	160	5	h	h	PROPN
fuelectenerg-4161	160	6	)	)	PUNCT
fuelectenerg-4161	160	7	qs	qs	PROPN
fuelectenerg-4161	160	8	(	(	PUNCT
fuelectenerg-4161	160	9	mod	mod	PROPN
fuelectenerg-4161	160	10	p	p	NOUN
fuelectenerg-4161	160	11	)	)	PUNCT
fuelectenerg-4161	160	12	.	.	PUNCT
fuelectenerg-4161	161	1	if	if	SCONJ
fuelectenerg-4161	161	2	st	st	PROPN
fuelectenerg-4161	161	3	=	=	SYM
fuelectenerg-4161	161	4	0	0	PROPN
fuelectenerg-4161	161	5	,	,	PUNCT
fuelectenerg-4161	161	6	go	go	VERB
fuelectenerg-4161	161	7	to	to	PART
fuelectenerg-4161	161	8	step	step	VERB
fuelectenerg-4161	161	9	2	2	NUM
fuelectenerg-4161	161	10	thus	thus	ADV
fuelectenerg-4161	161	11	the	the	DET
fuelectenerg-4161	161	12	signature	signature	NOUN
fuelectenerg-4161	161	13	pair	pair	NOUN
fuelectenerg-4161	161	14	(	(	PUNCT
fuelectenerg-4161	161	15	rt	rt	PROPN
fuelectenerg-4161	161	16	,	,	PUNCT
fuelectenerg-4161	161	17	st	st	PROPN
fuelectenerg-4161	161	18	)	)	PUNCT
fuelectenerg-4161	161	19	is	be	AUX
fuelectenerg-4161	161	20	transmitted	transmit	VERB
fuelectenerg-4161	161	21	with	with	ADP
fuelectenerg-4161	161	22	the	the	DET
fuelectenerg-4161	161	23	false	false	ADJ
fuelectenerg-4161	161	24	message	message	NOUN
fuelectenerg-4161	161	25	„	„	PUNCT
fuelectenerg-4161	161	26	m‟	m‟	NUM
fuelectenerg-4161	161	27	the	the	DET
fuelectenerg-4161	161	28	receiver	receiver	NOUN
fuelectenerg-4161	161	29	obtains	obtain	VERB
fuelectenerg-4161	161	30	an	an	DET
fuelectenerg-4161	161	31	authenticated	authenticate	VERB
fuelectenerg-4161	161	32	copy	copy	NOUN
fuelectenerg-4161	161	33	of	of	ADP
fuelectenerg-4161	161	34	sender‟s	sender‟s	NOUN
fuelectenerg-4161	161	35	signature	signature	NOUN
fuelectenerg-4161	161	36	pair	pair	NOUN
fuelectenerg-4161	161	37	with	with	ADP
fuelectenerg-4161	161	38	the	the	DET
fuelectenerg-4161	161	39	false	false	ADJ
fuelectenerg-4161	161	40	message	message	NOUN
fuelectenerg-4161	161	41	„	„	PUNCT
fuelectenerg-4161	161	42	m‟	m‟	PUNCT
fuelectenerg-4161	161	43	and	and	CCONJ
fuelectenerg-4161	161	44	verifys	verifys	VERB
fuelectenerg-4161	161	45	the	the	DET
fuelectenerg-4161	161	46	authenticity	authenticity	NOUN
fuelectenerg-4161	161	47	of	of	ADP
fuelectenerg-4161	161	48	sender‟s	sender‟s	NOUN
fuelectenerg-4161	161	49	signature	signature	NOUN
fuelectenerg-4161	161	50	(	(	PUNCT
fuelectenerg-4161	161	51	rt	rt	PROPN
fuelectenerg-4161	161	52	,	,	PUNCT
fuelectenerg-4161	161	53	st	st	PROPN
fuelectenerg-4161	161	54	)	)	PUNCT
fuelectenerg-4161	161	55	using	use	VERB
fuelectenerg-4161	161	56	public	public	ADJ
fuelectenerg-4161	161	57	parameters	parameter	NOUN
fuelectenerg-4161	161	58	(	(	PUNCT
fuelectenerg-4161	161	59	g	g	NOUN
fuelectenerg-4161	161	60	,	,	PUNCT
fuelectenerg-4161	161	61	n	n	CCONJ
fuelectenerg-4161	161	62	,	,	PUNCT
fuelectenerg-4161	161	63	p	p	X
fuelectenerg-4161	161	64	,	,	PUNCT
fuelectenerg-4161	161	65	qs	qs	NOUN
fuelectenerg-4161	161	66	)	)	PUNCT
fuelectenerg-4161	161	67	for	for	ADP
fuelectenerg-4161	161	68	message	message	NOUN
fuelectenerg-4161	161	69	„	„	PUNCT
fuelectenerg-4161	161	70	m‟	m‟	NUM
fuelectenerg-4161	161	71	by	by	ADP
fuelectenerg-4161	161	72	performing	perform	VERB
fuelectenerg-4161	161	73	the	the	DET
fuelectenerg-4161	161	74	following	follow	VERB
fuelectenerg-4161	161	75	steps	step	NOUN
fuelectenerg-4161	161	76	:	:	PUNCT
fuelectenerg-4161	161	77	step	step	NOUN
fuelectenerg-4161	161	78	1	1	NUM
fuelectenerg-4161	161	79	:	:	PUNCT
fuelectenerg-4161	161	80	verify	verify	VERB
fuelectenerg-4161	161	81	that	that	SCONJ
fuelectenerg-4161	161	82	rt	rt	PROPN
fuelectenerg-4161	161	83	and	and	CCONJ
fuelectenerg-4161	161	84	st	st	PROPN
fuelectenerg-4161	161	85	are	be	AUX
fuelectenerg-4161	161	86	integers	integer	NOUN
fuelectenerg-4161	161	87	in	in	ADP
fuelectenerg-4161	161	88	[	[	X
fuelectenerg-4161	161	89	1	1	NUM
fuelectenerg-4161	161	90	,	,	PUNCT
fuelectenerg-4161	161	91	p	p	NOUN
fuelectenerg-4161	161	92	−	−	PROPN
fuelectenerg-4161	161	93	1	1	NUM
fuelectenerg-4161	161	94	]	]	PUNCT
fuelectenerg-4161	161	95	.	.	PUNCT
fuelectenerg-4161	162	1	if	if	SCONJ
fuelectenerg-4161	162	2	not	not	PART
fuelectenerg-4161	162	3	,	,	PUNCT
fuelectenerg-4161	162	4	the	the	DET
fuelectenerg-4161	162	5	signature	signature	NOUN
fuelectenerg-4161	162	6	is	be	AUX
fuelectenerg-4161	162	7	invalid	invalid	ADJ
fuelectenerg-4161	162	8	step	step	NOUN
fuelectenerg-4161	162	9	2	2	NUM
fuelectenerg-4161	162	10	:	:	PUNCT
fuelectenerg-4161	162	11	calculate	calculate	NOUN
fuelectenerg-4161	162	12	h	h	NOUN
fuelectenerg-4161	163	1	=	=	PUNCT
fuelectenerg-4161	163	2	hash	hash	NOUN
fuelectenerg-4161	163	3	(	(	PUNCT
fuelectenerg-4161	163	4	m	m	NOUN
fuelectenerg-4161	163	5	)	)	PUNCT
fuelectenerg-4161	163	6	=	=	PRON
fuelectenerg-4161	163	7	sha-3	sha-3	NUM
fuelectenerg-4161	163	8	(	(	PUNCT
fuelectenerg-4161	163	9	m	m	NOUN
fuelectenerg-4161	163	10	)	)	PUNCT
fuelectenerg-4161	163	11	step	step	NOUN
fuelectenerg-4161	163	12	3	3	NUM
fuelectenerg-4161	163	13	:	:	PUNCT
fuelectenerg-4161	163	14	calculate	calculate	NOUN
fuelectenerg-4161	163	15	w	w	NOUN
fuelectenerg-4161	163	16	=	=	PUNCT
fuelectenerg-4161	163	17	h	h	NOUN
fuelectenerg-4161	163	18	−1	−1	NOUN
fuelectenerg-4161	163	19	(	(	PUNCT
fuelectenerg-4161	163	20	mod	mod	PROPN
fuelectenerg-4161	163	21	p	p	NOUN
fuelectenerg-4161	163	22	)	)	PUNCT
fuelectenerg-4161	163	23	step	step	NOUN
fuelectenerg-4161	163	24	4	4	NUM
fuelectenerg-4161	163	25	:	:	PUNCT
fuelectenerg-4161	163	26	calculate	calculate	NOUN
fuelectenerg-4161	163	27	u	u	NOUN
fuelectenerg-4161	163	28	=	=	PUNCT
fuelectenerg-4161	163	29	(	(	PUNCT
fuelectenerg-4161	163	30	rt	rt	PROPN
fuelectenerg-4161	163	31	xor	xor	PROPN
fuelectenerg-4161	163	32	h)(mod	h)(mod	PROPN
fuelectenerg-4161	163	33	p	p	X
fuelectenerg-4161	163	34	)	)	PUNCT
fuelectenerg-4161	163	35	step	step	NOUN
fuelectenerg-4161	163	36	5	5	NUM
fuelectenerg-4161	163	37	:	:	PUNCT
fuelectenerg-4161	163	38	calculate	calculate	NOUN
fuelectenerg-4161	163	39	(	(	PUNCT
fuelectenerg-4161	163	40	xt	xt	PROPN
fuelectenerg-4161	163	41	,	,	PUNCT
fuelectenerg-4161	163	42	yt	yt	PROPN
fuelectenerg-4161	163	43	)	)	PUNCT
fuelectenerg-4161	163	44	=	=	SYM
fuelectenerg-4161	164	1	w(st	w(st	PROPN
fuelectenerg-4161	164	2	–	–	PUNCT
fuelectenerg-4161	164	3	uqs	uqs	NOUN
fuelectenerg-4161	164	4	)	)	PUNCT
fuelectenerg-4161	164	5	step	step	NOUN
fuelectenerg-4161	164	6	6	6	NUM
fuelectenerg-4161	164	7	:	:	PUNCT
fuelectenerg-4161	164	8	the	the	DET
fuelectenerg-4161	164	9	signature	signature	NOUN
fuelectenerg-4161	164	10	is	be	AUX
fuelectenerg-4161	164	11	valid	valid	ADJ
fuelectenerg-4161	164	12	if	if	SCONJ
fuelectenerg-4161	164	13	vt	vt	PROPN
fuelectenerg-4161	164	14	=	=	SYM
fuelectenerg-4161	164	15	xt	xt	PROPN
fuelectenerg-4161	164	16	(	(	PUNCT
fuelectenerg-4161	164	17	mod	mod	PROPN
fuelectenerg-4161	164	18	p	p	X
fuelectenerg-4161	164	19	)	)	PUNCT
fuelectenerg-4161	164	20	=	=	SYM
fuelectenerg-4161	164	21	rt	rt	PROPN
fuelectenerg-4161	164	22	,	,	PUNCT
fuelectenerg-4161	164	23	invalid	invalid	ADJ
fuelectenerg-4161	164	24	otherwise	otherwise	ADV
fuelectenerg-4161	164	25	if	if	SCONJ
fuelectenerg-4161	164	26	the	the	DET
fuelectenerg-4161	164	27	forged	forge	VERB
fuelectenerg-4161	164	28	signature	signature	NOUN
fuelectenerg-4161	164	29	is	be	AUX
fuelectenerg-4161	164	30	validated	validate	VERB
fuelectenerg-4161	164	31	,	,	PUNCT
fuelectenerg-4161	164	32	then	then	ADV
fuelectenerg-4161	164	33	intruder	intruder	NOUN
fuelectenerg-4161	164	34	can	can	AUX
fuelectenerg-4161	164	35	successfully	successfully	ADV
fuelectenerg-4161	164	36	send	send	VERB
fuelectenerg-4161	164	37	false	false	ADJ
fuelectenerg-4161	164	38	information	information	NOUN
fuelectenerg-4161	164	39	,	,	PUNCT
fuelectenerg-4161	164	40	hence	hence	ADV
fuelectenerg-4161	164	41	digital	digital	ADJ
fuelectenerg-4161	164	42	signature	signature	NOUN
fuelectenerg-4161	164	43	schemes	scheme	NOUN
fuelectenerg-4161	164	44	are	be	AUX
fuelectenerg-4161	164	45	not	not	PART
fuelectenerg-4161	164	46	secure	secure	ADJ
fuelectenerg-4161	164	47	.	.	PUNCT
fuelectenerg-4161	165	1	to	to	PART
fuelectenerg-4161	165	2	solve	solve	VERB
fuelectenerg-4161	165	3	this	this	DET
fuelectenerg-4161	165	4	drawback	drawback	NOUN
fuelectenerg-4161	165	5	public	public	ADJ
fuelectenerg-4161	165	6	parameters	parameter	NOUN
fuelectenerg-4161	165	7	being	be	AUX
fuelectenerg-4161	165	8	shared	share	VERB
fuelectenerg-4161	165	9	are	be	AUX
fuelectenerg-4161	165	10	reduced	reduce	VERB
fuelectenerg-4161	165	11	.	.	PUNCT
fuelectenerg-4161	166	1	fpga	fpga	NOUN
fuelectenerg-4161	166	2	implementation	implementation	NOUN
fuelectenerg-4161	166	3	of	of	ADP
fuelectenerg-4161	166	4	modified	modify	VERB
fuelectenerg-4161	166	5	elliptic	elliptic	ADJ
fuelectenerg-4161	166	6	curve	curve	NOUN
fuelectenerg-4161	166	7	digital	digital	ADJ
fuelectenerg-4161	166	8	signature	signature	NOUN
fuelectenerg-4161	166	9	algorithm	algorithm	NOUN
fuelectenerg-4161	166	10	137	137	NUM
fuelectenerg-4161	166	11	5	5	NUM
fuelectenerg-4161	166	12	.	.	PUNCT
fuelectenerg-4161	166	13	modified	modify	VERB
fuelectenerg-4161	166	14	elliptic	elliptic	ADJ
fuelectenerg-4161	166	15	curve	curve	NOUN
fuelectenerg-4161	166	16	digital	digital	ADJ
fuelectenerg-4161	166	17	signature	signature	NOUN
fuelectenerg-4161	166	18	algorithm	algorithm	NOUN
fuelectenerg-4161	166	19	while	while	SCONJ
fuelectenerg-4161	166	20	comparing	compare	VERB
fuelectenerg-4161	166	21	the	the	DET
fuelectenerg-4161	166	22	original	original	ADJ
fuelectenerg-4161	166	23	ecdsa	ecdsa	NOUN
fuelectenerg-4161	166	24	and	and	CCONJ
fuelectenerg-4161	166	25	its	its	PRON
fuelectenerg-4161	166	26	variants	variant	NOUN
fuelectenerg-4161	166	27	,	,	PUNCT
fuelectenerg-4161	166	28	it	it	PRON
fuelectenerg-4161	166	29	is	be	AUX
fuelectenerg-4161	166	30	found	find	VERB
fuelectenerg-4161	166	31	that	that	SCONJ
fuelectenerg-4161	166	32	original	original	ADJ
fuelectenerg-4161	166	33	ecdsa	ecdsa	NOUN
fuelectenerg-4161	166	34	is	be	AUX
fuelectenerg-4161	166	35	vulnerable	vulnerable	ADJ
fuelectenerg-4161	166	36	to	to	ADP
fuelectenerg-4161	166	37	attack	attack	VERB
fuelectenerg-4161	166	38	if	if	SCONJ
fuelectenerg-4161	166	39	the	the	DET
fuelectenerg-4161	166	40	same	same	ADJ
fuelectenerg-4161	166	41	key	key	NOUN
fuelectenerg-4161	166	42	is	be	AUX
fuelectenerg-4161	166	43	used	use	VERB
fuelectenerg-4161	166	44	for	for	ADP
fuelectenerg-4161	166	45	different	different	ADJ
fuelectenerg-4161	166	46	messages	message	NOUN
fuelectenerg-4161	166	47	.	.	PUNCT
fuelectenerg-4161	167	1	scheme	scheme	NOUN
fuelectenerg-4161	167	2	2	2	NUM
fuelectenerg-4161	167	3	is	be	AUX
fuelectenerg-4161	167	4	useful	useful	ADJ
fuelectenerg-4161	167	5	for	for	ADP
fuelectenerg-4161	167	6	verifier	verifier	NOUN
fuelectenerg-4161	167	7	with	with	ADP
fuelectenerg-4161	167	8	limited	limited	ADJ
fuelectenerg-4161	167	9	compute	compute	NOUN
fuelectenerg-4161	167	10	apparatus	apparatus	NOUN
fuelectenerg-4161	167	11	as	as	SCONJ
fuelectenerg-4161	167	12	there	there	PRON
fuelectenerg-4161	167	13	is	be	VERB
fuelectenerg-4161	167	14	no	no	DET
fuelectenerg-4161	167	15	inverse	inverse	ADJ
fuelectenerg-4161	167	16	calculation	calculation	NOUN
fuelectenerg-4161	167	17	in	in	ADP
fuelectenerg-4161	167	18	key	key	ADJ
fuelectenerg-4161	167	19	generation	generation	NOUN
fuelectenerg-4161	167	20	and	and	CCONJ
fuelectenerg-4161	167	21	signing	signing	NOUN
fuelectenerg-4161	167	22	phase	phase	NOUN
fuelectenerg-4161	167	23	,	,	PUNCT
fuelectenerg-4161	167	24	but	but	CCONJ
fuelectenerg-4161	167	25	anyone	anyone	PRON
fuelectenerg-4161	167	26	can	can	AUX
fuelectenerg-4161	167	27	use	use	VERB
fuelectenerg-4161	167	28	legitimate	legitimate	ADJ
fuelectenerg-4161	167	29	user‟s	user‟s	ADJ
fuelectenerg-4161	167	30	public	public	ADJ
fuelectenerg-4161	167	31	-	-	PUNCT
fuelectenerg-4161	167	32	key	key	NOUN
fuelectenerg-4161	167	33	to	to	PART
fuelectenerg-4161	167	34	forge	forge	VERB
fuelectenerg-4161	167	35	the	the	DET
fuelectenerg-4161	167	36	signature	signature	NOUN
fuelectenerg-4161	167	37	of	of	ADP
fuelectenerg-4161	167	38	any	any	DET
fuelectenerg-4161	167	39	information	information	NOUN
fuelectenerg-4161	167	40	.	.	PUNCT
fuelectenerg-4161	168	1	thus	thus	ADV
fuelectenerg-4161	168	2	in	in	ADP
fuelectenerg-4161	168	3	the	the	DET
fuelectenerg-4161	168	4	modified	modify	VERB
fuelectenerg-4161	168	5	ecdsa	ecdsa	PROPN
fuelectenerg-4161	168	6	scheme	scheme	NOUN
fuelectenerg-4161	168	7	hidden	hide	VERB
fuelectenerg-4161	168	8	generator	generator	NOUN
fuelectenerg-4161	168	9	point	point	NOUN
fuelectenerg-4161	168	10	concept	concept	NOUN
fuelectenerg-4161	168	11	is	be	AUX
fuelectenerg-4161	168	12	applied	apply	VERB
fuelectenerg-4161	168	13	to	to	PART
fuelectenerg-4161	168	14	authenticate	authenticate	VERB
fuelectenerg-4161	168	15	the	the	DET
fuelectenerg-4161	168	16	encrypted	encrypt	VERB
fuelectenerg-4161	168	17	message	message	NOUN
fuelectenerg-4161	168	18	communicated	communicate	VERB
fuelectenerg-4161	168	19	between	between	ADP
fuelectenerg-4161	168	20	the	the	DET
fuelectenerg-4161	168	21	devices	device	NOUN
fuelectenerg-4161	168	22	connected	connect	VERB
fuelectenerg-4161	168	23	in	in	ADP
fuelectenerg-4161	168	24	the	the	DET
fuelectenerg-4161	168	25	perceptual	perceptual	ADJ
fuelectenerg-4161	168	26	layer	layer	NOUN
fuelectenerg-4161	168	27	of	of	ADP
fuelectenerg-4161	168	28	iot	iot	NOUN
fuelectenerg-4161	168	29	.	.	PUNCT
fuelectenerg-4161	169	1	the	the	DET
fuelectenerg-4161	169	2	normal	normal	ADJ
fuelectenerg-4161	169	3	ecdsa	ecdsa	NOUN
fuelectenerg-4161	169	4	are	be	AUX
fuelectenerg-4161	169	5	configured	configure	VERB
fuelectenerg-4161	169	6	with	with	ADP
fuelectenerg-4161	169	7	the	the	DET
fuelectenerg-4161	169	8	points	point	NOUN
fuelectenerg-4161	169	9	on	on	ADP
fuelectenerg-4161	169	10	the	the	DET
fuelectenerg-4161	169	11	elliptic	elliptic	ADJ
fuelectenerg-4161	169	12	curve	curve	NOUN
fuelectenerg-4161	169	13	,	,	PUNCT
fuelectenerg-4161	169	14	a	a	DET
fuelectenerg-4161	169	15	generator	generator	NOUN
fuelectenerg-4161	169	16	point	point	NOUN
fuelectenerg-4161	169	17	„	„	PUNCT
fuelectenerg-4161	169	18	g‟	g‟	NUM
fuelectenerg-4161	169	19	is	be	AUX
fuelectenerg-4161	169	20	selected	select	VERB
fuelectenerg-4161	169	21	publicly	publicly	ADV
fuelectenerg-4161	169	22	available	available	ADJ
fuelectenerg-4161	169	23	and	and	CCONJ
fuelectenerg-4161	169	24	distributed	distribute	VERB
fuelectenerg-4161	169	25	over	over	ADP
fuelectenerg-4161	169	26	the	the	DET
fuelectenerg-4161	169	27	network	network	NOUN
fuelectenerg-4161	169	28	by	by	ADP
fuelectenerg-4161	169	29	the	the	DET
fuelectenerg-4161	169	30	certificate	certificate	NOUN
fuelectenerg-4161	169	31	authority	authority	NOUN
fuelectenerg-4161	169	32	(	(	PUNCT
fuelectenerg-4161	169	33	ca	ca	NOUN
fuelectenerg-4161	169	34	)	)	PUNCT
fuelectenerg-4161	170	1	[	[	X
fuelectenerg-4161	170	2	11	11	NUM
fuelectenerg-4161	170	3	]	]	PUNCT
fuelectenerg-4161	170	4	.	.	PUNCT
fuelectenerg-4161	171	1	in	in	ADP
fuelectenerg-4161	171	2	this	this	DET
fuelectenerg-4161	171	3	scheme	scheme	NOUN
fuelectenerg-4161	171	4	,	,	PUNCT
fuelectenerg-4161	171	5	the	the	DET
fuelectenerg-4161	171	6	requirement	requirement	NOUN
fuelectenerg-4161	171	7	of	of	ADP
fuelectenerg-4161	171	8	ca	ca	NOUN
fuelectenerg-4161	171	9	makes	make	VERB
fuelectenerg-4161	171	10	it	it	PRON
fuelectenerg-4161	171	11	difficult	difficult	ADJ
fuelectenerg-4161	171	12	to	to	PART
fuelectenerg-4161	171	13	implement	implement	VERB
fuelectenerg-4161	171	14	security	security	NOUN
fuelectenerg-4161	171	15	.	.	PUNCT
fuelectenerg-4161	172	1	the	the	DET
fuelectenerg-4161	172	2	information	information	NOUN
fuelectenerg-4161	172	3	shared	share	VERB
fuelectenerg-4161	172	4	by	by	ADP
fuelectenerg-4161	172	5	the	the	DET
fuelectenerg-4161	172	6	ca	ca	NOUN
fuelectenerg-4161	172	7	can	can	AUX
fuelectenerg-4161	172	8	be	be	AUX
fuelectenerg-4161	172	9	breached	breach	VERB
fuelectenerg-4161	172	10	by	by	ADP
fuelectenerg-4161	172	11	the	the	DET
fuelectenerg-4161	172	12	intruders	intruder	NOUN
fuelectenerg-4161	172	13	,	,	PUNCT
fuelectenerg-4161	172	14	making	make	VERB
fuelectenerg-4161	172	15	the	the	DET
fuelectenerg-4161	172	16	network	network	NOUN
fuelectenerg-4161	172	17	susceptible	susceptible	ADJ
fuelectenerg-4161	172	18	to	to	ADP
fuelectenerg-4161	172	19	mim	mim	PROPN
fuelectenerg-4161	172	20	attack	attack	NOUN
fuelectenerg-4161	172	21	[	[	X
fuelectenerg-4161	172	22	12	12	NUM
fuelectenerg-4161	172	23	]	]	PUNCT
fuelectenerg-4161	172	24	.	.	PUNCT
fuelectenerg-4161	173	1	hence	hence	ADV
fuelectenerg-4161	173	2	to	to	PART
fuelectenerg-4161	173	3	elucidate	elucidate	VERB
fuelectenerg-4161	173	4	this	this	DET
fuelectenerg-4161	173	5	exposure	exposure	NOUN
fuelectenerg-4161	173	6	and	and	CCONJ
fuelectenerg-4161	173	7	to	to	PART
fuelectenerg-4161	173	8	secure	secure	VERB
fuelectenerg-4161	173	9	the	the	DET
fuelectenerg-4161	173	10	network	network	NOUN
fuelectenerg-4161	173	11	against	against	ADP
fuelectenerg-4161	173	12	mim	mim	PROPN
fuelectenerg-4161	173	13	attacks	attack	NOUN
fuelectenerg-4161	173	14	,	,	PUNCT
fuelectenerg-4161	173	15	maintaining	maintain	VERB
fuelectenerg-4161	173	16	the	the	DET
fuelectenerg-4161	173	17	security	security	NOUN
fuelectenerg-4161	173	18	for	for	ADP
fuelectenerg-4161	173	19	each	each	DET
fuelectenerg-4161	173	20	session	session	NOUN
fuelectenerg-4161	173	21	of	of	ADP
fuelectenerg-4161	173	22	communication	communication	NOUN
fuelectenerg-4161	173	23	between	between	ADP
fuelectenerg-4161	173	24	the	the	DET
fuelectenerg-4161	173	25	two	two	NUM
fuelectenerg-4161	173	26	nodes	node	NOUN
fuelectenerg-4161	173	27	without	without	ADP
fuelectenerg-4161	173	28	a	a	DET
fuelectenerg-4161	173	29	common	common	ADJ
fuelectenerg-4161	173	30	generator	generator	NOUN
fuelectenerg-4161	173	31	point	point	NOUN
fuelectenerg-4161	173	32	is	be	AUX
fuelectenerg-4161	173	33	suggested	suggest	VERB
fuelectenerg-4161	173	34	.	.	PUNCT
fuelectenerg-4161	174	1	therefore	therefore	ADV
fuelectenerg-4161	174	2	a	a	DET
fuelectenerg-4161	174	3	generator	generator	NOUN
fuelectenerg-4161	174	4	point	point	NOUN
fuelectenerg-4161	174	5	is	be	AUX
fuelectenerg-4161	174	6	shared	share	VERB
fuelectenerg-4161	174	7	only	only	ADV
fuelectenerg-4161	174	8	between	between	ADP
fuelectenerg-4161	174	9	the	the	DET
fuelectenerg-4161	174	10	devices	device	NOUN
fuelectenerg-4161	174	11	being	be	AUX
fuelectenerg-4161	174	12	connected	connect	VERB
fuelectenerg-4161	174	13	to	to	PART
fuelectenerg-4161	174	14	communicate	communicate	VERB
fuelectenerg-4161	174	15	.	.	PUNCT
fuelectenerg-4161	175	1	this	this	DET
fuelectenerg-4161	175	2	concept	concept	NOUN
fuelectenerg-4161	175	3	is	be	AUX
fuelectenerg-4161	175	4	implemented	implement	VERB
fuelectenerg-4161	175	5	in	in	ADP
fuelectenerg-4161	175	6	the	the	DET
fuelectenerg-4161	175	7	ecdsa	ecdsa	NOUN
fuelectenerg-4161	175	8	has	have	VERB
fuelectenerg-4161	175	9	two	two	NUM
fuelectenerg-4161	175	10	stages	stage	NOUN
fuelectenerg-4161	175	11	;	;	PUNCT
fuelectenerg-4161	175	12	initialization	initialization	NOUN
fuelectenerg-4161	175	13	stage	stage	NOUN
fuelectenerg-4161	175	14	and	and	CCONJ
fuelectenerg-4161	175	15	authorization	authorization	NOUN
fuelectenerg-4161	175	16	stage	stage	NOUN
fuelectenerg-4161	175	17	.	.	PUNCT
fuelectenerg-4161	176	1	5.1	5.1	NUM
fuelectenerg-4161	176	2	initialization	initialization	NOUN
fuelectenerg-4161	176	3	stage	stage	NOUN
fuelectenerg-4161	176	4	let	let	VERB
fuelectenerg-4161	176	5	us	we	PRON
fuelectenerg-4161	176	6	consider	consider	VERB
fuelectenerg-4161	176	7	two	two	NUM
fuelectenerg-4161	176	8	nodes	node	NOUN
fuelectenerg-4161	176	9	represented	represent	VERB
fuelectenerg-4161	176	10	in	in	ADP
fuelectenerg-4161	176	11	fig	fig	NOUN
fuelectenerg-4161	176	12	.	.	PUNCT
fuelectenerg-4161	177	1	5	5	NUM
fuelectenerg-4161	177	2	in	in	ADP
fuelectenerg-4161	177	3	the	the	DET
fuelectenerg-4161	177	4	wsn	wsn	NOUN
fuelectenerg-4161	177	5	.	.	PUNCT
fuelectenerg-4161	178	1	it	it	PRON
fuelectenerg-4161	178	2	is	be	AUX
fuelectenerg-4161	178	3	assumed	assume	VERB
fuelectenerg-4161	178	4	that	that	SCONJ
fuelectenerg-4161	178	5	both	both	DET
fuelectenerg-4161	178	6	nodes	node	NOUN
fuelectenerg-4161	178	7	,	,	PUNCT
fuelectenerg-4161	178	8	i.e.	i.e.	X
fuelectenerg-4161	178	9	sender	sender	NOUN
fuelectenerg-4161	178	10	and	and	CCONJ
fuelectenerg-4161	178	11	receiver	receiver	NOUN
fuelectenerg-4161	178	12	,	,	PUNCT
fuelectenerg-4161	178	13	select	select	VERB
fuelectenerg-4161	178	14	their	their	PRON
fuelectenerg-4161	178	15	generator	generator	NOUN
fuelectenerg-4161	178	16	points	point	NOUN
fuelectenerg-4161	178	17	,	,	PUNCT
fuelectenerg-4161	178	18	gs	gs	NOUN
fuelectenerg-4161	178	19	and	and	CCONJ
fuelectenerg-4161	178	20	gr	gr	INTJ
fuelectenerg-4161	178	21	individually	individually	ADV
fuelectenerg-4161	178	22	apart	apart	ADV
fuelectenerg-4161	178	23	from	from	ADP
fuelectenerg-4161	178	24	the	the	DET
fuelectenerg-4161	178	25	private	private	ADJ
fuelectenerg-4161	178	26	keys	key	NOUN
fuelectenerg-4161	178	27	,	,	PUNCT
fuelectenerg-4161	178	28	ks	ks	NOUN
fuelectenerg-4161	178	29	and	and	CCONJ
fuelectenerg-4161	178	30	kr	kr	PROPN
fuelectenerg-4161	178	31	.	.	PUNCT
fuelectenerg-4161	179	1	the	the	DET
fuelectenerg-4161	179	2	inverse	inverse	NOUN
fuelectenerg-4161	179	3	of	of	ADP
fuelectenerg-4161	179	4	the	the	DET
fuelectenerg-4161	179	5	private	private	ADJ
fuelectenerg-4161	179	6	keys	key	NOUN
fuelectenerg-4161	179	7	ks	ks	PROPN
fuelectenerg-4161	179	8	-1	-1	NOUN
fuelectenerg-4161	179	9	and	and	CCONJ
fuelectenerg-4161	179	10	kr	kr	PROPN
fuelectenerg-4161	179	11	-1	-1	PUNCT
fuelectenerg-4161	179	12	are	be	AUX
fuelectenerg-4161	179	13	also	also	ADV
fuelectenerg-4161	179	14	computed	compute	VERB
fuelectenerg-4161	179	15	.	.	PUNCT
fuelectenerg-4161	180	1	once	once	SCONJ
fuelectenerg-4161	180	2	the	the	DET
fuelectenerg-4161	180	3	inverse	inverse	NOUN
fuelectenerg-4161	180	4	of	of	ADP
fuelectenerg-4161	180	5	the	the	DET
fuelectenerg-4161	180	6	private	private	ADJ
fuelectenerg-4161	180	7	keys	key	NOUN
fuelectenerg-4161	180	8	are	be	AUX
fuelectenerg-4161	180	9	computed	compute	VERB
fuelectenerg-4161	180	10	,	,	PUNCT
fuelectenerg-4161	180	11	the	the	DET
fuelectenerg-4161	180	12	sender	sender	NOUN
fuelectenerg-4161	180	13	generates	generate	VERB
fuelectenerg-4161	180	14	its	its	PRON
fuelectenerg-4161	180	15	public	public	ADJ
fuelectenerg-4161	180	16	key	key	ADJ
fuelectenerg-4161	180	17	psa	psa	NOUN
fuelectenerg-4161	180	18	using	use	VERB
fuelectenerg-4161	180	19	the	the	DET
fuelectenerg-4161	180	20	eq	eq	NOUN
fuelectenerg-4161	180	21	.	.	PUNCT
fuelectenerg-4161	181	1	(	(	PUNCT
fuelectenerg-4161	181	2	14	14	NUM
fuelectenerg-4161	181	3	)	)	PUNCT
fuelectenerg-4161	181	4	,	,	PUNCT
fuelectenerg-4161	181	5	whereas	whereas	SCONJ
fuelectenerg-4161	181	6	the	the	DET
fuelectenerg-4161	181	7	receiver	receiver	NOUN
fuelectenerg-4161	181	8	generates	generate	VERB
fuelectenerg-4161	181	9	its	its	PRON
fuelectenerg-4161	181	10	public	public	ADJ
fuelectenerg-4161	181	11	key	key	ADJ
fuelectenerg-4161	181	12	pra	pra	NOUN
fuelectenerg-4161	181	13	using	use	VERB
fuelectenerg-4161	181	14	the	the	DET
fuelectenerg-4161	181	15	eq	eq	NOUN
fuelectenerg-4161	181	16	.	.	PUNCT
fuelectenerg-4161	182	1	(	(	PUNCT
fuelectenerg-4161	182	2	15	15	NUM
fuelectenerg-4161	182	3	)	)	PUNCT
fuelectenerg-4161	182	4	psa	psa	NOUN
fuelectenerg-4161	182	5	=	=	SYM
fuelectenerg-4161	182	6	ks	ks	PROPN
fuelectenerg-4161	182	7	-1	-1	INTJ
fuelectenerg-4161	182	8	gs	gs	PROPN
fuelectenerg-4161	182	9	(	(	PUNCT
fuelectenerg-4161	182	10	14	14	NUM
fuelectenerg-4161	182	11	)	)	PUNCT
fuelectenerg-4161	182	12	pra	pra	NOUN
fuelectenerg-4161	183	1	=	=	SYM
fuelectenerg-4161	183	2	kr	kr	PROPN
fuelectenerg-4161	183	3	-1	-1	INTJ
fuelectenerg-4161	183	4	gr	gr	X
fuelectenerg-4161	183	5	(	(	PUNCT
fuelectenerg-4161	183	6	15	15	NUM
fuelectenerg-4161	183	7	)	)	PUNCT
fuelectenerg-4161	183	8	both	both	CCONJ
fuelectenerg-4161	183	9	the	the	DET
fuelectenerg-4161	183	10	public	public	ADJ
fuelectenerg-4161	183	11	keys	key	NOUN
fuelectenerg-4161	183	12	psa	psa	VERB
fuelectenerg-4161	183	13	and	and	CCONJ
fuelectenerg-4161	183	14	pra	pra	PROPN
fuelectenerg-4161	183	15	are	be	AUX
fuelectenerg-4161	183	16	exchanged	exchange	VERB
fuelectenerg-4161	183	17	between	between	ADP
fuelectenerg-4161	183	18	sender	sender	NOUN
fuelectenerg-4161	183	19	and	and	CCONJ
fuelectenerg-4161	183	20	receiver	receiver	NOUN
fuelectenerg-4161	183	21	after	after	ADP
fuelectenerg-4161	183	22	multiplying	multiply	VERB
fuelectenerg-4161	183	23	it	it	PRON
fuelectenerg-4161	183	24	with	with	ADP
fuelectenerg-4161	183	25	the	the	DET
fuelectenerg-4161	183	26	inverses	inverse	NOUN
fuelectenerg-4161	183	27	of	of	ADP
fuelectenerg-4161	183	28	their	their	PRON
fuelectenerg-4161	183	29	private	private	ADJ
fuelectenerg-4161	183	30	keys	key	NOUN
fuelectenerg-4161	183	31	.	.	PUNCT
fuelectenerg-4161	184	1	the	the	DET
fuelectenerg-4161	184	2	resultant	resultant	NOUN
fuelectenerg-4161	184	3	key	key	NOUN
fuelectenerg-4161	184	4	is	be	AUX
fuelectenerg-4161	184	5	transmitted	transmit	VERB
fuelectenerg-4161	184	6	to	to	ADP
fuelectenerg-4161	184	7	the	the	DET
fuelectenerg-4161	184	8	receiver	receiver	NOUN
fuelectenerg-4161	184	9	as	as	SCONJ
fuelectenerg-4161	184	10	is	be	AUX
fuelectenerg-4161	184	11	specified	specify	VERB
fuelectenerg-4161	184	12	in	in	ADP
fuelectenerg-4161	184	13	the	the	DET
fuelectenerg-4161	184	14	eq	eq	NOUN
fuelectenerg-4161	184	15	.	.	PUNCT
fuelectenerg-4161	185	1	(	(	PUNCT
fuelectenerg-4161	185	2	16	16	NUM
fuelectenerg-4161	185	3	)	)	PUNCT
fuelectenerg-4161	185	4	,	,	PUNCT
fuelectenerg-4161	185	5	and	and	CCONJ
fuelectenerg-4161	185	6	the	the	DET
fuelectenerg-4161	185	7	resultant	resultant	NOUN
fuelectenerg-4161	185	8	key	key	NOUN
fuelectenerg-4161	185	9	received	receive	VERB
fuelectenerg-4161	185	10	by	by	ADP
fuelectenerg-4161	185	11	the	the	DET
fuelectenerg-4161	185	12	sender	sender	NOUN
fuelectenerg-4161	185	13	is	be	AUX
fuelectenerg-4161	185	14	specified	specify	VERB
fuelectenerg-4161	185	15	in	in	ADP
fuelectenerg-4161	185	16	the	the	DET
fuelectenerg-4161	185	17	eq	eq	NOUN
fuelectenerg-4161	185	18	.	.	PUNCT
fuelectenerg-4161	186	1	(	(	PUNCT
fuelectenerg-4161	186	2	17	17	NUM
fuelectenerg-4161	186	3	)	)	PUNCT
fuelectenerg-4161	186	4	psb	psb	PROPN
fuelectenerg-4161	186	5	=	=	PUNCT
fuelectenerg-4161	187	1	praks	praks	INTJ
fuelectenerg-4161	187	2	-1	-1	PUNCT
fuelectenerg-4161	188	1	=	=	SYM
fuelectenerg-4161	188	2	kr	kr	PROPN
fuelectenerg-4161	188	3	-1	-1	PROPN
fuelectenerg-4161	188	4	grks	grk	NOUN
fuelectenerg-4161	188	5	-1	-1	PUNCT
fuelectenerg-4161	188	6	(	(	PUNCT
fuelectenerg-4161	188	7	16	16	NUM
fuelectenerg-4161	188	8	)	)	PUNCT
fuelectenerg-4161	188	9	prb	prb	NOUN
fuelectenerg-4161	188	10	=	=	SYM
fuelectenerg-4161	188	11	psakr	psakr	NOUN
fuelectenerg-4161	188	12	-1	-1	PUNCT
fuelectenerg-4161	189	1	=	=	SYM
fuelectenerg-4161	189	2	ks	ks	PROPN
fuelectenerg-4161	189	3	-1	-1	INTJ
fuelectenerg-4161	189	4	gskr	gskr	PROPN
fuelectenerg-4161	189	5	-1	-1	PROPN
fuelectenerg-4161	189	6	(	(	PUNCT
fuelectenerg-4161	189	7	17	17	NUM
fuelectenerg-4161	189	8	)	)	PUNCT
fuelectenerg-4161	189	9	fig	fig	NOUN
fuelectenerg-4161	189	10	.	.	PUNCT
fuelectenerg-4161	190	1	5	5	NUM
fuelectenerg-4161	190	2	computational	computational	ADJ
fuelectenerg-4161	190	3	process	process	NOUN
fuelectenerg-4161	190	4	for	for	ADP
fuelectenerg-4161	190	5	generator	generator	NOUN
fuelectenerg-4161	190	6	point	point	NOUN
fuelectenerg-4161	190	7	138	138	NUM
fuelectenerg-4161	190	8	v.	v.	ADP
fuelectenerg-4161	190	9	kamalakannan	kamalakannan	PROPN
fuelectenerg-4161	190	10	,	,	PUNCT
fuelectenerg-4161	190	11	s.	s.	PROPN
fuelectenerg-4161	190	12	tamilselvan	tamilselvan	PROPN
fuelectenerg-4161	190	13	these	these	PRON
fuelectenerg-4161	190	14	received	receive	VERB
fuelectenerg-4161	190	15	keys	key	NOUN
fuelectenerg-4161	190	16	are	be	AUX
fuelectenerg-4161	190	17	multiplied	multiply	VERB
fuelectenerg-4161	190	18	again	again	ADV
fuelectenerg-4161	190	19	by	by	ADP
fuelectenerg-4161	190	20	the	the	DET
fuelectenerg-4161	190	21	sender	sender	NOUN
fuelectenerg-4161	190	22	and	and	CCONJ
fuelectenerg-4161	190	23	the	the	DET
fuelectenerg-4161	190	24	receiver	receiver	NOUN
fuelectenerg-4161	190	25	to	to	PART
fuelectenerg-4161	190	26	generate	generate	VERB
fuelectenerg-4161	190	27	psc	psc	PROPN
fuelectenerg-4161	190	28	and	and	CCONJ
fuelectenerg-4161	190	29	prc	prc	PROPN
fuelectenerg-4161	190	30	as	as	SCONJ
fuelectenerg-4161	190	31	specified	specify	VERB
fuelectenerg-4161	190	32	in	in	ADP
fuelectenerg-4161	190	33	eq	eq	ADP
fuelectenerg-4161	190	34	.	.	PUNCT
fuelectenerg-4161	191	1	(	(	PUNCT
fuelectenerg-4161	191	2	18	18	NUM
fuelectenerg-4161	191	3	)	)	PUNCT
fuelectenerg-4161	191	4	and	and	CCONJ
fuelectenerg-4161	191	5	eq	eq	NOUN
fuelectenerg-4161	191	6	.	.	PUNCT
fuelectenerg-4161	192	1	(	(	PUNCT
fuelectenerg-4161	192	2	19	19	NUM
fuelectenerg-4161	192	3	)	)	PUNCT
fuelectenerg-4161	192	4	psc	psc	NOUN
fuelectenerg-4161	192	5	=	=	PROPN
fuelectenerg-4161	192	6	prbks	prbks	NOUN
fuelectenerg-4161	192	7	=	=	NOUN
fuelectenerg-4161	192	8	ks	ks	PROPN
fuelectenerg-4161	192	9	-1	-1	PUNCT
fuelectenerg-4161	192	10	gskr	gskr	PROPN
fuelectenerg-4161	192	11	-1	-1	PROPN
fuelectenerg-4161	193	1	ks	ks	PROPN
fuelectenerg-4161	193	2	=	=	NOUN
fuelectenerg-4161	193	3	gskr	gskr	PROPN
fuelectenerg-4161	193	4	-1	-1	PUNCT
fuelectenerg-4161	194	1	(	(	PUNCT
fuelectenerg-4161	194	2	18	18	NUM
fuelectenerg-4161	194	3	)	)	PUNCT
fuelectenerg-4161	194	4	prc	prc	PROPN
fuelectenerg-4161	194	5	=	=	NOUN
fuelectenerg-4161	194	6	psbkr	psbkr	NOUN
fuelectenerg-4161	194	7	=	=	SYM
fuelectenerg-4161	194	8	kr	kr	NOUN
fuelectenerg-4161	194	9	-1	-1	PROPN
fuelectenerg-4161	194	10	grks	grk	NOUN
fuelectenerg-4161	194	11	-1	-1	ADP
fuelectenerg-4161	194	12	kr=	kr=	PROPN
fuelectenerg-4161	194	13	grks	grks	PROPN
fuelectenerg-4161	194	14	-1	-1	PUNCT
fuelectenerg-4161	194	15	(	(	PUNCT
fuelectenerg-4161	194	16	19	19	NUM
fuelectenerg-4161	194	17	)	)	PUNCT
fuelectenerg-4161	194	18	when	when	SCONJ
fuelectenerg-4161	194	19	psc	psc	PROPN
fuelectenerg-4161	194	20	and	and	CCONJ
fuelectenerg-4161	194	21	prc	prc	PROPN
fuelectenerg-4161	194	22	received	receive	VERB
fuelectenerg-4161	194	23	by	by	ADP
fuelectenerg-4161	194	24	the	the	DET
fuelectenerg-4161	194	25	individual	individual	ADJ
fuelectenerg-4161	194	26	sender	sender	NOUN
fuelectenerg-4161	194	27	and	and	CCONJ
fuelectenerg-4161	194	28	receiver	receiver	ADV
fuelectenerg-4161	194	29	,	,	PUNCT
fuelectenerg-4161	194	30	they	they	PRON
fuelectenerg-4161	194	31	are	be	AUX
fuelectenerg-4161	194	32	multiplied	multiply	VERB
fuelectenerg-4161	194	33	with	with	ADP
fuelectenerg-4161	194	34	ks	ks	NOUN
fuelectenerg-4161	194	35	and	and	CCONJ
fuelectenerg-4161	194	36	kr	kr	PROPN
fuelectenerg-4161	194	37	to	to	PART
fuelectenerg-4161	194	38	obtain	obtain	VERB
fuelectenerg-4161	194	39	gr	gr	NOUN
fuelectenerg-4161	194	40	and	and	CCONJ
fuelectenerg-4161	194	41	gs	gs	NOUN
fuelectenerg-4161	194	42	.	.	PUNCT
fuelectenerg-4161	195	1	the	the	DET
fuelectenerg-4161	195	2	sender	sender	NOUN
fuelectenerg-4161	195	3	computes	compute	VERB
fuelectenerg-4161	195	4	the	the	DET
fuelectenerg-4161	195	5	receiver‟s	receiver‟s	PROPN
fuelectenerg-4161	195	6	generator	generator	NOUN
fuelectenerg-4161	195	7	point	point	NOUN
fuelectenerg-4161	195	8	in	in	ADP
fuelectenerg-4161	195	9	eq	eq	ADP
fuelectenerg-4161	195	10	.	.	PUNCT
fuelectenerg-4161	196	1	(	(	PUNCT
fuelectenerg-4161	196	2	20	20	NUM
fuelectenerg-4161	196	3	)	)	PUNCT
fuelectenerg-4161	196	4	as	as	ADP
fuelectenerg-4161	196	5	prc*ks	prc*ks	PROPN
fuelectenerg-4161	196	6	=	=	NOUN
fuelectenerg-4161	196	7	ks	ks	NOUN
fuelectenerg-4161	196	8	-1	-1	NOUN
fuelectenerg-4161	196	9	*	*	PUNCT
fuelectenerg-4161	196	10	gr*ks	gr*ks	PROPN
fuelectenerg-4161	196	11	=	=	ADJ
fuelectenerg-4161	196	12	gr	gr	X
fuelectenerg-4161	196	13	(	(	PUNCT
fuelectenerg-4161	196	14	20	20	NUM
fuelectenerg-4161	196	15	)	)	PUNCT
fuelectenerg-4161	196	16	the	the	DET
fuelectenerg-4161	196	17	receiver	receiver	NOUN
fuelectenerg-4161	196	18	computes	compute	VERB
fuelectenerg-4161	196	19	the	the	DET
fuelectenerg-4161	196	20	sender‟s	sender‟s	NOUN
fuelectenerg-4161	196	21	generator	generator	NOUN
fuelectenerg-4161	196	22	in	in	ADP
fuelectenerg-4161	196	23	eq	eq	PROPN
fuelectenerg-4161	196	24	.	.	PUNCT
fuelectenerg-4161	197	1	(	(	PUNCT
fuelectenerg-4161	197	2	21	21	NUM
fuelectenerg-4161	197	3	)	)	PUNCT
fuelectenerg-4161	197	4	as	as	ADP
fuelectenerg-4161	197	5	psc*kr	psc*kr	PROPN
fuelectenerg-4161	197	6	=	=	NOUN
fuelectenerg-4161	197	7	kr	kr	NOUN
fuelectenerg-4161	197	8	-1	-1	NOUN
fuelectenerg-4161	197	9	*	*	PUNCT
fuelectenerg-4161	197	10	gs*kr	gs*kr	NOUN
fuelectenerg-4161	197	11	=	=	ADJ
fuelectenerg-4161	197	12	gs	gs	X
fuelectenerg-4161	197	13	(	(	PUNCT
fuelectenerg-4161	197	14	21	21	NUM
fuelectenerg-4161	197	15	)	)	PUNCT
fuelectenerg-4161	197	16	these	these	DET
fuelectenerg-4161	197	17	generator	generator	NOUN
fuelectenerg-4161	197	18	points	point	VERB
fuelectenerg-4161	197	19	gs	gs	INTJ
fuelectenerg-4161	197	20	and	and	CCONJ
fuelectenerg-4161	197	21	gr	gr	PROPN
fuelectenerg-4161	197	22	are	be	AUX
fuelectenerg-4161	197	23	added	add	VERB
fuelectenerg-4161	197	24	to	to	PART
fuelectenerg-4161	197	25	generate	generate	VERB
fuelectenerg-4161	197	26	a	a	DET
fuelectenerg-4161	197	27	common	common	ADJ
fuelectenerg-4161	197	28	generator	generator	NOUN
fuelectenerg-4161	197	29	points	point	NOUN
fuelectenerg-4161	197	30	for	for	ADP
fuelectenerg-4161	197	31	the	the	DET
fuelectenerg-4161	197	32	sender	sender	NOUN
fuelectenerg-4161	197	33	and	and	CCONJ
fuelectenerg-4161	197	34	receiver	receiver	NOUN
fuelectenerg-4161	197	35	given	give	VERB
fuelectenerg-4161	197	36	in	in	ADP
fuelectenerg-4161	197	37	eq	eq	ADP
fuelectenerg-4161	197	38	.	.	PUNCT
fuelectenerg-4161	198	1	(	(	PUNCT
fuelectenerg-4161	198	2	22	22	NUM
fuelectenerg-4161	198	3	)	)	PUNCT
fuelectenerg-4161	198	4	as	as	ADP
fuelectenerg-4161	198	5	g	g	PROPN
fuelectenerg-4161	198	6	=	=	NOUN
fuelectenerg-4161	198	7	gs	gs	PROPN
fuelectenerg-4161	199	1	+	+	X
fuelectenerg-4161	199	2	gr	gr	PROPN
fuelectenerg-4161	199	3	(	(	PUNCT
fuelectenerg-4161	199	4	22	22	NUM
fuelectenerg-4161	199	5	)	)	PUNCT
fuelectenerg-4161	199	6	hence	hence	ADV
fuelectenerg-4161	199	7	the	the	DET
fuelectenerg-4161	199	8	sender	sender	NOUN
fuelectenerg-4161	199	9	and	and	CCONJ
fuelectenerg-4161	199	10	receiver	receiver	ADJ
fuelectenerg-4161	199	11	exchanges	exchange	NOUN
fuelectenerg-4161	199	12	information	information	NOUN
fuelectenerg-4161	199	13	between	between	ADP
fuelectenerg-4161	199	14	them	they	PRON
fuelectenerg-4161	199	15	and	and	CCONJ
fuelectenerg-4161	199	16	generated	generate	VERB
fuelectenerg-4161	199	17	using	use	VERB
fuelectenerg-4161	199	18	„	„	PUNCT
fuelectenerg-4161	199	19	g‟	g‟	NUM
fuelectenerg-4161	199	20	and	and	CCONJ
fuelectenerg-4161	199	21	computing	compute	VERB
fuelectenerg-4161	199	22	p	p	NOUN
fuelectenerg-4161	199	23	,	,	PUNCT
fuelectenerg-4161	199	24	2p	2p	NUM
fuelectenerg-4161	199	25	…	…	PUNCT
fuelectenerg-4161	199	26	..	..	PUNCT
fuelectenerg-4161	200	1	kp	kp	PROPN
fuelectenerg-4161	200	2	.	.	PROPN
fuelectenerg-4161	200	3	5.2	5.2	NUM
fuelectenerg-4161	200	4	authorization	authorization	NOUN
fuelectenerg-4161	200	5	stage	stage	NOUN
fuelectenerg-4161	200	6	let	let	VERB
fuelectenerg-4161	200	7	us	we	PRON
fuelectenerg-4161	200	8	consider	consider	VERB
fuelectenerg-4161	200	9	two	two	NUM
fuelectenerg-4161	200	10	nodes	node	NOUN
fuelectenerg-4161	200	11	in	in	ADP
fuelectenerg-4161	200	12	the	the	DET
fuelectenerg-4161	200	13	wsn	wsn	NOUN
fuelectenerg-4161	200	14	.	.	PUNCT
fuelectenerg-4161	201	1	the	the	DET
fuelectenerg-4161	201	2	public	public	ADJ
fuelectenerg-4161	201	3	key	key	NOUN
fuelectenerg-4161	201	4	and	and	CCONJ
fuelectenerg-4161	201	5	the	the	DET
fuelectenerg-4161	201	6	private	private	ADJ
fuelectenerg-4161	201	7	keys	key	NOUN
fuelectenerg-4161	201	8	of	of	ADP
fuelectenerg-4161	201	9	the	the	DET
fuelectenerg-4161	201	10	transmitter	transmitter	NOUN
fuelectenerg-4161	201	11	are	be	AUX
fuelectenerg-4161	201	12	ps	ps	NOUN
fuelectenerg-4161	201	13	and	and	CCONJ
fuelectenerg-4161	201	14	ks	ks	NOUN
fuelectenerg-4161	201	15	,	,	PUNCT
fuelectenerg-4161	201	16	whereas	whereas	SCONJ
fuelectenerg-4161	201	17	for	for	ADP
fuelectenerg-4161	201	18	receiver	receiver	NOUN
fuelectenerg-4161	201	19	it	it	PRON
fuelectenerg-4161	201	20	is	be	AUX
fuelectenerg-4161	201	21	pr	pr	NOUN
fuelectenerg-4161	201	22	and	and	CCONJ
fuelectenerg-4161	201	23	kr	kr	PROPN
fuelectenerg-4161	201	24	.	.	PUNCT
fuelectenerg-4161	202	1	the	the	DET
fuelectenerg-4161	202	2	key	key	NOUN
fuelectenerg-4161	202	3	has	have	VERB
fuelectenerg-4161	202	4	to	to	PART
fuelectenerg-4161	202	5	be	be	AUX
fuelectenerg-4161	202	6	generated	generate	VERB
fuelectenerg-4161	202	7	by	by	ADP
fuelectenerg-4161	202	8	the	the	DET
fuelectenerg-4161	202	9	process	process	NOUN
fuelectenerg-4161	202	10	shown	show	VERB
fuelectenerg-4161	202	11	in	in	ADP
fuelectenerg-4161	202	12	fig	fig	NOUN
fuelectenerg-4161	202	13	.	.	PUNCT
fuelectenerg-4161	203	1	6	6	NUM
fuelectenerg-4161	203	2	for	for	ADP
fuelectenerg-4161	203	3	every	every	DET
fuelectenerg-4161	203	4	session	session	NOUN
fuelectenerg-4161	203	5	of	of	ADP
fuelectenerg-4161	203	6	transmission	transmission	NOUN
fuelectenerg-4161	203	7	between	between	ADP
fuelectenerg-4161	203	8	the	the	DET
fuelectenerg-4161	203	9	sender	sender	NOUN
fuelectenerg-4161	203	10	and	and	CCONJ
fuelectenerg-4161	203	11	receiver	receiver	NOUN
fuelectenerg-4161	203	12	.	.	PUNCT
fuelectenerg-4161	204	1	thus	thus	ADV
fuelectenerg-4161	204	2	authorization	authorization	NOUN
fuelectenerg-4161	204	3	has	have	VERB
fuelectenerg-4161	204	4	to	to	PART
fuelectenerg-4161	204	5	be	be	AUX
fuelectenerg-4161	204	6	provided	provide	VERB
fuelectenerg-4161	204	7	for	for	ADP
fuelectenerg-4161	204	8	each	each	DET
fuelectenerg-4161	204	9	transmission	transmission	NOUN
fuelectenerg-4161	204	10	.	.	PUNCT
fuelectenerg-4161	205	1	fig	fig	NOUN
fuelectenerg-4161	205	2	.	.	PUNCT
fuelectenerg-4161	206	1	6	6	NUM
fuelectenerg-4161	206	2	computational	computational	ADJ
fuelectenerg-4161	206	3	process	process	NOUN
fuelectenerg-4161	206	4	for	for	ADP
fuelectenerg-4161	206	5	key	key	ADJ
fuelectenerg-4161	206	6	both	both	CCONJ
fuelectenerg-4161	206	7	the	the	DET
fuelectenerg-4161	206	8	public	public	NOUN
fuelectenerg-4161	206	9	keys	key	VERB
fuelectenerg-4161	206	10	psr	psr	NOUN
fuelectenerg-4161	206	11	and	and	CCONJ
fuelectenerg-4161	206	12	prs	prs	NOUN
fuelectenerg-4161	206	13	are	be	AUX
fuelectenerg-4161	206	14	exchanged	exchange	VERB
fuelectenerg-4161	206	15	after	after	ADP
fuelectenerg-4161	206	16	multiplying	multiply	VERB
fuelectenerg-4161	206	17	it	it	PRON
fuelectenerg-4161	206	18	with	with	ADP
fuelectenerg-4161	206	19	private	private	ADJ
fuelectenerg-4161	206	20	keys	key	NOUN
fuelectenerg-4161	206	21	.	.	PUNCT
fuelectenerg-4161	207	1	the	the	DET
fuelectenerg-4161	207	2	key	key	NOUN
fuelectenerg-4161	207	3	transmitted	transmit	VERB
fuelectenerg-4161	207	4	to	to	ADP
fuelectenerg-4161	207	5	the	the	DET
fuelectenerg-4161	207	6	receiver	receiver	NOUN
fuelectenerg-4161	207	7	is	be	AUX
fuelectenerg-4161	207	8	specified	specify	VERB
fuelectenerg-4161	207	9	in	in	ADP
fuelectenerg-4161	207	10	the	the	DET
fuelectenerg-4161	207	11	eq	eq	NOUN
fuelectenerg-4161	207	12	.	.	PUNCT
fuelectenerg-4161	208	1	(	(	PUNCT
fuelectenerg-4161	208	2	23	23	NUM
fuelectenerg-4161	208	3	)	)	PUNCT
fuelectenerg-4161	208	4	,	,	PUNCT
fuelectenerg-4161	208	5	and	and	CCONJ
fuelectenerg-4161	208	6	the	the	DET
fuelectenerg-4161	208	7	key	key	NOUN
fuelectenerg-4161	208	8	received	receive	VERB
fuelectenerg-4161	208	9	by	by	ADP
fuelectenerg-4161	208	10	the	the	DET
fuelectenerg-4161	208	11	sender	sender	NOUN
fuelectenerg-4161	208	12	is	be	AUX
fuelectenerg-4161	208	13	specified	specify	VERB
fuelectenerg-4161	208	14	in	in	ADP
fuelectenerg-4161	208	15	the	the	DET
fuelectenerg-4161	208	16	eq	eq	NOUN
fuelectenerg-4161	208	17	.	.	PUNCT
fuelectenerg-4161	209	1	(	(	PUNCT
fuelectenerg-4161	209	2	24	24	NUM
fuelectenerg-4161	209	3	)	)	PUNCT
fuelectenerg-4161	209	4	fpga	fpga	NOUN
fuelectenerg-4161	209	5	implementation	implementation	NOUN
fuelectenerg-4161	209	6	of	of	ADP
fuelectenerg-4161	209	7	modified	modify	VERB
fuelectenerg-4161	209	8	elliptic	elliptic	ADJ
fuelectenerg-4161	209	9	curve	curve	NOUN
fuelectenerg-4161	209	10	digital	digital	ADJ
fuelectenerg-4161	209	11	signature	signature	NOUN
fuelectenerg-4161	209	12	algorithm	algorithm	NOUN
fuelectenerg-4161	209	13	139	139	NUM
fuelectenerg-4161	209	14	psr	psr	NOUN
fuelectenerg-4161	209	15	=	=	NOUN
fuelectenerg-4161	209	16	prks	prk	NOUN
fuelectenerg-4161	209	17	(	(	PUNCT
fuelectenerg-4161	209	18	23	23	NUM
fuelectenerg-4161	209	19	)	)	PUNCT
fuelectenerg-4161	209	20	prs	prs	NOUN
fuelectenerg-4161	209	21	=	=	SYM
fuelectenerg-4161	209	22	pskr	pskr	X
fuelectenerg-4161	209	23	(	(	PUNCT
fuelectenerg-4161	209	24	24	24	NUM
fuelectenerg-4161	209	25	)	)	PUNCT
fuelectenerg-4161	209	26	the	the	DET
fuelectenerg-4161	209	27	keys	key	NOUN
fuelectenerg-4161	209	28	of	of	ADP
fuelectenerg-4161	209	29	the	the	DET
fuelectenerg-4161	209	30	sender	sender	NOUN
fuelectenerg-4161	209	31	and	and	CCONJ
fuelectenerg-4161	209	32	the	the	DET
fuelectenerg-4161	209	33	receiver	receiver	NOUN
fuelectenerg-4161	209	34	are	be	AUX
fuelectenerg-4161	209	35	multiplied	multiply	VERB
fuelectenerg-4161	209	36	again	again	ADV
fuelectenerg-4161	209	37	to	to	PART
fuelectenerg-4161	209	38	generate	generate	VERB
fuelectenerg-4161	209	39	ksr	ksr	PROPN
fuelectenerg-4161	209	40	and	and	CCONJ
fuelectenerg-4161	209	41	krs	krs	PROPN
fuelectenerg-4161	209	42	given	give	VERB
fuelectenerg-4161	209	43	in	in	ADP
fuelectenerg-4161	209	44	eq	eq	ADP
fuelectenerg-4161	209	45	.	.	PUNCT
fuelectenerg-4161	210	1	(	(	PUNCT
fuelectenerg-4161	210	2	25	25	NUM
fuelectenerg-4161	210	3	)	)	PUNCT
fuelectenerg-4161	210	4	and	and	CCONJ
fuelectenerg-4161	210	5	eq	eq	NOUN
fuelectenerg-4161	210	6	.	.	PUNCT
fuelectenerg-4161	211	1	(	(	PUNCT
fuelectenerg-4161	211	2	26	26	NUM
fuelectenerg-4161	211	3	)	)	PUNCT
fuelectenerg-4161	211	4	as	as	ADP
fuelectenerg-4161	211	5	ksr	ksr	PROPN
fuelectenerg-4161	211	6	=	=	SYM
fuelectenerg-4161	211	7	psrprs	psrprs	PROPN
fuelectenerg-4161	211	8	=	=	SYM
fuelectenerg-4161	211	9	prks	prk	NOUN
fuelectenerg-4161	211	10	pskr	pskr	NOUN
fuelectenerg-4161	211	11	(	(	PUNCT
fuelectenerg-4161	211	12	25	25	NUM
fuelectenerg-4161	211	13	)	)	PUNCT
fuelectenerg-4161	211	14	krs	krs	NOUN
fuelectenerg-4161	211	15	=	=	PUNCT
fuelectenerg-4161	211	16	prspsr	prspsr	NOUN
fuelectenerg-4161	211	17	=	=	SYM
fuelectenerg-4161	211	18	prks	prk	NOUN
fuelectenerg-4161	211	19	pskr	pskr	NOUN
fuelectenerg-4161	211	20	(	(	PUNCT
fuelectenerg-4161	211	21	26	26	NUM
fuelectenerg-4161	211	22	)	)	PUNCT
fuelectenerg-4161	211	23	when	when	SCONJ
fuelectenerg-4161	211	24	psr	psr	NOUN
fuelectenerg-4161	211	25	and	and	CCONJ
fuelectenerg-4161	211	26	prs	prs	NOUN
fuelectenerg-4161	211	27	received	receive	VERB
fuelectenerg-4161	211	28	by	by	ADP
fuelectenerg-4161	211	29	the	the	DET
fuelectenerg-4161	211	30	individuals	individual	NOUN
fuelectenerg-4161	211	31	,	,	PUNCT
fuelectenerg-4161	211	32	the	the	DET
fuelectenerg-4161	211	33	key	key	ADJ
fuelectenerg-4161	211	34	ksr	ksr	PROPN
fuelectenerg-4161	211	35	and	and	CCONJ
fuelectenerg-4161	211	36	krs	krs	PROPN
fuelectenerg-4161	211	37	are	be	AUX
fuelectenerg-4161	211	38	generated	generate	VERB
fuelectenerg-4161	211	39	by	by	ADP
fuelectenerg-4161	211	40	the	the	DET
fuelectenerg-4161	211	41	sender	sender	NOUN
fuelectenerg-4161	211	42	and	and	CCONJ
fuelectenerg-4161	211	43	receiver	receiver	NOUN
fuelectenerg-4161	211	44	individually	individually	ADV
fuelectenerg-4161	211	45	which	which	PRON
fuelectenerg-4161	211	46	are	be	AUX
fuelectenerg-4161	211	47	equal	equal	ADJ
fuelectenerg-4161	211	48	,	,	PUNCT
fuelectenerg-4161	211	49	thus	thus	ADV
fuelectenerg-4161	211	50	commonly	commonly	ADV
fuelectenerg-4161	211	51	referred	refer	VERB
fuelectenerg-4161	211	52	as	as	ADP
fuelectenerg-4161	211	53	key	key	ADJ
fuelectenerg-4161	211	54	„	„	PUNCT
fuelectenerg-4161	211	55	k‟	k‟	X
fuelectenerg-4161	211	56	in	in	ADP
fuelectenerg-4161	211	57	the	the	DET
fuelectenerg-4161	211	58	implementation	implementation	NOUN
fuelectenerg-4161	211	59	of	of	ADP
fuelectenerg-4161	211	60	ecdsa	ecdsa	PROPN
fuelectenerg-4161	211	61	.	.	PUNCT
fuelectenerg-4161	212	1	the	the	DET
fuelectenerg-4161	212	2	sender	sender	NOUN
fuelectenerg-4161	212	3	and	and	CCONJ
fuelectenerg-4161	212	4	receiver	receiver	NOUN
fuelectenerg-4161	212	5	in	in	ADP
fuelectenerg-4161	212	6	the	the	DET
fuelectenerg-4161	212	7	wsn	wsn	NOUN
fuelectenerg-4161	212	8	have	have	VERB
fuelectenerg-4161	212	9	individual	individual	ADJ
fuelectenerg-4161	212	10	generator	generator	NOUN
fuelectenerg-4161	212	11	points	point	NOUN
fuelectenerg-4161	212	12	,	,	PUNCT
fuelectenerg-4161	212	13	gs	gs	NOUN
fuelectenerg-4161	212	14	and	and	CCONJ
fuelectenerg-4161	212	15	gr	gr	X
fuelectenerg-4161	212	16	with	with	ADP
fuelectenerg-4161	212	17	their	their	PRON
fuelectenerg-4161	212	18	unique	unique	ADJ
fuelectenerg-4161	212	19	private	private	ADJ
fuelectenerg-4161	212	20	keys	key	NOUN
fuelectenerg-4161	212	21	,	,	PUNCT
fuelectenerg-4161	212	22	ks	ks	NOUN
fuelectenerg-4161	212	23	and	and	CCONJ
fuelectenerg-4161	212	24	kr	kr	PROPN
fuelectenerg-4161	212	25	.	.	PUNCT
fuelectenerg-4161	213	1	after	after	ADP
fuelectenerg-4161	213	2	initializing	initialize	VERB
fuelectenerg-4161	213	3	the	the	DET
fuelectenerg-4161	213	4	keys	key	NOUN
fuelectenerg-4161	213	5	generation	generation	NOUN
fuelectenerg-4161	213	6	process	process	NOUN
fuelectenerg-4161	213	7	,	,	PUNCT
fuelectenerg-4161	213	8	both	both	DET
fuelectenerg-4161	213	9	devices	device	NOUN
fuelectenerg-4161	213	10	exchange	exchange	VERB
fuelectenerg-4161	213	11	the	the	DET
fuelectenerg-4161	213	12	generator	generator	NOUN
fuelectenerg-4161	213	13	points	point	VERB
fuelectenerg-4161	213	14	gs	gs	INTJ
fuelectenerg-4161	213	15	and	and	CCONJ
fuelectenerg-4161	213	16	gr	gr	PROPN
fuelectenerg-4161	213	17	and	and	CCONJ
fuelectenerg-4161	213	18	generate	generate	VERB
fuelectenerg-4161	213	19	a	a	DET
fuelectenerg-4161	213	20	common	common	ADJ
fuelectenerg-4161	213	21	generator	generator	NOUN
fuelectenerg-4161	213	22	point	point	NOUN
fuelectenerg-4161	213	23	by	by	ADP
fuelectenerg-4161	213	24	the	the	DET
fuelectenerg-4161	213	25	initialization	initialization	NOUN
fuelectenerg-4161	213	26	process	process	NOUN
fuelectenerg-4161	213	27	explained	explain	VERB
fuelectenerg-4161	213	28	in	in	ADP
fuelectenerg-4161	213	29	subsection	subsection	NOUN
fuelectenerg-4161	213	30	5.1	5.1	NUM
fuelectenerg-4161	213	31	.	.	PUNCT
fuelectenerg-4161	214	1	hence	hence	ADV
fuelectenerg-4161	214	2	the	the	DET
fuelectenerg-4161	214	3	sender	sender	NOUN
fuelectenerg-4161	214	4	and	and	CCONJ
fuelectenerg-4161	214	5	receiver	receiver	ADJ
fuelectenerg-4161	214	6	exchange	exchange	NOUN
fuelectenerg-4161	214	7	information	information	NOUN
fuelectenerg-4161	214	8	between	between	ADP
fuelectenerg-4161	214	9	them	they	PRON
fuelectenerg-4161	214	10	by	by	ADP
fuelectenerg-4161	214	11	considering	consider	VERB
fuelectenerg-4161	214	12	common	common	ADJ
fuelectenerg-4161	214	13	generator	generator	NOUN
fuelectenerg-4161	214	14	point	point	NOUN
fuelectenerg-4161	214	15	‘	'	PUNCT
fuelectenerg-4161	214	16	g	g	NOUN
fuelectenerg-4161	214	17	’	'	PUNCT
fuelectenerg-4161	214	18	and	and	CCONJ
fuelectenerg-4161	214	19	computing	compute	VERB
fuelectenerg-4161	214	20	p	p	NOUN
fuelectenerg-4161	214	21	,	,	PUNCT
fuelectenerg-4161	214	22	2p	2p	NUM
fuelectenerg-4161	214	23	,	,	PUNCT
fuelectenerg-4161	214	24	3p	3p	NUM
fuelectenerg-4161	214	25	…	…	SYM
fuelectenerg-4161	214	26	..	..	PUNCT
fuelectenerg-4161	215	1	kp	kp	PROPN
fuelectenerg-4161	215	2	.	.	PUNCT
fuelectenerg-4161	216	1	the	the	DET
fuelectenerg-4161	216	2	sensor	sensor	NOUN
fuelectenerg-4161	216	3	nodes	node	NOUN
fuelectenerg-4161	216	4	must	must	AUX
fuelectenerg-4161	216	5	securely	securely	ADV
fuelectenerg-4161	216	6	share	share	VERB
fuelectenerg-4161	216	7	a	a	DET
fuelectenerg-4161	216	8	key	key	NOUN
fuelectenerg-4161	216	9	before	before	ADP
fuelectenerg-4161	216	10	encryption	encryption	NOUN
fuelectenerg-4161	216	11	.	.	PUNCT
fuelectenerg-4161	217	1	the	the	DET
fuelectenerg-4161	217	2	shared	share	VERB
fuelectenerg-4161	217	3	secret	secret	ADJ
fuelectenerg-4161	217	4	key	key	NOUN
fuelectenerg-4161	217	5	is	be	AUX
fuelectenerg-4161	217	6	generated	generate	VERB
fuelectenerg-4161	217	7	and	and	CCONJ
fuelectenerg-4161	217	8	refreshed	refresh	VERB
fuelectenerg-4161	217	9	between	between	ADP
fuelectenerg-4161	217	10	the	the	DET
fuelectenerg-4161	217	11	sender	sender	NOUN
fuelectenerg-4161	217	12	and	and	CCONJ
fuelectenerg-4161	217	13	receiver	receiver	NOUN
fuelectenerg-4161	217	14	.	.	PUNCT
fuelectenerg-4161	218	1	the	the	DET
fuelectenerg-4161	218	2	public	public	ADJ
fuelectenerg-4161	218	3	key	key	NOUN
fuelectenerg-4161	218	4	of	of	ADP
fuelectenerg-4161	218	5	sender	sender	NOUN
fuelectenerg-4161	218	6	and	and	CCONJ
fuelectenerg-4161	218	7	receiver	receiver	NOUN
fuelectenerg-4161	218	8	are	be	AUX
fuelectenerg-4161	218	9	ps	ps	NOUN
fuelectenerg-4161	218	10	and	and	CCONJ
fuelectenerg-4161	218	11	pr	pr	NOUN
fuelectenerg-4161	218	12	.	.	PUNCT
fuelectenerg-4161	219	1	are	be	AUX
fuelectenerg-4161	219	2	exchanged	exchange	VERB
fuelectenerg-4161	219	3	using	use	VERB
fuelectenerg-4161	219	4	dhke	dhke	ADJ
fuelectenerg-4161	219	5	process	process	NOUN
fuelectenerg-4161	219	6	and	and	CCONJ
fuelectenerg-4161	219	7	a	a	DET
fuelectenerg-4161	219	8	key	key	NOUN
fuelectenerg-4161	219	9	is	be	AUX
fuelectenerg-4161	219	10	generated	generate	VERB
fuelectenerg-4161	219	11	by	by	ADP
fuelectenerg-4161	219	12	the	the	DET
fuelectenerg-4161	219	13	method	method	NOUN
fuelectenerg-4161	219	14	explained	explain	VERB
fuelectenerg-4161	219	15	in	in	ADP
fuelectenerg-4161	219	16	the	the	DET
fuelectenerg-4161	219	17	sub	sub	NOUN
fuelectenerg-4161	219	18	section	section	NOUN
fuelectenerg-4161	219	19	5.2	5.2	NUM
fuelectenerg-4161	219	20	.	.	PUNCT
fuelectenerg-4161	220	1	considering	consider	VERB
fuelectenerg-4161	220	2	the	the	DET
fuelectenerg-4161	220	3	generator	generator	NOUN
fuelectenerg-4161	220	4	point	point	NOUN
fuelectenerg-4161	220	5	‘	'	PUNCT
fuelectenerg-4161	220	6	g	g	NOUN
fuelectenerg-4161	220	7	’	'	PUNCT
fuelectenerg-4161	220	8	and	and	CCONJ
fuelectenerg-4161	220	9	key	key	ADJ
fuelectenerg-4161	220	10	‘	'	PUNCT
fuelectenerg-4161	220	11	k	k	NOUN
fuelectenerg-4161	220	12	’	'	PUNCT
fuelectenerg-4161	220	13	,	,	PUNCT
fuelectenerg-4161	220	14	scalar	scalar	ADJ
fuelectenerg-4161	220	15	multiplication	multiplication	NOUN
fuelectenerg-4161	220	16	is	be	AUX
fuelectenerg-4161	220	17	performed	perform	VERB
fuelectenerg-4161	220	18	to	to	PART
fuelectenerg-4161	220	19	compute	compute	VERB
fuelectenerg-4161	220	20	kg	kg	PROPN
fuelectenerg-4161	220	21	provided	provide	VERB
fuelectenerg-4161	220	22	in	in	ADP
fuelectenerg-4161	220	23	eq	eq	ADP
fuelectenerg-4161	220	24	.	.	PUNCT
fuelectenerg-4161	221	1	(	(	PUNCT
fuelectenerg-4161	221	2	27	27	NUM
fuelectenerg-4161	221	3	)	)	PUNCT
fuelectenerg-4161	221	4	,	,	PUNCT
fuelectenerg-4161	221	5	to	to	PART
fuelectenerg-4161	221	6	be	be	AUX
fuelectenerg-4161	221	7	applied	apply	VERB
fuelectenerg-4161	221	8	for	for	ADP
fuelectenerg-4161	221	9	signature	signature	NOUN
fuelectenerg-4161	221	10	generation	generation	NOUN
fuelectenerg-4161	221	11	and	and	CCONJ
fuelectenerg-4161	221	12	signature	signature	NOUN
fuelectenerg-4161	221	13	verification	verification	NOUN
fuelectenerg-4161	221	14	process	process	NOUN
fuelectenerg-4161	221	15	.	.	PUNCT
fuelectenerg-4161	222	1	(	(	PUNCT
fuelectenerg-4161	222	2	)	)	PUNCT
fuelectenerg-4161	222	3	(	(	PUNCT
fuelectenerg-4161	222	4	)	)	PUNCT
fuelectenerg-4161	222	5	(	(	PUNCT
fuelectenerg-4161	222	6	27	27	NUM
fuelectenerg-4161	222	7	)	)	PUNCT
fuelectenerg-4161	222	8	from	from	ADP
fuelectenerg-4161	222	9	the	the	DET
fuelectenerg-4161	222	10	initialization	initialization	NOUN
fuelectenerg-4161	222	11	and	and	CCONJ
fuelectenerg-4161	222	12	authorization	authorization	NOUN
fuelectenerg-4161	222	13	stage	stage	NOUN
fuelectenerg-4161	222	14	,	,	PUNCT
fuelectenerg-4161	222	15	the	the	DET
fuelectenerg-4161	222	16	values	value	NOUN
fuelectenerg-4161	222	17	of	of	ADP
fuelectenerg-4161	222	18	k	k	PROPN
fuelectenerg-4161	222	19	and	and	CCONJ
fuelectenerg-4161	222	20	g	g	PROPN
fuelectenerg-4161	222	21	are	be	AUX
fuelectenerg-4161	222	22	known	know	VERB
fuelectenerg-4161	222	23	.	.	PUNCT
fuelectenerg-4161	223	1	this	this	DET
fuelectenerg-4161	223	2	scheme	scheme	NOUN
fuelectenerg-4161	223	3	processes	process	NOUN
fuelectenerg-4161	223	4	are	be	AUX
fuelectenerg-4161	223	5	discussed	discuss	VERB
fuelectenerg-4161	223	6	in	in	ADP
fuelectenerg-4161	223	7	the	the	DET
fuelectenerg-4161	223	8	following	follow	VERB
fuelectenerg-4161	223	9	steps	step	NOUN
fuelectenerg-4161	223	10	.	.	PUNCT
fuelectenerg-4161	224	1	5.3	5.3	NUM
fuelectenerg-4161	224	2	.	.	PUNCT
fuelectenerg-4161	224	3	modified	modify	VERB
fuelectenerg-4161	224	4	ecdsa	ecdsa	PROPN
fuelectenerg-4161	224	5	signature	signature	NOUN
fuelectenerg-4161	224	6	generation	generation	NOUN
fuelectenerg-4161	224	7	to	to	PART
fuelectenerg-4161	224	8	generates	generate	VERB
fuelectenerg-4161	224	9	the	the	DET
fuelectenerg-4161	224	10	signature	signature	NOUN
fuelectenerg-4161	224	11	for	for	ADP
fuelectenerg-4161	224	12	message	message	NOUN
fuelectenerg-4161	224	13	m	m	VERB
fuelectenerg-4161	224	14	the	the	DET
fuelectenerg-4161	224	15	signer	signer	NOUN
fuelectenerg-4161	224	16	using	use	VERB
fuelectenerg-4161	224	17	the	the	DET
fuelectenerg-4161	224	18	values	value	NOUN
fuelectenerg-4161	224	19	of	of	ADP
fuelectenerg-4161	224	20	k	k	PROPN
fuelectenerg-4161	224	21	and	and	CCONJ
fuelectenerg-4161	224	22	g	g	NOUN
fuelectenerg-4161	224	23	by	by	ADP
fuelectenerg-4161	224	24	performing	perform	VERB
fuelectenerg-4161	224	25	the	the	DET
fuelectenerg-4161	224	26	following	follow	VERB
fuelectenerg-4161	224	27	steps	step	NOUN
fuelectenerg-4161	224	28	:	:	PUNCT
fuelectenerg-4161	224	29	step	step	NOUN
fuelectenerg-4161	224	30	1	1	NUM
fuelectenerg-4161	224	31	:	:	PUNCT
fuelectenerg-4161	224	32	calculate	calculate	NOUN
fuelectenerg-4161	224	33	h	h	NOUN
fuelectenerg-4161	225	1	=	=	PUNCT
fuelectenerg-4161	225	2	hash	hash	NOUN
fuelectenerg-4161	225	3	(	(	PUNCT
fuelectenerg-4161	225	4	m	m	NOUN
fuelectenerg-4161	225	5	)	)	PUNCT
fuelectenerg-4161	225	6	=	=	PRON
fuelectenerg-4161	225	7	sha-3	sha-3	NUM
fuelectenerg-4161	225	8	(	(	PUNCT
fuelectenerg-4161	225	9	m	m	NOUN
fuelectenerg-4161	225	10	)	)	PUNCT
fuelectenerg-4161	225	11	step	step	NOUN
fuelectenerg-4161	225	12	2	2	NUM
fuelectenerg-4161	225	13	:	:	PUNCT
fuelectenerg-4161	225	14	compute	compute	NOUN
fuelectenerg-4161	225	15	kg=	kg=	PROPN
fuelectenerg-4161	225	16	(	(	PUNCT
fuelectenerg-4161	225	17	x1	x1	PROPN
fuelectenerg-4161	225	18	,	,	PUNCT
fuelectenerg-4161	225	19	y1	y1	NOUN
fuelectenerg-4161	225	20	)	)	PUNCT
fuelectenerg-4161	225	21	step	step	NOUN
fuelectenerg-4161	225	22	4	4	NUM
fuelectenerg-4161	225	23	:	:	PUNCT
fuelectenerg-4161	225	24	compute	compute	NOUN
fuelectenerg-4161	225	25	r	r	NOUN
fuelectenerg-4161	225	26	=	=	SYM
fuelectenerg-4161	225	27	x1	x1	PROPN
fuelectenerg-4161	225	28	(	(	PUNCT
fuelectenerg-4161	225	29	mod	mod	PROPN
fuelectenerg-4161	225	30	p	p	NOUN
fuelectenerg-4161	225	31	)	)	PUNCT
fuelectenerg-4161	225	32	step	step	NOUN
fuelectenerg-4161	225	33	5	5	NUM
fuelectenerg-4161	225	34	:	:	PUNCT
fuelectenerg-4161	225	35	compute	compute	NOUN
fuelectenerg-4161	225	36	s	s	PART
fuelectenerg-4161	226	1	=	=	PUNCT
fuelectenerg-4161	227	1	(	(	PUNCT
fuelectenerg-4161	227	2	k	k	PROPN
fuelectenerg-4161	227	3	+	+	PUNCT
fuelectenerg-4161	227	4	(	(	PUNCT
fuelectenerg-4161	227	5	r	r	NOUN
fuelectenerg-4161	227	6	xnor	xnor	NOUN
fuelectenerg-4161	227	7	h	h	PROPN
fuelectenerg-4161	227	8	)	)	PUNCT
fuelectenerg-4161	227	9	)	)	PUNCT
fuelectenerg-4161	228	1	g	g	NOUN
fuelectenerg-4161	228	2	(	(	PUNCT
fuelectenerg-4161	228	3	mod	mod	PROPN
fuelectenerg-4161	228	4	p	p	X
fuelectenerg-4161	228	5	)	)	PUNCT
fuelectenerg-4161	228	6	.	.	PUNCT
fuelectenerg-4161	229	1	the	the	DET
fuelectenerg-4161	229	2	signature	signature	NOUN
fuelectenerg-4161	229	3	pair	pair	NOUN
fuelectenerg-4161	229	4	thus	thus	ADV
fuelectenerg-4161	229	5	generated	generate	VERB
fuelectenerg-4161	229	6	is	be	AUX
fuelectenerg-4161	229	7	(	(	PUNCT
fuelectenerg-4161	229	8	r	r	NOUN
fuelectenerg-4161	229	9	,	,	PUNCT
fuelectenerg-4161	229	10	s	s	NOUN
fuelectenerg-4161	229	11	)	)	PUNCT
fuelectenerg-4161	229	12	.	.	PUNCT
fuelectenerg-4161	230	1	5.4	5.4	NUM
fuelectenerg-4161	230	2	.	.	PUNCT
fuelectenerg-4161	230	3	modified	modify	VERB
fuelectenerg-4161	230	4	ecdsa	ecdsa	PROPN
fuelectenerg-4161	230	5	signature	signature	NOUN
fuelectenerg-4161	230	6	verification	verification	NOUN
fuelectenerg-4161	230	7	the	the	DET
fuelectenerg-4161	230	8	verifier	verifier	NOUN
fuelectenerg-4161	230	9	verifies	verify	VERB
fuelectenerg-4161	230	10	the	the	DET
fuelectenerg-4161	230	11	signature	signature	NOUN
fuelectenerg-4161	230	12	using	use	VERB
fuelectenerg-4161	230	13	k	k	PROPN
fuelectenerg-4161	230	14	and	and	CCONJ
fuelectenerg-4161	230	15	g	g	NOUN
fuelectenerg-4161	230	16	from	from	ADP
fuelectenerg-4161	230	17	the	the	DET
fuelectenerg-4161	230	18	initialization	initialization	NOUN
fuelectenerg-4161	230	19	and	and	CCONJ
fuelectenerg-4161	230	20	authorization	authorization	NOUN
fuelectenerg-4161	230	21	stage	stage	NOUN
fuelectenerg-4161	230	22	for	for	ADP
fuelectenerg-4161	230	23	message	message	NOUN
fuelectenerg-4161	230	24	m	m	VERB
fuelectenerg-4161	230	25	by	by	ADP
fuelectenerg-4161	230	26	performing	perform	VERB
fuelectenerg-4161	230	27	the	the	DET
fuelectenerg-4161	230	28	following	follow	VERB
fuelectenerg-4161	230	29	steps	step	NOUN
fuelectenerg-4161	230	30	:	:	PUNCT
fuelectenerg-4161	230	31	step	step	NOUN
fuelectenerg-4161	230	32	1	1	NUM
fuelectenerg-4161	230	33	:	:	PUNCT
fuelectenerg-4161	230	34	verify	verify	VERB
fuelectenerg-4161	230	35	that	that	SCONJ
fuelectenerg-4161	230	36	s	s	VERB
fuelectenerg-4161	230	37	is	be	AUX
fuelectenerg-4161	230	38	integers	integer	NOUN
fuelectenerg-4161	230	39	in	in	ADP
fuelectenerg-4161	230	40	[	[	X
fuelectenerg-4161	230	41	1	1	NUM
fuelectenerg-4161	230	42	,	,	PUNCT
fuelectenerg-4161	230	43	p	p	NOUN
fuelectenerg-4161	230	44	−	−	PROPN
fuelectenerg-4161	230	45	1	1	NUM
fuelectenerg-4161	230	46	]	]	PUNCT
fuelectenerg-4161	230	47	.	.	PUNCT
fuelectenerg-4161	231	1	if	if	SCONJ
fuelectenerg-4161	231	2	not	not	PART
fuelectenerg-4161	231	3	,	,	PUNCT
fuelectenerg-4161	231	4	the	the	DET
fuelectenerg-4161	231	5	signature	signature	NOUN
fuelectenerg-4161	231	6	is	be	AUX
fuelectenerg-4161	231	7	invalid	invalid	ADJ
fuelectenerg-4161	231	8	step	step	NOUN
fuelectenerg-4161	231	9	2	2	NUM
fuelectenerg-4161	231	10	:	:	PUNCT
fuelectenerg-4161	231	11	compute	compute	NOUN
fuelectenerg-4161	231	12	kg=	kg=	PROPN
fuelectenerg-4161	231	13	(	(	PUNCT
fuelectenerg-4161	231	14	x1	x1	PROPN
fuelectenerg-4161	231	15	,	,	PUNCT
fuelectenerg-4161	231	16	y1	y1	NOUN
fuelectenerg-4161	231	17	)	)	PUNCT
fuelectenerg-4161	231	18	step	step	NOUN
fuelectenerg-4161	231	19	3	3	NUM
fuelectenerg-4161	231	20	:	:	PUNCT
fuelectenerg-4161	231	21	compute	compute	NOUN
fuelectenerg-4161	231	22	r	r	NOUN
fuelectenerg-4161	231	23	=	=	SYM
fuelectenerg-4161	231	24	x1	x1	PROPN
fuelectenerg-4161	231	25	(	(	PUNCT
fuelectenerg-4161	231	26	mod	mod	PROPN
fuelectenerg-4161	231	27	p	p	NOUN
fuelectenerg-4161	231	28	)	)	PUNCT
fuelectenerg-4161	231	29	step	step	NOUN
fuelectenerg-4161	231	30	4	4	NUM
fuelectenerg-4161	231	31	:	:	PUNCT
fuelectenerg-4161	231	32	compute	compute	NOUN
fuelectenerg-4161	231	33	u	u	NOUN
fuelectenerg-4161	231	34	=	=	PUNCT
fuelectenerg-4161	231	35	(	(	PUNCT
fuelectenerg-4161	231	36	r	r	NOUN
fuelectenerg-4161	231	37	xnor	xnor	NOUN
fuelectenerg-4161	231	38	h	h	PROPN
fuelectenerg-4161	231	39	)	)	PUNCT
fuelectenerg-4161	231	40	mod	mod	NOUN
fuelectenerg-4161	231	41	(	(	PUNCT
fuelectenerg-4161	231	42	mod	mod	PROPN
fuelectenerg-4161	231	43	p	p	NOUN
fuelectenerg-4161	231	44	)	)	PUNCT
fuelectenerg-4161	231	45	step	step	NOUN
fuelectenerg-4161	231	46	5	5	NUM
fuelectenerg-4161	231	47	:	:	PUNCT
fuelectenerg-4161	231	48	(	(	PUNCT
fuelectenerg-4161	231	49	x2	x2	NOUN
fuelectenerg-4161	231	50	,	,	PUNCT
fuelectenerg-4161	231	51	y2	y2	NOUN
fuelectenerg-4161	231	52	)	)	PUNCT
fuelectenerg-4161	231	53	=	=	PUNCT
fuelectenerg-4161	232	1	(	(	PUNCT
fuelectenerg-4161	232	2	s	s	NOUN
fuelectenerg-4161	232	3	ug	ug	ADP
fuelectenerg-4161	232	4	)	)	PUNCT
fuelectenerg-4161	232	5	step	step	NOUN
fuelectenerg-4161	232	6	6	6	NUM
fuelectenerg-4161	232	7	:	:	PUNCT
fuelectenerg-4161	232	8	the	the	DET
fuelectenerg-4161	232	9	signature	signature	NOUN
fuelectenerg-4161	232	10	is	be	AUX
fuelectenerg-4161	232	11	valid	valid	ADJ
fuelectenerg-4161	232	12	if	if	SCONJ
fuelectenerg-4161	232	13	v	v	ADP
fuelectenerg-4161	232	14	=	=	SYM
fuelectenerg-4161	232	15	x2	x2	PROPN
fuelectenerg-4161	232	16	(	(	PUNCT
fuelectenerg-4161	232	17	mod	mod	PROPN
fuelectenerg-4161	232	18	p	p	X
fuelectenerg-4161	232	19	)	)	PUNCT
fuelectenerg-4161	232	20	=	=	SYM
fuelectenerg-4161	232	21	r	r	NOUN
fuelectenerg-4161	232	22	,	,	PUNCT
fuelectenerg-4161	232	23	invalid	invalid	ADJ
fuelectenerg-4161	232	24	otherwise	otherwise	ADV
fuelectenerg-4161	232	25	.	.	PUNCT
fuelectenerg-4161	233	1	140	140	NUM
fuelectenerg-4161	233	2	v.	v.	ADP
fuelectenerg-4161	233	3	kamalakannan	kamalakannan	PROPN
fuelectenerg-4161	233	4	,	,	PUNCT
fuelectenerg-4161	233	5	s.	s.	PROPN
fuelectenerg-4161	233	6	tamilselvan	tamilselvan	VERB
fuelectenerg-4161	233	7	5.5	5.5	NUM
fuelectenerg-4161	233	8	proof	proof	NOUN
fuelectenerg-4161	233	9	of	of	ADP
fuelectenerg-4161	233	10	modified	modify	VERB
fuelectenerg-4161	233	11	ecdsa	ecdsa	PROPN
fuelectenerg-4161	233	12	scheme	scheme	NOUN
fuelectenerg-4161	233	13	signature	signature	NOUN
fuelectenerg-4161	233	14	send	send	VERB
fuelectenerg-4161	233	15	by	by	ADP
fuelectenerg-4161	233	16	sender	sender	NOUN
fuelectenerg-4161	233	17	to	to	ADP
fuelectenerg-4161	233	18	receiver	receiver	NOUN
fuelectenerg-4161	233	19	is	be	AUX
fuelectenerg-4161	233	20	(	(	PUNCT
fuelectenerg-4161	233	21	r	r	NOUN
fuelectenerg-4161	233	22	,	,	PUNCT
fuelectenerg-4161	233	23	s	s	PART
fuelectenerg-4161	233	24	)	)	PUNCT
fuelectenerg-4161	233	25	and	and	CCONJ
fuelectenerg-4161	233	26	s	s	AUX
fuelectenerg-4161	233	27	can	can	AUX
fuelectenerg-4161	233	28	be	be	AUX
fuelectenerg-4161	233	29	generated	generate	VERB
fuelectenerg-4161	233	30	only	only	ADV
fuelectenerg-4161	233	31	by	by	ADP
fuelectenerg-4161	233	32	sender	sender	NOUN
fuelectenerg-4161	233	33	because	because	SCONJ
fuelectenerg-4161	233	34	of	of	ADP
fuelectenerg-4161	233	35	its	its	PRON
fuelectenerg-4161	233	36	private	private	ADJ
fuelectenerg-4161	233	37	key	key	NOUN
fuelectenerg-4161	233	38	.	.	PUNCT
fuelectenerg-4161	234	1	step	step	NOUN
fuelectenerg-4161	234	2	1	1	NUM
fuelectenerg-4161	234	3	:	:	PUNCT
fuelectenerg-4161	234	4	compute	compute	NOUN
fuelectenerg-4161	234	5	s	s	PART
fuelectenerg-4161	234	6	=	=	PUNCT
fuelectenerg-4161	234	7	(	(	PUNCT
fuelectenerg-4161	234	8	k	k	PROPN
fuelectenerg-4161	234	9	+	+	PUNCT
fuelectenerg-4161	234	10	(	(	PUNCT
fuelectenerg-4161	234	11	r	r	NOUN
fuelectenerg-4161	234	12	xnor	xnor	NOUN
fuelectenerg-4161	234	13	h	h	PROPN
fuelectenerg-4161	234	14	)	)	PUNCT
fuelectenerg-4161	234	15	g	g	NOUN
fuelectenerg-4161	234	16	step	step	NOUN
fuelectenerg-4161	234	17	2	2	NUM
fuelectenerg-4161	234	18	:	:	PUNCT
fuelectenerg-4161	234	19	compute	compute	NOUN
fuelectenerg-4161	234	20	s	s	PART
fuelectenerg-4161	234	21	=	=	PUNCT
fuelectenerg-4161	234	22	(	(	PUNCT
fuelectenerg-4161	234	23	k	k	X
fuelectenerg-4161	234	24	+	+	NUM
fuelectenerg-4161	234	25	u	u	NOUN
fuelectenerg-4161	234	26	)	)	PUNCT
fuelectenerg-4161	234	27	g	g	NOUN
fuelectenerg-4161	234	28	where	where	SCONJ
fuelectenerg-4161	234	29	u	u	NOUN
fuelectenerg-4161	234	30	=	=	X
fuelectenerg-4161	234	31	(	(	PUNCT
fuelectenerg-4161	234	32	r	r	NOUN
fuelectenerg-4161	234	33	xnor	xnor	NOUN
fuelectenerg-4161	234	34	h	h	PROPN
fuelectenerg-4161	234	35	)	)	PUNCT
fuelectenerg-4161	234	36	step	step	NOUN
fuelectenerg-4161	234	37	3	3	NUM
fuelectenerg-4161	234	38	:	:	PUNCT
fuelectenerg-4161	234	39	compute	compute	PROPN
fuelectenerg-4161	234	40	s	s	PART
fuelectenerg-4161	234	41	=	=	PUNCT
fuelectenerg-4161	234	42	kg	kg	X
fuelectenerg-4161	235	1	+	+	CCONJ
fuelectenerg-4161	235	2	ug	ug	ADP
fuelectenerg-4161	235	3	step	step	NOUN
fuelectenerg-4161	235	4	4	4	NUM
fuelectenerg-4161	235	5	:	:	PUNCT
fuelectenerg-4161	235	6	compute	compute	PROPN
fuelectenerg-4161	235	7	s	s	PART
fuelectenerg-4161	235	8	ug	ug	ADV
fuelectenerg-4161	235	9	=	=	SYM
fuelectenerg-4161	235	10	kg	kg	PROPN
fuelectenerg-4161	235	11	=	=	SYM
fuelectenerg-4161	235	12	(	(	PUNCT
fuelectenerg-4161	235	13	x2	x2	PROPN
fuelectenerg-4161	235	14	,	,	PUNCT
fuelectenerg-4161	235	15	y2	y2	PROPN
fuelectenerg-4161	235	16	)	)	PUNCT
fuelectenerg-4161	236	1	therefore	therefore	ADV
fuelectenerg-4161	236	2	lhs	lhs	PROPN
fuelectenerg-4161	236	3	=	=	PUNCT
fuelectenerg-4161	236	4	kg	kg	PROPN
fuelectenerg-4161	237	1	=	=	SYM
fuelectenerg-4161	238	1	(	(	PUNCT
fuelectenerg-4161	238	2	x1	x1	PROPN
fuelectenerg-4161	238	3	,	,	PUNCT
fuelectenerg-4161	238	4	y1	y1	NOUN
fuelectenerg-4161	238	5	)	)	PUNCT
fuelectenerg-4161	238	6	and	and	CCONJ
fuelectenerg-4161	238	7	r	r	NOUN
fuelectenerg-4161	238	8	=	=	SYM
fuelectenerg-4161	238	9	x1	x1	PROPN
fuelectenerg-4161	238	10	(	(	PUNCT
fuelectenerg-4161	238	11	mod	mod	PROPN
fuelectenerg-4161	238	12	p	p	X
fuelectenerg-4161	238	13	)	)	PUNCT
fuelectenerg-4161	238	14	rhs	rhs	PROPN
fuelectenerg-4161	238	15	=	=	PUNCT
fuelectenerg-4161	239	1	(	(	PUNCT
fuelectenerg-4161	239	2	s	s	X
fuelectenerg-4161	239	3			NOUN
fuelectenerg-4161	239	4	ug	ug	ADP
fuelectenerg-4161	239	5	)	)	PUNCT
fuelectenerg-4161	239	6	=	=	SYM
fuelectenerg-4161	240	1	(	(	PUNCT
fuelectenerg-4161	240	2	x2	x2	PROPN
fuelectenerg-4161	240	3	,	,	PUNCT
fuelectenerg-4161	240	4	y2	y2	PROPN
fuelectenerg-4161	240	5	)	)	PUNCT
fuelectenerg-4161	240	6	and	and	CCONJ
fuelectenerg-4161	240	7	v	v	X
fuelectenerg-4161	240	8	=	=	SYM
fuelectenerg-4161	240	9	x2(mod	x2(mod	PROPN
fuelectenerg-4161	240	10	p	p	NOUN
fuelectenerg-4161	240	11	)	)	PUNCT
fuelectenerg-4161	240	12	hence	hence	ADV
fuelectenerg-4161	240	13	v	v	NOUN
fuelectenerg-4161	240	14	=	=	NOUN
fuelectenerg-4161	240	15	r	r	NOUN
fuelectenerg-4161	240	16	the	the	DET
fuelectenerg-4161	240	17	improved	improve	VERB
fuelectenerg-4161	240	18	ecdsa	ecdsa	NOUN
fuelectenerg-4161	240	19	scheme	scheme	NOUN
fuelectenerg-4161	240	20	reduces	reduce	VERB
fuelectenerg-4161	240	21	the	the	DET
fuelectenerg-4161	240	22	computational	computational	ADJ
fuelectenerg-4161	240	23	cost	cost	NOUN
fuelectenerg-4161	240	24	while	while	SCONJ
fuelectenerg-4161	240	25	keeping	keep	VERB
fuelectenerg-4161	240	26	the	the	DET
fuelectenerg-4161	240	27	same	same	ADJ
fuelectenerg-4161	240	28	security	security	NOUN
fuelectenerg-4161	240	29	as	as	ADP
fuelectenerg-4161	240	30	original	original	ADJ
fuelectenerg-4161	240	31	ecdsa	ecdsa	NOUN
fuelectenerg-4161	240	32	.	.	PUNCT
fuelectenerg-4161	241	1	they	they	PRON
fuelectenerg-4161	241	2	are	be	AUX
fuelectenerg-4161	241	3	suitable	suitable	ADJ
fuelectenerg-4161	241	4	for	for	ADP
fuelectenerg-4161	241	5	the	the	DET
fuelectenerg-4161	241	6	users	user	NOUN
fuelectenerg-4161	241	7	who	who	PRON
fuelectenerg-4161	241	8	have	have	VERB
fuelectenerg-4161	241	9	limited	limit	VERB
fuelectenerg-4161	241	10	computing	computing	NOUN
fuelectenerg-4161	241	11	capacity	capacity	NOUN
fuelectenerg-4161	241	12	.	.	PUNCT
fuelectenerg-4161	242	1	6	6	NUM
fuelectenerg-4161	242	2	.	.	X
fuelectenerg-4161	242	3	comparison	comparison	NOUN
fuelectenerg-4161	242	4	of	of	ADP
fuelectenerg-4161	242	5	elliptic	elliptic	ADJ
fuelectenerg-4161	242	6	curve	curve	NOUN
fuelectenerg-4161	242	7	digital	digital	ADJ
fuelectenerg-4161	242	8	signature	signature	NOUN
fuelectenerg-4161	242	9	algorithm	algorithm	NOUN
fuelectenerg-4161	242	10	the	the	DET
fuelectenerg-4161	242	11	original	original	ADJ
fuelectenerg-4161	242	12	ecdsa	ecdsa	NOUN
fuelectenerg-4161	242	13	and	and	CCONJ
fuelectenerg-4161	242	14	proposed	propose	VERB
fuelectenerg-4161	242	15	ecdsa	ecdsa	PROPN
fuelectenerg-4161	242	16	are	be	AUX
fuelectenerg-4161	242	17	compared	compare	VERB
fuelectenerg-4161	242	18	and	and	CCONJ
fuelectenerg-4161	242	19	represented	represent	VERB
fuelectenerg-4161	242	20	in	in	ADP
fuelectenerg-4161	242	21	the	the	DET
fuelectenerg-4161	242	22	table	table	NOUN
fuelectenerg-4161	242	23	2	2	NUM
fuelectenerg-4161	242	24	.	.	PUNCT
fuelectenerg-4161	242	25	while	while	SCONJ
fuelectenerg-4161	242	26	comparing	compare	VERB
fuelectenerg-4161	242	27	the	the	DET
fuelectenerg-4161	242	28	original	original	ADJ
fuelectenerg-4161	242	29	ecdsa	ecdsa	NOUN
fuelectenerg-4161	242	30	and	and	CCONJ
fuelectenerg-4161	242	31	the	the	DET
fuelectenerg-4161	242	32	proposed	propose	VERB
fuelectenerg-4161	242	33	ecdsa	ecdsa	NOUN
fuelectenerg-4161	242	34	,	,	PUNCT
fuelectenerg-4161	242	35	it	it	PRON
fuelectenerg-4161	242	36	is	be	AUX
fuelectenerg-4161	242	37	found	find	VERB
fuelectenerg-4161	242	38	that	that	SCONJ
fuelectenerg-4161	242	39	the	the	DET
fuelectenerg-4161	242	40	original	original	ADJ
fuelectenerg-4161	242	41	ecdsa	ecdsa	NOUN
fuelectenerg-4161	242	42	consists	consist	VERB
fuelectenerg-4161	242	43	of	of	ADP
fuelectenerg-4161	242	44	inverse	inverse	ADJ
fuelectenerg-4161	242	45	operations	operation	NOUN
fuelectenerg-4161	242	46	in	in	ADP
fuelectenerg-4161	242	47	signature	signature	NOUN
fuelectenerg-4161	242	48	generation	generation	NOUN
fuelectenerg-4161	242	49	and	and	CCONJ
fuelectenerg-4161	242	50	signature	signature	NOUN
fuelectenerg-4161	242	51	verification	verification	NOUN
fuelectenerg-4161	242	52	and	and	CCONJ
fuelectenerg-4161	242	53	hence	hence	ADV
fuelectenerg-4161	242	54	is	be	AUX
fuelectenerg-4161	242	55	more	more	ADV
fuelectenerg-4161	242	56	complex	complex	ADJ
fuelectenerg-4161	242	57	as	as	SCONJ
fuelectenerg-4161	242	58	needs	need	NOUN
fuelectenerg-4161	242	59	more	more	ADJ
fuelectenerg-4161	242	60	point	point	NOUN
fuelectenerg-4161	242	61	multiplication	multiplication	NOUN
fuelectenerg-4161	242	62	operation	operation	NOUN
fuelectenerg-4161	242	63	.	.	PUNCT
fuelectenerg-4161	243	1	the	the	DET
fuelectenerg-4161	243	2	improved	improved	ADJ
fuelectenerg-4161	243	3	scheme	scheme	NOUN
fuelectenerg-4161	243	4	,	,	PUNCT
fuelectenerg-4161	243	5	the	the	DET
fuelectenerg-4161	243	6	initialization	initialization	NOUN
fuelectenerg-4161	243	7	stage	stage	NOUN
fuelectenerg-4161	243	8	and	and	CCONJ
fuelectenerg-4161	243	9	authorization	authorization	NOUN
fuelectenerg-4161	243	10	stage	stage	NOUN
fuelectenerg-4161	243	11	are	be	AUX
fuelectenerg-4161	243	12	introduced	introduce	VERB
fuelectenerg-4161	243	13	to	to	PART
fuelectenerg-4161	243	14	share	share	VERB
fuelectenerg-4161	243	15	the	the	DET
fuelectenerg-4161	243	16	values	value	NOUN
fuelectenerg-4161	243	17	of	of	ADP
fuelectenerg-4161	243	18	k	k	PROPN
fuelectenerg-4161	243	19	and	and	CCONJ
fuelectenerg-4161	243	20	g	g	NOUN
fuelectenerg-4161	243	21	between	between	ADP
fuelectenerg-4161	243	22	the	the	DET
fuelectenerg-4161	243	23	sender	sender	NOUN
fuelectenerg-4161	243	24	and	and	CCONJ
fuelectenerg-4161	243	25	receiver	receiver	NOUN
fuelectenerg-4161	243	26	,	,	PUNCT
fuelectenerg-4161	243	27	thus	thus	ADV
fuelectenerg-4161	243	28	reducing	reduce	VERB
fuelectenerg-4161	243	29	the	the	DET
fuelectenerg-4161	243	30	computational	computational	ADJ
fuelectenerg-4161	243	31	cost	cost	NOUN
fuelectenerg-4161	243	32	as	as	SCONJ
fuelectenerg-4161	243	33	no	no	DET
fuelectenerg-4161	243	34	inverse	inverse	NOUN
fuelectenerg-4161	243	35	operations	operation	NOUN
fuelectenerg-4161	243	36	are	be	AUX
fuelectenerg-4161	243	37	required	require	VERB
fuelectenerg-4161	243	38	for	for	ADP
fuelectenerg-4161	243	39	signature	signature	NOUN
fuelectenerg-4161	243	40	generation	generation	NOUN
fuelectenerg-4161	243	41	and	and	CCONJ
fuelectenerg-4161	243	42	signature	signature	NOUN
fuelectenerg-4161	243	43	verification	verification	NOUN
fuelectenerg-4161	243	44	,	,	PUNCT
fuelectenerg-4161	243	45	while	while	SCONJ
fuelectenerg-4161	243	46	keeping	keep	VERB
fuelectenerg-4161	243	47	the	the	DET
fuelectenerg-4161	243	48	same	same	ADJ
fuelectenerg-4161	243	49	security	security	NOUN
fuelectenerg-4161	243	50	as	as	ADP
fuelectenerg-4161	243	51	original	original	ADJ
fuelectenerg-4161	243	52	ecdsa	ecdsa	PROPN
fuelectenerg-4161	243	53	.	.	PUNCT
fuelectenerg-4161	243	54	table	table	NOUN
fuelectenerg-4161	243	55	2	2	NUM
fuelectenerg-4161	243	56	comparison	comparison	NOUN
fuelectenerg-4161	243	57	of	of	ADP
fuelectenerg-4161	243	58	ecdsa	ecdsa	PROPN
fuelectenerg-4161	243	59	variants	variant	NOUN
fuelectenerg-4161	243	60	algorithm	algorithm	NOUN
fuelectenerg-4161	243	61	signature	signature	NOUN
fuelectenerg-4161	243	62	generation	generation	NOUN
fuelectenerg-4161	243	63	signature	signature	NOUN
fuelectenerg-4161	243	64	verification	verification	NOUN
fuelectenerg-4161	243	65	attack	attack	NOUN
fuelectenerg-4161	243	66	inverse	inverse	NOUN
fuelectenerg-4161	243	67	in	in	ADP
fuelectenerg-4161	243	68	key	key	ADJ
fuelectenerg-4161	243	69	generation	generation	NOUN
fuelectenerg-4161	243	70	inverse	inverse	NOUN
fuelectenerg-4161	243	71	in	in	ADP
fuelectenerg-4161	243	72	signing	sign	VERB
fuelectenerg-4161	243	73	inverse	inverse	NOUN
fuelectenerg-4161	243	74	in	in	ADP
fuelectenerg-4161	243	75	verification	verification	NOUN
fuelectenerg-4161	243	76	original	original	ADJ
fuelectenerg-4161	243	77	ecdsa	ecdsa	PROPN
fuelectenerg-4161	243	78	s	s	PROPN
fuelectenerg-4161	243	79	=	=	PROPN
fuelectenerg-4161	243	80	k−	k−	PROPN
fuelectenerg-4161	243	81	1(h	1(h	NUM
fuelectenerg-4161	243	82	+	+	CCONJ
fuelectenerg-4161	243	83	dar	dar	NOUN
fuelectenerg-4161	243	84	)	)	PUNCT
fuelectenerg-4161	243	85	u1	u1	NOUN
fuelectenerg-4161	243	86	=	=	SYM
fuelectenerg-4161	243	87	hs−1	hs−1	NOUN
fuelectenerg-4161	243	88	u2	u2	NOUN
fuelectenerg-4161	243	89	=	=	SYM
fuelectenerg-4161	243	90	rs−1	rs−1	NOUN
fuelectenerg-4161	243	91	u1	u1	NOUN
fuelectenerg-4161	243	92	g	g	NOUN
fuelectenerg-4161	243	93	+	+	CCONJ
fuelectenerg-4161	243	94	u2qa	u2qa	NOUN
fuelectenerg-4161	243	95	vulnerable	vulnerable	ADJ
fuelectenerg-4161	244	1	no	no	INTJ
fuelectenerg-4161	244	2	yes	yes	INTJ
fuelectenerg-4161	245	1	yes	yes	INTJ
fuelectenerg-4161	245	2	proposed	propose	VERB
fuelectenerg-4161	245	3	ecdsa	ecdsa	PROPN
fuelectenerg-4161	245	4	s	s	PROPN
fuelectenerg-4161	245	5	=	=	PUNCT
fuelectenerg-4161	245	6	(	(	PUNCT
fuelectenerg-4161	245	7	k	k	PROPN
fuelectenerg-4161	245	8	+	+	PUNCT
fuelectenerg-4161	245	9	(	(	PUNCT
fuelectenerg-4161	245	10	r	r	NOUN
fuelectenerg-4161	245	11	xnor	xnor	NOUN
fuelectenerg-4161	245	12	h	h	PROPN
fuelectenerg-4161	245	13	)	)	PUNCT
fuelectenerg-4161	245	14	g	g	NOUN
fuelectenerg-4161	245	15	u	u	NOUN
fuelectenerg-4161	245	16	=	=	PUNCT
fuelectenerg-4161	245	17	(	(	PUNCT
fuelectenerg-4161	245	18	r	r	NOUN
fuelectenerg-4161	245	19	xnor	xnor	NOUN
fuelectenerg-4161	245	20	h	h	PROPN
fuelectenerg-4161	245	21	)	)	PUNCT
fuelectenerg-4161	245	22	(	(	PUNCT
fuelectenerg-4161	245	23	s	s	NOUN
fuelectenerg-4161	245	24	ug	ug	X
fuelectenerg-4161	245	25	)	)	PUNCT
fuelectenerg-4161	245	26	not	not	PART
fuelectenerg-4161	245	27	vulnerable	vulnerable	ADJ
fuelectenerg-4161	246	1	no	no	INTJ
fuelectenerg-4161	246	2	no	no	INTJ
fuelectenerg-4161	246	3	no	no	DET
fuelectenerg-4161	246	4	7	7	NUM
fuelectenerg-4161	246	5	.	.	PUNCT
fuelectenerg-4161	246	6	implementation	implementation	NOUN
fuelectenerg-4161	246	7	and	and	CCONJ
fuelectenerg-4161	246	8	synthesis	synthesis	NOUN
fuelectenerg-4161	246	9	elliptic	elliptic	ADJ
fuelectenerg-4161	246	10	curve	curve	NOUN
fuelectenerg-4161	246	11	digital	digital	ADJ
fuelectenerg-4161	246	12	signature	signature	NOUN
fuelectenerg-4161	246	13	algorithm	algorithm	NOUN
fuelectenerg-4161	246	14	the	the	DET
fuelectenerg-4161	246	15	original	original	ADJ
fuelectenerg-4161	246	16	ecdsa	ecdsa	NOUN
fuelectenerg-4161	246	17	signature	signature	NOUN
fuelectenerg-4161	246	18	generation	generation	NOUN
fuelectenerg-4161	246	19	and	and	CCONJ
fuelectenerg-4161	246	20	signature	signature	NOUN
fuelectenerg-4161	246	21	verification	verification	NOUN
fuelectenerg-4161	246	22	was	be	AUX
fuelectenerg-4161	246	23	realized	realize	VERB
fuelectenerg-4161	246	24	in	in	ADP
fuelectenerg-4161	246	25	verilog	verilog	PROPN
fuelectenerg-4161	246	26	hdl	hdl	PROPN
fuelectenerg-4161	246	27	and	and	CCONJ
fuelectenerg-4161	246	28	simulation	simulation	NOUN
fuelectenerg-4161	246	29	was	be	AUX
fuelectenerg-4161	246	30	carried	carry	VERB
fuelectenerg-4161	246	31	out	out	ADP
fuelectenerg-4161	246	32	using	use	VERB
fuelectenerg-4161	246	33	isim	isim	PROPN
fuelectenerg-4161	246	34	simulation	simulation	NOUN
fuelectenerg-4161	246	35	tool	tool	NOUN
fuelectenerg-4161	246	36	available	available	ADJ
fuelectenerg-4161	246	37	in	in	ADP
fuelectenerg-4161	246	38	xilinx	xilinx	PROPN
fuelectenerg-4161	246	39	14.3	14.3	NUM
fuelectenerg-4161	246	40	for	for	ADP
fuelectenerg-4161	246	41	verifying	verify	VERB
fuelectenerg-4161	246	42	its	its	PRON
fuelectenerg-4161	246	43	functional	functional	ADJ
fuelectenerg-4161	246	44	correctness	correctness	NOUN
fuelectenerg-4161	246	45	.	.	PUNCT
fuelectenerg-4161	247	1	the	the	DET
fuelectenerg-4161	247	2	rtl	rtl	PROPN
fuelectenerg-4161	247	3	block	block	NOUN
fuelectenerg-4161	247	4	schematic	schematic	ADJ
fuelectenerg-4161	247	5	of	of	ADP
fuelectenerg-4161	247	6	the	the	DET
fuelectenerg-4161	247	7	ecdsa	ecdsa	PROPN
fuelectenerg-4161	247	8	signature	signature	NOUN
fuelectenerg-4161	247	9	generation	generation	NOUN
fuelectenerg-4161	247	10	is	be	AUX
fuelectenerg-4161	247	11	illustrated	illustrate	VERB
fuelectenerg-4161	247	12	in	in	ADP
fuelectenerg-4161	247	13	fig	fig	NOUN
fuelectenerg-4161	247	14	.	.	PUNCT
fuelectenerg-4161	248	1	7	7	NUM
fuelectenerg-4161	249	1	and	and	CCONJ
fuelectenerg-4161	249	2	ecdsa	ecdsa	PROPN
fuelectenerg-4161	249	3	signature	signature	NOUN
fuelectenerg-4161	249	4	verification	verification	NOUN
fuelectenerg-4161	249	5	is	be	AUX
fuelectenerg-4161	249	6	illustrated	illustrate	VERB
fuelectenerg-4161	249	7	in	in	ADP
fuelectenerg-4161	249	8	fig	fig	NOUN
fuelectenerg-4161	249	9	.	.	PUNCT
fuelectenerg-4161	250	1	8	8	X
fuelectenerg-4161	250	2	.	.	X
fuelectenerg-4161	251	1	fpga	fpga	PROPN
fuelectenerg-4161	251	2	implementation	implementation	NOUN
fuelectenerg-4161	251	3	of	of	ADP
fuelectenerg-4161	251	4	modified	modify	VERB
fuelectenerg-4161	251	5	elliptic	elliptic	ADJ
fuelectenerg-4161	251	6	curve	curve	NOUN
fuelectenerg-4161	251	7	digital	digital	ADJ
fuelectenerg-4161	251	8	signature	signature	NOUN
fuelectenerg-4161	251	9	algorithm	algorithm	NOUN
fuelectenerg-4161	251	10	141	141	NUM
fuelectenerg-4161	251	11	the	the	DET
fuelectenerg-4161	251	12	ecdsa	ecdsa	PROPN
fuelectenerg-4161	251	13	signature	signature	NOUN
fuelectenerg-4161	251	14	generation	generation	NOUN
fuelectenerg-4161	251	15	and	and	CCONJ
fuelectenerg-4161	251	16	signature	signature	NOUN
fuelectenerg-4161	251	17	verification	verification	NOUN
fuelectenerg-4161	251	18	were	be	AUX
fuelectenerg-4161	251	19	synthesized	synthesize	VERB
fuelectenerg-4161	251	20	and	and	CCONJ
fuelectenerg-4161	251	21	the	the	DET
fuelectenerg-4161	251	22	device	device	NOUN
fuelectenerg-4161	251	23	utilization	utilization	NOUN
fuelectenerg-4161	251	24	summary	summary	NOUN
fuelectenerg-4161	251	25	,	,	PUNCT
fuelectenerg-4161	251	26	timings	timing	NOUN
fuelectenerg-4161	251	27	summary	summary	NOUN
fuelectenerg-4161	251	28	and	and	CCONJ
fuelectenerg-4161	251	29	memory	memory	NOUN
fuelectenerg-4161	251	30	utilization	utilization	NOUN
fuelectenerg-4161	251	31	are	be	AUX
fuelectenerg-4161	251	32	tabulated	tabulate	VERB
fuelectenerg-4161	251	33	in	in	ADP
fuelectenerg-4161	251	34	table	table	NOUN
fuelectenerg-4161	251	35	3	3	NUM
fuelectenerg-4161	251	36	.	.	PUNCT
fuelectenerg-4161	252	1	the	the	DET
fuelectenerg-4161	252	2	hardware	hardware	NOUN
fuelectenerg-4161	252	3	implementation	implementation	NOUN
fuelectenerg-4161	252	4	of	of	ADP
fuelectenerg-4161	252	5	ecdsa	ecdsa	PROPN
fuelectenerg-4161	252	6	signature	signature	NOUN
fuelectenerg-4161	252	7	generation	generation	NOUN
fuelectenerg-4161	252	8	was	be	AUX
fuelectenerg-4161	252	9	performed	perform	VERB
fuelectenerg-4161	252	10	on	on	ADP
fuelectenerg-4161	252	11	virtex-5	virtex-5	NUM
fuelectenerg-4161	252	12	5xc5vlx50t-1ff1136	5xc5vlx50t-1ff1136	PROPN
fuelectenerg-4161	252	13	fpga	fpga	PROPN
fuelectenerg-4161	252	14	development	development	PROPN
fuelectenerg-4161	252	15	board	board	PROPN
fuelectenerg-4161	252	16	by	by	ADP
fuelectenerg-4161	252	17	xilinx	xilinx	PROPN
fuelectenerg-4161	252	18	to	to	PART
fuelectenerg-4161	252	19	evaluate	evaluate	VERB
fuelectenerg-4161	252	20	the	the	DET
fuelectenerg-4161	252	21	area	area	NOUN
fuelectenerg-4161	252	22	and	and	CCONJ
fuelectenerg-4161	252	23	speed	speed	NOUN
fuelectenerg-4161	252	24	.	.	PUNCT
fuelectenerg-4161	253	1	it	it	PRON
fuelectenerg-4161	253	2	was	be	AUX
fuelectenerg-4161	253	3	found	find	VERB
fuelectenerg-4161	253	4	that	that	SCONJ
fuelectenerg-4161	253	5	the	the	DET
fuelectenerg-4161	253	6	ecdsa	ecdsa	PROPN
fuelectenerg-4161	253	7	signature	signature	NOUN
fuelectenerg-4161	253	8	generation	generation	NOUN
fuelectenerg-4161	253	9	operated	operate	VERB
fuelectenerg-4161	253	10	at	at	ADP
fuelectenerg-4161	253	11	a	a	DET
fuelectenerg-4161	253	12	maximum	maximum	ADJ
fuelectenerg-4161	253	13	frequency	frequency	NOUN
fuelectenerg-4161	253	14	of	of	ADP
fuelectenerg-4161	253	15	13.180	13.180	NUM
fuelectenerg-4161	253	16	mhz	mhz	NOUN
fuelectenerg-4161	253	17	whereas	whereas	SCONJ
fuelectenerg-4161	253	18	the	the	DET
fuelectenerg-4161	253	19	ecdsa	ecdsa	PROPN
fuelectenerg-4161	253	20	signature	signature	NOUN
fuelectenerg-4161	253	21	verification	verification	NOUN
fuelectenerg-4161	253	22	operated	operate	VERB
fuelectenerg-4161	253	23	at	at	ADP
fuelectenerg-4161	253	24	a	a	DET
fuelectenerg-4161	253	25	maximum	maximum	ADJ
fuelectenerg-4161	253	26	frequency	frequency	NOUN
fuelectenerg-4161	253	27	of	of	ADP
fuelectenerg-4161	253	28	13.210	13.210	NUM
fuelectenerg-4161	253	29	mhz	mhz	NOUN
fuelectenerg-4161	253	30	.	.	PUNCT
fuelectenerg-4161	254	1	fig	fig	NOUN
fuelectenerg-4161	254	2	.	.	PUNCT
fuelectenerg-4161	255	1	7	7	NUM
fuelectenerg-4161	255	2	rtl	rtl	NOUN
fuelectenerg-4161	255	3	block	block	NOUN
fuelectenerg-4161	255	4	schematic	schematic	ADJ
fuelectenerg-4161	255	5	of	of	ADP
fuelectenerg-4161	255	6	ecdsa	ecdsa	PROPN
fuelectenerg-4161	255	7	signature	signature	NOUN
fuelectenerg-4161	255	8	generation	generation	NOUN
fuelectenerg-4161	255	9	fig	fig	NOUN
fuelectenerg-4161	255	10	.	.	PUNCT
fuelectenerg-4161	255	11	8	8	NUM
fuelectenerg-4161	255	12	rtl	rtl	NOUN
fuelectenerg-4161	255	13	block	block	NOUN
fuelectenerg-4161	255	14	schematic	schematic	ADJ
fuelectenerg-4161	255	15	of	of	ADP
fuelectenerg-4161	255	16	ecdsa	ecdsa	PROPN
fuelectenerg-4161	255	17	signature	signature	NOUN
fuelectenerg-4161	255	18	verification	verification	NOUN
fuelectenerg-4161	255	19	142	142	NUM
fuelectenerg-4161	255	20	v.	v.	ADP
fuelectenerg-4161	255	21	kamalakannan	kamalakannan	PROPN
fuelectenerg-4161	255	22	,	,	PUNCT
fuelectenerg-4161	255	23	s.	s.	PROPN
fuelectenerg-4161	255	24	tamilselvan	tamilselvan	PROPN
fuelectenerg-4161	255	25	table	table	VERB
fuelectenerg-4161	255	26	3	3	NUM
fuelectenerg-4161	255	27	synthesis	synthesis	NOUN
fuelectenerg-4161	255	28	summary	summary	NOUN
fuelectenerg-4161	255	29	for	for	ADP
fuelectenerg-4161	255	30	ecdsa	ecdsa	PROPN
fuelectenerg-4161	255	31	parameters	parameter	NOUN
fuelectenerg-4161	255	32	signature	signature	NOUN
fuelectenerg-4161	255	33	generation	generation	NOUN
fuelectenerg-4161	255	34	signature	signature	NOUN
fuelectenerg-4161	255	35	verification	verification	NOUN
fuelectenerg-4161	255	36	slice	slice	NOUN
fuelectenerg-4161	255	37	registers	register	NOUN
fuelectenerg-4161	255	38	6701	6701	NUM
fuelectenerg-4161	255	39	6790	6790	NUM
fuelectenerg-4161	255	40	slice	slice	NOUN
fuelectenerg-4161	255	41	luts	luts	PROPN
fuelectenerg-4161	255	42	16370	16370	NUM
fuelectenerg-4161	255	43	22734	22734	NUM
fuelectenerg-4161	255	44	lut	lut	PROPN
fuelectenerg-4161	255	45	-	-	PUNCT
fuelectenerg-4161	255	46	ff	ff	ADJ
fuelectenerg-4161	255	47	pairs	pair	NOUN
fuelectenerg-4161	255	48	4884	4884	NUM
fuelectenerg-4161	255	49	4996	4996	NUM
fuelectenerg-4161	255	50	bonded	bond	VERB
fuelectenerg-4161	255	51	iobs	iob	VERB
fuelectenerg-4161	255	52	226	226	NUM
fuelectenerg-4161	255	53	226	226	NUM
fuelectenerg-4161	255	54	real	real	ADJ
fuelectenerg-4161	255	55	time	time	NOUN
fuelectenerg-4161	255	56	2627.00	2627.00	NUM
fuelectenerg-4161	255	57	secs	sec	NOUN
fuelectenerg-4161	255	58	890.00	890.00	NUM
fuelectenerg-4161	255	59	secs	sec	NOUN
fuelectenerg-4161	255	60	cpu	cpu	NOUN
fuelectenerg-4161	255	61	time	time	NOUN
fuelectenerg-4161	255	62	2626.99	2626.99	NUM
fuelectenerg-4161	255	63	secs	sec	NOUN
fuelectenerg-4161	255	64	890.19	890.19	NUM
fuelectenerg-4161	255	65	secs	secs	NOUN
fuelectenerg-4161	255	66	maximum	maximum	ADJ
fuelectenerg-4161	255	67	frequency	frequency	NOUN
fuelectenerg-4161	255	68	13.180	13.180	NUM
fuelectenerg-4161	255	69	mhz	mhz	NOUN
fuelectenerg-4161	255	70	13.210	13.210	NUM
fuelectenerg-4161	255	71	mhz	mhz	NOUN
fuelectenerg-4161	255	72	the	the	DET
fuelectenerg-4161	255	73	modified	modify	VERB
fuelectenerg-4161	255	74	ecdsa	ecdsa	PROPN
fuelectenerg-4161	255	75	signature	signature	NOUN
fuelectenerg-4161	255	76	generation	generation	NOUN
fuelectenerg-4161	255	77	and	and	CCONJ
fuelectenerg-4161	255	78	signature	signature	NOUN
fuelectenerg-4161	255	79	verification	verification	NOUN
fuelectenerg-4161	255	80	was	be	AUX
fuelectenerg-4161	255	81	realized	realize	VERB
fuelectenerg-4161	255	82	in	in	ADP
fuelectenerg-4161	255	83	verilog	verilog	PROPN
fuelectenerg-4161	255	84	hdl	hdl	PROPN
fuelectenerg-4161	255	85	and	and	CCONJ
fuelectenerg-4161	255	86	the	the	DET
fuelectenerg-4161	255	87	simulation	simulation	NOUN
fuelectenerg-4161	255	88	was	be	AUX
fuelectenerg-4161	255	89	carried	carry	VERB
fuelectenerg-4161	255	90	out	out	ADP
fuelectenerg-4161	255	91	using	use	VERB
fuelectenerg-4161	255	92	isim	isim	NOUN
fuelectenerg-4161	255	93	simulation	simulation	NOUN
fuelectenerg-4161	255	94	tool	tool	NOUN
fuelectenerg-4161	255	95	in	in	ADP
fuelectenerg-4161	255	96	xilinx	xilinx	NOUN
fuelectenerg-4161	255	97	for	for	ADP
fuelectenerg-4161	255	98	verifying	verify	VERB
fuelectenerg-4161	255	99	its	its	PRON
fuelectenerg-4161	255	100	functional	functional	ADJ
fuelectenerg-4161	255	101	correctness	correctness	NOUN
fuelectenerg-4161	255	102	.	.	PUNCT
fuelectenerg-4161	256	1	the	the	DET
fuelectenerg-4161	256	2	rtl	rtl	PROPN
fuelectenerg-4161	256	3	block	block	NOUN
fuelectenerg-4161	256	4	schematic	schematic	ADJ
fuelectenerg-4161	256	5	of	of	ADP
fuelectenerg-4161	256	6	the	the	DET
fuelectenerg-4161	256	7	modified	modify	VERB
fuelectenerg-4161	256	8	ecdsa	ecdsa	PROPN
fuelectenerg-4161	256	9	signature	signature	NOUN
fuelectenerg-4161	256	10	generation	generation	NOUN
fuelectenerg-4161	256	11	is	be	AUX
fuelectenerg-4161	256	12	illustrated	illustrate	VERB
fuelectenerg-4161	256	13	in	in	ADP
fuelectenerg-4161	256	14	fig	fig	NOUN
fuelectenerg-4161	256	15	.	.	PUNCT
fuelectenerg-4161	257	1	9	9	NUM
fuelectenerg-4161	257	2	,	,	PUNCT
fuelectenerg-4161	258	1	and	and	CCONJ
fuelectenerg-4161	258	2	modified	modify	VERB
fuelectenerg-4161	258	3	ecdsa	ecdsa	PROPN
fuelectenerg-4161	258	4	signature	signature	NOUN
fuelectenerg-4161	258	5	verification	verification	NOUN
fuelectenerg-4161	258	6	is	be	AUX
fuelectenerg-4161	258	7	illustrated	illustrate	VERB
fuelectenerg-4161	258	8	in	in	ADP
fuelectenerg-4161	258	9	fig	fig	NOUN
fuelectenerg-4161	258	10	.	.	PUNCT
fuelectenerg-4161	259	1	10	10	NUM
fuelectenerg-4161	259	2	.	.	X
fuelectenerg-4161	259	3	fig	fig	NOUN
fuelectenerg-4161	259	4	.	.	PUNCT
fuelectenerg-4161	260	1	9	9	NUM
fuelectenerg-4161	260	2	rtl	rtl	NOUN
fuelectenerg-4161	260	3	block	block	NOUN
fuelectenerg-4161	260	4	schematic	schematic	ADJ
fuelectenerg-4161	260	5	of	of	ADP
fuelectenerg-4161	260	6	modified	modify	VERB
fuelectenerg-4161	260	7	ecdsa	ecdsa	PROPN
fuelectenerg-4161	260	8	signature	signature	NOUN
fuelectenerg-4161	260	9	generation	generation	NOUN
fuelectenerg-4161	260	10	fig	fig	NOUN
fuelectenerg-4161	260	11	.	.	PUNCT
fuelectenerg-4161	261	1	10	10	NUM
fuelectenerg-4161	261	2	rtl	rtl	PROPN
fuelectenerg-4161	261	3	block	block	NOUN
fuelectenerg-4161	261	4	schematic	schematic	ADJ
fuelectenerg-4161	261	5	of	of	ADP
fuelectenerg-4161	261	6	modified	modify	VERB
fuelectenerg-4161	261	7	ecdsa	ecdsa	PROPN
fuelectenerg-4161	261	8	signature	signature	NOUN
fuelectenerg-4161	261	9	verification	verification	PROPN
fuelectenerg-4161	261	10	fpga	fpga	PROPN
fuelectenerg-4161	261	11	implementation	implementation	NOUN
fuelectenerg-4161	261	12	of	of	ADP
fuelectenerg-4161	261	13	modified	modify	VERB
fuelectenerg-4161	261	14	elliptic	elliptic	ADJ
fuelectenerg-4161	261	15	curve	curve	NOUN
fuelectenerg-4161	261	16	digital	digital	ADJ
fuelectenerg-4161	261	17	signature	signature	NOUN
fuelectenerg-4161	261	18	algorithm	algorithm	NOUN
fuelectenerg-4161	261	19	143	143	NUM
fuelectenerg-4161	262	1	the	the	DET
fuelectenerg-4161	262	2	modified	modify	VERB
fuelectenerg-4161	262	3	ecdsa	ecdsa	PROPN
fuelectenerg-4161	262	4	signature	signature	NOUN
fuelectenerg-4161	262	5	generation	generation	NOUN
fuelectenerg-4161	262	6	and	and	CCONJ
fuelectenerg-4161	262	7	signature	signature	NOUN
fuelectenerg-4161	262	8	verification	verification	NOUN
fuelectenerg-4161	262	9	are	be	AUX
fuelectenerg-4161	262	10	synthesized	synthesize	VERB
fuelectenerg-4161	262	11	and	and	CCONJ
fuelectenerg-4161	262	12	the	the	DET
fuelectenerg-4161	262	13	device	device	NOUN
fuelectenerg-4161	262	14	utilization	utilization	NOUN
fuelectenerg-4161	262	15	summary	summary	NOUN
fuelectenerg-4161	262	16	,	,	PUNCT
fuelectenerg-4161	262	17	timings	timing	NOUN
fuelectenerg-4161	262	18	summary	summary	NOUN
fuelectenerg-4161	262	19	and	and	CCONJ
fuelectenerg-4161	262	20	memory	memory	NOUN
fuelectenerg-4161	262	21	utilization	utilization	NOUN
fuelectenerg-4161	262	22	are	be	AUX
fuelectenerg-4161	262	23	tabulated	tabulate	VERB
fuelectenerg-4161	262	24	in	in	ADP
fuelectenerg-4161	262	25	the	the	DET
fuelectenerg-4161	262	26	table	table	NOUN
fuelectenerg-4161	262	27	4	4	NUM
fuelectenerg-4161	262	28	.	.	PUNCT
fuelectenerg-4161	262	29	table	table	NOUN
fuelectenerg-4161	262	30	4	4	NUM
fuelectenerg-4161	262	31	synthesis	synthesis	NOUN
fuelectenerg-4161	262	32	summary	summary	NOUN
fuelectenerg-4161	262	33	for	for	ADP
fuelectenerg-4161	262	34	modified	modify	VERB
fuelectenerg-4161	262	35	ecdsa	ecdsa	PROPN
fuelectenerg-4161	262	36	parameters	parameters	PROPN
fuelectenerg-4161	262	37	signature	signature	NOUN
fuelectenerg-4161	262	38	generation	generation	NOUN
fuelectenerg-4161	262	39	signature	signature	NOUN
fuelectenerg-4161	262	40	verification	verification	NOUN
fuelectenerg-4161	262	41	slice	slice	NOUN
fuelectenerg-4161	262	42	registers	register	NOUN
fuelectenerg-4161	262	43	198	198	NUM
fuelectenerg-4161	262	44	454	454	NUM
fuelectenerg-4161	262	45	slice	slice	NOUN
fuelectenerg-4161	262	46	luts	luts	PROPN
fuelectenerg-4161	262	47	7853	7853	NUM
fuelectenerg-4161	262	48	16387	16387	NUM
fuelectenerg-4161	262	49	lut	lut	PROPN
fuelectenerg-4161	262	50	-	-	PUNCT
fuelectenerg-4161	262	51	ff	ff	ADJ
fuelectenerg-4161	262	52	pairs	pair	NOUN
fuelectenerg-4161	262	53	152	152	NUM
fuelectenerg-4161	262	54	346	346	NUM
fuelectenerg-4161	262	55	bonded	bond	VERB
fuelectenerg-4161	262	56	iobs	iob	VERB
fuelectenerg-4161	262	57	41	41	NUM
fuelectenerg-4161	262	58	34	34	NUM
fuelectenerg-4161	262	59	real	real	ADJ
fuelectenerg-4161	262	60	time	time	NOUN
fuelectenerg-4161	262	61	924.00	924.00	NUM
fuelectenerg-4161	262	62	secs	sec	NOUN
fuelectenerg-4161	262	63	910.00	910.00	NUM
fuelectenerg-4161	262	64	secs	sec	NOUN
fuelectenerg-4161	262	65	cpu	cpu	NOUN
fuelectenerg-4161	262	66	time	time	NOUN
fuelectenerg-4161	262	67	923.69	923.69	NUM
fuelectenerg-4161	262	68	secs	sec	NOUN
fuelectenerg-4161	262	69	910.09	910.09	NUM
fuelectenerg-4161	262	70	secs	secs	NOUN
fuelectenerg-4161	262	71	maximum	maximum	ADJ
fuelectenerg-4161	262	72	frequency	frequency	NOUN
fuelectenerg-4161	262	73	13.469	13.469	NUM
fuelectenerg-4161	262	74	mhz	mhz	NOUN
fuelectenerg-4161	262	75	13.156	13.156	NUM
fuelectenerg-4161	262	76	mhz	mhz	NOUN
fuelectenerg-4161	262	77	8	8	NUM
fuelectenerg-4161	262	78	.	.	NOUN
fuelectenerg-4161	263	1	result	result	VERB
fuelectenerg-4161	263	2	analysis	analysis	NOUN
fuelectenerg-4161	263	3	of	of	ADP
fuelectenerg-4161	263	4	elliptic	elliptic	ADJ
fuelectenerg-4161	263	5	curve	curve	NOUN
fuelectenerg-4161	263	6	digital	digital	ADJ
fuelectenerg-4161	263	7	signature	signature	NOUN
fuelectenerg-4161	263	8	algorithm	algorithm	NOUN
fuelectenerg-4161	263	9	the	the	DET
fuelectenerg-4161	263	10	ecdsa	ecdsa	NOUN
fuelectenerg-4161	263	11	and	and	CCONJ
fuelectenerg-4161	263	12	its	its	PRON
fuelectenerg-4161	263	13	variants	variant	NOUN
fuelectenerg-4161	263	14	are	be	AUX
fuelectenerg-4161	263	15	synthesized	synthesize	VERB
fuelectenerg-4161	263	16	and	and	CCONJ
fuelectenerg-4161	263	17	analyzed	analyze	VERB
fuelectenerg-4161	263	18	using	use	VERB
fuelectenerg-4161	263	19	xilinx	xilinx	NOUN
fuelectenerg-4161	263	20	tool	tool	NOUN
fuelectenerg-4161	263	21	.	.	PUNCT
fuelectenerg-4161	264	1	the	the	DET
fuelectenerg-4161	264	2	table	table	NOUN
fuelectenerg-4161	264	3	5	5	NUM
fuelectenerg-4161	264	4	and	and	CCONJ
fuelectenerg-4161	264	5	table	table	NOUN
fuelectenerg-4161	264	6	6	6	NUM
fuelectenerg-4161	264	7	illustrate	illustrate	VERB
fuelectenerg-4161	264	8	the	the	DET
fuelectenerg-4161	264	9	values	value	NOUN
fuelectenerg-4161	264	10	obtained	obtain	VERB
fuelectenerg-4161	264	11	after	after	ADP
fuelectenerg-4161	264	12	synthesizing	synthesize	VERB
fuelectenerg-4161	264	13	original	original	ADJ
fuelectenerg-4161	264	14	ecdsa	ecdsa	NOUN
fuelectenerg-4161	264	15	and	and	CCONJ
fuelectenerg-4161	264	16	modified	modify	VERB
fuelectenerg-4161	264	17	ecdsa	ecdsa	PROPN
fuelectenerg-4161	264	18	scheme	scheme	NOUN
fuelectenerg-4161	264	19	for	for	ADP
fuelectenerg-4161	264	20	signature	signature	NOUN
fuelectenerg-4161	264	21	generation	generation	NOUN
fuelectenerg-4161	264	22	and	and	CCONJ
fuelectenerg-4161	264	23	signature	signature	NOUN
fuelectenerg-4161	264	24	verification	verification	NOUN
fuelectenerg-4161	264	25	.	.	PUNCT
fuelectenerg-4161	265	1	comparison	comparison	NOUN
fuelectenerg-4161	265	2	was	be	AUX
fuelectenerg-4161	265	3	performed	perform	VERB
fuelectenerg-4161	265	4	related	relate	VERB
fuelectenerg-4161	265	5	to	to	ADP
fuelectenerg-4161	265	6	maximum	maximum	ADJ
fuelectenerg-4161	265	7	frequency	frequency	NOUN
fuelectenerg-4161	265	8	and	and	CCONJ
fuelectenerg-4161	265	9	number	number	NOUN
fuelectenerg-4161	265	10	of	of	ADP
fuelectenerg-4161	265	11	slice	slice	PROPN
fuelectenerg-4161	265	12	luts	luts	PROPN
fuelectenerg-4161	265	13	.	.	PUNCT
fuelectenerg-4161	266	1	table	table	NOUN
fuelectenerg-4161	266	2	5	5	NUM
fuelectenerg-4161	266	3	comparison	comparison	NOUN
fuelectenerg-4161	266	4	of	of	ADP
fuelectenerg-4161	266	5	synthesis	synthesis	NOUN
fuelectenerg-4161	266	6	results	result	NOUN
fuelectenerg-4161	266	7	of	of	ADP
fuelectenerg-4161	266	8	ecdsa	ecdsa	PROPN
fuelectenerg-4161	266	9	signature	signature	NOUN
fuelectenerg-4161	266	10	generation	generation	NOUN
fuelectenerg-4161	266	11	parameters	parameter	NOUN
fuelectenerg-4161	266	12	original	original	ADJ
fuelectenerg-4161	266	13	ecdsa	ecdsa	PROPN
fuelectenerg-4161	266	14	proposed	propose	VERB
fuelectenerg-4161	266	15	ecdsa	ecdsa	NOUN
fuelectenerg-4161	266	16	number	number	NOUN
fuelectenerg-4161	266	17	of	of	ADP
fuelectenerg-4161	266	18	slice	slice	PROPN
fuelectenerg-4161	266	19	luts	luts	PROPN
fuelectenerg-4161	266	20	16370	16370	NUM
fuelectenerg-4161	266	21	7853	7853	NUM
fuelectenerg-4161	266	22	max	max	PROPN
fuelectenerg-4161	266	23	.	.	PUNCT
fuelectenerg-4161	266	24	frequency(mhz	frequency(mhz	PROPN
fuelectenerg-4161	266	25	)	)	PUNCT
fuelectenerg-4161	266	26	13.180	13.180	NUM
fuelectenerg-4161	266	27	13.469	13.469	NUM
fuelectenerg-4161	266	28	table	table	NOUN
fuelectenerg-4161	266	29	6	6	NUM
fuelectenerg-4161	266	30	comparison	comparison	NOUN
fuelectenerg-4161	266	31	of	of	ADP
fuelectenerg-4161	266	32	synthesis	synthesis	NOUN
fuelectenerg-4161	266	33	results	result	NOUN
fuelectenerg-4161	266	34	ecdsa	ecdsa	PROPN
fuelectenerg-4161	266	35	signature	signature	NOUN
fuelectenerg-4161	266	36	verification	verification	NOUN
fuelectenerg-4161	266	37	parameters	parameter	NOUN
fuelectenerg-4161	266	38	original	original	ADJ
fuelectenerg-4161	266	39	ecdsa	ecdsa	PROPN
fuelectenerg-4161	266	40	proposed	propose	VERB
fuelectenerg-4161	266	41	ecdsa	ecdsa	NOUN
fuelectenerg-4161	266	42	number	number	NOUN
fuelectenerg-4161	266	43	of	of	ADP
fuelectenerg-4161	266	44	slice	slice	NOUN
fuelectenerg-4161	266	45	luts	luts	PROPN
fuelectenerg-4161	266	46	22734	22734	NUM
fuelectenerg-4161	267	1	16387	16387	NUM
fuelectenerg-4161	267	2	max	max	PROPN
fuelectenerg-4161	267	3	.	.	PUNCT
fuelectenerg-4161	267	4	frequency(mhz	frequency(mhz	PROPN
fuelectenerg-4161	267	5	)	)	PUNCT
fuelectenerg-4161	268	1	13.210	13.210	NUM
fuelectenerg-4161	269	1	13.156	13.156	NUM
fuelectenerg-4161	269	2	the	the	DET
fuelectenerg-4161	269	3	outcomes	outcome	NOUN
fuelectenerg-4161	269	4	obtained	obtain	VERB
fuelectenerg-4161	269	5	show	show	VERB
fuelectenerg-4161	269	6	that	that	SCONJ
fuelectenerg-4161	269	7	the	the	DET
fuelectenerg-4161	269	8	modified	modify	VERB
fuelectenerg-4161	269	9	ecdsa	ecdsa	PROPN
fuelectenerg-4161	269	10	scheme	scheme	NOUN
fuelectenerg-4161	269	11	is	be	AUX
fuelectenerg-4161	269	12	better	well	ADV
fuelectenerg-4161	269	13	suitable	suitable	ADJ
fuelectenerg-4161	269	14	for	for	ADP
fuelectenerg-4161	269	15	resource	resource	NOUN
fuelectenerg-4161	269	16	constrained	constrain	VERB
fuelectenerg-4161	269	17	devices	device	NOUN
fuelectenerg-4161	269	18	.	.	PUNCT
fuelectenerg-4161	270	1	the	the	DET
fuelectenerg-4161	270	2	maximum	maximum	ADJ
fuelectenerg-4161	270	3	achievable	achievable	ADJ
fuelectenerg-4161	270	4	frequency	frequency	NOUN
fuelectenerg-4161	270	5	of	of	ADP
fuelectenerg-4161	270	6	13.469	13.469	NUM
fuelectenerg-4161	270	7	mhz	mhz	NOUN
fuelectenerg-4161	270	8	is	be	AUX
fuelectenerg-4161	270	9	achieved	achieve	VERB
fuelectenerg-4161	270	10	for	for	ADP
fuelectenerg-4161	270	11	signature	signature	NOUN
fuelectenerg-4161	270	12	generation	generation	NOUN
fuelectenerg-4161	270	13	and	and	CCONJ
fuelectenerg-4161	270	14	maximum	maximum	ADJ
fuelectenerg-4161	270	15	achievable	achievable	ADJ
fuelectenerg-4161	270	16	frequency	frequency	NOUN
fuelectenerg-4161	270	17	of	of	ADP
fuelectenerg-4161	270	18	13.156	13.156	NUM
fuelectenerg-4161	270	19	mhz	mhz	NOUN
fuelectenerg-4161	270	20	is	be	AUX
fuelectenerg-4161	270	21	achieved	achieve	VERB
fuelectenerg-4161	270	22	for	for	ADP
fuelectenerg-4161	270	23	signature	signature	NOUN
fuelectenerg-4161	270	24	verification	verification	NOUN
fuelectenerg-4161	270	25	on	on	ADP
fuelectenerg-4161	270	26	virtex-5	virtex-5	NUM
fuelectenerg-4161	270	27	(	(	PUNCT
fuelectenerg-4161	270	28	xc5vlx50t-1ff1136	xc5vlx50t-1ff1136	PROPN
fuelectenerg-4161	270	29	)	)	PUNCT
fuelectenerg-4161	270	30	fpga	fpga	PROPN
fuelectenerg-4161	270	31	board	board	NOUN
fuelectenerg-4161	270	32	is	be	AUX
fuelectenerg-4161	270	33	better	well	ADJ
fuelectenerg-4161	270	34	than	than	ADP
fuelectenerg-4161	270	35	the	the	DET
fuelectenerg-4161	270	36	existing	exist	VERB
fuelectenerg-4161	270	37	ecdsa	ecdsa	NOUN
fuelectenerg-4161	270	38	schemes	scheme	NOUN
fuelectenerg-4161	270	39	.	.	PUNCT
fuelectenerg-4161	271	1	based	base	VERB
fuelectenerg-4161	271	2	on	on	ADP
fuelectenerg-4161	271	3	the	the	DET
fuelectenerg-4161	271	4	design	design	NOUN
fuelectenerg-4161	271	5	metric	metric	NOUN
fuelectenerg-4161	271	6	such	such	ADJ
fuelectenerg-4161	271	7	as	as	ADP
fuelectenerg-4161	271	8	frequency	frequency	NOUN
fuelectenerg-4161	271	9	(	(	PUNCT
fuelectenerg-4161	271	10	mhz	mhz	NOUN
fuelectenerg-4161	271	11	)	)	PUNCT
fuelectenerg-4161	271	12	and	and	CCONJ
fuelectenerg-4161	271	13	area	area	NOUN
fuelectenerg-4161	271	14	(	(	PUNCT
fuelectenerg-4161	271	15	slices	slice	NOUN
fuelectenerg-4161	271	16	/	/	SYM
fuelectenerg-4161	271	17	aluts	alut	NOUN
fuelectenerg-4161	271	18	)	)	PUNCT
fuelectenerg-4161	271	19	,	,	PUNCT
fuelectenerg-4161	271	20	the	the	DET
fuelectenerg-4161	271	21	modified	modify	VERB
fuelectenerg-4161	271	22	ecdsa	ecdsa	PROPN
fuelectenerg-4161	271	23	outperforms	outperform	VERB
fuelectenerg-4161	271	24	the	the	DET
fuelectenerg-4161	271	25	existing	exist	VERB
fuelectenerg-4161	271	26	ones	one	NOUN
fuelectenerg-4161	271	27	in	in	ADP
fuelectenerg-4161	271	28	terms	term	NOUN
fuelectenerg-4161	271	29	of	of	ADP
fuelectenerg-4161	271	30	time	time	NOUN
fuelectenerg-4161	271	31	for	for	ADP
fuelectenerg-4161	271	32	execution	execution	NOUN
fuelectenerg-4161	271	33	and	and	CCONJ
fuelectenerg-4161	271	34	slice	slice	NOUN
fuelectenerg-4161	271	35	luts	luts	PROPN
fuelectenerg-4161	271	36	required	require	VERB
fuelectenerg-4161	271	37	in	in	ADP
fuelectenerg-4161	271	38	fpga	fpga	PROPN
fuelectenerg-4161	271	39	device	device	NOUN
fuelectenerg-4161	271	40	.	.	PUNCT
fuelectenerg-4161	272	1	144	144	NUM
fuelectenerg-4161	272	2	v.	v.	ADP
fuelectenerg-4161	272	3	kamalakannan	kamalakannan	PROPN
fuelectenerg-4161	272	4	,	,	PUNCT
fuelectenerg-4161	272	5	s.	s.	PROPN
fuelectenerg-4161	272	6	tamilselvan	tamilselvan	VERB
fuelectenerg-4161	272	7	9	9	NUM
fuelectenerg-4161	272	8	.	.	PUNCT
fuelectenerg-4161	273	1	conclusion	conclusion	NOUN
fuelectenerg-4161	273	2	elliptic	elliptic	ADJ
fuelectenerg-4161	273	3	curve	curve	NOUN
fuelectenerg-4161	273	4	digital	digital	ADJ
fuelectenerg-4161	273	5	signature	signature	NOUN
fuelectenerg-4161	273	6	algorithm	algorithm	NOUN
fuelectenerg-4161	273	7	(	(	PUNCT
fuelectenerg-4161	273	8	ecdsa	ecdsa	PROPN
fuelectenerg-4161	273	9	)	)	PUNCT
fuelectenerg-4161	273	10	is	be	AUX
fuelectenerg-4161	273	11	one	one	NUM
fuelectenerg-4161	273	12	of	of	ADP
fuelectenerg-4161	273	13	the	the	DET
fuelectenerg-4161	273	14	primitives	primitive	NOUN
fuelectenerg-4161	273	15	of	of	ADP
fuelectenerg-4161	273	16	elliptic	elliptic	ADJ
fuelectenerg-4161	273	17	curve	curve	NOUN
fuelectenerg-4161	273	18	cryptography	cryptography	NOUN
fuelectenerg-4161	273	19	(	(	PUNCT
fuelectenerg-4161	273	20	ecc	ecc	PROPN
fuelectenerg-4161	273	21	)	)	PUNCT
fuelectenerg-4161	273	22	.	.	PUNCT
fuelectenerg-4161	274	1	the	the	DET
fuelectenerg-4161	274	2	sha-3	sha-3	NUM
fuelectenerg-4161	274	3	algorithms	algorithm	NOUN
fuelectenerg-4161	274	4	like	like	ADP
fuelectenerg-4161	274	5	keccak	keccak	PROPN
fuelectenerg-4161	274	6	provide	provide	VERB
fuelectenerg-4161	274	7	better	well	ADJ
fuelectenerg-4161	274	8	security	security	NOUN
fuelectenerg-4161	274	9	and	and	CCONJ
fuelectenerg-4161	274	10	proves	prove	VERB
fuelectenerg-4161	274	11	beneficial	beneficial	ADJ
fuelectenerg-4161	274	12	wherever	wherever	SCONJ
fuelectenerg-4161	274	13	security	security	NOUN
fuelectenerg-4161	274	14	constraints	constraint	NOUN
fuelectenerg-4161	274	15	have	have	VERB
fuelectenerg-4161	274	16	to	to	PART
fuelectenerg-4161	274	17	be	be	AUX
fuelectenerg-4161	274	18	achieved	achieve	VERB
fuelectenerg-4161	274	19	.	.	PUNCT
fuelectenerg-4161	275	1	here	here	ADV
fuelectenerg-4161	275	2	a	a	DET
fuelectenerg-4161	275	3	variant	variant	NOUN
fuelectenerg-4161	275	4	of	of	ADP
fuelectenerg-4161	275	5	keccak	keccak	PROPN
fuelectenerg-4161	275	6	-	-	PUNCT
fuelectenerg-4161	275	7	f	f	PROPN
fuelectenerg-4161	276	1	[	[	X
fuelectenerg-4161	276	2	1600	1600	NUM
fuelectenerg-4161	276	3	]	]	PUNCT
fuelectenerg-4161	276	4	having	have	VERB
fuelectenerg-4161	276	5	five	five	NUM
fuelectenerg-4161	276	6	steps	step	NOUN
fuelectenerg-4161	276	7	(	(	PUNCT
fuelectenerg-4161	276	8	𝜃	𝜃	NOUN
fuelectenerg-4161	276	9	step	step	NOUN
fuelectenerg-4161	276	10	,	,	PUNCT
fuelectenerg-4161	276	11	𝜌	𝜌	X
fuelectenerg-4161	276	12	𝑎𝑛𝑑	𝑎𝑛𝑑	ADJ
fuelectenerg-4161	276	13	𝜋	𝜋	NOUN
fuelectenerg-4161	276	14	step	step	NOUN
fuelectenerg-4161	276	15	,	,	PUNCT
fuelectenerg-4161	276	16	𝜒	𝜒	NOUN
fuelectenerg-4161	276	17	step	step	NOUN
fuelectenerg-4161	276	18	and	and	CCONJ
fuelectenerg-4161	276	19	𝜏	𝜏	PRON
fuelectenerg-4161	276	20	step	step	NOUN
fuelectenerg-4161	276	21	)	)	PUNCT
fuelectenerg-4161	276	22	repeated	repeat	VERB
fuelectenerg-4161	276	23	24	24	NUM
fuelectenerg-4161	276	24	times	time	NOUN
fuelectenerg-4161	276	25	were	be	AUX
fuelectenerg-4161	276	26	applied	apply	VERB
fuelectenerg-4161	276	27	to	to	PART
fuelectenerg-4161	276	28	generate	generate	VERB
fuelectenerg-4161	276	29	hashed	hashed	ADJ
fuelectenerg-4161	276	30	output	output	NOUN
fuelectenerg-4161	276	31	.	.	PUNCT
fuelectenerg-4161	277	1	generally	generally	ADV
fuelectenerg-4161	277	2	,	,	PUNCT
fuelectenerg-4161	277	3	modular	modular	ADJ
fuelectenerg-4161	277	4	inversion	inversion	NOUN
fuelectenerg-4161	277	5	is	be	AUX
fuelectenerg-4161	277	6	computed	compute	VERB
fuelectenerg-4161	277	7	using	use	VERB
fuelectenerg-4161	277	8	montgomery‟s	montgomery‟s	ADJ
fuelectenerg-4161	277	9	method	method	NOUN
fuelectenerg-4161	277	10	which	which	PRON
fuelectenerg-4161	277	11	consists	consist	VERB
fuelectenerg-4161	277	12	of	of	ADP
fuelectenerg-4161	277	13	a	a	DET
fuelectenerg-4161	277	14	gcd	gcd	NOUN
fuelectenerg-4161	277	15	operations	operation	NOUN
fuelectenerg-4161	277	16	.	.	PUNCT
fuelectenerg-4161	278	1	the	the	DET
fuelectenerg-4161	278	2	gcd	gcd	PROPN
fuelectenerg-4161	278	3	operation	operation	NOUN
fuelectenerg-4161	278	4	utilizes	utilize	VERB
fuelectenerg-4161	278	5	more	more	ADJ
fuelectenerg-4161	278	6	number	number	NOUN
fuelectenerg-4161	278	7	of	of	ADP
fuelectenerg-4161	278	8	arithmetical	arithmetical	ADJ
fuelectenerg-4161	278	9	operations	operation	NOUN
fuelectenerg-4161	278	10	.	.	PUNCT
fuelectenerg-4161	279	1	thus	thus	ADV
fuelectenerg-4161	279	2	computational	computational	ADJ
fuelectenerg-4161	279	3	cost	cost	NOUN
fuelectenerg-4161	279	4	increases	increase	NOUN
fuelectenerg-4161	279	5	when	when	SCONJ
fuelectenerg-4161	279	6	implemented	implement	VERB
fuelectenerg-4161	279	7	on	on	ADP
fuelectenerg-4161	279	8	fpga	fpga	PROPN
fuelectenerg-4161	279	9	as	as	ADP
fuelectenerg-4161	279	10	number	number	NOUN
fuelectenerg-4161	279	11	of	of	ADP
fuelectenerg-4161	279	12	operations	operation	NOUN
fuelectenerg-4161	279	13	increases	increase	NOUN
fuelectenerg-4161	279	14	.	.	PUNCT
fuelectenerg-4161	280	1	from	from	ADP
fuelectenerg-4161	280	2	the	the	DET
fuelectenerg-4161	280	3	analysis	analysis	NOUN
fuelectenerg-4161	280	4	,	,	PUNCT
fuelectenerg-4161	280	5	it	it	PRON
fuelectenerg-4161	280	6	is	be	AUX
fuelectenerg-4161	280	7	found	find	VERB
fuelectenerg-4161	280	8	that	that	SCONJ
fuelectenerg-4161	280	9	ecdsa	ecdsa	PROPN
fuelectenerg-4161	280	10	is	be	AUX
fuelectenerg-4161	280	11	vulnerable	vulnerable	ADJ
fuelectenerg-4161	280	12	to	to	ADP
fuelectenerg-4161	280	13	mim	mim	PROPN
fuelectenerg-4161	280	14	attack	attack	NOUN
fuelectenerg-4161	280	15	when	when	SCONJ
fuelectenerg-4161	280	16	the	the	DET
fuelectenerg-4161	280	17	same	same	ADJ
fuelectenerg-4161	280	18	key	key	NOUN
fuelectenerg-4161	280	19	is	be	AUX
fuelectenerg-4161	280	20	applied	apply	VERB
fuelectenerg-4161	280	21	for	for	ADP
fuelectenerg-4161	280	22	all	all	DET
fuelectenerg-4161	280	23	messages	message	NOUN
fuelectenerg-4161	280	24	.	.	PUNCT
fuelectenerg-4161	281	1	at	at	ADP
fuelectenerg-4161	281	2	the	the	DET
fuelectenerg-4161	281	3	same	same	ADJ
fuelectenerg-4161	281	4	time	time	NOUN
fuelectenerg-4161	281	5	if	if	SCONJ
fuelectenerg-4161	281	6	computational	computational	ADJ
fuelectenerg-4161	281	7	cost	cost	NOUN
fuelectenerg-4161	281	8	is	be	AUX
fuelectenerg-4161	281	9	reduced	reduce	VERB
fuelectenerg-4161	281	10	,	,	PUNCT
fuelectenerg-4161	281	11	then	then	ADV
fuelectenerg-4161	281	12	there	there	PRON
fuelectenerg-4161	281	13	are	be	VERB
fuelectenerg-4161	281	14	chances	chance	NOUN
fuelectenerg-4161	281	15	of	of	ADP
fuelectenerg-4161	281	16	signature	signature	NOUN
fuelectenerg-4161	281	17	being	be	AUX
fuelectenerg-4161	281	18	forged	forge	VERB
fuelectenerg-4161	281	19	by	by	ADP
fuelectenerg-4161	281	20	the	the	DET
fuelectenerg-4161	281	21	intruder	intruder	NOUN
fuelectenerg-4161	281	22	.	.	PUNCT
fuelectenerg-4161	282	1	therefore	therefore	ADV
fuelectenerg-4161	282	2	,	,	PUNCT
fuelectenerg-4161	282	3	the	the	DET
fuelectenerg-4161	282	4	modified	modify	VERB
fuelectenerg-4161	282	5	ecdsa	ecdsa	PROPN
fuelectenerg-4161	282	6	scheme	scheme	NOUN
fuelectenerg-4161	282	7	keeps	keep	VERB
fuelectenerg-4161	282	8	the	the	DET
fuelectenerg-4161	282	9	mathematical	mathematical	ADJ
fuelectenerg-4161	282	10	structure	structure	NOUN
fuelectenerg-4161	282	11	of	of	ADP
fuelectenerg-4161	282	12	ecdsa	ecdsa	NOUN
fuelectenerg-4161	282	13	and	and	CCONJ
fuelectenerg-4161	282	14	security	security	NOUN
fuelectenerg-4161	282	15	the	the	DET
fuelectenerg-4161	282	16	same	same	ADJ
fuelectenerg-4161	282	17	as	as	ADP
fuelectenerg-4161	282	18	the	the	DET
fuelectenerg-4161	282	19	original	original	ADJ
fuelectenerg-4161	282	20	ecdsa	ecdsa	NOUN
fuelectenerg-4161	282	21	scheme	scheme	NOUN
fuelectenerg-4161	282	22	,	,	PUNCT
fuelectenerg-4161	282	23	but	but	CCONJ
fuelectenerg-4161	282	24	reduces	reduce	VERB
fuelectenerg-4161	282	25	the	the	DET
fuelectenerg-4161	282	26	computational	computational	ADJ
fuelectenerg-4161	282	27	cost	cost	NOUN
fuelectenerg-4161	282	28	by	by	ADP
fuelectenerg-4161	282	29	reducing	reduce	VERB
fuelectenerg-4161	282	30	the	the	DET
fuelectenerg-4161	282	31	inverse	inverse	NOUN
fuelectenerg-4161	282	32	operation	operation	NOUN
fuelectenerg-4161	282	33	being	be	AUX
fuelectenerg-4161	282	34	applied	apply	VERB
fuelectenerg-4161	282	35	in	in	ADP
fuelectenerg-4161	282	36	the	the	DET
fuelectenerg-4161	282	37	key	key	ADJ
fuelectenerg-4161	282	38	generation	generation	NOUN
fuelectenerg-4161	282	39	and	and	CCONJ
fuelectenerg-4161	282	40	signing	signing	NOUN
fuelectenerg-4161	282	41	phase	phase	NOUN
fuelectenerg-4161	282	42	.	.	PUNCT
fuelectenerg-4161	283	1	also	also	ADV
fuelectenerg-4161	283	2	this	this	DET
fuelectenerg-4161	283	3	scheme	scheme	NOUN
fuelectenerg-4161	283	4	solves	solve	VERB
fuelectenerg-4161	283	5	the	the	DET
fuelectenerg-4161	283	6	problems	problem	NOUN
fuelectenerg-4161	283	7	related	relate	VERB
fuelectenerg-4161	283	8	to	to	ADP
fuelectenerg-4161	283	9	signature	signature	NOUN
fuelectenerg-4161	283	10	forging	forge	VERB
fuelectenerg-4161	283	11	due	due	ADP
fuelectenerg-4161	283	12	to	to	ADP
fuelectenerg-4161	283	13	the	the	DET
fuelectenerg-4161	283	14	available	available	ADJ
fuelectenerg-4161	283	15	public	public	ADJ
fuelectenerg-4161	283	16	parameters	parameter	NOUN
fuelectenerg-4161	283	17	(	(	PUNCT
fuelectenerg-4161	283	18	g	g	NOUN
fuelectenerg-4161	283	19	,	,	PUNCT
fuelectenerg-4161	283	20	n	n	CCONJ
fuelectenerg-4161	283	21	,	,	PUNCT
fuelectenerg-4161	283	22	p	p	X
fuelectenerg-4161	283	23	,	,	PUNCT
fuelectenerg-4161	283	24	qs	qs	NOUN
fuelectenerg-4161	283	25	)	)	PUNCT
fuelectenerg-4161	283	26	.	.	PUNCT
fuelectenerg-4161	284	1	these	these	PRON
fuelectenerg-4161	284	2	are	be	AUX
fuelectenerg-4161	284	3	achieved	achieve	VERB
fuelectenerg-4161	284	4	by	by	ADP
fuelectenerg-4161	284	5	using	use	VERB
fuelectenerg-4161	284	6	hidden	hide	VERB
fuelectenerg-4161	284	7	generator	generator	NOUN
fuelectenerg-4161	284	8	concept	concept	NOUN
fuelectenerg-4161	284	9	.	.	PUNCT
fuelectenerg-4161	285	1	hence	hence	ADV
fuelectenerg-4161	285	2	this	this	DET
fuelectenerg-4161	285	3	scheme	scheme	NOUN
fuelectenerg-4161	285	4	has	have	VERB
fuelectenerg-4161	285	5	more	more	ADJ
fuelectenerg-4161	285	6	security	security	NOUN
fuelectenerg-4161	285	7	with	with	ADP
fuelectenerg-4161	285	8	less	less	ADJ
fuelectenerg-4161	285	9	computational	computational	ADJ
fuelectenerg-4161	285	10	cost	cost	NOUN
fuelectenerg-4161	285	11	,	,	PUNCT
fuelectenerg-4161	285	12	therefore	therefore	ADV
fuelectenerg-4161	285	13	can	can	AUX
fuelectenerg-4161	285	14	be	be	AUX
fuelectenerg-4161	285	15	implemented	implement	VERB
fuelectenerg-4161	285	16	in	in	ADP
fuelectenerg-4161	285	17	the	the	DET
fuelectenerg-4161	285	18	perceptual	perceptual	ADJ
fuelectenerg-4161	285	19	layer	layer	NOUN
fuelectenerg-4161	285	20	devices	device	NOUN
fuelectenerg-4161	285	21	in	in	ADP
fuelectenerg-4161	285	22	iot	iot	PROPN
fuelectenerg-4161	285	23	i.e.	i.e.	X
fuelectenerg-4161	285	24	,	,	PUNCT
fuelectenerg-4161	285	25	the	the	DET
fuelectenerg-4161	285	26	ecdsa	ecdsa	NOUN
fuelectenerg-4161	285	27	can	can	AUX
fuelectenerg-4161	285	28	be	be	AUX
fuelectenerg-4161	285	29	applied	apply	VERB
fuelectenerg-4161	285	30	for	for	ADP
fuelectenerg-4161	285	31	securing	secure	VERB
fuelectenerg-4161	285	32	the	the	DET
fuelectenerg-4161	285	33	information	information	NOUN
fuelectenerg-4161	285	34	communicated	communicate	VERB
fuelectenerg-4161	285	35	by	by	ADP
fuelectenerg-4161	285	36	devices	device	NOUN
fuelectenerg-4161	285	37	such	such	ADJ
fuelectenerg-4161	285	38	as	as	ADP
fuelectenerg-4161	285	39	wsns	wsns	NOUN
fuelectenerg-4161	285	40	,	,	PUNCT
fuelectenerg-4161	285	41	rfids	rfid	NOUN
fuelectenerg-4161	285	42	,	,	PUNCT
fuelectenerg-4161	285	43	etc	etc	X
fuelectenerg-4161	285	44	.	.	X
fuelectenerg-4161	285	45	,	,	PUNCT
fuelectenerg-4161	285	46	having	have	VERB
fuelectenerg-4161	285	47	limited	limit	VERB
fuelectenerg-4161	285	48	memory	memory	NOUN
fuelectenerg-4161	285	49	and	and	CCONJ
fuelectenerg-4161	285	50	computational	computational	ADJ
fuelectenerg-4161	285	51	capacity	capacity	NOUN
fuelectenerg-4161	285	52	.	.	PUNCT
fuelectenerg-4161	286	1	since	since	SCONJ
fuelectenerg-4161	286	2	fpgas	fpga	NOUN
fuelectenerg-4161	286	3	are	be	AUX
fuelectenerg-4161	286	4	used	use	VERB
fuelectenerg-4161	286	5	as	as	ADP
fuelectenerg-4161	286	6	end	end	NOUN
fuelectenerg-4161	286	7	products	product	NOUN
fuelectenerg-4161	286	8	,	,	PUNCT
fuelectenerg-4161	286	9	the	the	DET
fuelectenerg-4161	286	10	design	design	NOUN
fuelectenerg-4161	286	11	of	of	ADP
fuelectenerg-4161	286	12	ecdsa	ecdsa	PROPN
fuelectenerg-4161	286	13	is	be	AUX
fuelectenerg-4161	286	14	fine	fine	ADV
fuelectenerg-4161	286	15	-	-	PUNCT
fuelectenerg-4161	286	16	tuned	tune	VERB
fuelectenerg-4161	286	17	for	for	ADP
fuelectenerg-4161	286	18	fpga	fpga	PROPN
fuelectenerg-4161	286	19	implementation	implementation	NOUN
fuelectenerg-4161	286	20	.	.	PUNCT
fuelectenerg-4161	287	1	the	the	DET
fuelectenerg-4161	287	2	work	work	NOUN
fuelectenerg-4161	287	3	can	can	AUX
fuelectenerg-4161	287	4	be	be	AUX
fuelectenerg-4161	287	5	extended	extend	VERB
fuelectenerg-4161	287	6	by	by	ADP
fuelectenerg-4161	287	7	considering	consider	VERB
fuelectenerg-4161	287	8	advanced	advanced	ADJ
fuelectenerg-4161	287	9	fpgas	fpgas	NOUN
fuelectenerg-4161	287	10	where	where	SCONJ
fuelectenerg-4161	287	11	parallelism	parallelism	NOUN
fuelectenerg-4161	287	12	can	can	AUX
fuelectenerg-4161	287	13	be	be	AUX
fuelectenerg-4161	287	14	exploited	exploit	VERB
fuelectenerg-4161	287	15	in	in	ADP
fuelectenerg-4161	287	16	the	the	DET
fuelectenerg-4161	287	17	architecture	architecture	NOUN
fuelectenerg-4161	287	18	to	to	PART
fuelectenerg-4161	287	19	reduce	reduce	VERB
fuelectenerg-4161	287	20	the	the	DET
fuelectenerg-4161	287	21	delay	delay	NOUN
fuelectenerg-4161	287	22	in	in	ADP
fuelectenerg-4161	287	23	the	the	DET
fuelectenerg-4161	287	24	asymmetrical	asymmetrical	ADJ
fuelectenerg-4161	287	25	cryptography	cryptography	NOUN
fuelectenerg-4161	287	26	.	.	PUNCT
fuelectenerg-4161	288	1	references	reference	NOUN
fuelectenerg-4161	288	2	[	[	X
fuelectenerg-4161	288	3	1	1	NUM
fuelectenerg-4161	288	4	]	]	X
fuelectenerg-4161	288	5	n.	n.	NOUN
fuelectenerg-4161	288	6	koblitz	koblitz	PROPN
fuelectenerg-4161	288	7	,	,	PUNCT
fuelectenerg-4161	288	8	a.	a.	PROPN
fuelectenerg-4161	288	9	j.	j.	PROPN
fuelectenerg-4161	288	10	menezes	menezes	PROPN
fuelectenerg-4161	288	11	,	,	PUNCT
fuelectenerg-4161	288	12	and	and	CCONJ
fuelectenerg-4161	288	13	s.	s.	PROPN
fuelectenerg-4161	288	14	a.	a.	PROPN
fuelectenerg-4161	288	15	vanstone	vanstone	PROPN
fuelectenerg-4161	288	16	,	,	PUNCT
fuelectenerg-4161	288	17	“	"	PUNCT
fuelectenerg-4161	288	18	the	the	DET
fuelectenerg-4161	288	19	state	state	NOUN
fuelectenerg-4161	288	20	of	of	ADP
fuelectenerg-4161	288	21	elliptic	elliptic	ADJ
fuelectenerg-4161	288	22	curve	curve	NOUN
fuelectenerg-4161	288	23	cryptography	cryptography	NOUN
fuelectenerg-4161	288	24	”	"	PUNCT
fuelectenerg-4161	288	25	,	,	PUNCT
fuelectenerg-4161	288	26	design	design	NOUN
fuelectenerg-4161	288	27	,	,	PUNCT
fuelectenerg-4161	288	28	codes	code	NOUN
fuelectenerg-4161	288	29	,	,	PUNCT
fuelectenerg-4161	288	30	and	and	CCONJ
fuelectenerg-4161	288	31	cryptography	cryptography	NOUN
fuelectenerg-4161	288	32	,	,	PUNCT
fuelectenerg-4161	288	33	vol	vol	NOUN
fuelectenerg-4161	288	34	.	.	PROPN
fuelectenerg-4161	288	35	19	19	NUM
fuelectenerg-4161	288	36	,	,	PUNCT
fuelectenerg-4161	288	37	issue	issue	NOUN
fuelectenerg-4161	288	38	2	2	NUM
fuelectenerg-4161	288	39	-	-	SYM
fuelectenerg-4161	288	40	3	3	NUM
fuelectenerg-4161	288	41	,	,	PUNCT
fuelectenerg-4161	288	42	pp.173	pp.173	PROPN
fuelectenerg-4161	288	43	-	-	SYM
fuelectenerg-4161	288	44	193	193	NUM
fuelectenerg-4161	288	45	,	,	PUNCT
fuelectenerg-4161	288	46	2000	2000	NUM
fuelectenerg-4161	288	47	.	.	PUNCT
fuelectenerg-4161	289	1	[	[	X
fuelectenerg-4161	289	2	2	2	X
fuelectenerg-4161	289	3	]	]	X
fuelectenerg-4161	289	4	v.	v.	X
fuelectenerg-4161	289	5	miller	miller	PROPN
fuelectenerg-4161	289	6	,	,	PUNCT
fuelectenerg-4161	289	7	“	"	PUNCT
fuelectenerg-4161	289	8	use	use	NOUN
fuelectenerg-4161	289	9	of	of	ADP
fuelectenerg-4161	289	10	elliptic	elliptic	ADJ
fuelectenerg-4161	289	11	curves	curve	NOUN
fuelectenerg-4161	289	12	in	in	ADP
fuelectenerg-4161	289	13	cryptography	cryptography	NOUN
fuelectenerg-4161	289	14	”	"	PUNCT
fuelectenerg-4161	289	15	,	,	PUNCT
fuelectenerg-4161	289	16	advances	advance	NOUN
fuelectenerg-4161	289	17	in	in	ADP
fuelectenerg-4161	289	18	cryptography	cryptography	NOUN
fuelectenerg-4161	289	19	-	-	PUNCT
fuelectenerg-4161	289	20	crypto	crypto	NOUN
fuelectenerg-4161	289	21	‟85	‟85	NOUN
fuelectenerg-4161	289	22	.	.	PROPN
fuelectenerg-4161	289	23	lncs	lncs	PROPN
fuelectenerg-4161	289	24	218	218	NUM
fuelectenerg-4161	289	25	,	,	PUNCT
fuelectenerg-4161	289	26	springer	springer	NOUN
fuelectenerg-4161	289	27	verlag	verlag	NOUN
fuelectenerg-4161	289	28	,	,	PUNCT
fuelectenerg-4161	289	29	1986	1986	NUM
fuelectenerg-4161	289	30	,	,	PUNCT
fuelectenerg-4161	289	31	pp	pp	ADJ
fuelectenerg-4161	289	32	.	.	PUNCT
fuelectenerg-4161	290	1	417	417	NUM
fuelectenerg-4161	290	2	-	-	SYM
fuelectenerg-4161	290	3	426	426	NUM
fuelectenerg-4161	290	4	.	.	PUNCT
fuelectenerg-4161	291	1	[	[	X
fuelectenerg-4161	291	2	3	3	X
fuelectenerg-4161	291	3	]	]	X
fuelectenerg-4161	291	4	g.	g.	NOUN
fuelectenerg-4161	291	5	provelengios	provelengios	PROPN
fuelectenerg-4161	291	6	,	,	PUNCT
fuelectenerg-4161	291	7	p.	p.	NOUN
fuelectenerg-4161	291	8	kitsos	kitsos	PROPN
fuelectenerg-4161	291	9	,	,	PUNCT
fuelectenerg-4161	291	10	n.	n.	NOUN
fuelectenerg-4161	291	11	sklavos	sklavos	NOUN
fuelectenerg-4161	291	12	,	,	PUNCT
fuelectenerg-4161	291	13	and	and	CCONJ
fuelectenerg-4161	291	14	c.	c.	PROPN
fuelectenerg-4161	291	15	koulamas	koulamas	PROPN
fuelectenerg-4161	291	16	,	,	PUNCT
fuelectenerg-4161	291	17	“	"	PUNCT
fuelectenerg-4161	291	18	fpga	fpga	NOUN
fuelectenerg-4161	291	19	-	-	PUNCT
fuelectenerg-4161	291	20	based	base	VERB
fuelectenerg-4161	291	21	design	design	NOUN
fuelectenerg-4161	291	22	approaches	approach	NOUN
fuelectenerg-4161	291	23	of	of	ADP
fuelectenerg-4161	291	24	keccak	keccak	PROPN
fuelectenerg-4161	291	25	hash	hash	NOUN
fuelectenerg-4161	291	26	function	function	NOUN
fuelectenerg-4161	291	27	,	,	PUNCT
fuelectenerg-4161	291	28	”	"	PUNCT
fuelectenerg-4161	291	29	in	in	ADP
fuelectenerg-4161	291	30	proceedings	proceeding	NOUN
fuelectenerg-4161	291	31	of	of	ADP
fuelectenerg-4161	291	32	the	the	DET
fuelectenerg-4161	291	33	15th	15th	ADJ
fuelectenerg-4161	291	34	euromicro	euromicro	PROPN
fuelectenerg-4161	291	35	conference	conference	NOUN
fuelectenerg-4161	291	36	,	,	PUNCT
fuelectenerg-4161	291	37	2012	2012	NUM
fuelectenerg-4161	291	38	,	,	PUNCT
fuelectenerg-4161	291	39	pp	pp	ADV
fuelectenerg-4161	291	40	.	.	PUNCT
fuelectenerg-4161	292	1	648	648	NUM
fuelectenerg-4161	292	2	-	-	SYM
fuelectenerg-4161	292	3	653	653	NUM
fuelectenerg-4161	292	4	.	.	PUNCT
fuelectenerg-4161	293	1	[	[	X
fuelectenerg-4161	293	2	4	4	X
fuelectenerg-4161	293	3	]	]	PUNCT
fuelectenerg-4161	293	4	d.	d.	NOUN
fuelectenerg-4161	293	5	manel	manel	PROPN
fuelectenerg-4161	293	6	,	,	PUNCT
fuelectenerg-4161	293	7	o.	o.	PROPN
fuelectenerg-4161	293	8	raouf	raouf	PROPN
fuelectenerg-4161	293	9	,	,	PUNCT
fuelectenerg-4161	293	10	h.	h.	PROPN
fuelectenerg-4161	293	11	ramzi	ramzi	PROPN
fuelectenerg-4161	293	12	and	and	CCONJ
fuelectenerg-4161	293	13	a.	a.	PROPN
fuelectenerg-4161	293	14	mtibaa	mtibaa	PROPN
fuelectenerg-4161	293	15	,	,	PUNCT
fuelectenerg-4161	293	16	“	"	PUNCT
fuelectenerg-4161	293	17	hash	hash	NOUN
fuelectenerg-4161	293	18	function	function	NOUN
fuelectenerg-4161	293	19	and	and	CCONJ
fuelectenerg-4161	293	20	digital	digital	ADJ
fuelectenerg-4161	293	21	signature	signature	NOUN
fuelectenerg-4161	293	22	based	base	VERB
fuelectenerg-4161	293	23	on	on	ADP
fuelectenerg-4161	293	24	elliptic	elliptic	ADJ
fuelectenerg-4161	293	25	curve	curve	NOUN
fuelectenerg-4161	293	26	”	"	PUNCT
fuelectenerg-4161	293	27	,	,	PUNCT
fuelectenerg-4161	293	28	in	in	ADP
fuelectenerg-4161	293	29	proceedings	proceeding	NOUN
fuelectenerg-4161	293	30	of	of	ADP
fuelectenerg-4161	293	31	the	the	DET
fuelectenerg-4161	293	32	14th	14th	ADJ
fuelectenerg-4161	293	33	international	international	ADJ
fuelectenerg-4161	293	34	conference	conference	NOUN
fuelectenerg-4161	293	35	on	on	ADP
fuelectenerg-4161	293	36	sciences	science	NOUN
fuelectenerg-4161	293	37	and	and	CCONJ
fuelectenerg-4161	293	38	techniques	technique	NOUN
fuelectenerg-4161	293	39	of	of	ADP
fuelectenerg-4161	293	40	automatic	automatic	ADJ
fuelectenerg-4161	293	41	control	control	NOUN
fuelectenerg-4161	293	42	&	&	CCONJ
fuelectenerg-4161	293	43	computer	computer	PROPN
fuelectenerg-4161	293	44	engineering	engineering	PROPN
fuelectenerg-4161	293	45	sta'2013	sta'2013	PROPN
fuelectenerg-4161	293	46	,	,	PUNCT
fuelectenerg-4161	293	47	sousse	sousse	PROPN
fuelectenerg-4161	293	48	,	,	PUNCT
fuelectenerg-4161	293	49	tunisia	tunisia	PROPN
fuelectenerg-4161	293	50	,	,	PUNCT
fuelectenerg-4161	293	51	december	december	PROPN
fuelectenerg-4161	293	52	20	20	NUM
fuelectenerg-4161	293	53	-	-	SYM
fuelectenerg-4161	293	54	22	22	NUM
fuelectenerg-4161	293	55	,	,	PUNCT
fuelectenerg-4161	293	56	2013	2013	NUM
fuelectenerg-4161	293	57	pp	pp	NOUN
fuelectenerg-4161	293	58	.	.	PUNCT
fuelectenerg-4161	294	1	388	388	NUM
fuelectenerg-4161	294	2	-	-	SYM
fuelectenerg-4161	294	3	392	392	NUM
fuelectenerg-4161	294	4	.	.	PUNCT
fuelectenerg-4161	295	1	[	[	X
fuelectenerg-4161	295	2	5	5	X
fuelectenerg-4161	295	3	]	]	PUNCT
fuelectenerg-4161	295	4	k.	k.	PROPN
fuelectenerg-4161	295	5	latif	latif	PROPN
fuelectenerg-4161	295	6	,	,	PUNCT
fuelectenerg-4161	295	7	m.	m.	PROPN
fuelectenerg-4161	295	8	m.	m.	PROPN
fuelectenerg-4161	295	9	rao	rao	PROPN
fuelectenerg-4161	295	10	,	,	PUNCT
fuelectenerg-4161	295	11	a.	a.	PROPN
fuelectenerg-4161	295	12	aziz	aziz	PROPN
fuelectenerg-4161	295	13	,	,	PUNCT
fuelectenerg-4161	295	14	and	and	CCONJ
fuelectenerg-4161	295	15	a.	a.	NOUN
fuelectenerg-4161	295	16	mahboob	mahboob	PROPN
fuelectenerg-4161	295	17	,	,	PUNCT
fuelectenerg-4161	295	18	“	"	PUNCT
fuelectenerg-4161	295	19	efficient	efficient	ADJ
fuelectenerg-4161	295	20	hardware	hardware	NOUN
fuelectenerg-4161	295	21	implementations	implementation	NOUN
fuelectenerg-4161	295	22	and	and	CCONJ
fuelectenerg-4161	295	23	hardware	hardware	NOUN
fuelectenerg-4161	295	24	performance	performance	NOUN
fuelectenerg-4161	295	25	evaluation	evaluation	NOUN
fuelectenerg-4161	295	26	of	of	ADP
fuelectenerg-4161	295	27	sha-3	sha-3	NOUN
fuelectenerg-4161	295	28	finalists	finalist	NOUN
fuelectenerg-4161	295	29	,	,	PUNCT
fuelectenerg-4161	295	30	”	"	PUNCT
fuelectenerg-4161	295	31	in	in	ADP
fuelectenerg-4161	295	32	proceeding	proceeding	NOUN
fuelectenerg-4161	295	33	of	of	ADP
fuelectenerg-4161	295	34	3rd	3rd	ADJ
fuelectenerg-4161	295	35	sha-3	sha-3	PART
fuelectenerg-4161	295	36	candidate	candidate	NOUN
fuelectenerg-4161	295	37	conference	conference	NOUN
fuelectenerg-4161	295	38	,	,	PUNCT
fuelectenerg-4161	295	39	march	march	PROPN
fuelectenerg-4161	295	40	2012	2012	NUM
fuelectenerg-4161	295	41	.	.	PUNCT
fuelectenerg-4161	296	1	[	[	X
fuelectenerg-4161	296	2	6	6	NUM
fuelectenerg-4161	296	3	]	]	PUNCT
fuelectenerg-4161	296	4	s.	s.	PROPN
fuelectenerg-4161	296	5	p.	p.	PROPN
fuelectenerg-4161	296	6	raj	raj	PROPN
fuelectenerg-4161	296	7	,	,	PUNCT
fuelectenerg-4161	296	8	a.	a.	PROPN
fuelectenerg-4161	296	9	p.	p.	PROPN
fuelectenerg-4161	296	10	renold	renold	NOUN
fuelectenerg-4161	296	11	,	,	PUNCT
fuelectenerg-4161	296	12	“	"	PUNCT
fuelectenerg-4161	296	13	an	an	DET
fuelectenerg-4161	296	14	enhanced	enhanced	ADJ
fuelectenerg-4161	296	15	elliptic	elliptic	ADJ
fuelectenerg-4161	296	16	curve	curve	NOUN
fuelectenerg-4161	296	17	algorithm	algorithm	NOUN
fuelectenerg-4161	296	18	for	for	ADP
fuelectenerg-4161	296	19	secured	secured	ADJ
fuelectenerg-4161	296	20	data	datum	NOUN
fuelectenerg-4161	296	21	transmission	transmission	NOUN
fuelectenerg-4161	296	22	in	in	ADP
fuelectenerg-4161	296	23	wireless	wireless	ADJ
fuelectenerg-4161	296	24	sensor	sensor	NOUN
fuelectenerg-4161	296	25	network	network	NOUN
fuelectenerg-4161	296	26	”	"	PUNCT
fuelectenerg-4161	296	27	,	,	PUNCT
fuelectenerg-4161	296	28	in	in	ADP
fuelectenerg-4161	296	29	proceedings	proceeding	NOUN
fuelectenerg-4161	296	30	of	of	ADP
fuelectenerg-4161	296	31	global	global	ADJ
fuelectenerg-4161	296	32	conference	conference	NOUN
fuelectenerg-4161	296	33	on	on	ADP
fuelectenerg-4161	296	34	communication	communication	NOUN
fuelectenerg-4161	296	35	technologies	technology	NOUN
fuelectenerg-4161	296	36	(	(	PUNCT
fuelectenerg-4161	296	37	gcct	gcct	NOUN
fuelectenerg-4161	296	38	2015	2015	NUM
fuelectenerg-4161	296	39	)	)	PUNCT
fuelectenerg-4161	296	40	,	,	PUNCT
fuelectenerg-4161	296	41	pp	pp	PROPN
fuelectenerg-4161	296	42	.	.	PUNCT
fuelectenerg-4161	296	43	891	891	NUM
fuelectenerg-4161	296	44	-	-	SYM
fuelectenerg-4161	296	45	896	896	NUM
fuelectenerg-4161	296	46	.	.	PUNCT
fuelectenerg-4161	297	1	[	[	X
fuelectenerg-4161	297	2	7	7	NUM
fuelectenerg-4161	297	3	]	]	PUNCT
fuelectenerg-4161	297	4	a.	a.	NOUN
fuelectenerg-4161	297	5	khalique	khalique	PROPN
fuelectenerg-4161	297	6	,	,	PUNCT
fuelectenerg-4161	297	7	k.	k.	PROPN
fuelectenerg-4161	297	8	singh	singh	PROPN
fuelectenerg-4161	297	9	,	,	PUNCT
fuelectenerg-4161	297	10	s.	s.	PROPN
fuelectenerg-4161	297	11	sood	sood	PROPN
fuelectenerg-4161	297	12	,	,	PUNCT
fuelectenerg-4161	297	13	“	"	PUNCT
fuelectenerg-4161	297	14	implementation	implementation	NOUN
fuelectenerg-4161	297	15	of	of	ADP
fuelectenerg-4161	297	16	elliptic	elliptic	ADJ
fuelectenerg-4161	297	17	curve	curve	NOUN
fuelectenerg-4161	297	18	digital	digital	ADJ
fuelectenerg-4161	297	19	signature	signature	NOUN
fuelectenerg-4161	297	20	algorithm	algorithm	NOUN
fuelectenerg-4161	297	21	”	"	PUNCT
fuelectenerg-4161	297	22	,	,	PUNCT
fuelectenerg-4161	297	23	international	international	ADJ
fuelectenerg-4161	297	24	journal	journal	NOUN
fuelectenerg-4161	297	25	of	of	ADP
fuelectenerg-4161	297	26	computer	computer	NOUN
fuelectenerg-4161	297	27	applications	application	NOUN
fuelectenerg-4161	297	28	,	,	PUNCT
fuelectenerg-4161	297	29	vol	vol	NOUN
fuelectenerg-4161	297	30	.	.	PROPN
fuelectenerg-4161	297	31	2	2	NUM
fuelectenerg-4161	297	32	,	,	PUNCT
fuelectenerg-4161	297	33	no	no	INTJ
fuelectenerg-4161	297	34	.	.	NOUN
fuelectenerg-4161	297	35	2	2	NUM
fuelectenerg-4161	297	36	,	,	PUNCT
fuelectenerg-4161	297	37	pp	pp	ADJ
fuelectenerg-4161	297	38	.	.	PUNCT
fuelectenerg-4161	298	1	21	21	NUM
fuelectenerg-4161	298	2	-	-	SYM
fuelectenerg-4161	298	3	27	27	NUM
fuelectenerg-4161	298	4	,	,	PUNCT
fuelectenerg-4161	298	5	may	may	AUX
fuelectenerg-4161	298	6	2010	2010	NUM
fuelectenerg-4161	298	7	.	.	PUNCT
fuelectenerg-4161	299	1	[	[	X
fuelectenerg-4161	299	2	8	8	NUM
fuelectenerg-4161	299	3	]	]	X
fuelectenerg-4161	299	4	e.	e.	PROPN
fuelectenerg-4161	299	5	wajih	wajih	PROPN
fuelectenerg-4161	299	6	,	,	PUNCT
fuelectenerg-4161	299	7	b.	b.	PROPN
fuelectenerg-4161	299	8	noura	noura	PROPN
fuelectenerg-4161	299	9	,	,	PUNCT
fuelectenerg-4161	299	10	m.	m.	PROPN
fuelectenerg-4161	299	11	mohsen	mohsen	PROPN
fuelectenerg-4161	299	12	&	&	CCONJ
fuelectenerg-4161	299	13	t.	t.	PROPN
fuelectenerg-4161	299	14	rached	rached	PROPN
fuelectenerg-4161	299	15	,	,	PUNCT
fuelectenerg-4161	299	16	“	"	PUNCT
fuelectenerg-4161	299	17	low	low	ADJ
fuelectenerg-4161	299	18	power	power	NOUN
fuelectenerg-4161	299	19	elliptic	elliptic	ADJ
fuelectenerg-4161	299	20	curve	curve	NOUN
fuelectenerg-4161	299	21	digital	digital	ADJ
fuelectenerg-4161	299	22	signature	signature	NOUN
fuelectenerg-4161	299	23	design	design	NOUN
fuelectenerg-4161	299	24	for	for	ADP
fuelectenerg-4161	299	25	constrained	constrained	ADJ
fuelectenerg-4161	299	26	devices	device	NOUN
fuelectenerg-4161	299	27	”	"	PUNCT
fuelectenerg-4161	299	28	,	,	PUNCT
fuelectenerg-4161	299	29	international	international	ADJ
fuelectenerg-4161	299	30	journal	journal	NOUN
fuelectenerg-4161	299	31	of	of	ADP
fuelectenerg-4161	299	32	security	security	NOUN
fuelectenerg-4161	299	33	(	(	PUNCT
fuelectenerg-4161	299	34	ijs	ijs	PROPN
fuelectenerg-4161	299	35	)	)	PUNCT
fuelectenerg-4161	299	36	,	,	PUNCT
fuelectenerg-4161	299	37	vol	vol	NOUN
fuelectenerg-4161	299	38	.	.	PROPN
fuelectenerg-4161	299	39	6	6	NUM
fuelectenerg-4161	299	40	,	,	PUNCT
fuelectenerg-4161	299	41	no.2	no.2	PROPN
fuelectenerg-4161	299	42	,	,	PUNCT
fuelectenerg-4161	299	43	pp	pp	ADJ
fuelectenerg-4161	299	44	.	.	PUNCT
fuelectenerg-4161	300	1	1	1	NUM
fuelectenerg-4161	300	2	-	-	SYM
fuelectenerg-4161	300	3	14	14	NUM
fuelectenerg-4161	300	4	,	,	PUNCT
fuelectenerg-4161	300	5	april	april	PROPN
fuelectenerg-4161	300	6	2012	2012	NUM
fuelectenerg-4161	300	7	.	.	PUNCT
fuelectenerg-4161	301	1	[	[	X
fuelectenerg-4161	301	2	9	9	NUM
fuelectenerg-4161	301	3	]	]	X
fuelectenerg-4161	301	4	g.	g.	PROPN
fuelectenerg-4161	301	5	sarath	sarath	PROPN
fuelectenerg-4161	301	6	,	,	PUNCT
fuelectenerg-4161	301	7	d.	d.	PROPN
fuelectenerg-4161	301	8	c.	c.	PROPN
fuelectenerg-4161	301	9	jinwala	jinwala	PROPN
fuelectenerg-4161	301	10	and	and	CCONJ
fuelectenerg-4161	301	11	s.	s.	PROPN
fuelectenerg-4161	301	12	patel	patel	PROPN
fuelectenerg-4161	301	13	,	,	PUNCT
fuelectenerg-4161	301	14	“	"	PUNCT
fuelectenerg-4161	301	15	a	a	DET
fuelectenerg-4161	301	16	survey	survey	NOUN
fuelectenerg-4161	301	17	on	on	ADP
fuelectenerg-4161	301	18	elliptic	elliptic	ADJ
fuelectenerg-4161	301	19	curve	curve	NOUN
fuelectenerg-4161	301	20	digital	digital	ADJ
fuelectenerg-4161	301	21	signature	signature	NOUN
fuelectenerg-4161	301	22	algorithm	algorithm	NOUN
fuelectenerg-4161	301	23	and	and	CCONJ
fuelectenerg-4161	301	24	its	its	PRON
fuelectenerg-4161	301	25	variants	variant	NOUN
fuelectenerg-4161	301	26	”	"	PUNCT
fuelectenerg-4161	301	27	,	,	PUNCT
fuelectenerg-4161	301	28	computer	computer	NOUN
fuelectenerg-4161	301	29	science	science	PROPN
fuelectenerg-4161	301	30	&	&	CCONJ
fuelectenerg-4161	301	31	information	information	PROPN
fuelectenerg-4161	301	32	technology	technology	NOUN
fuelectenerg-4161	301	33	(	(	PUNCT
fuelectenerg-4161	301	34	cs	cs	PROPN
fuelectenerg-4161	301	35	&	&	CCONJ
fuelectenerg-4161	301	36	it	it	PRON
fuelectenerg-4161	301	37	)	)	PUNCT
fuelectenerg-4161	301	38	–	–	PUNCT
fuelectenerg-4161	301	39	cscp	cscp	ADJ
fuelectenerg-4161	301	40	,	,	PUNCT
fuelectenerg-4161	301	41	2014	2014	NUM
fuelectenerg-4161	301	42	,	,	PUNCT
fuelectenerg-4161	301	43	pp	pp	ADV
fuelectenerg-4161	301	44	.	.	PUNCT
fuelectenerg-4161	302	1	121–136	121–136	NUM
fuelectenerg-4161	302	2	.	.	PUNCT
fuelectenerg-4161	303	1	[	[	X
fuelectenerg-4161	303	2	10	10	NUM
fuelectenerg-4161	303	3	]	]	X
fuelectenerg-4161	303	4	a.	a.	PROPN
fuelectenerg-4161	303	5	i.	i.	PROPN
fuelectenerg-4161	303	6	ali	ali	PROPN
fuelectenerg-4161	303	7	,	,	PUNCT
fuelectenerg-4161	303	8	h.	h.	PROPN
fuelectenerg-4161	303	9	p.	p.	PROPN
fuelectenerg-4161	303	10	isitc	isitc	PROPN
fuelectenerg-4161	303	11	,	,	PUNCT
fuelectenerg-4161	303	12	“	"	PUNCT
fuelectenerg-4161	303	13	comparison	comparison	NOUN
fuelectenerg-4161	303	14	and	and	CCONJ
fuelectenerg-4161	303	15	evaluation	evaluation	NOUN
fuelectenerg-4161	303	16	of	of	ADP
fuelectenerg-4161	303	17	digital	digital	ADJ
fuelectenerg-4161	303	18	signature	signature	NOUN
fuelectenerg-4161	303	19	schemes	scheme	NOUN
fuelectenerg-4161	303	20	employed	employ	VERB
fuelectenerg-4161	303	21	in	in	ADP
fuelectenerg-4161	303	22	ndn	ndn	NOUN
fuelectenerg-4161	303	23	network	network	NOUN
fuelectenerg-4161	303	24	”	"	PUNCT
fuelectenerg-4161	303	25	,	,	PUNCT
fuelectenerg-4161	303	26	international	international	ADJ
fuelectenerg-4161	303	27	journal	journal	NOUN
fuelectenerg-4161	303	28	of	of	ADP
fuelectenerg-4161	303	29	embedded	embed	VERB
fuelectenerg-4161	303	30	systems	system	NOUN
fuelectenerg-4161	303	31	and	and	CCONJ
fuelectenerg-4161	303	32	applications	application	NOUN
fuelectenerg-4161	303	33	(	(	PUNCT
fuelectenerg-4161	303	34	ijesa	ijesa	NOUN
fuelectenerg-4161	303	35	)	)	PUNCT
fuelectenerg-4161	303	36	,	,	PUNCT
fuelectenerg-4161	303	37	vol	vol	NOUN
fuelectenerg-4161	303	38	.	.	PROPN
fuelectenerg-4161	303	39	5	5	NUM
fuelectenerg-4161	303	40	,	,	PUNCT
fuelectenerg-4161	303	41	no	no	INTJ
fuelectenerg-4161	303	42	.	.	NOUN
fuelectenerg-4161	303	43	2	2	NUM
fuelectenerg-4161	303	44	,	,	PUNCT
fuelectenerg-4161	303	45	pp	pp	ADJ
fuelectenerg-4161	303	46	.	.	PUNCT
fuelectenerg-4161	304	1	15	15	NUM
fuelectenerg-4161	304	2	-	-	SYM
fuelectenerg-4161	304	3	29	29	NUM
fuelectenerg-4161	304	4	,	,	PUNCT
fuelectenerg-4161	304	5	june	june	PROPN
fuelectenerg-4161	304	6	2015	2015	NUM
fuelectenerg-4161	304	7	,	,	PUNCT
fuelectenerg-4161	304	8	fpga	fpga	PROPN
fuelectenerg-4161	304	9	implementation	implementation	NOUN
fuelectenerg-4161	304	10	of	of	ADP
fuelectenerg-4161	304	11	modified	modify	VERB
fuelectenerg-4161	304	12	elliptic	elliptic	ADJ
fuelectenerg-4161	304	13	curve	curve	NOUN
fuelectenerg-4161	304	14	digital	digital	ADJ
fuelectenerg-4161	304	15	signature	signature	NOUN
fuelectenerg-4161	304	16	algorithm	algorithm	NOUN
fuelectenerg-4161	304	17	145	145	NUM
fuelectenerg-4161	304	18	[	[	X
fuelectenerg-4161	304	19	11	11	NUM
fuelectenerg-4161	304	20	]	]	X
fuelectenerg-4161	304	21	h.	h.	PROPN
fuelectenerg-4161	304	22	junru	junru	PROPN
fuelectenerg-4161	304	23	,	,	PUNCT
fuelectenerg-4161	304	24	“	"	PUNCT
fuelectenerg-4161	304	25	the	the	DET
fuelectenerg-4161	304	26	improved	improve	VERB
fuelectenerg-4161	304	27	elliptic	elliptic	ADJ
fuelectenerg-4161	304	28	curve	curve	NOUN
fuelectenerg-4161	304	29	digital	digital	ADJ
fuelectenerg-4161	304	30	signature	signature	NOUN
fuelectenerg-4161	304	31	algorithm	algorithm	NOUN
fuelectenerg-4161	304	32	”	"	PUNCT
fuelectenerg-4161	304	33	,	,	PUNCT
fuelectenerg-4161	304	34	in	in	ADP
fuelectenerg-4161	304	35	proceedings	proceeding	NOUN
fuelectenerg-4161	304	36	of	of	ADP
fuelectenerg-4161	304	37	the	the	DET
fuelectenerg-4161	304	38	international	international	ADJ
fuelectenerg-4161	304	39	conference	conference	NOUN
fuelectenerg-4161	304	40	on	on	ADP
fuelectenerg-4161	304	41	electronic	electronic	ADJ
fuelectenerg-4161	304	42	and	and	CCONJ
fuelectenerg-4161	304	43	mechanical	mechanical	ADJ
fuelectenerg-4161	304	44	engineering	engineering	NOUN
fuelectenerg-4161	304	45	and	and	CCONJ
fuelectenerg-4161	304	46	information	information	NOUN
fuelectenerg-4161	304	47	technology	technology	NOUN
fuelectenerg-4161	304	48	(	(	PUNCT
fuelectenerg-4161	304	49	emeit	emeit	ADJ
fuelectenerg-4161	304	50	)	)	PUNCT
fuelectenerg-4161	304	51	,	,	PUNCT
fuelectenerg-4161	304	52	2011	2011	NUM
fuelectenerg-4161	304	53	,	,	PUNCT
fuelectenerg-4161	304	54	pp	pp	ADJ
fuelectenerg-4161	304	55	.	.	PUNCT
fuelectenerg-4161	305	1	257	257	NUM
fuelectenerg-4161	305	2	-	-	SYM
fuelectenerg-4161	305	3	259	259	NUM
fuelectenerg-4161	305	4	.	.	PUNCT
fuelectenerg-4161	306	1	[	[	X
fuelectenerg-4161	306	2	12	12	NUM
fuelectenerg-4161	306	3	]	]	PUNCT
fuelectenerg-4161	306	4	b.	b.	PROPN
fuelectenerg-4161	306	5	panjwani	panjwani	PROPN
fuelectenerg-4161	306	6	,	,	PUNCT
fuelectenerg-4161	306	7	d.	d.	PROPN
fuelectenerg-4161	306	8	c.	c.	PROPN
fuelectenerg-4161	306	9	mehta	mehta	PROPN
fuelectenerg-4161	306	10	,	,	PUNCT
fuelectenerg-4161	306	11	“	"	PUNCT
fuelectenerg-4161	306	12	hardware	hardware	NOUN
fuelectenerg-4161	306	13	-	-	PUNCT
fuelectenerg-4161	306	14	software	software	NOUN
fuelectenerg-4161	306	15	co	co	NOUN
fuelectenerg-4161	306	16	-	-	NOUN
fuelectenerg-4161	306	17	design	design	NOUN
fuelectenerg-4161	306	18	of	of	ADP
fuelectenerg-4161	306	19	elliptic	elliptic	ADJ
fuelectenerg-4161	306	20	curve	curve	NOUN
fuelectenerg-4161	306	21	digital	digital	ADJ
fuelectenerg-4161	306	22	signature	signature	NOUN
fuelectenerg-4161	306	23	algorithm	algorithm	NOUN
fuelectenerg-4161	306	24	over	over	ADP
fuelectenerg-4161	306	25	binary	binary	ADJ
fuelectenerg-4161	306	26	fields	field	NOUN
fuelectenerg-4161	306	27	”	"	PUNCT
fuelectenerg-4161	306	28	,	,	PUNCT
fuelectenerg-4161	306	29	in	in	ADP
fuelectenerg-4161	306	30	proceedings	proceeding	NOUN
fuelectenerg-4161	306	31	of	of	ADP
fuelectenerg-4161	306	32	the	the	DET
fuelectenerg-4161	306	33	international	international	ADJ
fuelectenerg-4161	306	34	conference	conference	NOUN
fuelectenerg-4161	306	35	on	on	ADP
fuelectenerg-4161	306	36	advances	advance	NOUN
fuelectenerg-4161	306	37	in	in	ADP
fuelectenerg-4161	306	38	computing	computing	NOUN
fuelectenerg-4161	306	39	,	,	PUNCT
fuelectenerg-4161	306	40	communications	communication	NOUN
fuelectenerg-4161	306	41	and	and	CCONJ
fuelectenerg-4161	306	42	informatics	informatic	NOUN
fuelectenerg-4161	306	43	(	(	PUNCT
fuelectenerg-4161	306	44	icacci	icacci	PROPN
fuelectenerg-4161	306	45	)	)	PUNCT
fuelectenerg-4161	306	46	,	,	PUNCT
fuelectenerg-4161	306	47	2015	2015	NUM
fuelectenerg-4161	306	48	,	,	PUNCT
fuelectenerg-4161	306	49	pp	pp	ADJ
fuelectenerg-4161	306	50	.	.	PUNCT
fuelectenerg-4161	307	1	1101	1101	NUM
fuelectenerg-4161	307	2	-	-	PUNCT
fuelectenerg-4161	307	3	1106	1106	NUM
fuelectenerg-4161	307	4	.	.	PUNCT
fuelectenerg-4161	308	1	[	[	X
fuelectenerg-4161	308	2	13	13	NUM
fuelectenerg-4161	308	3	]	]	PUNCT
fuelectenerg-4161	308	4	x.	x.	PROPN
fuelectenerg-4161	308	5	zhang	zhang	PROPN
fuelectenerg-4161	308	6	,	,	PUNCT
fuelectenerg-4161	308	7	s.	s.	PROPN
fuelectenerg-4161	308	8	ma	ma	PROPN
fuelectenerg-4161	308	9	,	,	PUNCT
fuelectenerg-4161	308	10	w.	w.	PROPN
fuelectenerg-4161	308	11	shi	shi	PROPN
fuelectenerg-4161	308	12	,	,	PUNCT
fuelectenerg-4161	308	13	and	and	CCONJ
fuelectenerg-4161	308	14	d.	d.	PROPN
fuelectenerg-4161	308	15	han	han	PROPN
fuelectenerg-4161	308	16	,	,	PUNCT
fuelectenerg-4161	308	17	“	"	PUNCT
fuelectenerg-4161	308	18	implementation	implementation	NOUN
fuelectenerg-4161	308	19	of	of	ADP
fuelectenerg-4161	308	20	elliptic	elliptic	ADJ
fuelectenerg-4161	308	21	curve	curve	NOUN
fuelectenerg-4161	308	22	digital	digital	ADJ
fuelectenerg-4161	308	23	signature	signature	NOUN
fuelectenerg-4161	308	24	algorithm	algorithm	NOUN
fuelectenerg-4161	308	25	on	on	ADP
fuelectenerg-4161	308	26	iris	iris	NOUN
fuelectenerg-4161	308	27	nodes	node	NOUN
fuelectenerg-4161	308	28	”	"	PUNCT
fuelectenerg-4161	308	29	,	,	PUNCT
fuelectenerg-4161	308	30	in	in	ADP
fuelectenerg-4161	308	31	proceedings	proceeding	NOUN
fuelectenerg-4161	308	32	of	of	ADP
fuelectenerg-4161	308	33	the	the	DET
fuelectenerg-4161	308	34	international	international	ADJ
fuelectenerg-4161	308	35	conference	conference	NOUN
fuelectenerg-4161	308	36	on	on	ADP
fuelectenerg-4161	308	37	estimation	estimation	NOUN
fuelectenerg-4161	308	38	,	,	PUNCT
fuelectenerg-4161	308	39	detection	detection	NOUN
fuelectenerg-4161	308	40	and	and	CCONJ
fuelectenerg-4161	308	41	information	information	NOUN
fuelectenerg-4161	308	42	fusion	fusion	NOUN
fuelectenerg-4161	308	43	(	(	PUNCT
fuelectenerg-4161	308	44	icedif	icedif	NOUN
fuelectenerg-4161	308	45	2015	2015	NUM
fuelectenerg-4161	308	46	)	)	PUNCT
fuelectenerg-4161	308	47	,	,	PUNCT
fuelectenerg-4161	308	48	pp	pp	ADP
fuelectenerg-4161	308	49	.	.	PUNCT
fuelectenerg-4161	309	1	403	403	NUM
fuelectenerg-4161	309	2	-	-	SYM
fuelectenerg-4161	309	3	406	406	NUM
fuelectenerg-4161	309	4	.	.	PUNCT