id	sid	tid	token	lemma	pos
fuelectenerg-2763	1	1	instruction	instruction	NOUN
fuelectenerg-2763	1	2	facta	facta	PROPN
fuelectenerg-2763	1	3	universitatis	universitatis	PROPN
fuelectenerg-2763	1	4	series	series	NOUN
fuelectenerg-2763	1	5	:	:	PUNCT
fuelectenerg-2763	1	6	electronics	electronic	NOUN
fuelectenerg-2763	1	7	and	and	CCONJ
fuelectenerg-2763	1	8	energetics	energetics	NOUN
fuelectenerg-2763	1	9	vol	vol	NOUN
fuelectenerg-2763	1	10	.	.	PROPN
fuelectenerg-2763	1	11	30	30	NUM
fuelectenerg-2763	1	12	,	,	PUNCT
fuelectenerg-2763	1	13	no	no	DET
fuelectenerg-2763	1	14	4	4	NUM
fuelectenerg-2763	1	15	,	,	PUNCT
fuelectenerg-2763	1	16	december	december	PROPN
fuelectenerg-2763	1	17	2017	2017	NUM
fuelectenerg-2763	1	18	,	,	PUNCT
fuelectenerg-2763	1	19	pp	pp	ADJ
fuelectenerg-2763	1	20	.	.	PUNCT
fuelectenerg-2763	2	1	459	459	NUM
fuelectenerg-2763	2	2	475	475	NUM
fuelectenerg-2763	2	3	doi	doi	NOUN
fuelectenerg-2763	2	4	:	:	PUNCT
fuelectenerg-2763	2	5	10.2298	10.2298	NUM
fuelectenerg-2763	2	6	/	/	SYM
fuelectenerg-2763	2	7	fuee1704459s	fuee1704459s	PROPN
fuelectenerg-2763	2	8	a	a	DET
fuelectenerg-2763	2	9	novel	novel	ADJ
fuelectenerg-2763	2	10	architecture	architecture	NOUN
fuelectenerg-2763	2	11	with	with	ADP
fuelectenerg-2763	2	12	scalable	scalable	ADJ
fuelectenerg-2763	2	13	security	security	NOUN
fuelectenerg-2763	2	14	having	have	VERB
fuelectenerg-2763	2	15	expandable	expandable	ADJ
fuelectenerg-2763	2	16	computational	computational	ADJ
fuelectenerg-2763	2	17	complexity	complexity	NOUN
fuelectenerg-2763	2	18	for	for	ADP
fuelectenerg-2763	2	19	stream	stream	NOUN
fuelectenerg-2763	2	20	ciphers	cipher	NOUN
fuelectenerg-2763	2	21			PUNCT
fuelectenerg-2763	2	22	prathap	prathap	NOUN
fuelectenerg-2763	2	23	siddavaatam	siddavaatam	VERB
fuelectenerg-2763	2	24	,	,	PUNCT
fuelectenerg-2763	2	25	reza	reza	PROPN
fuelectenerg-2763	2	26	sedaghat	sedaghat	PRON
fuelectenerg-2763	2	27	electrical	electrical	ADJ
fuelectenerg-2763	2	28	and	and	CCONJ
fuelectenerg-2763	2	29	computer	computer	NOUN
fuelectenerg-2763	2	30	engineering	engineering	NOUN
fuelectenerg-2763	2	31	,	,	PUNCT
fuelectenerg-2763	2	32	ryerson	ryerson	NOUN
fuelectenerg-2763	2	33	university	university	PROPN
fuelectenerg-2763	2	34	,	,	PUNCT
fuelectenerg-2763	2	35	toronto	toronto	PROPN
fuelectenerg-2763	2	36	,	,	PUNCT
fuelectenerg-2763	2	37	canada	canada	PROPN
fuelectenerg-2763	2	38	abstract	abstract	PROPN
fuelectenerg-2763	2	39	.	.	PUNCT
fuelectenerg-2763	3	1	stream	stream	VERB
fuelectenerg-2763	3	2	cipher	cipher	ADJ
fuelectenerg-2763	3	3	designs	design	NOUN
fuelectenerg-2763	3	4	are	be	AUX
fuelectenerg-2763	3	5	difficult	difficult	ADJ
fuelectenerg-2763	3	6	to	to	PART
fuelectenerg-2763	3	7	implement	implement	VERB
fuelectenerg-2763	3	8	since	since	SCONJ
fuelectenerg-2763	3	9	they	they	PRON
fuelectenerg-2763	3	10	are	be	AUX
fuelectenerg-2763	3	11	prone	prone	ADJ
fuelectenerg-2763	3	12	to	to	ADP
fuelectenerg-2763	3	13	weaknesses	weakness	NOUN
fuelectenerg-2763	3	14	based	base	VERB
fuelectenerg-2763	3	15	on	on	ADP
fuelectenerg-2763	3	16	usage	usage	NOUN
fuelectenerg-2763	3	17	,	,	PUNCT
fuelectenerg-2763	3	18	with	with	ADP
fuelectenerg-2763	3	19	properties	property	NOUN
fuelectenerg-2763	3	20	being	be	AUX
fuelectenerg-2763	3	21	similar	similar	ADJ
fuelectenerg-2763	3	22	to	to	ADP
fuelectenerg-2763	3	23	one	one	NUM
fuelectenerg-2763	3	24	-	-	PUNCT
fuelectenerg-2763	3	25	time	time	NOUN
fuelectenerg-2763	3	26	pad	pad	NOUN
fuelectenerg-2763	3	27	besides	besides	SCONJ
fuelectenerg-2763	3	28	keystream	keystream	NOUN
fuelectenerg-2763	3	29	is	be	AUX
fuelectenerg-2763	3	30	subjected	subject	VERB
fuelectenerg-2763	3	31	to	to	ADP
fuelectenerg-2763	3	32	very	very	ADV
fuelectenerg-2763	3	33	strict	strict	ADJ
fuelectenerg-2763	3	34	requirements	requirement	NOUN
fuelectenerg-2763	3	35	.	.	PUNCT
fuelectenerg-2763	4	1	contemporary	contemporary	ADJ
fuelectenerg-2763	4	2	stream	stream	NOUN
fuelectenerg-2763	4	3	cipher	cipher	ADJ
fuelectenerg-2763	4	4	designs	design	NOUN
fuelectenerg-2763	4	5	are	be	AUX
fuelectenerg-2763	4	6	highly	highly	ADV
fuelectenerg-2763	4	7	vulnerable	vulnerable	ADJ
fuelectenerg-2763	4	8	to	to	ADP
fuelectenerg-2763	4	9	algebraic	algebraic	ADJ
fuelectenerg-2763	4	10	cryptanalysis	cryptanalysis	NOUN
fuelectenerg-2763	4	11	based	base	VERB
fuelectenerg-2763	4	12	on	on	ADP
fuelectenerg-2763	4	13	linear	linear	PROPN
fuelectenerg-2763	4	14	algebra	algebra	NOUN
fuelectenerg-2763	4	15	,	,	PUNCT
fuelectenerg-2763	4	16	in	in	ADP
fuelectenerg-2763	4	17	which	which	PRON
fuelectenerg-2763	4	18	the	the	DET
fuelectenerg-2763	4	19	inputs	input	NOUN
fuelectenerg-2763	4	20	and	and	CCONJ
fuelectenerg-2763	4	21	outputs	output	NOUN
fuelectenerg-2763	4	22	are	be	AUX
fuelectenerg-2763	4	23	formulated	formulate	VERB
fuelectenerg-2763	4	24	as	as	ADP
fuelectenerg-2763	4	25	multivariate	multivariate	NOUN
fuelectenerg-2763	4	26	polynomial	polynomial	ADJ
fuelectenerg-2763	4	27	equations	equation	NOUN
fuelectenerg-2763	4	28	.	.	PUNCT
fuelectenerg-2763	5	1	solving	solve	VERB
fuelectenerg-2763	5	2	a	a	DET
fuelectenerg-2763	5	3	nonlinear	nonlinear	ADJ
fuelectenerg-2763	5	4	system	system	NOUN
fuelectenerg-2763	5	5	of	of	ADP
fuelectenerg-2763	5	6	multivariate	multivariate	NOUN
fuelectenerg-2763	5	7	equations	equation	NOUN
fuelectenerg-2763	5	8	will	will	AUX
fuelectenerg-2763	5	9	reduce	reduce	VERB
fuelectenerg-2763	5	10	the	the	DET
fuelectenerg-2763	5	11	complexity	complexity	NOUN
fuelectenerg-2763	5	12	,	,	PUNCT
fuelectenerg-2763	5	13	which	which	PRON
fuelectenerg-2763	5	14	in	in	ADP
fuelectenerg-2763	5	15	turn	turn	NOUN
fuelectenerg-2763	5	16	yields	yield	VERB
fuelectenerg-2763	5	17	the	the	DET
fuelectenerg-2763	5	18	targeted	target	VERB
fuelectenerg-2763	5	19	secret	secret	ADJ
fuelectenerg-2763	5	20	information	information	NOUN
fuelectenerg-2763	5	21	.	.	PUNCT
fuelectenerg-2763	6	1	recently	recently	ADV
fuelectenerg-2763	6	2	,	,	PUNCT
fuelectenerg-2763	6	3	addition	addition	NOUN
fuelectenerg-2763	6	4	modulo	modulo	NOUN
fuelectenerg-2763	6	5	has	have	AUX
fuelectenerg-2763	6	6	been	be	AUX
fuelectenerg-2763	6	7	suggested	suggest	VERB
fuelectenerg-2763	6	8	over	over	ADP
fuelectenerg-2763	6	9	logic	logic	NOUN
fuelectenerg-2763	6	10	xor	xor	PROPN
fuelectenerg-2763	6	11	as	as	ADP
fuelectenerg-2763	6	12	a	a	DET
fuelectenerg-2763	6	13	mixing	mix	VERB
fuelectenerg-2763	6	14	operator	operator	NOUN
fuelectenerg-2763	6	15	to	to	PART
fuelectenerg-2763	6	16	guard	guard	VERB
fuelectenerg-2763	6	17	against	against	ADP
fuelectenerg-2763	6	18	such	such	ADJ
fuelectenerg-2763	6	19	attacks	attack	NOUN
fuelectenerg-2763	6	20	.	.	PUNCT
fuelectenerg-2763	7	1	however	however	ADV
fuelectenerg-2763	7	2	,	,	PUNCT
fuelectenerg-2763	7	3	it	it	PRON
fuelectenerg-2763	7	4	has	have	AUX
fuelectenerg-2763	7	5	been	be	AUX
fuelectenerg-2763	7	6	observed	observe	VERB
fuelectenerg-2763	7	7	that	that	SCONJ
fuelectenerg-2763	7	8	the	the	DET
fuelectenerg-2763	7	9	complexity	complexity	NOUN
fuelectenerg-2763	7	10	of	of	ADP
fuelectenerg-2763	7	11	modulo	modulo	NOUN
fuelectenerg-2763	7	12	addition	addition	NOUN
fuelectenerg-2763	7	13	can	can	AUX
fuelectenerg-2763	7	14	be	be	AUX
fuelectenerg-2763	7	15	drastically	drastically	ADV
fuelectenerg-2763	7	16	decreased	decrease	VERB
fuelectenerg-2763	7	17	with	with	ADP
fuelectenerg-2763	7	18	the	the	DET
fuelectenerg-2763	7	19	appropriate	appropriate	ADJ
fuelectenerg-2763	7	20	formulation	formulation	NOUN
fuelectenerg-2763	7	21	of	of	ADP
fuelectenerg-2763	7	22	polynomial	polynomial	ADJ
fuelectenerg-2763	7	23	equations	equation	NOUN
fuelectenerg-2763	7	24	and	and	CCONJ
fuelectenerg-2763	7	25	probabilistic	probabilistic	ADJ
fuelectenerg-2763	7	26	conditions	condition	NOUN
fuelectenerg-2763	7	27	.	.	PUNCT
fuelectenerg-2763	8	1	a	a	DET
fuelectenerg-2763	8	2	new	new	ADJ
fuelectenerg-2763	8	3	design	design	NOUN
fuelectenerg-2763	8	4	for	for	ADP
fuelectenerg-2763	8	5	addition	addition	NOUN
fuelectenerg-2763	8	6	modulo	modulo	NOUN
fuelectenerg-2763	8	7	is	be	AUX
fuelectenerg-2763	8	8	proposed	propose	VERB
fuelectenerg-2763	8	9	.	.	PUNCT
fuelectenerg-2763	9	1	the	the	DET
fuelectenerg-2763	9	2	framework	framework	NOUN
fuelectenerg-2763	9	3	for	for	ADP
fuelectenerg-2763	9	4	the	the	DET
fuelectenerg-2763	9	5	new	new	ADJ
fuelectenerg-2763	9	6	design	design	NOUN
fuelectenerg-2763	9	7	is	be	AUX
fuelectenerg-2763	9	8	characterized	characterize	VERB
fuelectenerg-2763	9	9	by	by	ADP
fuelectenerg-2763	9	10	user	user	NOUN
fuelectenerg-2763	9	11	-	-	PUNCT
fuelectenerg-2763	9	12	defined	define	VERB
fuelectenerg-2763	9	13	expandable	expandable	ADJ
fuelectenerg-2763	9	14	security	security	NOUN
fuelectenerg-2763	9	15	for	for	ADP
fuelectenerg-2763	9	16	stronger	strong	ADJ
fuelectenerg-2763	9	17	encryption	encryption	NOUN
fuelectenerg-2763	9	18	and	and	CCONJ
fuelectenerg-2763	9	19	does	do	AUX
fuelectenerg-2763	9	20	not	not	PART
fuelectenerg-2763	9	21	impose	impose	VERB
fuelectenerg-2763	9	22	changes	change	NOUN
fuelectenerg-2763	9	23	in	in	ADP
fuelectenerg-2763	9	24	existing	exist	VERB
fuelectenerg-2763	9	25	layout	layout	NOUN
fuelectenerg-2763	9	26	for	for	ADP
fuelectenerg-2763	9	27	any	any	DET
fuelectenerg-2763	9	28	stream	stream	NOUN
fuelectenerg-2763	9	29	cipher	cipher	ADJ
fuelectenerg-2763	9	30	such	such	ADJ
fuelectenerg-2763	9	31	as	as	ADP
fuelectenerg-2763	9	32	snow	snow	NOUN
fuelectenerg-2763	9	33	2.0	2.0	NUM
fuelectenerg-2763	9	34	,	,	PUNCT
fuelectenerg-2763	9	35	sosemanuk	sosemanuk	NOUN
fuelectenerg-2763	9	36	,	,	PUNCT
fuelectenerg-2763	9	37	cryptmt	cryptmt	INTJ
fuelectenerg-2763	9	38	,	,	PUNCT
fuelectenerg-2763	9	39	grain	grain	NOUN
fuelectenerg-2763	9	40	family	family	NOUN
fuelectenerg-2763	9	41	,	,	PUNCT
fuelectenerg-2763	9	42	etc	etc	X
fuelectenerg-2763	9	43	.	.	X
fuelectenerg-2763	10	1	the	the	DET
fuelectenerg-2763	10	2	structure	structure	NOUN
fuelectenerg-2763	10	3	of	of	ADP
fuelectenerg-2763	10	4	the	the	DET
fuelectenerg-2763	10	5	proposed	propose	VERB
fuelectenerg-2763	10	6	design	design	NOUN
fuelectenerg-2763	10	7	is	be	AUX
fuelectenerg-2763	10	8	highly	highly	ADV
fuelectenerg-2763	10	9	scalable	scalable	ADJ
fuelectenerg-2763	10	10	,	,	PUNCT
fuelectenerg-2763	10	11	which	which	PRON
fuelectenerg-2763	10	12	boosts	boost	VERB
fuelectenerg-2763	10	13	the	the	DET
fuelectenerg-2763	10	14	algebraic	algebraic	ADJ
fuelectenerg-2763	10	15	degree	degree	NOUN
fuelectenerg-2763	10	16	and	and	CCONJ
fuelectenerg-2763	10	17	thwarts	thwart	VERB
fuelectenerg-2763	10	18	the	the	DET
fuelectenerg-2763	10	19	probabilistic	probabilistic	ADJ
fuelectenerg-2763	10	20	conditions	condition	NOUN
fuelectenerg-2763	10	21	by	by	ADP
fuelectenerg-2763	10	22	maintaining	maintain	VERB
fuelectenerg-2763	10	23	the	the	DET
fuelectenerg-2763	10	24	original	original	ADJ
fuelectenerg-2763	10	25	hardware	hardware	NOUN
fuelectenerg-2763	10	26	complexity	complexity	NOUN
fuelectenerg-2763	10	27	without	without	ADP
fuelectenerg-2763	10	28	changing	change	VERB
fuelectenerg-2763	10	29	the	the	DET
fuelectenerg-2763	10	30	integrity	integrity	NOUN
fuelectenerg-2763	10	31	of	of	ADP
fuelectenerg-2763	10	32	the	the	DET
fuelectenerg-2763	10	33	addition	addition	NOUN
fuelectenerg-2763	10	34	modulo	modulo	NOUN
fuelectenerg-2763	10	35	.	.	PUNCT
fuelectenerg-2763	11	1	key	key	ADJ
fuelectenerg-2763	11	2	words	word	NOUN
fuelectenerg-2763	11	3	:	:	PUNCT
fuelectenerg-2763	11	4	algebraic	algebraic	ADJ
fuelectenerg-2763	11	5	attack	attack	NOUN
fuelectenerg-2763	11	6	,	,	PUNCT
fuelectenerg-2763	11	7	modulo	modulo	NOUN
fuelectenerg-2763	11	8	addition	addition	NOUN
fuelectenerg-2763	11	9	,	,	PUNCT
fuelectenerg-2763	11	10	algebraic	algebraic	ADJ
fuelectenerg-2763	11	11	degree	degree	NOUN
fuelectenerg-2763	11	12	,	,	PUNCT
fuelectenerg-2763	11	13	scalability	scalability	NOUN
fuelectenerg-2763	11	14	,	,	PUNCT
fuelectenerg-2763	11	15	snow	snow	NOUN
fuelectenerg-2763	11	16	2.0	2.0	NUM
fuelectenerg-2763	11	17	,	,	PUNCT
fuelectenerg-2763	11	18	trivium	trivium	NOUN
fuelectenerg-2763	11	19	,	,	PUNCT
fuelectenerg-2763	11	20	s	s	NOUN
fuelectenerg-2763	11	21	-	-	PUNCT
fuelectenerg-2763	11	22	box	box	NOUN
fuelectenerg-2763	11	23	,	,	PUNCT
fuelectenerg-2763	11	24	lfsr	lfsr	PROPN
fuelectenerg-2763	11	25	,	,	PUNCT
fuelectenerg-2763	11	26	nfsr	nfsr	PROPN
fuelectenerg-2763	11	27	,	,	PUNCT
fuelectenerg-2763	11	28	sat	sit	VERB
fuelectenerg-2763	11	29	solver	solver	ADV
fuelectenerg-2763	11	30	,	,	PUNCT
fuelectenerg-2763	11	31	stream	stream	VERB
fuelectenerg-2763	11	32	cipher	cipher	ADJ
fuelectenerg-2763	11	33	.	.	PUNCT
fuelectenerg-2763	12	1	1	1	X
fuelectenerg-2763	12	2	.	.	X
fuelectenerg-2763	12	3	introduction	introduction	NOUN
fuelectenerg-2763	12	4	in	in	ADP
fuelectenerg-2763	12	5	1949	1949	NUM
fuelectenerg-2763	12	6	,	,	PUNCT
fuelectenerg-2763	12	7	shannon	shannon	PROPN
fuelectenerg-2763	12	8	mentioned	mention	VERB
fuelectenerg-2763	12	9	[	[	X
fuelectenerg-2763	12	10	1	1	X
fuelectenerg-2763	12	11	]	]	PUNCT
fuelectenerg-2763	12	12	the	the	DET
fuelectenerg-2763	12	13	possibility	possibility	NOUN
fuelectenerg-2763	12	14	of	of	ADP
fuelectenerg-2763	12	15	decrypting	decrypt	VERB
fuelectenerg-2763	12	16	a	a	DET
fuelectenerg-2763	12	17	good	good	ADJ
fuelectenerg-2763	12	18	cryptosystem	cryptosystem	NOUN
fuelectenerg-2763	12	19	by	by	ADP
fuelectenerg-2763	12	20	solving	solve	VERB
fuelectenerg-2763	12	21	a	a	DET
fuelectenerg-2763	12	22	system	system	NOUN
fuelectenerg-2763	12	23	of	of	ADP
fuelectenerg-2763	12	24	simultaneous	simultaneous	ADJ
fuelectenerg-2763	12	25	equations	equation	NOUN
fuelectenerg-2763	12	26	,	,	PUNCT
fuelectenerg-2763	12	27	which	which	PRON
fuelectenerg-2763	12	28	describes	describe	VERB
fuelectenerg-2763	12	29	the	the	DET
fuelectenerg-2763	12	30	cryptosystem	cryptosystem	NOUN
fuelectenerg-2763	12	31	,	,	PUNCT
fuelectenerg-2763	12	32	and	and	CCONJ
fuelectenerg-2763	12	33	the	the	DET
fuelectenerg-2763	12	34	equations	equation	NOUN
fuelectenerg-2763	12	35	have	have	VERB
fuelectenerg-2763	12	36	a	a	DET
fuelectenerg-2763	12	37	large	large	ADJ
fuelectenerg-2763	12	38	number	number	NOUN
fuelectenerg-2763	12	39	of	of	ADP
fuelectenerg-2763	12	40	unknowns	unknown	NOUN
fuelectenerg-2763	12	41	.	.	PUNCT
fuelectenerg-2763	13	1	one	one	NUM
fuelectenerg-2763	13	2	of	of	ADP
fuelectenerg-2763	13	3	the	the	DET
fuelectenerg-2763	13	4	interpretations	interpretation	NOUN
fuelectenerg-2763	13	5	of	of	ADP
fuelectenerg-2763	13	6	this	this	DET
fuelectenerg-2763	13	7	proposition	proposition	NOUN
fuelectenerg-2763	13	8	[	[	X
fuelectenerg-2763	13	9	2	2	NUM
fuelectenerg-2763	13	10	]	]	PUNCT
fuelectenerg-2763	13	11	is	be	AUX
fuelectenerg-2763	13	12	to	to	PART
fuelectenerg-2763	13	13	describe	describe	VERB
fuelectenerg-2763	13	14	a	a	DET
fuelectenerg-2763	13	15	cryptosystem	cryptosystem	NOUN
fuelectenerg-2763	13	16	as	as	ADP
fuelectenerg-2763	13	17	a	a	DET
fuelectenerg-2763	13	18	system	system	NOUN
fuelectenerg-2763	13	19	of	of	ADP
fuelectenerg-2763	13	20	multivariate	multivariate	NOUN
fuelectenerg-2763	13	21	polynomial	polynomial	ADJ
fuelectenerg-2763	13	22	equations	equation	NOUN
fuelectenerg-2763	13	23	and	and	CCONJ
fuelectenerg-2763	13	24	to	to	PART
fuelectenerg-2763	13	25	solve	solve	VERB
fuelectenerg-2763	13	26	this	this	DET
fuelectenerg-2763	13	27	system	system	NOUN
fuelectenerg-2763	13	28	.	.	PUNCT
fuelectenerg-2763	14	1	this	this	PRON
fuelectenerg-2763	14	2	has	have	AUX
fuelectenerg-2763	14	3	built	build	VERB
fuelectenerg-2763	14	4	the	the	DET
fuelectenerg-2763	14	5	foundations	foundation	NOUN
fuelectenerg-2763	14	6	of	of	ADP
fuelectenerg-2763	14	7	the	the	DET
fuelectenerg-2763	14	8	cryptanalysis	cryptanalysis	NOUN
fuelectenerg-2763	14	9	method	method	NOUN
fuelectenerg-2763	14	10	commonly	commonly	ADV
fuelectenerg-2763	14	11	known	know	VERB
fuelectenerg-2763	14	12	as	as	ADP
fuelectenerg-2763	14	13	algebraic	algebraic	ADJ
fuelectenerg-2763	14	14	attack	attack	NOUN
fuelectenerg-2763	14	15	nowadays	nowadays	ADV
fuelectenerg-2763	14	16	.	.	PUNCT
fuelectenerg-2763	15	1	applications	application	NOUN
fuelectenerg-2763	15	2	of	of	ADP
fuelectenerg-2763	15	3	this	this	DET
fuelectenerg-2763	15	4	idea	idea	NOUN
fuelectenerg-2763	15	5	were	be	AUX
fuelectenerg-2763	15	6	first	first	ADV
fuelectenerg-2763	15	7	introduced	introduce	VERB
fuelectenerg-2763	15	8	in	in	ADP
fuelectenerg-2763	15	9	received	receive	VERB
fuelectenerg-2763	15	10	april	april	PROPN
fuelectenerg-2763	15	11	6	6	NUM
fuelectenerg-2763	15	12	,	,	PUNCT
fuelectenerg-2763	15	13	2017	2017	NUM
fuelectenerg-2763	15	14	corresponding	correspond	VERB
fuelectenerg-2763	15	15	author	author	NOUN
fuelectenerg-2763	15	16	:	:	PUNCT
fuelectenerg-2763	15	17	reza	reza	PROPN
fuelectenerg-2763	15	18	sedaghat	sedaghat	ADP
fuelectenerg-2763	15	19	electrical	electrical	ADJ
fuelectenerg-2763	15	20	and	and	CCONJ
fuelectenerg-2763	15	21	computer	computer	NOUN
fuelectenerg-2763	15	22	engineering	engineering	NOUN
fuelectenerg-2763	15	23	,	,	PUNCT
fuelectenerg-2763	15	24	ryerson	ryerson	NOUN
fuelectenerg-2763	15	25	university	university	PROPN
fuelectenerg-2763	15	26	,	,	PUNCT
fuelectenerg-2763	15	27	toronto	toronto	PROPN
fuelectenerg-2763	15	28	,	,	PUNCT
fuelectenerg-2763	15	29	canada	canada	PROPN
fuelectenerg-2763	15	30	(	(	PUNCT
fuelectenerg-2763	15	31	e	e	NOUN
fuelectenerg-2763	15	32	-	-	NOUN
fuelectenerg-2763	15	33	mail	mail	NOUN
fuelectenerg-2763	15	34	:	:	PUNCT
fuelectenerg-2763	15	35	rsedagha@ee.ryerson.ca	rsedagha@ee.ryerson.ca	X
fuelectenerg-2763	15	36	)	)	PUNCT
fuelectenerg-2763	15	37	460	460	NUM
fuelectenerg-2763	15	38	p.	p.	NOUN
fuelectenerg-2763	15	39	siddavaatam	siddavaatam	NOUN
fuelectenerg-2763	15	40	,	,	PUNCT
fuelectenerg-2763	15	41	r.	r.	X
fuelectenerg-2763	15	42	sedaghat	sedaghat	PUNCT
fuelectenerg-2763	16	1	[	[	X
fuelectenerg-2763	16	2	3	3	X
fuelectenerg-2763	16	3	]	]	PUNCT
fuelectenerg-2763	16	4	and	and	CCONJ
fuelectenerg-2763	16	5	[	[	X
fuelectenerg-2763	16	6	4	4	X
fuelectenerg-2763	16	7	]	]	PUNCT
fuelectenerg-2763	16	8	to	to	PART
fuelectenerg-2763	16	9	break	break	VERB
fuelectenerg-2763	16	10	public	public	ADJ
fuelectenerg-2763	16	11	key	key	ADJ
fuelectenerg-2763	16	12	scheme	scheme	NOUN
fuelectenerg-2763	16	13	.	.	PUNCT
fuelectenerg-2763	17	1	later	later	ADV
fuelectenerg-2763	17	2	,	,	PUNCT
fuelectenerg-2763	17	3	the	the	DET
fuelectenerg-2763	17	4	attack	attack	NOUN
fuelectenerg-2763	17	5	was	be	AUX
fuelectenerg-2763	17	6	generalized	generalize	VERB
fuelectenerg-2763	17	7	and	and	CCONJ
fuelectenerg-2763	17	8	applied	apply	VERB
fuelectenerg-2763	17	9	on	on	ADP
fuelectenerg-2763	17	10	stream	stream	NOUN
fuelectenerg-2763	17	11	ciphers	cipher	NOUN
fuelectenerg-2763	17	12	and	and	CCONJ
fuelectenerg-2763	17	13	block	block	NOUN
fuelectenerg-2763	17	14	ciphers	cipher	NOUN
fuelectenerg-2763	17	15	[	[	X
fuelectenerg-2763	17	16	5][6][7	5][6][7	NUM
fuelectenerg-2763	17	17	]	]	X
fuelectenerg-2763	17	18	.	.	PUNCT
fuelectenerg-2763	18	1	algebraic	algebraic	ADJ
fuelectenerg-2763	18	2	attack	attack	NOUN
fuelectenerg-2763	18	3	focuses	focus	VERB
fuelectenerg-2763	18	4	on	on	ADP
fuelectenerg-2763	18	5	formulating	formulate	VERB
fuelectenerg-2763	18	6	multivariate	multivariate	NOUN
fuelectenerg-2763	18	7	polynomial	polynomial	ADJ
fuelectenerg-2763	18	8	equations	equation	NOUN
fuelectenerg-2763	18	9	between	between	ADP
fuelectenerg-2763	18	10	the	the	DET
fuelectenerg-2763	18	11	inputs	input	NOUN
fuelectenerg-2763	18	12	and	and	CCONJ
fuelectenerg-2763	18	13	outputs	output	NOUN
fuelectenerg-2763	18	14	with	with	ADP
fuelectenerg-2763	18	15	low	low	ADJ
fuelectenerg-2763	18	16	algebraic	algebraic	ADJ
fuelectenerg-2763	18	17	degree	degree	NOUN
fuelectenerg-2763	18	18	.	.	PUNCT
fuelectenerg-2763	19	1	in	in	ADP
fuelectenerg-2763	19	2	the	the	DET
fuelectenerg-2763	19	3	higher	high	ADJ
fuelectenerg-2763	19	4	echelons	echelon	NOUN
fuelectenerg-2763	19	5	of	of	ADP
fuelectenerg-2763	19	6	security	security	NOUN
fuelectenerg-2763	19	7	framework	framework	NOUN
fuelectenerg-2763	19	8	some	some	DET
fuelectenerg-2763	19	9	methods	method	NOUN
fuelectenerg-2763	19	10	tend	tend	VERB
fuelectenerg-2763	19	11	to	to	PART
fuelectenerg-2763	19	12	deploy	deploy	VERB
fuelectenerg-2763	19	13	a	a	DET
fuelectenerg-2763	19	14	family	family	NOUN
fuelectenerg-2763	19	15	of	of	ADP
fuelectenerg-2763	19	16	protocols	protocol	NOUN
fuelectenerg-2763	19	17	which	which	PRON
fuelectenerg-2763	19	18	is	be	AUX
fuelectenerg-2763	19	19	designed	design	VERB
fuelectenerg-2763	19	20	specifically	specifically	ADV
fuelectenerg-2763	19	21	to	to	PART
fuelectenerg-2763	19	22	be	be	AUX
fuelectenerg-2763	19	23	secure	secure	ADJ
fuelectenerg-2763	19	24	against	against	ADP
fuelectenerg-2763	19	25	algebraic	algebraic	ADJ
fuelectenerg-2763	19	26	attacks	attack	NOUN
fuelectenerg-2763	19	27	[	[	X
fuelectenerg-2763	19	28	8	8	NUM
fuelectenerg-2763	19	29	]	]	PUNCT
fuelectenerg-2763	19	30	.	.	PUNCT
fuelectenerg-2763	20	1	the	the	DET
fuelectenerg-2763	20	2	significance	significance	NOUN
fuelectenerg-2763	20	3	of	of	ADP
fuelectenerg-2763	20	4	the	the	DET
fuelectenerg-2763	20	5	attack	attack	NOUN
fuelectenerg-2763	20	6	is	be	AUX
fuelectenerg-2763	20	7	that	that	SCONJ
fuelectenerg-2763	20	8	the	the	DET
fuelectenerg-2763	20	9	formulae	formulae	NOUN
fuelectenerg-2763	20	10	exist	exist	VERB
fuelectenerg-2763	20	11	with	with	ADP
fuelectenerg-2763	20	12	probability	probability	NOUN
fuelectenerg-2763	20	13	1	1	NUM
fuelectenerg-2763	20	14	or	or	CCONJ
fuelectenerg-2763	20	15	close	close	ADJ
fuelectenerg-2763	20	16	to	to	ADP
fuelectenerg-2763	20	17	1	1	NUM
fuelectenerg-2763	20	18	,	,	PUNCT
fuelectenerg-2763	20	19	unlike	unlike	ADP
fuelectenerg-2763	20	20	traditional	traditional	ADJ
fuelectenerg-2763	20	21	probabilistic	probabilistic	ADJ
fuelectenerg-2763	20	22	attacks	attack	NOUN
fuelectenerg-2763	20	23	such	such	ADJ
fuelectenerg-2763	20	24	as	as	ADP
fuelectenerg-2763	20	25	differential	differential	ADJ
fuelectenerg-2763	20	26	cryptanalysis	cryptanalysis	NOUN
fuelectenerg-2763	21	1	[	[	X
fuelectenerg-2763	21	2	9	9	NUM
fuelectenerg-2763	21	3	]	]	PUNCT
fuelectenerg-2763	21	4	and	and	CCONJ
fuelectenerg-2763	21	5	linear	linear	ADJ
fuelectenerg-2763	21	6	cryptanalysis	cryptanalysis	NOUN
fuelectenerg-2763	21	7	[	[	X
fuelectenerg-2763	21	8	10	10	NUM
fuelectenerg-2763	21	9	]	]	PUNCT
fuelectenerg-2763	21	10	.	.	PUNCT
fuelectenerg-2763	22	1	as	as	ADP
fuelectenerg-2763	22	2	a	a	DET
fuelectenerg-2763	22	3	result	result	NOUN
fuelectenerg-2763	22	4	,	,	PUNCT
fuelectenerg-2763	22	5	solving	solve	VERB
fuelectenerg-2763	22	6	such	such	ADJ
fuelectenerg-2763	22	7	equations	equation	NOUN
fuelectenerg-2763	22	8	successfully	successfully	ADV
fuelectenerg-2763	22	9	will	will	AUX
fuelectenerg-2763	22	10	always	always	ADV
fuelectenerg-2763	22	11	yield	yield	VERB
fuelectenerg-2763	22	12	the	the	DET
fuelectenerg-2763	22	13	desire	desire	NOUN
fuelectenerg-2763	22	14	value	value	NOUN
fuelectenerg-2763	22	15	of	of	ADP
fuelectenerg-2763	22	16	the	the	DET
fuelectenerg-2763	22	17	targeted	target	VERB
fuelectenerg-2763	22	18	variable	variable	NOUN
fuelectenerg-2763	22	19	.	.	PUNCT
fuelectenerg-2763	23	1	the	the	DET
fuelectenerg-2763	23	2	procedure	procedure	NOUN
fuelectenerg-2763	23	3	to	to	PART
fuelectenerg-2763	23	4	setup	setup	VERB
fuelectenerg-2763	23	5	the	the	DET
fuelectenerg-2763	23	6	attack	attack	NOUN
fuelectenerg-2763	23	7	typically	typically	ADV
fuelectenerg-2763	23	8	starts	start	VERB
fuelectenerg-2763	23	9	with	with	ADP
fuelectenerg-2763	23	10	the	the	DET
fuelectenerg-2763	23	11	attacker	attacker	NOUN
fuelectenerg-2763	23	12	finding	find	VERB
fuelectenerg-2763	23	13	a	a	DET
fuelectenerg-2763	23	14	set	set	NOUN
fuelectenerg-2763	23	15	of	of	ADP
fuelectenerg-2763	23	16	equations	equation	NOUN
fuelectenerg-2763	23	17	that	that	PRON
fuelectenerg-2763	23	18	can	can	AUX
fuelectenerg-2763	23	19	describe	describe	VERB
fuelectenerg-2763	23	20	the	the	DET
fuelectenerg-2763	23	21	relationship	relationship	NOUN
fuelectenerg-2763	23	22	between	between	ADP
fuelectenerg-2763	23	23	the	the	DET
fuelectenerg-2763	23	24	input	input	NOUN
fuelectenerg-2763	23	25	and	and	CCONJ
fuelectenerg-2763	23	26	the	the	DET
fuelectenerg-2763	23	27	output	output	NOUN
fuelectenerg-2763	23	28	.	.	PUNCT
fuelectenerg-2763	24	1	each	each	DET
fuelectenerg-2763	24	2	equation	equation	NOUN
fuelectenerg-2763	24	3	in	in	ADP
fuelectenerg-2763	24	4	the	the	DET
fuelectenerg-2763	24	5	set	set	NOUN
fuelectenerg-2763	24	6	contains	contain	VERB
fuelectenerg-2763	24	7	an	an	DET
fuelectenerg-2763	24	8	algebraic	algebraic	ADJ
fuelectenerg-2763	24	9	degree	degree	NOUN
fuelectenerg-2763	24	10	.	.	PUNCT
fuelectenerg-2763	25	1	higher	high	ADJ
fuelectenerg-2763	25	2	degree	degree	NOUN
fuelectenerg-2763	25	3	results	result	NOUN
fuelectenerg-2763	25	4	in	in	ADP
fuelectenerg-2763	25	5	higher	high	ADJ
fuelectenerg-2763	25	6	difficulty	difficulty	NOUN
fuelectenerg-2763	25	7	to	to	PART
fuelectenerg-2763	25	8	solve	solve	VERB
fuelectenerg-2763	25	9	the	the	DET
fuelectenerg-2763	25	10	equations	equation	NOUN
fuelectenerg-2763	25	11	.	.	PUNCT
fuelectenerg-2763	26	1	at	at	ADP
fuelectenerg-2763	26	2	the	the	DET
fuelectenerg-2763	26	3	same	same	ADJ
fuelectenerg-2763	26	4	time	time	NOUN
fuelectenerg-2763	26	5	,	,	PUNCT
fuelectenerg-2763	26	6	it	it	PRON
fuelectenerg-2763	26	7	is	be	AUX
fuelectenerg-2763	26	8	very	very	ADV
fuelectenerg-2763	26	9	common	common	ADJ
fuelectenerg-2763	26	10	that	that	SCONJ
fuelectenerg-2763	26	11	the	the	DET
fuelectenerg-2763	26	12	number	number	NOUN
fuelectenerg-2763	26	13	of	of	ADP
fuelectenerg-2763	26	14	multivariate	multivariate	NOUN
fuelectenerg-2763	26	15	equations	equation	NOUN
fuelectenerg-2763	26	16	is	be	AUX
fuelectenerg-2763	26	17	less	less	ADJ
fuelectenerg-2763	26	18	than	than	ADP
fuelectenerg-2763	26	19	the	the	DET
fuelectenerg-2763	26	20	number	number	NOUN
fuelectenerg-2763	26	21	of	of	ADP
fuelectenerg-2763	26	22	variables	variable	NOUN
fuelectenerg-2763	26	23	.	.	PUNCT
fuelectenerg-2763	27	1	therefore	therefore	ADV
fuelectenerg-2763	27	2	,	,	PUNCT
fuelectenerg-2763	27	3	an	an	DET
fuelectenerg-2763	27	4	attacker	attacker	NOUN
fuelectenerg-2763	27	5	would	would	AUX
fuelectenerg-2763	27	6	try	try	VERB
fuelectenerg-2763	27	7	to	to	PART
fuelectenerg-2763	27	8	uncover	uncover	VERB
fuelectenerg-2763	27	9	ways	way	NOUN
fuelectenerg-2763	27	10	that	that	PRON
fuelectenerg-2763	27	11	will	will	AUX
fuelectenerg-2763	27	12	lower	lower	VERB
fuelectenerg-2763	27	13	the	the	DET
fuelectenerg-2763	27	14	algebraic	algebraic	ADJ
fuelectenerg-2763	27	15	degree	degree	NOUN
fuelectenerg-2763	27	16	of	of	ADP
fuelectenerg-2763	27	17	the	the	DET
fuelectenerg-2763	27	18	existing	exist	VERB
fuelectenerg-2763	27	19	equations	equation	NOUN
fuelectenerg-2763	27	20	or	or	CCONJ
fuelectenerg-2763	27	21	new	new	ADJ
fuelectenerg-2763	27	22	independent	independent	ADJ
fuelectenerg-2763	27	23	equations	equation	NOUN
fuelectenerg-2763	27	24	that	that	PRON
fuelectenerg-2763	27	25	will	will	AUX
fuelectenerg-2763	27	26	help	help	VERB
fuelectenerg-2763	27	27	describe	describe	VERB
fuelectenerg-2763	27	28	the	the	DET
fuelectenerg-2763	27	29	relationship	relationship	NOUN
fuelectenerg-2763	27	30	between	between	ADP
fuelectenerg-2763	27	31	input	input	NOUN
fuelectenerg-2763	27	32	and	and	CCONJ
fuelectenerg-2763	27	33	output	output	NOUN
fuelectenerg-2763	27	34	.	.	PUNCT
fuelectenerg-2763	28	1	moreover	moreover	ADV
fuelectenerg-2763	28	2	,	,	PUNCT
fuelectenerg-2763	28	3	it	it	PRON
fuelectenerg-2763	28	4	is	be	AUX
fuelectenerg-2763	28	5	often	often	ADV
fuelectenerg-2763	28	6	possible	possible	ADJ
fuelectenerg-2763	28	7	that	that	SCONJ
fuelectenerg-2763	28	8	the	the	DET
fuelectenerg-2763	28	9	degree	degree	NOUN
fuelectenerg-2763	28	10	can	can	AUX
fuelectenerg-2763	28	11	be	be	AUX
fuelectenerg-2763	28	12	lowered	lower	VERB
fuelectenerg-2763	28	13	or	or	CCONJ
fuelectenerg-2763	28	14	that	that	SCONJ
fuelectenerg-2763	28	15	new	new	ADJ
fuelectenerg-2763	28	16	equations	equation	NOUN
fuelectenerg-2763	28	17	can	can	AUX
fuelectenerg-2763	28	18	be	be	AUX
fuelectenerg-2763	28	19	formed	form	VERB
fuelectenerg-2763	28	20	based	base	VERB
fuelectenerg-2763	28	21	on	on	ADP
fuelectenerg-2763	28	22	some	some	DET
fuelectenerg-2763	28	23	probabilistic	probabilistic	ADJ
fuelectenerg-2763	28	24	condition	condition	NOUN
fuelectenerg-2763	28	25	.	.	PUNCT
fuelectenerg-2763	29	1	finally	finally	ADV
fuelectenerg-2763	29	2	,	,	PUNCT
fuelectenerg-2763	29	3	solving	solve	VERB
fuelectenerg-2763	29	4	the	the	DET
fuelectenerg-2763	29	5	set	set	NOUN
fuelectenerg-2763	29	6	of	of	ADP
fuelectenerg-2763	29	7	equations	equation	NOUN
fuelectenerg-2763	29	8	can	can	AUX
fuelectenerg-2763	29	9	be	be	AUX
fuelectenerg-2763	29	10	done	do	VERB
fuelectenerg-2763	29	11	through	through	ADP
fuelectenerg-2763	29	12	techniques	technique	NOUN
fuelectenerg-2763	29	13	such	such	ADJ
fuelectenerg-2763	29	14	as	as	ADP
fuelectenerg-2763	29	15	gaussian	gaussian	ADJ
fuelectenerg-2763	29	16	reduction	reduction	NOUN
fuelectenerg-2763	29	17	or	or	CCONJ
fuelectenerg-2763	29	18	methods	method	NOUN
fuelectenerg-2763	29	19	described	describe	VERB
fuelectenerg-2763	29	20	in	in	ADP
fuelectenerg-2763	29	21	[	[	X
fuelectenerg-2763	29	22	11	11	NUM
fuelectenerg-2763	29	23	]	]	PUNCT
fuelectenerg-2763	29	24	,	,	PUNCT
fuelectenerg-2763	30	1	[	[	X
fuelectenerg-2763	30	2	12	12	NUM
fuelectenerg-2763	30	3	]	]	PUNCT
fuelectenerg-2763	30	4	,	,	PUNCT
fuelectenerg-2763	30	5	and	and	CCONJ
fuelectenerg-2763	30	6	[	[	X
fuelectenerg-2763	30	7	13	13	NUM
fuelectenerg-2763	30	8	]	]	PUNCT
fuelectenerg-2763	30	9	.	.	PUNCT
fuelectenerg-2763	31	1	addition	addition	NOUN
fuelectenerg-2763	31	2	modulo	modulo	VERB
fuelectenerg-2763	31	3	2	2	NUM
fuelectenerg-2763	31	4	n	n	NOUN
fuelectenerg-2763	31	5	has	have	AUX
fuelectenerg-2763	31	6	been	be	AUX
fuelectenerg-2763	31	7	widely	widely	ADV
fuelectenerg-2763	31	8	used	use	VERB
fuelectenerg-2763	31	9	as	as	ADP
fuelectenerg-2763	31	10	an	an	DET
fuelectenerg-2763	31	11	elementary	elementary	ADJ
fuelectenerg-2763	31	12	cryptographic	cryptographic	ADJ
fuelectenerg-2763	31	13	module	module	NOUN
fuelectenerg-2763	31	14	in	in	ADP
fuelectenerg-2763	31	15	both	both	DET
fuelectenerg-2763	31	16	stream	stream	NOUN
fuelectenerg-2763	31	17	ciphers	cipher	NOUN
fuelectenerg-2763	31	18	,	,	PUNCT
fuelectenerg-2763	31	19	such	such	ADJ
fuelectenerg-2763	31	20	as	as	ADP
fuelectenerg-2763	31	21	cast	cast	NOUN
fuelectenerg-2763	31	22	[	[	X
fuelectenerg-2763	31	23	14	14	NUM
fuelectenerg-2763	31	24	]	]	PUNCT
fuelectenerg-2763	31	25	,	,	PUNCT
fuelectenerg-2763	31	26	twofish	twofish	NOUN
fuelectenerg-2763	31	27	[	[	X
fuelectenerg-2763	31	28	15	15	NUM
fuelectenerg-2763	31	29	]	]	PUNCT
fuelectenerg-2763	31	30	,	,	PUNCT
fuelectenerg-2763	31	31	and	and	CCONJ
fuelectenerg-2763	31	32	mars	mar	NOUN
fuelectenerg-2763	32	1	[	[	X
fuelectenerg-2763	32	2	16	16	NUM
fuelectenerg-2763	32	3	]	]	PUNCT
fuelectenerg-2763	32	4	,	,	PUNCT
fuelectenerg-2763	32	5	and	and	CCONJ
fuelectenerg-2763	32	6	block	block	NOUN
fuelectenerg-2763	32	7	ciphers	cipher	NOUN
fuelectenerg-2763	32	8	,	,	PUNCT
fuelectenerg-2763	32	9	such	such	ADJ
fuelectenerg-2763	32	10	as	as	ADP
fuelectenerg-2763	32	11	sober	sober	NOUN
fuelectenerg-2763	32	12	-	-	PUNCT
fuelectenerg-2763	32	13	t32	t32	NOUN
fuelectenerg-2763	33	1	[	[	X
fuelectenerg-2763	33	2	17	17	NUM
fuelectenerg-2763	33	3	]	]	PUNCT
fuelectenerg-2763	33	4	,	,	PUNCT
fuelectenerg-2763	33	5	snow	snow	NOUN
fuelectenerg-2763	33	6	2.0	2.0	NUM
fuelectenerg-2763	34	1	[	[	X
fuelectenerg-2763	34	2	18	18	NUM
fuelectenerg-2763	34	3	]	]	PUNCT
fuelectenerg-2763	34	4	,	,	PUNCT
fuelectenerg-2763	34	5	and	and	CCONJ
fuelectenerg-2763	34	6	zuc	zuc	PROPN
fuelectenerg-2763	34	7	[	[	X
fuelectenerg-2763	34	8	19	19	NUM
fuelectenerg-2763	34	9	]	]	PUNCT
fuelectenerg-2763	34	10	.	.	PUNCT
fuelectenerg-2763	35	1	typically	typically	ADV
fuelectenerg-2763	35	2	,	,	PUNCT
fuelectenerg-2763	35	3	it	it	PRON
fuelectenerg-2763	35	4	is	be	AUX
fuelectenerg-2763	35	5	used	use	VERB
fuelectenerg-2763	35	6	for	for	ADP
fuelectenerg-2763	35	7	mixing	mixing	NOUN
fuelectenerg-2763	35	8	,	,	PUNCT
fuelectenerg-2763	35	9	which	which	PRON
fuelectenerg-2763	35	10	combines	combine	VERB
fuelectenerg-2763	35	11	two	two	NUM
fuelectenerg-2763	35	12	data	datum	NOUN
fuelectenerg-2763	35	13	sources	source	NOUN
fuelectenerg-2763	35	14	to	to	PART
fuelectenerg-2763	35	15	provide	provide	VERB
fuelectenerg-2763	35	16	security	security	NOUN
fuelectenerg-2763	35	17	.	.	PUNCT
fuelectenerg-2763	36	1	while	while	SCONJ
fuelectenerg-2763	36	2	the	the	DET
fuelectenerg-2763	36	3	logic	logic	NOUN
fuelectenerg-2763	36	4	xor	xor	PROPN
fuelectenerg-2763	36	5	operation	operation	NOUN
fuelectenerg-2763	36	6	is	be	AUX
fuelectenerg-2763	36	7	also	also	ADV
fuelectenerg-2763	36	8	often	often	ADV
fuelectenerg-2763	36	9	used	use	VERB
fuelectenerg-2763	36	10	for	for	ADP
fuelectenerg-2763	36	11	mixing	mixing	NOUN
fuelectenerg-2763	36	12	,	,	PUNCT
fuelectenerg-2763	36	13	modulo	modulo	NOUN
fuelectenerg-2763	36	14	addition	addition	NOUN
fuelectenerg-2763	36	15	offers	offer	VERB
fuelectenerg-2763	36	16	better	well	ADJ
fuelectenerg-2763	36	17	security	security	NOUN
fuelectenerg-2763	36	18	against	against	ADP
fuelectenerg-2763	36	19	algebraic	algebraic	ADJ
fuelectenerg-2763	36	20	attack	attack	NOUN
fuelectenerg-2763	36	21	[	[	X
fuelectenerg-2763	36	22	20	20	NUM
fuelectenerg-2763	36	23	]	]	PUNCT
fuelectenerg-2763	36	24	because	because	SCONJ
fuelectenerg-2763	36	25	it	it	PRON
fuelectenerg-2763	36	26	is	be	AUX
fuelectenerg-2763	36	27	partly	partly	ADV
fuelectenerg-2763	36	28	non	non	ADJ
fuelectenerg-2763	36	29	-	-	ADJ
fuelectenerg-2763	36	30	linear	linear	ADJ
fuelectenerg-2763	36	31	in	in	ADP
fuelectenerg-2763	36	32	gf(2	gf(2	PROPN
fuelectenerg-2763	36	33	)	)	PUNCT
fuelectenerg-2763	36	34	.	.	PUNCT
fuelectenerg-2763	37	1	a	a	DET
fuelectenerg-2763	37	2	linear	linear	ADJ
fuelectenerg-2763	37	3	operation	operation	NOUN
fuelectenerg-2763	37	4	in	in	ADP
fuelectenerg-2763	37	5	gf(2	gf(2	PROPN
fuelectenerg-2763	37	6	)	)	PUNCT
fuelectenerg-2763	37	7	,	,	PUNCT
fuelectenerg-2763	37	8	such	such	ADJ
fuelectenerg-2763	37	9	as	as	ADP
fuelectenerg-2763	37	10	xor	xor	PROPN
fuelectenerg-2763	37	11	,	,	PUNCT
fuelectenerg-2763	37	12	can	can	AUX
fuelectenerg-2763	37	13	be	be	AUX
fuelectenerg-2763	37	14	described	describe	VERB
fuelectenerg-2763	37	15	by	by	ADP
fuelectenerg-2763	37	16	an	an	DET
fuelectenerg-2763	37	17	equation	equation	NOUN
fuelectenerg-2763	37	18	of	of	ADP
fuelectenerg-2763	37	19	algebraic	algebraic	ADJ
fuelectenerg-2763	37	20	degree	degree	NOUN
fuelectenerg-2763	37	21	1	1	NUM
fuelectenerg-2763	37	22	.	.	PUNCT
fuelectenerg-2763	38	1	modulo	modulo	NOUN
fuelectenerg-2763	38	2	addition	addition	NOUN
fuelectenerg-2763	38	3	is	be	AUX
fuelectenerg-2763	38	4	linear	linear	ADJ
fuelectenerg-2763	38	5	only	only	ADV
fuelectenerg-2763	38	6	at	at	ADP
fuelectenerg-2763	38	7	its	its	PRON
fuelectenerg-2763	38	8	least	least	ADJ
fuelectenerg-2763	38	9	significant	significant	ADJ
fuelectenerg-2763	38	10	bit	bit	NOUN
fuelectenerg-2763	38	11	(	(	PUNCT
fuelectenerg-2763	38	12	lsb	lsb	PROPN
fuelectenerg-2763	38	13	)	)	PUNCT
fuelectenerg-2763	38	14	;	;	PUNCT
fuelectenerg-2763	38	15	therefore	therefore	ADV
fuelectenerg-2763	38	16	,	,	PUNCT
fuelectenerg-2763	38	17	it	it	PRON
fuelectenerg-2763	38	18	is	be	AUX
fuelectenerg-2763	38	19	harder	hard	ADJ
fuelectenerg-2763	38	20	for	for	SCONJ
fuelectenerg-2763	38	21	an	an	DET
fuelectenerg-2763	38	22	attacker	attacker	NOUN
fuelectenerg-2763	38	23	to	to	PART
fuelectenerg-2763	38	24	solve	solve	VERB
fuelectenerg-2763	38	25	using	use	VERB
fuelectenerg-2763	38	26	algebraic	algebraic	ADJ
fuelectenerg-2763	38	27	attack	attack	NOUN
fuelectenerg-2763	38	28	.	.	PUNCT
fuelectenerg-2763	39	1	it	it	PRON
fuelectenerg-2763	39	2	has	have	AUX
fuelectenerg-2763	39	3	been	be	AUX
fuelectenerg-2763	39	4	discovered	discover	VERB
fuelectenerg-2763	39	5	that	that	SCONJ
fuelectenerg-2763	39	6	the	the	DET
fuelectenerg-2763	39	7	algebraic	algebraic	ADJ
fuelectenerg-2763	39	8	degree	degree	NOUN
fuelectenerg-2763	39	9	of	of	ADP
fuelectenerg-2763	39	10	the	the	DET
fuelectenerg-2763	39	11	formulae	formulae	NOUN
fuelectenerg-2763	39	12	describing	describe	VERB
fuelectenerg-2763	39	13	modulo	modulo	NOUN
fuelectenerg-2763	39	14	addition	addition	NOUN
fuelectenerg-2763	39	15	can	can	AUX
fuelectenerg-2763	39	16	be	be	AUX
fuelectenerg-2763	39	17	reduced	reduce	VERB
fuelectenerg-2763	39	18	to	to	ADP
fuelectenerg-2763	39	19	quadratic	quadratic	ADJ
fuelectenerg-2763	39	20	[	[	X
fuelectenerg-2763	39	21	11	11	NUM
fuelectenerg-2763	39	22	]	]	PUNCT
fuelectenerg-2763	39	23	.	.	PUNCT
fuelectenerg-2763	40	1	at	at	ADP
fuelectenerg-2763	40	2	the	the	DET
fuelectenerg-2763	40	3	same	same	ADJ
fuelectenerg-2763	40	4	time	time	NOUN
fuelectenerg-2763	40	5	,	,	PUNCT
fuelectenerg-2763	40	6	conditional	conditional	ADJ
fuelectenerg-2763	40	7	properties	property	NOUN
fuelectenerg-2763	40	8	of	of	ADP
fuelectenerg-2763	40	9	the	the	DET
fuelectenerg-2763	40	10	modulo	modulo	NOUN
fuelectenerg-2763	40	11	addition	addition	NOUN
fuelectenerg-2763	40	12	are	be	AUX
fuelectenerg-2763	40	13	also	also	ADV
fuelectenerg-2763	40	14	discovered	discover	VERB
fuelectenerg-2763	40	15	to	to	PART
fuelectenerg-2763	40	16	lower	lower	VERB
fuelectenerg-2763	40	17	the	the	DET
fuelectenerg-2763	40	18	algebraic	algebraic	ADJ
fuelectenerg-2763	40	19	degree	degree	NOUN
fuelectenerg-2763	40	20	and	and	CCONJ
fuelectenerg-2763	40	21	create	create	VERB
fuelectenerg-2763	40	22	new	new	ADJ
fuelectenerg-2763	40	23	independent	independent	ADJ
fuelectenerg-2763	40	24	equations	equation	NOUN
fuelectenerg-2763	40	25	.	.	PUNCT
fuelectenerg-2763	41	1	these	these	DET
fuelectenerg-2763	41	2	techniques	technique	NOUN
fuelectenerg-2763	41	3	help	help	NOUN
fuelectenerg-2763	41	4	reduce	reduce	VERB
fuelectenerg-2763	41	5	the	the	DET
fuelectenerg-2763	41	6	complexity	complexity	NOUN
fuelectenerg-2763	41	7	of	of	ADP
fuelectenerg-2763	41	8	solving	solve	VERB
fuelectenerg-2763	41	9	modulo	modulo	NOUN
fuelectenerg-2763	41	10	addition	addition	NOUN
fuelectenerg-2763	41	11	tremendously	tremendously	ADV
fuelectenerg-2763	41	12	.	.	PUNCT
fuelectenerg-2763	42	1	as	as	ADP
fuelectenerg-2763	42	2	a	a	DET
fuelectenerg-2763	42	3	result	result	NOUN
fuelectenerg-2763	42	4	,	,	PUNCT
fuelectenerg-2763	42	5	this	this	DET
fuelectenerg-2763	42	6	paper	paper	NOUN
fuelectenerg-2763	42	7	aims	aim	VERB
fuelectenerg-2763	42	8	to	to	PART
fuelectenerg-2763	42	9	devise	devise	VERB
fuelectenerg-2763	42	10	a	a	DET
fuelectenerg-2763	42	11	new	new	ADJ
fuelectenerg-2763	42	12	structure	structure	NOUN
fuelectenerg-2763	42	13	that	that	PRON
fuelectenerg-2763	42	14	will	will	AUX
fuelectenerg-2763	42	15	increase	increase	VERB
fuelectenerg-2763	42	16	the	the	DET
fuelectenerg-2763	42	17	algebraic	algebraic	ADJ
fuelectenerg-2763	42	18	degree	degree	NOUN
fuelectenerg-2763	42	19	when	when	SCONJ
fuelectenerg-2763	42	20	compared	compare	VERB
fuelectenerg-2763	42	21	to	to	ADP
fuelectenerg-2763	42	22	the	the	DET
fuelectenerg-2763	42	23	traditional	traditional	ADJ
fuelectenerg-2763	42	24	modulo	modulo	NOUN
fuelectenerg-2763	42	25	addition	addition	NOUN
fuelectenerg-2763	42	26	and	and	CCONJ
fuelectenerg-2763	42	27	increase	increase	VERB
fuelectenerg-2763	42	28	the	the	DET
fuelectenerg-2763	42	29	difficulty	difficulty	NOUN
fuelectenerg-2763	42	30	of	of	ADP
fuelectenerg-2763	42	31	using	use	VERB
fuelectenerg-2763	42	32	the	the	DET
fuelectenerg-2763	42	33	conditional	conditional	ADJ
fuelectenerg-2763	42	34	properties	property	NOUN
fuelectenerg-2763	42	35	.	.	PUNCT
fuelectenerg-2763	43	1	at	at	ADP
fuelectenerg-2763	43	2	the	the	DET
fuelectenerg-2763	43	3	same	same	ADJ
fuelectenerg-2763	43	4	time	time	NOUN
fuelectenerg-2763	43	5	,	,	PUNCT
fuelectenerg-2763	43	6	the	the	DET
fuelectenerg-2763	43	7	size	size	NOUN
fuelectenerg-2763	43	8	of	of	ADP
fuelectenerg-2763	43	9	the	the	DET
fuelectenerg-2763	43	10	structure	structure	NOUN
fuelectenerg-2763	43	11	is	be	AUX
fuelectenerg-2763	43	12	user	user	NOUN
fuelectenerg-2763	43	13	-	-	PUNCT
fuelectenerg-2763	43	14	defined	define	VERB
fuelectenerg-2763	43	15	and	and	CCONJ
fuelectenerg-2763	43	16	flexible	flexible	ADJ
fuelectenerg-2763	43	17	,	,	PUNCT
fuelectenerg-2763	43	18	providing	provide	VERB
fuelectenerg-2763	43	19	the	the	DET
fuelectenerg-2763	43	20	users	user	NOUN
fuelectenerg-2763	43	21	a	a	DET
fuelectenerg-2763	43	22	scalable	scalable	ADJ
fuelectenerg-2763	43	23	security	security	NOUN
fuelectenerg-2763	43	24	against	against	ADP
fuelectenerg-2763	43	25	algebraic	algebraic	ADJ
fuelectenerg-2763	43	26	attack	attack	NOUN
fuelectenerg-2763	43	27	specifically	specifically	ADV
fuelectenerg-2763	43	28	when	when	SCONJ
fuelectenerg-2763	43	29	security	security	NOUN
fuelectenerg-2763	43	30	is	be	AUX
fuelectenerg-2763	43	31	considered	consider	VERB
fuelectenerg-2763	43	32	as	as	ADP
fuelectenerg-2763	43	33	a	a	DET
fuelectenerg-2763	43	34	key	key	ADJ
fuelectenerg-2763	43	35	requirement	requirement	NOUN
fuelectenerg-2763	43	36	during	during	ADP
fuelectenerg-2763	43	37	the	the	DET
fuelectenerg-2763	43	38	early	early	ADJ
fuelectenerg-2763	43	39	stages	stage	NOUN
fuelectenerg-2763	43	40	of	of	ADP
fuelectenerg-2763	43	41	systems	system	NOUN
fuelectenerg-2763	43	42	development	development	NOUN
fuelectenerg-2763	43	43	[	[	X
fuelectenerg-2763	43	44	21][22][23][24	21][22][23][24	NUM
fuelectenerg-2763	43	45	]	]	X
fuelectenerg-2763	43	46	.	.	PUNCT
fuelectenerg-2763	44	1	the	the	DET
fuelectenerg-2763	44	2	paper	paper	NOUN
fuelectenerg-2763	44	3	is	be	AUX
fuelectenerg-2763	44	4	structured	structure	VERB
fuelectenerg-2763	44	5	as	as	ADP
fuelectenerg-2763	44	6	the	the	DET
fuelectenerg-2763	44	7	following	following	NOUN
fuelectenerg-2763	44	8	:	:	PUNCT
fuelectenerg-2763	44	9	section	section	NOUN
fuelectenerg-2763	44	10	2	2	NUM
fuelectenerg-2763	44	11	discusses	discuss	VERB
fuelectenerg-2763	44	12	the	the	DET
fuelectenerg-2763	44	13	complexity	complexity	NOUN
fuelectenerg-2763	44	14	of	of	ADP
fuelectenerg-2763	44	15	algebraic	algebraic	ADJ
fuelectenerg-2763	44	16	attack	attack	NOUN
fuelectenerg-2763	44	17	and	and	CCONJ
fuelectenerg-2763	44	18	describes	describe	VERB
fuelectenerg-2763	44	19	in	in	ADP
fuelectenerg-2763	44	20	detail	detail	NOUN
fuelectenerg-2763	44	21	modulo	modulo	NOUN
fuelectenerg-2763	44	22	addition	addition	NOUN
fuelectenerg-2763	44	23	under	under	ADP
fuelectenerg-2763	44	24	the	the	DET
fuelectenerg-2763	44	25	lens	lens	NOUN
fuelectenerg-2763	44	26	of	of	ADP
fuelectenerg-2763	44	27	algebraic	algebraic	ADJ
fuelectenerg-2763	44	28	attack	attack	NOUN
fuelectenerg-2763	44	29	.	.	PUNCT
fuelectenerg-2763	45	1	section	section	NOUN
fuelectenerg-2763	45	2	3	3	NUM
fuelectenerg-2763	45	3	presents	present	VERB
fuelectenerg-2763	45	4	the	the	DET
fuelectenerg-2763	45	5	details	detail	NOUN
fuelectenerg-2763	45	6	of	of	ADP
fuelectenerg-2763	45	7	the	the	DET
fuelectenerg-2763	45	8	proposed	propose	VERB
fuelectenerg-2763	45	9	design	design	NOUN
fuelectenerg-2763	45	10	.	.	PUNCT
fuelectenerg-2763	46	1	section	section	NOUN
fuelectenerg-2763	46	2	4	4	NUM
fuelectenerg-2763	46	3	provides	provide	VERB
fuelectenerg-2763	46	4	the	the	DET
fuelectenerg-2763	46	5	analysis	analysis	NOUN
fuelectenerg-2763	46	6	of	of	ADP
fuelectenerg-2763	46	7	the	the	DET
fuelectenerg-2763	46	8	design	design	NOUN
fuelectenerg-2763	46	9	and	and	CCONJ
fuelectenerg-2763	46	10	compares	compare	VERB
fuelectenerg-2763	46	11	the	the	DET
fuelectenerg-2763	46	12	design	design	NOUN
fuelectenerg-2763	46	13	with	with	ADP
fuelectenerg-2763	46	14	traditional	traditional	ADJ
fuelectenerg-2763	46	15	modulo	modulo	NOUN
fuelectenerg-2763	46	16	addition	addition	NOUN
fuelectenerg-2763	46	17	.	.	PUNCT
fuelectenerg-2763	47	1	section	section	NOUN
fuelectenerg-2763	47	2	5	5	NUM
fuelectenerg-2763	47	3	demonstrates	demonstrate	VERB
fuelectenerg-2763	47	4	the	the	DET
fuelectenerg-2763	47	5	application	application	NOUN
fuelectenerg-2763	47	6	of	of	ADP
fuelectenerg-2763	47	7	the	the	DET
fuelectenerg-2763	47	8	new	new	ADJ
fuelectenerg-2763	47	9	design	design	NOUN
fuelectenerg-2763	47	10	in	in	ADP
fuelectenerg-2763	47	11	a	a	DET
fuelectenerg-2763	47	12	contemporary	contemporary	ADJ
fuelectenerg-2763	47	13	stream	stream	NOUN
fuelectenerg-2763	47	14	cipher	cipher	ADJ
fuelectenerg-2763	47	15	example	example	NOUN
fuelectenerg-2763	47	16	and	and	CCONJ
fuelectenerg-2763	47	17	gives	give	VERB
fuelectenerg-2763	47	18	the	the	DET
fuelectenerg-2763	47	19	analysis	analysis	NOUN
fuelectenerg-2763	47	20	of	of	ADP
fuelectenerg-2763	47	21	its	its	PRON
fuelectenerg-2763	47	22	application	application	NOUN
fuelectenerg-2763	47	23	.	.	PUNCT
fuelectenerg-2763	48	1	finally	finally	ADV
fuelectenerg-2763	48	2	,	,	PUNCT
fuelectenerg-2763	48	3	section	section	NOUN
fuelectenerg-2763	48	4	6	6	NUM
fuelectenerg-2763	48	5	summarizes	summarize	NOUN
fuelectenerg-2763	48	6	the	the	DET
fuelectenerg-2763	48	7	proposed	propose	VERB
fuelectenerg-2763	48	8	design	design	NOUN
fuelectenerg-2763	48	9	briefly	briefly	ADV
fuelectenerg-2763	48	10	.	.	PUNCT
fuelectenerg-2763	49	1	a	a	DET
fuelectenerg-2763	49	2	novel	novel	ADJ
fuelectenerg-2763	49	3	architecture	architecture	NOUN
fuelectenerg-2763	49	4	with	with	ADP
fuelectenerg-2763	49	5	scalable	scalable	ADJ
fuelectenerg-2763	49	6	security	security	NOUN
fuelectenerg-2763	49	7	having	have	VERB
fuelectenerg-2763	49	8	expandable	expandable	ADJ
fuelectenerg-2763	49	9	computational	computational	ADJ
fuelectenerg-2763	49	10	complexity	complexity	NOUN
fuelectenerg-2763	49	11	461	461	NUM
fuelectenerg-2763	49	12	2	2	NUM
fuelectenerg-2763	49	13	.	.	PUNCT
fuelectenerg-2763	49	14	preliminaries	preliminary	NOUN
fuelectenerg-2763	49	15	and	and	CCONJ
fuelectenerg-2763	49	16	terminology	terminology	NOUN
fuelectenerg-2763	49	17	2.1	2.1	NUM
fuelectenerg-2763	49	18	.	.	PUNCT
fuelectenerg-2763	50	1	algebraic	algebraic	ADJ
fuelectenerg-2763	50	2	attack	attack	NOUN
fuelectenerg-2763	50	3	and	and	CCONJ
fuelectenerg-2763	50	4	its	its	PRON
fuelectenerg-2763	50	5	complexity	complexity	NOUN
fuelectenerg-2763	50	6	the	the	DET
fuelectenerg-2763	50	7	steps	step	NOUN
fuelectenerg-2763	50	8	taken	take	VERB
fuelectenerg-2763	50	9	typically	typically	ADV
fuelectenerg-2763	50	10	in	in	ADP
fuelectenerg-2763	50	11	an	an	DET
fuelectenerg-2763	50	12	algebraic	algebraic	ADJ
fuelectenerg-2763	50	13	attack	attack	NOUN
fuelectenerg-2763	50	14	can	can	AUX
fuelectenerg-2763	50	15	be	be	AUX
fuelectenerg-2763	50	16	summarized	summarize	VERB
fuelectenerg-2763	50	17	as	as	ADP
fuelectenerg-2763	50	18	the	the	DET
fuelectenerg-2763	50	19	following	following	NOUN
fuelectenerg-2763	50	20	:	:	PUNCT
fuelectenerg-2763	50	21			X
fuelectenerg-2763	50	22	formulate	formulate	ADJ
fuelectenerg-2763	50	23	multivariate	multivariate	NOUN
fuelectenerg-2763	50	24	polynomials	polynomial	NOUN
fuelectenerg-2763	50	25	equations	equation	NOUN
fuelectenerg-2763	50	26	describing	describe	VERB
fuelectenerg-2763	50	27	input	input	NOUN
fuelectenerg-2763	50	28	-	-	PUNCT
fuelectenerg-2763	50	29	output	output	NOUN
fuelectenerg-2763	50	30	relations	relation	NOUN
fuelectenerg-2763	50	31	with	with	ADP
fuelectenerg-2763	50	32	probability	probability	NOUN
fuelectenerg-2763	50	33	1	1	NUM
fuelectenerg-2763	50	34			NOUN
fuelectenerg-2763	50	35	explore	explore	VERB
fuelectenerg-2763	50	36	additional	additional	ADJ
fuelectenerg-2763	50	37	independent	independent	ADJ
fuelectenerg-2763	50	38	equations	equation	NOUN
fuelectenerg-2763	50	39	supplementing	supplement	VERB
fuelectenerg-2763	50	40	the	the	DET
fuelectenerg-2763	50	41	existing	exist	VERB
fuelectenerg-2763	50	42	system	system	NOUN
fuelectenerg-2763	50	43	of	of	ADP
fuelectenerg-2763	50	44	equations	equation	NOUN
fuelectenerg-2763	50	45	with	with	ADP
fuelectenerg-2763	50	46	probability	probability	NOUN
fuelectenerg-2763	50	47	1	1	NUM
fuelectenerg-2763	50	48	or	or	CCONJ
fuelectenerg-2763	50	49	close	close	ADJ
fuelectenerg-2763	50	50	to	to	PART
fuelectenerg-2763	50	51	1	1	NUM
fuelectenerg-2763	50	52			NOUN
fuelectenerg-2763	50	53	explore	explore	NOUN
fuelectenerg-2763	50	54	conditions	condition	NOUN
fuelectenerg-2763	50	55	that	that	PRON
fuelectenerg-2763	50	56	can	can	AUX
fuelectenerg-2763	50	57	lower	lower	VERB
fuelectenerg-2763	50	58	the	the	DET
fuelectenerg-2763	50	59	algebraic	algebraic	ADJ
fuelectenerg-2763	50	60	degree	degree	NOUN
fuelectenerg-2763	50	61	of	of	ADP
fuelectenerg-2763	50	62	the	the	DET
fuelectenerg-2763	50	63	system	system	NOUN
fuelectenerg-2763	50	64	of	of	ADP
fuelectenerg-2763	50	65	equations	equation	NOUN
fuelectenerg-2763	50	66			X
fuelectenerg-2763	50	67	solve	solve	VERB
fuelectenerg-2763	50	68	the	the	DET
fuelectenerg-2763	50	69	system	system	NOUN
fuelectenerg-2763	50	70	of	of	ADP
fuelectenerg-2763	50	71	equations	equation	NOUN
fuelectenerg-2763	50	72	with	with	ADP
fuelectenerg-2763	50	73	the	the	DET
fuelectenerg-2763	50	74	appropriate	appropriate	ADJ
fuelectenerg-2763	50	75	techniques	technique	NOUN
fuelectenerg-2763	50	76	.	.	PUNCT
fuelectenerg-2763	51	1	algebraic	algebraic	ADJ
fuelectenerg-2763	51	2	immunity	immunity	NOUN
fuelectenerg-2763	51	3	is	be	AUX
fuelectenerg-2763	51	4	a	a	DET
fuelectenerg-2763	51	5	metric	metric	NOUN
fuelectenerg-2763	51	6	that	that	PRON
fuelectenerg-2763	51	7	has	have	AUX
fuelectenerg-2763	51	8	been	be	AUX
fuelectenerg-2763	51	9	developed	develop	VERB
fuelectenerg-2763	51	10	[	[	X
fuelectenerg-2763	51	11	25	25	NUM
fuelectenerg-2763	51	12	]	]	PUNCT
fuelectenerg-2763	51	13	to	to	PART
fuelectenerg-2763	51	14	provide	provide	VERB
fuelectenerg-2763	51	15	a	a	DET
fuelectenerg-2763	51	16	fast	fast	ADJ
fuelectenerg-2763	51	17	evaluation	evaluation	NOUN
fuelectenerg-2763	51	18	of	of	ADP
fuelectenerg-2763	51	19	the	the	DET
fuelectenerg-2763	51	20	security	security	NOUN
fuelectenerg-2763	51	21	against	against	ADP
fuelectenerg-2763	51	22	algebraic	algebraic	ADJ
fuelectenerg-2763	51	23	attack	attack	NOUN
fuelectenerg-2763	51	24	for	for	ADP
fuelectenerg-2763	51	25	a	a	DET
fuelectenerg-2763	51	26	given	give	VERB
fuelectenerg-2763	51	27	cryptographic	cryptographic	ADJ
fuelectenerg-2763	51	28	function	function	NOUN
fuelectenerg-2763	51	29	.	.	PUNCT
fuelectenerg-2763	52	1	it	it	PRON
fuelectenerg-2763	52	2	is	be	AUX
fuelectenerg-2763	52	3	defined	define	VERB
fuelectenerg-2763	52	4	as	as	ADP
fuelectenerg-2763	52	5	the	the	DET
fuelectenerg-2763	52	6	minimum	minimum	ADJ
fuelectenerg-2763	52	7	algebraic	algebraic	ADJ
fuelectenerg-2763	52	8	degree	degree	NOUN
fuelectenerg-2763	52	9	in	in	ADP
fuelectenerg-2763	52	10	the	the	DET
fuelectenerg-2763	52	11	system	system	NOUN
fuelectenerg-2763	52	12	of	of	ADP
fuelectenerg-2763	52	13	equations	equation	NOUN
fuelectenerg-2763	52	14	.	.	PUNCT
fuelectenerg-2763	53	1	moreover	moreover	ADV
fuelectenerg-2763	53	2	,	,	PUNCT
fuelectenerg-2763	53	3	the	the	DET
fuelectenerg-2763	53	4	algebraic	algebraic	ADJ
fuelectenerg-2763	53	5	immunity	immunity	NOUN
fuelectenerg-2763	53	6	has	have	AUX
fuelectenerg-2763	53	7	been	be	AUX
fuelectenerg-2763	53	8	deemed	deem	VERB
fuelectenerg-2763	53	9	to	to	PART
fuelectenerg-2763	53	10	be	be	AUX
fuelectenerg-2763	53	11	insufficient	insufficient	ADJ
fuelectenerg-2763	53	12	and	and	CCONJ
fuelectenerg-2763	53	13	the	the	DET
fuelectenerg-2763	53	14	describing	describing	NOUN
fuelectenerg-2763	53	15	degree	degree	NOUN
fuelectenerg-2763	53	16	,	,	PUNCT
fuelectenerg-2763	53	17	which	which	PRON
fuelectenerg-2763	53	18	is	be	AUX
fuelectenerg-2763	53	19	the	the	DET
fuelectenerg-2763	53	20	minimum	minimum	ADJ
fuelectenerg-2763	53	21	algebraic	algebraic	ADJ
fuelectenerg-2763	53	22	degree	degree	NOUN
fuelectenerg-2763	53	23	such	such	ADJ
fuelectenerg-2763	53	24	that	that	SCONJ
fuelectenerg-2763	53	25	an	an	DET
fuelectenerg-2763	53	26	s	s	NOUN
fuelectenerg-2763	53	27	-	-	NOUN
fuelectenerg-2763	53	28	box	box	NOUN
fuelectenerg-2763	53	29	can	can	AUX
fuelectenerg-2763	53	30	be	be	AUX
fuelectenerg-2763	53	31	entirely	entirely	ADV
fuelectenerg-2763	53	32	defined	define	VERB
fuelectenerg-2763	53	33	by	by	ADP
fuelectenerg-2763	53	34	equations	equation	NOUN
fuelectenerg-2763	53	35	of	of	ADP
fuelectenerg-2763	53	36	that	that	DET
fuelectenerg-2763	53	37	minimum	minimum	NOUN
fuelectenerg-2763	53	38	degree	degree	NOUN
fuelectenerg-2763	53	39	,	,	PUNCT
fuelectenerg-2763	53	40	has	have	AUX
fuelectenerg-2763	53	41	been	be	AUX
fuelectenerg-2763	53	42	developed	develop	VERB
fuelectenerg-2763	53	43	to	to	PART
fuelectenerg-2763	53	44	provide	provide	VERB
fuelectenerg-2763	53	45	a	a	DET
fuelectenerg-2763	53	46	more	more	ADV
fuelectenerg-2763	53	47	thorough	thorough	ADJ
fuelectenerg-2763	53	48	evaluation	evaluation	NOUN
fuelectenerg-2763	53	49	of	of	ADP
fuelectenerg-2763	53	50	security	security	NOUN
fuelectenerg-2763	53	51	against	against	ADP
fuelectenerg-2763	53	52	algebraic	algebraic	ADJ
fuelectenerg-2763	53	53	attack	attack	NOUN
fuelectenerg-2763	54	1	[	[	X
fuelectenerg-2763	54	2	20	20	NUM
fuelectenerg-2763	54	3	]	]	PUNCT
fuelectenerg-2763	54	4	.	.	PUNCT
fuelectenerg-2763	55	1	these	these	DET
fuelectenerg-2763	55	2	metrics	metric	NOUN
fuelectenerg-2763	55	3	all	all	PRON
fuelectenerg-2763	55	4	focus	focus	VERB
fuelectenerg-2763	55	5	on	on	ADP
fuelectenerg-2763	55	6	measuring	measure	VERB
fuelectenerg-2763	55	7	the	the	DET
fuelectenerg-2763	55	8	algebraic	algebraic	ADJ
fuelectenerg-2763	55	9	degree	degree	NOUN
fuelectenerg-2763	55	10	of	of	ADP
fuelectenerg-2763	55	11	the	the	DET
fuelectenerg-2763	55	12	set	set	NOUN
fuelectenerg-2763	55	13	of	of	ADP
fuelectenerg-2763	55	14	equations	equation	NOUN
fuelectenerg-2763	55	15	that	that	PRON
fuelectenerg-2763	55	16	describes	describe	VERB
fuelectenerg-2763	55	17	the	the	DET
fuelectenerg-2763	55	18	targeted	target	VERB
fuelectenerg-2763	55	19	function	function	NOUN
fuelectenerg-2763	55	20	because	because	SCONJ
fuelectenerg-2763	55	21	the	the	DET
fuelectenerg-2763	55	22	degree	degree	NOUN
fuelectenerg-2763	55	23	has	have	VERB
fuelectenerg-2763	55	24	direct	direct	ADJ
fuelectenerg-2763	55	25	relationship	relationship	NOUN
fuelectenerg-2763	55	26	to	to	ADP
fuelectenerg-2763	55	27	the	the	DET
fuelectenerg-2763	55	28	complexity	complexity	NOUN
fuelectenerg-2763	55	29	of	of	ADP
fuelectenerg-2763	55	30	solving	solve	VERB
fuelectenerg-2763	55	31	the	the	DET
fuelectenerg-2763	55	32	set	set	NOUN
fuelectenerg-2763	55	33	of	of	ADP
fuelectenerg-2763	55	34	equations	equation	NOUN
fuelectenerg-2763	55	35	.	.	PUNCT
fuelectenerg-2763	56	1	these	these	DET
fuelectenerg-2763	56	2	metrics	metric	NOUN
fuelectenerg-2763	56	3	do	do	AUX
fuelectenerg-2763	56	4	not	not	PART
fuelectenerg-2763	56	5	attempt	attempt	VERB
fuelectenerg-2763	56	6	to	to	PART
fuelectenerg-2763	56	7	address	address	VERB
fuelectenerg-2763	56	8	fault	fault	NOUN
fuelectenerg-2763	56	9	attacks	attack	NOUN
fuelectenerg-2763	56	10	employ	employ	VERB
fuelectenerg-2763	56	11	that	that	SCONJ
fuelectenerg-2763	56	12	inject	inject	NOUN
fuelectenerg-2763	56	13	faults	fault	NOUN
fuelectenerg-2763	56	14	at	at	ADP
fuelectenerg-2763	56	15	any	any	DET
fuelectenerg-2763	56	16	random	random	ADJ
fuelectenerg-2763	56	17	location	location	NOUN
fuelectenerg-2763	56	18	and	and	CCONJ
fuelectenerg-2763	56	19	random	random	ADJ
fuelectenerg-2763	56	20	point	point	NOUN
fuelectenerg-2763	56	21	of	of	ADP
fuelectenerg-2763	56	22	time	time	NOUN
fuelectenerg-2763	56	23	for	for	ADP
fuelectenerg-2763	56	24	a	a	DET
fuelectenerg-2763	56	25	stream	stream	NOUN
fuelectenerg-2763	56	26	cipher	cipher	ADJ
fuelectenerg-2763	57	1	[	[	X
fuelectenerg-2763	57	2	26	26	NUM
fuelectenerg-2763	57	3	]	]	PUNCT
fuelectenerg-2763	57	4	.	.	PUNCT
fuelectenerg-2763	58	1	the	the	DET
fuelectenerg-2763	58	2	complexity	complexity	NOUN
fuelectenerg-2763	58	3	of	of	ADP
fuelectenerg-2763	58	4	solving	solve	VERB
fuelectenerg-2763	58	5	algebraic	algebraic	ADJ
fuelectenerg-2763	58	6	attack	attack	NOUN
fuelectenerg-2763	58	7	has	have	AUX
fuelectenerg-2763	58	8	been	be	AUX
fuelectenerg-2763	58	9	explored	explore	VERB
fuelectenerg-2763	58	10	in	in	ADP
fuelectenerg-2763	58	11	[	[	X
fuelectenerg-2763	58	12	5	5	NUM
fuelectenerg-2763	58	13	]	]	PUNCT
fuelectenerg-2763	58	14	and	and	CCONJ
fuelectenerg-2763	58	15	[	[	X
fuelectenerg-2763	58	16	7	7	NUM
fuelectenerg-2763	58	17	]	]	PUNCT
fuelectenerg-2763	58	18	.	.	PUNCT
fuelectenerg-2763	59	1	though	though	SCONJ
fuelectenerg-2763	59	2	the	the	DET
fuelectenerg-2763	59	3	complexity	complexity	NOUN
fuelectenerg-2763	59	4	can	can	AUX
fuelectenerg-2763	59	5	vary	vary	VERB
fuelectenerg-2763	59	6	depending	depend	VERB
fuelectenerg-2763	59	7	on	on	ADP
fuelectenerg-2763	59	8	the	the	DET
fuelectenerg-2763	59	9	specific	specific	ADJ
fuelectenerg-2763	59	10	method	method	NOUN
fuelectenerg-2763	59	11	used	use	VERB
fuelectenerg-2763	59	12	,	,	PUNCT
fuelectenerg-2763	59	13	it	it	PRON
fuelectenerg-2763	59	14	can	can	AUX
fuelectenerg-2763	59	15	be	be	AUX
fuelectenerg-2763	59	16	generalized	generalize	VERB
fuelectenerg-2763	59	17	by	by	ADP
fuelectenerg-2763	59	18	using	use	VERB
fuelectenerg-2763	59	19	the	the	DET
fuelectenerg-2763	59	20	estimation	estimation	NOUN
fuelectenerg-2763	59	21	of	of	ADP
fuelectenerg-2763	59	22	the	the	DET
fuelectenerg-2763	59	23	complexity	complexity	NOUN
fuelectenerg-2763	59	24	of	of	ADP
fuelectenerg-2763	59	25	a	a	DET
fuelectenerg-2763	59	26	gaussian	gaussian	ADJ
fuelectenerg-2763	59	27	elimination	elimination	NOUN
fuelectenerg-2763	59	28	.	.	PUNCT
fuelectenerg-2763	60	1	when	when	SCONJ
fuelectenerg-2763	60	2	applying	apply	VERB
fuelectenerg-2763	60	3	algebraic	algebraic	ADJ
fuelectenerg-2763	60	4	attack	attack	NOUN
fuelectenerg-2763	60	5	on	on	ADP
fuelectenerg-2763	60	6	a	a	DET
fuelectenerg-2763	60	7	generic	generic	ADJ
fuelectenerg-2763	60	8	stream	stream	NOUN
fuelectenerg-2763	60	9	cipher	cipher	ADJ
fuelectenerg-2763	60	10	,	,	PUNCT
fuelectenerg-2763	60	11	the	the	DET
fuelectenerg-2763	60	12	complexity	complexity	NOUN
fuelectenerg-2763	60	13	can	can	AUX
fuelectenerg-2763	60	14	be	be	AUX
fuelectenerg-2763	60	15	estimated	estimate	VERB
fuelectenerg-2763	60	16	with	with	ADP
fuelectenerg-2763	60	17	the	the	DET
fuelectenerg-2763	60	18	following	follow	VERB
fuelectenerg-2763	60	19	steps	step	NOUN
fuelectenerg-2763	60	20	:	:	PUNCT
fuelectenerg-2763	60	21			VERB
fuelectenerg-2763	60	22	define	define	VERB
fuelectenerg-2763	60	23	r	r	NOUN
fuelectenerg-2763	60	24	as	as	ADP
fuelectenerg-2763	60	25	the	the	DET
fuelectenerg-2763	60	26	number	number	NOUN
fuelectenerg-2763	60	27	of	of	ADP
fuelectenerg-2763	60	28	multivariate	multivariate	NOUN
fuelectenerg-2763	60	29	equations	equation	NOUN
fuelectenerg-2763	60	30	formed	form	VERB
fuelectenerg-2763	60	31	between	between	ADP
fuelectenerg-2763	60	32	the	the	DET
fuelectenerg-2763	60	33	output	output	NOUN
fuelectenerg-2763	60	34	bit	bit	NOUN
fuelectenerg-2763	60	35	and	and	CCONJ
fuelectenerg-2763	60	36	the	the	DET
fuelectenerg-2763	60	37	states	state	NOUN
fuelectenerg-2763	60	38	in	in	ADP
fuelectenerg-2763	60	39	the	the	DET
fuelectenerg-2763	60	40	stream	stream	NOUN
fuelectenerg-2763	60	41	cipher	cipher	ADJ
fuelectenerg-2763	60	42			X
fuelectenerg-2763	60	43	define	define	VERB
fuelectenerg-2763	60	44	n	n	PRON
fuelectenerg-2763	60	45	as	as	SCONJ
fuelectenerg-2763	60	46	the	the	DET
fuelectenerg-2763	60	47	number	number	NOUN
fuelectenerg-2763	60	48	of	of	ADP
fuelectenerg-2763	60	49	variables	variable	NOUN
fuelectenerg-2763	60	50	in	in	ADP
fuelectenerg-2763	60	51	the	the	DET
fuelectenerg-2763	60	52	stream	stream	NOUN
fuelectenerg-2763	60	53	cipher	cipher	ADJ
fuelectenerg-2763	60	54	or	or	CCONJ
fuelectenerg-2763	60	55	the	the	DET
fuelectenerg-2763	60	56	number	number	NOUN
fuelectenerg-2763	60	57	of	of	ADP
fuelectenerg-2763	60	58	states	state	NOUN
fuelectenerg-2763	60	59	equivalently	equivalently	ADV
fuelectenerg-2763	60	60			X
fuelectenerg-2763	60	61	define	define	VERB
fuelectenerg-2763	60	62	d	d	PROPN
fuelectenerg-2763	60	63	as	as	ADP
fuelectenerg-2763	60	64	the	the	DET
fuelectenerg-2763	60	65	describing	describing	NOUN
fuelectenerg-2763	60	66	degree	degree	NOUN
fuelectenerg-2763	60	67	of	of	ADP
fuelectenerg-2763	60	68	the	the	DET
fuelectenerg-2763	60	69	multivariate	multivariate	NOUN
fuelectenerg-2763	60	70	equations	equation	NOUN
fuelectenerg-2763	60	71			PART
fuelectenerg-2763	60	72	define	define	VERB
fuelectenerg-2763	60	73	t	t	PROPN
fuelectenerg-2763	60	74	as	as	ADP
fuelectenerg-2763	60	75	the	the	DET
fuelectenerg-2763	60	76	number	number	NOUN
fuelectenerg-2763	60	77	of	of	ADP
fuelectenerg-2763	60	78	monomials	monomial	NOUN
fuelectenerg-2763	60	79	of	of	ADP
fuelectenerg-2763	60	80	degree	degree	NOUN
fuelectenerg-2763	60	81	≤	≤	NUM
fuelectenerg-2763	60	82	d	d	NOUN
fuelectenerg-2763	60	83	and	and	CCONJ
fuelectenerg-2763	60	84	t	t	PROPN
fuelectenerg-2763	60	85	can	can	AUX
fuelectenerg-2763	60	86	be	be	AUX
fuelectenerg-2763	60	87	calculated	calculate	VERB
fuelectenerg-2763	60	88	as	as	ADP
fuelectenerg-2763	60	89	:	:	PUNCT
fuelectenerg-2763	60	90	(	(	PUNCT
fuelectenerg-2763	60	91	1	1	X
fuelectenerg-2763	60	92	)	)	PUNCT
fuelectenerg-2763	60	93	the	the	DET
fuelectenerg-2763	60	94	estimated	estimate	VERB
fuelectenerg-2763	60	95	complexity	complexity	NOUN
fuelectenerg-2763	60	96	can	can	AUX
fuelectenerg-2763	60	97	be	be	AUX
fuelectenerg-2763	60	98	calculated	calculate	VERB
fuelectenerg-2763	60	99	by	by	ADP
fuelectenerg-2763	60	100	multiplying	multiply	VERB
fuelectenerg-2763	60	101	t	t	PROPN
fuelectenerg-2763	60	102	with	with	ADP
fuelectenerg-2763	60	103	the	the	DET
fuelectenerg-2763	60	104	number	number	NOUN
fuelectenerg-2763	60	105	of	of	ADP
fuelectenerg-2763	60	106	operations	operation	NOUN
fuelectenerg-2763	60	107	and	and	CCONJ
fuelectenerg-2763	60	108	the	the	DET
fuelectenerg-2763	60	109	cycle	cycle	NOUN
fuelectenerg-2763	60	110	time	time	NOUN
fuelectenerg-2763	60	111	required	require	VERB
fuelectenerg-2763	60	112	for	for	ADP
fuelectenerg-2763	60	113	each	each	DET
fuelectenerg-2763	60	114	operation	operation	NOUN
fuelectenerg-2763	60	115	.	.	PUNCT
fuelectenerg-2763	61	1	since	since	SCONJ
fuelectenerg-2763	61	2	these	these	DET
fuelectenerg-2763	61	3	parameters	parameter	NOUN
fuelectenerg-2763	61	4	can	can	AUX
fuelectenerg-2763	61	5	be	be	AUX
fuelectenerg-2763	61	6	algorithm	algorithm	NOUN
fuelectenerg-2763	61	7	and	and	CCONJ
fuelectenerg-2763	61	8	platform	platform	NOUN
fuelectenerg-2763	61	9	dependent	dependent	ADJ
fuelectenerg-2763	61	10	,	,	PUNCT
fuelectenerg-2763	61	11	t	t	PROPN
fuelectenerg-2763	61	12	itself	itself	PRON
fuelectenerg-2763	61	13	can	can	AUX
fuelectenerg-2763	61	14	be	be	AUX
fuelectenerg-2763	61	15	used	use	VERB
fuelectenerg-2763	61	16	to	to	PART
fuelectenerg-2763	61	17	provide	provide	VERB
fuelectenerg-2763	61	18	estimation	estimation	NOUN
fuelectenerg-2763	61	19	.	.	PUNCT
fuelectenerg-2763	62	1	at	at	ADP
fuelectenerg-2763	62	2	the	the	DET
fuelectenerg-2763	62	3	same	same	ADJ
fuelectenerg-2763	62	4	time	time	NOUN
fuelectenerg-2763	62	5	,	,	PUNCT
fuelectenerg-2763	62	6	if	if	SCONJ
fuelectenerg-2763	62	7	conditional	conditional	ADJ
fuelectenerg-2763	62	8	properties	property	NOUN
fuelectenerg-2763	62	9	are	be	AUX
fuelectenerg-2763	62	10	used	use	VERB
fuelectenerg-2763	62	11	to	to	PART
fuelectenerg-2763	62	12	reduce	reduce	VERB
fuelectenerg-2763	62	13	the	the	DET
fuelectenerg-2763	62	14	algebraic	algebraic	ADJ
fuelectenerg-2763	62	15	degree	degree	NOUN
fuelectenerg-2763	62	16	of	of	ADP
fuelectenerg-2763	62	17	the	the	DET
fuelectenerg-2763	62	18	set	set	NOUN
fuelectenerg-2763	62	19	of	of	ADP
fuelectenerg-2763	62	20	equations	equation	NOUN
fuelectenerg-2763	62	21	,	,	PUNCT
fuelectenerg-2763	62	22	the	the	DET
fuelectenerg-2763	62	23	complexity	complexity	NOUN
fuelectenerg-2763	62	24	increases	increase	VERB
fuelectenerg-2763	62	25	by	by	ADP
fuelectenerg-2763	62	26	attaching	attach	VERB
fuelectenerg-2763	62	27	the	the	DET
fuelectenerg-2763	62	28	probability	probability	NOUN
fuelectenerg-2763	62	29	of	of	ADP
fuelectenerg-2763	62	30	the	the	DET
fuelectenerg-2763	62	31	conditional	conditional	ADJ
fuelectenerg-2763	62	32	properties	property	NOUN
fuelectenerg-2763	62	33	happening	happen	VERB
fuelectenerg-2763	62	34	to	to	ADP
fuelectenerg-2763	62	35	t.	t.	PROPN
fuelectenerg-2763	62	36	the	the	DET
fuelectenerg-2763	62	37	complexity	complexity	NOUN
fuelectenerg-2763	62	38	of	of	ADP
fuelectenerg-2763	62	39	algebraic	algebraic	ADJ
fuelectenerg-2763	62	40	attack	attack	NOUN
fuelectenerg-2763	62	41	on	on	ADP
fuelectenerg-2763	62	42	a	a	DET
fuelectenerg-2763	62	43	generic	generic	ADJ
fuelectenerg-2763	62	44	block	block	NOUN
fuelectenerg-2763	62	45	cipher	cipher	ADJ
fuelectenerg-2763	62	46	is	be	AUX
fuelectenerg-2763	62	47	slightly	slightly	ADV
fuelectenerg-2763	62	48	different	different	ADJ
fuelectenerg-2763	62	49	.	.	PUNCT
fuelectenerg-2763	63	1	the	the	DET
fuelectenerg-2763	63	2	complexity	complexity	NOUN
fuelectenerg-2763	63	3	is	be	AUX
fuelectenerg-2763	63	4	contributed	contribute	VERB
fuelectenerg-2763	63	5	mainly	mainly	ADV
fuelectenerg-2763	63	6	from	from	ADP
fuelectenerg-2763	63	7	the	the	DET
fuelectenerg-2763	63	8	non	non	ADJ
fuelectenerg-2763	63	9	-	-	ADJ
fuelectenerg-2763	63	10	linear	linear	ADJ
fuelectenerg-2763	63	11	component	component	NOUN
fuelectenerg-2763	63	12	in	in	ADP
fuelectenerg-2763	63	13	a	a	DET
fuelectenerg-2763	63	14	block	block	NOUN
fuelectenerg-2763	63	15	cipher	cipher	ADJ
fuelectenerg-2763	63	16	,	,	PUNCT
fuelectenerg-2763	63	17	which	which	PRON
fuelectenerg-2763	63	18	is	be	AUX
fuelectenerg-2763	63	19	typically	typically	ADV
fuelectenerg-2763	63	20	an	an	DET
fuelectenerg-2763	63	21	s	s	NOUN
fuelectenerg-2763	63	22	-	-	NOUN
fuelectenerg-2763	63	23	box	box	NOUN
fuelectenerg-2763	63	24	.	.	PUNCT
fuelectenerg-2763	64	1	a	a	DET
fuelectenerg-2763	64	2	typical	typical	ADJ
fuelectenerg-2763	64	3	s	s	NOUN
fuelectenerg-2763	64	4	-	-	PUNCT
fuelectenerg-2763	64	5	box	box	NOUN
fuelectenerg-2763	64	6	transforms	transform	VERB
fuelectenerg-2763	64	7	its	its	PRON
fuelectenerg-2763	64	8	n	n	NUM
fuelectenerg-2763	64	9	-	-	PUNCT
fuelectenerg-2763	64	10	bit	bit	NOUN
fuelectenerg-2763	64	11	input	input	NOUN
fuelectenerg-2763	64	12	variables	variable	NOUN
fuelectenerg-2763	64	13	to	to	ADP
fuelectenerg-2763	64	14	m	m	ADJ
fuelectenerg-2763	64	15	-	-	PUNCT
fuelectenerg-2763	64	16	bit	bit	NOUN
fuelectenerg-2763	64	17	output	output	NOUN
fuelectenerg-2763	64	18	variables	variable	NOUN
fuelectenerg-2763	64	19	,	,	PUNCT
fuelectenerg-2763	64	20	using	use	VERB
fuelectenerg-2763	64	21	a	a	DET
fuelectenerg-2763	64	22	vectorial	vectorial	ADJ
fuelectenerg-2763	64	23	boolean	boolean	ADJ
fuelectenerg-2763	64	24	function	function	NOUN
fuelectenerg-2763	64	25	.	.	PUNCT
fuelectenerg-2763	65	1	using	use	VERB
fuelectenerg-2763	65	2	the	the	DET
fuelectenerg-2763	65	3	definitions	definition	NOUN
fuelectenerg-2763	65	4	above	above	ADV
fuelectenerg-2763	65	5	,	,	PUNCT
fuelectenerg-2763	65	6	the	the	DET
fuelectenerg-2763	65	7	number	number	NOUN
fuelectenerg-2763	65	8	of	of	ADP
fuelectenerg-2763	65	9	monomials	monomial	NOUN
fuelectenerg-2763	65	10	,	,	PUNCT
fuelectenerg-2763	65	11	t	t	PROPN
fuelectenerg-2763	65	12	,	,	PUNCT
fuelectenerg-2763	65	13	can	can	AUX
fuelectenerg-2763	65	14	be	be	AUX
fuelectenerg-2763	65	15	calculated	calculate	VERB
fuelectenerg-2763	65	16	as	as	ADP
fuelectenerg-2763	65	17	:	:	PUNCT
fuelectenerg-2763	65	18	462	462	NUM
fuelectenerg-2763	65	19	p.	p.	NOUN
fuelectenerg-2763	65	20	siddavaatam	siddavaatam	NOUN
fuelectenerg-2763	65	21	,	,	PUNCT
fuelectenerg-2763	65	22	r.	r.	X
fuelectenerg-2763	65	23	sedaghat	sedaghat	PROPN
fuelectenerg-2763	65	24	(	(	PUNCT
fuelectenerg-2763	65	25	2	2	X
fuelectenerg-2763	65	26	)	)	PUNCT
fuelectenerg-2763	65	27	the	the	DET
fuelectenerg-2763	65	28	number	number	NOUN
fuelectenerg-2763	65	29	of	of	ADP
fuelectenerg-2763	65	30	equations	equation	NOUN
fuelectenerg-2763	65	31	,	,	PUNCT
fuelectenerg-2763	65	32	r	r	NOUN
fuelectenerg-2763	65	33	,	,	PUNCT
fuelectenerg-2763	65	34	is	be	AUX
fuelectenerg-2763	65	35	determined	determine	VERB
fuelectenerg-2763	65	36	by	by	ADP
fuelectenerg-2763	65	37	forming	form	VERB
fuelectenerg-2763	65	38	a	a	DET
fuelectenerg-2763	65	39	matrix	matrix	NOUN
fuelectenerg-2763	65	40	m	m	NOUN
fuelectenerg-2763	65	41	of	of	ADP
fuelectenerg-2763	65	42	size	size	NOUN
fuelectenerg-2763	65	43	2	2	NUM
fuelectenerg-2763	65	44	n	n	NOUN
fuelectenerg-2763	65	45	t.	t.	NOUN
fuelectenerg-2763	65	46	this	this	DET
fuelectenerg-2763	65	47	r	r	NOUN
fuelectenerg-2763	65	48	is	be	AUX
fuelectenerg-2763	65	49	calculated	calculate	VERB
fuelectenerg-2763	65	50	as	as	SCONJ
fuelectenerg-2763	65	51	a	a	DET
fuelectenerg-2763	65	52	difference	difference	NOUN
fuelectenerg-2763	65	53	given	give	VERB
fuelectenerg-2763	65	54	by	by	ADP
fuelectenerg-2763	65	55	:	:	PUNCT
fuelectenerg-2763	65	56	(	(	PUNCT
fuelectenerg-2763	65	57	3	3	X
fuelectenerg-2763	65	58	)	)	PUNCT
fuelectenerg-2763	65	59	thereby	thereby	ADV
fuelectenerg-2763	65	60	the	the	DET
fuelectenerg-2763	65	61	complexity	complexity	NOUN
fuelectenerg-2763	65	62	of	of	ADP
fuelectenerg-2763	65	63	solving	solve	VERB
fuelectenerg-2763	65	64	this	this	DET
fuelectenerg-2763	65	65	system	system	NOUN
fuelectenerg-2763	65	66	of	of	ADP
fuelectenerg-2763	65	67	equations	equation	NOUN
fuelectenerg-2763	65	68	can	can	AUX
fuelectenerg-2763	65	69	be	be	AUX
fuelectenerg-2763	65	70	estimated	estimate	VERB
fuelectenerg-2763	65	71	by	by	ADP
fuelectenerg-2763	65	72	:	:	PUNCT
fuelectenerg-2763	65	73	(	(	PUNCT
fuelectenerg-2763	65	74	4	4	NUM
fuelectenerg-2763	65	75	)	)	PUNCT
fuelectenerg-2763	65	76	from	from	ADP
fuelectenerg-2763	65	77	(	(	PUNCT
fuelectenerg-2763	65	78	4	4	NUM
fuelectenerg-2763	65	79	)	)	PUNCT
fuelectenerg-2763	65	80	,	,	PUNCT
fuelectenerg-2763	65	81	the	the	DET
fuelectenerg-2763	65	82	complexity	complexity	NOUN
fuelectenerg-2763	65	83	increases	increase	VERB
fuelectenerg-2763	65	84	when	when	SCONJ
fuelectenerg-2763	65	85	the	the	DET
fuelectenerg-2763	65	86	number	number	NOUN
fuelectenerg-2763	65	87	of	of	ADP
fuelectenerg-2763	65	88	monomials	monomial	NOUN
fuelectenerg-2763	65	89	increases	increase	NOUN
fuelectenerg-2763	65	90	.	.	PUNCT
fuelectenerg-2763	66	1	the	the	DET
fuelectenerg-2763	66	2	number	number	NOUN
fuelectenerg-2763	66	3	of	of	ADP
fuelectenerg-2763	66	4	monomials	monomial	NOUN
fuelectenerg-2763	66	5	increases	increase	NOUN
fuelectenerg-2763	66	6	when	when	SCONJ
fuelectenerg-2763	66	7	the	the	DET
fuelectenerg-2763	66	8	algebraic	algebraic	ADJ
fuelectenerg-2763	66	9	degree	degree	NOUN
fuelectenerg-2763	66	10	of	of	ADP
fuelectenerg-2763	66	11	the	the	DET
fuelectenerg-2763	66	12	set	set	NOUN
fuelectenerg-2763	66	13	of	of	ADP
fuelectenerg-2763	66	14	equations	equation	NOUN
fuelectenerg-2763	66	15	increases	increase	VERB
fuelectenerg-2763	66	16	in	in	ADP
fuelectenerg-2763	66	17	(	(	PUNCT
fuelectenerg-2763	66	18	1	1	NUM
fuelectenerg-2763	66	19	)	)	PUNCT
fuelectenerg-2763	66	20	and	and	CCONJ
fuelectenerg-2763	66	21	(	(	PUNCT
fuelectenerg-2763	66	22	2	2	NUM
fuelectenerg-2763	66	23	)	)	PUNCT
fuelectenerg-2763	66	24	.	.	PUNCT
fuelectenerg-2763	67	1	2.2	2.2	NUM
fuelectenerg-2763	67	2	.	.	PUNCT
fuelectenerg-2763	68	1	addition	addition	NOUN
fuelectenerg-2763	68	2	modulo	modulo	NOUN
fuelectenerg-2763	68	3	when	when	SCONJ
fuelectenerg-2763	68	4	viewing	view	VERB
fuelectenerg-2763	68	5	modulo	modulo	NOUN
fuelectenerg-2763	68	6	addition	addition	NOUN
fuelectenerg-2763	68	7	in	in	ADP
fuelectenerg-2763	68	8	the	the	DET
fuelectenerg-2763	68	9	eyes	eye	NOUN
fuelectenerg-2763	68	10	of	of	ADP
fuelectenerg-2763	68	11	algebraic	algebraic	ADJ
fuelectenerg-2763	68	12	attack	attack	NOUN
fuelectenerg-2763	68	13	,	,	PUNCT
fuelectenerg-2763	68	14	a	a	DET
fuelectenerg-2763	68	15	set	set	NOUN
fuelectenerg-2763	68	16	of	of	ADP
fuelectenerg-2763	68	17	equations	equation	NOUN
fuelectenerg-2763	68	18	describing	describe	VERB
fuelectenerg-2763	68	19	the	the	DET
fuelectenerg-2763	68	20	relationship	relationship	NOUN
fuelectenerg-2763	68	21	between	between	ADP
fuelectenerg-2763	68	22	the	the	DET
fuelectenerg-2763	68	23	input	input	NOUN
fuelectenerg-2763	68	24	and	and	CCONJ
fuelectenerg-2763	68	25	output	output	NOUN
fuelectenerg-2763	68	26	needs	need	VERB
fuelectenerg-2763	68	27	to	to	PART
fuelectenerg-2763	68	28	be	be	AUX
fuelectenerg-2763	68	29	formed	form	VERB
fuelectenerg-2763	68	30	.	.	PUNCT
fuelectenerg-2763	69	1	this	this	PRON
fuelectenerg-2763	69	2	is	be	AUX
fuelectenerg-2763	69	3	outlined	outline	VERB
fuelectenerg-2763	69	4	in	in	ADP
fuelectenerg-2763	69	5	[	[	X
fuelectenerg-2763	69	6	12	12	NUM
fuelectenerg-2763	69	7	]	]	PUNCT
fuelectenerg-2763	69	8	for	for	ADP
fuelectenerg-2763	69	9	the	the	DET
fuelectenerg-2763	69	10	n	n	NUM
fuelectenerg-2763	69	11	-	-	PUNCT
fuelectenerg-2763	69	12	bit	bit	NOUN
fuelectenerg-2763	69	13	modulo	modulo	NOUN
fuelectenerg-2763	69	14	addition	addition	NOUN
fuelectenerg-2763	69	15	of	of	ADP
fuelectenerg-2763	69	16	z	z	NOUN
fuelectenerg-2763	69	17	=	=	PROPN
fuelectenerg-2763	69	18	x	x	SYM
fuelectenerg-2763	69	19	y	y	PROPN
fuelectenerg-2763	69	20	,	,	PUNCT
fuelectenerg-2763	69	21	and	and	CCONJ
fuelectenerg-2763	69	22	shown	show	VERB
fuelectenerg-2763	69	23	in	in	ADP
fuelectenerg-2763	69	24	(	(	PUNCT
fuelectenerg-2763	69	25	5	5	NUM
fuelectenerg-2763	69	26	)	)	PUNCT
fuelectenerg-2763	69	27	.	.	PUNCT
fuelectenerg-2763	70	1	(	(	PUNCT
fuelectenerg-2763	70	2	5	5	X
fuelectenerg-2763	70	3	)	)	PUNCT
fuelectenerg-2763	70	4	the	the	DET
fuelectenerg-2763	70	5	variable	variable	NOUN
fuelectenerg-2763	70	6	c	c	PROPN
fuelectenerg-2763	70	7	is	be	AUX
fuelectenerg-2763	70	8	used	use	VERB
fuelectenerg-2763	70	9	to	to	PART
fuelectenerg-2763	70	10	denote	denote	VERB
fuelectenerg-2763	70	11	the	the	DET
fuelectenerg-2763	70	12	carries	carry	NOUN
fuelectenerg-2763	70	13	.	.	PUNCT
fuelectenerg-2763	71	1	the	the	DET
fuelectenerg-2763	71	2	+	+	NUM
fuelectenerg-2763	71	3	sign	sign	NOUN
fuelectenerg-2763	71	4	in	in	ADP
fuelectenerg-2763	71	5	the	the	DET
fuelectenerg-2763	71	6	equations	equation	NOUN
fuelectenerg-2763	71	7	denotes	denote	VERB
fuelectenerg-2763	71	8	addition	addition	NOUN
fuelectenerg-2763	71	9	in	in	ADP
fuelectenerg-2763	71	10	gf(2	gf(2	PROPN
fuelectenerg-2763	71	11	)	)	PUNCT
fuelectenerg-2763	71	12	,	,	PUNCT
fuelectenerg-2763	71	13	or	or	CCONJ
fuelectenerg-2763	71	14	simply	simply	ADV
fuelectenerg-2763	71	15	the	the	DET
fuelectenerg-2763	71	16	logic	logic	NOUN
fuelectenerg-2763	71	17	xor	xor	PROPN
fuelectenerg-2763	71	18	operation	operation	PROPN
fuelectenerg-2763	71	19	.	.	PUNCT
fuelectenerg-2763	72	1	each	each	PRON
fuelectenerg-2763	72	2	carry	carry	VERB
fuelectenerg-2763	72	3	variable	variable	NOUN
fuelectenerg-2763	72	4	can	can	AUX
fuelectenerg-2763	72	5	be	be	AUX
fuelectenerg-2763	72	6	described	describe	VERB
fuelectenerg-2763	72	7	by	by	ADP
fuelectenerg-2763	72	8	the	the	DET
fuelectenerg-2763	72	9	set	set	NOUN
fuelectenerg-2763	72	10	of	of	ADP
fuelectenerg-2763	72	11	equations	equation	NOUN
fuelectenerg-2763	72	12	given	give	VERB
fuelectenerg-2763	72	13	in	in	ADP
fuelectenerg-2763	72	14	(	(	PUNCT
fuelectenerg-2763	72	15	6	6	NUM
fuelectenerg-2763	72	16	)	)	PUNCT
fuelectenerg-2763	72	17	.	.	PUNCT
fuelectenerg-2763	73	1	it	it	PRON
fuelectenerg-2763	73	2	can	can	AUX
fuelectenerg-2763	73	3	be	be	AUX
fuelectenerg-2763	73	4	seen	see	VERB
fuelectenerg-2763	73	5	from	from	ADP
fuelectenerg-2763	73	6	combining	combine	VERB
fuelectenerg-2763	73	7	(	(	PUNCT
fuelectenerg-2763	73	8	5	5	NUM
fuelectenerg-2763	73	9	)	)	PUNCT
fuelectenerg-2763	73	10	and	and	CCONJ
fuelectenerg-2763	73	11	(	(	PUNCT
fuelectenerg-2763	73	12	6	6	NUM
fuelectenerg-2763	73	13	)	)	PUNCT
fuelectenerg-2763	73	14	that	that	SCONJ
fuelectenerg-2763	73	15	the	the	DET
fuelectenerg-2763	73	16	modulo	modulo	ADJ
fuelectenerg-2763	73	17	addition	addition	NOUN
fuelectenerg-2763	73	18	is	be	AUX
fuelectenerg-2763	73	19	partly	partly	ADV
fuelectenerg-2763	73	20	non	non	ADJ
fuelectenerg-2763	73	21	-	-	ADJ
fuelectenerg-2763	73	22	linear	linear	ADJ
fuelectenerg-2763	73	23	because	because	SCONJ
fuelectenerg-2763	73	24	the	the	DET
fuelectenerg-2763	73	25	lsb	lsb	PROPN
fuelectenerg-2763	73	26	of	of	ADP
fuelectenerg-2763	73	27	the	the	DET
fuelectenerg-2763	73	28	output	output	NOUN
fuelectenerg-2763	73	29	is	be	AUX
fuelectenerg-2763	73	30	linear	linear	ADJ
fuelectenerg-2763	73	31	.	.	PUNCT
fuelectenerg-2763	74	1	the	the	DET
fuelectenerg-2763	74	2	algebraic	algebraic	ADJ
fuelectenerg-2763	74	3	degree	degree	NOUN
fuelectenerg-2763	74	4	is	be	AUX
fuelectenerg-2763	74	5	dominated	dominate	VERB
fuelectenerg-2763	74	6	by	by	ADP
fuelectenerg-2763	74	7	the	the	DET
fuelectenerg-2763	74	8	carry	carry	NOUN
fuelectenerg-2763	74	9	terms	term	NOUN
fuelectenerg-2763	74	10	.	.	PUNCT
fuelectenerg-2763	75	1	(	(	PUNCT
fuelectenerg-2763	75	2	6	6	X
fuelectenerg-2763	75	3	)	)	PUNCT
fuelectenerg-2763	75	4	a	a	DET
fuelectenerg-2763	75	5	novel	novel	ADJ
fuelectenerg-2763	75	6	architecture	architecture	NOUN
fuelectenerg-2763	75	7	with	with	ADP
fuelectenerg-2763	75	8	scalable	scalable	ADJ
fuelectenerg-2763	75	9	security	security	NOUN
fuelectenerg-2763	75	10	having	have	VERB
fuelectenerg-2763	75	11	expandable	expandable	ADJ
fuelectenerg-2763	75	12	computational	computational	ADJ
fuelectenerg-2763	75	13	complexity	complexity	NOUN
fuelectenerg-2763	75	14	463	463	NUM
fuelectenerg-2763	75	15	from	from	ADP
fuelectenerg-2763	75	16	(	(	PUNCT
fuelectenerg-2763	75	17	6	6	NUM
fuelectenerg-2763	75	18	)	)	PUNCT
fuelectenerg-2763	75	19	,	,	PUNCT
fuelectenerg-2763	75	20	the	the	DET
fuelectenerg-2763	75	21	degree	degree	NOUN
fuelectenerg-2763	75	22	increases	increase	VERB
fuelectenerg-2763	75	23	linearly	linearly	ADV
fuelectenerg-2763	75	24	with	with	ADP
fuelectenerg-2763	75	25	the	the	DET
fuelectenerg-2763	75	26	carry	carry	NOUN
fuelectenerg-2763	75	27	terms	term	NOUN
fuelectenerg-2763	75	28	.	.	PUNCT
fuelectenerg-2763	76	1	this	this	PRON
fuelectenerg-2763	76	2	is	be	AUX
fuelectenerg-2763	76	3	because	because	SCONJ
fuelectenerg-2763	76	4	the	the	DET
fuelectenerg-2763	76	5	more	more	ADV
fuelectenerg-2763	76	6	significantly	significantly	ADV
fuelectenerg-2763	76	7	positioned	position	VERB
fuelectenerg-2763	76	8	carry	carry	VERB
fuelectenerg-2763	76	9	terms	term	NOUN
fuelectenerg-2763	76	10	not	not	PART
fuelectenerg-2763	76	11	only	only	ADV
fuelectenerg-2763	76	12	depend	depend	VERB
fuelectenerg-2763	76	13	on	on	ADP
fuelectenerg-2763	76	14	their	their	PRON
fuelectenerg-2763	76	15	corresponding	corresponding	ADJ
fuelectenerg-2763	76	16	input	input	NOUN
fuelectenerg-2763	76	17	variables	variable	NOUN
fuelectenerg-2763	76	18	,	,	PUNCT
fuelectenerg-2763	76	19	which	which	PRON
fuelectenerg-2763	76	20	have	have	VERB
fuelectenerg-2763	76	21	a	a	DET
fuelectenerg-2763	76	22	degree	degree	NOUN
fuelectenerg-2763	76	23	1	1	NUM
fuelectenerg-2763	76	24	,	,	PUNCT
fuelectenerg-2763	76	25	but	but	CCONJ
fuelectenerg-2763	76	26	also	also	ADV
fuelectenerg-2763	76	27	the	the	DET
fuelectenerg-2763	76	28	previous	previous	ADJ
fuelectenerg-2763	76	29	carry	carry	NOUN
fuelectenerg-2763	76	30	terms	term	NOUN
fuelectenerg-2763	76	31	.	.	PUNCT
fuelectenerg-2763	77	1	as	as	SCONJ
fuelectenerg-2763	77	2	c0	c0	PROPN
fuelectenerg-2763	77	3	is	be	AUX
fuelectenerg-2763	77	4	generated	generate	VERB
fuelectenerg-2763	77	5	by	by	ADP
fuelectenerg-2763	77	6	x0	x0	PROPN
fuelectenerg-2763	77	7	and	and	CCONJ
fuelectenerg-2763	77	8	y0	y0	PROPN
fuelectenerg-2763	77	9	,	,	PUNCT
fuelectenerg-2763	77	10	the	the	DET
fuelectenerg-2763	77	11	degree	degree	NOUN
fuelectenerg-2763	77	12	of	of	ADP
fuelectenerg-2763	77	13	z1	z1	NOUN
fuelectenerg-2763	77	14	becomes	become	VERB
fuelectenerg-2763	77	15	2	2	NUM
fuelectenerg-2763	77	16	.	.	PUNCT
fuelectenerg-2763	77	17	similarly	similarly	ADV
fuelectenerg-2763	77	18	,	,	PUNCT
fuelectenerg-2763	77	19	c1	c1	PROPN
fuelectenerg-2763	77	20	is	be	AUX
fuelectenerg-2763	77	21	generated	generate	VERB
fuelectenerg-2763	77	22	by	by	ADP
fuelectenerg-2763	77	23	x1	x1	PROPN
fuelectenerg-2763	77	24	and	and	CCONJ
fuelectenerg-2763	77	25	y1	y1	PROPN
fuelectenerg-2763	77	26	,	,	PUNCT
fuelectenerg-2763	77	27	and	and	CCONJ
fuelectenerg-2763	77	28	the	the	DET
fuelectenerg-2763	77	29	degree	degree	NOUN
fuelectenerg-2763	77	30	of	of	ADP
fuelectenerg-2763	77	31	z2	z2	PROPN
fuelectenerg-2763	77	32	becomes	become	VERB
fuelectenerg-2763	77	33	3	3	NUM
fuelectenerg-2763	77	34	.	.	PUNCT
fuelectenerg-2763	78	1	in	in	ADP
fuelectenerg-2763	78	2	fact	fact	NOUN
fuelectenerg-2763	78	3	,	,	PUNCT
fuelectenerg-2763	78	4	for	for	ADP
fuelectenerg-2763	78	5	an	an	DET
fuelectenerg-2763	78	6	n	n	NUM
fuelectenerg-2763	78	7	-	-	PUNCT
fuelectenerg-2763	78	8	bit	bit	NOUN
fuelectenerg-2763	78	9	output	output	NOUN
fuelectenerg-2763	78	10	,	,	PUNCT
fuelectenerg-2763	78	11	the	the	DET
fuelectenerg-2763	78	12	algebraic	algebraic	ADJ
fuelectenerg-2763	78	13	degree	degree	NOUN
fuelectenerg-2763	78	14	for	for	ADP
fuelectenerg-2763	78	15	each	each	DET
fuelectenerg-2763	78	16	output	output	NOUN
fuelectenerg-2763	78	17	bit	bit	NOUN
fuelectenerg-2763	78	18	is	be	AUX
fuelectenerg-2763	78	19	:	:	PUNCT
fuelectenerg-2763	78	20	(	(	PUNCT
fuelectenerg-2763	78	21	7	7	X
fuelectenerg-2763	78	22	)	)	PUNCT
fuelectenerg-2763	78	23	as	as	SCONJ
fuelectenerg-2763	78	24	mentioned	mention	VERB
fuelectenerg-2763	78	25	before	before	ADV
fuelectenerg-2763	78	26	,	,	PUNCT
fuelectenerg-2763	78	27	the	the	DET
fuelectenerg-2763	78	28	complexity	complexity	NOUN
fuelectenerg-2763	78	29	of	of	ADP
fuelectenerg-2763	78	30	solving	solve	VERB
fuelectenerg-2763	78	31	the	the	DET
fuelectenerg-2763	78	32	equations	equation	NOUN
fuelectenerg-2763	78	33	increases	increase	VERB
fuelectenerg-2763	78	34	with	with	ADP
fuelectenerg-2763	78	35	the	the	DET
fuelectenerg-2763	78	36	increment	increment	NOUN
fuelectenerg-2763	78	37	of	of	ADP
fuelectenerg-2763	78	38	algebraic	algebraic	ADJ
fuelectenerg-2763	78	39	degree	degree	NOUN
fuelectenerg-2763	78	40	.	.	PUNCT
fuelectenerg-2763	79	1	in	in	ADP
fuelectenerg-2763	79	2	[	[	X
fuelectenerg-2763	79	3	11	11	NUM
fuelectenerg-2763	79	4	]	]	PUNCT
fuelectenerg-2763	79	5	,	,	PUNCT
fuelectenerg-2763	79	6	the	the	DET
fuelectenerg-2763	79	7	author	author	NOUN
fuelectenerg-2763	79	8	has	have	AUX
fuelectenerg-2763	79	9	devised	devise	VERB
fuelectenerg-2763	79	10	a	a	DET
fuelectenerg-2763	79	11	set	set	NOUN
fuelectenerg-2763	79	12	of	of	ADP
fuelectenerg-2763	79	13	equations	equation	NOUN
fuelectenerg-2763	79	14	that	that	PRON
fuelectenerg-2763	79	15	describes	describe	VERB
fuelectenerg-2763	79	16	modulo	modulo	NOUN
fuelectenerg-2763	79	17	addition	addition	NOUN
fuelectenerg-2763	79	18	but	but	CCONJ
fuelectenerg-2763	79	19	limits	limit	VERB
fuelectenerg-2763	79	20	the	the	DET
fuelectenerg-2763	79	21	algebraic	algebraic	ADJ
fuelectenerg-2763	79	22	degree	degree	NOUN
fuelectenerg-2763	79	23	to	to	ADP
fuelectenerg-2763	79	24	2	2	NUM
fuelectenerg-2763	79	25	.	.	PUNCT
fuelectenerg-2763	80	1	this	this	PRON
fuelectenerg-2763	80	2	is	be	AUX
fuelectenerg-2763	80	3	shown	show	VERB
fuelectenerg-2763	80	4	in	in	ADP
fuelectenerg-2763	80	5	(	(	PUNCT
fuelectenerg-2763	80	6	8)	8)	NUM
fuelectenerg-2763	80	7	.	.	PUNCT
fuelectenerg-2763	81	1	(	(	PUNCT
fuelectenerg-2763	81	2	8)	8)	NUM
fuelectenerg-2763	81	3	moreover	moreover	ADV
fuelectenerg-2763	81	4	,	,	PUNCT
fuelectenerg-2763	81	5	the	the	DET
fuelectenerg-2763	81	6	author	author	NOUN
fuelectenerg-2763	81	7	is	be	AUX
fuelectenerg-2763	81	8	able	able	ADJ
fuelectenerg-2763	81	9	to	to	PART
fuelectenerg-2763	81	10	create	create	VERB
fuelectenerg-2763	81	11	in	in	ADP
fuelectenerg-2763	81	12	total	total	ADJ
fuelectenerg-2763	81	13	–	–	PUNCT
fuelectenerg-2763	81	14	independent	independent	ADJ
fuelectenerg-2763	81	15	equations	equation	NOUN
fuelectenerg-2763	81	16	,	,	PUNCT
fuelectenerg-2763	81	17	instead	instead	ADV
fuelectenerg-2763	81	18	of	of	ADP
fuelectenerg-2763	81	19	the	the	DET
fuelectenerg-2763	81	20	original	original	ADJ
fuelectenerg-2763	81	21	n	n	PRON
fuelectenerg-2763	81	22	equations	equation	NOUN
fuelectenerg-2763	81	23	.	.	PUNCT
fuelectenerg-2763	82	1	this	this	PRON
fuelectenerg-2763	82	2	effectively	effectively	ADV
fuelectenerg-2763	82	3	reduces	reduce	VERB
fuelectenerg-2763	82	4	the	the	DET
fuelectenerg-2763	82	5	complexity	complexity	NOUN
fuelectenerg-2763	82	6	of	of	ADP
fuelectenerg-2763	82	7	algebraic	algebraic	ADJ
fuelectenerg-2763	82	8	attack	attack	NOUN
fuelectenerg-2763	82	9	on	on	ADP
fuelectenerg-2763	82	10	modulo	modulo	ADJ
fuelectenerg-2763	82	11	addition	addition	NOUN
fuelectenerg-2763	82	12	even	even	ADV
fuelectenerg-2763	82	13	before	before	ADP
fuelectenerg-2763	82	14	the	the	DET
fuelectenerg-2763	82	15	deployment	deployment	NOUN
fuelectenerg-2763	82	16	of	of	ADP
fuelectenerg-2763	82	17	conditional	conditional	ADJ
fuelectenerg-2763	82	18	properties	property	NOUN
fuelectenerg-2763	82	19	.	.	PUNCT
fuelectenerg-2763	83	1	2.3	2.3	NUM
fuelectenerg-2763	83	2	conditional	conditional	ADJ
fuelectenerg-2763	83	3	properties	property	NOUN
fuelectenerg-2763	83	4	of	of	ADP
fuelectenerg-2763	83	5	modulo	modulo	NOUN
fuelectenerg-2763	83	6	addition	addition	NOUN
fuelectenerg-2763	83	7	conditional	conditional	ADJ
fuelectenerg-2763	83	8	properties	property	NOUN
fuelectenerg-2763	83	9	have	have	AUX
fuelectenerg-2763	83	10	been	be	AUX
fuelectenerg-2763	83	11	studied	study	VERB
fuelectenerg-2763	83	12	in	in	ADP
fuelectenerg-2763	83	13	[	[	X
fuelectenerg-2763	83	14	25	25	NUM
fuelectenerg-2763	83	15	]	]	PUNCT
fuelectenerg-2763	83	16	and	and	CCONJ
fuelectenerg-2763	83	17	the	the	DET
fuelectenerg-2763	83	18	idea	idea	NOUN
fuelectenerg-2763	83	19	can	can	AUX
fuelectenerg-2763	83	20	be	be	AUX
fuelectenerg-2763	83	21	applied	apply	VERB
fuelectenerg-2763	83	22	to	to	ADP
fuelectenerg-2763	83	23	modulo	modulo	ADJ
fuelectenerg-2763	83	24	addition	addition	NOUN
fuelectenerg-2763	83	25	in	in	ADP
fuelectenerg-2763	83	26	a	a	DET
fuelectenerg-2763	83	27	similar	similar	ADJ
fuelectenerg-2763	83	28	fashion	fashion	NOUN
fuelectenerg-2763	83	29	.	.	PUNCT
fuelectenerg-2763	84	1	the	the	DET
fuelectenerg-2763	84	2	conditional	conditional	ADJ
fuelectenerg-2763	84	3	properties	property	NOUN
fuelectenerg-2763	84	4	of	of	ADP
fuelectenerg-2763	84	5	modulo	modulo	NOUN
fuelectenerg-2763	84	6	addition	addition	NOUN
fuelectenerg-2763	84	7	are	be	AUX
fuelectenerg-2763	84	8	first	first	ADV
fuelectenerg-2763	84	9	explored	explore	VERB
fuelectenerg-2763	84	10	in	in	ADP
fuelectenerg-2763	84	11	[	[	X
fuelectenerg-2763	84	12	26	26	NUM
fuelectenerg-2763	84	13	]	]	PUNCT
fuelectenerg-2763	84	14	and	and	CCONJ
fuelectenerg-2763	84	15	then	then	ADV
fuelectenerg-2763	84	16	expanded	expand	VERB
fuelectenerg-2763	84	17	in	in	ADP
fuelectenerg-2763	84	18	[	[	X
fuelectenerg-2763	84	19	20	20	NUM
fuelectenerg-2763	84	20	]	]	PUNCT
fuelectenerg-2763	84	21	.	.	PUNCT
fuelectenerg-2763	85	1	the	the	DET
fuelectenerg-2763	85	2	goal	goal	NOUN
fuelectenerg-2763	85	3	of	of	ADP
fuelectenerg-2763	85	4	using	use	VERB
fuelectenerg-2763	85	5	conditional	conditional	ADJ
fuelectenerg-2763	85	6	equations	equation	NOUN
fuelectenerg-2763	85	7	in	in	ADP
fuelectenerg-2763	85	8	modulo	modulo	ADJ
fuelectenerg-2763	85	9	addition	addition	NOUN
fuelectenerg-2763	85	10	is	be	AUX
fuelectenerg-2763	85	11	to	to	PART
fuelectenerg-2763	85	12	lower	lower	VERB
fuelectenerg-2763	85	13	the	the	DET
fuelectenerg-2763	85	14	algebraic	algebraic	ADJ
fuelectenerg-2763	85	15	degree	degree	NOUN
fuelectenerg-2763	85	16	of	of	ADP
fuelectenerg-2763	85	17	the	the	DET
fuelectenerg-2763	85	18	equations	equation	NOUN
fuelectenerg-2763	85	19	or	or	CCONJ
fuelectenerg-2763	85	20	to	to	PART
fuelectenerg-2763	85	21	create	create	VERB
fuelectenerg-2763	85	22	more	more	ADV
fuelectenerg-2763	85	23	independent	independent	ADJ
fuelectenerg-2763	85	24	equations	equation	NOUN
fuelectenerg-2763	85	25	with	with	ADP
fuelectenerg-2763	85	26	lower	low	ADJ
fuelectenerg-2763	85	27	degree	degree	NOUN
fuelectenerg-2763	85	28	.	.	PUNCT
fuelectenerg-2763	86	1	in	in	ADP
fuelectenerg-2763	86	2	general	general	ADJ
fuelectenerg-2763	86	3	,	,	PUNCT
fuelectenerg-2763	86	4	the	the	DET
fuelectenerg-2763	86	5	occurrence	occurrence	NOUN
fuelectenerg-2763	86	6	of	of	ADP
fuelectenerg-2763	86	7	these	these	DET
fuelectenerg-2763	86	8	conditions	condition	NOUN
fuelectenerg-2763	86	9	is	be	AUX
fuelectenerg-2763	86	10	based	base	VERB
fuelectenerg-2763	86	11	on	on	ADP
fuelectenerg-2763	86	12	the	the	DET
fuelectenerg-2763	86	13	manipulation	manipulation	NOUN
fuelectenerg-2763	86	14	of	of	ADP
fuelectenerg-2763	86	15	input	input	NOUN
fuelectenerg-2763	86	16	bits	bit	NOUN
fuelectenerg-2763	86	17	and	and	CCONJ
fuelectenerg-2763	86	18	carries	carry	VERB
fuelectenerg-2763	86	19	bits	bit	NOUN
fuelectenerg-2763	86	20	.	.	PUNCT
fuelectenerg-2763	87	1	as	as	SCONJ
fuelectenerg-2763	87	2	mentioned	mention	VERB
fuelectenerg-2763	87	3	before	before	ADV
fuelectenerg-2763	87	4	,	,	PUNCT
fuelectenerg-2763	87	5	the	the	DET
fuelectenerg-2763	87	6	cost	cost	NOUN
fuelectenerg-2763	87	7	of	of	ADP
fuelectenerg-2763	87	8	these	these	DET
fuelectenerg-2763	87	9	conditions	condition	NOUN
fuelectenerg-2763	87	10	is	be	AUX
fuelectenerg-2763	87	11	the	the	DET
fuelectenerg-2763	87	12	probability	probability	NOUN
fuelectenerg-2763	87	13	.	.	PUNCT
fuelectenerg-2763	88	1	for	for	ADP
fuelectenerg-2763	88	2	input	input	NOUN
fuelectenerg-2763	88	3	bits	bit	NOUN
fuelectenerg-2763	88	4	,	,	PUNCT
fuelectenerg-2763	88	5	the	the	DET
fuelectenerg-2763	88	6	probability	probability	NOUN
fuelectenerg-2763	88	7	is	be	AUX
fuelectenerg-2763	88	8	assumed	assume	VERB
fuelectenerg-2763	88	9	to	to	PART
fuelectenerg-2763	88	10	be	be	AUX
fuelectenerg-2763	88	11	uniform	uniform	ADJ
fuelectenerg-2763	88	12	,	,	PUNCT
fuelectenerg-2763	88	13	or	or	CCONJ
fuelectenerg-2763	88	14	½.	½.	VERB
fuelectenerg-2763	88	15	for	for	ADP
fuelectenerg-2763	88	16	the	the	DET
fuelectenerg-2763	88	17	carry	carry	NOUN
fuelectenerg-2763	88	18	bits	bit	NOUN
fuelectenerg-2763	88	19	,	,	PUNCT
fuelectenerg-2763	88	20	the	the	DET
fuelectenerg-2763	88	21	probability	probability	NOUN
fuelectenerg-2763	88	22	can	can	AUX
fuelectenerg-2763	88	23	be	be	AUX
fuelectenerg-2763	88	24	generalized	generalize	VERB
fuelectenerg-2763	88	25	above	above	ADV
fuelectenerg-2763	88	26	in	in	ADP
fuelectenerg-2763	88	27	(	(	PUNCT
fuelectenerg-2763	88	28	9	9	NUM
fuelectenerg-2763	88	29	)	)	PUNCT
fuelectenerg-2763	88	30	.	.	PUNCT
fuelectenerg-2763	89	1	the	the	DET
fuelectenerg-2763	89	2	probability	probability	NOUN
fuelectenerg-2763	89	3	of	of	ADP
fuelectenerg-2763	89	4	a	a	DET
fuelectenerg-2763	89	5	carry	carry	NOUN
fuelectenerg-2763	89	6	being	be	AUX
fuelectenerg-2763	89	7	1	1	NUM
fuelectenerg-2763	89	8	nears	near	VERB
fuelectenerg-2763	89	9	toward	toward	ADP
fuelectenerg-2763	89	10	½	½	NOUN
fuelectenerg-2763	89	11	as	as	ADP
fuelectenerg-2763	89	12	the	the	DET
fuelectenerg-2763	89	13	number	number	NOUN
fuelectenerg-2763	89	14	of	of	ADP
fuelectenerg-2763	89	15	bits	bit	NOUN
fuelectenerg-2763	89	16	increase	increase	NOUN
fuelectenerg-2763	89	17	.	.	PUNCT
fuelectenerg-2763	90	1	(	(	PUNCT
fuelectenerg-2763	90	2	9	9	X
fuelectenerg-2763	90	3	)	)	SYM
fuelectenerg-2763	90	4	2.3.1	2.3.1	NUM
fuelectenerg-2763	90	5	.	.	PUNCT
fuelectenerg-2763	91	1	modulo	modulo	NOUN
fuelectenerg-2763	91	2	addition	addition	NOUN
fuelectenerg-2763	91	3	with	with	ADP
fuelectenerg-2763	91	4	no	no	PRON
fuelectenerg-2763	91	5	carries	carry	VERB
fuelectenerg-2763	91	6	a	a	DET
fuelectenerg-2763	91	7	modulo	modulo	ADJ
fuelectenerg-2763	91	8	addition	addition	NOUN
fuelectenerg-2763	91	9	that	that	PRON
fuelectenerg-2763	91	10	generates	generate	VERB
fuelectenerg-2763	91	11	no	no	DET
fuelectenerg-2763	91	12	carries	carry	NOUN
fuelectenerg-2763	91	13	will	will	AUX
fuelectenerg-2763	91	14	have	have	VERB
fuelectenerg-2763	91	15	a	a	DET
fuelectenerg-2763	91	16	completely	completely	ADV
fuelectenerg-2763	91	17	linearized	linearize	VERB
fuelectenerg-2763	91	18	equation	equation	NOUN
fuelectenerg-2763	91	19	.	.	PUNCT
fuelectenerg-2763	92	1	in	in	ADP
fuelectenerg-2763	92	2	other	other	ADJ
fuelectenerg-2763	92	3	words	word	NOUN
fuelectenerg-2763	92	4	,	,	PUNCT
fuelectenerg-2763	92	5	the	the	DET
fuelectenerg-2763	92	6	algebraic	algebraic	ADJ
fuelectenerg-2763	92	7	degree	degree	NOUN
fuelectenerg-2763	92	8	of	of	ADP
fuelectenerg-2763	92	9	(	(	PUNCT
fuelectenerg-2763	92	10	5	5	NUM
fuelectenerg-2763	92	11	)	)	PUNCT
fuelectenerg-2763	92	12	will	will	AUX
fuelectenerg-2763	92	13	be	be	AUX
fuelectenerg-2763	92	14	reduced	reduce	VERB
fuelectenerg-2763	92	15	to	to	ADP
fuelectenerg-2763	92	16	1	1	NUM
fuelectenerg-2763	92	17	when	when	SCONJ
fuelectenerg-2763	92	18	all	all	PRON
fuelectenerg-2763	92	19	carries	carry	VERB
fuelectenerg-2763	92	20	are	be	AUX
fuelectenerg-2763	92	21	0	0	NUM
fuelectenerg-2763	92	22	.	.	PUNCT
fuelectenerg-2763	93	1	the	the	DET
fuelectenerg-2763	93	2	probability	probability	NOUN
fuelectenerg-2763	93	3	of	of	ADP
fuelectenerg-2763	93	4	this	this	DET
fuelectenerg-2763	93	5	condition	condition	NOUN
fuelectenerg-2763	93	6	can	can	AUX
fuelectenerg-2763	93	7	be	be	AUX
fuelectenerg-2763	93	8	calculated	calculate	VERB
fuelectenerg-2763	93	9	using	use	VERB
fuelectenerg-2763	93	10	(	(	PUNCT
fuelectenerg-2763	93	11	9	9	NUM
fuelectenerg-2763	93	12	)	)	PUNCT
fuelectenerg-2763	93	13	and	and	CCONJ
fuelectenerg-2763	93	14	can	can	AUX
fuelectenerg-2763	93	15	be	be	AUX
fuelectenerg-2763	93	16	approximated	approximate	VERB
fuelectenerg-2763	93	17	to	to	ADP
fuelectenerg-2763	93	18	.	.	PUNCT
fuelectenerg-2763	94	1	464	464	NUM
fuelectenerg-2763	94	2	p.	p.	NOUN
fuelectenerg-2763	94	3	siddavaatam	siddavaatam	NOUN
fuelectenerg-2763	94	4	,	,	PUNCT
fuelectenerg-2763	94	5	r.	r.	X
fuelectenerg-2763	94	6	sedaghat	sedaghat	ADJ
fuelectenerg-2763	94	7	2.3.2	2.3.2	X
fuelectenerg-2763	94	8	.	.	PUNCT
fuelectenerg-2763	95	1	modulo	modulo	PROPN
fuelectenerg-2763	95	2	addition	addition	NOUN
fuelectenerg-2763	95	3	output	output	NOUN
fuelectenerg-2763	95	4	characteristic	characteristic	ADJ
fuelectenerg-2763	95	5	an	an	DET
fuelectenerg-2763	95	6	output	output	NOUN
fuelectenerg-2763	95	7	characteristic	characteristic	ADJ
fuelectenerg-2763	95	8	that	that	PRON
fuelectenerg-2763	95	9	can	can	AUX
fuelectenerg-2763	95	10	help	help	VERB
fuelectenerg-2763	95	11	linearize	linearize	VERB
fuelectenerg-2763	95	12	the	the	DET
fuelectenerg-2763	95	13	equations	equation	NOUN
fuelectenerg-2763	95	14	is	be	AUX
fuelectenerg-2763	95	15	when	when	SCONJ
fuelectenerg-2763	95	16	the	the	DET
fuelectenerg-2763	95	17	output	output	NOUN
fuelectenerg-2763	95	18	bits	bit	NOUN
fuelectenerg-2763	95	19	of	of	ADP
fuelectenerg-2763	95	20	the	the	DET
fuelectenerg-2763	95	21	addition	addition	NOUN
fuelectenerg-2763	95	22	are	be	AUX
fuelectenerg-2763	95	23	all	all	PRON
fuelectenerg-2763	95	24	1	1	NUM
fuelectenerg-2763	95	25	’s	’s	NOUN
fuelectenerg-2763	95	26	,	,	PUNCT
fuelectenerg-2763	95	27	or	or	CCONJ
fuelectenerg-2763	95	28	that	that	SCONJ
fuelectenerg-2763	95	29	the	the	DET
fuelectenerg-2763	95	30	output	output	NOUN
fuelectenerg-2763	95	31	is	be	AUX
fuelectenerg-2763	95	32	.	.	PUNCT
fuelectenerg-2763	96	1	given	give	VERB
fuelectenerg-2763	96	2	that	that	SCONJ
fuelectenerg-2763	96	3	the	the	DET
fuelectenerg-2763	96	4	carry	carry	VERB
fuelectenerg-2763	96	5	-	-	PUNCT
fuelectenerg-2763	96	6	in	in	NOUN
fuelectenerg-2763	96	7	is	be	AUX
fuelectenerg-2763	96	8	0	0	NUM
fuelectenerg-2763	96	9	,	,	PUNCT
fuelectenerg-2763	96	10	the	the	DET
fuelectenerg-2763	96	11	output	output	NOUN
fuelectenerg-2763	96	12	bits	bit	NOUN
fuelectenerg-2763	96	13	can	can	AUX
fuelectenerg-2763	96	14	be	be	AUX
fuelectenerg-2763	96	15	all	all	PRON
fuelectenerg-2763	96	16	1	1	NUM
fuelectenerg-2763	96	17	’s	’	VERB
fuelectenerg-2763	96	18	only	only	ADV
fuelectenerg-2763	96	19	when	when	SCONJ
fuelectenerg-2763	96	20	the	the	DET
fuelectenerg-2763	96	21	input	input	NOUN
fuelectenerg-2763	96	22	bits	bit	NOUN
fuelectenerg-2763	96	23	are	be	AUX
fuelectenerg-2763	96	24	of	of	ADP
fuelectenerg-2763	96	25	opposite	opposite	ADJ
fuelectenerg-2763	96	26	polarity	polarity	NOUN
fuelectenerg-2763	96	27	.	.	PUNCT
fuelectenerg-2763	97	1	in	in	ADP
fuelectenerg-2763	97	2	other	other	ADJ
fuelectenerg-2763	97	3	words	word	NOUN
fuelectenerg-2763	97	4	,	,	PUNCT
fuelectenerg-2763	97	5	for	for	ADP
fuelectenerg-2763	97	6	each	each	DET
fuelectenerg-2763	97	7	pair	pair	NOUN
fuelectenerg-2763	97	8	of	of	ADP
fuelectenerg-2763	97	9	input	input	NOUN
fuelectenerg-2763	97	10	bits	bit	NOUN
fuelectenerg-2763	97	11	,	,	PUNCT
fuelectenerg-2763	97	12	the	the	DET
fuelectenerg-2763	97	13	two	two	NUM
fuelectenerg-2763	97	14	bits	bit	NOUN
fuelectenerg-2763	97	15	are	be	AUX
fuelectenerg-2763	97	16	either	either	PRON
fuelectenerg-2763	97	17	or	or	CCONJ
fuelectenerg-2763	97	18	.	.	PUNCT
fuelectenerg-2763	98	1	this	this	PRON
fuelectenerg-2763	98	2	is	be	AUX
fuelectenerg-2763	98	3	also	also	ADV
fuelectenerg-2763	98	4	referred	refer	VERB
fuelectenerg-2763	98	5	to	to	ADP
fuelectenerg-2763	98	6	as	as	ADP
fuelectenerg-2763	98	7	propagate	propagate	VERB
fuelectenerg-2763	98	8	[	[	X
fuelectenerg-2763	98	9	6	6	NUM
fuelectenerg-2763	98	10	]	]	PUNCT
fuelectenerg-2763	98	11	,	,	PUNCT
fuelectenerg-2763	98	12	and	and	CCONJ
fuelectenerg-2763	98	13	the	the	DET
fuelectenerg-2763	98	14	probability	probability	NOUN
fuelectenerg-2763	98	15	of	of	ADP
fuelectenerg-2763	98	16	this	this	DET
fuelectenerg-2763	98	17	occurring	occurring	NOUN
fuelectenerg-2763	98	18	is	be	AUX
fuelectenerg-2763	98	19	.	.	PUNCT
fuelectenerg-2763	99	1	the	the	DET
fuelectenerg-2763	99	2	algebraic	algebraic	ADJ
fuelectenerg-2763	99	3	degree	degree	NOUN
fuelectenerg-2763	99	4	of	of	ADP
fuelectenerg-2763	99	5	the	the	DET
fuelectenerg-2763	99	6	equations	equation	NOUN
fuelectenerg-2763	99	7	is	be	AUX
fuelectenerg-2763	99	8	lowered	lower	VERB
fuelectenerg-2763	99	9	to	to	ADP
fuelectenerg-2763	99	10	1	1	NUM
fuelectenerg-2763	99	11	in	in	ADP
fuelectenerg-2763	99	12	this	this	DET
fuelectenerg-2763	99	13	case	case	NOUN
fuelectenerg-2763	99	14	.	.	PUNCT
fuelectenerg-2763	100	1	2.3.3	2.3.3	X
fuelectenerg-2763	100	2	.	.	PUNCT
fuelectenerg-2763	100	3	modulo	modulo	PROPN
fuelectenerg-2763	100	4	addition	addition	NOUN
fuelectenerg-2763	100	5	input	input	NOUN
fuelectenerg-2763	100	6	characteristics	characteristic	VERB
fuelectenerg-2763	100	7	two	two	NUM
fuelectenerg-2763	100	8	input	input	NOUN
fuelectenerg-2763	100	9	characteristics	characteristic	NOUN
fuelectenerg-2763	100	10	can	can	AUX
fuelectenerg-2763	100	11	be	be	AUX
fuelectenerg-2763	100	12	utilized	utilize	VERB
fuelectenerg-2763	100	13	to	to	PART
fuelectenerg-2763	100	14	linearize	linearize	VERB
fuelectenerg-2763	100	15	the	the	DET
fuelectenerg-2763	100	16	equations	equation	NOUN
fuelectenerg-2763	100	17	.	.	PUNCT
fuelectenerg-2763	101	1	first	first	ADV
fuelectenerg-2763	101	2	,	,	PUNCT
fuelectenerg-2763	101	3	no	no	DET
fuelectenerg-2763	101	4	carry	carry	NOUN
fuelectenerg-2763	101	5	is	be	AUX
fuelectenerg-2763	101	6	generated	generate	VERB
fuelectenerg-2763	101	7	when	when	SCONJ
fuelectenerg-2763	101	8	one	one	NUM
fuelectenerg-2763	101	9	of	of	ADP
fuelectenerg-2763	101	10	the	the	DET
fuelectenerg-2763	101	11	input	input	NOUN
fuelectenerg-2763	101	12	is	be	AUX
fuelectenerg-2763	101	13	simply	simply	ADV
fuelectenerg-2763	101	14	0	0	NUM
fuelectenerg-2763	101	15	.	.	PUNCT
fuelectenerg-2763	102	1	second	second	ADJ
fuelectenerg-2763	102	2	,	,	PUNCT
fuelectenerg-2763	102	3	there	there	PRON
fuelectenerg-2763	102	4	can	can	AUX
fuelectenerg-2763	102	5	be	be	AUX
fuelectenerg-2763	102	6	no	no	DET
fuelectenerg-2763	102	7	carries	carry	NOUN
fuelectenerg-2763	102	8	generated	generate	VERB
fuelectenerg-2763	102	9	when	when	SCONJ
fuelectenerg-2763	102	10	one	one	NUM
fuelectenerg-2763	102	11	of	of	ADP
fuelectenerg-2763	102	12	the	the	DET
fuelectenerg-2763	102	13	inputs	input	NOUN
fuelectenerg-2763	102	14	is	be	AUX
fuelectenerg-2763	102	15	the	the	DET
fuelectenerg-2763	102	16	two	two	NUM
fuelectenerg-2763	102	17	’s	’s	PART
fuelectenerg-2763	102	18	complement	complement	NOUN
fuelectenerg-2763	102	19	of	of	ADP
fuelectenerg-2763	102	20	the	the	DET
fuelectenerg-2763	102	21	other	other	ADJ
fuelectenerg-2763	102	22	input	input	NOUN
fuelectenerg-2763	102	23	.	.	PUNCT
fuelectenerg-2763	103	1	the	the	DET
fuelectenerg-2763	103	2	output	output	NOUN
fuelectenerg-2763	103	3	bits	bit	NOUN
fuelectenerg-2763	103	4	of	of	ADP
fuelectenerg-2763	103	5	this	this	DET
fuelectenerg-2763	103	6	input	input	NOUN
fuelectenerg-2763	103	7	pairing	pairing	NOUN
fuelectenerg-2763	103	8	are	be	AUX
fuelectenerg-2763	103	9	always	always	ADV
fuelectenerg-2763	103	10	0	0	NUM
fuelectenerg-2763	103	11	in	in	ADP
fuelectenerg-2763	103	12	modulo	modulo	ADJ
fuelectenerg-2763	103	13	addition	addition	NOUN
fuelectenerg-2763	103	14	.	.	PUNCT
fuelectenerg-2763	104	1	the	the	DET
fuelectenerg-2763	104	2	distribution	distribution	NOUN
fuelectenerg-2763	104	3	of	of	ADP
fuelectenerg-2763	104	4	the	the	DET
fuelectenerg-2763	104	5	carry	carry	NOUN
fuelectenerg-2763	104	6	bits	bits	NOUN
fuelectenerg-2763	104	7	is	be	AUX
fuelectenerg-2763	104	8	as	as	SCONJ
fuelectenerg-2763	104	9	follows	follow	VERB
fuelectenerg-2763	104	10	:	:	PUNCT
fuelectenerg-2763	104	11	there	there	PRON
fuelectenerg-2763	104	12	will	will	AUX
fuelectenerg-2763	104	13	be	be	AUX
fuelectenerg-2763	104	14	no	no	DET
fuelectenerg-2763	104	15	carries	carry	NOUN
fuelectenerg-2763	104	16	generated	generate	VERB
fuelectenerg-2763	104	17	from	from	ADP
fuelectenerg-2763	104	18	the	the	DET
fuelectenerg-2763	104	19	input	input	NOUN
fuelectenerg-2763	104	20	pairs	pair	NOUN
fuelectenerg-2763	104	21	until	until	ADP
fuelectenerg-2763	104	22	the	the	DET
fuelectenerg-2763	104	23	first	first	ADJ
fuelectenerg-2763	104	24	pair	pair	NOUN
fuelectenerg-2763	104	25	.	.	PUNCT
fuelectenerg-2763	105	1	then	then	ADV
fuelectenerg-2763	105	2	,	,	PUNCT
fuelectenerg-2763	105	3	the	the	DET
fuelectenerg-2763	105	4	subsequent	subsequent	ADJ
fuelectenerg-2763	105	5	input	input	NOUN
fuelectenerg-2763	105	6	pairs	pair	NOUN
fuelectenerg-2763	105	7	will	will	AUX
fuelectenerg-2763	105	8	always	always	ADV
fuelectenerg-2763	105	9	generate	generate	VERB
fuelectenerg-2763	105	10	a	a	DET
fuelectenerg-2763	105	11	carry	carry	NOUN
fuelectenerg-2763	105	12	.	.	PUNCT
fuelectenerg-2763	106	1	this	this	PRON
fuelectenerg-2763	106	2	provides	provide	VERB
fuelectenerg-2763	106	3	a	a	DET
fuelectenerg-2763	106	4	controlled	control	VERB
fuelectenerg-2763	106	5	distribution	distribution	NOUN
fuelectenerg-2763	106	6	to	to	ADP
fuelectenerg-2763	106	7	the	the	DET
fuelectenerg-2763	106	8	carry	carry	NOUN
fuelectenerg-2763	106	9	bits	bit	NOUN
fuelectenerg-2763	106	10	.	.	PUNCT
fuelectenerg-2763	107	1	in	in	ADP
fuelectenerg-2763	107	2	fact	fact	NOUN
fuelectenerg-2763	107	3	,	,	PUNCT
fuelectenerg-2763	107	4	if	if	SCONJ
fuelectenerg-2763	107	5	one	one	NUM
fuelectenerg-2763	107	6	of	of	ADP
fuelectenerg-2763	107	7	the	the	DET
fuelectenerg-2763	107	8	inputs	input	NOUN
fuelectenerg-2763	107	9	is	be	AUX
fuelectenerg-2763	107	10	a	a	DET
fuelectenerg-2763	107	11	power	power	NOUN
fuelectenerg-2763	107	12	of	of	ADP
fuelectenerg-2763	107	13	2	2	NUM
fuelectenerg-2763	107	14	and	and	CCONJ
fuelectenerg-2763	107	15	the	the	DET
fuelectenerg-2763	107	16	other	other	ADJ
fuelectenerg-2763	107	17	input	input	NOUN
fuelectenerg-2763	107	18	is	be	AUX
fuelectenerg-2763	107	19	the	the	DET
fuelectenerg-2763	107	20	two	two	NUM
fuelectenerg-2763	107	21	’s	’s	PART
fuelectenerg-2763	107	22	complement	complement	NOUN
fuelectenerg-2763	107	23	,	,	PUNCT
fuelectenerg-2763	107	24	then	then	ADV
fuelectenerg-2763	107	25	no	no	DET
fuelectenerg-2763	107	26	carry	carry	NOUN
fuelectenerg-2763	107	27	will	will	AUX
fuelectenerg-2763	107	28	be	be	AUX
fuelectenerg-2763	107	29	generated	generate	VERB
fuelectenerg-2763	107	30	.	.	PUNCT
fuelectenerg-2763	108	1	although	although	SCONJ
fuelectenerg-2763	108	2	these	these	DET
fuelectenerg-2763	108	3	conditions	condition	NOUN
fuelectenerg-2763	108	4	can	can	AUX
fuelectenerg-2763	108	5	reduce	reduce	VERB
fuelectenerg-2763	108	6	the	the	DET
fuelectenerg-2763	108	7	algebraic	algebraic	ADJ
fuelectenerg-2763	108	8	degree	degree	NOUN
fuelectenerg-2763	108	9	,	,	PUNCT
fuelectenerg-2763	108	10	the	the	DET
fuelectenerg-2763	108	11	probability	probability	NOUN
fuelectenerg-2763	108	12	attached	attach	VERB
fuelectenerg-2763	108	13	to	to	ADP
fuelectenerg-2763	108	14	these	these	DET
fuelectenerg-2763	108	15	conditions	condition	NOUN
fuelectenerg-2763	108	16	is	be	AUX
fuelectenerg-2763	108	17	.	.	PUNCT
fuelectenerg-2763	109	1	the	the	DET
fuelectenerg-2763	109	2	proposed	propose	VERB
fuelectenerg-2763	109	3	design	design	NOUN
fuelectenerg-2763	109	4	will	will	AUX
fuelectenerg-2763	109	5	not	not	PART
fuelectenerg-2763	109	6	only	only	ADV
fuelectenerg-2763	109	7	increase	increase	VERB
fuelectenerg-2763	109	8	the	the	DET
fuelectenerg-2763	109	9	algebraic	algebraic	ADJ
fuelectenerg-2763	109	10	degree	degree	NOUN
fuelectenerg-2763	109	11	of	of	ADP
fuelectenerg-2763	109	12	the	the	DET
fuelectenerg-2763	109	13	equations	equation	NOUN
fuelectenerg-2763	109	14	describing	describe	VERB
fuelectenerg-2763	109	15	the	the	DET
fuelectenerg-2763	109	16	relationship	relationship	NOUN
fuelectenerg-2763	109	17	between	between	ADP
fuelectenerg-2763	109	18	the	the	DET
fuelectenerg-2763	109	19	input	input	NOUN
fuelectenerg-2763	109	20	and	and	CCONJ
fuelectenerg-2763	109	21	output	output	NOUN
fuelectenerg-2763	109	22	,	,	PUNCT
fuelectenerg-2763	109	23	but	but	CCONJ
fuelectenerg-2763	109	24	also	also	ADV
fuelectenerg-2763	109	25	increases	increase	VERB
fuelectenerg-2763	109	26	the	the	DET
fuelectenerg-2763	109	27	difficulty	difficulty	NOUN
fuelectenerg-2763	109	28	of	of	ADP
fuelectenerg-2763	109	29	utilizing	utilize	VERB
fuelectenerg-2763	109	30	the	the	DET
fuelectenerg-2763	109	31	conditional	conditional	ADJ
fuelectenerg-2763	109	32	properties	property	NOUN
fuelectenerg-2763	109	33	.	.	PUNCT
fuelectenerg-2763	110	1	3	3	X
fuelectenerg-2763	110	2	.	.	X
fuelectenerg-2763	110	3	the	the	DET
fuelectenerg-2763	110	4	new	new	ADJ
fuelectenerg-2763	110	5	modulo	modulo	NOUN
fuelectenerg-2763	110	6	addition	addition	NOUN
fuelectenerg-2763	110	7	the	the	DET
fuelectenerg-2763	110	8	proposed	propose	VERB
fuelectenerg-2763	110	9	design	design	NOUN
fuelectenerg-2763	110	10	is	be	AUX
fuelectenerg-2763	110	11	a	a	DET
fuelectenerg-2763	110	12	new	new	ADJ
fuelectenerg-2763	110	13	type	type	NOUN
fuelectenerg-2763	110	14	of	of	ADP
fuelectenerg-2763	110	15	cryptographic	cryptographic	ADJ
fuelectenerg-2763	110	16	module	module	NOUN
fuelectenerg-2763	110	17	that	that	PRON
fuelectenerg-2763	110	18	provides	provide	VERB
fuelectenerg-2763	110	19	userdefined	userdefined	ADJ
fuelectenerg-2763	110	20	scalable	scalable	ADJ
fuelectenerg-2763	110	21	security	security	NOUN
fuelectenerg-2763	110	22	against	against	ADP
fuelectenerg-2763	110	23	algebraic	algebraic	ADJ
fuelectenerg-2763	110	24	attack	attack	NOUN
fuelectenerg-2763	110	25	.	.	PUNCT
fuelectenerg-2763	111	1	the	the	DET
fuelectenerg-2763	111	2	components	component	NOUN
fuelectenerg-2763	111	3	in	in	ADP
fuelectenerg-2763	111	4	the	the	DET
fuelectenerg-2763	111	5	new	new	ADJ
fuelectenerg-2763	111	6	modulo	modulo	NOUN
fuelectenerg-2763	111	7	addition	addition	NOUN
fuelectenerg-2763	111	8	includes	include	VERB
fuelectenerg-2763	111	9	:	:	PUNCT
fuelectenerg-2763	111	10	input	input	NOUN
fuelectenerg-2763	111	11	expansion	expansion	NOUN
fuelectenerg-2763	111	12	,	,	PUNCT
fuelectenerg-2763	111	13	modulo	modulo	NOUN
fuelectenerg-2763	111	14	addition	addition	NOUN
fuelectenerg-2763	111	15	,	,	PUNCT
fuelectenerg-2763	111	16	and	and	CCONJ
fuelectenerg-2763	111	17	output	output	NOUN
fuelectenerg-2763	111	18	compaction	compaction	NOUN
fuelectenerg-2763	111	19	.	.	PUNCT
fuelectenerg-2763	112	1	a	a	DET
fuelectenerg-2763	112	2	block	block	NOUN
fuelectenerg-2763	112	3	diagram	diagram	NOUN
fuelectenerg-2763	112	4	is	be	AUX
fuelectenerg-2763	112	5	shown	show	VERB
fuelectenerg-2763	112	6	in	in	ADP
fuelectenerg-2763	112	7	figure	figure	NOUN
fuelectenerg-2763	112	8	1	1	NUM
fuelectenerg-2763	112	9	to	to	PART
fuelectenerg-2763	112	10	contrast	contrast	VERB
fuelectenerg-2763	112	11	the	the	DET
fuelectenerg-2763	112	12	new	new	ADJ
fuelectenerg-2763	112	13	design	design	NOUN
fuelectenerg-2763	112	14	and	and	CCONJ
fuelectenerg-2763	112	15	traditional	traditional	ADJ
fuelectenerg-2763	112	16	modulo	modulo	NOUN
fuelectenerg-2763	112	17	addition	addition	NOUN
fuelectenerg-2763	112	18	.	.	PUNCT
fuelectenerg-2763	113	1	fig	fig	NOUN
fuelectenerg-2763	113	2	.	.	PUNCT
fuelectenerg-2763	114	1	1	1	NUM
fuelectenerg-2763	114	2	block	block	NOUN
fuelectenerg-2763	114	3	diagram	diagram	NOUN
fuelectenerg-2763	114	4	of	of	ADP
fuelectenerg-2763	114	5	the	the	DET
fuelectenerg-2763	114	6	new	new	ADJ
fuelectenerg-2763	114	7	design	design	NOUN
fuelectenerg-2763	114	8	a	a	DET
fuelectenerg-2763	114	9	novel	novel	ADJ
fuelectenerg-2763	114	10	architecture	architecture	NOUN
fuelectenerg-2763	114	11	with	with	ADP
fuelectenerg-2763	114	12	scalable	scalable	ADJ
fuelectenerg-2763	114	13	security	security	NOUN
fuelectenerg-2763	114	14	having	have	VERB
fuelectenerg-2763	114	15	expandable	expandable	ADJ
fuelectenerg-2763	114	16	computational	computational	ADJ
fuelectenerg-2763	114	17	complexity	complexity	NOUN
fuelectenerg-2763	114	18	465	465	NUM
fuelectenerg-2763	114	19	3.1	3.1	NUM
fuelectenerg-2763	114	20	.	.	PUNCT
fuelectenerg-2763	115	1	input	input	NOUN
fuelectenerg-2763	115	2	expansion	expansion	NOUN
fuelectenerg-2763	115	3	the	the	DET
fuelectenerg-2763	115	4	input	input	NOUN
fuelectenerg-2763	115	5	expansion	expansion	NOUN
fuelectenerg-2763	115	6	function	function	NOUN
fuelectenerg-2763	115	7	,	,	PUNCT
fuelectenerg-2763	115	8	fin	fin	NOUN
fuelectenerg-2763	115	9	(	(	PUNCT
fuelectenerg-2763	115	10	)	)	PUNCT
fuelectenerg-2763	115	11	,	,	PUNCT
fuelectenerg-2763	115	12	is	be	AUX
fuelectenerg-2763	115	13	a	a	DET
fuelectenerg-2763	115	14	function	function	NOUN
fuelectenerg-2763	115	15	that	that	PRON
fuelectenerg-2763	115	16	expands	expand	VERB
fuelectenerg-2763	115	17	each	each	DET
fuelectenerg-2763	115	18	single	single	ADJ
fuelectenerg-2763	115	19	input	input	NOUN
fuelectenerg-2763	115	20	bit	bit	NOUN
fuelectenerg-2763	115	21	into	into	ADP
fuelectenerg-2763	115	22	a	a	DET
fuelectenerg-2763	115	23	-bit	-bit	X
fuelectenerg-2763	115	24	string	string	NOUN
fuelectenerg-2763	115	25	based	base	VERB
fuelectenerg-2763	115	26	on	on	ADP
fuelectenerg-2763	115	27	an	an	DET
fuelectenerg-2763	115	28	n	n	PRON
fuelectenerg-2763	115	29	m	m	NOUN
fuelectenerg-2763	115	30	-	-	PUNCT
fuelectenerg-2763	115	31	bit	bit	NOUN
fuelectenerg-2763	115	32	control	control	NOUN
fuelectenerg-2763	115	33	string	string	NOUN
fuelectenerg-2763	116	1	ki	ki	PROPN
fuelectenerg-2763	116	2	.	.	PUNCT
fuelectenerg-2763	117	1	we	we	PRON
fuelectenerg-2763	117	2	specify	specify	VERB
fuelectenerg-2763	117	3	a	a	DET
fuelectenerg-2763	117	4	user	user	NOUN
fuelectenerg-2763	117	5	-	-	PUNCT
fuelectenerg-2763	117	6	defined	define	VERB
fuelectenerg-2763	117	7	parameter	parameter	NOUN
fuelectenerg-2763	117	8	m	m	NOUN
fuelectenerg-2763	117	9	that	that	PRON
fuelectenerg-2763	117	10	can	can	AUX
fuelectenerg-2763	117	11	be	be	AUX
fuelectenerg-2763	117	12	determined	determine	VERB
fuelectenerg-2763	117	13	depending	depend	VERB
fuelectenerg-2763	117	14	on	on	ADP
fuelectenerg-2763	117	15	the	the	DET
fuelectenerg-2763	117	16	security	security	NOUN
fuelectenerg-2763	117	17	requirement	requirement	NOUN
fuelectenerg-2763	117	18	.	.	PUNCT
fuelectenerg-2763	118	1	the	the	DET
fuelectenerg-2763	118	2	input	input	NOUN
fuelectenerg-2763	118	3	control	control	PROPN
fuelectenerg-2763	118	4	string	string	PROPN
fuelectenerg-2763	118	5	ki	ki	PROPN
fuelectenerg-2763	118	6	typically	typically	ADV
fuelectenerg-2763	118	7	can	can	AUX
fuelectenerg-2763	118	8	be	be	AUX
fuelectenerg-2763	118	9	generated	generate	VERB
fuelectenerg-2763	118	10	within	within	ADP
fuelectenerg-2763	118	11	a	a	DET
fuelectenerg-2763	118	12	cipher	cipher	ADJ
fuelectenerg-2763	118	13	.	.	PUNCT
fuelectenerg-2763	119	1	the	the	DET
fuelectenerg-2763	119	2	actual	actual	ADJ
fuelectenerg-2763	119	3	expansion	expansion	NOUN
fuelectenerg-2763	119	4	function	function	NOUN
fuelectenerg-2763	119	5	can	can	AUX
fuelectenerg-2763	119	6	be	be	AUX
fuelectenerg-2763	119	7	flexible	flexible	ADJ
fuelectenerg-2763	119	8	;	;	PUNCT
fuelectenerg-2763	119	9	meaning	mean	VERB
fuelectenerg-2763	119	10	,	,	PUNCT
fuelectenerg-2763	119	11	the	the	DET
fuelectenerg-2763	119	12	user	user	NOUN
fuelectenerg-2763	119	13	can	can	AUX
fuelectenerg-2763	119	14	substitute	substitute	VERB
fuelectenerg-2763	119	15	other	other	ADJ
fuelectenerg-2763	119	16	expanding	expand	VERB
fuelectenerg-2763	119	17	functions	function	NOUN
fuelectenerg-2763	119	18	instead	instead	ADV
fuelectenerg-2763	119	19	of	of	ADP
fuelectenerg-2763	119	20	the	the	DET
fuelectenerg-2763	119	21	proposed	propose	VERB
fuelectenerg-2763	119	22	one	one	NUM
fuelectenerg-2763	119	23	.	.	PUNCT
fuelectenerg-2763	120	1	for	for	ADP
fuelectenerg-2763	120	2	example	example	NOUN
fuelectenerg-2763	120	3	,	,	PUNCT
fuelectenerg-2763	120	4	the	the	DET
fuelectenerg-2763	120	5	expanding	expand	VERB
fuelectenerg-2763	120	6	function	function	NOUN
fuelectenerg-2763	120	7	can	can	AUX
fuelectenerg-2763	120	8	be	be	AUX
fuelectenerg-2763	120	9	an	an	DET
fuelectenerg-2763	120	10	algebraic	algebraic	ADJ
fuelectenerg-2763	120	11	function	function	NOUN
fuelectenerg-2763	120	12	or	or	CCONJ
fuelectenerg-2763	120	13	it	it	PRON
fuelectenerg-2763	120	14	can	can	AUX
fuelectenerg-2763	120	15	be	be	AUX
fuelectenerg-2763	120	16	an	an	DET
fuelectenerg-2763	120	17	s	s	NOUN
fuelectenerg-2763	120	18	-	-	NOUN
fuelectenerg-2763	120	19	box	box	NOUN
fuelectenerg-2763	120	20	.	.	PUNCT
fuelectenerg-2763	121	1	the	the	DET
fuelectenerg-2763	121	2	proposed	propose	VERB
fuelectenerg-2763	121	3	expansion	expansion	NOUN
fuelectenerg-2763	121	4	function	function	NOUN
fuelectenerg-2763	121	5	is	be	AUX
fuelectenerg-2763	121	6	an	an	DET
fuelectenerg-2763	121	7	arithmetic	arithmetic	ADJ
fuelectenerg-2763	121	8	relationship	relationship	NOUN
fuelectenerg-2763	121	9	that	that	PRON
fuelectenerg-2763	121	10	is	be	AUX
fuelectenerg-2763	121	11	easily	easily	ADV
fuelectenerg-2763	121	12	scalable	scalable	ADJ
fuelectenerg-2763	121	13	.	.	PUNCT
fuelectenerg-2763	122	1	also	also	ADV
fuelectenerg-2763	122	2	,	,	PUNCT
fuelectenerg-2763	122	3	each	each	PRON
fuelectenerg-2763	122	4	of	of	ADP
fuelectenerg-2763	122	5	its	its	PRON
fuelectenerg-2763	122	6	output	output	NOUN
fuelectenerg-2763	122	7	bit	bit	NOUN
fuelectenerg-2763	122	8	is	be	AUX
fuelectenerg-2763	122	9	0	0	NUM
fuelectenerg-2763	122	10	-	-	SYM
fuelectenerg-2763	122	11	1	1	NUM
fuelectenerg-2763	122	12	balanced	balanced	ADJ
fuelectenerg-2763	122	13	.	.	PUNCT
fuelectenerg-2763	123	1	we	we	PRON
fuelectenerg-2763	123	2	can	can	AUX
fuelectenerg-2763	123	3	define	define	VERB
fuelectenerg-2763	123	4	the	the	DET
fuelectenerg-2763	123	5	input	input	NOUN
fuelectenerg-2763	123	6	expansion	expansion	NOUN
fuelectenerg-2763	123	7	function	function	NOUN
fuelectenerg-2763	123	8	as	as	SCONJ
fuelectenerg-2763	123	9	follows	follow	VERB
fuelectenerg-2763	123	10	:	:	PUNCT
fuelectenerg-2763	123	11	let	let	VERB
fuelectenerg-2763	123	12	x	x	PUNCT
fuelectenerg-2763	123	13	=	=	PUNCT
fuelectenerg-2763	123	14	x	x	SYM
fuelectenerg-2763	123	15	…	…	PUNCT
fuelectenerg-2763	123	16	x	x	SYM
fuelectenerg-2763	123	17	x	x	X
fuelectenerg-2763	123	18	be	be	AUX
fuelectenerg-2763	123	19	an	an	DET
fuelectenerg-2763	123	20	n	n	NUM
fuelectenerg-2763	123	21	-	-	PUNCT
fuelectenerg-2763	123	22	bit	bit	NOUN
fuelectenerg-2763	123	23	input	input	NOUN
fuelectenerg-2763	123	24	and	and	CCONJ
fuelectenerg-2763	124	1	ki	ki	PROPN
fuelectenerg-2763	124	2	=	=	SYM
fuelectenerg-2763	124	3	ki	ki	PROPN
fuelectenerg-2763	124	4	…	…	PUNCT
fuelectenerg-2763	124	5	ki	ki	INTJ
fuelectenerg-2763	124	6	ki	ki	PROPN
fuelectenerg-2763	124	7	be	be	AUX
fuelectenerg-2763	124	8	its	its	PRON
fuelectenerg-2763	124	9	input	input	NOUN
fuelectenerg-2763	124	10	control	control	NOUN
fuelectenerg-2763	124	11	string	string	NOUN
fuelectenerg-2763	124	12	ki	ki	PROPN
fuelectenerg-2763	124	13	∈	∈	PROPN
fuelectenerg-2763	124	14	{	{	PUNCT
fuelectenerg-2763	124	15	}	}	PUNCT
fuelectenerg-2763	124	16	.	.	PUNCT
fuelectenerg-2763	125	1	furthermore	furthermore	ADV
fuelectenerg-2763	125	2	,	,	PUNCT
fuelectenerg-2763	125	3	let	let	VERB
fuelectenerg-2763	125	4	ki	ki	PROPN
fuelectenerg-2763	126	1	=	=	PRON
fuelectenerg-2763	126	2	ki	ki	PROPN
fuelectenerg-2763	126	3	ki	ki	PROPN
fuelectenerg-2763	126	4	,	,	PUNCT
fuelectenerg-2763	126	5	…	…	PUNCT
fuelectenerg-2763	126	6	ki	ki	INTJ
fuelectenerg-2763	126	7	ki	ki	PROPN
fuelectenerg-2763	126	8	such	such	ADJ
fuelectenerg-2763	126	9	that	that	SCONJ
fuelectenerg-2763	126	10	ki	ki	PROPN
fuelectenerg-2763	126	11	∈	∈	PROPN
fuelectenerg-2763	126	12	{	{	PUNCT
fuelectenerg-2763	126	13	}	}	PUNCT
fuelectenerg-2763	126	14	,	,	PUNCT
fuelectenerg-2763	126	15	≤	≤	NUM
fuelectenerg-2763	126	16	i	i	PRON
fuelectenerg-2763	126	17	≤	≤	NOUN
fuelectenerg-2763	126	18	n	n	CCONJ
fuelectenerg-2763	126	19	−	−	PROPN
fuelectenerg-2763	126	20	and	and	CCONJ
fuelectenerg-2763	126	21	≤	≤	NUM
fuelectenerg-2763	126	22	j	j	PROPN
fuelectenerg-2763	126	23	≤	≤	NUM
fuelectenerg-2763	126	24	m	m	VERB
fuelectenerg-2763	126	25	−	−	PROPN
fuelectenerg-2763	126	26	.	.	PUNCT
fuelectenerg-2763	127	1	then	then	ADV
fuelectenerg-2763	127	2	,	,	PUNCT
fuelectenerg-2763	127	3	let	let	VERB
fuelectenerg-2763	127	4	x′	x′	PROPN
fuelectenerg-2763	127	5	be	be	AUX
fuelectenerg-2763	127	6	the	the	DET
fuelectenerg-2763	127	7	expanded	expand	VERB
fuelectenerg-2763	127	8	input	input	NOUN
fuelectenerg-2763	127	9	such	such	ADJ
fuelectenerg-2763	127	10	that	that	SCONJ
fuelectenerg-2763	127	11	x	x	X
fuelectenerg-2763	127	12	=	=	PUNCT
fuelectenerg-2763	127	13	x′	x′	PROPN
fuelectenerg-2763	127	14	…	…	PUNCT
fuelectenerg-2763	128	1	x′	x′	PROPN
fuelectenerg-2763	128	2	x′	x′	PROPN
fuelectenerg-2763	128	3	and	and	CCONJ
fuelectenerg-2763	128	4	x′	x′	PROPN
fuelectenerg-2763	128	5	∈	∈	PROPN
fuelectenerg-2763	128	6	{	{	PUNCT
fuelectenerg-2763	128	7	}	}	PUNCT
fuelectenerg-2763	128	8	,	,	PUNCT
fuelectenerg-2763	128	9	where	where	SCONJ
fuelectenerg-2763	128	10	w	w	ADP
fuelectenerg-2763	129	1	=	=	PUNCT
fuelectenerg-2763	129	2	.	.	PUNCT
fuelectenerg-2763	130	1	ki	ki	PROPN
fuelectenerg-2763	130	2	is	be	AUX
fuelectenerg-2763	130	3	treated	treat	VERB
fuelectenerg-2763	130	4	as	as	ADP
fuelectenerg-2763	130	5	a	a	DET
fuelectenerg-2763	130	6	decimal	decimal	ADJ
fuelectenerg-2763	130	7	number	number	NOUN
fuelectenerg-2763	130	8	in	in	ADP
fuelectenerg-2763	130	9	(	(	PUNCT
fuelectenerg-2763	130	10	10	10	NUM
fuelectenerg-2763	130	11	)	)	PUNCT
fuelectenerg-2763	130	12	.	.	PUNCT
fuelectenerg-2763	131	1	(	(	PUNCT
fuelectenerg-2763	131	2	10	10	NUM
fuelectenerg-2763	131	3	)	)	PUNCT
fuelectenerg-2763	131	4	using	use	VERB
fuelectenerg-2763	131	5	(	(	PUNCT
fuelectenerg-2763	131	6	10	10	NUM
fuelectenerg-2763	131	7	)	)	PUNCT
fuelectenerg-2763	131	8	,	,	PUNCT
fuelectenerg-2763	131	9	it	it	PRON
fuelectenerg-2763	131	10	is	be	AUX
fuelectenerg-2763	131	11	recommended	recommend	VERB
fuelectenerg-2763	131	12	to	to	PART
fuelectenerg-2763	131	13	define	define	VERB
fuelectenerg-2763	131	14	the	the	DET
fuelectenerg-2763	131	15	user	user	NOUN
fuelectenerg-2763	131	16	-	-	PUNCT
fuelectenerg-2763	131	17	defined	define	VERB
fuelectenerg-2763	131	18	parameter	parameter	NOUN
fuelectenerg-2763	131	19	m	m	PROPN
fuelectenerg-2763	131	20	≥	≥	NUM
fuelectenerg-2763	131	21	2	2	NUM
fuelectenerg-2763	131	22	to	to	PART
fuelectenerg-2763	131	23	avoid	avoid	VERB
fuelectenerg-2763	131	24	repeating	repeat	VERB
fuelectenerg-2763	131	25	values	value	NOUN
fuelectenerg-2763	131	26	.	.	PUNCT
fuelectenerg-2763	132	1	3.2	3.2	NUM
fuelectenerg-2763	132	2	.	.	PUNCT
fuelectenerg-2763	132	3	addition	addition	NOUN
fuelectenerg-2763	132	4	modulo	modulo	VERB
fuelectenerg-2763	132	5	the	the	DET
fuelectenerg-2763	132	6	second	second	ADJ
fuelectenerg-2763	132	7	component	component	NOUN
fuelectenerg-2763	132	8	of	of	ADP
fuelectenerg-2763	132	9	the	the	DET
fuelectenerg-2763	132	10	design	design	NOUN
fuelectenerg-2763	132	11	takes	take	VERB
fuelectenerg-2763	132	12	the	the	DET
fuelectenerg-2763	132	13	expanded	expand	VERB
fuelectenerg-2763	132	14	inputs	input	NOUN
fuelectenerg-2763	132	15	and	and	CCONJ
fuelectenerg-2763	132	16	performs	perform	VERB
fuelectenerg-2763	132	17	modulo	modulo	NOUN
fuelectenerg-2763	132	18	addition	addition	NOUN
fuelectenerg-2763	132	19	.	.	PUNCT
fuelectenerg-2763	133	1	nevertheless	nevertheless	ADV
fuelectenerg-2763	133	2	,	,	PUNCT
fuelectenerg-2763	133	3	the	the	DET
fuelectenerg-2763	133	4	number	number	NOUN
fuelectenerg-2763	133	5	of	of	ADP
fuelectenerg-2763	133	6	additions	addition	NOUN
fuelectenerg-2763	133	7	now	now	ADV
fuelectenerg-2763	133	8	has	have	AUX
fuelectenerg-2763	133	9	increased	increase	VERB
fuelectenerg-2763	133	10	from	from	ADP
fuelectenerg-2763	133	11	to	to	ADP
fuelectenerg-2763	133	12	where	where	SCONJ
fuelectenerg-2763	133	13	w	w	NOUN
fuelectenerg-2763	133	14	=	=	PUNCT
fuelectenerg-2763	133	15	,	,	PUNCT
fuelectenerg-2763	133	16	as	as	SCONJ
fuelectenerg-2763	133	17	the	the	DET
fuelectenerg-2763	133	18	inputs	input	NOUN
fuelectenerg-2763	133	19	have	have	AUX
fuelectenerg-2763	133	20	been	be	AUX
fuelectenerg-2763	133	21	expanded	expand	VERB
fuelectenerg-2763	133	22	.	.	PUNCT
fuelectenerg-2763	134	1	let	let	VERB
fuelectenerg-2763	134	2	x	x	PUNCT
fuelectenerg-2763	134	3	=	=	PUNCT
fuelectenerg-2763	134	4	x	x	SYM
fuelectenerg-2763	134	5	…	…	PUNCT
fuelectenerg-2763	134	6	x	x	SYM
fuelectenerg-2763	134	7	x	x	X
fuelectenerg-2763	134	8	be	be	AUX
fuelectenerg-2763	134	9	an	an	DET
fuelectenerg-2763	134	10	n	n	NUM
fuelectenerg-2763	134	11	-	-	PUNCT
fuelectenerg-2763	134	12	bit	bit	NOUN
fuelectenerg-2763	134	13	input	input	NOUN
fuelectenerg-2763	134	14	and	and	CCONJ
fuelectenerg-2763	134	15	=	=	SYM
fuelectenerg-2763	134	16	y	y	PROPN
fuelectenerg-2763	134	17	…	…	PUNCT
fuelectenerg-2763	134	18	y	y	X
fuelectenerg-2763	134	19	y	y	PROPN
fuelectenerg-2763	134	20	be	be	AUX
fuelectenerg-2763	134	21	another	another	DET
fuelectenerg-2763	134	22	n	n	NUM
fuelectenerg-2763	134	23	-	-	PUNCT
fuelectenerg-2763	134	24	bit	bit	NOUN
fuelectenerg-2763	134	25	input	input	NOUN
fuelectenerg-2763	134	26	.	.	PUNCT
fuelectenerg-2763	135	1	let	let	VERB
fuelectenerg-2763	135	2	x	x	PUNCT
fuelectenerg-2763	135	3	=	=	PUNCT
fuelectenerg-2763	135	4	x	x	SYM
fuelectenerg-2763	135	5	…	…	PUNCT
fuelectenerg-2763	135	6	x	x	SYM
fuelectenerg-2763	135	7	x	x	SYM
fuelectenerg-2763	135	8	=	=	SYM
fuelectenerg-2763	135	9	(	(	PUNCT
fuelectenerg-2763	135	10	x′(n1)(w-1	x′(n1)(w-1	PROPN
fuelectenerg-2763	135	11	)	)	PUNCT
fuelectenerg-2763	135	12	,	,	PUNCT
fuelectenerg-2763	135	13	…	…	PUNCT
fuelectenerg-2763	135	14	,	,	PUNCT
fuelectenerg-2763	135	15	x′(n-1)1	x′(n-1)1	NUM
fuelectenerg-2763	135	16	,	,	PUNCT
fuelectenerg-2763	135	17	x′(n-1)0	x′(n-1)0	ADV
fuelectenerg-2763	135	18	,	,	PUNCT
fuelectenerg-2763	135	19	…	…	PUNCT
fuelectenerg-2763	135	20	,	,	PUNCT
fuelectenerg-2763	135	21	x′1(w-1	x′1(w-1	NOUN
fuelectenerg-2763	135	22	)	)	PUNCT
fuelectenerg-2763	135	23	,	,	PUNCT
fuelectenerg-2763	135	24	…	…	PUNCT
fuelectenerg-2763	135	25	,	,	PUNCT
fuelectenerg-2763	135	26	x′11	x′11	PROPN
fuelectenerg-2763	135	27	,	,	PUNCT
fuelectenerg-2763	135	28	x′10	x′10	NUM
fuelectenerg-2763	135	29	,	,	PUNCT
fuelectenerg-2763	135	30	x′0(w-1	x′0(w-1	ADJ
fuelectenerg-2763	135	31	)	)	PUNCT
fuelectenerg-2763	135	32	,	,	PUNCT
fuelectenerg-2763	135	33	…	…	PUNCT
fuelectenerg-2763	135	34	,	,	PUNCT
fuelectenerg-2763	135	35	x′01	x′01	PROPN
fuelectenerg-2763	135	36	,	,	PUNCT
fuelectenerg-2763	135	37	x′00	x′00	PROPN
fuelectenerg-2763	135	38	)	)	PUNCT
fuelectenerg-2763	135	39	be	be	VERB
fuelectenerg-2763	135	40	the	the	DET
fuelectenerg-2763	135	41	expanded	expand	VERB
fuelectenerg-2763	135	42	input	input	NOUN
fuelectenerg-2763	135	43	and	and	CCONJ
fuelectenerg-2763	135	44	y′	y′	NOUN
fuelectenerg-2763	135	45	=	=	SYM
fuelectenerg-2763	135	46	y′n-1	y′n-1	PROPN
fuelectenerg-2763	135	47	,	,	PUNCT
fuelectenerg-2763	135	48	…	…	PUNCT
fuelectenerg-2763	135	49	,	,	PUNCT
fuelectenerg-2763	135	50	y′1	y′1	X
fuelectenerg-2763	135	51	,	,	PUNCT
fuelectenerg-2763	135	52	y′0	y′0	X
fuelectenerg-2763	136	1	=	=	SYM
fuelectenerg-2763	136	2	(	(	PUNCT
fuelectenerg-2763	136	3	y′(n-1)(w-1	y′(n-1)(w-1	PROPN
fuelectenerg-2763	136	4	)	)	PUNCT
fuelectenerg-2763	136	5	,	,	PUNCT
fuelectenerg-2763	136	6	…	…	PUNCT
fuelectenerg-2763	136	7	,	,	PUNCT
fuelectenerg-2763	136	8	y′(n-1)1	y′(n-1)1	NOUN
fuelectenerg-2763	136	9	,	,	PUNCT
fuelectenerg-2763	136	10	y′(n-1)0	y′(n-1)0	NOUN
fuelectenerg-2763	136	11	,	,	PUNCT
fuelectenerg-2763	136	12	…	…	PUNCT
fuelectenerg-2763	136	13	,	,	PUNCT
fuelectenerg-2763	136	14	y′1(w-1	y′1(w-1	NOUN
fuelectenerg-2763	136	15	)	)	PUNCT
fuelectenerg-2763	136	16	,	,	PUNCT
fuelectenerg-2763	136	17	…	…	PUNCT
fuelectenerg-2763	136	18	,	,	PUNCT
fuelectenerg-2763	136	19	y′11	y′11	PROPN
fuelectenerg-2763	136	20	,	,	PUNCT
fuelectenerg-2763	136	21	y′10	y′10	NOUN
fuelectenerg-2763	136	22	,	,	PUNCT
fuelectenerg-2763	136	23	y′0(w-1	y′0(w-1	NOUN
fuelectenerg-2763	136	24	)	)	PUNCT
fuelectenerg-2763	136	25	,	,	PUNCT
fuelectenerg-2763	136	26	…	…	PUNCT
fuelectenerg-2763	136	27	,	,	PUNCT
fuelectenerg-2763	136	28	y′01	y′01	NOUN
fuelectenerg-2763	136	29	,	,	PUNCT
fuelectenerg-2763	136	30	y′00	y′00	PROPN
fuelectenerg-2763	136	31	)	)	PUNCT
fuelectenerg-2763	136	32	be	be	VERB
fuelectenerg-2763	136	33	the	the	DET
fuelectenerg-2763	136	34	other	other	ADJ
fuelectenerg-2763	136	35	expanded	expand	VERB
fuelectenerg-2763	136	36	input	input	NOUN
fuelectenerg-2763	136	37	.	.	PUNCT
fuelectenerg-2763	137	1	then	then	ADV
fuelectenerg-2763	137	2	,	,	PUNCT
fuelectenerg-2763	137	3	let	let	VERB
fuelectenerg-2763	137	4	z′	z′	NUM
fuelectenerg-2763	137	5	=	=	SYM
fuelectenerg-2763	137	6	z′n-1	z′n-1	PROPN
fuelectenerg-2763	137	7	,	,	PUNCT
fuelectenerg-2763	137	8	…	…	PUNCT
fuelectenerg-2763	137	9	,	,	PUNCT
fuelectenerg-2763	137	10	z′1	z′1	NOUN
fuelectenerg-2763	137	11	,	,	PUNCT
fuelectenerg-2763	137	12	z′0	z′0	X
fuelectenerg-2763	137	13	=	=	SYM
fuelectenerg-2763	137	14	(	(	PUNCT
fuelectenerg-2763	137	15	z′(n-1)(w-1	z′(n-1)(w-1	PROPN
fuelectenerg-2763	137	16	)	)	PUNCT
fuelectenerg-2763	137	17	,	,	PUNCT
fuelectenerg-2763	137	18	…	…	PUNCT
fuelectenerg-2763	137	19	,	,	PUNCT
fuelectenerg-2763	137	20	z′(n-1)1	z′(n-1)1	PRON
fuelectenerg-2763	137	21	,	,	PUNCT
fuelectenerg-2763	137	22	z′(n-1)0	z′(n-1)0	NOUN
fuelectenerg-2763	137	23	,	,	PUNCT
fuelectenerg-2763	137	24	…	…	PUNCT
fuelectenerg-2763	137	25	,	,	PUNCT
fuelectenerg-2763	137	26	z′1(w-1	z′1(w-1	NOUN
fuelectenerg-2763	137	27	)	)	PUNCT
fuelectenerg-2763	137	28	,	,	PUNCT
fuelectenerg-2763	137	29	…	…	PUNCT
fuelectenerg-2763	137	30	,	,	PUNCT
fuelectenerg-2763	137	31	z′11	z′11	PROPN
fuelectenerg-2763	137	32	,	,	PUNCT
fuelectenerg-2763	137	33	z′10	z′10	NOUN
fuelectenerg-2763	137	34	,	,	PUNCT
fuelectenerg-2763	137	35	z′0(w-1	z′0(w-1	PROPN
fuelectenerg-2763	137	36	)	)	PUNCT
fuelectenerg-2763	137	37	,	,	PUNCT
fuelectenerg-2763	137	38	…	…	PUNCT
fuelectenerg-2763	137	39	,	,	PUNCT
fuelectenerg-2763	137	40	z′01	z′01	PROPN
fuelectenerg-2763	137	41	,	,	PUNCT
fuelectenerg-2763	137	42	z′00	z′00	PROPN
fuelectenerg-2763	137	43	)	)	PUNCT
fuelectenerg-2763	137	44	be	be	VERB
fuelectenerg-2763	137	45	the	the	DET
fuelectenerg-2763	137	46	sum	sum	NOUN
fuelectenerg-2763	137	47	of	of	ADP
fuelectenerg-2763	137	48	the	the	DET
fuelectenerg-2763	137	49	modulo	modulo	ADJ
fuelectenerg-2763	137	50	addition	addition	NOUN
fuelectenerg-2763	137	51	.	.	PUNCT
fuelectenerg-2763	138	1	equations	equation	NOUN
fuelectenerg-2763	138	2	(	(	PUNCT
fuelectenerg-2763	138	3	8)	8)	NUM
fuelectenerg-2763	138	4	or	or	CCONJ
fuelectenerg-2763	138	5	(	(	PUNCT
fuelectenerg-2763	138	6	5	5	NUM
fuelectenerg-2763	138	7	)	)	PUNCT
fuelectenerg-2763	138	8	and	and	CCONJ
fuelectenerg-2763	138	9	(	(	PUNCT
fuelectenerg-2763	138	10	6	6	X
fuelectenerg-2763	138	11	)	)	PUNCT
fuelectenerg-2763	138	12	both	both	PRON
fuelectenerg-2763	138	13	can	can	AUX
fuelectenerg-2763	138	14	be	be	AUX
fuelectenerg-2763	138	15	used	use	VERB
fuelectenerg-2763	138	16	to	to	PART
fuelectenerg-2763	138	17	describe	describe	VERB
fuelectenerg-2763	138	18	the	the	DET
fuelectenerg-2763	138	19	modulo	modulo	ADJ
fuelectenerg-2763	138	20	addition	addition	NOUN
fuelectenerg-2763	138	21	.	.	PUNCT
fuelectenerg-2763	139	1	in	in	ADP
fuelectenerg-2763	139	2	(	(	PUNCT
fuelectenerg-2763	139	3	11	11	NUM
fuelectenerg-2763	139	4	)	)	PUNCT
fuelectenerg-2763	139	5	,	,	PUNCT
fuelectenerg-2763	139	6	the	the	DET
fuelectenerg-2763	139	7	equations	equation	NOUN
fuelectenerg-2763	139	8	are	be	AUX
fuelectenerg-2763	139	9	derived	derive	VERB
fuelectenerg-2763	139	10	from	from	ADP
fuelectenerg-2763	139	11	(	(	PUNCT
fuelectenerg-2763	139	12	8)	8)	NUM
fuelectenerg-2763	139	13	.	.	PUNCT
fuelectenerg-2763	140	1	(	(	PUNCT
fuelectenerg-2763	140	2	11	11	NUM
fuelectenerg-2763	140	3	)	)	PUNCT
fuelectenerg-2763	140	4	466	466	NUM
fuelectenerg-2763	140	5	p.	p.	NOUN
fuelectenerg-2763	140	6	siddavaatam	siddavaatam	NOUN
fuelectenerg-2763	140	7	,	,	PUNCT
fuelectenerg-2763	140	8	r.	r.	X
fuelectenerg-2763	140	9	sedaghat	sedaghat	ADP
fuelectenerg-2763	140	10	3.3	3.3	NUM
fuelectenerg-2763	140	11	.	.	PUNCT
fuelectenerg-2763	141	1	output	output	NOUN
fuelectenerg-2763	141	2	compaction	compaction	NOUN
fuelectenerg-2763	141	3	the	the	DET
fuelectenerg-2763	141	4	final	final	ADJ
fuelectenerg-2763	141	5	component	component	NOUN
fuelectenerg-2763	141	6	of	of	ADP
fuelectenerg-2763	141	7	the	the	DET
fuelectenerg-2763	141	8	new	new	ADJ
fuelectenerg-2763	141	9	design	design	NOUN
fuelectenerg-2763	141	10	is	be	AUX
fuelectenerg-2763	141	11	a	a	DET
fuelectenerg-2763	141	12	function	function	NOUN
fuelectenerg-2763	141	13	that	that	PRON
fuelectenerg-2763	141	14	compresses	compress	VERB
fuelectenerg-2763	141	15	z′	z′	NOUN
fuelectenerg-2763	141	16	to	to	ADP
fuelectenerg-2763	141	17	z	z	PROPN
fuelectenerg-2763	141	18	,	,	PUNCT
fuelectenerg-2763	141	19	i.e.	i.e.	X
fuelectenerg-2763	141	20	from	from	ADP
fuelectenerg-2763	141	21	{	{	PUNCT
fuelectenerg-2763	141	22	}	}	PUNCT
fuelectenerg-2763	141	23	{	{	PUNCT
fuelectenerg-2763	141	24	}	}	PUNCT
fuelectenerg-2763	141	25	,	,	PUNCT
fuelectenerg-2763	141	26	based	base	VERB
fuelectenerg-2763	141	27	on	on	ADP
fuelectenerg-2763	141	28	n	n	PRON
fuelectenerg-2763	141	29	m	m	NOUN
fuelectenerg-2763	141	30	-	-	PUNCT
fuelectenerg-2763	141	31	bit	bit	NOUN
fuelectenerg-2763	141	32	output	output	NOUN
fuelectenerg-2763	141	33	control	control	NOUN
fuelectenerg-2763	141	34	string	string	PROPN
fuelectenerg-2763	141	35	ko	ko	PROPN
fuelectenerg-2763	141	36	.	.	PUNCT
fuelectenerg-2763	142	1	the	the	DET
fuelectenerg-2763	142	2	function	function	NOUN
fuelectenerg-2763	142	3	is	be	AUX
fuelectenerg-2763	142	4	flexible	flexible	ADJ
fuelectenerg-2763	142	5	as	as	ADV
fuelectenerg-2763	142	6	long	long	ADV
fuelectenerg-2763	142	7	as	as	SCONJ
fuelectenerg-2763	142	8	the	the	DET
fuelectenerg-2763	142	9	function	function	NOUN
fuelectenerg-2763	142	10	chosen	choose	VERB
fuelectenerg-2763	142	11	is	be	AUX
fuelectenerg-2763	142	12	capable	capable	ADJ
fuelectenerg-2763	142	13	of	of	ADP
fuelectenerg-2763	142	14	constricting	constrict	VERB
fuelectenerg-2763	142	15	the	the	DET
fuelectenerg-2763	142	16	sum	sum	NOUN
fuelectenerg-2763	142	17	.	.	PUNCT
fuelectenerg-2763	143	1	in	in	ADP
fuelectenerg-2763	143	2	this	this	DET
fuelectenerg-2763	143	3	design	design	NOUN
fuelectenerg-2763	143	4	,	,	PUNCT
fuelectenerg-2763	143	5	the	the	DET
fuelectenerg-2763	143	6	proposed	propose	VERB
fuelectenerg-2763	143	7	function	function	NOUN
fuelectenerg-2763	143	8	is	be	AUX
fuelectenerg-2763	143	9	a	a	DET
fuelectenerg-2763	143	10	mux	mux	PROPN
fuelectenerg-2763	143	11	function	function	NOUN
fuelectenerg-2763	143	12	.	.	PUNCT
fuelectenerg-2763	144	1	let	let	VERB
fuelectenerg-2763	145	1	k	k	NOUN
fuelectenerg-2763	145	2	=	=	PUNCT
fuelectenerg-2763	145	3	k	k	PROPN
fuelectenerg-2763	145	4	…	…	PUNCT
fuelectenerg-2763	145	5	k	k	X
fuelectenerg-2763	145	6	k	k	PROPN
fuelectenerg-2763	145	7	and	and	CCONJ
fuelectenerg-2763	145	8	k	k	PROPN
fuelectenerg-2763	145	9	=	=	SYM
fuelectenerg-2763	145	10	k	k	PROPN
fuelectenerg-2763	146	1	…	…	PUNCT
fuelectenerg-2763	146	2	k	k	X
fuelectenerg-2763	146	3	k	k	X
fuelectenerg-2763	147	1	where	where	SCONJ
fuelectenerg-2763	147	2	k	k	PROPN
fuelectenerg-2763	147	3	{	{	PUNCT
fuelectenerg-2763	147	4	}	}	PUNCT
fuelectenerg-2763	147	5	.	.	PUNCT
fuelectenerg-2763	148	1	we	we	PRON
fuelectenerg-2763	148	2	have	have	VERB
fuelectenerg-2763	148	3	,	,	PUNCT
fuelectenerg-2763	148	4	=	=	SYM
fuelectenerg-2763	148	5	…	…	PUNCT
fuelectenerg-2763	148	6	=	=	SYM
fuelectenerg-2763	149	1	z	z	SYM
fuelectenerg-2763	149	2	k	k	NOUN
fuelectenerg-2763	150	1	…	…	PUNCT
fuelectenerg-2763	150	2	z	z	X
fuelectenerg-2763	151	1	k	k	NOUN
fuelectenerg-2763	151	2	z	z	PROPN
fuelectenerg-2763	151	3	k	k	PROPN
fuelectenerg-2763	151	4	.	.	PUNCT
fuelectenerg-2763	152	1	the	the	DET
fuelectenerg-2763	152	2	expression	expression	NOUN
fuelectenerg-2763	152	3	for	for	ADP
fuelectenerg-2763	152	4	can	can	AUX
fuelectenerg-2763	152	5	be	be	AUX
fuelectenerg-2763	152	6	generalized	generalize	VERB
fuelectenerg-2763	152	7	in	in	ADP
fuelectenerg-2763	152	8	(	(	PUNCT
fuelectenerg-2763	152	9	12	12	NUM
fuelectenerg-2763	152	10	)	)	PUNCT
fuelectenerg-2763	152	11	.	.	PUNCT
fuelectenerg-2763	153	1	(	(	PUNCT
fuelectenerg-2763	153	2	12	12	NUM
fuelectenerg-2763	153	3	)	)	PUNCT
fuelectenerg-2763	153	4	here	here	ADV
fuelectenerg-2763	153	5	,	,	PUNCT
fuelectenerg-2763	153	6	(	(	PUNCT
fuelectenerg-2763	153	7	-1	-1	PUNCT
fuelectenerg-2763	153	8	)	)	PUNCT
fuelectenerg-2763	153	9	refers	refer	VERB
fuelectenerg-2763	153	10	to	to	ADP
fuelectenerg-2763	153	11	the	the	DET
fuelectenerg-2763	153	12	complement	complement	NOUN
fuelectenerg-2763	153	13	of	of	ADP
fuelectenerg-2763	153	14	k	k	PROPN
fuelectenerg-2763	153	15	,	,	PUNCT
fuelectenerg-2763	153	16	summation	summation	NOUN
fuelectenerg-2763	153	17	refers	refer	VERB
fuelectenerg-2763	153	18	to	to	ADP
fuelectenerg-2763	153	19	logic	logic	NOUN
fuelectenerg-2763	153	20	xor	xor	PROPN
fuelectenerg-2763	153	21	,	,	PUNCT
fuelectenerg-2763	153	22	and	and	CCONJ
fuelectenerg-2763	153	23	multiplication	multiplication	NOUN
fuelectenerg-2763	153	24	refers	refer	VERB
fuelectenerg-2763	153	25	to	to	ADP
fuelectenerg-2763	153	26	logic	logic	NOUN
fuelectenerg-2763	153	27	and	and	CCONJ
fuelectenerg-2763	153	28	.	.	PUNCT
fuelectenerg-2763	154	1	an	an	DET
fuelectenerg-2763	154	2	example	example	NOUN
fuelectenerg-2763	154	3	is	be	AUX
fuelectenerg-2763	154	4	given	give	VERB
fuelectenerg-2763	154	5	below	below	ADP
fuelectenerg-2763	154	6	for	for	ADP
fuelectenerg-2763	154	7	m	m	PROPN
fuelectenerg-2763	154	8	=	=	SYM
fuelectenerg-2763	154	9	3	3	NUM
fuelectenerg-2763	154	10	,	,	PUNCT
fuelectenerg-2763	154	11	p	p	NOUN
fuelectenerg-2763	154	12	and	and	CCONJ
fuelectenerg-2763	154	13	q	q	NOUN
fuelectenerg-2763	154	14	are	be	AUX
fuelectenerg-2763	154	15	index	index	NOUN
fuelectenerg-2763	154	16	variables	variable	NOUN
fuelectenerg-2763	154	17	.	.	PUNCT
fuelectenerg-2763	155	1	4	4	X
fuelectenerg-2763	155	2	.	.	X
fuelectenerg-2763	155	3	analysis	analysis	NOUN
fuelectenerg-2763	155	4	of	of	ADP
fuelectenerg-2763	155	5	the	the	DET
fuelectenerg-2763	155	6	new	new	ADJ
fuelectenerg-2763	155	7	design	design	NOUN
fuelectenerg-2763	155	8	in	in	ADP
fuelectenerg-2763	155	9	this	this	DET
fuelectenerg-2763	155	10	section	section	NOUN
fuelectenerg-2763	155	11	,	,	PUNCT
fuelectenerg-2763	155	12	the	the	DET
fuelectenerg-2763	155	13	proposed	propose	VERB
fuelectenerg-2763	155	14	design	design	NOUN
fuelectenerg-2763	155	15	is	be	AUX
fuelectenerg-2763	155	16	analyzed	analyze	VERB
fuelectenerg-2763	155	17	with	with	ADP
fuelectenerg-2763	155	18	respect	respect	NOUN
fuelectenerg-2763	155	19	to	to	ADP
fuelectenerg-2763	155	20	algebraic	algebraic	ADJ
fuelectenerg-2763	155	21	attack	attack	NOUN
fuelectenerg-2763	155	22	.	.	PUNCT
fuelectenerg-2763	156	1	4.1	4.1	NUM
fuelectenerg-2763	156	2	.	.	PUNCT
fuelectenerg-2763	156	3	probability	probability	NOUN
fuelectenerg-2763	156	4	of	of	ADP
fuelectenerg-2763	156	5	carry	carry	VERB
fuelectenerg-2763	156	6	the	the	DET
fuelectenerg-2763	156	7	probability	probability	NOUN
fuelectenerg-2763	156	8	of	of	ADP
fuelectenerg-2763	156	9	carry	carry	NOUN
fuelectenerg-2763	156	10	in	in	ADP
fuelectenerg-2763	156	11	the	the	DET
fuelectenerg-2763	156	12	traditional	traditional	ADJ
fuelectenerg-2763	156	13	modulo	modulo	NOUN
fuelectenerg-2763	156	14	addition	addition	NOUN
fuelectenerg-2763	156	15	can	can	AUX
fuelectenerg-2763	156	16	be	be	AUX
fuelectenerg-2763	156	17	estimated	estimate	VERB
fuelectenerg-2763	156	18	using	use	VERB
fuelectenerg-2763	156	19	(	(	PUNCT
fuelectenerg-2763	156	20	9	9	NUM
fuelectenerg-2763	156	21	)	)	PUNCT
fuelectenerg-2763	156	22	.	.	PUNCT
fuelectenerg-2763	157	1	as	as	SCONJ
fuelectenerg-2763	157	2	mentioned	mention	VERB
fuelectenerg-2763	157	3	before	before	ADV
fuelectenerg-2763	157	4	,	,	PUNCT
fuelectenerg-2763	157	5	each	each	DET
fuelectenerg-2763	157	6	bit	bit	NOUN
fuelectenerg-2763	157	7	of	of	ADP
fuelectenerg-2763	157	8	the	the	DET
fuelectenerg-2763	157	9	expanded	expand	VERB
fuelectenerg-2763	157	10	input	input	NOUN
fuelectenerg-2763	157	11	is	be	AUX
fuelectenerg-2763	157	12	0	0	NUM
fuelectenerg-2763	157	13	-	-	SYM
fuelectenerg-2763	157	14	1	1	NUM
fuelectenerg-2763	157	15	balanced	balanced	ADJ
fuelectenerg-2763	157	16	.	.	PUNCT
fuelectenerg-2763	158	1	the	the	DET
fuelectenerg-2763	158	2	input	input	NOUN
fuelectenerg-2763	158	3	expansion	expansion	NOUN
fuelectenerg-2763	158	4	function	function	NOUN
fuelectenerg-2763	158	5	can	can	AUX
fuelectenerg-2763	158	6	be	be	AUX
fuelectenerg-2763	158	7	viewed	view	VERB
fuelectenerg-2763	158	8	as	as	ADP
fuelectenerg-2763	158	9	a	a	DET
fuelectenerg-2763	158	10	collection	collection	NOUN
fuelectenerg-2763	158	11	of	of	ADP
fuelectenerg-2763	158	12	boolean	boolean	ADJ
fuelectenerg-2763	158	13	functions	function	NOUN
fuelectenerg-2763	158	14	such	such	ADJ
fuelectenerg-2763	158	15	that	that	SCONJ
fuelectenerg-2763	158	16	each	each	DET
fuelectenerg-2763	158	17	output	output	NOUN
fuelectenerg-2763	158	18	bit	bit	NOUN
fuelectenerg-2763	158	19	is	be	AUX
fuelectenerg-2763	158	20	a	a	DET
fuelectenerg-2763	158	21	{	{	PUNCT
fuelectenerg-2763	158	22	}	}	PUNCT
fuelectenerg-2763	158	23	{	{	PUNCT
fuelectenerg-2763	158	24	}	}	PUNCT
fuelectenerg-2763	158	25	function	function	NOUN
fuelectenerg-2763	158	26	.	.	PUNCT
fuelectenerg-2763	159	1	each	each	DET
fuelectenerg-2763	159	2	boolean	boolean	ADJ
fuelectenerg-2763	159	3	function	function	NOUN
fuelectenerg-2763	159	4	,	,	PUNCT
fuelectenerg-2763	159	5	in	in	ADP
fuelectenerg-2763	159	6	this	this	DET
fuelectenerg-2763	159	7	case	case	NOUN
fuelectenerg-2763	159	8	,	,	PUNCT
fuelectenerg-2763	159	9	is	be	AUX
fuelectenerg-2763	159	10	0	0	NUM
fuelectenerg-2763	159	11	-	-	SYM
fuelectenerg-2763	159	12	1	1	NUM
fuelectenerg-2763	159	13	balanced	balanced	ADJ
fuelectenerg-2763	159	14	because	because	SCONJ
fuelectenerg-2763	159	15	the	the	DET
fuelectenerg-2763	159	16	output	output	NOUN
fuelectenerg-2763	159	17	of	of	ADP
fuelectenerg-2763	159	18	the	the	DET
fuelectenerg-2763	159	19	function	function	NOUN
fuelectenerg-2763	159	20	has	have	VERB
fuelectenerg-2763	159	21	an	an	DET
fuelectenerg-2763	159	22	equal	equal	ADJ
fuelectenerg-2763	159	23	chance	chance	NOUN
fuelectenerg-2763	159	24	of	of	ADP
fuelectenerg-2763	159	25	producing	produce	VERB
fuelectenerg-2763	159	26	a	a	DET
fuelectenerg-2763	159	27	0	0	NUM
fuelectenerg-2763	159	28	or	or	CCONJ
fuelectenerg-2763	159	29	1	1	NUM
fuelectenerg-2763	159	30	.	.	PUNCT
fuelectenerg-2763	159	31	with	with	ADP
fuelectenerg-2763	159	32	this	this	DET
fuelectenerg-2763	159	33	assumption	assumption	NOUN
fuelectenerg-2763	159	34	,	,	PUNCT
fuelectenerg-2763	159	35	the	the	DET
fuelectenerg-2763	159	36	probability	probability	NOUN
fuelectenerg-2763	159	37	of	of	ADP
fuelectenerg-2763	159	38	carry	carry	NOUN
fuelectenerg-2763	159	39	for	for	ADP
fuelectenerg-2763	159	40	the	the	DET
fuelectenerg-2763	159	41	new	new	ADJ
fuelectenerg-2763	159	42	design	design	NOUN
fuelectenerg-2763	159	43	can	can	AUX
fuelectenerg-2763	159	44	be	be	AUX
fuelectenerg-2763	159	45	derived	derive	VERB
fuelectenerg-2763	159	46	as	as	ADP
fuelectenerg-2763	159	47	below	below	ADV
fuelectenerg-2763	159	48	.	.	PUNCT
fuelectenerg-2763	160	1	the	the	DET
fuelectenerg-2763	160	2	result	result	NOUN
fuelectenerg-2763	160	3	shows	show	VERB
fuelectenerg-2763	160	4	that	that	SCONJ
fuelectenerg-2763	160	5	the	the	DET
fuelectenerg-2763	160	6	formula	formula	NOUN
fuelectenerg-2763	160	7	is	be	AUX
fuelectenerg-2763	160	8	very	very	ADV
fuelectenerg-2763	160	9	similar	similar	ADJ
fuelectenerg-2763	160	10	to	to	ADP
fuelectenerg-2763	160	11	(	(	PUNCT
fuelectenerg-2763	160	12	9	9	NUM
fuelectenerg-2763	160	13	)	)	PUNCT
fuelectenerg-2763	160	14	.	.	PUNCT
fuelectenerg-2763	161	1	let	let	VERB
fuelectenerg-2763	161	2	=	=	PRON
fuelectenerg-2763	161	3	…	…	PUNCT
fuelectenerg-2763	161	4	=	=	SYM
fuelectenerg-2763	161	5	…	…	PUNCT
fuelectenerg-2763	161	6	,	,	PUNCT
fuelectenerg-2763	161	7	…	…	PUNCT
fuelectenerg-2763	161	8	…	…	PUNCT
fuelectenerg-2763	161	9	…	…	PUNCT
fuelectenerg-2763	161	10	be	be	AUX
fuelectenerg-2763	161	11	the	the	DET
fuelectenerg-2763	161	12	carry	carry	NOUN
fuelectenerg-2763	161	13	bits	bit	NOUN
fuelectenerg-2763	161	14	generated	generate	VERB
fuelectenerg-2763	161	15	from	from	ADP
fuelectenerg-2763	161	16	summing	sum	VERB
fuelectenerg-2763	161	17	the	the	DET
fuelectenerg-2763	161	18	two	two	NUM
fuelectenerg-2763	161	19	expanded	expand	VERB
fuelectenerg-2763	161	20	inputs	input	NOUN
fuelectenerg-2763	161	21	.	.	PUNCT
fuelectenerg-2763	162	1	also	also	ADV
fuelectenerg-2763	162	2	,	,	PUNCT
fuelectenerg-2763	162	3	the	the	DET
fuelectenerg-2763	162	4	limits	limit	NOUN
fuelectenerg-2763	162	5	are	be	AUX
fuelectenerg-2763	162	6	≤	≤	ADJ
fuelectenerg-2763	163	1	i	i	PRON
fuelectenerg-2763	163	2	≤	≤	NOUN
fuelectenerg-2763	163	3	n	n	CCONJ
fuelectenerg-2763	163	4	−	−	PROPN
fuelectenerg-2763	163	5	≤	≤	NUM
fuelectenerg-2763	163	6	j	j	PROPN
fuelectenerg-2763	163	7	≤	≤	NOUN
fuelectenerg-2763	163	8	,	,	PUNCT
fuelectenerg-2763	163	9	and	and	CCONJ
fuelectenerg-2763	163	10	w	w	PROPN
fuelectenerg-2763	163	11	=	=	X
fuelectenerg-2763	163	12	.	.	PUNCT
fuelectenerg-2763	164	1	a	a	DET
fuelectenerg-2763	164	2	novel	novel	ADJ
fuelectenerg-2763	164	3	architecture	architecture	NOUN
fuelectenerg-2763	164	4	with	with	ADP
fuelectenerg-2763	164	5	scalable	scalable	ADJ
fuelectenerg-2763	164	6	security	security	NOUN
fuelectenerg-2763	164	7	having	have	VERB
fuelectenerg-2763	164	8	expandable	expandable	ADJ
fuelectenerg-2763	164	9	computational	computational	ADJ
fuelectenerg-2763	164	10	complexity	complexity	NOUN
fuelectenerg-2763	164	11	467	467	NUM
fuelectenerg-2763	164	12	(	(	PUNCT
fuelectenerg-2763	164	13	13	13	NUM
fuelectenerg-2763	164	14	)	)	PUNCT
fuelectenerg-2763	164	15	4.2	4.2	NUM
fuelectenerg-2763	164	16	.	.	PUNCT
fuelectenerg-2763	165	1	new	new	ADJ
fuelectenerg-2763	165	2	design	design	NOUN
fuelectenerg-2763	165	3	with	with	ADP
fuelectenerg-2763	165	4	no	no	DET
fuelectenerg-2763	165	5	carries	carry	VERB
fuelectenerg-2763	165	6	as	as	ADP
fuelectenerg-2763	165	7	a	a	DET
fuelectenerg-2763	165	8	result	result	NOUN
fuelectenerg-2763	165	9	of	of	ADP
fuelectenerg-2763	165	10	(	(	PUNCT
fuelectenerg-2763	165	11	13	13	NUM
fuelectenerg-2763	165	12	)	)	PUNCT
fuelectenerg-2763	165	13	,	,	PUNCT
fuelectenerg-2763	165	14	the	the	DET
fuelectenerg-2763	165	15	probability	probability	NOUN
fuelectenerg-2763	165	16	of	of	ADP
fuelectenerg-2763	165	17	carry	carry	NOUN
fuelectenerg-2763	165	18	has	have	AUX
fuelectenerg-2763	165	19	decreased	decrease	VERB
fuelectenerg-2763	165	20	from	from	ADP
fuelectenerg-2763	165	21	to	to	ADP
fuelectenerg-2763	165	22	for	for	ADP
fuelectenerg-2763	165	23	the	the	DET
fuelectenerg-2763	165	24	same	same	ADJ
fuelectenerg-2763	165	25	n	n	CCONJ
fuelectenerg-2763	165	26	-	-	PUNCT
fuelectenerg-2763	165	27	bit	bit	NOUN
fuelectenerg-2763	165	28	input	input	NOUN
fuelectenerg-2763	165	29	pair	pair	NOUN
fuelectenerg-2763	165	30	.	.	PUNCT
fuelectenerg-2763	166	1	this	this	PRON
fuelectenerg-2763	166	2	helps	help	VERB
fuelectenerg-2763	166	3	increase	increase	VERB
fuelectenerg-2763	166	4	the	the	DET
fuelectenerg-2763	166	5	difficulty	difficulty	NOUN
fuelectenerg-2763	166	6	of	of	ADP
fuelectenerg-2763	166	7	an	an	DET
fuelectenerg-2763	166	8	attacker	attacker	NOUN
fuelectenerg-2763	166	9	to	to	PART
fuelectenerg-2763	166	10	create	create	VERB
fuelectenerg-2763	166	11	a	a	DET
fuelectenerg-2763	166	12	scenario	scenario	NOUN
fuelectenerg-2763	166	13	without	without	ADP
fuelectenerg-2763	166	14	any	any	DET
fuelectenerg-2763	166	15	carry	carry	NOUN
fuelectenerg-2763	166	16	,	,	PUNCT
fuelectenerg-2763	166	17	as	as	SCONJ
fuelectenerg-2763	166	18	discussed	discuss	VERB
fuelectenerg-2763	166	19	in	in	ADP
fuelectenerg-2763	166	20	section	section	NOUN
fuelectenerg-2763	166	21	2	2	NUM
fuelectenerg-2763	166	22	.	.	SYM
fuelectenerg-2763	166	23	4.3	4.3	NUM
fuelectenerg-2763	166	24	.	.	PUNCT
fuelectenerg-2763	167	1	modulo	modulo	PROPN
fuelectenerg-2763	167	2	addition	addition	NOUN
fuelectenerg-2763	167	3	output	output	NOUN
fuelectenerg-2763	167	4	characteristics	characteristic	NOUN
fuelectenerg-2763	167	5	in	in	ADP
fuelectenerg-2763	167	6	the	the	DET
fuelectenerg-2763	167	7	new	new	ADJ
fuelectenerg-2763	167	8	design	design	NOUN
fuelectenerg-2763	167	9	in	in	ADP
fuelectenerg-2763	167	10	a	a	DET
fuelectenerg-2763	167	11	traditional	traditional	ADJ
fuelectenerg-2763	167	12	modulo	modulo	NOUN
fuelectenerg-2763	167	13	addition	addition	NOUN
fuelectenerg-2763	167	14	,	,	PUNCT
fuelectenerg-2763	167	15	the	the	DET
fuelectenerg-2763	167	16	output	output	NOUN
fuelectenerg-2763	167	17	bits	bit	NOUN
fuelectenerg-2763	167	18	can	can	AUX
fuelectenerg-2763	167	19	be	be	AUX
fuelectenerg-2763	167	20	used	use	VERB
fuelectenerg-2763	167	21	directly	directly	ADV
fuelectenerg-2763	167	22	to	to	PART
fuelectenerg-2763	167	23	derive	derive	VERB
fuelectenerg-2763	167	24	potential	potential	ADJ
fuelectenerg-2763	167	25	carries	carry	NOUN
fuelectenerg-2763	167	26	and	and	CCONJ
fuelectenerg-2763	167	27	input	input	NOUN
fuelectenerg-2763	167	28	pairings	pairing	NOUN
fuelectenerg-2763	167	29	.	.	PUNCT
fuelectenerg-2763	168	1	in	in	ADP
fuelectenerg-2763	168	2	the	the	DET
fuelectenerg-2763	168	3	new	new	ADJ
fuelectenerg-2763	168	4	design	design	NOUN
fuelectenerg-2763	168	5	,	,	PUNCT
fuelectenerg-2763	168	6	the	the	DET
fuelectenerg-2763	168	7	output	output	NOUN
fuelectenerg-2763	168	8	compaction	compaction	NOUN
fuelectenerg-2763	168	9	function	function	NOUN
fuelectenerg-2763	168	10	is	be	AUX
fuelectenerg-2763	168	11	lossy	lossy	ADJ
fuelectenerg-2763	168	12	;	;	PUNCT
fuelectenerg-2763	168	13	thus	thus	ADV
fuelectenerg-2763	168	14	,	,	PUNCT
fuelectenerg-2763	168	15	the	the	DET
fuelectenerg-2763	168	16	attacker	attacker	NOUN
fuelectenerg-2763	168	17	can	can	AUX
fuelectenerg-2763	168	18	only	only	ADV
fuelectenerg-2763	168	19	obtain	obtain	VERB
fuelectenerg-2763	168	20	n	n	PRON
fuelectenerg-2763	168	21	bits	bit	NOUN
fuelectenerg-2763	168	22	out	out	ADP
fuelectenerg-2763	168	23	of	of	ADP
fuelectenerg-2763	168	24	2	2	NUM
fuelectenerg-2763	168	25	nw	nw	NOUN
fuelectenerg-2763	168	26	bits	bit	NOUN
fuelectenerg-2763	168	27	even	even	ADV
fuelectenerg-2763	168	28	if	if	SCONJ
fuelectenerg-2763	168	29	the	the	DET
fuelectenerg-2763	168	30	output	output	NOUN
fuelectenerg-2763	168	31	control	control	NOUN
fuelectenerg-2763	168	32	string	string	PROPN
fuelectenerg-2763	168	33	ko	ko	PROPN
fuelectenerg-2763	168	34	is	be	AUX
fuelectenerg-2763	168	35	known	know	VERB
fuelectenerg-2763	168	36	.	.	PUNCT
fuelectenerg-2763	169	1	therefore	therefore	ADV
fuelectenerg-2763	169	2	,	,	PUNCT
fuelectenerg-2763	169	3	these	these	DET
fuelectenerg-2763	169	4	n	n	PRON
fuelectenerg-2763	169	5	bits	bit	NOUN
fuelectenerg-2763	169	6	can	can	AUX
fuelectenerg-2763	169	7	not	not	PART
fuelectenerg-2763	169	8	provide	provide	VERB
fuelectenerg-2763	169	9	enough	enough	ADJ
fuelectenerg-2763	169	10	information	information	NOUN
fuelectenerg-2763	169	11	to	to	PART
fuelectenerg-2763	169	12	derive	derive	VERB
fuelectenerg-2763	169	13	the	the	DET
fuelectenerg-2763	169	14	potential	potential	NOUN
fuelectenerg-2763	169	15	carries	carry	VERB
fuelectenerg-2763	169	16	and	and	CCONJ
fuelectenerg-2763	169	17	input	input	NOUN
fuelectenerg-2763	169	18	pairings	pairing	NOUN
fuelectenerg-2763	169	19	.	.	PUNCT
fuelectenerg-2763	170	1	however	however	ADV
fuelectenerg-2763	170	2	,	,	PUNCT
fuelectenerg-2763	170	3	it	it	PRON
fuelectenerg-2763	170	4	is	be	AUX
fuelectenerg-2763	170	5	still	still	ADV
fuelectenerg-2763	170	6	possible	possible	ADJ
fuelectenerg-2763	170	7	to	to	PART
fuelectenerg-2763	170	8	have	have	VERB
fuelectenerg-2763	170	9	all	all	DET
fuelectenerg-2763	170	10	1	1	NUM
fuelectenerg-2763	170	11	’s	’s	NOUN
fuelectenerg-2763	170	12	in	in	ADP
fuelectenerg-2763	170	13	the	the	DET
fuelectenerg-2763	170	14	sum	sum	NOUN
fuelectenerg-2763	170	15	of	of	ADP
fuelectenerg-2763	170	16	the	the	DET
fuelectenerg-2763	170	17	modulo	modulo	PROPN
fuelectenerg-2763	170	18	addition	addition	NOUN
fuelectenerg-2763	170	19	component	component	NOUN
fuelectenerg-2763	170	20	in	in	ADP
fuelectenerg-2763	170	21	the	the	DET
fuelectenerg-2763	170	22	new	new	ADJ
fuelectenerg-2763	170	23	design	design	NOUN
fuelectenerg-2763	170	24	.	.	PUNCT
fuelectenerg-2763	171	1	this	this	PRON
fuelectenerg-2763	171	2	requires	require	VERB
fuelectenerg-2763	171	3	specific	specific	ADJ
fuelectenerg-2763	171	4	combinations	combination	NOUN
fuelectenerg-2763	171	5	of	of	ADP
fuelectenerg-2763	171	6	the	the	DET
fuelectenerg-2763	171	7	two	two	NUM
fuelectenerg-2763	171	8	m	m	ADJ
fuelectenerg-2763	171	9	-	-	PUNCT
fuelectenerg-2763	171	10	bit	bit	NOUN
fuelectenerg-2763	171	11	input	input	NOUN
fuelectenerg-2763	171	12	control	control	NOUN
fuelectenerg-2763	171	13	strings	string	NOUN
fuelectenerg-2763	171	14	ki	ki	PROPN
fuelectenerg-2763	171	15	and	and	CCONJ
fuelectenerg-2763	171	16	kiyi	kiyi	VERB
fuelectenerg-2763	171	17	in	in	ADP
fuelectenerg-2763	171	18	particular	particular	ADJ
fuelectenerg-2763	171	19	,	,	PUNCT
fuelectenerg-2763	171	20	the	the	DET
fuelectenerg-2763	171	21	two	two	NUM
fuelectenerg-2763	171	22	input	input	NOUN
fuelectenerg-2763	171	23	control	control	NOUN
fuelectenerg-2763	171	24	strings	string	NOUN
fuelectenerg-2763	171	25	need	need	VERB
fuelectenerg-2763	171	26	to	to	PART
fuelectenerg-2763	171	27	be	be	AUX
fuelectenerg-2763	171	28	the	the	DET
fuelectenerg-2763	171	29	same	same	ADJ
fuelectenerg-2763	171	30	while	while	SCONJ
fuelectenerg-2763	171	31	the	the	DET
fuelectenerg-2763	171	32	corresponding	corresponding	ADJ
fuelectenerg-2763	171	33	inputs	input	NOUN
fuelectenerg-2763	171	34	need	need	VERB
fuelectenerg-2763	171	35	to	to	PART
fuelectenerg-2763	171	36	be	be	AUX
fuelectenerg-2763	171	37	a	a	DET
fuelectenerg-2763	171	38	propagate	propagate	ADJ
fuelectenerg-2763	171	39	pair	pair	NOUN
fuelectenerg-2763	171	40	.	.	PUNCT
fuelectenerg-2763	172	1	as	as	SCONJ
fuelectenerg-2763	172	2	mentioned	mention	VERB
fuelectenerg-2763	172	3	before	before	ADV
fuelectenerg-2763	172	4	,	,	PUNCT
fuelectenerg-2763	172	5	the	the	DET
fuelectenerg-2763	172	6	probability	probability	NOUN
fuelectenerg-2763	172	7	of	of	ADP
fuelectenerg-2763	172	8	output	output	NOUN
fuelectenerg-2763	172	9	being	be	AUX
fuelectenerg-2763	172	10	all	all	DET
fuelectenerg-2763	172	11	1	1	NUM
fuelectenerg-2763	172	12	’s	’s	NOUN
fuelectenerg-2763	172	13	in	in	ADP
fuelectenerg-2763	172	14	a	a	DET
fuelectenerg-2763	172	15	traditional	traditional	ADJ
fuelectenerg-2763	172	16	modulo	modulo	NOUN
fuelectenerg-2763	172	17	addition	addition	NOUN
fuelectenerg-2763	172	18	is	be	AUX
fuelectenerg-2763	172	19	.	.	PUNCT
fuelectenerg-2763	173	1	the	the	DET
fuelectenerg-2763	173	2	probability	probability	NOUN
fuelectenerg-2763	173	3	of	of	ADP
fuelectenerg-2763	173	4	this	this	DET
fuelectenerg-2763	173	5	condition	condition	NOUN
fuelectenerg-2763	173	6	occurring	occur	VERB
fuelectenerg-2763	173	7	in	in	ADP
fuelectenerg-2763	173	8	the	the	DET
fuelectenerg-2763	173	9	new	new	ADJ
fuelectenerg-2763	173	10	design	design	NOUN
fuelectenerg-2763	173	11	is	be	AUX
fuelectenerg-2763	173	12	decreased	decrease	VERB
fuelectenerg-2763	173	13	to	to	ADP
fuelectenerg-2763	173	14	(	(	PUNCT
fuelectenerg-2763	173	15	)	)	PUNCT
fuelectenerg-2763	173	16	(	(	PUNCT
fuelectenerg-2763	173	17	)	)	PUNCT
fuelectenerg-2763	173	18	.	.	PUNCT
fuelectenerg-2763	174	1	4.4	4.4	NUM
fuelectenerg-2763	174	2	.	.	PUNCT
fuelectenerg-2763	175	1	modulo	modulo	PROPN
fuelectenerg-2763	175	2	addition	addition	NOUN
fuelectenerg-2763	175	3	input	input	NOUN
fuelectenerg-2763	175	4	characteristics	characteristic	NOUN
fuelectenerg-2763	175	5	in	in	ADP
fuelectenerg-2763	175	6	the	the	DET
fuelectenerg-2763	175	7	new	new	ADJ
fuelectenerg-2763	175	8	design	design	NOUN
fuelectenerg-2763	175	9	similar	similar	ADJ
fuelectenerg-2763	175	10	approach	approach	NOUN
fuelectenerg-2763	175	11	is	be	AUX
fuelectenerg-2763	175	12	applied	apply	VERB
fuelectenerg-2763	175	13	to	to	PART
fuelectenerg-2763	175	14	evaluate	evaluate	VERB
fuelectenerg-2763	175	15	the	the	DET
fuelectenerg-2763	175	16	use	use	NOUN
fuelectenerg-2763	175	17	of	of	ADP
fuelectenerg-2763	175	18	input	input	NOUN
fuelectenerg-2763	175	19	characteristics	characteristic	NOUN
fuelectenerg-2763	175	20	of	of	ADP
fuelectenerg-2763	175	21	the	the	DET
fuelectenerg-2763	175	22	modulo	modulo	PROPN
fuelectenerg-2763	175	23	addition	addition	NOUN
fuelectenerg-2763	175	24	component	component	NOUN
fuelectenerg-2763	175	25	in	in	ADP
fuelectenerg-2763	175	26	the	the	DET
fuelectenerg-2763	175	27	new	new	ADJ
fuelectenerg-2763	175	28	design	design	NOUN
fuelectenerg-2763	175	29	.	.	PUNCT
fuelectenerg-2763	176	1	first	first	ADV
fuelectenerg-2763	176	2	,	,	PUNCT
fuelectenerg-2763	176	3	the	the	DET
fuelectenerg-2763	176	4	expanded	expand	VERB
fuelectenerg-2763	176	5	inputs	input	NOUN
fuelectenerg-2763	176	6	will	will	AUX
fuelectenerg-2763	176	7	never	never	ADV
fuelectenerg-2763	176	8	be	be	AUX
fuelectenerg-2763	176	9	all	all	PRON
fuelectenerg-2763	176	10	0	0	NUM
fuelectenerg-2763	176	11	’s	’s	ADJ
fuelectenerg-2763	176	12	when	when	SCONJ
fuelectenerg-2763	176	13	using	use	VERB
fuelectenerg-2763	176	14	the	the	DET
fuelectenerg-2763	176	15	input	input	NOUN
fuelectenerg-2763	176	16	expansion	expansion	NOUN
fuelectenerg-2763	176	17	function	function	NOUN
fuelectenerg-2763	176	18	given	give	VERB
fuelectenerg-2763	176	19	in	in	ADP
fuelectenerg-2763	176	20	(	(	PUNCT
fuelectenerg-2763	176	21	10	10	NUM
fuelectenerg-2763	176	22	)	)	PUNCT
fuelectenerg-2763	176	23	.	.	PUNCT
fuelectenerg-2763	177	1	therefore	therefore	ADV
fuelectenerg-2763	177	2	,	,	PUNCT
fuelectenerg-2763	177	3	this	this	DET
fuelectenerg-2763	177	4	characteristic	characteristic	NOUN
fuelectenerg-2763	177	5	becomes	become	VERB
fuelectenerg-2763	177	6	invalid	invalid	ADJ
fuelectenerg-2763	177	7	.	.	PUNCT
fuelectenerg-2763	178	1	nevertheless	nevertheless	ADV
fuelectenerg-2763	178	2	,	,	PUNCT
fuelectenerg-2763	178	3	it	it	PRON
fuelectenerg-2763	178	4	is	be	AUX
fuelectenerg-2763	178	5	possible	possible	ADJ
fuelectenerg-2763	178	6	for	for	SCONJ
fuelectenerg-2763	178	7	the	the	DET
fuelectenerg-2763	178	8	expanded	expand	VERB
fuelectenerg-2763	178	9	inputs	input	NOUN
fuelectenerg-2763	178	10	to	to	PART
fuelectenerg-2763	178	11	be	be	AUX
fuelectenerg-2763	178	12	the	the	DET
fuelectenerg-2763	178	13	two	two	NUM
fuelectenerg-2763	178	14	’s	’s	PART
fuelectenerg-2763	178	15	complement	complement	NOUN
fuelectenerg-2763	178	16	of	of	ADP
fuelectenerg-2763	178	17	one	one	NUM
fuelectenerg-2763	178	18	another	another	DET
fuelectenerg-2763	178	19	.	.	PUNCT
fuelectenerg-2763	179	1	by	by	ADP
fuelectenerg-2763	179	2	observing	observe	VERB
fuelectenerg-2763	179	3	(	(	PUNCT
fuelectenerg-2763	179	4	10	10	NUM
fuelectenerg-2763	179	5	)	)	PUNCT
fuelectenerg-2763	179	6	carefully	carefully	ADV
fuelectenerg-2763	179	7	,	,	PUNCT
fuelectenerg-2763	179	8	it	it	PRON
fuelectenerg-2763	179	9	is	be	AUX
fuelectenerg-2763	179	10	discovered	discover	VERB
fuelectenerg-2763	179	11	that	that	SCONJ
fuelectenerg-2763	179	12	there	there	PRON
fuelectenerg-2763	179	13	are	be	VERB
fuelectenerg-2763	179	14	only	only	ADV
fuelectenerg-2763	179	15	3	3	NUM
fuelectenerg-2763	179	16	such	such	ADJ
fuelectenerg-2763	179	17	cases	case	NOUN
fuelectenerg-2763	179	18	given	give	VERB
fuelectenerg-2763	179	19	any	any	DET
fuelectenerg-2763	179	20	m	m	NOUN
fuelectenerg-2763	179	21	and	and	CCONJ
fuelectenerg-2763	179	22	m	m	PROPN
fuelectenerg-2763	179	23	.	.	PUNCT
fuelectenerg-2763	180	1	thus	thus	ADV
fuelectenerg-2763	180	2	,	,	PUNCT
fuelectenerg-2763	180	3	the	the	DET
fuelectenerg-2763	180	4	probability	probability	NOUN
fuelectenerg-2763	180	5	is	be	AUX
fuelectenerg-2763	180	6	derived	derive	VERB
fuelectenerg-2763	180	7	to	to	PART
fuelectenerg-2763	180	8	be	be	AUX
fuelectenerg-2763	180	9	⁄	⁄	PROPN
fuelectenerg-2763	180	10	,	,	PUNCT
fuelectenerg-2763	180	11	which	which	PRON
fuelectenerg-2763	180	12	is	be	AUX
fuelectenerg-2763	180	13	significantly	significantly	ADV
fuelectenerg-2763	180	14	less	less	ADJ
fuelectenerg-2763	180	15	than	than	ADP
fuelectenerg-2763	180	16	.	.	PUNCT
fuelectenerg-2763	181	1	468	468	NUM
fuelectenerg-2763	181	2	p.	p.	NOUN
fuelectenerg-2763	181	3	siddavaatam	siddavaatam	NOUN
fuelectenerg-2763	181	4	,	,	PUNCT
fuelectenerg-2763	181	5	r.	r.	X
fuelectenerg-2763	181	6	sedaghat	sedaghat	PROPN
fuelectenerg-2763	181	7	4.5	4.5	NUM
fuelectenerg-2763	181	8	.	.	PUNCT
fuelectenerg-2763	182	1	complexity	complexity	NOUN
fuelectenerg-2763	182	2	of	of	ADP
fuelectenerg-2763	182	3	solving	solve	VERB
fuelectenerg-2763	182	4	the	the	DET
fuelectenerg-2763	182	5	new	new	ADJ
fuelectenerg-2763	182	6	design	design	NOUN
fuelectenerg-2763	182	7	to	to	PART
fuelectenerg-2763	182	8	evaluate	evaluate	VERB
fuelectenerg-2763	182	9	the	the	DET
fuelectenerg-2763	182	10	complexity	complexity	NOUN
fuelectenerg-2763	182	11	of	of	ADP
fuelectenerg-2763	182	12	solving	solve	VERB
fuelectenerg-2763	182	13	the	the	DET
fuelectenerg-2763	182	14	new	new	ADJ
fuelectenerg-2763	182	15	design	design	NOUN
fuelectenerg-2763	182	16	under	under	ADP
fuelectenerg-2763	182	17	algebraic	algebraic	ADJ
fuelectenerg-2763	182	18	attack	attack	NOUN
fuelectenerg-2763	182	19	,	,	PUNCT
fuelectenerg-2763	182	20	the	the	DET
fuelectenerg-2763	182	21	algebraic	algebraic	ADJ
fuelectenerg-2763	182	22	degree	degree	NOUN
fuelectenerg-2763	182	23	needs	need	VERB
fuelectenerg-2763	182	24	to	to	PART
fuelectenerg-2763	182	25	be	be	AUX
fuelectenerg-2763	182	26	understood	understand	VERB
fuelectenerg-2763	182	27	.	.	PUNCT
fuelectenerg-2763	183	1	the	the	DET
fuelectenerg-2763	183	2	algebraic	algebraic	ADJ
fuelectenerg-2763	183	3	degree	degree	NOUN
fuelectenerg-2763	183	4	can	can	AUX
fuelectenerg-2763	183	5	be	be	AUX
fuelectenerg-2763	183	6	obtained	obtain	VERB
fuelectenerg-2763	183	7	by	by	ADP
fuelectenerg-2763	183	8	expressing	express	VERB
fuelectenerg-2763	183	9	the	the	DET
fuelectenerg-2763	183	10	new	new	ADJ
fuelectenerg-2763	183	11	design	design	NOUN
fuelectenerg-2763	183	12	in	in	ADP
fuelectenerg-2763	183	13	its	its	PRON
fuelectenerg-2763	183	14	algebraic	algebraic	ADJ
fuelectenerg-2763	183	15	normal	normal	ADJ
fuelectenerg-2763	183	16	form	form	NOUN
fuelectenerg-2763	183	17	(	(	PUNCT
fuelectenerg-2763	183	18	anf	anf	NOUN
fuelectenerg-2763	183	19	)	)	PUNCT
fuelectenerg-2763	183	20	,	,	PUNCT
fuelectenerg-2763	183	21	which	which	PRON
fuelectenerg-2763	183	22	describes	describe	VERB
fuelectenerg-2763	183	23	a	a	DET
fuelectenerg-2763	183	24	boolean	boolean	ADJ
fuelectenerg-2763	183	25	function	function	NOUN
fuelectenerg-2763	183	26	using	use	VERB
fuelectenerg-2763	183	27	logic	logic	NOUN
fuelectenerg-2763	183	28	xor	xor	PROPN
fuelectenerg-2763	183	29	gates	gates	PROPN
fuelectenerg-2763	183	30	[	[	X
fuelectenerg-2763	183	31	25	25	NUM
fuelectenerg-2763	183	32	]	]	PUNCT
fuelectenerg-2763	183	33	.	.	PUNCT
fuelectenerg-2763	184	1	the	the	DET
fuelectenerg-2763	184	2	algebraic	algebraic	ADJ
fuelectenerg-2763	184	3	degree	degree	NOUN
fuelectenerg-2763	184	4	of	of	ADP
fuelectenerg-2763	184	5	each	each	DET
fuelectenerg-2763	184	6	component	component	NOUN
fuelectenerg-2763	184	7	is	be	AUX
fuelectenerg-2763	184	8	first	first	ADV
fuelectenerg-2763	184	9	studied	study	VERB
fuelectenerg-2763	184	10	and	and	CCONJ
fuelectenerg-2763	184	11	then	then	ADV
fuelectenerg-2763	184	12	the	the	DET
fuelectenerg-2763	184	13	degree	degree	NOUN
fuelectenerg-2763	184	14	of	of	ADP
fuelectenerg-2763	184	15	the	the	DET
fuelectenerg-2763	184	16	whole	whole	ADJ
fuelectenerg-2763	184	17	design	design	NOUN
fuelectenerg-2763	184	18	is	be	AUX
fuelectenerg-2763	184	19	considered	consider	VERB
fuelectenerg-2763	184	20	.	.	PUNCT
fuelectenerg-2763	185	1	4.5.1	4.5.1	X
fuelectenerg-2763	185	2	.	.	PUNCT
fuelectenerg-2763	186	1	algebraic	algebraic	ADJ
fuelectenerg-2763	186	2	degree	degree	NOUN
fuelectenerg-2763	186	3	of	of	ADP
fuelectenerg-2763	186	4	input	input	NOUN
fuelectenerg-2763	186	5	expansion	expansion	NOUN
fuelectenerg-2763	186	6	the	the	DET
fuelectenerg-2763	186	7	algebraic	algebraic	ADJ
fuelectenerg-2763	186	8	degree	degree	NOUN
fuelectenerg-2763	186	9	is	be	AUX
fuelectenerg-2763	186	10	the	the	DET
fuelectenerg-2763	186	11	monomial	monomial	NOUN
fuelectenerg-2763	186	12	with	with	ADP
fuelectenerg-2763	186	13	the	the	DET
fuelectenerg-2763	186	14	largest	large	ADJ
fuelectenerg-2763	186	15	degree	degree	NOUN
fuelectenerg-2763	186	16	in	in	ADP
fuelectenerg-2763	186	17	the	the	DET
fuelectenerg-2763	186	18	algebraic	algebraic	ADJ
fuelectenerg-2763	186	19	normal	normal	ADJ
fuelectenerg-2763	186	20	form	form	NOUN
fuelectenerg-2763	186	21	.	.	PUNCT
fuelectenerg-2763	187	1	for	for	ADP
fuelectenerg-2763	187	2	the	the	DET
fuelectenerg-2763	187	3	input	input	NOUN
fuelectenerg-2763	187	4	expansion	expansion	NOUN
fuelectenerg-2763	187	5	function	function	NOUN
fuelectenerg-2763	187	6	,	,	PUNCT
fuelectenerg-2763	187	7	each	each	DET
fuelectenerg-2763	187	8	expanded	expand	VERB
fuelectenerg-2763	187	9	variable	variable	NOUN
fuelectenerg-2763	187	10	can	can	AUX
fuelectenerg-2763	187	11	be	be	AUX
fuelectenerg-2763	187	12	expressed	express	VERB
fuelectenerg-2763	187	13	in	in	ADP
fuelectenerg-2763	187	14	the	the	DET
fuelectenerg-2763	187	15	anf	anf	NOUN
fuelectenerg-2763	187	16	by	by	ADP
fuelectenerg-2763	187	17	considering	consider	VERB
fuelectenerg-2763	187	18	itself	itself	PRON
fuelectenerg-2763	187	19	as	as	ADP
fuelectenerg-2763	187	20	a	a	DET
fuelectenerg-2763	187	21	boolean	boolean	ADJ
fuelectenerg-2763	187	22	function	function	NOUN
fuelectenerg-2763	187	23	.	.	PUNCT
fuelectenerg-2763	188	1	intuitively	intuitively	ADV
fuelectenerg-2763	188	2	,	,	PUNCT
fuelectenerg-2763	188	3	the	the	DET
fuelectenerg-2763	188	4	value	value	NOUN
fuelectenerg-2763	188	5	of	of	ADP
fuelectenerg-2763	188	6	the	the	DET
fuelectenerg-2763	188	7	expanded	expand	VERB
fuelectenerg-2763	188	8	variable	variable	NOUN
fuelectenerg-2763	188	9	is	be	AUX
fuelectenerg-2763	188	10	a	a	DET
fuelectenerg-2763	188	11	manipulation	manipulation	NOUN
fuelectenerg-2763	188	12	of	of	ADP
fuelectenerg-2763	188	13	the	the	DET
fuelectenerg-2763	188	14	original	original	ADJ
fuelectenerg-2763	188	15	input	input	NOUN
fuelectenerg-2763	188	16	value	value	NOUN
fuelectenerg-2763	188	17	based	base	VERB
fuelectenerg-2763	188	18	on	on	ADP
fuelectenerg-2763	188	19	the	the	DET
fuelectenerg-2763	188	20	value	value	NOUN
fuelectenerg-2763	188	21	of	of	ADP
fuelectenerg-2763	188	22	the	the	DET
fuelectenerg-2763	188	23	userdefined	userdefined	ADJ
fuelectenerg-2763	188	24	parameter	parameter	NOUN
fuelectenerg-2763	188	25	m.	m.	NOUN
fuelectenerg-2763	188	26	from	from	ADP
fuelectenerg-2763	188	27	the	the	DET
fuelectenerg-2763	188	28	two	two	NUM
fuelectenerg-2763	188	29	examples	example	NOUN
fuelectenerg-2763	188	30	given	give	VERB
fuelectenerg-2763	188	31	in	in	ADP
fuelectenerg-2763	188	32	the	the	DET
fuelectenerg-2763	188	33	table	table	NOUN
fuelectenerg-2763	188	34	1	1	NUM
fuelectenerg-2763	188	35	,	,	PUNCT
fuelectenerg-2763	188	36	it	it	PRON
fuelectenerg-2763	188	37	can	can	AUX
fuelectenerg-2763	188	38	be	be	AUX
fuelectenerg-2763	188	39	observed	observe	VERB
fuelectenerg-2763	188	40	that	that	SCONJ
fuelectenerg-2763	188	41	the	the	DET
fuelectenerg-2763	188	42	algebraic	algebraic	ADJ
fuelectenerg-2763	188	43	degree	degree	NOUN
fuelectenerg-2763	188	44	directly	directly	ADV
fuelectenerg-2763	188	45	relates	relate	VERB
fuelectenerg-2763	188	46	to	to	ADP
fuelectenerg-2763	188	47	the	the	DET
fuelectenerg-2763	188	48	value	value	NOUN
fuelectenerg-2763	188	49	of	of	ADP
fuelectenerg-2763	188	50	user	user	NOUN
fuelectenerg-2763	188	51	-	-	PUNCT
fuelectenerg-2763	188	52	defined	define	VERB
fuelectenerg-2763	188	53	parameter	parameter	NOUN
fuelectenerg-2763	188	54	m.	m.	NOUN
fuelectenerg-2763	188	55	the	the	DET
fuelectenerg-2763	188	56	table	table	NOUN
fuelectenerg-2763	188	57	1	1	NUM
fuelectenerg-2763	188	58	also	also	ADV
fuelectenerg-2763	188	59	provides	provide	VERB
fuelectenerg-2763	188	60	a	a	DET
fuelectenerg-2763	188	61	comparison	comparison	NOUN
fuelectenerg-2763	188	62	summary	summary	NOUN
fuelectenerg-2763	188	63	of	of	ADP
fuelectenerg-2763	188	64	the	the	DET
fuelectenerg-2763	188	65	algebraic	algebraic	ADJ
fuelectenerg-2763	188	66	degree	degree	NOUN
fuelectenerg-2763	188	67	of	of	ADP
fuelectenerg-2763	188	68	the	the	DET
fuelectenerg-2763	188	69	input	input	NOUN
fuelectenerg-2763	188	70	variables	variable	NOUN
fuelectenerg-2763	188	71	going	go	VERB
fuelectenerg-2763	188	72	into	into	ADP
fuelectenerg-2763	188	73	a	a	DET
fuelectenerg-2763	188	74	traditional	traditional	ADJ
fuelectenerg-2763	188	75	modulo	modulo	NOUN
fuelectenerg-2763	188	76	addition	addition	NOUN
fuelectenerg-2763	188	77	and	and	CCONJ
fuelectenerg-2763	188	78	the	the	DET
fuelectenerg-2763	188	79	modulo	modulo	NOUN
fuelectenerg-2763	188	80	addition	addition	NOUN
fuelectenerg-2763	188	81	component	component	NOUN
fuelectenerg-2763	188	82	in	in	ADP
fuelectenerg-2763	188	83	the	the	DET
fuelectenerg-2763	188	84	new	new	ADJ
fuelectenerg-2763	188	85	design	design	NOUN
fuelectenerg-2763	188	86	.	.	PUNCT
fuelectenerg-2763	189	1	table	table	NOUN
fuelectenerg-2763	189	2	1	1	NUM
fuelectenerg-2763	189	3	anf	anf	NOUN
fuelectenerg-2763	189	4	of	of	ADP
fuelectenerg-2763	189	5	input	input	NOUN
fuelectenerg-2763	189	6	expansion	expansion	NOUN
fuelectenerg-2763	189	7	function	function	NOUN
fuelectenerg-2763	189	8	when	when	SCONJ
fuelectenerg-2763	189	9	m	m	VERB
fuelectenerg-2763	189	10	=	=	SYM
fuelectenerg-2763	189	11	2	2	NUM
fuelectenerg-2763	189	12	xi	xi	NUM
fuelectenerg-2763	189	13	anf	anf	VERB
fuelectenerg-2763	189	14	algebraic	algebraic	PROPN
fuelectenerg-2763	189	15	degree	degree	NOUN
fuelectenerg-2763	189	16	x′i0	x′i0	PROPN
fuelectenerg-2763	189	17	kix1	kix1	PROPN
fuelectenerg-2763	189	18	kix0	kix0	PROPN
fuelectenerg-2763	189	19	kix1kix0	kix1kix0	PROPN
fuelectenerg-2763	189	20	xi	xi	ADP
fuelectenerg-2763	189	21	2	2	NUM
fuelectenerg-2763	189	22	x′i1	x′i1	SYM
fuelectenerg-2763	189	23	1	1	NUM
fuelectenerg-2763	189	24	kix0	kix0	PROPN
fuelectenerg-2763	189	25	kix1kix0	kix1kix0	PROPN
fuelectenerg-2763	189	26	xi	xi	ADP
fuelectenerg-2763	189	27	2	2	NUM
fuelectenerg-2763	189	28	x′i2	x′i2	PROPN
fuelectenerg-2763	189	29	1	1	NUM
fuelectenerg-2763	189	30	kix1	kix1	NOUN
fuelectenerg-2763	189	31	kix1kix0	kix1kix0	PROPN
fuelectenerg-2763	189	32	xi	xi	ADP
fuelectenerg-2763	189	33	2	2	NUM
fuelectenerg-2763	189	34	x′i3	x′i3	PROPN
fuelectenerg-2763	189	35	1	1	NUM
fuelectenerg-2763	189	36	kix1kix0	kix1kix0	PROPN
fuelectenerg-2763	189	37	xi	xi	ADP
fuelectenerg-2763	189	38	2	2	NUM
fuelectenerg-2763	189	39	anf	anf	NOUN
fuelectenerg-2763	189	40	of	of	ADP
fuelectenerg-2763	189	41	input	input	NOUN
fuelectenerg-2763	189	42	expansion	expansion	NOUN
fuelectenerg-2763	189	43	function	function	NOUN
fuelectenerg-2763	189	44	when	when	SCONJ
fuelectenerg-2763	189	45	m	m	VERB
fuelectenerg-2763	189	46	=	=	SYM
fuelectenerg-2763	189	47	3	3	X
fuelectenerg-2763	189	48	xi	xi	NUM
fuelectenerg-2763	189	49	anf	anf	VERB
fuelectenerg-2763	189	50	algebraic	algebraic	PROPN
fuelectenerg-2763	189	51	degree	degree	NOUN
fuelectenerg-2763	189	52	x′i0	x′i0	PROPN
fuelectenerg-2763	189	53	kix0	kix0	PROPN
fuelectenerg-2763	189	54	kix1	kix1	PROPN
fuelectenerg-2763	189	55	kix1kix0	kix1kix0	PROPN
fuelectenerg-2763	189	56	kix2	kix2	PROPN
fuelectenerg-2763	189	57	kix2kix0	kix2kix0	PROPN
fuelectenerg-2763	189	58	kix2kix1	kix2kix1	PROPN
fuelectenerg-2763	189	59	kix2kix1kix0	kix2kix1kix0	PROPN
fuelectenerg-2763	189	60	xi	xi	ADP
fuelectenerg-2763	189	61	3	3	NUM
fuelectenerg-2763	189	62	x′i1	x′i1	PROPN
fuelectenerg-2763	189	63	1	1	NUM
fuelectenerg-2763	189	64	kix0	kix0	PROPN
fuelectenerg-2763	189	65	kix1kix0	kix1kix0	PROPN
fuelectenerg-2763	189	66	kix2kix0	kix2kix0	PROPN
fuelectenerg-2763	189	67	kix2kix1kix0	kix2kix1kix0	PROPN
fuelectenerg-2763	189	68	xi	xi	ADP
fuelectenerg-2763	189	69	3	3	NUM
fuelectenerg-2763	189	70	x′i2	x′i2	PROPN
fuelectenerg-2763	189	71	1	1	NUM
fuelectenerg-2763	189	72	kix1	kix1	NOUN
fuelectenerg-2763	189	73	kix1kix0	kix1kix0	PROPN
fuelectenerg-2763	189	74	kix2kix1	kix2kix1	PROPN
fuelectenerg-2763	189	75	kix2kix1kix0	kix2kix1kix0	PROPN
fuelectenerg-2763	189	76	xi	xi	ADP
fuelectenerg-2763	189	77	3	3	NUM
fuelectenerg-2763	189	78	x′i3	x′i3	PROPN
fuelectenerg-2763	189	79	1	1	NUM
fuelectenerg-2763	189	80	kix1kix0	kix1kix0	PROPN
fuelectenerg-2763	189	81	kix2kix1kix0	kix2kix1kix0	NOUN
fuelectenerg-2763	189	82	xi	xi	ADP
fuelectenerg-2763	189	83	3	3	NUM
fuelectenerg-2763	189	84	x′i4	x′i4	PROPN
fuelectenerg-2763	189	85	1	1	NUM
fuelectenerg-2763	189	86	kix2	kix2	PROPN
fuelectenerg-2763	189	87	kix2kix0	kix2kix0	PROPN
fuelectenerg-2763	189	88	kix2kix1	kix2kix1	PROPN
fuelectenerg-2763	189	89	kix2kix1kix0	kix2kix1kix0	PROPN
fuelectenerg-2763	189	90	xi	xi	ADP
fuelectenerg-2763	189	91	3	3	NUM
fuelectenerg-2763	189	92	x′i5	x′i5	PROPN
fuelectenerg-2763	189	93	1	1	NUM
fuelectenerg-2763	189	94	kix2kix0	kix2kix0	PROPN
fuelectenerg-2763	189	95	kix2kix1kix0	kix2kix1kix0	NOUN
fuelectenerg-2763	189	96	xi	xi	ADP
fuelectenerg-2763	189	97	3	3	NUM
fuelectenerg-2763	189	98	x′i6	x′i6	PROPN
fuelectenerg-2763	189	99	1	1	NUM
fuelectenerg-2763	189	100	kix2kix1	kix2kix1	NOUN
fuelectenerg-2763	189	101	kix2kix1kix0	kix2kix1kix0	NOUN
fuelectenerg-2763	189	102	xi	xi	ADP
fuelectenerg-2763	189	103	3	3	NUM
fuelectenerg-2763	189	104	x′i7	x′i7	PROPN
fuelectenerg-2763	189	105	1	1	NUM
fuelectenerg-2763	189	106	kix2kix1kix0	kix2kix1kix0	NOUN
fuelectenerg-2763	189	107	xi	xi	ADP
fuelectenerg-2763	189	108	3	3	NUM
fuelectenerg-2763	189	109	comparison	comparison	NOUN
fuelectenerg-2763	189	110	of	of	ADP
fuelectenerg-2763	189	111	input	input	NOUN
fuelectenerg-2763	189	112	algebraic	algebraic	ADJ
fuelectenerg-2763	189	113	degrees	degree	NOUN
fuelectenerg-2763	189	114	input	input	NOUN
fuelectenerg-2763	189	115	to	to	ADP
fuelectenerg-2763	189	116	traditional	traditional	ADJ
fuelectenerg-2763	189	117	modulo	modulo	NOUN
fuelectenerg-2763	189	118	addition	addition	NOUN
fuelectenerg-2763	189	119	input	input	NOUN
fuelectenerg-2763	189	120	to	to	AUX
fuelectenerg-2763	189	121	modulo	modulo	VERB
fuelectenerg-2763	189	122	addition	addition	NOUN
fuelectenerg-2763	189	123	in	in	ADP
fuelectenerg-2763	189	124	the	the	DET
fuelectenerg-2763	189	125	new	new	ADJ
fuelectenerg-2763	189	126	design	design	NOUN
fuelectenerg-2763	189	127	algebraic	algebraic	ADJ
fuelectenerg-2763	189	128	degree	degree	NOUN
fuelectenerg-2763	189	129	1	1	NUM
fuelectenerg-2763	189	130	m	m	NOUN
fuelectenerg-2763	189	131	a	a	DET
fuelectenerg-2763	189	132	novel	novel	ADJ
fuelectenerg-2763	189	133	architecture	architecture	NOUN
fuelectenerg-2763	189	134	with	with	ADP
fuelectenerg-2763	189	135	scalable	scalable	ADJ
fuelectenerg-2763	189	136	security	security	NOUN
fuelectenerg-2763	189	137	having	have	VERB
fuelectenerg-2763	189	138	expandable	expandable	ADJ
fuelectenerg-2763	189	139	computational	computational	ADJ
fuelectenerg-2763	189	140	complexity	complexity	NOUN
fuelectenerg-2763	189	141	469	469	NUM
fuelectenerg-2763	189	142	4.5.2	4.5.2	NUM
fuelectenerg-2763	189	143	.	.	PUNCT
fuelectenerg-2763	190	1	algebraic	algebraic	ADJ
fuelectenerg-2763	190	2	degree	degree	NOUN
fuelectenerg-2763	190	3	of	of	ADP
fuelectenerg-2763	190	4	modulo	modulo	ADJ
fuelectenerg-2763	190	5	addition	addition	NOUN
fuelectenerg-2763	190	6	the	the	DET
fuelectenerg-2763	190	7	algebraic	algebraic	ADJ
fuelectenerg-2763	190	8	degree	degree	NOUN
fuelectenerg-2763	190	9	of	of	ADP
fuelectenerg-2763	190	10	the	the	DET
fuelectenerg-2763	190	11	modulo	modulo	PROPN
fuelectenerg-2763	190	12	addition	addition	NOUN
fuelectenerg-2763	190	13	component	component	NOUN
fuelectenerg-2763	190	14	can	can	AUX
fuelectenerg-2763	190	15	be	be	AUX
fuelectenerg-2763	190	16	evaluated	evaluate	VERB
fuelectenerg-2763	190	17	using	use	VERB
fuelectenerg-2763	190	18	(	(	PUNCT
fuelectenerg-2763	190	19	8)	8)	NUM
fuelectenerg-2763	190	20	or	or	CCONJ
fuelectenerg-2763	190	21	(	(	PUNCT
fuelectenerg-2763	190	22	5	5	NUM
fuelectenerg-2763	190	23	)	)	PUNCT
fuelectenerg-2763	190	24	and	and	CCONJ
fuelectenerg-2763	190	25	(	(	PUNCT
fuelectenerg-2763	190	26	6	6	NUM
fuelectenerg-2763	190	27	)	)	PUNCT
fuelectenerg-2763	190	28	.	.	PUNCT
fuelectenerg-2763	191	1	equation	equation	NOUN
fuelectenerg-2763	191	2	(	(	PUNCT
fuelectenerg-2763	191	3	8)	8)	NUM
fuelectenerg-2763	191	4	limits	limit	VERB
fuelectenerg-2763	191	5	the	the	DET
fuelectenerg-2763	191	6	algebraic	algebraic	ADJ
fuelectenerg-2763	191	7	degree	degree	NOUN
fuelectenerg-2763	191	8	to	to	ADP
fuelectenerg-2763	191	9	quadratic	quadratic	ADJ
fuelectenerg-2763	191	10	in	in	ADP
fuelectenerg-2763	191	11	the	the	DET
fuelectenerg-2763	191	12	original	original	ADJ
fuelectenerg-2763	191	13	modulo	modulo	NOUN
fuelectenerg-2763	191	14	addition	addition	NOUN
fuelectenerg-2763	191	15	by	by	ADP
fuelectenerg-2763	191	16	utilizing	utilize	VERB
fuelectenerg-2763	191	17	the	the	DET
fuelectenerg-2763	191	18	output	output	NOUN
fuelectenerg-2763	191	19	variables	variable	NOUN
fuelectenerg-2763	191	20	.	.	PUNCT
fuelectenerg-2763	192	1	this	this	PRON
fuelectenerg-2763	192	2	is	be	AUX
fuelectenerg-2763	192	3	under	under	ADP
fuelectenerg-2763	192	4	the	the	DET
fuelectenerg-2763	192	5	assumption	assumption	NOUN
fuelectenerg-2763	192	6	that	that	SCONJ
fuelectenerg-2763	192	7	the	the	DET
fuelectenerg-2763	192	8	output	output	NOUN
fuelectenerg-2763	192	9	is	be	AUX
fuelectenerg-2763	192	10	observable	observable	ADJ
fuelectenerg-2763	192	11	.	.	PUNCT
fuelectenerg-2763	193	1	in	in	ADP
fuelectenerg-2763	193	2	the	the	DET
fuelectenerg-2763	193	3	new	new	ADJ
fuelectenerg-2763	193	4	design	design	NOUN
fuelectenerg-2763	193	5	,	,	PUNCT
fuelectenerg-2763	193	6	the	the	DET
fuelectenerg-2763	193	7	output	output	NOUN
fuelectenerg-2763	193	8	variables	variable	NOUN
fuelectenerg-2763	193	9	of	of	ADP
fuelectenerg-2763	193	10	the	the	DET
fuelectenerg-2763	193	11	modulo	modulo	NOUN
fuelectenerg-2763	193	12	addition	addition	NOUN
fuelectenerg-2763	193	13	component	component	NOUN
fuelectenerg-2763	193	14	may	may	AUX
fuelectenerg-2763	193	15	not	not	PART
fuelectenerg-2763	193	16	be	be	AUX
fuelectenerg-2763	193	17	observable	observable	ADJ
fuelectenerg-2763	193	18	;	;	PUNCT
fuelectenerg-2763	193	19	however	however	ADV
fuelectenerg-2763	193	20	,	,	PUNCT
fuelectenerg-2763	193	21	it	it	PRON
fuelectenerg-2763	193	22	is	be	AUX
fuelectenerg-2763	193	23	possible	possible	ADJ
fuelectenerg-2763	193	24	to	to	PART
fuelectenerg-2763	193	25	define	define	VERB
fuelectenerg-2763	193	26	them	they	PRON
fuelectenerg-2763	193	27	as	as	ADP
fuelectenerg-2763	193	28	additional	additional	ADJ
fuelectenerg-2763	193	29	variables	variable	NOUN
fuelectenerg-2763	193	30	so	so	SCONJ
fuelectenerg-2763	193	31	that	that	SCONJ
fuelectenerg-2763	193	32	the	the	DET
fuelectenerg-2763	193	33	algebraic	algebraic	ADJ
fuelectenerg-2763	193	34	degree	degree	NOUN
fuelectenerg-2763	193	35	of	of	ADP
fuelectenerg-2763	193	36	the	the	DET
fuelectenerg-2763	193	37	expression	expression	NOUN
fuelectenerg-2763	193	38	can	can	AUX
fuelectenerg-2763	193	39	be	be	AUX
fuelectenerg-2763	193	40	reduced	reduce	VERB
fuelectenerg-2763	193	41	.	.	PUNCT
fuelectenerg-2763	194	1	the	the	DET
fuelectenerg-2763	194	2	drawback	drawback	NOUN
fuelectenerg-2763	194	3	of	of	ADP
fuelectenerg-2763	194	4	this	this	DET
fuelectenerg-2763	194	5	method	method	NOUN
fuelectenerg-2763	194	6	is	be	AUX
fuelectenerg-2763	194	7	that	that	SCONJ
fuelectenerg-2763	194	8	the	the	DET
fuelectenerg-2763	194	9	number	number	NOUN
fuelectenerg-2763	194	10	of	of	ADP
fuelectenerg-2763	194	11	variables	variable	NOUN
fuelectenerg-2763	194	12	used	use	VERB
fuelectenerg-2763	194	13	to	to	PART
fuelectenerg-2763	194	14	solve	solve	VERB
fuelectenerg-2763	194	15	the	the	DET
fuelectenerg-2763	194	16	set	set	NOUN
fuelectenerg-2763	194	17	of	of	ADP
fuelectenerg-2763	194	18	equations	equation	NOUN
fuelectenerg-2763	194	19	has	have	AUX
fuelectenerg-2763	194	20	increased	increase	VERB
fuelectenerg-2763	194	21	.	.	PUNCT
fuelectenerg-2763	195	1	assuming	assume	VERB
fuelectenerg-2763	195	2	that	that	SCONJ
fuelectenerg-2763	195	3	additional	additional	ADJ
fuelectenerg-2763	195	4	variables	variable	NOUN
fuelectenerg-2763	195	5	are	be	AUX
fuelectenerg-2763	195	6	used	use	VERB
fuelectenerg-2763	195	7	,	,	PUNCT
fuelectenerg-2763	195	8	the	the	DET
fuelectenerg-2763	195	9	algebraic	algebraic	ADJ
fuelectenerg-2763	195	10	degree	degree	NOUN
fuelectenerg-2763	195	11	of	of	ADP
fuelectenerg-2763	195	12	the	the	DET
fuelectenerg-2763	195	13	modulo	modulo	NOUN
fuelectenerg-2763	195	14	addition	addition	NOUN
fuelectenerg-2763	195	15	component	component	NOUN
fuelectenerg-2763	195	16	is	be	AUX
fuelectenerg-2763	195	17	at	at	ADP
fuelectenerg-2763	195	18	most	most	ADJ
fuelectenerg-2763	195	19	2	2	NUM
fuelectenerg-2763	195	20	m.	m.	NOUN
fuelectenerg-2763	195	21	this	this	PRON
fuelectenerg-2763	195	22	is	be	AUX
fuelectenerg-2763	195	23	because	because	SCONJ
fuelectenerg-2763	195	24	each	each	DET
fuelectenerg-2763	195	25	input	input	NOUN
fuelectenerg-2763	195	26	variable	variable	NOUN
fuelectenerg-2763	195	27	now	now	ADV
fuelectenerg-2763	195	28	has	have	VERB
fuelectenerg-2763	195	29	a	a	DET
fuelectenerg-2763	195	30	degree	degree	NOUN
fuelectenerg-2763	195	31	of	of	ADP
fuelectenerg-2763	195	32	m	m	PROPN
fuelectenerg-2763	195	33	and	and	CCONJ
fuelectenerg-2763	195	34	the	the	DET
fuelectenerg-2763	195	35	largest	large	ADJ
fuelectenerg-2763	195	36	degree	degree	NOUN
fuelectenerg-2763	195	37	is	be	AUX
fuelectenerg-2763	195	38	quadratic	quadratic	ADJ
fuelectenerg-2763	195	39	using	using	NOUN
fuelectenerg-2763	195	40	(	(	PUNCT
fuelectenerg-2763	195	41	8)	8)	NUM
fuelectenerg-2763	195	42	.	.	PUNCT
fuelectenerg-2763	196	1	at	at	ADP
fuelectenerg-2763	196	2	this	this	DET
fuelectenerg-2763	196	3	point	point	NOUN
fuelectenerg-2763	196	4	,	,	PUNCT
fuelectenerg-2763	196	5	it	it	PRON
fuelectenerg-2763	196	6	can	can	AUX
fuelectenerg-2763	196	7	be	be	AUX
fuelectenerg-2763	196	8	observed	observe	VERB
fuelectenerg-2763	196	9	that	that	SCONJ
fuelectenerg-2763	196	10	the	the	DET
fuelectenerg-2763	196	11	algebraic	algebraic	ADJ
fuelectenerg-2763	196	12	degree	degree	NOUN
fuelectenerg-2763	196	13	has	have	AUX
fuelectenerg-2763	196	14	already	already	ADV
fuelectenerg-2763	196	15	increased	increase	VERB
fuelectenerg-2763	196	16	by	by	ADP
fuelectenerg-2763	196	17	the	the	DET
fuelectenerg-2763	196	18	user	user	NOUN
fuelectenerg-2763	196	19	-	-	PUNCT
fuelectenerg-2763	196	20	defined	define	VERB
fuelectenerg-2763	196	21	parameter	parameter	NOUN
fuelectenerg-2763	196	22	m.	m.	NOUN
fuelectenerg-2763	196	23	in	in	ADP
fuelectenerg-2763	196	24	addition	addition	NOUN
fuelectenerg-2763	196	25	,	,	PUNCT
fuelectenerg-2763	196	26	it	it	PRON
fuelectenerg-2763	196	27	is	be	AUX
fuelectenerg-2763	196	28	possible	possible	ADJ
fuelectenerg-2763	196	29	to	to	PART
fuelectenerg-2763	196	30	express	express	VERB
fuelectenerg-2763	196	31	the	the	DET
fuelectenerg-2763	196	32	modulo	modulo	NOUN
fuelectenerg-2763	196	33	addition	addition	NOUN
fuelectenerg-2763	196	34	using	use	VERB
fuelectenerg-2763	196	35	(	(	PUNCT
fuelectenerg-2763	196	36	5	5	NUM
fuelectenerg-2763	196	37	)	)	PUNCT
fuelectenerg-2763	196	38	and	and	CCONJ
fuelectenerg-2763	196	39	(	(	PUNCT
fuelectenerg-2763	196	40	6	6	NUM
fuelectenerg-2763	196	41	)	)	PUNCT
fuelectenerg-2763	196	42	,	,	PUNCT
fuelectenerg-2763	196	43	and	and	CCONJ
fuelectenerg-2763	196	44	its	its	PRON
fuelectenerg-2763	196	45	algebraic	algebraic	ADJ
fuelectenerg-2763	196	46	degree	degree	NOUN
fuelectenerg-2763	196	47	is	be	AUX
fuelectenerg-2763	196	48	outlined	outline	VERB
fuelectenerg-2763	196	49	by	by	ADP
fuelectenerg-2763	196	50	(	(	PUNCT
fuelectenerg-2763	196	51	7	7	NUM
fuelectenerg-2763	196	52	)	)	PUNCT
fuelectenerg-2763	196	53	.	.	PUNCT
fuelectenerg-2763	197	1	as	as	SCONJ
fuelectenerg-2763	197	2	mentioned	mention	VERB
fuelectenerg-2763	197	3	before	before	ADV
fuelectenerg-2763	197	4	,	,	PUNCT
fuelectenerg-2763	197	5	each	each	DET
fuelectenerg-2763	197	6	input	input	NOUN
fuelectenerg-2763	197	7	variable	variable	NOUN
fuelectenerg-2763	197	8	now	now	ADV
fuelectenerg-2763	197	9	has	have	VERB
fuelectenerg-2763	197	10	a	a	DET
fuelectenerg-2763	197	11	degree	degree	NOUN
fuelectenerg-2763	197	12	of	of	ADP
fuelectenerg-2763	197	13	m.	m.	NOUN
fuelectenerg-2763	197	14	the	the	DET
fuelectenerg-2763	197	15	lsb	lsb	PROPN
fuelectenerg-2763	197	16	of	of	ADP
fuelectenerg-2763	197	17	the	the	DET
fuelectenerg-2763	197	18	addition	addition	NOUN
fuelectenerg-2763	197	19	then	then	ADV
fuelectenerg-2763	197	20	has	have	AUX
fuelectenerg-2763	197	21	a	a	DET
fuelectenerg-2763	197	22	degree	degree	NOUN
fuelectenerg-2763	197	23	of	of	ADP
fuelectenerg-2763	197	24	m	m	PROPN
fuelectenerg-2763	197	25	and	and	CCONJ
fuelectenerg-2763	197	26	the	the	DET
fuelectenerg-2763	197	27	rest	rest	NOUN
fuelectenerg-2763	197	28	of	of	ADP
fuelectenerg-2763	197	29	the	the	DET
fuelectenerg-2763	197	30	output	output	NOUN
fuelectenerg-2763	197	31	bits	bit	NOUN
fuelectenerg-2763	197	32	have	have	VERB
fuelectenerg-2763	197	33	a	a	DET
fuelectenerg-2763	197	34	degree	degree	NOUN
fuelectenerg-2763	197	35	of	of	ADP
fuelectenerg-2763	197	36	i	i	PROPN
fuelectenerg-2763	197	37	w	w	PROPN
fuelectenerg-2763	197	38	j	j	PROPN
fuelectenerg-2763	197	39	m.	m.	NOUN
fuelectenerg-2763	197	40	note	note	NOUN
fuelectenerg-2763	198	1	that	that	SCONJ
fuelectenerg-2763	198	2	≤	≤	NUM
fuelectenerg-2763	198	3	i	i	PRON
fuelectenerg-2763	198	4	≤	≤	NOUN
fuelectenerg-2763	198	5	n	n	CCONJ
fuelectenerg-2763	198	6	−	−	PROPN
fuelectenerg-2763	198	7	≤	≤	NUM
fuelectenerg-2763	198	8	j	j	PROPN
fuelectenerg-2763	198	9	≤	≤	ADV
fuelectenerg-2763	198	10	−	−	PROPN
fuelectenerg-2763	198	11	,	,	PUNCT
fuelectenerg-2763	198	12	and	and	CCONJ
fuelectenerg-2763	198	13	w	w	NOUN
fuelectenerg-2763	198	14	=	=	SYM
fuelectenerg-2763	198	15	2	2	NUM
fuelectenerg-2763	198	16	m	m	NOUN
fuelectenerg-2763	198	17	.	.	PUNCT
fuelectenerg-2763	199	1	the	the	DET
fuelectenerg-2763	199	2	derivation	derivation	NOUN
fuelectenerg-2763	199	3	approach	approach	NOUN
fuelectenerg-2763	199	4	is	be	AUX
fuelectenerg-2763	199	5	similar	similar	ADJ
fuelectenerg-2763	199	6	to	to	ADP
fuelectenerg-2763	199	7	what	what	PRON
fuelectenerg-2763	199	8	is	be	AUX
fuelectenerg-2763	199	9	outlined	outline	VERB
fuelectenerg-2763	199	10	in	in	ADP
fuelectenerg-2763	199	11	the	the	DET
fuelectenerg-2763	199	12	previous	previous	ADJ
fuelectenerg-2763	199	13	section	section	NOUN
fuelectenerg-2763	199	14	.	.	PUNCT
fuelectenerg-2763	200	1	the	the	DET
fuelectenerg-2763	200	2	degree	degree	NOUN
fuelectenerg-2763	200	3	of	of	ADP
fuelectenerg-2763	200	4	the	the	DET
fuelectenerg-2763	200	5	carry	carry	NOUN
fuelectenerg-2763	200	6	terms	term	NOUN
fuelectenerg-2763	200	7	increases	increase	VERB
fuelectenerg-2763	200	8	linearly	linearly	ADV
fuelectenerg-2763	200	9	according	accord	VERB
fuelectenerg-2763	200	10	to	to	ADP
fuelectenerg-2763	200	11	their	their	PRON
fuelectenerg-2763	200	12	bit	bit	NOUN
fuelectenerg-2763	200	13	positions	position	NOUN
fuelectenerg-2763	200	14	;	;	PUNCT
fuelectenerg-2763	200	15	however	however	ADV
fuelectenerg-2763	200	16	,	,	PUNCT
fuelectenerg-2763	200	17	the	the	DET
fuelectenerg-2763	200	18	degree	degree	NOUN
fuelectenerg-2763	200	19	increases	increase	VERB
fuelectenerg-2763	200	20	in	in	ADP
fuelectenerg-2763	200	21	multiples	multiple	NOUN
fuelectenerg-2763	200	22	of	of	ADP
fuelectenerg-2763	200	23	m	m	PRON
fuelectenerg-2763	200	24	because	because	SCONJ
fuelectenerg-2763	200	25	the	the	DET
fuelectenerg-2763	200	26	expanded	expand	VERB
fuelectenerg-2763	200	27	input	input	NOUN
fuelectenerg-2763	200	28	variables	variable	NOUN
fuelectenerg-2763	200	29	have	have	VERB
fuelectenerg-2763	200	30	a	a	DET
fuelectenerg-2763	200	31	degree	degree	NOUN
fuelectenerg-2763	200	32	of	of	ADP
fuelectenerg-2763	200	33	m.	m.	NOUN
fuelectenerg-2763	200	34	as	as	ADP
fuelectenerg-2763	200	35	a	a	DET
fuelectenerg-2763	200	36	result	result	NOUN
fuelectenerg-2763	200	37	,	,	PUNCT
fuelectenerg-2763	200	38	the	the	DET
fuelectenerg-2763	200	39	degree	degree	NOUN
fuelectenerg-2763	200	40	of	of	ADP
fuelectenerg-2763	200	41	z′01	z′01	PROPN
fuelectenerg-2763	200	42	is	be	AUX
fuelectenerg-2763	200	43	generated	generate	VERB
fuelectenerg-2763	200	44	by	by	ADP
fuelectenerg-2763	200	45	the	the	DET
fuelectenerg-2763	200	46	multiplication	multiplication	NOUN
fuelectenerg-2763	200	47	of	of	ADP
fuelectenerg-2763	200	48	two	two	NUM
fuelectenerg-2763	200	49	degree	degree	NOUN
fuelectenerg-2763	200	50	-	-	PUNCT
fuelectenerg-2763	200	51	m	m	NOUN
fuelectenerg-2763	200	52	variables	variable	NOUN
fuelectenerg-2763	200	53	x′00	x′00	PROPN
fuelectenerg-2763	200	54	and	and	CCONJ
fuelectenerg-2763	200	55	y′00	y′00	PROPN
fuelectenerg-2763	200	56	.	.	PUNCT
fuelectenerg-2763	201	1	the	the	DET
fuelectenerg-2763	201	2	degree	degree	NOUN
fuelectenerg-2763	201	3	of	of	ADP
fuelectenerg-2763	201	4	z′02	z′02	PROPN
fuelectenerg-2763	201	5	can	can	AUX
fuelectenerg-2763	201	6	be	be	AUX
fuelectenerg-2763	201	7	generated	generate	VERB
fuelectenerg-2763	201	8	by	by	ADP
fuelectenerg-2763	201	9	the	the	DET
fuelectenerg-2763	201	10	multiplication	multiplication	NOUN
fuelectenerg-2763	201	11	of	of	ADP
fuelectenerg-2763	201	12	x′01	x′01	PROPN
fuelectenerg-2763	201	13	,	,	PUNCT
fuelectenerg-2763	201	14	x′00	x′00	PROPN
fuelectenerg-2763	201	15	,	,	PUNCT
fuelectenerg-2763	201	16	and	and	CCONJ
fuelectenerg-2763	201	17	y′00	y′00	PROPN
fuelectenerg-2763	201	18	,	,	PUNCT
fuelectenerg-2763	201	19	or	or	CCONJ
fuelectenerg-2763	201	20	the	the	DET
fuelectenerg-2763	201	21	combination	combination	NOUN
fuelectenerg-2763	201	22	of	of	ADP
fuelectenerg-2763	201	23	y′01	y′01	NOUN
fuelectenerg-2763	201	24	,	,	PUNCT
fuelectenerg-2763	201	25	x′00	x′00	PROPN
fuelectenerg-2763	201	26	,	,	PUNCT
fuelectenerg-2763	201	27	and	and	CCONJ
fuelectenerg-2763	201	28	y′00	y′00	PROPN
fuelectenerg-2763	201	29	.	.	PUNCT
fuelectenerg-2763	202	1	the	the	DET
fuelectenerg-2763	202	2	degrees	degree	NOUN
fuelectenerg-2763	202	3	are	be	AUX
fuelectenerg-2763	202	4	2	2	NUM
fuelectenerg-2763	202	5	m	m	NOUN
fuelectenerg-2763	202	6	and	and	CCONJ
fuelectenerg-2763	202	7	3	3	NUM
fuelectenerg-2763	202	8	m.	m.	NOUN
fuelectenerg-2763	202	9	therefore	therefore	ADV
fuelectenerg-2763	202	10	,	,	PUNCT
fuelectenerg-2763	202	11	each	each	DET
fuelectenerg-2763	202	12	output	output	NOUN
fuelectenerg-2763	202	13	variable	variable	NOUN
fuelectenerg-2763	202	14	of	of	ADP
fuelectenerg-2763	202	15	the	the	DET
fuelectenerg-2763	202	16	modulo	modulo	NOUN
fuelectenerg-2763	202	17	addition	addition	NOUN
fuelectenerg-2763	202	18	,	,	PUNCT
fuelectenerg-2763	202	19	z′ij	z′ij	PROPN
fuelectenerg-2763	202	20	,	,	PUNCT
fuelectenerg-2763	202	21	has	have	VERB
fuelectenerg-2763	202	22	a	a	DET
fuelectenerg-2763	202	23	degree	degree	NOUN
fuelectenerg-2763	202	24	of	of	ADP
fuelectenerg-2763	202	25	i	i	PROPN
fuelectenerg-2763	202	26	w	w	PROPN
fuelectenerg-2763	202	27	j	j	PROPN
fuelectenerg-2763	202	28	m.	m.	NOUN
fuelectenerg-2763	202	29	a	a	DET
fuelectenerg-2763	202	30	comparison	comparison	NOUN
fuelectenerg-2763	202	31	summary	summary	NOUN
fuelectenerg-2763	202	32	of	of	ADP
fuelectenerg-2763	202	33	algebraic	algebraic	ADJ
fuelectenerg-2763	202	34	degree	degree	NOUN
fuelectenerg-2763	202	35	is	be	AUX
fuelectenerg-2763	202	36	given	give	VERB
fuelectenerg-2763	202	37	in	in	ADP
fuelectenerg-2763	202	38	table	table	NOUN
fuelectenerg-2763	202	39	2	2	NUM
fuelectenerg-2763	202	40	.	.	PUNCT
fuelectenerg-2763	203	1	at	at	ADP
fuelectenerg-2763	203	2	this	this	DET
fuelectenerg-2763	203	3	point	point	NOUN
fuelectenerg-2763	203	4	,	,	PUNCT
fuelectenerg-2763	203	5	the	the	DET
fuelectenerg-2763	203	6	effective	effective	ADJ
fuelectenerg-2763	203	7	increase	increase	NOUN
fuelectenerg-2763	203	8	of	of	ADP
fuelectenerg-2763	203	9	algebraic	algebraic	PROPN
fuelectenerg-2763	203	10	is	be	AUX
fuelectenerg-2763	203	11	m	m	VERB
fuelectenerg-2763	203	12	when	when	SCONJ
fuelectenerg-2763	203	13	compared	compare	VERB
fuelectenerg-2763	203	14	to	to	ADP
fuelectenerg-2763	203	15	the	the	DET
fuelectenerg-2763	203	16	original	original	ADJ
fuelectenerg-2763	203	17	modulo	modulo	NOUN
fuelectenerg-2763	203	18	addition	addition	NOUN
fuelectenerg-2763	203	19	.	.	PUNCT
fuelectenerg-2763	204	1	4.5.3	4.5.3	X
fuelectenerg-2763	204	2	.	.	PUNCT
fuelectenerg-2763	205	1	algebraic	algebraic	ADJ
fuelectenerg-2763	205	2	degree	degree	NOUN
fuelectenerg-2763	205	3	of	of	ADP
fuelectenerg-2763	205	4	output	output	NOUN
fuelectenerg-2763	205	5	compaction	compaction	NOUN
fuelectenerg-2763	205	6	finally	finally	ADV
fuelectenerg-2763	205	7	,	,	PUNCT
fuelectenerg-2763	205	8	the	the	DET
fuelectenerg-2763	205	9	algebraic	algebraic	ADJ
fuelectenerg-2763	205	10	degree	degree	NOUN
fuelectenerg-2763	205	11	of	of	ADP
fuelectenerg-2763	205	12	the	the	DET
fuelectenerg-2763	205	13	output	output	NOUN
fuelectenerg-2763	205	14	compaction	compaction	NOUN
fuelectenerg-2763	205	15	function	function	NOUN
fuelectenerg-2763	205	16	needs	need	VERB
fuelectenerg-2763	205	17	to	to	PART
fuelectenerg-2763	205	18	be	be	AUX
fuelectenerg-2763	205	19	determined	determine	VERB
fuelectenerg-2763	205	20	.	.	PUNCT
fuelectenerg-2763	206	1	as	as	SCONJ
fuelectenerg-2763	206	2	mentioned	mention	VERB
fuelectenerg-2763	206	3	before	before	ADV
fuelectenerg-2763	206	4	,	,	PUNCT
fuelectenerg-2763	206	5	the	the	DET
fuelectenerg-2763	206	6	function	function	NOUN
fuelectenerg-2763	206	7	is	be	AUX
fuelectenerg-2763	206	8	a	a	DET
fuelectenerg-2763	206	9	2	2	NUM
fuelectenerg-2763	206	10	m	m	NOUN
fuelectenerg-2763	206	11	:	:	PUNCT
fuelectenerg-2763	206	12	1	1	NUM
fuelectenerg-2763	206	13	logic	logic	NOUN
fuelectenerg-2763	206	14	multiplexer	multiplexer	NOUN
fuelectenerg-2763	206	15	(	(	PUNCT
fuelectenerg-2763	206	16	mux	mux	PROPN
fuelectenerg-2763	206	17	)	)	PUNCT
fuelectenerg-2763	206	18	function	function	NOUN
fuelectenerg-2763	206	19	defined	define	VERB
fuelectenerg-2763	206	20	by	by	ADP
fuelectenerg-2763	206	21	(	(	PUNCT
fuelectenerg-2763	206	22	12	12	NUM
fuelectenerg-2763	206	23	)	)	PUNCT
fuelectenerg-2763	206	24	.	.	PUNCT
fuelectenerg-2763	207	1	this	this	DET
fuelectenerg-2763	207	2	equation	equation	NOUN
fuelectenerg-2763	207	3	is	be	AUX
fuelectenerg-2763	207	4	itself	itself	PRON
fuelectenerg-2763	207	5	in	in	ADP
fuelectenerg-2763	207	6	the	the	DET
fuelectenerg-2763	207	7	algebraic	algebraic	ADJ
fuelectenerg-2763	207	8	normal	normal	ADJ
fuelectenerg-2763	207	9	form	form	NOUN
fuelectenerg-2763	207	10	.	.	PUNCT
fuelectenerg-2763	208	1	therefore	therefore	ADV
fuelectenerg-2763	208	2	,	,	PUNCT
fuelectenerg-2763	208	3	the	the	DET
fuelectenerg-2763	208	4	degree	degree	NOUN
fuelectenerg-2763	208	5	can	can	AUX
fuelectenerg-2763	208	6	be	be	AUX
fuelectenerg-2763	208	7	determined	determine	VERB
fuelectenerg-2763	208	8	simply	simply	ADV
fuelectenerg-2763	208	9	by	by	ADP
fuelectenerg-2763	208	10	observing	observe	VERB
fuelectenerg-2763	208	11	(	(	PUNCT
fuelectenerg-2763	208	12	12	12	NUM
fuelectenerg-2763	208	13	)	)	PUNCT
fuelectenerg-2763	208	14	.	.	PUNCT
fuelectenerg-2763	209	1	the	the	DET
fuelectenerg-2763	209	2	degree	degree	NOUN
fuelectenerg-2763	209	3	is	be	AUX
fuelectenerg-2763	209	4	m	m	VERB
fuelectenerg-2763	209	5	+	+	ADJ
fuelectenerg-2763	209	6	1	1	NUM
fuelectenerg-2763	209	7	because	because	SCONJ
fuelectenerg-2763	209	8	the	the	DET
fuelectenerg-2763	209	9	output	output	NOUN
fuelectenerg-2763	209	10	of	of	ADP
fuelectenerg-2763	209	11	the	the	DET
fuelectenerg-2763	209	12	mux	mux	PROPN
fuelectenerg-2763	209	13	function	function	NOUN
fuelectenerg-2763	209	14	depends	depend	VERB
fuelectenerg-2763	209	15	on	on	ADP
fuelectenerg-2763	209	16	the	the	DET
fuelectenerg-2763	209	17	values	value	NOUN
fuelectenerg-2763	209	18	of	of	ADP
fuelectenerg-2763	209	19	all	all	DET
fuelectenerg-2763	209	20	the	the	DET
fuelectenerg-2763	209	21	select	select	ADJ
fuelectenerg-2763	209	22	lines	line	NOUN
fuelectenerg-2763	209	23	and	and	CCONJ
fuelectenerg-2763	209	24	the	the	DET
fuelectenerg-2763	209	25	input	input	NOUN
fuelectenerg-2763	209	26	.	.	PUNCT
fuelectenerg-2763	210	1	note	note	VERB
fuelectenerg-2763	210	2	that	that	SCONJ
fuelectenerg-2763	210	3	the	the	DET
fuelectenerg-2763	210	4	1	1	NUM
fuelectenerg-2763	210	5	comes	come	VERB
fuelectenerg-2763	210	6	from	from	ADP
fuelectenerg-2763	210	7	the	the	DET
fuelectenerg-2763	210	8	assumption	assumption	NOUN
fuelectenerg-2763	210	9	that	that	SCONJ
fuelectenerg-2763	210	10	the	the	DET
fuelectenerg-2763	210	11	degree	degree	NOUN
fuelectenerg-2763	210	12	of	of	ADP
fuelectenerg-2763	210	13	the	the	DET
fuelectenerg-2763	210	14	input	input	NOUN
fuelectenerg-2763	210	15	to	to	ADP
fuelectenerg-2763	210	16	the	the	DET
fuelectenerg-2763	210	17	mux	mux	PROPN
fuelectenerg-2763	210	18	is	be	AUX
fuelectenerg-2763	210	19	1	1	NUM
fuelectenerg-2763	210	20	.	.	PUNCT
fuelectenerg-2763	211	1	it	it	PRON
fuelectenerg-2763	211	2	needs	need	VERB
fuelectenerg-2763	211	3	to	to	PART
fuelectenerg-2763	211	4	be	be	AUX
fuelectenerg-2763	211	5	substituted	substitute	VERB
fuelectenerg-2763	211	6	when	when	SCONJ
fuelectenerg-2763	211	7	the	the	DET
fuelectenerg-2763	211	8	degree	degree	NOUN
fuelectenerg-2763	211	9	changes	change	NOUN
fuelectenerg-2763	211	10	.	.	PUNCT
fuelectenerg-2763	212	1	4.5.4	4.5.4	X
fuelectenerg-2763	212	2	.	.	NOUN
fuelectenerg-2763	212	3	algebraic	algebraic	ADJ
fuelectenerg-2763	212	4	degree	degree	NOUN
fuelectenerg-2763	212	5	of	of	ADP
fuelectenerg-2763	212	6	the	the	DET
fuelectenerg-2763	212	7	new	new	ADJ
fuelectenerg-2763	212	8	design	design	NOUN
fuelectenerg-2763	212	9	the	the	DET
fuelectenerg-2763	212	10	algebraic	algebraic	ADJ
fuelectenerg-2763	212	11	degree	degree	NOUN
fuelectenerg-2763	212	12	of	of	ADP
fuelectenerg-2763	212	13	the	the	DET
fuelectenerg-2763	212	14	new	new	ADJ
fuelectenerg-2763	212	15	design	design	NOUN
fuelectenerg-2763	212	16	can	can	AUX
fuelectenerg-2763	212	17	be	be	AUX
fuelectenerg-2763	212	18	determined	determine	VERB
fuelectenerg-2763	212	19	by	by	ADP
fuelectenerg-2763	212	20	combining	combine	VERB
fuelectenerg-2763	212	21	the	the	DET
fuelectenerg-2763	212	22	degrees	degree	NOUN
fuelectenerg-2763	212	23	of	of	ADP
fuelectenerg-2763	212	24	all	all	DET
fuelectenerg-2763	212	25	the	the	DET
fuelectenerg-2763	212	26	components	component	NOUN
fuelectenerg-2763	212	27	.	.	PUNCT
fuelectenerg-2763	213	1	the	the	DET
fuelectenerg-2763	213	2	table	table	NOUN
fuelectenerg-2763	213	3	2	2	NUM
fuelectenerg-2763	213	4	provides	provide	VERB
fuelectenerg-2763	213	5	the	the	DET
fuelectenerg-2763	213	6	summary	summary	NOUN
fuelectenerg-2763	213	7	of	of	ADP
fuelectenerg-2763	213	8	the	the	DET
fuelectenerg-2763	213	9	algebraic	algebraic	ADJ
fuelectenerg-2763	213	10	degree	degree	NOUN
fuelectenerg-2763	213	11	of	of	ADP
fuelectenerg-2763	213	12	the	the	DET
fuelectenerg-2763	213	13	new	new	ADJ
fuelectenerg-2763	213	14	design	design	NOUN
fuelectenerg-2763	213	15	and	and	CCONJ
fuelectenerg-2763	213	16	a	a	DET
fuelectenerg-2763	213	17	comparison	comparison	NOUN
fuelectenerg-2763	213	18	to	to	ADP
fuelectenerg-2763	213	19	the	the	DET
fuelectenerg-2763	213	20	traditional	traditional	ADJ
fuelectenerg-2763	213	21	modulo	modulo	NOUN
fuelectenerg-2763	213	22	addition	addition	NOUN
fuelectenerg-2763	213	23	.	.	PUNCT
fuelectenerg-2763	214	1	note	note	VERB
fuelectenerg-2763	214	2	that	that	SCONJ
fuelectenerg-2763	214	3	the	the	DET
fuelectenerg-2763	214	4	algebraic	algebraic	ADJ
fuelectenerg-2763	214	5	degree	degree	NOUN
fuelectenerg-2763	214	6	of	of	ADP
fuelectenerg-2763	214	7	the	the	DET
fuelectenerg-2763	214	8	traditional	traditional	ADJ
fuelectenerg-2763	214	9	modulo	modulo	NOUN
fuelectenerg-2763	214	10	addition	addition	NOUN
fuelectenerg-2763	214	11	is	be	AUX
fuelectenerg-2763	214	12	calculated	calculate	VERB
fuelectenerg-2763	214	13	using	use	VERB
fuelectenerg-2763	214	14	(	(	PUNCT
fuelectenerg-2763	214	15	8)	8)	NUM
fuelectenerg-2763	214	16	.	.	NOUN
fuelectenerg-2763	214	17	470	470	NUM
fuelectenerg-2763	214	18	p.	p.	NOUN
fuelectenerg-2763	214	19	siddavaatam	siddavaatam	NOUN
fuelectenerg-2763	214	20	,	,	PUNCT
fuelectenerg-2763	214	21	r.	r.	NOUN
fuelectenerg-2763	214	22	sedaghat	sedaghat	PROPN
fuelectenerg-2763	214	23	table	table	NOUN
fuelectenerg-2763	214	24	2	2	NUM
fuelectenerg-2763	214	25	comparison	comparison	NOUN
fuelectenerg-2763	214	26	of	of	ADP
fuelectenerg-2763	214	27	modulo	modulo	NOUN
fuelectenerg-2763	214	28	addition	addition	NOUN
fuelectenerg-2763	214	29	algebraic	algebraic	ADJ
fuelectenerg-2763	214	30	degrees	degree	NOUN
fuelectenerg-2763	214	31	sum	sum	NOUN
fuelectenerg-2763	214	32	of	of	ADP
fuelectenerg-2763	214	33	traditional	traditional	ADJ
fuelectenerg-2763	214	34	modulo	modulo	NOUN
fuelectenerg-2763	214	35	addition	addition	NOUN
fuelectenerg-2763	214	36	sum	sum	NOUN
fuelectenerg-2763	214	37	of	of	ADP
fuelectenerg-2763	214	38	modulo	modulo	ADJ
fuelectenerg-2763	214	39	addition	addition	NOUN
fuelectenerg-2763	214	40	in	in	ADP
fuelectenerg-2763	214	41	the	the	DET
fuelectenerg-2763	214	42	new	new	ADJ
fuelectenerg-2763	214	43	design	design	NOUN
fuelectenerg-2763	214	44	algebraic	algebraic	ADJ
fuelectenerg-2763	214	45	degree	degree	NOUN
fuelectenerg-2763	214	46	using	use	VERB
fuelectenerg-2763	214	47	(	(	PUNCT
fuelectenerg-2763	214	48	8)	8)	NUM
fuelectenerg-2763	214	49	m	m	NOUN
fuelectenerg-2763	214	50	m	m	VERB
fuelectenerg-2763	214	51	algebraic	algebraic	ADJ
fuelectenerg-2763	214	52	degree	degree	NOUN
fuelectenerg-2763	214	53	using	use	VERB
fuelectenerg-2763	214	54	(	(	PUNCT
fuelectenerg-2763	214	55	5	5	NUM
fuelectenerg-2763	214	56	)	)	PUNCT
fuelectenerg-2763	214	57	and	and	CCONJ
fuelectenerg-2763	214	58	(	(	PUNCT
fuelectenerg-2763	214	59	6	6	X
fuelectenerg-2763	214	60	)	)	PUNCT
fuelectenerg-2763	214	61	i	i	PRON
fuelectenerg-2763	214	62	m	m	VERB
fuelectenerg-2763	214	63	i	i	VERB
fuelectenerg-2763	214	64	w	w	PROPN
fuelectenerg-2763	214	65	j	j	PROPN
fuelectenerg-2763	214	66	m	m	PROPN
fuelectenerg-2763	214	67	table	table	NOUN
fuelectenerg-2763	214	68	3	3	NUM
fuelectenerg-2763	214	69	algebraic	algebraic	ADJ
fuelectenerg-2763	214	70	degree	degree	NOUN
fuelectenerg-2763	214	71	of	of	ADP
fuelectenerg-2763	214	72	the	the	DET
fuelectenerg-2763	214	73	new	new	ADJ
fuelectenerg-2763	214	74	design	design	NOUN
fuelectenerg-2763	214	75	traditional	traditional	ADJ
fuelectenerg-2763	214	76	modulo	modulo	NOUN
fuelectenerg-2763	214	77	addition	addition	NOUN
fuelectenerg-2763	214	78	new	new	ADJ
fuelectenerg-2763	214	79	modulo	modulo	PROPN
fuelectenerg-2763	214	80	addition	addition	NOUN
fuelectenerg-2763	214	81	algebraic	algebraic	ADJ
fuelectenerg-2763	214	82	degree	degree	NOUN
fuelectenerg-2763	214	83	of	of	ADP
fuelectenerg-2763	214	84	input	input	NOUN
fuelectenerg-2763	214	85	1	1	NUM
fuelectenerg-2763	214	86	m	m	NOUN
fuelectenerg-2763	214	87	algebraic	algebraic	ADJ
fuelectenerg-2763	214	88	degree	degree	NOUN
fuelectenerg-2763	214	89	of	of	ADP
fuelectenerg-2763	214	90	addition	addition	NOUN
fuelectenerg-2763	214	91	2	2	NUM
fuelectenerg-2763	214	92	m	m	NOUN
fuelectenerg-2763	214	93	i	i	NOUN
fuelectenerg-2763	214	94	w	w	PROPN
fuelectenerg-2763	214	95	j	j	PROPN
fuelectenerg-2763	214	96	m	m	VERB
fuelectenerg-2763	214	97	algebraic	algebraic	ADJ
fuelectenerg-2763	214	98	degree	degree	NOUN
fuelectenerg-2763	214	99	of	of	ADP
fuelectenerg-2763	214	100	output	output	NOUN
fuelectenerg-2763	214	101	m	m	VERB
fuelectenerg-2763	214	102	+	+	NOUN
fuelectenerg-2763	214	103	1	1	NUM
fuelectenerg-2763	214	104	total	total	NOUN
fuelectenerg-2763	214	105	1	1	NUM
fuelectenerg-2763	214	106			NOUN
fuelectenerg-2763	214	107	2	2	NUM
fuelectenerg-2763	214	108	m	m	NOUN
fuelectenerg-2763	214	109	m	m	VERB
fuelectenerg-2763	214	110	i	i	PRON
fuelectenerg-2763	214	111	w	w	PROPN
fuelectenerg-2763	214	112	j	j	PROPN
fuelectenerg-2763	214	113	m	m	VERB
fuelectenerg-2763	214	114	algebraic	algebraic	ADJ
fuelectenerg-2763	214	115	immunity	immunity	NOUN
fuelectenerg-2763	214	116	and	and	CCONJ
fuelectenerg-2763	214	117	describing	describe	VERB
fuelectenerg-2763	214	118	degree	degree	NOUN
fuelectenerg-2763	214	119	traditional	traditional	ADJ
fuelectenerg-2763	214	120	modulo	modulo	NOUN
fuelectenerg-2763	214	121	addition	addition	NOUN
fuelectenerg-2763	214	122	new	new	ADJ
fuelectenerg-2763	214	123	modulo	modulo	NOUN
fuelectenerg-2763	214	124	addition	addition	NOUN
fuelectenerg-2763	214	125	algebraic	algebraic	PROPN
fuelectenerg-2763	214	126	immunity	immunity	NOUN
fuelectenerg-2763	214	127	1	1	NUM
fuelectenerg-2763	214	128	2	2	NUM
fuelectenerg-2763	214	129	m	m	AUX
fuelectenerg-2763	214	130	describing	describe	VERB
fuelectenerg-2763	214	131	degree	degree	NOUN
fuelectenerg-2763	214	132	2	2	NUM
fuelectenerg-2763	214	133	m	m	NOUN
fuelectenerg-2763	214	134	(	(	PUNCT
fuelectenerg-2763	214	135	n	n	PROPN
fuelectenerg-2763	214	136	–	–	PUNCT
fuelectenerg-2763	214	137	–	–	PUNCT
fuelectenerg-2763	214	138	)	)	PUNCT
fuelectenerg-2763	215	1	m	m	NOUN
fuelectenerg-2763	215	2	table	table	NOUN
fuelectenerg-2763	215	3	4	4	NUM
fuelectenerg-2763	215	4	complexity	complexity	NOUN
fuelectenerg-2763	215	5	comparison	comparison	NOUN
fuelectenerg-2763	215	6	of	of	ADP
fuelectenerg-2763	215	7	the	the	DET
fuelectenerg-2763	215	8	corner	corner	NOUN
fuelectenerg-2763	215	9	case	case	NOUN
fuelectenerg-2763	215	10	traditional	traditional	ADJ
fuelectenerg-2763	215	11	modulo	modulo	NOUN
fuelectenerg-2763	215	12	addition	addition	NOUN
fuelectenerg-2763	215	13	using	use	VERB
fuelectenerg-2763	215	14	(	(	PUNCT
fuelectenerg-2763	215	15	8)	8)	NUM
fuelectenerg-2763	215	16	new	new	ADJ
fuelectenerg-2763	215	17	modulo	modulo	NOUN
fuelectenerg-2763	215	18	addition	addition	NOUN
fuelectenerg-2763	215	19	corner	corner	NOUN
fuelectenerg-2763	215	20	case	case	NOUN
fuelectenerg-2763	215	21	number	number	NOUN
fuelectenerg-2763	215	22	of	of	ADP
fuelectenerg-2763	215	23	input	input	NOUN
fuelectenerg-2763	215	24	variables	variable	VERB
fuelectenerg-2763	215	25	2n	2n	NUM
fuelectenerg-2763	215	26	3mn	3mn	PROPN
fuelectenerg-2763	216	1	+	+	CCONJ
fuelectenerg-2763	216	2	2n	2n	NUM
fuelectenerg-2763	216	3	number	number	NOUN
fuelectenerg-2763	216	4	of	of	ADP
fuelectenerg-2763	216	5	output	output	NOUN
fuelectenerg-2763	216	6	variables	variable	NOUN
fuelectenerg-2763	216	7	n	n	CCONJ
fuelectenerg-2763	216	8	n	n	PRON
fuelectenerg-2763	216	9	number	number	NOUN
fuelectenerg-2763	216	10	of	of	ADP
fuelectenerg-2763	216	11	extra	extra	ADJ
fuelectenerg-2763	216	12	variables	variable	NOUN
fuelectenerg-2763	216	13	0	0	NUM
fuelectenerg-2763	216	14	0	0	NUM
fuelectenerg-2763	216	15	number	number	NOUN
fuelectenerg-2763	216	16	of	of	ADP
fuelectenerg-2763	216	17	equations	equation	NOUN
fuelectenerg-2763	216	18	r	r	NOUN
fuelectenerg-2763	216	19	=	=	SYM
fuelectenerg-2763	216	20	6n	6n	NUM
fuelectenerg-2763	216	21	–	–	PUNCT
fuelectenerg-2763	216	22	3	3	NUM
fuelectenerg-2763	216	23	r	r	NOUN
fuelectenerg-2763	216	24	=	=	SYM
fuelectenerg-2763	216	25	n	n	CCONJ
fuelectenerg-2763	216	26	algebraic	algebraic	ADJ
fuelectenerg-2763	216	27	degree	degree	NOUN
fuelectenerg-2763	216	28	2	2	NUM
fuelectenerg-2763	216	29	n	n	NOUN
fuelectenerg-2763	216	30	+	+	SYM
fuelectenerg-2763	216	31	1	1	NUM
fuelectenerg-2763	216	32	condition	condition	NOUN
fuelectenerg-2763	216	33	cost	cost	VERB
fuelectenerg-2763	216	34	0	0	NUM
fuelectenerg-2763	217	1	23mn	23mn	ADJ
fuelectenerg-2763	217	2	number	number	NOUN
fuelectenerg-2763	217	3	of	of	ADP
fuelectenerg-2763	217	4	monomials	monomial	NOUN
fuelectenerg-2763	217	5	=	=	SYM
fuelectenerg-2763	217	6	∑	∑	PROPN
fuelectenerg-2763	217	7	(	(	PUNCT
fuelectenerg-2763	217	8	n	n	NOUN
fuelectenerg-2763	217	9	i	i	NOUN
fuelectenerg-2763	217	10	)	)	PUNCT
fuelectenerg-2763	218	1	=	=	PUNCT
fuelectenerg-2763	218	2	∑	∑	PROPN
fuelectenerg-2763	218	3	(	(	PUNCT
fuelectenerg-2763	218	4	n	n	NOUN
fuelectenerg-2763	218	5	m	m	VERB
fuelectenerg-2763	218	6	i	i	NOUN
fuelectenerg-2763	218	7	)	)	PUNCT
fuelectenerg-2763	218	8	complexity	complexity	NOUN
fuelectenerg-2763	218	9	=	=	SYM
fuelectenerg-2763	219	1	n⁄	n⁄	NUM
fuelectenerg-2763	219	2	⌈	⌈	PROPN
fuelectenerg-2763	219	3	⁄	⁄	ADJ
fuelectenerg-2763	219	4	⌉	⌉	PRON
fuelectenerg-2763	219	5	=	=	SYM
fuelectenerg-2763	219	6	(	(	PUNCT
fuelectenerg-2763	219	7	mn	mn	PROPN
fuelectenerg-2763	219	8	n	n	PROPN
fuelectenerg-2763	219	9	⁄	⁄	PROPN
fuelectenerg-2763	219	10	⌈	⌈	PROPN
fuelectenerg-2763	219	11	⁄	⁄	PROPN
fuelectenerg-2763	219	12	⌉	⌉	NOUN
fuelectenerg-2763	219	13	as	as	SCONJ
fuelectenerg-2763	219	14	described	describe	VERB
fuelectenerg-2763	219	15	in	in	ADP
fuelectenerg-2763	219	16	table	table	NOUN
fuelectenerg-2763	219	17	3	3	NUM
fuelectenerg-2763	219	18	,	,	PUNCT
fuelectenerg-2763	219	19	the	the	DET
fuelectenerg-2763	219	20	algebraic	algebraic	ADJ
fuelectenerg-2763	219	21	immunity	immunity	NOUN
fuelectenerg-2763	219	22	has	have	AUX
fuelectenerg-2763	219	23	increased	increase	VERB
fuelectenerg-2763	219	24	by	by	ADP
fuelectenerg-2763	219	25	m	m	PROPN
fuelectenerg-2763	219	26	,	,	PUNCT
fuelectenerg-2763	219	27	or	or	CCONJ
fuelectenerg-2763	219	28	at	at	ADV
fuelectenerg-2763	219	29	least	least	ADJ
fuelectenerg-2763	219	30	4	4	NUM
fuelectenerg-2763	219	31	for	for	ADP
fuelectenerg-2763	219	32	m	m	NOUN
fuelectenerg-2763	219	33	=	=	SYM
fuelectenerg-2763	219	34	2	2	NUM
fuelectenerg-2763	219	35	.	.	X
fuelectenerg-2763	220	1	the	the	DET
fuelectenerg-2763	220	2	describing	describing	NOUN
fuelectenerg-2763	220	3	degree	degree	NOUN
fuelectenerg-2763	220	4	has	have	AUX
fuelectenerg-2763	220	5	increased	increase	VERB
fuelectenerg-2763	220	6	from	from	ADP
fuelectenerg-2763	220	7	2	2	NUM
fuelectenerg-2763	220	8	to	to	ADP
fuelectenerg-2763	220	9	at	at	ADV
fuelectenerg-2763	220	10	least	least	ADV
fuelectenerg-2763	220	11	10	10	NUM
fuelectenerg-2763	220	12	for	for	ADP
fuelectenerg-2763	220	13	m	m	PROPN
fuelectenerg-2763	220	14	=	=	SYM
fuelectenerg-2763	220	15	and	and	CCONJ
fuelectenerg-2763	220	16	n	n	NOUN
fuelectenerg-2763	220	17	=	=	X
fuelectenerg-2763	220	18	.	.	PUNCT
fuelectenerg-2763	221	1	in	in	ADP
fuelectenerg-2763	221	2	addition	addition	NOUN
fuelectenerg-2763	221	3	,	,	PUNCT
fuelectenerg-2763	221	4	it	it	PRON
fuelectenerg-2763	221	5	is	be	AUX
fuelectenerg-2763	221	6	worth	worth	ADJ
fuelectenerg-2763	221	7	noting	note	VERB
fuelectenerg-2763	221	8	that	that	SCONJ
fuelectenerg-2763	221	9	,	,	PUNCT
fuelectenerg-2763	221	10	an	an	DET
fuelectenerg-2763	221	11	attacker	attacker	NOUN
fuelectenerg-2763	221	12	can	can	AUX
fuelectenerg-2763	221	13	seek	seek	VERB
fuelectenerg-2763	221	14	to	to	PART
fuelectenerg-2763	221	15	lower	lower	VERB
fuelectenerg-2763	221	16	the	the	DET
fuelectenerg-2763	221	17	degree	degree	NOUN
fuelectenerg-2763	221	18	of	of	ADP
fuelectenerg-2763	221	19	the	the	DET
fuelectenerg-2763	221	20	new	new	ADJ
fuelectenerg-2763	221	21	design	design	NOUN
fuelectenerg-2763	221	22	by	by	ADP
fuelectenerg-2763	221	23	looking	look	VERB
fuelectenerg-2763	221	24	for	for	ADP
fuelectenerg-2763	221	25	additional	additional	ADJ
fuelectenerg-2763	221	26	independent	independent	ADJ
fuelectenerg-2763	221	27	equations	equation	NOUN
fuelectenerg-2763	221	28	with	with	ADP
fuelectenerg-2763	221	29	lower	low	ADJ
fuelectenerg-2763	221	30	degree	degree	NOUN
fuelectenerg-2763	221	31	or	or	CCONJ
fuelectenerg-2763	221	32	by	by	ADP
fuelectenerg-2763	221	33	creating	create	VERB
fuelectenerg-2763	221	34	extra	extra	ADJ
fuelectenerg-2763	221	35	variables	variable	NOUN
fuelectenerg-2763	221	36	.	.	PUNCT
fuelectenerg-2763	222	1	a	a	DET
fuelectenerg-2763	222	2	novel	novel	ADJ
fuelectenerg-2763	222	3	architecture	architecture	NOUN
fuelectenerg-2763	222	4	with	with	ADP
fuelectenerg-2763	222	5	scalable	scalable	ADJ
fuelectenerg-2763	222	6	security	security	NOUN
fuelectenerg-2763	222	7	having	have	VERB
fuelectenerg-2763	222	8	expandable	expandable	ADJ
fuelectenerg-2763	222	9	computational	computational	ADJ
fuelectenerg-2763	222	10	complexity	complexity	NOUN
fuelectenerg-2763	222	11	471	471	NUM
fuelectenerg-2763	222	12	the	the	DET
fuelectenerg-2763	222	13	benefit	benefit	NOUN
fuelectenerg-2763	222	14	of	of	ADP
fuelectenerg-2763	222	15	these	these	DET
fuelectenerg-2763	222	16	methods	method	NOUN
fuelectenerg-2763	222	17	is	be	AUX
fuelectenerg-2763	222	18	to	to	PART
fuelectenerg-2763	222	19	be	be	AUX
fuelectenerg-2763	222	20	determined	determine	VERB
fuelectenerg-2763	222	21	by	by	ADP
fuelectenerg-2763	222	22	the	the	DET
fuelectenerg-2763	222	23	attacker	attacker	PROPN
fuelectenerg-2763	222	24	.	.	PUNCT
fuelectenerg-2763	223	1	however	however	ADV
fuelectenerg-2763	223	2	,	,	PUNCT
fuelectenerg-2763	223	3	a	a	DET
fuelectenerg-2763	223	4	corner	corner	NOUN
fuelectenerg-2763	223	5	case	case	NOUN
fuelectenerg-2763	223	6	study	study	NOUN
fuelectenerg-2763	223	7	is	be	AUX
fuelectenerg-2763	223	8	provided	provide	VERB
fuelectenerg-2763	223	9	in	in	ADP
fuelectenerg-2763	223	10	the	the	DET
fuelectenerg-2763	223	11	next	next	ADJ
fuelectenerg-2763	223	12	section	section	NOUN
fuelectenerg-2763	223	13	as	as	ADP
fuelectenerg-2763	223	14	a	a	DET
fuelectenerg-2763	223	15	starting	starting	NOUN
fuelectenerg-2763	223	16	point	point	NOUN
fuelectenerg-2763	223	17	.	.	PUNCT
fuelectenerg-2763	224	1	4.5.5	4.5.5	X
fuelectenerg-2763	224	2	.	.	PUNCT
fuelectenerg-2763	224	3	corner	corner	NOUN
fuelectenerg-2763	224	4	case	case	NOUN
fuelectenerg-2763	224	5	analysis	analysis	NOUN
fuelectenerg-2763	224	6	of	of	ADP
fuelectenerg-2763	224	7	the	the	DET
fuelectenerg-2763	224	8	new	new	ADJ
fuelectenerg-2763	224	9	design	design	NOUN
fuelectenerg-2763	224	10	the	the	DET
fuelectenerg-2763	224	11	corner	corner	NOUN
fuelectenerg-2763	224	12	case	case	NOUN
fuelectenerg-2763	224	13	can	can	AUX
fuelectenerg-2763	224	14	be	be	AUX
fuelectenerg-2763	224	15	obtained	obtain	VERB
fuelectenerg-2763	224	16	by	by	ADP
fuelectenerg-2763	224	17	looking	look	VERB
fuelectenerg-2763	224	18	for	for	ADP
fuelectenerg-2763	224	19	a	a	DET
fuelectenerg-2763	224	20	conditional	conditional	ADJ
fuelectenerg-2763	224	21	property	property	NOUN
fuelectenerg-2763	224	22	of	of	ADP
fuelectenerg-2763	224	23	the	the	DET
fuelectenerg-2763	224	24	new	new	ADJ
fuelectenerg-2763	224	25	design	design	NOUN
fuelectenerg-2763	224	26	.	.	PUNCT
fuelectenerg-2763	225	1	in	in	ADP
fuelectenerg-2763	225	2	other	other	ADJ
fuelectenerg-2763	225	3	words	word	NOUN
fuelectenerg-2763	225	4	,	,	PUNCT
fuelectenerg-2763	225	5	there	there	PRON
fuelectenerg-2763	225	6	is	be	VERB
fuelectenerg-2763	225	7	a	a	DET
fuelectenerg-2763	225	8	probabilistic	probabilistic	ADJ
fuelectenerg-2763	225	9	condition	condition	NOUN
fuelectenerg-2763	225	10	that	that	PRON
fuelectenerg-2763	225	11	can	can	AUX
fuelectenerg-2763	225	12	help	help	VERB
fuelectenerg-2763	225	13	lower	lower	VERB
fuelectenerg-2763	225	14	the	the	DET
fuelectenerg-2763	225	15	algebraic	algebraic	ADJ
fuelectenerg-2763	225	16	degree	degree	NOUN
fuelectenerg-2763	225	17	.	.	PUNCT
fuelectenerg-2763	226	1	from	from	ADP
fuelectenerg-2763	226	2	table	table	NOUN
fuelectenerg-2763	226	3	1	1	NUM
fuelectenerg-2763	226	4	,	,	PUNCT
fuelectenerg-2763	226	5	it	it	PRON
fuelectenerg-2763	226	6	can	can	AUX
fuelectenerg-2763	226	7	be	be	AUX
fuelectenerg-2763	226	8	seen	see	VERB
fuelectenerg-2763	226	9	that	that	SCONJ
fuelectenerg-2763	226	10	the	the	DET
fuelectenerg-2763	226	11	algebraic	algebraic	ADJ
fuelectenerg-2763	226	12	degree	degree	NOUN
fuelectenerg-2763	226	13	of	of	ADP
fuelectenerg-2763	226	14	the	the	DET
fuelectenerg-2763	226	15	input	input	NOUN
fuelectenerg-2763	226	16	expansion	expansion	NOUN
fuelectenerg-2763	226	17	function	function	NOUN
fuelectenerg-2763	226	18	depends	depend	VERB
fuelectenerg-2763	226	19	on	on	ADP
fuelectenerg-2763	226	20	the	the	DET
fuelectenerg-2763	226	21	multiplication	multiplication	NOUN
fuelectenerg-2763	226	22	of	of	ADP
fuelectenerg-2763	226	23	the	the	DET
fuelectenerg-2763	226	24	input	input	NOUN
fuelectenerg-2763	226	25	control	control	PROPN
fuelectenerg-2763	226	26	string	string	NOUN
fuelectenerg-2763	226	27	variables	variable	NOUN
fuelectenerg-2763	226	28	.	.	PUNCT
fuelectenerg-2763	227	1	once	once	SCONJ
fuelectenerg-2763	227	2	the	the	DET
fuelectenerg-2763	227	3	variables	variable	NOUN
fuelectenerg-2763	227	4	are	be	AUX
fuelectenerg-2763	227	5	known	know	VERB
fuelectenerg-2763	227	6	,	,	PUNCT
fuelectenerg-2763	227	7	the	the	DET
fuelectenerg-2763	227	8	degree	degree	NOUN
fuelectenerg-2763	227	9	falls	fall	VERB
fuelectenerg-2763	227	10	to	to	ADP
fuelectenerg-2763	227	11	1	1	NUM
fuelectenerg-2763	227	12	.	.	PUNCT
fuelectenerg-2763	228	1	specifically	specifically	ADV
fuelectenerg-2763	228	2	,	,	PUNCT
fuelectenerg-2763	228	3	if	if	SCONJ
fuelectenerg-2763	228	4	the	the	DET
fuelectenerg-2763	228	5	input	input	NOUN
fuelectenerg-2763	228	6	control	control	NOUN
fuelectenerg-2763	228	7	string	string	NOUN
fuelectenerg-2763	228	8	has	have	VERB
fuelectenerg-2763	228	9	all	all	DET
fuelectenerg-2763	228	10	0	0	NUM
fuelectenerg-2763	228	11	’s	’s	PART
fuelectenerg-2763	228	12	,	,	PUNCT
fuelectenerg-2763	228	13	the	the	DET
fuelectenerg-2763	228	14	expanded	expand	VERB
fuelectenerg-2763	228	15	inputs	input	NOUN
fuelectenerg-2763	228	16	are	be	AUX
fuelectenerg-2763	228	17	either	either	CCONJ
fuelectenerg-2763	228	18	the	the	DET
fuelectenerg-2763	228	19	same	same	ADJ
fuelectenerg-2763	228	20	as	as	ADP
fuelectenerg-2763	228	21	the	the	DET
fuelectenerg-2763	228	22	inputs	input	NOUN
fuelectenerg-2763	228	23	or	or	CCONJ
fuelectenerg-2763	228	24	the	the	DET
fuelectenerg-2763	228	25	complement	complement	NOUN
fuelectenerg-2763	228	26	of	of	ADP
fuelectenerg-2763	228	27	the	the	DET
fuelectenerg-2763	228	28	inputs	input	NOUN
fuelectenerg-2763	228	29	.	.	PUNCT
fuelectenerg-2763	229	1	under	under	ADP
fuelectenerg-2763	229	2	this	this	DET
fuelectenerg-2763	229	3	condition	condition	NOUN
fuelectenerg-2763	229	4	,	,	PUNCT
fuelectenerg-2763	229	5	the	the	DET
fuelectenerg-2763	229	6	degree	degree	NOUN
fuelectenerg-2763	229	7	of	of	ADP
fuelectenerg-2763	229	8	addition	addition	NOUN
fuelectenerg-2763	229	9	becomes	become	VERB
fuelectenerg-2763	229	10	at	at	ADP
fuelectenerg-2763	229	11	least	least	ADJ
fuelectenerg-2763	229	12	1	1	NUM
fuelectenerg-2763	229	13	,	,	PUNCT
fuelectenerg-2763	229	14	which	which	PRON
fuelectenerg-2763	229	15	is	be	AUX
fuelectenerg-2763	229	16	the	the	DET
fuelectenerg-2763	229	17	same	same	ADJ
fuelectenerg-2763	229	18	as	as	ADP
fuelectenerg-2763	229	19	the	the	DET
fuelectenerg-2763	229	20	traditional	traditional	ADJ
fuelectenerg-2763	229	21	modulo	modulo	NOUN
fuelectenerg-2763	229	22	addition	addition	NOUN
fuelectenerg-2763	229	23	.	.	PUNCT
fuelectenerg-2763	230	1	however	however	ADV
fuelectenerg-2763	230	2	,	,	PUNCT
fuelectenerg-2763	230	3	the	the	DET
fuelectenerg-2763	230	4	degree	degree	NOUN
fuelectenerg-2763	230	5	does	do	AUX
fuelectenerg-2763	230	6	not	not	PART
fuelectenerg-2763	230	7	scale	scale	VERB
fuelectenerg-2763	230	8	linearly	linearly	ADV
fuelectenerg-2763	230	9	with	with	ADP
fuelectenerg-2763	230	10	the	the	DET
fuelectenerg-2763	230	11	significance	significance	NOUN
fuelectenerg-2763	230	12	of	of	ADP
fuelectenerg-2763	230	13	the	the	DET
fuelectenerg-2763	230	14	bit	bit	NOUN
fuelectenerg-2763	230	15	positions	position	NOUN
fuelectenerg-2763	230	16	.	.	PUNCT
fuelectenerg-2763	231	1	in	in	ADP
fuelectenerg-2763	231	2	each	each	DET
fuelectenerg-2763	231	3	block	block	NOUN
fuelectenerg-2763	231	4	of	of	ADP
fuelectenerg-2763	231	5	expanded	expand	VERB
fuelectenerg-2763	231	6	inputs	input	NOUN
fuelectenerg-2763	231	7	,	,	PUNCT
fuelectenerg-2763	231	8	the	the	DET
fuelectenerg-2763	231	9	expression	expression	NOUN
fuelectenerg-2763	231	10	of	of	ADP
fuelectenerg-2763	231	11	the	the	DET
fuelectenerg-2763	231	12	summation	summation	NOUN
fuelectenerg-2763	231	13	of	of	ADP
fuelectenerg-2763	231	14	the	the	DET
fuelectenerg-2763	231	15	expanded	expand	VERB
fuelectenerg-2763	231	16	input	input	NOUN
fuelectenerg-2763	231	17	variables	variable	NOUN
fuelectenerg-2763	231	18	can	can	AUX
fuelectenerg-2763	231	19	be	be	AUX
fuelectenerg-2763	231	20	reduced	reduce	VERB
fuelectenerg-2763	231	21	because	because	SCONJ
fuelectenerg-2763	231	22	many	many	ADJ
fuelectenerg-2763	231	23	of	of	ADP
fuelectenerg-2763	231	24	the	the	DET
fuelectenerg-2763	231	25	variables	variable	NOUN
fuelectenerg-2763	231	26	are	be	AUX
fuelectenerg-2763	231	27	the	the	DET
fuelectenerg-2763	231	28	same	same	ADJ
fuelectenerg-2763	231	29	.	.	PUNCT
fuelectenerg-2763	232	1	in	in	ADP
fuelectenerg-2763	232	2	fact	fact	NOUN
fuelectenerg-2763	232	3	,	,	PUNCT
fuelectenerg-2763	232	4	the	the	DET
fuelectenerg-2763	232	5	degree	degree	NOUN
fuelectenerg-2763	232	6	of	of	ADP
fuelectenerg-2763	232	7	the	the	DET
fuelectenerg-2763	232	8	lsb	lsb	PROPN
fuelectenerg-2763	232	9	in	in	ADP
fuelectenerg-2763	232	10	each	each	DET
fuelectenerg-2763	232	11	block	block	NOUN
fuelectenerg-2763	232	12	of	of	ADP
fuelectenerg-2763	232	13	expanded	expand	VERB
fuelectenerg-2763	232	14	inputs	input	NOUN
fuelectenerg-2763	232	15	is	be	AUX
fuelectenerg-2763	232	16	,	,	PUNCT
fuelectenerg-2763	232	17	for	for	ADP
fuelectenerg-2763	232	18	0	0	NUM
fuelectenerg-2763	232	19	≤	≤	NUM
fuelectenerg-2763	232	20	i	i	PRON
fuelectenerg-2763	232	21	≤	≤	NOUN
fuelectenerg-2763	232	22	n	n	CCONJ
fuelectenerg-2763	232	23	–	–	PUNCT
fuelectenerg-2763	232	24	1	1	X
fuelectenerg-2763	232	25	.	.	X
fuelectenerg-2763	233	1	the	the	DET
fuelectenerg-2763	233	2	rest	rest	NOUN
fuelectenerg-2763	233	3	of	of	ADP
fuelectenerg-2763	233	4	the	the	DET
fuelectenerg-2763	233	5	summation	summation	NOUN
fuelectenerg-2763	233	6	bits	bit	NOUN
fuelectenerg-2763	233	7	from	from	ADP
fuelectenerg-2763	233	8	adding	add	VERB
fuelectenerg-2763	233	9	each	each	DET
fuelectenerg-2763	233	10	block	block	NOUN
fuelectenerg-2763	233	11	of	of	ADP
fuelectenerg-2763	233	12	the	the	DET
fuelectenerg-2763	233	13	expanded	expand	VERB
fuelectenerg-2763	233	14	inputs	input	NOUN
fuelectenerg-2763	233	15	have	have	VERB
fuelectenerg-2763	233	16	a	a	DET
fuelectenerg-2763	233	17	degree	degree	NOUN
fuelectenerg-2763	233	18	of	of	ADP
fuelectenerg-2763	233	19	.	.	PUNCT
fuelectenerg-2763	234	1	furthermore	furthermore	ADV
fuelectenerg-2763	234	2	,	,	PUNCT
fuelectenerg-2763	234	3	the	the	DET
fuelectenerg-2763	234	4	attacker	attacker	NOUN
fuelectenerg-2763	234	5	would	would	AUX
fuelectenerg-2763	234	6	notice	notice	VERB
fuelectenerg-2763	234	7	that	that	SCONJ
fuelectenerg-2763	234	8	if	if	SCONJ
fuelectenerg-2763	234	9	the	the	DET
fuelectenerg-2763	234	10	output	output	NOUN
fuelectenerg-2763	234	11	compaction	compaction	NOUN
fuelectenerg-2763	234	12	function	function	NOUN
fuelectenerg-2763	234	13	is	be	AUX
fuelectenerg-2763	234	14	able	able	ADJ
fuelectenerg-2763	234	15	to	to	PART
fuelectenerg-2763	234	16	select	select	VERB
fuelectenerg-2763	234	17	the	the	DET
fuelectenerg-2763	234	18	lsb	lsb	NOUN
fuelectenerg-2763	234	19	in	in	ADP
fuelectenerg-2763	234	20	each	each	DET
fuelectenerg-2763	234	21	block	block	NOUN
fuelectenerg-2763	234	22	of	of	ADP
fuelectenerg-2763	234	23	the	the	DET
fuelectenerg-2763	234	24	summation	summation	NOUN
fuelectenerg-2763	234	25	,	,	PUNCT
fuelectenerg-2763	234	26	i.e.	i.e.	X
fuelectenerg-2763	234	27	,	,	PUNCT
fuelectenerg-2763	234	28	z′i0	z′i0	PROPN
fuelectenerg-2763	234	29	,	,	PUNCT
fuelectenerg-2763	234	30	the	the	DET
fuelectenerg-2763	234	31	algebraic	algebraic	ADJ
fuelectenerg-2763	234	32	degree	degree	NOUN
fuelectenerg-2763	234	33	is	be	AUX
fuelectenerg-2763	234	34	the	the	DET
fuelectenerg-2763	234	35	lowest	low	ADJ
fuelectenerg-2763	234	36	.	.	PUNCT
fuelectenerg-2763	235	1	for	for	SCONJ
fuelectenerg-2763	235	2	this	this	PRON
fuelectenerg-2763	235	3	to	to	PART
fuelectenerg-2763	235	4	happen	happen	VERB
fuelectenerg-2763	235	5	,	,	PUNCT
fuelectenerg-2763	235	6	the	the	DET
fuelectenerg-2763	235	7	output	output	NOUN
fuelectenerg-2763	235	8	control	control	NOUN
fuelectenerg-2763	235	9	string	string	NOUN
fuelectenerg-2763	235	10	needs	need	VERB
fuelectenerg-2763	235	11	to	to	PART
fuelectenerg-2763	235	12	be	be	AUX
fuelectenerg-2763	235	13	all	all	PRON
fuelectenerg-2763	235	14	0	0	NOUN
fuelectenerg-2763	235	15	’s	’s	NOUN
fuelectenerg-2763	235	16	.	.	PUNCT
fuelectenerg-2763	236	1	as	as	ADP
fuelectenerg-2763	236	2	a	a	DET
fuelectenerg-2763	236	3	result	result	NOUN
fuelectenerg-2763	236	4	,	,	PUNCT
fuelectenerg-2763	236	5	the	the	DET
fuelectenerg-2763	236	6	degree	degree	NOUN
fuelectenerg-2763	236	7	of	of	ADP
fuelectenerg-2763	236	8	the	the	DET
fuelectenerg-2763	236	9	new	new	ADJ
fuelectenerg-2763	236	10	design	design	NOUN
fuelectenerg-2763	236	11	becomes	become	VERB
fuelectenerg-2763	236	12	for	for	ADP
fuelectenerg-2763	236	13	z′i	z′i	NOUN
fuelectenerg-2763	236	14	,	,	PUNCT
fuelectenerg-2763	236	15	and	and	CCONJ
fuelectenerg-2763	236	16	0	0	NUM
fuelectenerg-2763	236	17	≤	≤	NOUN
fuelectenerg-2763	236	18	i	i	PRON
fuelectenerg-2763	236	19	≤	≤	NOUN
fuelectenerg-2763	236	20	n	n	CCONJ
fuelectenerg-2763	236	21	–	–	PUNCT
fuelectenerg-2763	236	22	1	1	X
fuelectenerg-2763	236	23	.	.	PUNCT
fuelectenerg-2763	237	1	this	this	PRON
fuelectenerg-2763	237	2	is	be	AUX
fuelectenerg-2763	237	3	the	the	DET
fuelectenerg-2763	237	4	same	same	ADJ
fuelectenerg-2763	237	5	as	as	ADP
fuelectenerg-2763	237	6	the	the	DET
fuelectenerg-2763	237	7	traditional	traditional	ADJ
fuelectenerg-2763	237	8	modulo	modulo	NOUN
fuelectenerg-2763	237	9	addition	addition	NOUN
fuelectenerg-2763	237	10	as	as	SCONJ
fuelectenerg-2763	237	11	shown	show	VERB
fuelectenerg-2763	237	12	in	in	ADP
fuelectenerg-2763	237	13	table	table	NOUN
fuelectenerg-2763	237	14	2	2	NUM
fuelectenerg-2763	237	15	.	.	PUNCT
fuelectenerg-2763	238	1	nevertheless	nevertheless	ADV
fuelectenerg-2763	238	2	,	,	PUNCT
fuelectenerg-2763	238	3	the	the	DET
fuelectenerg-2763	238	4	cost	cost	NOUN
fuelectenerg-2763	238	5	of	of	ADP
fuelectenerg-2763	238	6	this	this	DET
fuelectenerg-2763	238	7	condition	condition	NOUN
fuelectenerg-2763	238	8	has	have	VERB
fuelectenerg-2763	238	9	a	a	DET
fuelectenerg-2763	238	10	probability	probability	NOUN
fuelectenerg-2763	238	11	of	of	ADP
fuelectenerg-2763	238	12	2	2	NUM
fuelectenerg-2763	238	13	-3mn	-3mn	NOUN
fuelectenerg-2763	238	14	as	as	ADV
fuelectenerg-2763	238	15	all	all	DET
fuelectenerg-2763	238	16	control	control	NOUN
fuelectenerg-2763	238	17	bits	bit	NOUN
fuelectenerg-2763	238	18	need	need	VERB
fuelectenerg-2763	238	19	to	to	PART
fuelectenerg-2763	238	20	be	be	AUX
fuelectenerg-2763	238	21	0	0	NUM
fuelectenerg-2763	238	22	’s	’s	PART
fuelectenerg-2763	238	23	.	.	PUNCT
fuelectenerg-2763	239	1	fig	fig	NOUN
fuelectenerg-2763	239	2	.	.	PUNCT
fuelectenerg-2763	240	1	2	2	NUM
fuelectenerg-2763	240	2	new	new	ADJ
fuelectenerg-2763	240	3	design	design	NOUN
fuelectenerg-2763	240	4	schematic	schematic	ADJ
fuelectenerg-2763	240	5	for	for	ADP
fuelectenerg-2763	240	6	snow	snow	NOUN
fuelectenerg-2763	240	7	2.0	2.0	NUM
fuelectenerg-2763	240	8	traditional	traditional	ADJ
fuelectenerg-2763	240	9	modulo	modulo	NOUN
fuelectenerg-2763	240	10	addition	addition	NOUN
fuelectenerg-2763	240	11	and	and	CCONJ
fuelectenerg-2763	240	12	the	the	DET
fuelectenerg-2763	240	13	new	new	ADJ
fuelectenerg-2763	240	14	design	design	NOUN
fuelectenerg-2763	240	15	can	can	AUX
fuelectenerg-2763	240	16	be	be	AUX
fuelectenerg-2763	240	17	viewed	view	VERB
fuelectenerg-2763	240	18	as	as	ADP
fuelectenerg-2763	240	19	s	s	NOUN
fuelectenerg-2763	240	20	-	-	NOUN
fuelectenerg-2763	240	21	boxes	box	NOUN
fuelectenerg-2763	240	22	and	and	CCONJ
fuelectenerg-2763	240	23	their	their	PRON
fuelectenerg-2763	240	24	complexity	complexity	NOUN
fuelectenerg-2763	240	25	against	against	ADP
fuelectenerg-2763	240	26	algebraic	algebraic	ADJ
fuelectenerg-2763	240	27	attack	attack	NOUN
fuelectenerg-2763	240	28	can	can	AUX
fuelectenerg-2763	240	29	be	be	AUX
fuelectenerg-2763	240	30	approximated	approximate	VERB
fuelectenerg-2763	240	31	as	as	ADP
fuelectenerg-2763	240	32	s	s	NOUN
fuelectenerg-2763	240	33	-	-	NOUN
fuelectenerg-2763	240	34	boxes	box	NOUN
fuelectenerg-2763	240	35	.	.	PUNCT
fuelectenerg-2763	241	1	for	for	ADP
fuelectenerg-2763	241	2	the	the	DET
fuelectenerg-2763	241	3	traditional	traditional	ADJ
fuelectenerg-2763	241	4	modulo	modulo	NOUN
fuelectenerg-2763	241	5	addition	addition	NOUN
fuelectenerg-2763	241	6	,	,	PUNCT
fuelectenerg-2763	241	7	the	the	DET
fuelectenerg-2763	241	8	required	require	VERB
fuelectenerg-2763	241	9	parameters	parameter	NOUN
fuelectenerg-2763	241	10	have	have	AUX
fuelectenerg-2763	241	11	been	be	AUX
fuelectenerg-2763	241	12	studied	study	VERB
fuelectenerg-2763	241	13	in	in	ADP
fuelectenerg-2763	241	14	[	[	X
fuelectenerg-2763	241	15	20	20	NUM
fuelectenerg-2763	241	16	]	]	PUNCT
fuelectenerg-2763	241	17	.	.	PUNCT
fuelectenerg-2763	242	1	a	a	DET
fuelectenerg-2763	242	2	comparison	comparison	NOUN
fuelectenerg-2763	242	3	for	for	ADP
fuelectenerg-2763	242	4	the	the	DET
fuelectenerg-2763	242	5	same	same	ADJ
fuelectenerg-2763	242	6	has	have	AUX
fuelectenerg-2763	242	7	been	be	AUX
fuelectenerg-2763	242	8	listed	list	VERB
fuelectenerg-2763	242	9	in	in	ADP
fuelectenerg-2763	242	10	table	table	NOUN
fuelectenerg-2763	242	11	4	4	NUM
fuelectenerg-2763	242	12	.	.	PUNCT
fuelectenerg-2763	243	1	in	in	ADP
fuelectenerg-2763	243	2	the	the	DET
fuelectenerg-2763	243	3	corner	corner	NOUN
fuelectenerg-2763	243	4	case	case	NOUN
fuelectenerg-2763	243	5	,	,	PUNCT
fuelectenerg-2763	243	6	the	the	DET
fuelectenerg-2763	243	7	number	number	NOUN
fuelectenerg-2763	243	8	of	of	ADP
fuelectenerg-2763	243	9	monomials	monomial	NOUN
fuelectenerg-2763	243	10	is	be	AUX
fuelectenerg-2763	243	11	still	still	ADV
fuelectenerg-2763	243	12	472	472	NUM
fuelectenerg-2763	243	13	p.	p.	NOUN
fuelectenerg-2763	243	14	siddavaatam	siddavaatam	NOUN
fuelectenerg-2763	243	15	,	,	PUNCT
fuelectenerg-2763	243	16	r.	r.	NOUN
fuelectenerg-2763	243	17	sedaghat	sedaghat	PROPN
fuelectenerg-2763	243	18	larger	large	ADJ
fuelectenerg-2763	243	19	because	because	SCONJ
fuelectenerg-2763	243	20	of	of	ADP
fuelectenerg-2763	243	21	the	the	DET
fuelectenerg-2763	243	22	increased	increase	VERB
fuelectenerg-2763	243	23	in	in	ADP
fuelectenerg-2763	243	24	number	number	NOUN
fuelectenerg-2763	243	25	of	of	ADP
fuelectenerg-2763	243	26	variables	variable	NOUN
fuelectenerg-2763	243	27	and	and	CCONJ
fuelectenerg-2763	243	28	algebraic	algebraic	ADJ
fuelectenerg-2763	243	29	degree	degree	NOUN
fuelectenerg-2763	243	30	.	.	PUNCT
fuelectenerg-2763	244	1	at	at	ADP
fuelectenerg-2763	244	2	the	the	DET
fuelectenerg-2763	244	3	same	same	ADJ
fuelectenerg-2763	244	4	time	time	NOUN
fuelectenerg-2763	244	5	,	,	PUNCT
fuelectenerg-2763	244	6	the	the	DET
fuelectenerg-2763	244	7	complexity	complexity	NOUN
fuelectenerg-2763	244	8	has	have	AUX
fuelectenerg-2763	244	9	increased	increase	VERB
fuelectenerg-2763	244	10	by	by	ADP
fuelectenerg-2763	244	11	attaching	attach	VERB
fuelectenerg-2763	244	12	the	the	DET
fuelectenerg-2763	244	13	conditional	conditional	ADJ
fuelectenerg-2763	244	14	cost	cost	NOUN
fuelectenerg-2763	244	15	.	.	PUNCT
fuelectenerg-2763	245	1	5	5	X
fuelectenerg-2763	245	2	.	.	X
fuelectenerg-2763	245	3	applications	application	NOUN
fuelectenerg-2763	245	4	of	of	ADP
fuelectenerg-2763	245	5	new	new	ADJ
fuelectenerg-2763	245	6	design	design	NOUN
fuelectenerg-2763	245	7	in	in	ADP
fuelectenerg-2763	245	8	this	this	DET
fuelectenerg-2763	245	9	section	section	NOUN
fuelectenerg-2763	245	10	a	a	DET
fuelectenerg-2763	245	11	contemporary	contemporary	ADJ
fuelectenerg-2763	245	12	stream	stream	NOUN
fuelectenerg-2763	245	13	cipher	cipher	ADJ
fuelectenerg-2763	245	14	like	like	ADP
fuelectenerg-2763	245	15	snow	snow	NOUN
fuelectenerg-2763	245	16	2.0	2.0	NUM
fuelectenerg-2763	245	17	is	be	AUX
fuelectenerg-2763	245	18	used	use	VERB
fuelectenerg-2763	245	19	to	to	PART
fuelectenerg-2763	245	20	demonstrate	demonstrate	VERB
fuelectenerg-2763	245	21	the	the	DET
fuelectenerg-2763	245	22	application	application	NOUN
fuelectenerg-2763	245	23	of	of	ADP
fuelectenerg-2763	245	24	the	the	DET
fuelectenerg-2763	245	25	new	new	ADJ
fuelectenerg-2763	245	26	design	design	NOUN
fuelectenerg-2763	245	27	.	.	PUNCT
fuelectenerg-2763	246	1	this	this	DET
fuelectenerg-2763	246	2	application	application	NOUN
fuelectenerg-2763	246	3	explores	explore	VERB
fuelectenerg-2763	246	4	the	the	DET
fuelectenerg-2763	246	5	new	new	ADJ
fuelectenerg-2763	246	6	design	design	NOUN
fuelectenerg-2763	246	7	being	be	AUX
fuelectenerg-2763	246	8	deployed	deploy	VERB
fuelectenerg-2763	246	9	in	in	ADP
fuelectenerg-2763	246	10	a	a	DET
fuelectenerg-2763	246	11	stream	stream	NOUN
fuelectenerg-2763	246	12	cipher	cipher	ADJ
fuelectenerg-2763	246	13	that	that	PRON
fuelectenerg-2763	246	14	uses	use	VERB
fuelectenerg-2763	246	15	combiner	combiner	NOUN
fuelectenerg-2763	246	16	with	with	ADP
fuelectenerg-2763	246	17	memory	memory	NOUN
fuelectenerg-2763	246	18	.	.	PUNCT
fuelectenerg-2763	247	1	the	the	DET
fuelectenerg-2763	247	2	following	follow	VERB
fuelectenerg-2763	247	3	example	example	NOUN
fuelectenerg-2763	247	4	describes	describe	VERB
fuelectenerg-2763	247	5	the	the	DET
fuelectenerg-2763	247	6	new	new	ADJ
fuelectenerg-2763	247	7	design	design	NOUN
fuelectenerg-2763	247	8	being	be	AUX
fuelectenerg-2763	247	9	applied	apply	VERB
fuelectenerg-2763	247	10	in	in	ADP
fuelectenerg-2763	247	11	the	the	DET
fuelectenerg-2763	247	12	stream	stream	NOUN
fuelectenerg-2763	247	13	cipher	cipher	ADJ
fuelectenerg-2763	247	14	,	,	PUNCT
fuelectenerg-2763	247	15	snow	snow	NOUN
fuelectenerg-2763	247	16	2.0	2.0	NUM
fuelectenerg-2763	247	17	,	,	PUNCT
fuelectenerg-2763	247	18	which	which	PRON
fuelectenerg-2763	247	19	constitutes	constitute	VERB
fuelectenerg-2763	247	20	a	a	DET
fuelectenerg-2763	247	21	lfsr	lfsr	PROPN
fuelectenerg-2763	247	22	with	with	ADP
fuelectenerg-2763	247	23	non	non	ADJ
fuelectenerg-2763	247	24	-	-	ADJ
fuelectenerg-2763	247	25	linear	linear	ADJ
fuelectenerg-2763	247	26	feedback	feedback	NOUN
fuelectenerg-2763	247	27	and	and	CCONJ
fuelectenerg-2763	247	28	uses	use	VERB
fuelectenerg-2763	247	29	an	an	DET
fuelectenerg-2763	247	30	output	output	NOUN
fuelectenerg-2763	247	31	combiner	combiner	NOUN
fuelectenerg-2763	247	32	function	function	NOUN
fuelectenerg-2763	247	33	with	with	ADP
fuelectenerg-2763	247	34	memory	memory	NOUN
fuelectenerg-2763	247	35	[	[	X
fuelectenerg-2763	247	36	18	18	NUM
fuelectenerg-2763	247	37	]	]	PUNCT
fuelectenerg-2763	247	38	.	.	PUNCT
fuelectenerg-2763	248	1	5.1.1	5.1.1	NOUN
fuelectenerg-2763	248	2	.	.	PUNCT
fuelectenerg-2763	248	3	overview	overview	NOUN
fuelectenerg-2763	248	4	of	of	ADP
fuelectenerg-2763	248	5	snow	snow	NOUN
fuelectenerg-2763	248	6	2.0	2.0	NUM
fuelectenerg-2763	248	7	snow	snow	NOUN
fuelectenerg-2763	248	8	2.0	2.0	NUM
fuelectenerg-2763	248	9	uses	use	VERB
fuelectenerg-2763	248	10	a	a	DET
fuelectenerg-2763	248	11	length	length	NOUN
fuelectenerg-2763	248	12	16	16	NUM
fuelectenerg-2763	248	13	lfsr	lfsr	X
fuelectenerg-2763	248	14	over	over	ADP
fuelectenerg-2763	248	15	.	.	PUNCT
fuelectenerg-2763	249	1	in	in	ADP
fuelectenerg-2763	249	2	other	other	ADJ
fuelectenerg-2763	249	3	words	word	NOUN
fuelectenerg-2763	249	4	,	,	PUNCT
fuelectenerg-2763	249	5	the	the	DET
fuelectenerg-2763	249	6	lfsr	lfsr	PROPN
fuelectenerg-2763	249	7	has	have	VERB
fuelectenerg-2763	249	8	16	16	NUM
fuelectenerg-2763	249	9	elements	element	NOUN
fuelectenerg-2763	249	10	,	,	PUNCT
fuelectenerg-2763	249	11	or	or	CCONJ
fuelectenerg-2763	249	12	states	state	NOUN
fuelectenerg-2763	249	13	,	,	PUNCT
fuelectenerg-2763	249	14	but	but	CCONJ
fuelectenerg-2763	249	15	each	each	DET
fuelectenerg-2763	249	16	state	state	NOUN
fuelectenerg-2763	249	17	contains	contain	VERB
fuelectenerg-2763	249	18	a	a	DET
fuelectenerg-2763	249	19	32	32	NUM
fuelectenerg-2763	249	20	-	-	PUNCT
fuelectenerg-2763	249	21	bit	bit	NOUN
fuelectenerg-2763	249	22	word	word	NOUN
fuelectenerg-2763	249	23	.	.	PUNCT
fuelectenerg-2763	250	1	let	let	VERB
fuelectenerg-2763	250	2	,	,	PUNCT
fuelectenerg-2763	250	3	…	…	PUNCT
fuelectenerg-2763	250	4	,	,	PUNCT
fuelectenerg-2763	250	5	denote	denote	VERB
fuelectenerg-2763	250	6	the	the	DET
fuelectenerg-2763	250	7	states	state	NOUN
fuelectenerg-2763	250	8	of	of	ADP
fuelectenerg-2763	250	9	the	the	DET
fuelectenerg-2763	250	10	lfsr	lfsr	PROPN
fuelectenerg-2763	250	11	.	.	PUNCT
fuelectenerg-2763	251	1	the	the	DET
fuelectenerg-2763	251	2	feedback	feedback	NOUN
fuelectenerg-2763	251	3	function	function	NOUN
fuelectenerg-2763	251	4	is	be	AUX
fuelectenerg-2763	251	5	defined	define	VERB
fuelectenerg-2763	251	6	as	as	ADP
fuelectenerg-2763	251	7	the	the	DET
fuelectenerg-2763	251	8	xor	xor	PROPN
fuelectenerg-2763	251	9	combination	combination	NOUN
fuelectenerg-2763	251	10	of	of	ADP
fuelectenerg-2763	251	11	multiplied	multiply	VERB
fuelectenerg-2763	251	12	by	by	ADP
fuelectenerg-2763	251	13	,	,	PUNCT
fuelectenerg-2763	251	14	and	and	CCONJ
fuelectenerg-2763	251	15	divided	divide	VERB
fuelectenerg-2763	251	16	by	by	ADP
fuelectenerg-2763	251	17	.	.	PUNCT
fuelectenerg-2763	252	1	to	to	PART
fuelectenerg-2763	252	2	produce	produce	VERB
fuelectenerg-2763	252	3	the	the	DET
fuelectenerg-2763	252	4	output	output	NOUN
fuelectenerg-2763	252	5	key	key	ADJ
fuelectenerg-2763	252	6	stream	stream	NOUN
fuelectenerg-2763	252	7	,	,	PUNCT
fuelectenerg-2763	252	8	a	a	DET
fuelectenerg-2763	252	9	finite	finite	ADJ
fuelectenerg-2763	252	10	state	state	NOUN
fuelectenerg-2763	252	11	machine	machine	NOUN
fuelectenerg-2763	252	12	(	(	PUNCT
fuelectenerg-2763	252	13	fsm	fsm	PROPN
fuelectenerg-2763	252	14	)	)	PUNCT
fuelectenerg-2763	252	15	is	be	AUX
fuelectenerg-2763	252	16	used	use	VERB
fuelectenerg-2763	252	17	in	in	ADP
fuelectenerg-2763	252	18	conjunction	conjunction	NOUN
fuelectenerg-2763	252	19	with	with	ADP
fuelectenerg-2763	252	20	the	the	DET
fuelectenerg-2763	252	21	lfsr	lfsr	PROPN
fuelectenerg-2763	252	22	.	.	PUNCT
fuelectenerg-2763	253	1	the	the	DET
fuelectenerg-2763	253	2	fsm	fsm	PROPN
fuelectenerg-2763	253	3	contains	contain	VERB
fuelectenerg-2763	253	4	two	two	NUM
fuelectenerg-2763	253	5	32	32	NUM
fuelectenerg-2763	253	6	-	-	PUNCT
fuelectenerg-2763	253	7	bit	bit	NOUN
fuelectenerg-2763	253	8	registers	register	NOUN
fuelectenerg-2763	253	9	r1	r1	NOUN
fuelectenerg-2763	253	10	and	and	CCONJ
fuelectenerg-2763	253	11	r2	r2	PROPN
fuelectenerg-2763	253	12	.	.	PUNCT
fuelectenerg-2763	254	1	the	the	DET
fuelectenerg-2763	254	2	value	value	NOUN
fuelectenerg-2763	254	3	of	of	ADP
fuelectenerg-2763	254	4	r2	r2	PROPN
fuelectenerg-2763	254	5	is	be	AUX
fuelectenerg-2763	254	6	determined	determine	VERB
fuelectenerg-2763	254	7	by	by	ADP
fuelectenerg-2763	254	8	feeding	feed	VERB
fuelectenerg-2763	254	9	the	the	DET
fuelectenerg-2763	254	10	value	value	NOUN
fuelectenerg-2763	254	11	of	of	ADP
fuelectenerg-2763	254	12	r1	r1	PROPN
fuelectenerg-2763	254	13	through	through	ADP
fuelectenerg-2763	254	14	a	a	DET
fuelectenerg-2763	254	15	set	set	NOUN
fuelectenerg-2763	254	16	of	of	ADP
fuelectenerg-2763	254	17	aes	aes	PROPN
fuelectenerg-2763	254	18	s	s	NOUN
fuelectenerg-2763	254	19	-	-	PUNCT
fuelectenerg-2763	254	20	boxes	box	NOUN
fuelectenerg-2763	254	21	and	and	CCONJ
fuelectenerg-2763	254	22	the	the	DET
fuelectenerg-2763	254	23	aes	aes	NOUN
fuelectenerg-2763	254	24	mix	mix	NOUN
fuelectenerg-2763	254	25	column	column	NOUN
fuelectenerg-2763	254	26	function	function	NOUN
fuelectenerg-2763	254	27	.	.	PUNCT
fuelectenerg-2763	255	1	the	the	DET
fuelectenerg-2763	255	2	value	value	NOUN
fuelectenerg-2763	255	3	of	of	ADP
fuelectenerg-2763	255	4	r1	r1	PROPN
fuelectenerg-2763	255	5	is	be	AUX
fuelectenerg-2763	255	6	determined	determine	VERB
fuelectenerg-2763	255	7	by	by	ADP
fuelectenerg-2763	255	8	performing	perform	VERB
fuelectenerg-2763	255	9	addition	addition	NOUN
fuelectenerg-2763	255	10	modulo	modulo	NOUN
fuelectenerg-2763	255	11	232	232	NUM
fuelectenerg-2763	255	12	between	between	ADP
fuelectenerg-2763	255	13	r2	r2	PROPN
fuelectenerg-2763	255	14	and	and	CCONJ
fuelectenerg-2763	255	15	.	.	PUNCT
fuelectenerg-2763	256	1	finally	finally	ADV
fuelectenerg-2763	256	2	,	,	PUNCT
fuelectenerg-2763	256	3	the	the	DET
fuelectenerg-2763	256	4	output	output	NOUN
fuelectenerg-2763	256	5	combiner	combiner	NOUN
fuelectenerg-2763	256	6	function	function	NOUN
fuelectenerg-2763	256	7	is	be	AUX
fuelectenerg-2763	256	8	defined	define	VERB
fuelectenerg-2763	256	9	as	as	ADP
fuelectenerg-2763	256	10	first	first	ADV
fuelectenerg-2763	256	11	performing	perform	VERB
fuelectenerg-2763	256	12	addition	addition	NOUN
fuelectenerg-2763	256	13	modulo	modulo	NOUN
fuelectenerg-2763	256	14	between	between	ADP
fuelectenerg-2763	256	15	r1	r1	PROPN
fuelectenerg-2763	256	16	and	and	CCONJ
fuelectenerg-2763	256	17	,	,	PUNCT
fuelectenerg-2763	256	18	second	second	ADJ
fuelectenerg-2763	256	19	xoring	xoring	NOUN
fuelectenerg-2763	256	20	the	the	DET
fuelectenerg-2763	256	21	result	result	NOUN
fuelectenerg-2763	256	22	with	with	ADP
fuelectenerg-2763	256	23	r2	r2	NOUN
fuelectenerg-2763	256	24	,	,	PUNCT
fuelectenerg-2763	256	25	and	and	CCONJ
fuelectenerg-2763	256	26	finally	finally	ADV
fuelectenerg-2763	256	27	xoring	xore	VERB
fuelectenerg-2763	256	28	the	the	DET
fuelectenerg-2763	256	29	result	result	NOUN
fuelectenerg-2763	256	30	of	of	ADP
fuelectenerg-2763	256	31	the	the	DET
fuelectenerg-2763	256	32	former	former	ADJ
fuelectenerg-2763	256	33	with	with	ADP
fuelectenerg-2763	256	34	.	.	PUNCT
fuelectenerg-2763	257	1	consequently	consequently	ADV
fuelectenerg-2763	257	2	,	,	PUNCT
fuelectenerg-2763	257	3	snow	snow	NOUN
fuelectenerg-2763	257	4	2.0	2.0	NUM
fuelectenerg-2763	257	5	operates	operate	VERB
fuelectenerg-2763	257	6	in	in	ADP
fuelectenerg-2763	257	7	two	two	NUM
fuelectenerg-2763	257	8	modes	mode	NOUN
fuelectenerg-2763	257	9	:	:	PUNCT
fuelectenerg-2763	257	10	initialization	initialization	NOUN
fuelectenerg-2763	257	11	and	and	CCONJ
fuelectenerg-2763	257	12	key	key	ADJ
fuelectenerg-2763	257	13	stream	stream	NOUN
fuelectenerg-2763	257	14	generation	generation	NOUN
fuelectenerg-2763	257	15	;	;	PUNCT
fuelectenerg-2763	257	16	it	it	PRON
fuelectenerg-2763	257	17	uses	use	VERB
fuelectenerg-2763	257	18	a	a	DET
fuelectenerg-2763	257	19	128	128	NUM
fuelectenerg-2763	257	20	-	-	PUNCT
fuelectenerg-2763	257	21	bit	bit	NOUN
fuelectenerg-2763	257	22	secret	secret	ADJ
fuelectenerg-2763	257	23	key	key	NOUN
fuelectenerg-2763	257	24	and	and	CCONJ
fuelectenerg-2763	257	25	a	a	DET
fuelectenerg-2763	257	26	128bit	128bit	NUM
fuelectenerg-2763	257	27	initialization	initialization	NOUN
fuelectenerg-2763	257	28	vector	vector	NOUN
fuelectenerg-2763	257	29	in	in	ADP
fuelectenerg-2763	257	30	initialization	initialization	ADJ
fuelectenerg-2763	257	31	mode	mode	NOUN
fuelectenerg-2763	257	32	.	.	PUNCT
fuelectenerg-2763	258	1	5.1.2	5.1.2	X
fuelectenerg-2763	258	2	.	.	X
fuelectenerg-2763	258	3	application	application	NOUN
fuelectenerg-2763	258	4	of	of	ADP
fuelectenerg-2763	258	5	the	the	DET
fuelectenerg-2763	258	6	new	new	ADJ
fuelectenerg-2763	258	7	design	design	NOUN
fuelectenerg-2763	258	8	the	the	DET
fuelectenerg-2763	258	9	new	new	ADJ
fuelectenerg-2763	258	10	design	design	NOUN
fuelectenerg-2763	258	11	is	be	AUX
fuelectenerg-2763	258	12	used	use	VERB
fuelectenerg-2763	258	13	to	to	PART
fuelectenerg-2763	258	14	replace	replace	VERB
fuelectenerg-2763	258	15	the	the	DET
fuelectenerg-2763	258	16	two	two	NUM
fuelectenerg-2763	258	17	modulo	modulo	NOUN
fuelectenerg-2763	258	18	additions	addition	NOUN
fuelectenerg-2763	258	19	and	and	CCONJ
fuelectenerg-2763	258	20	the	the	DET
fuelectenerg-2763	258	21	user	user	NOUN
fuelectenerg-2763	258	22	-	-	PUNCT
fuelectenerg-2763	258	23	defined	define	VERB
fuelectenerg-2763	258	24	parameter	parameter	NOUN
fuelectenerg-2763	258	25	m	m	NOUN
fuelectenerg-2763	258	26	is	be	AUX
fuelectenerg-2763	258	27	chosen	choose	VERB
fuelectenerg-2763	258	28	to	to	PART
fuelectenerg-2763	258	29	be	be	AUX
fuelectenerg-2763	258	30	3	3	NUM
fuelectenerg-2763	258	31	.	.	PUNCT
fuelectenerg-2763	259	1	there	there	PRON
fuelectenerg-2763	259	2	are	be	VERB
fuelectenerg-2763	259	3	288	288	NUM
fuelectenerg-2763	259	4	extra	extra	ADJ
fuelectenerg-2763	259	5	bits	bit	NOUN
fuelectenerg-2763	259	6	required	require	VERB
fuelectenerg-2763	259	7	to	to	PART
fuelectenerg-2763	259	8	supply	supply	VERB
fuelectenerg-2763	259	9	the	the	DET
fuelectenerg-2763	259	10	input	input	NOUN
fuelectenerg-2763	259	11	and	and	CCONJ
fuelectenerg-2763	259	12	output	output	NOUN
fuelectenerg-2763	259	13	control	control	NOUN
fuelectenerg-2763	259	14	strings	string	NOUN
fuelectenerg-2763	259	15	of	of	ADP
fuelectenerg-2763	259	16	each	each	DET
fuelectenerg-2763	259	17	addition	addition	NOUN
fuelectenerg-2763	259	18	because	because	SCONJ
fuelectenerg-2763	259	19	for	for	ADP
fuelectenerg-2763	259	20	each	each	DET
fuelectenerg-2763	259	21	input	input	NOUN
fuelectenerg-2763	259	22	bit	bit	NOUN
fuelectenerg-2763	259	23	of	of	ADP
fuelectenerg-2763	259	24	the	the	DET
fuelectenerg-2763	259	25	32	32	NUM
fuelectenerg-2763	259	26	-	-	PUNCT
fuelectenerg-2763	259	27	bit	bit	NOUN
fuelectenerg-2763	259	28	addition	addition	NOUN
fuelectenerg-2763	259	29	,	,	PUNCT
fuelectenerg-2763	259	30	a	a	DET
fuelectenerg-2763	259	31	3	3	NUM
fuelectenerg-2763	259	32	-	-	PUNCT
fuelectenerg-2763	259	33	bit	bit	NOUN
fuelectenerg-2763	259	34	control	control	NOUN
fuelectenerg-2763	259	35	string	string	NOUN
fuelectenerg-2763	259	36	is	be	AUX
fuelectenerg-2763	259	37	needed	need	VERB
fuelectenerg-2763	259	38	.	.	PUNCT
fuelectenerg-2763	260	1	therefore	therefore	ADV
fuelectenerg-2763	260	2	,	,	PUNCT
fuelectenerg-2763	260	3	576	576	NUM
fuelectenerg-2763	260	4	bits	bit	NOUN
fuelectenerg-2763	260	5	in	in	ADP
fuelectenerg-2763	260	6	total	total	NOUN
fuelectenerg-2763	260	7	are	be	AUX
fuelectenerg-2763	260	8	required	require	VERB
fuelectenerg-2763	260	9	for	for	ADP
fuelectenerg-2763	260	10	two	two	NUM
fuelectenerg-2763	260	11	additions	addition	NOUN
fuelectenerg-2763	260	12	.	.	PUNCT
fuelectenerg-2763	261	1	again	again	ADV
fuelectenerg-2763	261	2	,	,	PUNCT
fuelectenerg-2763	261	3	many	many	ADJ
fuelectenerg-2763	261	4	ways	way	NOUN
fuelectenerg-2763	261	5	can	can	AUX
fuelectenerg-2763	261	6	be	be	AUX
fuelectenerg-2763	261	7	utilized	utilize	VERB
fuelectenerg-2763	261	8	to	to	PART
fuelectenerg-2763	261	9	generate	generate	VERB
fuelectenerg-2763	261	10	the	the	DET
fuelectenerg-2763	261	11	extra	extra	ADJ
fuelectenerg-2763	261	12	bits	bit	NOUN
fuelectenerg-2763	261	13	.	.	PUNCT
fuelectenerg-2763	262	1	in	in	ADP
fuelectenerg-2763	262	2	this	this	DET
fuelectenerg-2763	262	3	case	case	NOUN
fuelectenerg-2763	262	4	,	,	PUNCT
fuelectenerg-2763	262	5	is	be	AUX
fuelectenerg-2763	262	6	used	use	VERB
fuelectenerg-2763	262	7	to	to	PART
fuelectenerg-2763	262	8	generate	generate	VERB
fuelectenerg-2763	262	9	288	288	NUM
fuelectenerg-2763	262	10	bits	bit	NOUN
fuelectenerg-2763	262	11	and	and	CCONJ
fuelectenerg-2763	262	12	the	the	DET
fuelectenerg-2763	262	13	same	same	ADJ
fuelectenerg-2763	262	14	set	set	NOUN
fuelectenerg-2763	262	15	of	of	ADP
fuelectenerg-2763	262	16	bits	bit	NOUN
fuelectenerg-2763	262	17	is	be	AUX
fuelectenerg-2763	262	18	used	use	VERB
fuelectenerg-2763	262	19	for	for	ADP
fuelectenerg-2763	262	20	the	the	DET
fuelectenerg-2763	262	21	two	two	NUM
fuelectenerg-2763	262	22	insertions	insertion	NOUN
fuelectenerg-2763	262	23	of	of	ADP
fuelectenerg-2763	262	24	the	the	DET
fuelectenerg-2763	262	25	new	new	ADJ
fuelectenerg-2763	262	26	design	design	NOUN
fuelectenerg-2763	262	27	.	.	PUNCT
fuelectenerg-2763	263	1	the	the	DET
fuelectenerg-2763	263	2	generation	generation	NOUN
fuelectenerg-2763	263	3	logic	logic	NOUN
fuelectenerg-2763	263	4	is	be	AUX
fuelectenerg-2763	263	5	defined	define	VERB
fuelectenerg-2763	263	6	as	as	ADP
fuelectenerg-2763	263	7	the	the	DET
fuelectenerg-2763	263	8	following	following	NOUN
fuelectenerg-2763	263	9	:	:	PUNCT
fuelectenerg-2763	263	10			X
fuelectenerg-2763	263	11	for	for	ADP
fuelectenerg-2763	263	12	each	each	DET
fuelectenerg-2763	263	13	bit	bit	NOUN
fuelectenerg-2763	263	14	of	of	ADP
fuelectenerg-2763	263	15	the	the	DET
fuelectenerg-2763	263	16	first	first	ADJ
fuelectenerg-2763	263	17	input	input	NOUN
fuelectenerg-2763	263	18	x	x	ADP
fuelectenerg-2763	263	19	,	,	PUNCT
fuelectenerg-2763	263	20	there	there	PRON
fuelectenerg-2763	263	21	are	be	VERB
fuelectenerg-2763	263	22	3	3	NUM
fuelectenerg-2763	263	23	input	input	NOUN
fuelectenerg-2763	263	24	control	control	NOUN
fuelectenerg-2763	263	25	bits	bit	NOUN
fuelectenerg-2763	263	26	needed	need	VERB
fuelectenerg-2763	263	27	.	.	PUNCT
fuelectenerg-2763	264	1	they	they	PRON
fuelectenerg-2763	264	2	will	will	AUX
fuelectenerg-2763	264	3	be	be	AUX
fuelectenerg-2763	264	4	the	the	DET
fuelectenerg-2763	264	5	3	3	NUM
fuelectenerg-2763	264	6	lsbs	lsbs	NOUN
fuelectenerg-2763	264	7	of	of	ADP
fuelectenerg-2763	264	8	the	the	DET
fuelectenerg-2763	264	9	3	3	NUM
fuelectenerg-2763	264	10	-	-	PUNCT
fuelectenerg-2763	264	11	bit	bit	NOUN
fuelectenerg-2763	264	12	circular	circular	ADJ
fuelectenerg-2763	264	13	-	-	PUNCT
fuelectenerg-2763	264	14	left	leave	VERB
fuelectenerg-2763	264	15	-	-	PUNCT
fuelectenerg-2763	264	16	shifted	shift	VERB
fuelectenerg-2763	264	17	.	.	PUNCT
fuelectenerg-2763	265	1	for	for	ADP
fuelectenerg-2763	265	2	example	example	NOUN
fuelectenerg-2763	265	3	:	:	PUNCT
fuelectenerg-2763	265	4	ki	ki	PROPN
fuelectenerg-2763	265	5	=	=	PUNCT
fuelectenerg-2763	265	6	(	(	PUNCT
fuelectenerg-2763	265	7	,	,	PUNCT
fuelectenerg-2763	265	8	,	,	PUNCT
fuelectenerg-2763	265	9	)	)	PUNCT
fuelectenerg-2763	265	10	and	and	CCONJ
fuelectenerg-2763	265	11	ki	ki	PROPN
fuelectenerg-2763	265	12	=	=	PUNCT
fuelectenerg-2763	265	13	(	(	PUNCT
fuelectenerg-2763	265	14	,	,	PUNCT
fuelectenerg-2763	265	15	,	,	PUNCT
fuelectenerg-2763	265	16	)	)	PUNCT
fuelectenerg-2763	265	17	.	.	PUNCT
fuelectenerg-2763	266	1			PUNCT
fuelectenerg-2763	267	1	for	for	ADP
fuelectenerg-2763	267	2	each	each	DET
fuelectenerg-2763	267	3	bit	bit	NOUN
fuelectenerg-2763	267	4	of	of	ADP
fuelectenerg-2763	267	5	the	the	DET
fuelectenerg-2763	267	6	second	second	ADJ
fuelectenerg-2763	267	7	input	input	NOUN
fuelectenerg-2763	267	8	y	y	PROPN
fuelectenerg-2763	267	9	,	,	PUNCT
fuelectenerg-2763	267	10	the	the	DET
fuelectenerg-2763	267	11	3	3	NUM
fuelectenerg-2763	267	12	input	input	NOUN
fuelectenerg-2763	267	13	control	control	NOUN
fuelectenerg-2763	267	14	bits	bit	NOUN
fuelectenerg-2763	267	15	will	will	AUX
fuelectenerg-2763	267	16	come	come	VERB
fuelectenerg-2763	267	17	from	from	ADP
fuelectenerg-2763	267	18	the	the	DET
fuelectenerg-2763	267	19	3	3	NUM
fuelectenerg-2763	267	20	lsbs	lsbs	NOUN
fuelectenerg-2763	267	21	of	of	ADP
fuelectenerg-2763	267	22	the	the	DET
fuelectenerg-2763	267	23	3	3	NUM
fuelectenerg-2763	267	24	-	-	PUNCT
fuelectenerg-2763	267	25	bit	bit	NOUN
fuelectenerg-2763	267	26	circular	circular	ADJ
fuelectenerg-2763	267	27	-	-	PUNCT
fuelectenerg-2763	267	28	right	right	ADV
fuelectenerg-2763	267	29	-	-	PUNCT
fuelectenerg-2763	267	30	shifted	shift	VERB
fuelectenerg-2763	267	31	and	and	CCONJ
fuelectenerg-2763	267	32	inverted	inverted	ADJ
fuelectenerg-2763	267	33	.	.	PUNCT
fuelectenerg-2763	268	1	let	let	VERB
fuelectenerg-2763	268	2	denotes	denote	NOUN
fuelectenerg-2763	268	3	the	the	DET
fuelectenerg-2763	268	4	bit	bit	ADV
fuelectenerg-2763	268	5	-	-	PUNCT
fuelectenerg-2763	268	6	wise	wise	ADJ
fuelectenerg-2763	268	7	inverted	inverted	ADJ
fuelectenerg-2763	268	8	.	.	PUNCT
fuelectenerg-2763	269	1	then	then	ADV
fuelectenerg-2763	269	2	,	,	PUNCT
fuelectenerg-2763	269	3	ki	ki	PROPN
fuelectenerg-2763	269	4	=	=	PUNCT
fuelectenerg-2763	269	5	(	(	PUNCT
fuelectenerg-2763	269	6	,	,	PUNCT
fuelectenerg-2763	269	7	,	,	PUNCT
fuelectenerg-2763	269	8	)	)	PUNCT
fuelectenerg-2763	269	9	and	and	CCONJ
fuelectenerg-2763	269	10	ki	ki	PROPN
fuelectenerg-2763	269	11	=	=	PUNCT
fuelectenerg-2763	269	12	(	(	PUNCT
fuelectenerg-2763	269	13	,	,	PUNCT
fuelectenerg-2763	269	14	,	,	PUNCT
fuelectenerg-2763	269	15	)	)	PUNCT
fuelectenerg-2763	269	16	.	.	PUNCT
fuelectenerg-2763	270	1			PROPN
fuelectenerg-2763	271	1	for	for	ADP
fuelectenerg-2763	271	2	the	the	DET
fuelectenerg-2763	271	3	output	output	NOUN
fuelectenerg-2763	271	4	control	control	PROPN
fuelectenerg-2763	271	5	string	string	PROPN
fuelectenerg-2763	271	6	,	,	PUNCT
fuelectenerg-2763	271	7	each	each	DET
fuelectenerg-2763	271	8	3	3	NUM
fuelectenerg-2763	271	9	output	output	NOUN
fuelectenerg-2763	271	10	control	control	NOUN
fuelectenerg-2763	271	11	bits	bit	NOUN
fuelectenerg-2763	271	12	come	come	VERB
fuelectenerg-2763	271	13	from	from	ADP
fuelectenerg-2763	271	14	the	the	DET
fuelectenerg-2763	271	15	3	3	NUM
fuelectenerg-2763	271	16	lsbs	lsbs	NOUN
fuelectenerg-2763	271	17	of	of	ADP
fuelectenerg-2763	271	18	the	the	DET
fuelectenerg-2763	271	19	3bit	3bit	NOUN
fuelectenerg-2763	271	20	circular	circular	ADJ
fuelectenerg-2763	271	21	-	-	PUNCT
fuelectenerg-2763	271	22	right	right	NOUN
fuelectenerg-2763	271	23	-	-	PUNCT
fuelectenerg-2763	271	24	shifted	shift	VERB
fuelectenerg-2763	271	25	.	.	PUNCT
fuelectenerg-2763	272	1	for	for	ADP
fuelectenerg-2763	272	2	example	example	NOUN
fuelectenerg-2763	272	3	:	:	PUNCT
fuelectenerg-2763	272	4	k	k	X
fuelectenerg-2763	272	5	=	=	PUNCT
fuelectenerg-2763	272	6	(	(	PUNCT
fuelectenerg-2763	272	7	,	,	PUNCT
fuelectenerg-2763	272	8	)	)	PUNCT
fuelectenerg-2763	272	9	and	and	CCONJ
fuelectenerg-2763	272	10	k	k	X
fuelectenerg-2763	272	11	=	=	PRON
fuelectenerg-2763	272	12	(	(	PUNCT
fuelectenerg-2763	272	13	,	,	PUNCT
fuelectenerg-2763	272	14	,	,	PUNCT
fuelectenerg-2763	272	15	)	)	PUNCT
fuelectenerg-2763	272	16	.	.	PUNCT
fuelectenerg-2763	273	1	this	this	DET
fuelectenerg-2763	273	2	setup	setup	NOUN
fuelectenerg-2763	273	3	can	can	AUX
fuelectenerg-2763	273	4	at	at	ADP
fuelectenerg-2763	273	5	least	least	ADJ
fuelectenerg-2763	273	6	guarantee	guarantee	VERB
fuelectenerg-2763	273	7	that	that	SCONJ
fuelectenerg-2763	273	8	the	the	DET
fuelectenerg-2763	273	9	input	input	NOUN
fuelectenerg-2763	273	10	control	control	NOUN
fuelectenerg-2763	273	11	bits	bit	NOUN
fuelectenerg-2763	273	12	for	for	ADP
fuelectenerg-2763	273	13	the	the	DET
fuelectenerg-2763	273	14	first	first	ADJ
fuelectenerg-2763	273	15	input	input	NOUN
fuelectenerg-2763	273	16	pair	pair	NOUN
fuelectenerg-2763	273	17	will	will	AUX
fuelectenerg-2763	273	18	not	not	PART
fuelectenerg-2763	273	19	be	be	AUX
fuelectenerg-2763	273	20	all	all	PRON
fuelectenerg-2763	273	21	0	0	NOUN
fuelectenerg-2763	273	22	’s	’s	PART
fuelectenerg-2763	273	23	simultaneously	simultaneously	ADV
fuelectenerg-2763	273	24	.	.	PUNCT
fuelectenerg-2763	274	1	the	the	DET
fuelectenerg-2763	274	2	new	new	ADJ
fuelectenerg-2763	274	3	snow	snow	NOUN
fuelectenerg-2763	274	4	2.0	2.0	NUM
fuelectenerg-2763	274	5	setup	setup	NOUN
fuelectenerg-2763	274	6	is	be	AUX
fuelectenerg-2763	274	7	shown	show	VERB
fuelectenerg-2763	274	8	in	in	ADP
fuelectenerg-2763	274	9	table	table	NOUN
fuelectenerg-2763	274	10	5	5	NUM
fuelectenerg-2763	274	11	.	.	PUNCT
fuelectenerg-2763	275	1	the	the	DET
fuelectenerg-2763	275	2	secret	secret	ADJ
fuelectenerg-2763	275	3	key	key	NOUN
fuelectenerg-2763	275	4	a	a	DET
fuelectenerg-2763	275	5	novel	novel	ADJ
fuelectenerg-2763	275	6	architecture	architecture	NOUN
fuelectenerg-2763	275	7	with	with	ADP
fuelectenerg-2763	275	8	scalable	scalable	ADJ
fuelectenerg-2763	275	9	security	security	NOUN
fuelectenerg-2763	275	10	having	have	VERB
fuelectenerg-2763	275	11	expandable	expandable	ADJ
fuelectenerg-2763	275	12	computational	computational	ADJ
fuelectenerg-2763	275	13	complexity	complexity	NOUN
fuelectenerg-2763	275	14	473	473	NUM
fuelectenerg-2763	275	15	and	and	CCONJ
fuelectenerg-2763	275	16	the	the	DET
fuelectenerg-2763	275	17	initialization	initialization	NOUN
fuelectenerg-2763	275	18	vector	vector	NOUN
fuelectenerg-2763	275	19	are	be	AUX
fuelectenerg-2763	275	20	defined	define	VERB
fuelectenerg-2763	275	21	as	as	ADP
fuelectenerg-2763	275	22	given	give	VERB
fuelectenerg-2763	275	23	in	in	ADP
fuelectenerg-2763	275	24	the	the	DET
fuelectenerg-2763	275	25	table	table	NOUN
fuelectenerg-2763	275	26	5	5	NUM
fuelectenerg-2763	275	27	.	.	PUNCT
fuelectenerg-2763	276	1	this	this	PRON
fuelectenerg-2763	276	2	is	be	AUX
fuelectenerg-2763	276	3	one	one	NUM
fuelectenerg-2763	276	4	of	of	ADP
fuelectenerg-2763	276	5	the	the	DET
fuelectenerg-2763	276	6	test	test	NOUN
fuelectenerg-2763	276	7	vectors	vector	NOUN
fuelectenerg-2763	276	8	listed	list	VERB
fuelectenerg-2763	276	9	in	in	ADP
fuelectenerg-2763	276	10	[	[	X
fuelectenerg-2763	276	11	18	18	NUM
fuelectenerg-2763	276	12	]	]	PUNCT
fuelectenerg-2763	276	13	.	.	PUNCT
fuelectenerg-2763	277	1	at	at	ADP
fuelectenerg-2763	277	2	this	this	DET
fuelectenerg-2763	277	3	specific	specific	ADJ
fuelectenerg-2763	277	4	timeframe	timeframe	NOUN
fuelectenerg-2763	277	5	,	,	PUNCT
fuelectenerg-2763	277	6	s15	s15	NOUN
fuelectenerg-2763	277	7	=	=	SYM
fuelectenerg-2763	277	8	0xcc15a50b	0xcc15a50b	ADJ
fuelectenerg-2763	277	9	,	,	PUNCT
fuelectenerg-2763	277	10	r1	r1	NOUN
fuelectenerg-2763	277	11	=	=	SYM
fuelectenerg-2763	277	12	0xaab91a68	0xaab91a68	NOUN
fuelectenerg-2763	277	13	,	,	PUNCT
fuelectenerg-2763	277	14	and	and	CCONJ
fuelectenerg-2763	277	15	s14	s14	NOUN
fuelectenerg-2763	277	16	=	=	SYM
fuelectenerg-2763	277	17	0x5164b6d9	0x5164b6d9	NOUN
fuelectenerg-2763	277	18	.	.	PUNCT
fuelectenerg-2763	278	1	the	the	DET
fuelectenerg-2763	278	2	output	output	NOUN
fuelectenerg-2763	278	3	of	of	ADP
fuelectenerg-2763	278	4	the	the	DET
fuelectenerg-2763	278	5	new	new	ADJ
fuelectenerg-2763	278	6	design	design	NOUN
fuelectenerg-2763	278	7	here	here	ADV
fuelectenerg-2763	278	8	is	be	AUX
fuelectenerg-2763	278	9	0x37f7b4f7	0x37f7b4f7	NUM
fuelectenerg-2763	278	10	while	while	SCONJ
fuelectenerg-2763	278	11	the	the	DET
fuelectenerg-2763	278	12	original	original	ADJ
fuelectenerg-2763	278	13	modulo	modulo	NOUN
fuelectenerg-2763	278	14	addition	addition	NOUN
fuelectenerg-2763	278	15	gives	give	VERB
fuelectenerg-2763	278	16	0x76cebf73	0x76cebf73	NOUN
fuelectenerg-2763	278	17	.	.	PUNCT
fuelectenerg-2763	279	1	also	also	ADV
fuelectenerg-2763	279	2	,	,	PUNCT
fuelectenerg-2763	279	3	the	the	DET
fuelectenerg-2763	279	4	first	first	ADJ
fuelectenerg-2763	279	5	output	output	NOUN
fuelectenerg-2763	279	6	key	key	ADJ
fuelectenerg-2763	279	7	stream	stream	NOUN
fuelectenerg-2763	279	8	of	of	ADP
fuelectenerg-2763	279	9	new	new	ADJ
fuelectenerg-2763	279	10	snow	snow	NOUN
fuelectenerg-2763	279	11	2.0	2.0	NUM
fuelectenerg-2763	279	12	is	be	AUX
fuelectenerg-2763	279	13	0x91cc022f	0x91cc022f	NUM
fuelectenerg-2763	279	14	and	and	CCONJ
fuelectenerg-2763	279	15	the	the	DET
fuelectenerg-2763	279	16	original	original	ADJ
fuelectenerg-2763	279	17	key	key	ADJ
fuelectenerg-2763	279	18	stream	stream	NOUN
fuelectenerg-2763	279	19	is	be	AUX
fuelectenerg-2763	279	20	0xc355385d	0xc355385d	NOUN
fuelectenerg-2763	279	21	.	.	PUNCT
fuelectenerg-2763	280	1	table	table	NOUN
fuelectenerg-2763	280	2	5	5	NUM
fuelectenerg-2763	280	3	snow	snow	NOUN
fuelectenerg-2763	280	4	2.0	2.0	NUM
fuelectenerg-2763	280	5	test	test	NOUN
fuelectenerg-2763	280	6	vectors	vector	NOUN
fuelectenerg-2763	280	7	[	[	X
fuelectenerg-2763	280	8	24	24	NUM
fuelectenerg-2763	280	9	]	]	PUNCT
fuelectenerg-2763	280	10	attribute	attribute	NOUN
fuelectenerg-2763	280	11	hexadecimal	hexadecimal	ADJ
fuelectenerg-2763	280	12	value	value	NOUN
fuelectenerg-2763	280	13	secret	secret	ADJ
fuelectenerg-2763	280	14	key(k	key(k	PROPN
fuelectenerg-2763	280	15	)	)	PUNCT
fuelectenerg-2763	280	16	x	x	SYM
fuelectenerg-2763	280	17	initialization	initialization	NOUN
fuelectenerg-2763	280	18	vector	vector	NOUN
fuelectenerg-2763	280	19	(	(	PUNCT
fuelectenerg-2763	280	20	iv	iv	X
fuelectenerg-2763	280	21	)	)	PUNCT
fuelectenerg-2763	280	22	x	x	X
fuelectenerg-2763	281	1	5.1.3	5.1.3	X
fuelectenerg-2763	281	2	.	.	PUNCT
fuelectenerg-2763	281	3	analysis	analysis	NOUN
fuelectenerg-2763	281	4	of	of	ADP
fuelectenerg-2763	281	5	new	new	ADJ
fuelectenerg-2763	281	6	snow	snow	NOUN
fuelectenerg-2763	281	7	2.0	2.0	NUM
fuelectenerg-2763	281	8	algebraic	algebraic	ADJ
fuelectenerg-2763	281	9	attack	attack	NOUN
fuelectenerg-2763	281	10	on	on	ADP
fuelectenerg-2763	281	11	snow	snow	NOUN
fuelectenerg-2763	281	12	2.0	2.0	NUM
fuelectenerg-2763	281	13	has	have	AUX
fuelectenerg-2763	281	14	been	be	AUX
fuelectenerg-2763	281	15	studied	study	VERB
fuelectenerg-2763	281	16	in	in	ADP
fuelectenerg-2763	281	17	[	[	X
fuelectenerg-2763	281	18	26	26	NUM
fuelectenerg-2763	281	19	]	]	PUNCT
fuelectenerg-2763	281	20	and	and	CCONJ
fuelectenerg-2763	281	21	[	[	X
fuelectenerg-2763	281	22	20	20	NUM
fuelectenerg-2763	281	23	]	]	PUNCT
fuelectenerg-2763	281	24	.	.	PUNCT
fuelectenerg-2763	282	1	two	two	NUM
fuelectenerg-2763	282	2	methods	method	NOUN
fuelectenerg-2763	282	3	have	have	AUX
fuelectenerg-2763	282	4	been	be	AUX
fuelectenerg-2763	282	5	proposed	propose	VERB
fuelectenerg-2763	282	6	to	to	PART
fuelectenerg-2763	282	7	linearize	linearize	VERB
fuelectenerg-2763	282	8	the	the	DET
fuelectenerg-2763	282	9	addition	addition	NOUN
fuelectenerg-2763	282	10	modulo	modulo	VERB
fuelectenerg-2763	282	11	2	2	NUM
fuelectenerg-2763	282	12	32	32	NUM
fuelectenerg-2763	282	13	in	in	ADP
fuelectenerg-2763	282	14	the	the	DET
fuelectenerg-2763	282	15	stream	stream	NOUN
fuelectenerg-2763	282	16	cipher	cipher	ADJ
fuelectenerg-2763	282	17	.	.	PUNCT
fuelectenerg-2763	283	1	the	the	DET
fuelectenerg-2763	283	2	first	first	ADJ
fuelectenerg-2763	283	3	method	method	NOUN
fuelectenerg-2763	283	4	is	be	AUX
fuelectenerg-2763	283	5	relatively	relatively	ADV
fuelectenerg-2763	283	6	straightforward	straightforward	ADJ
fuelectenerg-2763	283	7	,	,	PUNCT
fuelectenerg-2763	283	8	as	as	SCONJ
fuelectenerg-2763	283	9	the	the	DET
fuelectenerg-2763	283	10	modulo	modulo	NOUN
fuelectenerg-2763	283	11	addition	addition	NOUN
fuelectenerg-2763	283	12	can	can	AUX
fuelectenerg-2763	283	13	be	be	AUX
fuelectenerg-2763	283	14	completely	completely	ADV
fuelectenerg-2763	283	15	linearized	linearize	VERB
fuelectenerg-2763	283	16	when	when	SCONJ
fuelectenerg-2763	283	17	there	there	PRON
fuelectenerg-2763	283	18	are	be	VERB
fuelectenerg-2763	283	19	no	no	DET
fuelectenerg-2763	283	20	carries	carry	NOUN
fuelectenerg-2763	283	21	.	.	PUNCT
fuelectenerg-2763	284	1	the	the	DET
fuelectenerg-2763	284	2	probability	probability	NOUN
fuelectenerg-2763	284	3	of	of	ADP
fuelectenerg-2763	284	4	this	this	DET
fuelectenerg-2763	284	5	occurring	occurring	NOUN
fuelectenerg-2763	284	6	can	can	AUX
fuelectenerg-2763	284	7	be	be	AUX
fuelectenerg-2763	284	8	estimated	estimate	VERB
fuelectenerg-2763	284	9	using	use	VERB
fuelectenerg-2763	284	10	(	(	PUNCT
fuelectenerg-2763	284	11	9	9	NUM
fuelectenerg-2763	284	12	)	)	PUNCT
fuelectenerg-2763	284	13	.	.	PUNCT
fuelectenerg-2763	285	1	to	to	PART
fuelectenerg-2763	285	2	be	be	AUX
fuelectenerg-2763	285	3	more	more	ADV
fuelectenerg-2763	285	4	precise	precise	ADJ
fuelectenerg-2763	285	5	,	,	PUNCT
fuelectenerg-2763	285	6	the	the	DET
fuelectenerg-2763	285	7	condition	condition	NOUN
fuelectenerg-2763	285	8	is	be	AUX
fuelectenerg-2763	285	9	satisfied	satisfied	ADJ
fuelectenerg-2763	285	10	as	as	ADV
fuelectenerg-2763	285	11	long	long	ADV
fuelectenerg-2763	285	12	as	as	SCONJ
fuelectenerg-2763	285	13	each	each	DET
fuelectenerg-2763	285	14	input	input	NOUN
fuelectenerg-2763	285	15	pair	pair	NOUN
fuelectenerg-2763	285	16	does	do	AUX
fuelectenerg-2763	285	17	not	not	PART
fuelectenerg-2763	285	18	generate	generate	VERB
fuelectenerg-2763	285	19	a	a	DET
fuelectenerg-2763	285	20	carry	carry	NOUN
fuelectenerg-2763	285	21	.	.	PUNCT
fuelectenerg-2763	286	1	the	the	DET
fuelectenerg-2763	286	2	probability	probability	NOUN
fuelectenerg-2763	286	3	of	of	ADP
fuelectenerg-2763	286	4	this	this	DET
fuelectenerg-2763	286	5	happening	happening	NOUN
fuelectenerg-2763	286	6	is	be	AUX
fuelectenerg-2763	286	7	(	(	PUNCT
fuelectenerg-2763	286	8	3/4	3/4	NUM
fuelectenerg-2763	286	9	)	)	PUNCT
fuelectenerg-2763	286	10	31	31	NUM
fuelectenerg-2763	286	11	because	because	SCONJ
fuelectenerg-2763	286	12	the	the	DET
fuelectenerg-2763	286	13	probability	probability	NOUN
fuelectenerg-2763	286	14	of	of	ADP
fuelectenerg-2763	286	15	an	an	DET
fuelectenerg-2763	286	16	input	input	NOUN
fuelectenerg-2763	286	17	pair	pair	NOUN
fuelectenerg-2763	286	18	to	to	PART
fuelectenerg-2763	286	19	generate	generate	VERB
fuelectenerg-2763	286	20	no	no	DET
fuelectenerg-2763	286	21	carries	carry	VERB
fuelectenerg-2763	286	22	is	be	AUX
fuelectenerg-2763	286	23	(	(	PUNCT
fuelectenerg-2763	286	24	3/4	3/4	NUM
fuelectenerg-2763	286	25	)	)	PUNCT
fuelectenerg-2763	286	26	.	.	PUNCT
fuelectenerg-2763	287	1	the	the	DET
fuelectenerg-2763	287	2	author	author	NOUN
fuelectenerg-2763	287	3	in	in	ADP
fuelectenerg-2763	287	4	[	[	X
fuelectenerg-2763	287	5	26	26	NUM
fuelectenerg-2763	287	6	]	]	PUNCT
fuelectenerg-2763	287	7	seeks	seek	VERB
fuelectenerg-2763	287	8	to	to	PART
fuelectenerg-2763	287	9	use	use	VERB
fuelectenerg-2763	287	10	this	this	DET
fuelectenerg-2763	287	11	condition	condition	NOUN
fuelectenerg-2763	287	12	for	for	ADP
fuelectenerg-2763	287	13	both	both	DET
fuelectenerg-2763	287	14	additions	addition	NOUN
fuelectenerg-2763	287	15	and	and	CCONJ
fuelectenerg-2763	287	16	for	for	ADP
fuelectenerg-2763	287	17	17	17	NUM
fuelectenerg-2763	287	18	consecutive	consecutive	ADJ
fuelectenerg-2763	287	19	cycles	cycle	NOUN
fuelectenerg-2763	287	20	.	.	PUNCT
fuelectenerg-2763	288	1	the	the	DET
fuelectenerg-2763	288	2	probability	probability	NOUN
fuelectenerg-2763	288	3	of	of	ADP
fuelectenerg-2763	288	4	this	this	PRON
fuelectenerg-2763	288	5	is	be	AUX
fuelectenerg-2763	288	6	⁄	⁄	PROPN
fuelectenerg-2763	288	7	,	,	PUNCT
fuelectenerg-2763	288	8	which	which	PRON
fuelectenerg-2763	288	9	is	be	AUX
fuelectenerg-2763	288	10	close	close	ADJ
fuelectenerg-2763	288	11	to	to	ADP
fuelectenerg-2763	288	12	exhaustive	exhaustive	ADJ
fuelectenerg-2763	288	13	search	search	NOUN
fuelectenerg-2763	288	14	2	2	NUM
fuelectenerg-2763	288	15	-576	-576	PROPN
fuelectenerg-2763	288	16	.	.	PUNCT
fuelectenerg-2763	289	1	in	in	ADP
fuelectenerg-2763	289	2	snow	snow	NOUN
fuelectenerg-2763	289	3	2.0	2.0	NUM
fuelectenerg-2763	289	4	,	,	PUNCT
fuelectenerg-2763	289	5	the	the	DET
fuelectenerg-2763	289	6	exhaustive	exhaustive	ADJ
fuelectenerg-2763	289	7	search	search	NOUN
fuelectenerg-2763	289	8	includes	include	VERB
fuelectenerg-2763	289	9	the	the	DET
fuelectenerg-2763	289	10	search	search	NOUN
fuelectenerg-2763	289	11	for	for	ADP
fuelectenerg-2763	289	12	512	512	NUM
fuelectenerg-2763	289	13	bits	bit	NOUN
fuelectenerg-2763	289	14	in	in	ADP
fuelectenerg-2763	289	15	the	the	DET
fuelectenerg-2763	289	16	lfsr	lfsr	PROPN
fuelectenerg-2763	289	17	states	states	PROPN
fuelectenerg-2763	289	18	and	and	CCONJ
fuelectenerg-2763	289	19	two	two	NUM
fuelectenerg-2763	289	20	32	32	NUM
fuelectenerg-2763	289	21	-	-	PUNCT
fuelectenerg-2763	289	22	bit	bit	NOUN
fuelectenerg-2763	289	23	registers	register	NOUN
fuelectenerg-2763	289	24	.	.	PUNCT
fuelectenerg-2763	290	1	in	in	ADP
fuelectenerg-2763	290	2	the	the	DET
fuelectenerg-2763	290	3	new	new	ADJ
fuelectenerg-2763	290	4	snow	snow	NOUN
fuelectenerg-2763	290	5	2.0	2.0	NUM
fuelectenerg-2763	290	6	,	,	PUNCT
fuelectenerg-2763	290	7	the	the	DET
fuelectenerg-2763	290	8	cost	cost	NOUN
fuelectenerg-2763	290	9	of	of	ADP
fuelectenerg-2763	290	10	having	have	VERB
fuelectenerg-2763	290	11	no	no	DET
fuelectenerg-2763	290	12	carries	carry	NOUN
fuelectenerg-2763	290	13	has	have	AUX
fuelectenerg-2763	290	14	greatly	greatly	ADV
fuelectenerg-2763	290	15	increased	increase	VERB
fuelectenerg-2763	290	16	.	.	PUNCT
fuelectenerg-2763	291	1	as	as	ADP
fuelectenerg-2763	291	2	m	m	PROPN
fuelectenerg-2763	291	3	=	=	NOUN
fuelectenerg-2763	291	4	3	3	NUM
fuelectenerg-2763	291	5	in	in	ADP
fuelectenerg-2763	291	6	this	this	DET
fuelectenerg-2763	291	7	application	application	NOUN
fuelectenerg-2763	291	8	,	,	PUNCT
fuelectenerg-2763	291	9	the	the	DET
fuelectenerg-2763	291	10	length	length	NOUN
fuelectenerg-2763	291	11	of	of	ADP
fuelectenerg-2763	291	12	the	the	DET
fuelectenerg-2763	291	13	modulo	modulo	NOUN
fuelectenerg-2763	291	14	addition	addition	NOUN
fuelectenerg-2763	291	15	component	component	NOUN
fuelectenerg-2763	291	16	in	in	ADP
fuelectenerg-2763	291	17	the	the	DET
fuelectenerg-2763	291	18	new	new	ADJ
fuelectenerg-2763	291	19	design	design	NOUN
fuelectenerg-2763	291	20	becomes	become	VERB
fuelectenerg-2763	291	21	32	32	NUM
fuelectenerg-2763	291	22	*	*	SYM
fuelectenerg-2763	291	23	2	2	NUM
fuelectenerg-2763	291	24	3	3	NUM
fuelectenerg-2763	291	25	=	=	SYM
fuelectenerg-2763	291	26	256	256	NUM
fuelectenerg-2763	291	27	.	.	PUNCT
fuelectenerg-2763	291	28	to	to	PART
fuelectenerg-2763	291	29	fix	fix	VERB
fuelectenerg-2763	291	30	the	the	DET
fuelectenerg-2763	291	31	carries	carry	NOUN
fuelectenerg-2763	291	32	for	for	ADP
fuelectenerg-2763	291	33	one	one	NUM
fuelectenerg-2763	291	34	modulo	modulo	NOUN
fuelectenerg-2763	291	35	addition	addition	NOUN
fuelectenerg-2763	291	36	,	,	PUNCT
fuelectenerg-2763	291	37	the	the	DET
fuelectenerg-2763	291	38	probability	probability	NOUN
fuelectenerg-2763	291	39	is	be	AUX
fuelectenerg-2763	291	40	estimated	estimate	VERB
fuelectenerg-2763	291	41	to	to	PART
fuelectenerg-2763	291	42	be	be	AUX
fuelectenerg-2763	291	43	2	2	NUM
fuelectenerg-2763	291	44	-(31	-(31	NOUN
fuelectenerg-2763	291	45	*	*	X
fuelectenerg-2763	291	46	8	8	NUM
fuelectenerg-2763	291	47	*	*	NUM
fuelectenerg-2763	291	48	17	17	NUM
fuelectenerg-2763	291	49	)	)	PUNCT
fuelectenerg-2763	291	50	=	=	SYM
fuelectenerg-2763	291	51	2	2	NUM
fuelectenerg-2763	291	52	-4216	-4216	VERB
fuelectenerg-2763	291	53	by	by	ADP
fuelectenerg-2763	291	54	using	use	VERB
fuelectenerg-2763	291	55	(	(	PUNCT
fuelectenerg-2763	291	56	9	9	NUM
fuelectenerg-2763	291	57	)	)	PUNCT
fuelectenerg-2763	291	58	.	.	PUNCT
fuelectenerg-2763	292	1	this	this	PRON
fuelectenerg-2763	292	2	is	be	AUX
fuelectenerg-2763	292	3	much	much	ADV
fuelectenerg-2763	292	4	larger	large	ADJ
fuelectenerg-2763	292	5	than	than	ADP
fuelectenerg-2763	292	6	exhaustive	exhaustive	ADJ
fuelectenerg-2763	292	7	search	search	NOUN
fuelectenerg-2763	292	8	.	.	PUNCT
fuelectenerg-2763	293	1	the	the	DET
fuelectenerg-2763	293	2	second	second	ADJ
fuelectenerg-2763	293	3	method	method	NOUN
fuelectenerg-2763	293	4	sees	see	VERB
fuelectenerg-2763	293	5	the	the	DET
fuelectenerg-2763	293	6	attacker	attacker	NOUN
fuelectenerg-2763	293	7	trying	try	VERB
fuelectenerg-2763	293	8	to	to	PART
fuelectenerg-2763	293	9	manipulate	manipulate	VERB
fuelectenerg-2763	293	10	the	the	DET
fuelectenerg-2763	293	11	output	output	NOUN
fuelectenerg-2763	293	12	characteristics	characteristic	NOUN
fuelectenerg-2763	293	13	of	of	ADP
fuelectenerg-2763	293	14	the	the	DET
fuelectenerg-2763	293	15	modulo	modulo	ADJ
fuelectenerg-2763	293	16	addition	addition	NOUN
fuelectenerg-2763	293	17	to	to	PART
fuelectenerg-2763	293	18	linearize	linearize	VERB
fuelectenerg-2763	293	19	the	the	DET
fuelectenerg-2763	293	20	equations	equation	NOUN
fuelectenerg-2763	293	21	,	,	PUNCT
fuelectenerg-2763	293	22	as	as	SCONJ
fuelectenerg-2763	293	23	described	describe	VERB
fuelectenerg-2763	293	24	in	in	ADP
fuelectenerg-2763	293	25	[	[	X
fuelectenerg-2763	293	26	20	20	NUM
fuelectenerg-2763	293	27	]	]	PUNCT
fuelectenerg-2763	293	28	.	.	PUNCT
fuelectenerg-2763	294	1	in	in	ADP
fuelectenerg-2763	294	2	particular	particular	ADJ
fuelectenerg-2763	294	3	,	,	PUNCT
fuelectenerg-2763	294	4	9	9	NUM
fuelectenerg-2763	294	5	consecutive	consecutive	ADJ
fuelectenerg-2763	294	6	values	value	NOUN
fuelectenerg-2763	294	7	of	of	ADP
fuelectenerg-2763	294	8	the	the	DET
fuelectenerg-2763	294	9	register	register	NOUN
fuelectenerg-2763	294	10	r1	r1	PROPN
fuelectenerg-2763	294	11	are	be	AUX
fuelectenerg-2763	294	12	fixed	fix	VERB
fuelectenerg-2763	294	13	.	.	PUNCT
fuelectenerg-2763	295	1	the	the	DET
fuelectenerg-2763	295	2	desired	desire	VERB
fuelectenerg-2763	295	3	output	output	NOUN
fuelectenerg-2763	295	4	values	value	NOUN
fuelectenerg-2763	295	5	from	from	ADP
fuelectenerg-2763	295	6	the	the	DET
fuelectenerg-2763	295	7	summation	summation	NOUN
fuelectenerg-2763	295	8	are	be	AUX
fuelectenerg-2763	295	9	r11	r11	NOUN
fuelectenerg-2763	295	10	=	=	SYM
fuelectenerg-2763	295	11	0	0	NUM
fuelectenerg-2763	295	12	,	,	PUNCT
fuelectenerg-2763	295	13	r12	r12	NOUN
fuelectenerg-2763	295	14	=	=	SYM
fuelectenerg-2763	295	15	2	2	NUM
fuelectenerg-2763	295	16	32	32	NUM
fuelectenerg-2763	295	17	–	–	PUNCT
fuelectenerg-2763	295	18	1	1	NUM
fuelectenerg-2763	295	19	,	,	PUNCT
fuelectenerg-2763	295	20	r13	r13	NOUN
fuelectenerg-2763	295	21	=	=	SYM
fuelectenerg-2763	295	22	0	0	NUM
fuelectenerg-2763	295	23	,	,	PUNCT
fuelectenerg-2763	295	24	r14	r14	NOUN
fuelectenerg-2763	295	25	=	=	SYM
fuelectenerg-2763	295	26	0	0	NUM
fuelectenerg-2763	295	27	,	,	PUNCT
fuelectenerg-2763	295	28	r15	r15	NOUN
fuelectenerg-2763	295	29	=	=	SYM
fuelectenerg-2763	295	30	0	0	NUM
fuelectenerg-2763	295	31	,	,	PUNCT
fuelectenerg-2763	295	32	r16	r16	NOUN
fuelectenerg-2763	295	33	=	=	SYM
fuelectenerg-2763	295	34	0	0	NUM
fuelectenerg-2763	295	35	,	,	PUNCT
fuelectenerg-2763	295	36	r17	r17	NOUN
fuelectenerg-2763	295	37	=	=	SYM
fuelectenerg-2763	295	38	0	0	NUM
fuelectenerg-2763	295	39	,	,	PUNCT
fuelectenerg-2763	295	40	r18	r18	NOUN
fuelectenerg-2763	295	41	=	=	SYM
fuelectenerg-2763	295	42	0	0	NUM
fuelectenerg-2763	295	43	,	,	PUNCT
fuelectenerg-2763	295	44	and	and	CCONJ
fuelectenerg-2763	295	45	r19	r19	VERB
fuelectenerg-2763	295	46	=	=	SYM
fuelectenerg-2763	295	47	0	0	PROPN
fuelectenerg-2763	295	48	.	.	PUNCT
fuelectenerg-2763	296	1	the	the	DET
fuelectenerg-2763	296	2	value	value	NOUN
fuelectenerg-2763	296	3	of	of	ADP
fuelectenerg-2763	296	4	r1	r1	PROPN
fuelectenerg-2763	296	5	comes	come	VERB
fuelectenerg-2763	296	6	from	from	ADP
fuelectenerg-2763	296	7	summing	sum	VERB
fuelectenerg-2763	296	8	r2	r2	PROPN
fuelectenerg-2763	296	9	and	and	CCONJ
fuelectenerg-2763	296	10	s5	s5	PROPN
fuelectenerg-2763	296	11	but	but	CCONJ
fuelectenerg-2763	296	12	the	the	DET
fuelectenerg-2763	296	13	value	value	NOUN
fuelectenerg-2763	296	14	of	of	ADP
fuelectenerg-2763	296	15	r2	r2	PROPN
fuelectenerg-2763	296	16	comes	come	VERB
fuelectenerg-2763	296	17	from	from	ADP
fuelectenerg-2763	296	18	feeding	feed	VERB
fuelectenerg-2763	296	19	r1	r1	NOUN
fuelectenerg-2763	296	20	through	through	ADP
fuelectenerg-2763	296	21	the	the	DET
fuelectenerg-2763	296	22	ase	ase	NOUN
fuelectenerg-2763	296	23	s	s	NOUN
fuelectenerg-2763	296	24	-	-	PUNCT
fuelectenerg-2763	296	25	boxes	box	NOUN
fuelectenerg-2763	296	26	and	and	CCONJ
fuelectenerg-2763	296	27	mix	mix	VERB
fuelectenerg-2763	296	28	column	column	NOUN
fuelectenerg-2763	296	29	operation	operation	NOUN
fuelectenerg-2763	296	30	.	.	PUNCT
fuelectenerg-2763	297	1	therefore	therefore	ADV
fuelectenerg-2763	297	2	,	,	PUNCT
fuelectenerg-2763	297	3	only	only	ADV
fuelectenerg-2763	297	4	s5	s5	PROPN
fuelectenerg-2763	297	5	needs	need	VERB
fuelectenerg-2763	297	6	to	to	PART
fuelectenerg-2763	297	7	be	be	AUX
fuelectenerg-2763	297	8	fixed	fix	VERB
fuelectenerg-2763	297	9	.	.	PUNCT
fuelectenerg-2763	298	1	due	due	ADP
fuelectenerg-2763	298	2	to	to	ADP
fuelectenerg-2763	298	3	the	the	DET
fuelectenerg-2763	298	4	nature	nature	NOUN
fuelectenerg-2763	298	5	of	of	ADP
fuelectenerg-2763	298	6	lfsr	lfsr	PROPN
fuelectenerg-2763	298	7	,	,	PUNCT
fuelectenerg-2763	298	8	9	9	NUM
fuelectenerg-2763	298	9	states	state	NOUN
fuelectenerg-2763	298	10	need	need	VERB
fuelectenerg-2763	298	11	to	to	PART
fuelectenerg-2763	298	12	be	be	AUX
fuelectenerg-2763	298	13	fixed	fix	VERB
fuelectenerg-2763	298	14	and	and	CCONJ
fuelectenerg-2763	298	15	they	they	PRON
fuelectenerg-2763	298	16	are	be	AUX
fuelectenerg-2763	298	17	:	:	PUNCT
fuelectenerg-2763	298	18	s5	s5	PROPN
fuelectenerg-2763	298	19	,	,	PUNCT
fuelectenerg-2763	298	20	s6	s6	PROPN
fuelectenerg-2763	298	21	,	,	PUNCT
fuelectenerg-2763	298	22	s7	s7	NOUN
fuelectenerg-2763	298	23	,	,	PUNCT
fuelectenerg-2763	298	24	s8	s8	NOUN
fuelectenerg-2763	298	25	,	,	PUNCT
fuelectenerg-2763	298	26	s9	s9	NOUN
fuelectenerg-2763	298	27	,	,	PUNCT
fuelectenerg-2763	298	28	s10	s10	NOUN
fuelectenerg-2763	298	29	,	,	PUNCT
fuelectenerg-2763	298	30	s11	s11	PROPN
fuelectenerg-2763	298	31	,	,	PUNCT
fuelectenerg-2763	298	32	s12	s12	PROPN
fuelectenerg-2763	298	33	,	,	PUNCT
fuelectenerg-2763	298	34	and	and	CCONJ
fuelectenerg-2763	298	35	s13	s13	NOUN
fuelectenerg-2763	298	36	.	.	PUNCT
fuelectenerg-2763	299	1	the	the	DET
fuelectenerg-2763	299	2	associated	associated	ADJ
fuelectenerg-2763	299	3	probability	probability	NOUN
fuelectenerg-2763	299	4	is	be	AUX
fuelectenerg-2763	299	5	2	2	NUM
fuelectenerg-2763	299	6	-(32	-(32	NOUN
fuelectenerg-2763	299	7	*	*	NOUN
fuelectenerg-2763	299	8	9	9	NUM
fuelectenerg-2763	299	9	)	)	PUNCT
fuelectenerg-2763	299	10	=	=	SYM
fuelectenerg-2763	299	11	2	2	NUM
fuelectenerg-2763	299	12	-288	-288	PROPN
fuelectenerg-2763	299	13	.	.	PUNCT
fuelectenerg-2763	300	1	with	with	SCONJ
fuelectenerg-2763	300	2	the	the	DET
fuelectenerg-2763	300	3	new	new	ADJ
fuelectenerg-2763	300	4	design	design	NOUN
fuelectenerg-2763	300	5	applied	apply	VERB
fuelectenerg-2763	300	6	;	;	PUNCT
fuelectenerg-2763	300	7	however	however	ADV
fuelectenerg-2763	300	8	,	,	PUNCT
fuelectenerg-2763	300	9	the	the	DET
fuelectenerg-2763	300	10	output	output	NOUN
fuelectenerg-2763	300	11	characteristic	characteristic	NOUN
fuelectenerg-2763	300	12	may	may	AUX
fuelectenerg-2763	300	13	not	not	PART
fuelectenerg-2763	300	14	be	be	AUX
fuelectenerg-2763	300	15	applicable	applicable	ADJ
fuelectenerg-2763	300	16	.	.	PUNCT
fuelectenerg-2763	301	1	as	as	SCONJ
fuelectenerg-2763	301	2	discussed	discuss	VERB
fuelectenerg-2763	301	3	in	in	ADP
fuelectenerg-2763	301	4	section	section	NOUN
fuelectenerg-2763	301	5	4	4	NUM
fuelectenerg-2763	301	6	,	,	PUNCT
fuelectenerg-2763	301	7	the	the	DET
fuelectenerg-2763	301	8	probability	probability	NOUN
fuelectenerg-2763	301	9	of	of	ADP
fuelectenerg-2763	301	10	fixing	fix	VERB
fuelectenerg-2763	301	11	all	all	DET
fuelectenerg-2763	301	12	outputs	output	NOUN
fuelectenerg-2763	301	13	to	to	PART
fuelectenerg-2763	301	14	be	be	AUX
fuelectenerg-2763	301	15	1	1	NUM
fuelectenerg-2763	301	16	in	in	ADP
fuelectenerg-2763	301	17	the	the	DET
fuelectenerg-2763	301	18	new	new	ADJ
fuelectenerg-2763	301	19	design	design	NOUN
fuelectenerg-2763	301	20	is	be	AUX
fuelectenerg-2763	301	21	2	2	NUM
fuelectenerg-2763	301	22	-n(m+1	-n(m+1	PROPN
fuelectenerg-2763	301	23	)	)	PUNCT
fuelectenerg-2763	301	24	.	.	PUNCT
fuelectenerg-2763	302	1	in	in	ADP
fuelectenerg-2763	302	2	this	this	DET
fuelectenerg-2763	302	3	scenario	scenario	NOUN
fuelectenerg-2763	302	4	,	,	PUNCT
fuelectenerg-2763	302	5	the	the	DET
fuelectenerg-2763	302	6	probability	probability	NOUN
fuelectenerg-2763	302	7	has	have	AUX
fuelectenerg-2763	302	8	become	become	VERB
fuelectenerg-2763	302	9	2	2	NUM
fuelectenerg-2763	302	10	-32(3	-32(3	NOUN
fuelectenerg-2763	302	11	+	+	NOUN
fuelectenerg-2763	302	12	1	1	NUM
fuelectenerg-2763	302	13	)	)	PUNCT
fuelectenerg-2763	302	14	=	=	SYM
fuelectenerg-2763	302	15	2	2	NUM
fuelectenerg-2763	302	16	-128	-128	NOUN
fuelectenerg-2763	302	17	.	.	PUNCT
fuelectenerg-2763	303	1	in	in	ADP
fuelectenerg-2763	303	2	addition	addition	NOUN
fuelectenerg-2763	303	3	,	,	PUNCT
fuelectenerg-2763	303	4	the	the	DET
fuelectenerg-2763	303	5	probability	probability	NOUN
fuelectenerg-2763	303	6	of	of	ADP
fuelectenerg-2763	303	7	fixing	fix	VERB
fuelectenerg-2763	303	8	all	all	DET
fuelectenerg-2763	303	9	outputs	output	NOUN
fuelectenerg-2763	303	10	to	to	PART
fuelectenerg-2763	303	11	be	be	AUX
fuelectenerg-2763	303	12	0	0	NUM
fuelectenerg-2763	303	13	in	in	ADP
fuelectenerg-2763	303	14	the	the	DET
fuelectenerg-2763	303	15	new	new	ADJ
fuelectenerg-2763	303	16	design	design	NOUN
fuelectenerg-2763	303	17	is	be	AUX
fuelectenerg-2763	303	18	(	(	PUNCT
fuelectenerg-2763	303	19	3	3	NUM
fuelectenerg-2763	303	20	/	/	SYM
fuelectenerg-2763	303	21	2	2	NUM
fuelectenerg-2763	303	22	2m+2	2m+2	PROPN
fuelectenerg-2763	303	23	)	)	PUNCT
fuelectenerg-2763	303	24	n	n	CCONJ
fuelectenerg-2763	303	25	.	.	PUNCT
fuelectenerg-2763	304	1	again	again	ADV
fuelectenerg-2763	304	2	,	,	PUNCT
fuelectenerg-2763	304	3	the	the	DET
fuelectenerg-2763	304	4	probability	probability	NOUN
fuelectenerg-2763	304	5	becomes	become	VERB
fuelectenerg-2763	304	6	(	(	PUNCT
fuelectenerg-2763	304	7	3	3	NUM
fuelectenerg-2763	304	8	/	/	SYM
fuelectenerg-2763	304	9	2	2	NUM
fuelectenerg-2763	304	10	2	2	NUM
fuelectenerg-2763	304	11	*	*	SYM
fuelectenerg-2763	304	12	3	3	NUM
fuelectenerg-2763	304	13	+	+	NOUN
fuelectenerg-2763	304	14	2	2	NUM
fuelectenerg-2763	304	15	)	)	PUNCT
fuelectenerg-2763	304	16	32	32	NUM
fuelectenerg-2763	305	1	≈	≈	PROPN
fuelectenerg-2763	305	2	2	2	NUM
fuelectenerg-2763	305	3	-205	-205	PROPN
fuelectenerg-2763	305	4	.	.	PUNCT
fuelectenerg-2763	306	1	for	for	ADP
fuelectenerg-2763	306	2	a	a	DET
fuelectenerg-2763	306	3	total	total	NOUN
fuelectenerg-2763	306	4	of	of	ADP
fuelectenerg-2763	306	5	9	9	NUM
fuelectenerg-2763	306	6	consecutive	consecutive	ADJ
fuelectenerg-2763	306	7	cycles	cycle	NOUN
fuelectenerg-2763	306	8	,	,	PUNCT
fuelectenerg-2763	306	9	the	the	DET
fuelectenerg-2763	306	10	probability	probability	NOUN
fuelectenerg-2763	306	11	has	have	AUX
fuelectenerg-2763	306	12	become	become	VERB
fuelectenerg-2763	306	13	2	2	NUM
fuelectenerg-2763	306	14	-205	-205	NOUN
fuelectenerg-2763	306	15	*	*	NOUN
fuelectenerg-2763	306	16	8	8	NUM
fuelectenerg-2763	306	17	*	*	SYM
fuelectenerg-2763	306	18	2	2	NUM
fuelectenerg-2763	306	19	-128	-128	NOUN
fuelectenerg-2763	306	20	=	=	SYM
fuelectenerg-2763	306	21	2	2	NUM
fuelectenerg-2763	306	22	-1768	-1768	NOUN
fuelectenerg-2763	306	23	.	.	PUNCT
fuelectenerg-2763	307	1	in	in	ADP
fuelectenerg-2763	307	2	essence	essence	NOUN
fuelectenerg-2763	307	3	,	,	PUNCT
fuelectenerg-2763	307	4	the	the	DET
fuelectenerg-2763	307	5	adversary	adversary	NOUN
fuelectenerg-2763	307	6	may	may	AUX
fuelectenerg-2763	307	7	want	want	VERB
fuelectenerg-2763	307	8	to	to	PART
fuelectenerg-2763	307	9	utilize	utilize	VERB
fuelectenerg-2763	307	10	the	the	DET
fuelectenerg-2763	307	11	corner	corner	NOUN
fuelectenerg-2763	307	12	case	case	NOUN
fuelectenerg-2763	307	13	of	of	ADP
fuelectenerg-2763	307	14	the	the	DET
fuelectenerg-2763	307	15	new	new	ADJ
fuelectenerg-2763	307	16	design	design	NOUN
fuelectenerg-2763	307	17	to	to	PART
fuelectenerg-2763	307	18	lower	lower	VERB
fuelectenerg-2763	307	19	the	the	DET
fuelectenerg-2763	307	20	algebraic	algebraic	ADJ
fuelectenerg-2763	307	21	degree	degree	NOUN
fuelectenerg-2763	307	22	.	.	PUNCT
fuelectenerg-2763	308	1	however	however	ADV
fuelectenerg-2763	308	2	,	,	PUNCT
fuelectenerg-2763	308	3	the	the	DET
fuelectenerg-2763	308	4	control	control	NOUN
fuelectenerg-2763	308	5	string	string	NOUN
fuelectenerg-2763	308	6	generation	generation	NOUN
fuelectenerg-2763	308	7	logic	logic	NOUN
fuelectenerg-2763	308	8	,	,	PUNCT
fuelectenerg-2763	308	9	outlined	outline	VERB
fuelectenerg-2763	308	10	in	in	ADP
fuelectenerg-2763	308	11	section	section	NOUN
fuelectenerg-2763	308	12	5	5	NUM
fuelectenerg-2763	308	13	,	,	PUNCT
fuelectenerg-2763	308	14	guarantees	guarantee	VERB
fuelectenerg-2763	308	15	that	that	SCONJ
fuelectenerg-2763	308	16	the	the	DET
fuelectenerg-2763	308	17	input	input	NOUN
fuelectenerg-2763	308	18	control	control	NOUN
fuelectenerg-2763	308	19	strings	string	NOUN
fuelectenerg-2763	308	20	for	for	ADP
fuelectenerg-2763	308	21	the	the	DET
fuelectenerg-2763	308	22	lsbs	lsbs	NOUN
fuelectenerg-2763	308	23	of	of	ADP
fuelectenerg-2763	308	24	the	the	DET
fuelectenerg-2763	308	25	two	two	NUM
fuelectenerg-2763	308	26	inputs	input	NOUN
fuelectenerg-2763	308	27	will	will	AUX
fuelectenerg-2763	308	28	not	not	PART
fuelectenerg-2763	308	29	be	be	AUX
fuelectenerg-2763	308	30	simultaneously	simultaneously	ADV
fuelectenerg-2763	308	31	0	0	NUM
fuelectenerg-2763	308	32	.	.	PUNCT
fuelectenerg-2763	309	1	therefore	therefore	ADV
fuelectenerg-2763	309	2	,	,	PUNCT
fuelectenerg-2763	309	3	the	the	DET
fuelectenerg-2763	309	4	set	set	NOUN
fuelectenerg-2763	309	5	of	of	ADP
fuelectenerg-2763	309	6	equations	equation	NOUN
fuelectenerg-2763	309	7	can	can	AUX
fuelectenerg-2763	309	8	not	not	PART
fuelectenerg-2763	309	9	be	be	AUX
fuelectenerg-2763	309	10	completely	completely	ADV
fuelectenerg-2763	309	11	linearized	linearize	VERB
fuelectenerg-2763	309	12	.	.	PUNCT
fuelectenerg-2763	310	1	a	a	DET
fuelectenerg-2763	310	2	summary	summary	NOUN
fuelectenerg-2763	310	3	is	be	AUX
fuelectenerg-2763	310	4	provided	provide	VERB
fuelectenerg-2763	310	5	in	in	ADP
fuelectenerg-2763	310	6	table	table	NOUN
fuelectenerg-2763	310	7	6	6	NUM
fuelectenerg-2763	310	8	.	.	PUNCT
fuelectenerg-2763	310	9	474	474	NUM
fuelectenerg-2763	310	10	p.	p.	NOUN
fuelectenerg-2763	310	11	siddavaatam	siddavaatam	NOUN
fuelectenerg-2763	310	12	,	,	PUNCT
fuelectenerg-2763	310	13	r.	r.	NOUN
fuelectenerg-2763	310	14	sedaghat	sedaghat	PROPN
fuelectenerg-2763	310	15	table	table	NOUN
fuelectenerg-2763	310	16	6	6	NUM
fuelectenerg-2763	310	17	result	result	NOUN
fuelectenerg-2763	310	18	analysis	analysis	NOUN
fuelectenerg-2763	310	19	of	of	ADP
fuelectenerg-2763	310	20	new	new	ADJ
fuelectenerg-2763	310	21	snow	snow	NOUN
fuelectenerg-2763	310	22	2.0	2.0	NUM
fuelectenerg-2763	310	23	snow	snow	NOUN
fuelectenerg-2763	310	24	2.0	2.0	NUM
fuelectenerg-2763	310	25	new	new	ADJ
fuelectenerg-2763	310	26	snow	snow	NOUN
fuelectenerg-2763	310	27	2.0	2.0	NUM
fuelectenerg-2763	310	28	by	by	ADP
fuelectenerg-2763	310	29	method	method	NOUN
fuelectenerg-2763	310	30	1	1	NUM
fuelectenerg-2763	310	31	:	:	PUNCT
fuelectenerg-2763	310	32	fix	fix	NOUN
fuelectenerg-2763	310	33	carries	carry	VERB
fuelectenerg-2763	310	34	to	to	ADP
fuelectenerg-2763	310	35	0	0	NUM
fuelectenerg-2763	310	36	2	2	NUM
fuelectenerg-2763	310	37	-248	-248	NUM
fuelectenerg-2763	310	38	2	2	NUM
fuelectenerg-2763	310	39	-4216	-4216	VERB
fuelectenerg-2763	310	40	by	by	ADP
fuelectenerg-2763	310	41	method	method	NOUN
fuelectenerg-2763	310	42	2	2	NUM
fuelectenerg-2763	310	43	:	:	PUNCT
fuelectenerg-2763	310	44	fix	fix	VERB
fuelectenerg-2763	310	45	consecutive	consecutive	ADJ
fuelectenerg-2763	310	46	outputs	output	NOUN
fuelectenerg-2763	310	47	2	2	NUM
fuelectenerg-2763	310	48	-288	-288	PROPN
fuelectenerg-2763	310	49	2	2	NUM
fuelectenerg-2763	310	50	-1768	-1768	NOUN
fuelectenerg-2763	310	51	corner	corner	NOUN
fuelectenerg-2763	310	52	case	case	NOUN
fuelectenerg-2763	310	53	na	na	ADP
fuelectenerg-2763	310	54	6	6	NUM
fuelectenerg-2763	310	55	.	.	PUNCT
fuelectenerg-2763	310	56	conclusions	conclusion	NOUN
fuelectenerg-2763	310	57	in	in	ADP
fuelectenerg-2763	310	58	this	this	DET
fuelectenerg-2763	310	59	paper	paper	NOUN
fuelectenerg-2763	310	60	,	,	PUNCT
fuelectenerg-2763	310	61	a	a	DET
fuelectenerg-2763	310	62	new	new	ADJ
fuelectenerg-2763	310	63	type	type	NOUN
fuelectenerg-2763	310	64	of	of	ADP
fuelectenerg-2763	310	65	modulo	modulo	NOUN
fuelectenerg-2763	310	66	addition	addition	NOUN
fuelectenerg-2763	310	67	is	be	AUX
fuelectenerg-2763	310	68	proposed	propose	VERB
fuelectenerg-2763	310	69	to	to	PART
fuelectenerg-2763	310	70	defend	defend	VERB
fuelectenerg-2763	310	71	against	against	ADP
fuelectenerg-2763	310	72	algebraic	algebraic	ADJ
fuelectenerg-2763	310	73	attack	attack	NOUN
fuelectenerg-2763	310	74	.	.	PUNCT
fuelectenerg-2763	311	1	it	it	PRON
fuelectenerg-2763	311	2	contains	contain	VERB
fuelectenerg-2763	311	3	three	three	NUM
fuelectenerg-2763	311	4	components	component	NOUN
fuelectenerg-2763	311	5	:	:	PUNCT
fuelectenerg-2763	311	6	input	input	NOUN
fuelectenerg-2763	311	7	expansion	expansion	NOUN
fuelectenerg-2763	311	8	,	,	PUNCT
fuelectenerg-2763	311	9	modulo	modulo	NOUN
fuelectenerg-2763	311	10	addition	addition	NOUN
fuelectenerg-2763	311	11	,	,	PUNCT
fuelectenerg-2763	311	12	and	and	CCONJ
fuelectenerg-2763	311	13	output	output	NOUN
fuelectenerg-2763	311	14	compaction	compaction	NOUN
fuelectenerg-2763	311	15	.	.	PUNCT
fuelectenerg-2763	312	1	in	in	ADP
fuelectenerg-2763	312	2	addition	addition	NOUN
fuelectenerg-2763	312	3	,	,	PUNCT
fuelectenerg-2763	312	4	the	the	DET
fuelectenerg-2763	312	5	new	new	ADJ
fuelectenerg-2763	312	6	design	design	NOUN
fuelectenerg-2763	312	7	utilizes	utilize	VERB
fuelectenerg-2763	312	8	an	an	DET
fuelectenerg-2763	312	9	expanding	expand	VERB
fuelectenerg-2763	312	10	and	and	CCONJ
fuelectenerg-2763	312	11	compacting	compacting	NOUN
fuelectenerg-2763	312	12	structure	structure	NOUN
fuelectenerg-2763	312	13	that	that	PRON
fuelectenerg-2763	312	14	can	can	AUX
fuelectenerg-2763	312	15	be	be	AUX
fuelectenerg-2763	312	16	user	user	NOUN
fuelectenerg-2763	312	17	-	-	PUNCT
fuelectenerg-2763	312	18	defined	define	VERB
fuelectenerg-2763	312	19	to	to	PART
fuelectenerg-2763	312	20	fit	fit	VERB
fuelectenerg-2763	312	21	into	into	ADP
fuelectenerg-2763	312	22	various	various	ADJ
fuelectenerg-2763	312	23	cryptographic	cryptographic	ADJ
fuelectenerg-2763	312	24	security	security	NOUN
fuelectenerg-2763	312	25	architectures	architecture	NOUN
fuelectenerg-2763	312	26	.	.	PUNCT
fuelectenerg-2763	313	1	the	the	DET
fuelectenerg-2763	313	2	new	new	ADJ
fuelectenerg-2763	313	3	design	design	NOUN
fuelectenerg-2763	313	4	is	be	AUX
fuelectenerg-2763	313	5	capable	capable	ADJ
fuelectenerg-2763	313	6	of	of	ADP
fuelectenerg-2763	313	7	improving	improve	VERB
fuelectenerg-2763	313	8	the	the	DET
fuelectenerg-2763	313	9	algebraic	algebraic	ADJ
fuelectenerg-2763	313	10	immunity	immunity	NOUN
fuelectenerg-2763	313	11	by	by	ADP
fuelectenerg-2763	313	12	4	4	NUM
fuelectenerg-2763	313	13	times	time	NOUN
fuelectenerg-2763	313	14	,	,	PUNCT
fuelectenerg-2763	313	15	by	by	ADP
fuelectenerg-2763	313	16	defining	define	VERB
fuelectenerg-2763	313	17	the	the	DET
fuelectenerg-2763	313	18	userdefined	userdefined	ADJ
fuelectenerg-2763	313	19	parameter	parameter	NOUN
fuelectenerg-2763	313	20	m	m	VERB
fuelectenerg-2763	313	21	to	to	ADP
fuelectenerg-2763	313	22	2	2	NUM
fuelectenerg-2763	313	23	,	,	PUNCT
fuelectenerg-2763	313	24	and	and	CCONJ
fuelectenerg-2763	313	25	the	the	DET
fuelectenerg-2763	313	26	describing	describe	VERB
fuelectenerg-2763	313	27	degree	degree	NOUN
fuelectenerg-2763	313	28	by	by	ADP
fuelectenerg-2763	313	29	at	at	ADV
fuelectenerg-2763	313	30	least	least	ADV
fuelectenerg-2763	313	31	5	5	NUM
fuelectenerg-2763	313	32	times	time	NOUN
fuelectenerg-2763	313	33	,	,	PUNCT
fuelectenerg-2763	313	34	as	as	SCONJ
fuelectenerg-2763	313	35	outlined	outline	VERB
fuelectenerg-2763	313	36	in	in	ADP
fuelectenerg-2763	313	37	table	table	NOUN
fuelectenerg-2763	313	38	3	3	NUM
fuelectenerg-2763	313	39	.	.	PUNCT
fuelectenerg-2763	314	1	although	although	SCONJ
fuelectenerg-2763	314	2	the	the	DET
fuelectenerg-2763	314	3	algebraic	algebraic	ADJ
fuelectenerg-2763	314	4	degree	degree	NOUN
fuelectenerg-2763	314	5	can	can	AUX
fuelectenerg-2763	314	6	potentially	potentially	ADV
fuelectenerg-2763	314	7	fall	fall	VERB
fuelectenerg-2763	314	8	back	back	ADV
fuelectenerg-2763	314	9	to	to	ADP
fuelectenerg-2763	314	10	the	the	DET
fuelectenerg-2763	314	11	same	same	ADJ
fuelectenerg-2763	314	12	as	as	ADP
fuelectenerg-2763	314	13	the	the	DET
fuelectenerg-2763	314	14	original	original	ADJ
fuelectenerg-2763	314	15	modulo	modulo	NOUN
fuelectenerg-2763	314	16	addition	addition	NOUN
fuelectenerg-2763	314	17	,	,	PUNCT
fuelectenerg-2763	314	18	the	the	DET
fuelectenerg-2763	314	19	associated	associated	ADJ
fuelectenerg-2763	314	20	cost	cost	NOUN
fuelectenerg-2763	314	21	of	of	ADP
fuelectenerg-2763	314	22	doing	do	VERB
fuelectenerg-2763	314	23	so	so	ADV
fuelectenerg-2763	314	24	is	be	AUX
fuelectenerg-2763	314	25	at	at	ADV
fuelectenerg-2763	314	26	least	least	ADJ
fuelectenerg-2763	314	27	2	2	NUM
fuelectenerg-2763	314	28	-mn	-mn	NOUN
fuelectenerg-2763	314	29	.	.	PUNCT
fuelectenerg-2763	315	1	in	in	ADP
fuelectenerg-2763	315	2	section	section	NOUN
fuelectenerg-2763	315	3	5	5	NUM
fuelectenerg-2763	315	4	,	,	PUNCT
fuelectenerg-2763	315	5	the	the	DET
fuelectenerg-2763	315	6	new	new	ADJ
fuelectenerg-2763	315	7	design	design	NOUN
fuelectenerg-2763	315	8	was	be	AUX
fuelectenerg-2763	315	9	applied	apply	VERB
fuelectenerg-2763	315	10	to	to	PART
fuelectenerg-2763	315	11	stream	stream	VERB
fuelectenerg-2763	315	12	cipher	cipher	ADJ
fuelectenerg-2763	315	13	like	like	ADP
fuelectenerg-2763	315	14	snow	snow	NOUN
fuelectenerg-2763	315	15	2.0	2.0	NUM
fuelectenerg-2763	315	16	to	to	PART
fuelectenerg-2763	315	17	demonstrate	demonstrate	VERB
fuelectenerg-2763	315	18	the	the	DET
fuelectenerg-2763	315	19	capability	capability	NOUN
fuelectenerg-2763	315	20	of	of	ADP
fuelectenerg-2763	315	21	the	the	DET
fuelectenerg-2763	315	22	new	new	ADJ
fuelectenerg-2763	315	23	design	design	NOUN
fuelectenerg-2763	315	24	against	against	ADP
fuelectenerg-2763	315	25	algebraic	algebraic	ADJ
fuelectenerg-2763	315	26	attack	attack	NOUN
fuelectenerg-2763	315	27	.	.	PUNCT
fuelectenerg-2763	316	1	the	the	DET
fuelectenerg-2763	316	2	cost	cost	NOUN
fuelectenerg-2763	316	3	of	of	ADP
fuelectenerg-2763	316	4	utilizing	utilize	VERB
fuelectenerg-2763	316	5	output	output	NOUN
fuelectenerg-2763	316	6	and	and	CCONJ
fuelectenerg-2763	316	7	input	input	NOUN
fuelectenerg-2763	316	8	characteristics	characteristic	NOUN
fuelectenerg-2763	316	9	of	of	ADP
fuelectenerg-2763	316	10	modulo	modulo	NOUN
fuelectenerg-2763	316	11	addition	addition	NOUN
fuelectenerg-2763	316	12	has	have	AUX
fuelectenerg-2763	316	13	been	be	AUX
fuelectenerg-2763	316	14	increased	increase	VERB
fuelectenerg-2763	316	15	to	to	ADP
fuelectenerg-2763	316	16	more	more	ADJ
fuelectenerg-2763	316	17	than	than	ADP
fuelectenerg-2763	316	18	the	the	DET
fuelectenerg-2763	316	19	exhaustive	exhaustive	ADJ
fuelectenerg-2763	316	20	search	search	NOUN
fuelectenerg-2763	316	21	,	,	PUNCT
fuelectenerg-2763	316	22	which	which	PRON
fuelectenerg-2763	316	23	is	be	AUX
fuelectenerg-2763	316	24	2	2	NUM
fuelectenerg-2763	316	25	-576	-576	PROPN
fuelectenerg-2763	316	26	,	,	PUNCT
fuelectenerg-2763	316	27	in	in	ADP
fuelectenerg-2763	316	28	the	the	DET
fuelectenerg-2763	316	29	new	new	ADJ
fuelectenerg-2763	316	30	snow	snow	NOUN
fuelectenerg-2763	316	31	2.0	2.0	NUM
fuelectenerg-2763	316	32	.	.	PUNCT
fuelectenerg-2763	317	1	overall	overall	ADV
fuelectenerg-2763	317	2	,	,	PUNCT
fuelectenerg-2763	317	3	the	the	DET
fuelectenerg-2763	317	4	new	new	ADJ
fuelectenerg-2763	317	5	design	design	NOUN
fuelectenerg-2763	317	6	can	can	AUX
fuelectenerg-2763	317	7	serve	serve	VERB
fuelectenerg-2763	317	8	as	as	ADP
fuelectenerg-2763	317	9	a	a	DET
fuelectenerg-2763	317	10	new	new	ADJ
fuelectenerg-2763	317	11	cryptographic	cryptographic	ADJ
fuelectenerg-2763	317	12	component	component	NOUN
fuelectenerg-2763	317	13	that	that	PRON
fuelectenerg-2763	317	14	provides	provide	VERB
fuelectenerg-2763	317	15	scalable	scalable	ADJ
fuelectenerg-2763	317	16	security	security	NOUN
fuelectenerg-2763	317	17	against	against	ADP
fuelectenerg-2763	317	18	algebraic	algebraic	ADJ
fuelectenerg-2763	317	19	attack	attack	NOUN
fuelectenerg-2763	317	20	.	.	PUNCT
fuelectenerg-2763	318	1	acknowledgement	acknowledgement	NOUN
fuelectenerg-2763	318	2	:	:	PUNCT
fuelectenerg-2763	318	3	this	this	DET
fuelectenerg-2763	318	4	work	work	NOUN
fuelectenerg-2763	318	5	is	be	AUX
fuelectenerg-2763	318	6	supported	support	VERB
fuelectenerg-2763	318	7	by	by	ADP
fuelectenerg-2763	318	8	the	the	DET
fuelectenerg-2763	318	9	optimization	optimization	NOUN
fuelectenerg-2763	318	10	and	and	CCONJ
fuelectenerg-2763	318	11	algorithm	algorithm	NOUN
fuelectenerg-2763	318	12	research	research	NOUN
fuelectenerg-2763	318	13	lab	lab	NOUN
fuelectenerg-2763	318	14	(	(	PUNCT
fuelectenerg-2763	318	15	opral	opral	NOUN
fuelectenerg-2763	318	16	)	)	PUNCT
fuelectenerg-2763	318	17	,	,	PUNCT
fuelectenerg-2763	318	18	ryerson	ryerson	NOUN
fuelectenerg-2763	318	19	university	university	NOUN
fuelectenerg-2763	318	20	.	.	PUNCT
fuelectenerg-2763	319	1	references	reference	NOUN
fuelectenerg-2763	319	2	[	[	X
fuelectenerg-2763	319	3	1	1	NUM
fuelectenerg-2763	319	4	]	]	PUNCT
fuelectenerg-2763	319	5	c.	c.	PROPN
fuelectenerg-2763	319	6	shannon	shannon	PROPN
fuelectenerg-2763	319	7	,	,	PUNCT
fuelectenerg-2763	319	8	“	"	PUNCT
fuelectenerg-2763	319	9	communication	communication	NOUN
fuelectenerg-2763	319	10	theory	theory	NOUN
fuelectenerg-2763	319	11	for	for	ADP
fuelectenerg-2763	319	12	security	security	NOUN
fuelectenerg-2763	319	13	systems	system	NOUN
fuelectenerg-2763	319	14	,	,	PUNCT
fuelectenerg-2763	319	15	”	"	PUNCT
fuelectenerg-2763	319	16	bell	bell	NOUN
fuelectenerg-2763	319	17	system	system	NOUN
fuelectenerg-2763	319	18	technical	technical	PROPN
fuelectenerg-2763	319	19	journal	journal	PROPN
fuelectenerg-2763	319	20	28	28	NUM
fuelectenerg-2763	319	21	,	,	PUNCT
fuelectenerg-2763	319	22	1949	1949	NUM
fuelectenerg-2763	319	23	.	.	PUNCT
fuelectenerg-2763	320	1	[	[	X
fuelectenerg-2763	320	2	2	2	NUM
fuelectenerg-2763	320	3	]	]	X
fuelectenerg-2763	320	4	c.	c.	PROPN
fuelectenerg-2763	320	5	adams	adams	PROPN
fuelectenerg-2763	320	6	,	,	PUNCT
fuelectenerg-2763	320	7	“	"	PUNCT
fuelectenerg-2763	320	8	designing	design	VERB
fuelectenerg-2763	320	9	against	against	ADP
fuelectenerg-2763	320	10	a	a	DET
fuelectenerg-2763	320	11	class	class	NOUN
fuelectenerg-2763	320	12	of	of	ADP
fuelectenerg-2763	320	13	algebraic	algebraic	ADJ
fuelectenerg-2763	320	14	attacks	attack	NOUN
fuelectenerg-2763	320	15	on	on	ADP
fuelectenerg-2763	320	16	symmetric	symmetric	ADJ
fuelectenerg-2763	320	17	block	block	NOUN
fuelectenerg-2763	320	18	ciphers	cipher	NOUN
fuelectenerg-2763	320	19	,	,	PUNCT
fuelectenerg-2763	320	20	”	"	PUNCT
fuelectenerg-2763	320	21	applicable	applicable	ADJ
fuelectenerg-2763	320	22	algebra	algebra	NOUN
fuelectenerg-2763	320	23	in	in	ADP
fuelectenerg-2763	320	24	engineering	engineering	NOUN
fuelectenerg-2763	320	25	,	,	PUNCT
fuelectenerg-2763	320	26	communications	communication	NOUN
fuelectenerg-2763	320	27	,	,	PUNCT
fuelectenerg-2763	320	28	and	and	CCONJ
fuelectenerg-2763	320	29	computing	computing	NOUN
fuelectenerg-2763	320	30	,	,	PUNCT
fuelectenerg-2763	320	31	vol	vol	NOUN
fuelectenerg-2763	320	32	.	.	PROPN
fuelectenerg-2763	320	33	17	17	NUM
fuelectenerg-2763	320	34	,	,	PUNCT
fuelectenerg-2763	320	35	no	no	INTJ
fuelectenerg-2763	320	36	.	.	NOUN
fuelectenerg-2763	320	37	1	1	NUM
fuelectenerg-2763	320	38	,	,	PUNCT
fuelectenerg-2763	320	39	pp	pp	ADJ
fuelectenerg-2763	320	40	.	.	PUNCT
fuelectenerg-2763	321	1	17	17	NUM
fuelectenerg-2763	321	2	-	-	SYM
fuelectenerg-2763	321	3	27	27	NUM
fuelectenerg-2763	321	4	,	,	PUNCT
fuelectenerg-2763	321	5	apr	apr	PROPN
fuelectenerg-2763	321	6	.	.	PROPN
fuelectenerg-2763	321	7	2004	2004	NUM
fuelectenerg-2763	321	8	.	.	PUNCT
fuelectenerg-2763	322	1	[	[	X
fuelectenerg-2763	322	2	3	3	X
fuelectenerg-2763	322	3	]	]	X
fuelectenerg-2763	322	4	j.	j.	PROPN
fuelectenerg-2763	322	5	patarin	patarin	PROPN
fuelectenerg-2763	322	6	,	,	PUNCT
fuelectenerg-2763	322	7	“	"	PUNCT
fuelectenerg-2763	322	8	hidden	hide	VERB
fuelectenerg-2763	322	9	fields	field	NOUN
fuelectenerg-2763	322	10	equations	equation	NOUN
fuelectenerg-2763	322	11	(	(	PUNCT
fuelectenerg-2763	322	12	hfe	hfe	PROPN
fuelectenerg-2763	322	13	)	)	PUNCT
fuelectenerg-2763	322	14	and	and	CCONJ
fuelectenerg-2763	322	15	isomorphisms	isomorphism	NOUN
fuelectenerg-2763	322	16	of	of	ADP
fuelectenerg-2763	322	17	polynomials	polynomial	NOUN
fuelectenerg-2763	322	18	(	(	PUNCT
fuelectenerg-2763	322	19	ip	ip	NOUN
fuelectenerg-2763	322	20	):	):	PUNCT
fuelectenerg-2763	322	21	two	two	NUM
fuelectenerg-2763	322	22	new	new	ADJ
fuelectenerg-2763	322	23	families	family	NOUN
fuelectenerg-2763	322	24	of	of	ADP
fuelectenerg-2763	322	25	asymmetric	asymmetric	ADJ
fuelectenerg-2763	322	26	algorithms	algorithm	NOUN
fuelectenerg-2763	322	27	,	,	PUNCT
fuelectenerg-2763	322	28	”	"	PUNCT
fuelectenerg-2763	322	29	in	in	ADP
fuelectenerg-2763	322	30	advances	advance	NOUN
fuelectenerg-2763	322	31	in	in	ADP
fuelectenerg-2763	322	32	cryptography	cryptography	NOUN
fuelectenerg-2763	322	33	–	–	PUNCT
fuelectenerg-2763	322	34	eurocrypt’96	eurocrypt’96	NOUN
fuelectenerg-2763	322	35	,	,	PUNCT
fuelectenerg-2763	322	36	springer	springer	NOUN
fuelectenerg-2763	322	37	berlin	berlin	PROPN
fuelectenerg-2763	322	38	heidelberg	heidelberg	PROPN
fuelectenerg-2763	322	39	,	,	PUNCT
fuelectenerg-2763	322	40	1996	1996	NUM
fuelectenerg-2763	322	41	,	,	PUNCT
fuelectenerg-2763	322	42	pp	pp	ADV
fuelectenerg-2763	322	43	.	.	PUNCT
fuelectenerg-2763	323	1	33	33	NUM
fuelectenerg-2763	323	2	-	-	SYM
fuelectenerg-2763	323	3	48	48	NUM
fuelectenerg-2763	323	4	.	.	PUNCT
fuelectenerg-2763	324	1	[	[	X
fuelectenerg-2763	324	2	4	4	X
fuelectenerg-2763	324	3	]	]	X
fuelectenerg-2763	324	4	j.	j.	PROPN
fuelectenerg-2763	324	5	patarin	patarin	PROPN
fuelectenerg-2763	324	6	,	,	PUNCT
fuelectenerg-2763	324	7	“	"	PUNCT
fuelectenerg-2763	324	8	cryptanalysis	cryptanalysis	NOUN
fuelectenerg-2763	324	9	of	of	ADP
fuelectenerg-2763	324	10	the	the	DET
fuelectenerg-2763	324	11	matsumoto	matsumoto	PROPN
fuelectenerg-2763	324	12	and	and	CCONJ
fuelectenerg-2763	324	13	imai	imai	PROPN
fuelectenerg-2763	324	14	public	public	ADJ
fuelectenerg-2763	324	15	key	key	ADJ
fuelectenerg-2763	324	16	scheme	scheme	NOUN
fuelectenerg-2763	324	17	of	of	ADP
fuelectenerg-2763	324	18	eurocrypt’88	eurocrypt’88	PROPN
fuelectenerg-2763	324	19	,	,	PUNCT
fuelectenerg-2763	324	20	”	"	PUNCT
fuelectenerg-2763	324	21	in	in	ADP
fuelectenerg-2763	324	22	advances	advance	NOUN
fuelectenerg-2763	324	23	in	in	ADP
fuelectenerg-2763	324	24	cryptography	cryptography	NOUN
fuelectenerg-2763	324	25	–	–	PUNCT
fuelectenerg-2763	324	26	eurocrypt’95	eurocrypt’95	NOUN
fuelectenerg-2763	324	27	,	,	PUNCT
fuelectenerg-2763	324	28	springer	springer	NOUN
fuelectenerg-2763	324	29	berlin	berlin	PROPN
fuelectenerg-2763	324	30	heidelberg	heidelberg	PROPN
fuelectenerg-2763	324	31	,	,	PUNCT
fuelectenerg-2763	324	32	1995	1995	NUM
fuelectenerg-2763	324	33	,	,	PUNCT
fuelectenerg-2763	324	34	pp	pp	ADJ
fuelectenerg-2763	324	35	.	.	PUNCT
fuelectenerg-2763	325	1	248	248	NUM
fuelectenerg-2763	325	2	-	-	SYM
fuelectenerg-2763	325	3	261	261	NUM
fuelectenerg-2763	325	4	.	.	PUNCT
fuelectenerg-2763	326	1	[	[	X
fuelectenerg-2763	326	2	5	5	NUM
fuelectenerg-2763	326	3	]	]	X
fuelectenerg-2763	326	4	n.	n.	NOUN
fuelectenerg-2763	326	5	courtois	courtois	PROPN
fuelectenerg-2763	326	6	and	and	CCONJ
fuelectenerg-2763	326	7	w.	w.	PROPN
fuelectenerg-2763	326	8	meier	meier	PROPN
fuelectenerg-2763	326	9	,	,	PUNCT
fuelectenerg-2763	326	10	“	"	PUNCT
fuelectenerg-2763	326	11	algebraic	algebraic	ADJ
fuelectenerg-2763	326	12	attack	attack	NOUN
fuelectenerg-2763	326	13	on	on	ADP
fuelectenerg-2763	326	14	stream	stream	NOUN
fuelectenerg-2763	326	15	ciphers	cipher	NOUN
fuelectenerg-2763	326	16	with	with	ADP
fuelectenerg-2763	326	17	linear	linear	ADJ
fuelectenerg-2763	326	18	feedback	feedback	NOUN
fuelectenerg-2763	326	19	,	,	PUNCT
fuelectenerg-2763	326	20	”	"	PUNCT
fuelectenerg-2763	326	21	in	in	ADP
fuelectenerg-2763	326	22	advances	advance	NOUN
fuelectenerg-2763	326	23	in	in	ADP
fuelectenerg-2763	326	24	cryptography	cryptography	NOUN
fuelectenerg-2763	326	25	–	–	PUNCT
fuelectenerg-2763	326	26	eurocrypt	eurocrypt	NOUN
fuelectenerg-2763	326	27	2003	2003	NUM
fuelectenerg-2763	326	28	,	,	PUNCT
fuelectenerg-2763	326	29	springer	springer	NOUN
fuelectenerg-2763	326	30	berlin	berlin	PROPN
fuelectenerg-2763	326	31	heidelberg	heidelberg	PROPN
fuelectenerg-2763	326	32	,	,	PUNCT
fuelectenerg-2763	326	33	2003	2003	NUM
fuelectenerg-2763	326	34	,	,	PUNCT
fuelectenerg-2763	326	35	pp	pp	ADJ
fuelectenerg-2763	326	36	.	.	PUNCT
fuelectenerg-2763	327	1	345	345	NUM
fuelectenerg-2763	327	2	-	-	SYM
fuelectenerg-2763	327	3	359	359	NUM
fuelectenerg-2763	327	4	.	.	PUNCT
fuelectenerg-2763	328	1	[	[	X
fuelectenerg-2763	328	2	6	6	NUM
fuelectenerg-2763	328	3	]	]	X
fuelectenerg-2763	328	4	n.	n.	NOUN
fuelectenerg-2763	328	5	courtois	courtois	NOUN
fuelectenerg-2763	328	6	,	,	PUNCT
fuelectenerg-2763	328	7	“	"	PUNCT
fuelectenerg-2763	328	8	algebraic	algebraic	ADJ
fuelectenerg-2763	328	9	attack	attack	NOUN
fuelectenerg-2763	328	10	on	on	ADP
fuelectenerg-2763	328	11	combiners	combiner	NOUN
fuelectenerg-2763	328	12	with	with	ADP
fuelectenerg-2763	328	13	memory	memory	NOUN
fuelectenerg-2763	328	14	and	and	CCONJ
fuelectenerg-2763	328	15	several	several	ADJ
fuelectenerg-2763	328	16	outputs	output	NOUN
fuelectenerg-2763	328	17	,	,	PUNCT
fuelectenerg-2763	328	18	”	"	PUNCT
fuelectenerg-2763	328	19	in	in	ADP
fuelectenerg-2763	328	20	information	information	NOUN
fuelectenerg-2763	328	21	security	security	NOUN
fuelectenerg-2763	328	22	and	and	CCONJ
fuelectenerg-2763	328	23	cryptography	cryptography	NOUN
fuelectenerg-2763	328	24	–	–	PUNCT
fuelectenerg-2763	328	25	icisc	icisc	NOUN
fuelectenerg-2763	328	26	2004	2004	NUM
fuelectenerg-2763	328	27	,	,	PUNCT
fuelectenerg-2763	328	28	springer	springer	NOUN
fuelectenerg-2763	328	29	berlin	berlin	PROPN
fuelectenerg-2763	328	30	heidelberg	heidelberg	PROPN
fuelectenerg-2763	328	31	,	,	PUNCT
fuelectenerg-2763	328	32	2004	2004	NUM
fuelectenerg-2763	328	33	,	,	PUNCT
fuelectenerg-2763	328	34	pp	pp	ADJ
fuelectenerg-2763	328	35	.	.	PUNCT
fuelectenerg-2763	329	1	3	3	NUM
fuelectenerg-2763	329	2	-	-	SYM
fuelectenerg-2763	329	3	20	20	NUM
fuelectenerg-2763	329	4	.	.	PUNCT
fuelectenerg-2763	330	1	[	[	X
fuelectenerg-2763	330	2	7	7	X
fuelectenerg-2763	330	3	]	]	X
fuelectenerg-2763	330	4	n.	n.	NOUN
fuelectenerg-2763	330	5	courtois	courtois	PROPN
fuelectenerg-2763	330	6	and	and	CCONJ
fuelectenerg-2763	330	7	j.	j.	PROPN
fuelectenerg-2763	330	8	pieprzyk	pieprzyk	PROPN
fuelectenerg-2763	330	9	,	,	PUNCT
fuelectenerg-2763	330	10	“	"	PUNCT
fuelectenerg-2763	330	11	cryptanalysis	cryptanalysis	NOUN
fuelectenerg-2763	330	12	of	of	ADP
fuelectenerg-2763	330	13	block	block	NOUN
fuelectenerg-2763	330	14	ciphers	cipher	NOUN
fuelectenerg-2763	330	15	with	with	ADP
fuelectenerg-2763	330	16	overdefined	overdefined	ADJ
fuelectenerg-2763	330	17	system	system	NOUN
fuelectenerg-2763	330	18	of	of	ADP
fuelectenerg-2763	330	19	equations	equation	NOUN
fuelectenerg-2763	330	20	,	,	PUNCT
fuelectenerg-2763	330	21	”	"	PUNCT
fuelectenerg-2763	330	22	in	in	ADP
fuelectenerg-2763	330	23	advances	advance	NOUN
fuelectenerg-2763	330	24	in	in	ADP
fuelectenerg-2763	330	25	cryptography	cryptography	NOUN
fuelectenerg-2763	330	26	–	–	PUNCT
fuelectenerg-2763	330	27	asiacrypt	asiacrypt	NOUN
fuelectenerg-2763	330	28	2002	2002	NUM
fuelectenerg-2763	330	29	,	,	PUNCT
fuelectenerg-2763	330	30	springer	springer	NOUN
fuelectenerg-2763	330	31	berlin	berlin	PROPN
fuelectenerg-2763	330	32	heidelberg	heidelberg	PROPN
fuelectenerg-2763	330	33	,	,	PUNCT
fuelectenerg-2763	330	34	2002	2002	NUM
fuelectenerg-2763	330	35	,	,	PUNCT
fuelectenerg-2763	330	36	pp	pp	ADP
fuelectenerg-2763	330	37	.	.	PUNCT
fuelectenerg-2763	331	1	267	267	NUM
fuelectenerg-2763	331	2	-	-	SYM
fuelectenerg-2763	331	3	287	287	NUM
fuelectenerg-2763	331	4	.	.	PUNCT
fuelectenerg-2763	332	1	[	[	X
fuelectenerg-2763	332	2	8	8	NUM
fuelectenerg-2763	332	3	]	]	X
fuelectenerg-2763	332	4	c.	c.	PROPN
fuelectenerg-2763	332	5	adams	adams	PROPN
fuelectenerg-2763	332	6	and	and	CCONJ
fuelectenerg-2763	332	7	s.	s.	PROPN
fuelectenerg-2763	332	8	tavares	tavares	PROPN
fuelectenerg-2763	332	9	,	,	PUNCT
fuelectenerg-2763	332	10	“	"	PUNCT
fuelectenerg-2763	332	11	designing	design	VERB
fuelectenerg-2763	332	12	s	s	NOUN
fuelectenerg-2763	332	13	-	-	NOUN
fuelectenerg-2763	332	14	boxes	box	NOUN
fuelectenerg-2763	332	15	for	for	ADP
fuelectenerg-2763	332	16	ciphers	cipher	NOUN
fuelectenerg-2763	332	17	resistant	resistant	ADJ
fuelectenerg-2763	332	18	to	to	PART
fuelectenerg-2763	332	19	differential	differential	VERB
fuelectenerg-2763	332	20	cryptanalysis	cryptanalysis	NOUN
fuelectenerg-2763	332	21	,	,	PUNCT
fuelectenerg-2763	332	22	”	"	PUNCT
fuelectenerg-2763	332	23	in	in	ADP
fuelectenerg-2763	332	24	proceedings	proceeding	NOUN
fuelectenerg-2763	332	25	of	of	ADP
fuelectenerg-2763	332	26	the	the	DET
fuelectenerg-2763	332	27	3rd	3rd	ADJ
fuelectenerg-2763	332	28	symposium	symposium	NOUN
fuelectenerg-2763	332	29	on	on	ADP
fuelectenerg-2763	332	30	the	the	DET
fuelectenerg-2763	332	31	state	state	NOUN
fuelectenerg-2763	332	32	and	and	CCONJ
fuelectenerg-2763	332	33	progress	progress	NOUN
fuelectenerg-2763	332	34	of	of	ADP
fuelectenerg-2763	332	35	research	research	NOUN
fuelectenerg-2763	332	36	in	in	ADP
fuelectenerg-2763	332	37	cryptography	cryptography	NOUN
fuelectenerg-2763	332	38	,	,	PUNCT
fuelectenerg-2763	332	39	feb	feb	PROPN
fuelectenerg-2763	332	40	.	.	PROPN
fuelectenerg-2763	332	41	1993	1993	NUM
fuelectenerg-2763	332	42	,	,	PUNCT
fuelectenerg-2763	332	43	pp	pp	ADJ
fuelectenerg-2763	332	44	.	.	PUNCT
fuelectenerg-2763	333	1	181	181	NUM
fuelectenerg-2763	333	2	-	-	SYM
fuelectenerg-2763	333	3	190	190	NUM
fuelectenerg-2763	333	4	.	.	PUNCT
fuelectenerg-2763	334	1	[	[	X
fuelectenerg-2763	334	2	9	9	X
fuelectenerg-2763	334	3	]	]	PUNCT
fuelectenerg-2763	334	4	e.	e.	PROPN
fuelectenerg-2763	334	5	biham	biham	PROPN
fuelectenerg-2763	334	6	and	and	CCONJ
fuelectenerg-2763	334	7	a.	a.	NOUN
fuelectenerg-2763	334	8	shamir	shamir	PROPN
fuelectenerg-2763	334	9	,	,	PUNCT
fuelectenerg-2763	334	10	“	"	PUNCT
fuelectenerg-2763	334	11	differential	differential	ADJ
fuelectenerg-2763	334	12	cryptanalysis	cryptanalysis	NOUN
fuelectenerg-2763	334	13	of	of	ADP
fuelectenerg-2763	334	14	des	des	ADJ
fuelectenerg-2763	334	15	-	-	ADJ
fuelectenerg-2763	334	16	like	like	ADJ
fuelectenerg-2763	334	17	cryptosystems	cryptosystem	NOUN
fuelectenerg-2763	334	18	,	,	PUNCT
fuelectenerg-2763	334	19	”	"	PUNCT
fuelectenerg-2763	334	20	journal	journal	NOUN
fuelectenerg-2763	334	21	of	of	ADP
fuelectenerg-2763	334	22	cryptography	cryptography	NOUN
fuelectenerg-2763	334	23	,	,	PUNCT
fuelectenerg-2763	334	24	vol	vol	NOUN
fuelectenerg-2763	334	25	.	.	PROPN
fuelectenerg-2763	334	26	4	4	NUM
fuelectenerg-2763	334	27	,	,	PUNCT
fuelectenerg-2763	334	28	no	no	INTJ
fuelectenerg-2763	334	29	.	.	NOUN
fuelectenerg-2763	334	30	1	1	NUM
fuelectenerg-2763	334	31	,	,	PUNCT
fuelectenerg-2763	334	32	pp	pp	ADJ
fuelectenerg-2763	334	33	.	.	PUNCT
fuelectenerg-2763	335	1	3	3	NUM
fuelectenerg-2763	335	2	-	-	SYM
fuelectenerg-2763	335	3	72	72	NUM
fuelectenerg-2763	335	4	,	,	PUNCT
fuelectenerg-2763	335	5	jan	jan	PROPN
fuelectenerg-2763	335	6	.	.	PROPN
fuelectenerg-2763	335	7	1991	1991	NUM
fuelectenerg-2763	335	8	.	.	PUNCT
fuelectenerg-2763	336	1	[	[	X
fuelectenerg-2763	336	2	10	10	NUM
fuelectenerg-2763	336	3	]	]	PUNCT
fuelectenerg-2763	336	4	m.	m.	NOUN
fuelectenerg-2763	336	5	matsui	matsui	NOUN
fuelectenerg-2763	336	6	,	,	PUNCT
fuelectenerg-2763	336	7	“	"	PUNCT
fuelectenerg-2763	336	8	linear	linear	ADJ
fuelectenerg-2763	336	9	cryptanalysis	cryptanalysis	NOUN
fuelectenerg-2763	336	10	method	method	NOUN
fuelectenerg-2763	336	11	for	for	ADP
fuelectenerg-2763	336	12	des	des	PROPN
fuelectenerg-2763	336	13	cipher	cipher	ADJ
fuelectenerg-2763	336	14	,	,	PUNCT
fuelectenerg-2763	336	15	”	"	PUNCT
fuelectenerg-2763	336	16	in	in	ADP
fuelectenerg-2763	336	17	advances	advance	NOUN
fuelectenerg-2763	336	18	in	in	ADP
fuelectenerg-2763	336	19	cryptography	cryptography	NOUN
fuelectenerg-2763	336	20	–	–	PUNCT
fuelectenerg-2763	336	21	eurocrypt’93	eurocrypt’93	ADJ
fuelectenerg-2763	336	22	,	,	PUNCT
fuelectenerg-2763	336	23	springer	springer	NOUN
fuelectenerg-2763	336	24	berlin	berlin	PROPN
fuelectenerg-2763	336	25	heidelberg	heidelberg	PROPN
fuelectenerg-2763	336	26	,	,	PUNCT
fuelectenerg-2763	336	27	1994	1994	NUM
fuelectenerg-2763	336	28	,	,	PUNCT
fuelectenerg-2763	336	29	pp	pp	ADP
fuelectenerg-2763	336	30	.	.	PUNCT
fuelectenerg-2763	337	1	386	386	NUM
fuelectenerg-2763	337	2	-	-	SYM
fuelectenerg-2763	337	3	397	397	NUM
fuelectenerg-2763	337	4	.	.	PUNCT
fuelectenerg-2763	338	1	a	a	DET
fuelectenerg-2763	338	2	novel	novel	ADJ
fuelectenerg-2763	338	3	architecture	architecture	NOUN
fuelectenerg-2763	338	4	with	with	ADP
fuelectenerg-2763	338	5	scalable	scalable	ADJ
fuelectenerg-2763	338	6	security	security	NOUN
fuelectenerg-2763	338	7	having	have	VERB
fuelectenerg-2763	338	8	expandable	expandable	ADJ
fuelectenerg-2763	338	9	computational	computational	ADJ
fuelectenerg-2763	338	10	complexity	complexity	NOUN
fuelectenerg-2763	338	11	475	475	NUM
fuelectenerg-2763	338	12	[	[	SYM
fuelectenerg-2763	338	13	11	11	NUM
fuelectenerg-2763	338	14	]	]	X
fuelectenerg-2763	338	15	n.	n.	PROPN
fuelectenerg-2763	338	16	courtois	courtois	PROPN
fuelectenerg-2763	338	17	and	and	CCONJ
fuelectenerg-2763	338	18	j.	j.	PROPN
fuelectenerg-2763	338	19	patarin	patarin	PROPN
fuelectenerg-2763	338	20	,	,	PUNCT
fuelectenerg-2763	338	21	“	"	PUNCT
fuelectenerg-2763	338	22	about	about	ADP
fuelectenerg-2763	338	23	the	the	DET
fuelectenerg-2763	338	24	xl	xl	PROPN
fuelectenerg-2763	338	25	algorithm	algorithm	PROPN
fuelectenerg-2763	338	26	over	over	ADP
fuelectenerg-2763	338	27	gf(2	gf(2	PROPN
fuelectenerg-2763	338	28	)	)	PUNCT
fuelectenerg-2763	338	29	,	,	PUNCT
fuelectenerg-2763	338	30	”	"	PUNCT
fuelectenerg-2763	338	31	in	in	ADP
fuelectenerg-2763	338	32	topics	topic	NOUN
fuelectenerg-2763	338	33	in	in	ADP
fuelectenerg-2763	338	34	cryptography	cryptography	NOUN
fuelectenerg-2763	338	35	–	–	PUNCT
fuelectenerg-2763	338	36	ct	ct	PROPN
fuelectenerg-2763	338	37	-	-	PUNCT
fuelectenerg-2763	338	38	rsa	rsa	PROPN
fuelectenerg-2763	338	39	2003	2003	NUM
fuelectenerg-2763	338	40	,	,	PUNCT
fuelectenerg-2763	338	41	springer	springer	NOUN
fuelectenerg-2763	338	42	berlin	berlin	PROPN
fuelectenerg-2763	338	43	heidelberg	heidelberg	PROPN
fuelectenerg-2763	338	44	,	,	PUNCT
fuelectenerg-2763	338	45	2003	2003	NUM
fuelectenerg-2763	338	46	,	,	PUNCT
fuelectenerg-2763	338	47	pp	pp	ADJ
fuelectenerg-2763	338	48	.	.	PUNCT
fuelectenerg-2763	339	1	141	141	NUM
fuelectenerg-2763	339	2	-	-	SYM
fuelectenerg-2763	339	3	157	157	NUM
fuelectenerg-2763	339	4	.	.	PUNCT
fuelectenerg-2763	340	1	[	[	X
fuelectenerg-2763	340	2	12	12	NUM
fuelectenerg-2763	340	3	]	]	X
fuelectenerg-2763	340	4	n.	n.	NOUN
fuelectenerg-2763	340	5	courtois	courtois	NOUN
fuelectenerg-2763	340	6	,	,	PUNCT
fuelectenerg-2763	340	7	“	"	PUNCT
fuelectenerg-2763	340	8	higher	high	ADJ
fuelectenerg-2763	340	9	order	order	NOUN
fuelectenerg-2763	340	10	correlation	correlation	NOUN
fuelectenerg-2763	340	11	attacks	attack	NOUN
fuelectenerg-2763	340	12	,	,	PUNCT
fuelectenerg-2763	340	13	xl	xl	PROPN
fuelectenerg-2763	340	14	algorithm	algorithm	NOUN
fuelectenerg-2763	340	15	and	and	CCONJ
fuelectenerg-2763	340	16	cryptanalysis	cryptanalysis	NOUN
fuelectenerg-2763	340	17	of	of	ADP
fuelectenerg-2763	340	18	toyocrypt	toyocrypt	NOUN
fuelectenerg-2763	340	19	,	,	PUNCT
fuelectenerg-2763	340	20	”	"	PUNCT
fuelectenerg-2763	340	21	in	in	ADP
fuelectenerg-2763	340	22	information	information	NOUN
fuelectenerg-2763	340	23	security	security	NOUN
fuelectenerg-2763	340	24	and	and	CCONJ
fuelectenerg-2763	340	25	cryptography	cryptography	NOUN
fuelectenerg-2763	340	26	–	–	PUNCT
fuelectenerg-2763	340	27	icisc	icisc	NOUN
fuelectenerg-2763	340	28	2002	2002	NUM
fuelectenerg-2763	340	29	,	,	PUNCT
fuelectenerg-2763	340	30	springer	springer	NOUN
fuelectenerg-2763	340	31	berlin	berlin	PROPN
fuelectenerg-2763	340	32	heidelberg	heidelberg	PROPN
fuelectenerg-2763	340	33	,	,	PUNCT
fuelectenerg-2763	340	34	2002	2002	NUM
fuelectenerg-2763	340	35	,	,	PUNCT
fuelectenerg-2763	340	36	pp	pp	ADJ
fuelectenerg-2763	340	37	.	.	PUNCT
fuelectenerg-2763	341	1	182	182	NUM
fuelectenerg-2763	341	2	-	-	SYM
fuelectenerg-2763	341	3	199	199	NUM
fuelectenerg-2763	341	4	.	.	PUNCT
fuelectenerg-2763	342	1	[	[	X
fuelectenerg-2763	342	2	13	13	NUM
fuelectenerg-2763	342	3	]	]	X
fuelectenerg-2763	342	4	n.	n.	NOUN
fuelectenerg-2763	342	5	courtois	courtois	PROPN
fuelectenerg-2763	342	6	,	,	PUNCT
fuelectenerg-2763	342	7	a.	a.	PROPN
fuelectenerg-2763	342	8	klimov	klimov	PROPN
fuelectenerg-2763	342	9	,	,	PUNCT
fuelectenerg-2763	342	10	j.	j.	PROPN
fuelectenerg-2763	342	11	patarin	patarin	PROPN
fuelectenerg-2763	342	12	,	,	PUNCT
fuelectenerg-2763	342	13	and	and	CCONJ
fuelectenerg-2763	342	14	a.	a.	NOUN
fuelectenerg-2763	342	15	shamir	shamir	PROPN
fuelectenerg-2763	342	16	,	,	PUNCT
fuelectenerg-2763	342	17	“	"	PUNCT
fuelectenerg-2763	342	18	efficient	efficient	ADJ
fuelectenerg-2763	342	19	algorithms	algorithm	NOUN
fuelectenerg-2763	342	20	for	for	ADP
fuelectenerg-2763	342	21	solving	solve	VERB
fuelectenerg-2763	342	22	overdefined	overdefine	VERB
fuelectenerg-2763	342	23	systems	system	NOUN
fuelectenerg-2763	342	24	of	of	ADP
fuelectenerg-2763	342	25	multivariate	multivariate	NOUN
fuelectenerg-2763	342	26	polynomial	polynomial	ADJ
fuelectenerg-2763	342	27	equations	equation	NOUN
fuelectenerg-2763	342	28	,	,	PUNCT
fuelectenerg-2763	342	29	”	"	PUNCT
fuelectenerg-2763	342	30	in	in	ADP
fuelectenerg-2763	342	31	advances	advance	NOUN
fuelectenerg-2763	342	32	in	in	ADP
fuelectenerg-2763	342	33	cryptography	cryptography	NOUN
fuelectenerg-2763	342	34	–	–	PUNCT
fuelectenerg-2763	342	35	eurocrypt	eurocrypt	NOUN
fuelectenerg-2763	342	36	2000	2000	NUM
fuelectenerg-2763	342	37	,	,	PUNCT
fuelectenerg-2763	342	38	springer	springer	NOUN
fuelectenerg-2763	342	39	berlin	berlin	PROPN
fuelectenerg-2763	342	40	heidelberg	heidelberg	PROPN
fuelectenerg-2763	342	41	,	,	PUNCT
fuelectenerg-2763	342	42	2000	2000	NUM
fuelectenerg-2763	342	43	,	,	PUNCT
fuelectenerg-2763	342	44	pp	pp	ADJ
fuelectenerg-2763	342	45	.	.	PUNCT
fuelectenerg-2763	342	46	392	392	NUM
fuelectenerg-2763	342	47	-	-	SYM
fuelectenerg-2763	342	48	407	407	NUM
fuelectenerg-2763	342	49	.	.	PUNCT
fuelectenerg-2763	343	1	[	[	X
fuelectenerg-2763	343	2	14	14	NUM
fuelectenerg-2763	343	3	]	]	X
fuelectenerg-2763	343	4	c.	c.	PROPN
fuelectenerg-2763	343	5	adams	adams	PROPN
fuelectenerg-2763	343	6	,	,	PUNCT
fuelectenerg-2763	343	7	“	"	PUNCT
fuelectenerg-2763	343	8	constructing	construct	VERB
fuelectenerg-2763	343	9	symmetric	symmetric	ADJ
fuelectenerg-2763	343	10	ciphers	cipher	NOUN
fuelectenerg-2763	343	11	using	use	VERB
fuelectenerg-2763	343	12	the	the	DET
fuelectenerg-2763	343	13	cast	cast	NOUN
fuelectenerg-2763	343	14	design	design	NOUN
fuelectenerg-2763	343	15	procedure	procedure	NOUN
fuelectenerg-2763	343	16	,	,	PUNCT
fuelectenerg-2763	343	17	”	"	PUNCT
fuelectenerg-2763	343	18	in	in	ADP
fuelectenerg-2763	343	19	selected	select	VERB
fuelectenerg-2763	343	20	areas	area	NOUN
fuelectenerg-2763	343	21	in	in	ADP
fuelectenerg-2763	343	22	cryptography	cryptography	NOUN
fuelectenerg-2763	343	23	,	,	PUNCT
fuelectenerg-2763	343	24	springer	springer	NOUN
fuelectenerg-2763	343	25	us	we	PRON
fuelectenerg-2763	343	26	,	,	PUNCT
fuelectenerg-2763	343	27	1997	1997	NUM
fuelectenerg-2763	343	28	,	,	PUNCT
fuelectenerg-2763	343	29	pp	pp	ADJ
fuelectenerg-2763	343	30	.	.	PUNCT
fuelectenerg-2763	344	1	71	71	NUM
fuelectenerg-2763	344	2	-	-	SYM
fuelectenerg-2763	344	3	104	104	NUM
fuelectenerg-2763	344	4	.	.	PUNCT
fuelectenerg-2763	345	1	[	[	X
fuelectenerg-2763	345	2	15	15	NUM
fuelectenerg-2763	345	3	]	]	X
fuelectenerg-2763	345	4	b.	b.	PROPN
fuelectenerg-2763	345	5	scheier	scheier	PROPN
fuelectenerg-2763	345	6	et	et	PROPN
fuelectenerg-2763	345	7	al	al	PROPN
fuelectenerg-2763	345	8	,	,	PUNCT
fuelectenerg-2763	345	9	the	the	DET
fuelectenerg-2763	345	10	twofish	twofish	NOUN
fuelectenerg-2763	345	11	encryption	encryption	NOUN
fuelectenerg-2763	345	12	algorithm	algorithm	NOUN
fuelectenerg-2763	345	13	:	:	PUNCT
fuelectenerg-2763	345	14	a	a	DET
fuelectenerg-2763	345	15	128	128	NUM
fuelectenerg-2763	345	16	-	-	PUNCT
fuelectenerg-2763	345	17	bit	bit	NOUN
fuelectenerg-2763	345	18	block	block	NOUN
fuelectenerg-2763	345	19	cipher	cipher	ADJ
fuelectenerg-2763	345	20	,	,	PUNCT
fuelectenerg-2763	345	21	new	new	PROPN
fuelectenerg-2763	345	22	york	york	PROPN
fuelectenerg-2763	345	23	,	,	PUNCT
fuelectenerg-2763	345	24	ny	ny	PROPN
fuelectenerg-2763	345	25	,	,	PUNCT
fuelectenerg-2763	345	26	wiley	wiley	PROPN
fuelectenerg-2763	345	27	,	,	PUNCT
fuelectenerg-2763	345	28	1994	1994	NUM
fuelectenerg-2763	345	29	.	.	PUNCT
fuelectenerg-2763	346	1	[	[	X
fuelectenerg-2763	346	2	16	16	NUM
fuelectenerg-2763	346	3	]	]	X
fuelectenerg-2763	346	4	c.	c.	PROPN
fuelectenerg-2763	346	5	burwick	burwick	PROPN
fuelectenerg-2763	346	6	et	et	PROPN
fuelectenerg-2763	346	7	al	al	PROPN
fuelectenerg-2763	346	8	,	,	PUNCT
fuelectenerg-2763	346	9	“	"	PUNCT
fuelectenerg-2763	346	10	mars	mar	NOUN
fuelectenerg-2763	346	11	–	–	PUNCT
fuelectenerg-2763	346	12	a	a	DET
fuelectenerg-2763	346	13	candidate	candidate	NOUN
fuelectenerg-2763	346	14	cipher	cipher	ADJ
fuelectenerg-2763	346	15	for	for	ADP
fuelectenerg-2763	346	16	aes	aes	PROPN
fuelectenerg-2763	346	17	,	,	PUNCT
fuelectenerg-2763	346	18	”	"	PUNCT
fuelectenerg-2763	346	19	ibm	ibm	PROPN
fuelectenerg-2763	346	20	corp	corp	PROPN
fuelectenerg-2763	346	21	.	.	PROPN
fuelectenerg-2763	346	22	,	,	PUNCT
fuelectenerg-2763	346	23	rep	rep	PROPN
fuelectenerg-2763	346	24	.	.	PROPN
fuelectenerg-2763	346	25	,	,	PUNCT
fuelectenerg-2763	346	26	1998	1998	NUM
fuelectenerg-2763	346	27	.	.	PUNCT
fuelectenerg-2763	347	1	[	[	X
fuelectenerg-2763	347	2	17	17	NUM
fuelectenerg-2763	347	3	]	]	PUNCT
fuelectenerg-2763	347	4	p.	p.	NOUN
fuelectenerg-2763	347	5	hawkes	hawkes	PROPN
fuelectenerg-2763	347	6	and	and	CCONJ
fuelectenerg-2763	347	7	g.	g.	PROPN
fuelectenerg-2763	347	8	rose	rise	VERB
fuelectenerg-2763	347	9	,	,	PUNCT
fuelectenerg-2763	347	10	“	"	PUNCT
fuelectenerg-2763	347	11	primitive	primitive	ADJ
fuelectenerg-2763	347	12	specification	specification	NOUN
fuelectenerg-2763	347	13	and	and	CCONJ
fuelectenerg-2763	347	14	supporting	support	VERB
fuelectenerg-2763	347	15	documentation	documentation	NOUN
fuelectenerg-2763	347	16	for	for	ADP
fuelectenerg-2763	347	17	sober	sober	ADJ
fuelectenerg-2763	347	18	-	-	PUNCT
fuelectenerg-2763	347	19	t32	t32	NOUN
fuelectenerg-2763	347	20	submission	submission	NOUN
fuelectenerg-2763	347	21	to	to	ADP
fuelectenerg-2763	347	22	nessie	nessie	NOUN
fuelectenerg-2763	347	23	,	,	PUNCT
fuelectenerg-2763	347	24	”	"	PUNCT
fuelectenerg-2763	347	25	in	in	ADP
fuelectenerg-2763	347	26	the	the	DET
fuelectenerg-2763	347	27	proceedings	proceeding	NOUN
fuelectenerg-2763	347	28	of	of	ADP
fuelectenerg-2763	347	29	the	the	DET
fuelectenerg-2763	347	30	first	first	ADJ
fuelectenerg-2763	347	31	open	open	PROPN
fuelectenerg-2763	347	32	nessie	nessie	PROPN
fuelectenerg-2763	347	33	workshop	workshop	NOUN
fuelectenerg-2763	347	34	,	,	PUNCT
fuelectenerg-2763	347	35	2000	2000	NUM
fuelectenerg-2763	347	36	.	.	PUNCT
fuelectenerg-2763	348	1	[	[	X
fuelectenerg-2763	348	2	18	18	NUM
fuelectenerg-2763	348	3	]	]	PUNCT
fuelectenerg-2763	348	4	p.	p.	NOUN
fuelectenerg-2763	348	5	ekdahl	ekdahl	PROPN
fuelectenerg-2763	348	6	and	and	CCONJ
fuelectenerg-2763	348	7	t.	t.	PROPN
fuelectenerg-2763	348	8	johansson	johansson	PROPN
fuelectenerg-2763	348	9	,	,	PUNCT
fuelectenerg-2763	348	10	“	"	PUNCT
fuelectenerg-2763	348	11	a	a	DET
fuelectenerg-2763	348	12	new	new	ADJ
fuelectenerg-2763	348	13	version	version	NOUN
fuelectenerg-2763	348	14	of	of	ADP
fuelectenerg-2763	348	15	the	the	DET
fuelectenerg-2763	348	16	stream	stream	NOUN
fuelectenerg-2763	348	17	cipher	cipher	ADJ
fuelectenerg-2763	348	18	snow	snow	NOUN
fuelectenerg-2763	348	19	,	,	PUNCT
fuelectenerg-2763	348	20	”	"	PUNCT
fuelectenerg-2763	348	21	in	in	ADP
fuelectenerg-2763	348	22	selected	select	VERB
fuelectenerg-2763	348	23	area	area	NOUN
fuelectenerg-2763	348	24	in	in	ADP
fuelectenerg-2763	348	25	cryptography	cryptography	NOUN
fuelectenerg-2763	348	26	,	,	PUNCT
fuelectenerg-2763	348	27	springer	springer	NOUN
fuelectenerg-2763	348	28	berlin	berlin	PROPN
fuelectenerg-2763	348	29	heidelberg	heidelberg	PROPN
fuelectenerg-2763	348	30	,	,	PUNCT
fuelectenerg-2763	348	31	2003	2003	NUM
fuelectenerg-2763	348	32	,	,	PUNCT
fuelectenerg-2763	348	33	pp	pp	ADJ
fuelectenerg-2763	348	34	.	.	PUNCT
fuelectenerg-2763	349	1	47	47	NUM
fuelectenerg-2763	349	2	-	-	SYM
fuelectenerg-2763	349	3	61	61	NUM
fuelectenerg-2763	349	4	.	.	PUNCT
fuelectenerg-2763	350	1	[	[	X
fuelectenerg-2763	350	2	19	19	NUM
fuelectenerg-2763	350	3	]	]	PUNCT
fuelectenerg-2763	350	4	“	"	PUNCT
fuelectenerg-2763	350	5	specification	specification	NOUN
fuelectenerg-2763	350	6	of	of	ADP
fuelectenerg-2763	350	7	the	the	DET
fuelectenerg-2763	350	8	3gpp	3gpp	PROPN
fuelectenerg-2763	350	9	confidentiality	confidentiality	NOUN
fuelectenerg-2763	350	10	and	and	CCONJ
fuelectenerg-2763	350	11	integrity	integrity	NOUN
fuelectenerg-2763	350	12	algorithms	algorithm	VERB
fuelectenerg-2763	350	13	128	128	NUM
fuelectenerg-2763	350	14	-	-	PUNCT
fuelectenerg-2763	350	15	eea3	eea3	PROPN
fuelectenerg-2763	350	16	&	&	CCONJ
fuelectenerg-2763	350	17	128	128	NUM
fuelectenerg-2763	350	18	-	-	PUNCT
fuelectenerg-2763	350	19	eia3	eia3	NOUN
fuelectenerg-2763	350	20	.	.	PUNCT
fuelectenerg-2763	351	1	document	document	NOUN
fuelectenerg-2763	351	2	2	2	NUM
fuelectenerg-2763	351	3	:	:	PUNCT
fuelectenerg-2763	351	4	zuc	zuc	PROPN
fuelectenerg-2763	351	5	specification	specification	PROPN
fuelectenerg-2763	351	6	,	,	PUNCT
fuelectenerg-2763	351	7	”	"	PUNCT
fuelectenerg-2763	351	8	rep	rep	PROPN
fuelectenerg-2763	351	9	.	.	PROPN
fuelectenerg-2763	351	10	version	version	PROPN
fuelectenerg-2763	351	11	1.6	1.6	NUM
fuelectenerg-2763	351	12	,	,	PUNCT
fuelectenerg-2763	351	13	jan	jan	PROPN
fuelectenerg-2763	351	14	.	.	PROPN
fuelectenerg-2763	351	15	2011	2011	NUM
fuelectenerg-2763	351	16	.	.	PUNCT
fuelectenerg-2763	352	1	[	[	X
fuelectenerg-2763	352	2	20	20	NUM
fuelectenerg-2763	352	3	]	]	X
fuelectenerg-2763	352	4	n.	n.	PROPN
fuelectenerg-2763	352	5	courtois	courtois	PROPN
fuelectenerg-2763	352	6	and	and	CCONJ
fuelectenerg-2763	352	7	b.	b.	PROPN
fuelectenerg-2763	352	8	debraize	debraize	PROPN
fuelectenerg-2763	352	9	,	,	PUNCT
fuelectenerg-2763	352	10	“	"	PUNCT
fuelectenerg-2763	352	11	algebraic	algebraic	ADJ
fuelectenerg-2763	352	12	description	description	NOUN
fuelectenerg-2763	352	13	and	and	CCONJ
fuelectenerg-2763	352	14	simultaneous	simultaneous	ADJ
fuelectenerg-2763	352	15	linear	linear	ADJ
fuelectenerg-2763	352	16	approximations	approximation	NOUN
fuelectenerg-2763	352	17	of	of	ADP
fuelectenerg-2763	352	18	addition	addition	NOUN
fuelectenerg-2763	352	19	in	in	ADP
fuelectenerg-2763	352	20	snow	snow	NOUN
fuelectenerg-2763	352	21	2.0	2.0	NUM
fuelectenerg-2763	352	22	,	,	PUNCT
fuelectenerg-2763	352	23	”	"	PUNCT
fuelectenerg-2763	352	24	in	in	ADP
fuelectenerg-2763	352	25	information	information	NOUN
fuelectenerg-2763	352	26	and	and	CCONJ
fuelectenerg-2763	352	27	communications	communication	NOUN
fuelectenerg-2763	352	28	security	security	NOUN
fuelectenerg-2763	352	29	,	,	PUNCT
fuelectenerg-2763	352	30	springer	springer	NOUN
fuelectenerg-2763	352	31	berlin	berlin	PROPN
fuelectenerg-2763	352	32	heidelberg	heidelberg	PROPN
fuelectenerg-2763	352	33	,	,	PUNCT
fuelectenerg-2763	352	34	2008	2008	NUM
fuelectenerg-2763	352	35	,	,	PUNCT
fuelectenerg-2763	352	36	pp	pp	ADJ
fuelectenerg-2763	352	37	.	.	PUNCT
fuelectenerg-2763	353	1	328	328	NUM
fuelectenerg-2763	353	2	-	-	SYM
fuelectenerg-2763	353	3	344	344	NUM
fuelectenerg-2763	353	4	.	.	PUNCT
fuelectenerg-2763	354	1	[	[	X
fuelectenerg-2763	354	2	21	21	NUM
fuelectenerg-2763	354	3	]	]	PUNCT
fuelectenerg-2763	354	4	a.	a.	NOUN
fuelectenerg-2763	354	5	bushager	bushager	PROPN
fuelectenerg-2763	354	6	,	,	PUNCT
fuelectenerg-2763	354	7	m.	m.	NOUN
fuelectenerg-2763	354	8	zwolinski	zwolinski	NOUN
fuelectenerg-2763	354	9	,	,	PUNCT
fuelectenerg-2763	354	10	"	"	PUNCT
fuelectenerg-2763	354	11	evaluating	evaluate	VERB
fuelectenerg-2763	354	12	system	system	NOUN
fuelectenerg-2763	354	13	security	security	NOUN
fuelectenerg-2763	354	14	using	use	VERB
fuelectenerg-2763	354	15	transaction	transaction	NOUN
fuelectenerg-2763	354	16	level	level	NOUN
fuelectenerg-2763	354	17	modelling	modelling	NOUN
fuelectenerg-2763	354	18	,	,	PUNCT
fuelectenerg-2763	354	19	"	"	PUNCT
fuelectenerg-2763	354	20	facta	facta	PROPN
fuelectenerg-2763	354	21	universitatis	universitatis	PROPN
fuelectenerg-2763	354	22	,	,	PUNCT
fuelectenerg-2763	354	23	series	series	NOUN
fuelectenerg-2763	354	24	:	:	PUNCT
fuelectenerg-2763	354	25	electronics	electronic	NOUN
fuelectenerg-2763	354	26	and	and	CCONJ
fuelectenerg-2763	354	27	energetics	energetic	NOUN
fuelectenerg-2763	354	28	,	,	PUNCT
fuelectenerg-2763	354	29	vol.27	vol.27	NOUN
fuelectenerg-2763	354	30	,	,	PUNCT
fuelectenerg-2763	354	31	issue.1	issue.1	PROPN
fuelectenerg-2763	354	32	,	,	PUNCT
fuelectenerg-2763	354	33	pp.137	pp.137	NOUN
fuelectenerg-2763	354	34	-	-	ADJ
fuelectenerg-2763	354	35	151	151	NUM
fuelectenerg-2763	354	36	,	,	PUNCT
fuelectenerg-2763	354	37	2014	2014	NUM
fuelectenerg-2763	354	38	.	.	PUNCT
fuelectenerg-2763	355	1	[	[	X
fuelectenerg-2763	355	2	22	22	NUM
fuelectenerg-2763	355	3	]	]	PUNCT
fuelectenerg-2763	355	4	a.	a.	NOUN
fuelectenerg-2763	355	5	khanna	khanna	PROPN
fuelectenerg-2763	355	6	,	,	PUNCT
fuelectenerg-2763	355	7	“	"	PUNCT
fuelectenerg-2763	355	8	an	an	DET
fuelectenerg-2763	355	9	architectural	architectural	ADJ
fuelectenerg-2763	355	10	design	design	NOUN
fuelectenerg-2763	355	11	for	for	ADP
fuelectenerg-2763	355	12	cloud	cloud	NOUN
fuelectenerg-2763	355	13	of	of	ADP
fuelectenerg-2763	355	14	things	thing	NOUN
fuelectenerg-2763	355	15	”	"	PUNCT
fuelectenerg-2763	355	16	,	,	PUNCT
fuelectenerg-2763	355	17	facta	facta	PROPN
fuelectenerg-2763	355	18	universitatis	universitatis	PROPN
fuelectenerg-2763	355	19	,	,	PUNCT
fuelectenerg-2763	355	20	series	series	NOUN
fuelectenerg-2763	355	21	:	:	PUNCT
fuelectenerg-2763	355	22	electronics	electronic	NOUN
fuelectenerg-2763	355	23	and	and	CCONJ
fuelectenerg-2763	355	24	energetics	energetic	NOUN
fuelectenerg-2763	355	25	,	,	PUNCT
fuelectenerg-2763	355	26	vol	vol	NOUN
fuelectenerg-2763	355	27	.	.	NOUN
fuelectenerg-2763	355	28	29	29	NUM
fuelectenerg-2763	355	29	issue	issue	NOUN
fuelectenerg-2763	355	30	3	3	NUM
fuelectenerg-2763	355	31	,	,	PUNCT
fuelectenerg-2763	355	32	pp	pp	ADJ
fuelectenerg-2763	355	33	.	.	PUNCT
fuelectenerg-2763	356	1	357	357	NUM
fuelectenerg-2763	356	2	-	-	SYM
fuelectenerg-2763	356	3	365	365	NUM
fuelectenerg-2763	356	4	,	,	PUNCT
fuelectenerg-2763	356	5	2016	2016	NUM
fuelectenerg-2763	356	6	.	.	PUNCT
fuelectenerg-2763	357	1	[	[	X
fuelectenerg-2763	357	2	23	23	NUM
fuelectenerg-2763	357	3	]	]	PUNCT
fuelectenerg-2763	357	4	a.	a.	NOUN
fuelectenerg-2763	357	5	janjic	janjic	PROPN
fuelectenerg-2763	357	6	,	,	PUNCT
fuelectenerg-2763	357	7	s.	s.	PROPN
fuelectenerg-2763	357	8	savic	savic	PROPN
fuelectenerg-2763	357	9	,	,	PUNCT
fuelectenerg-2763	357	10	g.	g.	PROPN
fuelectenerg-2763	357	11	janackovic	janackovic	PROPN
fuelectenerg-2763	357	12	,	,	PUNCT
fuelectenerg-2763	357	13	m.	m.	NOUN
fuelectenerg-2763	357	14	stankovic	stankovic	PROPN
fuelectenerg-2763	357	15	and	and	CCONJ
fuelectenerg-2763	357	16	l.velimirovic	l.velimirovic	ADJ
fuelectenerg-2763	357	17	,	,	PUNCT
fuelectenerg-2763	357	18	“	"	PUNCT
fuelectenerg-2763	357	19	multi	multi	ADJ
fuelectenerg-2763	357	20	-	-	NOUN
fuelectenerg-2763	357	21	criteria	criterion	NOUN
fuelectenerg-2763	357	22	assessment	assessment	NOUN
fuelectenerg-2763	357	23	of	of	ADP
fuelectenerg-2763	357	24	the	the	DET
fuelectenerg-2763	357	25	smart	smart	ADJ
fuelectenerg-2763	357	26	grid	grid	NOUN
fuelectenerg-2763	357	27	efficiency	efficiency	NOUN
fuelectenerg-2763	357	28	using	use	VERB
fuelectenerg-2763	357	29	the	the	DET
fuelectenerg-2763	357	30	fuzzy	fuzzy	ADJ
fuelectenerg-2763	357	31	analytic	analytic	ADJ
fuelectenerg-2763	357	32	hierarchy	hierarchy	NOUN
fuelectenerg-2763	357	33	process	process	NOUN
fuelectenerg-2763	357	34	”	"	PUNCT
fuelectenerg-2763	357	35	,	,	PUNCT
fuelectenerg-2763	357	36	facta	facta	PROPN
fuelectenerg-2763	357	37	universitatis	universitatis	PROPN
fuelectenerg-2763	357	38	,	,	PUNCT
fuelectenerg-2763	357	39	series	series	NOUN
fuelectenerg-2763	357	40	:	:	PUNCT
fuelectenerg-2763	357	41	electronics	electronic	NOUN
fuelectenerg-2763	357	42	and	and	CCONJ
fuelectenerg-2763	357	43	energetics	energetic	NOUN
fuelectenerg-2763	357	44	,	,	PUNCT
fuelectenerg-2763	357	45	vol	vol	NOUN
fuelectenerg-2763	357	46	.	.	PROPN
fuelectenerg-2763	357	47	29	29	NUM
fuelectenerg-2763	357	48	,	,	PUNCT
fuelectenerg-2763	357	49	issue	issue	NOUN
fuelectenerg-2763	357	50	.	.	PUNCT
fuelectenerg-2763	358	1	4	4	NUM
fuelectenerg-2763	358	2	,	,	PUNCT
fuelectenerg-2763	358	3	pp	pp	ADJ
fuelectenerg-2763	358	4	.	.	PUNCT
fuelectenerg-2763	359	1	631	631	NUM
fuelectenerg-2763	359	2	-	-	SYM
fuelectenerg-2763	359	3	646	646	NUM
fuelectenerg-2763	359	4	,	,	PUNCT
fuelectenerg-2763	359	5	2016	2016	NUM
fuelectenerg-2763	359	6	.	.	PUNCT
fuelectenerg-2763	360	1	[	[	X
fuelectenerg-2763	360	2	24	24	NUM
fuelectenerg-2763	360	3	]	]	PUNCT
fuelectenerg-2763	360	4	m.	m.	NOUN
fuelectenerg-2763	360	5	a.	a.	NOUN
fuelectenerg-2763	360	6	dimitrijević	dimitrijević	NOUN
fuelectenerg-2763	360	7	,	,	PUNCT
fuelectenerg-2763	360	8	m.	m.	NOUN
fuelectenerg-2763	360	9	andrejević	andrejević	PROPN
fuelectenerg-2763	360	10	-	-	PUNCT
fuelectenerg-2763	360	11	stošović	stošović	PROPN
fuelectenerg-2763	360	12	,	,	PUNCT
fuelectenerg-2763	360	13	j.	j.	PROPN
fuelectenerg-2763	360	14	milojković	milojković	PROPN
fuelectenerg-2763	360	15	,	,	PUNCT
fuelectenerg-2763	360	16	v.	v.	PROPN
fuelectenerg-2763	360	17	litovski	litovski	NOUN
fuelectenerg-2763	360	18	,	,	PUNCT
fuelectenerg-2763	360	19	"	"	PUNCT
fuelectenerg-2763	360	20	implementation	implementation	NOUN
fuelectenerg-2763	360	21	of	of	ADP
fuelectenerg-2763	360	22	artificial	artificial	ADJ
fuelectenerg-2763	360	23	neural	neural	ADJ
fuelectenerg-2763	360	24	networks	network	NOUN
fuelectenerg-2763	360	25	based	base	VERB
fuelectenerg-2763	360	26	ai	ai	VERB
fuelectenerg-2763	360	27	concepts	concept	NOUN
fuelectenerg-2763	360	28	to	to	ADP
fuelectenerg-2763	360	29	the	the	DET
fuelectenerg-2763	360	30	smart	smart	ADJ
fuelectenerg-2763	360	31	grid	grid	NOUN
fuelectenerg-2763	360	32	"	"	PUNCT
fuelectenerg-2763	360	33	,	,	PUNCT
fuelectenerg-2763	360	34	facta	facta	PROPN
fuelectenerg-2763	360	35	universitatis	universitatis	PROPN
fuelectenerg-2763	360	36	,	,	PUNCT
fuelectenerg-2763	360	37	series	series	NOUN
fuelectenerg-2763	360	38	:	:	PUNCT
fuelectenerg-2763	360	39	electronics	electronic	NOUN
fuelectenerg-2763	360	40	and	and	CCONJ
fuelectenerg-2763	360	41	energetics	energetic	NOUN
fuelectenerg-2763	360	42	,	,	PUNCT
fuelectenerg-2763	360	43	vol.27	vol.27	NOUN
fuelectenerg-2763	360	44	,	,	PUNCT
fuelectenerg-2763	360	45	issue.3	issue.3	ADJ
fuelectenerg-2763	360	46	,	,	PUNCT
fuelectenerg-2763	360	47	pp.411	pp.411	PROPN
fuelectenerg-2763	360	48	-	-	PUNCT
fuelectenerg-2763	360	49	424	424	NUM
fuelectenerg-2763	360	50	,	,	PUNCT
fuelectenerg-2763	360	51	2014	2014	NUM
fuelectenerg-2763	360	52	.	.	PUNCT
fuelectenerg-2763	361	1	[	[	X
fuelectenerg-2763	361	2	25	25	NUM
fuelectenerg-2763	361	3	]	]	PUNCT
fuelectenerg-2763	361	4	w.	w.	PROPN
fuelectenerg-2763	361	5	meier	meier	PROPN
fuelectenerg-2763	361	6	,	,	PUNCT
fuelectenerg-2763	361	7	e.	e.	PROPN
fuelectenerg-2763	361	8	pasalic	pasalic	PROPN
fuelectenerg-2763	361	9	,	,	PUNCT
fuelectenerg-2763	361	10	and	and	CCONJ
fuelectenerg-2763	361	11	c.	c.	PROPN
fuelectenerg-2763	361	12	carlet	carlet	PROPN
fuelectenerg-2763	361	13	,	,	PUNCT
fuelectenerg-2763	361	14	“	"	PUNCT
fuelectenerg-2763	361	15	algebraic	algebraic	ADJ
fuelectenerg-2763	361	16	attacks	attack	NOUN
fuelectenerg-2763	361	17	and	and	CCONJ
fuelectenerg-2763	361	18	decomposition	decomposition	NOUN
fuelectenerg-2763	361	19	of	of	ADP
fuelectenerg-2763	361	20	boolean	boolean	ADJ
fuelectenerg-2763	361	21	functions	function	NOUN
fuelectenerg-2763	361	22	,	,	PUNCT
fuelectenerg-2763	361	23	”	"	PUNCT
fuelectenerg-2763	361	24	in	in	ADP
fuelectenerg-2763	361	25	advances	advance	NOUN
fuelectenerg-2763	361	26	in	in	ADP
fuelectenerg-2763	361	27	cryptography	cryptography	NOUN
fuelectenerg-2763	361	28	–	–	PUNCT
fuelectenerg-2763	361	29	eurocrypt	eurocrypt	NOUN
fuelectenerg-2763	361	30	2004	2004	NUM
fuelectenerg-2763	361	31	,	,	PUNCT
fuelectenerg-2763	361	32	springer	springer	NOUN
fuelectenerg-2763	361	33	berlin	berlin	PROPN
fuelectenerg-2763	361	34	heidelberg	heidelberg	PROPN
fuelectenerg-2763	361	35	,	,	PUNCT
fuelectenerg-2763	361	36	2004	2004	NUM
fuelectenerg-2763	361	37	,	,	PUNCT
fuelectenerg-2763	361	38	pp	pp	ADV
fuelectenerg-2763	361	39	.	.	PUNCT
fuelectenerg-2763	362	1	474	474	NUM
fuelectenerg-2763	362	2	-	-	SYM
fuelectenerg-2763	362	3	491	491	NUM
fuelectenerg-2763	362	4	.	.	PUNCT
fuelectenerg-2763	363	1	[	[	X
fuelectenerg-2763	363	2	26	26	NUM
fuelectenerg-2763	363	3	]	]	X
fuelectenerg-2763	363	4	s.	s.	PROPN
fuelectenerg-2763	363	5	sarkar	sarkar	PROPN
fuelectenerg-2763	363	6	,	,	PUNCT
fuelectenerg-2763	363	7	s.	s.	PROPN
fuelectenerg-2763	363	8	banik	banik	PROPN
fuelectenerg-2763	363	9	and	and	CCONJ
fuelectenerg-2763	363	10	s.	s.	PROPN
fuelectenerg-2763	363	11	maitra	maitra	PROPN
fuelectenerg-2763	363	12	,	,	PUNCT
fuelectenerg-2763	363	13	"	"	PUNCT
fuelectenerg-2763	363	14	differential	differential	ADJ
fuelectenerg-2763	363	15	fault	fault	NOUN
fuelectenerg-2763	363	16	attack	attack	NOUN
fuelectenerg-2763	363	17	against	against	ADP
fuelectenerg-2763	363	18	grain	grain	NOUN
fuelectenerg-2763	363	19	family	family	NOUN
fuelectenerg-2763	363	20	with	with	ADP
fuelectenerg-2763	363	21	very	very	ADV
fuelectenerg-2763	363	22	few	few	ADJ
fuelectenerg-2763	363	23	faults	fault	NOUN
fuelectenerg-2763	363	24	and	and	CCONJ
fuelectenerg-2763	363	25	minimal	minimal	ADJ
fuelectenerg-2763	363	26	assumptions	assumption	NOUN
fuelectenerg-2763	363	27	,	,	PUNCT
fuelectenerg-2763	363	28	"	"	PUNCT
fuelectenerg-2763	363	29	ieee	ieee	NOUN
fuelectenerg-2763	363	30	transactions	transaction	NOUN
fuelectenerg-2763	363	31	on	on	ADP
fuelectenerg-2763	363	32	computers	computer	NOUN
fuelectenerg-2763	363	33	,	,	PUNCT
fuelectenerg-2763	363	34	vol	vol	NOUN
fuelectenerg-2763	363	35	.	.	PROPN
fuelectenerg-2763	363	36	64	64	NUM
fuelectenerg-2763	363	37	,	,	PUNCT
fuelectenerg-2763	363	38	no	no	INTJ
fuelectenerg-2763	363	39	.	.	NOUN
fuelectenerg-2763	363	40	6	6	NUM
fuelectenerg-2763	363	41	,	,	PUNCT
fuelectenerg-2763	363	42	pp	pp	ADJ
fuelectenerg-2763	363	43	.	.	PUNCT
fuelectenerg-2763	363	44	1647	1647	NUM
fuelectenerg-2763	363	45	-	-	SYM
fuelectenerg-2763	363	46	1657	1657	NUM
fuelectenerg-2763	363	47	,	,	PUNCT
fuelectenerg-2763	363	48	june	june	PROPN
fuelectenerg-2763	363	49	2015	2015	NUM
fuelectenerg-2763	363	50	.	.	PUNCT