id	sid	tid	token	lemma	pos
ejpam-450	1	1	15_450_rey.dvi	15_450_rey.dvi	PROPN
ejpam-450	1	2	european	european	PROPN
ejpam-450	1	3	journal	journal	PROPN
ejpam-450	1	4	of	of	ADP
ejpam-450	1	5	pure	pure	ADJ
ejpam-450	1	6	and	and	CCONJ
ejpam-450	1	7	applied	apply	VERB
ejpam-450	1	8	mathematics	mathematic	NOUN
ejpam-450	1	9	vol	vol	NOUN
ejpam-450	1	10	.	.	PUNCT
ejpam-450	2	1	3	3	NUM
ejpam-450	2	2	,	,	PUNCT
ejpam-450	2	3	no	no	INTJ
ejpam-450	2	4	.	.	NOUN
ejpam-450	2	5	4	4	NUM
ejpam-450	2	6	,	,	PUNCT
ejpam-450	2	7	2010	2010	NUM
ejpam-450	2	8	,	,	PUNCT
ejpam-450	2	9	765	765	NUM
ejpam-450	2	10	-	-	SYM
ejpam-450	2	11	778	778	NUM
ejpam-450	2	12	issn	issn	PROPN
ejpam-450	2	13	1307	1307	NUM
ejpam-450	2	14	-	-	SYM
ejpam-450	2	15	5543	5543	NUM
ejpam-450	2	16	–	–	PUNCT
ejpam-450	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-450	2	18	the	the	DET
ejpam-450	2	19	cryptographic	cryptographic	ADJ
ejpam-450	2	20	properties	property	NOUN
ejpam-450	2	21	of	of	ADP
ejpam-450	2	22	von	von	PROPN
ejpam-450	2	23	neumann	neumann	PROPN
ejpam-450	2	24	cellular	cellular	PROPN
ejpam-450	2	25	automata	automata	PROPN
ejpam-450	2	26	j.	j.	PROPN
ejpam-450	2	27	escuadra	escuadra	PROPN
ejpam-450	2	28	burrieza1	burrieza1	PROPN
ejpam-450	2	29	,	,	PUNCT
ejpam-450	2	30	a.	a.	PROPN
ejpam-450	2	31	martín	martín	PROPN
ejpam-450	2	32	del	del	PROPN
ejpam-450	2	33	rey	rey	PROPN
ejpam-450	2	34	2,∗	2,∗	PROPN
ejpam-450	2	35	,	,	PUNCT
ejpam-450	2	36	j.l	j.l	PROPN
ejpam-450	2	37	.	.	PROPN
ejpam-450	2	38	pérez	pérez	PROPN
ejpam-450	2	39	iglesias1	iglesias1	PROPN
ejpam-450	2	40	,	,	PUNCT
ejpam-450	2	41	g.	g.	PROPN
ejpam-450	2	42	rodríguez	rodríguez	PROPN
ejpam-450	2	43	sánchez	sánchez	PROPN
ejpam-450	2	44	3	3	NUM
ejpam-450	2	45	,	,	PUNCT
ejpam-450	2	46	a.	a.	NOUN
ejpam-450	2	47	queiruga	queiruga	NOUN
ejpam-450	2	48	dios4	dios4	PROPN
ejpam-450	2	49	,	,	PUNCT
ejpam-450	2	50	a.	a.	PROPN
ejpam-450	2	51	de	de	PROPN
ejpam-450	2	52	la	la	PROPN
ejpam-450	2	53	villa	villa	PROPN
ejpam-450	2	54	cuenca5	cuenca5	PROPN
ejpam-450	3	1	1	1	NUM
ejpam-450	3	2	department	department	NOUN
ejpam-450	3	3	of	of	ADP
ejpam-450	3	4	informatics	informatic	NOUN
ejpam-450	3	5	and	and	CCONJ
ejpam-450	3	6	automation	automation	NOUN
ejpam-450	3	7	,	,	PUNCT
ejpam-450	3	8	high	high	ADJ
ejpam-450	3	9	polytechnic	polytechnic	ADJ
ejpam-450	3	10	school	school	NOUN
ejpam-450	3	11	of	of	ADP
ejpam-450	3	12	zamora	zamora	PROPN
ejpam-450	3	13	,	,	PUNCT
ejpam-450	3	14	universidad	universidad	PROPN
ejpam-450	3	15	de	de	PROPN
ejpam-450	3	16	salamanca	salamanca	PROPN
ejpam-450	3	17	,	,	PUNCT
ejpam-450	3	18	zamora	zamora	PROPN
ejpam-450	3	19	,	,	PUNCT
ejpam-450	3	20	spain	spain	PROPN
ejpam-450	3	21	2	2	NUM
ejpam-450	3	22	department	department	NOUN
ejpam-450	3	23	of	of	ADP
ejpam-450	3	24	applied	apply	VERB
ejpam-450	3	25	mathematics	mathematic	NOUN
ejpam-450	3	26	,	,	PUNCT
ejpam-450	3	27	high	high	ADJ
ejpam-450	3	28	polytechnic	polytechnic	ADJ
ejpam-450	3	29	school	school	NOUN
ejpam-450	3	30	of	of	ADP
ejpam-450	3	31	ávila	ávila	PROPN
ejpam-450	3	32	,	,	PUNCT
ejpam-450	3	33	universidad	universidad	PROPN
ejpam-450	3	34	de	de	PROPN
ejpam-450	3	35	salamanca	salamanca	PROPN
ejpam-450	3	36	,	,	PUNCT
ejpam-450	3	37	ávila	ávila	PROPN
ejpam-450	3	38	,	,	PUNCT
ejpam-450	3	39	spain	spain	PROPN
ejpam-450	3	40	3	3	NUM
ejpam-450	3	41	department	department	NOUN
ejpam-450	3	42	of	of	ADP
ejpam-450	3	43	applied	apply	VERB
ejpam-450	3	44	mathematics	mathematic	NOUN
ejpam-450	3	45	,	,	PUNCT
ejpam-450	3	46	high	high	ADJ
ejpam-450	3	47	polytechnic	polytechnic	ADJ
ejpam-450	3	48	school	school	NOUN
ejpam-450	3	49	of	of	ADP
ejpam-450	3	50	zamora	zamora	PROPN
ejpam-450	3	51	,	,	PUNCT
ejpam-450	3	52	universidad	universidad	PROPN
ejpam-450	3	53	de	de	PROPN
ejpam-450	3	54	salamanca	salamanca	PROPN
ejpam-450	3	55	,	,	PUNCT
ejpam-450	3	56	zamora	zamora	PROPN
ejpam-450	3	57	,	,	PUNCT
ejpam-450	3	58	spain	spain	PROPN
ejpam-450	3	59	4	4	NUM
ejpam-450	3	60	department	department	NOUN
ejpam-450	3	61	of	of	ADP
ejpam-450	3	62	applied	apply	VERB
ejpam-450	3	63	mathematics	mathematic	NOUN
ejpam-450	3	64	,	,	PUNCT
ejpam-450	3	65	high	high	ADJ
ejpam-450	3	66	technic	technic	NOUN
ejpam-450	3	67	school	school	NOUN
ejpam-450	3	68	of	of	ADP
ejpam-450	3	69	béjar	béjar	NOUN
ejpam-450	3	70	,	,	PUNCT
ejpam-450	3	71	universidad	universidad	PROPN
ejpam-450	3	72	de	de	PROPN
ejpam-450	3	73	salamanca	salamanca	PROPN
ejpam-450	3	74	,	,	PUNCT
ejpam-450	3	75	béjar	béjar	PROPN
ejpam-450	3	76	-	-	PUNCT
ejpam-450	3	77	salamanca	salamanca	PROPN
ejpam-450	3	78	,	,	PUNCT
ejpam-450	3	79	spain	spain	PROPN
ejpam-450	3	80	5	5	NUM
ejpam-450	3	81	department	department	NOUN
ejpam-450	3	82	of	of	ADP
ejpam-450	3	83	applied	apply	VERB
ejpam-450	3	84	mathematics	mathematic	NOUN
ejpam-450	3	85	and	and	CCONJ
ejpam-450	3	86	computation	computation	NOUN
ejpam-450	3	87	,	,	PUNCT
ejpam-450	3	88	icai	icai	PROPN
ejpam-450	3	89	,	,	PUNCT
ejpam-450	3	90	universidad	universidad	PROPN
ejpam-450	3	91	pontifia	pontifia	PROPN
ejpam-450	3	92	comillas	comillas	PROPN
ejpam-450	3	93	,	,	PUNCT
ejpam-450	3	94	madrid	madrid	PROPN
ejpam-450	3	95	,	,	PUNCT
ejpam-450	3	96	spain	spain	PROPN
ejpam-450	3	97	abstract	abstract	NOUN
ejpam-450	3	98	.	.	PUNCT
ejpam-450	4	1	in	in	ADP
ejpam-450	4	2	this	this	DET
ejpam-450	4	3	paper	paper	NOUN
ejpam-450	4	4	it	it	PRON
ejpam-450	4	5	is	be	AUX
ejpam-450	4	6	shown	show	VERB
ejpam-450	4	7	that	that	SCONJ
ejpam-450	4	8	two	two	NUM
ejpam-450	4	9	-	-	PUNCT
ejpam-450	4	10	dimensional	dimensional	ADJ
ejpam-450	4	11	cellular	cellular	ADJ
ejpam-450	4	12	automata	automata	NOUN
ejpam-450	4	13	with	with	ADP
ejpam-450	4	14	von	von	PROPN
ejpam-450	4	15	neumann	neumann	PROPN
ejpam-450	4	16	neighborhoods	neighborhood	NOUN
ejpam-450	4	17	are	be	AUX
ejpam-450	4	18	not	not	PART
ejpam-450	4	19	suitable	suitable	ADJ
ejpam-450	4	20	for	for	ADP
ejpam-450	4	21	cryptographic	cryptographic	ADJ
ejpam-450	4	22	purposes	purpose	NOUN
ejpam-450	4	23	.	.	PUNCT
ejpam-450	5	1	this	this	DET
ejpam-450	5	2	result	result	NOUN
ejpam-450	5	3	is	be	AUX
ejpam-450	5	4	obtained	obtain	VERB
ejpam-450	5	5	after	after	ADP
ejpam-450	5	6	analyzing	analyze	VERB
ejpam-450	5	7	the	the	DET
ejpam-450	5	8	most	most	ADV
ejpam-450	5	9	important	important	ADJ
ejpam-450	5	10	cryptographic	cryptographic	ADJ
ejpam-450	5	11	properties	property	NOUN
ejpam-450	5	12	of	of	ADP
ejpam-450	5	13	boolean	boolean	ADJ
ejpam-450	5	14	functions	function	NOUN
ejpam-450	5	15	defining	define	VERB
ejpam-450	5	16	their	their	PRON
ejpam-450	5	17	local	local	ADJ
ejpam-450	5	18	transition	transition	NOUN
ejpam-450	5	19	rules	rule	NOUN
ejpam-450	5	20	2000	2000	NUM
ejpam-450	5	21	mathematics	mathematic	NOUN
ejpam-450	5	22	subject	subject	NOUN
ejpam-450	5	23	classifications	classification	NOUN
ejpam-450	5	24	:	:	PUNCT
ejpam-450	5	25	68q80	68q80	NUM
ejpam-450	5	26	,	,	PUNCT
ejpam-450	5	27	94a60	94a60	NUM
ejpam-450	5	28	,	,	PUNCT
ejpam-450	5	29	94c10	94c10	NUM
ejpam-450	5	30	key	key	ADJ
ejpam-450	5	31	words	word	NOUN
ejpam-450	5	32	and	and	CCONJ
ejpam-450	5	33	phrases	phrase	NOUN
ejpam-450	5	34	:	:	PUNCT
ejpam-450	5	35	cellular	cellular	ADJ
ejpam-450	5	36	automata	automata	NOUN
ejpam-450	5	37	,	,	PUNCT
ejpam-450	5	38	boolean	boolean	ADJ
ejpam-450	5	39	functions	function	NOUN
ejpam-450	5	40	,	,	PUNCT
ejpam-450	5	41	cryptographic	cryptographic	ADJ
ejpam-450	5	42	properties	property	NOUN
ejpam-450	5	43	,	,	PUNCT
ejpam-450	5	44	non	non	ADJ
ejpam-450	5	45	-	-	ADJ
ejpam-450	5	46	linearity	linearity	ADJ
ejpam-450	5	47	,	,	PUNCT
ejpam-450	5	48	walsh	walsh	NOUN
ejpam-450	5	49	transform	transform	VERB
ejpam-450	5	50	1	1	NUM
ejpam-450	5	51	.	.	PUNCT
ejpam-450	5	52	introduction	introduction	NOUN
ejpam-450	5	53	and	and	CCONJ
ejpam-450	5	54	preliminaries	preliminary	NOUN
ejpam-450	5	55	cellular	cellular	ADJ
ejpam-450	5	56	automata	automata	NOUN
ejpam-450	5	57	are	be	AUX
ejpam-450	5	58	simple	simple	ADJ
ejpam-450	5	59	models	model	NOUN
ejpam-450	5	60	of	of	ADP
ejpam-450	5	61	computation	computation	NOUN
ejpam-450	5	62	in	in	ADP
ejpam-450	5	63	which	which	DET
ejpam-450	5	64	time	time	NOUN
ejpam-450	5	65	and	and	CCONJ
ejpam-450	5	66	space	space	NOUN
ejpam-450	5	67	are	be	AUX
ejpam-450	5	68	discrete	discrete	ADJ
ejpam-450	5	69	.	.	PUNCT
ejpam-450	6	1	they	they	PRON
ejpam-450	6	2	are	be	AUX
ejpam-450	6	3	formed	form	VERB
ejpam-450	6	4	by	by	ADP
ejpam-450	6	5	a	a	DET
ejpam-450	6	6	finite	finite	ADJ
ejpam-450	6	7	set	set	NOUN
ejpam-450	6	8	of	of	ADP
ejpam-450	6	9	memory	memory	NOUN
ejpam-450	6	10	units	unit	NOUN
ejpam-450	6	11	called	call	VERB
ejpam-450	6	12	cells	cell	NOUN
ejpam-450	6	13	which	which	PRON
ejpam-450	6	14	are	be	AUX
ejpam-450	6	15	endowed	endow	VERB
ejpam-450	6	16	with	with	ADP
ejpam-450	6	17	a	a	DET
ejpam-450	6	18	state	state	NOUN
ejpam-450	6	19	(	(	PUNCT
ejpam-450	6	20	0	0	NUM
ejpam-450	6	21	or	or	CCONJ
ejpam-450	6	22	1	1	NUM
ejpam-450	6	23	)	)	PUNCT
ejpam-450	6	24	at	at	ADP
ejpam-450	6	25	each	each	DET
ejpam-450	6	26	time	time	NOUN
ejpam-450	6	27	step	step	NOUN
ejpam-450	6	28	.	.	PUNCT
ejpam-450	7	1	these	these	DET
ejpam-450	7	2	states	state	NOUN
ejpam-450	7	3	change	change	VERB
ejpam-450	7	4	according	accord	VERB
ejpam-450	7	5	to	to	ADP
ejpam-450	7	6	a	a	DET
ejpam-450	7	7	local	local	ADJ
ejpam-450	7	8	transition	transition	NOUN
ejpam-450	7	9	rule	rule	NOUN
ejpam-450	7	10	whose	whose	DET
ejpam-450	7	11	variables	variable	NOUN
ejpam-450	7	12	are	be	AUX
ejpam-450	7	13	the	the	DET
ejpam-450	7	14	states	state	NOUN
ejpam-450	7	15	of	of	ADP
ejpam-450	7	16	the	the	DET
ejpam-450	7	17	neighbor	neighbor	NOUN
ejpam-450	7	18	cells	cell	NOUN
ejpam-450	7	19	at	at	ADP
ejpam-450	7	20	the	the	DET
ejpam-450	7	21	previous	previous	ADJ
ejpam-450	7	22	time	time	NOUN
ejpam-450	7	23	step	step	NOUN
ejpam-450	7	24	[	[	X
ejpam-450	7	25	see	see	VERB
ejpam-450	7	26	14	14	NUM
ejpam-450	7	27	]	]	PUNCT
ejpam-450	7	28	.	.	PUNCT
ejpam-450	8	1	despite	despite	SCONJ
ejpam-450	8	2	its	its	PRON
ejpam-450	8	3	simplicity	simplicity	NOUN
ejpam-450	8	4	,	,	PUNCT
ejpam-450	8	5	cellular	cellular	ADJ
ejpam-450	8	6	automata	automata	NOUN
ejpam-450	8	7	are	be	AUX
ejpam-450	8	8	able	able	ADJ
ejpam-450	8	9	to	to	PART
ejpam-450	8	10	simulate	simulate	VERB
ejpam-450	8	11	several	several	ADJ
ejpam-450	8	12	types	type	NOUN
ejpam-450	8	13	of	of	ADP
ejpam-450	8	14	complex	complex	ADJ
ejpam-450	8	15	phenomena	phenomenon	NOUN
ejpam-450	8	16	.	.	PUNCT
ejpam-450	9	1	thus	thus	ADV
ejpam-450	9	2	,	,	PUNCT
ejpam-450	9	3	a	a	DET
ejpam-450	9	4	lot	lot	NOUN
ejpam-450	9	5	of	of	ADP
ejpam-450	9	6	works	work	NOUN
ejpam-450	9	7	have	have	AUX
ejpam-450	9	8	been	be	AUX
ejpam-450	9	9	appeared	appear	VERB
ejpam-450	9	10	in	in	ADP
ejpam-450	9	11	scientific	scientific	ADJ
ejpam-450	9	12	literature	literature	NOUN
ejpam-450	9	13	proposing	propose	VERB
ejpam-450	9	14	models	model	NOUN
ejpam-450	9	15	∗corresponding	∗corresponde	VERB
ejpam-450	9	16	author	author	NOUN
ejpam-450	9	17	.	.	PUNCT
ejpam-450	10	1	email	email	NOUN
ejpam-450	10	2	addresses	address	NOUN
ejpam-450	10	3	:	:	PUNCT
ejpam-450	10	4	jeb�usal.es	jeb�usal.es	PROPN
ejpam-450	10	5	(	(	PUNCT
ejpam-450	10	6	j.	j.	PROPN
ejpam-450	10	7	escuadra	escuadra	PROPN
ejpam-450	10	8	)	)	PUNCT
ejpam-450	10	9	,	,	PUNCT
ejpam-450	10	10	delrey�usal.es	delrey�usal.es	PROPN
ejpam-450	10	11	(	(	PUNCT
ejpam-450	10	12	a.	a.	NOUN
ejpam-450	10	13	martín	martín	PROPN
ejpam-450	10	14	del	del	PROPN
ejpam-450	10	15	rey	rey	PROPN
ejpam-450	10	16	)	)	PUNCT
ejpam-450	10	17	,	,	PUNCT
ejpam-450	10	18	jpi�usal.es	jpi�usal.es	PROPN
ejpam-450	10	19	(	(	PUNCT
ejpam-450	10	20	j.	j.	PROPN
ejpam-450	10	21	iglesias	iglesias	PROPN
ejpam-450	10	22	)	)	PUNCT
ejpam-450	10	23	,	,	PUNCT
ejpam-450	11	1	gerardo�usal.es	gerardo�usal.es	PROPN
ejpam-450	11	2	(	(	PUNCT
ejpam-450	11	3	g.	g.	PROPN
ejpam-450	11	4	sánchez	sánchez	PROPN
ejpam-450	11	5	)	)	PUNCT
ejpam-450	11	6	,	,	PUNCT
ejpam-450	11	7	queirugadios�usal.es	queirugadios�usal.es	PROPN
ejpam-450	11	8	(	(	PUNCT
ejpam-450	11	9	a.	a.	NOUN
ejpam-450	11	10	dios),avilla	dios),avilla	X
ejpam-450	11	11	�	�	PROPN
ejpam-450	11	12	dm	dm	NUM
ejpam-450	11	13	.i	.i	NOUN
ejpam-450	12	1	ai.up	ai.up	NOUN
ejpam-450	12	2	omillas.es	omillas.es	PROPN
ejpam-450	12	3	(	(	PUNCT
ejpam-450	12	4	a.	a.	PROPN
ejpam-450	12	5	de	de	PROPN
ejpam-450	12	6	la	la	PROPN
ejpam-450	12	7	villa	villa	PROPN
ejpam-450	12	8	cuenca	cuenca	PROPN
ejpam-450	12	9	)	)	PUNCT
ejpam-450	12	10	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-450	13	1	765	765	NUM
ejpam-450	13	2	c	c	X
ejpam-450	13	3	©	©	PROPN
ejpam-450	13	4	2010	2010	NUM
ejpam-450	13	5	ejpam	ejpam	NOUN
ejpam-450	13	6	all	all	DET
ejpam-450	13	7	rights	right	NOUN
ejpam-450	13	8	reserved	reserve	VERB
ejpam-450	13	9	.	.	PUNCT
ejpam-450	14	1	j.	j.	PROPN
ejpam-450	14	2	escuadra	escuadra	PROPN
ejpam-450	14	3	,	,	PUNCT
ejpam-450	14	4	a.	a.	PROPN
ejpam-450	14	5	martín	martín	PROPN
ejpam-450	14	6	del	del	PROPN
ejpam-450	14	7	rey	rey	PROPN
ejpam-450	14	8	,	,	PUNCT
ejpam-450	14	9	et	et	NOUN
ejpam-450	14	10	.	.	PUNCT
ejpam-450	15	1	al	al	PROPN
ejpam-450	15	2	.	.	PUNCT
ejpam-450	15	3	/	/	SYM
ejpam-450	15	4	eur	eur	PROPN
ejpam-450	15	5	.	.	PUNCT
ejpam-450	16	1	j.	j.	PROPN
ejpam-450	16	2	pure	pure	PROPN
ejpam-450	16	3	appl	appl	PROPN
ejpam-450	16	4	.	.	PROPN
ejpam-450	16	5	math	math	PROPN
ejpam-450	16	6	,	,	PUNCT
ejpam-450	16	7	3	3	NUM
ejpam-450	16	8	(	(	PUNCT
ejpam-450	16	9	2010	2010	NUM
ejpam-450	16	10	)	)	PUNCT
ejpam-450	16	11	,	,	PUNCT
ejpam-450	16	12	765	765	NUM
ejpam-450	16	13	-	-	SYM
ejpam-450	16	14	778	778	NUM
ejpam-450	16	15	766	766	NUM
ejpam-450	16	16	based	base	VERB
ejpam-450	16	17	on	on	ADP
ejpam-450	16	18	cellular	cellular	ADJ
ejpam-450	16	19	automata	automata	NOUN
ejpam-450	16	20	to	to	PART
ejpam-450	16	21	simulate	simulate	VERB
ejpam-450	16	22	the	the	DET
ejpam-450	16	23	spread	spread	NOUN
ejpam-450	16	24	of	of	ADP
ejpam-450	16	25	forest	forest	NOUN
ejpam-450	16	26	fires	fire	NOUN
ejpam-450	16	27	or	or	CCONJ
ejpam-450	16	28	epidemics	epidemic	NOUN
ejpam-450	16	29	,	,	PUNCT
ejpam-450	16	30	the	the	DET
ejpam-450	16	31	behavior	behavior	NOUN
ejpam-450	16	32	of	of	ADP
ejpam-450	16	33	traffic	traffic	NOUN
ejpam-450	16	34	flow	flow	NOUN
ejpam-450	16	35	,	,	PUNCT
ejpam-450	16	36	growth	growth	NOUN
ejpam-450	16	37	phenomena	phenomenon	NOUN
ejpam-450	16	38	,	,	PUNCT
ejpam-450	16	39	reaction	reaction	NOUN
ejpam-450	16	40	-	-	PUNCT
ejpam-450	16	41	diffusion	diffusion	NOUN
ejpam-450	16	42	processes	process	NOUN
ejpam-450	16	43	,	,	PUNCT
ejpam-450	16	44	image	image	NOUN
ejpam-450	16	45	processing	processing	NOUN
ejpam-450	16	46	algorithms	algorithm	NOUN
ejpam-450	16	47	,	,	PUNCT
ejpam-450	16	48	etc	etc	X
ejpam-450	16	49	.	.	X
ejpam-450	16	50	specially	specially	ADV
ejpam-450	16	51	interesting	interesting	ADJ
ejpam-450	16	52	cellular	cellular	ADJ
ejpam-450	16	53	automata	automata	NOUN
ejpam-450	16	54	applications	application	NOUN
ejpam-450	16	55	are	be	AUX
ejpam-450	16	56	those	those	PRON
ejpam-450	16	57	related	relate	VERB
ejpam-450	16	58	to	to	ADP
ejpam-450	16	59	cryptography	cryptography	NOUN
ejpam-450	16	60	:	:	PUNCT
ejpam-450	16	61	secret	secret	ADJ
ejpam-450	16	62	key	key	ADJ
ejpam-450	16	63	and	and	CCONJ
ejpam-450	16	64	public	public	ADJ
ejpam-450	16	65	key	key	ADJ
ejpam-450	16	66	cryptosystems	cryptosystem	NOUN
ejpam-450	16	67	have	have	AUX
ejpam-450	16	68	been	be	AUX
ejpam-450	16	69	proposed	propose	VERB
ejpam-450	16	70	[	[	AUX
ejpam-450	16	71	see	see	VERB
ejpam-450	16	72	,	,	PUNCT
ejpam-450	16	73	for	for	ADP
ejpam-450	16	74	example	example	NOUN
ejpam-450	16	75	,	,	PUNCT
ejpam-450	16	76	1	1	NUM
ejpam-450	16	77	,	,	PUNCT
ejpam-450	16	78	3	3	NUM
ejpam-450	16	79	,	,	PUNCT
ejpam-450	16	80	10	10	NUM
ejpam-450	16	81	]	]	PUNCT
ejpam-450	16	82	,	,	PUNCT
ejpam-450	16	83	and	and	CCONJ
ejpam-450	16	84	also	also	ADV
ejpam-450	16	85	hash	hash	NOUN
ejpam-450	16	86	functions	function	NOUN
ejpam-450	16	87	and	and	CCONJ
ejpam-450	16	88	secret	secret	ADJ
ejpam-450	16	89	sharing	sharing	NOUN
ejpam-450	16	90	schemes	scheme	NOUN
ejpam-450	16	91	have	have	AUX
ejpam-450	16	92	been	be	AUX
ejpam-450	16	93	designed	design	VERB
ejpam-450	17	1	[	[	PUNCT
ejpam-450	17	2	see	see	VERB
ejpam-450	17	3	,	,	PUNCT
ejpam-450	17	4	for	for	ADP
ejpam-450	17	5	example	example	NOUN
ejpam-450	17	6	,	,	PUNCT
ejpam-450	17	7	7	7	NUM
ejpam-450	17	8	,	,	PUNCT
ejpam-450	17	9	8	8	NUM
ejpam-450	17	10	]	]	PUNCT
ejpam-450	17	11	.	.	PUNCT
ejpam-450	18	1	most	most	ADJ
ejpam-450	18	2	of	of	ADP
ejpam-450	18	3	cryptographic	cryptographic	ADJ
ejpam-450	18	4	protocols	protocol	NOUN
ejpam-450	18	5	use	use	VERB
ejpam-450	18	6	one	one	NUM
ejpam-450	18	7	-	-	PUNCT
ejpam-450	18	8	dimensional	dimensional	ADJ
ejpam-450	18	9	cellular	cellular	ADJ
ejpam-450	18	10	automata	automata	NOUN
ejpam-450	18	11	,	,	PUNCT
ejpam-450	18	12	i.e.	i.e.	X
ejpam-450	18	13	the	the	DET
ejpam-450	18	14	cells	cell	NOUN
ejpam-450	18	15	are	be	AUX
ejpam-450	18	16	arranged	arrange	VERB
ejpam-450	18	17	in	in	ADP
ejpam-450	18	18	a	a	DET
ejpam-450	18	19	line	line	NOUN
ejpam-450	18	20	as	as	ADP
ejpam-450	18	21	a	a	DET
ejpam-450	18	22	string	string	NOUN
ejpam-450	18	23	of	of	ADP
ejpam-450	18	24	binary	binary	ADJ
ejpam-450	18	25	values	value	NOUN
ejpam-450	18	26	.	.	PUNCT
ejpam-450	19	1	this	this	PRON
ejpam-450	19	2	is	be	AUX
ejpam-450	19	3	due	due	ADJ
ejpam-450	19	4	to	to	ADP
ejpam-450	19	5	the	the	DET
ejpam-450	19	6	data	datum	NOUN
ejpam-450	19	7	managed	manage	VERB
ejpam-450	19	8	through	through	ADP
ejpam-450	19	9	computer	computer	NOUN
ejpam-450	19	10	devices	device	NOUN
ejpam-450	19	11	(	(	PUNCT
ejpam-450	19	12	text	text	NOUN
ejpam-450	19	13	files	file	NOUN
ejpam-450	19	14	,	,	PUNCT
ejpam-450	19	15	voice	voice	NOUN
ejpam-450	19	16	files	file	NOUN
ejpam-450	19	17	,	,	PUNCT
ejpam-450	19	18	image	image	NOUN
ejpam-450	19	19	files	file	NOUN
ejpam-450	19	20	,	,	PUNCT
ejpam-450	19	21	etc	etc	X
ejpam-450	19	22	.	.	X
ejpam-450	19	23	)	)	PUNCT
ejpam-450	19	24	is	be	AUX
ejpam-450	19	25	represented	represent	VERB
ejpam-450	19	26	by	by	ADP
ejpam-450	19	27	sequences	sequence	NOUN
ejpam-450	19	28	of	of	ADP
ejpam-450	19	29	bits	bit	NOUN
ejpam-450	19	30	.	.	PUNCT
ejpam-450	20	1	however	however	ADV
ejpam-450	20	2	,	,	PUNCT
ejpam-450	20	3	it	it	PRON
ejpam-450	20	4	is	be	AUX
ejpam-450	20	5	sometimes	sometimes	ADV
ejpam-450	20	6	necessary	necessary	ADJ
ejpam-450	20	7	to	to	PART
ejpam-450	20	8	handle	handle	VERB
ejpam-450	20	9	data	datum	NOUN
ejpam-450	20	10	which	which	PRON
ejpam-450	20	11	is	be	AUX
ejpam-450	20	12	given	give	VERB
ejpam-450	20	13	in	in	ADP
ejpam-450	20	14	a	a	DET
ejpam-450	20	15	two	two	NUM
ejpam-450	20	16	-	-	PUNCT
ejpam-450	20	17	dimensional	dimensional	ADJ
ejpam-450	20	18	format	format	NOUN
ejpam-450	20	19	(	(	PUNCT
ejpam-450	20	20	for	for	ADP
ejpam-450	20	21	example	example	NOUN
ejpam-450	20	22	two	two	NUM
ejpam-450	20	23	-	-	PUNCT
ejpam-450	20	24	dimensional	dimensional	ADJ
ejpam-450	20	25	codes	code	NOUN
ejpam-450	20	26	:	:	PUNCT
ejpam-450	20	27	qr	qr	PROPN
ejpam-450	20	28	code	code	PROPN
ejpam-450	20	29	,	,	PUNCT
ejpam-450	20	30	pdf	pdf	NOUN
ejpam-450	20	31	417	417	NUM
ejpam-450	20	32	,	,	PUNCT
ejpam-450	20	33	datamatrix	datamatrix	NOUN
ejpam-450	20	34	codes	code	NOUN
ejpam-450	20	35	,	,	PUNCT
ejpam-450	20	36	maxicode	maxicode	NOUN
ejpam-450	20	37	,	,	PUNCT
ejpam-450	20	38	etc	etc	X
ejpam-450	20	39	.	.	X
ejpam-450	20	40	)	)	PUNCT
ejpam-450	20	41	.	.	PUNCT
ejpam-450	21	1	in	in	ADP
ejpam-450	21	2	this	this	DET
ejpam-450	21	3	regard	regard	NOUN
ejpam-450	21	4	,	,	PUNCT
ejpam-450	21	5	two	two	NUM
ejpam-450	21	6	-	-	PUNCT
ejpam-450	21	7	dimensional	dimensional	ADJ
ejpam-450	21	8	cellular	cellular	ADJ
ejpam-450	21	9	automata	automata	NOUN
ejpam-450	21	10	(	(	PUNCT
ejpam-450	21	11	the	the	DET
ejpam-450	21	12	cells	cell	NOUN
ejpam-450	21	13	are	be	AUX
ejpam-450	21	14	arranged	arrange	VERB
ejpam-450	21	15	in	in	ADP
ejpam-450	21	16	the	the	DET
ejpam-450	21	17	form	form	NOUN
ejpam-450	21	18	of	of	ADP
ejpam-450	21	19	an	an	DET
ejpam-450	21	20	homogeneous	homogeneous	ADJ
ejpam-450	21	21	two	two	NUM
ejpam-450	21	22	-	-	PUNCT
ejpam-450	21	23	dimensional	dimensional	ADJ
ejpam-450	21	24	lattice	lattice	NOUN
ejpam-450	21	25	)	)	PUNCT
ejpam-450	21	26	must	must	AUX
ejpam-450	21	27	be	be	AUX
ejpam-450	21	28	used	use	VERB
ejpam-450	21	29	.	.	PUNCT
ejpam-450	22	1	unfortunately	unfortunately	ADV
ejpam-450	22	2	,	,	PUNCT
ejpam-450	22	3	although	although	SCONJ
ejpam-450	22	4	some	some	DET
ejpam-450	22	5	twodimensional	twodimensional	ADJ
ejpam-450	22	6	cellular	cellular	ADJ
ejpam-450	22	7	automata	automata	NOUN
ejpam-450	22	8	-	-	PUNCT
ejpam-450	22	9	based	base	VERB
ejpam-450	22	10	cryptographic	cryptographic	ADJ
ejpam-450	22	11	protocols	protocol	NOUN
ejpam-450	22	12	for	for	ADP
ejpam-450	22	13	digital	digital	ADJ
ejpam-450	22	14	images	image	NOUN
ejpam-450	22	15	have	have	AUX
ejpam-450	22	16	been	be	AUX
ejpam-450	22	17	proposed	propose	VERB
ejpam-450	22	18	,	,	PUNCT
ejpam-450	22	19	to	to	PART
ejpam-450	22	20	date	date	NOUN
ejpam-450	22	21	any	any	DET
ejpam-450	22	22	study	study	NOUN
ejpam-450	22	23	of	of	ADP
ejpam-450	22	24	their	their	PRON
ejpam-450	22	25	cryptographic	cryptographic	ADJ
ejpam-450	22	26	properties	property	NOUN
ejpam-450	22	27	has	have	AUX
ejpam-450	22	28	been	be	AUX
ejpam-450	22	29	done	do	VERB
ejpam-450	22	30	.	.	PUNCT
ejpam-450	23	1	in	in	ADP
ejpam-450	23	2	the	the	DET
ejpam-450	23	3	case	case	NOUN
ejpam-450	23	4	of	of	ADP
ejpam-450	23	5	elementary	elementary	ADJ
ejpam-450	23	6	cellular	cellular	ADJ
ejpam-450	23	7	automata	automata	NOUN
ejpam-450	23	8	(	(	PUNCT
ejpam-450	23	9	whose	whose	DET
ejpam-450	23	10	local	local	ADJ
ejpam-450	23	11	transition	transition	NOUN
ejpam-450	23	12	functions	function	NOUN
ejpam-450	23	13	are	be	AUX
ejpam-450	23	14	defined	define	VERB
ejpam-450	23	15	by	by	ADP
ejpam-450	23	16	means	mean	NOUN
ejpam-450	23	17	of	of	ADP
ejpam-450	23	18	3variable	3variable	ADJ
ejpam-450	23	19	boolean	boolean	ADJ
ejpam-450	23	20	functions	function	NOUN
ejpam-450	23	21	)	)	PUNCT
ejpam-450	23	22	,	,	PUNCT
ejpam-450	23	23	the	the	DET
ejpam-450	23	24	analysis	analysis	NOUN
ejpam-450	23	25	has	have	AUX
ejpam-450	23	26	been	be	AUX
ejpam-450	23	27	done	do	VERB
ejpam-450	23	28	and	and	CCONJ
ejpam-450	23	29	,	,	PUNCT
ejpam-450	23	30	unfortunately	unfortunately	ADV
ejpam-450	23	31	,	,	PUNCT
ejpam-450	23	32	there	there	PRON
ejpam-450	23	33	is	be	VERB
ejpam-450	23	34	not	not	PART
ejpam-450	23	35	any	any	DET
ejpam-450	23	36	elementary	elementary	ADJ
ejpam-450	23	37	cellular	cellular	ADJ
ejpam-450	23	38	automata	automata	NOUN
ejpam-450	23	39	with	with	ADP
ejpam-450	23	40	good	good	ADJ
ejpam-450	23	41	cryptographic	cryptographic	ADJ
ejpam-450	23	42	properties	property	NOUN
ejpam-450	24	1	[	[	X
ejpam-450	24	2	see	see	VERB
ejpam-450	24	3	6	6	NUM
ejpam-450	24	4	]	]	PUNCT
ejpam-450	24	5	.	.	PUNCT
ejpam-450	25	1	as	as	ADP
ejpam-450	25	2	a	a	DET
ejpam-450	25	3	consequence	consequence	NOUN
ejpam-450	25	4	,	,	PUNCT
ejpam-450	25	5	this	this	DET
ejpam-450	25	6	work	work	NOUN
ejpam-450	25	7	aims	aim	VERB
ejpam-450	25	8	to	to	PART
ejpam-450	25	9	study	study	VERB
ejpam-450	25	10	and	and	CCONJ
ejpam-450	25	11	classify	classify	VERB
ejpam-450	25	12	the	the	DET
ejpam-450	25	13	two	two	NUM
ejpam-450	25	14	-	-	PUNCT
ejpam-450	25	15	dimensional	dimensional	ADJ
ejpam-450	25	16	cellular	cellular	ADJ
ejpam-450	25	17	automata	automata	NOUN
ejpam-450	25	18	with	with	ADP
ejpam-450	25	19	von	von	PROPN
ejpam-450	25	20	neumann	neumann	PROPN
ejpam-450	25	21	neighborhoods	neighborhood	NOUN
ejpam-450	25	22	according	accord	VERB
ejpam-450	25	23	to	to	ADP
ejpam-450	25	24	its	its	PRON
ejpam-450	25	25	cryptographic	cryptographic	ADJ
ejpam-450	25	26	use	use	NOUN
ejpam-450	25	27	.	.	PUNCT
ejpam-450	26	1	specifically	specifically	ADV
ejpam-450	26	2	,	,	PUNCT
ejpam-450	26	3	as	as	SCONJ
ejpam-450	26	4	local	local	ADJ
ejpam-450	26	5	transition	transition	NOUN
ejpam-450	26	6	functions	function	NOUN
ejpam-450	26	7	of	of	ADP
ejpam-450	26	8	two	two	NUM
ejpam-450	26	9	-	-	PUNCT
ejpam-450	26	10	dimensional	dimensional	ADJ
ejpam-450	26	11	cellular	cellular	ADJ
ejpam-450	26	12	automata	automata	NOUN
ejpam-450	26	13	are	be	AUX
ejpam-450	26	14	boolean	boolean	ADJ
ejpam-450	26	15	functions	function	NOUN
ejpam-450	26	16	,	,	PUNCT
ejpam-450	26	17	the	the	DET
ejpam-450	26	18	most	most	ADV
ejpam-450	26	19	important	important	ADJ
ejpam-450	26	20	cryptographic	cryptographic	ADJ
ejpam-450	26	21	properties	property	NOUN
ejpam-450	26	22	of	of	ADP
ejpam-450	26	23	such	such	ADJ
ejpam-450	26	24	boolean	boolean	ADJ
ejpam-450	26	25	functions	function	NOUN
ejpam-450	26	26	will	will	AUX
ejpam-450	26	27	be	be	AUX
ejpam-450	26	28	explored	explore	VERB
ejpam-450	26	29	.	.	PUNCT
ejpam-450	27	1	the	the	DET
ejpam-450	27	2	rest	rest	NOUN
ejpam-450	27	3	of	of	ADP
ejpam-450	27	4	the	the	DET
ejpam-450	27	5	paper	paper	NOUN
ejpam-450	27	6	is	be	AUX
ejpam-450	27	7	organized	organize	VERB
ejpam-450	27	8	as	as	SCONJ
ejpam-450	27	9	follows	follow	VERB
ejpam-450	27	10	:	:	PUNCT
ejpam-450	27	11	in	in	ADP
ejpam-450	27	12	section	section	NOUN
ejpam-450	27	13	2	2	NUM
ejpam-450	27	14	the	the	DET
ejpam-450	27	15	basic	basic	ADJ
ejpam-450	27	16	theory	theory	NOUN
ejpam-450	27	17	of	of	ADP
ejpam-450	27	18	boolean	boolean	ADJ
ejpam-450	27	19	functions	function	NOUN
ejpam-450	27	20	is	be	AUX
ejpam-450	27	21	introduced	introduce	VERB
ejpam-450	27	22	;	;	PUNCT
ejpam-450	27	23	the	the	DET
ejpam-450	27	24	mathematical	mathematical	ADJ
ejpam-450	27	25	background	background	NOUN
ejpam-450	27	26	on	on	ADP
ejpam-450	27	27	two	two	NUM
ejpam-450	27	28	-	-	PUNCT
ejpam-450	27	29	dimensional	dimensional	ADJ
ejpam-450	27	30	cellular	cellular	ADJ
ejpam-450	27	31	automata	automata	NOUN
ejpam-450	27	32	is	be	AUX
ejpam-450	27	33	shown	show	VERB
ejpam-450	27	34	in	in	ADP
ejpam-450	27	35	section	section	NOUN
ejpam-450	27	36	3	3	NUM
ejpam-450	27	37	;	;	PUNCT
ejpam-450	27	38	the	the	DET
ejpam-450	27	39	main	main	ADJ
ejpam-450	27	40	cryptographic	cryptographic	ADJ
ejpam-450	27	41	properties	property	NOUN
ejpam-450	27	42	that	that	PRON
ejpam-450	27	43	must	must	AUX
ejpam-450	27	44	satisfy	satisfy	VERB
ejpam-450	27	45	a	a	DET
ejpam-450	27	46	cryptographic	cryptographic	ADJ
ejpam-450	27	47	boolean	boolean	ADJ
ejpam-450	27	48	function	function	NOUN
ejpam-450	27	49	are	be	AUX
ejpam-450	27	50	shown	show	VERB
ejpam-450	27	51	in	in	ADP
ejpam-450	27	52	section	section	NOUN
ejpam-450	27	53	4	4	NUM
ejpam-450	27	54	;	;	PUNCT
ejpam-450	27	55	in	in	ADP
ejpam-450	27	56	section	section	NOUN
ejpam-450	27	57	5	5	NUM
ejpam-450	27	58	we	we	PRON
ejpam-450	27	59	test	test	VERB
ejpam-450	27	60	these	these	DET
ejpam-450	27	61	properties	property	NOUN
ejpam-450	27	62	for	for	ADP
ejpam-450	27	63	the	the	DET
ejpam-450	27	64	local	local	ADJ
ejpam-450	27	65	transition	transition	NOUN
ejpam-450	27	66	functions	function	NOUN
ejpam-450	27	67	of	of	ADP
ejpam-450	27	68	two	two	NUM
ejpam-450	27	69	-	-	PUNCT
ejpam-450	27	70	dimensional	dimensional	ADJ
ejpam-450	27	71	cellular	cellular	ADJ
ejpam-450	27	72	automata	automata	NOUN
ejpam-450	27	73	;	;	PUNCT
ejpam-450	27	74	finally	finally	ADV
ejpam-450	27	75	,	,	PUNCT
ejpam-450	27	76	the	the	DET
ejpam-450	27	77	discussion	discussion	NOUN
ejpam-450	27	78	is	be	AUX
ejpam-450	27	79	presented	present	VERB
ejpam-450	27	80	in	in	ADP
ejpam-450	27	81	section	section	NOUN
ejpam-450	27	82	6	6	NUM
ejpam-450	27	83	.	.	NOUN
ejpam-450	28	1	2	2	NUM
ejpam-450	28	2	.	.	PUNCT
ejpam-450	28	3	boolean	boolean	ADJ
ejpam-450	28	4	functions	function	NOUN
ejpam-450	28	5	let	let	VERB
ejpam-450	28	6	fn	fn	NOUN
ejpam-450	28	7	2	2	NUM
ejpam-450	28	8	be	be	AUX
ejpam-450	28	9	the	the	DET
ejpam-450	28	10	n	n	ADV
ejpam-450	28	11	-	-	PUNCT
ejpam-450	28	12	dimensional	dimensional	ADJ
ejpam-450	28	13	vector	vector	NOUN
ejpam-450	28	14	space	space	NOUN
ejpam-450	28	15	over	over	ADP
ejpam-450	28	16	the	the	DET
ejpam-450	28	17	galois	galois	PROPN
ejpam-450	28	18	field	field	NOUN
ejpam-450	28	19	f2	f2	ADV
ejpam-450	28	20	=	=	SYM
ejpam-450	28	21	{	{	PUNCT
ejpam-450	28	22	0,1	0,1	NUM
ejpam-450	28	23	}	}	PUNCT
ejpam-450	28	24	.	.	PUNCT
ejpam-450	29	1	the	the	DET
ejpam-450	29	2	functions	function	NOUN
ejpam-450	29	3	of	of	ADP
ejpam-450	29	4	the	the	DET
ejpam-450	29	5	form	form	NOUN
ejpam-450	29	6	f	f	NOUN
ejpam-450	29	7	:	:	PUNCT
ejpam-450	29	8	fn	fn	NOUN
ejpam-450	29	9	2	2	NUM
ejpam-450	29	10	→	→	SYM
ejpam-450	29	11	f2	f2	NOUN
ejpam-450	29	12	are	be	AUX
ejpam-450	29	13	called	call	VERB
ejpam-450	29	14	boolean	boolean	ADJ
ejpam-450	29	15	functions	function	NOUN
ejpam-450	29	16	,	,	PUNCT
ejpam-450	29	17	and	and	CCONJ
ejpam-450	29	18	the	the	DET
ejpam-450	29	19	set	set	NOUN
ejpam-450	29	20	of	of	ADP
ejpam-450	29	21	all	all	DET
ejpam-450	29	22	n	n	CCONJ
ejpam-450	29	23	-	-	PUNCT
ejpam-450	29	24	variable	variable	ADJ
ejpam-450	29	25	boolean	boolean	ADJ
ejpam-450	29	26	functions	function	NOUN
ejpam-450	29	27	is	be	AUX
ejpam-450	29	28	denoted	denote	VERB
ejpam-450	29	29	by	by	ADP
ejpam-450	29	30	bf	bf	NOUN
ejpam-450	29	31	n	n	ADV
ejpam-450	29	32	being	be	AUX
ejpam-450	29	33	its	its	PRON
ejpam-450	29	34	cardinal	cardinal	ADJ
ejpam-450	29	35	�	�	PROPN
ejpam-450	29	36	�	�	PROPN
ejpam-450	29	37	bf	bf	PROPN
ejpam-450	29	38	n	n	PRON
ejpam-450	29	39	�	�	PROPN
ejpam-450	29	40	�	�	PROPN
ejpam-450	29	41	=	=	SYM
ejpam-450	29	42	22n	22n	X
ejpam-450	29	43	.	.	PUNCT
ejpam-450	30	1	the	the	DET
ejpam-450	30	2	hamming	hamming	NOUN
ejpam-450	30	3	weight	weight	NOUN
ejpam-450	30	4	of	of	ADP
ejpam-450	30	5	a	a	DET
ejpam-450	30	6	vector	vector	NOUN
ejpam-450	30	7	x	x	X
ejpam-450	30	8	=	=	PUNCT
ejpam-450	30	9	�	�	PROPN
ejpam-450	30	10	x1	x1	PROPN
ejpam-450	30	11	,	,	PUNCT
ejpam-450	30	12	x2	x2	PROPN
ejpam-450	30	13	,	,	PUNCT
ejpam-450	30	14	.	.	PUNCT
ejpam-450	30	15	.	.	PUNCT
ejpam-450	30	16	.	.	PUNCT
ejpam-450	31	1	,	,	PUNCT
ejpam-450	31	2	xn	xn	PROPN
ejpam-450	31	3	�	�	PROPN
ejpam-450	31	4	∈	∈	PROPN
ejpam-450	31	5	fn	fn	NOUN
ejpam-450	31	6	2	2	NUM
ejpam-450	31	7	is	be	AUX
ejpam-450	31	8	the	the	DET
ejpam-450	31	9	number	number	NOUN
ejpam-450	31	10	of	of	ADP
ejpam-450	31	11	its	its	PRON
ejpam-450	31	12	non	non	ADJ
ejpam-450	31	13	-	-	ADJ
ejpam-450	31	14	zero	zero	ADJ
ejpam-450	31	15	coordinates	coordinate	NOUN
ejpam-450	31	16	whereas	whereas	SCONJ
ejpam-450	31	17	the	the	DET
ejpam-450	31	18	hamming	hamming	NOUN
ejpam-450	31	19	weight	weight	NOUN
ejpam-450	31	20	of	of	ADP
ejpam-450	31	21	an	an	DET
ejpam-450	31	22	n	n	CCONJ
ejpam-450	31	23	-	-	PUNCT
ejpam-450	31	24	variable	variable	ADJ
ejpam-450	31	25	boolean	boolean	ADJ
ejpam-450	31	26	function	function	NOUN
ejpam-450	31	27	f	f	PROPN
ejpam-450	31	28	is	be	AUX
ejpam-450	31	29	defined	define	VERB
ejpam-450	31	30	as	as	ADP
ejpam-450	31	31	wh	wh	PROPN
ejpam-450	31	32	�	�	PROPN
ejpam-450	31	33	f	f	PROPN
ejpam-450	31	34	�	�	PROPN
ejpam-450	31	35	=	=	SYM
ejpam-450	31	36	�	�	PROPN
ejpam-450	31	37	�	�	PROPN
ejpam-450	31	38	�	�	PROPN
ejpam-450	31	39	¦	¦	PROPN
ejpam-450	31	40	x	x	PUNCT
ejpam-450	31	41	∈	∈	PROPN
ejpam-450	31	42	fn	fn	NOUN
ejpam-450	31	43	2	2	NUM
ejpam-450	31	44	such	such	ADJ
ejpam-450	31	45	that	that	SCONJ
ejpam-450	31	46	f	f	PROPN
ejpam-450	31	47	(	(	PUNCT
ejpam-450	31	48	x	x	X
ejpam-450	31	49	)	)	PUNCT
ejpam-450	31	50	6=	6=	ADP
ejpam-450	31	51	0	0	SYM
ejpam-450	32	1	©	©	PROPN
ejpam-450	32	2	�	�	PROPN
ejpam-450	32	3	�	�	PROPN
ejpam-450	32	4	�	�	PROPN
ejpam-450	32	5	,	,	PUNCT
ejpam-450	32	6	(	(	PUNCT
ejpam-450	32	7	1	1	X
ejpam-450	32	8	)	)	PUNCT
ejpam-450	32	9	that	that	PRON
ejpam-450	32	10	is	be	AUX
ejpam-450	32	11	,	,	PUNCT
ejpam-450	32	12	it	it	PRON
ejpam-450	32	13	is	be	AUX
ejpam-450	32	14	the	the	DET
ejpam-450	32	15	cardinal	cardinal	NOUN
ejpam-450	32	16	of	of	ADP
ejpam-450	32	17	its	its	PRON
ejpam-450	32	18	support	support	NOUN
ejpam-450	32	19	.	.	PUNCT
ejpam-450	33	1	furthermore	furthermore	ADV
ejpam-450	33	2	,	,	PUNCT
ejpam-450	33	3	the	the	DET
ejpam-450	33	4	hamming	hamming	NOUN
ejpam-450	33	5	distance	distance	NOUN
ejpam-450	33	6	between	between	ADP
ejpam-450	33	7	two	two	NUM
ejpam-450	33	8	boolean	boolean	ADJ
ejpam-450	33	9	functions	function	NOUN
ejpam-450	33	10	f	f	NOUN
ejpam-450	33	11	,	,	PUNCT
ejpam-450	33	12	g	g	PROPN
ejpam-450	33	13	∈bf	∈bf	X
ejpam-450	33	14	n	n	PRON
ejpam-450	33	15	is	be	AUX
ejpam-450	33	16	dh	dh	PROPN
ejpam-450	33	17	�	�	PROPN
ejpam-450	33	18	f	f	PROPN
ejpam-450	33	19	,	,	PUNCT
ejpam-450	33	20	g	g	PROPN
ejpam-450	33	21	�	�	PROPN
ejpam-450	33	22	=	=	SYM
ejpam-450	33	23	wh	wh	VERB
ejpam-450	33	24	�	�	PROPN
ejpam-450	33	25	f	f	PROPN
ejpam-450	33	26	⊕	⊕	PROPN
ejpam-450	33	27	g	g	PROPN
ejpam-450	33	28	�	�	PROPN
ejpam-450	33	29	,	,	PUNCT
ejpam-450	33	30	where	where	SCONJ
ejpam-450	33	31	�	�	PROPN
ejpam-450	33	32	f	f	PROPN
ejpam-450	33	33	⊕	⊕	PROPN
ejpam-450	33	34	g	g	PROPN
ejpam-450	33	35	�	�	PROPN
ejpam-450	33	36	(	(	PUNCT
ejpam-450	33	37	x	x	NOUN
ejpam-450	33	38	)	)	PUNCT
ejpam-450	34	1	=	=	SYM
ejpam-450	34	2	f	f	PROPN
ejpam-450	34	3	(	(	PUNCT
ejpam-450	34	4	x)⊕	x)⊕	PROPN
ejpam-450	34	5	g	g	PROPN
ejpam-450	34	6	(	(	PUNCT
ejpam-450	34	7	x	x	NOUN
ejpam-450	34	8	)	)	PUNCT
ejpam-450	34	9	.	.	PUNCT
ejpam-450	35	1	the	the	DET
ejpam-450	35	2	usual	usual	ADJ
ejpam-450	35	3	representation	representation	NOUN
ejpam-450	35	4	of	of	ADP
ejpam-450	35	5	a	a	DET
ejpam-450	35	6	boolean	boolean	ADJ
ejpam-450	35	7	function	function	NOUN
ejpam-450	35	8	f	f	NOUN
ejpam-450	35	9	is	be	AUX
ejpam-450	35	10	by	by	ADP
ejpam-450	35	11	means	mean	NOUN
ejpam-450	35	12	of	of	ADP
ejpam-450	35	13	its	its	PRON
ejpam-450	35	14	algebraic	algebraic	ADJ
ejpam-450	35	15	normal	normal	ADJ
ejpam-450	35	16	form	form	NOUN
ejpam-450	35	17	(	(	PUNCT
ejpam-450	35	18	anf	anf	VERB
ejpam-450	35	19	for	for	ADP
ejpam-450	35	20	short	short	ADJ
ejpam-450	35	21	)	)	PUNCT
ejpam-450	35	22	,	,	PUNCT
ejpam-450	35	23	which	which	PRON
ejpam-450	35	24	is	be	AUX
ejpam-450	35	25	the	the	DET
ejpam-450	35	26	n	n	CCONJ
ejpam-450	35	27	-	-	PUNCT
ejpam-450	35	28	variable	variable	ADJ
ejpam-450	35	29	polynomial	polynomial	ADJ
ejpam-450	35	30	representation	representation	NOUN
ejpam-450	35	31	over	over	ADP
ejpam-450	35	32	f2	f2	PROPN
ejpam-450	35	33	,	,	PUNCT
ejpam-450	35	34	that	that	ADV
ejpam-450	35	35	is	be	AUX
ejpam-450	35	36	:	:	PUNCT
ejpam-450	35	37	j.	j.	PROPN
ejpam-450	35	38	escuadra	escuadra	PROPN
ejpam-450	35	39	,	,	PUNCT
ejpam-450	35	40	a.	a.	PROPN
ejpam-450	35	41	martín	martín	PROPN
ejpam-450	35	42	del	del	PROPN
ejpam-450	35	43	rey	rey	PROPN
ejpam-450	35	44	,	,	PUNCT
ejpam-450	35	45	et	et	NOUN
ejpam-450	35	46	.	.	PUNCT
ejpam-450	36	1	al	al	PROPN
ejpam-450	36	2	.	.	PUNCT
ejpam-450	36	3	/	/	SYM
ejpam-450	36	4	eur	eur	PROPN
ejpam-450	36	5	.	.	PUNCT
ejpam-450	37	1	j.	j.	PROPN
ejpam-450	37	2	pure	pure	PROPN
ejpam-450	37	3	appl	appl	PROPN
ejpam-450	37	4	.	.	PROPN
ejpam-450	37	5	math	math	PROPN
ejpam-450	37	6	,	,	PUNCT
ejpam-450	37	7	3	3	NUM
ejpam-450	37	8	(	(	PUNCT
ejpam-450	37	9	2010	2010	NUM
ejpam-450	37	10	)	)	PUNCT
ejpam-450	37	11	,	,	PUNCT
ejpam-450	37	12	765	765	NUM
ejpam-450	37	13	-	-	SYM
ejpam-450	37	14	778	778	NUM
ejpam-450	37	15	767	767	NUM
ejpam-450	37	16	f	f	PROPN
ejpam-450	37	17	�	�	PROPN
ejpam-450	37	18	x1	x1	PROPN
ejpam-450	37	19	,	,	PUNCT
ejpam-450	37	20	.	.	PUNCT
ejpam-450	37	21	.	.	PUNCT
ejpam-450	38	1	.	.	PUNCT
ejpam-450	39	1	,	,	PUNCT
ejpam-450	39	2	xn	xn	PROPN
ejpam-450	39	3	�	�	PROPN
ejpam-450	39	4	=	=	SYM
ejpam-450	39	5	⊕	⊕	PROPN
ejpam-450	39	6	1≤k≤n	1≤k≤n	NUM
ejpam-450	40	1	1≤i1,i2,	1≤i1,i2,	NUM
ejpam-450	40	2	...	...	PUNCT
ejpam-450	40	3	,ik≤n	,ik≤n	PUNCT
ejpam-450	40	4	ai1	ai1	PROPN
ejpam-450	40	5	i2	i2	PROPN
ejpam-450	40	6	...	...	PUNCT
ejpam-450	40	7	ik	ik	PROPN
ejpam-450	40	8	·	·	PUNCT
ejpam-450	40	9	x	x	SYM
ejpam-450	40	10	i1	i1	PROPN
ejpam-450	40	11	·	·	PUNCT
ejpam-450	40	12	x	x	SYM
ejpam-450	40	13	i2	i2	PROPN
ejpam-450	40	14	·	·	PUNCT
ejpam-450	40	15	.	.	PUNCT
ejpam-450	40	16	.	.	PUNCT
ejpam-450	40	17	.	.	PUNCT
ejpam-450	41	1	·	·	PUNCT
ejpam-450	41	2	x	x	SYM
ejpam-450	41	3	ik	ik	PROPN
ejpam-450	41	4	,	,	PUNCT
ejpam-450	41	5	(	(	PUNCT
ejpam-450	41	6	2	2	X
ejpam-450	41	7	)	)	PUNCT
ejpam-450	41	8	where	where	SCONJ
ejpam-450	41	9	ai1	ai1	PROPN
ejpam-450	41	10	...	...	PUNCT
ejpam-450	41	11	ik	ik	PROPN
ejpam-450	41	12	∈	∈	PROPN
ejpam-450	41	13	f2	f2	PROPN
ejpam-450	41	14	.	.	PUNCT
ejpam-450	42	1	the	the	DET
ejpam-450	42	2	degree	degree	NOUN
ejpam-450	42	3	of	of	ADP
ejpam-450	42	4	the	the	DET
ejpam-450	42	5	anf	anf	NOUN
ejpam-450	42	6	is	be	AUX
ejpam-450	42	7	the	the	DET
ejpam-450	42	8	algebraic	algebraic	ADJ
ejpam-450	42	9	degree	degree	NOUN
ejpam-450	42	10	of	of	ADP
ejpam-450	42	11	the	the	DET
ejpam-450	42	12	function	function	NOUN
ejpam-450	42	13	.	.	PUNCT
ejpam-450	43	1	the	the	DET
ejpam-450	43	2	simplest	simple	ADJ
ejpam-450	43	3	boolean	boolean	ADJ
ejpam-450	43	4	functions	function	NOUN
ejpam-450	43	5	considering	consider	VERB
ejpam-450	43	6	their	their	PRON
ejpam-450	43	7	anf	anf	NOUN
ejpam-450	43	8	are	be	AUX
ejpam-450	43	9	the	the	DET
ejpam-450	43	10	affine	affine	NOUN
ejpam-450	43	11	functions	function	NOUN
ejpam-450	43	12	:	:	PUNCT
ejpam-450	43	13	f	f	PROPN
ejpam-450	43	14	�	�	PROPN
ejpam-450	43	15	x1	x1	PROPN
ejpam-450	43	16	,	,	PUNCT
ejpam-450	43	17	.	.	PUNCT
ejpam-450	43	18	.	.	PUNCT
ejpam-450	44	1	.	.	PUNCT
ejpam-450	45	1	,	,	PUNCT
ejpam-450	45	2	xn	xn	PROPN
ejpam-450	45	3	�	�	PROPN
ejpam-450	45	4	=	=	NOUN
ejpam-450	45	5	a1	a1	PROPN
ejpam-450	45	6	x1	x1	PROPN
ejpam-450	45	7	⊕	⊕	PROPN
ejpam-450	45	8	a2	a2	PROPN
ejpam-450	45	9	x2	x2	PROPN
ejpam-450	45	10	⊕	⊕	PROPN
ejpam-450	45	11	.	.	PUNCT
ejpam-450	45	12	.	.	PUNCT
ejpam-450	46	1	.⊕	.⊕	PROPN
ejpam-450	47	1	an	an	DET
ejpam-450	47	2	xn	xn	PROPN
ejpam-450	47	3	⊕	⊕	PROPN
ejpam-450	47	4	a0	a0	PROPN
ejpam-450	47	5	,	,	PUNCT
ejpam-450	47	6	where	where	SCONJ
ejpam-450	47	7	a0	a0	PROPN
ejpam-450	47	8	,	,	PUNCT
ejpam-450	47	9	a1	a1	PROPN
ejpam-450	47	10	,	,	PUNCT
ejpam-450	47	11	.	.	PUNCT
ejpam-450	47	12	.	.	PUNCT
ejpam-450	47	13	.	.	PUNCT
ejpam-450	48	1	,	,	PUNCT
ejpam-450	48	2	an	an	DET
ejpam-450	48	3	∈	∈	PROPN
ejpam-450	48	4	f2	f2	PROPN
ejpam-450	48	5	.	.	PUNCT
ejpam-450	49	1	when	when	SCONJ
ejpam-450	49	2	a0	a0	PROPN
ejpam-450	49	3	=	=	SYM
ejpam-450	49	4	0	0	PROPN
ejpam-450	49	5	,	,	PUNCT
ejpam-450	49	6	we	we	PRON
ejpam-450	49	7	have	have	VERB
ejpam-450	49	8	the	the	DET
ejpam-450	49	9	linear	linear	ADJ
ejpam-450	49	10	functions	function	NOUN
ejpam-450	49	11	and	and	CCONJ
ejpam-450	49	12	they	they	PRON
ejpam-450	49	13	are	be	AUX
ejpam-450	49	14	denoted	denote	VERB
ejpam-450	49	15	by	by	ADP
ejpam-450	49	16	la	la	PROPN
ejpam-450	49	17	(	(	PUNCT
ejpam-450	49	18	x	x	X
ejpam-450	49	19	)	)	PUNCT
ejpam-450	49	20	with	with	ADP
ejpam-450	49	21	a	a	DET
ejpam-450	49	22	=	=	SYM
ejpam-450	49	23	�	�	PROPN
ejpam-450	49	24	a1	a1	NOUN
ejpam-450	49	25	,	,	PUNCT
ejpam-450	49	26	.	.	PUNCT
ejpam-450	49	27	.	.	PUNCT
ejpam-450	50	1	.	.	PUNCT
ejpam-450	51	1	,	,	PUNCT
ejpam-450	51	2	an	an	DET
ejpam-450	51	3	�	�	PROPN
ejpam-450	51	4	∈	∈	PROPN
ejpam-450	51	5	fn	fn	NOUN
ejpam-450	51	6	2	2	NUM
ejpam-450	51	7	.	.	PUNCT
ejpam-450	52	1	the	the	DET
ejpam-450	52	2	walsh	walsh	PROPN
ejpam-450	52	3	transform	transform	NOUN
ejpam-450	52	4	of	of	ADP
ejpam-450	52	5	an	an	DET
ejpam-450	52	6	n	n	CCONJ
ejpam-450	52	7	-	-	PUNCT
ejpam-450	52	8	boolean	boolean	ADJ
ejpam-450	52	9	function	function	NOUN
ejpam-450	52	10	f	f	PROPN
ejpam-450	52	11	is	be	AUX
ejpam-450	52	12	the	the	DET
ejpam-450	52	13	pseudo	pseudo	NOUN
ejpam-450	52	14	-	-	ADJ
ejpam-450	52	15	boolean	boolean	ADJ
ejpam-450	52	16	function	function	NOUN
ejpam-450	52	17	f̂	f̂	NUM
ejpam-450	52	18	such	such	ADJ
ejpam-450	52	19	that	that	SCONJ
ejpam-450	52	20	f̂	f̂	NUM
ejpam-450	52	21	:	:	PUNCT
ejpam-450	52	22	fn	fn	NOUN
ejpam-450	52	23	2	2	NUM
ejpam-450	52	24	→	→	SYM
ejpam-450	52	25	r	r	NOUN
ejpam-450	52	26	(	(	PUNCT
ejpam-450	52	27	3	3	NUM
ejpam-450	52	28	)	)	PUNCT
ejpam-450	52	29	u	u	NOUN
ejpam-450	52	30	7→	7→	PROPN
ejpam-450	52	31	f̂	f̂	X
ejpam-450	52	32	(	(	PUNCT
ejpam-450	52	33	u	u	NOUN
ejpam-450	52	34	)	)	PUNCT
ejpam-450	52	35	=	=	SYM
ejpam-450	52	36	∑	∑	PUNCT
ejpam-450	52	37	x∈fn	x∈fn	PROPN
ejpam-450	52	38	2	2	NUM
ejpam-450	52	39	(	(	PUNCT
ejpam-450	52	40	−1)x•u	−1)x•u	NOUN
ejpam-450	52	41	f	f	X
ejpam-450	52	42	(	(	PUNCT
ejpam-450	52	43	x	x	X
ejpam-450	52	44	)	)	PUNCT
ejpam-450	52	45	where	where	SCONJ
ejpam-450	52	46	x	x	SYM
ejpam-450	52	47	•	•	ADP
ejpam-450	52	48	u	u	NOUN
ejpam-450	52	49	stands	stand	VERB
ejpam-450	52	50	for	for	ADP
ejpam-450	52	51	the	the	DET
ejpam-450	52	52	usual	usual	ADJ
ejpam-450	52	53	inner	inner	ADJ
ejpam-450	52	54	product	product	NOUN
ejpam-450	52	55	.	.	PUNCT
ejpam-450	53	1	note	note	VERB
ejpam-450	53	2	that	that	SCONJ
ejpam-450	53	3	f̂	f̂	PROPN
ejpam-450	53	4	(	(	PUNCT
ejpam-450	53	5	0	0	NUM
ejpam-450	53	6	)	)	PUNCT
ejpam-450	53	7	=	=	SYM
ejpam-450	53	8	∑	∑	PUNCT
ejpam-450	53	9	x∈fn	x∈fn	PROPN
ejpam-450	53	10	2	2	NUM
ejpam-450	53	11	(	(	PUNCT
ejpam-450	53	12	−1)x•0	−1)x•0	PROPN
ejpam-450	53	13	f	f	PROPN
ejpam-450	53	14	(	(	PUNCT
ejpam-450	53	15	x	x	NOUN
ejpam-450	53	16	)	)	PUNCT
ejpam-450	53	17	=	=	SYM
ejpam-450	53	18	∑	∑	PUNCT
ejpam-450	53	19	x∈fn	x∈fn	PROPN
ejpam-450	53	20	2	2	NUM
ejpam-450	53	21	f	f	NOUN
ejpam-450	53	22	(	(	PUNCT
ejpam-450	53	23	x	x	NOUN
ejpam-450	53	24	)	)	PUNCT
ejpam-450	53	25	=	=	SYM
ejpam-450	53	26	wh	wh	VERB
ejpam-450	53	27	�	�	PROPN
ejpam-450	53	28	f	f	PROPN
ejpam-450	53	29	�	�	PROPN
ejpam-450	53	30	,	,	PUNCT
ejpam-450	53	31	(	(	PUNCT
ejpam-450	53	32	4	4	NUM
ejpam-450	53	33	)	)	PUNCT
ejpam-450	53	34	and	and	CCONJ
ejpam-450	53	35	,	,	PUNCT
ejpam-450	53	36	as	as	ADP
ejpam-450	53	37	a	a	DET
ejpam-450	53	38	consequence	consequence	NOUN
ejpam-450	53	39	,	,	PUNCT
ejpam-450	53	40	dh	dh	PROPN
ejpam-450	53	41	�	�	PROPN
ejpam-450	53	42	f	f	PROPN
ejpam-450	53	43	,	,	PUNCT
ejpam-450	53	44	g	g	PROPN
ejpam-450	53	45	�	�	PROPN
ejpam-450	53	46	=	=	SYM
ejpam-450	53	47	wh	wh	VERB
ejpam-450	53	48	�	�	PROPN
ejpam-450	53	49	f	f	PROPN
ejpam-450	53	50	⊕	⊕	PROPN
ejpam-450	53	51	g	g	PROPN
ejpam-450	53	52	�	�	PROPN
ejpam-450	53	53	=	=	SYM
ejpam-450	53	54	û	û	PROPN
ejpam-450	53	55	�	�	PROPN
ejpam-450	53	56	f	f	PROPN
ejpam-450	53	57	+	+	CCONJ
ejpam-450	53	58	g	g	PROPN
ejpam-450	53	59	�	�	PROPN
ejpam-450	53	60	(	(	PUNCT
ejpam-450	53	61	0	0	NUM
ejpam-450	53	62	)	)	PUNCT
ejpam-450	53	63	.	.	PUNCT
ejpam-450	54	1	the	the	DET
ejpam-450	54	2	derivative	derivative	NOUN
ejpam-450	54	3	of	of	ADP
ejpam-450	54	4	the	the	DET
ejpam-450	54	5	n	n	CCONJ
ejpam-450	54	6	-	-	PUNCT
ejpam-450	54	7	variable	variable	ADJ
ejpam-450	54	8	boolean	boolean	ADJ
ejpam-450	54	9	function	function	NOUN
ejpam-450	54	10	f	f	PROPN
ejpam-450	54	11	with	with	ADP
ejpam-450	54	12	respect	respect	NOUN
ejpam-450	54	13	to	to	ADP
ejpam-450	54	14	b	b	NOUN
ejpam-450	54	15	∈	∈	NOUN
ejpam-450	54	16	fn	fn	NOUN
ejpam-450	54	17	2	2	NUM
ejpam-450	54	18	is	be	AUX
ejpam-450	54	19	the	the	DET
ejpam-450	54	20	following	follow	VERB
ejpam-450	54	21	boolean	boolean	ADJ
ejpam-450	54	22	function	function	NOUN
ejpam-450	54	23	:	:	PUNCT
ejpam-450	55	1	db	db	PROPN
ejpam-450	56	1	f	f	X
ejpam-450	56	2	:	:	PUNCT
ejpam-450	56	3	fn	fn	NOUN
ejpam-450	56	4	2	2	NUM
ejpam-450	56	5	→	→	SYM
ejpam-450	56	6	f2	f2	X
ejpam-450	56	7	(	(	PUNCT
ejpam-450	56	8	5	5	NUM
ejpam-450	56	9	)	)	PUNCT
ejpam-450	56	10	x	x	SYM
ejpam-450	57	1	7→	7→	NUM
ejpam-450	57	2	db	db	X
ejpam-450	57	3	f	f	X
ejpam-450	57	4	(	(	PUNCT
ejpam-450	57	5	x	x	X
ejpam-450	57	6	)	)	PUNCT
ejpam-450	57	7	=	=	SYM
ejpam-450	57	8	f	f	PROPN
ejpam-450	57	9	(	(	PUNCT
ejpam-450	57	10	x)⊕	x)⊕	PROPN
ejpam-450	57	11	f	f	PROPN
ejpam-450	57	12	(	(	PUNCT
ejpam-450	57	13	x	x	PROPN
ejpam-450	57	14	⊕	⊕	PROPN
ejpam-450	57	15	b	b	PROPN
ejpam-450	57	16	)	)	PUNCT
ejpam-450	57	17	the	the	DET
ejpam-450	57	18	linear	linear	ADJ
ejpam-450	57	19	kernel	kernel	NOUN
ejpam-450	57	20	of	of	ADP
ejpam-450	57	21	f	f	PROPN
ejpam-450	57	22	is	be	AUX
ejpam-450	57	23	denoted	denote	VERB
ejpam-450	57	24	by	by	ADP
ejpam-450	57	25	lk	lk	PROPN
ejpam-450	57	26	�	�	PROPN
ejpam-450	57	27	f	f	PROPN
ejpam-450	57	28	�	�	PROPN
ejpam-450	57	29	and	and	CCONJ
ejpam-450	57	30	it	it	PRON
ejpam-450	57	31	is	be	AUX
ejpam-450	57	32	defined	define	VERB
ejpam-450	57	33	as	as	ADP
ejpam-450	57	34	the	the	DET
ejpam-450	57	35	following	follow	VERB
ejpam-450	57	36	subspace	subspace	NOUN
ejpam-450	57	37	of	of	ADP
ejpam-450	57	38	f	f	PROPN
ejpam-450	57	39	n	n	PROPN
ejpam-450	57	40	2	2	NUM
ejpam-450	57	41	:	:	PUNCT
ejpam-450	58	1	lk	lk	PROPN
ejpam-450	58	2	�	�	PROPN
ejpam-450	58	3	f	f	PROPN
ejpam-450	58	4	�	�	PROPN
ejpam-450	58	5	=	=	SYM
ejpam-450	58	6	¦	¦	PROPN
ejpam-450	58	7	b	b	PROPN
ejpam-450	58	8	∈	∈	PROPN
ejpam-450	58	9	fn	fn	NOUN
ejpam-450	58	10	2	2	NUM
ejpam-450	58	11	such	such	ADJ
ejpam-450	58	12	that	that	SCONJ
ejpam-450	58	13	db	db	PROPN
ejpam-450	58	14	f	f	PROPN
ejpam-450	58	15	is	be	AUX
ejpam-450	58	16	a	a	DET
ejpam-450	58	17	constant	constant	ADJ
ejpam-450	58	18	function	function	NOUN
ejpam-450	58	19	©	©	PROPN
ejpam-450	58	20	.	.	PUNCT
ejpam-450	59	1	(	(	PUNCT
ejpam-450	59	2	6	6	NUM
ejpam-450	59	3	)	)	PUNCT
ejpam-450	59	4	every	every	DET
ejpam-450	59	5	element	element	NOUN
ejpam-450	59	6	b	b	PROPN
ejpam-450	59	7	∈	∈	PROPN
ejpam-450	59	8	lk	lk	PROPN
ejpam-450	59	9	�	�	PROPN
ejpam-450	59	10	f	f	PROPN
ejpam-450	59	11	�	�	PROPN
ejpam-450	59	12	is	be	AUX
ejpam-450	59	13	called	call	VERB
ejpam-450	59	14	linear	linear	ADJ
ejpam-450	59	15	structure	structure	NOUN
ejpam-450	59	16	of	of	ADP
ejpam-450	59	17	f	f	PROPN
ejpam-450	59	18	.	.	PUNCT
ejpam-450	60	1	as	as	SCONJ
ejpam-450	60	2	is	be	AUX
ejpam-450	60	3	well	well	ADV
ejpam-450	60	4	known	know	VERB
ejpam-450	60	5	,	,	PUNCT
ejpam-450	60	6	boolean	boolean	ADJ
ejpam-450	60	7	functions	function	NOUN
ejpam-450	60	8	play	play	VERB
ejpam-450	60	9	an	an	DET
ejpam-450	60	10	important	important	ADJ
ejpam-450	60	11	role	role	NOUN
ejpam-450	60	12	in	in	ADP
ejpam-450	60	13	symmetric	symmetric	ADJ
ejpam-450	60	14	cryptography	cryptography	NOUN
ejpam-450	61	1	[	[	X
ejpam-450	61	2	see	see	INTJ
ejpam-450	61	3	,	,	PUNCT
ejpam-450	61	4	for	for	ADP
ejpam-450	61	5	example	example	NOUN
ejpam-450	61	6	9	9	NUM
ejpam-450	61	7	,	,	PUNCT
ejpam-450	61	8	and	and	CCONJ
ejpam-450	61	9	references	reference	NOUN
ejpam-450	61	10	therein	therein	ADV
ejpam-450	61	11	]	]	PUNCT
ejpam-450	61	12	.	.	PUNCT
ejpam-450	62	1	the	the	DET
ejpam-450	62	2	cryptographic	cryptographic	ADJ
ejpam-450	62	3	usefulness	usefulness	NOUN
ejpam-450	62	4	of	of	ADP
ejpam-450	62	5	boolean	boolean	ADJ
ejpam-450	62	6	functions	function	NOUN
ejpam-450	62	7	is	be	AUX
ejpam-450	62	8	measured	measure	VERB
ejpam-450	62	9	by	by	ADP
ejpam-450	62	10	some	some	DET
ejpam-450	62	11	cryptographic	cryptographic	ADJ
ejpam-450	62	12	characteristics	characteristic	NOUN
ejpam-450	62	13	.	.	PUNCT
ejpam-450	63	1	the	the	DET
ejpam-450	63	2	most	most	ADV
ejpam-450	63	3	important	important	ADJ
ejpam-450	63	4	of	of	ADP
ejpam-450	63	5	these	these	DET
ejpam-450	63	6	properties	property	NOUN
ejpam-450	63	7	are	be	AUX
ejpam-450	63	8	the	the	DET
ejpam-450	63	9	following	follow	VERB
ejpam-450	63	10	:	:	PUNCT
ejpam-450	63	11	high	high	ADJ
ejpam-450	63	12	algebraic	algebraic	ADJ
ejpam-450	63	13	degree	degree	NOUN
ejpam-450	63	14	,	,	PUNCT
ejpam-450	63	15	balancedness	balancedness	NOUN
ejpam-450	63	16	,	,	PUNCT
ejpam-450	63	17	high	high	ADJ
ejpam-450	63	18	non	non	ADJ
ejpam-450	63	19	-	-	ADJ
ejpam-450	63	20	linearity	linearity	ADJ
ejpam-450	63	21	,	,	PUNCT
ejpam-450	63	22	resiliency	resiliency	NOUN
ejpam-450	63	23	,	,	PUNCT
ejpam-450	63	24	higher	high	ADJ
ejpam-450	63	25	-	-	PUNCT
ejpam-450	63	26	order	order	NOUN
ejpam-450	63	27	propagation	propagation	NOUN
ejpam-450	63	28	criteria	criterion	NOUN
ejpam-450	63	29	and	and	CCONJ
ejpam-450	63	30	the	the	DET
ejpam-450	63	31	non	non	NOUN
ejpam-450	63	32	-	-	NOUN
ejpam-450	63	33	existence	existence	NOUN
ejpam-450	63	34	of	of	ADP
ejpam-450	63	35	nonzero	nonzero	PROPN
ejpam-450	63	36	linear	linear	PROPN
ejpam-450	63	37	structures	structure	NOUN
ejpam-450	63	38	.	.	PUNCT
ejpam-450	64	1	in	in	ADP
ejpam-450	64	2	order	order	NOUN
ejpam-450	64	3	to	to	PART
ejpam-450	64	4	resist	resist	VERB
ejpam-450	64	5	modern	modern	ADJ
ejpam-450	64	6	cryptanalytic	cryptanalytic	ADJ
ejpam-450	64	7	attacks	attack	NOUN
ejpam-450	64	8	(	(	PUNCT
ejpam-450	64	9	based	base	VERB
ejpam-450	64	10	on	on	ADP
ejpam-450	64	11	linear	linear	ADJ
ejpam-450	64	12	approximation	approximation	NOUN
ejpam-450	64	13	and	and	CCONJ
ejpam-450	64	14	differential	differential	ADJ
ejpam-450	64	15	characteristics	characteristic	NOUN
ejpam-450	64	16	)	)	PUNCT
ejpam-450	64	17	,	,	PUNCT
ejpam-450	64	18	highly	highly	ADV
ejpam-450	64	19	nonlinear	nonlinear	ADJ
ejpam-450	64	20	boolean	boolean	ADJ
ejpam-450	64	21	functions	function	NOUN
ejpam-450	64	22	with	with	ADP
ejpam-450	64	23	good	good	ADJ
ejpam-450	64	24	propagation	propagation	NOUN
ejpam-450	64	25	criteria	criterion	NOUN
ejpam-450	64	26	and	and	CCONJ
ejpam-450	64	27	less	less	ADJ
ejpam-450	64	28	linear	linear	ADJ
ejpam-450	64	29	structure	structure	NOUN
ejpam-450	64	30	are	be	AUX
ejpam-450	64	31	basically	basically	ADV
ejpam-450	64	32	needed	need	VERB
ejpam-450	64	33	.	.	PUNCT
ejpam-450	65	1	3	3	X
ejpam-450	65	2	.	.	X
ejpam-450	65	3	two	two	NUM
ejpam-450	65	4	-	-	PUNCT
ejpam-450	65	5	dimensional	dimensional	ADJ
ejpam-450	65	6	cellular	cellular	ADJ
ejpam-450	65	7	automata	automata	NOUN
ejpam-450	65	8	two	two	NUM
ejpam-450	65	9	-	-	PUNCT
ejpam-450	65	10	dimensional	dimensional	ADJ
ejpam-450	65	11	cellular	cellular	ADJ
ejpam-450	65	12	automata	automata	NOUN
ejpam-450	65	13	(	(	PUNCT
ejpam-450	65	14	ca	ca	NOUN
ejpam-450	65	15	for	for	ADP
ejpam-450	65	16	short	short	ADJ
ejpam-450	65	17	)	)	PUNCT
ejpam-450	65	18	are	be	AUX
ejpam-450	65	19	finite	finite	ADJ
ejpam-450	65	20	state	state	NOUN
ejpam-450	65	21	machines	machine	NOUN
ejpam-450	65	22	consisting	consist	VERB
ejpam-450	65	23	of	of	ADP
ejpam-450	65	24	r	r	NOUN
ejpam-450	65	25	×	×	NOUN
ejpam-450	65	26	c	c	NOUN
ejpam-450	65	27	cells	cell	NOUN
ejpam-450	65	28	which	which	PRON
ejpam-450	65	29	are	be	AUX
ejpam-450	65	30	uniformly	uniformly	ADV
ejpam-450	65	31	arranged	arrange	VERB
ejpam-450	65	32	on	on	ADP
ejpam-450	65	33	a	a	DET
ejpam-450	65	34	finite	finite	ADJ
ejpam-450	65	35	two	two	NUM
ejpam-450	65	36	-	-	PUNCT
ejpam-450	65	37	dimensional	dimensional	ADJ
ejpam-450	65	38	lattice	lattice	NOUN
ejpam-450	65	39	.	.	PUNCT
ejpam-450	66	1	each	each	DET
ejpam-450	66	2	cell	cell	NOUN
ejpam-450	66	3	can	can	AUX
ejpam-450	66	4	j.	j.	PROPN
ejpam-450	66	5	escuadra	escuadra	PROPN
ejpam-450	66	6	,	,	PUNCT
ejpam-450	66	7	a.	a.	PROPN
ejpam-450	66	8	martín	martín	PROPN
ejpam-450	66	9	del	del	PROPN
ejpam-450	66	10	rey	rey	PROPN
ejpam-450	66	11	,	,	PUNCT
ejpam-450	66	12	et	et	NOUN
ejpam-450	66	13	.	.	PUNCT
ejpam-450	67	1	al	al	PROPN
ejpam-450	67	2	.	.	PUNCT
ejpam-450	67	3	/	/	SYM
ejpam-450	67	4	eur	eur	PROPN
ejpam-450	67	5	.	.	PUNCT
ejpam-450	68	1	j.	j.	PROPN
ejpam-450	68	2	pure	pure	PROPN
ejpam-450	68	3	appl	appl	PROPN
ejpam-450	68	4	.	.	PROPN
ejpam-450	68	5	math	math	PROPN
ejpam-450	68	6	,	,	PUNCT
ejpam-450	68	7	3	3	NUM
ejpam-450	68	8	(	(	PUNCT
ejpam-450	68	9	2010	2010	NUM
ejpam-450	68	10	)	)	PUNCT
ejpam-450	68	11	,	,	PUNCT
ejpam-450	68	12	765	765	NUM
ejpam-450	68	13	-	-	SYM
ejpam-450	68	14	778	778	NUM
ejpam-450	68	15	768	768	NUM
ejpam-450	68	16	assume	assume	VERB
ejpam-450	68	17	two	two	NUM
ejpam-450	68	18	states	state	NOUN
ejpam-450	68	19	(	(	PUNCT
ejpam-450	68	20	0	0	NUM
ejpam-450	68	21	or	or	CCONJ
ejpam-450	68	22	1	1	NUM
ejpam-450	68	23	)	)	PUNCT
ejpam-450	68	24	and	and	CCONJ
ejpam-450	68	25	it	it	PRON
ejpam-450	68	26	changes	change	VERB
ejpam-450	68	27	synchronously	synchronously	ADV
ejpam-450	68	28	in	in	ADP
ejpam-450	68	29	discrete	discrete	ADJ
ejpam-450	68	30	steps	step	NOUN
ejpam-450	68	31	of	of	ADP
ejpam-450	68	32	time	time	NOUN
ejpam-450	68	33	according	accord	VERB
ejpam-450	68	34	to	to	ADP
ejpam-450	68	35	a	a	DET
ejpam-450	68	36	local	local	ADJ
ejpam-450	68	37	transition	transition	NOUN
ejpam-450	68	38	function	function	NOUN
ejpam-450	68	39	f	f	PROPN
ejpam-450	68	40	.	.	PUNCT
ejpam-450	69	1	in	in	ADP
ejpam-450	69	2	this	this	DET
ejpam-450	69	3	regard	regard	NOUN
ejpam-450	69	4	,	,	PUNCT
ejpam-450	69	5	the	the	DET
ejpam-450	69	6	state	state	NOUN
ejpam-450	69	7	of	of	ADP
ejpam-450	69	8	each	each	DET
ejpam-450	69	9	cell	cell	NOUN
ejpam-450	69	10	at	at	ADP
ejpam-450	69	11	time	time	NOUN
ejpam-450	69	12	t	t	NOUN
ejpam-450	69	13	+	+	CCONJ
ejpam-450	69	14	1	1	NUM
ejpam-450	69	15	depends	depend	VERB
ejpam-450	69	16	on	on	ADP
ejpam-450	69	17	the	the	DET
ejpam-450	69	18	states	state	NOUN
ejpam-450	69	19	of	of	ADP
ejpam-450	69	20	the	the	DET
ejpam-450	69	21	its	its	PRON
ejpam-450	69	22	neighbor	neighbor	NOUN
ejpam-450	69	23	cells	cell	NOUN
ejpam-450	69	24	at	at	ADP
ejpam-450	69	25	time	time	NOUN
ejpam-450	69	26	t.	t.	PROPN
ejpam-450	69	27	then	then	ADV
ejpam-450	69	28	,	,	PUNCT
ejpam-450	69	29	if	if	SCONJ
ejpam-450	69	30	st	st	PROPN
ejpam-450	69	31	i	i	PROPN
ejpam-450	69	32	j	j	PROPN
ejpam-450	69	33	is	be	AUX
ejpam-450	69	34	the	the	DET
ejpam-450	69	35	state	state	NOUN
ejpam-450	69	36	of	of	ADP
ejpam-450	69	37	the	the	DET
ejpam-450	69	38	�	�	PROPN
ejpam-450	69	39	i	i	PROPN
ejpam-450	69	40	,	,	PUNCT
ejpam-450	69	41	j	j	PROPN
ejpam-450	69	42	�	�	PROPN
ejpam-450	69	43	-th	-th	NOUN
ejpam-450	69	44	cell	cell	NOUN
ejpam-450	69	45	at	at	ADP
ejpam-450	69	46	time	time	NOUN
ejpam-450	69	47	t	t	PROPN
ejpam-450	70	1	+	+	CCONJ
ejpam-450	70	2	1	1	NUM
ejpam-450	70	3	,	,	PUNCT
ejpam-450	70	4	then	then	ADV
ejpam-450	70	5	:	:	PUNCT
ejpam-450	70	6	st+1	st+1	PROPN
ejpam-450	71	1	i	i	PRON
ejpam-450	71	2	j	j	NOUN
ejpam-450	71	3	=	=	SYM
ejpam-450	71	4	f	f	PROPN
ejpam-450	71	5	�	�	PROPN
ejpam-450	71	6	st	st	PROPN
ejpam-450	71	7	i−1	i−1	PROPN
ejpam-450	71	8	,	,	PUNCT
ejpam-450	71	9	j	j	PROPN
ejpam-450	71	10	,	,	PUNCT
ejpam-450	71	11	s	s	PROPN
ejpam-450	71	12	t	t	PROPN
ejpam-450	71	13	i	i	PRON
ejpam-450	71	14	,	,	PUNCT
ejpam-450	71	15	j−1	j−1	PROPN
ejpam-450	71	16	,	,	PUNCT
ejpam-450	71	17	st	st	PROPN
ejpam-450	72	1	i	i	PROPN
ejpam-450	72	2	j	j	PROPN
ejpam-450	72	3	,	,	PUNCT
ejpam-450	72	4	s	s	PROPN
ejpam-450	73	1	t	t	NOUN
ejpam-450	73	2	i	i	PRON
ejpam-450	73	3	,	,	PUNCT
ejpam-450	73	4	j+1	j+1	PROPN
ejpam-450	73	5	,	,	PUNCT
ejpam-450	73	6	st	st	PROPN
ejpam-450	73	7	i+1	i+1	NOUN
ejpam-450	73	8	,	,	PUNCT
ejpam-450	73	9	j	j	PROPN
ejpam-450	73	10	�	�	PROPN
ejpam-450	73	11	∈	∈	PROPN
ejpam-450	73	12	f2	f2	PROPN
ejpam-450	73	13	.	.	PUNCT
ejpam-450	74	1	(	(	PUNCT
ejpam-450	74	2	7	7	X
ejpam-450	74	3	)	)	PUNCT
ejpam-450	74	4	note	note	VERB
ejpam-450	74	5	that	that	SCONJ
ejpam-450	74	6	in	in	ADP
ejpam-450	74	7	this	this	DET
ejpam-450	74	8	work	work	NOUN
ejpam-450	74	9	von	von	PROPN
ejpam-450	74	10	neumann	neumann	PROPN
ejpam-450	74	11	neighborhoods	neighborhood	NOUN
ejpam-450	74	12	are	be	AUX
ejpam-450	74	13	considered	consider	VERB
ejpam-450	74	14	,	,	PUNCT
ejpam-450	74	15	that	that	ADV
ejpam-450	74	16	is	is	ADV
ejpam-450	74	17	,	,	PUNCT
ejpam-450	74	18	the	the	DET
ejpam-450	74	19	neighborhood	neighborhood	NOUN
ejpam-450	74	20	of	of	ADP
ejpam-450	74	21	each	each	DET
ejpam-450	74	22	cell	cell	NOUN
ejpam-450	74	23	is	be	AUX
ejpam-450	74	24	formed	form	VERB
ejpam-450	74	25	by	by	ADP
ejpam-450	74	26	its	its	PRON
ejpam-450	74	27	four	four	NUM
ejpam-450	74	28	nearest	near	ADJ
ejpam-450	74	29	cells	cell	NOUN
ejpam-450	74	30	placed	place	VERB
ejpam-450	74	31	at	at	ADP
ejpam-450	74	32	north	north	NOUN
ejpam-450	74	33	,	,	PUNCT
ejpam-450	74	34	south	south	NOUN
ejpam-450	74	35	,	,	PUNCT
ejpam-450	74	36	east	east	NOUN
ejpam-450	74	37	and	and	CCONJ
ejpam-450	74	38	west	west	PROPN
ejpam-450	74	39	.	.	PUNCT
ejpam-450	75	1	as	as	SCONJ
ejpam-450	75	2	the	the	DET
ejpam-450	75	3	number	number	NOUN
ejpam-450	75	4	of	of	ADP
ejpam-450	75	5	cells	cell	NOUN
ejpam-450	75	6	is	be	AUX
ejpam-450	75	7	finite	finite	ADJ
ejpam-450	75	8	,	,	PUNCT
ejpam-450	75	9	it	it	PRON
ejpam-450	75	10	is	be	AUX
ejpam-450	75	11	necessary	necessary	ADJ
ejpam-450	75	12	to	to	PART
ejpam-450	75	13	establish	establish	VERB
ejpam-450	75	14	some	some	DET
ejpam-450	75	15	type	type	NOUN
ejpam-450	75	16	of	of	ADP
ejpam-450	75	17	boundary	boundary	ADJ
ejpam-450	75	18	conditions	condition	NOUN
ejpam-450	75	19	.	.	PUNCT
ejpam-450	76	1	usually	usually	ADV
ejpam-450	76	2	one	one	NUM
ejpam-450	76	3	considers	consider	VERB
ejpam-450	76	4	periodic	periodic	ADJ
ejpam-450	76	5	boundary	boundary	ADJ
ejpam-450	76	6	conditions	condition	NOUN
ejpam-450	76	7	(	(	PUNCT
ejpam-450	76	8	in	in	ADP
ejpam-450	76	9	topological	topological	ADJ
ejpam-450	76	10	terms	term	NOUN
ejpam-450	76	11	,	,	PUNCT
ejpam-450	76	12	the	the	DET
ejpam-450	76	13	lattice	lattice	NOUN
ejpam-450	76	14	can	can	AUX
ejpam-450	76	15	be	be	AUX
ejpam-450	76	16	thought	think	VERB
ejpam-450	76	17	of	of	ADP
ejpam-450	76	18	as	as	ADP
ejpam-450	76	19	being	be	AUX
ejpam-450	76	20	mapped	map	VERB
ejpam-450	76	21	onto	onto	ADP
ejpam-450	76	22	a	a	DET
ejpam-450	76	23	three	three	NUM
ejpam-450	76	24	-	-	PUNCT
ejpam-450	76	25	dimensional	dimensional	ADJ
ejpam-450	76	26	torus	torus	NOUN
ejpam-450	76	27	)	)	PUNCT
ejpam-450	76	28	or	or	CCONJ
ejpam-450	76	29	null	null	ADJ
ejpam-450	76	30	boundary	boundary	ADJ
ejpam-450	76	31	conditions	condition	NOUN
ejpam-450	76	32	(	(	PUNCT
ejpam-450	76	33	the	the	DET
ejpam-450	76	34	cells	cell	NOUN
ejpam-450	76	35	beyond	beyond	ADP
ejpam-450	76	36	each	each	DET
ejpam-450	76	37	end	end	NOUN
ejpam-450	76	38	are	be	AUX
ejpam-450	76	39	modified	modify	VERB
ejpam-450	76	40	to	to	PART
ejpam-450	76	41	maintain	maintain	VERB
ejpam-450	76	42	state	state	NOUN
ejpam-450	76	43	0	0	NUM
ejpam-450	76	44	at	at	ADP
ejpam-450	76	45	every	every	DET
ejpam-450	76	46	step	step	NOUN
ejpam-450	76	47	of	of	ADP
ejpam-450	76	48	time	time	NOUN
ejpam-450	76	49	)	)	PUNCT
ejpam-450	76	50	.	.	PUNCT
ejpam-450	77	1	note	note	VERB
ejpam-450	77	2	that	that	SCONJ
ejpam-450	77	3	the	the	DET
ejpam-450	77	4	local	local	ADJ
ejpam-450	77	5	transition	transition	NOUN
ejpam-450	77	6	function	function	NOUN
ejpam-450	77	7	f	f	NOUN
ejpam-450	77	8	:	:	PUNCT
ejpam-450	77	9	f4	f4	PROPN
ejpam-450	77	10	2	2	NUM
ejpam-450	77	11	→	→	SYM
ejpam-450	77	12	f2	f2	X
ejpam-450	77	13	(	(	PUNCT
ejpam-450	77	14	8)	8)	NUM
ejpam-450	77	15	�	�	PROPN
ejpam-450	77	16	st	st	PROPN
ejpam-450	77	17	i−1	i−1	PROPN
ejpam-450	77	18	,	,	PUNCT
ejpam-450	77	19	j	j	PROPN
ejpam-450	77	20	,	,	PUNCT
ejpam-450	77	21	s	s	PROPN
ejpam-450	77	22	t	t	PROPN
ejpam-450	77	23	i	i	PRON
ejpam-450	77	24	,	,	PUNCT
ejpam-450	77	25	j−1	j−1	PROPN
ejpam-450	77	26	,	,	PUNCT
ejpam-450	77	27	st	st	PROPN
ejpam-450	77	28	i	i	PROPN
ejpam-450	77	29	,	,	PUNCT
ejpam-450	77	30	j+1	j+1	PROPN
ejpam-450	77	31	,	,	PUNCT
ejpam-450	77	32	st	st	PROPN
ejpam-450	77	33	i+1	i+1	NOUN
ejpam-450	77	34	,	,	PUNCT
ejpam-450	77	35	j	j	PROPN
ejpam-450	77	36	�	�	PROPN
ejpam-450	77	37	7−→	7−→	PROPN
ejpam-450	77	38	st+1	st+1	NOUN
ejpam-450	78	1	i	i	PRON
ejpam-450	78	2	j	j	PROPN
ejpam-450	79	1	=	=	SYM
ejpam-450	79	2	f	f	PROPN
ejpam-450	79	3	�	�	PROPN
ejpam-450	79	4	st	st	PROPN
ejpam-450	79	5	i−1	i−1	PROPN
ejpam-450	79	6	,	,	PUNCT
ejpam-450	79	7	j	j	PROPN
ejpam-450	79	8	,	,	PUNCT
ejpam-450	79	9	s	s	PROPN
ejpam-450	79	10	t	t	PROPN
ejpam-450	79	11	i	i	PRON
ejpam-450	79	12	,	,	PUNCT
ejpam-450	79	13	j−1	j−1	PROPN
ejpam-450	79	14	,	,	PUNCT
ejpam-450	79	15	st	st	PROPN
ejpam-450	79	16	i	i	PROPN
ejpam-450	79	17	,	,	PUNCT
ejpam-450	79	18	j+1	j+1	PROPN
ejpam-450	79	19	,	,	PUNCT
ejpam-450	79	20	st	st	PROPN
ejpam-450	79	21	i+1	i+1	NOUN
ejpam-450	79	22	,	,	PUNCT
ejpam-450	79	23	j	j	PROPN
ejpam-450	79	24	�	�	PROPN
ejpam-450	79	25	is	be	AUX
ejpam-450	79	26	a	a	DET
ejpam-450	79	27	4	4	NUM
ejpam-450	79	28	-	-	PUNCT
ejpam-450	79	29	variable	variable	ADJ
ejpam-450	79	30	boolean	boolean	ADJ
ejpam-450	79	31	function	function	NOUN
ejpam-450	79	32	.	.	PUNCT
ejpam-450	80	1	consequently	consequently	ADV
ejpam-450	80	2	,	,	PUNCT
ejpam-450	80	3	there	there	PRON
ejpam-450	80	4	exists	exist	VERB
ejpam-450	80	5	224	224	NUM
ejpam-450	80	6	=	=	SYM
ejpam-450	80	7	216	216	NUM
ejpam-450	80	8	=	=	SYM
ejpam-450	80	9	65,536	65,536	NUM
ejpam-450	80	10	bidimensional	bidimensional	ADJ
ejpam-450	80	11	cellular	cellular	ADJ
ejpam-450	80	12	automata	automata	NOUN
ejpam-450	80	13	with	with	ADP
ejpam-450	80	14	von	von	PROPN
ejpam-450	80	15	neumann	neumann	PROPN
ejpam-450	80	16	neighborhoods	neighborhoods	PROPN
ejpam-450	80	17	.	.	PUNCT
ejpam-450	81	1	as	as	SCONJ
ejpam-450	81	2	the	the	DET
ejpam-450	81	3	anf	anf	NOUN
ejpam-450	81	4	of	of	ADP
ejpam-450	81	5	such	such	ADJ
ejpam-450	81	6	ca	ca	NOUN
ejpam-450	81	7	is	be	AUX
ejpam-450	81	8	:	:	PUNCT
ejpam-450	81	9	f	f	PROPN
ejpam-450	81	10	�	�	PROPN
ejpam-450	81	11	st	st	PROPN
ejpam-450	81	12	i−1	i−1	PROPN
ejpam-450	81	13	,	,	PUNCT
ejpam-450	81	14	j	j	PROPN
ejpam-450	81	15	,	,	PUNCT
ejpam-450	81	16	s	s	PROPN
ejpam-450	81	17	t	t	PROPN
ejpam-450	82	1	i	i	PRON
ejpam-450	82	2	,	,	PUNCT
ejpam-450	82	3	j−1	j−1	PROPN
ejpam-450	82	4	,	,	PUNCT
ejpam-450	82	5	st	st	PROPN
ejpam-450	82	6	i	i	PROPN
ejpam-450	82	7	,	,	PUNCT
ejpam-450	82	8	j+1	j+1	PROPN
ejpam-450	82	9	,	,	PUNCT
ejpam-450	82	10	st	st	PROPN
ejpam-450	82	11	i+1	i+1	NOUN
ejpam-450	82	12	,	,	PUNCT
ejpam-450	82	13	j	j	PROPN
ejpam-450	82	14	�	�	PROPN
ejpam-450	82	15	=	=	SYM
ejpam-450	82	16	λ0	λ0	PROPN
ejpam-450	82	17	⊕λ1st	⊕λ1st	PROPN
ejpam-450	82	18	i−1	i−1	PROPN
ejpam-450	82	19	,	,	PUNCT
ejpam-450	82	20	j	j	PROPN
ejpam-450	82	21	⊕λ2st	⊕λ2st	PROPN
ejpam-450	82	22	i	i	PRON
ejpam-450	82	23	,	,	PUNCT
ejpam-450	82	24	j−1	j−1	PROPN
ejpam-450	82	25	⊕λ3st	⊕λ3st	PROPN
ejpam-450	83	1	i	i	PRON
ejpam-450	83	2	,	,	PUNCT
ejpam-450	83	3	j+1	j+1	PROPN
ejpam-450	83	4	⊕λ4st	⊕λ4st	PROPN
ejpam-450	83	5	i+1	i+1	NUM
ejpam-450	83	6	,	,	PUNCT
ejpam-450	83	7	j	j	PROPN
ejpam-450	83	8	(	(	PUNCT
ejpam-450	83	9	9	9	NUM
ejpam-450	83	10	)	)	PUNCT
ejpam-450	83	11	⊕λ5st	⊕λ5st	PROPN
ejpam-450	84	1	i−1	i−1	PROPN
ejpam-450	84	2	,	,	PUNCT
ejpam-450	84	3	js	js	PROPN
ejpam-450	84	4	t	t	PROPN
ejpam-450	85	1	i	i	PRON
ejpam-450	85	2	,	,	PUNCT
ejpam-450	85	3	j−1	j−1	PROPN
ejpam-450	85	4	⊕λ6st	⊕λ6st	PROPN
ejpam-450	85	5	i−1	i−1	PROPN
ejpam-450	85	6	,	,	PUNCT
ejpam-450	85	7	js	js	PROPN
ejpam-450	85	8	t	t	PROPN
ejpam-450	86	1	i	i	PRON
ejpam-450	86	2	,	,	PUNCT
ejpam-450	86	3	j+1	j+1	PROPN
ejpam-450	86	4	⊕λ7st	⊕λ7st	PROPN
ejpam-450	87	1	i−1	i−1	PROPN
ejpam-450	87	2	,	,	PUNCT
ejpam-450	87	3	js	js	PROPN
ejpam-450	87	4	t	t	PROPN
ejpam-450	87	5	i+1	i+1	NOUN
ejpam-450	87	6	,	,	PUNCT
ejpam-450	87	7	j	j	PROPN
ejpam-450	87	8	⊕λ8st	⊕λ8st	PROPN
ejpam-450	87	9	i	i	PROPN
ejpam-450	87	10	,	,	PUNCT
ejpam-450	87	11	j−1st	j−1st	VERB
ejpam-450	87	12	i	i	PRON
ejpam-450	87	13	,	,	PUNCT
ejpam-450	87	14	j+1	j+1	PROPN
ejpam-450	87	15	⊕λ9st	⊕λ9st	PROPN
ejpam-450	87	16	i	i	PROPN
ejpam-450	87	17	,	,	PUNCT
ejpam-450	87	18	j−1st	j−1st	ADJ
ejpam-450	87	19	i+1	i+1	PRON
ejpam-450	87	20	,	,	PUNCT
ejpam-450	87	21	j	j	PROPN
ejpam-450	87	22	⊕λ10st	⊕λ10st	NOUN
ejpam-450	87	23	i	i	PRON
ejpam-450	87	24	,	,	PUNCT
ejpam-450	87	25	j+1st	j+1st	ADJ
ejpam-450	87	26	i+1	i+1	ADV
ejpam-450	87	27	,	,	PUNCT
ejpam-450	87	28	j	j	PROPN
ejpam-450	87	29	⊕λ11st	⊕λ11st	PROPN
ejpam-450	87	30	i−1	i−1	PROPN
ejpam-450	87	31	,	,	PUNCT
ejpam-450	87	32	js	js	PROPN
ejpam-450	87	33	t	t	PROPN
ejpam-450	87	34	i	i	PRON
ejpam-450	87	35	,	,	PUNCT
ejpam-450	87	36	j−1st	j−1st	PROPN
ejpam-450	87	37	i	i	PRON
ejpam-450	87	38	,	,	PUNCT
ejpam-450	87	39	j+1	j+1	PROPN
ejpam-450	87	40	⊕λ12st	⊕λ12st	PROPN
ejpam-450	87	41	i−1	i−1	PROPN
ejpam-450	87	42	,	,	PUNCT
ejpam-450	87	43	js	js	PROPN
ejpam-450	87	44	t	t	PROPN
ejpam-450	87	45	i	i	PRON
ejpam-450	87	46	,	,	PUNCT
ejpam-450	87	47	j−1st	j−1st	ADJ
ejpam-450	87	48	i+1	i+1	PRON
ejpam-450	87	49	,	,	PUNCT
ejpam-450	87	50	j	j	PROPN
ejpam-450	87	51	⊕λ13st	⊕λ13st	PROPN
ejpam-450	87	52	i−1	i−1	PROPN
ejpam-450	87	53	,	,	PUNCT
ejpam-450	87	54	js	js	PROPN
ejpam-450	87	55	t	t	PROPN
ejpam-450	88	1	i	i	PRON
ejpam-450	88	2	,	,	PUNCT
ejpam-450	88	3	j+1st	j+1st	ADJ
ejpam-450	88	4	i+1	i+1	ADV
ejpam-450	88	5	,	,	PUNCT
ejpam-450	88	6	j	j	PROPN
ejpam-450	88	7	⊕λ14st	⊕λ14st	PROPN
ejpam-450	88	8	i	i	PRON
ejpam-450	88	9	,	,	PUNCT
ejpam-450	88	10	j−1st	j−1st	PROPN
ejpam-450	88	11	i	i	PRON
ejpam-450	88	12	,	,	PUNCT
ejpam-450	88	13	j+1st	j+1st	ADJ
ejpam-450	88	14	i+1	i+1	ADV
ejpam-450	88	15	,	,	PUNCT
ejpam-450	88	16	j	j	PROPN
ejpam-450	88	17	⊕λ15st	⊕λ15st	PROPN
ejpam-450	88	18	i−1	i−1	PROPN
ejpam-450	88	19	,	,	PUNCT
ejpam-450	88	20	js	js	PROPN
ejpam-450	88	21	t	t	PROPN
ejpam-450	89	1	i	i	PRON
ejpam-450	89	2	,	,	PUNCT
ejpam-450	89	3	j−1st	j−1st	PROPN
ejpam-450	89	4	i	i	PRON
ejpam-450	89	5	,	,	PUNCT
ejpam-450	89	6	j+1st	j+1st	ADJ
ejpam-450	89	7	i+1	i+1	ADP
ejpam-450	89	8	,	,	PUNCT
ejpam-450	89	9	j	j	PROPN
ejpam-450	89	10	,	,	PUNCT
ejpam-450	89	11	then	then	ADV
ejpam-450	89	12	the	the	DET
ejpam-450	89	13	ca	ca	NOUN
ejpam-450	89	14	can	can	AUX
ejpam-450	89	15	be	be	AUX
ejpam-450	89	16	indexed	index	VERB
ejpam-450	89	17	by	by	ADP
ejpam-450	89	18	the	the	DET
ejpam-450	89	19	following	follow	VERB
ejpam-450	89	20	rule	rule	NOUN
ejpam-450	89	21	number	number	NOUN
ejpam-450	89	22	:	:	PUNCT
ejpam-450	90	1	w	w	X
ejpam-450	90	2	=	=	SYM
ejpam-450	90	3	15∑	15∑	PRON
ejpam-450	90	4	k=0	k=0	X
ejpam-450	90	5	λk2k	λk2k	PROPN
ejpam-450	90	6	.	.	PUNCT
ejpam-450	91	1	(	(	PUNCT
ejpam-450	91	2	10	10	NUM
ejpam-450	91	3	)	)	PUNCT
ejpam-450	91	4	4	4	NUM
ejpam-450	91	5	.	.	PUNCT
ejpam-450	92	1	the	the	DET
ejpam-450	92	2	cryptographic	cryptographic	ADJ
ejpam-450	92	3	properties	property	NOUN
ejpam-450	92	4	of	of	ADP
ejpam-450	92	5	boolean	boolean	ADJ
ejpam-450	92	6	functions	function	NOUN
ejpam-450	92	7	as	as	SCONJ
ejpam-450	92	8	is	be	AUX
ejpam-450	92	9	mentioned	mention	VERB
ejpam-450	92	10	in	in	ADP
ejpam-450	92	11	the	the	DET
ejpam-450	92	12	introduction	introduction	NOUN
ejpam-450	92	13	,	,	PUNCT
ejpam-450	92	14	the	the	DET
ejpam-450	92	15	suitable	suitable	ADJ
ejpam-450	92	16	boolean	boolean	ADJ
ejpam-450	92	17	functions	function	NOUN
ejpam-450	92	18	for	for	ADP
ejpam-450	92	19	cryptographic	cryptographic	ADJ
ejpam-450	92	20	uses	use	NOUN
ejpam-450	92	21	must	must	AUX
ejpam-450	92	22	satisfy	satisfy	VERB
ejpam-450	92	23	some	some	DET
ejpam-450	92	24	properties	property	NOUN
ejpam-450	92	25	.	.	PUNCT
ejpam-450	93	1	in	in	ADP
ejpam-450	93	2	this	this	DET
ejpam-450	93	3	sense	sense	NOUN
ejpam-450	93	4	the	the	DET
ejpam-450	93	5	most	most	ADV
ejpam-450	93	6	important	important	ADJ
ejpam-450	93	7	cryptographic	cryptographic	ADJ
ejpam-450	93	8	criteria	criterion	NOUN
ejpam-450	93	9	for	for	ADP
ejpam-450	93	10	boolean	boolean	ADJ
ejpam-450	93	11	functions	function	NOUN
ejpam-450	93	12	are	be	AUX
ejpam-450	93	13	the	the	DET
ejpam-450	93	14	algebraic	algebraic	ADJ
ejpam-450	93	15	degree	degree	NOUN
ejpam-450	93	16	,	,	PUNCT
ejpam-450	93	17	the	the	DET
ejpam-450	93	18	balancedness	balancedness	NOUN
ejpam-450	93	19	,	,	PUNCT
ejpam-450	93	20	the	the	DET
ejpam-450	93	21	resiliency	resiliency	NOUN
ejpam-450	93	22	,	,	PUNCT
ejpam-450	93	23	the	the	DET
ejpam-450	93	24	nonlinearity	nonlinearity	NOUN
ejpam-450	93	25	,	,	PUNCT
ejpam-450	93	26	the	the	DET
ejpam-450	93	27	propagation	propagation	NOUN
ejpam-450	93	28	criterion	criterion	NOUN
ejpam-450	93	29	and	and	CCONJ
ejpam-450	93	30	the	the	DET
ejpam-450	93	31	non	non	NOUN
ejpam-450	93	32	-	-	NOUN
ejpam-450	93	33	existence	existence	NOUN
ejpam-450	93	34	of	of	ADP
ejpam-450	93	35	nonzero	nonzero	PROPN
ejpam-450	93	36	linear	linear	PROPN
ejpam-450	93	37	structures	structure	NOUN
ejpam-450	93	38	.	.	PUNCT
ejpam-450	94	1	obviously	obviously	ADV
ejpam-450	94	2	,	,	PUNCT
ejpam-450	94	3	all	all	PRON
ejpam-450	94	4	of	of	ADP
ejpam-450	94	5	these	these	DET
ejpam-450	94	6	characteristics	characteristic	NOUN
ejpam-450	94	7	can	can	AUX
ejpam-450	94	8	not	not	PART
ejpam-450	94	9	be	be	AUX
ejpam-450	94	10	optimum	optimum	ADJ
ejpam-450	94	11	at	at	ADP
ejpam-450	94	12	the	the	DET
ejpam-450	94	13	same	same	ADJ
ejpam-450	94	14	time	time	NOUN
ejpam-450	94	15	and	and	CCONJ
ejpam-450	94	16	consequently	consequently	ADV
ejpam-450	94	17	trade	trade	NOUN
ejpam-450	94	18	-	-	PUNCT
ejpam-450	94	19	offs	off	NOUN
ejpam-450	94	20	must	must	AUX
ejpam-450	94	21	be	be	AUX
ejpam-450	94	22	taken	take	VERB
ejpam-450	94	23	into	into	ADP
ejpam-450	94	24	account	account	NOUN
ejpam-450	94	25	.	.	PUNCT
ejpam-450	95	1	in	in	ADP
ejpam-450	95	2	what	what	PRON
ejpam-450	95	3	follows	follow	VERB
ejpam-450	95	4	,	,	PUNCT
ejpam-450	95	5	we	we	PRON
ejpam-450	95	6	describe	describe	VERB
ejpam-450	95	7	the	the	DET
ejpam-450	95	8	mentioned	mention	VERB
ejpam-450	95	9	properties	property	NOUN
ejpam-450	95	10	:	:	PUNCT
ejpam-450	95	11	j.	j.	PROPN
ejpam-450	95	12	escuadra	escuadra	PROPN
ejpam-450	95	13	,	,	PUNCT
ejpam-450	95	14	a.	a.	PROPN
ejpam-450	95	15	martín	martín	PROPN
ejpam-450	95	16	del	del	PROPN
ejpam-450	95	17	rey	rey	PROPN
ejpam-450	95	18	,	,	PUNCT
ejpam-450	95	19	et	et	NOUN
ejpam-450	95	20	.	.	PUNCT
ejpam-450	96	1	al	al	PROPN
ejpam-450	96	2	.	.	PUNCT
ejpam-450	96	3	/	/	SYM
ejpam-450	96	4	eur	eur	PROPN
ejpam-450	96	5	.	.	PUNCT
ejpam-450	97	1	j.	j.	PROPN
ejpam-450	97	2	pure	pure	PROPN
ejpam-450	97	3	appl	appl	PROPN
ejpam-450	97	4	.	.	PROPN
ejpam-450	97	5	math	math	PROPN
ejpam-450	97	6	,	,	PUNCT
ejpam-450	97	7	3	3	NUM
ejpam-450	97	8	(	(	PUNCT
ejpam-450	97	9	2010	2010	NUM
ejpam-450	97	10	)	)	PUNCT
ejpam-450	97	11	,	,	PUNCT
ejpam-450	97	12	765	765	NUM
ejpam-450	97	13	-	-	SYM
ejpam-450	97	14	778	778	NUM
ejpam-450	97	15	769	769	NUM
ejpam-450	97	16	the	the	DET
ejpam-450	97	17	algebraic	algebraic	ADJ
ejpam-450	97	18	degree	degree	NOUN
ejpam-450	97	19	cryptographic	cryptographic	ADJ
ejpam-450	97	20	n	n	CCONJ
ejpam-450	97	21	-	-	PUNCT
ejpam-450	97	22	variable	variable	ADJ
ejpam-450	97	23	boolean	boolean	ADJ
ejpam-450	97	24	functions	function	NOUN
ejpam-450	97	25	must	must	AUX
ejpam-450	97	26	have	have	VERB
ejpam-450	97	27	high	high	ADJ
ejpam-450	97	28	algebraic	algebraic	ADJ
ejpam-450	97	29	degrees	degree	NOUN
ejpam-450	97	30	since	since	SCONJ
ejpam-450	97	31	otherwise	otherwise	ADV
ejpam-450	97	32	the	the	DET
ejpam-450	97	33	cryptographic	cryptographic	ADJ
ejpam-450	97	34	protocols	protocol	NOUN
ejpam-450	97	35	can	can	AUX
ejpam-450	97	36	be	be	AUX
ejpam-450	97	37	successfully	successfully	ADV
ejpam-450	97	38	cryptanalyzed	cryptanalyze	VERB
ejpam-450	98	1	[	[	PUNCT
ejpam-450	98	2	see	see	NOUN
ejpam-450	98	3	,	,	PUNCT
ejpam-450	98	4	for	for	ADP
ejpam-450	98	5	example	example	NOUN
ejpam-450	98	6	,	,	PUNCT
ejpam-450	98	7	5	5	NUM
ejpam-450	98	8	,	,	PUNCT
ejpam-450	98	9	4	4	NUM
ejpam-450	98	10	,	,	PUNCT
ejpam-450	98	11	12	12	NUM
ejpam-450	98	12	]	]	PUNCT
ejpam-450	98	13	.	.	PUNCT
ejpam-450	99	1	nevertheless	nevertheless	ADV
ejpam-450	99	2	,	,	PUNCT
ejpam-450	99	3	we	we	PRON
ejpam-450	99	4	have	have	VERB
ejpam-450	99	5	to	to	PART
ejpam-450	99	6	take	take	VERB
ejpam-450	99	7	into	into	ADP
ejpam-450	99	8	account	account	NOUN
ejpam-450	99	9	that	that	SCONJ
ejpam-450	99	10	the	the	DET
ejpam-450	99	11	n	n	CCONJ
ejpam-450	99	12	-	-	PUNCT
ejpam-450	99	13	variable	variable	ADJ
ejpam-450	99	14	boolean	boolean	ADJ
ejpam-450	99	15	functions	function	NOUN
ejpam-450	99	16	with	with	ADP
ejpam-450	99	17	algebraic	algebraic	ADJ
ejpam-450	99	18	degrees	degree	NOUN
ejpam-450	99	19	n	n	CCONJ
ejpam-450	99	20	or	or	CCONJ
ejpam-450	99	21	n	n	PRON
ejpam-450	99	22	−	−	PROPN
ejpam-450	99	23	1	1	NUM
ejpam-450	99	24	do	do	AUX
ejpam-450	99	25	not	not	PART
ejpam-450	99	26	optimally	optimally	ADV
ejpam-450	99	27	achieve	achieve	VERB
ejpam-450	99	28	other	other	ADJ
ejpam-450	99	29	cryptographic	cryptographic	ADJ
ejpam-450	99	30	properties	property	NOUN
ejpam-450	99	31	such	such	ADJ
ejpam-450	99	32	as	as	ADP
ejpam-450	99	33	nonlinearity	nonlinearity	NOUN
ejpam-450	99	34	or	or	CCONJ
ejpam-450	99	35	resiliency	resiliency	NOUN
ejpam-450	99	36	.	.	PUNCT
ejpam-450	100	1	balancedness	balancedness	NOUN
ejpam-450	100	2	cryptographic	cryptographic	ADJ
ejpam-450	100	3	boolean	boolean	ADJ
ejpam-450	100	4	functions	function	NOUN
ejpam-450	100	5	must	must	AUX
ejpam-450	100	6	be	be	AUX
ejpam-450	100	7	balanced	balance	VERB
ejpam-450	100	8	,	,	PUNCT
ejpam-450	100	9	that	that	ADV
ejpam-450	100	10	is	is	ADV
ejpam-450	100	11	,	,	PUNCT
ejpam-450	100	12	their	their	PRON
ejpam-450	100	13	outputs	output	NOUN
ejpam-450	100	14	must	must	AUX
ejpam-450	100	15	be	be	AUX
ejpam-450	100	16	uniformly	uniformly	ADV
ejpam-450	100	17	distributed	distribute	VERB
ejpam-450	100	18	over	over	ADP
ejpam-450	100	19	f2	f2	PROPN
ejpam-450	100	20	.	.	PUNCT
ejpam-450	101	1	this	this	DET
ejpam-450	101	2	properties	property	NOUN
ejpam-450	101	3	allows	allow	VERB
ejpam-450	101	4	one	one	NUM
ejpam-450	101	5	to	to	PART
ejpam-450	101	6	avoid	avoid	VERB
ejpam-450	101	7	statistical	statistical	ADJ
ejpam-450	101	8	dependence	dependence	NOUN
ejpam-450	101	9	between	between	ADP
ejpam-450	101	10	the	the	DET
ejpam-450	101	11	input	input	NOUN
ejpam-450	101	12	and	and	CCONJ
ejpam-450	101	13	the	the	DET
ejpam-450	101	14	output	output	NOUN
ejpam-450	101	15	,	,	PUNCT
ejpam-450	101	16	that	that	PRON
ejpam-450	101	17	can	can	AUX
ejpam-450	101	18	be	be	AUX
ejpam-450	101	19	used	use	VERB
ejpam-450	101	20	in	in	ADP
ejpam-450	101	21	some	some	DET
ejpam-450	101	22	types	type	NOUN
ejpam-450	101	23	of	of	ADP
ejpam-450	101	24	cryptanalytic	cryptanalytic	ADJ
ejpam-450	101	25	attacks	attack	NOUN
ejpam-450	101	26	.	.	PUNCT
ejpam-450	102	1	resiliency	resiliency	NOUN
ejpam-450	102	2	there	there	PRON
ejpam-450	102	3	is	be	VERB
ejpam-450	102	4	an	an	DET
ejpam-450	102	5	additional	additional	ADJ
ejpam-450	102	6	condition	condition	NOUN
ejpam-450	102	7	to	to	ADP
ejpam-450	102	8	balancedness	balancedness	NOUN
ejpam-450	102	9	with	with	ADP
ejpam-450	102	10	special	special	ADJ
ejpam-450	102	11	importance	importance	NOUN
ejpam-450	102	12	in	in	ADP
ejpam-450	102	13	the	the	DET
ejpam-450	102	14	case	case	NOUN
ejpam-450	102	15	of	of	ADP
ejpam-450	102	16	the	the	DET
ejpam-450	102	17	design	design	NOUN
ejpam-450	102	18	of	of	ADP
ejpam-450	102	19	stream	stream	NOUN
ejpam-450	102	20	ciphers	cipher	NOUN
ejpam-450	102	21	:	:	PUNCT
ejpam-450	102	22	the	the	DET
ejpam-450	102	23	m	m	NOUN
ejpam-450	102	24	-	-	NOUN
ejpam-450	102	25	resiliency	resiliency	NOUN
ejpam-450	102	26	.	.	PUNCT
ejpam-450	103	1	an	an	DET
ejpam-450	103	2	n	n	CCONJ
ejpam-450	103	3	-variable	-variable	ADJ
ejpam-450	103	4	boolean	boolean	ADJ
ejpam-450	103	5	function	function	NOUN
ejpam-450	103	6	f	f	PROPN
ejpam-450	103	7	is	be	AUX
ejpam-450	103	8	said	say	VERB
ejpam-450	103	9	to	to	PART
ejpam-450	103	10	be	be	AUX
ejpam-450	103	11	m	m	NOUN
ejpam-450	103	12	-	-	NOUN
ejpam-450	103	13	resilient	resilient	ADJ
ejpam-450	103	14	if	if	SCONJ
ejpam-450	103	15	it	it	PRON
ejpam-450	103	16	is	be	AUX
ejpam-450	103	17	a	a	DET
ejpam-450	103	18	balanced	balanced	ADJ
ejpam-450	103	19	function	function	NOUN
ejpam-450	103	20	when	when	SCONJ
ejpam-450	103	21	we	we	PRON
ejpam-450	103	22	keep	keep	VERB
ejpam-450	103	23	constant	constant	ADJ
ejpam-450	103	24	0	0	NUM
ejpam-450	103	25	<	<	X
ejpam-450	103	26	m	m	VERB
ejpam-450	103	27	≤	≤	NOUN
ejpam-450	104	1	n	n	NUM
ejpam-450	104	2	variables	variable	NOUN
ejpam-450	104	3	.	.	PUNCT
ejpam-450	105	1	if	if	SCONJ
ejpam-450	105	2	a	a	DET
ejpam-450	105	3	boolean	boolean	ADJ
ejpam-450	105	4	function	function	NOUN
ejpam-450	105	5	is	be	AUX
ejpam-450	105	6	not	not	PART
ejpam-450	105	7	m	m	NOUN
ejpam-450	105	8	-	-	NOUN
ejpam-450	105	9	resilient	resilient	ADJ
ejpam-450	105	10	then	then	ADV
ejpam-450	105	11	there	there	PRON
ejpam-450	105	12	exists	exist	VERB
ejpam-450	105	13	a	a	DET
ejpam-450	105	14	correlation	correlation	NOUN
ejpam-450	105	15	between	between	ADP
ejpam-450	105	16	the	the	DET
ejpam-450	105	17	output	output	NOUN
ejpam-450	105	18	of	of	ADP
ejpam-450	105	19	the	the	DET
ejpam-450	105	20	function	function	NOUN
ejpam-450	105	21	and	and	CCONJ
ejpam-450	105	22	(	(	PUNCT
ejpam-450	105	23	at	at	ADP
ejpam-450	105	24	most	most	ADJ
ejpam-450	105	25	)	)	PUNCT
ejpam-450	105	26	m	m	VERB
ejpam-450	105	27	coordinates	coordinate	NOUN
ejpam-450	105	28	of	of	ADP
ejpam-450	105	29	its	its	PRON
ejpam-450	105	30	input	input	NOUN
ejpam-450	105	31	(	(	PUNCT
ejpam-450	105	32	correlation	correlation	NOUN
ejpam-450	105	33	attack	attack	NOUN
ejpam-450	105	34	)	)	PUNCT
ejpam-450	105	35	.	.	PUNCT
ejpam-450	106	1	g.z	g.z	PROPN
ejpam-450	106	2	.	.	PROPN
ejpam-450	106	3	xiao	xiao	PROPN
ejpam-450	106	4	and	and	CCONJ
ejpam-450	106	5	j.l	j.l	PROPN
ejpam-450	106	6	.	.	PROPN
ejpam-450	106	7	massey	massey	PROPN
ejpam-450	106	8	characterized	characterize	VERB
ejpam-450	106	9	the	the	DET
ejpam-450	106	10	resiliency	resiliency	NOUN
ejpam-450	106	11	by	by	ADP
ejpam-450	106	12	means	mean	NOUN
ejpam-450	106	13	of	of	ADP
ejpam-450	106	14	the	the	DET
ejpam-450	106	15	discrete	discrete	ADJ
ejpam-450	106	16	fourier	fourier	NOUN
ejpam-450	106	17	transformation	transformation	NOUN
ejpam-450	106	18	[	[	X
ejpam-450	106	19	see	see	VERB
ejpam-450	106	20	15	15	NUM
ejpam-450	106	21	]	]	NOUN
ejpam-450	106	22	:	:	PUNCT
ejpam-450	106	23	theorem	theorem	NOUN
ejpam-450	106	24	1	1	NUM
ejpam-450	106	25	.	.	PUNCT
ejpam-450	107	1	an	an	DET
ejpam-450	107	2	n	n	CCONJ
ejpam-450	107	3	-	-	PUNCT
ejpam-450	107	4	variable	variable	ADJ
ejpam-450	107	5	boolean	boolean	ADJ
ejpam-450	107	6	function	function	NOUN
ejpam-450	107	7	f	f	PROPN
ejpam-450	107	8	is	be	AUX
ejpam-450	107	9	m	m	NOUN
ejpam-450	107	10	-	-	ADJ
ejpam-450	107	11	resilient	resilient	ADJ
ejpam-450	107	12	if	if	SCONJ
ejpam-450	108	1	and	and	CCONJ
ejpam-450	108	2	only	only	ADV
ejpam-450	108	3	if	if	SCONJ
ejpam-450	108	4	it	it	PRON
ejpam-450	108	5	is	be	AUX
ejpam-450	108	6	balanced	balanced	ADJ
ejpam-450	108	7	and	and	CCONJ
ejpam-450	108	8	f̂	f̂	PROPN
ejpam-450	108	9	(	(	PUNCT
ejpam-450	108	10	u	u	NOUN
ejpam-450	108	11	)	)	PUNCT
ejpam-450	108	12	=	=	SYM
ejpam-450	108	13	0	0	NUM
ejpam-450	108	14	for	for	ADP
ejpam-450	108	15	all	all	DET
ejpam-450	108	16	u	u	NOUN
ejpam-450	108	17	∈	∈	NOUN
ejpam-450	108	18	fn	fn	NOUN
ejpam-450	108	19	2	2	NUM
ejpam-450	108	20	such	such	ADJ
ejpam-450	108	21	that	that	SCONJ
ejpam-450	108	22	0	0	NUM
ejpam-450	108	23	<	<	X
ejpam-450	108	24	wh	wh	X
ejpam-450	108	25	(	(	PUNCT
ejpam-450	108	26	u)≤	u)≤	PART
ejpam-450	108	27	m.	m.	VERB
ejpam-450	108	28	the	the	DET
ejpam-450	108	29	nonlinearity	nonlinearity	NOUN
ejpam-450	108	30	cryptographic	cryptographic	ADJ
ejpam-450	108	31	boolean	boolean	ADJ
ejpam-450	108	32	functions	function	NOUN
ejpam-450	108	33	must	must	AUX
ejpam-450	108	34	lie	lie	VERB
ejpam-450	108	35	at	at	ADP
ejpam-450	108	36	large	large	ADJ
ejpam-450	108	37	hamming	hamming	NOUN
ejpam-450	108	38	distance	distance	NOUN
ejpam-450	108	39	to	to	ADP
ejpam-450	108	40	all	all	DET
ejpam-450	108	41	affine	affine	ADJ
ejpam-450	108	42	boolean	boolean	ADJ
ejpam-450	108	43	functions	function	NOUN
ejpam-450	108	44	.	.	PUNCT
ejpam-450	109	1	the	the	DET
ejpam-450	109	2	nonlinearity	nonlinearity	NOUN
ejpam-450	109	3	of	of	ADP
ejpam-450	109	4	an	an	DET
ejpam-450	109	5	n	n	CCONJ
ejpam-450	109	6	-	-	PUNCT
ejpam-450	109	7	variable	variable	ADJ
ejpam-450	109	8	boolean	boolean	ADJ
ejpam-450	109	9	function	function	NOUN
ejpam-450	109	10	f	f	PROPN
ejpam-450	109	11	is	be	AUX
ejpam-450	109	12	defined	define	VERB
ejpam-450	109	13	as	as	ADP
ejpam-450	109	14	n	n	ADP
ejpam-450	109	15	l	l	NOUN
ejpam-450	109	16	�	�	PROPN
ejpam-450	109	17	f	f	PROPN
ejpam-450	109	18	�	�	PROPN
ejpam-450	109	19	=	=	SYM
ejpam-450	109	20	min	min	PROPN
ejpam-450	109	21	a∈fn	a∈fn	PROPN
ejpam-450	109	22	2	2	NUM
ejpam-450	109	23	�	�	PROPN
ejpam-450	109	24	dh	dh	PROPN
ejpam-450	109	25	�	�	PROPN
ejpam-450	109	26	f	f	PROPN
ejpam-450	109	27	,	,	PUNCT
ejpam-450	109	28	la	la	PROPN
ejpam-450	109	29	�	�	PROPN
ejpam-450	109	30	;	;	PUNCT
ejpam-450	109	31	(	(	PUNCT
ejpam-450	109	32	11	11	NUM
ejpam-450	109	33	)	)	PUNCT
ejpam-450	109	34	in	in	ADP
ejpam-450	109	35	this	this	DET
ejpam-450	109	36	sense	sense	NOUN
ejpam-450	109	37	,	,	PUNCT
ejpam-450	109	38	a	a	DET
ejpam-450	109	39	boolean	boolean	ADJ
ejpam-450	109	40	function	function	NOUN
ejpam-450	109	41	will	will	AUX
ejpam-450	109	42	be	be	AUX
ejpam-450	109	43	considered	consider	VERB
ejpam-450	109	44	as	as	ADP
ejpam-450	109	45	highly	highly	ADV
ejpam-450	109	46	nonlinear	nonlinear	ADJ
ejpam-450	109	47	if	if	SCONJ
ejpam-450	109	48	its	its	PRON
ejpam-450	109	49	nonlinearity	nonlinearity	NOUN
ejpam-450	109	50	is	be	AUX
ejpam-450	109	51	near	near	ADP
ejpam-450	109	52	2n	2n	NUM
ejpam-450	109	53	.	.	PUNCT
ejpam-450	110	1	it	it	PRON
ejpam-450	110	2	is	be	AUX
ejpam-450	110	3	shown	show	VERB
ejpam-450	110	4	that	that	SCONJ
ejpam-450	110	5	n	n	NUM
ejpam-450	110	6	l	l	NOUN
ejpam-450	110	7	�	�	PROPN
ejpam-450	110	8	f	f	PROPN
ejpam-450	110	9	�	�	PROPN
ejpam-450	110	10	≤	≤	PROPN
ejpam-450	110	11	2n−1	2n−1	NUM
ejpam-450	110	12	−	−	NOUN
ejpam-450	110	13	2n/2−1	2n/2−1	NOUN
ejpam-450	110	14	,	,	PUNCT
ejpam-450	110	15	and	and	CCONJ
ejpam-450	110	16	if	if	SCONJ
ejpam-450	110	17	the	the	DET
ejpam-450	110	18	equality	equality	NOUN
ejpam-450	110	19	holds	hold	VERB
ejpam-450	110	20	,	,	PUNCT
ejpam-450	110	21	f	f	PROPN
ejpam-450	110	22	is	be	AUX
ejpam-450	110	23	called	call	VERB
ejpam-450	110	24	bent	bent	ADJ
ejpam-450	110	25	function	function	NOUN
ejpam-450	110	26	.	.	PUNCT
ejpam-450	111	1	note	note	VERB
ejpam-450	111	2	that	that	SCONJ
ejpam-450	111	3	if	if	SCONJ
ejpam-450	111	4	n	n	NOUN
ejpam-450	111	5	is	be	AUX
ejpam-450	111	6	odd	odd	ADJ
ejpam-450	111	7	the	the	DET
ejpam-450	111	8	last	last	ADJ
ejpam-450	111	9	inequality	inequality	NOUN
ejpam-450	111	10	for	for	ADP
ejpam-450	111	11	n	n	ADP
ejpam-450	111	12	l	l	NOUN
ejpam-450	111	13	�	�	PROPN
ejpam-450	111	14	f	f	PROPN
ejpam-450	111	15	�	�	PROPN
ejpam-450	111	16	can	can	AUX
ejpam-450	111	17	not	not	PART
ejpam-450	111	18	be	be	AUX
ejpam-450	111	19	an	an	DET
ejpam-450	111	20	equality	equality	NOUN
ejpam-450	111	21	and	and	CCONJ
ejpam-450	111	22	in	in	ADP
ejpam-450	111	23	this	this	DET
ejpam-450	111	24	case	case	NOUN
ejpam-450	112	1	n	n	NUM
ejpam-450	112	2	l	l	NOUN
ejpam-450	112	3	�	�	PROPN
ejpam-450	112	4	f	f	PROPN
ejpam-450	112	5	�	�	PROPN
ejpam-450	112	6	≤	≤	PROPN
ejpam-450	112	7	2n−1	2n−1	NUM
ejpam-450	112	8	−	−	NUM
ejpam-450	112	9	2	2	NUM
ejpam-450	112	10	n−1	n−1	PROPN
ejpam-450	112	11	2	2	NUM
ejpam-450	112	12	.	.	PUNCT
ejpam-450	113	1	the	the	DET
ejpam-450	113	2	bent	bent	ADJ
ejpam-450	113	3	functions	function	NOUN
ejpam-450	113	4	that	that	PRON
ejpam-450	113	5	are	be	AUX
ejpam-450	113	6	not	not	PART
ejpam-450	113	7	balanced	balanced	ADJ
ejpam-450	113	8	are	be	AUX
ejpam-450	113	9	not	not	PART
ejpam-450	113	10	suitable	suitable	ADJ
ejpam-450	113	11	for	for	ADP
ejpam-450	113	12	cryptographic	cryptographic	ADJ
ejpam-450	113	13	purposes	purpose	NOUN
ejpam-450	113	14	.	.	PUNCT
ejpam-450	114	1	as	as	ADP
ejpam-450	114	2	a	a	DET
ejpam-450	114	3	consequence	consequence	NOUN
ejpam-450	114	4	it	it	PRON
ejpam-450	114	5	is	be	AUX
ejpam-450	114	6	necessary	necessary	ADJ
ejpam-450	114	7	to	to	PART
ejpam-450	114	8	study	study	VERB
ejpam-450	114	9	the	the	DET
ejpam-450	114	10	n	n	CCONJ
ejpam-450	114	11	-	-	PUNCT
ejpam-450	114	12	variable	variable	ADJ
ejpam-450	114	13	boolean	boolean	ADJ
ejpam-450	114	14	functions	function	NOUN
ejpam-450	114	15	which	which	PRON
ejpam-450	114	16	have	have	VERB
ejpam-450	114	17	large	large	ADJ
ejpam-450	114	18	but	but	CCONJ
ejpam-450	114	19	not	not	PART
ejpam-450	114	20	optimal	optimal	ADJ
ejpam-450	114	21	nonlinearities	nonlinearitie	NOUN
ejpam-450	114	22	,	,	PUNCT
ejpam-450	114	23	say	say	VERB
ejpam-450	114	24	between	between	ADP
ejpam-450	114	25	2n−1	2n−1	NUM
ejpam-450	114	26	−	−	NUM
ejpam-450	114	27	2	2	NUM
ejpam-450	114	28	n−1	n−1	PROPN
ejpam-450	114	29	2	2	NUM
ejpam-450	114	30	and	and	CCONJ
ejpam-450	114	31	2n−1	2n−1	NUM
ejpam-450	114	32	−	−	NOUN
ejpam-450	114	33	2n/2−1	2n/2−1	NOUN
ejpam-450	114	34	,	,	PUNCT
ejpam-450	114	35	among	among	ADP
ejpam-450	114	36	which	which	PRON
ejpam-450	114	37	some	some	DET
ejpam-450	114	38	balanced	balanced	ADJ
ejpam-450	114	39	functions	function	NOUN
ejpam-450	114	40	exist	exist	VERB
ejpam-450	114	41	.	.	PUNCT
ejpam-450	115	1	the	the	DET
ejpam-450	115	2	propagation	propagation	NOUN
ejpam-450	115	3	criterion	criterion	NOUN
ejpam-450	115	4	(	(	PUNCT
ejpam-450	115	5	pc	pc	NOUN
ejpam-450	115	6	)	)	PUNCT
ejpam-450	115	7	in	in	ADP
ejpam-450	115	8	order	order	NOUN
ejpam-450	115	9	to	to	PART
ejpam-450	115	10	assure	assure	VERB
ejpam-450	115	11	well	well	INTJ
ejpam-450	115	12	diffusion	diffusion	NOUN
ejpam-450	115	13	properties	property	NOUN
ejpam-450	115	14	,	,	PUNCT
ejpam-450	115	15	boolean	boolean	ADJ
ejpam-450	115	16	functions	function	NOUN
ejpam-450	115	17	must	must	AUX
ejpam-450	115	18	satisfy	satisfy	VERB
ejpam-450	115	19	the	the	DET
ejpam-450	115	20	propagation	propagation	NOUN
ejpam-450	115	21	criterion	criterion	NOUN
ejpam-450	115	22	.	.	PUNCT
ejpam-450	116	1	this	this	DET
ejpam-450	116	2	criterion	criterion	NOUN
ejpam-450	116	3	was	be	AUX
ejpam-450	116	4	introduced	introduce	VERB
ejpam-450	116	5	by	by	ADP
ejpam-450	116	6	b.	b.	PROPN
ejpam-450	116	7	preneel	preneel	PROPN
ejpam-450	116	8	et	et	PROPN
ejpam-450	116	9	al	al	PROPN
ejpam-450	116	10	.	.	PUNCT
ejpam-450	117	1	[	[	X
ejpam-450	117	2	see	see	VERB
ejpam-450	117	3	11	11	NUM
ejpam-450	117	4	]	]	PUNCT
ejpam-450	117	5	and	and	CCONJ
ejpam-450	117	6	it	it	PRON
ejpam-450	117	7	is	be	AUX
ejpam-450	117	8	based	base	VERB
ejpam-450	117	9	on	on	ADP
ejpam-450	117	10	the	the	DET
ejpam-450	117	11	properties	property	NOUN
ejpam-450	117	12	of	of	ADP
ejpam-450	117	13	the	the	DET
ejpam-450	117	14	derivatives	derivative	NOUN
ejpam-450	117	15	of	of	ADP
ejpam-450	117	16	boolean	boolean	ADJ
ejpam-450	117	17	functions	function	NOUN
ejpam-450	117	18	that	that	PRON
ejpam-450	117	19	gives	give	VERB
ejpam-450	117	20	the	the	DET
ejpam-450	117	21	behaviour	behaviour	NOUN
ejpam-450	117	22	of	of	ADP
ejpam-450	117	23	such	such	ADJ
ejpam-450	117	24	functions	function	NOUN
ejpam-450	117	25	when	when	SCONJ
ejpam-450	117	26	some	some	DET
ejpam-450	117	27	variables	variable	NOUN
ejpam-450	117	28	of	of	ADP
ejpam-450	117	29	the	the	DET
ejpam-450	117	30	input	input	NOUN
ejpam-450	117	31	are	be	AUX
ejpam-450	117	32	complemented	complement	VERB
ejpam-450	117	33	.	.	PUNCT
ejpam-450	118	1	the	the	DET
ejpam-450	118	2	n	n	CCONJ
ejpam-450	118	3	-	-	PUNCT
ejpam-450	118	4	variable	variable	ADJ
ejpam-450	118	5	boolean	boolean	ADJ
ejpam-450	118	6	function	function	NOUN
ejpam-450	118	7	f	f	PROPN
ejpam-450	118	8	satisfies	satisfy	VERB
ejpam-450	118	9	the	the	DET
ejpam-450	118	10	propagation	propagation	NOUN
ejpam-450	118	11	criterion	criterion	NOUN
ejpam-450	118	12	pc	pc	NOUN
ejpam-450	118	13	with	with	ADP
ejpam-450	118	14	respect	respect	NOUN
ejpam-450	118	15	to	to	ADP
ejpam-450	118	16	b	b	PROPN
ejpam-450	118	17	⊂	⊂	PROPN
ejpam-450	118	18	fn	fn	PROPN
ejpam-450	118	19	2	2	NUM
ejpam-450	118	20	if	if	SCONJ
ejpam-450	118	21	for	for	ADP
ejpam-450	118	22	every	every	DET
ejpam-450	118	23	b	b	PROPN
ejpam-450	118	24	∈	∈	ADP
ejpam-450	118	25	b	b	NOUN
ejpam-450	118	26	the	the	DET
ejpam-450	118	27	derivative	derivative	ADJ
ejpam-450	118	28	function	function	NOUN
ejpam-450	118	29	,	,	PUNCT
ejpam-450	118	30	db	db	PROPN
ejpam-450	118	31	f	f	X
ejpam-450	118	32	,	,	PUNCT
ejpam-450	118	33	is	be	AUX
ejpam-450	118	34	balanced	balanced	ADJ
ejpam-450	118	35	.	.	PUNCT
ejpam-450	119	1	moreover	moreover	ADV
ejpam-450	119	2	,	,	PUNCT
ejpam-450	119	3	the	the	DET
ejpam-450	119	4	boolean	boolean	ADJ
ejpam-450	119	5	function	function	NOUN
ejpam-450	119	6	f	f	PROPN
ejpam-450	119	7	j.	j.	PROPN
ejpam-450	119	8	escuadra	escuadra	PROPN
ejpam-450	119	9	,	,	PUNCT
ejpam-450	119	10	a.	a.	PROPN
ejpam-450	119	11	martín	martín	PROPN
ejpam-450	119	12	del	del	PROPN
ejpam-450	119	13	rey	rey	PROPN
ejpam-450	119	14	,	,	PUNCT
ejpam-450	119	15	et	et	NOUN
ejpam-450	119	16	.	.	PUNCT
ejpam-450	120	1	al	al	PROPN
ejpam-450	120	2	.	.	PUNCT
ejpam-450	120	3	/	/	SYM
ejpam-450	120	4	eur	eur	PROPN
ejpam-450	120	5	.	.	PUNCT
ejpam-450	121	1	j.	j.	PROPN
ejpam-450	121	2	pure	pure	PROPN
ejpam-450	121	3	appl	appl	PROPN
ejpam-450	121	4	.	.	PROPN
ejpam-450	121	5	math	math	PROPN
ejpam-450	121	6	,	,	PUNCT
ejpam-450	121	7	3	3	NUM
ejpam-450	121	8	(	(	PUNCT
ejpam-450	121	9	2010	2010	NUM
ejpam-450	121	10	)	)	PUNCT
ejpam-450	121	11	,	,	PUNCT
ejpam-450	121	12	765	765	NUM
ejpam-450	121	13	-	-	SYM
ejpam-450	121	14	778	778	NUM
ejpam-450	121	15	770	770	NUM
ejpam-450	121	16	satisfies	satisfie	NOUN
ejpam-450	121	17	pc	pc	NOUN
ejpam-450	121	18	(	(	PUNCT
ejpam-450	121	19	k	k	X
ejpam-450	121	20	)	)	PUNCT
ejpam-450	121	21	if	if	SCONJ
ejpam-450	121	22	it	it	PRON
ejpam-450	121	23	satisfies	satisfy	VERB
ejpam-450	121	24	pc	pc	VERB
ejpam-450	121	25	with	with	ADP
ejpam-450	121	26	respect	respect	NOUN
ejpam-450	121	27	to	to	ADP
ejpam-450	121	28	the	the	DET
ejpam-450	121	29	set	set	PROPN
ejpam-450	121	30	w	w	PROPN
ejpam-450	121	31	(	(	PUNCT
ejpam-450	121	32	k	k	NOUN
ejpam-450	121	33	)	)	PUNCT
ejpam-450	121	34	=	=	SYM
ejpam-450	122	1	¦	¦	PROPN
ejpam-450	122	2	b	b	X
ejpam-450	122	3	∈	∈	PROPN
ejpam-450	122	4	fn	fn	NOUN
ejpam-450	122	5	2	2	NUM
ejpam-450	122	6	−	−	NOUN
ejpam-450	122	7	{	{	PUNCT
ejpam-450	122	8	0	0	NUM
ejpam-450	122	9	}	}	PUNCT
ejpam-450	122	10	such	such	ADJ
ejpam-450	122	11	that	that	DET
ejpam-450	122	12	wh	wh	PROPN
ejpam-450	122	13	(	(	PUNCT
ejpam-450	122	14	b)≤	b)≤	X
ejpam-450	122	15	k	k	PROPN
ejpam-450	122	16	©	©	PROPN
ejpam-450	122	17	.	.	PUNCT
ejpam-450	123	1	(	(	PUNCT
ejpam-450	123	2	12	12	NUM
ejpam-450	123	3	)	)	PUNCT
ejpam-450	123	4	the	the	DET
ejpam-450	123	5	strict	strict	ADJ
ejpam-450	123	6	avalanche	avalanche	NOUN
ejpam-450	123	7	criterion	criterion	NOUN
ejpam-450	123	8	(	(	PUNCT
ejpam-450	123	9	sac	sac	NOUN
ejpam-450	123	10	)	)	PUNCT
ejpam-450	123	11	introduced	introduce	VERB
ejpam-450	123	12	by	by	ADP
ejpam-450	123	13	webster	webster	PROPN
ejpam-450	123	14	and	and	CCONJ
ejpam-450	123	15	tavares	tavare	NOUN
ejpam-450	123	16	in	in	ADP
ejpam-450	123	17	[	[	X
ejpam-450	123	18	13	13	NUM
ejpam-450	123	19	]	]	PUNCT
ejpam-450	123	20	is	be	AUX
ejpam-450	123	21	the	the	DET
ejpam-450	123	22	particular	particular	ADJ
ejpam-450	123	23	case	case	NOUN
ejpam-450	123	24	of	of	ADP
ejpam-450	123	25	pc	pc	NOUN
ejpam-450	123	26	for	for	ADP
ejpam-450	123	27	k	k	PROPN
ejpam-450	123	28	=	=	SYM
ejpam-450	123	29	1	1	X
ejpam-450	123	30	.	.	PUNCT
ejpam-450	123	31	non	non	ADJ
ejpam-450	123	32	-	-	NOUN
ejpam-450	123	33	existence	existence	NOUN
ejpam-450	123	34	of	of	ADP
ejpam-450	123	35	nonzero	nonzero	PROPN
ejpam-450	123	36	linear	linear	PROPN
ejpam-450	123	37	structure	structure	NOUN
ejpam-450	123	38	nonlinear	nonlinear	PROPN
ejpam-450	123	39	n	n	CCONJ
ejpam-450	123	40	-	-	PUNCT
ejpam-450	123	41	variable	variable	ADJ
ejpam-450	123	42	boolean	boolean	ADJ
ejpam-450	123	43	functions	function	NOUN
ejpam-450	123	44	with	with	ADP
ejpam-450	123	45	applications	application	NOUN
ejpam-450	123	46	in	in	ADP
ejpam-450	123	47	cryptography	cryptography	NOUN
ejpam-450	123	48	(	(	PUNCT
ejpam-450	123	49	specially	specially	ADV
ejpam-450	123	50	in	in	ADP
ejpam-450	123	51	block	block	NOUN
ejpam-450	123	52	ciphers	cipher	NOUN
ejpam-450	123	53	)	)	PUNCT
ejpam-450	123	54	should	should	AUX
ejpam-450	123	55	have	have	VERB
ejpam-450	123	56	not	not	PART
ejpam-450	123	57	nonzero	nonzero	ADJ
ejpam-450	123	58	linear	linear	ADJ
ejpam-450	123	59	structures	structure	NOUN
ejpam-450	123	60	[	[	X
ejpam-450	123	61	see	see	VERB
ejpam-450	123	62	2	2	NUM
ejpam-450	123	63	]	]	PUNCT
ejpam-450	123	64	.	.	PUNCT
ejpam-450	124	1	5	5	X
ejpam-450	124	2	.	.	X
ejpam-450	124	3	analysis	analysis	NOUN
ejpam-450	124	4	of	of	ADP
ejpam-450	124	5	the	the	DET
ejpam-450	124	6	cryptographic	cryptographic	ADJ
ejpam-450	124	7	properties	property	NOUN
ejpam-450	124	8	of	of	ADP
ejpam-450	124	9	ca	ca	NOUN
ejpam-450	124	10	in	in	ADP
ejpam-450	124	11	what	what	PRON
ejpam-450	124	12	follows	follow	VERB
ejpam-450	124	13	we	we	PRON
ejpam-450	124	14	will	will	AUX
ejpam-450	124	15	test	test	VERB
ejpam-450	124	16	the	the	DET
ejpam-450	124	17	cryptographic	cryptographic	ADJ
ejpam-450	124	18	properties	property	NOUN
ejpam-450	124	19	of	of	ADP
ejpam-450	124	20	local	local	ADJ
ejpam-450	124	21	transition	transition	NOUN
ejpam-450	124	22	functions	function	NOUN
ejpam-450	124	23	of	of	ADP
ejpam-450	124	24	two	two	NUM
ejpam-450	124	25	-	-	PUNCT
ejpam-450	124	26	dimensional	dimensional	ADJ
ejpam-450	124	27	cellular	cellular	ADJ
ejpam-450	124	28	automata	automata	NOUN
ejpam-450	124	29	with	with	ADP
ejpam-450	124	30	von	von	PROPN
ejpam-450	124	31	neumann	neumann	PROPN
ejpam-450	124	32	neighborhoods	neighborhoods	PROPN
ejpam-450	124	33	,	,	PUNCT
ejpam-450	124	34	and	and	CCONJ
ejpam-450	124	35	the	the	DET
ejpam-450	124	36	results	result	NOUN
ejpam-450	124	37	obtained	obtain	VERB
ejpam-450	124	38	will	will	AUX
ejpam-450	124	39	be	be	AUX
ejpam-450	124	40	analyzed	analyze	VERB
ejpam-450	124	41	.	.	PUNCT
ejpam-450	125	1	as	as	SCONJ
ejpam-450	125	2	the	the	DET
ejpam-450	125	3	number	number	NOUN
ejpam-450	125	4	of	of	ADP
ejpam-450	125	5	two	two	NUM
ejpam-450	125	6	-	-	PUNCT
ejpam-450	125	7	dimensional	dimensional	ADJ
ejpam-450	125	8	cellular	cellular	ADJ
ejpam-450	125	9	automata	automata	NOUN
ejpam-450	125	10	satisfying	satisfy	VERB
ejpam-450	125	11	some	some	DET
ejpam-450	125	12	cryptographic	cryptographic	ADJ
ejpam-450	125	13	properties	property	NOUN
ejpam-450	125	14	is	be	AUX
ejpam-450	125	15	too	too	ADV
ejpam-450	125	16	high	high	ADJ
ejpam-450	125	17	(	(	PUNCT
ejpam-450	125	18	for	for	ADP
ejpam-450	125	19	example	example	NOUN
ejpam-450	125	20	,	,	PUNCT
ejpam-450	125	21	as	as	SCONJ
ejpam-450	125	22	is	be	AUX
ejpam-450	125	23	mentioned	mention	VERB
ejpam-450	125	24	below	below	ADV
ejpam-450	125	25	,	,	PUNCT
ejpam-450	125	26	the	the	DET
ejpam-450	125	27	number	number	NOUN
ejpam-450	125	28	of	of	ADP
ejpam-450	125	29	balanced	balanced	ADJ
ejpam-450	125	30	rules	rule	NOUN
ejpam-450	125	31	is	be	AUX
ejpam-450	125	32	12,870	12,870	NUM
ejpam-450	125	33	)	)	PUNCT
ejpam-450	125	34	,	,	PUNCT
ejpam-450	125	35	it	it	PRON
ejpam-450	125	36	is	be	AUX
ejpam-450	125	37	impossible	impossible	ADJ
ejpam-450	125	38	to	to	PART
ejpam-450	125	39	be	be	AUX
ejpam-450	125	40	listed	list	VERB
ejpam-450	125	41	all	all	DET
ejpam-450	125	42	their	their	PRON
ejpam-450	125	43	rule	rule	NOUN
ejpam-450	125	44	numbers	number	NOUN
ejpam-450	125	45	in	in	ADP
ejpam-450	125	46	the	the	DET
ejpam-450	125	47	paper	paper	NOUN
ejpam-450	125	48	.	.	PUNCT
ejpam-450	126	1	as	as	ADP
ejpam-450	126	2	a	a	DET
ejpam-450	126	3	consequence	consequence	NOUN
ejpam-450	126	4	,	,	PUNCT
ejpam-450	126	5	a	a	DET
ejpam-450	126	6	simple	simple	ADJ
ejpam-450	126	7	code	code	NOUN
ejpam-450	126	8	in	in	ADP
ejpam-450	126	9	mathematica	mathematica	PROPN
ejpam-450	126	10	to	to	PART
ejpam-450	126	11	compute	compute	VERB
ejpam-450	126	12	explicitly	explicitly	ADV
ejpam-450	126	13	all	all	DET
ejpam-450	126	14	this	this	PRON
ejpam-450	126	15	ca	ca	NOUN
ejpam-450	126	16	is	be	AUX
ejpam-450	126	17	included	include	VERB
ejpam-450	126	18	in	in	ADP
ejpam-450	126	19	the	the	DET
ejpam-450	126	20	appendix	appendix	NOUN
ejpam-450	126	21	.	.	PUNCT
ejpam-450	127	1	the	the	DET
ejpam-450	127	2	algebraic	algebraic	ADJ
ejpam-450	127	3	degree	degree	NOUN
ejpam-450	127	4	in	in	ADP
ejpam-450	127	5	table	table	NOUN
ejpam-450	127	6	1	1	NUM
ejpam-450	127	7	,	,	PUNCT
ejpam-450	127	8	the	the	DET
ejpam-450	127	9	number	number	NOUN
ejpam-450	127	10	of	of	ADP
ejpam-450	127	11	ca	ca	NOUN
ejpam-450	127	12	rules	rule	VERB
ejpam-450	127	13	with	with	ADP
ejpam-450	127	14	the	the	DET
ejpam-450	127	15	different	different	ADJ
ejpam-450	127	16	algebraic	algebraic	ADJ
ejpam-450	127	17	degrees	degree	NOUN
ejpam-450	127	18	are	be	AUX
ejpam-450	127	19	shown	show	VERB
ejpam-450	127	20	:	:	PUNCT
ejpam-450	127	21	table	table	NOUN
ejpam-450	127	22	1	1	NUM
ejpam-450	127	23	:	:	PUNCT
ejpam-450	127	24	classi	classi	PROPN
ejpam-450	127	25	�	�	PROPN
ejpam-450	127	26	ation	ation	PROPN
ejpam-450	127	27	of	of	ADP
ejpam-450	127	28	cas	cas	PROPN
ejpam-450	127	29	a	a	DET
ejpam-450	127	30	ording	ording	NOUN
ejpam-450	127	31	to	to	ADP
ejpam-450	127	32	their	their	PRON
ejpam-450	127	33	algebrai	algebrai	NOUN
ejpam-450	127	34	degree	degree	NOUN
ejpam-450	127	35	.	.	PUNCT
ejpam-450	128	1	algebraic	algebraic	ADJ
ejpam-450	128	2	degree	degree	NOUN
ejpam-450	128	3	number	number	NOUN
ejpam-450	128	4	of	of	ADP
ejpam-450	128	5	cas	cas	PROPN
ejpam-450	128	6	0	0	NUM
ejpam-450	128	7	2	2	NUM
ejpam-450	128	8	1	1	NUM
ejpam-450	128	9	30	30	NUM
ejpam-450	128	10	2	2	NUM
ejpam-450	128	11	2,016	2,016	NUM
ejpam-450	128	12	3	3	NUM
ejpam-450	128	13	30,720	30,720	NUM
ejpam-450	128	14	4	4	NUM
ejpam-450	128	15	32,768	32,768	NUM
ejpam-450	128	16	as	as	SCONJ
ejpam-450	128	17	is	be	AUX
ejpam-450	128	18	mentioned	mention	VERB
ejpam-450	128	19	above	above	ADV
ejpam-450	128	20	,	,	PUNCT
ejpam-450	128	21	affine	affine	NOUN
ejpam-450	128	22	ca	can	AUX
ejpam-450	128	23	are	be	AUX
ejpam-450	128	24	especially	especially	ADV
ejpam-450	128	25	important	important	ADJ
ejpam-450	128	26	;	;	PUNCT
ejpam-450	128	27	in	in	ADP
ejpam-450	128	28	our	our	PRON
ejpam-450	128	29	case	case	NOUN
ejpam-450	128	30	,	,	PUNCT
ejpam-450	128	31	there	there	PRON
ejpam-450	128	32	are	be	VERB
ejpam-450	128	33	32	32	NUM
ejpam-450	128	34	affine	affine	NOUN
ejpam-450	128	35	local	local	ADJ
ejpam-450	128	36	transition	transition	NOUN
ejpam-450	128	37	functions	function	NOUN
ejpam-450	128	38	:	:	PUNCT
ejpam-450	128	39	those	those	PRON
ejpam-450	128	40	given	give	VERB
ejpam-450	128	41	by	by	ADP
ejpam-450	128	42	the	the	DET
ejpam-450	128	43	following	follow	VERB
ejpam-450	128	44	rule	rule	NOUN
ejpam-450	128	45	numbers	number	NOUN
ejpam-450	128	46	0,1	0,1	NUM
ejpam-450	128	47	,	,	PUNCT
ejpam-450	128	48	.	.	PUNCT
ejpam-450	128	49	.	.	PUNCT
ejpam-450	129	1	.	.	PUNCT
ejpam-450	130	1	,	,	PUNCT
ejpam-450	130	2	31	31	NUM
ejpam-450	130	3	.	.	PUNCT
ejpam-450	130	4	balancedness	balancedness	NOUN
ejpam-450	130	5	a	a	DET
ejpam-450	130	6	4	4	NUM
ejpam-450	130	7	-	-	PUNCT
ejpam-450	130	8	variable	variable	ADJ
ejpam-450	130	9	boolean	boolean	ADJ
ejpam-450	130	10	function	function	NOUN
ejpam-450	130	11	is	be	AUX
ejpam-450	130	12	balanced	balance	VERB
ejpam-450	130	13	when	when	SCONJ
ejpam-450	130	14	the	the	DET
ejpam-450	130	15	number	number	NOUN
ejpam-450	130	16	of	of	ADP
ejpam-450	130	17	1	1	NUM
ejpam-450	130	18	’s	’s	NOUN
ejpam-450	130	19	and	and	CCONJ
ejpam-450	130	20	0	0	NUM
ejpam-450	130	21	’s	’s	NOUN
ejpam-450	130	22	of	of	ADP
ejpam-450	130	23	its	its	PRON
ejpam-450	130	24	truth	truth	NOUN
ejpam-450	130	25	table	table	NOUN
ejpam-450	130	26	is	be	AUX
ejpam-450	130	27	the	the	DET
ejpam-450	130	28	same	same	ADJ
ejpam-450	130	29	and	and	CCONJ
ejpam-450	130	30	equals	equal	VERB
ejpam-450	130	31	to	to	ADP
ejpam-450	130	32	8	8	NUM
ejpam-450	130	33	.	.	PUNCT
ejpam-450	131	1	a	a	DET
ejpam-450	131	2	simple	simple	ADJ
ejpam-450	131	3	computation	computation	NOUN
ejpam-450	131	4	shows	show	VERB
ejpam-450	131	5	that	that	SCONJ
ejpam-450	131	6	there	there	PRON
ejpam-450	131	7	are	be	VERB
ejpam-450	131	8	12,870	12,870	NUM
ejpam-450	131	9	cas	cas	NOUN
ejpam-450	131	10	whose	whose	DET
ejpam-450	131	11	local	local	ADJ
ejpam-450	131	12	transition	transition	NOUN
ejpam-450	131	13	function	function	NOUN
ejpam-450	131	14	is	be	AUX
ejpam-450	131	15	a	a	DET
ejpam-450	131	16	balanced	balanced	ADJ
ejpam-450	131	17	4	4	NUM
ejpam-450	131	18	-	-	PUNCT
ejpam-450	131	19	variable	variable	ADJ
ejpam-450	131	20	boolean	boolean	ADJ
ejpam-450	131	21	function	function	NOUN
ejpam-450	131	22	.	.	PUNCT
ejpam-450	132	1	morevoer	morevoer	PROPN
ejpam-450	132	2	,	,	PUNCT
ejpam-450	132	3	in	in	ADP
ejpam-450	132	4	table	table	NOUN
ejpam-450	132	5	2	2	NUM
ejpam-450	132	6	the	the	DET
ejpam-450	132	7	classification	classification	NOUN
ejpam-450	132	8	of	of	ADP
ejpam-450	132	9	balanced	balanced	ADJ
ejpam-450	132	10	cas	cas	NOUN
ejpam-450	132	11	according	accord	VERB
ejpam-450	132	12	to	to	ADP
ejpam-450	132	13	its	its	PRON
ejpam-450	132	14	algebraic	algebraic	ADJ
ejpam-450	132	15	degree	degree	NOUN
ejpam-450	132	16	is	be	AUX
ejpam-450	132	17	shown	show	VERB
ejpam-450	132	18	:	:	PUNCT
ejpam-450	132	19	j.	j.	PROPN
ejpam-450	132	20	escuadra	escuadra	PROPN
ejpam-450	132	21	,	,	PUNCT
ejpam-450	132	22	a.	a.	PROPN
ejpam-450	132	23	martín	martín	PROPN
ejpam-450	132	24	del	del	PROPN
ejpam-450	132	25	rey	rey	PROPN
ejpam-450	132	26	,	,	PUNCT
ejpam-450	132	27	et	et	NOUN
ejpam-450	132	28	.	.	PUNCT
ejpam-450	133	1	al	al	PROPN
ejpam-450	133	2	.	.	PUNCT
ejpam-450	133	3	/	/	SYM
ejpam-450	133	4	eur	eur	PROPN
ejpam-450	133	5	.	.	PUNCT
ejpam-450	134	1	j.	j.	PROPN
ejpam-450	134	2	pure	pure	PROPN
ejpam-450	134	3	appl	appl	PROPN
ejpam-450	134	4	.	.	PROPN
ejpam-450	134	5	math	math	PROPN
ejpam-450	134	6	,	,	PUNCT
ejpam-450	134	7	3	3	NUM
ejpam-450	134	8	(	(	PUNCT
ejpam-450	134	9	2010	2010	NUM
ejpam-450	134	10	)	)	PUNCT
ejpam-450	134	11	,	,	PUNCT
ejpam-450	134	12	765	765	NUM
ejpam-450	134	13	-	-	SYM
ejpam-450	134	14	778	778	NUM
ejpam-450	134	15	771table	771table	PROPN
ejpam-450	134	16	2	2	NUM
ejpam-450	134	17	:	:	PUNCT
ejpam-450	134	18	classi	classi	PROPN
ejpam-450	134	19	�	�	PROPN
ejpam-450	134	20	ation	ation	PROPN
ejpam-450	134	21	of	of	ADP
ejpam-450	134	22	cas	cas	PROPN
ejpam-450	134	23	a	a	DET
ejpam-450	134	24	ording	ording	NOUN
ejpam-450	134	25	to	to	ADP
ejpam-450	134	26	their	their	PRON
ejpam-450	134	27	algebrai	algebrai	NOUN
ejpam-450	134	28	degree	degree	NOUN
ejpam-450	134	29	and	and	CCONJ
ejpam-450	134	30	balan	balan	PROPN
ejpam-450	134	31	edness	edness	PROPN
ejpam-450	134	32	.	.	PUNCT
ejpam-450	135	1	algebraic	algebraic	ADJ
ejpam-450	135	2	degree	degree	NOUN
ejpam-450	135	3	number	number	NOUN
ejpam-450	135	4	of	of	ADP
ejpam-450	135	5	balanced	balanced	ADJ
ejpam-450	135	6	cas	cas	NOUN
ejpam-450	135	7	0	0	PUNCT
ejpam-450	135	8	0	0	NUM
ejpam-450	135	9	1	1	NUM
ejpam-450	135	10	30	30	NUM
ejpam-450	135	11	2	2	NUM
ejpam-450	135	12	840	840	NUM
ejpam-450	135	13	3	3	NUM
ejpam-450	135	14	12,000	12,000	NUM
ejpam-450	135	15	4	4	NUM
ejpam-450	135	16	0	0	NUM
ejpam-450	135	17	the	the	DET
ejpam-450	135	18	nonlinearity	nonlinearity	NOUN
ejpam-450	135	19	for	for	ADP
ejpam-450	135	20	4	4	NUM
ejpam-450	135	21	-	-	PUNCT
ejpam-450	135	22	variable	variable	ADJ
ejpam-450	135	23	boolean	boolean	ADJ
ejpam-450	135	24	functions	function	NOUN
ejpam-450	135	25	it	it	PRON
ejpam-450	135	26	is	be	AUX
ejpam-450	135	27	n	n	PRON
ejpam-450	135	28	l	l	X
ejpam-450	135	29	�	�	PROPN
ejpam-450	135	30	f	f	PROPN
ejpam-450	135	31	�	�	PROPN
ejpam-450	135	32	≤	≤	PROPN
ejpam-450	135	33	23	23	NUM
ejpam-450	135	34	−	−	NUM
ejpam-450	135	35	2	2	NUM
ejpam-450	135	36	=	=	SYM
ejpam-450	135	37	6	6	NUM
ejpam-450	135	38	.	.	PUNCT
ejpam-450	136	1	in	in	ADP
ejpam-450	136	2	table	table	NOUN
ejpam-450	136	3	3	3	NUM
ejpam-450	136	4	the	the	DET
ejpam-450	136	5	results	result	NOUN
ejpam-450	136	6	obtained	obtain	VERB
ejpam-450	136	7	for	for	ADP
ejpam-450	136	8	balanced	balanced	ADJ
ejpam-450	136	9	cas	cas	PROPN
ejpam-450	136	10	whose	whose	DET
ejpam-450	136	11	algebraic	algebraic	ADJ
ejpam-450	136	12	degree	degree	NOUN
ejpam-450	136	13	is	be	AUX
ejpam-450	136	14	two	two	NUM
ejpam-450	136	15	or	or	CCONJ
ejpam-450	136	16	three	three	NUM
ejpam-450	136	17	are	be	AUX
ejpam-450	136	18	shown	show	VERB
ejpam-450	136	19	(	(	PUNCT
ejpam-450	136	20	there	there	PRON
ejpam-450	136	21	are	be	VERB
ejpam-450	136	22	not	not	PART
ejpam-450	136	23	balanced	balanced	ADJ
ejpam-450	136	24	functions	function	NOUN
ejpam-450	136	25	of	of	ADP
ejpam-450	136	26	degree	degree	NOUN
ejpam-450	136	27	4	4	NUM
ejpam-450	136	28	and	and	CCONJ
ejpam-450	136	29	the	the	DET
ejpam-450	136	30	functions	function	NOUN
ejpam-450	136	31	of	of	ADP
ejpam-450	136	32	algebraic	algebraic	ADJ
ejpam-450	136	33	degree	degree	NOUN
ejpam-450	136	34	1	1	NUM
ejpam-450	136	35	are	be	AUX
ejpam-450	136	36	affine).table	affine).table	ADJ
ejpam-450	136	37	3	3	NUM
ejpam-450	136	38	:	:	PUNCT
ejpam-450	136	39	classi	classi	PROPN
ejpam-450	136	40	�	�	PROPN
ejpam-450	136	41	ation	ation	PROPN
ejpam-450	136	42	of	of	ADP
ejpam-450	136	43	cas	cas	PROPN
ejpam-450	136	44	a	a	DET
ejpam-450	136	45	ording	ording	NOUN
ejpam-450	136	46	to	to	ADP
ejpam-450	136	47	nonlinearity	nonlinearity	NOUN
ejpam-450	136	48	property	property	NOUN
ejpam-450	136	49	.	.	PUNCT
ejpam-450	137	1	n	n	CCONJ
ejpam-450	137	2	l	l	NOUN
ejpam-450	137	3	balanced	balanced	ADJ
ejpam-450	137	4	cas	cas	NOUN
ejpam-450	137	5	of	of	ADP
ejpam-450	137	6	algebraic	algebraic	PROPN
ejpam-450	137	7	degree	degree	NOUN
ejpam-450	137	8	3	3	NUM
ejpam-450	137	9	balanced	balanced	ADJ
ejpam-450	137	10	cas	cas	NOUN
ejpam-450	137	11	of	of	ADP
ejpam-450	137	12	algebraic	algebraic	ADJ
ejpam-450	137	13	degree	degree	NOUN
ejpam-450	137	14	2	2	NUM
ejpam-450	137	15	6	6	NUM
ejpam-450	137	16	0	0	NUM
ejpam-450	137	17	0	0	NUM
ejpam-450	137	18	5	5	NUM
ejpam-450	137	19	0	0	NUM
ejpam-450	137	20	0	0	NUM
ejpam-450	137	21	4	4	NUM
ejpam-450	137	22	10,080	10,080	NUM
ejpam-450	137	23	840	840	NUM
ejpam-450	137	24	3	3	NUM
ejpam-450	137	25	0	0	NUM
ejpam-450	137	26	0	0	NUM
ejpam-450	137	27	2	2	NUM
ejpam-450	137	28	1,920	1,920	NUM
ejpam-450	137	29	0	0	NUM
ejpam-450	137	30	1	1	NUM
ejpam-450	137	31	0	0	NUM
ejpam-450	137	32	0	0	NUM
ejpam-450	137	33	0	0	NUM
ejpam-450	137	34	0	0	NUM
ejpam-450	137	35	0	0	NUM
ejpam-450	137	36	non	non	ADJ
ejpam-450	137	37	-	-	NOUN
ejpam-450	137	38	existence	existence	NOUN
ejpam-450	137	39	of	of	ADP
ejpam-450	137	40	nonzero	nonzero	PROPN
ejpam-450	137	41	linear	linear	ADJ
ejpam-450	137	42	structure	structure	NOUN
ejpam-450	137	43	the	the	DET
ejpam-450	137	44	non	non	ADJ
ejpam-450	137	45	-	-	ADJ
ejpam-450	137	46	linear	linear	ADJ
ejpam-450	137	47	ca	ca	NOUN
ejpam-450	137	48	without	without	ADP
ejpam-450	137	49	nonzero	nonzero	PROPN
ejpam-450	137	50	linear	linear	PROPN
ejpam-450	137	51	structures	structure	NOUN
ejpam-450	137	52	are	be	AUX
ejpam-450	137	53	all	all	DET
ejpam-450	137	54	those	those	DET
ejpam-450	137	55	balanced	balanced	ADJ
ejpam-450	137	56	cas	cas	NOUN
ejpam-450	137	57	of	of	ADP
ejpam-450	137	58	algebraic	algebraic	ADJ
ejpam-450	137	59	degree	degree	NOUN
ejpam-450	137	60	3	3	NUM
ejpam-450	137	61	and	and	CCONJ
ejpam-450	137	62	non	non	ADJ
ejpam-450	137	63	-	-	ADJ
ejpam-450	137	64	linearity	linearity	NOUN
ejpam-450	137	65	equals	equal	VERB
ejpam-450	137	66	to	to	ADP
ejpam-450	137	67	4	4	NUM
ejpam-450	137	68	;	;	PUNCT
ejpam-450	137	69	that	that	PRON
ejpam-450	137	70	is	is	ADV
ejpam-450	137	71	,	,	PUNCT
ejpam-450	137	72	there	there	PRON
ejpam-450	137	73	are	be	VERB
ejpam-450	137	74	10,080	10,080	NUM
ejpam-450	137	75	ca	ca	NOUN
ejpam-450	137	76	rules	rule	NOUN
ejpam-450	137	77	with	with	ADP
ejpam-450	137	78	such	such	ADJ
ejpam-450	137	79	properties	property	NOUN
ejpam-450	137	80	.	.	PUNCT
ejpam-450	138	1	the	the	DET
ejpam-450	138	2	remaining	remain	VERB
ejpam-450	138	3	balanced	balanced	ADJ
ejpam-450	138	4	cas	cas	NOUN
ejpam-450	138	5	with	with	ADP
ejpam-450	138	6	nonzero	nonzero	PROPN
ejpam-450	138	7	non	non	ADJ
ejpam-450	138	8	-	-	ADJ
ejpam-450	138	9	linearity	linearity	NOUN
ejpam-450	138	10	have	have	AUX
ejpam-450	138	11	nonzero	nonzero	PROPN
ejpam-450	138	12	linear	linear	PROPN
ejpam-450	138	13	structures	structure	NOUN
ejpam-450	138	14	.	.	PUNCT
ejpam-450	139	1	resiliency	resiliency	NOUN
ejpam-450	139	2	finally	finally	ADV
ejpam-450	139	3	,	,	PUNCT
ejpam-450	139	4	it	it	PRON
ejpam-450	139	5	is	be	AUX
ejpam-450	139	6	easy	easy	ADJ
ejpam-450	139	7	to	to	PART
ejpam-450	139	8	check	check	VERB
ejpam-450	139	9	that	that	SCONJ
ejpam-450	139	10	the	the	DET
ejpam-450	139	11	last	last	ADJ
ejpam-450	139	12	obtained	obtain	VERB
ejpam-450	139	13	ca	can	AUX
ejpam-450	139	14	are	be	AUX
ejpam-450	139	15	not	not	PART
ejpam-450	139	16	m	m	NOUN
ejpam-450	139	17	-	-	NOUN
ejpam-450	139	18	resilient	resilient	ADJ
ejpam-450	139	19	for	for	ADP
ejpam-450	139	20	0≤	0≤	ADJ
ejpam-450	139	21	m≤	m≤	NOUN
ejpam-450	139	22	4	4	NUM
ejpam-450	139	23	.	.	PUNCT
ejpam-450	139	24	propagation	propagation	NOUN
ejpam-450	139	25	criterion	criterion	NOUN
ejpam-450	139	26	it	it	PRON
ejpam-450	139	27	is	be	AUX
ejpam-450	139	28	not	not	PART
ejpam-450	139	29	necessary	necessary	ADJ
ejpam-450	139	30	to	to	PART
ejpam-450	139	31	check	check	VERB
ejpam-450	139	32	this	this	DET
ejpam-450	139	33	criterion	criterion	NOUN
ejpam-450	139	34	since	since	SCONJ
ejpam-450	139	35	there	there	PRON
ejpam-450	139	36	is	be	VERB
ejpam-450	139	37	not	not	PART
ejpam-450	139	38	ca	can	AUX
ejpam-450	139	39	rule	rule	VERB
ejpam-450	139	40	passing	pass	VERB
ejpam-450	139	41	the	the	DET
ejpam-450	139	42	last	last	ADJ
ejpam-450	139	43	one	one	NOUN
ejpam-450	139	44	stated	state	VERB
ejpam-450	139	45	.	.	PUNCT
ejpam-450	140	1	6	6	X
ejpam-450	140	2	.	.	X
ejpam-450	140	3	discussion	discussion	NOUN
ejpam-450	140	4	taking	take	VERB
ejpam-450	140	5	into	into	ADP
ejpam-450	140	6	account	account	NOUN
ejpam-450	140	7	the	the	DET
ejpam-450	140	8	results	result	NOUN
ejpam-450	140	9	shown	show	VERB
ejpam-450	140	10	in	in	ADP
ejpam-450	140	11	the	the	DET
ejpam-450	140	12	last	last	ADJ
ejpam-450	140	13	section	section	NOUN
ejpam-450	140	14	,	,	PUNCT
ejpam-450	140	15	it	it	PRON
ejpam-450	140	16	is	be	AUX
ejpam-450	140	17	easy	easy	ADJ
ejpam-450	140	18	to	to	PART
ejpam-450	140	19	check	check	VERB
ejpam-450	140	20	that	that	SCONJ
ejpam-450	140	21	there	there	PRON
ejpam-450	140	22	not	not	PART
ejpam-450	140	23	exist	exist	VERB
ejpam-450	140	24	two	two	NUM
ejpam-450	140	25	-	-	PUNCT
ejpam-450	140	26	dimensional	dimensional	ADJ
ejpam-450	140	27	cellular	cellular	ADJ
ejpam-450	140	28	automata	automata	NOUN
ejpam-450	140	29	with	with	ADP
ejpam-450	140	30	von	von	PROPN
ejpam-450	140	31	neumann	neumann	PROPN
ejpam-450	140	32	neighborhoods	neighborhood	NOUN
ejpam-450	140	33	satisfying	satisfy	VERB
ejpam-450	140	34	the	the	DET
ejpam-450	140	35	following	follow	VERB
ejpam-450	140	36	properties	property	NOUN
ejpam-450	140	37	at	at	ADP
ejpam-450	140	38	the	the	DET
ejpam-450	140	39	same	same	ADJ
ejpam-450	140	40	time	time	NOUN
ejpam-450	140	41	:	:	PUNCT
ejpam-450	140	42	references	reference	NOUN
ejpam-450	140	43	772	772	NUM
ejpam-450	140	44	•	•	NUM
ejpam-450	140	45	algebraic	algebraic	ADJ
ejpam-450	140	46	degree	degree	NOUN
ejpam-450	140	47	of	of	ADP
ejpam-450	140	48	the	the	DET
ejpam-450	140	49	local	local	ADJ
ejpam-450	140	50	transition	transition	NOUN
ejpam-450	140	51	functions	function	NOUN
ejpam-450	140	52	of	of	ADP
ejpam-450	140	53	the	the	DET
ejpam-450	140	54	ca	ca	NOUN
ejpam-450	140	55	:	:	PUNCT
ejpam-450	140	56	2	2	NUM
ejpam-450	140	57	.	.	NOUN
ejpam-450	140	58	•	•	NUM
ejpam-450	140	59	balancedness	balancedness	NOUN
ejpam-450	140	60	.	.	PUNCT
ejpam-450	141	1	•	•	NUM
ejpam-450	141	2	non	non	NOUN
ejpam-450	141	3	-	-	NOUN
ejpam-450	141	4	existence	existence	NOUN
ejpam-450	141	5	of	of	ADP
ejpam-450	141	6	nonzero	nonzero	PROPN
ejpam-450	141	7	linear	linear	PROPN
ejpam-450	141	8	structures	structure	NOUN
ejpam-450	141	9	.	.	PUNCT
ejpam-450	142	1	•	•	NUM
ejpam-450	142	2	non	non	ADJ
ejpam-450	142	3	-	-	NOUN
ejpam-450	142	4	linearity	linearity	NOUN
ejpam-450	142	5	of	of	ADP
ejpam-450	142	6	the	the	DET
ejpam-450	142	7	local	local	ADJ
ejpam-450	142	8	transition	transition	NOUN
ejpam-450	142	9	functions	function	NOUN
ejpam-450	142	10	of	of	ADP
ejpam-450	142	11	eca	eca	NOUN
ejpam-450	142	12	:	:	PUNCT
ejpam-450	142	13	between	between	ADP
ejpam-450	142	14	0	0	NUM
ejpam-450	142	15	and	and	CCONJ
ejpam-450	142	16	6	6	NUM
ejpam-450	142	17	.	.	NOUN
ejpam-450	142	18	•	•	NUM
ejpam-450	142	19	resiliency	resiliency	NOUN
ejpam-450	142	20	:	:	PUNCT
ejpam-450	142	21	local	local	ADJ
ejpam-450	142	22	transition	transition	NOUN
ejpam-450	142	23	functions	function	NOUN
ejpam-450	142	24	m	m	NOUN
ejpam-450	142	25	-	-	PUNCT
ejpam-450	142	26	resilients	resilient	NOUN
ejpam-450	142	27	,	,	PUNCT
ejpam-450	142	28	0≤	0≤	NUM
ejpam-450	142	29	m	m	VERB
ejpam-450	142	30	≤	≤	ADJ
ejpam-450	142	31	4	4	NUM
ejpam-450	142	32	.	.	PUNCT
ejpam-450	143	1	consequently	consequently	ADV
ejpam-450	143	2	,	,	PUNCT
ejpam-450	143	3	it	it	PRON
ejpam-450	143	4	is	be	AUX
ejpam-450	143	5	shown	show	VERB
ejpam-450	143	6	that	that	SCONJ
ejpam-450	143	7	two	two	NUM
ejpam-450	143	8	-	-	PUNCT
ejpam-450	143	9	dimensional	dimensional	ADJ
ejpam-450	143	10	cellular	cellular	ADJ
ejpam-450	143	11	automata	automata	NOUN
ejpam-450	143	12	can	can	AUX
ejpam-450	143	13	not	not	PART
ejpam-450	143	14	be	be	AUX
ejpam-450	143	15	used	use	VERB
ejpam-450	143	16	directly	directly	ADV
ejpam-450	143	17	in	in	ADP
ejpam-450	143	18	the	the	DET
ejpam-450	143	19	design	design	NOUN
ejpam-450	143	20	of	of	ADP
ejpam-450	143	21	s	s	NOUN
ejpam-450	143	22	-	-	NOUN
ejpam-450	143	23	boxes	box	NOUN
ejpam-450	143	24	or	or	CCONJ
ejpam-450	143	25	as	as	ADP
ejpam-450	143	26	combining	combine	VERB
ejpam-450	143	27	functions	function	NOUN
ejpam-450	143	28	for	for	ADP
ejpam-450	143	29	lfsrs	lfsrs	ADJ
ejpam-450	143	30	outputs	output	NOUN
ejpam-450	143	31	.	.	PUNCT
ejpam-450	144	1	nevertheless	nevertheless	ADV
ejpam-450	144	2	,	,	PUNCT
ejpam-450	144	3	it	it	PRON
ejpam-450	144	4	is	be	AUX
ejpam-450	144	5	also	also	ADV
ejpam-450	144	6	true	true	ADJ
ejpam-450	144	7	,	,	PUNCT
ejpam-450	144	8	that	that	PRON
ejpam-450	144	9	ca	can	AUX
ejpam-450	144	10	can	can	AUX
ejpam-450	144	11	be	be	AUX
ejpam-450	144	12	used	use	VERB
ejpam-450	144	13	in	in	ADP
ejpam-450	144	14	the	the	DET
ejpam-450	144	15	design	design	NOUN
ejpam-450	144	16	of	of	ADP
ejpam-450	144	17	other	other	ADJ
ejpam-450	144	18	cryptographic	cryptographic	ADJ
ejpam-450	144	19	protocols	protocol	NOUN
ejpam-450	144	20	as	as	SCONJ
ejpam-450	144	21	is	be	AUX
ejpam-450	144	22	mentioned	mention	VERB
ejpam-450	144	23	in	in	ADP
ejpam-450	144	24	the	the	DET
ejpam-450	144	25	introduction	introduction	NOUN
ejpam-450	144	26	,	,	PUNCT
ejpam-450	144	27	since	since	SCONJ
ejpam-450	144	28	other	other	ADJ
ejpam-450	144	29	mathematical	mathematical	ADJ
ejpam-450	144	30	properties	property	NOUN
ejpam-450	144	31	,	,	PUNCT
ejpam-450	144	32	such	such	ADJ
ejpam-450	144	33	as	as	ADP
ejpam-450	144	34	statistical	statistical	ADJ
ejpam-450	144	35	properties	property	NOUN
ejpam-450	144	36	or	or	CCONJ
ejpam-450	144	37	reversibility	reversibility	NOUN
ejpam-450	144	38	properties	property	NOUN
ejpam-450	144	39	,	,	PUNCT
ejpam-450	144	40	are	be	AUX
ejpam-450	144	41	required	require	VERB
ejpam-450	144	42	for	for	ADP
ejpam-450	144	43	its	its	PRON
ejpam-450	144	44	used	use	VERB
ejpam-450	144	45	in	in	ADP
ejpam-450	144	46	such	such	ADJ
ejpam-450	144	47	protocols	protocol	NOUN
ejpam-450	144	48	.	.	PUNCT
ejpam-450	145	1	note	note	VERB
ejpam-450	145	2	that	that	SCONJ
ejpam-450	145	3	this	this	DET
ejpam-450	145	4	properties	property	NOUN
ejpam-450	145	5	often	often	ADV
ejpam-450	145	6	depends	depend	VERB
ejpam-450	145	7	not	not	PART
ejpam-450	145	8	on	on	ADP
ejpam-450	145	9	the	the	DET
ejpam-450	145	10	local	local	ADJ
ejpam-450	145	11	transition	transition	NOUN
ejpam-450	145	12	function	function	NOUN
ejpam-450	145	13	but	but	CCONJ
ejpam-450	145	14	on	on	ADP
ejpam-450	145	15	the	the	DET
ejpam-450	145	16	global	global	ADJ
ejpam-450	145	17	transition	transition	NOUN
ejpam-450	145	18	function	function	NOUN
ejpam-450	145	19	of	of	ADP
ejpam-450	145	20	the	the	DET
ejpam-450	145	21	ca	ca	NOUN
ejpam-450	145	22	.	.	PUNCT
ejpam-450	146	1	acknowledgements	acknowledgement	NOUN
ejpam-450	146	2	this	this	DET
ejpam-450	146	3	work	work	NOUN
ejpam-450	146	4	has	have	AUX
ejpam-450	146	5	been	be	AUX
ejpam-450	146	6	supported	support	VERB
ejpam-450	146	7	by	by	ADP
ejpam-450	146	8	ministerio	ministerio	PROPN
ejpam-450	146	9	de	de	PROPN
ejpam-450	146	10	ciencia	ciencia	PROPN
ejpam-450	146	11	e	e	PROPN
ejpam-450	146	12	innovación	innovación	PROPN
ejpam-450	146	13	(	(	PUNCT
ejpam-450	146	14	spain	spain	PROPN
ejpam-450	146	15	)	)	PUNCT
ejpam-450	146	16	under	under	ADP
ejpam-450	146	17	grant	grant	NOUN
ejpam-450	146	18	mtm2008	mtm2008	NOUN
ejpam-450	146	19	-	-	PUNCT
ejpam-450	146	20	02773	02773	NUM
ejpam-450	146	21	.	.	PUNCT
ejpam-450	147	1	references	reference	NOUN
ejpam-450	147	2	[	[	X
ejpam-450	147	3	1	1	NUM
ejpam-450	147	4	]	]	PUNCT
ejpam-450	147	5	i.	i.	NOUN
ejpam-450	147	6	damgard	damgard	PROPN
ejpam-450	147	7	,	,	PUNCT
ejpam-450	147	8	a	a	DET
ejpam-450	147	9	design	design	NOUN
ejpam-450	147	10	principle	principle	NOUN
ejpam-450	147	11	for	for	ADP
ejpam-450	147	12	hash	hash	NOUN
ejpam-450	147	13	functions	function	NOUN
ejpam-450	147	14	,	,	PUNCT
ejpam-450	147	15	in	in	ADP
ejpam-450	147	16	advances	advance	NOUN
ejpam-450	147	17	in	in	ADP
ejpam-450	147	18	cryptology	cryptology	NOUN
ejpam-450	147	19	:	:	PUNCT
ejpam-450	147	20	proc	proc	NOUN
ejpam-450	147	21	.	.	PROPN
ejpam-450	147	22	of	of	ADP
ejpam-450	147	23	crypto’89	crypto’89	PROPN
ejpam-450	147	24	(	(	PUNCT
ejpam-450	147	25	g.	g.	PROPN
ejpam-450	147	26	brassard	brassard	PROPN
ejpam-450	147	27	,	,	PUNCT
ejpam-450	147	28	ed	ed	NOUN
ejpam-450	147	29	.	.	PUNCT
ejpam-450	147	30	)	)	PUNCT
ejpam-450	147	31	,	,	PUNCT
ejpam-450	147	32	lect	lect	PROPN
ejpam-450	147	33	.	.	PUNCT
ejpam-450	148	1	notes	note	NOUN
ejpam-450	148	2	comput	comput	ADJ
ejpam-450	148	3	.	.	PUNCT
ejpam-450	149	1	sci	sci	PROPN
ejpam-450	149	2	.	.	PUNCT
ejpam-450	150	1	435	435	NUM
ejpam-450	150	2	:	:	PUNCT
ejpam-450	150	3	416	416	NUM
ejpam-450	150	4	-	-	SYM
ejpam-450	150	5	427	427	NUM
ejpam-450	150	6	1990	1990	NUM
ejpam-450	150	7	.	.	PUNCT
ejpam-450	151	1	[	[	X
ejpam-450	151	2	2	2	NUM
ejpam-450	151	3	]	]	X
ejpam-450	151	4	j.h	j.h	PROPN
ejpam-450	151	5	.	.	PROPN
ejpam-450	151	6	evertse	evertse	PROPN
ejpam-450	151	7	,	,	PUNCT
ejpam-450	151	8	linear	linear	ADJ
ejpam-450	151	9	structures	structure	NOUN
ejpam-450	151	10	in	in	ADP
ejpam-450	151	11	block	block	NOUN
ejpam-450	151	12	ciphers	cipher	NOUN
ejpam-450	151	13	,	,	PUNCT
ejpam-450	151	14	in	in	ADP
ejpam-450	151	15	advances	advance	NOUN
ejpam-450	151	16	in	in	ADP
ejpam-450	151	17	cryptology	cryptology	NOUN
ejpam-450	151	18	,	,	PUNCT
ejpam-450	151	19	proc	proc	NOUN
ejpam-450	151	20	.	.	PROPN
ejpam-450	151	21	of	of	ADP
ejpam-450	151	22	eurocrypt’87	eurocrypt’87	PROPN
ejpam-450	151	23	(	(	PUNCT
ejpam-450	151	24	d.	d.	PROPN
ejpam-450	151	25	chaum	chaum	PROPN
ejpam-450	151	26	,	,	PUNCT
ejpam-450	151	27	w.	w.	PROPN
ejpam-450	151	28	l.	l.	PROPN
ejpam-450	151	29	price	price	PROPN
ejpam-450	151	30	,	,	PUNCT
ejpam-450	151	31	eds	ed	NOUN
ejpam-450	151	32	.	.	PUNCT
ejpam-450	151	33	)	)	PUNCT
ejpam-450	151	34	,	,	PUNCT
ejpam-450	151	35	lect	lect	PROPN
ejpam-450	151	36	.	.	PUNCT
ejpam-450	152	1	notes	note	NOUN
ejpam-450	152	2	comput	comput	ADJ
ejpam-450	152	3	.	.	PUNCT
ejpam-450	153	1	sci	sci	PROPN
ejpam-450	153	2	.	.	PROPN
ejpam-450	154	1	304	304	NUM
ejpam-450	154	2	:	:	PUNCT
ejpam-450	154	3	249–266	249–266	NUM
ejpam-450	154	4	1988	1988	NUM
ejpam-450	154	5	.	.	PUNCT
ejpam-450	155	1	[	[	X
ejpam-450	155	2	3	3	NUM
ejpam-450	155	3	]	]	PUNCT
ejpam-450	155	4	a.	a.	NOUN
ejpam-450	155	5	fúster	fúster	PROPN
ejpam-450	155	6	,	,	PUNCT
ejpam-450	155	7	p.	p.	NOUN
ejpam-450	155	8	caballero	caballero	PROPN
ejpam-450	155	9	,	,	PUNCT
ejpam-450	155	10	on	on	ADP
ejpam-450	155	11	the	the	DET
ejpam-450	155	12	use	use	NOUN
ejpam-450	155	13	of	of	ADP
ejpam-450	155	14	cellular	cellular	ADJ
ejpam-450	155	15	automata	automata	NOUN
ejpam-450	155	16	in	in	ADP
ejpam-450	155	17	symmetric	symmetric	ADJ
ejpam-450	155	18	cryptography	cryptography	NOUN
ejpam-450	155	19	.	.	PUNCT
ejpam-450	156	1	acta	acta	PROPN
ejpam-450	156	2	appl	appl	PROPN
ejpam-450	156	3	.	.	PROPN
ejpam-450	156	4	math	math	NOUN
ejpam-450	156	5	.	.	PUNCT
ejpam-450	157	1	93	93	NUM
ejpam-450	157	2	,	,	PUNCT
ejpam-450	157	3	2	2	NUM
ejpam-450	157	4	:	:	PUNCT
ejpam-450	157	5	215–236	215–236	NUM
ejpam-450	157	6	,	,	PUNCT
ejpam-450	157	7	2006	2006	NUM
ejpam-450	157	8	.	.	PUNCT
ejpam-450	158	1	[	[	X
ejpam-450	158	2	4	4	NUM
ejpam-450	158	3	]	]	PUNCT
ejpam-450	158	4	x.	x.	NOUN
ejpam-450	158	5	lai	lai	PROPN
ejpam-450	158	6	,	,	PUNCT
ejpam-450	158	7	higher	high	ADJ
ejpam-450	158	8	order	order	NOUN
ejpam-450	158	9	derivatives	derivative	NOUN
ejpam-450	158	10	and	and	CCONJ
ejpam-450	158	11	differential	differential	ADJ
ejpam-450	158	12	cryptanalysis	cryptanalysis	NOUN
ejpam-450	158	13	,	,	PUNCT
ejpam-450	158	14	in	in	ADP
ejpam-450	158	15	communications	communication	NOUN
ejpam-450	158	16	and	and	CCONJ
ejpam-450	158	17	cryptology	cryptology	NOUN
ejpam-450	158	18	,	,	PUNCT
ejpam-450	158	19	kluwer	kluwer	NOUN
ejpam-450	158	20	academic	academic	ADJ
ejpam-450	158	21	publishers	publisher	NOUN
ejpam-450	158	22	,	,	PUNCT
ejpam-450	158	23	p.	p.	NOUN
ejpam-450	158	24	227	227	NUM
ejpam-450	158	25	-	-	SYM
ejpam-450	158	26	233	233	NUM
ejpam-450	158	27	.	.	PUNCT
ejpam-450	158	28	1994	1994	NUM
ejpam-450	158	29	.	.	PUNCT
ejpam-450	159	1	[	[	X
ejpam-450	159	2	5	5	NUM
ejpam-450	159	3	]	]	X
ejpam-450	159	4	l.r	l.r	PROPN
ejpam-450	159	5	.	.	PROPN
ejpam-450	159	6	knudsen	knudsen	PROPN
ejpam-450	159	7	,	,	PUNCT
ejpam-450	159	8	truncated	truncate	VERB
ejpam-450	159	9	and	and	CCONJ
ejpam-450	159	10	higher	high	ADJ
ejpam-450	159	11	order	order	NOUN
ejpam-450	159	12	differentials	differential	NOUN
ejpam-450	159	13	,	,	PUNCT
ejpam-450	159	14	in	in	ADP
ejpam-450	159	15	proc	proc	NOUN
ejpam-450	159	16	.	.	PUNCT
ejpam-450	159	17	of	of	ADP
ejpam-450	159	18	2nd	2nd	PROPN
ejpam-450	159	19	fse	fse	PROPN
ejpam-450	159	20	(	(	PUNCT
ejpam-450	159	21	b.	b.	PROPN
ejpam-450	159	22	preneel	preneel	PROPN
ejpam-450	159	23	,	,	PUNCT
ejpam-450	159	24	ed	ed	NOUN
ejpam-450	159	25	.	.	PUNCT
ejpam-450	159	26	)	)	PUNCT
ejpam-450	159	27	,	,	PUNCT
ejpam-450	159	28	lect	lect	PROPN
ejpam-450	159	29	.	.	PUNCT
ejpam-450	160	1	notes	note	NOUN
ejpam-450	160	2	comput	comput	ADJ
ejpam-450	160	3	.	.	PUNCT
ejpam-450	161	1	sci	sci	PROPN
ejpam-450	161	2	.	.	PUNCT
ejpam-450	161	3	1008	1008	NUM
ejpam-450	161	4	:	:	PUNCT
ejpam-450	162	1	196–211	196–211	NUM
ejpam-450	162	2	.	.	PUNCT
ejpam-450	162	3	1995	1995	NUM
ejpam-450	162	4	.	.	PUNCT
ejpam-450	163	1	[	[	X
ejpam-450	163	2	6	6	NUM
ejpam-450	163	3	]	]	PUNCT
ejpam-450	163	4	b.	b.	PROPN
ejpam-450	163	5	martin	martin	PROPN
ejpam-450	163	6	,	,	PUNCT
ejpam-450	163	7	a	a	DET
ejpam-450	163	8	walsh	walsh	NOUN
ejpam-450	163	9	exploration	exploration	NOUN
ejpam-450	163	10	of	of	ADP
ejpam-450	163	11	elementary	elementary	ADJ
ejpam-450	163	12	ca	ca	NOUN
ejpam-450	163	13	rules	rule	VERB
ejpam-450	163	14	.	.	PUNCT
ejpam-450	164	1	j.	j.	PROPN
ejpam-450	164	2	cellular	cellular	PROPN
ejpam-450	164	3	automata	automata	NOUN
ejpam-450	164	4	3	3	NUM
ejpam-450	164	5	,	,	PUNCT
ejpam-450	164	6	2	2	NUM
ejpam-450	164	7	:	:	SYM
ejpam-450	164	8	145	145	NUM
ejpam-450	164	9	–	–	PUNCT
ejpam-450	164	10	156	156	NUM
ejpam-450	164	11	.	.	NUM
ejpam-450	164	12	2008	2008	NUM
ejpam-450	164	13	.	.	PUNCT
ejpam-450	165	1	[	[	X
ejpam-450	165	2	7	7	NUM
ejpam-450	165	3	]	]	PUNCT
ejpam-450	165	4	a.	a.	NOUN
ejpam-450	165	5	martín	martín	PROPN
ejpam-450	165	6	del	del	PROPN
ejpam-450	165	7	rey	rey	PROPN
ejpam-450	165	8	,	,	PUNCT
ejpam-450	165	9	j.	j.	PROPN
ejpam-450	165	10	pereira	pereira	PROPN
ejpam-450	165	11	mateus	mateus	PROPN
ejpam-450	165	12	,	,	PUNCT
ejpam-450	165	13	g.	g.	PROPN
ejpam-450	165	14	rodríguez	rodríguez	PROPN
ejpam-450	165	15	sánchez	sánchez	PROPN
ejpam-450	165	16	,	,	PUNCT
ejpam-450	165	17	a	a	DET
ejpam-450	165	18	secret	secret	ADJ
ejpam-450	165	19	sharing	sharing	NOUN
ejpam-450	165	20	scheme	scheme	NOUN
ejpam-450	165	21	based	base	VERB
ejpam-450	165	22	on	on	ADP
ejpam-450	165	23	cellular	cellular	ADJ
ejpam-450	165	24	automata	automata	NOUN
ejpam-450	165	25	.	.	PUNCT
ejpam-450	166	1	appl	appl	PROPN
ejpam-450	166	2	.	.	PROPN
ejpam-450	166	3	math	math	PROPN
ejpam-450	166	4	.	.	PUNCT
ejpam-450	167	1	comput	comput	NOUN
ejpam-450	167	2	.	.	PUNCT
ejpam-450	168	1	170	170	NUM
ejpam-450	168	2	:	:	PUNCT
ejpam-450	168	3	1356	1356	NUM
ejpam-450	168	4	-	-	SYM
ejpam-450	168	5	1364	1364	NUM
ejpam-450	168	6	.	.	PUNCT
ejpam-450	169	1	2005	2005	NUM
ejpam-450	169	2	.	.	PUNCT
ejpam-450	170	1	[	[	X
ejpam-450	170	2	8	8	NUM
ejpam-450	170	3	]	]	X
ejpam-450	170	4	a.	a.	NOUN
ejpam-450	170	5	martín	martín	PROPN
ejpam-450	170	6	del	del	PROPN
ejpam-450	170	7	rey	rey	PROPN
ejpam-450	170	8	,	,	PUNCT
ejpam-450	170	9	a.	a.	NOUN
ejpam-450	170	10	queiruga	queiruga	NOUN
ejpam-450	170	11	dios	dios	PROPN
ejpam-450	170	12	,	,	PUNCT
ejpam-450	170	13	g.	g.	PROPN
ejpam-450	170	14	rodríguez	rodríguez	PROPN
ejpam-450	170	15	sánchez	sánchez	PROPN
ejpam-450	170	16	,	,	PUNCT
ejpam-450	170	17	a	a	DET
ejpam-450	170	18	(	(	PUNCT
ejpam-450	170	19	2,n)-secret	2,n)-secret	ADJ
ejpam-450	170	20	sharing	sharing	NOUN
ejpam-450	170	21	scheme	scheme	NOUN
ejpam-450	170	22	based	base	VERB
ejpam-450	170	23	on	on	ADP
ejpam-450	170	24	linear	linear	ADJ
ejpam-450	170	25	cellular	cellular	ADJ
ejpam-450	170	26	automata	automata	NOUN
ejpam-450	170	27	.	.	PUNCT
ejpam-450	171	1	int	int	NOUN
ejpam-450	171	2	.	.	PUNCT
ejpam-450	172	1	j.	j.	PROPN
ejpam-450	172	2	mod	mod	PROPN
ejpam-450	172	3	.	.	PUNCT
ejpam-450	173	1	phys	phys	PROPN
ejpam-450	173	2	.	.	PUNCT
ejpam-450	174	1	c	c	PROPN
ejpam-450	174	2	19	19	NUM
ejpam-450	174	3	,	,	PUNCT
ejpam-450	174	4	10	10	NUM
ejpam-450	174	5	:	:	SYM
ejpam-450	174	6	1529	1529	NUM
ejpam-450	174	7	-	-	SYM
ejpam-450	174	8	1535	1535	NUM
ejpam-450	174	9	.	.	PUNCT
ejpam-450	175	1	2008	2008	NUM
ejpam-450	175	2	.	.	PUNCT
ejpam-450	176	1	[	[	X
ejpam-450	176	2	9	9	NUM
ejpam-450	176	3	]	]	PUNCT
ejpam-450	176	4	a.	a.	NOUN
ejpam-450	176	5	j.	j.	PROPN
ejpam-450	176	6	menezes	menezes	PROPN
ejpam-450	176	7	,	,	PUNCT
ejpam-450	176	8	p.	p.	PROPN
ejpam-450	176	9	c.	c.	PROPN
ejpam-450	176	10	van	van	PROPN
ejpam-450	176	11	oorschot	oorschot	PROPN
ejpam-450	176	12	,	,	PUNCT
ejpam-450	176	13	s.	s.	PROPN
ejpam-450	176	14	a.	a.	PROPN
ejpam-450	176	15	vanstone	vanstone	PROPN
ejpam-450	176	16	,	,	PUNCT
ejpam-450	176	17	handbook	handbook	NOUN
ejpam-450	176	18	of	of	ADP
ejpam-450	176	19	applied	applied	ADJ
ejpam-450	176	20	cryptography	cryptography	NOUN
ejpam-450	176	21	,	,	PUNCT
ejpam-450	176	22	crc	crc	NOUN
ejpam-450	176	23	press	press	PROPN
ejpam-450	176	24	,	,	PUNCT
ejpam-450	176	25	boca	boca	PROPN
ejpam-450	176	26	raton	raton	PROPN
ejpam-450	176	27	,	,	PUNCT
ejpam-450	176	28	fl	fl	PROPN
ejpam-450	176	29	,	,	PUNCT
ejpam-450	176	30	1997	1997	NUM
ejpam-450	176	31	.	.	PUNCT
ejpam-450	177	1	references	reference	NOUN
ejpam-450	177	2	773	773	NUM
ejpam-450	178	1	[	[	X
ejpam-450	178	2	10	10	NUM
ejpam-450	178	3	]	]	PUNCT
ejpam-450	178	4	m.	m.	NOUN
ejpam-450	178	5	mukherjee	mukherjee	PROPN
ejpam-450	178	6	,	,	PUNCT
ejpam-450	178	7	n.	n.	PROPN
ejpam-450	178	8	ganguly	ganguly	PROPN
ejpam-450	178	9	,	,	PUNCT
ejpam-450	178	10	p.p	p.p	PROPN
ejpam-450	178	11	.	.	PROPN
ejpam-450	178	12	chaudhuri	chaudhuri	PROPN
ejpam-450	178	13	,	,	PUNCT
ejpam-450	178	14	cellular	cellular	ADJ
ejpam-450	178	15	automata	automata	NOUN
ejpam-450	178	16	based	base	VERB
ejpam-450	178	17	authentication	authentication	NOUN
ejpam-450	178	18	.	.	PUNCT
ejpam-450	179	1	in	in	ADP
ejpam-450	179	2	proc	proc	PROPN
ejpam-450	179	3	.	.	PUNCT
ejpam-450	180	1	of	of	ADP
ejpam-450	180	2	acri	acri	PROPN
ejpam-450	180	3	2002	2002	NUM
ejpam-450	180	4	(	(	PUNCT
ejpam-450	180	5	s.	s.	PROPN
ejpam-450	180	6	bandini	bandini	PROPN
ejpam-450	180	7	,	,	PUNCT
ejpam-450	180	8	b.	b.	PROPN
ejpam-450	180	9	chopard	chopard	PROPN
ejpam-450	180	10	,	,	PUNCT
ejpam-450	180	11	m.	m.	NOUN
ejpam-450	180	12	tomassini	tomassini	PROPN
ejpam-450	180	13	,	,	PUNCT
ejpam-450	180	14	eds	ed	NOUN
ejpam-450	180	15	.	.	PUNCT
ejpam-450	180	16	)	)	PUNCT
ejpam-450	180	17	,	,	PUNCT
ejpam-450	180	18	lect	lect	PROPN
ejpam-450	180	19	.	.	PUNCT
ejpam-450	181	1	notes	note	NOUN
ejpam-450	181	2	comput	comput	ADJ
ejpam-450	181	3	.	.	PUNCT
ejpam-450	182	1	sci	sci	PROPN
ejpam-450	182	2	.	.	PROPN
ejpam-450	182	3	2493	2493	NUM
ejpam-450	182	4	:	:	PUNCT
ejpam-450	182	5	259	259	NUM
ejpam-450	182	6	-	-	SYM
ejpam-450	182	7	269	269	NUM
ejpam-450	182	8	.	.	PUNCT
ejpam-450	182	9	2002	2002	NUM
ejpam-450	182	10	.	.	PUNCT
ejpam-450	183	1	[	[	X
ejpam-450	183	2	11	11	NUM
ejpam-450	183	3	]	]	X
ejpam-450	183	4	b.	b.	PROPN
ejpam-450	183	5	preneel	preneel	PROPN
ejpam-450	183	6	,	,	PUNCT
ejpam-450	183	7	w.	w.	PROPN
ejpam-450	183	8	van	van	PROPN
ejpam-450	183	9	leekwijck	leekwijck	PROPN
ejpam-450	183	10	,	,	PUNCT
ejpam-450	183	11	l.	l.	PROPN
ejpam-450	183	12	van	van	PROPN
ejpam-450	183	13	linden	linden	PROPN
ejpam-450	183	14	,	,	PUNCT
ejpam-450	183	15	r.	r.	PROPN
ejpam-450	183	16	govaerts	govaerts	PROPN
ejpam-450	183	17	,	,	PUNCT
ejpam-450	183	18	j.	j.	PROPN
ejpam-450	183	19	vandevalle	vandevalle	PROPN
ejpam-450	183	20	,	,	PUNCT
ejpam-450	183	21	propagation	propagation	NOUN
ejpam-450	183	22	characteristic	characteristic	NOUN
ejpam-450	183	23	of	of	ADP
ejpam-450	183	24	boolean	boolean	ADJ
ejpam-450	183	25	functions	function	NOUN
ejpam-450	183	26	.	.	PUNCT
ejpam-450	184	1	in	in	ADP
ejpam-450	184	2	advances	advance	NOUN
ejpam-450	184	3	in	in	ADP
ejpam-450	184	4	cryptology	cryptology	NOUN
ejpam-450	184	5	,	,	PUNCT
ejpam-450	184	6	proc	proc	NOUN
ejpam-450	184	7	.	.	PROPN
ejpam-450	185	1	of	of	ADP
ejpam-450	185	2	eurocrypt’90	eurocrypt’90	X
ejpam-450	185	3	(	(	PUNCT
ejpam-450	185	4	i.b	i.b	PROPN
ejpam-450	185	5	.	.	PROPN
ejpam-450	185	6	damgard	damgard	PROPN
ejpam-450	185	7	,	,	PUNCT
ejpam-450	185	8	ed	ed	NOUN
ejpam-450	185	9	.	.	PUNCT
ejpam-450	185	10	)	)	PUNCT
ejpam-450	185	11	,	,	PUNCT
ejpam-450	186	1	lect	lect	PROPN
ejpam-450	186	2	.	.	PUNCT
ejpam-450	187	1	notes	note	NOUN
ejpam-450	187	2	comput	comput	ADJ
ejpam-450	187	3	.	.	PUNCT
ejpam-450	188	1	sci	sci	PROPN
ejpam-450	188	2	.	.	PUNCT
ejpam-450	189	1	473	473	NUM
ejpam-450	189	2	:	:	PUNCT
ejpam-450	190	1	161–173	161–173	NUM
ejpam-450	190	2	.	.	PUNCT
ejpam-450	190	3	1991	1991	NUM
ejpam-450	190	4	.	.	PUNCT
ejpam-450	191	1	[	[	X
ejpam-450	191	2	12	12	NUM
ejpam-450	191	3	]	]	X
ejpam-450	191	4	r.a	r.a	PROPN
ejpam-450	191	5	.	.	PROPN
ejpam-450	191	6	rueppel	rueppel	PROPN
ejpam-450	191	7	,	,	PUNCT
ejpam-450	191	8	and	and	CCONJ
ejpam-450	191	9	o.j	o.j	PROPN
ejpam-450	191	10	.	.	PROPN
ejpam-450	191	11	staffelbach	staffelbach	PROPN
ejpam-450	191	12	,	,	PUNCT
ejpam-450	191	13	products	product	NOUN
ejpam-450	191	14	of	of	ADP
ejpam-450	191	15	linear	linear	ADJ
ejpam-450	191	16	recurring	recur	VERB
ejpam-450	191	17	sequences	sequence	NOUN
ejpam-450	191	18	with	with	ADP
ejpam-450	191	19	maximum	maximum	ADJ
ejpam-450	191	20	complexity	complexity	NOUN
ejpam-450	191	21	.	.	PUNCT
ejpam-450	192	1	ieee	ieee	PROPN
ejpam-450	192	2	trans	trans	PROPN
ejpam-450	192	3	.	.	PUNCT
ejpam-450	193	1	inform	inform	NOUN
ejpam-450	193	2	.	.	PUNCT
ejpam-450	194	1	theory	theory	NOUN
ejpam-450	194	2	33	33	NUM
ejpam-450	194	3	,	,	PUNCT
ejpam-450	194	4	1	1	NUM
ejpam-450	194	5	:	:	PUNCT
ejpam-450	194	6	124–131	124–131	NUM
ejpam-450	194	7	.	.	NOUN
ejpam-450	194	8	1987	1987	NUM
ejpam-450	194	9	.	.	PUNCT
ejpam-450	195	1	[	[	X
ejpam-450	195	2	13	13	NUM
ejpam-450	195	3	]	]	X
ejpam-450	195	4	a.f	a.f	PROPN
ejpam-450	195	5	.	.	PROPN
ejpam-450	195	6	webster	webster	PROPN
ejpam-450	195	7	,	,	PUNCT
ejpam-450	195	8	s.e	s.e	PROPN
ejpam-450	195	9	.	.	PROPN
ejpam-450	195	10	tavares	tavare	NOUN
ejpam-450	195	11	,	,	PUNCT
ejpam-450	195	12	on	on	ADP
ejpam-450	195	13	the	the	DET
ejpam-450	195	14	design	design	NOUN
ejpam-450	195	15	of	of	ADP
ejpam-450	195	16	s	s	NOUN
ejpam-450	195	17	-	-	NOUN
ejpam-450	195	18	boxes	box	NOUN
ejpam-450	195	19	.	.	PUNCT
ejpam-450	196	1	in	in	ADP
ejpam-450	196	2	advances	advance	NOUN
ejpam-450	196	3	in	in	ADP
ejpam-450	196	4	cryptology	cryptology	NOUN
ejpam-450	196	5	,	,	PUNCT
ejpam-450	196	6	proc	proc	NOUN
ejpam-450	196	7	.	.	PUNCT
ejpam-450	197	1	of	of	ADP
ejpam-450	197	2	crypto’85	crypto’85	PROPN
ejpam-450	197	3	(	(	PUNCT
ejpam-450	197	4	h.	h.	PROPN
ejpam-450	197	5	c.	c.	PROPN
ejpam-450	197	6	williams	williams	PROPN
ejpam-450	197	7	,	,	PUNCT
ejpam-450	197	8	ed	ed	NOUN
ejpam-450	197	9	.	.	PUNCT
ejpam-450	197	10	)	)	PUNCT
ejpam-450	197	11	,	,	PUNCT
ejpam-450	197	12	lect	lect	PROPN
ejpam-450	197	13	.	.	PUNCT
ejpam-450	198	1	notes	note	NOUN
ejpam-450	198	2	comput	comput	ADJ
ejpam-450	198	3	.	.	PUNCT
ejpam-450	199	1	sci	sci	PROPN
ejpam-450	199	2	.	.	PROPN
ejpam-450	200	1	219	219	NUM
ejpam-450	200	2	:	:	PUNCT
ejpam-450	201	1	523–534	523–534	NUM
ejpam-450	201	2	.	.	NOUN
ejpam-450	201	3	1985	1985	NUM
ejpam-450	201	4	.	.	PUNCT
ejpam-450	202	1	[	[	X
ejpam-450	202	2	14	14	NUM
ejpam-450	202	3	]	]	X
ejpam-450	202	4	s.	s.	PROPN
ejpam-450	202	5	wolfram	wolfram	PROPN
ejpam-450	202	6	,	,	PUNCT
ejpam-450	202	7	a	a	DET
ejpam-450	202	8	new	new	ADJ
ejpam-450	202	9	kind	kind	NOUN
ejpam-450	202	10	of	of	ADP
ejpam-450	202	11	science	science	NOUN
ejpam-450	202	12	.	.	PUNCT
ejpam-450	203	1	wolfram	wolfram	PROPN
ejpam-450	203	2	media	media	PROPN
ejpam-450	203	3	inc	inc	PROPN
ejpam-450	203	4	.	.	PROPN
ejpam-450	203	5	,	,	PUNCT
ejpam-450	203	6	champaing	champae	VERB
ejpam-450	203	7	,	,	PUNCT
ejpam-450	203	8	il	il	PROPN
ejpam-450	203	9	,	,	PUNCT
ejpam-450	203	10	2002	2002	NUM
ejpam-450	203	11	.	.	PUNCT
ejpam-450	204	1	[	[	X
ejpam-450	204	2	15	15	NUM
ejpam-450	204	3	]	]	X
ejpam-450	204	4	g.z	g.z	PROPN
ejpam-450	204	5	.	.	PROPN
ejpam-450	204	6	xiao	xiao	PROPN
ejpam-450	204	7	,	,	PUNCT
ejpam-450	204	8	j.l	j.l	PROPN
ejpam-450	204	9	.	.	PROPN
ejpam-450	204	10	massey	massey	PROPN
ejpam-450	204	11	,	,	PUNCT
ejpam-450	204	12	a	a	DET
ejpam-450	204	13	spectral	spectral	ADJ
ejpam-450	204	14	characterization	characterization	NOUN
ejpam-450	204	15	of	of	ADP
ejpam-450	204	16	correlation	correlation	NOUN
ejpam-450	204	17	-	-	PUNCT
ejpam-450	204	18	immune	immune	ADJ
ejpam-450	204	19	combining	combine	VERB
ejpam-450	204	20	functions	function	NOUN
ejpam-450	204	21	,	,	PUNCT
ejpam-450	204	22	ieee	ieee	NOUN
ejpam-450	204	23	trans	tran	NOUN
ejpam-450	204	24	.	.	PUNCT
ejpam-450	205	1	inform	inform	NOUN
ejpam-450	205	2	.	.	PUNCT
ejpam-450	206	1	theory	theory	NOUN
ejpam-450	206	2	34	34	NUM
ejpam-450	206	3	,	,	PUNCT
ejpam-450	206	4	3	3	NUM
ejpam-450	206	5	:	:	PUNCT
ejpam-450	206	6	569–571	569–571	NUM
ejpam-450	206	7	.	.	PUNCT
ejpam-450	206	8	1988	1988	NUM
ejpam-450	206	9	.	.	PUNCT
ejpam-450	207	1	appendix	appendix	NOUN
ejpam-450	207	2	:	:	PUNCT
ejpam-450	207	3	mathematica	mathematica	PROPN
ejpam-450	207	4	code	code	PROPN
ejpam-450	207	5	in	in	ADP
ejpam-450	207	6	this	this	DET
ejpam-450	207	7	appendix	appendix	NOUN
ejpam-450	207	8	the	the	DET
ejpam-450	207	9	mathematica	mathematica	PROPN
ejpam-450	207	10	code	code	PROPN
ejpam-450	207	11	that	that	PRON
ejpam-450	207	12	allows	allow	VERB
ejpam-450	207	13	one	one	PRON
ejpam-450	207	14	to	to	PART
ejpam-450	207	15	obtain	obtain	VERB
ejpam-450	207	16	the	the	DET
ejpam-450	207	17	results	result	NOUN
ejpam-450	207	18	stated	state	VERB
ejpam-450	207	19	in	in	ADP
ejpam-450	207	20	the	the	DET
ejpam-450	207	21	paper	paper	NOUN
ejpam-450	207	22	is	be	AUX
ejpam-450	207	23	shown	show	VERB
ejpam-450	207	24	.	.	PUNCT
ejpam-450	208	1	•	•	ADJ
ejpam-450	208	2	local	local	ADJ
ejpam-450	208	3	transition	transition	NOUN
ejpam-450	208	4	function	function	NOUN
ejpam-450	208	5	of	of	ADP
ejpam-450	208	6	a	a	DET
ejpam-450	208	7	ca	ca	NOUN
ejpam-450	208	8	whose	whose	DET
ejpam-450	208	9	rule	rule	NOUN
ejpam-450	208	10	number	number	NOUN
ejpam-450	208	11	is	be	AUX
ejpam-450	208	12	encoded	encode	VERB
ejpam-450	208	13	in	in	ADP
ejpam-450	208	14	the	the	DET
ejpam-450	208	15	variable	variable	ADJ
ejpam-450	208	16	r	r	NOUN
ejpam-450	208	17	as	as	ADP
ejpam-450	208	18	a	a	DET
ejpam-450	208	19	string	string	NOUN
ejpam-450	208	20	of	of	ADP
ejpam-450	208	21	bits	bit	NOUN
ejpam-450	208	22	:	:	PUNCT
ejpam-450	208	23	f[r_,var_	f[r_,var_	PROPN
ejpam-450	208	24	℄	℄	PROPN
ejpam-450	208	25	:=module[{x1,x2,x3,x4},x1	:=module[{x1,x2,x3,x4},x1	X
ejpam-450	208	26	=	=	SYM
ejpam-450	208	27	var[[1	var[[1	PROPN
ejpam-450	208	28	℄	℄	PROPN
ejpam-450	208	29	℄	℄	PROPN
ejpam-450	208	30	;x2	;x2	PUNCT
ejpam-450	208	31	=	=	PROPN
ejpam-450	208	32	var[[2	var[[2	PROPN
ejpam-450	208	33	℄	℄	PROPN
ejpam-450	208	34	℄	℄	PROPN
ejpam-450	208	35	;x3	;x3	PROPN
ejpam-450	208	36	=	=	PROPN
ejpam-450	208	37	var[[3	var[[3	PROPN
ejpam-450	208	38	℄	℄	PROPN
ejpam-450	208	39	℄	℄	PROPN
ejpam-450	208	40	;x4	;x4	NOUN
ejpam-450	208	41	=	=	SYM
ejpam-450	208	42	var[[4	var[[4	ADJ
ejpam-450	208	43	℄	℄	PROPN
ejpam-450	208	44	℄	℄	PROPN
ejpam-450	208	45	;bitxor[r[[1	;bitxor[r[[1	PROPN
ejpam-450	208	46	℄	℄	PROPN
ejpam-450	208	47	℄	℄	PROPN
ejpam-450	208	48	,bitand[r[[2	,bitand[r[[2	PUNCT
ejpam-450	208	49	℄	℄	PROPN
ejpam-450	208	50	℄	℄	PROPN
ejpam-450	208	51	,x1	,x1	PUNCT
ejpam-450	208	52	℄	℄	PROPN
ejpam-450	208	53	,bitand[r[[3	,bitand[r[[3	PUNCT
ejpam-450	208	54	℄	℄	PROPN
ejpam-450	208	55	℄	℄	PROPN
ejpam-450	208	56	,x2	,x2	PUNCT
ejpam-450	208	57	℄	℄	PROPN
ejpam-450	208	58	,bitand[r[[4	,bitand[r[[4	PUNCT
ejpam-450	208	59	℄	℄	PROPN
ejpam-450	208	60	℄	℄	PROPN
ejpam-450	208	61	,x3	,x3	PUNCT
ejpam-450	208	62	℄	℄	PROPN
ejpam-450	208	63	,bitand[r[[5	,bitand[r[[5	PUNCT
ejpam-450	208	64	℄	℄	PROPN
ejpam-450	208	65	℄	℄	PROPN
ejpam-450	208	66	,x4	,x4	PUNCT
ejpam-450	208	67	℄	℄	PROPN
ejpam-450	208	68	,bitand[r[[6	,bitand[r[[6	PUNCT
ejpam-450	208	69	℄	℄	PROPN
ejpam-450	208	70	℄	℄	PROPN
ejpam-450	208	71	,x1,x2	,x1,x2	PUNCT
ejpam-450	208	72	℄	℄	PROPN
ejpam-450	208	73	,bitand[r[[7	,bitand[r[[7	PUNCT
ejpam-450	208	74	℄	℄	PROPN
ejpam-450	208	75	℄	℄	PROPN
ejpam-450	208	76	,x1,x3	,x1,x3	PUNCT
ejpam-450	208	77	℄	℄	PROPN
ejpam-450	208	78	,bitand[r[[8	,bitand[r[[8	PUNCT
ejpam-450	208	79	℄	℄	PROPN
ejpam-450	208	80	℄	℄	PROPN
ejpam-450	208	81	,x1,x4	,x1,x4	PROPN
ejpam-450	208	82	℄	℄	PROPN
ejpam-450	208	83	,bitand[r[[9	,bitand[r[[9	PUNCT
ejpam-450	208	84	℄	℄	PROPN
ejpam-450	208	85	℄	℄	PROPN
ejpam-450	208	86	,x2,x3	,x2,x3	PUNCT
ejpam-450	208	87	℄	℄	PROPN
ejpam-450	208	88	,bitand[r[[10	,bitand[r[[10	PUNCT
ejpam-450	208	89	℄	℄	PROPN
ejpam-450	208	90	℄	℄	PROPN
ejpam-450	208	91	,x2,x4	,x2,x4	PROPN
ejpam-450	208	92	℄	℄	PROPN
ejpam-450	208	93	,bitand[r[[11	,bitand[r[[11	PUNCT
ejpam-450	208	94	℄	℄	PROPN
ejpam-450	208	95	℄	℄	PROPN
ejpam-450	208	96	,x3,x4	,x3,x4	PUNCT
ejpam-450	208	97	℄	℄	PROPN
ejpam-450	208	98	,bitand[r[[12	,bitand[r[[12	PUNCT
ejpam-450	208	99	℄	℄	PROPN
ejpam-450	208	100	℄	℄	PROPN
ejpam-450	208	101	,x1,x2,x3	,x1,x2,x3	PROPN
ejpam-450	208	102	℄	℄	PROPN
ejpam-450	208	103	,bitand[r[[13	,bitand[r[[13	PUNCT
ejpam-450	208	104	℄	℄	PROPN
ejpam-450	208	105	℄	℄	PROPN
ejpam-450	208	106	,x1,x2,x4	,x1,x2,x4	PUNCT
ejpam-450	208	107	℄	℄	PROPN
ejpam-450	208	108	,bitand[r[[14	,bitand[r[[14	PUNCT
ejpam-450	208	109	℄	℄	PROPN
ejpam-450	208	110	℄	℄	PROPN
ejpam-450	208	111	,x1,x3,x4	,x1,x3,x4	PROPN
ejpam-450	208	112	℄	℄	PROPN
ejpam-450	208	113	,	,	PUNCT
ejpam-450	208	114	references	reference	NOUN
ejpam-450	208	115	774bitand[r[[15	774bitand[r[[15	PROPN
ejpam-450	208	116	℄	℄	PROPN
ejpam-450	208	117	℄	℄	PROPN
ejpam-450	208	118	,x2,x3,x4	,x2,x3,x4	PUNCT
ejpam-450	208	119	℄	℄	PROPN
ejpam-450	208	120	,bitand[r[[16	,bitand[r[[16	PUNCT
ejpam-450	208	121	℄	℄	PROPN
ejpam-450	208	122	℄	℄	PROPN
ejpam-450	208	123	,x1,x2,x3,x4	,x1,x2,x3,x4	PUNCT
ejpam-450	208	124	℄	℄	PROPN
ejpam-450	208	125	℄	℄	PROPN
ejpam-450	208	126	℄	℄	PROPN
ejpam-450	208	127	•	•	NUM
ejpam-450	208	128	computation	computation	NOUN
ejpam-450	208	129	of	of	ADP
ejpam-450	208	130	balanced	balanced	ADJ
ejpam-450	208	131	ca	ca	NOUN
ejpam-450	208	132	.	.	PUNCT
ejpam-450	209	1	their	their	PRON
ejpam-450	209	2	rule	rule	NOUN
ejpam-450	209	3	numbers	number	NOUN
ejpam-450	209	4	are	be	AUX
ejpam-450	209	5	the	the	DET
ejpam-450	209	6	elements	element	NOUN
ejpam-450	209	7	of	of	ADP
ejpam-450	209	8	the	the	DET
ejpam-450	209	9	variablebalan	variablebalan	NOUN
ejpam-450	209	10	ed.balan	ed.balan	X
ejpam-450	209	11	ed	ed	NOUN
ejpam-450	209	12	=	=	PRON
ejpam-450	209	13	{	{	PUNCT
ejpam-450	209	14	}	}	PUNCT
ejpam-450	209	15	;	;	PUNCT
ejpam-450	209	16	do	do	VERB
ejpam-450	209	17	[	[	PUNCT
ejpam-450	209	18	r	r	NOUN
ejpam-450	209	19	=	=	SYM
ejpam-450	209	20	integerdigits[k,2,16	integerdigits[k,2,16	NOUN
ejpam-450	209	21	℄	℄	ADJ
ejpam-450	209	22	;if[count[table[f[r	;if[count[table[f[r	PROPN
ejpam-450	209	23	,	,	PUNCT
ejpam-450	209	24	integerdigits[i,2,4	integerdigits[i,2,4	PROPN
ejpam-450	209	25	℄	℄	PROPN
ejpam-450	209	26	℄	℄	PROPN
ejpam-450	209	27	,{i,0,2	,{i,0,2	PUNCT
ejpam-450	209	28	^	^	SYM
ejpam-450	209	29	4	4	NUM
ejpam-450	209	30	-	-	SYM
ejpam-450	209	31	1}	1}	NUM
ejpam-450	209	32	℄	℄	ADJ
ejpam-450	209	33	,1	,1	PUNCT
ejpam-450	209	34	℄	℄	PROPN
ejpam-450	209	35	==8,appendto[balan	==8,appendto[balan	SYM
ejpam-450	209	36	ed	ed	PROPN
ejpam-450	209	37	,	,	PUNCT
ejpam-450	209	38	k	k	PROPN
ejpam-450	209	39	℄	℄	PROPN
ejpam-450	209	40	℄	℄	PROPN
ejpam-450	209	41	,{k,0,2	,{k,0,2	NOUN
ejpam-450	209	42	^	^	SYM
ejpam-450	209	43	16	16	NUM
ejpam-450	209	44	-	-	SYM
ejpam-450	209	45	1	1	NUM
ejpam-450	209	46	}	}	PUNCT
ejpam-450	209	47	℄	℄	NOUN
ejpam-450	209	48	•	•	ADP
ejpam-450	209	49	clasifying	clasifye	VERB
ejpam-450	209	50	ca	ca	NOUN
ejpam-450	209	51	according	accord	VERB
ejpam-450	209	52	to	to	ADP
ejpam-450	209	53	the	the	DET
ejpam-450	209	54	algebraic	algebraic	ADJ
ejpam-450	209	55	degree	degree	NOUN
ejpam-450	209	56	.	.	PUNCT
ejpam-450	210	1	the	the	DET
ejpam-450	210	2	rule	rule	NOUN
ejpam-450	210	3	ca	ca	NOUN
ejpam-450	210	4	with	with	ADP
ejpam-450	210	5	algebraic	algebraic	ADJ
ejpam-450	210	6	degree	degree	NOUN
ejpam-450	210	7	k	k	PROPN
ejpam-450	210	8	are	be	AUX
ejpam-450	210	9	saved	save	VERB
ejpam-450	210	10	in	in	ADP
ejpam-450	210	11	the	the	DET
ejpam-450	210	12	variable	variable	ADJ
ejpam-450	210	13	ag[k	ag[k	PROPN
ejpam-450	210	14	℄	℄	PROPN
ejpam-450	210	15	.	.	PUNCT
ejpam-450	211	1	(	(	PUNCT
ejpam-450	211	2	*	*	PUNCT
ejpam-450	211	3	algebrai	algebrai	NOUN
ejpam-450	211	4	degree	degree	VERB
ejpam-450	211	5	4	4	NUM
ejpam-450	211	6	*	*	NUM
ejpam-450	211	7	)	)	PUNCT
ejpam-450	211	8	ag[4	ag[4	VERB
ejpam-450	211	9	℄	℄	NOUN
ejpam-450	211	10	={};do	={};do	NUM
ejpam-450	211	11	[	[	PUNCT
ejpam-450	211	12	aux	aux	X
ejpam-450	211	13	=	=	PROPN
ejpam-450	211	14	append[integerdigits[k,2,15	append[integerdigits[k,2,15	PROPN
ejpam-450	211	15	℄	℄	PROPN
ejpam-450	211	16	,1	,1	PUNCT
ejpam-450	211	17	℄	℄	PROPN
ejpam-450	211	18	;appendto[ag[4	;appendto[ag[4	PROPN
ejpam-450	211	19	℄	℄	PROPN
ejpam-450	211	20	,fromdigits[aux,2	,fromdigits[aux,2	PUNCT
ejpam-450	211	21	℄	℄	PROPN
ejpam-450	211	22	℄	℄	PROPN
ejpam-450	211	23	,{k,0,2	,{k,0,2	NOUN
ejpam-450	211	24	^	^	SYM
ejpam-450	211	25	15	15	NUM
ejpam-450	211	26	-	-	SYM
ejpam-450	211	27	1	1	NUM
ejpam-450	211	28	}	}	PUNCT
ejpam-450	211	29	℄	℄	PROPN
ejpam-450	211	30	;	;	PUNCT
ejpam-450	211	31	(	(	PUNCT
ejpam-450	211	32	*	*	PUNCT
ejpam-450	211	33	algebrai	algebrai	NOUN
ejpam-450	211	34	degree	degree	VERB
ejpam-450	211	35	3	3	NUM
ejpam-450	211	36	*	*	NOUN
ejpam-450	211	37	)	)	PUNCT
ejpam-450	211	38	g={};do	g={};do	PROPN
ejpam-450	211	39	[	[	PUNCT
ejpam-450	211	40	aux1	aux1	NOUN
ejpam-450	211	41	=	=	SYM
ejpam-450	211	42	fromdigits[flatten[append[integerdigits[k,2,11	fromdigits[flatten[append[integerdigits[k,2,11	PROPN
ejpam-450	211	43	℄	℄	PROPN
ejpam-450	211	44	,{1,0,0,0,0}	,{1,0,0,0,0}	PUNCT
ejpam-450	211	45	℄	℄	PROPN
ejpam-450	211	46	℄	℄	PROPN
ejpam-450	211	47	,2	,2	PUNCT
ejpam-450	211	48	℄	℄	PROPN
ejpam-450	211	49	;aux2	;aux2	PROPN
ejpam-450	211	50	=	=	SYM
ejpam-450	211	51	fromdigits[flatten[append[integerdigits[k,2,11	fromdigits[flatten[append[integerdigits[k,2,11	PROPN
ejpam-450	211	52	℄	℄	PROPN
ejpam-450	211	53	,{0,1,0,0,0}	,{0,1,0,0,0}	PUNCT
ejpam-450	211	54	℄	℄	PROPN
ejpam-450	211	55	℄	℄	PROPN
ejpam-450	211	56	,2	,2	PUNCT
ejpam-450	211	57	℄	℄	PROPN
ejpam-450	211	58	;aux3	;aux3	ADP
ejpam-450	211	59	=	=	SYM
ejpam-450	211	60	fromdigits[flatten[append[integerdigits[k,2,11	fromdigits[flatten[append[integerdigits[k,2,11	PROPN
ejpam-450	211	61	℄	℄	PROPN
ejpam-450	211	62	,{0,0,1,0,0}	,{0,0,1,0,0}	PROPN
ejpam-450	211	63	℄	℄	PROPN
ejpam-450	211	64	℄	℄	PROPN
ejpam-450	211	65	,2	,2	PUNCT
ejpam-450	211	66	℄	℄	PROPN
ejpam-450	211	67	;aux4	;aux4	NOUN
ejpam-450	211	68	=	=	SYM
ejpam-450	211	69	fromdigits[flatten[append[integerdigits[k,2,11	fromdigits[flatten[append[integerdigits[k,2,11	PROPN
ejpam-450	211	70	℄	℄	PROPN
ejpam-450	211	71	,{0,0,0,1,0}	,{0,0,0,1,0}	PROPN
ejpam-450	211	72	℄	℄	PROPN
ejpam-450	211	73	℄	℄	PROPN
ejpam-450	211	74	,2	,2	PUNCT
ejpam-450	211	75	℄	℄	PROPN
ejpam-450	211	76	;aux5	;aux5	ADJ
ejpam-450	211	77	=	=	SYM
ejpam-450	211	78	fromdigits[flatten[append[integerdigits[k,2,11	fromdigits[flatten[append[integerdigits[k,2,11	PROPN
ejpam-450	211	79	℄	℄	PROPN
ejpam-450	211	80	,{1,1,0,0,0}	,{1,1,0,0,0}	PUNCT
ejpam-450	211	81	℄	℄	PROPN
ejpam-450	211	82	℄	℄	PROPN
ejpam-450	211	83	,2	,2	PUNCT
ejpam-450	211	84	℄	℄	PROPN
ejpam-450	211	85	;aux6	;aux6	PROPN
ejpam-450	211	86	=	=	PROPN
ejpam-450	211	87	fromdigits[flatten[append[integerdigits[k,2,11	fromdigits[flatten[append[integerdigits[k,2,11	PROPN
ejpam-450	211	88	℄	℄	PROPN
ejpam-450	211	89	,{1,0,1,0,0}	,{1,0,1,0,0}	PROPN
ejpam-450	211	90	℄	℄	PROPN
ejpam-450	211	91	℄	℄	PROPN
ejpam-450	211	92	,2	,2	PUNCT
ejpam-450	211	93	℄	℄	PROPN
ejpam-450	211	94	;aux7	;aux7	NOUN
ejpam-450	211	95	=	=	SYM
ejpam-450	211	96	fromdigits[flatten[append[integerdigits[k,2,11	fromdigits[flatten[append[integerdigits[k,2,11	PROPN
ejpam-450	211	97	℄	℄	PROPN
ejpam-450	211	98	,{1,0,0,1,0}	,{1,0,0,1,0}	PUNCT
ejpam-450	211	99	℄	℄	PROPN
ejpam-450	211	100	℄	℄	PROPN
ejpam-450	211	101	,2	,2	PUNCT
ejpam-450	211	102	℄	℄	PROPN
ejpam-450	211	103	;aux8	;aux8	PUNCT
ejpam-450	211	104	=	=	SYM
ejpam-450	211	105	fromdigits[flatten[append[integerdigits[k,2,11	fromdigits[flatten[append[integerdigits[k,2,11	PROPN
ejpam-450	211	106	℄	℄	PROPN
ejpam-450	211	107	,{0,1,1,0,0}	,{0,1,1,0,0}	PROPN
ejpam-450	211	108	℄	℄	PROPN
ejpam-450	211	109	℄	℄	PROPN
ejpam-450	211	110	,2	,2	PUNCT
ejpam-450	211	111	℄	℄	PROPN
ejpam-450	211	112	;	;	PUNCT
ejpam-450	211	113	references	reference	NOUN
ejpam-450	211	114	775aux9	775aux9	NUM
ejpam-450	211	115	=	=	SYM
ejpam-450	211	116	fromdigits[flatten[append[integerdigits[k,2,11	fromdigits[flatten[append[integerdigits[k,2,11	PROPN
ejpam-450	211	117	℄	℄	PROPN
ejpam-450	211	118	,{0,1,0,1,0}	,{0,1,0,1,0}	PUNCT
ejpam-450	211	119	℄	℄	PROPN
ejpam-450	211	120	℄	℄	PROPN
ejpam-450	211	121	,2	,2	PUNCT
ejpam-450	211	122	℄	℄	PROPN
ejpam-450	211	123	;aux10	;aux10	ADP
ejpam-450	211	124	=	=	SYM
ejpam-450	211	125	fromdigits[flatten[append[integerdigits[k,2,11	fromdigits[flatten[append[integerdigits[k,2,11	PROPN
ejpam-450	211	126	℄	℄	PROPN
ejpam-450	211	127	,{0,0,1,1,0}	,{0,0,1,1,0}	PUNCT
ejpam-450	211	128	℄	℄	PROPN
ejpam-450	211	129	℄	℄	PROPN
ejpam-450	211	130	,2	,2	PUNCT
ejpam-450	211	131	℄	℄	PROPN
ejpam-450	211	132	;aux11	;aux11	ADP
ejpam-450	211	133	=	=	PROPN
ejpam-450	211	134	fromdigits[flatten[append[integerdigits[k,2,11	fromdigits[flatten[append[integerdigits[k,2,11	PROPN
ejpam-450	211	135	℄	℄	PROPN
ejpam-450	211	136	,{1,1,1,0,0}	,{1,1,1,0,0}	PROPN
ejpam-450	211	137	℄	℄	PROPN
ejpam-450	211	138	℄	℄	PROPN
ejpam-450	211	139	,2	,2	PUNCT
ejpam-450	211	140	℄	℄	PROPN
ejpam-450	211	141	;aux12	;aux12	PUNCT
ejpam-450	211	142	=	=	SYM
ejpam-450	211	143	fromdigits[flatten[append[integerdigits[k,2,11	fromdigits[flatten[append[integerdigits[k,2,11	PROPN
ejpam-450	211	144	℄	℄	PROPN
ejpam-450	211	145	,{1,1,0,1,0}	,{1,1,0,1,0}	PROPN
ejpam-450	211	146	℄	℄	PROPN
ejpam-450	211	147	℄	℄	PROPN
ejpam-450	211	148	,2	,2	PUNCT
ejpam-450	211	149	℄	℄	PROPN
ejpam-450	211	150	;aux13	;aux13	ADP
ejpam-450	211	151	=	=	SYM
ejpam-450	211	152	fromdigits[flatten[append[integerdigits[k,2,11	fromdigits[flatten[append[integerdigits[k,2,11	PROPN
ejpam-450	211	153	℄	℄	PROPN
ejpam-450	211	154	,{1,0,1,1,0}	,{1,0,1,1,0}	PROPN
ejpam-450	211	155	℄	℄	PROPN
ejpam-450	211	156	℄	℄	PROPN
ejpam-450	211	157	,2	,2	PUNCT
ejpam-450	211	158	℄	℄	PROPN
ejpam-450	211	159	;aux14	;aux14	PROPN
ejpam-450	211	160	=	=	PROPN
ejpam-450	211	161	fromdigits[flatten[append[integerdigits[k,2,11	fromdigits[flatten[append[integerdigits[k,2,11	PROPN
ejpam-450	211	162	℄	℄	PROPN
ejpam-450	211	163	,{0,1,1,1,0}	,{0,1,1,1,0}	PUNCT
ejpam-450	211	164	℄	℄	PROPN
ejpam-450	211	165	℄	℄	PROPN
ejpam-450	211	166	,2	,2	PUNCT
ejpam-450	211	167	℄	℄	PROPN
ejpam-450	211	168	;aux15	;aux15	PROPN
ejpam-450	211	169	=	=	SYM
ejpam-450	211	170	fromdigits[flatten[append[integerdigits[k,2,11	fromdigits[flatten[append[integerdigits[k,2,11	PROPN
ejpam-450	211	171	℄	℄	PROPN
ejpam-450	211	172	,{1,1,1,1,0}	,{1,1,1,1,0}	PUNCT
ejpam-450	211	173	℄	℄	PROPN
ejpam-450	211	174	℄	℄	PROPN
ejpam-450	211	175	,2	,2	PUNCT
ejpam-450	211	176	℄	℄	PROPN
ejpam-450	211	177	;flatten[appendto[g,{aux1,aux2,aux3,aux4,aux5,aux6,aux7,aux8,aux9,aux10,aux11,aux12,aux13	;flatten[appendto[g,{aux1,aux2,aux3,aux4,aux5,aux6,aux7,aux8,aux9,aux10,aux11,aux12,aux13	X
ejpam-450	211	178	,	,	PUNCT
ejpam-450	211	179	aux14,aux15}	aux14,aux15}	PROPN
ejpam-450	211	180	℄	℄	PROPN
ejpam-450	211	181	℄	℄	PROPN
ejpam-450	211	182	,{k,0,2	,{k,0,2	NOUN
ejpam-450	211	183	^	^	SYM
ejpam-450	211	184	11	11	NUM
ejpam-450	211	185	-	-	SYM
ejpam-450	211	186	1}	1}	NUM
ejpam-450	211	187	℄	℄	PROPN
ejpam-450	211	188	;ag[3	;ag[3	PROPN
ejpam-450	211	189	℄	℄	PROPN
ejpam-450	211	190	=flatten[g	=flatten[g	PROPN
ejpam-450	211	191	℄	℄	PROPN
ejpam-450	211	192	;	;	PUNCT
ejpam-450	211	193	(	(	PUNCT
ejpam-450	211	194	*	*	PUNCT
ejpam-450	211	195	algebrai	algebrai	NOUN
ejpam-450	211	196	degree	degree	VERB
ejpam-450	211	197	1	1	NUM
ejpam-450	211	198	*	*	SYM
ejpam-450	211	199	)	)	PUNCT
ejpam-450	211	200	ag[1	ag[1	PROPN
ejpam-450	211	201	℄	℄	NOUN
ejpam-450	211	202	={};do	={};do	NUM
ejpam-450	211	203	[	[	PUNCT
ejpam-450	211	204	aux16	aux16	PROPN
ejpam-450	211	205	=	=	PUNCT
ejpam-450	211	206	fromdigits[flatten[reverse[append[integerdigits[k,2,5	fromdigits[flatten[reverse[append[integerdigits[k,2,5	PROPN
ejpam-450	211	207	℄	℄	PROPN
ejpam-450	211	208	,{0,0,0,0,0,0,0,0,0,0,0}	,{0,0,0,0,0,0,0,0,0,0,0}	PUNCT
ejpam-450	211	209	℄	℄	PROPN
ejpam-450	211	210	℄	℄	PROPN
ejpam-450	211	211	℄	℄	PROPN
ejpam-450	211	212	,2	,2	PUNCT
ejpam-450	211	213	℄	℄	PROPN
ejpam-450	211	214	;appendto[ag[1	;appendto[ag[1	PROPN
ejpam-450	211	215	℄	℄	PROPN
ejpam-450	211	216	,aux16	,aux16	PUNCT
ejpam-450	211	217	℄	℄	PROPN
ejpam-450	211	218	,{k,0,2	,{k,0,2	PUNCT
ejpam-450	211	219	^	^	SYM
ejpam-450	211	220	5	5	NUM
ejpam-450	211	221	-	-	SYM
ejpam-450	211	222	1	1	NUM
ejpam-450	211	223	}	}	PUNCT
ejpam-450	211	224	℄	℄	PROPN
ejpam-450	211	225	(	(	PUNCT
ejpam-450	211	226	*	*	PUNCT
ejpam-450	211	227	algebrai	algebrai	NOUN
ejpam-450	211	228	degree	degree	NOUN
ejpam-450	211	229	2	2	NUM
ejpam-450	211	230	*	*	NOUN
ejpam-450	211	231	)	)	PUNCT
ejpam-450	211	232	total	total	ADJ
ejpam-450	211	233	=	=	SYM
ejpam-450	211	234	table[k,{k,0,2	table[k,{k,0,2	NOUN
ejpam-450	211	235	^	^	SYM
ejpam-450	211	236	16	16	NUM
ejpam-450	211	237	-	-	PUNCT
ejpam-450	211	238	1}	1}	PROPN
ejpam-450	211	239	℄	℄	NOUN
ejpam-450	211	240	;aux17	;aux17	NOUN
ejpam-450	211	241	=	=	SYM
ejpam-450	211	242	union[ag[4	union[ag[4	NOUN
ejpam-450	211	243	℄	℄	PROPN
ejpam-450	211	244	,ag[3	,ag[3	PUNCT
ejpam-450	211	245	℄	℄	PROPN
ejpam-450	211	246	,ag[1	,ag[1	PUNCT
ejpam-450	211	247	℄	℄	PROPN
ejpam-450	211	248	,{0}	,{0}	PUNCT
ejpam-450	211	249	℄	℄	PROPN
ejpam-450	211	250	;ag[2	;ag[2	PROPN
ejpam-450	211	251	℄	℄	PROPN
ejpam-450	211	252	=complement[total	=complement[total	PROPN
ejpam-450	211	253	,	,	PUNCT
ejpam-450	211	254	aux17	aux17	PROPN
ejpam-450	211	255	℄	℄	PROPN
ejpam-450	211	256	;	;	PUNCT
ejpam-450	211	257	•	•	NUM
ejpam-450	211	258	computation	computation	NOUN
ejpam-450	211	259	of	of	ADP
ejpam-450	211	260	the	the	DET
ejpam-450	211	261	non	non	NOUN
ejpam-450	211	262	-	-	NOUN
ejpam-450	211	263	linearity	linearity	NOUN
ejpam-450	211	264	.	.	PUNCT
ejpam-450	212	1	the	the	DET
ejpam-450	212	2	balanced	balanced	ADJ
ejpam-450	212	3	ca	ca	NOUN
ejpam-450	212	4	of	of	ADP
ejpam-450	212	5	algebraic	algebraic	ADJ
ejpam-450	212	6	degree	degree	NOUN
ejpam-450	212	7	3	3	NUM
ejpam-450	212	8	(	(	PUNCT
ejpam-450	212	9	resp	resp	NOUN
ejpam-450	212	10	.	.	PUNCT
ejpam-450	212	11	2	2	NUM
ejpam-450	212	12	)	)	PUNCT
ejpam-450	212	13	with	with	ADP
ejpam-450	212	14	non	non	ADJ
ejpam-450	212	15	-	-	ADJ
ejpam-450	212	16	linearity	linearity	NOUN
ejpam-450	212	17	equals	equal	VERB
ejpam-450	212	18	to	to	ADP
ejpam-450	212	19	k	k	PROPN
ejpam-450	212	20	is	be	AUX
ejpam-450	212	21	saved	save	VERB
ejpam-450	212	22	in	in	ADP
ejpam-450	212	23	the	the	DET
ejpam-450	212	24	variable	variable	ADJ
ejpam-450	212	25	nlbalgrad3[k	nlbalgrad3[k	PROPN
ejpam-450	212	26	℄	℄	PROPN
ejpam-450	212	27	(	(	PUNCT
ejpam-450	212	28	resp	resp	NOUN
ejpam-450	212	29	.	.	PUNCT
ejpam-450	213	1	nlbalgrad2[k	nlbalgrad2[k	PROPN
ejpam-450	213	2	℄	℄	PROPN
ejpam-450	213	3	)	)	PUNCT
ejpam-450	213	4	.	.	PUNCT
ejpam-450	214	1	(	(	PUNCT
ejpam-450	214	2	*	*	PUNCT
ejpam-450	214	3	definition	definition	NOUN
ejpam-450	214	4	of	of	ADP
ejpam-450	214	5	the	the	DET
ejpam-450	214	6	hamming	hamming	NOUN
ejpam-450	214	7	weight	weight	NOUN
ejpam-450	214	8	of	of	ADP
ejpam-450	214	9	a	a	DET
ejpam-450	214	10	ve	ve	NOUN
ejpam-450	214	11	tor	tor	NOUN
ejpam-450	214	12	*	*	NOUN
ejpam-450	214	13	)	)	PUNCT
ejpam-450	214	14	wh[w_	wh[w_	PROPN
ejpam-450	214	15	℄	℄	PROPN
ejpam-450	214	16	:=count[w,1	:=count[w,1	PROPN
ejpam-450	214	17	℄	℄	PROPN
ejpam-450	214	18	;	;	PUNCT
ejpam-450	214	19	(	(	PUNCT
ejpam-450	214	20	*	*	PUNCT
ejpam-450	214	21	definition	definition	NOUN
ejpam-450	214	22	of	of	ADP
ejpam-450	214	23	hamming	ham	VERB
ejpam-450	214	24	weight	weight	NOUN
ejpam-450	214	25	of	of	ADP
ejpam-450	214	26	a	a	DET
ejpam-450	214	27	boolean	boolean	ADJ
ejpam-450	214	28	fun	fun	NOUN
ejpam-450	214	29	tion	tion	NOUN
ejpam-450	214	30	*	*	PUNCT
ejpam-450	214	31	)	)	PUNCT
ejpam-450	215	1	wh[x_	wh[x_	PROPN
ejpam-450	215	2	℄	℄	PROPN
ejpam-450	215	3	:=count[table[f[integerdigits[x,2,16	:=count[table[f[integerdigits[x,2,16	PROPN
ejpam-450	215	4	℄	℄	PROPN
ejpam-450	215	5	,integerdigits[i,2,4	,integerdigits[i,2,4	PUNCT
ejpam-450	215	6	℄	℄	PROPN
ejpam-450	215	7	℄	℄	PROPN
ejpam-450	215	8	,{i,0,2	,{i,0,2	PUNCT
ejpam-450	215	9	^	^	SYM
ejpam-450	215	10	4	4	NUM
ejpam-450	215	11	-	-	SYM
ejpam-450	215	12	1}	1}	NUM
ejpam-450	215	13	℄	℄	PROPN
ejpam-450	215	14	,1	,1	PUNCT
ejpam-450	215	15	℄	℄	PROPN
ejpam-450	215	16	;	;	PUNCT
ejpam-450	215	17	(	(	PUNCT
ejpam-450	215	18	*	*	PUNCT
ejpam-450	215	19	definition	definition	NOUN
ejpam-450	215	20	of	of	ADP
ejpam-450	215	21	the	the	DET
ejpam-450	215	22	hamming	ham	VERB
ejpam-450	215	23	distan	distan	ADJ
ejpam-450	215	24	e	e	NOUN
ejpam-450	215	25	*	*	PUNCT
ejpam-450	215	26	)	)	PUNCT
ejpam-450	215	27	references	reference	NOUN
ejpam-450	215	28	776dh[x	776dh[x	NUM
ejpam-450	215	29	_	_	NOUN
ejpam-450	215	30	,	,	PUNCT
ejpam-450	215	31	y_	y_	PROPN
ejpam-450	215	32	℄	℄	ADJ
ejpam-450	215	33	:=module[{z},z	:=module[{z},z	PROPN
ejpam-450	215	34	=	=	NOUN
ejpam-450	215	35	bitxor[x	bitxor[x	PROPN
ejpam-450	215	36	,	,	PUNCT
ejpam-450	215	37	y	y	PROPN
ejpam-450	215	38	℄	℄	PROPN
ejpam-450	215	39	;wh[z	;wh[z	PROPN
ejpam-450	215	40	℄	℄	PROPN
ejpam-450	215	41	℄	℄	PROPN
ejpam-450	215	42	;affin	;affin	PROPN
ejpam-450	215	43	=	=	PROPN
ejpam-450	215	44	ag[1	ag[1	PROPN
ejpam-450	215	45	℄	℄	PROPN
ejpam-450	215	46	;	;	PUNCT
ejpam-450	215	47	lass	lass	NOUN
ejpam-450	215	48	=	=	NOUN
ejpam-450	215	49	interse	interse	NOUN
ejpam-450	216	1	tion[balan	tion[balan	PROPN
ejpam-450	216	2	ed	ed	NOUN
ejpam-450	216	3	,	,	PUNCT
ejpam-450	216	4	ag[3	ag[3	PROPN
ejpam-450	216	5	℄	℄	PROPN
ejpam-450	216	6	℄	℄	PROPN
ejpam-450	216	7	;do	;do	PROPN
ejpam-450	216	8	[	[	PUNCT
ejpam-450	216	9	x=	x=	ADJ
ejpam-450	216	10	lass[[j	lass[[j	PROPN
ejpam-450	216	11	℄	℄	PROPN
ejpam-450	216	12	℄	℄	PROPN
ejpam-450	216	13	;dis[x	;dis[x	PROPN
ejpam-450	216	14	℄	℄	PROPN
ejpam-450	216	15	=table[dh[x	=table[dh[x	PROPN
ejpam-450	216	16	,	,	PUNCT
ejpam-450	216	17	affin[[i	affin[[i	PROPN
ejpam-450	216	18	℄	℄	PROPN
ejpam-450	216	19	℄	℄	PROPN
ejpam-450	216	20	℄	℄	PROPN
ejpam-450	216	21	,{i,1,length[affin	,{i,1,length[affin	PUNCT
ejpam-450	216	22	℄	℄	PROPN
ejpam-450	216	23	}	}	PUNCT
ejpam-450	216	24	℄	℄	PROPN
ejpam-450	216	25	;nl[x	;nl[x	PROPN
ejpam-450	216	26	℄	℄	PROPN
ejpam-450	216	27	=min[dis[x	=min[dis[x	PROPN
ejpam-450	216	28	℄	℄	PROPN
ejpam-450	216	29	℄	℄	PROPN
ejpam-450	216	30	,{j,1,length	,{j,1,length	NOUN
ejpam-450	216	31	[	[	PUNCT
ejpam-450	216	32	lass	lass	PROPN
ejpam-450	216	33	℄	℄	PROPN
ejpam-450	216	34	}	}	PUNCT
ejpam-450	216	35	℄	℄	ADJ
ejpam-450	216	36	;do[nlbalgrad3[k	;do[nlbalgrad3[k	PROPN
ejpam-450	216	37	℄	℄	PROPN
ejpam-450	216	38	={},{k,0,6}	={},{k,0,6}	NOUN
ejpam-450	216	39	℄	℄	PROPN
ejpam-450	217	1	;do	;do	PROPN
ejpam-450	217	2	[	[	PUNCT
ejpam-450	217	3	x=	x=	ADJ
ejpam-450	217	4	lass[[j	lass[[j	PROPN
ejpam-450	217	5	℄	℄	PROPN
ejpam-450	217	6	℄	℄	PROPN
ejpam-450	217	7	;whi	;whi	PROPN
ejpam-450	217	8	h[nl[x	h[nl[x	PROPN
ejpam-450	217	9	℄	℄	PROPN
ejpam-450	217	10	==6,appendto[nlbalgrad3[6	==6,appendto[nlbalgrad3[6	PROPN
ejpam-450	217	11	℄	℄	PROPN
ejpam-450	217	12	,x	,x	PUNCT
ejpam-450	217	13	℄	℄	PROPN
ejpam-450	217	14	,nl[x	,nl[x	PUNCT
ejpam-450	217	15	℄	℄	PROPN
ejpam-450	217	16	==5,appendto[nlbalgrad3[5	==5,appendto[nlbalgrad3[5	NOUN
ejpam-450	217	17	℄	℄	PROPN
ejpam-450	217	18	,x	,x	PUNCT
ejpam-450	217	19	℄	℄	PROPN
ejpam-450	217	20	,nl[x	,nl[x	PUNCT
ejpam-450	217	21	℄	℄	PROPN
ejpam-450	217	22	==4,appendto[nlbalgrad3[4	==4,appendto[nlbalgrad3[4	PROPN
ejpam-450	217	23	℄	℄	PROPN
ejpam-450	217	24	,x	,x	PUNCT
ejpam-450	217	25	℄	℄	PROPN
ejpam-450	217	26	,nl[x	,nl[x	PUNCT
ejpam-450	217	27	℄	℄	PROPN
ejpam-450	217	28	==3,appendto[nlbalgrad3[3	==3,appendto[nlbalgrad3[3	PROPN
ejpam-450	217	29	℄	℄	PROPN
ejpam-450	217	30	,x	,x	PROPN
ejpam-450	217	31	℄	℄	PROPN
ejpam-450	217	32	,nl[x	,nl[x	PUNCT
ejpam-450	217	33	℄	℄	PROPN
ejpam-450	217	34	==2,appendto[nlbalgrad3[2	==2,appendto[nlbalgrad3[2	X
ejpam-450	217	35	℄	℄	PROPN
ejpam-450	217	36	,x	,x	PUNCT
ejpam-450	217	37	℄	℄	PROPN
ejpam-450	217	38	,nl[x	,nl[x	PUNCT
ejpam-450	217	39	℄	℄	PROPN
ejpam-450	217	40	==1,appendto[nlbalgrad3[1	==1,appendto[nlbalgrad3[1	PROPN
ejpam-450	217	41	℄	℄	PROPN
ejpam-450	217	42	,x	,x	PUNCT
ejpam-450	217	43	℄	℄	PROPN
ejpam-450	217	44	,nl[x	,nl[x	PUNCT
ejpam-450	217	45	℄	℄	PROPN
ejpam-450	217	46	==0,appendto[nlbalgrad3[0	==0,appendto[nlbalgrad3[0	PROPN
ejpam-450	217	47	℄	℄	PROPN
ejpam-450	217	48	,x	,x	PUNCT
ejpam-450	217	49	℄	℄	PROPN
ejpam-450	217	50	℄	℄	PROPN
ejpam-450	217	51	,{j,1,length	,{j,1,length	NOUN
ejpam-450	217	52	[	[	PUNCT
ejpam-450	217	53	lase	lase	NOUN
ejpam-450	217	54	℄	℄	PROPN
ejpam-450	217	55	}	}	PUNCT
ejpam-450	217	56	℄	℄	PROPN
ejpam-450	217	57	;	;	PUNCT
ejpam-450	217	58	lass	lass	NOUN
ejpam-450	217	59	=	=	NOUN
ejpam-450	217	60	interse	interse	NOUN
ejpam-450	217	61	tion[balan	tion[balan	NOUN
ejpam-450	218	1	ed	ed	NOUN
ejpam-450	218	2	,	,	PUNCT
ejpam-450	218	3	ag[2	ag[2	PROPN
ejpam-450	218	4	℄	℄	PROPN
ejpam-450	218	5	℄	℄	PROPN
ejpam-450	218	6	;do	;do	PROPN
ejpam-450	218	7	[	[	PUNCT
ejpam-450	218	8	x=	x=	ADJ
ejpam-450	218	9	lass[[j	lass[[j	PROPN
ejpam-450	218	10	℄	℄	PROPN
ejpam-450	218	11	℄	℄	PROPN
ejpam-450	218	12	;dis[x	;dis[x	X
ejpam-450	218	13	℄	℄	PROPN
ejpam-450	218	14	=	=	SYM
ejpam-450	218	15	table[dh[x	table[dh[x	PROPN
ejpam-450	218	16	,	,	PUNCT
ejpam-450	218	17	afines[[i	afines[[i	PROPN
ejpam-450	218	18	℄	℄	PROPN
ejpam-450	218	19	℄	℄	PROPN
ejpam-450	218	20	℄	℄	PROPN
ejpam-450	218	21	,{i,1,length[affin	,{i,1,length[affin	PUNCT
ejpam-450	218	22	℄	℄	PROPN
ejpam-450	218	23	}	}	PUNCT
ejpam-450	218	24	℄	℄	PROPN
ejpam-450	218	25	;nl[x	;nl[x	PROPN
ejpam-450	218	26	℄	℄	PROPN
ejpam-450	218	27	=min[dis[x	=min[dis[x	PROPN
ejpam-450	218	28	℄	℄	PROPN
ejpam-450	218	29	℄	℄	PROPN
ejpam-450	218	30	,{j,1,length	,{j,1,length	NOUN
ejpam-450	218	31	[	[	PUNCT
ejpam-450	218	32	lass	lass	PROPN
ejpam-450	218	33	℄	℄	PROPN
ejpam-450	218	34	}	}	PUNCT
ejpam-450	218	35	℄	℄	PROPN
ejpam-450	218	36	;do[nlbalgrad2[k	;do[nlbalgrad2[k	X
ejpam-450	218	37	℄	℄	PROPN
ejpam-450	218	38	={},{k,0,6}	={},{k,0,6}	X
ejpam-450	218	39	℄	℄	PROPN
ejpam-450	218	40	;do	;do	PROPN
ejpam-450	218	41	[	[	PUNCT
ejpam-450	218	42	x=	x=	ADJ
ejpam-450	218	43	lass[[j	lass[[j	PROPN
ejpam-450	218	44	℄	℄	PROPN
ejpam-450	218	45	℄	℄	PROPN
ejpam-450	218	46	;whi	;whi	PROPN
ejpam-450	218	47	h[nl[x	h[nl[x	PROPN
ejpam-450	218	48	℄	℄	PROPN
ejpam-450	218	49	==6,appendto[nlbalgrad2[6	==6,appendto[nlbalgrad2[6	PROPN
ejpam-450	218	50	℄	℄	PROPN
ejpam-450	218	51	,x	,x	PUNCT
ejpam-450	218	52	℄	℄	PROPN
ejpam-450	218	53	,nl[x	,nl[x	PUNCT
ejpam-450	218	54	℄	℄	PROPN
ejpam-450	218	55	==5,appendto[nlbalgrad2[5	==5,appendto[nlbalgrad2[5	PROPN
ejpam-450	218	56	℄	℄	PROPN
ejpam-450	218	57	,x	,x	PROPN
ejpam-450	218	58	℄	℄	PROPN
ejpam-450	218	59	,nl[x	,nl[x	PUNCT
ejpam-450	218	60	℄	℄	PROPN
ejpam-450	218	61	==4,appendto[nlbalgrad2[4	==4,appendto[nlbalgrad2[4	PROPN
ejpam-450	218	62	℄	℄	PROPN
ejpam-450	218	63	,x	,x	PUNCT
ejpam-450	218	64	℄	℄	PROPN
ejpam-450	218	65	,nl[x	,nl[x	PUNCT
ejpam-450	218	66	℄	℄	PROPN
ejpam-450	218	67	==3,appendto[nlbalgrad2[3	==3,appendto[nlbalgrad2[3	PROPN
ejpam-450	218	68	℄	℄	PROPN
ejpam-450	218	69	,x	,x	PUNCT
ejpam-450	218	70	℄	℄	PROPN
ejpam-450	218	71	,nl[x	,nl[x	PUNCT
ejpam-450	218	72	℄	℄	PROPN
ejpam-450	218	73	==2,appendto[nlbalgrad2[2	==2,appendto[nlbalgrad2[2	NOUN
ejpam-450	218	74	℄	℄	PROPN
ejpam-450	218	75	,x	,x	PUNCT
ejpam-450	218	76	℄	℄	PROPN
ejpam-450	218	77	,nl[x	,nl[x	PUNCT
ejpam-450	218	78	℄	℄	PROPN
ejpam-450	218	79	==1,appendto[nlbalgrad2[1	==1,appendto[nlbalgrad2[1	X
ejpam-450	218	80	℄	℄	PROPN
ejpam-450	218	81	,x	,x	PUNCT
ejpam-450	218	82	℄	℄	PROPN
ejpam-450	218	83	,nl[x	,nl[x	PUNCT
ejpam-450	218	84	℄	℄	PROPN
ejpam-450	218	85	==0,appendto[nlbalgrad2[0	==0,appendto[nlbalgrad2[0	PROPN
ejpam-450	218	86	℄	℄	PROPN
ejpam-450	218	87	,x	,x	PUNCT
ejpam-450	218	88	℄	℄	PROPN
ejpam-450	218	89	℄	℄	PROPN
ejpam-450	218	90	,{j,1,length	,{j,1,length	PROPN
ejpam-450	218	91	[	[	PUNCT
ejpam-450	218	92	lass	lass	PROPN
ejpam-450	218	93	℄	℄	PROPN
ejpam-450	218	94	}	}	PUNCT
ejpam-450	218	95	℄	℄	PROPN
ejpam-450	218	96	;	;	PUNCT
ejpam-450	218	97	references	reference	NOUN
ejpam-450	218	98	777	777	NUM
ejpam-450	218	99	•	•	NUM
ejpam-450	218	100	study	study	NOUN
ejpam-450	218	101	of	of	ADP
ejpam-450	218	102	the	the	DET
ejpam-450	218	103	non	non	NOUN
ejpam-450	218	104	-	-	NOUN
ejpam-450	218	105	existence	existence	NOUN
ejpam-450	218	106	of	of	ADP
ejpam-450	218	107	nonzero	nonzero	PROPN
ejpam-450	218	108	linear	linear	PROPN
ejpam-450	218	109	structures	structure	NOUN
ejpam-450	218	110	.	.	PUNCT
ejpam-450	219	1	the	the	DET
ejpam-450	219	2	results	result	NOUN
ejpam-450	219	3	are	be	AUX
ejpam-450	219	4	saved	save	VERB
ejpam-450	219	5	in	in	ADP
ejpam-450	219	6	the	the	DET
ejpam-450	219	7	variables	variable	NOUN
ejpam-450	219	8	nl4balgrad3lk	nl4balgrad3lk	ADV
ejpam-450	219	9	,	,	PUNCT
ejpam-450	219	10	nl2balgrad2lk	nl2balgrad2lk	ADV
ejpam-450	219	11	and	and	CCONJ
ejpam-450	219	12	nl4balgrad2lk	nl4balgrad2lk	PROPN
ejpam-450	219	13	.	.	PUNCT
ejpam-450	220	1	(	(	PUNCT
ejpam-450	220	2	*	*	PUNCT
ejpam-450	220	3	definition	definition	NOUN
ejpam-450	220	4	of	of	ADP
ejpam-450	220	5	the	the	DET
ejpam-450	220	6	derivative	derivative	NOUN
ejpam-450	220	7	of	of	ADP
ejpam-450	220	8	a	a	DET
ejpam-450	220	9	boolean	boolean	ADJ
ejpam-450	220	10	fun	fun	NOUN
ejpam-450	220	11	tion	tion	NOUN
ejpam-450	220	12	*	*	PUNCT
ejpam-450	220	13	)	)	PUNCT
ejpam-450	220	14	der[w	der[w	PROPN
ejpam-450	220	15	,	,	PUNCT
ejpam-450	220	16	b	b	X
ejpam-450	220	17	,	,	PUNCT
ejpam-450	220	18	x	x	NOUN
ejpam-450	220	19	℄	℄	PROPN
ejpam-450	220	20	:=bitxor[f[integerdigits[w,2,16	:=bitxor[f[integerdigits[w,2,16	PROPN
ejpam-450	220	21	℄	℄	PROPN
ejpam-450	220	22	,x	,x	PUNCT
ejpam-450	220	23	℄	℄	PROPN
ejpam-450	220	24	,f[integerdigits[w,2,16	,f[integerdigits[w,2,16	PUNCT
ejpam-450	220	25	℄	℄	PROPN
ejpam-450	220	26	,bitxor[b	,bitxor[b	PUNCT
ejpam-450	220	27	,	,	PUNCT
ejpam-450	220	28	x	x	PROPN
ejpam-450	220	29	℄	℄	PROPN
ejpam-450	220	30	℄	℄	PROPN
ejpam-450	220	31	℄	℄	PROPN
ejpam-450	220	32	;	;	PUNCT
ejpam-450	220	33	lass	lass	PROPN
ejpam-450	220	34	=	=	SYM
ejpam-450	220	35	nlbalgrad3[4	nlbalgrad3[4	PROPN
ejpam-450	220	36	℄	℄	NOUN
ejpam-450	220	37	;nl4balgrad3lk={};do	;nl4balgrad3lk={};do	NOUN
ejpam-450	220	38	[	[	PUNCT
ejpam-450	220	39	w=	w=	NOUN
ejpam-450	220	40	lass[[l	lass[[l	PROPN
ejpam-450	220	41	℄	℄	PROPN
ejpam-450	220	42	℄	℄	PROPN
ejpam-450	220	43	;lk[w	;lk[w	PROPN
ejpam-450	220	44	℄	℄	PROPN
ejpam-450	220	45	={};do	={};do	PROPN
ejpam-450	220	46	[	[	PUNCT
ejpam-450	220	47	if	if	SCONJ
ejpam-450	220	48	[	[	PUNCT
ejpam-450	220	49	or[table[der[w	or[table[der[w	ADJ
ejpam-450	220	50	,	,	PUNCT
ejpam-450	220	51	integerdigits[i,2,4	integerdigits[i,2,4	PROPN
ejpam-450	220	52	℄	℄	PROPN
ejpam-450	220	53	,integerdigits[j,2,4	,integerdigits[j,2,4	PUNCT
ejpam-450	220	54	℄	℄	PROPN
ejpam-450	220	55	℄	℄	PROPN
ejpam-450	220	56	,{j,0,2	,{j,0,2	PUNCT
ejpam-450	220	57	^	^	SYM
ejpam-450	220	58	4	4	NUM
ejpam-450	220	59	-	-	SYM
ejpam-450	220	60	1}	1}	NUM
ejpam-450	220	61	℄	℄	NOUN
ejpam-450	220	62	=={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},table[der[w	=={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},table[der[w	PROPN
ejpam-450	220	63	,	,	PUNCT
ejpam-450	220	64	integerdigits[i,2,4	integerdigits[i,2,4	PROPN
ejpam-450	220	65	℄	℄	PROPN
ejpam-450	220	66	,integerdigits[j,2,4	,integerdigits[j,2,4	PUNCT
ejpam-450	220	67	℄	℄	PROPN
ejpam-450	220	68	℄	℄	PROPN
ejpam-450	220	69	,{j,0,2	,{j,0,2	PUNCT
ejpam-450	220	70	^	^	SYM
ejpam-450	220	71	4	4	NUM
ejpam-450	220	72	-	-	SYM
ejpam-450	220	73	1}	1}	NUM
ejpam-450	220	74	℄	℄	PROPN
ejpam-450	220	75	=={1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1}	=={1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1}	NOUN
ejpam-450	220	76	℄	℄	PROPN
ejpam-450	220	77	,appendto[lk[w	,appendto[lk[w	PUNCT
ejpam-450	220	78	℄	℄	PROPN
ejpam-450	220	79	,i	,i	PUNCT
ejpam-450	220	80	℄	℄	PROPN
ejpam-450	220	81	℄	℄	PROPN
ejpam-450	220	82	,{i,0,2	,{i,0,2	PUNCT
ejpam-450	220	83	^	^	SYM
ejpam-450	220	84	4	4	NUM
ejpam-450	220	85	-	-	SYM
ejpam-450	220	86	1}	1}	NUM
ejpam-450	220	87	℄	℄	PROPN
ejpam-450	220	88	;if[lk[w	;if[lk[w	ADJ
ejpam-450	220	89	℄	℄	NOUN
ejpam-450	220	90	=={0},appendto[nl4balgrad3lk	=={0},appendto[nl4balgrad3lk	NOUN
ejpam-450	220	91	,	,	PUNCT
ejpam-450	220	92	w	w	PROPN
ejpam-450	220	93	℄	℄	PROPN
ejpam-450	220	94	℄	℄	ADJ
ejpam-450	220	95	,{l,1,length	,{l,1,length	NOUN
ejpam-450	220	96	[	[	PUNCT
ejpam-450	220	97	lass	lass	PROPN
ejpam-450	220	98	℄	℄	PROPN
ejpam-450	220	99	}	}	PUNCT
ejpam-450	220	100	℄	℄	PROPN
ejpam-450	220	101	;	;	PUNCT
ejpam-450	220	102	lass	lass	PROPN
ejpam-450	220	103	=	=	SYM
ejpam-450	220	104	nlbalgrad3[2	nlbalgrad3[2	PROPN
ejpam-450	220	105	℄	℄	ADJ
ejpam-450	220	106	;nl2balgrad3lk	;nl2balgrad3lk	NOUN
ejpam-450	221	1	=	=	NOUN
ejpam-450	221	2	{	{	PUNCT
ejpam-450	221	3	}	}	PUNCT
ejpam-450	221	4	;	;	PUNCT
ejpam-450	221	5	do	do	AUX
ejpam-450	221	6	[	[	PUNCT
ejpam-450	221	7	w	w	PROPN
ejpam-450	221	8	=	=	SYM
ejpam-450	221	9	lass[[l	lass[[l	PROPN
ejpam-450	221	10	℄	℄	PROPN
ejpam-450	221	11	℄	℄	PROPN
ejpam-450	221	12	;lk[w	;lk[w	PROPN
ejpam-450	221	13	℄	℄	PROPN
ejpam-450	221	14	={};do	={};do	PROPN
ejpam-450	221	15	[	[	PUNCT
ejpam-450	221	16	if[or[table[der[w	if[or[table[der[w	NOUN
ejpam-450	221	17	,	,	PUNCT
ejpam-450	221	18	integerdigits[i,2,4	integerdigits[i,2,4	PROPN
ejpam-450	221	19	℄	℄	PROPN
ejpam-450	221	20	,integerdigits[j,2,4	,integerdigits[j,2,4	PUNCT
ejpam-450	221	21	℄	℄	PROPN
ejpam-450	221	22	℄	℄	PROPN
ejpam-450	221	23	,{j,0,2	,{j,0,2	PUNCT
ejpam-450	221	24	^	^	SYM
ejpam-450	221	25	4	4	NUM
ejpam-450	221	26	-	-	SYM
ejpam-450	221	27	1}	1}	NUM
ejpam-450	221	28	℄	℄	NOUN
ejpam-450	221	29	=={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},table[der[w	=={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},table[der[w	PROPN
ejpam-450	221	30	,	,	PUNCT
ejpam-450	221	31	integerdigits[i,2,4	integerdigits[i,2,4	PROPN
ejpam-450	221	32	℄	℄	PROPN
ejpam-450	221	33	,integerdigits[j,2,4	,integerdigits[j,2,4	PUNCT
ejpam-450	221	34	℄	℄	PROPN
ejpam-450	221	35	℄	℄	PROPN
ejpam-450	221	36	,{j,0,2	,{j,0,2	PUNCT
ejpam-450	221	37	^	^	SYM
ejpam-450	221	38	4	4	NUM
ejpam-450	221	39	-	-	SYM
ejpam-450	221	40	1}	1}	NUM
ejpam-450	221	41	℄	℄	PROPN
ejpam-450	221	42	=={1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1}	=={1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1}	NOUN
ejpam-450	221	43	℄	℄	PROPN
ejpam-450	221	44	,appendto[lk[w	,appendto[lk[w	PUNCT
ejpam-450	221	45	℄	℄	PROPN
ejpam-450	221	46	,i	,i	PUNCT
ejpam-450	221	47	℄	℄	PROPN
ejpam-450	221	48	℄	℄	PROPN
ejpam-450	221	49	,{i,0,2	,{i,0,2	PUNCT
ejpam-450	221	50	^	^	SYM
ejpam-450	221	51	4	4	NUM
ejpam-450	221	52	-1}	-1}	NOUN
ejpam-450	221	53	℄	℄	PROPN
ejpam-450	221	54	;if[lk[w	;if[lk[w	ADJ
ejpam-450	221	55	℄	℄	NOUN
ejpam-450	221	56	=={0},appendto[nl2balgrad3lk	=={0},appendto[nl2balgrad3lk	NOUN
ejpam-450	221	57	,	,	PUNCT
ejpam-450	221	58	w	w	PROPN
ejpam-450	221	59	℄	℄	PROPN
ejpam-450	221	60	℄	℄	ADJ
ejpam-450	221	61	,{l,1,length	,{l,1,length	NOUN
ejpam-450	221	62	[	[	PUNCT
ejpam-450	221	63	lass	lass	PROPN
ejpam-450	221	64	℄	℄	PROPN
ejpam-450	221	65	}	}	PUNCT
ejpam-450	221	66	℄	℄	PROPN
ejpam-450	221	67	;	;	PUNCT
ejpam-450	221	68	references	reference	NOUN
ejpam-450	221	69	778	778	NUM
ejpam-450	221	70	lass	lass	NOUN
ejpam-450	221	71	=	=	SYM
ejpam-450	221	72	nlbalgrad2[4	nlbalgrad2[4	PROPN
ejpam-450	221	73	℄	℄	NOUN
ejpam-450	221	74	;nl4balgrad2lk={};do	;nl4balgrad2lk={};do	ADP
ejpam-450	221	75	[	[	PUNCT
ejpam-450	221	76	w=	w=	NOUN
ejpam-450	221	77	lass[[l	lass[[l	PROPN
ejpam-450	221	78	℄	℄	PROPN
ejpam-450	221	79	℄	℄	PROPN
ejpam-450	221	80	;lk[w	;lk[w	PROPN
ejpam-450	221	81	℄	℄	PROPN
ejpam-450	221	82	=	=	PRON
ejpam-450	221	83	{	{	PUNCT
ejpam-450	221	84	}	}	PUNCT
ejpam-450	221	85	;	;	PUNCT
ejpam-450	221	86	do	do	AUX
ejpam-450	221	87	[	[	PUNCT
ejpam-450	221	88	if	if	SCONJ
ejpam-450	221	89	[	[	PUNCT
ejpam-450	221	90	or[table[der[w	or[table[der[w	ADJ
ejpam-450	221	91	,	,	PUNCT
ejpam-450	221	92	integerdigits[i,2,4	integerdigits[i,2,4	PROPN
ejpam-450	221	93	℄	℄	PROPN
ejpam-450	221	94	,integerdigits[j,2,4	,integerdigits[j,2,4	PUNCT
ejpam-450	221	95	℄	℄	PROPN
ejpam-450	221	96	℄	℄	PROPN
ejpam-450	221	97	,{j,0,2	,{j,0,2	PUNCT
ejpam-450	221	98	^	^	SYM
ejpam-450	221	99	4	4	NUM
ejpam-450	221	100	-	-	SYM
ejpam-450	221	101	1}	1}	NUM
ejpam-450	221	102	℄	℄	NOUN
ejpam-450	221	103	=={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},table[der[w	=={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},table[der[w	PROPN
ejpam-450	221	104	,	,	PUNCT
ejpam-450	221	105	integerdigits[i,2,4	integerdigits[i,2,4	PROPN
ejpam-450	221	106	℄	℄	PROPN
ejpam-450	221	107	,integerdigits[j,2,4	,integerdigits[j,2,4	PUNCT
ejpam-450	221	108	℄	℄	PROPN
ejpam-450	221	109	℄	℄	PROPN
ejpam-450	221	110	,{j,0,2	,{j,0,2	PUNCT
ejpam-450	221	111	^	^	SYM
ejpam-450	221	112	4	4	NUM
ejpam-450	221	113	-	-	SYM
ejpam-450	221	114	1}	1}	NUM
ejpam-450	221	115	℄	℄	PROPN
ejpam-450	221	116	=={1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1}	=={1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1}	NOUN
ejpam-450	221	117	℄	℄	PROPN
ejpam-450	221	118	,appendto[lk[w	,appendto[lk[w	PUNCT
ejpam-450	221	119	℄	℄	PROPN
ejpam-450	221	120	,i	,i	PUNCT
ejpam-450	221	121	℄	℄	PROPN
ejpam-450	221	122	℄	℄	PROPN
ejpam-450	221	123	,{i,0,2	,{i,0,2	PUNCT
ejpam-450	221	124	^	^	SYM
ejpam-450	221	125	4	4	NUM
ejpam-450	221	126	-	-	SYM
ejpam-450	221	127	1}	1}	NUM
ejpam-450	221	128	℄	℄	ADV
ejpam-450	221	129	;if[lk[w	;if[lk[w	ADJ
ejpam-450	221	130	℄	℄	NOUN
ejpam-450	221	131	=={0},appendto[nl4balgrad2lk	=={0},appendto[nl4balgrad2lk	NOUN
ejpam-450	221	132	,	,	PUNCT
ejpam-450	221	133	w	w	PROPN
ejpam-450	221	134	℄	℄	PROPN
ejpam-450	221	135	℄	℄	ADJ
ejpam-450	221	136	,{l,1,length	,{l,1,length	NOUN
ejpam-450	221	137	[	[	PUNCT
ejpam-450	221	138	lass	lass	PROPN
ejpam-450	221	139	℄	℄	PROPN
ejpam-450	221	140	}	}	PUNCT
ejpam-450	221	141	℄	℄	PROPN
ejpam-450	221	142	;	;	PUNCT
ejpam-450	221	143	•	•	NUM
ejpam-450	221	144	study	study	NOUN
ejpam-450	221	145	of	of	ADP
ejpam-450	221	146	the	the	DET
ejpam-450	221	147	resiliency	resiliency	NOUN
ejpam-450	221	148	.	.	PUNCT
ejpam-450	222	1	the	the	DET
ejpam-450	222	2	m	m	NOUN
ejpam-450	222	3	-	-	ADJ
ejpam-450	222	4	resilient	resilient	ADJ
ejpam-450	222	5	ca	ca	NOUN
ejpam-450	222	6	rules	rule	NOUN
ejpam-450	222	7	are	be	AUX
ejpam-450	222	8	saved	save	VERB
ejpam-450	222	9	in	in	ADP
ejpam-450	222	10	the	the	DET
ejpam-450	222	11	variable	variable	ADJ
ejpam-450	222	12	resilients[m	resilients[m	PROPN
ejpam-450	222	13	℄	℄	PROPN
ejpam-450	222	14	.	.	PUNCT
ejpam-450	223	1	(	(	PUNCT
ejpam-450	223	2	*	*	PUNCT
ejpam-450	223	3	definition	definition	NOUN
ejpam-450	223	4	of	of	ADP
ejpam-450	223	5	walsh	walsh	PROPN
ejpam-450	223	6	transform	transform	PROPN
ejpam-450	223	7	*	*	PUNCT
ejpam-450	223	8	)	)	PUNCT
ejpam-450	223	9	wt[w_,u_	wt[w_,u_	X
ejpam-450	223	10	℄	℄	PROPN
ejpam-450	223	11	:=sum[(-1)^(integerdigits[i,2,4	:=sum[(-1)^(integerdigits[i,2,4	PROPN
ejpam-450	223	12	℄	℄	PROPN
ejpam-450	223	13	.u)*f[integerdigits[w,2,16	.u)*f[integerdigits[w,2,16	PROPN
ejpam-450	223	14	℄	℄	PROPN
ejpam-450	223	15	,integerdigits[i,2,4	,integerdigits[i,2,4	PUNCT
ejpam-450	223	16	℄	℄	PROPN
ejpam-450	223	17	℄	℄	PROPN
ejpam-450	223	18	,{i	,{i	PUNCT
ejpam-450	223	19	,	,	PUNCT
ejpam-450	223	20	0	0	NUM
ejpam-450	223	21	,	,	PUNCT
ejpam-450	223	22	2	2	NUM
ejpam-450	223	23	^	^	SYM
ejpam-450	223	24	3	3	NUM
ejpam-450	223	25	1}	1}	PROPN
ejpam-450	223	26	℄	℄	NOUN
ejpam-450	223	27	;do	;do	PROPN
ejpam-450	223	28	[	[	PUNCT
ejpam-450	223	29	ve	ve	NOUN
ejpam-450	223	30	torshw[m	torshw[m	NOUN
ejpam-450	223	31	℄	℄	NOUN
ejpam-450	223	32	={};do	={};do	NUM
ejpam-450	223	33	[	[	PUNCT
ejpam-450	223	34	if[wh[integerdigits[i,2,4	if[wh[integerdigits[i,2,4	PROPN
ejpam-450	223	35	℄	℄	PROPN
ejpam-450	223	36	℄	℄	PROPN
ejpam-450	223	37	<=m	<=m	PROPN
ejpam-450	223	38	,	,	PUNCT
ejpam-450	223	39	appendto[ve	appendto[ve	PROPN
ejpam-450	223	40	torshw[m	torshw[m	PROPN
ejpam-450	223	41	℄	℄	PROPN
ejpam-450	223	42	,integerdigits[i,2,4	,integerdigits[i,2,4	PUNCT
ejpam-450	223	43	℄	℄	PROPN
ejpam-450	223	44	℄	℄	PROPN
ejpam-450	223	45	℄	℄	PROPN
ejpam-450	223	46	,{i	,{i	PUNCT
ejpam-450	223	47	,	,	PUNCT
ejpam-450	223	48	0,2	0,2	NUM
ejpam-450	223	49	^	^	SYM
ejpam-450	223	50	4	4	NUM
ejpam-450	223	51	-	-	SYM
ejpam-450	223	52	1}	1}	NUM
ejpam-450	223	53	℄	℄	ADJ
ejpam-450	223	54	,{m,0,2	,{m,0,2	NOUN
ejpam-450	223	55	^	^	SYM
ejpam-450	223	56	4}	4}	NOUN
ejpam-450	223	57	℄	℄	NOUN
ejpam-450	223	58	;do	;do	PROPN
ejpam-450	223	59	[	[	PUNCT
ejpam-450	223	60	aux	aux	X
ejpam-450	223	61	=	=	NOUN
ejpam-450	223	62	ve	ve	PROPN
ejpam-450	223	63	torshw[m	torshw[m	PROPN
ejpam-450	223	64	℄	℄	PROPN
ejpam-450	223	65	;	;	PUNCT
ejpam-450	223	66	lass	lass	NOUN
ejpam-450	223	67	=	=	SYM
ejpam-450	223	68	nl4balgrad3lk;resilients[m	nl4balgrad3lk;resilients[m	NOUN
ejpam-450	223	69	℄	℄	NOUN
ejpam-450	223	70	={};do	={};do	NUM
ejpam-450	223	71	[	[	PUNCT
ejpam-450	223	72	w=	w=	PROPN
ejpam-450	223	73	lass[[j	lass[[j	PROPN
ejpam-450	223	74	℄	℄	PROPN
ejpam-450	223	75	℄	℄	PROPN
ejpam-450	223	76	;if[table[wt[w	;if[table[wt[w	PROPN
ejpam-450	223	77	,	,	PUNCT
ejpam-450	223	78	aux[[i	aux[[i	PROPN
ejpam-450	223	79	℄	℄	PROPN
ejpam-450	223	80	℄	℄	PROPN
ejpam-450	223	81	℄	℄	PROPN
ejpam-450	223	82	,{i,1,length[aux	,{i,1,length[aux	PUNCT
ejpam-450	223	83	℄	℄	PROPN
ejpam-450	223	84	}	}	PUNCT
ejpam-450	223	85	℄	℄	PROPN
ejpam-450	223	86	==table[0,{i,1,length[aux	==table[0,{i,1,length[aux	PROPN
ejpam-450	223	87	℄	℄	ADJ
ejpam-450	223	88	}	}	PUNCT
ejpam-450	223	89	℄	℄	PROPN
ejpam-450	223	90	,appendto[resilients[m	,appendto[resilients[m	PUNCT
ejpam-450	223	91	℄	℄	PROPN
ejpam-450	223	92	,w	,w	PUNCT
ejpam-450	223	93	℄	℄	PROPN
ejpam-450	223	94	℄	℄	PROPN
ejpam-450	223	95	,{j,1,length	,{j,1,length	PROPN
ejpam-450	223	96	[	[	PUNCT
ejpam-450	223	97	lass	lass	PROPN
ejpam-450	223	98	℄	℄	PROPN
ejpam-450	223	99	}	}	PUNCT
ejpam-450	223	100	℄	℄	ADJ
ejpam-450	223	101	,{m,0,2	,{m,0,2	PUNCT
ejpam-450	223	102	^	^	SYM
ejpam-450	223	103	4	4	NUM
ejpam-450	223	104	}	}	PUNCT
ejpam-450	223	105	℄	℄	PROPN
ejpam-450	223	106	;	;	PUNCT