id	sid	tid	token	lemma	pos
ejpam-1352	1	1	8_siap.dvi	8_siap.dvi	NUM
ejpam-1352	1	2	european	european	ADJ
ejpam-1352	1	3	journal	journal	PROPN
ejpam-1352	1	4	of	of	ADP
ejpam-1352	1	5	pure	pure	ADJ
ejpam-1352	1	6	and	and	CCONJ
ejpam-1352	1	7	applied	apply	VERB
ejpam-1352	1	8	mathematics	mathematic	NOUN
ejpam-1352	1	9	vol	vol	NOUN
ejpam-1352	1	10	.	.	PROPN
ejpam-1352	1	11	5	5	NUM
ejpam-1352	1	12	,	,	PUNCT
ejpam-1352	1	13	no	no	INTJ
ejpam-1352	1	14	.	.	NOUN
ejpam-1352	1	15	3	3	NUM
ejpam-1352	1	16	,	,	PUNCT
ejpam-1352	1	17	2012	2012	NUM
ejpam-1352	1	18	,	,	PUNCT
ejpam-1352	1	19	373	373	NUM
ejpam-1352	1	20	-	-	SYM
ejpam-1352	1	21	379	379	NUM
ejpam-1352	1	22	issn	issn	PROPN
ejpam-1352	1	23	1307	1307	NUM
ejpam-1352	1	24	-	-	SYM
ejpam-1352	1	25	5543	5543	NUM
ejpam-1352	1	26	–	–	PUNCT
ejpam-1352	1	27	www.ejpam.com	www.ejpam.com	X
ejpam-1352	1	28	macwilliams	macwilliam	VERB
ejpam-1352	1	29	identity	identity	NOUN
ejpam-1352	1	30	for	for	ADP
ejpam-1352	1	31	m	m	NOUN
ejpam-1352	1	32	-	-	ADJ
ejpam-1352	1	33	spotty	spotty	ADJ
ejpam-1352	1	34	hamming	hamming	NOUN
ejpam-1352	1	35	weight	weight	NOUN
ejpam-1352	1	36	enumerator	enumerator	NOUN
ejpam-1352	1	37	over	over	ADP
ejpam-1352	1	38	the	the	DET
ejpam-1352	1	39	ring	ring	NOUN
ejpam-1352	1	40	f2	f2	PROPN
ejpam-1352	1	41	+	+	CCONJ
ejpam-1352	1	42	vf2	vf2	ADJ
ejpam-1352	1	43	vedat	vedat	PROPN
ejpam-1352	1	44	şiap1,∗	şiap1,∗	PROPN
ejpam-1352	1	45	,	,	PUNCT
ejpam-1352	1	46	mehmet	mehmet	PROPN
ejpam-1352	1	47	özen	özen	NOUN
ejpam-1352	1	48	2	2	NUM
ejpam-1352	1	49	1	1	NUM
ejpam-1352	1	50	department	department	NOUN
ejpam-1352	1	51	of	of	ADP
ejpam-1352	1	52	mathematical	mathematical	ADJ
ejpam-1352	1	53	engineering	engineering	NOUN
ejpam-1352	1	54	,	,	PUNCT
ejpam-1352	1	55	faculty	faculty	NOUN
ejpam-1352	1	56	of	of	ADP
ejpam-1352	1	57	chemical	chemical	ADJ
ejpam-1352	1	58	and	and	CCONJ
ejpam-1352	1	59	metallurgical	metallurgical	ADJ
ejpam-1352	1	60	engineering	engineering	NOUN
ejpam-1352	1	61	,	,	PUNCT
ejpam-1352	1	62	yildiz	yildiz	PROPN
ejpam-1352	1	63	technical	technical	PROPN
ejpam-1352	1	64	university	university	PROPN
ejpam-1352	1	65	,	,	PUNCT
ejpam-1352	1	66	istanbul	istanbul	PROPN
ejpam-1352	1	67	,	,	PUNCT
ejpam-1352	1	68	turkey	turkey	PROPN
ejpam-1352	1	69	2	2	NUM
ejpam-1352	1	70	department	department	NOUN
ejpam-1352	1	71	of	of	ADP
ejpam-1352	1	72	mathematics	mathematic	NOUN
ejpam-1352	1	73	,	,	PUNCT
ejpam-1352	1	74	faculty	faculty	NOUN
ejpam-1352	1	75	of	of	ADP
ejpam-1352	1	76	arts	art	NOUN
ejpam-1352	1	77	and	and	CCONJ
ejpam-1352	1	78	sciences	science	NOUN
ejpam-1352	1	79	,	,	PUNCT
ejpam-1352	1	80	sakarya	sakarya	NOUN
ejpam-1352	1	81	university	university	NOUN
ejpam-1352	1	82	,	,	PUNCT
ejpam-1352	1	83	sakarya	sakarya	NOUN
ejpam-1352	1	84	,	,	PUNCT
ejpam-1352	1	85	turkey	turkey	NOUN
ejpam-1352	1	86	abstract	abstract	NOUN
ejpam-1352	1	87	.	.	PUNCT
ejpam-1352	2	1	the	the	DET
ejpam-1352	2	2	m	m	ADJ
ejpam-1352	2	3	-	-	ADJ
ejpam-1352	2	4	spotty	spotty	ADJ
ejpam-1352	2	5	byte	byte	NOUN
ejpam-1352	2	6	error	error	NOUN
ejpam-1352	2	7	control	control	NOUN
ejpam-1352	2	8	codes	code	NOUN
ejpam-1352	2	9	can	can	AUX
ejpam-1352	2	10	correct	correct	VERB
ejpam-1352	2	11	or	or	CCONJ
ejpam-1352	2	12	detect	detect	VERB
ejpam-1352	2	13	multiple	multiple	ADJ
ejpam-1352	2	14	spotty	spotty	ADJ
ejpam-1352	2	15	byte	byte	NOUN
ejpam-1352	2	16	errors	error	NOUN
ejpam-1352	2	17	that	that	PRON
ejpam-1352	2	18	are	be	AUX
ejpam-1352	2	19	distributed	distribute	VERB
ejpam-1352	2	20	in	in	ADP
ejpam-1352	2	21	multiple	multiple	ADJ
ejpam-1352	2	22	bytes	byte	NOUN
ejpam-1352	2	23	.	.	PUNCT
ejpam-1352	3	1	these	these	DET
ejpam-1352	3	2	codes	code	NOUN
ejpam-1352	3	3	are	be	AUX
ejpam-1352	3	4	successfully	successfully	ADV
ejpam-1352	3	5	applied	apply	VERB
ejpam-1352	3	6	to	to	ADP
ejpam-1352	3	7	computer	computer	NOUN
ejpam-1352	3	8	memory	memory	NOUN
ejpam-1352	3	9	systems	system	NOUN
ejpam-1352	3	10	that	that	PRON
ejpam-1352	3	11	use	use	VERB
ejpam-1352	3	12	ram	ram	NOUN
ejpam-1352	3	13	chips	chip	NOUN
ejpam-1352	3	14	with	with	ADP
ejpam-1352	3	15	b	b	NOUN
ejpam-1352	3	16	-	-	PUNCT
ejpam-1352	3	17	bit	bit	NOUN
ejpam-1352	3	18	input	input	NOUN
ejpam-1352	3	19	/	/	SYM
ejpam-1352	3	20	output	output	NOUN
ejpam-1352	3	21	data	datum	NOUN
ejpam-1352	3	22	when	when	SCONJ
ejpam-1352	3	23	high	high	ADJ
ejpam-1352	3	24	-	-	PUNCT
ejpam-1352	3	25	energy	energy	NOUN
ejpam-1352	3	26	particles	particle	NOUN
ejpam-1352	3	27	strike	strike	VERB
ejpam-1352	3	28	a	a	DET
ejpam-1352	3	29	particular	particular	ADJ
ejpam-1352	3	30	ram	ram	NOUN
ejpam-1352	3	31	chips	chip	NOUN
ejpam-1352	3	32	.	.	PUNCT
ejpam-1352	4	1	in	in	ADP
ejpam-1352	4	2	this	this	DET
ejpam-1352	4	3	paper	paper	NOUN
ejpam-1352	4	4	,	,	PUNCT
ejpam-1352	4	5	we	we	PRON
ejpam-1352	4	6	derive	derive	VERB
ejpam-1352	4	7	a	a	DET
ejpam-1352	4	8	macwilliams	macwilliam	NOUN
ejpam-1352	4	9	type	type	NOUN
ejpam-1352	4	10	identity	identity	NOUN
ejpam-1352	4	11	for	for	ADP
ejpam-1352	4	12	m	m	NOUN
ejpam-1352	4	13	-	-	ADJ
ejpam-1352	4	14	spotty	spotty	ADJ
ejpam-1352	4	15	hamming	hamming	NOUN
ejpam-1352	4	16	weight	weight	NOUN
ejpam-1352	4	17	enumerator	enumerator	NOUN
ejpam-1352	4	18	over	over	ADP
ejpam-1352	4	19	the	the	DET
ejpam-1352	4	20	ring	ring	NOUN
ejpam-1352	4	21	f2	f2	PROPN
ejpam-1352	4	22	+	+	CCONJ
ejpam-1352	4	23	vf2	vf2	NOUN
ejpam-1352	4	24	with	with	ADP
ejpam-1352	4	25	v2	v2	PROPN
ejpam-1352	4	26	=	=	PUNCT
ejpam-1352	4	27	v.	v.	ADP
ejpam-1352	4	28	2010	2010	NUM
ejpam-1352	4	29	mathematics	mathematic	NOUN
ejpam-1352	4	30	subject	subject	NOUN
ejpam-1352	4	31	classifications	classification	NOUN
ejpam-1352	4	32	:	:	PUNCT
ejpam-1352	4	33	94b15	94b15	NUM
ejpam-1352	4	34	key	key	ADJ
ejpam-1352	4	35	words	word	NOUN
ejpam-1352	4	36	and	and	CCONJ
ejpam-1352	4	37	phrases	phrase	NOUN
ejpam-1352	4	38	:	:	PUNCT
ejpam-1352	4	39	macwilliams	macwilliam	NOUN
ejpam-1352	4	40	identity	identity	NOUN
ejpam-1352	4	41	;	;	PUNCT
ejpam-1352	4	42	weight	weight	NOUN
ejpam-1352	4	43	enumerator	enumerator	NOUN
ejpam-1352	4	44	;	;	PUNCT
ejpam-1352	4	45	m	m	NOUN
ejpam-1352	4	46	-	-	ADJ
ejpam-1352	4	47	spotty	spotty	ADJ
ejpam-1352	4	48	weight	weight	NOUN
ejpam-1352	4	49	;	;	PUNCT
ejpam-1352	4	50	m	m	NOUN
ejpam-1352	4	51	-	-	ADJ
ejpam-1352	4	52	spotty	spotty	ADJ
ejpam-1352	4	53	byte	byte	NOUN
ejpam-1352	4	54	error	error	NOUN
ejpam-1352	4	55	1	1	NUM
ejpam-1352	4	56	.	.	PUNCT
ejpam-1352	5	1	introduction	introduction	NOUN
ejpam-1352	5	2	the	the	DET
ejpam-1352	5	3	theory	theory	NOUN
ejpam-1352	5	4	of	of	ADP
ejpam-1352	5	5	error	error	NOUN
ejpam-1352	5	6	correcting	correct	VERB
ejpam-1352	5	7	codes	code	NOUN
ejpam-1352	5	8	has	have	AUX
ejpam-1352	5	9	been	be	AUX
ejpam-1352	5	10	studied	study	VERB
ejpam-1352	5	11	for	for	ADP
ejpam-1352	5	12	over	over	ADP
ejpam-1352	5	13	half	half	DET
ejpam-1352	5	14	a	a	DET
ejpam-1352	5	15	century	century	NOUN
ejpam-1352	5	16	.	.	PUNCT
ejpam-1352	6	1	also	also	ADV
ejpam-1352	6	2	,	,	PUNCT
ejpam-1352	6	3	error	error	NOUN
ejpam-1352	6	4	control	control	NOUN
ejpam-1352	6	5	codes	code	NOUN
ejpam-1352	6	6	have	have	AUX
ejpam-1352	6	7	been	be	AUX
ejpam-1352	6	8	extensively	extensively	ADV
ejpam-1352	6	9	applied	apply	VERB
ejpam-1352	6	10	to	to	ADP
ejpam-1352	6	11	various	various	ADJ
ejpam-1352	6	12	digital	digital	ADJ
ejpam-1352	6	13	systems	system	NOUN
ejpam-1352	6	14	,	,	PUNCT
ejpam-1352	6	15	such	such	ADJ
ejpam-1352	6	16	as	as	ADP
ejpam-1352	6	17	computer	computer	NOUN
ejpam-1352	6	18	and	and	CCONJ
ejpam-1352	6	19	communication	communication	NOUN
ejpam-1352	6	20	systems	system	NOUN
ejpam-1352	6	21	,	,	PUNCT
ejpam-1352	6	22	as	as	ADP
ejpam-1352	6	23	an	an	DET
ejpam-1352	6	24	essential	essential	ADJ
ejpam-1352	6	25	technique	technique	NOUN
ejpam-1352	6	26	to	to	PART
ejpam-1352	6	27	improve	improve	VERB
ejpam-1352	6	28	system	system	NOUN
ejpam-1352	6	29	reliability	reliability	NOUN
ejpam-1352	6	30	.	.	PUNCT
ejpam-1352	7	1	in	in	ADP
ejpam-1352	7	2	the	the	DET
ejpam-1352	7	3	applications	application	NOUN
ejpam-1352	7	4	of	of	ADP
ejpam-1352	7	5	error	error	NOUN
ejpam-1352	7	6	correcting	correct	VERB
ejpam-1352	7	7	codes	code	NOUN
ejpam-1352	7	8	to	to	ADP
ejpam-1352	7	9	computer	computer	NOUN
ejpam-1352	7	10	systems	system	NOUN
ejpam-1352	7	11	,	,	PUNCT
ejpam-1352	7	12	a	a	DET
ejpam-1352	7	13	new	new	ADJ
ejpam-1352	7	14	class	class	NOUN
ejpam-1352	7	15	of	of	ADP
ejpam-1352	7	16	byte	byte	NOUN
ejpam-1352	7	17	error	error	NOUN
ejpam-1352	7	18	control	control	NOUN
ejpam-1352	7	19	codes	code	NOUN
ejpam-1352	7	20	called	call	VERB
ejpam-1352	7	21	m	m	ADJ
ejpam-1352	7	22	-	-	ADJ
ejpam-1352	7	23	spotty	spotty	ADJ
ejpam-1352	7	24	byte	byte	NOUN
ejpam-1352	7	25	error	error	NOUN
ejpam-1352	7	26	control	control	NOUN
ejpam-1352	7	27	codes	code	NOUN
ejpam-1352	7	28	are	be	AUX
ejpam-1352	7	29	very	very	ADV
ejpam-1352	7	30	effective	effective	ADJ
ejpam-1352	7	31	for	for	ADP
ejpam-1352	7	32	correcting	correct	VERB
ejpam-1352	7	33	/	/	SYM
ejpam-1352	7	34	detecting	detect	VERB
ejpam-1352	7	35	errors	error	NOUN
ejpam-1352	7	36	in	in	ADP
ejpam-1352	7	37	semiconductor	semiconductor	NOUN
ejpam-1352	7	38	memory	memory	NOUN
ejpam-1352	7	39	systems	system	NOUN
ejpam-1352	7	40	that	that	PRON
ejpam-1352	7	41	employ	employ	VERB
ejpam-1352	7	42	high	high	ADJ
ejpam-1352	7	43	-	-	PUNCT
ejpam-1352	7	44	density	density	NOUN
ejpam-1352	7	45	ram	ram	NOUN
ejpam-1352	7	46	chips	chip	NOUN
ejpam-1352	7	47	with	with	ADP
ejpam-1352	7	48	wide	wide	ADJ
ejpam-1352	7	49	input	input	NOUN
ejpam-1352	7	50	/	/	SYM
ejpam-1352	7	51	output	output	NOUN
ejpam-1352	7	52	data	datum	NOUN
ejpam-1352	7	53	.	.	PUNCT
ejpam-1352	8	1	these	these	DET
ejpam-1352	8	2	ram	ram	NOUN
ejpam-1352	8	3	chips	chip	NOUN
ejpam-1352	8	4	are	be	AUX
ejpam-1352	8	5	strongly	strongly	ADV
ejpam-1352	8	6	vulnerable	vulnerable	ADJ
ejpam-1352	8	7	to	to	ADP
ejpam-1352	8	8	α−	α−	ADP
ejpam-1352	8	9	particles	particle	NOUN
ejpam-1352	8	10	,	,	PUNCT
ejpam-1352	8	11	neutrons	neutron	NOUN
ejpam-1352	8	12	,	,	PUNCT
ejpam-1352	8	13	and	and	CCONJ
ejpam-1352	8	14	so	so	ADV
ejpam-1352	8	15	forth	forth	ADV
ejpam-1352	8	16	.	.	PUNCT
ejpam-1352	9	1	because	because	SCONJ
ejpam-1352	9	2	of	of	ADP
ejpam-1352	9	3	these	these	DET
ejpam-1352	9	4	facts	fact	NOUN
ejpam-1352	9	5	,	,	PUNCT
ejpam-1352	9	6	in	in	ADP
ejpam-1352	9	7	order	order	NOUN
ejpam-1352	9	8	to	to	PART
ejpam-1352	9	9	be	be	AUX
ejpam-1352	9	10	able	able	ADJ
ejpam-1352	9	11	to	to	PART
ejpam-1352	9	12	correct	correct	VERB
ejpam-1352	9	13	multiple	multiple	ADJ
ejpam-1352	9	14	errors	error	NOUN
ejpam-1352	9	15	a	a	DET
ejpam-1352	9	16	special	special	ADJ
ejpam-1352	9	17	type	type	NOUN
ejpam-1352	9	18	of	of	ADP
ejpam-1352	9	19	byte	byte	NOUN
ejpam-1352	9	20	errors	error	NOUN
ejpam-1352	9	21	called	call	VERB
ejpam-1352	9	22	spotty	spotty	ADJ
ejpam-1352	9	23	byte	byte	NOUN
ejpam-1352	9	24	errors	error	NOUN
ejpam-1352	9	25	has	have	AUX
ejpam-1352	9	26	been	be	AUX
ejpam-1352	9	27	introduced	introduce	VERB
ejpam-1352	9	28	in	in	ADP
ejpam-1352	9	29	[	[	X
ejpam-1352	9	30	6	6	NUM
ejpam-1352	9	31	,	,	PUNCT
ejpam-1352	9	32	7	7	NUM
ejpam-1352	9	33	]	]	PUNCT
ejpam-1352	9	34	.	.	PUNCT
ejpam-1352	10	1	suzuki	suzuki	PROPN
ejpam-1352	10	2	et	et	PROPN
ejpam-1352	10	3	al	al	PROPN
ejpam-1352	10	4	.	.	PUNCT
ejpam-1352	11	1	[	[	X
ejpam-1352	11	2	5	5	NUM
ejpam-1352	11	3	]	]	PUNCT
ejpam-1352	11	4	introduced	introduce	VERB
ejpam-1352	11	5	the	the	DET
ejpam-1352	11	6	macwilliams	macwilliam	NOUN
ejpam-1352	11	7	identity	identity	NOUN
ejpam-1352	11	8	for	for	ADP
ejpam-1352	11	9	the	the	DET
ejpam-1352	11	10	m	m	ADJ
ejpam-1352	11	11	-	-	ADJ
ejpam-1352	11	12	spotty	spotty	ADJ
ejpam-1352	11	13	weight	weight	NOUN
ejpam-1352	11	14	enumerator	enumerator	NOUN
ejpam-1352	11	15	of	of	ADP
ejpam-1352	11	16	m	m	PROPN
ejpam-1352	11	17	-	-	ADJ
ejpam-1352	11	18	spotty	spotty	ADJ
ejpam-1352	11	19	byte	byte	NOUN
ejpam-1352	11	20	error	error	NOUN
ejpam-1352	11	21	control	control	NOUN
ejpam-1352	11	22	codes	code	NOUN
ejpam-1352	11	23	and	and	CCONJ
ejpam-1352	11	24	clarified	clarify	VERB
ejpam-1352	11	25	that	that	SCONJ
ejpam-1352	11	26	the	the	DET
ejpam-1352	11	27	indicated	indicate	VERB
ejpam-1352	11	28	identity	identity	NOUN
ejpam-1352	11	29	also	also	ADV
ejpam-1352	11	30	includes	include	VERB
ejpam-1352	11	31	the	the	DET
ejpam-1352	11	32	macwilliams	macwilliam	NOUN
ejpam-1352	11	33	identity	identity	NOUN
ejpam-1352	11	34	for	for	ADP
ejpam-1352	11	35	the	the	DET
ejpam-1352	11	36	hamming	hamming	NOUN
ejpam-1352	11	37	weight	weight	NOUN
ejpam-1352	11	38	enumerator	enumerator	NOUN
ejpam-1352	11	39	over	over	ADP
ejpam-1352	11	40	the	the	DET
ejpam-1352	11	41	binary	binary	ADJ
ejpam-1352	11	42	field	field	NOUN
ejpam-1352	11	43	f2	f2	PROPN
ejpam-1352	11	44	or	or	CCONJ
ejpam-1352	11	45	the	the	DET
ejpam-1352	11	46	extension	extension	NOUN
ejpam-1352	11	47	fields	field	NOUN
ejpam-1352	11	48	of	of	ADP
ejpam-1352	11	49	the	the	DET
ejpam-1352	11	50	binary	binary	ADJ
ejpam-1352	11	51	field	field	NOUN
ejpam-1352	11	52	f2	f2	PROPN
ejpam-1352	11	53	.	.	PUNCT
ejpam-1352	12	1	özen	özen	NOUN
ejpam-1352	12	2	and	and	CCONJ
ejpam-1352	12	3	şiap	şiap	NOUN
ejpam-1352	13	1	[	[	X
ejpam-1352	13	2	4	4	X
ejpam-1352	13	3	]	]	PUNCT
ejpam-1352	13	4	generalized	generalize	VERB
ejpam-1352	13	5	this	this	DET
ejpam-1352	13	6	result	result	NOUN
ejpam-1352	13	7	to	to	ADP
ejpam-1352	13	8	arbitrary	arbitrary	ADJ
ejpam-1352	13	9	∗corresponding	∗corresponding	NOUN
ejpam-1352	13	10	author	author	NOUN
ejpam-1352	13	11	.	.	PUNCT
ejpam-1352	14	1	email	email	NOUN
ejpam-1352	14	2	addresses	address	NOUN
ejpam-1352	14	3	:	:	PUNCT
ejpam-1352	14	4	vedatsiap	vedatsiap	PROPN
ejpam-1352	14	5	�	�	PROPN
ejpam-1352	14	6	gmail	gmail	NOUN
ejpam-1352	14	7	.	.	PUNCT
ejpam-1352	15	1	om	om	PROPN
ejpam-1352	15	2	(	(	PUNCT
ejpam-1352	15	3	v.	v.	PROPN
ejpam-1352	15	4	şiap	şiap	PROPN
ejpam-1352	15	5	)	)	PUNCT
ejpam-1352	15	6	,	,	PUNCT
ejpam-1352	15	7	ozen�sakarya.edu.tr	ozen�sakarya.edu.tr	PROPN
ejpam-1352	15	8	(	(	PUNCT
ejpam-1352	15	9	m.	m.	NOUN
ejpam-1352	15	10	özen	özen	NOUN
ejpam-1352	15	11	)	)	PUNCT
ejpam-1352	15	12	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-1352	16	1	373	373	NUM
ejpam-1352	16	2	c	c	X
ejpam-1352	16	3	©	©	PROPN
ejpam-1352	16	4	2012	2012	NUM
ejpam-1352	16	5	ejpam	ejpam	VERB
ejpam-1352	16	6	all	all	DET
ejpam-1352	16	7	rights	right	NOUN
ejpam-1352	16	8	reserved	reserve	VERB
ejpam-1352	16	9	.	.	PUNCT
ejpam-1352	17	1	v.	v.	PROPN
ejpam-1352	17	2	şiap	şiap	PROPN
ejpam-1352	17	3	,	,	PUNCT
ejpam-1352	17	4	m.	m.	NOUN
ejpam-1352	17	5	özen	özen	NOUN
ejpam-1352	17	6	/	/	SYM
ejpam-1352	17	7	eur	eur	NOUN
ejpam-1352	17	8	.	.	PUNCT
ejpam-1352	18	1	j.	j.	PROPN
ejpam-1352	18	2	pure	pure	PROPN
ejpam-1352	18	3	appl	appl	PROPN
ejpam-1352	18	4	.	.	PROPN
ejpam-1352	18	5	math	math	PROPN
ejpam-1352	18	6	,	,	PUNCT
ejpam-1352	18	7	5	5	NUM
ejpam-1352	18	8	(	(	PUNCT
ejpam-1352	18	9	2012	2012	NUM
ejpam-1352	18	10	)	)	PUNCT
ejpam-1352	18	11	,	,	PUNCT
ejpam-1352	18	12	373	373	NUM
ejpam-1352	18	13	-	-	SYM
ejpam-1352	18	14	379	379	NUM
ejpam-1352	18	15	374	374	NUM
ejpam-1352	18	16	finite	finite	ADJ
ejpam-1352	18	17	fields	field	NOUN
ejpam-1352	18	18	.	.	PUNCT
ejpam-1352	19	1	morever	morever	PROPN
ejpam-1352	19	2	,	,	PUNCT
ejpam-1352	19	3	şiap	şiap	PROPN
ejpam-1352	20	1	[	[	X
ejpam-1352	20	2	1	1	X
ejpam-1352	20	3	]	]	PUNCT
ejpam-1352	20	4	extended	extend	VERB
ejpam-1352	20	5	the	the	DET
ejpam-1352	20	6	definition	definition	NOUN
ejpam-1352	20	7	of	of	ADP
ejpam-1352	20	8	m	m	PROPN
ejpam-1352	20	9	-	-	ADJ
ejpam-1352	20	10	spotty	spotty	ADJ
ejpam-1352	20	11	weight	weight	NOUN
ejpam-1352	20	12	originally	originally	ADV
ejpam-1352	20	13	introduced	introduce	VERB
ejpam-1352	20	14	in	in	ADP
ejpam-1352	20	15	[	[	X
ejpam-1352	20	16	6	6	NUM
ejpam-1352	20	17	]	]	PUNCT
ejpam-1352	20	18	from	from	ADP
ejpam-1352	20	19	binary	binary	ADJ
ejpam-1352	20	20	codes	code	NOUN
ejpam-1352	20	21	to	to	ADP
ejpam-1352	20	22	codes	code	NOUN
ejpam-1352	20	23	over	over	ADP
ejpam-1352	20	24	the	the	DET
ejpam-1352	20	25	ring	ring	NOUN
ejpam-1352	20	26	f2	f2	PROPN
ejpam-1352	20	27	+	+	CCONJ
ejpam-1352	20	28	uf2	uf2	NOUN
ejpam-1352	20	29	with	with	ADP
ejpam-1352	20	30	u2	u2	PROPN
ejpam-1352	20	31	=	=	NOUN
ejpam-1352	20	32	0	0	PROPN
ejpam-1352	20	33	.	.	PUNCT
ejpam-1352	21	1	in	in	ADP
ejpam-1352	21	2	this	this	DET
ejpam-1352	21	3	paper	paper	NOUN
ejpam-1352	21	4	,	,	PUNCT
ejpam-1352	21	5	we	we	PRON
ejpam-1352	21	6	establish	establish	VERB
ejpam-1352	21	7	a	a	DET
ejpam-1352	21	8	macwilliams	macwilliam	NOUN
ejpam-1352	21	9	type	type	NOUN
ejpam-1352	21	10	identity	identity	NOUN
ejpam-1352	21	11	for	for	ADP
ejpam-1352	21	12	the	the	DET
ejpam-1352	21	13	m	m	NOUN
ejpam-1352	21	14	-	-	ADJ
ejpam-1352	21	15	spotty	spotty	ADJ
ejpam-1352	21	16	hamming	hamming	NOUN
ejpam-1352	21	17	weight	weight	NOUN
ejpam-1352	21	18	enumerator	enumerator	NOUN
ejpam-1352	21	19	over	over	ADP
ejpam-1352	21	20	the	the	DET
ejpam-1352	21	21	ring	ring	NOUN
ejpam-1352	21	22	f2	f2	PROPN
ejpam-1352	21	23	+	+	CCONJ
ejpam-1352	21	24	vf2	vf2	NOUN
ejpam-1352	21	25	with	with	ADP
ejpam-1352	21	26	v2	v2	PROPN
ejpam-1352	21	27	=	=	PROPN
ejpam-1352	21	28	v.	v.	ADP
ejpam-1352	21	29	the	the	DET
ejpam-1352	21	30	organization	organization	NOUN
ejpam-1352	21	31	of	of	ADP
ejpam-1352	21	32	this	this	DET
ejpam-1352	21	33	paper	paper	NOUN
ejpam-1352	21	34	is	be	AUX
ejpam-1352	21	35	as	as	SCONJ
ejpam-1352	21	36	follows	follow	VERB
ejpam-1352	21	37	:	:	PUNCT
ejpam-1352	21	38	in	in	ADP
ejpam-1352	21	39	section	section	NOUN
ejpam-1352	21	40	2	2	NUM
ejpam-1352	21	41	,	,	PUNCT
ejpam-1352	21	42	definition	definition	NOUN
ejpam-1352	21	43	of	of	ADP
ejpam-1352	21	44	m	m	ADJ
ejpam-1352	21	45	-	-	ADJ
ejpam-1352	21	46	spotty	spotty	ADJ
ejpam-1352	21	47	hamming	hamming	NOUN
ejpam-1352	21	48	weight	weight	NOUN
ejpam-1352	21	49	and	and	CCONJ
ejpam-1352	21	50	m	m	NOUN
ejpam-1352	21	51	-	-	ADJ
ejpam-1352	21	52	spotty	spotty	ADJ
ejpam-1352	21	53	hamming	hamming	NOUN
ejpam-1352	21	54	distance	distance	NOUN
ejpam-1352	21	55	are	be	AUX
ejpam-1352	21	56	presented	present	VERB
ejpam-1352	21	57	.	.	PUNCT
ejpam-1352	22	1	in	in	ADP
ejpam-1352	22	2	section	section	NOUN
ejpam-1352	22	3	3	3	NUM
ejpam-1352	22	4	,	,	PUNCT
ejpam-1352	22	5	the	the	DET
ejpam-1352	22	6	macwilliams	macwilliam	NOUN
ejpam-1352	22	7	identity	identity	NOUN
ejpam-1352	22	8	for	for	ADP
ejpam-1352	22	9	m	m	NOUN
ejpam-1352	22	10	-	-	ADJ
ejpam-1352	22	11	spotty	spotty	ADJ
ejpam-1352	22	12	hamming	hamming	NOUN
ejpam-1352	22	13	weight	weight	NOUN
ejpam-1352	22	14	enumerator	enumerator	NOUN
ejpam-1352	22	15	over	over	ADP
ejpam-1352	22	16	the	the	DET
ejpam-1352	22	17	ring	ring	NOUN
ejpam-1352	22	18	f2	f2	PROPN
ejpam-1352	22	19	+	+	CCONJ
ejpam-1352	22	20	vf2	vf2	NOUN
ejpam-1352	22	21	with	with	ADP
ejpam-1352	22	22	v2	v2	PROPN
ejpam-1352	22	23	=	=	PUNCT
ejpam-1352	22	24	v	v	NOUN
ejpam-1352	22	25	is	be	AUX
ejpam-1352	22	26	established	establish	VERB
ejpam-1352	22	27	.	.	PUNCT
ejpam-1352	23	1	in	in	ADP
ejpam-1352	23	2	section	section	NOUN
ejpam-1352	23	3	4	4	NUM
ejpam-1352	23	4	,	,	PUNCT
ejpam-1352	23	5	we	we	PRON
ejpam-1352	23	6	give	give	VERB
ejpam-1352	23	7	an	an	DET
ejpam-1352	23	8	example	example	NOUN
ejpam-1352	23	9	of	of	ADP
ejpam-1352	23	10	how	how	SCONJ
ejpam-1352	23	11	the	the	DET
ejpam-1352	23	12	weight	weight	NOUN
ejpam-1352	23	13	distribution	distribution	NOUN
ejpam-1352	23	14	of	of	ADP
ejpam-1352	23	15	the	the	DET
ejpam-1352	23	16	m	m	ADJ
ejpam-1352	23	17	-	-	ADJ
ejpam-1352	23	18	spotty	spotty	ADJ
ejpam-1352	23	19	byte	byte	NOUN
ejpam-1352	23	20	error	error	NOUN
ejpam-1352	23	21	control	control	NOUN
ejpam-1352	23	22	code	code	NOUN
ejpam-1352	23	23	can	can	AUX
ejpam-1352	23	24	be	be	AUX
ejpam-1352	23	25	applied	apply	VERB
ejpam-1352	23	26	.	.	PUNCT
ejpam-1352	24	1	finally	finally	ADV
ejpam-1352	24	2	,	,	PUNCT
ejpam-1352	24	3	the	the	DET
ejpam-1352	24	4	paper	paper	NOUN
ejpam-1352	24	5	concludes	conclude	VERB
ejpam-1352	24	6	in	in	ADP
ejpam-1352	24	7	section	section	NOUN
ejpam-1352	24	8	5	5	NUM
ejpam-1352	24	9	.	.	SYM
ejpam-1352	24	10	2	2	NUM
ejpam-1352	24	11	.	.	X
ejpam-1352	24	12	preliminaries	preliminary	NOUN
ejpam-1352	24	13	let	let	VERB
ejpam-1352	24	14	r2	r2	PROPN
ejpam-1352	24	15	be	be	AUX
ejpam-1352	24	16	the	the	DET
ejpam-1352	24	17	commutative	commutative	ADJ
ejpam-1352	24	18	ring	ring	NOUN
ejpam-1352	24	19	f2	f2	PROPN
ejpam-1352	24	20	+	+	CCONJ
ejpam-1352	24	21	vf2	vf2	NOUN
ejpam-1352	24	22	=	=	PUNCT
ejpam-1352	24	23	{	{	PUNCT
ejpam-1352	24	24	0,1	0,1	NUM
ejpam-1352	24	25	,	,	PUNCT
ejpam-1352	24	26	v	v	NOUN
ejpam-1352	24	27	,	,	PUNCT
ejpam-1352	24	28	1	1	NUM
ejpam-1352	24	29	+	+	NUM
ejpam-1352	24	30	v	v	NOUN
ejpam-1352	24	31	}	}	PUNCT
ejpam-1352	24	32	,	,	PUNCT
ejpam-1352	24	33	where	where	SCONJ
ejpam-1352	24	34	v2	v2	NOUN
ejpam-1352	24	35	=	=	PUNCT
ejpam-1352	24	36	v.	v.	ADP
ejpam-1352	24	37	any	any	DET
ejpam-1352	24	38	element	element	NOUN
ejpam-1352	24	39	of	of	ADP
ejpam-1352	24	40	r2	r2	PROPN
ejpam-1352	24	41	can	can	AUX
ejpam-1352	24	42	be	be	AUX
ejpam-1352	24	43	expressed	express	VERB
ejpam-1352	24	44	as	as	ADP
ejpam-1352	24	45	c	c	NOUN
ejpam-1352	24	46	=	=	SYM
ejpam-1352	24	47	a+	a+	PUNCT
ejpam-1352	24	48	bv	bv	PROPN
ejpam-1352	24	49	,	,	PUNCT
ejpam-1352	24	50	where	where	SCONJ
ejpam-1352	24	51	a	a	PRON
ejpam-1352	24	52	,	,	PUNCT
ejpam-1352	24	53	b	b	PROPN
ejpam-1352	24	54	∈	∈	PROPN
ejpam-1352	24	55	f2	f2	PROPN
ejpam-1352	24	56	.	.	PUNCT
ejpam-1352	25	1	let	let	VERB
ejpam-1352	25	2	n	n	PRON
ejpam-1352	25	3	positive	positive	ADJ
ejpam-1352	25	4	integer	integer	NOUN
ejpam-1352	25	5	.	.	PUNCT
ejpam-1352	26	1	for	for	ADP
ejpam-1352	26	2	a	a	DET
ejpam-1352	26	3	positive	positive	ADJ
ejpam-1352	26	4	divisor	divisor	NOUN
ejpam-1352	26	5	b	b	PROPN
ejpam-1352	26	6	of	of	ADP
ejpam-1352	26	7	n	n	PROPN
ejpam-1352	26	8	,	,	PUNCT
ejpam-1352	26	9	c	c	PROPN
ejpam-1352	26	10	is	be	AUX
ejpam-1352	26	11	said	say	VERB
ejpam-1352	26	12	to	to	PART
ejpam-1352	26	13	be	be	AUX
ejpam-1352	26	14	a	a	DET
ejpam-1352	26	15	byte	byte	NOUN
ejpam-1352	26	16	error	error	NOUN
ejpam-1352	26	17	control	control	NOUN
ejpam-1352	26	18	code	code	NOUN
ejpam-1352	26	19	of	of	ADP
ejpam-1352	26	20	length	length	NOUN
ejpam-1352	26	21	n	n	PROPN
ejpam-1352	26	22	and	and	CCONJ
ejpam-1352	26	23	byte	byte	VERB
ejpam-1352	26	24	length	length	NOUN
ejpam-1352	26	25	b	b	NOUN
ejpam-1352	26	26	over	over	ADP
ejpam-1352	26	27	r2	r2	PROPN
ejpam-1352	26	28	if	if	SCONJ
ejpam-1352	26	29	and	and	CCONJ
ejpam-1352	26	30	only	only	ADV
ejpam-1352	26	31	if	if	SCONJ
ejpam-1352	26	32	c	c	PROPN
ejpam-1352	26	33	is	be	AUX
ejpam-1352	26	34	an	an	DET
ejpam-1352	26	35	r2−submodule	r2−submodule	NOUN
ejpam-1352	26	36	of	of	ADP
ejpam-1352	26	37	rn	rn	PROPN
ejpam-1352	26	38	2	2	NUM
ejpam-1352	26	39	.	.	PUNCT
ejpam-1352	27	1	the	the	DET
ejpam-1352	27	2	elements	element	NOUN
ejpam-1352	27	3	of	of	ADP
ejpam-1352	27	4	c	c	PROPN
ejpam-1352	27	5	are	be	AUX
ejpam-1352	27	6	called	call	VERB
ejpam-1352	27	7	codewords	codeword	NOUN
ejpam-1352	27	8	.	.	PUNCT
ejpam-1352	28	1	let	let	VERB
ejpam-1352	28	2	v	v	NOUN
ejpam-1352	28	3	=	=	SYM
ejpam-1352	28	4	�	�	PROPN
ejpam-1352	28	5	v11	v11	NOUN
ejpam-1352	28	6	,	,	PUNCT
ejpam-1352	28	7	v12	v12	VERB
ejpam-1352	28	8	,	,	PUNCT
ejpam-1352	28	9	.	.	PUNCT
ejpam-1352	28	10	.	.	PUNCT
ejpam-1352	29	1	.	.	PUNCT
ejpam-1352	30	1	,	,	PUNCT
ejpam-1352	30	2	v1b	v1b	PROPN
ejpam-1352	30	3	,	,	PUNCT
ejpam-1352	30	4	.	.	PUNCT
ejpam-1352	30	5	.	.	PUNCT
ejpam-1352	31	1	.	.	PUNCT
ejpam-1352	32	1	,	,	PUNCT
ejpam-1352	32	2	vn1	vn1	NOUN
ejpam-1352	32	3	,	,	PUNCT
ejpam-1352	32	4	vn2	vn2	NOUN
ejpam-1352	32	5	,	,	PUNCT
ejpam-1352	32	6	.	.	PUNCT
ejpam-1352	32	7	.	.	PUNCT
ejpam-1352	32	8	.	.	PUNCT
ejpam-1352	33	1	,	,	PUNCT
ejpam-1352	33	2	vnb	vnb	PROPN
ejpam-1352	33	3	�	�	PROPN
ejpam-1352	33	4	∈	∈	PROPN
ejpam-1352	33	5	rbn	rbn	PROPN
ejpam-1352	33	6	2	2	NUM
ejpam-1352	33	7	be	be	AUX
ejpam-1352	33	8	a	a	DET
ejpam-1352	33	9	vector	vector	NOUN
ejpam-1352	33	10	of	of	ADP
ejpam-1352	33	11	length	length	NOUN
ejpam-1352	33	12	n	n	NOUN
ejpam-1352	33	13	=	=	SYM
ejpam-1352	33	14	bn	bn	PROPN
ejpam-1352	33	15	.	.	PUNCT
ejpam-1352	34	1	the	the	DET
ejpam-1352	34	2	first	first	ADJ
ejpam-1352	34	3	byte	byte	NOUN
ejpam-1352	34	4	of	of	ADP
ejpam-1352	34	5	v	v	NOUN
ejpam-1352	34	6	consists	consist	VERB
ejpam-1352	34	7	of	of	ADP
ejpam-1352	34	8	the	the	DET
ejpam-1352	34	9	first	first	ADJ
ejpam-1352	34	10	b	b	PROPN
ejpam-1352	34	11	entries	entry	NOUN
ejpam-1352	34	12	denoted	denote	VERB
ejpam-1352	34	13	by	by	ADP
ejpam-1352	34	14	�	�	PROPN
ejpam-1352	34	15	v11	v11	PROPN
ejpam-1352	34	16	,	,	PUNCT
ejpam-1352	34	17	v12	v12	VERB
ejpam-1352	34	18	,	,	PUNCT
ejpam-1352	34	19	.	.	PUNCT
ejpam-1352	34	20	.	.	PUNCT
ejpam-1352	35	1	.	.	PUNCT
ejpam-1352	36	1	,	,	PUNCT
ejpam-1352	36	2	v1b	v1b	X
ejpam-1352	36	3	�	�	PROPN
ejpam-1352	36	4	.	.	PUNCT
ejpam-1352	37	1	hence	hence	ADV
ejpam-1352	37	2	,	,	PUNCT
ejpam-1352	37	3	the	the	DET
ejpam-1352	37	4	i	i	PROPN
ejpam-1352	37	5	th	th	X
ejpam-1352	37	6	byte	byte	NOUN
ejpam-1352	37	7	of	of	ADP
ejpam-1352	37	8	v	v	NOUN
ejpam-1352	37	9	will	will	AUX
ejpam-1352	37	10	be	be	AUX
ejpam-1352	37	11	denoted	denote	VERB
ejpam-1352	37	12	by	by	ADP
ejpam-1352	37	13	vi	vi	PROPN
ejpam-1352	37	14	=	=	SYM
ejpam-1352	37	15	�	�	PROPN
ejpam-1352	37	16	vi1	vi1	PROPN
ejpam-1352	37	17	,	,	PUNCT
ejpam-1352	37	18	vi2	vi2	NOUN
ejpam-1352	37	19	,	,	PUNCT
ejpam-1352	37	20	.	.	PUNCT
ejpam-1352	37	21	.	.	PUNCT
ejpam-1352	38	1	.	.	PUNCT
ejpam-1352	39	1	,	,	PUNCT
ejpam-1352	39	2	vi	vi	PROPN
ejpam-1352	39	3	b	b	PROPN
ejpam-1352	39	4	�	�	PROPN
ejpam-1352	39	5	.	.	PUNCT
ejpam-1352	40	1	then	then	ADV
ejpam-1352	40	2	for	for	ADP
ejpam-1352	40	3	any	any	DET
ejpam-1352	40	4	two	two	NUM
ejpam-1352	40	5	vectors	vector	NOUN
ejpam-1352	40	6	u	u	NOUN
ejpam-1352	40	7	=	=	PROPN
ejpam-1352	40	8	�	�	PROPN
ejpam-1352	40	9	u1,u2	u1,u2	PROPN
ejpam-1352	40	10	,	,	PUNCT
ejpam-1352	40	11	.	.	PUNCT
ejpam-1352	40	12	.	.	PUNCT
ejpam-1352	40	13	.	.	PUNCT
ejpam-1352	41	1	,	,	PUNCT
ejpam-1352	41	2	un	un	PROPN
ejpam-1352	41	3	�	�	PROPN
ejpam-1352	41	4	and	and	CCONJ
ejpam-1352	41	5	v	v	NOUN
ejpam-1352	41	6	=	=	SYM
ejpam-1352	41	7	�	�	PROPN
ejpam-1352	41	8	v1	v1	PROPN
ejpam-1352	41	9	,	,	PUNCT
ejpam-1352	41	10	v2	v2	PROPN
ejpam-1352	41	11	,	,	PUNCT
ejpam-1352	41	12	.	.	PUNCT
ejpam-1352	41	13	.	.	PUNCT
ejpam-1352	42	1	.	.	PUNCT
ejpam-1352	43	1	,	,	PUNCT
ejpam-1352	43	2	vn	vn	PROPN
ejpam-1352	43	3	�	�	PROPN
ejpam-1352	43	4	∈	∈	PROPN
ejpam-1352	43	5	rn	rn	PROPN
ejpam-1352	43	6	2	2	NUM
ejpam-1352	43	7	,	,	PUNCT
ejpam-1352	43	8	the	the	DET
ejpam-1352	43	9	inner	inner	ADJ
ejpam-1352	43	10	product	product	NOUN
ejpam-1352	43	11	of	of	ADP
ejpam-1352	43	12	u	u	NOUN
ejpam-1352	43	13	and	and	CCONJ
ejpam-1352	43	14	v	v	NOUN
ejpam-1352	43	15	,	,	PUNCT
ejpam-1352	43	16	denoted	denote	VERB
ejpam-1352	43	17	by	by	ADP
ejpam-1352	43	18	〈	〈	PROPN
ejpam-1352	43	19	u	u	NOUN
ejpam-1352	43	20	,	,	PUNCT
ejpam-1352	43	21	v	v	NOUN
ejpam-1352	43	22	〉	〉	NOUN
ejpam-1352	43	23	,	,	PUNCT
ejpam-1352	43	24	is	be	AUX
ejpam-1352	43	25	defined	define	VERB
ejpam-1352	43	26	as	as	SCONJ
ejpam-1352	43	27	follows	follow	VERB
ejpam-1352	43	28	:	:	PUNCT
ejpam-1352	43	29	〈	〈	NOUN
ejpam-1352	43	30	u	u	NOUN
ejpam-1352	43	31	,	,	PUNCT
ejpam-1352	43	32	v〉=	v〉=	NOUN
ejpam-1352	44	1	n∑	n∑	PROPN
ejpam-1352	44	2	i=1	i=1	PROPN
ejpam-1352	45	1	ui	ui	PROPN
ejpam-1352	45	2	,	,	PUNCT
ejpam-1352	45	3	vi	vi	PROPN
ejpam-1352	45	4	�	�	PROPN
ejpam-1352	45	5	=	=	SYM
ejpam-1352	45	6	n∑	n∑	PROPN
ejpam-1352	45	7	i=1	i=1	PROPN
ejpam-1352	45	8			VERB
ejpam-1352	45	9			ADJ
ejpam-1352	46	1	b∑	b∑	NOUN
ejpam-1352	46	2	j=1	j=1	PROPN
ejpam-1352	46	3	ui	ui	PROPN
ejpam-1352	47	1	j	j	PROPN
ejpam-1352	47	2	vi	vi	PROPN
ejpam-1352	47	3	j	j	PROPN
ejpam-1352	47	4			X
ejpam-1352	48	1	.	.	ADV
ejpam-1352	48	2	here	here	ADV
ejpam-1352	48	3	,	,	PUNCT
ejpam-1352	48	4	ui	ui	PROPN
ejpam-1352	48	5	,	,	PUNCT
ejpam-1352	48	6	vi	vi	PROPN
ejpam-1352	48	7	�	�	PROPN
ejpam-1352	48	8	=	=	SYM
ejpam-1352	48	9	b∑	b∑	PROPN
ejpam-1352	49	1	j=1	j=1	PROPN
ejpam-1352	49	2	ui	ui	PROPN
ejpam-1352	50	1	j	j	PROPN
ejpam-1352	50	2	vi	vi	PROPN
ejpam-1352	50	3	j	j	PROPN
ejpam-1352	50	4	denotes	denote	VERB
ejpam-1352	50	5	the	the	DET
ejpam-1352	50	6	inner	inner	ADJ
ejpam-1352	50	7	product	product	NOUN
ejpam-1352	50	8	of	of	ADP
ejpam-1352	50	9	the	the	DET
ejpam-1352	50	10	bytes	byte	NOUN
ejpam-1352	50	11	ui	ui	PROPN
ejpam-1352	50	12	and	and	CCONJ
ejpam-1352	50	13	vi	vi	PROPN
ejpam-1352	50	14	.	.	PUNCT
ejpam-1352	50	15	also	also	ADV
ejpam-1352	50	16	,	,	PUNCT
ejpam-1352	50	17	ui	ui	PROPN
ejpam-1352	50	18	j	j	PROPN
ejpam-1352	50	19	and	and	CCONJ
ejpam-1352	50	20	vi	vi	PROPN
ejpam-1352	50	21	j	j	PROPN
ejpam-1352	50	22	are	be	AUX
ejpam-1352	50	23	the	the	DET
ejpam-1352	50	24	j	j	PROPN
ejpam-1352	50	25	th	th	X
ejpam-1352	50	26	bits	bit	NOUN
ejpam-1352	50	27	of	of	ADP
ejpam-1352	50	28	ui	ui	PROPN
ejpam-1352	50	29	and	and	CCONJ
ejpam-1352	50	30	vi	vi	NOUN
ejpam-1352	50	31	,	,	PUNCT
ejpam-1352	50	32	respectively	respectively	ADV
ejpam-1352	50	33	.	.	PUNCT
ejpam-1352	51	1	for	for	ADP
ejpam-1352	51	2	a	a	DET
ejpam-1352	51	3	byte	byte	NOUN
ejpam-1352	51	4	error	error	NOUN
ejpam-1352	51	5	control	control	NOUN
ejpam-1352	51	6	code	code	NOUN
ejpam-1352	51	7	of	of	ADP
ejpam-1352	51	8	length	length	NOUN
ejpam-1352	51	9	bn	bn	NOUN
ejpam-1352	51	10	over	over	ADP
ejpam-1352	51	11	r	r	NOUN
ejpam-1352	51	12	having	have	VERB
ejpam-1352	51	13	byte	byte	NOUN
ejpam-1352	51	14	length	length	NOUN
ejpam-1352	51	15	b	b	PROPN
ejpam-1352	51	16	,	,	PUNCT
ejpam-1352	51	17	the	the	DET
ejpam-1352	51	18	set	set	NOUN
ejpam-1352	51	19	c⊥	c⊥	X
ejpam-1352	51	20	=	=	SYM
ejpam-1352	51	21	¦	¦	NOUN
ejpam-1352	51	22	v	v	X
ejpam-1352	51	23	∈	∈	PROPN
ejpam-1352	51	24	rbn	rbn	PROPN
ejpam-1352	51	25	2	2	NUM
ejpam-1352	51	26	:	:	PUNCT
ejpam-1352	51	27	〈	〈	PROPN
ejpam-1352	51	28	c	c	PROPN
ejpam-1352	51	29	,	,	PUNCT
ejpam-1352	51	30	v	v	NOUN
ejpam-1352	51	31	〉	〉	NOUN
ejpam-1352	51	32	=	=	SYM
ejpam-1352	51	33	0	0	NUM
ejpam-1352	51	34	for	for	ADP
ejpam-1352	51	35	all	all	DET
ejpam-1352	51	36	c	c	NOUN
ejpam-1352	51	37	∈	∈	NOUN
ejpam-1352	51	38	c	c	NOUN
ejpam-1352	51	39	©	©	PROPN
ejpam-1352	51	40	is	be	AUX
ejpam-1352	51	41	called	call	VERB
ejpam-1352	51	42	the	the	DET
ejpam-1352	51	43	dual	dual	ADJ
ejpam-1352	51	44	code	code	NOUN
ejpam-1352	51	45	of	of	ADP
ejpam-1352	51	46	c	c	PROPN
ejpam-1352	51	47	.	.	PUNCT
ejpam-1352	52	1	first	first	ADV
ejpam-1352	52	2	,	,	PUNCT
ejpam-1352	52	3	we	we	PRON
ejpam-1352	52	4	define	define	VERB
ejpam-1352	52	5	the	the	DET
ejpam-1352	52	6	t	t	PROPN
ejpam-1352	52	7	/	/	SYM
ejpam-1352	52	8	b−error	b−error	PROPN
ejpam-1352	52	9	as	as	SCONJ
ejpam-1352	52	10	follows	follow	VERB
ejpam-1352	52	11	:	:	PUNCT
ejpam-1352	52	12	definition	definition	NOUN
ejpam-1352	52	13	1	1	NUM
ejpam-1352	52	14	.	.	PUNCT
ejpam-1352	53	1	[	[	X
ejpam-1352	53	2	7	7	X
ejpam-1352	53	3	]	]	X
ejpam-1352	53	4	an	an	DET
ejpam-1352	53	5	error	error	NOUN
ejpam-1352	53	6	is	be	AUX
ejpam-1352	53	7	said	say	VERB
ejpam-1352	53	8	to	to	PART
ejpam-1352	53	9	be	be	AUX
ejpam-1352	53	10	a	a	DET
ejpam-1352	53	11	t	t	PROPN
ejpam-1352	53	12	/	/	SYM
ejpam-1352	53	13	b−error	b−error	PROPN
ejpam-1352	53	14	or	or	CCONJ
ejpam-1352	53	15	a	a	DET
ejpam-1352	53	16	spotty	spotty	ADJ
ejpam-1352	53	17	byte	byte	NOUN
ejpam-1352	53	18	error	error	NOUN
ejpam-1352	53	19	if	if	SCONJ
ejpam-1352	53	20	t	t	NOUN
ejpam-1352	53	21	or	or	CCONJ
ejpam-1352	53	22	fewer	few	ADJ
ejpam-1352	53	23	bits	bit	NOUN
ejpam-1352	53	24	within	within	ADP
ejpam-1352	53	25	a	a	DET
ejpam-1352	53	26	b−bit	b−bit	NOUN
ejpam-1352	53	27	byte	byte	NOUN
ejpam-1352	53	28	are	be	AUX
ejpam-1352	53	29	in	in	ADP
ejpam-1352	53	30	error	error	NOUN
ejpam-1352	53	31	,	,	PUNCT
ejpam-1352	53	32	where	where	SCONJ
ejpam-1352	53	33	1¶	1¶	PROPN
ejpam-1352	53	34	t	t	PROPN
ejpam-1352	53	35	¶	¶	PROPN
ejpam-1352	53	36	b.	b.	PROPN
ejpam-1352	53	37	if	if	SCONJ
ejpam-1352	53	38	there	there	PRON
ejpam-1352	53	39	exist	exist	VERB
ejpam-1352	53	40	more	more	ADV
ejpam-1352	53	41	than	than	SCONJ
ejpam-1352	53	42	t−bit	t−bit	VERB
ejpam-1352	53	43	errors	error	NOUN
ejpam-1352	53	44	in	in	ADP
ejpam-1352	53	45	a	a	DET
ejpam-1352	53	46	byte	byte	NOUN
ejpam-1352	53	47	,	,	PUNCT
ejpam-1352	53	48	the	the	DET
ejpam-1352	53	49	errors	error	NOUN
ejpam-1352	53	50	are	be	AUX
ejpam-1352	53	51	called	call	VERB
ejpam-1352	53	52	multiple	multiple	ADJ
ejpam-1352	53	53	t	t	PROPN
ejpam-1352	53	54	/	/	SYM
ejpam-1352	53	55	b−errors	b−error	NOUN
ejpam-1352	53	56	in	in	ADP
ejpam-1352	53	57	a	a	DET
ejpam-1352	53	58	byte	byte	NOUN
ejpam-1352	53	59	.	.	PUNCT
ejpam-1352	54	1	definition	definition	NOUN
ejpam-1352	54	2	2	2	NUM
ejpam-1352	54	3	.	.	PUNCT
ejpam-1352	55	1	[	[	X
ejpam-1352	55	2	6	6	NUM
ejpam-1352	55	3	]	]	PUNCT
ejpam-1352	55	4	an	an	DET
ejpam-1352	55	5	error	error	NOUN
ejpam-1352	55	6	is	be	AUX
ejpam-1352	55	7	said	say	VERB
ejpam-1352	55	8	to	to	PART
ejpam-1352	55	9	be	be	AUX
ejpam-1352	55	10	an	an	DET
ejpam-1352	55	11	m	m	ADJ
ejpam-1352	55	12	-	-	ADJ
ejpam-1352	55	13	spotty	spotty	ADJ
ejpam-1352	55	14	byte	byte	NOUN
ejpam-1352	55	15	error	error	NOUN
ejpam-1352	55	16	if	if	SCONJ
ejpam-1352	55	17	at	at	ADV
ejpam-1352	55	18	least	least	ADV
ejpam-1352	55	19	one	one	NUM
ejpam-1352	55	20	t	t	PROPN
ejpam-1352	55	21	/	/	SYM
ejpam-1352	55	22	b−error	b−error	PROPN
ejpam-1352	55	23	is	be	AUX
ejpam-1352	55	24	present	present	ADJ
ejpam-1352	55	25	in	in	ADP
ejpam-1352	55	26	a	a	DET
ejpam-1352	55	27	byte	byte	NOUN
ejpam-1352	55	28	.	.	PUNCT
ejpam-1352	56	1	we	we	PRON
ejpam-1352	56	2	now	now	ADV
ejpam-1352	56	3	present	present	VERB
ejpam-1352	56	4	the	the	DET
ejpam-1352	56	5	following	follow	VERB
ejpam-1352	56	6	definitions	definition	NOUN
ejpam-1352	56	7	in	in	ADP
ejpam-1352	56	8	order	order	NOUN
ejpam-1352	56	9	to	to	PART
ejpam-1352	56	10	define	define	VERB
ejpam-1352	56	11	the	the	DET
ejpam-1352	56	12	m	m	NOUN
ejpam-1352	56	13	-	-	ADJ
ejpam-1352	56	14	spotty	spotty	ADJ
ejpam-1352	56	15	hamming	hamming	NOUN
ejpam-1352	56	16	weight	weight	NOUN
ejpam-1352	56	17	enumerator	enumerator	NOUN
ejpam-1352	56	18	of	of	ADP
ejpam-1352	56	19	byte	byte	NOUN
ejpam-1352	56	20	error	error	NOUN
ejpam-1352	56	21	control	control	NOUN
ejpam-1352	56	22	code	code	NOUN
ejpam-1352	56	23	.	.	PUNCT
ejpam-1352	57	1	v.	v.	PROPN
ejpam-1352	57	2	şiap	şiap	PROPN
ejpam-1352	57	3	,	,	PUNCT
ejpam-1352	57	4	m.	m.	NOUN
ejpam-1352	57	5	özen	özen	NOUN
ejpam-1352	57	6	/	/	SYM
ejpam-1352	57	7	eur	eur	NOUN
ejpam-1352	57	8	.	.	PUNCT
ejpam-1352	58	1	j.	j.	PROPN
ejpam-1352	58	2	pure	pure	PROPN
ejpam-1352	58	3	appl	appl	PROPN
ejpam-1352	58	4	.	.	PROPN
ejpam-1352	58	5	math	math	PROPN
ejpam-1352	58	6	,	,	PUNCT
ejpam-1352	58	7	5	5	NUM
ejpam-1352	58	8	(	(	PUNCT
ejpam-1352	58	9	2012	2012	NUM
ejpam-1352	58	10	)	)	PUNCT
ejpam-1352	58	11	,	,	PUNCT
ejpam-1352	58	12	373	373	NUM
ejpam-1352	58	13	-	-	SYM
ejpam-1352	58	14	379	379	NUM
ejpam-1352	58	15	375	375	NUM
ejpam-1352	58	16	definition	definition	NOUN
ejpam-1352	58	17	3	3	NUM
ejpam-1352	58	18	.	.	PUNCT
ejpam-1352	59	1	[	[	X
ejpam-1352	59	2	6	6	NUM
ejpam-1352	59	3	]	]	PUNCT
ejpam-1352	59	4	let	let	VERB
ejpam-1352	59	5	e	e	PROPN
ejpam-1352	59	6	∈	∈	PROPN
ejpam-1352	59	7	rn	rn	PROPN
ejpam-1352	59	8	2	2	NUM
ejpam-1352	59	9	be	be	AUX
ejpam-1352	59	10	an	an	DET
ejpam-1352	59	11	error	error	NOUN
ejpam-1352	59	12	vector	vector	NOUN
ejpam-1352	59	13	and	and	CCONJ
ejpam-1352	59	14	ei	ei	NOUN
ejpam-1352	59	15	∈	∈	NOUN
ejpam-1352	59	16	rb	rb	NOUN
ejpam-1352	59	17	2	2	NUM
ejpam-1352	59	18	be	be	AUX
ejpam-1352	59	19	the	the	DET
ejpam-1352	59	20	i	i	NOUN
ejpam-1352	59	21	th	th	X
ejpam-1352	59	22	byte	byte	NOUN
ejpam-1352	59	23	of	of	ADP
ejpam-1352	59	24	e	e	NOUN
ejpam-1352	59	25	,	,	PUNCT
ejpam-1352	59	26	where	where	SCONJ
ejpam-1352	59	27	1¶	1¶	NOUN
ejpam-1352	59	28	i	i	NOUN
ejpam-1352	59	29	¶	¶	VERB
ejpam-1352	59	30	n.	n.	VERB
ejpam-1352	59	31	the	the	DET
ejpam-1352	59	32	number	number	NOUN
ejpam-1352	59	33	of	of	ADP
ejpam-1352	59	34	t	t	PROPN
ejpam-1352	59	35	/	/	SYM
ejpam-1352	59	36	b−errors	b−errors	PROPN
ejpam-1352	59	37	in	in	ADP
ejpam-1352	59	38	e	e	NOUN
ejpam-1352	59	39	,	,	PUNCT
ejpam-1352	59	40	denoted	denote	VERB
ejpam-1352	59	41	by	by	ADP
ejpam-1352	59	42	wm	wm	PROPN
ejpam-1352	59	43	(	(	PUNCT
ejpam-1352	59	44	e	e	NOUN
ejpam-1352	59	45	)	)	PUNCT
ejpam-1352	59	46	,	,	PUNCT
ejpam-1352	59	47	is	be	AUX
ejpam-1352	59	48	called	call	VERB
ejpam-1352	59	49	the	the	DET
ejpam-1352	59	50	m	m	NOUN
ejpam-1352	59	51	-	-	ADJ
ejpam-1352	59	52	spotty	spotty	ADJ
ejpam-1352	59	53	hamming	hamming	NOUN
ejpam-1352	59	54	weight	weight	NOUN
ejpam-1352	59	55	and	and	CCONJ
ejpam-1352	59	56	is	be	AUX
ejpam-1352	59	57	defined	define	VERB
ejpam-1352	59	58	as	as	ADP
ejpam-1352	59	59	wm	wm	PROPN
ejpam-1352	59	60	(	(	PUNCT
ejpam-1352	59	61	e	e	NOUN
ejpam-1352	59	62	)	)	PUNCT
ejpam-1352	60	1	=	=	SYM
ejpam-1352	60	2	n∑	n∑	NOUN
ejpam-1352	61	1	i=1	i=1	PROPN
ejpam-1352	61	2	¢	¢	PROPN
ejpam-1352	61	3	w	w	PROPN
ejpam-1352	61	4	�	�	PROPN
ejpam-1352	61	5	ei	ei	X
ejpam-1352	61	6	�	�	PROPN
ejpam-1352	61	7	t	t	PROPN
ejpam-1352	61	8	¥	¥	PROPN
ejpam-1352	61	9	,	,	PUNCT
ejpam-1352	61	10	where	where	SCONJ
ejpam-1352	61	11	w	w	PROPN
ejpam-1352	61	12	�	�	PROPN
ejpam-1352	61	13	ei	ei	X
ejpam-1352	61	14	�	�	PROPN
ejpam-1352	61	15	denotes	denote	VERB
ejpam-1352	61	16	the	the	DET
ejpam-1352	61	17	hamming	hamming	NOUN
ejpam-1352	61	18	weight	weight	NOUN
ejpam-1352	61	19	of	of	ADP
ejpam-1352	61	20	ei	ei	NOUN
ejpam-1352	61	21	over	over	ADP
ejpam-1352	61	22	r2	r2	PROPN
ejpam-1352	61	23	,	,	PUNCT
ejpam-1352	61	24	which	which	PRON
ejpam-1352	61	25	is	be	AUX
ejpam-1352	61	26	equal	equal	ADJ
ejpam-1352	61	27	to	to	ADP
ejpam-1352	61	28	the	the	DET
ejpam-1352	61	29	number	number	NOUN
ejpam-1352	61	30	of	of	ADP
ejpam-1352	61	31	non	non	ADJ
ejpam-1352	61	32	-	-	ADJ
ejpam-1352	61	33	zero	zero	NUM
ejpam-1352	61	34	components	component	NOUN
ejpam-1352	61	35	of	of	ADP
ejpam-1352	61	36	ei	ei	NOUN
ejpam-1352	61	37	.	.	PUNCT
ejpam-1352	62	1	here	here	ADV
ejpam-1352	62	2	,	,	PUNCT
ejpam-1352	62	3	⌈x⌉	⌈x⌉	NOUN
ejpam-1352	62	4	denotes	denote	VERB
ejpam-1352	62	5	the	the	DET
ejpam-1352	62	6	ceiling	ceiling	NOUN
ejpam-1352	62	7	value	value	NOUN
ejpam-1352	62	8	of	of	ADP
ejpam-1352	62	9	x	x	X
ejpam-1352	62	10	,	,	PUNCT
ejpam-1352	62	11	i.e.	i.e.	X
ejpam-1352	62	12	,	,	PUNCT
ejpam-1352	62	13	the	the	DET
ejpam-1352	62	14	number	number	NOUN
ejpam-1352	62	15	⌈x⌉	⌈x⌉	NOUN
ejpam-1352	62	16	is	be	AUX
ejpam-1352	62	17	equal	equal	ADJ
ejpam-1352	62	18	to	to	ADP
ejpam-1352	62	19	the	the	DET
ejpam-1352	62	20	smallest	small	ADJ
ejpam-1352	62	21	integer	integer	NOUN
ejpam-1352	62	22	not	not	PART
ejpam-1352	62	23	less	less	ADJ
ejpam-1352	62	24	than	than	ADP
ejpam-1352	62	25	x.	x.	NOUN
ejpam-1352	62	26	if	if	SCONJ
ejpam-1352	62	27	t	t	PROPN
ejpam-1352	62	28	=	=	SYM
ejpam-1352	62	29	b	b	PROPN
ejpam-1352	62	30	,	,	PUNCT
ejpam-1352	62	31	the	the	DET
ejpam-1352	62	32	m	m	NOUN
ejpam-1352	62	33	-	-	ADJ
ejpam-1352	62	34	spotty	spotty	ADJ
ejpam-1352	62	35	hamming	hamming	NOUN
ejpam-1352	62	36	weight	weight	NOUN
ejpam-1352	62	37	equals	equal	VERB
ejpam-1352	62	38	to	to	ADP
ejpam-1352	62	39	the	the	DET
ejpam-1352	62	40	hamming	hamming	NOUN
ejpam-1352	62	41	weight	weight	NOUN
ejpam-1352	62	42	in	in	ADP
ejpam-1352	62	43	rb	rb	NOUN
ejpam-1352	62	44	2	2	NUM
ejpam-1352	62	45	.	.	PUNCT
ejpam-1352	63	1	in	in	ADP
ejpam-1352	63	2	addition	addition	NOUN
ejpam-1352	63	3	,	,	PUNCT
ejpam-1352	63	4	if	if	SCONJ
ejpam-1352	63	5	t	t	NOUN
ejpam-1352	63	6	=	=	SYM
ejpam-1352	63	7	1	1	NUM
ejpam-1352	63	8	,	,	PUNCT
ejpam-1352	63	9	then	then	ADV
ejpam-1352	63	10	wm	wm	PROPN
ejpam-1352	63	11	(	(	PUNCT
ejpam-1352	63	12	e	e	NOUN
ejpam-1352	63	13	)	)	PUNCT
ejpam-1352	63	14	=	=	SYM
ejpam-1352	63	15	w	w	PROPN
ejpam-1352	63	16	(	(	PUNCT
ejpam-1352	63	17	e	e	NOUN
ejpam-1352	63	18	)	)	PUNCT
ejpam-1352	63	19	.	.	PUNCT
ejpam-1352	64	1	definition	definition	NOUN
ejpam-1352	64	2	4	4	NUM
ejpam-1352	64	3	.	.	PUNCT
ejpam-1352	65	1	[	[	X
ejpam-1352	65	2	6	6	NUM
ejpam-1352	65	3	]	]	PUNCT
ejpam-1352	65	4	let	let	VERB
ejpam-1352	65	5	c	c	NOUN
ejpam-1352	65	6	=	=	SYM
ejpam-1352	65	7	�	�	PROPN
ejpam-1352	65	8	c1	c1	PROPN
ejpam-1352	65	9	,	,	PUNCT
ejpam-1352	65	10	c2	c2	PROPN
ejpam-1352	65	11	,	,	PUNCT
ejpam-1352	65	12	.	.	PUNCT
ejpam-1352	65	13	.	.	PUNCT
ejpam-1352	66	1	.	.	PUNCT
ejpam-1352	67	1	,	,	PUNCT
ejpam-1352	67	2	cn	cn	PROPN
ejpam-1352	67	3	�	�	PROPN
ejpam-1352	67	4	and	and	CCONJ
ejpam-1352	67	5	v	v	NOUN
ejpam-1352	67	6	=	=	SYM
ejpam-1352	67	7	�	�	PROPN
ejpam-1352	67	8	v1	v1	PROPN
ejpam-1352	67	9	,	,	PUNCT
ejpam-1352	67	10	v2	v2	PROPN
ejpam-1352	67	11	,	,	PUNCT
ejpam-1352	67	12	.	.	PUNCT
ejpam-1352	67	13	.	.	PUNCT
ejpam-1352	68	1	.	.	PUNCT
ejpam-1352	69	1	,	,	PUNCT
ejpam-1352	69	2	vn	vn	PROPN
ejpam-1352	69	3	�	�	PROPN
ejpam-1352	69	4	be	be	AUX
ejpam-1352	69	5	codewords	codeword	NOUN
ejpam-1352	69	6	of	of	ADP
ejpam-1352	69	7	an	an	DET
ejpam-1352	69	8	m	m	ADJ
ejpam-1352	69	9	-	-	ADJ
ejpam-1352	69	10	spotty	spotty	ADJ
ejpam-1352	69	11	byte	byte	NOUN
ejpam-1352	69	12	error	error	NOUN
ejpam-1352	69	13	control	control	NOUN
ejpam-1352	69	14	code	code	PROPN
ejpam-1352	69	15	c.	c.	PROPN
ejpam-1352	69	16	here	here	ADV
ejpam-1352	69	17	,	,	PUNCT
ejpam-1352	69	18	ci	ci	PROPN
ejpam-1352	69	19	and	and	CCONJ
ejpam-1352	69	20	vi	vi	PROPN
ejpam-1352	69	21	are	be	AUX
ejpam-1352	69	22	the	the	DET
ejpam-1352	69	23	i	i	NOUN
ejpam-1352	69	24	th	th	X
ejpam-1352	69	25	bytes	byte	NOUN
ejpam-1352	69	26	of	of	ADP
ejpam-1352	69	27	c	c	PROPN
ejpam-1352	69	28	and	and	CCONJ
ejpam-1352	69	29	v	v	NOUN
ejpam-1352	69	30	,	,	PUNCT
ejpam-1352	69	31	respectively	respectively	ADV
ejpam-1352	69	32	.	.	PUNCT
ejpam-1352	70	1	then	then	ADV
ejpam-1352	70	2	,	,	PUNCT
ejpam-1352	70	3	the	the	DET
ejpam-1352	70	4	m	m	NOUN
ejpam-1352	70	5	-	-	ADJ
ejpam-1352	70	6	spotty	spotty	ADJ
ejpam-1352	70	7	hamming	hamming	NOUN
ejpam-1352	70	8	distance	distance	NOUN
ejpam-1352	70	9	between	between	ADP
ejpam-1352	70	10	c	c	PROPN
ejpam-1352	70	11	and	and	CCONJ
ejpam-1352	70	12	v	v	NOUN
ejpam-1352	70	13	,	,	PUNCT
ejpam-1352	70	14	denoted	denote	VERB
ejpam-1352	70	15	by	by	ADP
ejpam-1352	70	16	dm	dm	PROPN
ejpam-1352	70	17	(	(	PUNCT
ejpam-1352	70	18	c	c	NOUN
ejpam-1352	70	19	,	,	PUNCT
ejpam-1352	70	20	v	v	NOUN
ejpam-1352	70	21	)	)	PUNCT
ejpam-1352	70	22	,	,	PUNCT
ejpam-1352	70	23	is	be	AUX
ejpam-1352	70	24	defined	define	VERB
ejpam-1352	70	25	as	as	SCONJ
ejpam-1352	70	26	follows	follow	VERB
ejpam-1352	70	27	:	:	PUNCT
ejpam-1352	70	28	dm	dm	NUM
ejpam-1352	70	29	(	(	PUNCT
ejpam-1352	70	30	c	c	NOUN
ejpam-1352	70	31	,	,	PUNCT
ejpam-1352	70	32	v	v	NOUN
ejpam-1352	70	33	)	)	PUNCT
ejpam-1352	71	1	=	=	PUNCT
ejpam-1352	72	1	n∑	n∑	NOUN
ejpam-1352	72	2	i=1	i=1	PROPN
ejpam-1352	73	1	¢	¢	PROPN
ejpam-1352	74	1	d	d	PROPN
ejpam-1352	74	2	�	�	PROPN
ejpam-1352	74	3	ci	ci	PROPN
ejpam-1352	74	4	,	,	PUNCT
ejpam-1352	74	5	vi	vi	PROPN
ejpam-1352	74	6	�	�	PROPN
ejpam-1352	74	7	t	t	PROPN
ejpam-1352	74	8	¥	¥	PROPN
ejpam-1352	75	1	=	=	SYM
ejpam-1352	76	1	n∑	n∑	PROPN
ejpam-1352	77	1	i=1	i=1	PROPN
ejpam-1352	77	2	¢	¢	PROPN
ejpam-1352	77	3	w	w	PROPN
ejpam-1352	77	4	�	�	PROPN
ejpam-1352	77	5	ci	ci	PROPN
ejpam-1352	77	6	−	−	PROPN
ejpam-1352	77	7	vi	vi	PROPN
ejpam-1352	77	8	�	�	PROPN
ejpam-1352	78	1	t	t	PROPN
ejpam-1352	78	2	¥	¥	PROPN
ejpam-1352	78	3	=	=	SYM
ejpam-1352	78	4	wm	wm	PROPN
ejpam-1352	78	5	(	(	PUNCT
ejpam-1352	78	6	c	c	NOUN
ejpam-1352	78	7	−	−	PROPN
ejpam-1352	78	8	v	v	NOUN
ejpam-1352	78	9	)	)	PUNCT
ejpam-1352	78	10	,	,	PUNCT
ejpam-1352	78	11	where	where	SCONJ
ejpam-1352	78	12	d	d	PROPN
ejpam-1352	78	13	�	�	PROPN
ejpam-1352	78	14	ci	ci	PROPN
ejpam-1352	78	15	,	,	PUNCT
ejpam-1352	78	16	vi	vi	PROPN
ejpam-1352	78	17	�	�	PROPN
ejpam-1352	78	18	=	=	SYM
ejpam-1352	78	19	w	w	PROPN
ejpam-1352	78	20	�	�	PROPN
ejpam-1352	78	21	ci	ci	PROPN
ejpam-1352	78	22	−	−	PROPN
ejpam-1352	78	23	vi	vi	PROPN
ejpam-1352	78	24	�	�	PROPN
ejpam-1352	78	25	denotes	denote	VERB
ejpam-1352	78	26	the	the	DET
ejpam-1352	78	27	hamming	hamming	NOUN
ejpam-1352	78	28	distance	distance	NOUN
ejpam-1352	78	29	between	between	ADP
ejpam-1352	78	30	i	i	PRON
ejpam-1352	78	31	th	th	X
ejpam-1352	78	32	bytes	byte	VERB
ejpam-1352	78	33	ci	ci	NOUN
ejpam-1352	78	34	and	and	CCONJ
ejpam-1352	78	35	vi	vi	VERB
ejpam-1352	78	36	for	for	ADP
ejpam-1352	78	37	each	each	DET
ejpam-1352	78	38	i	i	PRON
ejpam-1352	78	39	over	over	ADP
ejpam-1352	78	40	r2	r2	PROPN
ejpam-1352	78	41	.	.	PUNCT
ejpam-1352	79	1	the	the	DET
ejpam-1352	79	2	following	follow	VERB
ejpam-1352	79	3	theorem	theorem	NOUN
ejpam-1352	79	4	is	be	AUX
ejpam-1352	79	5	originally	originally	ADV
ejpam-1352	79	6	proved	prove	VERB
ejpam-1352	79	7	for	for	ADP
ejpam-1352	79	8	the	the	DET
ejpam-1352	79	9	binary	binary	ADJ
ejpam-1352	79	10	field	field	NOUN
ejpam-1352	79	11	f2	f2	PROPN
ejpam-1352	79	12	given	give	VERB
ejpam-1352	79	13	in	in	ADP
ejpam-1352	79	14	the	the	DET
ejpam-1352	79	15	paper	paper	NOUN
ejpam-1352	80	1	[	[	X
ejpam-1352	80	2	6	6	NUM
ejpam-1352	80	3	]	]	PUNCT
ejpam-1352	80	4	.	.	PUNCT
ejpam-1352	81	1	theorem	theorem	NOUN
ejpam-1352	81	2	1	1	NUM
ejpam-1352	81	3	.	.	PUNCT
ejpam-1352	82	1	the	the	DET
ejpam-1352	82	2	m	m	NOUN
ejpam-1352	82	3	-	-	ADJ
ejpam-1352	82	4	spotty	spotty	ADJ
ejpam-1352	82	5	hamming	hamming	NOUN
ejpam-1352	82	6	distance	distance	NOUN
ejpam-1352	82	7	is	be	AUX
ejpam-1352	82	8	a	a	DET
ejpam-1352	82	9	metric	metric	NOUN
ejpam-1352	82	10	over	over	ADP
ejpam-1352	82	11	r2	r2	PROPN
ejpam-1352	82	12	.	.	PUNCT
ejpam-1352	83	1	definition	definition	NOUN
ejpam-1352	83	2	5	5	NUM
ejpam-1352	83	3	.	.	PUNCT
ejpam-1352	84	1	[	[	X
ejpam-1352	84	2	5	5	NUM
ejpam-1352	84	3	]	]	PUNCT
ejpam-1352	84	4	let	let	VERB
ejpam-1352	84	5	z	z	PRON
ejpam-1352	84	6	be	be	AUX
ejpam-1352	84	7	an	an	DET
ejpam-1352	84	8	indeterminate	indeterminate	ADJ
ejpam-1352	84	9	element	element	NOUN
ejpam-1352	84	10	.	.	PUNCT
ejpam-1352	85	1	the	the	DET
ejpam-1352	85	2	m	m	ADJ
ejpam-1352	85	3	-	-	ADJ
ejpam-1352	85	4	spotty	spotty	ADJ
ejpam-1352	85	5	hamming	hamming	NOUN
ejpam-1352	85	6	weight	weight	NOUN
ejpam-1352	85	7	enumerator	enumerator	NOUN
ejpam-1352	85	8	of	of	ADP
ejpam-1352	85	9	a	a	DET
ejpam-1352	85	10	byte	byte	NOUN
ejpam-1352	85	11	error	error	NOUN
ejpam-1352	85	12	control	control	NOUN
ejpam-1352	85	13	code	code	NOUN
ejpam-1352	85	14	c	c	PROPN
ejpam-1352	85	15	is	be	AUX
ejpam-1352	85	16	defined	define	VERB
ejpam-1352	85	17	as	as	SCONJ
ejpam-1352	85	18	follows	follow	VERB
ejpam-1352	85	19	:	:	PUNCT
ejpam-1352	85	20	wc	wc	PROPN
ejpam-1352	85	21	(	(	PUNCT
ejpam-1352	85	22	z	z	NOUN
ejpam-1352	85	23	)	)	PUNCT
ejpam-1352	85	24	=	=	SYM
ejpam-1352	85	25	∑	∑	PUNCT
ejpam-1352	85	26	c∈c	c∈c	NOUN
ejpam-1352	85	27	zwm	zwm	NOUN
ejpam-1352	85	28	(	(	PUNCT
ejpam-1352	85	29	c	c	NOUN
ejpam-1352	85	30	)	)	PUNCT
ejpam-1352	85	31	.	.	PUNCT
ejpam-1352	86	1	for	for	ADP
ejpam-1352	86	2	a	a	DET
ejpam-1352	86	3	codeword	codeword	NOUN
ejpam-1352	86	4	c	c	NOUN
ejpam-1352	86	5	,	,	PUNCT
ejpam-1352	86	6	let	let	VERB
ejpam-1352	86	7	α	α	PRON
ejpam-1352	86	8	j	j	PROPN
ejpam-1352	86	9	(	(	PUNCT
ejpam-1352	86	10	c	c	NOUN
ejpam-1352	86	11	)	)	PUNCT
ejpam-1352	86	12	be	be	AUX
ejpam-1352	86	13	the	the	DET
ejpam-1352	86	14	number	number	NOUN
ejpam-1352	86	15	of	of	ADP
ejpam-1352	86	16	bytes	byte	NOUN
ejpam-1352	86	17	having	have	VERB
ejpam-1352	86	18	the	the	DET
ejpam-1352	86	19	hamming	hamming	NOUN
ejpam-1352	86	20	weight	weight	PROPN
ejpam-1352	86	21	j	j	PROPN
ejpam-1352	86	22	,	,	PUNCT
ejpam-1352	86	23	0	0	NUM
ejpam-1352	86	24	¶	¶	PROPN
ejpam-1352	86	25	j	j	PROPN
ejpam-1352	86	26	¶	¶	PROPN
ejpam-1352	86	27	b.	b.	PROPN
ejpam-1352	87	1	the	the	DET
ejpam-1352	87	2	hamming	hamming	NOUN
ejpam-1352	87	3	weight	weight	NOUN
ejpam-1352	87	4	distribution	distribution	NOUN
ejpam-1352	87	5	vector	vector	NOUN
ejpam-1352	87	6	�	�	PROPN
ejpam-1352	87	7	α0	α0	PROPN
ejpam-1352	87	8	(	(	PUNCT
ejpam-1352	87	9	c	c	NOUN
ejpam-1352	87	10	)	)	PUNCT
ejpam-1352	87	11	,	,	PUNCT
ejpam-1352	87	12	α1	α1	PROPN
ejpam-1352	87	13	(	(	PUNCT
ejpam-1352	87	14	c	c	NOUN
ejpam-1352	87	15	)	)	PUNCT
ejpam-1352	87	16	,	,	PUNCT
ejpam-1352	87	17	.	.	PUNCT
ejpam-1352	87	18	.	.	PUNCT
ejpam-1352	87	19	.	.	PUNCT
ejpam-1352	88	1	,	,	PUNCT
ejpam-1352	88	2	αb	αb	X
ejpam-1352	88	3	(	(	PUNCT
ejpam-1352	88	4	c	c	X
ejpam-1352	88	5	)	)	PUNCT
ejpam-1352	88	6	�	�	PROPN
ejpam-1352	88	7	is	be	AUX
ejpam-1352	88	8	uniquely	uniquely	ADV
ejpam-1352	88	9	determined	determined	ADJ
ejpam-1352	88	10	for	for	ADP
ejpam-1352	88	11	the	the	DET
ejpam-1352	88	12	codeword	codeword	NOUN
ejpam-1352	88	13	c.	c.	NOUN
ejpam-1352	88	14	then	then	ADV
ejpam-1352	88	15	,	,	PUNCT
ejpam-1352	88	16	the	the	DET
ejpam-1352	88	17	m	m	NOUN
ejpam-1352	88	18	-	-	ADJ
ejpam-1352	88	19	spotty	spotty	ADJ
ejpam-1352	88	20	hamming	hamming	NOUN
ejpam-1352	88	21	weight	weight	NOUN
ejpam-1352	88	22	of	of	ADP
ejpam-1352	88	23	the	the	DET
ejpam-1352	88	24	codeword	codeword	NOUN
ejpam-1352	88	25	c	c	PROPN
ejpam-1352	88	26	is	be	AUX
ejpam-1352	88	27	defined	define	VERB
ejpam-1352	88	28	as	as	ADP
ejpam-1352	88	29	wm	wm	PROPN
ejpam-1352	88	30	(	(	PUNCT
ejpam-1352	88	31	c	c	NOUN
ejpam-1352	88	32	)	)	PUNCT
ejpam-1352	88	33	=	=	PUNCT
ejpam-1352	88	34	∑b	∑b	PROPN
ejpam-1352	88	35	j=0	j=0	PROPN
ejpam-1352	88	36	�	�	PROPN
ejpam-1352	88	37	j	j	PROPN
ejpam-1352	88	38	�	�	PROPN
ejpam-1352	88	39	t	t	PROPN
ejpam-1352	88	40	�	�	PROPN
ejpam-1352	88	41	.α	.α	PROPN
ejpam-1352	88	42	j	j	PROPN
ejpam-1352	88	43	(	(	PUNCT
ejpam-1352	88	44	c	c	NOUN
ejpam-1352	88	45	)	)	PUNCT
ejpam-1352	88	46	.	.	PUNCT
ejpam-1352	89	1	let	let	VERB
ejpam-1352	89	2	a(α0,α1,	a(α0,α1,	VERB
ejpam-1352	89	3	...	...	PUNCT
ejpam-1352	89	4	,αb	,αb	PUNCT
ejpam-1352	89	5	)	)	PUNCT
ejpam-1352	89	6	be	be	VERB
ejpam-1352	89	7	the	the	DET
ejpam-1352	89	8	number	number	NOUN
ejpam-1352	89	9	of	of	ADP
ejpam-1352	89	10	codewords	codeword	NOUN
ejpam-1352	89	11	with	with	ADP
ejpam-1352	89	12	the	the	DET
ejpam-1352	89	13	hamming	hamming	ADJ
ejpam-1352	89	14	weight	weight	NOUN
ejpam-1352	89	15	distribution	distribution	NOUN
ejpam-1352	89	16	vector	vector	NOUN
ejpam-1352	89	17	�	�	PROPN
ejpam-1352	89	18	α0,α1	α0,α1	PROPN
ejpam-1352	89	19	,	,	PUNCT
ejpam-1352	89	20	.	.	PUNCT
ejpam-1352	89	21	.	.	PUNCT
ejpam-1352	90	1	.	.	PUNCT
ejpam-1352	91	1	,	,	PUNCT
ejpam-1352	91	2	αb	αb	PROPN
ejpam-1352	91	3	�	�	PROPN
ejpam-1352	91	4	.	.	PUNCT
ejpam-1352	92	1	for	for	ADP
ejpam-1352	92	2	example	example	NOUN
ejpam-1352	92	3	,	,	PUNCT
ejpam-1352	92	4	let	let	VERB
ejpam-1352	92	5	(	(	PUNCT
ejpam-1352	92	6	1v1	1v1	NUM
ejpam-1352	92	7	000	000	NUM
ejpam-1352	92	8	0v1	0v1	NUM
ejpam-1352	92	9	00v	00v	NOUN
ejpam-1352	92	10	010	010	NUM
ejpam-1352	92	11	)	)	PUNCT
ejpam-1352	92	12	∈	∈	PROPN
ejpam-1352	92	13	r15	r15	NOUN
ejpam-1352	92	14	2	2	NUM
ejpam-1352	92	15	be	be	AUX
ejpam-1352	92	16	a	a	DET
ejpam-1352	92	17	codeword	codeword	NOUN
ejpam-1352	92	18	with	with	ADP
ejpam-1352	92	19	byte	byte	NOUN
ejpam-1352	92	20	length	length	NOUN
ejpam-1352	92	21	b	b	PROPN
ejpam-1352	93	1	=	=	SYM
ejpam-1352	93	2	3	3	X
ejpam-1352	93	3	.	.	PUNCT
ejpam-1352	94	1	then	then	ADV
ejpam-1352	94	2	,	,	PUNCT
ejpam-1352	94	3	the	the	DET
ejpam-1352	94	4	hamming	hamming	ADJ
ejpam-1352	94	5	weight	weight	NOUN
ejpam-1352	94	6	distribution	distribution	NOUN
ejpam-1352	94	7	vector	vector	NOUN
ejpam-1352	94	8	of	of	ADP
ejpam-1352	94	9	the	the	DET
ejpam-1352	94	10	codeword	codeword	NOUN
ejpam-1352	94	11	is	be	AUX
ejpam-1352	94	12	�	�	PROPN
ejpam-1352	94	13	α0,α1,α2,α3	α0,α1,α2,α3	PROPN
ejpam-1352	94	14	�	�	PROPN
ejpam-1352	94	15	=	=	SYM
ejpam-1352	94	16	(	(	PUNCT
ejpam-1352	94	17	1,2,1,1	1,2,1,1	NUM
ejpam-1352	94	18	)	)	PUNCT
ejpam-1352	94	19	.	.	PUNCT
ejpam-1352	95	1	therefore	therefore	ADV
ejpam-1352	95	2	,	,	PUNCT
ejpam-1352	95	3	a(1,2,1,1	a(1,2,1,1	ADJ
ejpam-1352	95	4	)	)	PUNCT
ejpam-1352	95	5	is	be	AUX
ejpam-1352	95	6	the	the	DET
ejpam-1352	95	7	number	number	NOUN
ejpam-1352	95	8	of	of	ADP
ejpam-1352	95	9	codewords	codeword	NOUN
ejpam-1352	95	10	with	with	ADP
ejpam-1352	95	11	the	the	DET
ejpam-1352	95	12	hamming	hamming	ADJ
ejpam-1352	95	13	weight	weight	NOUN
ejpam-1352	95	14	distribution	distribution	NOUN
ejpam-1352	95	15	vector	vector	NOUN
ejpam-1352	95	16	(	(	PUNCT
ejpam-1352	95	17	1,2,1,1	1,2,1,1	NUM
ejpam-1352	95	18	)	)	PUNCT
ejpam-1352	95	19	.	.	PUNCT
ejpam-1352	96	1	by	by	ADP
ejpam-1352	96	2	using	use	VERB
ejpam-1352	96	3	the	the	DET
ejpam-1352	96	4	parameter	parameter	NOUN
ejpam-1352	96	5	a(α0,α1,	a(α0,α1,	NOUN
ejpam-1352	96	6	...	...	PUNCT
ejpam-1352	96	7	,αb	,αb	PUNCT
ejpam-1352	96	8	)	)	PUNCT
ejpam-1352	96	9	,	,	PUNCT
ejpam-1352	96	10	the	the	DET
ejpam-1352	96	11	m	m	NOUN
ejpam-1352	96	12	-	-	ADJ
ejpam-1352	96	13	spotty	spotty	ADJ
ejpam-1352	96	14	hamming	hamming	NOUN
ejpam-1352	96	15	weight	weight	NOUN
ejpam-1352	96	16	enumerator	enumerator	NOUN
ejpam-1352	96	17	can	can	AUX
ejpam-1352	96	18	be	be	AUX
ejpam-1352	96	19	rewritten	rewrite	VERB
ejpam-1352	96	20	as	as	SCONJ
ejpam-1352	96	21	follows	follow	VERB
ejpam-1352	96	22	:	:	PUNCT
ejpam-1352	96	23	wc	wc	PROPN
ejpam-1352	96	24	(	(	PUNCT
ejpam-1352	96	25	z	z	NOUN
ejpam-1352	96	26	)	)	PUNCT
ejpam-1352	96	27	=	=	SYM
ejpam-1352	96	28	∑	∑	PUNCT
ejpam-1352	96	29	α0+α1+	α0+α1+	ADJ
ejpam-1352	96	30	...	...	X
ejpam-1352	96	31	+αb	+αb	PROPN
ejpam-1352	96	32	=	=	SYM
ejpam-1352	96	33	n	n	NOUN
ejpam-1352	96	34	a(α0,α1,	a(α0,α1,	NOUN
ejpam-1352	96	35	...	...	PUNCT
ejpam-1352	96	36	,αb	,αb	PUNCT
ejpam-1352	96	37	)	)	PUNCT
ejpam-1352	96	38	b∏	b∏	PROPN
ejpam-1352	96	39	j=0	j=0	PROPN
ejpam-1352	96	40	�	�	PROPN
ejpam-1352	96	41	z⌈	z⌈	PROPN
ejpam-1352	96	42	j	j	PROPN
ejpam-1352	96	43	/	/	SYM
ejpam-1352	96	44	t⌉	t⌉	X
ejpam-1352	96	45	�	�	PROPN
ejpam-1352	96	46	α	α	NUM
ejpam-1352	96	47	j	j	PROPN
ejpam-1352	96	48	,	,	PUNCT
ejpam-1352	96	49	(	(	PUNCT
ejpam-1352	96	50	1	1	X
ejpam-1352	96	51	)	)	PUNCT
ejpam-1352	96	52	where	where	SCONJ
ejpam-1352	96	53	∑	∑	ADP
ejpam-1352	96	54	α0+α1+	α0+α1+	ADJ
ejpam-1352	96	55	...	...	SYM
ejpam-1352	96	56	+αb	+αb	NUM
ejpam-1352	96	57	=	=	SYM
ejpam-1352	96	58	n	n	PRON
ejpam-1352	96	59	denotes	denote	VERB
ejpam-1352	96	60	the	the	DET
ejpam-1352	96	61	summation	summation	NOUN
ejpam-1352	96	62	over	over	ADP
ejpam-1352	96	63	all	all	DET
ejpam-1352	96	64	�	�	PROPN
ejpam-1352	96	65	α0,α1	α0,α1	PROPN
ejpam-1352	96	66	,	,	PUNCT
ejpam-1352	96	67	.	.	PUNCT
ejpam-1352	96	68	.	.	PUNCT
ejpam-1352	96	69	.	.	PUNCT
ejpam-1352	97	1	,	,	PUNCT
ejpam-1352	97	2	αb	αb	PROPN
ejpam-1352	97	3	�	�	PROPN
ejpam-1352	97	4	’s	’s	PART
ejpam-1352	97	5	satisfying	satisfy	VERB
ejpam-1352	97	6	the	the	DET
ejpam-1352	97	7	conditions	condition	NOUN
ejpam-1352	97	8	α0,α1	α0,α1	PROPN
ejpam-1352	97	9	,	,	PUNCT
ejpam-1352	97	10	.	.	PUNCT
ejpam-1352	97	11	.	.	PUNCT
ejpam-1352	97	12	.	.	PUNCT
ejpam-1352	98	1	,	,	PUNCT
ejpam-1352	98	2	αb	αb	NUM
ejpam-1352	98	3	¾	¾	NOUN
ejpam-1352	98	4	0	0	NUM
ejpam-1352	98	5	and	and	CCONJ
ejpam-1352	98	6	α0	α0	ADJ
ejpam-1352	98	7	+	+	ADJ
ejpam-1352	98	8	α1	α1	PROPN
ejpam-1352	98	9	+	+	X
ejpam-1352	98	10	.	.	PUNCT
ejpam-1352	98	11	.	.	PUNCT
ejpam-1352	99	1	.+αb	.+αb	PUNCT
ejpam-1352	100	1	=	=	PROPN
ejpam-1352	100	2	n.	n.	PROPN
ejpam-1352	100	3	v.	v.	PROPN
ejpam-1352	100	4	şiap	şiap	PROPN
ejpam-1352	100	5	,	,	PUNCT
ejpam-1352	100	6	m.	m.	NOUN
ejpam-1352	100	7	özen	özen	NOUN
ejpam-1352	100	8	/	/	SYM
ejpam-1352	100	9	eur	eur	NOUN
ejpam-1352	100	10	.	.	PUNCT
ejpam-1352	101	1	j.	j.	PROPN
ejpam-1352	101	2	pure	pure	PROPN
ejpam-1352	101	3	appl	appl	PROPN
ejpam-1352	101	4	.	.	PROPN
ejpam-1352	101	5	math	math	PROPN
ejpam-1352	101	6	,	,	PUNCT
ejpam-1352	101	7	5	5	NUM
ejpam-1352	101	8	(	(	PUNCT
ejpam-1352	101	9	2012	2012	NUM
ejpam-1352	101	10	)	)	PUNCT
ejpam-1352	101	11	,	,	PUNCT
ejpam-1352	101	12	373	373	NUM
ejpam-1352	101	13	-	-	SYM
ejpam-1352	101	14	379	379	NUM
ejpam-1352	101	15	376	376	NUM
ejpam-1352	101	16	3	3	NUM
ejpam-1352	101	17	.	.	PUNCT
ejpam-1352	102	1	the	the	DET
ejpam-1352	102	2	macwilliams	macwilliam	NOUN
ejpam-1352	102	3	identity	identity	VERB
ejpam-1352	102	4	one	one	NUM
ejpam-1352	102	5	of	of	ADP
ejpam-1352	102	6	the	the	DET
ejpam-1352	102	7	most	most	ADV
ejpam-1352	102	8	celebrated	celebrate	VERB
ejpam-1352	102	9	results	result	NOUN
ejpam-1352	102	10	in	in	ADP
ejpam-1352	102	11	coding	code	VERB
ejpam-1352	102	12	theory	theory	NOUN
ejpam-1352	102	13	is	be	AUX
ejpam-1352	102	14	the	the	DET
ejpam-1352	102	15	macwilliams	macwilliam	NOUN
ejpam-1352	102	16	identity	identity	NOUN
ejpam-1352	102	17	[	[	X
ejpam-1352	102	18	2	2	X
ejpam-1352	102	19	]	]	PUNCT
ejpam-1352	102	20	that	that	PRON
ejpam-1352	102	21	describes	describe	VERB
ejpam-1352	102	22	how	how	SCONJ
ejpam-1352	102	23	the	the	DET
ejpam-1352	102	24	weight	weight	NOUN
ejpam-1352	102	25	enumerator	enumerator	NOUN
ejpam-1352	102	26	of	of	ADP
ejpam-1352	102	27	a	a	DET
ejpam-1352	102	28	linear	linear	ADJ
ejpam-1352	102	29	code	code	NOUN
ejpam-1352	102	30	and	and	CCONJ
ejpam-1352	102	31	the	the	DET
ejpam-1352	102	32	weight	weight	NOUN
ejpam-1352	102	33	enumerator	enumerator	NOUN
ejpam-1352	102	34	of	of	ADP
ejpam-1352	102	35	the	the	DET
ejpam-1352	102	36	dual	dual	ADJ
ejpam-1352	102	37	code	code	NOUN
ejpam-1352	102	38	relate	relate	VERB
ejpam-1352	102	39	to	to	ADP
ejpam-1352	102	40	each	each	DET
ejpam-1352	102	41	other	other	ADJ
ejpam-1352	102	42	.	.	PUNCT
ejpam-1352	103	1	this	this	DET
ejpam-1352	103	2	identity	identity	NOUN
ejpam-1352	103	3	has	have	AUX
ejpam-1352	103	4	found	find	VERB
ejpam-1352	103	5	widespread	widespread	ADJ
ejpam-1352	103	6	application	application	NOUN
ejpam-1352	103	7	in	in	ADP
ejpam-1352	103	8	coding	code	VERB
ejpam-1352	103	9	theory	theory	NOUN
ejpam-1352	103	10	[	[	X
ejpam-1352	103	11	3	3	NUM
ejpam-1352	103	12	]	]	PUNCT
ejpam-1352	103	13	.	.	PUNCT
ejpam-1352	104	1	in	in	ADP
ejpam-1352	104	2	this	this	DET
ejpam-1352	104	3	section	section	NOUN
ejpam-1352	104	4	,	,	PUNCT
ejpam-1352	104	5	we	we	PRON
ejpam-1352	104	6	obtain	obtain	VERB
ejpam-1352	104	7	the	the	DET
ejpam-1352	104	8	macwilliams	macwilliam	NOUN
ejpam-1352	104	9	identity	identity	NOUN
ejpam-1352	104	10	for	for	ADP
ejpam-1352	104	11	the	the	DET
ejpam-1352	104	12	m	m	NOUN
ejpam-1352	104	13	-	-	ADJ
ejpam-1352	104	14	spotty	spotty	ADJ
ejpam-1352	104	15	hamming	hamming	NOUN
ejpam-1352	104	16	weight	weight	NOUN
ejpam-1352	104	17	enumerator	enumerator	NOUN
ejpam-1352	104	18	over	over	ADP
ejpam-1352	104	19	the	the	DET
ejpam-1352	104	20	ring	ring	NOUN
ejpam-1352	104	21	f2	f2	PROPN
ejpam-1352	104	22	+	+	CCONJ
ejpam-1352	104	23	vf2	vf2	NOUN
ejpam-1352	104	24	with	with	ADP
ejpam-1352	104	25	v2	v2	PROPN
ejpam-1352	104	26	=	=	PROPN
ejpam-1352	104	27	v.	v.	ADP
ejpam-1352	104	28	the	the	DET
ejpam-1352	104	29	ring	ring	NOUN
ejpam-1352	104	30	r2	r2	PROPN
ejpam-1352	104	31	is	be	AUX
ejpam-1352	104	32	a	a	DET
ejpam-1352	104	33	principal	principal	ADJ
ejpam-1352	104	34	ring	ring	NOUN
ejpam-1352	104	35	.	.	PUNCT
ejpam-1352	105	1	as	as	ADP
ejpam-1352	105	2	for	for	ADP
ejpam-1352	105	3	the	the	DET
ejpam-1352	105	4	ideal	ideal	ADJ
ejpam-1352	105	5	structure	structure	NOUN
ejpam-1352	105	6	we	we	PRON
ejpam-1352	105	7	can	can	AUX
ejpam-1352	105	8	easily	easily	ADV
ejpam-1352	105	9	find	find	VERB
ejpam-1352	105	10	all	all	DET
ejpam-1352	105	11	the	the	DET
ejpam-1352	105	12	ideals	ideal	NOUN
ejpam-1352	105	13	of	of	ADP
ejpam-1352	105	14	r2	r2	NOUN
ejpam-1352	105	15	which	which	PRON
ejpam-1352	105	16	are	be	AUX
ejpam-1352	105	17	〈	〈	PROPN
ejpam-1352	105	18	0〉=	0〉=	NOUN
ejpam-1352	105	19	{	{	PUNCT
ejpam-1352	105	20	0	0	NUM
ejpam-1352	105	21	}	}	PUNCT
ejpam-1352	105	22	,	,	PUNCT
ejpam-1352	105	23	〈	〈	NOUN
ejpam-1352	105	24	v〉=	v〉=	NOUN
ejpam-1352	105	25	{	{	PUNCT
ejpam-1352	105	26	0	0	NUM
ejpam-1352	105	27	,	,	PUNCT
ejpam-1352	105	28	v	v	NOUN
ejpam-1352	105	29	}	}	PUNCT
ejpam-1352	105	30	,	,	PUNCT
ejpam-1352	105	31	〈	〈	PROPN
ejpam-1352	105	32	1	1	NUM
ejpam-1352	105	33	+	+	NOUN
ejpam-1352	105	34	v〉=	v〉=	NOUN
ejpam-1352	105	35	{	{	PUNCT
ejpam-1352	105	36	0,1	0,1	NUM
ejpam-1352	105	37	+	+	NUM
ejpam-1352	105	38	v	v	NOUN
ejpam-1352	105	39	}	}	PUNCT
ejpam-1352	105	40	,	,	PUNCT
ejpam-1352	105	41	r2	r2	PROPN
ejpam-1352	105	42	.	.	PUNCT
ejpam-1352	106	1	as	as	SCONJ
ejpam-1352	106	2	we	we	PRON
ejpam-1352	106	3	see	see	VERB
ejpam-1352	106	4	from	from	ADP
ejpam-1352	106	5	the	the	DET
ejpam-1352	106	6	ideals	ideal	NOUN
ejpam-1352	106	7	,	,	PUNCT
ejpam-1352	106	8	the	the	DET
ejpam-1352	106	9	ring	ring	NOUN
ejpam-1352	106	10	f2	f2	PROPN
ejpam-1352	106	11	+	+	CCONJ
ejpam-1352	106	12	vf2	vf2	NOUN
ejpam-1352	106	13	is	be	AUX
ejpam-1352	106	14	not	not	PART
ejpam-1352	106	15	a	a	DET
ejpam-1352	106	16	finite	finite	ADJ
ejpam-1352	106	17	chain	chain	NOUN
ejpam-1352	106	18	ring	ring	NOUN
ejpam-1352	106	19	.	.	PUNCT
ejpam-1352	107	1	also	also	ADV
ejpam-1352	107	2	,	,	PUNCT
ejpam-1352	107	3	these	these	DET
ejpam-1352	107	4	ideals	ideal	NOUN
ejpam-1352	107	5	are	be	AUX
ejpam-1352	107	6	the	the	DET
ejpam-1352	107	7	additive	additive	ADJ
ejpam-1352	107	8	subgroups	subgroup	NOUN
ejpam-1352	107	9	of	of	ADP
ejpam-1352	107	10	r2	r2	PROPN
ejpam-1352	107	11	.	.	PUNCT
ejpam-1352	108	1	in	in	ADP
ejpam-1352	108	2	this	this	DET
ejpam-1352	108	3	paper	paper	NOUN
ejpam-1352	108	4	,	,	PUNCT
ejpam-1352	108	5	we	we	PRON
ejpam-1352	108	6	define	define	VERB
ejpam-1352	108	7	the	the	DET
ejpam-1352	108	8	character	character	NOUN
ejpam-1352	108	9	χ	χ	NOUN
ejpam-1352	108	10	for	for	ADP
ejpam-1352	108	11	this	this	DET
ejpam-1352	108	12	ring	ring	NOUN
ejpam-1352	108	13	as	as	SCONJ
ejpam-1352	108	14	follows	follow	VERB
ejpam-1352	108	15	:	:	PUNCT
ejpam-1352	108	16	definition	definition	NOUN
ejpam-1352	108	17	6	6	NUM
ejpam-1352	108	18	.	.	PUNCT
ejpam-1352	109	1	for	for	ADP
ejpam-1352	109	2	a+	a+	PRON
ejpam-1352	109	3	v	v	PROPN
ejpam-1352	109	4	b	b	PROPN
ejpam-1352	109	5	∈	∈	PROPN
ejpam-1352	109	6	r2	r2	NOUN
ejpam-1352	109	7	,	,	PUNCT
ejpam-1352	109	8	we	we	PRON
ejpam-1352	109	9	refer	refer	VERB
ejpam-1352	109	10	to	to	ADP
ejpam-1352	109	11	the	the	DET
ejpam-1352	109	12	character	character	NOUN
ejpam-1352	109	13	χ	χ	NOUN
ejpam-1352	109	14	defined	define	VERB
ejpam-1352	109	15	by	by	ADP
ejpam-1352	109	16	χ	χ	X
ejpam-1352	109	17	(	(	PUNCT
ejpam-1352	109	18	a+	a+	PROPN
ejpam-1352	109	19	v	v	NUM
ejpam-1352	109	20	b	b	NOUN
ejpam-1352	109	21	)	)	PUNCT
ejpam-1352	109	22	=	=	PUNCT
ejpam-1352	110	1	(	(	PUNCT
ejpam-1352	110	2	−1)b	−1)b	X
ejpam-1352	110	3	(	(	PUNCT
ejpam-1352	110	4	2	2	X
ejpam-1352	110	5	)	)	PUNCT
ejpam-1352	110	6	note	note	NOUN
ejpam-1352	110	7	that	that	SCONJ
ejpam-1352	110	8	χ	χ	NOUN
ejpam-1352	110	9	is	be	AUX
ejpam-1352	110	10	a	a	DET
ejpam-1352	110	11	nontrivial	nontrivial	ADJ
ejpam-1352	110	12	character	character	NOUN
ejpam-1352	110	13	.	.	PUNCT
ejpam-1352	111	1	it	it	PRON
ejpam-1352	111	2	can	can	AUX
ejpam-1352	111	3	be	be	AUX
ejpam-1352	111	4	easily	easily	ADV
ejpam-1352	111	5	seen	see	VERB
ejpam-1352	111	6	that	that	SCONJ
ejpam-1352	111	7	the	the	DET
ejpam-1352	111	8	character	character	NOUN
ejpam-1352	111	9	χ	χ	NOUN
ejpam-1352	111	10	is	be	AUX
ejpam-1352	111	11	a	a	DET
ejpam-1352	111	12	group	group	NOUN
ejpam-1352	111	13	homomorphism	homomorphism	NOUN
ejpam-1352	111	14	.	.	PUNCT
ejpam-1352	112	1	we	we	PRON
ejpam-1352	112	2	get	get	VERB
ejpam-1352	112	3	the	the	DET
ejpam-1352	112	4	following	follow	VERB
ejpam-1352	112	5	result	result	NOUN
ejpam-1352	112	6	by	by	ADP
ejpam-1352	112	7	using	use	VERB
ejpam-1352	112	8	the	the	DET
ejpam-1352	112	9	definition	definition	NOUN
ejpam-1352	112	10	of	of	ADP
ejpam-1352	112	11	the	the	DET
ejpam-1352	112	12	character	character	NOUN
ejpam-1352	112	13	χ	χ	X
ejpam-1352	112	14	in	in	ADP
ejpam-1352	112	15	(	(	PUNCT
ejpam-1352	112	16	2	2	NUM
ejpam-1352	112	17	)	)	PUNCT
ejpam-1352	112	18	.	.	PUNCT
ejpam-1352	113	1	lemma	lemma	PROPN
ejpam-1352	113	2	1	1	NUM
ejpam-1352	113	3	.	.	PUNCT
ejpam-1352	114	1	[	[	X
ejpam-1352	114	2	3	3	X
ejpam-1352	114	3	]	]	X
ejpam-1352	114	4	let	let	VERB
ejpam-1352	114	5	i	i	PRON
ejpam-1352	114	6	6=	6=	PRON
ejpam-1352	114	7	{	{	PUNCT
ejpam-1352	114	8	0	0	NUM
ejpam-1352	114	9	}	}	PUNCT
ejpam-1352	114	10	be	be	AUX
ejpam-1352	114	11	an	an	DET
ejpam-1352	114	12	ideal	ideal	NOUN
ejpam-1352	114	13	of	of	ADP
ejpam-1352	114	14	r2	r2	PROPN
ejpam-1352	114	15	.	.	PUNCT
ejpam-1352	115	1	then	then	ADV
ejpam-1352	115	2	,	,	PUNCT
ejpam-1352	115	3	∑	∑	ADP
ejpam-1352	115	4	a∈i	a∈i	ADP
ejpam-1352	115	5	χ	χ	X
ejpam-1352	115	6	(	(	PUNCT
ejpam-1352	115	7	a	a	NOUN
ejpam-1352	115	8	)	)	PUNCT
ejpam-1352	115	9	=	=	SYM
ejpam-1352	115	10	0	0	X
ejpam-1352	115	11	.	.	PUNCT
ejpam-1352	116	1	the	the	DET
ejpam-1352	116	2	following	follow	VERB
ejpam-1352	116	3	lemma	lemma	PROPN
ejpam-1352	116	4	plays	play	VERB
ejpam-1352	116	5	an	an	DET
ejpam-1352	116	6	important	important	ADJ
ejpam-1352	116	7	role	role	NOUN
ejpam-1352	116	8	in	in	ADP
ejpam-1352	116	9	proving	prove	VERB
ejpam-1352	116	10	theorem	theorem	ADJ
ejpam-1352	116	11	2	2	NUM
ejpam-1352	116	12	:	:	PUNCT
ejpam-1352	116	13	lemma	lemma	PROPN
ejpam-1352	116	14	2	2	X
ejpam-1352	116	15	.	.	PUNCT
ejpam-1352	117	1	[	[	X
ejpam-1352	117	2	3	3	X
ejpam-1352	117	3	]	]	PUNCT
ejpam-1352	117	4	let	let	VERB
ejpam-1352	117	5	f	f	PRON
ejpam-1352	117	6	be	be	AUX
ejpam-1352	117	7	a	a	DET
ejpam-1352	117	8	function	function	NOUN
ejpam-1352	117	9	defined	define	VERB
ejpam-1352	117	10	on	on	ADP
ejpam-1352	117	11	rnb	rnb	NOUN
ejpam-1352	117	12	2	2	NUM
ejpam-1352	117	13	.	.	PUNCT
ejpam-1352	118	1	we	we	PRON
ejpam-1352	118	2	define	define	VERB
ejpam-1352	118	3	ef	ef	PROPN
ejpam-1352	118	4	(	(	PUNCT
ejpam-1352	118	5	c	c	NOUN
ejpam-1352	118	6	)	)	PUNCT
ejpam-1352	118	7	=	=	PUNCT
ejpam-1352	118	8	∑	∑	PUNCT
ejpam-1352	118	9	v∈rnb	v∈rnb	NOUN
ejpam-1352	118	10	2	2	NUM
ejpam-1352	118	11	χ	χ	NOUN
ejpam-1352	118	12	(	(	PUNCT
ejpam-1352	118	13	〈	〈	PROPN
ejpam-1352	118	14	c	c	PROPN
ejpam-1352	118	15	,	,	PUNCT
ejpam-1352	118	16	v	v	NOUN
ejpam-1352	118	17	〉	〉	NOUN
ejpam-1352	118	18	)	)	PUNCT
ejpam-1352	118	19	f	f	PROPN
ejpam-1352	118	20	(	(	PUNCT
ejpam-1352	118	21	v	v	NOUN
ejpam-1352	118	22	)	)	PUNCT
ejpam-1352	118	23	,	,	PUNCT
ejpam-1352	118	24	c	c	PROPN
ejpam-1352	118	25	∈	∈	PROPN
ejpam-1352	118	26	rnb	rnb	NOUN
ejpam-1352	118	27	2	2	NUM
ejpam-1352	118	28	.	.	PUNCT
ejpam-1352	119	1	then	then	ADV
ejpam-1352	119	2	,	,	PUNCT
ejpam-1352	119	3	the	the	DET
ejpam-1352	119	4	following	follow	VERB
ejpam-1352	119	5	relation	relation	NOUN
ejpam-1352	119	6	holds	hold	VERB
ejpam-1352	119	7	between	between	ADP
ejpam-1352	119	8	f	f	PROPN
ejpam-1352	119	9	(	(	PUNCT
ejpam-1352	119	10	v	v	NOUN
ejpam-1352	119	11	)	)	PUNCT
ejpam-1352	119	12	and	and	CCONJ
ejpam-1352	119	13	ef	ef	X
ejpam-1352	119	14	(	(	PUNCT
ejpam-1352	119	15	c	c	PROPN
ejpam-1352	119	16	):	):	PUNCT
ejpam-1352	119	17	∑	∑	PUNCT
ejpam-1352	119	18	v∈c⊥	v∈c⊥	NOUN
ejpam-1352	119	19	f	f	PROPN
ejpam-1352	119	20	(	(	PUNCT
ejpam-1352	119	21	v	v	NOUN
ejpam-1352	119	22	)	)	PUNCT
ejpam-1352	119	23	=	=	SYM
ejpam-1352	119	24	1	1	NUM
ejpam-1352	119	25	|c	|c	VERB
ejpam-1352	119	26	|	|	ADV
ejpam-1352	119	27	∑	∑	ADV
ejpam-1352	119	28	c∈c	c∈c	NOUN
ejpam-1352	119	29	ef	ef	PROPN
ejpam-1352	119	30	(	(	PUNCT
ejpam-1352	119	31	c	c	NOUN
ejpam-1352	119	32	)	)	PUNCT
ejpam-1352	119	33	,	,	PUNCT
ejpam-1352	119	34	where	where	SCONJ
ejpam-1352	119	35	|c	|c	VERB
ejpam-1352	119	36	|	|	NOUN
ejpam-1352	119	37	denotes	denote	VERB
ejpam-1352	119	38	the	the	DET
ejpam-1352	119	39	size	size	NOUN
ejpam-1352	119	40	of	of	ADP
ejpam-1352	119	41	the	the	DET
ejpam-1352	119	42	set	set	ADJ
ejpam-1352	119	43	c.	c.	NOUN
ejpam-1352	119	44	the	the	DET
ejpam-1352	119	45	following	follow	VERB
ejpam-1352	119	46	theorem	theorem	NOUN
ejpam-1352	119	47	holds	hold	VERB
ejpam-1352	119	48	for	for	ADP
ejpam-1352	119	49	the	the	DET
ejpam-1352	119	50	m	m	ADJ
ejpam-1352	119	51	-	-	ADJ
ejpam-1352	119	52	spotty	spotty	ADJ
ejpam-1352	119	53	weight	weight	NOUN
ejpam-1352	119	54	enumerator	enumerator	NOUN
ejpam-1352	119	55	wc	wc	PROPN
ejpam-1352	119	56	(	(	PUNCT
ejpam-1352	119	57	z	z	NOUN
ejpam-1352	119	58	)	)	PUNCT
ejpam-1352	119	59	of	of	ADP
ejpam-1352	119	60	the	the	DET
ejpam-1352	119	61	byte	byte	NOUN
ejpam-1352	119	62	error	error	NOUN
ejpam-1352	119	63	control	control	NOUN
ejpam-1352	119	64	code	code	NOUN
ejpam-1352	119	65	c	c	PROPN
ejpam-1352	119	66	and	and	CCONJ
ejpam-1352	119	67	that	that	PRON
ejpam-1352	119	68	of	of	ADP
ejpam-1352	119	69	the	the	DET
ejpam-1352	119	70	dual	dual	ADJ
ejpam-1352	119	71	code	code	PROPN
ejpam-1352	119	72	c⊥	c⊥	PROPN
ejpam-1352	119	73	,	,	PUNCT
ejpam-1352	119	74	denoted	denote	VERB
ejpam-1352	119	75	by	by	ADP
ejpam-1352	119	76	wc⊥	wc⊥	PROPN
ejpam-1352	119	77	(	(	PUNCT
ejpam-1352	119	78	z	z	NOUN
ejpam-1352	119	79	)	)	PUNCT
ejpam-1352	119	80	.	.	PUNCT
ejpam-1352	120	1	theorem	theorem	NOUN
ejpam-1352	120	2	2	2	NUM
ejpam-1352	120	3	.	.	PUNCT
ejpam-1352	121	1	let	let	VERB
ejpam-1352	121	2	the	the	DET
ejpam-1352	121	3	code	code	NOUN
ejpam-1352	121	4	length	length	NOUN
ejpam-1352	121	5	in	in	ADP
ejpam-1352	121	6	bits	bit	NOUN
ejpam-1352	122	1	n	n	CCONJ
ejpam-1352	122	2	be	be	VERB
ejpam-1352	122	3	a	a	DET
ejpam-1352	122	4	multiple	multiple	NOUN
ejpam-1352	122	5	of	of	ADP
ejpam-1352	122	6	byte	byte	NOUN
ejpam-1352	122	7	length	length	NOUN
ejpam-1352	122	8	b	b	NOUN
ejpam-1352	122	9	,	,	PUNCT
ejpam-1352	122	10	i.e.	i.e.	X
ejpam-1352	122	11	,	,	PUNCT
ejpam-1352	122	12	n	n	PROPN
ejpam-1352	122	13	=	=	SYM
ejpam-1352	122	14	nb	nb	PROPN
ejpam-1352	122	15	.	.	PUNCT
ejpam-1352	123	1	then	then	ADV
ejpam-1352	123	2	,	,	PUNCT
ejpam-1352	123	3	the	the	DET
ejpam-1352	123	4	following	follow	VERB
ejpam-1352	123	5	relation	relation	NOUN
ejpam-1352	123	6	holds	hold	VERB
ejpam-1352	123	7	:	:	PUNCT
ejpam-1352	123	8	wc⊥	wc⊥	PROPN
ejpam-1352	123	9	(	(	PUNCT
ejpam-1352	123	10	z	z	NOUN
ejpam-1352	123	11	)	)	PUNCT
ejpam-1352	123	12	=	=	SYM
ejpam-1352	123	13	1	1	NUM
ejpam-1352	123	14	|c	|c	VERB
ejpam-1352	123	15	|	|	ADV
ejpam-1352	123	16	∑	∑	ADV
ejpam-1352	123	17	α0+α1+	α0+α1+	ADJ
ejpam-1352	123	18	...	...	X
ejpam-1352	123	19	+αb	+αb	PROPN
ejpam-1352	123	20	=	=	SYM
ejpam-1352	123	21	n	n	NOUN
ejpam-1352	123	22	a(α0,α1,	a(α0,α1,	NOUN
ejpam-1352	123	23	...	...	PUNCT
ejpam-1352	123	24	,αb	,αb	PUNCT
ejpam-1352	123	25	)	)	PUNCT
ejpam-1352	123	26	b∏	b∏	PROPN
ejpam-1352	123	27	j=0	j=0	PROPN
ejpam-1352	123	28	�	�	PROPN
ejpam-1352	123	29	�	�	PROPN
ejpam-1352	123	30	v	v	PROPN
ejpam-1352	123	31	(	(	PUNCT
ejpam-1352	123	32	t	t	PROPN
ejpam-1352	123	33	)	)	PUNCT
ejpam-1352	123	34	j	j	PROPN
ejpam-1352	123	35	(	(	PUNCT
ejpam-1352	123	36	z	z	NOUN
ejpam-1352	123	37	)	)	PUNCT
ejpam-1352	123	38	�	�	PROPN
ejpam-1352	123	39	�	�	PROPN
ejpam-1352	123	40	α	α	PROPN
ejpam-1352	123	41	j	j	PROPN
ejpam-1352	123	42	,	,	PUNCT
ejpam-1352	123	43	v.	v.	PROPN
ejpam-1352	123	44	şiap	şiap	PROPN
ejpam-1352	123	45	,	,	PUNCT
ejpam-1352	123	46	m.	m.	NOUN
ejpam-1352	123	47	özen	özen	NOUN
ejpam-1352	123	48	/	/	SYM
ejpam-1352	123	49	eur	eur	NOUN
ejpam-1352	123	50	.	.	PUNCT
ejpam-1352	124	1	j.	j.	PROPN
ejpam-1352	124	2	pure	pure	PROPN
ejpam-1352	124	3	appl	appl	PROPN
ejpam-1352	124	4	.	.	PROPN
ejpam-1352	124	5	math	math	PROPN
ejpam-1352	124	6	,	,	PUNCT
ejpam-1352	124	7	5	5	NUM
ejpam-1352	124	8	(	(	PUNCT
ejpam-1352	124	9	2012	2012	NUM
ejpam-1352	124	10	)	)	PUNCT
ejpam-1352	124	11	,	,	PUNCT
ejpam-1352	124	12	373	373	NUM
ejpam-1352	124	13	-	-	SYM
ejpam-1352	124	14	379	379	NUM
ejpam-1352	124	15	377	377	NUM
ejpam-1352	124	16	where	where	SCONJ
ejpam-1352	124	17	v	v	NOUN
ejpam-1352	124	18	(	(	PUNCT
ejpam-1352	124	19	t	t	PROPN
ejpam-1352	124	20	)	)	PUNCT
ejpam-1352	124	21	j	j	PROPN
ejpam-1352	124	22	(	(	PUNCT
ejpam-1352	124	23	z	z	NOUN
ejpam-1352	124	24	)	)	PUNCT
ejpam-1352	124	25	=	=	SYM
ejpam-1352	124	26	b∑	b∑	X
ejpam-1352	125	1	p=0	p=0	PROPN
ejpam-1352	125	2	p∑	p∑	X
ejpam-1352	126	1	s=0	s=0	PROPN
ejpam-1352	126	2	(	(	PUNCT
ejpam-1352	126	3	−1)p−s3s	−1)p−s3s	PROPN
ejpam-1352	126	4	�	�	PROPN
ejpam-1352	126	5	j	j	PROPN
ejpam-1352	127	1	p−	p−	PROPN
ejpam-1352	127	2	s	s	NOUN
ejpam-1352	127	3	�	�	NOUN
ejpam-1352	127	4	�	�	PROPN
ejpam-1352	127	5	b−	b−	PROPN
ejpam-1352	127	6	j	j	PROPN
ejpam-1352	127	7	s	s	PROPN
ejpam-1352	127	8	�	�	PROPN
ejpam-1352	127	9	!	!	PUNCT
ejpam-1352	128	1	z⌈p	z⌈p	NUM
ejpam-1352	128	2	/	/	SYM
ejpam-1352	128	3	t⌉.	t⌉.	NOUN
ejpam-1352	128	4	proof	proof	NOUN
ejpam-1352	128	5	.	.	PUNCT
ejpam-1352	129	1	in	in	ADP
ejpam-1352	129	2	lemma	lemma	PROPN
ejpam-1352	129	3	2	2	NUM
ejpam-1352	129	4	,	,	PUNCT
ejpam-1352	129	5	we	we	PRON
ejpam-1352	129	6	set	set	VERB
ejpam-1352	129	7	f	f	PROPN
ejpam-1352	129	8	(	(	PUNCT
ejpam-1352	129	9	v	v	NOUN
ejpam-1352	129	10	)	)	PUNCT
ejpam-1352	129	11	=	=	PUNCT
ejpam-1352	129	12	∏n	∏n	PROPN
ejpam-1352	129	13	i=1	i=1	PROPN
ejpam-1352	129	14	z⌈w(vi)/t⌉	z⌈w(vi)/t⌉	PROPN
ejpam-1352	129	15	,	,	PUNCT
ejpam-1352	129	16	where	where	SCONJ
ejpam-1352	129	17	vi	vi	PROPN
ejpam-1352	129	18	denotes	denote	VERB
ejpam-1352	129	19	the	the	DET
ejpam-1352	129	20	i	i	PROPN
ejpam-1352	129	21	th	th	X
ejpam-1352	129	22	byte	byte	NOUN
ejpam-1352	129	23	of	of	ADP
ejpam-1352	129	24	v.	v.	INTJ
ejpam-1352	129	25	let	let	VERB
ejpam-1352	129	26	χ	χ	PRON
ejpam-1352	129	27	be	be	AUX
ejpam-1352	129	28	the	the	DET
ejpam-1352	129	29	character	character	NOUN
ejpam-1352	129	30	defined	define	VERB
ejpam-1352	129	31	in	in	ADP
ejpam-1352	129	32	(	(	PUNCT
ejpam-1352	129	33	2	2	NUM
ejpam-1352	129	34	)	)	PUNCT
ejpam-1352	129	35	.	.	PUNCT
ejpam-1352	130	1	then	then	ADV
ejpam-1352	130	2	,	,	PUNCT
ejpam-1352	130	3	ef	ef	PROPN
ejpam-1352	130	4	(	(	PUNCT
ejpam-1352	130	5	c	c	NOUN
ejpam-1352	130	6	)	)	PUNCT
ejpam-1352	130	7	=	=	PUNCT
ejpam-1352	130	8	∑	∑	PUNCT
ejpam-1352	130	9	v∈rnb	v∈rnb	NOUN
ejpam-1352	130	10	2	2	NUM
ejpam-1352	130	11	χ	χ	NOUN
ejpam-1352	130	12	(	(	PUNCT
ejpam-1352	130	13	〈	〈	PROPN
ejpam-1352	130	14	c	c	PROPN
ejpam-1352	130	15	,	,	PUNCT
ejpam-1352	130	16	v	v	NOUN
ejpam-1352	130	17	〉	〉	NOUN
ejpam-1352	130	18	)	)	PUNCT
ejpam-1352	130	19	n∏	n∏	PROPN
ejpam-1352	130	20	i=1	i=1	PROPN
ejpam-1352	130	21	z⌈w(vi)/t⌉	z⌈w(vi)/t⌉	NOUN
ejpam-1352	131	1	=	=	PUNCT
ejpam-1352	131	2	∑	∑	PUNCT
ejpam-1352	131	3	v∈rnb	v∈rnb	PROPN
ejpam-1352	131	4	2	2	NUM
ejpam-1352	131	5	χ	χ	DET
ejpam-1352	131	6	�	�	PROPN
ejpam-1352	131	7	c1	c1	PROPN
ejpam-1352	131	8	,	,	PUNCT
ejpam-1352	131	9	v1	v1	PROPN
ejpam-1352	131	10	�	�	PROPN
ejpam-1352	131	11	+	+	CCONJ
ejpam-1352	131	12	c2	c2	PROPN
ejpam-1352	131	13	,	,	PUNCT
ejpam-1352	131	14	v2	v2	PROPN
ejpam-1352	131	15	�	�	PROPN
ejpam-1352	131	16	+	+	CCONJ
ejpam-1352	131	17	..	..	PUNCT
ejpam-1352	132	1	cn	cn	INTJ
ejpam-1352	132	2	,	,	PUNCT
ejpam-1352	132	3	vn	vn	PROPN
ejpam-1352	132	4	�	�	PROPN
ejpam-1352	132	5	�	�	PROPN
ejpam-1352	132	6	n∏	n∏	PROPN
ejpam-1352	132	7	i=1	i=1	PROPN
ejpam-1352	132	8	z⌈w(vi)/t⌉	z⌈w(vi)/t⌉	NOUN
ejpam-1352	133	1	=	=	PUNCT
ejpam-1352	133	2	∑	∑	PUNCT
ejpam-1352	133	3	v1∈rb	v1∈rb	PROPN
ejpam-1352	133	4	2	2	NUM
ejpam-1352	133	5	∑	∑	PROPN
ejpam-1352	133	6	v2∈rb	v2∈rb	PROPN
ejpam-1352	133	7	2	2	NUM
ejpam-1352	133	8	...	...	PUNCT
ejpam-1352	133	9	∑	∑	PUNCT
ejpam-1352	133	10	vn∈rb	vn∈rb	PROPN
ejpam-1352	133	11	2	2	NUM
ejpam-1352	133	12	n∏	n∏	PROPN
ejpam-1352	133	13	i=1	i=1	PART
ejpam-1352	133	14	χ	χ	PROPN
ejpam-1352	133	15	�	�	PROPN
ejpam-1352	133	16	ci	ci	PROPN
ejpam-1352	133	17	,	,	PUNCT
ejpam-1352	133	18	vi	vi	PROPN
ejpam-1352	133	19	�	�	PROPN
ejpam-1352	133	20	�	�	PROPN
ejpam-1352	133	21	z⌈w(vi)/t⌉	z⌈w(vi)/t⌉	NOUN
ejpam-1352	133	22	!	!	PUNCT
ejpam-1352	134	1	=	=	PUNCT
ejpam-1352	134	2	n∏	n∏	PROPN
ejpam-1352	134	3	i=1	i=1	PROPN
ejpam-1352	134	4			NOUN
ejpam-1352	134	5			ADJ
ejpam-1352	134	6	∑	∑	SYM
ejpam-1352	134	7	vi∈rb	vi∈rb	PROPN
ejpam-1352	134	8	2	2	NUM
ejpam-1352	134	9	χ	χ	DET
ejpam-1352	134	10	�	�	PROPN
ejpam-1352	134	11	ci	ci	PROPN
ejpam-1352	134	12	,	,	PUNCT
ejpam-1352	134	13	vi	vi	PROPN
ejpam-1352	134	14	�	�	PROPN
ejpam-1352	134	15	�	�	PROPN
ejpam-1352	134	16	z⌈w(vi)/t⌉	z⌈w(vi)/t⌉	PROPN
ejpam-1352	134	17			PUNCT
ejpam-1352	135	1	.	.	PRON
ejpam-1352	136	1	let	let	VERB
ejpam-1352	136	2	ci	ci	NOUN
ejpam-1352	136	3	be	be	AUX
ejpam-1352	136	4	a	a	DET
ejpam-1352	136	5	fixed	fix	VERB
ejpam-1352	136	6	vector	vector	NOUN
ejpam-1352	136	7	.	.	PUNCT
ejpam-1352	137	1	then	then	ADV
ejpam-1352	137	2	,	,	PUNCT
ejpam-1352	137	3	∑	∑	PROPN
ejpam-1352	137	4	vi∈rb	vi∈rb	X
ejpam-1352	137	5	2	2	NUM
ejpam-1352	137	6	χ	χ	DET
ejpam-1352	137	7	�	�	PROPN
ejpam-1352	137	8	ci	ci	PROPN
ejpam-1352	137	9	,	,	PUNCT
ejpam-1352	137	10	vi	vi	PROPN
ejpam-1352	137	11	�	�	PROPN
ejpam-1352	137	12	�	�	PROPN
ejpam-1352	137	13	z⌈w(vi)/t⌉	z⌈w(vi)/t⌉	NOUN
ejpam-1352	137	14	depends	depend	VERB
ejpam-1352	137	15	on	on	ADP
ejpam-1352	137	16	w(ci	w(ci	NOUN
ejpam-1352	137	17	)	)	PUNCT
ejpam-1352	137	18	.	.	PUNCT
ejpam-1352	138	1	assume	assume	VERB
ejpam-1352	138	2	that	that	SCONJ
ejpam-1352	138	3	the	the	DET
ejpam-1352	138	4	hamming	hamming	NOUN
ejpam-1352	138	5	weight	weight	NOUN
ejpam-1352	138	6	of	of	ADP
ejpam-1352	138	7	the	the	DET
ejpam-1352	138	8	fixed	fix	VERB
ejpam-1352	138	9	vector	vector	NOUN
ejpam-1352	138	10	ci	ci	NOUN
ejpam-1352	138	11	is	be	AUX
ejpam-1352	138	12	w(ci	w(ci	X
ejpam-1352	138	13	)	)	PUNCT
ejpam-1352	138	14	=	=	SYM
ejpam-1352	139	1	j.	j.	PROPN
ejpam-1352	139	2	for	for	ADP
ejpam-1352	139	3	all	all	DET
ejpam-1352	139	4	vectors	vector	NOUN
ejpam-1352	139	5	vi	vi	VERB
ejpam-1352	139	6	having	have	VERB
ejpam-1352	139	7	hamming	ham	VERB
ejpam-1352	139	8	weight	weight	NOUN
ejpam-1352	139	9	p	p	NOUN
ejpam-1352	139	10	,	,	PUNCT
ejpam-1352	139	11	we	we	PRON
ejpam-1352	139	12	obtain	obtain	VERB
ejpam-1352	139	13	the	the	DET
ejpam-1352	139	14	equality	equality	NOUN
ejpam-1352	139	15	as	as	SCONJ
ejpam-1352	139	16	follows	follow	VERB
ejpam-1352	139	17	:	:	PUNCT
ejpam-1352	139	18	∑	∑	PUNCT
ejpam-1352	139	19	w(vi)=p	w(vi)=p	VERB
ejpam-1352	139	20	χ	χ	DET
ejpam-1352	139	21	�	�	PROPN
ejpam-1352	139	22	ci	ci	PROPN
ejpam-1352	139	23	,	,	PUNCT
ejpam-1352	139	24	vi	vi	PROPN
ejpam-1352	139	25	�	�	PROPN
ejpam-1352	139	26	�	�	PROPN
ejpam-1352	139	27	z⌈w(vi)/t⌉	z⌈w(vi)/t⌉	NOUN
ejpam-1352	139	28	=	=	PUNCT
ejpam-1352	139	29	p∑	p∑	X
ejpam-1352	139	30	s=0	s=0	X
ejpam-1352	139	31	(	(	PUNCT
ejpam-1352	139	32	−1)p−s3s	−1)p−s3s	PROPN
ejpam-1352	139	33	�	�	PROPN
ejpam-1352	139	34	j	j	PROPN
ejpam-1352	140	1	p−	p−	PROPN
ejpam-1352	140	2	s	s	NOUN
ejpam-1352	140	3	�	�	NOUN
ejpam-1352	140	4	�	�	PROPN
ejpam-1352	140	5	b−	b−	PROPN
ejpam-1352	140	6	j	j	PROPN
ejpam-1352	140	7	s	s	PROPN
ejpam-1352	140	8	�	�	PROPN
ejpam-1352	140	9	z⌈p	z⌈p	X
ejpam-1352	140	10	/	/	SYM
ejpam-1352	140	11	t⌉.	t⌉.	NOUN
ejpam-1352	140	12	since	since	SCONJ
ejpam-1352	140	13	w(vi	w(vi	NUM
ejpam-1352	140	14	)	)	PUNCT
ejpam-1352	140	15	=	=	SYM
ejpam-1352	140	16	p	p	NOUN
ejpam-1352	140	17	,	,	PUNCT
ejpam-1352	140	18	the	the	DET
ejpam-1352	140	19	number	number	NOUN
ejpam-1352	140	20	of	of	ADP
ejpam-1352	140	21	non	non	ADJ
ejpam-1352	140	22	-	-	ADJ
ejpam-1352	140	23	zero	zero	NUM
ejpam-1352	140	24	components	component	NOUN
ejpam-1352	140	25	of	of	ADP
ejpam-1352	140	26	vi	vi	PROPN
ejpam-1352	140	27	is	be	AUX
ejpam-1352	140	28	p.	p.	NOUN
ejpam-1352	140	29	the	the	DET
ejpam-1352	140	30	inner	inner	ADJ
ejpam-1352	140	31	product	product	NOUN
ejpam-1352	140	32	of	of	ADP
ejpam-1352	140	33	ci	ci	PROPN
ejpam-1352	140	34	and	and	CCONJ
ejpam-1352	140	35	vi	vi	PROPN
ejpam-1352	140	36	shows	show	VERB
ejpam-1352	140	37	the	the	DET
ejpam-1352	140	38	number	number	NOUN
ejpam-1352	140	39	of	of	ADP
ejpam-1352	140	40	positions	position	NOUN
ejpam-1352	140	41	in	in	ADP
ejpam-1352	140	42	which	which	PRON
ejpam-1352	140	43	the	the	DET
ejpam-1352	140	44	components	component	NOUN
ejpam-1352	140	45	of	of	ADP
ejpam-1352	140	46	neither	neither	CCONJ
ejpam-1352	140	47	ci	ci	NOUN
ejpam-1352	140	48	nor	nor	CCONJ
ejpam-1352	140	49	vi	vi	NOUN
ejpam-1352	140	50	are	be	AUX
ejpam-1352	140	51	zero	zero	NUM
ejpam-1352	140	52	.	.	PUNCT
ejpam-1352	141	1	the	the	DET
ejpam-1352	141	2	number	number	NOUN
ejpam-1352	141	3	of	of	ADP
ejpam-1352	141	4	p−	p−	NOUN
ejpam-1352	141	5	s	s	NOUN
ejpam-1352	141	6	positions	position	NOUN
ejpam-1352	141	7	chosen	choose	VERB
ejpam-1352	141	8	from	from	ADP
ejpam-1352	141	9	j	j	PROPN
ejpam-1352	141	10	positions	position	NOUN
ejpam-1352	141	11	is	be	AUX
ejpam-1352	141	12	�	�	PROPN
ejpam-1352	141	13	j	j	PROPN
ejpam-1352	141	14	p−	p−	PROPN
ejpam-1352	141	15	s	s	PROPN
ejpam-1352	141	16	�	�	PROPN
ejpam-1352	141	17	.	.	PUNCT
ejpam-1352	142	1	morever	morever	PROPN
ejpam-1352	142	2	,	,	PUNCT
ejpam-1352	142	3	there	there	PRON
ejpam-1352	142	4	are	be	VERB
ejpam-1352	142	5	s	s	PART
ejpam-1352	142	6	non	non	ADJ
ejpam-1352	142	7	-	-	ADJ
ejpam-1352	142	8	zero	zero	NUM
ejpam-1352	142	9	elements	element	NOUN
ejpam-1352	142	10	of	of	ADP
ejpam-1352	142	11	vi	vi	NOUN
ejpam-1352	142	12	left	leave	VERB
ejpam-1352	142	13	.	.	PUNCT
ejpam-1352	143	1	these	these	DET
ejpam-1352	143	2	elements	element	NOUN
ejpam-1352	143	3	are	be	AUX
ejpam-1352	143	4	in	in	ADP
ejpam-1352	143	5	b−	b−	PROPN
ejpam-1352	143	6	j	j	PROPN
ejpam-1352	143	7	positions	position	NOUN
ejpam-1352	143	8	.	.	PUNCT
ejpam-1352	144	1	the	the	DET
ejpam-1352	144	2	number	number	NOUN
ejpam-1352	144	3	of	of	ADP
ejpam-1352	144	4	s	s	NOUN
ejpam-1352	144	5	non	non	ADJ
ejpam-1352	144	6	-	-	ADJ
ejpam-1352	144	7	zero	zero	NUM
ejpam-1352	144	8	positions	position	NOUN
ejpam-1352	144	9	chosen	choose	VERB
ejpam-1352	144	10	from	from	ADP
ejpam-1352	144	11	b−	b−	PROPN
ejpam-1352	144	12	j	j	PROPN
ejpam-1352	144	13	positions	position	NOUN
ejpam-1352	144	14	is	be	AUX
ejpam-1352	144	15	3s	3s	NUM
ejpam-1352	144	16	�	�	PROPN
ejpam-1352	144	17	b−	b−	PROPN
ejpam-1352	144	18	j	j	PROPN
ejpam-1352	144	19	s	s	PROPN
ejpam-1352	144	20	�	�	PROPN
ejpam-1352	144	21	.	.	PUNCT
ejpam-1352	145	1	hence	hence	ADV
ejpam-1352	145	2	,	,	PUNCT
ejpam-1352	145	3	∑	∑	PROPN
ejpam-1352	145	4	vi∈rb	vi∈rb	X
ejpam-1352	145	5	2	2	NUM
ejpam-1352	145	6	χ	χ	DET
ejpam-1352	145	7	�	�	PROPN
ejpam-1352	145	8	ci	ci	PROPN
ejpam-1352	145	9	,	,	PUNCT
ejpam-1352	145	10	vi	vi	PROPN
ejpam-1352	145	11	�	�	PROPN
ejpam-1352	145	12	�	�	PROPN
ejpam-1352	145	13	z⌈w(vi)/t⌉	z⌈w(vi)/t⌉	NOUN
ejpam-1352	145	14	=	=	PUNCT
ejpam-1352	145	15	b∑	b∑	PROPN
ejpam-1352	146	1	p=0	p=0	PROPN
ejpam-1352	146	2	p∑	p∑	X
ejpam-1352	147	1	s=0	s=0	PROPN
ejpam-1352	147	2	(	(	PUNCT
ejpam-1352	147	3	−1)p−s3s	−1)p−s3s	PROPN
ejpam-1352	147	4	�	�	PROPN
ejpam-1352	147	5	j	j	PROPN
ejpam-1352	148	1	p−	p−	PROPN
ejpam-1352	148	2	s	s	NOUN
ejpam-1352	148	3	�	�	NOUN
ejpam-1352	148	4	�	�	PROPN
ejpam-1352	148	5	b−	b−	PROPN
ejpam-1352	148	6	j	j	PROPN
ejpam-1352	148	7	s	s	PROPN
ejpam-1352	148	8	�	�	PROPN
ejpam-1352	148	9	!	!	PUNCT
ejpam-1352	149	1	z⌈p	z⌈p	NUM
ejpam-1352	149	2	/	/	SYM
ejpam-1352	149	3	t⌉.	t⌉.	X
ejpam-1352	149	4	hence	hence	ADV
ejpam-1352	149	5	,	,	PUNCT
ejpam-1352	149	6	the	the	PRON
ejpam-1352	149	7	function	function	NOUN
ejpam-1352	149	8	ef	ef	X
ejpam-1352	149	9	(	(	PUNCT
ejpam-1352	149	10	c	c	NOUN
ejpam-1352	149	11	)	)	PUNCT
ejpam-1352	149	12	is	be	AUX
ejpam-1352	149	13	expressed	express	VERB
ejpam-1352	149	14	as	as	ADP
ejpam-1352	149	15	ef	ef	PROPN
ejpam-1352	149	16	(	(	PUNCT
ejpam-1352	149	17	c	c	NOUN
ejpam-1352	149	18	)	)	PUNCT
ejpam-1352	149	19	=	=	SYM
ejpam-1352	149	20	b∏	b∏	PROPN
ejpam-1352	149	21	j=0	j=0	PROPN
ejpam-1352	149	22	�	�	PROPN
ejpam-1352	149	23	v	v	PROPN
ejpam-1352	149	24	(	(	PUNCT
ejpam-1352	149	25	t	t	PROPN
ejpam-1352	149	26	)	)	PUNCT
ejpam-1352	149	27	j	j	PROPN
ejpam-1352	149	28	(	(	PUNCT
ejpam-1352	149	29	z	z	NOUN
ejpam-1352	149	30	)	)	PUNCT
ejpam-1352	149	31	�	�	PROPN
ejpam-1352	149	32	α	α	PROPN
ejpam-1352	149	33	j	j	PROPN
ejpam-1352	149	34	.	.	PUNCT
ejpam-1352	150	1	(	(	PUNCT
ejpam-1352	150	2	3	3	X
ejpam-1352	150	3	)	)	PUNCT
ejpam-1352	150	4	v.	v.	ADP
ejpam-1352	150	5	şiap	şiap	PROPN
ejpam-1352	150	6	,	,	PUNCT
ejpam-1352	150	7	m.	m.	NOUN
ejpam-1352	150	8	özen	özen	NOUN
ejpam-1352	150	9	/	/	SYM
ejpam-1352	150	10	eur	eur	NOUN
ejpam-1352	150	11	.	.	PUNCT
ejpam-1352	151	1	j.	j.	PROPN
ejpam-1352	151	2	pure	pure	PROPN
ejpam-1352	151	3	appl	appl	PROPN
ejpam-1352	151	4	.	.	PROPN
ejpam-1352	151	5	math	math	PROPN
ejpam-1352	151	6	,	,	PUNCT
ejpam-1352	151	7	5	5	NUM
ejpam-1352	151	8	(	(	PUNCT
ejpam-1352	151	9	2012	2012	NUM
ejpam-1352	151	10	)	)	PUNCT
ejpam-1352	151	11	,	,	PUNCT
ejpam-1352	151	12	373	373	NUM
ejpam-1352	151	13	-	-	SYM
ejpam-1352	151	14	379	379	NUM
ejpam-1352	151	15	378	378	NUM
ejpam-1352	151	16	substituting	substitute	VERB
ejpam-1352	151	17	eq	eq	NOUN
ejpam-1352	151	18	.	.	PUNCT
ejpam-1352	152	1	(	(	PUNCT
ejpam-1352	152	2	3	3	X
ejpam-1352	152	3	)	)	PUNCT
ejpam-1352	152	4	in	in	ADP
ejpam-1352	152	5	lemma	lemma	PROPN
ejpam-1352	152	6	2	2	NUM
ejpam-1352	152	7	we	we	PRON
ejpam-1352	152	8	obtain	obtain	VERB
ejpam-1352	152	9	∑	∑	ADP
ejpam-1352	152	10	v∈c⊥	v∈c⊥	NOUN
ejpam-1352	152	11	b∏	b∏	PROPN
ejpam-1352	152	12	j=0	j=0	PROPN
ejpam-1352	152	13	�	�	PROPN
ejpam-1352	152	14	z⌈	z⌈	PROPN
ejpam-1352	152	15	j	j	PROPN
ejpam-1352	152	16	/	/	SYM
ejpam-1352	152	17	t⌉	t⌉	X
ejpam-1352	152	18	�	�	PROPN
ejpam-1352	152	19	α	α	NOUN
ejpam-1352	152	20	j	j	NOUN
ejpam-1352	152	21	=	=	SYM
ejpam-1352	152	22	1	1	NUM
ejpam-1352	152	23	|c	|c	VERB
ejpam-1352	152	24	|	|	ADV
ejpam-1352	152	25	∑	∑	ADV
ejpam-1352	152	26	c∈c	c∈c	PROPN
ejpam-1352	152	27	b∏	b∏	PROPN
ejpam-1352	152	28	j=0	j=0	PROPN
ejpam-1352	152	29	�	�	PROPN
ejpam-1352	152	30	v	v	PROPN
ejpam-1352	152	31	(	(	PUNCT
ejpam-1352	152	32	t	t	PROPN
ejpam-1352	152	33	)	)	PUNCT
ejpam-1352	152	34	j	j	PROPN
ejpam-1352	152	35	(	(	PUNCT
ejpam-1352	152	36	z	z	NOUN
ejpam-1352	152	37	)	)	PUNCT
ejpam-1352	152	38	�	�	PROPN
ejpam-1352	152	39	α	α	PROPN
ejpam-1352	152	40	j	j	PROPN
ejpam-1352	152	41	.	.	PUNCT
ejpam-1352	153	1	hence	hence	ADV
ejpam-1352	153	2	the	the	DET
ejpam-1352	153	3	proof	proof	NOUN
ejpam-1352	153	4	is	be	AUX
ejpam-1352	153	5	completed	complete	VERB
ejpam-1352	153	6	.	.	PUNCT
ejpam-1352	154	1	4	4	X
ejpam-1352	154	2	.	.	X
ejpam-1352	154	3	an	an	DET
ejpam-1352	154	4	illustrative	illustrative	ADJ
ejpam-1352	154	5	example	example	NOUN
ejpam-1352	154	6	let	let	VERB
ejpam-1352	154	7	g	g	PROPN
ejpam-1352	154	8	=	=	SYM
ejpam-1352	154	9	�	�	PROPN
ejpam-1352	155	1	1	1	NUM
ejpam-1352	155	2	0	0	NUM
ejpam-1352	155	3	v	v	NUM
ejpam-1352	155	4	1	1	NUM
ejpam-1352	155	5	0	0	NUM
ejpam-1352	155	6	v	v	NOUN
ejpam-1352	155	7	0	0	NUM
ejpam-1352	155	8	1	1	NUM
ejpam-1352	155	9	1	1	NUM
ejpam-1352	155	10	1	1	NUM
ejpam-1352	155	11	+	+	NUM
ejpam-1352	155	12	v	v	NOUN
ejpam-1352	155	13	0	0	NUM
ejpam-1352	155	14	1	1	NUM
ejpam-1352	155	15	�	�	NOUN
ejpam-1352	155	16	be	be	AUX
ejpam-1352	155	17	the	the	DET
ejpam-1352	155	18	generator	generator	NOUN
ejpam-1352	155	19	matrix	matrix	NOUN
ejpam-1352	155	20	of	of	ADP
ejpam-1352	155	21	byte	byte	NOUN
ejpam-1352	155	22	error	error	NOUN
ejpam-1352	155	23	control	control	NOUN
ejpam-1352	155	24	code	code	NOUN
ejpam-1352	155	25	(	(	PUNCT
ejpam-1352	155	26	or	or	CCONJ
ejpam-1352	155	27	a	a	DET
ejpam-1352	155	28	linear	linear	ADJ
ejpam-1352	155	29	code	code	NOUN
ejpam-1352	155	30	)	)	PUNCT
ejpam-1352	155	31	c	c	PROPN
ejpam-1352	155	32	over	over	ADP
ejpam-1352	155	33	f2	f2	PROPN
ejpam-1352	155	34	+	+	CCONJ
ejpam-1352	155	35	vf2	vf2	NOUN
ejpam-1352	155	36	of	of	ADP
ejpam-1352	155	37	length	length	NOUN
ejpam-1352	155	38	6	6	NUM
ejpam-1352	155	39	.	.	PUNCT
ejpam-1352	156	1	the	the	DET
ejpam-1352	156	2	dual	dual	ADJ
ejpam-1352	156	3	code	code	NOUN
ejpam-1352	156	4	of	of	ADP
ejpam-1352	156	5	c	c	PROPN
ejpam-1352	156	6	is	be	AUX
ejpam-1352	156	7	a	a	DET
ejpam-1352	156	8	byte	byte	NOUN
ejpam-1352	156	9	error	error	NOUN
ejpam-1352	156	10	control	control	NOUN
ejpam-1352	156	11	code	code	NOUN
ejpam-1352	156	12	of	of	ADP
ejpam-1352	156	13	length	length	NOUN
ejpam-1352	156	14	6	6	NUM
ejpam-1352	156	15	and	and	CCONJ
ejpam-1352	156	16	it	it	PRON
ejpam-1352	156	17	has	have	VERB
ejpam-1352	156	18	256	256	NUM
ejpam-1352	156	19	codewords	codeword	NOUN
ejpam-1352	156	20	.	.	PUNCT
ejpam-1352	157	1	let	let	VERB
ejpam-1352	157	2	b	b	NOUN
ejpam-1352	157	3	=	=	SYM
ejpam-1352	157	4	3	3	NUM
ejpam-1352	157	5	and	and	CCONJ
ejpam-1352	157	6	t	t	NOUN
ejpam-1352	158	1	=	=	SYM
ejpam-1352	158	2	2	2	X
ejpam-1352	158	3	.	.	PUNCT
ejpam-1352	159	1	the	the	DET
ejpam-1352	159	2	codewords	codeword	NOUN
ejpam-1352	159	3	of	of	ADP
ejpam-1352	159	4	the	the	DET
ejpam-1352	159	5	byte	byte	NOUN
ejpam-1352	159	6	control	control	PROPN
ejpam-1352	159	7	code	code	PROPN
ejpam-1352	159	8	c	c	PROPN
ejpam-1352	159	9	,	,	PUNCT
ejpam-1352	159	10	the	the	DET
ejpam-1352	159	11	hamming	hamming	ADJ
ejpam-1352	159	12	weight	weight	NOUN
ejpam-1352	159	13	distribution	distribution	NOUN
ejpam-1352	159	14	vectors	vector	NOUN
ejpam-1352	159	15	of	of	ADP
ejpam-1352	159	16	the	the	DET
ejpam-1352	159	17	codewords	codeword	NOUN
ejpam-1352	159	18	of	of	ADP
ejpam-1352	159	19	c	c	PROPN
ejpam-1352	159	20	and	and	CCONJ
ejpam-1352	159	21	the	the	DET
ejpam-1352	159	22	corresponding	corresponding	ADJ
ejpam-1352	159	23	v	v	NOUN
ejpam-1352	159	24	(	(	PUNCT
ejpam-1352	159	25	2	2	NUM
ejpam-1352	159	26	)	)	PUNCT
ejpam-1352	159	27	j	j	NOUN
ejpam-1352	159	28	expressions	expression	NOUN
ejpam-1352	159	29	are	be	AUX
ejpam-1352	159	30	shown	show	VERB
ejpam-1352	159	31	in	in	ADP
ejpam-1352	159	32	table	table	NOUN
ejpam-1352	159	33	1	1	NUM
ejpam-1352	159	34	for	for	SCONJ
ejpam-1352	159	35	the	the	DET
ejpam-1352	159	36	necessary	necessary	ADJ
ejpam-1352	159	37	computations	computation	NOUN
ejpam-1352	159	38	to	to	PART
ejpam-1352	159	39	be	be	AUX
ejpam-1352	159	40	used	use	VERB
ejpam-1352	159	41	in	in	ADP
ejpam-1352	159	42	theorem	theorem	ADJ
ejpam-1352	159	43	2	2	NUM
ejpam-1352	159	44	.	.	NOUN
ejpam-1352	159	45	table	table	NOUN
ejpam-1352	159	46	1	1	NUM
ejpam-1352	159	47	:	:	PUNCT
ejpam-1352	159	48	codewords	codeword	NOUN
ejpam-1352	159	49	and	and	CCONJ
ejpam-1352	159	50	their	their	PRON
ejpam-1352	159	51	corresponding	corresponding	ADJ
ejpam-1352	159	52	terms	term	NOUN
ejpam-1352	159	53	.	.	PUNCT
ejpam-1352	160	1	codeword	codeword	PROPN
ejpam-1352	160	2	�	�	PROPN
ejpam-1352	160	3	α0,α1,α2,α3	α0,α1,α2,α3	PROPN
ejpam-1352	160	4	�	�	PROPN
ejpam-1352	160	5	v	v	PROPN
ejpam-1352	160	6	(	(	PUNCT
ejpam-1352	160	7	2	2	NUM
ejpam-1352	160	8	)	)	PUNCT
ejpam-1352	160	9	0	0	NUM
ejpam-1352	160	10	v	v	NOUN
ejpam-1352	160	11	(	(	PUNCT
ejpam-1352	160	12	2	2	NUM
ejpam-1352	160	13	)	)	PUNCT
ejpam-1352	160	14	1	1	NUM
ejpam-1352	160	15	v	v	NOUN
ejpam-1352	160	16	(	(	PUNCT
ejpam-1352	160	17	2	2	NUM
ejpam-1352	160	18	)	)	PUNCT
ejpam-1352	160	19	2	2	NUM
ejpam-1352	160	20	v	v	NOUN
ejpam-1352	160	21	(	(	PUNCT
ejpam-1352	160	22	2	2	NUM
ejpam-1352	160	23	)	)	PUNCT
ejpam-1352	160	24	3	3	NUM
ejpam-1352	160	25	(	(	PUNCT
ejpam-1352	160	26	0,0,0,0,0,0	0,0,0,0,0,0	NOUN
ejpam-1352	160	27	)	)	PUNCT
ejpam-1352	160	28	(	(	PUNCT
ejpam-1352	160	29	2,0,0,0	2,0,0,0	NUM
ejpam-1352	160	30	)	)	SYM
ejpam-1352	160	31	v	v	NOUN
ejpam-1352	160	32	(	(	PUNCT
ejpam-1352	160	33	2	2	NUM
ejpam-1352	160	34	)	)	PUNCT
ejpam-1352	160	35	0	0	NUM
ejpam-1352	160	36	v	v	NOUN
ejpam-1352	160	37	(	(	PUNCT
ejpam-1352	160	38	2	2	NUM
ejpam-1352	160	39	)	)	PUNCT
ejpam-1352	160	40	0	0	NUM
ejpam-1352	160	41	(	(	PUNCT
ejpam-1352	160	42	0,1,1,1	0,1,1,1	NUM
ejpam-1352	160	43	+	+	NUM
ejpam-1352	160	44	v	v	NOUN
ejpam-1352	160	45	,	,	PUNCT
ejpam-1352	160	46	0,1	0,1	NUM
ejpam-1352	160	47	)	)	PUNCT
ejpam-1352	160	48	(	(	PUNCT
ejpam-1352	160	49	0,0,2,0	0,0,2,0	X
ejpam-1352	160	50	)	)	PUNCT
ejpam-1352	160	51	v	v	NOUN
ejpam-1352	160	52	(	(	PUNCT
ejpam-1352	160	53	2	2	NUM
ejpam-1352	160	54	)	)	PUNCT
ejpam-1352	160	55	2	2	NUM
ejpam-1352	160	56	v	v	NOUN
ejpam-1352	160	57	(	(	PUNCT
ejpam-1352	160	58	2	2	NUM
ejpam-1352	160	59	)	)	PUNCT
ejpam-1352	160	60	2	2	NUM
ejpam-1352	160	61	(	(	PUNCT
ejpam-1352	160	62	0	0	NUM
ejpam-1352	160	63	,	,	PUNCT
ejpam-1352	160	64	v	v	NOUN
ejpam-1352	160	65	,	,	PUNCT
ejpam-1352	160	66	v	v	NOUN
ejpam-1352	160	67	,	,	PUNCT
ejpam-1352	160	68	0,0	0,0	NOUN
ejpam-1352	160	69	,	,	PUNCT
ejpam-1352	160	70	v	v	NOUN
ejpam-1352	160	71	)	)	PUNCT
ejpam-1352	160	72	(	(	PUNCT
ejpam-1352	160	73	0,1,1,0	0,1,1,0	NUM
ejpam-1352	160	74	)	)	PUNCT
ejpam-1352	160	75	v	v	NOUN
ejpam-1352	160	76	(	(	PUNCT
ejpam-1352	160	77	2	2	NUM
ejpam-1352	160	78	)	)	PUNCT
ejpam-1352	160	79	1	1	NUM
ejpam-1352	160	80	v	v	NOUN
ejpam-1352	160	81	(	(	PUNCT
ejpam-1352	160	82	2	2	NUM
ejpam-1352	160	83	)	)	PUNCT
ejpam-1352	160	84	2	2	NUM
ejpam-1352	160	85	(	(	PUNCT
ejpam-1352	160	86	0,1	0,1	NUM
ejpam-1352	160	87	+	+	NUM
ejpam-1352	160	88	v	v	NOUN
ejpam-1352	160	89	,	,	PUNCT
ejpam-1352	160	90	1	1	NUM
ejpam-1352	160	91	+	+	NUM
ejpam-1352	160	92	v	v	NOUN
ejpam-1352	160	93	,	,	PUNCT
ejpam-1352	160	94	1	1	NUM
ejpam-1352	160	95	+	+	NUM
ejpam-1352	160	96	v	v	NOUN
ejpam-1352	160	97	,	,	PUNCT
ejpam-1352	160	98	0,1	0,1	NUM
ejpam-1352	160	99	+	+	NUM
ejpam-1352	160	100	v	v	NOUN
ejpam-1352	160	101	)	)	PUNCT
ejpam-1352	160	102	(	(	PUNCT
ejpam-1352	160	103	0,0,2,0	0,0,2,0	X
ejpam-1352	160	104	)	)	PUNCT
ejpam-1352	160	105	v	v	NOUN
ejpam-1352	160	106	(	(	PUNCT
ejpam-1352	160	107	2	2	NUM
ejpam-1352	160	108	)	)	PUNCT
ejpam-1352	160	109	2	2	NUM
ejpam-1352	160	110	v	v	NOUN
ejpam-1352	160	111	(	(	PUNCT
ejpam-1352	160	112	2	2	NUM
ejpam-1352	160	113	)	)	PUNCT
ejpam-1352	160	114	2	2	NUM
ejpam-1352	160	115	(	(	PUNCT
ejpam-1352	160	116	1,0	1,0	NUM
ejpam-1352	160	117	,	,	PUNCT
ejpam-1352	160	118	v	v	NOUN
ejpam-1352	160	119	,	,	PUNCT
ejpam-1352	160	120	1,0	1,0	NUM
ejpam-1352	160	121	,	,	PUNCT
ejpam-1352	160	122	v	v	NOUN
ejpam-1352	160	123	)	)	PUNCT
ejpam-1352	160	124	(	(	PUNCT
ejpam-1352	160	125	0,0,2,0	0,0,2,0	X
ejpam-1352	160	126	)	)	PUNCT
ejpam-1352	160	127	v	v	NOUN
ejpam-1352	160	128	(	(	PUNCT
ejpam-1352	160	129	2	2	NUM
ejpam-1352	160	130	)	)	PUNCT
ejpam-1352	160	131	2	2	NUM
ejpam-1352	160	132	v	v	NOUN
ejpam-1352	160	133	(	(	PUNCT
ejpam-1352	160	134	2	2	NUM
ejpam-1352	160	135	)	)	PUNCT
ejpam-1352	160	136	2	2	NUM
ejpam-1352	160	137	(	(	PUNCT
ejpam-1352	160	138	1,1,1	1,1,1	NUM
ejpam-1352	160	139	+	+	NUM
ejpam-1352	160	140	v	v	NOUN
ejpam-1352	160	141	,	,	PUNCT
ejpam-1352	160	142	v	v	NOUN
ejpam-1352	160	143	,	,	PUNCT
ejpam-1352	160	144	0,1	0,1	NUM
ejpam-1352	160	145	+	+	NUM
ejpam-1352	160	146	v	v	NOUN
ejpam-1352	160	147	)	)	PUNCT
ejpam-1352	160	148	(	(	PUNCT
ejpam-1352	160	149	0,0,1,1	0,0,1,1	X
ejpam-1352	160	150	)	)	PUNCT
ejpam-1352	160	151	v	v	NOUN
ejpam-1352	160	152	(	(	PUNCT
ejpam-1352	160	153	2	2	NUM
ejpam-1352	160	154	)	)	PUNCT
ejpam-1352	160	155	2	2	NUM
ejpam-1352	160	156	v	v	NOUN
ejpam-1352	160	157	(	(	PUNCT
ejpam-1352	160	158	2	2	NUM
ejpam-1352	160	159	)	)	PUNCT
ejpam-1352	160	160	3	3	NUM
ejpam-1352	160	161	(	(	PUNCT
ejpam-1352	160	162	1	1	NUM
ejpam-1352	160	163	,	,	PUNCT
ejpam-1352	160	164	v	v	NOUN
ejpam-1352	160	165	,	,	PUNCT
ejpam-1352	160	166	0,1,0,0	0,1,0,0	NUM
ejpam-1352	160	167	)	)	PUNCT
ejpam-1352	160	168	(	(	PUNCT
ejpam-1352	160	169	0,1,1,0	0,1,1,0	NUM
ejpam-1352	160	170	)	)	PUNCT
ejpam-1352	160	171	v	v	NOUN
ejpam-1352	160	172	(	(	PUNCT
ejpam-1352	160	173	2	2	NUM
ejpam-1352	160	174	)	)	PUNCT
ejpam-1352	160	175	1	1	NUM
ejpam-1352	160	176	v	v	NOUN
ejpam-1352	160	177	(	(	PUNCT
ejpam-1352	160	178	2	2	NUM
ejpam-1352	160	179	)	)	PUNCT
ejpam-1352	160	180	2	2	NUM
ejpam-1352	160	181	(	(	PUNCT
ejpam-1352	160	182	1,1	1,1	NUM
ejpam-1352	160	183	+	+	NUM
ejpam-1352	160	184	v	v	NOUN
ejpam-1352	160	185	,	,	PUNCT
ejpam-1352	160	186	1	1	NUM
ejpam-1352	160	187	,	,	PUNCT
ejpam-1352	160	188	v	v	NOUN
ejpam-1352	160	189	,	,	PUNCT
ejpam-1352	160	190	0,1	0,1	NUM
ejpam-1352	160	191	)	)	PUNCT
ejpam-1352	160	192	(	(	PUNCT
ejpam-1352	160	193	0,0,1,1	0,0,1,1	X
ejpam-1352	160	194	)	)	PUNCT
ejpam-1352	160	195	v	v	NOUN
ejpam-1352	160	196	(	(	PUNCT
ejpam-1352	160	197	2	2	NUM
ejpam-1352	160	198	)	)	PUNCT
ejpam-1352	160	199	2	2	NUM
ejpam-1352	160	200	v	v	NOUN
ejpam-1352	160	201	(	(	PUNCT
ejpam-1352	160	202	2	2	NUM
ejpam-1352	160	203	)	)	PUNCT
ejpam-1352	160	204	3	3	NUM
ejpam-1352	160	205	(	(	PUNCT
ejpam-1352	160	206	v	v	NOUN
ejpam-1352	160	207	,	,	PUNCT
ejpam-1352	160	208	0	0	NUM
ejpam-1352	160	209	,	,	PUNCT
ejpam-1352	160	210	v	v	NOUN
ejpam-1352	160	211	,	,	PUNCT
ejpam-1352	160	212	v	v	NOUN
ejpam-1352	160	213	,	,	PUNCT
ejpam-1352	160	214	0	0	NUM
ejpam-1352	160	215	,	,	PUNCT
ejpam-1352	160	216	v	v	NOUN
ejpam-1352	160	217	)	)	PUNCT
ejpam-1352	160	218	(	(	PUNCT
ejpam-1352	160	219	0,0,2,0	0,0,2,0	X
ejpam-1352	160	220	)	)	PUNCT
ejpam-1352	160	221	v	v	NOUN
ejpam-1352	160	222	(	(	PUNCT
ejpam-1352	160	223	2	2	NUM
ejpam-1352	160	224	)	)	PUNCT
ejpam-1352	160	225	2	2	NUM
ejpam-1352	160	226	v	v	NOUN
ejpam-1352	160	227	(	(	PUNCT
ejpam-1352	160	228	2	2	NUM
ejpam-1352	160	229	)	)	PUNCT
ejpam-1352	160	230	2	2	NUM
ejpam-1352	160	231	(	(	PUNCT
ejpam-1352	160	232	v	v	NOUN
ejpam-1352	160	233	,	,	PUNCT
ejpam-1352	160	234	1,1	1,1	NUM
ejpam-1352	160	235	+	+	SYM
ejpam-1352	160	236	v	v	NOUN
ejpam-1352	160	237	,	,	PUNCT
ejpam-1352	160	238	1,0,1	1,0,1	NUM
ejpam-1352	160	239	+	+	SYM
ejpam-1352	160	240	v	v	NOUN
ejpam-1352	160	241	)	)	PUNCT
ejpam-1352	160	242	(	(	PUNCT
ejpam-1352	160	243	0,0,1,1	0,0,1,1	X
ejpam-1352	160	244	)	)	PUNCT
ejpam-1352	160	245	v	v	NOUN
ejpam-1352	160	246	(	(	PUNCT
ejpam-1352	160	247	2	2	NUM
ejpam-1352	160	248	)	)	PUNCT
ejpam-1352	160	249	2	2	NUM
ejpam-1352	160	250	v	v	NOUN
ejpam-1352	160	251	(	(	PUNCT
ejpam-1352	160	252	2	2	NUM
ejpam-1352	160	253	)	)	PUNCT
ejpam-1352	160	254	3	3	NUM
ejpam-1352	160	255	(	(	PUNCT
ejpam-1352	160	256	v	v	NOUN
ejpam-1352	160	257	,	,	PUNCT
ejpam-1352	160	258	v	v	NOUN
ejpam-1352	160	259	,	,	PUNCT
ejpam-1352	160	260	0	0	NUM
ejpam-1352	160	261	,	,	PUNCT
ejpam-1352	160	262	v	v	NOUN
ejpam-1352	160	263	,	,	PUNCT
ejpam-1352	160	264	0,0	0,0	NOUN
ejpam-1352	160	265	)	)	PUNCT
ejpam-1352	160	266	(	(	PUNCT
ejpam-1352	160	267	0,1,1,0	0,1,1,0	NUM
ejpam-1352	160	268	)	)	PUNCT
ejpam-1352	160	269	v	v	NOUN
ejpam-1352	160	270	(	(	PUNCT
ejpam-1352	160	271	2	2	NUM
ejpam-1352	160	272	)	)	PUNCT
ejpam-1352	160	273	1	1	NUM
ejpam-1352	160	274	v	v	NOUN
ejpam-1352	160	275	(	(	PUNCT
ejpam-1352	160	276	2	2	NUM
ejpam-1352	160	277	)	)	PUNCT
ejpam-1352	160	278	2	2	NUM
ejpam-1352	160	279	(	(	PUNCT
ejpam-1352	160	280	v	v	NOUN
ejpam-1352	160	281	,	,	PUNCT
ejpam-1352	160	282	1	1	NUM
ejpam-1352	160	283	+	+	NUM
ejpam-1352	160	284	v	v	NOUN
ejpam-1352	160	285	,	,	PUNCT
ejpam-1352	160	286	1,1,0,1	1,1,0,1	NUM
ejpam-1352	160	287	)	)	PUNCT
ejpam-1352	160	288	(	(	PUNCT
ejpam-1352	160	289	0,0,1,1	0,0,1,1	X
ejpam-1352	160	290	)	)	PUNCT
ejpam-1352	160	291	v	v	NOUN
ejpam-1352	160	292	(	(	PUNCT
ejpam-1352	160	293	2	2	NUM
ejpam-1352	160	294	)	)	PUNCT
ejpam-1352	160	295	2	2	NUM
ejpam-1352	160	296	v	v	NOUN
ejpam-1352	160	297	(	(	PUNCT
ejpam-1352	160	298	2	2	NUM
ejpam-1352	160	299	)	)	PUNCT
ejpam-1352	160	300	3	3	NUM
ejpam-1352	160	301	(	(	PUNCT
ejpam-1352	160	302	1	1	NUM
ejpam-1352	160	303	+	+	NUM
ejpam-1352	160	304	v	v	NOUN
ejpam-1352	160	305	,	,	PUNCT
ejpam-1352	160	306	0,0,1	0,0,1	NOUN
ejpam-1352	160	307	+	+	SYM
ejpam-1352	160	308	v	v	ADJ
ejpam-1352	160	309	,	,	PUNCT
ejpam-1352	160	310	0,0	0,0	NOUN
ejpam-1352	160	311	)	)	PUNCT
ejpam-1352	160	312	(	(	PUNCT
ejpam-1352	160	313	0,2,0,0	0,2,0,0	NOUN
ejpam-1352	160	314	)	)	SYM
ejpam-1352	160	315	v	v	NOUN
ejpam-1352	160	316	(	(	PUNCT
ejpam-1352	160	317	2	2	NUM
ejpam-1352	160	318	)	)	PUNCT
ejpam-1352	160	319	1	1	NUM
ejpam-1352	160	320	v	v	NOUN
ejpam-1352	160	321	(	(	PUNCT
ejpam-1352	160	322	2	2	NUM
ejpam-1352	160	323	)	)	PUNCT
ejpam-1352	160	324	1	1	NUM
ejpam-1352	160	325	(	(	PUNCT
ejpam-1352	160	326	1	1	NUM
ejpam-1352	160	327	+	+	NUM
ejpam-1352	160	328	v	v	NOUN
ejpam-1352	160	329	,	,	PUNCT
ejpam-1352	160	330	1,1,0,0,1	1,1,0,0,1	NUM
ejpam-1352	160	331	)	)	PUNCT
ejpam-1352	160	332	(	(	PUNCT
ejpam-1352	160	333	0,1,0,1	0,1,0,1	NOUN
ejpam-1352	160	334	)	)	PUNCT
ejpam-1352	160	335	v	v	NOUN
ejpam-1352	160	336	(	(	PUNCT
ejpam-1352	160	337	2	2	NUM
ejpam-1352	160	338	)	)	PUNCT
ejpam-1352	160	339	1	1	NUM
ejpam-1352	160	340	v	v	NOUN
ejpam-1352	160	341	(	(	PUNCT
ejpam-1352	160	342	2	2	NUM
ejpam-1352	160	343	)	)	PUNCT
ejpam-1352	160	344	3	3	NUM
ejpam-1352	160	345	(	(	PUNCT
ejpam-1352	160	346	1	1	NUM
ejpam-1352	160	347	+	+	NUM
ejpam-1352	160	348	v	v	NOUN
ejpam-1352	160	349	,	,	PUNCT
ejpam-1352	160	350	v	v	NOUN
ejpam-1352	160	351	,	,	PUNCT
ejpam-1352	160	352	v	v	NOUN
ejpam-1352	160	353	,	,	PUNCT
ejpam-1352	160	354	1	1	NUM
ejpam-1352	160	355	+	+	NUM
ejpam-1352	160	356	v	v	NOUN
ejpam-1352	160	357	,	,	PUNCT
ejpam-1352	160	358	0	0	NUM
ejpam-1352	160	359	,	,	PUNCT
ejpam-1352	160	360	v	v	NOUN
ejpam-1352	160	361	)	)	PUNCT
ejpam-1352	160	362	(	(	PUNCT
ejpam-1352	160	363	0,0,1,1	0,0,1,1	X
ejpam-1352	160	364	)	)	PUNCT
ejpam-1352	160	365	v	v	NOUN
ejpam-1352	160	366	(	(	PUNCT
ejpam-1352	160	367	2	2	NUM
ejpam-1352	160	368	)	)	PUNCT
ejpam-1352	160	369	2	2	NUM
ejpam-1352	160	370	v	v	NOUN
ejpam-1352	160	371	(	(	PUNCT
ejpam-1352	160	372	2	2	NUM
ejpam-1352	160	373	)	)	PUNCT
ejpam-1352	160	374	3	3	NUM
ejpam-1352	160	375	(	(	PUNCT
ejpam-1352	160	376	1	1	NUM
ejpam-1352	160	377	+	+	NUM
ejpam-1352	160	378	v	v	NOUN
ejpam-1352	160	379	,	,	PUNCT
ejpam-1352	160	380	1	1	NUM
ejpam-1352	160	381	+	+	NUM
ejpam-1352	160	382	v	v	NOUN
ejpam-1352	160	383	,	,	PUNCT
ejpam-1352	160	384	1	1	NUM
ejpam-1352	160	385	+	+	NUM
ejpam-1352	160	386	v	v	NOUN
ejpam-1352	160	387	,	,	PUNCT
ejpam-1352	160	388	0,0,1	0,0,1	NOUN
ejpam-1352	160	389	+	+	SYM
ejpam-1352	160	390	v	v	NOUN
ejpam-1352	160	391	)	)	PUNCT
ejpam-1352	160	392	(	(	PUNCT
ejpam-1352	160	393	0,1,0,1	0,1,0,1	NOUN
ejpam-1352	160	394	)	)	PUNCT
ejpam-1352	160	395	v	v	NOUN
ejpam-1352	160	396	(	(	PUNCT
ejpam-1352	160	397	2	2	NUM
ejpam-1352	160	398	)	)	PUNCT
ejpam-1352	160	399	1	1	NUM
ejpam-1352	160	400	v	v	NOUN
ejpam-1352	160	401	(	(	PUNCT
ejpam-1352	160	402	2	2	NUM
ejpam-1352	160	403	)	)	PUNCT
ejpam-1352	160	404	3	3	NUM
ejpam-1352	160	405	by	by	ADP
ejpam-1352	160	406	eq	eq	PROPN
ejpam-1352	160	407	.	.	PUNCT
ejpam-1352	160	408	(	(	PUNCT
ejpam-1352	160	409	1	1	NUM
ejpam-1352	160	410	)	)	PUNCT
ejpam-1352	160	411	and	and	CCONJ
ejpam-1352	160	412	table	table	NOUN
ejpam-1352	160	413	1	1	NUM
ejpam-1352	160	414	,	,	PUNCT
ejpam-1352	160	415	we	we	PRON
ejpam-1352	160	416	get	get	VERB
ejpam-1352	160	417	the	the	DET
ejpam-1352	160	418	m	m	NOUN
ejpam-1352	160	419	-	-	ADJ
ejpam-1352	160	420	spotty	spotty	ADJ
ejpam-1352	160	421	hamming	hamming	NOUN
ejpam-1352	160	422	weight	weight	NOUN
ejpam-1352	160	423	enumerator	enumerator	NOUN
ejpam-1352	160	424	of	of	ADP
ejpam-1352	160	425	c	c	PROPN
ejpam-1352	160	426	as	as	SCONJ
ejpam-1352	160	427	follows	follow	VERB
ejpam-1352	160	428	:	:	PUNCT
ejpam-1352	160	429	wc	wc	PROPN
ejpam-1352	160	430	(	(	PUNCT
ejpam-1352	160	431	z	z	NOUN
ejpam-1352	160	432	)	)	PUNCT
ejpam-1352	160	433	=	=	SYM
ejpam-1352	161	1	1	1	NUM
ejpam-1352	161	2	+	+	NUM
ejpam-1352	161	3	8z2	8z2	NUM
ejpam-1352	161	4	+	+	CCONJ
ejpam-1352	161	5	7z3	7z3	NUM
ejpam-1352	161	6	.	.	PUNCT
ejpam-1352	162	1	references	reference	NOUN
ejpam-1352	162	2	379	379	NUM
ejpam-1352	162	3	by	by	ADP
ejpam-1352	162	4	using	use	VERB
ejpam-1352	162	5	both	both	CCONJ
ejpam-1352	162	6	theorem	theorem	VERB
ejpam-1352	162	7	2	2	NUM
ejpam-1352	162	8	and	and	CCONJ
ejpam-1352	162	9	table	table	NOUN
ejpam-1352	162	10	1	1	NUM
ejpam-1352	162	11	,	,	PUNCT
ejpam-1352	162	12	we	we	PRON
ejpam-1352	162	13	obtain	obtain	VERB
ejpam-1352	162	14	wc⊥	wc⊥	PROPN
ejpam-1352	162	15	(	(	PUNCT
ejpam-1352	162	16	z	z	NOUN
ejpam-1352	162	17	)	)	PUNCT
ejpam-1352	162	18	=	=	SYM
ejpam-1352	162	19	�	�	PROPN
ejpam-1352	162	20	v	v	PROPN
ejpam-1352	162	21	(	(	PUNCT
ejpam-1352	162	22	2	2	NUM
ejpam-1352	162	23	)	)	PUNCT
ejpam-1352	162	24	0	0	NUM
ejpam-1352	162	25	�	�	NOUN
ejpam-1352	162	26	2	2	NUM
ejpam-1352	162	27	+	+	SYM
ejpam-1352	162	28	4	4	NUM
ejpam-1352	162	29	�	�	PROPN
ejpam-1352	162	30	v	v	NOUN
ejpam-1352	162	31	(	(	PUNCT
ejpam-1352	162	32	2	2	NUM
ejpam-1352	162	33	)	)	SYM
ejpam-1352	162	34	2	2	NUM
ejpam-1352	162	35	�	�	SYM
ejpam-1352	162	36	2	2	NUM
ejpam-1352	162	37	+	+	CCONJ
ejpam-1352	162	38	3v	3v	NUM
ejpam-1352	162	39	(	(	PUNCT
ejpam-1352	162	40	2	2	NUM
ejpam-1352	162	41	)	)	PUNCT
ejpam-1352	162	42	1	1	NUM
ejpam-1352	162	43	v	v	NOUN
ejpam-1352	162	44	(	(	PUNCT
ejpam-1352	162	45	2	2	NUM
ejpam-1352	162	46	)	)	PUNCT
ejpam-1352	162	47	2	2	NUM
ejpam-1352	162	48	+	+	SYM
ejpam-1352	162	49	5v	5v	NOUN
ejpam-1352	162	50	(	(	PUNCT
ejpam-1352	162	51	2	2	NUM
ejpam-1352	162	52	)	)	PUNCT
ejpam-1352	162	53	2	2	NUM
ejpam-1352	162	54	v	v	NOUN
ejpam-1352	162	55	(	(	PUNCT
ejpam-1352	162	56	2	2	NUM
ejpam-1352	162	57	)	)	PUNCT
ejpam-1352	162	58	3	3	NUM
ejpam-1352	163	1	+	+	NUM
ejpam-1352	163	2	2v	2v	NUM
ejpam-1352	163	3	(	(	PUNCT
ejpam-1352	163	4	2	2	NUM
ejpam-1352	163	5	)	)	PUNCT
ejpam-1352	163	6	1	1	NUM
ejpam-1352	163	7	v	v	NOUN
ejpam-1352	163	8	(	(	PUNCT
ejpam-1352	163	9	2	2	NUM
ejpam-1352	163	10	)	)	PUNCT
ejpam-1352	163	11	3	3	NUM
ejpam-1352	164	1	+	+	NUM
ejpam-1352	164	2	�	�	PROPN
ejpam-1352	164	3	v	v	NOUN
ejpam-1352	164	4	(	(	PUNCT
ejpam-1352	164	5	2	2	NUM
ejpam-1352	164	6	)	)	SYM
ejpam-1352	164	7	1	1	NUM
ejpam-1352	164	8	�	�	SYM
ejpam-1352	164	9	2	2	NUM
ejpam-1352	164	10	=	=	SYM
ejpam-1352	164	11	1	1	NUM
ejpam-1352	164	12	+	+	NUM
ejpam-1352	164	13	4z+	4z+	NUM
ejpam-1352	164	14	85z2	85z2	NUM
ejpam-1352	164	15	+	+	CCONJ
ejpam-1352	164	16	118z3	118z3	NUM
ejpam-1352	164	17	+	+	NUM
ejpam-1352	164	18	48z4	48z4	NUM
ejpam-1352	164	19	.	.	PUNCT
ejpam-1352	165	1	here	here	ADV
ejpam-1352	165	2	v	v	X
ejpam-1352	165	3	(	(	PUNCT
ejpam-1352	165	4	2	2	NUM
ejpam-1352	165	5	)	)	PUNCT
ejpam-1352	165	6	0	0	NUM
ejpam-1352	166	1	=	=	SYM
ejpam-1352	166	2	1	1	NUM
ejpam-1352	166	3	+	+	NUM
ejpam-1352	166	4	36z	36z	NUM
ejpam-1352	166	5	+	+	SYM
ejpam-1352	166	6	27z2	27z2	NUM
ejpam-1352	166	7	,	,	PUNCT
ejpam-1352	166	8	v	v	NOUN
ejpam-1352	166	9	(	(	PUNCT
ejpam-1352	166	10	2	2	NUM
ejpam-1352	166	11	)	)	PUNCT
ejpam-1352	166	12	1	1	NUM
ejpam-1352	166	13	=	=	SYM
ejpam-1352	166	14	1	1	NUM
ejpam-1352	166	15	+	+	NUM
ejpam-1352	166	16	8z	8z	NUM
ejpam-1352	166	17	−	−	PROPN
ejpam-1352	166	18	9z2	9z2	NUM
ejpam-1352	166	19	,	,	PUNCT
ejpam-1352	166	20	v	v	X
ejpam-1352	166	21	(	(	PUNCT
ejpam-1352	166	22	2	2	NUM
ejpam-1352	166	23	)	)	SYM
ejpam-1352	166	24	2	2	NUM
ejpam-1352	166	25	=	=	SYM
ejpam-1352	166	26	1−	1−	NUM
ejpam-1352	166	27	4z+	4z+	NUM
ejpam-1352	166	28	3z2	3z2	NUM
ejpam-1352	166	29	and	and	CCONJ
ejpam-1352	166	30	v	v	NOUN
ejpam-1352	166	31	(	(	PUNCT
ejpam-1352	166	32	2	2	NUM
ejpam-1352	166	33	)	)	PUNCT
ejpam-1352	166	34	3	3	NUM
ejpam-1352	166	35	=	=	SYM
ejpam-1352	166	36	1−	1−	NUM
ejpam-1352	166	37	z2	z2	NUM
ejpam-1352	166	38	.	.	PUNCT
ejpam-1352	167	1	5	5	NUM
ejpam-1352	167	2	.	.	X
ejpam-1352	167	3	conclusion	conclusion	NOUN
ejpam-1352	167	4	in	in	ADP
ejpam-1352	167	5	this	this	DET
ejpam-1352	167	6	paper	paper	NOUN
ejpam-1352	167	7	,	,	PUNCT
ejpam-1352	167	8	we	we	PRON
ejpam-1352	167	9	prove	prove	VERB
ejpam-1352	167	10	a	a	DET
ejpam-1352	167	11	macwilliams	macwilliam	NOUN
ejpam-1352	167	12	type	type	NOUN
ejpam-1352	167	13	identity	identity	NOUN
ejpam-1352	167	14	for	for	ADP
ejpam-1352	167	15	m	m	NOUN
ejpam-1352	167	16	-	-	ADJ
ejpam-1352	167	17	spotty	spotty	ADJ
ejpam-1352	167	18	hamming	ham	VERB
ejpam-1352	167	19	weight	weight	NOUN
ejpam-1352	167	20	enumerators	enumerator	NOUN
ejpam-1352	167	21	over	over	ADP
ejpam-1352	167	22	the	the	DET
ejpam-1352	167	23	ring	ring	NOUN
ejpam-1352	167	24	f2	f2	PROPN
ejpam-1352	167	25	+	+	CCONJ
ejpam-1352	167	26	vf2	vf2	NOUN
ejpam-1352	167	27	with	with	ADP
ejpam-1352	167	28	v2	v2	PROPN
ejpam-1352	168	1	=	=	PUNCT
ejpam-1352	169	1	v.	v.	CCONJ
ejpam-1352	169	2	we	we	PRON
ejpam-1352	169	3	conclude	conclude	VERB
ejpam-1352	169	4	the	the	DET
ejpam-1352	169	5	paper	paper	NOUN
ejpam-1352	169	6	by	by	ADP
ejpam-1352	169	7	giving	give	VERB
ejpam-1352	169	8	an	an	DET
ejpam-1352	169	9	illustration	illustration	NOUN
ejpam-1352	169	10	of	of	ADP
ejpam-1352	169	11	theorem	theorem	NOUN
ejpam-1352	169	12	2	2	NUM
ejpam-1352	169	13	.	.	PUNCT
ejpam-1352	170	1	this	this	PRON
ejpam-1352	170	2	provides	provide	VERB
ejpam-1352	170	3	the	the	DET
ejpam-1352	170	4	relation	relation	NOUN
ejpam-1352	170	5	between	between	ADP
ejpam-1352	170	6	the	the	DET
ejpam-1352	170	7	m	m	NOUN
ejpam-1352	170	8	-	-	ADJ
ejpam-1352	170	9	spotty	spotty	ADJ
ejpam-1352	170	10	hamming	hamming	NOUN
ejpam-1352	170	11	enumerator	enumerator	NOUN
ejpam-1352	170	12	of	of	ADP
ejpam-1352	170	13	the	the	DET
ejpam-1352	170	14	code	code	NOUN
ejpam-1352	170	15	and	and	CCONJ
ejpam-1352	170	16	that	that	PRON
ejpam-1352	170	17	of	of	ADP
ejpam-1352	170	18	the	the	DET
ejpam-1352	170	19	dual	dual	ADJ
ejpam-1352	170	20	code	code	NOUN
ejpam-1352	170	21	.	.	PUNCT
ejpam-1352	171	1	references	reference	NOUN
ejpam-1352	171	2	[	[	X
ejpam-1352	171	3	1	1	X
ejpam-1352	171	4	]	]	X
ejpam-1352	171	5	i	i	PROPN
ejpam-1352	171	6	şiap	şiap	PROPN
ejpam-1352	171	7	.	.	PUNCT
ejpam-1352	172	1	an	an	DET
ejpam-1352	172	2	identity	identity	NOUN
ejpam-1352	172	3	between	between	ADP
ejpam-1352	172	4	the	the	DET
ejpam-1352	172	5	m	m	NOUN
ejpam-1352	172	6	-	-	ADJ
ejpam-1352	172	7	spotty	spotty	ADJ
ejpam-1352	172	8	weight	weight	NOUN
ejpam-1352	172	9	enumerators	enumerator	NOUN
ejpam-1352	172	10	of	of	ADP
ejpam-1352	172	11	a	a	DET
ejpam-1352	172	12	linear	linear	ADJ
ejpam-1352	172	13	code	code	NOUN
ejpam-1352	172	14	and	and	CCONJ
ejpam-1352	172	15	its	its	PRON
ejpam-1352	172	16	dual	dual	ADJ
ejpam-1352	172	17	.	.	PUNCT
ejpam-1352	173	1	turkish	turkish	ADJ
ejpam-1352	173	2	journal	journal	NOUN
ejpam-1352	173	3	of	of	ADP
ejpam-1352	173	4	mathematics	mathematics	PROPN
ejpam-1352	173	5	,	,	PUNCT
ejpam-1352	173	6	tbd	tbd	PROPN
ejpam-1352	173	7	,	,	PUNCT
ejpam-1352	173	8	accepted	accept	VERB
ejpam-1352	173	9	in	in	ADP
ejpam-1352	173	10	2011	2011	NUM
ejpam-1352	173	11	.	.	PUNCT
ejpam-1352	174	1	[	[	X
ejpam-1352	174	2	2	2	NUM
ejpam-1352	174	3	]	]	SYM
ejpam-1352	174	4	f	f	PROPN
ejpam-1352	174	5	j	j	PROPN
ejpam-1352	174	6	macwilliams	macwilliams	PROPN
ejpam-1352	174	7	.	.	PUNCT
ejpam-1352	175	1	a	a	DET
ejpam-1352	175	2	theorem	theorem	NOUN
ejpam-1352	175	3	on	on	ADP
ejpam-1352	175	4	the	the	DET
ejpam-1352	175	5	distribution	distribution	NOUN
ejpam-1352	175	6	of	of	ADP
ejpam-1352	175	7	weights	weight	NOUN
ejpam-1352	175	8	in	in	ADP
ejpam-1352	175	9	a	a	DET
ejpam-1352	175	10	systematic	systematic	ADJ
ejpam-1352	175	11	code	code	NOUN
ejpam-1352	175	12	.	.	PUNCT
ejpam-1352	176	1	bell	bell	NOUN
ejpam-1352	176	2	system	system	NOUN
ejpam-1352	176	3	tech	tech	NOUN
ejpam-1352	176	4	.	.	PUNCT
ejpam-1352	177	1	j.	j.	PROPN
ejpam-1352	177	2	,	,	PUNCT
ejpam-1352	177	3	42:79–94	42:79–94	PROPN
ejpam-1352	177	4	,	,	PUNCT
ejpam-1352	177	5	1963	1963	NUM
ejpam-1352	177	6	.	.	PUNCT
ejpam-1352	178	1	[	[	X
ejpam-1352	178	2	3	3	X
ejpam-1352	178	3	]	]	X
ejpam-1352	178	4	f	f	PROPN
ejpam-1352	178	5	j	j	PROPN
ejpam-1352	178	6	macwilliams	macwilliams	PROPN
ejpam-1352	178	7	and	and	CCONJ
ejpam-1352	178	8	n	n	PRON
ejpam-1352	178	9	j	j	PROPN
ejpam-1352	178	10	sloane	sloane	NOUN
ejpam-1352	178	11	.	.	PUNCT
ejpam-1352	179	1	the	the	DET
ejpam-1352	179	2	theory	theory	NOUN
ejpam-1352	179	3	of	of	ADP
ejpam-1352	179	4	error	error	NOUN
ejpam-1352	179	5	-	-	PUNCT
ejpam-1352	179	6	correcting	correct	VERB
ejpam-1352	179	7	codes	code	NOUN
ejpam-1352	179	8	.	.	PUNCT
ejpam-1352	180	1	north	north	NOUN
ejpam-1352	180	2	-	-	PUNCT
ejpam-1352	180	3	holland	holland	PROPN
ejpam-1352	180	4	publishing	publishing	PROPN
ejpam-1352	180	5	co.	co.	PROPN
ejpam-1352	180	6	,	,	PUNCT
ejpam-1352	180	7	1977	1977	NUM
ejpam-1352	180	8	.	.	PUNCT
ejpam-1352	181	1	[	[	X
ejpam-1352	181	2	4	4	X
ejpam-1352	181	3	]	]	PUNCT
ejpam-1352	181	4	m	m	VERB
ejpam-1352	181	5	özen	özen	NOUN
ejpam-1352	181	6	and	and	CCONJ
ejpam-1352	181	7	v	v	ADP
ejpam-1352	181	8	şiap	şiap	PROPN
ejpam-1352	181	9	.	.	PUNCT
ejpam-1352	182	1	the	the	DET
ejpam-1352	182	2	macwilliams	macwilliam	NOUN
ejpam-1352	182	3	identity	identity	NOUN
ejpam-1352	182	4	for	for	ADP
ejpam-1352	182	5	m	m	ADJ
ejpam-1352	182	6	-	-	ADJ
ejpam-1352	182	7	spotty	spotty	ADJ
ejpam-1352	182	8	weight	weight	NOUN
ejpam-1352	182	9	enumerators	enumerator	NOUN
ejpam-1352	182	10	of	of	ADP
ejpam-1352	182	11	linear	linear	PROPN
ejpam-1352	182	12	codes	code	NOUN
ejpam-1352	182	13	over	over	ADP
ejpam-1352	182	14	finite	finite	ADJ
ejpam-1352	182	15	fields	field	NOUN
ejpam-1352	182	16	.	.	PUNCT
ejpam-1352	183	1	comput	comput	NOUN
ejpam-1352	183	2	.	.	PUNCT
ejpam-1352	184	1	math	math	NOUN
ejpam-1352	184	2	.	.	PUNCT
ejpam-1352	185	1	appl	appl	PROPN
ejpam-1352	185	2	.	.	PROPN
ejpam-1352	185	3	,	,	PUNCT
ejpam-1352	186	1	61(4):1000–1004	61(4):1000–1004	NUM
ejpam-1352	186	2	,	,	PUNCT
ejpam-1352	186	3	2011	2011	NUM
ejpam-1352	186	4	.	.	PUNCT
ejpam-1352	187	1	[	[	X
ejpam-1352	187	2	5	5	NUM
ejpam-1352	187	3	]	]	X
ejpam-1352	187	4	k	k	PROPN
ejpam-1352	187	5	suzuki	suzuki	PROPN
ejpam-1352	187	6	and	and	CCONJ
ejpam-1352	187	7	e	e	PROPN
ejpam-1352	187	8	fujiwara	fujiwara	PROPN
ejpam-1352	187	9	.	.	PUNCT
ejpam-1352	188	1	macwilliams	macwilliam	NOUN
ejpam-1352	188	2	identity	identity	NOUN
ejpam-1352	188	3	for	for	ADP
ejpam-1352	188	4	m	m	ADJ
ejpam-1352	188	5	-	-	ADJ
ejpam-1352	188	6	spotty	spotty	ADJ
ejpam-1352	188	7	weight	weight	NOUN
ejpam-1352	188	8	enumerator	enumerator	NOUN
ejpam-1352	188	9	.	.	PUNCT
ejpam-1352	189	1	ieice	ieice	NOUN
ejpam-1352	189	2	transactions	transaction	NOUN
ejpam-1352	189	3	,	,	PUNCT
ejpam-1352	189	4	e93	e93	PROPN
ejpam-1352	189	5	-	-	PUNCT
ejpam-1352	189	6	a(2):526–531	a(2):526–531	PROPN
ejpam-1352	189	7	,	,	PUNCT
ejpam-1352	189	8	2010	2010	NUM
ejpam-1352	189	9	.	.	PUNCT
ejpam-1352	190	1	[	[	X
ejpam-1352	190	2	6	6	NUM
ejpam-1352	190	3	]	]	X
ejpam-1352	190	4	k	k	PROPN
ejpam-1352	190	5	suzuki	suzuki	PROPN
ejpam-1352	190	6	,	,	PUNCT
ejpam-1352	190	7	t	t	PROPN
ejpam-1352	190	8	kashiyama	kashiyama	PROPN
ejpam-1352	190	9	,	,	PUNCT
ejpam-1352	190	10	and	and	CCONJ
ejpam-1352	190	11	e	e	NOUN
ejpam-1352	190	12	fujiwara	fujiwara	NOUN
ejpam-1352	190	13	.	.	PUNCT
ejpam-1352	191	1	a	a	DET
ejpam-1352	191	2	general	general	ADJ
ejpam-1352	191	3	class	class	NOUN
ejpam-1352	191	4	of	of	ADP
ejpam-1352	191	5	m	m	PROPN
ejpam-1352	191	6	-	-	ADJ
ejpam-1352	191	7	spotty	spotty	ADJ
ejpam-1352	191	8	byte	byte	NOUN
ejpam-1352	191	9	error	error	NOUN
ejpam-1352	191	10	control	control	NOUN
ejpam-1352	191	11	codes	code	NOUN
ejpam-1352	191	12	.	.	PUNCT
ejpam-1352	192	1	ieice	ieice	NOUN
ejpam-1352	192	2	transactions	transaction	NOUN
ejpam-1352	192	3	,	,	PUNCT
ejpam-1352	192	4	90	90	NUM
ejpam-1352	192	5	-	-	PUNCT
ejpam-1352	192	6	a(7):1418–1427	a(7):1418–1427	NOUN
ejpam-1352	192	7	,	,	PUNCT
ejpam-1352	192	8	2007	2007	NUM
ejpam-1352	192	9	.	.	PUNCT
ejpam-1352	193	1	[	[	X
ejpam-1352	193	2	7	7	X
ejpam-1352	193	3	]	]	X
ejpam-1352	193	4	g	g	PROPN
ejpam-1352	193	5	umanesan	umanesan	NOUN
ejpam-1352	193	6	and	and	CCONJ
ejpam-1352	193	7	e	e	NOUN
ejpam-1352	193	8	fujiwara	fujiwara	NOUN
ejpam-1352	193	9	.	.	PUNCT
ejpam-1352	194	1	a	a	DET
ejpam-1352	194	2	class	class	NOUN
ejpam-1352	194	3	of	of	ADP
ejpam-1352	194	4	random	random	ADJ
ejpam-1352	194	5	multiple	multiple	ADJ
ejpam-1352	194	6	bits	bit	NOUN
ejpam-1352	194	7	in	in	ADP
ejpam-1352	194	8	a	a	DET
ejpam-1352	194	9	byte	byte	NOUN
ejpam-1352	194	10	error	error	NOUN
ejpam-1352	194	11	correcting	correcting	NOUN
ejpam-1352	194	12	and	and	CCONJ
ejpam-1352	194	13	single	single	ADJ
ejpam-1352	194	14	byte	byte	NOUN
ejpam-1352	194	15	error	error	NOUN
ejpam-1352	194	16	detecting	detecting	NOUN
ejpam-1352	194	17	codes	code	NOUN
ejpam-1352	194	18	.	.	PUNCT
ejpam-1352	195	1	ieee	ieee	PROPN
ejpam-1352	195	2	trans	trans	PROPN
ejpam-1352	195	3	.	.	PUNCT
ejpam-1352	196	1	computers	computer	NOUN
ejpam-1352	196	2	,	,	PUNCT
ejpam-1352	196	3	52(7):835–847	52(7):835–847	PROPN
ejpam-1352	196	4	,	,	PUNCT
ejpam-1352	196	5	2003	2003	NUM
ejpam-1352	196	6	.	.	PUNCT