id	sid	tid	token	lemma	pos
ejpam-5873	1	1	european	european	PROPN
ejpam-5873	1	2	journal	journal	PROPN
ejpam-5873	1	3	of	of	ADP
ejpam-5873	1	4	pure	pure	ADJ
ejpam-5873	1	5	and	and	CCONJ
ejpam-5873	1	6	applied	applied	ADJ
ejpam-5873	1	7	mathematics	mathematic	NOUN
ejpam-5873	1	8	2025	2025	NUM
ejpam-5873	1	9	,	,	PUNCT
ejpam-5873	1	10	vol	vol	NOUN
ejpam-5873	1	11	.	.	PROPN
ejpam-5873	1	12	18	18	NUM
ejpam-5873	1	13	,	,	PUNCT
ejpam-5873	1	14	issue	issue	NOUN
ejpam-5873	1	15	2	2	NUM
ejpam-5873	1	16	,	,	PUNCT
ejpam-5873	1	17	article	article	NOUN
ejpam-5873	1	18	number	number	NOUN
ejpam-5873	1	19	5873	5873	NUM
ejpam-5873	1	20	issn	issn	PROPN
ejpam-5873	1	21	1307	1307	NUM
ejpam-5873	1	22	-	-	SYM
ejpam-5873	1	23	5543	5543	NUM
ejpam-5873	1	24	–	–	PUNCT
ejpam-5873	1	25	ejpam.com	ejpam.com	X
ejpam-5873	1	26	published	publish	VERB
ejpam-5873	1	27	by	by	ADP
ejpam-5873	1	28	new	new	PROPN
ejpam-5873	1	29	york	york	PROPN
ejpam-5873	1	30	business	business	PROPN
ejpam-5873	1	31	global	global	ADJ
ejpam-5873	1	32	peak	peak	NOUN
ejpam-5873	1	33	-	-	PUNCT
ejpam-5873	1	34	shift	shift	NOUN
ejpam-5873	1	35	control	control	NOUN
ejpam-5873	1	36	codes	code	NOUN
ejpam-5873	1	37	for	for	ADP
ejpam-5873	1	38	the	the	DET
ejpam-5873	1	39	l1	l1	PROPN
ejpam-5873	1	40	metric	metric	PROPN
ejpam-5873	1	41	nawaf	nawaf	PROPN
ejpam-5873	1	42	a.	a.	PROPN
ejpam-5873	1	43	alqwaifly	alqwaifly	PROPN
ejpam-5873	1	44	department	department	PROPN
ejpam-5873	1	45	of	of	ADP
ejpam-5873	1	46	electrical	electrical	ADJ
ejpam-5873	1	47	engineering	engineering	NOUN
ejpam-5873	1	48	,	,	PUNCT
ejpam-5873	1	49	college	college	NOUN
ejpam-5873	1	50	of	of	ADP
ejpam-5873	1	51	engineering	engineering	PROPN
ejpam-5873	1	52	,	,	PUNCT
ejpam-5873	1	53	qassim	qassim	PROPN
ejpam-5873	1	54	university	university	PROPN
ejpam-5873	1	55	,	,	PUNCT
ejpam-5873	1	56	buraydah	buraydah	PROPN
ejpam-5873	1	57	,	,	PUNCT
ejpam-5873	1	58	saudi	saudi	PROPN
ejpam-5873	1	59	arabia	arabia	PROPN
ejpam-5873	1	60	abstract	abstract	NOUN
ejpam-5873	1	61	.	.	PUNCT
ejpam-5873	2	1	we	we	PRON
ejpam-5873	2	2	propose	propose	VERB
ejpam-5873	2	3	a	a	DET
ejpam-5873	2	4	new	new	ADJ
ejpam-5873	2	5	efficient	efficient	ADJ
ejpam-5873	2	6	design	design	NOUN
ejpam-5873	2	7	of	of	ADP
ejpam-5873	2	8	q	q	ADJ
ejpam-5873	2	9	-	-	ADJ
ejpam-5873	2	10	ary	ary	ADJ
ejpam-5873	2	11	block	block	NOUN
ejpam-5873	2	12	codes	code	NOUN
ejpam-5873	2	13	capable	capable	ADJ
ejpam-5873	2	14	of	of	ADP
ejpam-5873	2	15	controlling	control	VERB
ejpam-5873	2	16	single	single	ADJ
ejpam-5873	2	17	peak	peak	NOUN
ejpam-5873	2	18	shifts	shift	NOUN
ejpam-5873	2	19	of	of	ADP
ejpam-5873	2	20	one	one	NUM
ejpam-5873	2	21	direction	direction	NOUN
ejpam-5873	2	22	(	(	PUNCT
ejpam-5873	2	23	left	left	ADJ
ejpam-5873	2	24	or	or	CCONJ
ejpam-5873	2	25	right	right	ADJ
ejpam-5873	2	26	shift	shift	NOUN
ejpam-5873	2	27	)	)	PUNCT
ejpam-5873	2	28	of	of	ADP
ejpam-5873	2	29	size	size	NOUN
ejpam-5873	2	30	l.	l.	PROPN
ejpam-5873	2	31	the	the	DET
ejpam-5873	2	32	proposed	propose	VERB
ejpam-5873	2	33	design	design	NOUN
ejpam-5873	2	34	is	be	AUX
ejpam-5873	2	35	based	base	VERB
ejpam-5873	2	36	on	on	ADP
ejpam-5873	2	37	elementary	elementary	ADJ
ejpam-5873	2	38	symmetric	symmetric	ADJ
ejpam-5873	2	39	functions	function	NOUN
ejpam-5873	2	40	.	.	PUNCT
ejpam-5873	3	1	we	we	PRON
ejpam-5873	3	2	show	show	VERB
ejpam-5873	3	3	that	that	SCONJ
ejpam-5873	3	4	the	the	DET
ejpam-5873	3	5	problem	problem	NOUN
ejpam-5873	3	6	of	of	ADP
ejpam-5873	3	7	controlling	control	VERB
ejpam-5873	3	8	the	the	DET
ejpam-5873	3	9	ll(lr)-peak	ll(lr)-peak	NOUN
ejpam-5873	3	10	shift	shift	NOUN
ejpam-5873	3	11	is	be	AUX
ejpam-5873	3	12	equivalent	equivalent	ADJ
ejpam-5873	3	13	to	to	ADP
ejpam-5873	3	14	the	the	DET
ejpam-5873	3	15	efficient	efficient	ADJ
ejpam-5873	3	16	design	design	NOUN
ejpam-5873	3	17	of	of	ADP
ejpam-5873	3	18	some	some	DET
ejpam-5873	3	19	l1	l1	PROPN
ejpam-5873	3	20	metric	metric	PROPN
ejpam-5873	3	21	asymmetric	asymmetric	PROPN
ejpam-5873	3	22	error	error	NOUN
ejpam-5873	3	23	control	control	NOUN
ejpam-5873	3	24	codes	code	NOUN
ejpam-5873	3	25	on	on	ADP
ejpam-5873	3	26	the	the	DET
ejpam-5873	3	27	natural	natural	ADJ
ejpam-5873	3	28	alphabet	alphabet	PROPN
ejpam-5873	3	29	n.	n.	NOUN
ejpam-5873	3	30	from	from	ADP
ejpam-5873	3	31	the	the	DET
ejpam-5873	3	32	relations	relation	NOUN
ejpam-5873	3	33	with	with	ADP
ejpam-5873	3	34	the	the	DET
ejpam-5873	3	35	l1	l1	PROPN
ejpam-5873	3	36	distance	distance	NOUN
ejpam-5873	3	37	error	error	NOUN
ejpam-5873	3	38	control	control	NOUN
ejpam-5873	3	39	codes	code	NOUN
ejpam-5873	3	40	and	and	CCONJ
ejpam-5873	3	41	constant	constant	ADJ
ejpam-5873	3	42	weight	weight	NOUN
ejpam-5873	3	43	codes	code	NOUN
ejpam-5873	3	44	,	,	PUNCT
ejpam-5873	3	45	new	new	ADJ
ejpam-5873	3	46	improved	improve	VERB
ejpam-5873	3	47	upper	upper	ADJ
ejpam-5873	3	48	and	and	CCONJ
ejpam-5873	3	49	lower	low	ADJ
ejpam-5873	3	50	bounds	bound	NOUN
ejpam-5873	3	51	on	on	ADP
ejpam-5873	3	52	the	the	DET
ejpam-5873	3	53	size	size	NOUN
ejpam-5873	3	54	of	of	ADP
ejpam-5873	3	55	the	the	DET
ejpam-5873	3	56	optimal	optimal	ADJ
ejpam-5873	3	57	single	single	ADJ
ejpam-5873	3	58	ll(lr)-peak	ll(lr)-peak	NOUN
ejpam-5873	3	59	shift	shift	NOUN
ejpam-5873	3	60	error	error	NOUN
ejpam-5873	3	61	correcting	correct	VERB
ejpam-5873	3	62	codes	code	NOUN
ejpam-5873	3	63	are	be	AUX
ejpam-5873	3	64	given	give	VERB
ejpam-5873	3	65	.	.	PUNCT
ejpam-5873	4	1	furthermore	furthermore	ADV
ejpam-5873	4	2	,	,	PUNCT
ejpam-5873	4	3	some	some	DET
ejpam-5873	4	4	non	non	ADJ
ejpam-5873	4	5	-	-	ADJ
ejpam-5873	4	6	systematic	systematic	ADJ
ejpam-5873	4	7	code	code	NOUN
ejpam-5873	4	8	designs	design	NOUN
ejpam-5873	4	9	are	be	AUX
ejpam-5873	4	10	also	also	ADV
ejpam-5873	4	11	given	give	VERB
ejpam-5873	4	12	.	.	PUNCT
ejpam-5873	5	1	decoding	decode	VERB
ejpam-5873	5	2	can	can	AUX
ejpam-5873	5	3	be	be	AUX
ejpam-5873	5	4	efficiently	efficiently	ADV
ejpam-5873	5	5	performed	perform	VERB
ejpam-5873	5	6	by	by	ADP
ejpam-5873	5	7	algebraic	algebraic	ADJ
ejpam-5873	5	8	means	mean	NOUN
ejpam-5873	5	9	with	with	ADP
ejpam-5873	5	10	the	the	DET
ejpam-5873	5	11	extended	extended	ADJ
ejpam-5873	5	12	euclidean	euclidean	ADJ
ejpam-5873	5	13	algorithm	algorithm	NOUN
ejpam-5873	5	14	.	.	PUNCT
ejpam-5873	6	1	2020	2020	NUM
ejpam-5873	6	2	mathematics	mathematic	NOUN
ejpam-5873	6	3	subject	subject	NOUN
ejpam-5873	6	4	classifications	classification	NOUN
ejpam-5873	6	5	:	:	PUNCT
ejpam-5873	6	6	11t71	11t71	NUM
ejpam-5873	6	7	,	,	PUNCT
ejpam-5873	6	8	14g50	14g50	NUM
ejpam-5873	6	9	,	,	PUNCT
ejpam-5873	6	10	94a60	94a60	NUM
ejpam-5873	6	11	key	key	ADJ
ejpam-5873	6	12	words	word	NOUN
ejpam-5873	6	13	and	and	CCONJ
ejpam-5873	6	14	phrases	phrase	NOUN
ejpam-5873	6	15	:	:	PUNCT
ejpam-5873	6	16	recording	recording	NOUN
ejpam-5873	6	17	codes	code	NOUN
ejpam-5873	6	18	,	,	PUNCT
ejpam-5873	6	19	peak	peak	NOUN
ejpam-5873	6	20	-	-	PUNCT
ejpam-5873	6	21	shift	shift	NOUN
ejpam-5873	6	22	correction	correction	NOUN
ejpam-5873	6	23	,	,	PUNCT
ejpam-5873	6	24	l1	l1	PROPN
ejpam-5873	6	25	distance	distance	NOUN
ejpam-5873	6	26	,	,	PUNCT
ejpam-5873	6	27	asymmetric	asymmetric	ADJ
ejpam-5873	6	28	distance	distance	NOUN
ejpam-5873	6	29	,	,	PUNCT
ejpam-5873	6	30	elementary	elementary	ADJ
ejpam-5873	6	31	symmetric	symmetric	ADJ
ejpam-5873	6	32	functions	function	NOUN
ejpam-5873	6	33	,	,	PUNCT
ejpam-5873	6	34	constant	constant	ADJ
ejpam-5873	6	35	weight	weight	NOUN
ejpam-5873	6	36	codes	code	NOUN
ejpam-5873	6	37	,	,	PUNCT
ejpam-5873	6	38	design	design	NOUN
ejpam-5873	6	39	,	,	PUNCT
ejpam-5873	6	40	algorithm	algorithm	NOUN
ejpam-5873	6	41	1	1	NUM
ejpam-5873	6	42	.	.	PUNCT
ejpam-5873	7	1	introduction	introduction	NOUN
ejpam-5873	7	2	in	in	ADP
ejpam-5873	7	3	high	high	ADJ
ejpam-5873	7	4	density	density	NOUN
ejpam-5873	7	5	magnetic	magnetic	ADJ
ejpam-5873	7	6	recording	recording	NOUN
ejpam-5873	7	7	systems	system	NOUN
ejpam-5873	7	8	,	,	PUNCT
ejpam-5873	7	9	peak	peak	NOUN
ejpam-5873	7	10	-	-	PUNCT
ejpam-5873	7	11	shifts	shift	NOUN
ejpam-5873	7	12	(	(	PUNCT
ejpam-5873	7	13	or	or	CCONJ
ejpam-5873	7	14	bit	bit	NOUN
ejpam-5873	7	15	-	-	PUNCT
ejpam-5873	7	16	shifts	shift	NOUN
ejpam-5873	7	17	)	)	PUNCT
ejpam-5873	7	18	and	and	CCONJ
ejpam-5873	7	19	randomly	randomly	ADV
ejpam-5873	7	20	generated	generate	VERB
ejpam-5873	7	21	errors	error	NOUN
ejpam-5873	7	22	are	be	AUX
ejpam-5873	7	23	considered	consider	VERB
ejpam-5873	7	24	to	to	PART
ejpam-5873	7	25	be	be	AUX
ejpam-5873	7	26	one	one	NUM
ejpam-5873	7	27	of	of	ADP
ejpam-5873	7	28	the	the	DET
ejpam-5873	7	29	major	major	ADJ
ejpam-5873	7	30	impairments	impairment	NOUN
ejpam-5873	7	31	responsible	responsible	ADJ
ejpam-5873	7	32	for	for	ADP
ejpam-5873	7	33	most	most	ADJ
ejpam-5873	7	34	of	of	ADP
ejpam-5873	7	35	the	the	DET
ejpam-5873	7	36	errors	error	NOUN
ejpam-5873	8	1	[	[	X
ejpam-5873	8	2	1],[2	1],[2	NOUN
ejpam-5873	8	3	]	]	PUNCT
ejpam-5873	8	4	.	.	PUNCT
ejpam-5873	9	1	initially	initially	ADV
ejpam-5873	9	2	,	,	PUNCT
ejpam-5873	9	3	kuznetsov	kuznetsov	PROPN
ejpam-5873	9	4	and	and	CCONJ
ejpam-5873	9	5	han	han	PROPN
ejpam-5873	9	6	vinck	vinck	PROPN
ejpam-5873	10	1	[	[	X
ejpam-5873	10	2	3	3	X
ejpam-5873	10	3	]	]	X
ejpam-5873	10	4	related	relate	VERB
ejpam-5873	10	5	the	the	DET
ejpam-5873	10	6	problem	problem	NOUN
ejpam-5873	10	7	of	of	ADP
ejpam-5873	10	8	peak	peak	NOUN
ejpam-5873	10	9	-	-	PUNCT
ejpam-5873	10	10	shift	shift	NOUN
ejpam-5873	10	11	correction	correction	NOUN
ejpam-5873	10	12	to	to	ADP
ejpam-5873	10	13	the	the	DET
ejpam-5873	10	14	construction	construction	NOUN
ejpam-5873	10	15	of	of	ADP
ejpam-5873	10	16	block	block	NOUN
ejpam-5873	10	17	codes	code	NOUN
ejpam-5873	10	18	over	over	ADP
ejpam-5873	10	19	the	the	DET
ejpam-5873	10	20	ring	ring	NOUN
ejpam-5873	10	21	of	of	ADP
ejpam-5873	10	22	integers	integer	NOUN
ejpam-5873	10	23	modulo	modulo	PROPN
ejpam-5873	10	24	q.	q.	NOUN
ejpam-5873	10	25	these	these	DET
ejpam-5873	10	26	codes	code	NOUN
ejpam-5873	10	27	are	be	AUX
ejpam-5873	10	28	capable	capable	ADJ
ejpam-5873	10	29	of	of	ADP
ejpam-5873	10	30	correcting	correct	VERB
ejpam-5873	10	31	specific	specific	ADJ
ejpam-5873	10	32	types	type	NOUN
ejpam-5873	10	33	of	of	ADP
ejpam-5873	10	34	double	double	ADJ
ejpam-5873	10	35	errors	error	NOUN
ejpam-5873	10	36	caused	cause	VERB
ejpam-5873	10	37	by	by	ADP
ejpam-5873	10	38	single	single	ADJ
ejpam-5873	10	39	peak	peak	NOUN
ejpam-5873	10	40	-	-	PUNCT
ejpam-5873	10	41	shifts	shift	NOUN
ejpam-5873	10	42	.	.	PUNCT
ejpam-5873	11	1	the	the	DET
ejpam-5873	11	2	research	research	NOUN
ejpam-5873	11	3	was	be	AUX
ejpam-5873	11	4	exponentially	exponentially	ADV
ejpam-5873	11	5	propelled	propel	VERB
ejpam-5873	11	6	when	when	SCONJ
ejpam-5873	11	7	levenshtein	levenshtein	PROPN
ejpam-5873	11	8	and	and	CCONJ
ejpam-5873	11	9	han	han	PROPN
ejpam-5873	11	10	vinck	vinck	PROPN
ejpam-5873	11	11	proposed	propose	VERB
ejpam-5873	11	12	a	a	DET
ejpam-5873	11	13	code	code	NOUN
ejpam-5873	11	14	that	that	PRON
ejpam-5873	11	15	can	can	AUX
ejpam-5873	11	16	correct	correct	VERB
ejpam-5873	11	17	a	a	DET
ejpam-5873	11	18	single	single	ADJ
ejpam-5873	11	19	peak	peak	NOUN
ejpam-5873	11	20	-	-	PUNCT
ejpam-5873	11	21	shift	shift	NOUN
ejpam-5873	11	22	of	of	ADP
ejpam-5873	11	23	size	size	NOUN
ejpam-5873	11	24	l	l	NOUN
ejpam-5873	12	1	[	[	X
ejpam-5873	12	2	4	4	NUM
ejpam-5873	12	3	]	]	PUNCT
ejpam-5873	12	4	.	.	PUNCT
ejpam-5873	13	1	they	they	PRON
ejpam-5873	13	2	proposed	propose	VERB
ejpam-5873	13	3	perfect	perfect	ADJ
ejpam-5873	13	4	(	(	PUNCT
ejpam-5873	13	5	d	d	NOUN
ejpam-5873	13	6	,	,	PUNCT
ejpam-5873	13	7	k)-codes	k)-code	NOUN
ejpam-5873	13	8	capable	capable	ADJ
ejpam-5873	13	9	of	of	ADP
ejpam-5873	13	10	correcting	correct	VERB
ejpam-5873	13	11	peak	peak	NOUN
ejpam-5873	13	12	-	-	PUNCT
ejpam-5873	13	13	shift	shift	NOUN
ejpam-5873	13	14	of	of	ADP
ejpam-5873	13	15	size	size	NOUN
ejpam-5873	13	16	l	l	NOUN
ejpam-5873	13	17	using	use	VERB
ejpam-5873	13	18	weight	weight	NOUN
ejpam-5873	13	19	sequences	sequence	NOUN
ejpam-5873	13	20	in	in	ADP
ejpam-5873	13	21	abelian	abelian	ADJ
ejpam-5873	13	22	groups	group	NOUN
ejpam-5873	13	23	.	.	PUNCT
ejpam-5873	14	1	klove	klove	NOUN
ejpam-5873	15	1	[	[	X
ejpam-5873	15	2	5	5	NUM
ejpam-5873	15	3	]	]	PUNCT
ejpam-5873	15	4	proposed	propose	VERB
ejpam-5873	15	5	a	a	DET
ejpam-5873	15	6	special	special	ADJ
ejpam-5873	15	7	case	case	NOUN
ejpam-5873	15	8	of	of	ADP
ejpam-5873	15	9	the	the	DET
ejpam-5873	15	10	code	code	NOUN
ejpam-5873	15	11	in	in	ADP
ejpam-5873	15	12	[	[	X
ejpam-5873	15	13	4	4	NUM
ejpam-5873	15	14	]	]	PUNCT
ejpam-5873	15	15	and	and	CCONJ
ejpam-5873	15	16	can	can	AUX
ejpam-5873	15	17	correct	correct	VERB
ejpam-5873	15	18	a	a	DET
ejpam-5873	15	19	single	single	ADJ
ejpam-5873	15	20	peak	peak	NOUN
ejpam-5873	15	21	-	-	PUNCT
ejpam-5873	15	22	shift	shift	NOUN
ejpam-5873	15	23	or	or	CCONJ
ejpam-5873	15	24	an	an	DET
ejpam-5873	15	25	insertion	insertion	NOUN
ejpam-5873	15	26	of	of	ADP
ejpam-5873	15	27	a	a	DET
ejpam-5873	15	28	zero	zero	NUM
ejpam-5873	15	29	and	and	CCONJ
ejpam-5873	15	30	can	can	AUX
ejpam-5873	15	31	correct	correct	VERB
ejpam-5873	15	32	a	a	DET
ejpam-5873	15	33	single	single	ADJ
ejpam-5873	15	34	transition	transition	NOUN
ejpam-5873	15	35	or	or	CCONJ
ejpam-5873	15	36	transposition	transposition	NOUN
ejpam-5873	15	37	.	.	PUNCT
ejpam-5873	16	1	he	he	PRON
ejpam-5873	16	2	constructed	construct	VERB
ejpam-5873	16	3	a	a	DET
ejpam-5873	16	4	large	large	ADJ
ejpam-5873	16	5	class	class	NOUN
ejpam-5873	16	6	of	of	ADP
ejpam-5873	16	7	perfect	perfect	ADJ
ejpam-5873	16	8	constant	constant	ADJ
ejpam-5873	16	9	-	-	PUNCT
ejpam-5873	16	10	weight	weight	NOUN
ejpam-5873	16	11	codes	code	NOUN
ejpam-5873	16	12	which	which	PRON
ejpam-5873	16	13	can	can	AUX
ejpam-5873	16	14	correct	correct	VERB
ejpam-5873	16	15	a	a	DET
ejpam-5873	16	16	single	single	ADJ
ejpam-5873	16	17	insertion	insertion	NOUN
ejpam-5873	16	18	,	,	PUNCT
ejpam-5873	16	19	deletion	deletion	NOUN
ejpam-5873	16	20	,	,	PUNCT
ejpam-5873	16	21	or	or	CCONJ
ejpam-5873	16	22	peak	peak	NOUN
ejpam-5873	16	23	-	-	PUNCT
ejpam-5873	16	24	shift	shift	NOUN
ejpam-5873	16	25	.	.	PUNCT
ejpam-5873	17	1	both	both	PRON
ejpam-5873	18	1	[	[	X
ejpam-5873	18	2	4	4	NUM
ejpam-5873	18	3	]	]	PUNCT
ejpam-5873	18	4	,	,	PUNCT
ejpam-5873	18	5	[	[	X
ejpam-5873	18	6	5	5	NUM
ejpam-5873	18	7	]	]	PUNCT
ejpam-5873	18	8	restricted	restrict	VERB
ejpam-5873	18	9	their	their	PRON
ejpam-5873	18	10	attention	attention	NOUN
ejpam-5873	18	11	to	to	ADP
ejpam-5873	18	12	the	the	DET
ejpam-5873	18	13	prefect	prefect	NOUN
ejpam-5873	18	14	(	(	PUNCT
ejpam-5873	18	15	d	d	NOUN
ejpam-5873	18	16	,	,	PUNCT
ejpam-5873	18	17	k	k	NOUN
ejpam-5873	18	18	)	)	PUNCT
ejpam-5873	18	19	sequences	sequence	NOUN
ejpam-5873	18	20	,	,	PUNCT
ejpam-5873	18	21	since	since	SCONJ
ejpam-5873	18	22	many	many	ADJ
ejpam-5873	18	23	popular	popular	ADJ
ejpam-5873	18	24	recording	recording	NOUN
ejpam-5873	18	25	codes	code	NOUN
ejpam-5873	18	26	for	for	ADP
ejpam-5873	18	27	peak	peak	NOUN
ejpam-5873	18	28	detection	detection	NOUN
ejpam-5873	18	29	channels	channel	NOUN
ejpam-5873	18	30	fall	fall	VERB
ejpam-5873	18	31	into	into	ADP
ejpam-5873	18	32	the	the	DET
ejpam-5873	18	33	class	class	NOUN
ejpam-5873	18	34	of	of	ADP
ejpam-5873	18	35	(	(	PUNCT
ejpam-5873	18	36	d	d	PROPN
ejpam-5873	18	37	,	,	PUNCT
ejpam-5873	18	38	k	k	NOUN
ejpam-5873	18	39	)	)	PUNCT
ejpam-5873	18	40	sequences	sequence	NOUN
ejpam-5873	18	41	.	.	PUNCT
ejpam-5873	19	1	in	in	ADP
ejpam-5873	19	2	[	[	X
ejpam-5873	19	3	6	6	NUM
ejpam-5873	19	4	]	]	PUNCT
ejpam-5873	19	5	,	,	PUNCT
ejpam-5873	19	6	a	a	DET
ejpam-5873	19	7	new	new	ADJ
ejpam-5873	19	8	code	code	NOUN
ejpam-5873	19	9	design	design	NOUN
ejpam-5873	19	10	has	have	AUX
ejpam-5873	19	11	been	be	AUX
ejpam-5873	19	12	proposed	propose	VERB
ejpam-5873	19	13	that	that	SCONJ
ejpam-5873	19	14	can	can	AUX
ejpam-5873	19	15	correct	correct	VERB
ejpam-5873	19	16	insertions	insertion	NOUN
ejpam-5873	19	17	/	/	SYM
ejpam-5873	19	18	deletions	deletion	NOUN
ejpam-5873	19	19	of	of	ADP
ejpam-5873	19	20	the	the	DET
ejpam-5873	19	21	symbol	symbol	NOUN
ejpam-5873	19	22	0	0	PUNCT
ejpam-5873	19	23	using	use	VERB
ejpam-5873	19	24	the	the	DET
ejpam-5873	19	25	elementary	elementary	ADJ
ejpam-5873	19	26	symmetric	symmetric	ADJ
ejpam-5873	19	27	functions	function	NOUN
ejpam-5873	19	28	.	.	PUNCT
ejpam-5873	20	1	a	a	DET
ejpam-5873	20	2	proposed	propose	VERB
ejpam-5873	20	3	approach	approach	NOUN
ejpam-5873	20	4	using	use	VERB
ejpam-5873	20	5	coset	coset	NOUN
ejpam-5873	20	6	graphs	graph	NOUN
ejpam-5873	20	7	and	and	CCONJ
ejpam-5873	20	8	doi	doi	NOUN
ejpam-5873	20	9	:	:	PUNCT
ejpam-5873	20	10	https://doi.org/10.29020/nybg.ejpam.v18i2.5873	https://doi.org/10.29020/nybg.ejpam.v18i2.5873	DET
ejpam-5873	20	11	email	email	NOUN
ejpam-5873	20	12	address	address	NOUN
ejpam-5873	20	13	:	:	PUNCT
ejpam-5873	20	14	nkoiefly@qu.edu.sa	nkoiefly@qu.edu.sa	PROPN
ejpam-5873	20	15	(	(	PUNCT
ejpam-5873	20	16	n.	n.	NOUN
ejpam-5873	20	17	a.	a.	NOUN
ejpam-5873	20	18	alqwaifly	alqwaifly	PROPN
ejpam-5873	20	19	)	)	PUNCT
ejpam-5873	20	20	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-5873	20	21	1	1	NUM
ejpam-5873	20	22	copyright	copyright	NOUN
ejpam-5873	20	23	:	:	PUNCT
ejpam-5873	20	24	©	©	PROPN
ejpam-5873	20	25	2025	2025	NUM
ejpam-5873	20	26	the	the	DET
ejpam-5873	20	27	author(s	author(s	NOUN
ejpam-5873	20	28	)	)	PUNCT
ejpam-5873	20	29	.	.	PUNCT
ejpam-5873	21	1	(	(	PUNCT
ejpam-5873	21	2	cc	cc	NOUN
ejpam-5873	21	3	by	by	ADP
ejpam-5873	21	4	-	-	PUNCT
ejpam-5873	21	5	nc	nc	PROPN
ejpam-5873	21	6	4.0	4.0	NUM
ejpam-5873	21	7	)	)	PUNCT
ejpam-5873	21	8	n.	n.	NOUN
ejpam-5873	21	9	a.	a.	NOUN
ejpam-5873	21	10	alqwaifly	alqwaifly	PROPN
ejpam-5873	21	11	/	/	SYM
ejpam-5873	21	12	eur	eur	PROPN
ejpam-5873	21	13	.	.	PUNCT
ejpam-5873	22	1	j.	j.	PROPN
ejpam-5873	22	2	pure	pure	PROPN
ejpam-5873	22	3	appl	appl	PROPN
ejpam-5873	22	4	.	.	PROPN
ejpam-5873	22	5	math	math	PROPN
ejpam-5873	22	6	,	,	PUNCT
ejpam-5873	22	7	18	18	NUM
ejpam-5873	22	8	(	(	PUNCT
ejpam-5873	22	9	2	2	NUM
ejpam-5873	22	10	)	)	PUNCT
ejpam-5873	22	11	(	(	PUNCT
ejpam-5873	22	12	2025	2025	NUM
ejpam-5873	22	13	)	)	PUNCT
ejpam-5873	22	14	,	,	PUNCT
ejpam-5873	22	15	5873	5873	NUM
ejpam-5873	22	16	2	2	NUM
ejpam-5873	22	17	of	of	ADP
ejpam-5873	22	18	16	16	NUM
ejpam-5873	22	19	matrix	matrix	NOUN
ejpam-5873	22	20	operations	operation	NOUN
ejpam-5873	22	21	is	be	AUX
ejpam-5873	22	22	discussed	discuss	VERB
ejpam-5873	22	23	for	for	ADP
ejpam-5873	22	24	secure	secure	ADJ
ejpam-5873	22	25	communication	communication	NOUN
ejpam-5873	22	26	through	through	ADP
ejpam-5873	22	27	reliable	reliable	ADJ
ejpam-5873	22	28	s	s	PROPN
ejpam-5873	22	29	-	-	PUNCT
ejpam-5873	22	30	box	box	NOUN
ejpam-5873	22	31	design	design	NOUN
ejpam-5873	22	32	in	in	ADP
ejpam-5873	22	33	[	[	X
ejpam-5873	22	34	7	7	NUM
ejpam-5873	22	35	]	]	PUNCT
ejpam-5873	22	36	and	and	CCONJ
ejpam-5873	22	37	an	an	DET
ejpam-5873	22	38	efficient	efficient	ADJ
ejpam-5873	22	39	s	s	NOUN
ejpam-5873	22	40	-	-	PUNCT
ejpam-5873	22	41	box	box	NOUN
ejpam-5873	22	42	design	design	NOUN
ejpam-5873	22	43	scheme	scheme	NOUN
ejpam-5873	22	44	is	be	AUX
ejpam-5873	22	45	described	describe	VERB
ejpam-5873	22	46	for	for	ADP
ejpam-5873	22	47	image	image	NOUN
ejpam-5873	22	48	encryption	encryption	NOUN
ejpam-5873	22	49	based	base	VERB
ejpam-5873	22	50	on	on	ADP
ejpam-5873	22	51	the	the	DET
ejpam-5873	22	52	combination	combination	NOUN
ejpam-5873	22	53	of	of	ADP
ejpam-5873	22	54	a	a	DET
ejpam-5873	22	55	coset	coset	NOUN
ejpam-5873	22	56	graph	graph	NOUN
ejpam-5873	22	57	and	and	CCONJ
ejpam-5873	22	58	a	a	DET
ejpam-5873	22	59	matrix	matrix	NOUN
ejpam-5873	22	60	transformer	transformer	NOUN
ejpam-5873	22	61	in	in	ADP
ejpam-5873	22	62	[	[	X
ejpam-5873	22	63	8	8	NUM
ejpam-5873	22	64	]	]	PUNCT
ejpam-5873	22	65	.	.	PUNCT
ejpam-5873	23	1	in	in	ADP
ejpam-5873	23	2	this	this	DET
ejpam-5873	23	3	paper	paper	NOUN
ejpam-5873	23	4	,	,	PUNCT
ejpam-5873	23	5	we	we	PRON
ejpam-5873	23	6	are	be	AUX
ejpam-5873	23	7	interested	interested	ADJ
ejpam-5873	23	8	in	in	ADP
ejpam-5873	23	9	the	the	DET
ejpam-5873	23	10	efficient	efficient	ADJ
ejpam-5873	23	11	design	design	NOUN
ejpam-5873	23	12	of	of	ADP
ejpam-5873	23	13	q	q	ADJ
ejpam-5873	23	14	-	-	ADJ
ejpam-5873	23	15	ary	ary	ADJ
ejpam-5873	23	16	block	block	NOUN
ejpam-5873	23	17	codes	code	NOUN
ejpam-5873	23	18	that	that	PRON
ejpam-5873	23	19	are	be	AUX
ejpam-5873	23	20	capable	capable	ADJ
ejpam-5873	23	21	of	of	ADP
ejpam-5873	23	22	correcting	correct	VERB
ejpam-5873	23	23	a	a	DET
ejpam-5873	23	24	single	single	ADJ
ejpam-5873	23	25	left	left	NOUN
ejpam-5873	23	26	(	(	PUNCT
ejpam-5873	23	27	right	right	ADJ
ejpam-5873	23	28	)	)	PUNCT
ejpam-5873	23	29	peak	peak	NOUN
ejpam-5873	23	30	-	-	PUNCT
ejpam-5873	23	31	shifts	shift	NOUN
ejpam-5873	23	32	of	of	ADP
ejpam-5873	23	33	size	size	NOUN
ejpam-5873	23	34	l	l	NOUN
ejpam-5873	23	35	or	or	CCONJ
ejpam-5873	23	36	less	less	ADV
ejpam-5873	23	37	based	base	VERB
ejpam-5873	23	38	on	on	ADP
ejpam-5873	23	39	the	the	DET
ejpam-5873	23	40	proposed	propose	VERB
ejpam-5873	23	41	codes	code	NOUN
ejpam-5873	23	42	in	in	ADP
ejpam-5873	23	43	[	[	X
ejpam-5873	23	44	6	6	NUM
ejpam-5873	23	45	]	]	PUNCT
ejpam-5873	23	46	,	,	PUNCT
ejpam-5873	23	47	where	where	SCONJ
ejpam-5873	23	48	l∈n	l∈n	ADJ
ejpam-5873	23	49	.	.	PUNCT
ejpam-5873	24	1	peak	peak	NOUN
ejpam-5873	24	2	-	-	PUNCT
ejpam-5873	24	3	shift	shift	NOUN
ejpam-5873	24	4	errors	error	NOUN
ejpam-5873	24	5	represent	represent	VERB
ejpam-5873	24	6	a	a	DET
ejpam-5873	24	7	distinct	distinct	ADJ
ejpam-5873	24	8	form	form	NOUN
ejpam-5873	24	9	of	of	ADP
ejpam-5873	24	10	misalignment	misalignment	NOUN
ejpam-5873	24	11	of	of	ADP
ejpam-5873	24	12	symbol	symbol	NOUN
ejpam-5873	24	13	positions	position	NOUN
ejpam-5873	24	14	compared	compare	VERB
ejpam-5873	24	15	to	to	ADP
ejpam-5873	24	16	erased	erase	VERB
ejpam-5873	24	17	or	or	CCONJ
ejpam-5873	24	18	inserted	insert	VERB
ejpam-5873	24	19	errors	error	NOUN
ejpam-5873	24	20	,	,	PUNCT
ejpam-5873	24	21	where	where	SCONJ
ejpam-5873	24	22	the	the	DET
ejpam-5873	24	23	length	length	NOUN
ejpam-5873	24	24	of	of	ADP
ejpam-5873	24	25	the	the	DET
ejpam-5873	24	26	strings	string	NOUN
ejpam-5873	24	27	changes	change	NOUN
ejpam-5873	24	28	.	.	PUNCT
ejpam-5873	25	1	this	this	PRON
ejpam-5873	25	2	is	be	AUX
ejpam-5873	25	3	common	common	ADJ
ejpam-5873	25	4	in	in	ADP
ejpam-5873	25	5	applications	application	NOUN
ejpam-5873	25	6	like	like	ADP
ejpam-5873	25	7	magnetic	magnetic	ADJ
ejpam-5873	25	8	recording	recording	NOUN
ejpam-5873	25	9	,	,	PUNCT
ejpam-5873	25	10	dna	dna	NOUN
ejpam-5873	25	11	storage	storage	NOUN
ejpam-5873	25	12	and	and	CCONJ
ejpam-5873	25	13	sequencing	sequence	VERB
ejpam-5873	25	14	,	,	PUNCT
ejpam-5873	25	15	quantum	quantum	ADJ
ejpam-5873	25	16	communication	communication	NOUN
ejpam-5873	25	17	channels	channel	NOUN
ejpam-5873	25	18	,	,	PUNCT
ejpam-5873	25	19	etc	etc	X
ejpam-5873	25	20	.	.	X
ejpam-5873	26	1	although	although	SCONJ
ejpam-5873	26	2	numerous	numerous	ADJ
ejpam-5873	26	3	coding	coding	NOUN
ejpam-5873	26	4	techniques	technique	NOUN
ejpam-5873	26	5	for	for	ADP
ejpam-5873	26	6	peak	peak	NOUN
ejpam-5873	26	7	-	-	PUNCT
ejpam-5873	26	8	shift	shift	NOUN
ejpam-5873	26	9	error	error	NOUN
ejpam-5873	26	10	control	control	NOUN
ejpam-5873	26	11	exist	exist	VERB
ejpam-5873	26	12	in	in	ADP
ejpam-5873	26	13	the	the	DET
ejpam-5873	26	14	literature	literature	NOUN
ejpam-5873	26	15	,	,	PUNCT
ejpam-5873	26	16	the	the	DET
ejpam-5873	26	17	proposed	propose	VERB
ejpam-5873	26	18	coding	code	VERB
ejpam-5873	26	19	framework	framework	NOUN
ejpam-5873	26	20	is	be	AUX
ejpam-5873	26	21	different	different	ADJ
ejpam-5873	26	22	from	from	ADP
ejpam-5873	26	23	those	those	DET
ejpam-5873	26	24	techniques	technique	NOUN
ejpam-5873	26	25	by	by	ADP
ejpam-5873	26	26	implementing	implement	VERB
ejpam-5873	26	27	the	the	DET
ejpam-5873	26	28	constant	constant	ADJ
ejpam-5873	26	29	weight	weight	NOUN
ejpam-5873	26	30	codes	code	NOUN
ejpam-5873	26	31	and	and	CCONJ
ejpam-5873	26	32	elementary	elementary	ADJ
ejpam-5873	26	33	symmetric	symmetric	ADJ
ejpam-5873	26	34	functions	function	NOUN
ejpam-5873	26	35	.	.	PUNCT
ejpam-5873	27	1	it	it	PRON
ejpam-5873	27	2	is	be	AUX
ejpam-5873	27	3	a	a	DET
ejpam-5873	27	4	new	new	ADJ
ejpam-5873	27	5	approach	approach	NOUN
ejpam-5873	27	6	in	in	ADP
ejpam-5873	27	7	this	this	DET
ejpam-5873	27	8	area	area	NOUN
ejpam-5873	27	9	that	that	PRON
ejpam-5873	27	10	allows	allow	VERB
ejpam-5873	27	11	one	one	PRON
ejpam-5873	27	12	to	to	PART
ejpam-5873	27	13	handle	handle	VERB
ejpam-5873	27	14	ll(lr)-peak	ll(lr)-peak	NOUN
ejpam-5873	27	15	shift	shift	NOUN
ejpam-5873	27	16	errors	error	NOUN
ejpam-5873	27	17	by	by	ADP
ejpam-5873	27	18	utilizing	utilize	VERB
ejpam-5873	27	19	asymmetric	asymmetric	ADJ
ejpam-5873	27	20	distance	distance	NOUN
ejpam-5873	27	21	models	model	NOUN
ejpam-5873	27	22	.	.	PUNCT
ejpam-5873	28	1	it	it	PRON
ejpam-5873	28	2	opens	open	VERB
ejpam-5873	28	3	the	the	DET
ejpam-5873	28	4	door	door	NOUN
ejpam-5873	28	5	for	for	SCONJ
ejpam-5873	28	6	more	more	ADJ
ejpam-5873	28	7	researchers	researcher	NOUN
ejpam-5873	28	8	to	to	PART
ejpam-5873	28	9	look	look	VERB
ejpam-5873	28	10	at	at	ADP
ejpam-5873	28	11	the	the	DET
ejpam-5873	28	12	misalignment	misalignment	NOUN
ejpam-5873	28	13	of	of	ADP
ejpam-5873	28	14	symbol	symbol	NOUN
ejpam-5873	28	15	positions	position	NOUN
ejpam-5873	28	16	from	from	ADP
ejpam-5873	28	17	different	different	ADJ
ejpam-5873	28	18	perspectives	perspective	NOUN
ejpam-5873	28	19	and	and	CCONJ
ejpam-5873	28	20	might	might	AUX
ejpam-5873	28	21	lower	lower	VERB
ejpam-5873	28	22	the	the	DET
ejpam-5873	28	23	redundancy	redundancy	NOUN
ejpam-5873	28	24	requirements	requirement	NOUN
ejpam-5873	28	25	to	to	PART
ejpam-5873	28	26	detect	detect	VERB
ejpam-5873	28	27	errors	error	NOUN
ejpam-5873	28	28	and	and	CCONJ
ejpam-5873	28	29	eventually	eventually	ADV
ejpam-5873	28	30	correct	correct	VERB
ejpam-5873	28	31	them	they	PRON
ejpam-5873	28	32	.	.	PUNCT
ejpam-5873	29	1	in	in	ADP
ejpam-5873	29	2	this	this	DET
ejpam-5873	29	3	work	work	NOUN
ejpam-5873	29	4	,	,	PUNCT
ejpam-5873	29	5	we	we	PRON
ejpam-5873	29	6	use	use	VERB
ejpam-5873	29	7	l	l	NOUN
ejpam-5873	29	8	as	as	ADP
ejpam-5873	29	9	a	a	DET
ejpam-5873	29	10	representation	representation	NOUN
ejpam-5873	29	11	of	of	ADP
ejpam-5873	29	12	the	the	DET
ejpam-5873	29	13	peak	peak	NOUN
ejpam-5873	29	14	-	-	PUNCT
ejpam-5873	29	15	shift	shift	NOUN
ejpam-5873	29	16	error	error	NOUN
ejpam-5873	29	17	.	.	PUNCT
ejpam-5873	30	1	so	so	ADV
ejpam-5873	30	2	,	,	PUNCT
ejpam-5873	30	3	l	l	NOUN
ejpam-5873	30	4	can	can	AUX
ejpam-5873	30	5	be	be	AUX
ejpam-5873	30	6	a	a	DET
ejpam-5873	30	7	ll	ll	NOUN
ejpam-5873	30	8	peak	peak	NOUN
ejpam-5873	30	9	shift	shift	VERB
ejpam-5873	30	10	or	or	CCONJ
ejpam-5873	30	11	a	a	DET
ejpam-5873	30	12	lr	lr	NOUN
ejpam-5873	30	13	peak	peak	NOUN
ejpam-5873	30	14	shift	shift	NOUN
ejpam-5873	30	15	error	error	NOUN
ejpam-5873	30	16	,	,	PUNCT
ejpam-5873	30	17	where	where	SCONJ
ejpam-5873	30	18	ll	ll	AUX
ejpam-5873	30	19	and	and	CCONJ
ejpam-5873	30	20	lr	lr	PROPN
ejpam-5873	30	21	represent	represent	VERB
ejpam-5873	30	22	left	leave	VERB
ejpam-5873	30	23	and	and	CCONJ
ejpam-5873	30	24	right	right	ADJ
ejpam-5873	30	25	peak	peak	NOUN
ejpam-5873	30	26	-	-	PUNCT
ejpam-5873	30	27	shift	shift	NOUN
ejpam-5873	30	28	errors	error	NOUN
ejpam-5873	30	29	,	,	PUNCT
ejpam-5873	30	30	respectively	respectively	ADV
ejpam-5873	30	31	.	.	PUNCT
ejpam-5873	31	1	the	the	DET
ejpam-5873	31	2	main	main	ADJ
ejpam-5873	31	3	contributions	contribution	NOUN
ejpam-5873	31	4	of	of	ADP
ejpam-5873	31	5	this	this	DET
ejpam-5873	31	6	work	work	NOUN
ejpam-5873	31	7	are	be	AUX
ejpam-5873	31	8	as	as	SCONJ
ejpam-5873	31	9	follows	follow	VERB
ejpam-5873	31	10	.	.	PUNCT
ejpam-5873	32	1	(	(	PUNCT
ejpam-5873	32	2	i	i	NOUN
ejpam-5873	32	3	)	)	PUNCT
ejpam-5873	32	4	we	we	PRON
ejpam-5873	32	5	propose	propose	VERB
ejpam-5873	32	6	a	a	DET
ejpam-5873	32	7	new	new	ADJ
ejpam-5873	32	8	coding	code	VERB
ejpam-5873	32	9	framework	framework	NOUN
ejpam-5873	32	10	to	to	PART
ejpam-5873	32	11	handle	handle	VERB
ejpam-5873	32	12	ll(lr)-peak	ll(lr)-peak	NOUN
ejpam-5873	32	13	shift	shift	NOUN
ejpam-5873	32	14	errors	error	NOUN
ejpam-5873	32	15	using	use	VERB
ejpam-5873	32	16	constant	constant	ADJ
ejpam-5873	32	17	weight	weight	NOUN
ejpam-5873	32	18	codes	code	NOUN
ejpam-5873	32	19	and	and	CCONJ
ejpam-5873	32	20	elementary	elementary	ADJ
ejpam-5873	32	21	symmetric	symmetric	ADJ
ejpam-5873	32	22	functions	function	NOUN
ejpam-5873	32	23	.	.	PUNCT
ejpam-5873	33	1	(	(	PUNCT
ejpam-5873	33	2	ii	ii	X
ejpam-5873	33	3	)	)	PUNCT
ejpam-5873	33	4	we	we	PRON
ejpam-5873	33	5	show	show	VERB
ejpam-5873	33	6	that	that	SCONJ
ejpam-5873	33	7	the	the	DET
ejpam-5873	33	8	problem	problem	NOUN
ejpam-5873	33	9	of	of	ADP
ejpam-5873	33	10	controlling	control	VERB
ejpam-5873	33	11	the	the	DET
ejpam-5873	33	12	ll(lr)-peak	ll(lr)-peak	NOUN
ejpam-5873	33	13	shift	shift	NOUN
ejpam-5873	33	14	is	be	AUX
ejpam-5873	33	15	equivalent	equivalent	ADJ
ejpam-5873	33	16	to	to	ADP
ejpam-5873	33	17	the	the	DET
ejpam-5873	33	18	efficient	efficient	ADJ
ejpam-5873	33	19	design	design	NOUN
ejpam-5873	33	20	of	of	ADP
ejpam-5873	33	21	some	some	DET
ejpam-5873	33	22	l1	l1	PROPN
ejpam-5873	33	23	metric	metric	PROPN
ejpam-5873	33	24	asymmetric	asymmetric	PROPN
ejpam-5873	33	25	error	error	NOUN
ejpam-5873	33	26	control	control	NOUN
ejpam-5873	33	27	codes	code	NOUN
ejpam-5873	33	28	on	on	ADP
ejpam-5873	33	29	the	the	DET
ejpam-5873	33	30	natural	natural	ADJ
ejpam-5873	33	31	alphabet	alphabet	PROPN
ejpam-5873	33	32	n.	n.	PROPN
ejpam-5873	33	33	(	(	PUNCT
ejpam-5873	33	34	iii	iii	X
ejpam-5873	33	35	)	)	PUNCT
ejpam-5873	33	36	some	some	DET
ejpam-5873	33	37	efficient	efficient	ADJ
ejpam-5873	33	38	non	non	ADJ
ejpam-5873	33	39	-	-	ADJ
ejpam-5873	33	40	systematic	systematic	ADJ
ejpam-5873	33	41	ll(lr)-peak	ll(lr)-peak	NOUN
ejpam-5873	33	42	shift	shift	NOUN
ejpam-5873	33	43	error	error	NOUN
ejpam-5873	33	44	of	of	ADP
ejpam-5873	33	45	size	size	NOUN
ejpam-5873	33	46	l	l	NOUN
ejpam-5873	33	47	correcting	correct	VERB
ejpam-5873	33	48	codes	code	NOUN
ejpam-5873	33	49	are	be	AUX
ejpam-5873	33	50	designed	design	VERB
ejpam-5873	33	51	.	.	PUNCT
ejpam-5873	34	1	(	(	PUNCT
ejpam-5873	34	2	iv	iv	X
ejpam-5873	34	3	)	)	PUNCT
ejpam-5873	34	4	some	some	PRON
ejpam-5873	34	5	improved	improve	VERB
ejpam-5873	34	6	upper	upper	ADJ
ejpam-5873	34	7	and	and	CCONJ
ejpam-5873	34	8	lower	low	ADJ
ejpam-5873	34	9	bounds	bound	NOUN
ejpam-5873	34	10	for	for	ADP
ejpam-5873	34	11	the	the	DET
ejpam-5873	34	12	ll(lr)-peak	ll(lr)-peak	NOUN
ejpam-5873	34	13	shift	shift	NOUN
ejpam-5873	34	14	codes	code	NOUN
ejpam-5873	34	15	are	be	AUX
ejpam-5873	34	16	presented	present	VERB
ejpam-5873	34	17	.	.	PUNCT
ejpam-5873	35	1	this	this	DET
ejpam-5873	35	2	paper	paper	NOUN
ejpam-5873	35	3	is	be	AUX
ejpam-5873	35	4	organized	organize	VERB
ejpam-5873	35	5	as	as	SCONJ
ejpam-5873	35	6	follows	follow	VERB
ejpam-5873	35	7	.	.	PUNCT
ejpam-5873	36	1	section	section	NOUN
ejpam-5873	36	2	2	2	NUM
ejpam-5873	36	3	briefly	briefly	NOUN
ejpam-5873	36	4	reviews	review	VERB
ejpam-5873	36	5	the	the	DET
ejpam-5873	36	6	basic	basic	ADJ
ejpam-5873	36	7	definitions	definition	NOUN
ejpam-5873	36	8	,	,	PUNCT
ejpam-5873	36	9	notations	notation	NOUN
ejpam-5873	36	10	,	,	PUNCT
ejpam-5873	36	11	and	and	CCONJ
ejpam-5873	36	12	the	the	DET
ejpam-5873	36	13	characterization	characterization	NOUN
ejpam-5873	36	14	of	of	ADP
ejpam-5873	36	15	l	l	NOUN
ejpam-5873	36	16	-	-	PUNCT
ejpam-5873	36	17	peak	peak	NOUN
ejpam-5873	36	18	-	-	PUNCT
ejpam-5873	36	19	shift	shift	NOUN
ejpam-5873	36	20	error	error	NOUN
ejpam-5873	36	21	correcting	correct	VERB
ejpam-5873	36	22	codes	code	NOUN
ejpam-5873	36	23	and	and	CCONJ
ejpam-5873	36	24	the	the	DET
ejpam-5873	36	25	l1	l1	PROPN
ejpam-5873	36	26	distance	distance	NOUN
ejpam-5873	36	27	.	.	PUNCT
ejpam-5873	37	1	section	section	NOUN
ejpam-5873	37	2	3	3	NUM
ejpam-5873	37	3	focuses	focus	VERB
ejpam-5873	37	4	on	on	ADP
ejpam-5873	37	5	a	a	DET
ejpam-5873	37	6	non	non	ADJ
ejpam-5873	37	7	-	-	ADJ
ejpam-5873	37	8	systematic	systematic	ADJ
ejpam-5873	37	9	code	code	NOUN
ejpam-5873	37	10	construction	construction	NOUN
ejpam-5873	37	11	and	and	CCONJ
ejpam-5873	37	12	shows	show	VERB
ejpam-5873	37	13	its	its	PRON
ejpam-5873	37	14	l	l	ADJ
ejpam-5873	37	15	-	-	PUNCT
ejpam-5873	37	16	peak	peak	NOUN
ejpam-5873	37	17	shift	shift	NOUN
ejpam-5873	37	18	correcting	correct	VERB
ejpam-5873	37	19	capability	capability	NOUN
ejpam-5873	37	20	.	.	PUNCT
ejpam-5873	38	1	it	it	PRON
ejpam-5873	38	2	also	also	ADV
ejpam-5873	38	3	gives	give	VERB
ejpam-5873	38	4	the	the	DET
ejpam-5873	38	5	upper	upper	ADJ
ejpam-5873	38	6	and	and	CCONJ
ejpam-5873	38	7	lower	low	ADJ
ejpam-5873	38	8	bounds	bound	NOUN
ejpam-5873	38	9	and	and	CCONJ
ejpam-5873	38	10	the	the	DET
ejpam-5873	38	11	decoding	decode	VERB
ejpam-5873	38	12	algorithm	algorithm	NOUN
ejpam-5873	38	13	.	.	PUNCT
ejpam-5873	39	1	finally	finally	ADV
ejpam-5873	39	2	,	,	PUNCT
ejpam-5873	39	3	the	the	DET
ejpam-5873	39	4	paper	paper	NOUN
ejpam-5873	39	5	is	be	AUX
ejpam-5873	39	6	concluded	conclude	VERB
ejpam-5873	39	7	in	in	ADP
ejpam-5873	39	8	section	section	NOUN
ejpam-5873	39	9	4	4	NUM
ejpam-5873	39	10	.	.	NOUN
ejpam-5873	39	11	2	2	NUM
ejpam-5873	39	12	.	.	X
ejpam-5873	39	13	peak	peak	NOUN
ejpam-5873	39	14	-	-	PUNCT
ejpam-5873	39	15	shifts	shift	NOUN
ejpam-5873	39	16	and	and	CCONJ
ejpam-5873	39	17	the	the	DET
ejpam-5873	39	18	l1	l1	PROPN
ejpam-5873	39	19	metric	metric	NOUN
ejpam-5873	39	20	in	in	ADP
ejpam-5873	39	21	this	this	DET
ejpam-5873	39	22	section	section	NOUN
ejpam-5873	39	23	,	,	PUNCT
ejpam-5873	39	24	the	the	DET
ejpam-5873	39	25	connection	connection	NOUN
ejpam-5873	39	26	between	between	ADP
ejpam-5873	39	27	the	the	DET
ejpam-5873	39	28	peak	peak	NOUN
ejpam-5873	39	29	-	-	PUNCT
ejpam-5873	39	30	shifts	shift	NOUN
ejpam-5873	39	31	control	control	NOUN
ejpam-5873	39	32	codes	code	NOUN
ejpam-5873	39	33	and	and	CCONJ
ejpam-5873	39	34	the	the	DET
ejpam-5873	39	35	l1	l1	PROPN
ejpam-5873	39	36	metric	metric	NOUN
ejpam-5873	39	37	is	be	AUX
ejpam-5873	39	38	shown	show	VERB
ejpam-5873	39	39	,	,	PUNCT
ejpam-5873	39	40	but	but	CCONJ
ejpam-5873	39	41	first	first	ADV
ejpam-5873	39	42	some	some	DET
ejpam-5873	39	43	basic	basic	ADJ
ejpam-5873	39	44	definitions	definition	NOUN
ejpam-5873	39	45	and	and	CCONJ
ejpam-5873	39	46	background	background	NOUN
ejpam-5873	39	47	are	be	AUX
ejpam-5873	39	48	presented	present	VERB
ejpam-5873	39	49	.	.	PUNCT
ejpam-5873	40	1	let	let	VERB
ejpam-5873	40	2	x	x	SYM
ejpam-5873	40	3	∈	∈	PROPN
ejpam-5873	40	4	zn	zn	PROPN
ejpam-5873	40	5	2	2	NUM
ejpam-5873	40	6	be	be	AUX
ejpam-5873	40	7	a	a	DET
ejpam-5873	40	8	binary	binary	ADJ
ejpam-5873	40	9	sequence	sequence	NOUN
ejpam-5873	40	10	of	of	ADP
ejpam-5873	40	11	length	length	NOUN
ejpam-5873	40	12	n	n	CCONJ
ejpam-5873	40	13	,	,	PUNCT
ejpam-5873	40	14	where	where	SCONJ
ejpam-5873	40	15	n	n	PRON
ejpam-5873	40	16	≥	≥	NOUN
ejpam-5873	40	17	1	1	NUM
ejpam-5873	40	18	.	.	PUNCT
ejpam-5873	41	1	a	a	DET
ejpam-5873	41	2	code	code	NOUN
ejpam-5873	41	3	c	c	NOUN
ejpam-5873	41	4	is	be	AUX
ejpam-5873	41	5	a	a	DET
ejpam-5873	41	6	set	set	NOUN
ejpam-5873	41	7	of	of	ADP
ejpam-5873	41	8	sequences	sequence	NOUN
ejpam-5873	41	9	(	(	PUNCT
ejpam-5873	41	10	codewords	codeword	NOUN
ejpam-5873	41	11	)	)	PUNCT
ejpam-5873	41	12	,	,	PUNCT
ejpam-5873	41	13	x	x	X
ejpam-5873	41	14	′	′	NOUN
ejpam-5873	41	15	is	be	AUX
ejpam-5873	41	16	,	,	PUNCT
ejpam-5873	41	17	where	where	SCONJ
ejpam-5873	41	18	i	i	PRON
ejpam-5873	41	19	∈	∈	PROPN
ejpam-5873	41	20	{	{	PUNCT
ejpam-5873	41	21	1	1	NUM
ejpam-5873	41	22	,	,	PUNCT
ejpam-5873	41	23	|c|	|c|	PROPN
ejpam-5873	41	24	}	}	PUNCT
ejpam-5873	41	25	.	.	PUNCT
ejpam-5873	42	1	furthermore	furthermore	ADV
ejpam-5873	42	2	,	,	PUNCT
ejpam-5873	42	3	a	a	DET
ejpam-5873	42	4	code	code	NOUN
ejpam-5873	42	5	c	c	NOUN
ejpam-5873	42	6	is	be	AUX
ejpam-5873	42	7	a	a	DET
ejpam-5873	42	8	single	single	ADJ
ejpam-5873	42	9	peakshifts	peakshift	NOUN
ejpam-5873	42	10	of	of	ADP
ejpam-5873	42	11	size	size	NOUN
ejpam-5873	42	12	l	l	PROPN
ejpam-5873	42	13	controlling	control	VERB
ejpam-5873	42	14	code	code	NOUN
ejpam-5873	42	15	if	if	SCONJ
ejpam-5873	42	16	any	any	DET
ejpam-5873	42	17	codeword	codeword	NOUN
ejpam-5873	42	18	is	be	AUX
ejpam-5873	42	19	uniquely	uniquely	ADV
ejpam-5873	42	20	determined	determined	ADJ
ejpam-5873	42	21	from	from	ADP
ejpam-5873	42	22	any	any	DET
ejpam-5873	42	23	word	word	NOUN
ejpam-5873	42	24	that	that	PRON
ejpam-5873	42	25	n.	n.	NOUN
ejpam-5873	42	26	a.	a.	NOUN
ejpam-5873	42	27	alqwaifly	alqwaifly	PROPN
ejpam-5873	42	28	/	/	SYM
ejpam-5873	42	29	eur	eur	PROPN
ejpam-5873	42	30	.	.	PUNCT
ejpam-5873	43	1	j.	j.	PROPN
ejpam-5873	43	2	pure	pure	PROPN
ejpam-5873	43	3	appl	appl	PROPN
ejpam-5873	43	4	.	.	PROPN
ejpam-5873	43	5	math	math	PROPN
ejpam-5873	43	6	,	,	PUNCT
ejpam-5873	43	7	18	18	NUM
ejpam-5873	43	8	(	(	PUNCT
ejpam-5873	43	9	2	2	NUM
ejpam-5873	43	10	)	)	PUNCT
ejpam-5873	43	11	(	(	PUNCT
ejpam-5873	43	12	2025	2025	NUM
ejpam-5873	43	13	)	)	PUNCT
ejpam-5873	43	14	,	,	PUNCT
ejpam-5873	43	15	5873	5873	NUM
ejpam-5873	43	16	3	3	NUM
ejpam-5873	43	17	of	of	ADP
ejpam-5873	43	18	16	16	NUM
ejpam-5873	43	19	can	can	AUX
ejpam-5873	43	20	be	be	AUX
ejpam-5873	43	21	obtained	obtain	VERB
ejpam-5873	43	22	from	from	ADP
ejpam-5873	43	23	it	it	PRON
ejpam-5873	43	24	by	by	ADP
ejpam-5873	43	25	a	a	DET
ejpam-5873	43	26	single	single	ADJ
ejpam-5873	43	27	left	left	NOUN
ejpam-5873	43	28	(	(	PUNCT
ejpam-5873	43	29	right	right	ADJ
ejpam-5873	43	30	)	)	PUNCT
ejpam-5873	43	31	peak	peak	NOUN
ejpam-5873	43	32	-	-	PUNCT
ejpam-5873	43	33	shifts	shift	NOUN
ejpam-5873	43	34	in	in	ADP
ejpam-5873	43	35	at	at	ADP
ejpam-5873	43	36	most	most	ADJ
ejpam-5873	43	37	l	l	NOUN
ejpam-5873	43	38	digits	digit	NOUN
ejpam-5873	43	39	,	,	PUNCT
ejpam-5873	43	40	where	where	SCONJ
ejpam-5873	43	41	l	l	PROPN
ejpam-5873	43	42	∈	∈	PROPN
ejpam-5873	43	43	n.	n.	NOUN
ejpam-5873	43	44	for	for	ADP
ejpam-5873	43	45	example	example	NOUN
ejpam-5873	43	46	,	,	PUNCT
ejpam-5873	43	47	if	if	SCONJ
ejpam-5873	43	48	x	x	ADP
ejpam-5873	43	49	=	=	SYM
ejpam-5873	43	50	1000010001∈z10	1000010001∈z10	NUM
ejpam-5873	43	51	2	2	NUM
ejpam-5873	43	52	(	(	PUNCT
ejpam-5873	43	53	1	1	NUM
ejpam-5873	43	54	)	)	PUNCT
ejpam-5873	43	55	is	be	AUX
ejpam-5873	43	56	a	a	DET
ejpam-5873	43	57	transmitted	transmit	VERB
ejpam-5873	43	58	binary	binary	ADJ
ejpam-5873	43	59	sequence	sequence	NOUN
ejpam-5873	43	60	of	of	ADP
ejpam-5873	43	61	length	length	NOUN
ejpam-5873	43	62	n	n	NOUN
ejpam-5873	43	63	=	=	SYM
ejpam-5873	43	64	10	10	NUM
ejpam-5873	43	65	,	,	PUNCT
ejpam-5873	43	66	then	then	ADV
ejpam-5873	43	67	y	y	PROPN
ejpam-5873	43	68	=	=	PUNCT
ejpam-5873	43	69	0011000010∈z10	0011000010∈z10	NUM
ejpam-5873	43	70	2	2	NUM
ejpam-5873	43	71	(	(	PUNCT
ejpam-5873	43	72	2	2	NUM
ejpam-5873	43	73	)	)	PUNCT
ejpam-5873	43	74	is	be	AUX
ejpam-5873	43	75	the	the	DET
ejpam-5873	43	76	received	receive	VERB
ejpam-5873	43	77	sequence	sequence	NOUN
ejpam-5873	43	78	of	of	ADP
ejpam-5873	43	79	length	length	NOUN
ejpam-5873	43	80	n̂	n̂	PUNCT
ejpam-5873	43	81	=	=	SYM
ejpam-5873	43	82	10	10	NUM
ejpam-5873	43	83	obtained	obtain	VERB
ejpam-5873	43	84	from	from	ADP
ejpam-5873	43	85	x	x	PUNCT
ejpam-5873	43	86	by	by	ADP
ejpam-5873	43	87	shifting	shift	VERB
ejpam-5873	43	88	the	the	DET
ejpam-5873	43	89	first	first	ADJ
ejpam-5873	43	90	-	-	PUNCT
ejpam-5873	43	91	one	one	NUM
ejpam-5873	43	92	two	two	NUM
ejpam-5873	43	93	positions	position	NOUN
ejpam-5873	43	94	to	to	ADP
ejpam-5873	43	95	the	the	DET
ejpam-5873	43	96	right	right	NOUN
ejpam-5873	43	97	,	,	PUNCT
ejpam-5873	43	98	shifting	shift	VERB
ejpam-5873	43	99	the	the	DET
ejpam-5873	43	100	second	second	NOUN
ejpam-5873	43	101	-	-	PUNCT
ejpam-5873	43	102	one	one	NUM
ejpam-5873	43	103	two	two	NUM
ejpam-5873	43	104	positions	position	NOUN
ejpam-5873	43	105	to	to	ADP
ejpam-5873	43	106	the	the	DET
ejpam-5873	43	107	left	left	NOUN
ejpam-5873	43	108	,	,	PUNCT
ejpam-5873	43	109	and	and	CCONJ
ejpam-5873	43	110	shifting	shift	VERB
ejpam-5873	43	111	the	the	DET
ejpam-5873	43	112	third	third	ADJ
ejpam-5873	43	113	-	-	PUNCT
ejpam-5873	43	114	one	one	NUM
ejpam-5873	43	115	one	one	NUM
ejpam-5873	43	116	position	position	NOUN
ejpam-5873	43	117	to	to	ADP
ejpam-5873	43	118	the	the	DET
ejpam-5873	43	119	left	left	NOUN
ejpam-5873	43	120	,	,	PUNCT
ejpam-5873	43	121	totaling	total	VERB
ejpam-5873	43	122	l	l	NOUN
ejpam-5873	43	123	=	=	SYM
ejpam-5873	43	124	5	5	NUM
ejpam-5873	43	125	shifts	shift	NOUN
ejpam-5873	43	126	(	(	PUNCT
ejpam-5873	43	127	figure	figure	NOUN
ejpam-5873	43	128	1	1	NUM
ejpam-5873	43	129	)	)	PUNCT
ejpam-5873	43	130	.	.	PUNCT
ejpam-5873	44	1	the	the	DET
ejpam-5873	44	2	focus	focus	NOUN
ejpam-5873	44	3	is	be	AUX
ejpam-5873	44	4	only	only	ADV
ejpam-5873	44	5	on	on	ADP
ejpam-5873	44	6	a	a	DET
ejpam-5873	44	7	single	single	ADJ
ejpam-5873	44	8	shift	shift	NOUN
ejpam-5873	44	9	occurs	occur	VERB
ejpam-5873	44	10	;	;	PUNCT
ejpam-5873	44	11	meaning	mean	VERB
ejpam-5873	44	12	just	just	ADV
ejpam-5873	44	13	only	only	ADV
ejpam-5873	44	14	one	one	NUM
ejpam-5873	44	15	of	of	ADP
ejpam-5873	44	16	any	any	DET
ejpam-5873	44	17	1	1	NUM
ejpam-5873	44	18	’s	’s	PART
ejpam-5873	44	19	experiences	experience	NOUN
ejpam-5873	44	20	a	a	DET
ejpam-5873	44	21	shift	shift	NOUN
ejpam-5873	44	22	of	of	ADP
ejpam-5873	44	23	size	size	NOUN
ejpam-5873	44	24	l	l	NOUN
ejpam-5873	44	25	in	in	ADP
ejpam-5873	44	26	the	the	DET
ejpam-5873	44	27	previous	previous	ADJ
ejpam-5873	44	28	example	example	NOUN
ejpam-5873	44	29	.	.	PUNCT
ejpam-5873	45	1	figure	figure	VERB
ejpam-5873	45	2	1	1	NUM
ejpam-5873	45	3	:	:	PUNCT
ejpam-5873	45	4	illustration	illustration	NOUN
ejpam-5873	45	5	of	of	ADP
ejpam-5873	45	6	peak	peak	NOUN
ejpam-5873	45	7	-	-	PUNCT
ejpam-5873	45	8	shift	shift	NOUN
ejpam-5873	45	9	errors	error	NOUN
ejpam-5873	45	10	the	the	DET
ejpam-5873	45	11	following	follow	VERB
ejpam-5873	45	12	l1	l1	PROPN
ejpam-5873	45	13	metric	metric	ADJ
ejpam-5873	45	14	distances	distance	NOUN
ejpam-5873	45	15	between	between	ADP
ejpam-5873	45	16	q	q	PROPN
ejpam-5873	45	17	ary	ary	PROPN
ejpam-5873	45	18	words	word	NOUN
ejpam-5873	45	19	x	x	NOUN
ejpam-5873	45	20	,	,	PUNCT
ejpam-5873	45	21	y	y	PROPN
ejpam-5873	45	22	∈	∈	PROPN
ejpam-5873	45	23	zn	zn	PROPN
ejpam-5873	45	24	q	q	PROPN
ejpam-5873	45	25	are	be	AUX
ejpam-5873	45	26	important	important	ADJ
ejpam-5873	45	27	to	to	PART
ejpam-5873	45	28	describe	describe	VERB
ejpam-5873	45	29	l	l	NOUN
ejpam-5873	45	30	peak	peak	NOUN
ejpam-5873	45	31	shift	shift	NOUN
ejpam-5873	45	32	error	error	NOUN
ejpam-5873	45	33	correction	correction	NOUN
ejpam-5873	45	34	codes	code	NOUN
ejpam-5873	45	35	in	in	ADP
ejpam-5873	45	36	section	section	NOUN
ejpam-5873	45	37	3	3	NUM
ejpam-5873	45	38	.	.	PUNCT
ejpam-5873	46	1	let	let	VERB
ejpam-5873	46	2	x	x	INTJ
ejpam-5873	46	3	.−	.−	PUNCT
ejpam-5873	46	4	y	y	PROPN
ejpam-5873	46	5	def	def	PROPN
ejpam-5873	46	6	=	=	SYM
ejpam-5873	46	7	max	max	PROPN
ejpam-5873	46	8	{	{	PUNCT
ejpam-5873	46	9	0	0	PROPN
ejpam-5873	46	10	,	,	PUNCT
ejpam-5873	46	11	x−	x−	PROPN
ejpam-5873	46	12	y	y	PROPN
ejpam-5873	46	13	}	}	PUNCT
ejpam-5873	46	14	for	for	ADP
ejpam-5873	46	15	x	x	NOUN
ejpam-5873	46	16	,	,	PUNCT
ejpam-5873	46	17	y∈zq	y∈zq	PROPN
ejpam-5873	46	18	.	.	PUNCT
ejpam-5873	47	1	then	then	ADV
ejpam-5873	47	2	symmetric	symmetric	PROPN
ejpam-5873	47	3	l1	l1	PROPN
ejpam-5873	47	4	:	:	PUNCT
ejpam-5873	47	5	dsyl1	dsyl1	NOUN
ejpam-5873	47	6	(	(	PUNCT
ejpam-5873	47	7	x	x	X
ejpam-5873	47	8	,	,	PUNCT
ejpam-5873	47	9	y	y	PROPN
ejpam-5873	47	10	)	)	PUNCT
ejpam-5873	47	11	def	def	PROPN
ejpam-5873	47	12	=	=	SYM
ejpam-5873	47	13	|y	|y	NOUN
ejpam-5873	47	14	.−x|+|x	.−x|+|x	X
ejpam-5873	47	15	.−y	.−y	PUNCT
ejpam-5873	48	1	|	|	ADV
ejpam-5873	48	2	,	,	PUNCT
ejpam-5873	48	3	asymmetric	asymmetric	ADJ
ejpam-5873	48	4	l1	l1	PROPN
ejpam-5873	48	5	:	:	PUNCT
ejpam-5873	48	6	dasl1	dasl1	NOUN
ejpam-5873	48	7	(	(	PUNCT
ejpam-5873	48	8	x	x	X
ejpam-5873	48	9	,	,	PUNCT
ejpam-5873	48	10	y	y	PROPN
ejpam-5873	48	11	)	)	PUNCT
ejpam-5873	48	12	def	def	PROPN
ejpam-5873	48	13	=	=	PUNCT
ejpam-5873	48	14	max{|y	max{|y	NUM
ejpam-5873	48	15	.−x|	.−x|	PUNCT
ejpam-5873	48	16	,	,	PUNCT
ejpam-5873	48	17	|x	|x	NOUN
ejpam-5873	48	18	.−y	.−y	PUNCT
ejpam-5873	49	1	|	|	ADV
ejpam-5873	49	2	}	}	PUNCT
ejpam-5873	49	3	.	.	PUNCT
ejpam-5873	50	1	(	(	PUNCT
ejpam-5873	50	2	3	3	X
ejpam-5873	50	3	)	)	PUNCT
ejpam-5873	50	4	for	for	ADP
ejpam-5873	50	5	example	example	NOUN
ejpam-5873	50	6	,	,	PUNCT
ejpam-5873	50	7	if	if	SCONJ
ejpam-5873	50	8	q	q	NOUN
ejpam-5873	50	9	=	=	SYM
ejpam-5873	50	10	5	5	NUM
ejpam-5873	50	11	,	,	PUNCT
ejpam-5873	50	12	n	n	NOUN
ejpam-5873	50	13	=	=	SYM
ejpam-5873	50	14	9	9	NUM
ejpam-5873	50	15	,	,	PUNCT
ejpam-5873	50	16	x	x	SYM
ejpam-5873	50	17	=	=	SYM
ejpam-5873	50	18	014230120	014230120	NUM
ejpam-5873	50	19	,	,	PUNCT
ejpam-5873	51	1	y	y	PROPN
ejpam-5873	51	2	=	=	SYM
ejpam-5873	51	3	432130001	432130001	NUM
ejpam-5873	51	4	then	then	ADV
ejpam-5873	51	5	|x	|x	X
ejpam-5873	51	6	.−	.−	PUNCT
ejpam-5873	52	1	y	y	PROPN
ejpam-5873	52	2	|	|	ADV
ejpam-5873	52	3	=	=	SYM
ejpam-5873	52	4	6	6	NUM
ejpam-5873	52	5	,	,	PUNCT
ejpam-5873	52	6	|y	|y	NOUN
ejpam-5873	52	7	.−	.−	PUNCT
ejpam-5873	52	8	x|	x|	X
ejpam-5873	52	9	=	=	SYM
ejpam-5873	52	10	7	7	NUM
ejpam-5873	52	11	,	,	PUNCT
ejpam-5873	52	12	and	and	CCONJ
ejpam-5873	52	13	dsyl1	dsyl1	NOUN
ejpam-5873	52	14	(	(	PUNCT
ejpam-5873	52	15	x	x	X
ejpam-5873	52	16	,	,	PUNCT
ejpam-5873	52	17	y	y	PROPN
ejpam-5873	52	18	)	)	PUNCT
ejpam-5873	52	19	=	=	PUNCT
ejpam-5873	53	1	6	6	NUM
ejpam-5873	53	2	+	+	CCONJ
ejpam-5873	53	3	7	7	NUM
ejpam-5873	53	4	=	=	SYM
ejpam-5873	53	5	13	13	NUM
ejpam-5873	53	6	,	,	PUNCT
ejpam-5873	53	7	dasl1	dasl1	NOUN
ejpam-5873	53	8	(	(	PUNCT
ejpam-5873	53	9	x	x	X
ejpam-5873	53	10	,	,	PUNCT
ejpam-5873	53	11	y	y	PROPN
ejpam-5873	53	12	)	)	PUNCT
ejpam-5873	54	1	=	=	SYM
ejpam-5873	54	2	max{6	max{6	PROPN
ejpam-5873	54	3	,	,	PUNCT
ejpam-5873	54	4	7	7	NUM
ejpam-5873	54	5	}	}	PUNCT
ejpam-5873	54	6	=	=	SYM
ejpam-5873	54	7	7	7	X
ejpam-5873	54	8	.	.	X
ejpam-5873	54	9	note	note	VERB
ejpam-5873	54	10	that	that	SCONJ
ejpam-5873	54	11	if	if	SCONJ
ejpam-5873	54	12	x	x	PRON
ejpam-5873	54	13	and	and	CCONJ
ejpam-5873	54	14	y	y	PROPN
ejpam-5873	54	15	are	be	AUX
ejpam-5873	54	16	the	the	DET
ejpam-5873	54	17	transmitted	transmit	VERB
ejpam-5873	54	18	and	and	CCONJ
ejpam-5873	54	19	received	receive	VERB
ejpam-5873	54	20	words	word	NOUN
ejpam-5873	54	21	,	,	PUNCT
ejpam-5873	54	22	respectively	respectively	ADV
ejpam-5873	54	23	,	,	PUNCT
ejpam-5873	54	24	then	then	ADV
ejpam-5873	54	25	y	y	PROPN
ejpam-5873	54	26	.−	.−	PUNCT
ejpam-5873	55	1	x	x	X
ejpam-5873	56	1	and	and	CCONJ
ejpam-5873	56	2	x	x	X
ejpam-5873	56	3	.−	.−	PUNCT
ejpam-5873	56	4	y	y	PROPN
ejpam-5873	56	5	give	give	VERB
ejpam-5873	56	6	the	the	DET
ejpam-5873	56	7	increasing	increase	VERB
ejpam-5873	56	8	(	(	PUNCT
ejpam-5873	56	9	right	right	ADJ
ejpam-5873	56	10	shift	shift	NOUN
ejpam-5873	56	11	)	)	PUNCT
ejpam-5873	56	12	and	and	CCONJ
ejpam-5873	56	13	decreasing	decrease	VERB
ejpam-5873	56	14	(	(	PUNCT
ejpam-5873	56	15	left	left	ADJ
ejpam-5873	56	16	shift	shift	NOUN
ejpam-5873	56	17	)	)	PUNCT
ejpam-5873	56	18	error	error	NOUN
ejpam-5873	56	19	vectors	vector	NOUN
ejpam-5873	56	20	,	,	PUNCT
ejpam-5873	56	21	respectively	respectively	ADV
ejpam-5873	56	22	.	.	PUNCT
ejpam-5873	57	1	n.	n.	PROPN
ejpam-5873	57	2	a.	a.	PROPN
ejpam-5873	57	3	alqwaifly	alqwaifly	PROPN
ejpam-5873	57	4	/	/	SYM
ejpam-5873	57	5	eur	eur	PROPN
ejpam-5873	57	6	.	.	PUNCT
ejpam-5873	58	1	j.	j.	PROPN
ejpam-5873	58	2	pure	pure	PROPN
ejpam-5873	58	3	appl	appl	PROPN
ejpam-5873	58	4	.	.	PROPN
ejpam-5873	58	5	math	math	PROPN
ejpam-5873	58	6	,	,	PUNCT
ejpam-5873	58	7	18	18	NUM
ejpam-5873	58	8	(	(	PUNCT
ejpam-5873	58	9	2	2	NUM
ejpam-5873	58	10	)	)	PUNCT
ejpam-5873	58	11	(	(	PUNCT
ejpam-5873	58	12	2025	2025	NUM
ejpam-5873	58	13	)	)	PUNCT
ejpam-5873	58	14	,	,	PUNCT
ejpam-5873	58	15	5873	5873	NUM
ejpam-5873	58	16	4	4	NUM
ejpam-5873	58	17	of	of	ADP
ejpam-5873	58	18	16	16	NUM
ejpam-5873	58	19	constant	constant	ADJ
ejpam-5873	58	20	weight	weight	NOUN
ejpam-5873	58	21	codes	code	NOUN
ejpam-5873	58	22	play	play	VERB
ejpam-5873	58	23	an	an	DET
ejpam-5873	58	24	important	important	ADJ
ejpam-5873	58	25	role	role	NOUN
ejpam-5873	58	26	in	in	ADP
ejpam-5873	58	27	the	the	DET
ejpam-5873	58	28	code	code	NOUN
ejpam-5873	58	29	design	design	NOUN
ejpam-5873	58	30	and	and	CCONJ
ejpam-5873	58	31	hence	hence	ADV
ejpam-5873	58	32	in	in	ADP
ejpam-5873	58	33	the	the	DET
ejpam-5873	58	34	derivations	derivation	NOUN
ejpam-5873	58	35	of	of	ADP
ejpam-5873	58	36	the	the	DET
ejpam-5873	58	37	upper	upper	ADJ
ejpam-5873	58	38	and	and	CCONJ
ejpam-5873	58	39	lower	low	ADJ
ejpam-5873	58	40	bounds	bound	NOUN
ejpam-5873	58	41	.	.	PUNCT
ejpam-5873	59	1	so	so	ADV
ejpam-5873	59	2	,	,	PUNCT
ejpam-5873	59	3	given	give	VERB
ejpam-5873	59	4	n	n	CCONJ
ejpam-5873	59	5	,	,	PUNCT
ejpam-5873	59	6	w∈n	w∈n	ADJ
ejpam-5873	59	7	and	and	CCONJ
ejpam-5873	59	8	any	any	DET
ejpam-5873	59	9	numeric	numeric	ADJ
ejpam-5873	59	10	set	set	NOUN
ejpam-5873	59	11	a	a	DET
ejpam-5873	59	12	⊆	⊆	NUM
ejpam-5873	59	13	n	n	NOUN
ejpam-5873	59	14	as	as	ADP
ejpam-5873	59	15	alphabet	alphabet	NOUN
ejpam-5873	59	16	,	,	PUNCT
ejpam-5873	59	17	let	let	VERB
ejpam-5873	59	18	b(a	b(a	NOUN
ejpam-5873	59	19	,	,	PUNCT
ejpam-5873	59	20	n	n	CCONJ
ejpam-5873	59	21	,	,	PUNCT
ejpam-5873	59	22	w	w	NOUN
ejpam-5873	59	23	)	)	PUNCT
ejpam-5873	59	24	def	def	NOUN
ejpam-5873	59	25	=	=	SYM
ejpam-5873	59	26	{	{	PUNCT
ejpam-5873	59	27	x∈an	x∈an	PROPN
ejpam-5873	59	28	:	:	PUNCT
ejpam-5873	59	29	wl1(x	wl1(x	NOUN
ejpam-5873	59	30	)	)	PUNCT
ejpam-5873	59	31	=	=	SYM
ejpam-5873	60	1	|x|	|x|	PROPN
ejpam-5873	60	2	=	=	SYM
ejpam-5873	60	3	w	w	PROPN
ejpam-5873	60	4	}	}	PUNCT
ejpam-5873	60	5	(	(	PUNCT
ejpam-5873	60	6	4	4	X
ejpam-5873	60	7	)	)	PUNCT
ejpam-5873	60	8	be	be	VERB
ejpam-5873	60	9	the	the	DET
ejpam-5873	60	10	set	set	NOUN
ejpam-5873	60	11	of	of	ADP
ejpam-5873	60	12	all	all	DET
ejpam-5873	60	13	word	word	NOUN
ejpam-5873	60	14	over	over	ADP
ejpam-5873	60	15	a	a	PRON
ejpam-5873	60	16	of	of	ADP
ejpam-5873	60	17	length	length	NOUN
ejpam-5873	60	18	n	n	NOUN
ejpam-5873	60	19	and	and	CCONJ
ejpam-5873	60	20	constant	constant	ADJ
ejpam-5873	60	21	weight	weight	NOUN
ejpam-5873	60	22	w.	w.	NOUN
ejpam-5873	60	23	from	from	ADP
ejpam-5873	60	24	[	[	X
ejpam-5873	60	25	6	6	NUM
ejpam-5873	60	26	]	]	PUNCT
ejpam-5873	60	27	,	,	PUNCT
ejpam-5873	60	28	if	if	SCONJ
ejpam-5873	60	29	a	a	PRON
ejpam-5873	60	30	=	=	X
ejpam-5873	60	31	z∞	z∞	NUM
ejpam-5873	60	32	=	=	SYM
ejpam-5873	60	33	n	n	CCONJ
ejpam-5873	60	34	,	,	PUNCT
ejpam-5873	60	35	then	then	ADV
ejpam-5873	60	36	|b(n	|b(n	PROPN
ejpam-5873	60	37	,	,	PUNCT
ejpam-5873	60	38	n	n	CCONJ
ejpam-5873	60	39	,	,	PUNCT
ejpam-5873	60	40	w)|	w)|	VERB
ejpam-5873	60	41	=	=	PUNCT
ejpam-5873	60	42	(	(	PUNCT
ejpam-5873	61	1	n+	n+	NOUN
ejpam-5873	61	2	w	w	NOUN
ejpam-5873	61	3	−	−	NUM
ejpam-5873	61	4	1	1	NUM
ejpam-5873	61	5	n−	n−	NOUN
ejpam-5873	61	6	1	1	NUM
ejpam-5873	61	7	)	)	PUNCT
ejpam-5873	61	8	(	(	PUNCT
ejpam-5873	61	9	5	5	X
ejpam-5873	61	10	)	)	PUNCT
ejpam-5873	61	11	figure	figure	NOUN
ejpam-5873	61	12	2	2	NUM
ejpam-5873	61	13	illustrates	illustrate	VERB
ejpam-5873	61	14	the	the	DET
ejpam-5873	61	15	decomposition	decomposition	NOUN
ejpam-5873	61	16	into	into	ADP
ejpam-5873	61	17	constant	constant	ADJ
ejpam-5873	61	18	weight	weight	NOUN
ejpam-5873	61	19	codes	code	NOUN
ejpam-5873	61	20	.	.	PUNCT
ejpam-5873	62	1	figure	figure	VERB
ejpam-5873	62	2	2	2	NUM
ejpam-5873	62	3	:	:	PUNCT
ejpam-5873	62	4	decomposition	decomposition	NOUN
ejpam-5873	62	5	into	into	ADP
ejpam-5873	62	6	constant	constant	ADJ
ejpam-5873	62	7	weight	weight	NOUN
ejpam-5873	62	8	codes	code	NOUN
ejpam-5873	62	9	levenshtein	levenshtein	VERB
ejpam-5873	62	10	in	in	ADP
ejpam-5873	62	11	[	[	X
ejpam-5873	62	12	4	4	NUM
ejpam-5873	62	13	,	,	PUNCT
ejpam-5873	62	14	9	9	NUM
ejpam-5873	62	15	]	]	PUNCT
ejpam-5873	62	16	,	,	PUNCT
ejpam-5873	62	17	introduced	introduce	VERB
ejpam-5873	62	18	the	the	DET
ejpam-5873	62	19	following	follow	VERB
ejpam-5873	62	20	representation	representation	NOUN
ejpam-5873	62	21	of	of	ADP
ejpam-5873	62	22	x.	x.	NOUN
ejpam-5873	62	23	if	if	SCONJ
ejpam-5873	62	24	x	x	SYM
ejpam-5873	62	25	∈z∗	∈z∗	NOUN
ejpam-5873	62	26	2	2	NUM
ejpam-5873	62	27	then	then	ADV
ejpam-5873	62	28	x	x	PRON
ejpam-5873	62	29	can	can	AUX
ejpam-5873	62	30	be	be	AUX
ejpam-5873	62	31	uniquely	uniquely	ADV
ejpam-5873	62	32	written	write	VERB
ejpam-5873	62	33	as	as	ADP
ejpam-5873	62	34	x	x	X
ejpam-5873	62	35	=	=	NOUN
ejpam-5873	62	36	0v110v210	0v110v210	NOUN
ejpam-5873	62	37	.	.	PUNCT
ejpam-5873	62	38	.	.	PUNCT
ejpam-5873	63	1	.	.	PUNCT
ejpam-5873	64	1	010vw10vw+1	010vw10vw+1	NUM
ejpam-5873	64	2	(	(	PUNCT
ejpam-5873	64	3	6	6	NUM
ejpam-5873	64	4	)	)	PUNCT
ejpam-5873	64	5	for	for	ADP
ejpam-5873	64	6	all	all	DET
ejpam-5873	64	7	integers	integer	NOUN
ejpam-5873	64	8	h∈	h∈	ADV
ejpam-5873	65	1	[	[	X
ejpam-5873	65	2	1	1	NUM
ejpam-5873	65	3	,	,	PUNCT
ejpam-5873	65	4	w	w	PROPN
ejpam-5873	66	1	+	+	PROPN
ejpam-5873	66	2	1	1	NUM
ejpam-5873	66	3	]	]	PUNCT
ejpam-5873	66	4	,	,	PUNCT
ejpam-5873	66	5	vh	vh	PROPN
ejpam-5873	66	6	def	def	PROPN
ejpam-5873	66	7	=	=	X
ejpam-5873	66	8	vh(x)∈zn−w+1	vh(x)∈zn−w+1	NOUN
ejpam-5873	66	9	⊆	⊆	NUM
ejpam-5873	66	10	n	n	PRON
ejpam-5873	66	11	is	be	AUX
ejpam-5873	66	12	the	the	DET
ejpam-5873	66	13	h	h	NOUN
ejpam-5873	66	14	-	-	PUNCT
ejpam-5873	66	15	th	th	VERB
ejpam-5873	66	16	run	run	NOUN
ejpam-5873	66	17	of	of	ADP
ejpam-5873	66	18	0	0	NUM
ejpam-5873	66	19	’s	’s	NOUN
ejpam-5873	66	20	in	in	ADP
ejpam-5873	66	21	the	the	DET
ejpam-5873	66	22	word	word	NOUN
ejpam-5873	66	23	x	x	NOUN
ejpam-5873	66	24	,	,	PUNCT
ejpam-5873	66	25	where	where	SCONJ
ejpam-5873	66	26	n∈n	n∈n	NOUN
ejpam-5873	66	27	is	be	AUX
ejpam-5873	66	28	the	the	DET
ejpam-5873	66	29	length	length	NOUN
ejpam-5873	66	30	of	of	ADP
ejpam-5873	66	31	x	x	X
ejpam-5873	66	32	and	and	CCONJ
ejpam-5873	66	33	w	w	PROPN
ejpam-5873	66	34	=	=	NOUN
ejpam-5873	66	35	wh(x)∈	wh(x)∈	NOUN
ejpam-5873	66	36	[	[	X
ejpam-5873	66	37	0	0	NUM
ejpam-5873	66	38	,	,	PUNCT
ejpam-5873	66	39	n	n	CCONJ
ejpam-5873	66	40	]	]	PUNCT
ejpam-5873	66	41	is	be	AUX
ejpam-5873	66	42	the	the	DET
ejpam-5873	66	43	hamming	hamming	ADJ
ejpam-5873	66	44	weight	weight	NOUN
ejpam-5873	66	45	of	of	ADP
ejpam-5873	66	46	x.	x.	NOUN
ejpam-5873	66	47	note	note	VERB
ejpam-5873	66	48	that	that	SCONJ
ejpam-5873	66	49	vw+1	vw+1	NUM
ejpam-5873	66	50	=	=	PUNCT
ejpam-5873	66	51	n−	n−	VERB
ejpam-5873	66	52	w(x)−	w(x)−	NOUN
ejpam-5873	66	53	w∑	w∑	PROPN
ejpam-5873	66	54	i=1	i=1	PROPN
ejpam-5873	66	55	vi	vi	PROPN
ejpam-5873	66	56	.	.	PUNCT
ejpam-5873	67	1	(	(	PUNCT
ejpam-5873	67	2	7	7	NUM
ejpam-5873	67	3	)	)	PUNCT
ejpam-5873	67	4	so	so	ADV
ejpam-5873	67	5	,	,	PUNCT
ejpam-5873	67	6	v	v	INTJ
ejpam-5873	67	7	(	(	PUNCT
ejpam-5873	67	8	x	x	NOUN
ejpam-5873	67	9	)	)	PUNCT
ejpam-5873	67	10	def	def	ADJ
ejpam-5873	67	11	=	=	SYM
ejpam-5873	67	12	(	(	PUNCT
ejpam-5873	67	13	v1	v1	PROPN
ejpam-5873	67	14	,	,	PUNCT
ejpam-5873	67	15	v2	v2	NOUN
ejpam-5873	67	16	,	,	PUNCT
ejpam-5873	67	17	.	.	PUNCT
ejpam-5873	67	18	.	.	PUNCT
ejpam-5873	68	1	.	.	PUNCT
ejpam-5873	69	1	,	,	PUNCT
ejpam-5873	69	2	vw	vw	PROPN
ejpam-5873	69	3	,	,	PUNCT
ejpam-5873	69	4	vw+1	vw+1	NUM
ejpam-5873	69	5	)	)	PUNCT
ejpam-5873	69	6	.	.	PUNCT
ejpam-5873	70	1	(	(	PUNCT
ejpam-5873	70	2	8)	8)	NUM
ejpam-5873	70	3	now	now	ADV
ejpam-5873	70	4	,	,	PUNCT
ejpam-5873	70	5	restricting	restrict	VERB
ejpam-5873	70	6	the	the	DET
ejpam-5873	70	7	discussion	discussion	NOUN
ejpam-5873	70	8	to	to	ADP
ejpam-5873	70	9	sequences	sequence	NOUN
ejpam-5873	70	10	of	of	ADP
ejpam-5873	70	11	fixed	fix	VERB
ejpam-5873	70	12	length	length	NOUN
ejpam-5873	70	13	n	n	PROPN
ejpam-5873	70	14	and	and	CCONJ
ejpam-5873	70	15	fixed	fix	VERB
ejpam-5873	70	16	hamming	ham	VERB
ejpam-5873	70	17	weight	weight	NOUN
ejpam-5873	70	18	w	w	NOUN
ejpam-5873	70	19	as	as	ADP
ejpam-5873	70	20	the	the	DET
ejpam-5873	70	21	representation	representation	NOUN
ejpam-5873	70	22	above	above	ADV
ejpam-5873	70	23	,	,	PUNCT
ejpam-5873	70	24	consider	consider	VERB
ejpam-5873	70	25	the	the	DET
ejpam-5873	70	26	following	follow	VERB
ejpam-5873	70	27	bijective	bijective	ADJ
ejpam-5873	70	28	function	function	NOUN
ejpam-5873	70	29	.	.	PUNCT
ejpam-5873	71	1	i	i	PRON
ejpam-5873	71	2	:	:	PUNCT
ejpam-5873	71	3	zn	zn	PROPN
ejpam-5873	71	4	2	2	NUM
ejpam-5873	71	5	→	→	SYM
ejpam-5873	71	6	zw	zw	PROPN
ejpam-5873	71	7	n	n	PROPN
ejpam-5873	71	8	⊂	⊂	PROPN
ejpam-5873	71	9	n∗	n∗	PROPN
ejpam-5873	71	10	(	(	PUNCT
ejpam-5873	71	11	9	9	NUM
ejpam-5873	71	12	)	)	PUNCT
ejpam-5873	71	13	which	which	PRON
ejpam-5873	71	14	associates	associate	VERB
ejpam-5873	71	15	any	any	DET
ejpam-5873	71	16	v	v	NOUN
ejpam-5873	71	17	(	(	PUNCT
ejpam-5873	71	18	x)∈z∗	x)∈z∗	PUNCT
ejpam-5873	71	19	w+1	w+1	PROPN
ejpam-5873	71	20	represented	represent	VERB
ejpam-5873	71	21	as	as	ADP
ejpam-5873	71	22	in	in	ADP
ejpam-5873	71	23	(	(	PUNCT
ejpam-5873	71	24	8)	8)	NUM
ejpam-5873	71	25	with	with	ADP
ejpam-5873	71	26	i(x	i(x	NOUN
ejpam-5873	71	27	)	)	PUNCT
ejpam-5873	71	28	def	def	PROPN
ejpam-5873	71	29	=	=	SYM
ejpam-5873	71	30	(	(	PUNCT
ejpam-5873	71	31	i0	i0	PROPN
ejpam-5873	71	32	,	,	PUNCT
ejpam-5873	71	33	i1	i1	PROPN
ejpam-5873	71	34	,	,	PUNCT
ejpam-5873	71	35	.	.	PUNCT
ejpam-5873	71	36	.	.	PUNCT
ejpam-5873	71	37	.	.	PUNCT
ejpam-5873	72	1	,	,	PUNCT
ejpam-5873	72	2	iw−1)∈n∗.	iw−1)∈n∗.	NOUN
ejpam-5873	72	3	the	the	DET
ejpam-5873	72	4	functions	function	NOUN
ejpam-5873	72	5	i(x	i(x	PROPN
ejpam-5873	72	6	)	)	PUNCT
ejpam-5873	72	7	and	and	CCONJ
ejpam-5873	72	8	v	v	NOUN
ejpam-5873	72	9	(	(	PUNCT
ejpam-5873	72	10	x	x	NOUN
ejpam-5873	72	11	)	)	PUNCT
ejpam-5873	72	12	are	be	AUX
ejpam-5873	72	13	related	relate	VERB
ejpam-5873	72	14	as	as	SCONJ
ejpam-5873	72	15	follows	follow	VERB
ejpam-5873	72	16	.	.	PUNCT
ejpam-5873	73	1	x	x	PUNCT
ejpam-5873	73	2	=	=	NOUN
ejpam-5873	73	3	0v110v210	0v110v210	NOUN
ejpam-5873	73	4	.	.	PUNCT
ejpam-5873	73	5	.	.	PUNCT
ejpam-5873	73	6	.	.	PUNCT
ejpam-5873	74	1	010vw10vw+1	010vw10vw+1	NUM
ejpam-5873	74	2	↔	↔	PROPN
ejpam-5873	74	3	i(x	i(x	NOUN
ejpam-5873	74	4	)	)	PUNCT
ejpam-5873	74	5	def	def	PROPN
ejpam-5873	74	6	=	=	SYM
ejpam-5873	74	7	(	(	PUNCT
ejpam-5873	74	8	i1	i1	PROPN
ejpam-5873	74	9	,	,	PUNCT
ejpam-5873	74	10	i2	i2	PROPN
ejpam-5873	74	11	,	,	PUNCT
ejpam-5873	74	12	.	.	PUNCT
ejpam-5873	74	13	.	.	PUNCT
ejpam-5873	75	1	.	.	PUNCT
ejpam-5873	76	1	,	,	PUNCT
ejpam-5873	76	2	iw	iw	X
ejpam-5873	76	3	)	)	PUNCT
ejpam-5873	76	4	def	def	NOUN
ejpam-5873	76	5	=	=	SYM
ejpam-5873	76	6	(	(	PUNCT
ejpam-5873	76	7	v1	v1	NOUN
ejpam-5873	76	8	,	,	PUNCT
ejpam-5873	76	9	v1	v1	NOUN
ejpam-5873	76	10	+	+	X
ejpam-5873	76	11	v2	v2	NOUN
ejpam-5873	76	12	+	+	NOUN
ejpam-5873	76	13	1	1	NUM
ejpam-5873	76	14	,	,	PUNCT
ejpam-5873	76	15	.	.	PUNCT
ejpam-5873	76	16	.	.	PUNCT
ejpam-5873	77	1	.	.	PUNCT
ejpam-5873	78	1	,	,	PUNCT
ejpam-5873	78	2	v1	v1	VERB
ejpam-5873	78	3	+	+	X
ejpam-5873	78	4	v2	v2	X
ejpam-5873	78	5	+	+	X
ejpam-5873	78	6	·	·	PUNCT
ejpam-5873	78	7	·	·	PUNCT
ejpam-5873	78	8	·	·	PUNCT
ejpam-5873	79	1	+	+	NUM
ejpam-5873	79	2	vw	vw	PRON
ejpam-5873	79	3	+	+	CCONJ
ejpam-5873	79	4	w	w	PROPN
ejpam-5873	79	5	−	−	NOUN
ejpam-5873	79	6	1	1	NUM
ejpam-5873	79	7	)	)	PUNCT
ejpam-5873	79	8	.	.	PUNCT
ejpam-5873	80	1	(	(	PUNCT
ejpam-5873	80	2	10	10	NUM
ejpam-5873	80	3	)	)	PUNCT
ejpam-5873	80	4	n.	n.	NOUN
ejpam-5873	80	5	a.	a.	NOUN
ejpam-5873	80	6	alqwaifly	alqwaifly	PROPN
ejpam-5873	80	7	/	/	SYM
ejpam-5873	80	8	eur	eur	PROPN
ejpam-5873	80	9	.	.	PUNCT
ejpam-5873	81	1	j.	j.	PROPN
ejpam-5873	81	2	pure	pure	PROPN
ejpam-5873	81	3	appl	appl	PROPN
ejpam-5873	81	4	.	.	PROPN
ejpam-5873	81	5	math	math	PROPN
ejpam-5873	81	6	,	,	PUNCT
ejpam-5873	81	7	18	18	NUM
ejpam-5873	81	8	(	(	PUNCT
ejpam-5873	81	9	2	2	NUM
ejpam-5873	81	10	)	)	PUNCT
ejpam-5873	81	11	(	(	PUNCT
ejpam-5873	81	12	2025	2025	NUM
ejpam-5873	81	13	)	)	PUNCT
ejpam-5873	81	14	,	,	PUNCT
ejpam-5873	81	15	5873	5873	NUM
ejpam-5873	81	16	5	5	NUM
ejpam-5873	81	17	of	of	ADP
ejpam-5873	81	18	16	16	NUM
ejpam-5873	81	19	therefore	therefore	ADV
ejpam-5873	81	20	,	,	PUNCT
ejpam-5873	81	21	the	the	DET
ejpam-5873	81	22	function	function	NOUN
ejpam-5873	81	23	i(x	i(x	PROPN
ejpam-5873	81	24	)	)	PUNCT
ejpam-5873	81	25	:	:	PUNCT
ejpam-5873	82	1	zn	zn	PROPN
ejpam-5873	82	2	2	2	NUM
ejpam-5873	82	3	→	→	SYM
ejpam-5873	82	4	zw	zw	PROPN
ejpam-5873	82	5	n	n	PROPN
ejpam-5873	82	6	⊂	⊂	PROPN
ejpam-5873	82	7	n∗	n∗	PROPN
ejpam-5873	82	8	,	,	PUNCT
ejpam-5873	82	9	which	which	PRON
ejpam-5873	82	10	maps	map	VERB
ejpam-5873	82	11	a	a	DET
ejpam-5873	82	12	binary	binary	ADJ
ejpam-5873	82	13	sequence	sequence	NOUN
ejpam-5873	82	14	to	to	ADP
ejpam-5873	82	15	its	its	PRON
ejpam-5873	82	16	support	support	NOUN
ejpam-5873	82	17	,	,	PUNCT
ejpam-5873	82	18	plays	play	VERB
ejpam-5873	82	19	a	a	DET
ejpam-5873	82	20	crucial	crucial	ADJ
ejpam-5873	82	21	role	role	NOUN
ejpam-5873	82	22	in	in	ADP
ejpam-5873	82	23	explaining	explain	VERB
ejpam-5873	82	24	that	that	SCONJ
ejpam-5873	82	25	the	the	DET
ejpam-5873	82	26	peak	peak	NOUN
ejpam-5873	82	27	-	-	PUNCT
ejpam-5873	82	28	shift	shift	NOUN
ejpam-5873	82	29	ec	ec	PROPN
ejpam-5873	82	30	problem	problem	NOUN
ejpam-5873	82	31	can	can	AUX
ejpam-5873	82	32	be	be	AUX
ejpam-5873	82	33	reconsidered	reconsider	VERB
ejpam-5873	82	34	as	as	ADP
ejpam-5873	82	35	the	the	DET
ejpam-5873	82	36	l1	l1	PROPN
ejpam-5873	82	37	distance	distance	NOUN
ejpam-5873	82	38	problem	problem	NOUN
ejpam-5873	82	39	,	,	PUNCT
ejpam-5873	82	40	which	which	PRON
ejpam-5873	82	41	becomes	become	VERB
ejpam-5873	82	42	easier	easy	ADJ
ejpam-5873	82	43	to	to	PART
ejpam-5873	82	44	solve	solve	VERB
ejpam-5873	82	45	.	.	PUNCT
ejpam-5873	83	1	assume	assume	VERB
ejpam-5873	83	2	x	x	X
ejpam-5873	83	3	=	=	SYM
ejpam-5873	83	4	(	(	PUNCT
ejpam-5873	83	5	x1	x1	PROPN
ejpam-5873	83	6	,	,	PUNCT
ejpam-5873	83	7	x2	x2	PROPN
ejpam-5873	83	8	,	,	PUNCT
ejpam-5873	83	9	.	.	PUNCT
ejpam-5873	83	10	.	.	PUNCT
ejpam-5873	84	1	.	.	PUNCT
ejpam-5873	85	1	,	,	PUNCT
ejpam-5873	85	2	xn	xn	X
ejpam-5873	85	3	)	)	PUNCT
ejpam-5873	85	4	∈	∈	PROPN
ejpam-5873	85	5	z2	z2	PROPN
ejpam-5873	85	6	.	.	PUNCT
ejpam-5873	86	1	the	the	DET
ejpam-5873	86	2	function	function	NOUN
ejpam-5873	86	3	i(x	i(x	PROPN
ejpam-5873	86	4	)	)	PUNCT
ejpam-5873	86	5	can	can	AUX
ejpam-5873	86	6	be	be	AUX
ejpam-5873	86	7	simply	simply	ADV
ejpam-5873	86	8	defined	define	VERB
ejpam-5873	86	9	as	as	ADP
ejpam-5873	86	10	i(x	i(x	NOUN
ejpam-5873	86	11	)	)	PUNCT
ejpam-5873	87	1	=	=	PRON
ejpam-5873	87	2	{	{	PUNCT
ejpam-5873	88	1	i	i	NOUN
ejpam-5873	88	2	:	:	PUNCT
ejpam-5873	88	3	xi	xi	X
ejpam-5873	88	4	=	=	SYM
ejpam-5873	88	5	1	1	NUM
ejpam-5873	88	6	}	}	PUNCT
ejpam-5873	88	7	,	,	PUNCT
ejpam-5873	88	8	returning	return	VERB
ejpam-5873	88	9	the	the	DET
ejpam-5873	88	10	set	set	NOUN
ejpam-5873	88	11	of	of	ADP
ejpam-5873	88	12	indices	index	NOUN
ejpam-5873	88	13	where	where	SCONJ
ejpam-5873	88	14	the	the	DET
ejpam-5873	88	15	binary	binary	ADJ
ejpam-5873	88	16	sequence	sequence	NOUN
ejpam-5873	88	17	x	x	PUNCT
ejpam-5873	88	18	has	have	VERB
ejpam-5873	88	19	1	1	NUM
ejpam-5873	88	20	.	.	PUNCT
ejpam-5873	89	1	for	for	ADP
ejpam-5873	89	2	example	example	NOUN
ejpam-5873	89	3	,	,	PUNCT
ejpam-5873	89	4	given	give	VERB
ejpam-5873	89	5	n	n	NOUN
ejpam-5873	89	6	=	=	SYM
ejpam-5873	89	7	22	22	NUM
ejpam-5873	89	8	,	,	PUNCT
ejpam-5873	89	9	w	w	NOUN
ejpam-5873	89	10	=	=	SYM
ejpam-5873	89	11	7	7	X
ejpam-5873	89	12	.	.	PUNCT
ejpam-5873	90	1	let	let	VERB
ejpam-5873	90	2	x	x	PUNCT
ejpam-5873	90	3	=	=	SYM
ejpam-5873	90	4	01	01	NUM
ejpam-5873	90	5	001	001	NUM
ejpam-5873	90	6	01	01	NUM
ejpam-5873	90	7	0001	0001	NUM
ejpam-5873	90	8	01	01	NUM
ejpam-5873	90	9	1	1	NUM
ejpam-5873	90	10	1	1	NUM
ejpam-5873	90	11	0000000	0000000	NUM
ejpam-5873	90	12	∈	∈	PROPN
ejpam-5873	90	13	z22	z22	NOUN
ejpam-5873	90	14	2	2	NUM
ejpam-5873	90	15	,	,	PUNCT
ejpam-5873	90	16	then	then	ADV
ejpam-5873	90	17	v	v	X
ejpam-5873	90	18	(	(	PUNCT
ejpam-5873	90	19	x	x	NOUN
ejpam-5873	90	20	)	)	PUNCT
ejpam-5873	90	21	=	=	SYM
ejpam-5873	90	22	(	(	PUNCT
ejpam-5873	90	23	1	1	NUM
ejpam-5873	90	24	,	,	PUNCT
ejpam-5873	90	25	2	2	NUM
ejpam-5873	90	26	,	,	PUNCT
ejpam-5873	90	27	1	1	NUM
ejpam-5873	90	28	,	,	PUNCT
ejpam-5873	90	29	3	3	NUM
ejpam-5873	90	30	,	,	PUNCT
ejpam-5873	90	31	1	1	NUM
ejpam-5873	90	32	,	,	PUNCT
ejpam-5873	90	33	0	0	NUM
ejpam-5873	90	34	,	,	PUNCT
ejpam-5873	90	35	0	0	NUM
ejpam-5873	90	36	,	,	PUNCT
ejpam-5873	90	37	7	7	X
ejpam-5873	90	38	)	)	PUNCT
ejpam-5873	90	39	∈	∈	PROPN
ejpam-5873	90	40	n∗	n∗	PROPN
ejpam-5873	90	41	,	,	PUNCT
ejpam-5873	90	42	and	and	CCONJ
ejpam-5873	90	43	i(x	i(x	NOUN
ejpam-5873	90	44	)	)	PUNCT
ejpam-5873	90	45	=	=	PUNCT
ejpam-5873	91	1	(	(	PUNCT
ejpam-5873	91	2	1	1	NUM
ejpam-5873	91	3	,	,	PUNCT
ejpam-5873	91	4	4	4	NUM
ejpam-5873	91	5	,	,	PUNCT
ejpam-5873	91	6	6	6	NUM
ejpam-5873	91	7	,	,	PUNCT
ejpam-5873	91	8	10	10	NUM
ejpam-5873	91	9	,	,	PUNCT
ejpam-5873	91	10	12	12	NUM
ejpam-5873	91	11	,	,	PUNCT
ejpam-5873	91	12	13	13	NUM
ejpam-5873	91	13	,	,	PUNCT
ejpam-5873	91	14	14	14	NUM
ejpam-5873	91	15	)	)	PUNCT
ejpam-5873	91	16	∈	∈	PROPN
ejpam-5873	91	17	z7	z7	PROPN
ejpam-5873	91	18	22	22	NUM
ejpam-5873	91	19	⊂	⊂	PROPN
ejpam-5873	91	20	n∗.	n∗.	PROPN
ejpam-5873	91	21	now	now	ADV
ejpam-5873	91	22	,	,	PUNCT
ejpam-5873	91	23	the	the	DET
ejpam-5873	91	24	peak	peak	NOUN
ejpam-5873	91	25	-	-	PUNCT
ejpam-5873	91	26	shift	shift	NOUN
ejpam-5873	91	27	errors	error	NOUN
ejpam-5873	91	28	occur	occur	VERB
ejpam-5873	91	29	when	when	SCONJ
ejpam-5873	91	30	the	the	DET
ejpam-5873	91	31	peaks	peak	NOUN
ejpam-5873	91	32	(	(	PUNCT
ejpam-5873	91	33	positions	position	NOUN
ejpam-5873	91	34	of	of	ADP
ejpam-5873	91	35	ones	one	NOUN
ejpam-5873	91	36	)	)	PUNCT
ejpam-5873	91	37	shift	shift	VERB
ejpam-5873	91	38	either	either	CCONJ
ejpam-5873	91	39	left	left	ADJ
ejpam-5873	91	40	or	or	CCONJ
ejpam-5873	91	41	right	right	ADJ
ejpam-5873	91	42	,	,	PUNCT
ejpam-5873	91	43	as	as	SCONJ
ejpam-5873	91	44	stated	state	VERB
ejpam-5873	91	45	in	in	ADP
ejpam-5873	91	46	the	the	DET
ejpam-5873	91	47	above	above	ADJ
ejpam-5873	91	48	example	example	NOUN
ejpam-5873	91	49	.	.	PUNCT
ejpam-5873	92	1	since	since	SCONJ
ejpam-5873	92	2	the	the	DET
ejpam-5873	92	3	scope	scope	NOUN
ejpam-5873	92	4	of	of	ADP
ejpam-5873	92	5	this	this	DET
ejpam-5873	92	6	discussion	discussion	NOUN
ejpam-5873	92	7	is	be	AUX
ejpam-5873	92	8	restricted	restrict	VERB
ejpam-5873	92	9	to	to	ADP
ejpam-5873	92	10	sequences	sequence	NOUN
ejpam-5873	92	11	of	of	ADP
ejpam-5873	92	12	fixed	fix	VERB
ejpam-5873	92	13	length	length	NOUN
ejpam-5873	92	14	n	n	PROPN
ejpam-5873	92	15	and	and	CCONJ
ejpam-5873	92	16	fixed	fix	VERB
ejpam-5873	92	17	hamming	ham	VERB
ejpam-5873	92	18	weight	weight	NOUN
ejpam-5873	92	19	w	w	NOUN
ejpam-5873	92	20	,	,	PUNCT
ejpam-5873	92	21	the	the	DET
ejpam-5873	92	22	mapping	mapping	NOUN
ejpam-5873	92	23	i	i	PRON
ejpam-5873	92	24	in	in	ADP
ejpam-5873	92	25	(	(	PUNCT
ejpam-5873	92	26	10	10	NUM
ejpam-5873	92	27	)	)	PUNCT
ejpam-5873	92	28	becomes	become	VERB
ejpam-5873	92	29	a	a	DET
ejpam-5873	92	30	bijection	bijection	ADJ
ejpam-5873	92	31	function	function	NOUN
ejpam-5873	92	32	from	from	ADP
ejpam-5873	92	33	the	the	DET
ejpam-5873	92	34	set	set	NOUN
ejpam-5873	92	35	of	of	ADP
ejpam-5873	92	36	all	all	DET
ejpam-5873	92	37	binary	binary	ADJ
ejpam-5873	92	38	words	word	NOUN
ejpam-5873	92	39	of	of	ADP
ejpam-5873	92	40	any	any	DET
ejpam-5873	92	41	finite	finite	NOUN
ejpam-5873	92	42	length	length	NOUN
ejpam-5873	92	43	n∈n	n∈n	ADV
ejpam-5873	92	44	and	and	CCONJ
ejpam-5873	92	45	hamming	ham	VERB
ejpam-5873	92	46	weight	weight	NOUN
ejpam-5873	92	47	w	w	NOUN
ejpam-5873	93	1	(=	(=	NOUN
ejpam-5873	93	2	number	number	NOUN
ejpam-5873	93	3	of	of	ADP
ejpam-5873	93	4	1	1	NUM
ejpam-5873	93	5	’	'	PUNCT
ejpam-5873	93	6	of	of	ADP
ejpam-5873	93	7	the	the	DET
ejpam-5873	93	8	binary	binary	ADJ
ejpam-5873	93	9	words	word	NOUN
ejpam-5873	93	10	)	)	PUNCT
ejpam-5873	93	11	into	into	ADP
ejpam-5873	93	12	words	word	NOUN
ejpam-5873	93	13	over	over	ADP
ejpam-5873	93	14	n	n	PROPN
ejpam-5873	93	15	of	of	ADP
ejpam-5873	93	16	length	length	NOUN
ejpam-5873	93	17	w.	w.	PROPN
ejpam-5873	93	18	therefore	therefore	ADV
ejpam-5873	93	19	,	,	PUNCT
ejpam-5873	93	20	it	it	PRON
ejpam-5873	93	21	enables	enable	VERB
ejpam-5873	93	22	this	this	DET
ejpam-5873	93	23	transformation	transformation	NOUN
ejpam-5873	93	24	and	and	CCONJ
ejpam-5873	93	25	preserves	preserve	VERB
ejpam-5873	93	26	the	the	DET
ejpam-5873	93	27	distance	distance	NOUN
ejpam-5873	93	28	as	as	SCONJ
ejpam-5873	93	29	stated	state	VERB
ejpam-5873	93	30	in	in	ADP
ejpam-5873	93	31	theorem	theorem	NOUN
ejpam-5873	93	32	1	1	NUM
ejpam-5873	93	33	.	.	PUNCT
ejpam-5873	94	1	thus	thus	ADV
ejpam-5873	94	2	,	,	PUNCT
ejpam-5873	94	3	it	it	PRON
ejpam-5873	94	4	establishes	establish	VERB
ejpam-5873	94	5	the	the	DET
ejpam-5873	94	6	equivalence	equivalence	NOUN
ejpam-5873	94	7	between	between	ADP
ejpam-5873	94	8	the	the	DET
ejpam-5873	94	9	spaces	space	NOUN
ejpam-5873	94	10	b(z2	b(z2	PROPN
ejpam-5873	94	11	,	,	PUNCT
ejpam-5873	94	12	n	n	CCONJ
ejpam-5873	94	13	,	,	PUNCT
ejpam-5873	94	14	w	w	NOUN
ejpam-5873	94	15	)	)	PUNCT
ejpam-5873	94	16	and	and	CCONJ
ejpam-5873	94	17	b(zw	b(zw	PROPN
ejpam-5873	94	18	n	n	PROPN
ejpam-5873	94	19	,	,	PUNCT
ejpam-5873	94	20	n	n	CCONJ
ejpam-5873	94	21	,	,	PUNCT
ejpam-5873	94	22	w	w	NOUN
ejpam-5873	94	23	)	)	PUNCT
ejpam-5873	94	24	and	and	CCONJ
ejpam-5873	94	25	hence	hence	ADV
ejpam-5873	94	26	between	between	ADP
ejpam-5873	94	27	the	the	DET
ejpam-5873	94	28	metrics	metric	NOUN
ejpam-5873	94	29	dbs(x	dbs(x	PROPN
ejpam-5873	94	30	,	,	PUNCT
ejpam-5873	94	31	y	y	PROPN
ejpam-5873	94	32	)	)	PUNCT
ejpam-5873	94	33	and	and	CCONJ
ejpam-5873	94	34	dsyl1	dsyl1	NOUN
ejpam-5873	94	35	(	(	PUNCT
ejpam-5873	94	36	i(x	i(x	PROPN
ejpam-5873	94	37	)	)	PUNCT
ejpam-5873	94	38	,	,	PUNCT
ejpam-5873	94	39	(	(	PUNCT
ejpam-5873	94	40	y	y	PROPN
ejpam-5873	94	41	)	)	PUNCT
ejpam-5873	94	42	)	)	PUNCT
ejpam-5873	94	43	,	,	PUNCT
ejpam-5873	94	44	where	where	SCONJ
ejpam-5873	94	45	dbs	dbs	PROPN
ejpam-5873	94	46	stands	stand	VERB
ejpam-5873	94	47	for	for	ADP
ejpam-5873	94	48	the	the	DET
ejpam-5873	94	49	bit	bit	ADJ
ejpam-5873	94	50	-	-	PUNCT
ejpam-5873	94	51	shift	shift	NOUN
ejpam-5873	94	52	distance	distance	NOUN
ejpam-5873	94	53	.	.	PUNCT
ejpam-5873	95	1	therefore	therefore	ADV
ejpam-5873	95	2	,	,	PUNCT
ejpam-5873	95	3	the	the	DET
ejpam-5873	95	4	peak	peak	NOUN
ejpam-5873	95	5	-	-	PUNCT
ejpam-5873	95	6	shift	shift	NOUN
ejpam-5873	95	7	error	error	NOUN
ejpam-5873	95	8	correction	correction	NOUN
ejpam-5873	95	9	problem	problem	NOUN
ejpam-5873	95	10	is	be	AUX
ejpam-5873	95	11	reformulated	reformulate	VERB
ejpam-5873	95	12	with	with	ADP
ejpam-5873	95	13	the	the	DET
ejpam-5873	95	14	l1	l1	PROPN
ejpam-5873	95	15	distance	distance	NOUN
ejpam-5873	95	16	problem	problem	NOUN
ejpam-5873	95	17	.	.	PUNCT
ejpam-5873	96	1	throughout	throughout	ADP
ejpam-5873	96	2	this	this	DET
ejpam-5873	96	3	work	work	NOUN
ejpam-5873	96	4	,	,	PUNCT
ejpam-5873	96	5	we	we	PRON
ejpam-5873	96	6	define	define	VERB
ejpam-5873	96	7	this	this	DET
ejpam-5873	96	8	mapping	mapping	NOUN
ejpam-5873	96	9	as	as	ADP
ejpam-5873	96	10	”	"	PUNCT
ejpam-5873	96	11	the	the	DET
ejpam-5873	96	12	index	index	NOUN
ejpam-5873	96	13	mapping	mapping	NOUN
ejpam-5873	96	14	”	"	PUNCT
ejpam-5873	96	15	,	,	PUNCT
ejpam-5873	96	16	and	and	CCONJ
ejpam-5873	96	17	it	it	PRON
ejpam-5873	96	18	is	be	AUX
ejpam-5873	96	19	worth	worth	ADJ
ejpam-5873	96	20	mentioning	mention	VERB
ejpam-5873	96	21	that	that	SCONJ
ejpam-5873	96	22	i(x	i(x	NOUN
ejpam-5873	96	23	)	)	PUNCT
ejpam-5873	96	24	is	be	AUX
ejpam-5873	96	25	always	always	ADV
ejpam-5873	96	26	a	a	DET
ejpam-5873	96	27	strictly	strictly	ADV
ejpam-5873	96	28	increasing	increase	VERB
ejpam-5873	96	29	sequence	sequence	NOUN
ejpam-5873	96	30	.	.	PUNCT
ejpam-5873	97	1	for	for	ADP
ejpam-5873	97	2	example	example	NOUN
ejpam-5873	97	3	,	,	PUNCT
ejpam-5873	97	4	for	for	ADP
ejpam-5873	97	5	n	n	NOUN
ejpam-5873	97	6	=	=	SYM
ejpam-5873	97	7	4	4	NUM
ejpam-5873	97	8	,	,	PUNCT
ejpam-5873	97	9	the	the	DET
ejpam-5873	97	10	mapping	mapping	NOUN
ejpam-5873	97	11	i	i	PRON
ejpam-5873	97	12	acts	act	VERB
ejpam-5873	97	13	on	on	ADP
ejpam-5873	97	14	z4	z4	PROPN
ejpam-5873	97	15	2	2	NUM
ejpam-5873	97	16	is	be	AUX
ejpam-5873	97	17	reported	report	VERB
ejpam-5873	97	18	in	in	ADP
ejpam-5873	97	19	table	table	NOUN
ejpam-5873	97	20	1	1	NUM
ejpam-5873	97	21	;	;	PUNCT
ejpam-5873	97	22	the	the	DET
ejpam-5873	97	23	mapping	mapping	NOUN
ejpam-5873	97	24	i	i	PRON
ejpam-5873	97	25	acts	act	VERB
ejpam-5873	97	26	on	on	ADP
ejpam-5873	97	27	binary	binary	ADJ
ejpam-5873	97	28	sequences	sequence	NOUN
ejpam-5873	97	29	x	x	X
ejpam-5873	97	30	of	of	ADP
ejpam-5873	97	31	length	length	NOUN
ejpam-5873	97	32	n	n	NOUN
ejpam-5873	97	33	=	=	SYM
ejpam-5873	97	34	4	4	NUM
ejpam-5873	97	35	,	,	PUNCT
ejpam-5873	97	36	producing	produce	VERB
ejpam-5873	97	37	output	output	NOUN
ejpam-5873	97	38	sequences	sequence	NOUN
ejpam-5873	97	39	in	in	ADP
ejpam-5873	97	40	zw	zw	PROPN
ejpam-5873	97	41	n	n	CCONJ
ejpam-5873	97	42	.	.	PUNCT
ejpam-5873	98	1	in	in	ADP
ejpam-5873	98	2	this	this	DET
ejpam-5873	98	3	context	context	NOUN
ejpam-5873	98	4	,	,	PUNCT
ejpam-5873	98	5	m(x	m(x	PROPN
ejpam-5873	98	6	)	)	PUNCT
ejpam-5873	98	7	indicates	indicate	VERB
ejpam-5873	98	8	the	the	DET
ejpam-5873	98	9	length	length	NOUN
ejpam-5873	98	10	of	of	ADP
ejpam-5873	98	11	any	any	DET
ejpam-5873	98	12	i(x	i(x	NOUN
ejpam-5873	98	13	)	)	PUNCT
ejpam-5873	98	14	∈	∈	PROPN
ejpam-5873	98	15	zw	zw	PROPN
ejpam-5873	98	16	n	n	CCONJ
ejpam-5873	98	17	,	,	PUNCT
ejpam-5873	98	18	while	while	SCONJ
ejpam-5873	98	19	wl1(i(x	wl1(i(x	NOUN
ejpam-5873	98	20	)	)	PUNCT
ejpam-5873	98	21	)	)	PUNCT
ejpam-5873	99	1	denotes	denote	VERB
ejpam-5873	99	2	the	the	DET
ejpam-5873	99	3	l1	l1	PROPN
ejpam-5873	99	4	weight	weight	NOUN
ejpam-5873	99	5	(	(	PUNCT
ejpam-5873	99	6	i.e.	i.e.	X
ejpam-5873	99	7	,	,	PUNCT
ejpam-5873	99	8	the	the	DET
ejpam-5873	99	9	sum	sum	NOUN
ejpam-5873	99	10	of	of	ADP
ejpam-5873	99	11	values	value	NOUN
ejpam-5873	99	12	of	of	ADP
ejpam-5873	99	13	entries	entry	NOUN
ejpam-5873	99	14	)	)	PUNCT
ejpam-5873	99	15	of	of	ADP
ejpam-5873	99	16	the	the	DET
ejpam-5873	99	17	codeword	codeword	NOUN
ejpam-5873	99	18	i(x	i(x	PROPN
ejpam-5873	99	19	)	)	PUNCT
ejpam-5873	99	20	.	.	PUNCT
ejpam-5873	100	1	the	the	DET
ejpam-5873	100	2	following	follow	VERB
ejpam-5873	100	3	theorem	theorem	VERB
ejpam-5873	100	4	1	1	NUM
ejpam-5873	100	5	connects	connect	VERB
ejpam-5873	100	6	the	the	DET
ejpam-5873	100	7	peak	peak	NOUN
ejpam-5873	100	8	-	-	PUNCT
ejpam-5873	100	9	shifts	shift	NOUN
ejpam-5873	100	10	controlling	control	VERB
ejpam-5873	100	11	codes	code	NOUN
ejpam-5873	100	12	and	and	CCONJ
ejpam-5873	100	13	the	the	DET
ejpam-5873	100	14	l1	l1	PROPN
ejpam-5873	100	15	metric	metric	NOUN
ejpam-5873	100	16	.	.	PUNCT
ejpam-5873	101	1	this	this	DET
ejpam-5873	101	2	connection	connection	NOUN
ejpam-5873	101	3	is	be	AUX
ejpam-5873	101	4	similar	similar	ADJ
ejpam-5873	101	5	to	to	ADP
ejpam-5873	101	6	some	some	DET
ejpam-5873	101	7	extent	extent	NOUN
ejpam-5873	101	8	to	to	ADP
ejpam-5873	101	9	the	the	DET
ejpam-5873	101	10	ideas	idea	NOUN
ejpam-5873	101	11	in	in	ADP
ejpam-5873	101	12	[	[	X
ejpam-5873	101	13	6	6	NUM
ejpam-5873	101	14	]	]	PUNCT
ejpam-5873	101	15	.	.	PUNCT
ejpam-5873	102	1	theorem	theorem	ADJ
ejpam-5873	102	2	1	1	NUM
ejpam-5873	102	3	(	(	PUNCT
ejpam-5873	102	4	isometry	isometry	NOUN
ejpam-5873	102	5	between	between	ADP
ejpam-5873	102	6	(	(	PUNCT
ejpam-5873	102	7	b(z2	b(z2	PROPN
ejpam-5873	102	8	,	,	PUNCT
ejpam-5873	102	9	n	n	CCONJ
ejpam-5873	102	10	,	,	PUNCT
ejpam-5873	102	11	w	w	NOUN
ejpam-5873	102	12	)	)	PUNCT
ejpam-5873	102	13	,	,	PUNCT
ejpam-5873	102	14	dbs	dbs	PROPN
ejpam-5873	102	15	)	)	PUNCT
ejpam-5873	102	16	and	and	CCONJ
ejpam-5873	102	17	b(zw	b(zw	PROPN
ejpam-5873	102	18	n	n	PROPN
ejpam-5873	102	19	,	,	PUNCT
ejpam-5873	102	20	w	w	PROPN
ejpam-5873	102	21	,	,	PUNCT
ejpam-5873	102	22	n	n	CCONJ
ejpam-5873	102	23	)	)	PUNCT
ejpam-5873	102	24	,	,	PUNCT
ejpam-5873	103	1	d	d	PROPN
ejpam-5873	103	2	sy	sy	PROPN
ejpam-5873	103	3	l1	l1	PROPN
ejpam-5873	103	4	)	)	PUNCT
ejpam-5873	103	5	)	)	PUNCT
ejpam-5873	103	6	.	.	PUNCT
ejpam-5873	104	1	for	for	ADP
ejpam-5873	104	2	all	all	DET
ejpam-5873	104	3	x	x	NOUN
ejpam-5873	104	4	,	,	PUNCT
ejpam-5873	104	5	y	y	PROPN
ejpam-5873	104	6	∈	∈	PROPN
ejpam-5873	104	7	z∗	z∗	PROPN
ejpam-5873	104	8	2	2	NUM
ejpam-5873	104	9	,	,	PUNCT
ejpam-5873	104	10	dbs(x	dbs(x	PROPN
ejpam-5873	104	11	,	,	PUNCT
ejpam-5873	104	12	y	y	PROPN
ejpam-5873	104	13	)	)	PUNCT
ejpam-5873	104	14	=	=	PRON
ejpam-5873	104	15	{	{	PUNCT
ejpam-5873	104	16	dsyl1	dsyl1	NOUN
ejpam-5873	104	17	(	(	PUNCT
ejpam-5873	104	18	i(x	i(x	PROPN
ejpam-5873	104	19	)	)	PUNCT
ejpam-5873	104	20	,	,	PUNCT
ejpam-5873	104	21	i(y	i(y	NOUN
ejpam-5873	104	22	)	)	PUNCT
ejpam-5873	104	23	)	)	PUNCT
ejpam-5873	104	24	if	if	SCONJ
ejpam-5873	104	25	w(x)=w(y	w(x)=w(y	PROPN
ejpam-5873	104	26	)	)	PUNCT
ejpam-5873	104	27	,	,	PUNCT
ejpam-5873	104	28	∞	∞	PROPN
ejpam-5873	104	29	if	if	SCONJ
ejpam-5873	104	30	w(x	w(x	NOUN
ejpam-5873	104	31	)	)	PUNCT
ejpam-5873	104	32	̸=w(y	̸=w(y	VERB
ejpam-5873	104	33	)	)	PUNCT
ejpam-5873	104	34	.	.	PUNCT
ejpam-5873	105	1	(	(	PUNCT
ejpam-5873	105	2	11	11	X
ejpam-5873	105	3	)	)	PUNCT
ejpam-5873	105	4	note	note	NOUN
ejpam-5873	105	5	that	that	SCONJ
ejpam-5873	105	6	if	if	SCONJ
ejpam-5873	105	7	we	we	PRON
ejpam-5873	105	8	extend	extend	VERB
ejpam-5873	105	9	the	the	DET
ejpam-5873	105	10	domain	domain	NOUN
ejpam-5873	105	11	of	of	ADP
ejpam-5873	105	12	dsyl1	dsyl1	NOUN
ejpam-5873	105	13	to	to	PART
ejpam-5873	105	14	include	include	VERB
ejpam-5873	105	15	the	the	DET
ejpam-5873	105	16	case	case	NOUN
ejpam-5873	105	17	when	when	SCONJ
ejpam-5873	105	18	m(a	m(a	NOUN
ejpam-5873	105	19	)	)	PUNCT
ejpam-5873	105	20	̸=	̸=	PROPN
ejpam-5873	105	21	m(b	m(b	NOUN
ejpam-5873	105	22	)	)	PUNCT
ejpam-5873	105	23	,	,	PUNCT
ejpam-5873	105	24	then	then	ADV
ejpam-5873	105	25	dbs(x	dbs(x	PROPN
ejpam-5873	105	26	,	,	PUNCT
ejpam-5873	105	27	y	y	PROPN
ejpam-5873	105	28	)	)	PUNCT
ejpam-5873	105	29	<	<	X
ejpam-5873	105	30	∞	∞	NUM
ejpam-5873	105	31	⇐	⇐	PROPN
ejpam-5873	105	32	⇒	⇒	PROPN
ejpam-5873	105	33	w(x	w(x	NOUN
ejpam-5873	105	34	)	)	PUNCT
ejpam-5873	105	35	=	=	SYM
ejpam-5873	105	36	w(y	w(y	PROPN
ejpam-5873	105	37	)	)	PUNCT
ejpam-5873	105	38	and	and	CCONJ
ejpam-5873	105	39	for	for	ADP
ejpam-5873	105	40	all	all	DET
ejpam-5873	105	41	x	x	NOUN
ejpam-5873	105	42	,	,	PUNCT
ejpam-5873	105	43	y	y	PROPN
ejpam-5873	105	44	∈	∈	PROPN
ejpam-5873	105	45	z∗	z∗	PROPN
ejpam-5873	105	46	2	2	NUM
ejpam-5873	105	47	,	,	PUNCT
ejpam-5873	105	48	dbs(x	dbs(x	PROPN
ejpam-5873	105	49	,	,	PUNCT
ejpam-5873	105	50	y	y	PROPN
ejpam-5873	105	51	)	)	PUNCT
ejpam-5873	105	52	=	=	SYM
ejpam-5873	105	53	dsyl1	dsyl1	NOUN
ejpam-5873	105	54	(	(	PUNCT
ejpam-5873	105	55	i(x	i(x	PROPN
ejpam-5873	105	56	)	)	PUNCT
ejpam-5873	105	57	,	,	PUNCT
ejpam-5873	105	58	i(y	i(y	NOUN
ejpam-5873	105	59	)	)	PUNCT
ejpam-5873	105	60	)	)	PUNCT
ejpam-5873	105	61	.	.	PUNCT
ejpam-5873	106	1	this	this	PRON
ejpam-5873	106	2	means	mean	VERB
ejpam-5873	106	3	that	that	SCONJ
ejpam-5873	106	4	the	the	DET
ejpam-5873	106	5	mapping	mapping	NOUN
ejpam-5873	106	6	i	i	PRON
ejpam-5873	106	7	in	in	ADP
ejpam-5873	106	8	(	(	PUNCT
ejpam-5873	106	9	10	10	NUM
ejpam-5873	106	10	)	)	PUNCT
ejpam-5873	106	11	is	be	AUX
ejpam-5873	106	12	an	an	DET
ejpam-5873	106	13	isometry	isometry	NOUN
ejpam-5873	106	14	(	(	PUNCT
ejpam-5873	106	15	a	a	DET
ejpam-5873	106	16	distance	distance	NOUN
ejpam-5873	106	17	-	-	PUNCT
ejpam-5873	106	18	preserving	preserve	VERB
ejpam-5873	106	19	transformation	transformation	NOUN
ejpam-5873	106	20	)	)	PUNCT
ejpam-5873	106	21	between	between	ADP
ejpam-5873	106	22	the	the	DET
ejpam-5873	106	23	metric	metric	ADJ
ejpam-5873	106	24	spaces	space	NOUN
ejpam-5873	106	25	(	(	PUNCT
ejpam-5873	106	26	z∗	z∗	NOUN
ejpam-5873	106	27	2	2	NUM
ejpam-5873	106	28	,	,	PUNCT
ejpam-5873	106	29	dbs	dbs	PROPN
ejpam-5873	106	30	)	)	PUNCT
ejpam-5873	106	31	and	and	CCONJ
ejpam-5873	106	32	(	(	PUNCT
ejpam-5873	106	33	n∗	n∗	PROPN
ejpam-5873	106	34	,	,	PUNCT
ejpam-5873	106	35	dsyl1	dsyl1	NOUN
ejpam-5873	106	36	)	)	PUNCT
ejpam-5873	106	37	.	.	PUNCT
ejpam-5873	107	1	the	the	DET
ejpam-5873	107	2	dbs	dbs	PROPN
ejpam-5873	107	3	stands	stand	VERB
ejpam-5873	107	4	for	for	ADP
ejpam-5873	107	5	the	the	DET
ejpam-5873	107	6	bit	bit	ADJ
ejpam-5873	107	7	-	-	PUNCT
ejpam-5873	107	8	shift	shift	NOUN
ejpam-5873	107	9	distance	distance	NOUN
ejpam-5873	107	10	.	.	PUNCT
ejpam-5873	108	1	for	for	ADP
ejpam-5873	108	2	example	example	NOUN
ejpam-5873	108	3	,	,	PUNCT
ejpam-5873	108	4	case	case	NOUN
ejpam-5873	108	5	1	1	NUM
ejpam-5873	108	6	:	:	PUNCT
ejpam-5873	108	7	wh(x	wh(x	X
ejpam-5873	108	8	)	)	PUNCT
ejpam-5873	109	1	=	=	SYM
ejpam-5873	109	2	wh(y	wh(y	X
ejpam-5873	109	3	)	)	PUNCT
ejpam-5873	109	4	.	.	PUNCT
ejpam-5873	110	1	assume	assume	VERB
ejpam-5873	110	2	x	x	X
ejpam-5873	110	3	=	=	SYM
ejpam-5873	110	4	0101100	0101100	NUM
ejpam-5873	110	5	and	and	CCONJ
ejpam-5873	110	6	y	y	PROPN
ejpam-5873	110	7	=	=	SYM
ejpam-5873	110	8	0011100	0011100	NUM
ejpam-5873	110	9	.	.	PUNCT
ejpam-5873	111	1	thus	thus	ADV
ejpam-5873	111	2	,	,	PUNCT
ejpam-5873	111	3	v	v	INTJ
ejpam-5873	111	4	(	(	PUNCT
ejpam-5873	111	5	x	x	NOUN
ejpam-5873	111	6	)	)	PUNCT
ejpam-5873	111	7	=	=	SYM
ejpam-5873	111	8	1102	1102	NUM
ejpam-5873	111	9	∼	∼	NOUN
ejpam-5873	111	10	i(x	i(x	NOUN
ejpam-5873	111	11	)	)	PUNCT
ejpam-5873	111	12	=	=	SYM
ejpam-5873	112	1	134	134	NUM
ejpam-5873	112	2	and	and	CCONJ
ejpam-5873	112	3	v	v	NOUN
ejpam-5873	112	4	(	(	PUNCT
ejpam-5873	112	5	y	y	NOUN
ejpam-5873	112	6	)	)	PUNCT
ejpam-5873	113	1	=	=	SYM
ejpam-5873	113	2	2002	2002	NUM
ejpam-5873	113	3	∼	∼	NOUN
ejpam-5873	113	4	i(y	i(y	NOUN
ejpam-5873	113	5	)	)	PUNCT
ejpam-5873	113	6	=	=	SYM
ejpam-5873	114	1	234	234	NUM
ejpam-5873	114	2	.	.	PUNCT
ejpam-5873	115	1	now	now	ADV
ejpam-5873	115	2	,	,	PUNCT
ejpam-5873	115	3	a	a	DET
ejpam-5873	115	4	ℓr	ℓr	NOUN
ejpam-5873	115	5	=	=	SYM
ejpam-5873	115	6	1	1	NUM
ejpam-5873	115	7	peak	peak	NOUN
ejpam-5873	115	8	shift	shift	NOUN
ejpam-5873	115	9	of	of	ADP
ejpam-5873	115	10	size	size	NOUN
ejpam-5873	115	11	1	1	NUM
ejpam-5873	115	12	will	will	AUX
ejpam-5873	115	13	transfer	transfer	VERB
ejpam-5873	115	14	x	x	PUNCT
ejpam-5873	115	15	to	to	ADP
ejpam-5873	115	16	y	y	PROPN
ejpam-5873	115	17	.	.	PUNCT
ejpam-5873	116	1	thus	thus	ADV
ejpam-5873	116	2	,	,	PUNCT
ejpam-5873	116	3	dbs(x	dbs(x	PROPN
ejpam-5873	116	4	,	,	PUNCT
ejpam-5873	116	5	y	y	PROPN
ejpam-5873	116	6	)	)	PUNCT
ejpam-5873	117	1	=	=	SYM
ejpam-5873	117	2	1	1	NUM
ejpam-5873	117	3	and	and	CCONJ
ejpam-5873	117	4	dasl1	dasl1	NOUN
ejpam-5873	117	5	(	(	PUNCT
ejpam-5873	117	6	i(x	i(x	PROPN
ejpam-5873	117	7	)	)	PUNCT
ejpam-5873	117	8	,	,	PUNCT
ejpam-5873	117	9	i(y	i(y	NOUN
ejpam-5873	117	10	)	)	PUNCT
ejpam-5873	117	11	)	)	PUNCT
ejpam-5873	118	1	=	=	SYM
ejpam-5873	118	2	1	1	X
ejpam-5873	118	3	.	.	PUNCT
ejpam-5873	118	4	n.	n.	PROPN
ejpam-5873	118	5	a.	a.	NOUN
ejpam-5873	118	6	alqwaifly	alqwaifly	PROPN
ejpam-5873	118	7	/	/	SYM
ejpam-5873	118	8	eur	eur	PROPN
ejpam-5873	118	9	.	.	PUNCT
ejpam-5873	119	1	j.	j.	PROPN
ejpam-5873	119	2	pure	pure	PROPN
ejpam-5873	119	3	appl	appl	PROPN
ejpam-5873	119	4	.	.	PROPN
ejpam-5873	119	5	math	math	PROPN
ejpam-5873	119	6	,	,	PUNCT
ejpam-5873	119	7	18	18	NUM
ejpam-5873	119	8	(	(	PUNCT
ejpam-5873	119	9	2	2	NUM
ejpam-5873	119	10	)	)	PUNCT
ejpam-5873	119	11	(	(	PUNCT
ejpam-5873	119	12	2025	2025	NUM
ejpam-5873	119	13	)	)	PUNCT
ejpam-5873	119	14	,	,	PUNCT
ejpam-5873	119	15	5873	5873	NUM
ejpam-5873	119	16	6	6	NUM
ejpam-5873	119	17	of	of	ADP
ejpam-5873	119	18	16	16	NUM
ejpam-5873	119	19	table	table	NOUN
ejpam-5873	119	20	1	1	NUM
ejpam-5873	119	21	:	:	PUNCT
ejpam-5873	119	22	action	action	NOUN
ejpam-5873	119	23	of	of	ADP
ejpam-5873	119	24	the	the	DET
ejpam-5873	119	25	mapping	mapping	NOUN
ejpam-5873	119	26	i	i	PRON
ejpam-5873	119	27	on	on	ADP
ejpam-5873	119	28	binary	binary	ADJ
ejpam-5873	119	29	sequences	sequence	NOUN
ejpam-5873	119	30	of	of	ADP
ejpam-5873	119	31	length	length	NOUN
ejpam-5873	119	32	n	n	NOUN
ejpam-5873	119	33	=	=	SYM
ejpam-5873	119	34	4	4	NUM
ejpam-5873	119	35	z4	z4	PROPN
ejpam-5873	119	36	2	2	NUM
ejpam-5873	119	37	space	space	NOUN
ejpam-5873	119	38	zw	zw	NOUN
ejpam-5873	119	39	4	4	NUM
ejpam-5873	119	40	space	space	NOUN
ejpam-5873	119	41	weight	weight	PROPN
ejpam-5873	119	42	w(x	w(x	NOUN
ejpam-5873	119	43	)	)	PUNCT
ejpam-5873	119	44	sequence	sequence	NOUN
ejpam-5873	119	45	x	x	SYM
ejpam-5873	119	46	i(x	i(x	NOUN
ejpam-5873	119	47	)	)	PUNCT
ejpam-5873	119	48	m(i(x	m(i(x	PROPN
ejpam-5873	119	49	)	)	PUNCT
ejpam-5873	119	50	)	)	PUNCT
ejpam-5873	119	51	wl1(i(x	wl1(i(x	NOUN
ejpam-5873	119	52	)	)	PUNCT
ejpam-5873	119	53	)	)	PUNCT
ejpam-5873	119	54	0	0	NUM
ejpam-5873	119	55	0000	0000	NUM
ejpam-5873	120	1	−	−	NOUN
ejpam-5873	120	2	0	0	NUM
ejpam-5873	120	3	0	0	NUM
ejpam-5873	120	4	0001	0001	NUM
ejpam-5873	120	5	3	3	NUM
ejpam-5873	120	6	3	3	NUM
ejpam-5873	120	7	0010	0010	NUM
ejpam-5873	120	8	2	2	NUM
ejpam-5873	120	9	1	1	NUM
ejpam-5873	120	10	2	2	NUM
ejpam-5873	120	11	0100	0100	NUM
ejpam-5873	120	12	1	1	NUM
ejpam-5873	120	13	1	1	NUM
ejpam-5873	120	14	1000	1000	NUM
ejpam-5873	120	15	0	0	NUM
ejpam-5873	120	16	0	0	NUM
ejpam-5873	120	17	0011	0011	NUM
ejpam-5873	120	18	23	23	NUM
ejpam-5873	120	19	5	5	NUM
ejpam-5873	120	20	0101	0101	NUM
ejpam-5873	120	21	13	13	NUM
ejpam-5873	120	22	4	4	NUM
ejpam-5873	120	23	0110	0110	NUM
ejpam-5873	120	24	12	12	NUM
ejpam-5873	120	25	2	2	NUM
ejpam-5873	120	26	3	3	NUM
ejpam-5873	120	27	1001	1001	NUM
ejpam-5873	120	28	03	03	NUM
ejpam-5873	120	29	3	3	NUM
ejpam-5873	120	30	1010	1010	NUM
ejpam-5873	120	31	02	02	NUM
ejpam-5873	120	32	2	2	NUM
ejpam-5873	120	33	1100	1100	NUM
ejpam-5873	120	34	01	01	NUM
ejpam-5873	120	35	1	1	NUM
ejpam-5873	120	36	0111	0111	NUM
ejpam-5873	120	37	123	123	NUM
ejpam-5873	120	38	6	6	NUM
ejpam-5873	120	39	1011	1011	NUM
ejpam-5873	120	40	023	023	NUM
ejpam-5873	120	41	3	3	NUM
ejpam-5873	120	42	5	5	NUM
ejpam-5873	120	43	1101	1101	NUM
ejpam-5873	120	44	013	013	NUM
ejpam-5873	120	45	4	4	NUM
ejpam-5873	120	46	1110	1110	NUM
ejpam-5873	120	47	012	012	NUM
ejpam-5873	120	48	3	3	NUM
ejpam-5873	120	49	4	4	NUM
ejpam-5873	120	50	1111	1111	NUM
ejpam-5873	120	51	0123	0123	NUM
ejpam-5873	120	52	4	4	NUM
ejpam-5873	120	53	6	6	NUM
ejpam-5873	120	54	case	case	NOUN
ejpam-5873	120	55	2	2	NUM
ejpam-5873	120	56	:	:	PUNCT
ejpam-5873	120	57	wh(x	wh(x	X
ejpam-5873	120	58	)	)	PUNCT
ejpam-5873	120	59	̸=	̸=	PROPN
ejpam-5873	120	60	wh(y	wh(y	PRON
ejpam-5873	120	61	)	)	PUNCT
ejpam-5873	120	62	.	.	PUNCT
ejpam-5873	121	1	assume	assume	VERB
ejpam-5873	121	2	x	x	X
ejpam-5873	121	3	=	=	SYM
ejpam-5873	121	4	01011001	01011001	NUM
ejpam-5873	121	5	and	and	CCONJ
ejpam-5873	121	6	y	y	PROPN
ejpam-5873	121	7	=	=	PUNCT
ejpam-5873	121	8	0011100	0011100	NUM
ejpam-5873	121	9	.	.	PUNCT
ejpam-5873	122	1	thus	thus	ADV
ejpam-5873	122	2	,	,	PUNCT
ejpam-5873	122	3	v	v	INTJ
ejpam-5873	122	4	(	(	PUNCT
ejpam-5873	122	5	x	x	NOUN
ejpam-5873	122	6	)	)	PUNCT
ejpam-5873	122	7	=	=	SYM
ejpam-5873	122	8	11020	11020	NUM
ejpam-5873	122	9	∼	∼	NOUN
ejpam-5873	122	10	i(x	i(x	NOUN
ejpam-5873	122	11	)	)	PUNCT
ejpam-5873	122	12	=	=	SYM
ejpam-5873	123	1	1347	1347	NUM
ejpam-5873	123	2	and	and	CCONJ
ejpam-5873	123	3	v	v	NOUN
ejpam-5873	123	4	(	(	PUNCT
ejpam-5873	123	5	y	y	NOUN
ejpam-5873	123	6	)	)	PUNCT
ejpam-5873	124	1	=	=	SYM
ejpam-5873	124	2	2002	2002	NUM
ejpam-5873	124	3	∼	∼	NOUN
ejpam-5873	124	4	i(y	i(y	NOUN
ejpam-5873	124	5	)	)	PUNCT
ejpam-5873	124	6	=	=	SYM
ejpam-5873	125	1	234	234	NUM
ejpam-5873	125	2	.	.	PUNCT
ejpam-5873	126	1	now	now	ADV
ejpam-5873	126	2	,	,	PUNCT
ejpam-5873	126	3	since	since	SCONJ
ejpam-5873	126	4	wh(x	wh(x	PUNCT
ejpam-5873	126	5	)	)	PUNCT
ejpam-5873	126	6	̸=	̸=	PROPN
ejpam-5873	126	7	wh(y	wh(y	PRON
ejpam-5873	126	8	)	)	PUNCT
ejpam-5873	126	9	,	,	PUNCT
ejpam-5873	126	10	x	x	PRON
ejpam-5873	126	11	will	will	AUX
ejpam-5873	126	12	never	never	ADV
ejpam-5873	126	13	transfer	transfer	VERB
ejpam-5873	126	14	to	to	ADP
ejpam-5873	126	15	y	y	PROPN
ejpam-5873	126	16	.	.	PUNCT
ejpam-5873	127	1	thus	thus	ADV
ejpam-5873	127	2	,	,	PUNCT
ejpam-5873	127	3	dbs(x	dbs(x	PROPN
ejpam-5873	127	4	,	,	PUNCT
ejpam-5873	127	5	y	y	PROPN
ejpam-5873	127	6	)	)	PUNCT
ejpam-5873	128	1	=	=	SYM
ejpam-5873	128	2	∞	∞	PROPN
ejpam-5873	128	3	and	and	CCONJ
ejpam-5873	128	4	dasl1	dasl1	NOUN
ejpam-5873	128	5	(	(	PUNCT
ejpam-5873	128	6	i(x	i(x	PROPN
ejpam-5873	128	7	)	)	PUNCT
ejpam-5873	128	8	,	,	PUNCT
ejpam-5873	128	9	i(y	i(y	NOUN
ejpam-5873	128	10	)	)	PUNCT
ejpam-5873	128	11	)	)	PUNCT
ejpam-5873	129	1	=	=	SYM
ejpam-5873	129	2	∞.	∞.	PROPN
ejpam-5873	129	3	the	the	DET
ejpam-5873	129	4	function	function	NOUN
ejpam-5873	129	5	i	i	PROPN
ejpam-5873	129	6	,	,	PUNCT
ejpam-5873	129	7	and	and	CCONJ
ejpam-5873	129	8	therefore	therefore	ADV
ejpam-5873	129	9	i−1	i−1	PROPN
ejpam-5873	129	10	,	,	PUNCT
ejpam-5873	129	11	is	be	AUX
ejpam-5873	129	12	a	a	DET
ejpam-5873	129	13	one	one	NUM
ejpam-5873	129	14	-	-	PUNCT
ejpam-5873	129	15	to	to	ADP
ejpam-5873	129	16	-	-	PUNCT
ejpam-5873	129	17	one	one	NUM
ejpam-5873	129	18	mapping	mapping	NOUN
ejpam-5873	129	19	such	such	ADJ
ejpam-5873	129	20	that	that	SCONJ
ejpam-5873	129	21	i(b(z2	i(b(z2	PROPN
ejpam-5873	129	22	,	,	PUNCT
ejpam-5873	129	23	n	n	CCONJ
ejpam-5873	129	24	,	,	PUNCT
ejpam-5873	129	25	w	w	NOUN
ejpam-5873	129	26	)	)	PUNCT
ejpam-5873	129	27	)	)	PUNCT
ejpam-5873	130	1	=	=	PUNCT
ejpam-5873	130	2	b(zw	b(zw	PROPN
ejpam-5873	130	3	n	n	PROPN
ejpam-5873	130	4	,	,	PUNCT
ejpam-5873	130	5	w	w	PROPN
ejpam-5873	130	6	,	,	PUNCT
ejpam-5873	130	7	n	n	CCONJ
ejpam-5873	130	8	)	)	PUNCT
ejpam-5873	130	9	,	,	PUNCT
ejpam-5873	130	10	and	and	CCONJ
ejpam-5873	130	11	b(z2	b(z2	PROPN
ejpam-5873	130	12	,	,	PUNCT
ejpam-5873	130	13	n	n	CCONJ
ejpam-5873	130	14	,	,	PUNCT
ejpam-5873	130	15	w	w	NOUN
ejpam-5873	130	16	)	)	PUNCT
ejpam-5873	130	17	=	=	SYM
ejpam-5873	130	18	i−1(b(zw	i−1(b(zw	PROPN
ejpam-5873	130	19	n	n	PROPN
ejpam-5873	130	20	,	,	PUNCT
ejpam-5873	130	21	w	w	PROPN
ejpam-5873	130	22	,	,	PUNCT
ejpam-5873	130	23	n	n	CCONJ
ejpam-5873	130	24	)	)	PUNCT
ejpam-5873	130	25	)	)	PUNCT
ejpam-5873	130	26	.	.	PUNCT
ejpam-5873	131	1	this	this	DET
ejpam-5873	131	2	one	one	NUM
ejpam-5873	131	3	-	-	PUNCT
ejpam-5873	131	4	to	to	ADP
ejpam-5873	131	5	-	-	PUNCT
ejpam-5873	131	6	one	one	NUM
ejpam-5873	131	7	correspondence	correspondence	NOUN
ejpam-5873	131	8	between	between	ADP
ejpam-5873	131	9	binary	binary	ADJ
ejpam-5873	131	10	words	word	NOUN
ejpam-5873	131	11	and	and	CCONJ
ejpam-5873	131	12	vectors	vector	NOUN
ejpam-5873	131	13	of	of	ADP
ejpam-5873	131	14	non	non	ADJ
ejpam-5873	131	15	-	-	ADJ
ejpam-5873	131	16	negative	negative	ADJ
ejpam-5873	131	17	increasing	increase	VERB
ejpam-5873	131	18	integers	integer	NOUN
ejpam-5873	131	19	plays	play	VERB
ejpam-5873	131	20	an	an	DET
ejpam-5873	131	21	important	important	ADJ
ejpam-5873	131	22	role	role	NOUN
ejpam-5873	131	23	in	in	ADP
ejpam-5873	131	24	the	the	DET
ejpam-5873	131	25	following	follow	VERB
ejpam-5873	131	26	discussion	discussion	NOUN
ejpam-5873	131	27	.	.	PUNCT
ejpam-5873	132	1	since	since	SCONJ
ejpam-5873	132	2	a	a	DET
ejpam-5873	132	3	single	single	ADJ
ejpam-5873	132	4	l	l	ADJ
ejpam-5873	132	5	-	-	PUNCT
ejpam-5873	132	6	peak	peak	NOUN
ejpam-5873	132	7	-	-	PUNCT
ejpam-5873	132	8	shift	shift	NOUN
ejpam-5873	132	9	in	in	ADP
ejpam-5873	132	10	a	a	DET
ejpam-5873	132	11	word	word	NOUN
ejpam-5873	132	12	x	x	PART
ejpam-5873	132	13	does	do	AUX
ejpam-5873	132	14	not	not	PART
ejpam-5873	132	15	change	change	VERB
ejpam-5873	132	16	the	the	DET
ejpam-5873	132	17	number	number	NOUN
ejpam-5873	132	18	,	,	PUNCT
ejpam-5873	132	19	but	but	CCONJ
ejpam-5873	132	20	only	only	ADV
ejpam-5873	132	21	the	the	DET
ejpam-5873	132	22	values	value	NOUN
ejpam-5873	132	23	of	of	ADP
ejpam-5873	132	24	components	component	NOUN
ejpam-5873	132	25	in	in	ADP
ejpam-5873	132	26	the	the	DET
ejpam-5873	132	27	vector	vector	NOUN
ejpam-5873	132	28	i(x	i(x	PROPN
ejpam-5873	132	29	)	)	PUNCT
ejpam-5873	132	30	,	,	PUNCT
ejpam-5873	132	31	the	the	DET
ejpam-5873	132	32	code	code	NOUN
ejpam-5873	132	33	design	design	NOUN
ejpam-5873	132	34	in	in	ADP
ejpam-5873	132	35	section	section	NOUN
ejpam-5873	132	36	3	3	NUM
ejpam-5873	132	37	is	be	AUX
ejpam-5873	132	38	based	base	VERB
ejpam-5873	132	39	on	on	ADP
ejpam-5873	132	40	the	the	DET
ejpam-5873	132	41	i	i	PROPN
ejpam-5873	132	42	codomain	codomain	ADJ
ejpam-5873	132	43	.	.	PUNCT
ejpam-5873	133	1	3	3	X
ejpam-5873	133	2	.	.	X
ejpam-5873	133	3	non	non	ADJ
ejpam-5873	133	4	-	-	ADJ
ejpam-5873	133	5	systematic	systematic	ADJ
ejpam-5873	133	6	code	code	NOUN
ejpam-5873	133	7	design	design	NOUN
ejpam-5873	133	8	in	in	ADP
ejpam-5873	133	9	this	this	DET
ejpam-5873	133	10	section	section	NOUN
ejpam-5873	133	11	,	,	PUNCT
ejpam-5873	133	12	the	the	DET
ejpam-5873	133	13	code	code	NOUN
ejpam-5873	133	14	construction	construction	NOUN
ejpam-5873	133	15	,	,	PUNCT
ejpam-5873	133	16	lower	low	ADJ
ejpam-5873	133	17	and	and	CCONJ
ejpam-5873	133	18	upper	upper	ADJ
ejpam-5873	133	19	bounds	bound	NOUN
ejpam-5873	133	20	,	,	PUNCT
ejpam-5873	133	21	and	and	CCONJ
ejpam-5873	133	22	the	the	DET
ejpam-5873	133	23	decoding	decode	VERB
ejpam-5873	133	24	algorithm	algorithm	NOUN
ejpam-5873	133	25	for	for	ADP
ejpam-5873	133	26	a	a	DET
ejpam-5873	133	27	single	single	ADJ
ejpam-5873	133	28	l	l	NOUN
ejpam-5873	133	29	peak	peak	NOUN
ejpam-5873	133	30	-	-	PUNCT
ejpam-5873	133	31	shift	shift	NOUN
ejpam-5873	133	32	code	code	NOUN
ejpam-5873	133	33	are	be	AUX
ejpam-5873	133	34	presented	present	VERB
ejpam-5873	133	35	.	.	PUNCT
ejpam-5873	134	1	3.1	3.1	NUM
ejpam-5873	134	2	.	.	PUNCT
ejpam-5873	134	3	code	code	NOUN
ejpam-5873	134	4	design	design	NOUN
ejpam-5873	134	5	the	the	DET
ejpam-5873	134	6	proposed	propose	VERB
ejpam-5873	134	7	code	code	NOUN
ejpam-5873	134	8	design	design	NOUN
ejpam-5873	134	9	is	be	AUX
ejpam-5873	134	10	based	base	VERB
ejpam-5873	134	11	on	on	ADP
ejpam-5873	134	12	the	the	DET
ejpam-5873	134	13	l1	l1	PROPN
ejpam-5873	134	14	metric	metric	ADJ
ejpam-5873	134	15	error	error	NOUN
ejpam-5873	134	16	control	control	NOUN
ejpam-5873	134	17	σ	σ	NOUN
ejpam-5873	134	18	-	-	PUNCT
ejpam-5873	134	19	codes	code	NOUN
ejpam-5873	134	20	over	over	ADP
ejpam-5873	134	21	zq	zq	PROPN
ejpam-5873	134	22	in	in	ADP
ejpam-5873	134	23	[	[	X
ejpam-5873	134	24	10],[6	10],[6	NOUN
ejpam-5873	134	25	]	]	X
ejpam-5873	134	26	,	,	PUNCT
ejpam-5873	134	27	however	however	ADV
ejpam-5873	134	28	,	,	PUNCT
ejpam-5873	134	29	first	first	ADV
ejpam-5873	134	30	we	we	PRON
ejpam-5873	134	31	need	need	VERB
ejpam-5873	134	32	the	the	DET
ejpam-5873	134	33	following	follow	VERB
ejpam-5873	134	34	definition	definition	NOUN
ejpam-5873	134	35	of	of	ADP
ejpam-5873	134	36	the	the	DET
ejpam-5873	134	37	sigma	sigma	PROPN
ejpam-5873	134	38	polynomials	polynomial	NOUN
ejpam-5873	134	39	of	of	ADP
ejpam-5873	134	40	a	a	DET
ejpam-5873	134	41	word	word	NOUN
ejpam-5873	134	42	before	before	ADP
ejpam-5873	134	43	introducing	introduce	VERB
ejpam-5873	134	44	the	the	DET
ejpam-5873	134	45	σ	σ	NOUN
ejpam-5873	134	46	-	-	PUNCT
ejpam-5873	134	47	codes	code	NOUN
ejpam-5873	134	48	.	.	PUNCT
ejpam-5873	135	1	definition	definition	NOUN
ejpam-5873	135	2	1	1	NUM
ejpam-5873	135	3	(	(	PUNCT
ejpam-5873	135	4	[	[	X
ejpam-5873	135	5	11	11	NUM
ejpam-5873	135	6	]	]	PUNCT
ejpam-5873	135	7	:	:	PUNCT
ejpam-5873	135	8	the	the	DET
ejpam-5873	135	9	σ	σ	NOUN
ejpam-5873	135	10	-	-	PUNCT
ejpam-5873	135	11	polynomial	polynomial	NOUN
ejpam-5873	135	12	of	of	ADP
ejpam-5873	135	13	a	a	DET
ejpam-5873	135	14	word	word	NOUN
ejpam-5873	135	15	)	)	PUNCT
ejpam-5873	135	16	.	.	PUNCT
ejpam-5873	136	1	let	let	VERB
ejpam-5873	136	2	q∈n	q∈n	PROPN
ejpam-5873	136	3	∪	∪	VERB
ejpam-5873	136	4	{	{	PUNCT
ejpam-5873	136	5	∞	∞	PROPN
ejpam-5873	136	6	}	}	PUNCT
ejpam-5873	136	7	,	,	PUNCT
ejpam-5873	136	8	f	f	X
ejpam-5873	136	9	be	be	VERB
ejpam-5873	136	10	any	any	DET
ejpam-5873	136	11	field	field	NOUN
ejpam-5873	136	12	and	and	CCONJ
ejpam-5873	136	13	∂s	∂s	PROPN
ejpam-5873	136	14	⊆	⊆	NUM
ejpam-5873	136	15	f	f	NOUN
ejpam-5873	136	16	be	be	AUX
ejpam-5873	136	17	a	a	DET
ejpam-5873	136	18	set	set	NOUN
ejpam-5873	136	19	of	of	ADP
ejpam-5873	136	20	n∈n	n∈n	ADJ
ejpam-5873	136	21	distinct	distinct	ADJ
ejpam-5873	136	22	elements	element	NOUN
ejpam-5873	136	23	in	in	ADP
ejpam-5873	136	24	f.	f.	PROPN
ejpam-5873	136	25	the	the	DET
ejpam-5873	136	26	σ	σ	PROPN
ejpam-5873	136	27	-	-	PUNCT
ejpam-5873	136	28	polynomial	polynomial	ADJ
ejpam-5873	136	29	associated	associate	VERB
ejpam-5873	136	30	with	with	ADP
ejpam-5873	136	31	a	a	DET
ejpam-5873	136	32	word	word	NOUN
ejpam-5873	136	33	n.	n.	NOUN
ejpam-5873	136	34	a.	a.	NOUN
ejpam-5873	136	35	alqwaifly	alqwaifly	PROPN
ejpam-5873	136	36	/	/	SYM
ejpam-5873	136	37	eur	eur	PROPN
ejpam-5873	136	38	.	.	PUNCT
ejpam-5873	137	1	j.	j.	PROPN
ejpam-5873	137	2	pure	pure	PROPN
ejpam-5873	137	3	appl	appl	PROPN
ejpam-5873	137	4	.	.	PROPN
ejpam-5873	137	5	math	math	PROPN
ejpam-5873	137	6	,	,	PUNCT
ejpam-5873	137	7	18	18	NUM
ejpam-5873	137	8	(	(	PUNCT
ejpam-5873	137	9	2	2	NUM
ejpam-5873	137	10	)	)	PUNCT
ejpam-5873	137	11	(	(	PUNCT
ejpam-5873	137	12	2025	2025	NUM
ejpam-5873	137	13	)	)	PUNCT
ejpam-5873	137	14	,	,	PUNCT
ejpam-5873	137	15	5873	5873	NUM
ejpam-5873	137	16	7	7	NUM
ejpam-5873	137	17	of	of	ADP
ejpam-5873	137	18	16	16	NUM
ejpam-5873	137	19	x∈zn	x∈zn	NOUN
ejpam-5873	137	20	q	q	NOUN
ejpam-5873	137	21	is	be	AUX
ejpam-5873	137	22	σx(z	σx(z	ADV
ejpam-5873	137	23	)	)	PUNCT
ejpam-5873	137	24	def	def	ADJ
ejpam-5873	137	25	=	=	SYM
ejpam-5873	137	26	zx0	zx0	PROPN
ejpam-5873	137	27	∏	∏	PROPN
ejpam-5873	137	28	s∈∂s−{0	s∈∂s−{0	PROPN
ejpam-5873	137	29	}	}	PUNCT
ejpam-5873	137	30	(	(	PUNCT
ejpam-5873	137	31	1−	1−	NUM
ejpam-5873	137	32	sz)xs	sz)xs	NOUN
ejpam-5873	137	33	(	(	PUNCT
ejpam-5873	137	34	12	12	NUM
ejpam-5873	137	35	)	)	PUNCT
ejpam-5873	137	36	=	=	SYM
ejpam-5873	137	37	zx0	zx0	NOUN
ejpam-5873	137	38	(	(	PUNCT
ejpam-5873	137	39	1	1	NUM
ejpam-5873	138	1	+	+	CCONJ
ejpam-5873	138	2	σ1(x)z	σ1(x)z	X
ejpam-5873	138	3	+	+	NUM
ejpam-5873	138	4	σ2(x)z2	σ2(x)z2	NOUN
ejpam-5873	138	5	+	+	X
ejpam-5873	138	6	.	.	PUNCT
ejpam-5873	138	7	.	.	PUNCT
ejpam-5873	138	8	.	.	PUNCT
ejpam-5873	138	9	)	)	PUNCT
ejpam-5873	139	1	∈f[z	∈f[z	NOUN
ejpam-5873	139	2	]	]	PUNCT
ejpam-5873	139	3	.	.	PUNCT
ejpam-5873	140	1	for	for	ADP
ejpam-5873	140	2	example	example	NOUN
ejpam-5873	140	3	,	,	PUNCT
ejpam-5873	140	4	if	if	SCONJ
ejpam-5873	140	5	n	n	CCONJ
ejpam-5873	140	6	=	=	SYM
ejpam-5873	140	7	7	7	NUM
ejpam-5873	140	8	,	,	PUNCT
ejpam-5873	140	9	∂s	∂s	PROPN
ejpam-5873	140	10	=	=	SYM
ejpam-5873	140	11	{	{	PUNCT
ejpam-5873	140	12	s0	s0	PROPN
ejpam-5873	140	13	,	,	PUNCT
ejpam-5873	140	14	s1	s1	NOUN
ejpam-5873	140	15	,	,	PUNCT
ejpam-5873	140	16	s2	s2	PROPN
ejpam-5873	140	17	,	,	PUNCT
ejpam-5873	140	18	s3	s3	PROPN
ejpam-5873	140	19	,	,	PUNCT
ejpam-5873	140	20	s4	s4	PROPN
ejpam-5873	140	21	,	,	PUNCT
ejpam-5873	140	22	s5	s5	PROPN
ejpam-5873	140	23	,	,	PUNCT
ejpam-5873	140	24	s6	s6	PROPN
ejpam-5873	140	25	}	}	PUNCT
ejpam-5873	140	26	⊆	⊆	NUM
ejpam-5873	140	27	f	f	SYM
ejpam-5873	140	28	−	−	PROPN
ejpam-5873	140	29	{	{	PUNCT
ejpam-5873	140	30	0	0	NUM
ejpam-5873	140	31	}	}	PUNCT
ejpam-5873	140	32	and	and	CCONJ
ejpam-5873	140	33	x	x	X
ejpam-5873	140	34	=	=	SYM
ejpam-5873	140	35	4121000	4121000	NUM
ejpam-5873	140	36	=	=	SYM
ejpam-5873	140	37	{	{	PUNCT
ejpam-5873	140	38	s0	s0	PROPN
ejpam-5873	140	39	,	,	PUNCT
ejpam-5873	140	40	s0	s0	PROPN
ejpam-5873	140	41	,	,	PUNCT
ejpam-5873	140	42	s0	s0	PROPN
ejpam-5873	140	43	,	,	PUNCT
ejpam-5873	140	44	s0	s0	PROPN
ejpam-5873	140	45	,	,	PUNCT
ejpam-5873	140	46	s1	s1	NOUN
ejpam-5873	140	47	,	,	PUNCT
ejpam-5873	140	48	s2	s2	PROPN
ejpam-5873	140	49	,	,	PUNCT
ejpam-5873	140	50	s2	s2	PROPN
ejpam-5873	140	51	,	,	PUNCT
ejpam-5873	140	52	s3	s3	PROPN
ejpam-5873	140	53	}	}	PUNCT
ejpam-5873	140	54	,	,	PUNCT
ejpam-5873	140	55	then	then	ADV
ejpam-5873	140	56	σx(z	σx(z	ADV
ejpam-5873	140	57	)	)	PUNCT
ejpam-5873	140	58	=	=	SYM
ejpam-5873	140	59	(	(	PUNCT
ejpam-5873	140	60	1−	1−	NUM
ejpam-5873	140	61	s0z	s0z	PROPN
ejpam-5873	140	62	)	)	PUNCT
ejpam-5873	140	63	4(1−	4(1−	NUM
ejpam-5873	140	64	s1z)(1−	s1z)(1−	PROPN
ejpam-5873	140	65	s2z	s2z	PROPN
ejpam-5873	140	66	)	)	PUNCT
ejpam-5873	141	1	2(1−	2(1−	NUM
ejpam-5873	141	2	s3z	s3z	NOUN
ejpam-5873	141	3	)	)	PUNCT
ejpam-5873	142	1	=	=	SYM
ejpam-5873	142	2	1−	1−	NUM
ejpam-5873	142	3	(	(	PUNCT
ejpam-5873	142	4	4s0	4s0	NUM
ejpam-5873	142	5	+	+	CCONJ
ejpam-5873	142	6	s1	s1	NOUN
ejpam-5873	142	7	+	+	CCONJ
ejpam-5873	142	8	2s2	2s2	NUM
ejpam-5873	142	9	+	+	CCONJ
ejpam-5873	142	10	s3)z	s3)z	NOUN
ejpam-5873	142	11	+	+	CCONJ
ejpam-5873	142	12	(	(	PUNCT
ejpam-5873	142	13	6s20	6s20	NUM
ejpam-5873	142	14	+	+	NUM
ejpam-5873	142	15	4s0s1	4s0s1	NOUN
ejpam-5873	142	16	+	+	NUM
ejpam-5873	142	17	8s0s2	8s0s2	NUM
ejpam-5873	142	18	+4s0s3	+4s0s3	NOUN
ejpam-5873	143	1	+	+	CCONJ
ejpam-5873	143	2	2s1s2	2s1s2	NUM
ejpam-5873	144	1	+	+	ADJ
ejpam-5873	144	2	s1s3	s1s3	X
ejpam-5873	144	3	+	+	NUM
ejpam-5873	144	4	s22	s22	NOUN
ejpam-5873	144	5	+2s2s3)z	+2s2s3)z	PROPN
ejpam-5873	144	6	2	2	NUM
ejpam-5873	144	7	+	+	CCONJ
ejpam-5873	144	8	.	.	PUNCT
ejpam-5873	144	9	.	.	PUNCT
ejpam-5873	145	1	.+	.+	NOUN
ejpam-5873	145	2	(	(	PUNCT
ejpam-5873	145	3	s40s1s	s40s1s	PROPN
ejpam-5873	145	4	2	2	NUM
ejpam-5873	145	5	2s3)z	2s3)z	NUM
ejpam-5873	145	6	8	8	NUM
ejpam-5873	145	7	.	.	PUNCT
ejpam-5873	145	8	to	to	PART
ejpam-5873	145	9	understand	understand	VERB
ejpam-5873	145	10	how	how	SCONJ
ejpam-5873	145	11	the	the	DET
ejpam-5873	145	12	σ	σ	NOUN
ejpam-5873	145	13	-	-	PUNCT
ejpam-5873	145	14	polynomial	polynomial	ADJ
ejpam-5873	145	15	associated	associate	VERB
ejpam-5873	145	16	with	with	ADP
ejpam-5873	145	17	a	a	DET
ejpam-5873	145	18	word	word	NOUN
ejpam-5873	145	19	x	x	X
ejpam-5873	145	20	∈	∈	PROPN
ejpam-5873	145	21	zn	zn	PROPN
ejpam-5873	145	22	q	q	PROPN
ejpam-5873	145	23	is	be	AUX
ejpam-5873	145	24	calculated	calculate	VERB
ejpam-5873	145	25	,	,	PUNCT
ejpam-5873	145	26	consider	consider	VERB
ejpam-5873	145	27	the	the	DET
ejpam-5873	145	28	following	follow	VERB
ejpam-5873	145	29	example	example	NOUN
ejpam-5873	145	30	.	.	PUNCT
ejpam-5873	146	1	assume	assume	VERB
ejpam-5873	146	2	that	that	SCONJ
ejpam-5873	146	3	x	x	NOUN
ejpam-5873	146	4	=	=	NOUN
ejpam-5873	146	5	00111	00111	NUM
ejpam-5873	146	6	and	and	CCONJ
ejpam-5873	146	7	the	the	DET
ejpam-5873	146	8	field	field	NOUN
ejpam-5873	146	9	is	be	AUX
ejpam-5873	146	10	gf	gf	NOUN
ejpam-5873	146	11	(	(	PUNCT
ejpam-5873	146	12	4	4	NUM
ejpam-5873	146	13	)	)	PUNCT
ejpam-5873	146	14	.	.	PUNCT
ejpam-5873	147	1	then	then	ADV
ejpam-5873	147	2	i(x	i(x	PROPN
ejpam-5873	147	3	)	)	PUNCT
ejpam-5873	148	1	=	=	SYM
ejpam-5873	148	2	234	234	NUM
ejpam-5873	148	3	.	.	PUNCT
ejpam-5873	149	1	the	the	DET
ejpam-5873	149	2	elementary	elementary	ADJ
ejpam-5873	149	3	symmetric	symmetric	ADJ
ejpam-5873	149	4	functions	function	NOUN
ejpam-5873	149	5	,	,	PUNCT
ejpam-5873	149	6	σ0σ1σ2σ3	σ0σ1σ2σ3	PROPN
ejpam-5873	149	7	,	,	PUNCT
ejpam-5873	149	8	associated	associate	VERB
ejpam-5873	149	9	with	with	ADP
ejpam-5873	149	10	234	234	NUM
ejpam-5873	149	11	is	be	AUX
ejpam-5873	149	12	(	(	PUNCT
ejpam-5873	149	13	1−	1−	NUM
ejpam-5873	149	14	z)2	z)2	NOUN
ejpam-5873	149	15	+	+	CCONJ
ejpam-5873	149	16	(	(	PUNCT
ejpam-5873	149	17	1−	1−	NUM
ejpam-5873	149	18	2z)3	2z)3	NUM
ejpam-5873	149	19	+	+	CCONJ
ejpam-5873	149	20	(	(	PUNCT
ejpam-5873	149	21	1−	1−	NUM
ejpam-5873	149	22	3z)4	3z)4	NUM
ejpam-5873	149	23	=	=	SYM
ejpam-5873	149	24	1032	1032	NUM
ejpam-5873	149	25	.	.	PUNCT
ejpam-5873	150	1	note	note	VERB
ejpam-5873	150	2	that	that	SCONJ
ejpam-5873	150	3	σx(z	σx(z	ADV
ejpam-5873	150	4	)	)	PUNCT
ejpam-5873	150	5	is	be	AUX
ejpam-5873	150	6	a	a	DET
ejpam-5873	150	7	polynomial	polynomial	ADJ
ejpam-5873	150	8	of	of	ADP
ejpam-5873	150	9	degree	degree	NOUN
ejpam-5873	150	10	deg(σx	deg(σx	NOUN
ejpam-5873	150	11	)	)	PUNCT
ejpam-5873	150	12	=	=	SYM
ejpam-5873	150	13	wl1(x	wl1(x	NOUN
ejpam-5873	150	14	)	)	PUNCT
ejpam-5873	151	1	=	=	SYM
ejpam-5873	151	2	|x|	|x|	PROPN
ejpam-5873	151	3	that	that	PRON
ejpam-5873	151	4	has	have	VERB
ejpam-5873	151	5	wh(x	wh(x	X
ejpam-5873	151	6	)	)	PUNCT
ejpam-5873	152	1	=	=	PUNCT
ejpam-5873	152	2	|∂x|	|∂x|	NOUN
ejpam-5873	152	3	distinct	distinct	ADJ
ejpam-5873	152	4	roots	root	NOUN
ejpam-5873	152	5	in	in	ADP
ejpam-5873	152	6	f	f	PROPN
ejpam-5873	152	7	,	,	PUNCT
ejpam-5873	152	8	each	each	PRON
ejpam-5873	152	9	with	with	ADP
ejpam-5873	152	10	multiplicity	multiplicity	NOUN
ejpam-5873	152	11	xs	xs	PROPN
ejpam-5873	152	12	,	,	PUNCT
ejpam-5873	152	13	for	for	ADP
ejpam-5873	152	14	s	s	PROPN
ejpam-5873	152	15	∈	∈	PROPN
ejpam-5873	152	16	∂s	∂s	PROPN
ejpam-5873	152	17	⊆	⊆	NUM
ejpam-5873	152	18	f.	f.	PROPN
ejpam-5873	152	19	in	in	ADP
ejpam-5873	152	20	particular	particular	ADJ
ejpam-5873	152	21	,	,	PUNCT
ejpam-5873	152	22	x	x	PROPN
ejpam-5873	152	23	coincides	coincide	VERB
ejpam-5873	152	24	with	with	ADP
ejpam-5873	152	25	the	the	DET
ejpam-5873	152	26	multiset	multiset	NOUN
ejpam-5873	152	27	of	of	ADP
ejpam-5873	152	28	all	all	DET
ejpam-5873	152	29	inverses	inverse	NOUN
ejpam-5873	152	30	of	of	ADP
ejpam-5873	152	31	the	the	DET
ejpam-5873	152	32	roots	root	NOUN
ejpam-5873	152	33	of	of	ADP
ejpam-5873	152	34	σx(z	σx(z	NOUN
ejpam-5873	152	35	)	)	PUNCT
ejpam-5873	152	36	,	,	PUNCT
ejpam-5873	152	37	where	where	SCONJ
ejpam-5873	152	38	we	we	PRON
ejpam-5873	152	39	let	let	VERB
ejpam-5873	152	40	1/0	1/0	NUM
ejpam-5873	152	41	def	def	ADJ
ejpam-5873	152	42	=	=	NOUN
ejpam-5873	152	43	0	0	NUM
ejpam-5873	152	44	.	.	PUNCT
ejpam-5873	153	1	hence	hence	ADV
ejpam-5873	153	2	,	,	PUNCT
ejpam-5873	153	3	its	its	PRON
ejpam-5873	153	4	coefficient	coefficient	NOUN
ejpam-5873	153	5	sequence	sequence	NOUN
ejpam-5873	153	6	is	be	AUX
ejpam-5873	153	7	given	give	VERB
ejpam-5873	153	8	by	by	ADP
ejpam-5873	153	9	the	the	DET
ejpam-5873	153	10	elementary	elementary	ADJ
ejpam-5873	153	11	symmetric	symmetric	ADJ
ejpam-5873	153	12	functions	function	NOUN
ejpam-5873	153	13	,	,	PUNCT
ejpam-5873	153	14	1	1	NUM
ejpam-5873	153	15	,	,	PUNCT
ejpam-5873	153	16	σ1(x	σ1(x	NUM
ejpam-5873	153	17	)	)	PUNCT
ejpam-5873	153	18	,	,	PUNCT
ejpam-5873	153	19	σ2(x	σ2(x	PROPN
ejpam-5873	153	20	)	)	PUNCT
ejpam-5873	153	21	,	,	PUNCT
ejpam-5873	153	22	.	.	PUNCT
ejpam-5873	153	23	.	.	PUNCT
ejpam-5873	154	1	.∈f	.∈f	PROPN
ejpam-5873	154	2	,	,	PUNCT
ejpam-5873	154	3	of	of	ADP
ejpam-5873	154	4	the	the	DET
ejpam-5873	154	5	elements	element	NOUN
ejpam-5873	154	6	in	in	ADP
ejpam-5873	154	7	the	the	DET
ejpam-5873	154	8	multiset	multiset	NOUN
ejpam-5873	154	9	x	x	SYM
ejpam-5873	154	10	−{0	−{0	AUX
ejpam-5873	154	11	}	}	PUNCT
ejpam-5873	154	12	ordered	order	VERB
ejpam-5873	154	13	in	in	ADP
ejpam-5873	154	14	increasing	increase	VERB
ejpam-5873	154	15	order	order	NOUN
ejpam-5873	154	16	of	of	ADP
ejpam-5873	154	17	their	their	PRON
ejpam-5873	154	18	degrees	degree	NOUN
ejpam-5873	154	19	and	and	CCONJ
ejpam-5873	154	20	eventually	eventually	ADV
ejpam-5873	154	21	shifted	shift	VERB
ejpam-5873	154	22	to	to	ADP
ejpam-5873	154	23	the	the	DET
ejpam-5873	154	24	right	right	NOUN
ejpam-5873	154	25	by	by	ADP
ejpam-5873	154	26	x0	x0	PROPN
ejpam-5873	154	27	∈	∈	PROPN
ejpam-5873	154	28	zq	zq	PROPN
ejpam-5873	155	1	⊆	⊆	NUM
ejpam-5873	155	2	n	n	NOUN
ejpam-5873	155	3	if	if	SCONJ
ejpam-5873	155	4	0	0	NUM
ejpam-5873	156	1	∈	∈	PROPN
ejpam-5873	156	2	∂s	∂s	PROPN
ejpam-5873	156	3	⊆	⊆	NUM
ejpam-5873	156	4	f.	f.	PROPN
ejpam-5873	156	5	for	for	ADP
ejpam-5873	156	6	example	example	NOUN
ejpam-5873	156	7	,	,	PUNCT
ejpam-5873	156	8	the	the	DET
ejpam-5873	156	9	elementary	elementary	ADJ
ejpam-5873	156	10	symmetric	symmetric	ADJ
ejpam-5873	156	11	functions	function	NOUN
ejpam-5873	156	12	for	for	ADP
ejpam-5873	156	13	z5	z5	PROPN
ejpam-5873	156	14	2	2	NUM
ejpam-5873	156	15	and	and	CCONJ
ejpam-5873	156	16	z7	z7	PROPN
ejpam-5873	156	17	2	2	NUM
ejpam-5873	156	18	are	be	AUX
ejpam-5873	156	19	shown	show	VERB
ejpam-5873	156	20	in	in	ADP
ejpam-5873	156	21	table	table	NOUN
ejpam-5873	156	22	2	2	NUM
ejpam-5873	156	23	and	and	CCONJ
ejpam-5873	156	24	table	table	NOUN
ejpam-5873	156	25	6	6	NUM
ejpam-5873	156	26	,	,	PUNCT
ejpam-5873	156	27	respectively	respectively	ADV
ejpam-5873	156	28	.	.	PUNCT
ejpam-5873	157	1	in	in	ADP
ejpam-5873	157	2	these	these	DET
ejpam-5873	157	3	two	two	NUM
ejpam-5873	157	4	examples	example	NOUN
ejpam-5873	157	5	,	,	PUNCT
ejpam-5873	157	6	the	the	DET
ejpam-5873	157	7	choice	choice	NOUN
ejpam-5873	157	8	of	of	ADP
ejpam-5873	157	9	the	the	DET
ejpam-5873	157	10	field	field	NOUN
ejpam-5873	157	11	is	be	AUX
ejpam-5873	157	12	the	the	DET
ejpam-5873	157	13	smallest	small	ADJ
ejpam-5873	157	14	field	field	NOUN
ejpam-5873	157	15	,	,	PUNCT
ejpam-5873	157	16	f	f	X
ejpam-5873	157	17	,	,	PUNCT
ejpam-5873	157	18	whose	whose	DET
ejpam-5873	157	19	cardinality	cardinality	NOUN
ejpam-5873	157	20	is	be	AUX
ejpam-5873	157	21	|f|	|f|	NOUN
ejpam-5873	157	22	>	>	X
ejpam-5873	157	23	w.	w.	PROPN
ejpam-5873	157	24	now	now	ADV
ejpam-5873	157	25	,	,	PUNCT
ejpam-5873	157	26	the	the	DET
ejpam-5873	157	27	general	general	ADJ
ejpam-5873	157	28	definition	definition	NOUN
ejpam-5873	157	29	of	of	ADP
ejpam-5873	157	30	σ	σ	PROPN
ejpam-5873	157	31	-	-	PUNCT
ejpam-5873	157	32	code	code	PROPN
ejpam-5873	157	33	as	as	SCONJ
ejpam-5873	157	34	follows	follow	VERB
ejpam-5873	157	35	:	:	PUNCT
ejpam-5873	157	36	definition	definition	NOUN
ejpam-5873	157	37	2	2	NUM
ejpam-5873	157	38	(	(	PUNCT
ejpam-5873	157	39	[	[	X
ejpam-5873	157	40	11	11	NUM
ejpam-5873	157	41	]	]	PUNCT
ejpam-5873	157	42	,	,	PUNCT
ejpam-5873	158	1	[	[	X
ejpam-5873	158	2	6	6	NUM
ejpam-5873	158	3	]	]	PUNCT
ejpam-5873	158	4	:	:	PUNCT
ejpam-5873	158	5	the	the	DET
ejpam-5873	158	6	σ	σ	PROPN
ejpam-5873	158	7	-	-	PUNCT
ejpam-5873	158	8	code	code	NOUN
ejpam-5873	158	9	)	)	PUNCT
ejpam-5873	158	10	.	.	PUNCT
ejpam-5873	159	1	for	for	ADP
ejpam-5873	159	2	all	all	DET
ejpam-5873	159	3	polynomials	polynomial	NOUN
ejpam-5873	159	4	g(z	g(z	ADJ
ejpam-5873	159	5	)	)	PUNCT
ejpam-5873	159	6	,	,	PUNCT
ejpam-5873	159	7	σ(z	σ(z	PROPN
ejpam-5873	159	8	)	)	PUNCT
ejpam-5873	159	9	∈	∈	PROPN
ejpam-5873	159	10	f[z	f[z	PROPN
ejpam-5873	159	11	]	]	PUNCT
ejpam-5873	159	12	,	,	PUNCT
ejpam-5873	159	13	the	the	DET
ejpam-5873	159	14	q	q	ADJ
ejpam-5873	159	15	-	-	PUNCT
ejpam-5873	159	16	ary	ary	PROPN
ejpam-5873	159	17	σ	σ	PROPN
ejpam-5873	159	18	-	-	PUNCT
ejpam-5873	159	19	code	code	NOUN
ejpam-5873	159	20	of	of	ADP
ejpam-5873	159	21	length	length	NOUN
ejpam-5873	159	22	n	n	PROPN
ejpam-5873	159	23	associated	associate	VERB
ejpam-5873	159	24	with	with	ADP
ejpam-5873	159	25	g	g	PROPN
ejpam-5873	159	26	and	and	CCONJ
ejpam-5873	159	27	σ	σ	PROPN
ejpam-5873	159	28	is	be	AUX
ejpam-5873	159	29	cg	cg	NOUN
ejpam-5873	159	30	,	,	PUNCT
ejpam-5873	159	31	σ(zq	σ(zq	PROPN
ejpam-5873	159	32	,	,	PUNCT
ejpam-5873	159	33	n	n	CCONJ
ejpam-5873	159	34	)	)	PUNCT
ejpam-5873	159	35	def	def	NOUN
ejpam-5873	159	36	=	=	SYM
ejpam-5873	159	37	{	{	PUNCT
ejpam-5873	159	38	x∈zn	x∈zn	PROPN
ejpam-5873	159	39	q	q	NOUN
ejpam-5873	159	40	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5873	159	41	σx(z	σx(z	NOUN
ejpam-5873	159	42	)	)	PUNCT
ejpam-5873	159	43	=	=	SYM
ejpam-5873	159	44	cxσ(z	cxσ(z	PROPN
ejpam-5873	159	45	)	)	PUNCT
ejpam-5873	159	46	mod	mod	NOUN
ejpam-5873	159	47	g(z	g(z	PROPN
ejpam-5873	159	48	)	)	PUNCT
ejpam-5873	159	49	,	,	PUNCT
ejpam-5873	159	50	with	with	ADP
ejpam-5873	159	51	cx	cx	PROPN
ejpam-5873	159	52	∈f−	∈f−	PROPN
ejpam-5873	159	53	{	{	PUNCT
ejpam-5873	159	54	0	0	NUM
ejpam-5873	159	55	}	}	PUNCT
ejpam-5873	159	56	}	}	PUNCT
ejpam-5873	159	57	.	.	PUNCT
ejpam-5873	160	1	(	(	PUNCT
ejpam-5873	160	2	13	13	NUM
ejpam-5873	160	3	)	)	PUNCT
ejpam-5873	160	4	for	for	ADP
ejpam-5873	160	5	clarity	clarity	NOUN
ejpam-5873	160	6	,	,	PUNCT
ejpam-5873	160	7	we	we	PRON
ejpam-5873	160	8	choose	choose	VERB
ejpam-5873	160	9	g(z	g(z	PROPN
ejpam-5873	160	10	)	)	PUNCT
ejpam-5873	161	1	=	=	SYM
ejpam-5873	161	2	zl+1	zl+1	X
ejpam-5873	161	3	.	.	PUNCT
ejpam-5873	161	4	n.	n.	PROPN
ejpam-5873	161	5	a.	a.	PROPN
ejpam-5873	161	6	alqwaifly	alqwaifly	PROPN
ejpam-5873	161	7	/	/	SYM
ejpam-5873	161	8	eur	eur	PROPN
ejpam-5873	161	9	.	.	PUNCT
ejpam-5873	162	1	j.	j.	PROPN
ejpam-5873	162	2	pure	pure	PROPN
ejpam-5873	162	3	appl	appl	PROPN
ejpam-5873	162	4	.	.	PROPN
ejpam-5873	162	5	math	math	PROPN
ejpam-5873	162	6	,	,	PUNCT
ejpam-5873	162	7	18	18	NUM
ejpam-5873	162	8	(	(	PUNCT
ejpam-5873	162	9	2	2	NUM
ejpam-5873	162	10	)	)	PUNCT
ejpam-5873	162	11	(	(	PUNCT
ejpam-5873	162	12	2025	2025	NUM
ejpam-5873	162	13	)	)	PUNCT
ejpam-5873	162	14	,	,	PUNCT
ejpam-5873	162	15	5873	5873	NUM
ejpam-5873	162	16	8	8	NUM
ejpam-5873	162	17	of	of	ADP
ejpam-5873	162	18	16	16	NUM
ejpam-5873	162	19	table	table	NOUN
ejpam-5873	162	20	2	2	NUM
ejpam-5873	162	21	:	:	PUNCT
ejpam-5873	162	22	the	the	DET
ejpam-5873	162	23	mapping	mapping	NOUN
ejpam-5873	162	24	i	i	PRON
ejpam-5873	162	25	acting	act	VERB
ejpam-5873	162	26	on	on	ADP
ejpam-5873	162	27	z5	z5	PROPN
ejpam-5873	162	28	2	2	NUM
ejpam-5873	162	29	and	and	CCONJ
ejpam-5873	162	30	the	the	DET
ejpam-5873	162	31	elementary	elementary	ADJ
ejpam-5873	162	32	symmetric	symmetric	ADJ
ejpam-5873	162	33	functions	function	NOUN
ejpam-5873	162	34	,	,	PUNCT
ejpam-5873	162	35	(	(	PUNCT
ejpam-5873	162	36	σ0σ1	σ0σ1	X
ejpam-5873	162	37	.	.	PUNCT
ejpam-5873	162	38	.	.	PUNCT
ejpam-5873	162	39	.	.	PUNCT
ejpam-5873	163	1	σ|f|−1	σ|f|−1	PROPN
ejpam-5873	163	2	)	)	PUNCT
ejpam-5873	163	3	,	,	PUNCT
ejpam-5873	163	4	associated	associate	VERB
ejpam-5873	163	5	with	with	ADP
ejpam-5873	163	6	i(x	i(x	PROPN
ejpam-5873	163	7	)	)	PUNCT
ejpam-5873	163	8	.	.	PUNCT
ejpam-5873	164	1	w(x	w(x	NOUN
ejpam-5873	164	2	)	)	PUNCT
ejpam-5873	164	3	x	x	SYM
ejpam-5873	164	4	i(x	i(x	PROPN
ejpam-5873	164	5	)	)	PUNCT
ejpam-5873	165	1	fw	fw	PROPN
ejpam-5873	165	2	σ0σ1	σ0σ1	PROPN
ejpam-5873	165	3	.	.	PUNCT
ejpam-5873	165	4	.	.	PUNCT
ejpam-5873	165	5	.	.	PUNCT
ejpam-5873	166	1	σ|f|−1	σ|f|−1	PROPN
ejpam-5873	166	2	0	0	NUM
ejpam-5873	166	3	00000	00000	NUM
ejpam-5873	166	4	−	−	NOUN
ejpam-5873	166	5	gf	gf	NOUN
ejpam-5873	166	6	(	(	PUNCT
ejpam-5873	166	7	2	2	NUM
ejpam-5873	166	8	)	)	PUNCT
ejpam-5873	166	9	10	10	NUM
ejpam-5873	166	10	00001	00001	NUM
ejpam-5873	166	11	4	4	NUM
ejpam-5873	166	12	10	10	NUM
ejpam-5873	166	13	00010	00010	NUM
ejpam-5873	166	14	3	3	NUM
ejpam-5873	166	15	11	11	NUM
ejpam-5873	166	16	1	1	NUM
ejpam-5873	166	17	00100	00100	NUM
ejpam-5873	166	18	2	2	NUM
ejpam-5873	166	19	gf	gf	X
ejpam-5873	166	20	(	(	PUNCT
ejpam-5873	166	21	2	2	NUM
ejpam-5873	166	22	)	)	PUNCT
ejpam-5873	166	23	10	10	NUM
ejpam-5873	166	24	01000	01000	NUM
ejpam-5873	166	25	1	1	NUM
ejpam-5873	166	26	11	11	NUM
ejpam-5873	166	27	10000	10000	NUM
ejpam-5873	166	28	0	0	NUM
ejpam-5873	166	29	10	10	NUM
ejpam-5873	166	30	00011	00011	NUM
ejpam-5873	166	31	34	34	NUM
ejpam-5873	166	32	110	110	NUM
ejpam-5873	166	33	00101	00101	NUM
ejpam-5873	166	34	24	24	NUM
ejpam-5873	166	35	122	122	NUM
ejpam-5873	166	36	00110	00110	NUM
ejpam-5873	166	37	23	23	NUM
ejpam-5873	166	38	111	111	NUM
ejpam-5873	166	39	01001	01001	NUM
ejpam-5873	166	40	14	14	NUM
ejpam-5873	166	41	102	102	NUM
ejpam-5873	166	42	01010	01010	NUM
ejpam-5873	166	43	13	13	NUM
ejpam-5873	166	44	120	120	NUM
ejpam-5873	166	45	2	2	NUM
ejpam-5873	166	46	01100	01100	NUM
ejpam-5873	166	47	12	12	NUM
ejpam-5873	166	48	gf	gf	NOUN
ejpam-5873	166	49	(	(	PUNCT
ejpam-5873	166	50	3	3	NUM
ejpam-5873	166	51	)	)	PUNCT
ejpam-5873	166	52	112	112	NUM
ejpam-5873	166	53	11000	11000	NUM
ejpam-5873	166	54	01	01	NUM
ejpam-5873	166	55	110	110	NUM
ejpam-5873	166	56	10100	10100	NUM
ejpam-5873	166	57	02	02	NUM
ejpam-5873	166	58	121	121	NUM
ejpam-5873	166	59	10010	10010	NUM
ejpam-5873	166	60	03	03	NUM
ejpam-5873	166	61	100	100	NUM
ejpam-5873	166	62	10001	10001	NUM
ejpam-5873	166	63	04	04	NUM
ejpam-5873	167	1	110	110	NUM
ejpam-5873	167	2	00111	00111	NUM
ejpam-5873	167	3	234	234	NUM
ejpam-5873	167	4	1032	1032	NUM
ejpam-5873	167	5	01011	01011	NUM
ejpam-5873	167	6	134	134	NUM
ejpam-5873	167	7	1102	1102	NUM
ejpam-5873	167	8	01101	01101	NUM
ejpam-5873	167	9	124	124	NUM
ejpam-5873	167	10	1322	1322	NUM
ejpam-5873	167	11	01110	01110	NUM
ejpam-5873	167	12	123	123	NUM
ejpam-5873	167	13	1202	1202	NUM
ejpam-5873	167	14	10110	10110	NUM
ejpam-5873	167	15	023	023	NUM
ejpam-5873	167	16	1331	1331	NUM
ejpam-5873	167	17	3	3	NUM
ejpam-5873	167	18	11010	11010	NUM
ejpam-5873	167	19	013	013	NUM
ejpam-5873	168	1	gf	gf	X
ejpam-5873	168	2	(	(	PUNCT
ejpam-5873	168	3	22	22	NUM
ejpam-5873	168	4	)	)	PUNCT
ejpam-5873	168	5	1113	1113	NUM
ejpam-5873	168	6	11100	11100	NUM
ejpam-5873	168	7	012	012	NUM
ejpam-5873	168	8	1012	1012	NUM
ejpam-5873	168	9	10011	10011	NUM
ejpam-5873	168	10	034	034	NUM
ejpam-5873	168	11	1220	1220	NUM
ejpam-5873	168	12	10101	10101	NUM
ejpam-5873	168	13	024	024	NUM
ejpam-5873	168	14	1020	1020	NUM
ejpam-5873	168	15	11001	11001	NUM
ejpam-5873	168	16	014	014	NUM
ejpam-5873	168	17	1220	1220	NUM
ejpam-5873	168	18	01111	01111	NUM
ejpam-5873	168	19	1234	1234	NUM
ejpam-5873	168	20	10020	10020	NUM
ejpam-5873	168	21	10111	10111	NUM
ejpam-5873	168	22	0234	0234	NUM
ejpam-5873	168	23	11133	11133	NUM
ejpam-5873	168	24	4	4	NUM
ejpam-5873	168	25	11011	11011	NUM
ejpam-5873	168	26	0134	0134	NUM
ejpam-5873	168	27	gf	gf	X
ejpam-5873	168	28	(	(	PUNCT
ejpam-5873	168	29	5	5	NUM
ejpam-5873	168	30	)	)	PUNCT
ejpam-5873	168	31	13222	13222	NUM
ejpam-5873	168	32	11101	11101	NUM
ejpam-5873	168	33	0124	0124	NUM
ejpam-5873	168	34	11023	11023	NUM
ejpam-5873	168	35	11110	11110	NUM
ejpam-5873	168	36	0123	0123	NUM
ejpam-5873	168	37	10021	10021	NUM
ejpam-5873	168	38	5	5	NUM
ejpam-5873	168	39	11111	11111	NUM
ejpam-5873	168	40	01234	01234	NUM
ejpam-5873	168	41	gf	gf	X
ejpam-5873	168	42	(	(	PUNCT
ejpam-5873	168	43	7	7	NUM
ejpam-5873	168	44	)	)	PUNCT
ejpam-5873	168	45	1210030	1210030	NUM
ejpam-5873	168	46	n.	n.	NOUN
ejpam-5873	168	47	a.	a.	NOUN
ejpam-5873	168	48	alqwaifly	alqwaifly	PROPN
ejpam-5873	168	49	/	/	SYM
ejpam-5873	168	50	eur	eur	PROPN
ejpam-5873	168	51	.	.	PUNCT
ejpam-5873	169	1	j.	j.	PROPN
ejpam-5873	169	2	pure	pure	PROPN
ejpam-5873	169	3	appl	appl	PROPN
ejpam-5873	169	4	.	.	PROPN
ejpam-5873	169	5	math	math	PROPN
ejpam-5873	169	6	,	,	PUNCT
ejpam-5873	169	7	18	18	NUM
ejpam-5873	169	8	(	(	PUNCT
ejpam-5873	169	9	2	2	NUM
ejpam-5873	169	10	)	)	PUNCT
ejpam-5873	169	11	(	(	PUNCT
ejpam-5873	169	12	2025	2025	NUM
ejpam-5873	169	13	)	)	PUNCT
ejpam-5873	169	14	,	,	PUNCT
ejpam-5873	169	15	5873	5873	NUM
ejpam-5873	169	16	9	9	NUM
ejpam-5873	169	17	of	of	ADP
ejpam-5873	169	18	16	16	NUM
ejpam-5873	169	19	now	now	ADV
ejpam-5873	169	20	,	,	PUNCT
ejpam-5873	169	21	to	to	PART
ejpam-5873	169	22	define	define	VERB
ejpam-5873	169	23	a	a	DET
ejpam-5873	169	24	l	l	ADJ
ejpam-5873	169	25	-	-	PUNCT
ejpam-5873	169	26	peak	peak	NOUN
ejpam-5873	169	27	-	-	PUNCT
ejpam-5873	169	28	shift	shift	NOUN
ejpam-5873	169	29	error	error	NOUN
ejpam-5873	169	30	correcting	correct	VERB
ejpam-5873	169	31	code	code	NOUN
ejpam-5873	169	32	,	,	PUNCT
ejpam-5873	169	33	c	c	PROPN
ejpam-5873	169	34	⊆	⊆	NUM
ejpam-5873	169	35	zn	zn	SYM
ejpam-5873	169	36	2	2	NUM
ejpam-5873	169	37	,	,	PUNCT
ejpam-5873	169	38	the	the	DET
ejpam-5873	169	39	σ	σ	NOUN
ejpam-5873	169	40	-	-	PUNCT
ejpam-5873	169	41	codes	code	NOUN
ejpam-5873	169	42	in	in	ADP
ejpam-5873	169	43	(	(	PUNCT
ejpam-5873	169	44	13	13	NUM
ejpam-5873	169	45	)	)	PUNCT
ejpam-5873	169	46	are	be	AUX
ejpam-5873	169	47	used	use	VERB
ejpam-5873	169	48	in	in	ADP
ejpam-5873	169	49	the	the	DET
ejpam-5873	169	50	function	function	NOUN
ejpam-5873	169	51	i	i	PRON
ejpam-5873	169	52	codomain	codomain	VERB
ejpam-5873	169	53	;	;	PUNCT
ejpam-5873	169	54	where	where	SCONJ
ejpam-5873	169	55	i	i	PRON
ejpam-5873	169	56	is	be	AUX
ejpam-5873	169	57	given	give	VERB
ejpam-5873	169	58	in	in	ADP
ejpam-5873	169	59	(	(	PUNCT
ejpam-5873	169	60	10	10	NUM
ejpam-5873	169	61	)	)	PUNCT
ejpam-5873	169	62	.	.	PUNCT
ejpam-5873	170	1	thus	thus	ADV
ejpam-5873	170	2	,	,	PUNCT
ejpam-5873	170	3	x	x	PUNCT
ejpam-5873	170	4	∈	∈	NOUN
ejpam-5873	170	5	c	c	NOUN
ejpam-5873	170	6	if	if	SCONJ
ejpam-5873	170	7	and	and	CCONJ
ejpam-5873	170	8	only	only	ADV
ejpam-5873	170	9	if	if	SCONJ
ejpam-5873	170	10	σi(x)0∗(z	σi(x)0∗(z	NOUN
ejpam-5873	170	11	)	)	PUNCT
ejpam-5873	170	12	=	=	SYM
ejpam-5873	170	13	σ(z	σ(z	PROPN
ejpam-5873	170	14	)	)	PUNCT
ejpam-5873	170	15	mod	mod	PROPN
ejpam-5873	170	16	zl+1	zl+1	PROPN
ejpam-5873	170	17	,	,	PUNCT
ejpam-5873	170	18	where	where	SCONJ
ejpam-5873	170	19	σ(z	σ(z	NOUN
ejpam-5873	170	20	)	)	PUNCT
ejpam-5873	170	21	is	be	AUX
ejpam-5873	170	22	a	a	DET
ejpam-5873	170	23	monic	monic	ADJ
ejpam-5873	170	24	polynomial	polynomial	NOUN
ejpam-5873	170	25	of	of	ADP
ejpam-5873	170	26	degree	degree	NOUN
ejpam-5873	170	27	l.	l.	PROPN
ejpam-5873	170	28	note	note	VERB
ejpam-5873	170	29	that	that	SCONJ
ejpam-5873	170	30	under	under	ADP
ejpam-5873	170	31	the	the	DET
ejpam-5873	170	32	mapping	mapping	NOUN
ejpam-5873	170	33	x	x	INTJ
ejpam-5873	170	34	→	→	SYM
ejpam-5873	170	35	σi(x)0∗(z	σi(x)0∗(z	NOUN
ejpam-5873	170	36	)	)	PUNCT
ejpam-5873	170	37	mod	mod	PROPN
ejpam-5873	170	38	zl+1	zl+1	PROPN
ejpam-5873	170	39	,	,	PUNCT
ejpam-5873	170	40	the	the	DET
ejpam-5873	170	41	set	set	NOUN
ejpam-5873	170	42	of	of	ADP
ejpam-5873	170	43	constant	constant	ADJ
ejpam-5873	170	44	weight	weight	NOUN
ejpam-5873	170	45	w	w	NOUN
ejpam-5873	170	46	vectors	vector	NOUN
ejpam-5873	170	47	of	of	ADP
ejpam-5873	170	48	length	length	NOUN
ejpam-5873	170	49	n	n	NOUN
ejpam-5873	170	50	over	over	ADP
ejpam-5873	170	51	z2	z2	PROPN
ejpam-5873	170	52	is	be	AUX
ejpam-5873	170	53	partitioned	partition	VERB
ejpam-5873	170	54	into	into	ADP
ejpam-5873	170	55	|f|l	|f|l	PROPN
ejpam-5873	170	56	classes	class	NOUN
ejpam-5873	170	57	,	,	PUNCT
ejpam-5873	170	58	c1	c1	PROPN
ejpam-5873	170	59	,	,	PUNCT
ejpam-5873	170	60	c2	c2	PROPN
ejpam-5873	170	61	,	,	PUNCT
ejpam-5873	170	62	.	.	PUNCT
ejpam-5873	170	63	.	.	PUNCT
ejpam-5873	171	1	.	.	PUNCT
ejpam-5873	172	1	,	,	PUNCT
ejpam-5873	172	2	cfl	cfl	NOUN
ejpam-5873	172	3	.	.	PUNCT
ejpam-5873	173	1	now	now	ADV
ejpam-5873	173	2	,	,	PUNCT
ejpam-5873	173	3	x	x	PUNCT
ejpam-5873	173	4	and	and	CCONJ
ejpam-5873	173	5	y	y	PROPN
ejpam-5873	173	6	are	be	AUX
ejpam-5873	173	7	in	in	ADP
ejpam-5873	173	8	ci	ci	NOUN
ejpam-5873	173	9	if	if	SCONJ
ejpam-5873	173	10	,	,	PUNCT
ejpam-5873	173	11	and	and	CCONJ
ejpam-5873	173	12	only	only	ADV
ejpam-5873	173	13	if	if	SCONJ
ejpam-5873	173	14	,	,	PUNCT
ejpam-5873	173	15	σi(x)0∗(z	σi(x)0∗(z	NOUN
ejpam-5873	173	16	)	)	PUNCT
ejpam-5873	173	17	=	=	SYM
ejpam-5873	173	18	σi(y	σi(y	NUM
ejpam-5873	173	19	)	)	PUNCT
ejpam-5873	173	20	0∗(z	0∗(z	X
ejpam-5873	173	21	)	)	PUNCT
ejpam-5873	173	22	mod	mod	NOUN
ejpam-5873	173	23	zl+1	zl+1	PROPN
ejpam-5873	173	24	and	and	CCONJ
ejpam-5873	173	25	from	from	ADP
ejpam-5873	173	26	the	the	DET
ejpam-5873	173	27	σ	σ	PROPN
ejpam-5873	173	28	-	-	PUNCT
ejpam-5873	173	29	code	code	NOUN
ejpam-5873	173	30	theory	theory	NOUN
ejpam-5873	173	31	,	,	PUNCT
ejpam-5873	173	32	each	each	PRON
ejpam-5873	173	33	of	of	ADP
ejpam-5873	173	34	the	the	DET
ejpam-5873	173	35	i(ci	i(ci	NOUN
ejpam-5873	173	36	)	)	PUNCT
ejpam-5873	173	37	’s	’s	PART
ejpam-5873	173	38	is	be	AUX
ejpam-5873	173	39	an	an	DET
ejpam-5873	173	40	asymmetric	asymmetric	ADJ
ejpam-5873	173	41	l1	l1	PROPN
ejpam-5873	173	42	distance	distance	NOUN
ejpam-5873	173	43	(	(	PUNCT
ejpam-5873	173	44	l+1	l+1	NOUN
ejpam-5873	173	45	)	)	PUNCT
ejpam-5873	173	46	code	code	NOUN
ejpam-5873	173	47	.	.	PUNCT
ejpam-5873	174	1	thus	thus	ADV
ejpam-5873	174	2	,	,	PUNCT
ejpam-5873	174	3	by	by	ADP
ejpam-5873	174	4	pigeon	pigeon	NOUN
ejpam-5873	174	5	-	-	PUNCT
ejpam-5873	174	6	hole	hole	NOUN
ejpam-5873	174	7	principle	principle	NOUN
ejpam-5873	174	8	,	,	PUNCT
ejpam-5873	174	9	one	one	NUM
ejpam-5873	174	10	of	of	ADP
ejpam-5873	174	11	the	the	DET
ejpam-5873	174	12	classes	class	NOUN
ejpam-5873	174	13	,	,	PUNCT
ejpam-5873	174	14	for	for	ADP
ejpam-5873	174	15	example	example	NOUN
ejpam-5873	174	16	,	,	PUNCT
ejpam-5873	174	17	c̃(f;n	c̃(f;n	PROPN
ejpam-5873	174	18	,	,	PUNCT
ejpam-5873	174	19	w	w	NOUN
ejpam-5873	174	20	)	)	PUNCT
ejpam-5873	174	21	should	should	AUX
ejpam-5873	174	22	have	have	VERB
ejpam-5873	174	23	at	at	ADV
ejpam-5873	174	24	least	least	ADJ
ejpam-5873	174	25	(	(	PUNCT
ejpam-5873	174	26	n	n	X
ejpam-5873	174	27	w	w	PROPN
ejpam-5873	174	28	)	)	PUNCT
ejpam-5873	175	1	/|f|l	/|f|l	PUNCT
ejpam-5873	175	2	codewords	codeword	NOUN
ejpam-5873	175	3	.	.	PUNCT
ejpam-5873	176	1	the	the	DET
ejpam-5873	176	2	l	l	NOUN
ejpam-5873	176	3	-	-	PUNCT
ejpam-5873	176	4	peak	peak	ADJ
ejpam-5873	176	5	-	-	PUNCT
ejpam-5873	176	6	shift	shift	NOUN
ejpam-5873	176	7	error	error	NOUN
ejpam-5873	176	8	correction	correction	NOUN
ejpam-5873	176	9	code	code	NOUN
ejpam-5873	176	10	,	,	PUNCT
ejpam-5873	176	11	c	c	AUX
ejpam-5873	176	12	,	,	PUNCT
ejpam-5873	176	13	can	can	AUX
ejpam-5873	176	14	be	be	AUX
ejpam-5873	176	15	simply	simply	ADV
ejpam-5873	176	16	defined	define	VERB
ejpam-5873	176	17	as	as	ADP
ejpam-5873	176	18	cw	cw	NOUN
ejpam-5873	176	19	def	def	PROPN
ejpam-5873	176	20	=	=	SYM
ejpam-5873	176	21	c̃(f;n	c̃(f;n	PROPN
ejpam-5873	176	22	,	,	PUNCT
ejpam-5873	176	23	w	w	PROPN
ejpam-5873	176	24	)	)	PUNCT
ejpam-5873	176	25	⊆	⊆	NUM
ejpam-5873	176	26	b(z2	b(z2	PROPN
ejpam-5873	176	27	,	,	PUNCT
ejpam-5873	176	28	n	n	CCONJ
ejpam-5873	176	29	,	,	PUNCT
ejpam-5873	176	30	w	w	NOUN
ejpam-5873	176	31	)	)	PUNCT
ejpam-5873	176	32	for	for	ADP
ejpam-5873	176	33	all	all	DET
ejpam-5873	176	34	w∈	w∈	NOUN
ejpam-5873	177	1	[	[	X
ejpam-5873	177	2	0	0	NUM
ejpam-5873	177	3	,	,	PUNCT
ejpam-5873	177	4	n	n	CCONJ
ejpam-5873	177	5	]	]	PUNCT
ejpam-5873	177	6	.	.	PUNCT
ejpam-5873	178	1	in	in	ADP
ejpam-5873	178	2	order	order	NOUN
ejpam-5873	178	3	to	to	PART
ejpam-5873	178	4	maximize	maximize	VERB
ejpam-5873	178	5	|c|	|c|	PROPN
ejpam-5873	178	6	,	,	PUNCT
ejpam-5873	178	7	the	the	DET
ejpam-5873	178	8	algebraic	algebraic	ADJ
ejpam-5873	178	9	structure	structure	NOUN
ejpam-5873	178	10	f	f	PROPN
ejpam-5873	178	11	is	be	AUX
ejpam-5873	178	12	chosen	choose	VERB
ejpam-5873	178	13	to	to	PART
ejpam-5873	178	14	be	be	AUX
ejpam-5873	178	15	the	the	DET
ejpam-5873	178	16	smallest	small	ADJ
ejpam-5873	178	17	possible	possible	ADJ
ejpam-5873	178	18	field	field	NOUN
ejpam-5873	178	19	if	if	SCONJ
ejpam-5873	178	20	l	l	PROPN
ejpam-5873	178	21	>	>	X
ejpam-5873	178	22	1	1	NUM
ejpam-5873	178	23	or	or	CCONJ
ejpam-5873	178	24	the	the	DET
ejpam-5873	178	25	smallest	small	ADJ
ejpam-5873	178	26	group	group	NOUN
ejpam-5873	178	27	if	if	SCONJ
ejpam-5873	178	28	l	l	NOUN
ejpam-5873	178	29	=	=	SYM
ejpam-5873	178	30	1	1	X
ejpam-5873	178	31	.	.	X
ejpam-5873	178	32	figure	figure	NOUN
ejpam-5873	178	33	3	3	NUM
ejpam-5873	178	34	provides	provide	VERB
ejpam-5873	178	35	a	a	DET
ejpam-5873	178	36	flowchart	flowchart	NOUN
ejpam-5873	178	37	that	that	PRON
ejpam-5873	178	38	illustrates	illustrate	VERB
ejpam-5873	178	39	the	the	DET
ejpam-5873	178	40	proposed	propose	VERB
ejpam-5873	178	41	coding	code	VERB
ejpam-5873	178	42	framework	framework	NOUN
ejpam-5873	178	43	for	for	ADP
ejpam-5873	178	44	peak	peak	NOUN
ejpam-5873	178	45	-	-	PUNCT
ejpam-5873	178	46	shift	shift	NOUN
ejpam-5873	178	47	control	control	NOUN
ejpam-5873	178	48	.	.	PUNCT
ejpam-5873	179	1	figure	figure	VERB
ejpam-5873	179	2	3	3	NUM
ejpam-5873	179	3	:	:	PUNCT
ejpam-5873	179	4	flowchart	flowchart	NOUN
ejpam-5873	179	5	illustrating	illustrate	VERB
ejpam-5873	179	6	the	the	DET
ejpam-5873	179	7	proposed	propose	VERB
ejpam-5873	179	8	coding	code	VERB
ejpam-5873	179	9	framework	framework	NOUN
ejpam-5873	179	10	for	for	ADP
ejpam-5873	179	11	peak	peak	NOUN
ejpam-5873	179	12	-	-	PUNCT
ejpam-5873	179	13	shift	shift	NOUN
ejpam-5873	179	14	control	control	NOUN
ejpam-5873	179	15	3.2	3.2	NUM
ejpam-5873	179	16	.	.	PUNCT
ejpam-5873	180	1	lower	low	ADJ
ejpam-5873	180	2	and	and	CCONJ
ejpam-5873	180	3	upper	upper	ADJ
ejpam-5873	180	4	bounds	bound	NOUN
ejpam-5873	180	5	since	since	SCONJ
ejpam-5873	180	6	the	the	DET
ejpam-5873	180	7	proposed	propose	VERB
ejpam-5873	180	8	code	code	NOUN
ejpam-5873	180	9	is	be	AUX
ejpam-5873	180	10	a	a	DET
ejpam-5873	180	11	constant	constant	ADJ
ejpam-5873	180	12	weight	weight	NOUN
ejpam-5873	180	13	q	q	ADJ
ejpam-5873	180	14	-	-	PUNCT
ejpam-5873	180	15	ary	ary	PROPN
ejpam-5873	180	16	code	code	NOUN
ejpam-5873	180	17	,	,	PUNCT
ejpam-5873	180	18	we	we	PRON
ejpam-5873	180	19	can	can	AUX
ejpam-5873	180	20	use	use	VERB
ejpam-5873	180	21	the	the	DET
ejpam-5873	180	22	lower	low	ADJ
ejpam-5873	180	23	and	and	CCONJ
ejpam-5873	180	24	upper	upper	ADJ
ejpam-5873	180	25	l1	l1	PROPN
ejpam-5873	180	26	bounds	bound	VERB
ejpam-5873	180	27	for	for	ADP
ejpam-5873	180	28	the	the	DET
ejpam-5873	180	29	q	q	ADJ
ejpam-5873	180	30	-	-	PUNCT
ejpam-5873	180	31	ary	ary	ADJ
ejpam-5873	180	32	codes	code	NOUN
ejpam-5873	180	33	derived	derive	VERB
ejpam-5873	180	34	in	in	ADP
ejpam-5873	180	35	[	[	X
ejpam-5873	180	36	6	6	NUM
ejpam-5873	180	37	]	]	PUNCT
ejpam-5873	180	38	as	as	SCONJ
ejpam-5873	180	39	stated	state	VERB
ejpam-5873	180	40	in	in	ADP
ejpam-5873	180	41	the	the	DET
ejpam-5873	180	42	following	follow	VERB
ejpam-5873	180	43	theorem	theorem	ADJ
ejpam-5873	180	44	2	2	NUM
ejpam-5873	180	45	.	.	PUNCT
ejpam-5873	180	46	theorem	theorem	ADJ
ejpam-5873	180	47	2	2	NUM
ejpam-5873	180	48	(	(	PUNCT
ejpam-5873	180	49	lower	low	ADJ
ejpam-5873	180	50	bound	bind	VERB
ejpam-5873	180	51	on	on	ADP
ejpam-5873	180	52	l	l	ADJ
ejpam-5873	180	53	-	-	PUNCT
ejpam-5873	180	54	peak	peak	NOUN
ejpam-5873	180	55	-	-	PUNCT
ejpam-5873	180	56	shift	shift	NOUN
ejpam-5873	180	57	error	error	NOUN
ejpam-5873	180	58	correcting	correct	VERB
ejpam-5873	180	59	codes	code	NOUN
ejpam-5873	180	60	)	)	PUNCT
ejpam-5873	180	61	.	.	PUNCT
ejpam-5873	181	1	for	for	ADP
ejpam-5873	181	2	all	all	DET
ejpam-5873	181	3	n	n	CCONJ
ejpam-5873	181	4	,	,	PUNCT
ejpam-5873	181	5	l∈n	l∈n	VERB
ejpam-5873	181	6	there	there	PRON
ejpam-5873	181	7	exists	exist	VERB
ejpam-5873	181	8	a	a	DET
ejpam-5873	181	9	l	l	ADJ
ejpam-5873	181	10	-	-	PUNCT
ejpam-5873	181	11	peak	peak	NOUN
ejpam-5873	181	12	-	-	PUNCT
ejpam-5873	181	13	shift	shift	NOUN
ejpam-5873	181	14	error	error	NOUN
ejpam-5873	181	15	correcting	correct	VERB
ejpam-5873	181	16	binary	binary	ADJ
ejpam-5873	181	17	code	code	NOUN
ejpam-5873	181	18	c	c	PROPN
ejpam-5873	182	1	⊆	⊆	NUM
ejpam-5873	182	2	zn	zn	SYM
ejpam-5873	182	3	2	2	NUM
ejpam-5873	182	4	of	of	ADP
ejpam-5873	182	5	length	length	NOUN
ejpam-5873	182	6	n	n	CCONJ
ejpam-5873	182	7	whose	whose	DET
ejpam-5873	182	8	cardinality	cardinality	NOUN
ejpam-5873	182	9	is	be	AUX
ejpam-5873	182	10	|c|	|c|	PROPN
ejpam-5873	182	11	≥	≥	NUM
ejpam-5873	182	12	1	1	NUM
ejpam-5873	182	13	+	+	CCONJ
ejpam-5873	182	14	⌈	⌈	NOUN
ejpam-5873	182	15	n	n	PRON
ejpam-5873	182	16	l	l	NOUN
ejpam-5873	183	1	+	+	CCONJ
ejpam-5873	183	2	1	1	NUM
ejpam-5873	183	3	⌉	⌉	NOUN
ejpam-5873	183	4	+	+	SYM
ejpam-5873	183	5	n∑	n∑	ADJ
ejpam-5873	183	6	w=2	w=2	PROPN
ejpam-5873	183	7	⌈	⌈	PROPN
ejpam-5873	183	8	(	(	PUNCT
ejpam-5873	183	9	n	n	PROPN
ejpam-5873	183	10	w	w	NOUN
ejpam-5873	183	11	)	)	PUNCT
ejpam-5873	183	12	/	/	SYM
ejpam-5873	183	13	|fw|l	|fw|l	NOUN
ejpam-5873	183	14	⌉	⌉	NOUN
ejpam-5873	183	15	(	(	PUNCT
ejpam-5873	183	16	14	14	NUM
ejpam-5873	183	17	)	)	PUNCT
ejpam-5873	183	18	n.	n.	NOUN
ejpam-5873	183	19	a.	a.	NOUN
ejpam-5873	183	20	alqwaifly	alqwaifly	PROPN
ejpam-5873	183	21	/	/	SYM
ejpam-5873	183	22	eur	eur	PROPN
ejpam-5873	183	23	.	.	PUNCT
ejpam-5873	184	1	j.	j.	PROPN
ejpam-5873	184	2	pure	pure	PROPN
ejpam-5873	184	3	appl	appl	PROPN
ejpam-5873	184	4	.	.	PROPN
ejpam-5873	184	5	math	math	PROPN
ejpam-5873	184	6	,	,	PUNCT
ejpam-5873	184	7	18	18	NUM
ejpam-5873	184	8	(	(	PUNCT
ejpam-5873	184	9	2	2	NUM
ejpam-5873	184	10	)	)	PUNCT
ejpam-5873	184	11	(	(	PUNCT
ejpam-5873	184	12	2025	2025	NUM
ejpam-5873	184	13	)	)	PUNCT
ejpam-5873	184	14	,	,	PUNCT
ejpam-5873	184	15	5873	5873	NUM
ejpam-5873	184	16	10	10	NUM
ejpam-5873	184	17	of	of	ADP
ejpam-5873	184	18	16	16	NUM
ejpam-5873	184	19	where	where	SCONJ
ejpam-5873	184	20	fw	fw	PROPN
ejpam-5873	184	21	is	be	AUX
ejpam-5873	184	22	the	the	DET
ejpam-5873	184	23	smallest	small	ADJ
ejpam-5873	184	24	field	field	NOUN
ejpam-5873	184	25	,	,	PUNCT
ejpam-5873	184	26	f	f	X
ejpam-5873	184	27	,	,	PUNCT
ejpam-5873	184	28	whose	whose	DET
ejpam-5873	184	29	cardinality	cardinality	NOUN
ejpam-5873	184	30	is	be	AUX
ejpam-5873	184	31	|f|	|f|	NOUN
ejpam-5873	184	32	>	>	PUNCT
ejpam-5873	184	33	w	w	PROPN
ejpam-5873	184	34	,	,	PUNCT
ejpam-5873	184	35	when	when	SCONJ
ejpam-5873	184	36	l	l	PROPN
ejpam-5873	184	37	>	>	X
ejpam-5873	184	38	1	1	NUM
ejpam-5873	184	39	;	;	PUNCT
ejpam-5873	184	40	and	and	CCONJ
ejpam-5873	184	41	fw	fw	PROPN
ejpam-5873	184	42	=	=	PUNCT
ejpam-5873	184	43	(	(	PUNCT
ejpam-5873	184	44	zw+1,+	zw+1,+	X
ejpam-5873	184	45	mod	mod	X
ejpam-5873	184	46	(	(	PUNCT
ejpam-5873	184	47	w	w	PROPN
ejpam-5873	184	48	+	+	NOUN
ejpam-5873	184	49	1	1	NUM
ejpam-5873	184	50	)	)	PUNCT
ejpam-5873	184	51	)	)	PUNCT
ejpam-5873	185	1	when	when	SCONJ
ejpam-5873	185	2	l	l	NOUN
ejpam-5873	185	3	=	=	SYM
ejpam-5873	185	4	1	1	X
ejpam-5873	185	5	.	.	X
ejpam-5873	185	6	note	note	VERB
ejpam-5873	185	7	that	that	SCONJ
ejpam-5873	185	8	if	if	SCONJ
ejpam-5873	185	9	l	l	NOUN
ejpam-5873	185	10	=	=	SYM
ejpam-5873	185	11	1	1	NUM
ejpam-5873	185	12	,	,	PUNCT
ejpam-5873	185	13	then	then	ADV
ejpam-5873	185	14	|fw|	|fw|	PROPN
ejpam-5873	186	1	=	=	SYM
ejpam-5873	187	1	w	w	PROPN
ejpam-5873	188	1	+	+	NOUN
ejpam-5873	188	2	1	1	X
ejpam-5873	188	3	.	.	X
ejpam-5873	188	4	we	we	PRON
ejpam-5873	188	5	can	can	AUX
ejpam-5873	188	6	have	have	VERB
ejpam-5873	188	7	some	some	DET
ejpam-5873	188	8	improvements	improvement	NOUN
ejpam-5873	188	9	in	in	ADP
ejpam-5873	188	10	terms	term	NOUN
ejpam-5873	188	11	of	of	ADP
ejpam-5873	188	12	the	the	DET
ejpam-5873	188	13	numbers	number	NOUN
ejpam-5873	188	14	of	of	ADP
ejpam-5873	188	15	codewords	codeword	NOUN
ejpam-5873	188	16	if	if	SCONJ
ejpam-5873	188	17	we	we	PRON
ejpam-5873	188	18	relax	relax	VERB
ejpam-5873	188	19	the	the	DET
ejpam-5873	188	20	restriction	restriction	NOUN
ejpam-5873	188	21	on	on	ADP
ejpam-5873	188	22	the	the	DET
ejpam-5873	188	23	choice	choice	NOUN
ejpam-5873	188	24	of	of	ADP
ejpam-5873	188	25	the	the	DET
ejpam-5873	188	26	field	field	NOUN
ejpam-5873	188	27	,	,	PUNCT
ejpam-5873	188	28	but	but	CCONJ
ejpam-5873	188	29	for	for	ADP
ejpam-5873	188	30	clarity	clarity	NOUN
ejpam-5873	188	31	,	,	PUNCT
ejpam-5873	188	32	we	we	PRON
ejpam-5873	188	33	did	do	VERB
ejpam-5873	188	34	not	not	PART
ejpam-5873	188	35	.	.	PUNCT
ejpam-5873	189	1	the	the	DET
ejpam-5873	189	2	upper	upper	ADJ
ejpam-5873	189	3	l1	l1	PROPN
ejpam-5873	189	4	bound	bind	VERB
ejpam-5873	189	5	for	for	ADP
ejpam-5873	189	6	q	q	ADJ
ejpam-5873	189	7	-	-	PUNCT
ejpam-5873	189	8	ary	ary	PROPN
ejpam-5873	189	9	codes	code	NOUN
ejpam-5873	189	10	as	as	SCONJ
ejpam-5873	189	11	follows	follow	VERB
ejpam-5873	189	12	;	;	PUNCT
ejpam-5873	189	13	given	give	VERB
ejpam-5873	189	14	n	n	CCONJ
ejpam-5873	189	15	,	,	PUNCT
ejpam-5873	189	16	l∈n	l∈n	ADJ
ejpam-5873	189	17	,	,	PUNCT
ejpam-5873	189	18	then	then	ADV
ejpam-5873	189	19	the	the	DET
ejpam-5873	189	20	upper	upper	ADJ
ejpam-5873	189	21	l1	l1	PROPN
ejpam-5873	189	22	bound	bind	VERB
ejpam-5873	189	23	,	,	PUNCT
ejpam-5873	189	24	d(n	d(n	PROPN
ejpam-5873	189	25	,	,	PUNCT
ejpam-5873	189	26	l	l	NOUN
ejpam-5873	189	27	)	)	PUNCT
ejpam-5873	189	28	≤	≤	NOUN
ejpam-5873	189	29	n∑	n∑	CCONJ
ejpam-5873	190	1	w=0	w=0	PROPN
ejpam-5873	190	2	⌊	⌊	PROPN
ejpam-5873	190	3	(	(	PUNCT
ejpam-5873	190	4	n+	n+	PRON
ejpam-5873	190	5	2l	2l	PROPN
ejpam-5873	190	6	w	w	NOUN
ejpam-5873	190	7	+	+	X
ejpam-5873	190	8	l	l	NOUN
ejpam-5873	190	9	)	)	PUNCT
ejpam-5873	190	10	/	/	SYM
ejpam-5873	190	11	(	(	PUNCT
ejpam-5873	190	12	n+	n+	NUM
ejpam-5873	190	13	2l	2l	X
ejpam-5873	190	14	l	l	NOUN
ejpam-5873	190	15	)	)	PUNCT
ejpam-5873	190	16	⌋	⌋	NOUN
ejpam-5873	190	17	.	.	PUNCT
ejpam-5873	191	1	(	(	PUNCT
ejpam-5873	191	2	15	15	X
ejpam-5873	191	3	)	)	PUNCT
ejpam-5873	191	4	consider	consider	VERB
ejpam-5873	191	5	the	the	DET
ejpam-5873	191	6	following	follow	VERB
ejpam-5873	191	7	two	two	NUM
ejpam-5873	191	8	examples	example	NOUN
ejpam-5873	191	9	;	;	PUNCT
ejpam-5873	191	10	table	table	NOUN
ejpam-5873	191	11	3	3	NUM
ejpam-5873	191	12	shows	show	VERB
ejpam-5873	191	13	a	a	DET
ejpam-5873	191	14	code	code	NOUN
ejpam-5873	191	15	of	of	ADP
ejpam-5873	191	16	length	length	NOUN
ejpam-5873	191	17	n	n	NOUN
ejpam-5873	191	18	=	=	SYM
ejpam-5873	191	19	5	5	NUM
ejpam-5873	191	20	which	which	PRON
ejpam-5873	191	21	is	be	AUX
ejpam-5873	191	22	capable	capable	ADJ
ejpam-5873	191	23	of	of	ADP
ejpam-5873	191	24	correcting	correct	VERB
ejpam-5873	191	25	a	a	DET
ejpam-5873	191	26	single	single	ADJ
ejpam-5873	191	27	left	left	NOUN
ejpam-5873	191	28	(	(	PUNCT
ejpam-5873	191	29	right	right	ADJ
ejpam-5873	191	30	)	)	PUNCT
ejpam-5873	191	31	peak	peak	NOUN
ejpam-5873	191	32	shift	shift	NOUN
ejpam-5873	191	33	of	of	ADP
ejpam-5873	191	34	size	size	NOUN
ejpam-5873	191	35	l	l	NOUN
ejpam-5873	191	36	=	=	SYM
ejpam-5873	191	37	1	1	NUM
ejpam-5873	191	38	and	and	CCONJ
ejpam-5873	191	39	table	table	NOUN
ejpam-5873	191	40	4	4	NUM
ejpam-5873	191	41	presents	present	VERB
ejpam-5873	191	42	a	a	DET
ejpam-5873	191	43	code	code	NOUN
ejpam-5873	191	44	of	of	ADP
ejpam-5873	191	45	length	length	NOUN
ejpam-5873	191	46	n	n	NOUN
ejpam-5873	191	47	=	=	SYM
ejpam-5873	191	48	7	7	NUM
ejpam-5873	191	49	which	which	PRON
ejpam-5873	191	50	is	be	AUX
ejpam-5873	191	51	capable	capable	ADJ
ejpam-5873	191	52	of	of	ADP
ejpam-5873	191	53	correcting	correct	VERB
ejpam-5873	191	54	a	a	DET
ejpam-5873	191	55	single	single	ADJ
ejpam-5873	191	56	left	left	NOUN
ejpam-5873	191	57	(	(	PUNCT
ejpam-5873	191	58	right	right	ADJ
ejpam-5873	191	59	)	)	PUNCT
ejpam-5873	191	60	peak	peak	NOUN
ejpam-5873	191	61	shift	shift	NOUN
ejpam-5873	191	62	of	of	ADP
ejpam-5873	191	63	size	size	NOUN
ejpam-5873	191	64	l	l	NOUN
ejpam-5873	191	65	=	=	SYM
ejpam-5873	191	66	2	2	X
ejpam-5873	191	67	.	.	X
ejpam-5873	191	68	note	note	VERB
ejpam-5873	191	69	that	that	SCONJ
ejpam-5873	191	70	,	,	PUNCT
ejpam-5873	191	71	in	in	ADP
ejpam-5873	191	72	table	table	NOUN
ejpam-5873	191	73	3	3	NUM
ejpam-5873	191	74	,	,	PUNCT
ejpam-5873	191	75	the	the	DET
ejpam-5873	191	76	minimum	minimum	ADJ
ejpam-5873	191	77	asymmetric	asymmetric	ADJ
ejpam-5873	191	78	l1	l1	PROPN
ejpam-5873	191	79	distance	distance	NOUN
ejpam-5873	191	80	between	between	ADP
ejpam-5873	191	81	any	any	DET
ejpam-5873	191	82	two	two	NUM
ejpam-5873	191	83	codewords	codeword	NOUN
ejpam-5873	191	84	x	x	X
ejpam-5873	191	85	,	,	PUNCT
ejpam-5873	191	86	y	y	PROPN
ejpam-5873	191	87	∈	∈	PROPN
ejpam-5873	191	88	cw	cw	NOUN
ejpam-5873	191	89	is	be	AUX
ejpam-5873	191	90	2	2	NUM
ejpam-5873	191	91	.	.	PUNCT
ejpam-5873	192	1	thus	thus	ADV
ejpam-5873	192	2	,	,	PUNCT
ejpam-5873	192	3	this	this	DET
ejpam-5873	192	4	code	code	NOUN
ejpam-5873	192	5	is	be	AUX
ejpam-5873	192	6	capable	capable	ADJ
ejpam-5873	192	7	of	of	ADP
ejpam-5873	192	8	correcting	correct	VERB
ejpam-5873	192	9	a	a	DET
ejpam-5873	192	10	single	single	ADJ
ejpam-5873	192	11	peak	peak	NOUN
ejpam-5873	192	12	shift	shift	NOUN
ejpam-5873	192	13	of	of	ADP
ejpam-5873	192	14	size	size	NOUN
ejpam-5873	192	15	l	l	NOUN
ejpam-5873	192	16	=	=	NOUN
ejpam-5873	192	17	1	1	X
ejpam-5873	192	18	.	.	PUNCT
ejpam-5873	193	1	in	in	ADP
ejpam-5873	193	2	table	table	NOUN
ejpam-5873	193	3	4	4	NUM
ejpam-5873	193	4	,	,	PUNCT
ejpam-5873	193	5	the	the	DET
ejpam-5873	193	6	minimum	minimum	ADJ
ejpam-5873	193	7	asymmetric	asymmetric	ADJ
ejpam-5873	193	8	l1	l1	PROPN
ejpam-5873	193	9	distance	distance	NOUN
ejpam-5873	193	10	between	between	ADP
ejpam-5873	193	11	any	any	DET
ejpam-5873	193	12	two	two	NUM
ejpam-5873	193	13	codewords	codeword	NOUN
ejpam-5873	193	14	x	x	X
ejpam-5873	193	15	,	,	PUNCT
ejpam-5873	193	16	y	y	PROPN
ejpam-5873	193	17	∈	∈	PROPN
ejpam-5873	193	18	cw	cw	NOUN
ejpam-5873	193	19	is	be	AUX
ejpam-5873	193	20	3	3	NUM
ejpam-5873	193	21	and	and	CCONJ
ejpam-5873	193	22	therefore	therefore	ADV
ejpam-5873	193	23	this	this	DET
ejpam-5873	193	24	code	code	NOUN
ejpam-5873	193	25	is	be	AUX
ejpam-5873	193	26	capable	capable	ADJ
ejpam-5873	193	27	of	of	ADP
ejpam-5873	193	28	correcting	correct	VERB
ejpam-5873	193	29	a	a	DET
ejpam-5873	193	30	single	single	ADJ
ejpam-5873	193	31	peak	peak	NOUN
ejpam-5873	193	32	shift	shift	NOUN
ejpam-5873	193	33	of	of	ADP
ejpam-5873	193	34	size	size	NOUN
ejpam-5873	193	35	l	l	NOUN
ejpam-5873	194	1	=	=	SYM
ejpam-5873	194	2	2	2	X
ejpam-5873	194	3	.	.	X
ejpam-5873	195	1	in	in	ADP
ejpam-5873	195	2	table	table	NOUN
ejpam-5873	195	3	5	5	NUM
ejpam-5873	195	4	,	,	PUNCT
ejpam-5873	195	5	the	the	DET
ejpam-5873	195	6	numbers	number	NOUN
ejpam-5873	195	7	of	of	ADP
ejpam-5873	195	8	codewords	codeword	NOUN
ejpam-5873	195	9	for	for	ADP
ejpam-5873	195	10	the	the	DET
ejpam-5873	195	11	proposed	propose	VERB
ejpam-5873	195	12	code	code	NOUN
ejpam-5873	195	13	for	for	ADP
ejpam-5873	195	14	the	the	DET
ejpam-5873	195	15	codelength	codelength	NOUN
ejpam-5873	195	16	,	,	PUNCT
ejpam-5873	195	17	n	n	NOUN
ejpam-5873	195	18	=	=	SYM
ejpam-5873	195	19	1	1	NUM
ejpam-5873	195	20	,	,	PUNCT
ejpam-5873	195	21	.	.	PUNCT
ejpam-5873	195	22	.	.	PUNCT
ejpam-5873	195	23	.	.	PUNCT
ejpam-5873	196	1	,	,	PUNCT
ejpam-5873	196	2	20	20	NUM
ejpam-5873	196	3	and	and	CCONJ
ejpam-5873	196	4	the	the	DET
ejpam-5873	196	5	peak	peak	NOUN
ejpam-5873	196	6	shift	shift	NOUN
ejpam-5873	196	7	of	of	ADP
ejpam-5873	196	8	sizes	size	NOUN
ejpam-5873	196	9	l	l	NOUN
ejpam-5873	196	10	=	=	SYM
ejpam-5873	196	11	ll(lr	ll(lr	PROPN
ejpam-5873	196	12	)	)	PUNCT
ejpam-5873	196	13	=	=	SYM
ejpam-5873	196	14	1	1	NUM
ejpam-5873	196	15	,	,	PUNCT
ejpam-5873	196	16	.	.	PUNCT
ejpam-5873	196	17	.	.	PUNCT
ejpam-5873	196	18	.	.	PUNCT
ejpam-5873	197	1	,	,	PUNCT
ejpam-5873	197	2	8	8	NUM
ejpam-5873	197	3	are	be	AUX
ejpam-5873	197	4	shown	show	VERB
ejpam-5873	197	5	.	.	PUNCT
ejpam-5873	198	1	the	the	DET
ejpam-5873	198	2	following	follow	VERB
ejpam-5873	198	3	is	be	AUX
ejpam-5873	198	4	an	an	DET
ejpam-5873	198	5	example	example	NOUN
ejpam-5873	198	6	of	of	ADP
ejpam-5873	198	7	how	how	SCONJ
ejpam-5873	198	8	the	the	DET
ejpam-5873	198	9	lower	low	ADJ
ejpam-5873	198	10	and	and	CCONJ
ejpam-5873	198	11	upper	upper	ADJ
ejpam-5873	198	12	bounds	bound	NOUN
ejpam-5873	198	13	are	be	AUX
ejpam-5873	198	14	calculated	calculate	VERB
ejpam-5873	198	15	in	in	ADP
ejpam-5873	198	16	table	table	NOUN
ejpam-5873	198	17	3	3	NUM
ejpam-5873	198	18	.	.	PUNCT
ejpam-5873	199	1	let	let	VERB
ejpam-5873	199	2	n	n	NOUN
ejpam-5873	199	3	=	=	SYM
ejpam-5873	199	4	5	5	NUM
ejpam-5873	199	5	and	and	CCONJ
ejpam-5873	199	6	ℓ	ℓ	NOUN
ejpam-5873	199	7	=	=	SYM
ejpam-5873	199	8	1	1	NUM
ejpam-5873	199	9	.	.	PUNCT
ejpam-5873	200	1	thus	thus	ADV
ejpam-5873	200	2	,	,	PUNCT
ejpam-5873	200	3	|c|	|c|	PROPN
ejpam-5873	200	4	≥	≥	NUM
ejpam-5873	200	5	1	1	NUM
ejpam-5873	200	6	+	+	CCONJ
ejpam-5873	200	7	⌈	⌈	NUM
ejpam-5873	200	8	n	n	CCONJ
ejpam-5873	200	9	ℓ+	ℓ+	X
ejpam-5873	200	10	1	1	NUM
ejpam-5873	200	11	⌉	⌉	X
ejpam-5873	200	12	+	+	SYM
ejpam-5873	200	13	n∑	n∑	ADJ
ejpam-5873	200	14	w=2	w=2	PROPN
ejpam-5873	200	15	⌈	⌈	PROPN
ejpam-5873	200	16	(	(	PUNCT
ejpam-5873	200	17	n	n	X
ejpam-5873	200	18	w	w	NOUN
ejpam-5873	200	19	)	)	PUNCT
ejpam-5873	200	20	|fw|ℓ	|fw|ℓ	PROPN
ejpam-5873	200	21	⌉	⌉	PRON
ejpam-5873	200	22	|c|	|c|	PROPN
ejpam-5873	200	23	≥	≥	NUM
ejpam-5873	200	24	1	1	NUM
ejpam-5873	200	25	+	+	CCONJ
ejpam-5873	200	26	⌈	⌈	SYM
ejpam-5873	200	27	5	5	NUM
ejpam-5873	200	28	2	2	NUM
ejpam-5873	200	29	⌉	⌉	NOUN
ejpam-5873	200	30	+	+	CCONJ
ejpam-5873	200	31	⌈	⌈	SYM
ejpam-5873	200	32	10	10	NUM
ejpam-5873	200	33	3	3	NUM
ejpam-5873	200	34	⌉	⌉	NOUN
ejpam-5873	200	35	+	+	CCONJ
ejpam-5873	200	36	⌈	⌈	SYM
ejpam-5873	200	37	10	10	NUM
ejpam-5873	200	38	4	4	NUM
ejpam-5873	200	39	⌉	⌉	NOUN
ejpam-5873	200	40	+	+	CCONJ
ejpam-5873	200	41	1	1	NUM
ejpam-5873	200	42	+	+	CCONJ
ejpam-5873	200	43	⌈	⌈	SYM
ejpam-5873	200	44	1	1	NUM
ejpam-5873	200	45	7	7	NUM
ejpam-5873	200	46	⌉	⌉	NOUN
ejpam-5873	200	47	=	=	SYM
ejpam-5873	200	48	13	13	NUM
ejpam-5873	200	49	.	.	PUNCT
ejpam-5873	201	1	d(n	d(n	NOUN
ejpam-5873	201	2	,	,	PUNCT
ejpam-5873	201	3	ℓ	ℓ	NUM
ejpam-5873	201	4	)	)	PUNCT
ejpam-5873	201	5	≤	≤	NOUN
ejpam-5873	201	6	n∑	n∑	CCONJ
ejpam-5873	201	7	w=0	w=0	X
ejpam-5873	202	1	⌊	⌊	PROPN
ejpam-5873	202	2	(	(	PUNCT
ejpam-5873	202	3	n+2ℓ	n+2ℓ	PROPN
ejpam-5873	202	4	w+ℓ	w+ℓ	NUM
ejpam-5873	202	5	)	)	PUNCT
ejpam-5873	202	6	(	(	PUNCT
ejpam-5873	202	7	n+2ℓ	n+2ℓ	NOUN
ejpam-5873	202	8	ℓ	ℓ	PROPN
ejpam-5873	202	9	)	)	PUNCT
ejpam-5873	202	10	⌋⌊	⌋⌊	PROPN
ejpam-5873	202	11	(	(	PUNCT
ejpam-5873	202	12	7	7	NUM
ejpam-5873	202	13	1	1	NUM
ejpam-5873	202	14	)	)	PUNCT
ejpam-5873	202	15	(	(	PUNCT
ejpam-5873	202	16	7	7	NUM
ejpam-5873	202	17	1	1	NUM
ejpam-5873	202	18	)	)	PUNCT
ejpam-5873	202	19	⌋+	⌋+	X
ejpam-5873	203	1	⌊	⌊	VERB
ejpam-5873	203	2	(	(	PUNCT
ejpam-5873	203	3	7	7	NUM
ejpam-5873	203	4	2	2	NUM
ejpam-5873	203	5	)	)	PUNCT
ejpam-5873	203	6	(	(	PUNCT
ejpam-5873	203	7	7	7	NUM
ejpam-5873	203	8	1	1	NUM
ejpam-5873	203	9	)	)	PUNCT
ejpam-5873	203	10	⌋+	⌋+	X
ejpam-5873	204	1	⌊	⌊	VERB
ejpam-5873	204	2	(	(	PUNCT
ejpam-5873	204	3	7	7	NUM
ejpam-5873	204	4	3	3	NUM
ejpam-5873	204	5	)	)	PUNCT
ejpam-5873	204	6	(	(	PUNCT
ejpam-5873	204	7	7	7	NUM
ejpam-5873	204	8	1	1	NUM
ejpam-5873	204	9	)	)	PUNCT
ejpam-5873	204	10	⌋+	⌋+	X
ejpam-5873	205	1	⌊	⌊	VERB
ejpam-5873	205	2	(	(	PUNCT
ejpam-5873	205	3	7	7	NUM
ejpam-5873	205	4	4	4	NUM
ejpam-5873	205	5	)	)	PUNCT
ejpam-5873	205	6	(	(	PUNCT
ejpam-5873	205	7	7	7	NUM
ejpam-5873	205	8	1	1	NUM
ejpam-5873	205	9	)	)	PUNCT
ejpam-5873	205	10	⌋+	⌋+	X
ejpam-5873	206	1	⌊	⌊	VERB
ejpam-5873	206	2	(	(	PUNCT
ejpam-5873	206	3	7	7	NUM
ejpam-5873	206	4	5	5	NUM
ejpam-5873	206	5	)	)	PUNCT
ejpam-5873	206	6	(	(	PUNCT
ejpam-5873	206	7	7	7	NUM
ejpam-5873	206	8	1	1	NUM
ejpam-5873	206	9	)	)	PUNCT
ejpam-5873	206	10	⌋+	⌋+	X
ejpam-5873	207	1	⌊	⌊	VERB
ejpam-5873	207	2	(	(	PUNCT
ejpam-5873	207	3	7	7	NUM
ejpam-5873	207	4	6	6	NUM
ejpam-5873	207	5	)	)	PUNCT
ejpam-5873	207	6	(	(	PUNCT
ejpam-5873	207	7	7	7	NUM
ejpam-5873	207	8	1	1	NUM
ejpam-5873	207	9	)	)	PUNCT
ejpam-5873	207	10	⌋	⌋	NOUN
ejpam-5873	208	1	=	=	PUNCT
ejpam-5873	208	2	⌊	⌊	VERB
ejpam-5873	208	3	7	7	NUM
ejpam-5873	208	4	7	7	NUM
ejpam-5873	208	5	⌋	⌋	NOUN
ejpam-5873	208	6	+	+	CCONJ
ejpam-5873	208	7	⌊	⌊	PROPN
ejpam-5873	208	8	21	21	NUM
ejpam-5873	208	9	7	7	NUM
ejpam-5873	208	10	⌋	⌋	NOUN
ejpam-5873	209	1	+	+	CCONJ
ejpam-5873	209	2	⌊	⌊	PROPN
ejpam-5873	209	3	35	35	NUM
ejpam-5873	209	4	7	7	NUM
ejpam-5873	209	5	⌋	⌋	NOUN
ejpam-5873	210	1	+	+	CCONJ
ejpam-5873	210	2	⌊	⌊	PROPN
ejpam-5873	210	3	35	35	NUM
ejpam-5873	210	4	7	7	NUM
ejpam-5873	210	5	⌋	⌋	NOUN
ejpam-5873	211	1	+	+	CCONJ
ejpam-5873	211	2	⌊	⌊	PROPN
ejpam-5873	211	3	21	21	NUM
ejpam-5873	211	4	7	7	NUM
ejpam-5873	211	5	⌋	⌋	NOUN
ejpam-5873	211	6	+	+	CCONJ
ejpam-5873	211	7	⌊	⌊	PROPN
ejpam-5873	211	8	7	7	NUM
ejpam-5873	211	9	7	7	NUM
ejpam-5873	211	10	⌋	⌋	NOUN
ejpam-5873	211	11	=	=	PUNCT
ejpam-5873	211	12	1	1	NUM
ejpam-5873	212	1	+	+	NUM
ejpam-5873	212	2	3	3	NUM
ejpam-5873	213	1	+	+	SYM
ejpam-5873	213	2	5	5	NUM
ejpam-5873	213	3	+	+	SYM
ejpam-5873	213	4	5	5	NUM
ejpam-5873	213	5	+	+	CCONJ
ejpam-5873	213	6	3	3	NUM
ejpam-5873	213	7	+	+	SYM
ejpam-5873	213	8	1	1	NUM
ejpam-5873	213	9	=	=	SYM
ejpam-5873	213	10	18	18	NUM
ejpam-5873	213	11	as	as	SCONJ
ejpam-5873	213	12	stated	state	VERB
ejpam-5873	213	13	in	in	ADP
ejpam-5873	213	14	the	the	DET
ejpam-5873	213	15	table	table	NOUN
ejpam-5873	213	16	.	.	PUNCT
ejpam-5873	214	1	table	table	NOUN
ejpam-5873	214	2	5	5	NUM
ejpam-5873	214	3	shows	show	VERB
ejpam-5873	214	4	the	the	DET
ejpam-5873	214	5	cardinality	cardinality	NOUN
ejpam-5873	214	6	of	of	ADP
ejpam-5873	214	7	the	the	DET
ejpam-5873	214	8	proposed	propose	VERB
ejpam-5873	214	9	code	code	NOUN
ejpam-5873	214	10	versus	versus	ADP
ejpam-5873	214	11	the	the	DET
ejpam-5873	214	12	peak	peak	NOUN
ejpam-5873	214	13	-	-	PUNCT
ejpam-5873	214	14	shift	shift	NOUN
ejpam-5873	214	15	errors	error	NOUN
ejpam-5873	214	16	for	for	ADP
ejpam-5873	214	17	different	different	ADJ
ejpam-5873	214	18	code	code	NOUN
ejpam-5873	214	19	lengths	length	NOUN
ejpam-5873	214	20	,	,	PUNCT
ejpam-5873	214	21	n	n	CCONJ
ejpam-5873	214	22	,	,	PUNCT
ejpam-5873	214	23	and	and	CCONJ
ejpam-5873	214	24	various	various	ADJ
ejpam-5873	214	25	numbers	number	NOUN
ejpam-5873	214	26	of	of	ADP
ejpam-5873	214	27	errors	error	NOUN
ejpam-5873	214	28	,	,	PUNCT
ejpam-5873	214	29	ll	ll	AUX
ejpam-5873	214	30	(	(	PUNCT
ejpam-5873	214	31	lr	lr	NOUN
ejpam-5873	214	32	)	)	PUNCT
ejpam-5873	214	33	.	.	PUNCT
ejpam-5873	215	1	as	as	SCONJ
ejpam-5873	215	2	expected	expect	VERB
ejpam-5873	215	3	,	,	PUNCT
ejpam-5873	215	4	for	for	ADP
ejpam-5873	215	5	fixed	fixed	ADJ
ejpam-5873	215	6	n	n	CCONJ
ejpam-5873	215	7	,	,	PUNCT
ejpam-5873	215	8	the	the	DET
ejpam-5873	215	9	number	number	NOUN
ejpam-5873	215	10	of	of	ADP
ejpam-5873	215	11	codewords	codeword	NOUN
ejpam-5873	215	12	decreases	decrease	VERB
ejpam-5873	215	13	as	as	ADP
ejpam-5873	215	14	ll	ll	NOUN
ejpam-5873	215	15	(	(	PUNCT
ejpam-5873	215	16	lr)-peak	lr)-peak	NOUN
ejpam-5873	215	17	shift	shift	NOUN
ejpam-5873	215	18	errors	error	NOUN
ejpam-5873	215	19	increase	increase	VERB
ejpam-5873	215	20	.	.	PUNCT
ejpam-5873	216	1	it	it	PRON
ejpam-5873	216	2	is	be	AUX
ejpam-5873	216	3	worth	worth	ADJ
ejpam-5873	216	4	mentioning	mention	VERB
ejpam-5873	216	5	that	that	PRON
ejpam-5873	216	6	for	for	ADP
ejpam-5873	216	7	fixed	fixed	ADJ
ejpam-5873	216	8	n	n	CCONJ
ejpam-5873	216	9	,	,	PUNCT
ejpam-5873	216	10	the	the	DET
ejpam-5873	216	11	numbers	number	NOUN
ejpam-5873	216	12	of	of	ADP
ejpam-5873	216	13	codewords	codeword	NOUN
ejpam-5873	216	14	tends	tend	VERB
ejpam-5873	216	15	to	to	PART
ejpam-5873	216	16	increase	increase	VERB
ejpam-5873	216	17	with	with	ADP
ejpam-5873	216	18	weight	weight	NOUN
ejpam-5873	216	19	increases	increase	NOUN
ejpam-5873	216	20	until	until	SCONJ
ejpam-5873	216	21	it	it	PRON
ejpam-5873	216	22	reaches	reach	VERB
ejpam-5873	216	23	the	the	DET
ejpam-5873	216	24	middle	middle	ADJ
ejpam-5873	216	25	weight	weight	NOUN
ejpam-5873	217	1	and	and	CCONJ
ejpam-5873	217	2	then	then	ADV
ejpam-5873	217	3	it	it	PRON
ejpam-5873	217	4	starts	start	VERB
ejpam-5873	217	5	decreasing	decrease	VERB
ejpam-5873	217	6	.	.	PUNCT
ejpam-5873	218	1	for	for	ADP
ejpam-5873	218	2	example	example	NOUN
ejpam-5873	218	3	,	,	PUNCT
ejpam-5873	218	4	for	for	ADP
ejpam-5873	218	5	n	n	NOUN
ejpam-5873	218	6	=	=	SYM
ejpam-5873	218	7	15	15	NUM
ejpam-5873	218	8	and	and	CCONJ
ejpam-5873	218	9	ll(lr	ll(lr	PROPN
ejpam-5873	218	10	)	)	PUNCT
ejpam-5873	218	11	=	=	SYM
ejpam-5873	218	12	2	2	NUM
ejpam-5873	218	13	,	,	PUNCT
ejpam-5873	218	14	the	the	DET
ejpam-5873	218	15	highest	high	ADJ
ejpam-5873	218	16	numbers	number	NOUN
ejpam-5873	218	17	of	of	ADP
ejpam-5873	218	18	codewords	codeword	NOUN
ejpam-5873	218	19	occur	occur	VERB
ejpam-5873	218	20	in	in	ADP
ejpam-5873	218	21	weight	weight	NOUN
ejpam-5873	218	22	6	6	NUM
ejpam-5873	218	23	which	which	PRON
ejpam-5873	218	24	is	be	AUX
ejpam-5873	218	25	around	around	ADP
ejpam-5873	218	26	85	85	NUM
ejpam-5873	218	27	codewords	codeword	NOUN
ejpam-5873	218	28	.	.	PUNCT
ejpam-5873	219	1	in	in	ADP
ejpam-5873	219	2	particular	particular	ADJ
ejpam-5873	219	3	,	,	PUNCT
ejpam-5873	219	4	cardinality	cardinality	NOUN
ejpam-5873	219	5	increases	increase	VERB
ejpam-5873	219	6	with	with	ADP
ejpam-5873	219	7	respect	respect	NOUN
ejpam-5873	219	8	to	to	ADP
ejpam-5873	219	9	n	n	CCONJ
ejpam-5873	219	10	,	,	PUNCT
ejpam-5873	219	11	which	which	PRON
ejpam-5873	219	12	is	be	AUX
ejpam-5873	219	13	consistent	consistent	ADJ
ejpam-5873	219	14	with	with	ADP
ejpam-5873	219	15	standard	standard	ADJ
ejpam-5873	219	16	coding	code	VERB
ejpam-5873	219	17	theory	theory	NOUN
ejpam-5873	219	18	principles	principle	NOUN
ejpam-5873	219	19	and	and	CCONJ
ejpam-5873	219	20	reflects	reflect	VERB
ejpam-5873	219	21	the	the	DET
ejpam-5873	219	22	increasing	increase	VERB
ejpam-5873	219	23	capability	capability	NOUN
ejpam-5873	219	24	and	and	CCONJ
ejpam-5873	219	25	capacity	capacity	NOUN
ejpam-5873	219	26	of	of	ADP
ejpam-5873	219	27	the	the	DET
ejpam-5873	219	28	proposed	propose	VERB
ejpam-5873	219	29	σ	σ	PROPN
ejpam-5873	219	30	-	-	PUNCT
ejpam-5873	219	31	code	code	NOUN
ejpam-5873	219	32	as	as	SCONJ
ejpam-5873	219	33	the	the	DET
ejpam-5873	219	34	code	code	NOUN
ejpam-5873	219	35	length	length	NOUN
ejpam-5873	219	36	grows	grow	VERB
ejpam-5873	219	37	.	.	PUNCT
ejpam-5873	220	1	n.	n.	PROPN
ejpam-5873	220	2	a.	a.	PROPN
ejpam-5873	220	3	alqwaifly	alqwaifly	PROPN
ejpam-5873	220	4	/	/	SYM
ejpam-5873	220	5	eur	eur	PROPN
ejpam-5873	220	6	.	.	PUNCT
ejpam-5873	221	1	j.	j.	PROPN
ejpam-5873	221	2	pure	pure	PROPN
ejpam-5873	221	3	appl	appl	PROPN
ejpam-5873	221	4	.	.	PROPN
ejpam-5873	221	5	math	math	PROPN
ejpam-5873	221	6	,	,	PUNCT
ejpam-5873	221	7	18	18	NUM
ejpam-5873	221	8	(	(	PUNCT
ejpam-5873	221	9	2	2	NUM
ejpam-5873	221	10	)	)	PUNCT
ejpam-5873	221	11	(	(	PUNCT
ejpam-5873	221	12	2025	2025	NUM
ejpam-5873	221	13	)	)	PUNCT
ejpam-5873	221	14	,	,	PUNCT
ejpam-5873	221	15	5873	5873	NUM
ejpam-5873	221	16	11	11	NUM
ejpam-5873	221	17	of	of	ADP
ejpam-5873	221	18	16	16	NUM
ejpam-5873	221	19	table	table	NOUN
ejpam-5873	221	20	3	3	NUM
ejpam-5873	221	21	:	:	PUNCT
ejpam-5873	221	22	non	non	ADJ
ejpam-5873	221	23	-	-	ADJ
ejpam-5873	221	24	systematic	systematic	ADJ
ejpam-5873	221	25	code	code	NOUN
ejpam-5873	221	26	parameters	parameter	NOUN
ejpam-5873	221	27	with	with	ADP
ejpam-5873	221	28	n	n	NOUN
ejpam-5873	221	29	=	=	SYM
ejpam-5873	221	30	5	5	NUM
ejpam-5873	221	31	and	and	CCONJ
ejpam-5873	221	32	l	l	NOUN
ejpam-5873	221	33	=	=	NOUN
ejpam-5873	222	1	1	1	X
ejpam-5873	222	2	.	.	PUNCT
ejpam-5873	223	1	here	here	ADV
ejpam-5873	223	2	,	,	PUNCT
ejpam-5873	223	3	the	the	DET
ejpam-5873	223	4	lower	lower	ADV
ejpam-5873	223	5	bound	bind	VERB
ejpam-5873	223	6	in	in	ADP
ejpam-5873	223	7	(	(	PUNCT
ejpam-5873	223	8	14	14	NUM
ejpam-5873	223	9	)	)	PUNCT
ejpam-5873	223	10	gives	give	VERB
ejpam-5873	223	11	13	13	NUM
ejpam-5873	223	12	,	,	PUNCT
ejpam-5873	223	13	however	however	ADV
ejpam-5873	223	14	,	,	PUNCT
ejpam-5873	223	15	the	the	DET
ejpam-5873	223	16	actual	actual	ADJ
ejpam-5873	223	17	code	code	NOUN
ejpam-5873	223	18	defining	define	VERB
ejpam-5873	223	19	the	the	DET
ejpam-5873	223	20	lower	lower	ADV
ejpam-5873	223	21	bound	bind	VERB
ejpam-5873	223	22	in	in	ADP
ejpam-5873	223	23	(	(	PUNCT
ejpam-5873	223	24	14	14	NUM
ejpam-5873	223	25	)	)	PUNCT
ejpam-5873	223	26	has	have	VERB
ejpam-5873	223	27	|c|	|c|	PROPN
ejpam-5873	223	28	=	=	SYM
ejpam-5873	223	29	15	15	NUM
ejpam-5873	223	30	.	.	PUNCT
ejpam-5873	224	1	also	also	ADV
ejpam-5873	224	2	,	,	PUNCT
ejpam-5873	224	3	the	the	DET
ejpam-5873	224	4	upper	upper	ADJ
ejpam-5873	224	5	bound	bind	VERB
ejpam-5873	224	6	value	value	NOUN
ejpam-5873	224	7	obtained	obtain	VERB
ejpam-5873	224	8	with	with	ADP
ejpam-5873	224	9	(	(	PUNCT
ejpam-5873	224	10	15	15	NUM
ejpam-5873	224	11	)	)	PUNCT
ejpam-5873	224	12	is	be	AUX
ejpam-5873	224	13	18	18	NUM
ejpam-5873	224	14	.	.	PUNCT
ejpam-5873	225	1	w(x	w(x	NOUN
ejpam-5873	225	2	)	)	PUNCT
ejpam-5873	225	3	x	x	SYM
ejpam-5873	225	4	i(x	i(x	NOUN
ejpam-5873	225	5	)	)	PUNCT
ejpam-5873	225	6	m(i(x	m(i(x	PROPN
ejpam-5873	225	7	)	)	PUNCT
ejpam-5873	225	8	)	)	PUNCT
ejpam-5873	226	1	fw	fw	DET
ejpam-5873	226	2	|c|	|c|	PROPN
ejpam-5873	226	3	=	=	NUM
ejpam-5873	226	4	15	15	NUM
ejpam-5873	226	5	0	0	NUM
ejpam-5873	226	6	00000	00000	NUM
ejpam-5873	226	7	−	−	NOUN
ejpam-5873	226	8	0	0	PUNCT
ejpam-5873	226	9	gf	gf	X
ejpam-5873	226	10	(	(	PUNCT
ejpam-5873	226	11	2	2	NUM
ejpam-5873	226	12	)	)	PUNCT
ejpam-5873	226	13	1	1	NUM
ejpam-5873	226	14	00001	00001	NUM
ejpam-5873	226	15	4	4	NUM
ejpam-5873	226	16	1	1	NUM
ejpam-5873	226	17	00100	00100	NUM
ejpam-5873	226	18	2	2	NUM
ejpam-5873	226	19	1	1	NUM
ejpam-5873	226	20	gf	gf	X
ejpam-5873	226	21	(	(	PUNCT
ejpam-5873	226	22	2	2	NUM
ejpam-5873	226	23	)	)	PUNCT
ejpam-5873	226	24	3	3	NUM
ejpam-5873	226	25	10000	10000	NUM
ejpam-5873	226	26	0	0	NUM
ejpam-5873	226	27	00011	00011	NUM
ejpam-5873	226	28	34	34	NUM
ejpam-5873	226	29	00110	00110	NUM
ejpam-5873	226	30	23	23	NUM
ejpam-5873	226	31	2	2	NUM
ejpam-5873	226	32	11000	11000	NUM
ejpam-5873	226	33	01	01	NUM
ejpam-5873	226	34	2	2	NUM
ejpam-5873	226	35	gf	gf	X
ejpam-5873	226	36	(	(	PUNCT
ejpam-5873	226	37	3	3	NUM
ejpam-5873	226	38	)	)	PUNCT
ejpam-5873	226	39	5	5	NUM
ejpam-5873	226	40	01100	01100	NUM
ejpam-5873	226	41	12	12	NUM
ejpam-5873	226	42	10001	10001	NUM
ejpam-5873	226	43	04	04	NUM
ejpam-5873	226	44	00111	00111	NUM
ejpam-5873	226	45	234	234	NUM
ejpam-5873	226	46	3	3	NUM
ejpam-5873	226	47	11100	11100	NUM
ejpam-5873	226	48	012	012	NUM
ejpam-5873	226	49	3	3	NUM
ejpam-5873	226	50	gf	gf	X
ejpam-5873	226	51	(	(	PUNCT
ejpam-5873	226	52	22	22	NUM
ejpam-5873	226	53	)	)	PUNCT
ejpam-5873	226	54	3	3	NUM
ejpam-5873	226	55	10101	10101	NUM
ejpam-5873	226	56	024	024	NUM
ejpam-5873	226	57	4	4	NUM
ejpam-5873	226	58	01111	01111	NUM
ejpam-5873	226	59	1234	1234	NUM
ejpam-5873	226	60	4	4	NUM
ejpam-5873	226	61	gf	gf	X
ejpam-5873	226	62	(	(	PUNCT
ejpam-5873	226	63	5	5	NUM
ejpam-5873	226	64	)	)	PUNCT
ejpam-5873	226	65	2	2	NUM
ejpam-5873	226	66	11110	11110	NUM
ejpam-5873	226	67	0123	0123	NUM
ejpam-5873	226	68	5	5	NUM
ejpam-5873	226	69	11111	11111	NUM
ejpam-5873	226	70	01234	01234	NUM
ejpam-5873	226	71	5	5	NUM
ejpam-5873	226	72	gf	gf	X
ejpam-5873	226	73	(	(	PUNCT
ejpam-5873	226	74	7	7	NUM
ejpam-5873	226	75	)	)	PUNCT
ejpam-5873	226	76	1	1	NUM
ejpam-5873	226	77	3.3	3.3	NUM
ejpam-5873	226	78	.	.	PUNCT
ejpam-5873	227	1	l	l	ADJ
ejpam-5873	227	2	-	-	PUNCT
ejpam-5873	227	3	peak	peak	NOUN
ejpam-5873	227	4	-	-	PUNCT
ejpam-5873	227	5	shift	shift	NOUN
ejpam-5873	227	6	decoding	decode	VERB
ejpam-5873	227	7	algorithm	algorithm	NOUN
ejpam-5873	227	8	since	since	SCONJ
ejpam-5873	227	9	the	the	DET
ejpam-5873	227	10	problem	problem	NOUN
ejpam-5873	227	11	is	be	AUX
ejpam-5873	227	12	transferred	transfer	VERB
ejpam-5873	227	13	from	from	ADP
ejpam-5873	227	14	peak	peak	NOUN
ejpam-5873	227	15	-	-	PUNCT
ejpam-5873	227	16	shift	shift	NOUN
ejpam-5873	227	17	ec	ec	PROPN
ejpam-5873	227	18	problem	problem	NOUN
ejpam-5873	227	19	into	into	ADP
ejpam-5873	227	20	the	the	DET
ejpam-5873	227	21	constant	constant	ADJ
ejpam-5873	227	22	weight	weight	NOUN
ejpam-5873	227	23	l1	l1	PROPN
ejpam-5873	227	24	problem	problem	NOUN
ejpam-5873	228	1	,	,	PUNCT
ejpam-5873	228	2	we	we	PRON
ejpam-5873	228	3	can	can	AUX
ejpam-5873	228	4	implement	implement	VERB
ejpam-5873	228	5	the	the	DET
ejpam-5873	228	6	general	general	ADJ
ejpam-5873	228	7	l	l	NOUN
ejpam-5873	228	8	-	-	PROPN
ejpam-5873	228	9	syec/(l	syec/(l	PUNCT
ejpam-5873	228	10	+	+	CCONJ
ejpam-5873	228	11	1)-syed	1)-syed	NUM
ejpam-5873	228	12	/	/	SYM
ejpam-5873	228	13	aued	aue	VERB
ejpam-5873	228	14	decoding	decode	VERB
ejpam-5873	228	15	algorithm	algorithm	NOUN
ejpam-5873	228	16	for	for	ADP
ejpam-5873	228	17	constant	constant	ADJ
ejpam-5873	228	18	weight	weight	NOUN
ejpam-5873	228	19	codes	code	NOUN
ejpam-5873	228	20	as	as	ADP
ejpam-5873	228	21	the	the	DET
ejpam-5873	228	22	one	one	NUM
ejpam-5873	228	23	in	in	ADP
ejpam-5873	228	24	[	[	X
ejpam-5873	228	25	6	6	NUM
ejpam-5873	228	26	]	]	PUNCT
ejpam-5873	228	27	.	.	PUNCT
ejpam-5873	229	1	the	the	DET
ejpam-5873	229	2	algorithm	algorithm	NOUN
ejpam-5873	229	3	1	1	NUM
ejpam-5873	229	4	is	be	AUX
ejpam-5873	229	5	a	a	DET
ejpam-5873	229	6	general	general	ADJ
ejpam-5873	229	7	efficient	efficient	ADJ
ejpam-5873	229	8	error	error	NOUN
ejpam-5873	229	9	control	control	NOUN
ejpam-5873	229	10	algorithm	algorithm	NOUN
ejpam-5873	229	11	for	for	ADP
ejpam-5873	229	12	any	any	DET
ejpam-5873	229	13	q	q	ADJ
ejpam-5873	229	14	-	-	PUNCT
ejpam-5873	229	15	ary	ary	ADJ
ejpam-5873	229	16	constant	constant	ADJ
ejpam-5873	229	17	weight	weight	NOUN
ejpam-5873	229	18	w	w	PROPN
ejpam-5873	229	19	code	code	PROPN
ejpam-5873	229	20	,	,	PUNCT
ejpam-5873	229	21	a	a	PRON
ejpam-5873	229	22	,	,	PUNCT
ejpam-5873	229	23	of	of	ADP
ejpam-5873	229	24	length	length	NOUN
ejpam-5873	229	25	n	n	NOUN
ejpam-5873	229	26	with	with	ADP
ejpam-5873	229	27	a	a	DET
ejpam-5873	229	28	minimum	minimum	ADJ
ejpam-5873	229	29	l1	l1	PROPN
ejpam-5873	229	30	distance	distance	NOUN
ejpam-5873	229	31	dsyl1	dsyl1	NOUN
ejpam-5873	229	32	(	(	PUNCT
ejpam-5873	229	33	a	a	X
ejpam-5873	229	34	)	)	PUNCT
ejpam-5873	229	35	≥	≥	NOUN
ejpam-5873	229	36	2(l	2(l	NUM
ejpam-5873	229	37	+	+	CCONJ
ejpam-5873	229	38	1	1	NUM
ejpam-5873	229	39	)	)	PUNCT
ejpam-5873	229	40	.	.	PUNCT
ejpam-5873	230	1	algorithm	algorithm	PROPN
ejpam-5873	230	2	1	1	NUM
ejpam-5873	230	3	.	.	PUNCT
ejpam-5873	230	4	general	general	ADJ
ejpam-5873	230	5	l	l	NOUN
ejpam-5873	230	6	-	-	PROPN
ejpam-5873	230	7	syec/(l	syec/(l	PUNCT
ejpam-5873	230	8	+	+	CCONJ
ejpam-5873	230	9	1)-syed	1)-syed	NUM
ejpam-5873	230	10	/	/	SYM
ejpam-5873	230	11	aued	aue	VERB
ejpam-5873	230	12	decoding	decode	VERB
ejpam-5873	230	13	algorithm	algorithm	NOUN
ejpam-5873	230	14	for	for	ADP
ejpam-5873	230	15	constant	constant	ADJ
ejpam-5873	230	16	weight	weight	NOUN
ejpam-5873	230	17	codes	code	NOUN
ejpam-5873	230	18	input	input	NOUN
ejpam-5873	230	19	:	:	PUNCT
ejpam-5873	230	20	1	1	X
ejpam-5873	230	21	)	)	PUNCT
ejpam-5873	230	22	the	the	DET
ejpam-5873	230	23	code	code	NOUN
ejpam-5873	230	24	a	a	DET
ejpam-5873	230	25	def	def	PROPN
ejpam-5873	230	26	=	=	SYM
ejpam-5873	230	27	âxn−1	âxn−1	PROPN
ejpam-5873	230	28	⊆	⊆	NUM
ejpam-5873	230	29	s(zm	s(zm	PROPN
ejpam-5873	230	30	,	,	PUNCT
ejpam-5873	230	31	n	n	CCONJ
ejpam-5873	230	32	,	,	PUNCT
ejpam-5873	230	33	w	w	NOUN
ejpam-5873	230	34	)	)	PUNCT
ejpam-5873	230	35	,	,	PUNCT
ejpam-5873	230	36	where	where	SCONJ
ejpam-5873	230	37	xn−1	xn−1	PROPN
ejpam-5873	230	38	def	def	VERB
ejpam-5873	230	39	=	=	PUNCT
ejpam-5873	230	40	w	w	PROPN
ejpam-5873	230	41	−	−	PROPN
ejpam-5873	230	42	wl1(x̂)∈zm	wl1(x̂)∈zm	PROPN
ejpam-5873	230	43	,	,	PUNCT
ejpam-5873	230	44	x̂∈â	x̂∈â	PUNCT
ejpam-5873	230	45	,	,	PUNCT
ejpam-5873	230	46	is	be	AUX
ejpam-5873	230	47	the	the	DET
ejpam-5873	230	48	parity	parity	NOUN
ejpam-5873	230	49	digit	digit	NOUN
ejpam-5873	230	50	.	.	PUNCT
ejpam-5873	231	1	2	2	X
ejpam-5873	231	2	)	)	PUNCT
ejpam-5873	231	3	any	any	PRON
ejpam-5873	231	4	efficient	efficient	ADJ
ejpam-5873	231	5	(	(	PUNCT
ejpam-5873	231	6	ll	ll	NOUN
ejpam-5873	231	7	,	,	PUNCT
ejpam-5873	231	8	lr)-ec	lr)-ec	PROPN
ejpam-5873	231	9	decoding	decode	VERB
ejpam-5873	231	10	algorithms	algorithm	NOUN
ejpam-5873	231	11	,	,	PUNCT
ejpam-5873	231	12	dec(â	dec(â	PROPN
ejpam-5873	231	13	,	,	PUNCT
ejpam-5873	231	14	ll	ll	AUX
ejpam-5873	231	15	,	,	PUNCT
ejpam-5873	231	16	lr	lr	PROPN
ejpam-5873	231	17	)	)	PUNCT
ejpam-5873	231	18	,	,	PUNCT
ejpam-5873	231	19	for	for	ADP
ejpam-5873	231	20	â	â	PRON
ejpam-5873	231	21	,	,	PUNCT
ejpam-5873	231	22	for	for	ADP
ejpam-5873	231	23	all	all	DET
ejpam-5873	231	24	l∈n	l∈n	ADJ
ejpam-5873	231	25	such	such	ADJ
ejpam-5873	231	26	that	that	SCONJ
ejpam-5873	231	27	l	l	NOUN
ejpam-5873	231	28	<	<	X
ejpam-5873	231	29	dasl1	dasl1	NOUN
ejpam-5873	231	30	(	(	PUNCT
ejpam-5873	231	31	â	â	ADJ
ejpam-5873	231	32	)	)	PUNCT
ejpam-5873	231	33	.	.	PUNCT
ejpam-5873	232	1	3	3	X
ejpam-5873	232	2	)	)	PUNCT
ejpam-5873	232	3	the	the	PRON
ejpam-5873	232	4	(	(	PUNCT
ejpam-5873	232	5	received	receive	VERB
ejpam-5873	232	6	)	)	PUNCT
ejpam-5873	232	7	word	word	NOUN
ejpam-5873	232	8	y	y	PROPN
ejpam-5873	232	9	=	=	SYM
ejpam-5873	232	10	ŷ	ŷ	NUM
ejpam-5873	232	11	yn∈zn	yn∈zn	AUX
ejpam-5873	232	12	m	m	VERB
ejpam-5873	232	13	with	with	ADP
ejpam-5873	232	14	ŷ	ŷ	NUM
ejpam-5873	232	15	∈zn−1	∈zn−1	PROPN
ejpam-5873	232	16	m	m	PROPN
ejpam-5873	232	17	and	and	CCONJ
ejpam-5873	232	18	yn∈zm	yn∈zm	NOUN
ejpam-5873	232	19	.	.	PUNCT
ejpam-5873	233	1	n.	n.	PROPN
ejpam-5873	233	2	a.	a.	PROPN
ejpam-5873	233	3	alqwaifly	alqwaifly	PROPN
ejpam-5873	233	4	/	/	SYM
ejpam-5873	233	5	eur	eur	PROPN
ejpam-5873	233	6	.	.	PUNCT
ejpam-5873	234	1	j.	j.	PROPN
ejpam-5873	234	2	pure	pure	PROPN
ejpam-5873	234	3	appl	appl	PROPN
ejpam-5873	234	4	.	.	PROPN
ejpam-5873	234	5	math	math	PROPN
ejpam-5873	234	6	,	,	PUNCT
ejpam-5873	234	7	18	18	NUM
ejpam-5873	234	8	(	(	PUNCT
ejpam-5873	234	9	2	2	NUM
ejpam-5873	234	10	)	)	PUNCT
ejpam-5873	234	11	(	(	PUNCT
ejpam-5873	234	12	2025	2025	NUM
ejpam-5873	234	13	)	)	PUNCT
ejpam-5873	234	14	,	,	PUNCT
ejpam-5873	234	15	5873	5873	NUM
ejpam-5873	234	16	12	12	NUM
ejpam-5873	234	17	of	of	ADP
ejpam-5873	234	18	16	16	NUM
ejpam-5873	234	19	table	table	NOUN
ejpam-5873	234	20	4	4	NUM
ejpam-5873	234	21	:	:	PUNCT
ejpam-5873	234	22	non	non	ADJ
ejpam-5873	234	23	-	-	ADJ
ejpam-5873	234	24	systematic	systematic	ADJ
ejpam-5873	234	25	code	code	NOUN
ejpam-5873	234	26	parameters	parameter	NOUN
ejpam-5873	234	27	with	with	ADP
ejpam-5873	234	28	n	n	NOUN
ejpam-5873	234	29	=	=	SYM
ejpam-5873	234	30	7	7	NUM
ejpam-5873	234	31	and	and	CCONJ
ejpam-5873	234	32	l	l	NOUN
ejpam-5873	234	33	=	=	SYM
ejpam-5873	235	1	2	2	X
ejpam-5873	235	2	.	.	PUNCT
ejpam-5873	235	3	here	here	ADV
ejpam-5873	235	4	,	,	PUNCT
ejpam-5873	235	5	the	the	DET
ejpam-5873	235	6	lower	lower	ADV
ejpam-5873	235	7	bound	bind	VERB
ejpam-5873	235	8	in	in	ADP
ejpam-5873	235	9	(	(	PUNCT
ejpam-5873	235	10	14	14	NUM
ejpam-5873	235	11	)	)	PUNCT
ejpam-5873	235	12	gives	give	VERB
ejpam-5873	235	13	15	15	NUM
ejpam-5873	235	14	,	,	PUNCT
ejpam-5873	235	15	however	however	ADV
ejpam-5873	235	16	,	,	PUNCT
ejpam-5873	235	17	the	the	DET
ejpam-5873	235	18	actual	actual	ADJ
ejpam-5873	235	19	code	code	NOUN
ejpam-5873	235	20	defining	define	VERB
ejpam-5873	235	21	the	the	DET
ejpam-5873	235	22	lower	lower	ADV
ejpam-5873	235	23	bound	bind	VERB
ejpam-5873	235	24	in	in	ADP
ejpam-5873	235	25	(	(	PUNCT
ejpam-5873	235	26	14	14	NUM
ejpam-5873	235	27	)	)	PUNCT
ejpam-5873	235	28	has	have	VERB
ejpam-5873	235	29	|c|	|c|	PROPN
ejpam-5873	235	30	=	=	NUM
ejpam-5873	235	31	18	18	NUM
ejpam-5873	235	32	.	.	PUNCT
ejpam-5873	236	1	also	also	ADV
ejpam-5873	236	2	,	,	PUNCT
ejpam-5873	236	3	the	the	DET
ejpam-5873	236	4	upper	upper	ADJ
ejpam-5873	236	5	bound	bind	VERB
ejpam-5873	236	6	value	value	NOUN
ejpam-5873	236	7	obtained	obtain	VERB
ejpam-5873	236	8	with	with	ADP
ejpam-5873	236	9	(	(	PUNCT
ejpam-5873	236	10	15	15	NUM
ejpam-5873	236	11	)	)	PUNCT
ejpam-5873	236	12	is	be	AUX
ejpam-5873	236	13	36	36	NUM
ejpam-5873	236	14	.	.	PUNCT
ejpam-5873	237	1	w(x	w(x	NUM
ejpam-5873	237	2	)	)	PUNCT
ejpam-5873	237	3	x	x	SYM
ejpam-5873	237	4	i(x	i(x	NOUN
ejpam-5873	237	5	)	)	PUNCT
ejpam-5873	237	6	m(i(x	m(i(x	PROPN
ejpam-5873	237	7	)	)	PUNCT
ejpam-5873	237	8	)	)	PUNCT
ejpam-5873	238	1	fw	fw	DET
ejpam-5873	238	2	|c|	|c|	PROPN
ejpam-5873	238	3	=	=	NUM
ejpam-5873	238	4	18	18	NUM
ejpam-5873	238	5	0	0	NUM
ejpam-5873	238	6	0000000	0000000	NUM
ejpam-5873	238	7	0	0	NUM
ejpam-5873	238	8	−	−	NOUN
ejpam-5873	238	9	gf	gf	NOUN
ejpam-5873	238	10	(	(	PUNCT
ejpam-5873	238	11	2	2	NUM
ejpam-5873	238	12	)	)	PUNCT
ejpam-5873	238	13	1	1	NUM
ejpam-5873	238	14	0000001	0000001	NUM
ejpam-5873	238	15	6	6	NUM
ejpam-5873	238	16	1	1	NUM
ejpam-5873	238	17	1000000	1000000	NUM
ejpam-5873	238	18	0	0	NUM
ejpam-5873	238	19	1	1	NUM
ejpam-5873	238	20	gf	gf	X
ejpam-5873	238	21	(	(	PUNCT
ejpam-5873	238	22	2	2	NUM
ejpam-5873	238	23	)	)	PUNCT
ejpam-5873	238	24	2	2	NUM
ejpam-5873	238	25	0001100	0001100	NUM
ejpam-5873	238	26	34	34	NUM
ejpam-5873	238	27	2	2	NUM
ejpam-5873	238	28	1000100	1000100	NUM
ejpam-5873	238	29	04	04	NUM
ejpam-5873	238	30	2	2	NUM
ejpam-5873	238	31	gf	gf	X
ejpam-5873	238	32	(	(	PUNCT
ejpam-5873	238	33	3	3	NUM
ejpam-5873	238	34	)	)	PUNCT
ejpam-5873	238	35	3	3	NUM
ejpam-5873	238	36	1100000	1100000	NUM
ejpam-5873	238	37	01	01	NUM
ejpam-5873	238	38	0011100	0011100	NUM
ejpam-5873	238	39	234	234	NUM
ejpam-5873	238	40	3	3	NUM
ejpam-5873	238	41	1000011	1000011	NUM
ejpam-5873	238	42	056	056	NUM
ejpam-5873	238	43	3	3	NUM
ejpam-5873	238	44	gf	gf	X
ejpam-5873	238	45	(	(	PUNCT
ejpam-5873	238	46	22	22	NUM
ejpam-5873	238	47	)	)	PUNCT
ejpam-5873	238	48	3	3	NUM
ejpam-5873	238	49	1100001	1100001	NUM
ejpam-5873	238	50	016	016	NUM
ejpam-5873	238	51	0001111	0001111	NUM
ejpam-5873	238	52	3456	3456	NUM
ejpam-5873	238	53	4	4	NUM
ejpam-5873	238	54	0011110	0011110	NUM
ejpam-5873	238	55	2345	2345	NUM
ejpam-5873	238	56	4	4	NUM
ejpam-5873	238	57	gf	gf	NOUN
ejpam-5873	238	58	(	(	PUNCT
ejpam-5873	238	59	5	5	NUM
ejpam-5873	238	60	)	)	PUNCT
ejpam-5873	238	61	4	4	NUM
ejpam-5873	238	62	0111100	0111100	NUM
ejpam-5873	238	63	1234	1234	NUM
ejpam-5873	238	64	1010101	1010101	NUM
ejpam-5873	238	65	0246	0246	NUM
ejpam-5873	238	66	5	5	NUM
ejpam-5873	238	67	1101011	1101011	NUM
ejpam-5873	238	68	01356	01356	NUM
ejpam-5873	238	69	5	5	NUM
ejpam-5873	238	70	gf	gf	X
ejpam-5873	238	71	(	(	PUNCT
ejpam-5873	238	72	7	7	NUM
ejpam-5873	238	73	)	)	SYM
ejpam-5873	238	74	2	2	NUM
ejpam-5873	238	75	1111100	1111100	NUM
ejpam-5873	238	76	01234	01234	NUM
ejpam-5873	238	77	6	6	NUM
ejpam-5873	238	78	1111110	1111110	NUM
ejpam-5873	238	79	012345	012345	NUM
ejpam-5873	238	80	6	6	NUM
ejpam-5873	238	81	gf	gf	X
ejpam-5873	238	82	(	(	PUNCT
ejpam-5873	238	83	7	7	NUM
ejpam-5873	238	84	)	)	SYM
ejpam-5873	238	85	2	2	NUM
ejpam-5873	238	86	0111111	0111111	NUM
ejpam-5873	238	87	123456	123456	NUM
ejpam-5873	238	88	7	7	NUM
ejpam-5873	238	89	1111111	1111111	NUM
ejpam-5873	238	90	0123456	0123456	NUM
ejpam-5873	238	91	7	7	NUM
ejpam-5873	238	92	gf	gf	X
ejpam-5873	238	93	(	(	PUNCT
ejpam-5873	238	94	23	23	NUM
ejpam-5873	238	95	)	)	SYM
ejpam-5873	238	96	1	1	NUM
ejpam-5873	238	97	output	output	NOUN
ejpam-5873	238	98	:	:	PUNCT
ejpam-5873	238	99	1	1	X
ejpam-5873	238	100	)	)	PUNCT
ejpam-5873	238	101	a	a	DET
ejpam-5873	238	102	word	word	NOUN
ejpam-5873	238	103	x	x	NOUN
ejpam-5873	238	104	′	′	NUM
ejpam-5873	238	105	=	=	PUNCT
ejpam-5873	238	106	x̂	x̂	NUM
ejpam-5873	239	1	′	′	NUM
ejpam-5873	239	2	x′n	x′n	PROPN
ejpam-5873	240	1	∈zn	∈zn	PROPN
ejpam-5873	240	2	m	m	PROPN
ejpam-5873	240	3	,	,	PUNCT
ejpam-5873	240	4	where	where	SCONJ
ejpam-5873	240	5	x̂	x̂	PUNCT
ejpam-5873	240	6	′	′	PROPN
ejpam-5873	240	7	∈zn−1	∈zn−1	PROPN
ejpam-5873	240	8	m	m	PROPN
ejpam-5873	240	9	and	and	CCONJ
ejpam-5873	240	10	x′n	x′n	PROPN
ejpam-5873	240	11	∈zm	∈zm	PROPN
ejpam-5873	240	12	(	(	PUNCT
ejpam-5873	240	13	the	the	DET
ejpam-5873	240	14	estimation	estimation	NOUN
ejpam-5873	240	15	of	of	ADP
ejpam-5873	240	16	the	the	DET
ejpam-5873	240	17	original	original	ADJ
ejpam-5873	240	18	codeword	codeword	NOUN
ejpam-5873	240	19	)	)	PUNCT
ejpam-5873	240	20	.	.	PUNCT
ejpam-5873	241	1	2	2	X
ejpam-5873	241	2	)	)	PUNCT
ejpam-5873	241	3	an	an	DET
ejpam-5873	241	4	indication	indication	NOUN
ejpam-5873	241	5	signal	signal	PROPN
ejpam-5873	241	6	cor	cor	PROPN
ejpam-5873	241	7	∈	∈	PROPN
ejpam-5873	241	8	{	{	PUNCT
ejpam-5873	241	9	0	0	NUM
ejpam-5873	241	10	,	,	PUNCT
ejpam-5873	241	11	1	1	NUM
ejpam-5873	241	12	}	}	PUNCT
ejpam-5873	241	13	such	such	ADJ
ejpam-5873	241	14	that	that	SCONJ
ejpam-5873	241	15	if	if	SCONJ
ejpam-5873	241	16	cor	cor	PROPN
ejpam-5873	241	17	=	=	NOUN
ejpam-5873	241	18	1	1	NUM
ejpam-5873	241	19	then	then	ADV
ejpam-5873	241	20	errors	error	NOUN
ejpam-5873	241	21	are	be	AUX
ejpam-5873	241	22	corrected	correct	VERB
ejpam-5873	241	23	(	(	PUNCT
ejpam-5873	241	24	x	x	SYM
ejpam-5873	241	25	′	′	NUM
ejpam-5873	241	26	=	=	SYM
ejpam-5873	241	27	x	x	X
ejpam-5873	241	28	)	)	PUNCT
ejpam-5873	241	29	.	.	PUNCT
ejpam-5873	242	1	execute	execute	VERB
ejpam-5873	242	2	the	the	DET
ejpam-5873	242	3	following	follow	VERB
ejpam-5873	242	4	steps	step	NOUN
ejpam-5873	242	5	.	.	PUNCT
ejpam-5873	243	1	s1	s1	NOUN
ejpam-5873	243	2	:	:	PUNCT
ejpam-5873	243	3	assessing	assess	VERB
ejpam-5873	243	4	the	the	DET
ejpam-5873	243	5	error	error	NOUN
ejpam-5873	243	6	correction	correction	NOUN
ejpam-5873	243	7	capability	capability	NOUN
ejpam-5873	243	8	.	.	PUNCT
ejpam-5873	244	1	compute	compute	PROPN
ejpam-5873	244	2	∆(x	∆(x	PROPN
ejpam-5873	244	3	,	,	PUNCT
ejpam-5873	244	4	y	y	PROPN
ejpam-5873	244	5	)	)	PUNCT
ejpam-5873	244	6	def	def	PROPN
ejpam-5873	244	7	=	=	SYM
ejpam-5873	244	8	|y	|y	NOUN
ejpam-5873	244	9	.−	.−	PUNCT
ejpam-5873	244	10	x|	x|	PROPN
ejpam-5873	245	1	−	−	PROPN
ejpam-5873	245	2	|x	|x	NOUN
ejpam-5873	245	3	.−	.−	PUNCT
ejpam-5873	246	1	y	y	PROPN
ejpam-5873	246	2	|	|	ADV
ejpam-5873	246	3	=	=	SYM
ejpam-5873	246	4	|y	|y	NOUN
ejpam-5873	246	5	|	|	ADV
ejpam-5873	246	6	−	−	PROPN
ejpam-5873	246	7	w.	w.	NOUN
ejpam-5873	246	8	(	(	PUNCT
ejpam-5873	246	9	16	16	NUM
ejpam-5873	246	10	)	)	PUNCT
ejpam-5873	246	11	s2	s2	NOUN
ejpam-5873	246	12	:	:	PUNCT
ejpam-5873	246	13	if	if	SCONJ
ejpam-5873	246	14	|∆(x	|∆(x	NUM
ejpam-5873	246	15	,	,	PUNCT
ejpam-5873	246	16	y	y	PROPN
ejpam-5873	246	17	)	)	PUNCT
ejpam-5873	246	18	|	|	ADV
ejpam-5873	246	19	≥	≥	X
ejpam-5873	246	20	l	l	NOUN
ejpam-5873	247	1	+	+	CCONJ
ejpam-5873	247	2	1	1	NUM
ejpam-5873	247	3	then	then	ADV
ejpam-5873	247	4	set	set	VERB
ejpam-5873	247	5	cor	cor	PROPN
ejpam-5873	247	6	=	=	SYM
ejpam-5873	247	7	0	0	PROPN
ejpam-5873	247	8	,	,	PUNCT
ejpam-5873	247	9	set	set	VERB
ejpam-5873	247	10	x	x	PUNCT
ejpam-5873	247	11	′	′	NOUN
ejpam-5873	247	12	to	to	PART
ejpam-5873	247	13	be	be	AUX
ejpam-5873	247	14	any	any	DET
ejpam-5873	247	15	word	word	NOUN
ejpam-5873	247	16	,	,	PUNCT
ejpam-5873	247	17	output	output	PROPN
ejpam-5873	247	18	cor	cor	PROPN
ejpam-5873	247	19	,	,	PUNCT
ejpam-5873	247	20	output	output	NOUN
ejpam-5873	247	21	x	x	SYM
ejpam-5873	247	22	′	′	NOUN
ejpam-5873	247	23	and	and	CCONJ
ejpam-5873	247	24	exit	exit	NOUN
ejpam-5873	247	25	.	.	PUNCT
ejpam-5873	248	1	s3	s3	PROPN
ejpam-5873	248	2	:	:	PUNCT
ejpam-5873	248	3	otherwise	otherwise	ADV
ejpam-5873	248	4	,	,	PUNCT
ejpam-5873	248	5	if	if	SCONJ
ejpam-5873	248	6	|∆(x	|∆(x	NUM
ejpam-5873	248	7	,	,	PUNCT
ejpam-5873	248	8	y	y	PROPN
ejpam-5873	248	9	)	)	PUNCT
ejpam-5873	248	10	|	|	ADV
ejpam-5873	248	11	≤	≤	NUM
ejpam-5873	248	12	l	l	NOUN
ejpam-5873	248	13	then	then	ADV
ejpam-5873	248	14	execute	execute	VERB
ejpam-5873	248	15	the	the	DET
ejpam-5873	248	16	following	follow	VERB
ejpam-5873	248	17	steps	step	NOUN
ejpam-5873	248	18	.	.	PUNCT
ejpam-5873	249	1	s3.1	s3.1	VERB
ejpam-5873	249	2	:	:	PUNCT
ejpam-5873	249	3	compute	compute	PROPN
ejpam-5873	249	4	ll	ll	AUX
ejpam-5873	249	5	def	def	VERB
ejpam-5873	249	6	=	=	SYM
ejpam-5873	249	7	⌊	⌊	PROPN
ejpam-5873	249	8	l	l	NOUN
ejpam-5873	249	9	−∆(x	−∆(x	PROPN
ejpam-5873	249	10	,	,	PUNCT
ejpam-5873	249	11	y	y	PROPN
ejpam-5873	249	12	)	)	PUNCT
ejpam-5873	249	13	2	2	NUM
ejpam-5873	249	14	⌋	⌋	NOUN
ejpam-5873	249	15	and	and	CCONJ
ejpam-5873	249	16	lr	lr	X
ejpam-5873	249	17	def	def	NOUN
ejpam-5873	249	18	=	=	SYM
ejpam-5873	249	19	⌊	⌊	NOUN
ejpam-5873	249	20	l	l	NOUN
ejpam-5873	250	1	+	+	NOUN
ejpam-5873	250	2	∆(x	∆(x	PROPN
ejpam-5873	250	3	,	,	PUNCT
ejpam-5873	250	4	y	y	PROPN
ejpam-5873	250	5	)	)	PUNCT
ejpam-5873	250	6	2	2	NUM
ejpam-5873	250	7	⌋	⌋	NOUN
ejpam-5873	250	8	.	.	PUNCT
ejpam-5873	251	1	(	(	PUNCT
ejpam-5873	251	2	17	17	NUM
ejpam-5873	251	3	)	)	PUNCT
ejpam-5873	251	4	note	note	VERB
ejpam-5873	251	5	that	that	SCONJ
ejpam-5873	251	6	0	0	NUM
ejpam-5873	251	7	≤	≤	NOUN
ejpam-5873	251	8	ll	ll	AUX
ejpam-5873	251	9	,	,	PUNCT
ejpam-5873	251	10	lr	lr	VERB
ejpam-5873	251	11	≤	≤	ADJ
ejpam-5873	251	12	l	l	NOUN
ejpam-5873	251	13	(	(	PUNCT
ejpam-5873	251	14	because	because	SCONJ
ejpam-5873	251	15	|∆(x	|∆(x	PROPN
ejpam-5873	251	16	,	,	PUNCT
ejpam-5873	251	17	y	y	PROPN
ejpam-5873	251	18	)	)	PUNCT
ejpam-5873	251	19	|	|	ADV
ejpam-5873	251	20	≤	≤	NUM
ejpam-5873	251	21	l	l	NOUN
ejpam-5873	251	22	)	)	PUNCT
ejpam-5873	251	23	and	and	CCONJ
ejpam-5873	251	24	ll	ll	AUX
ejpam-5873	252	1	+	+	CCONJ
ejpam-5873	252	2	lr	lr	X
ejpam-5873	252	3	≤	≤	NUM
ejpam-5873	252	4	ll	ll	AUX
ejpam-5873	252	5	−∆(x	−∆(x	PROPN
ejpam-5873	252	6	,	,	PUNCT
ejpam-5873	252	7	y	y	PROPN
ejpam-5873	252	8	)	)	PUNCT
ejpam-5873	252	9	2	2	NUM
ejpam-5873	253	1	+	+	CCONJ
ejpam-5873	253	2	lr	lr	X
ejpam-5873	253	3	+	+	PROPN
ejpam-5873	253	4	∆(x	∆(x	PROPN
ejpam-5873	253	5	,	,	PUNCT
ejpam-5873	253	6	y	y	PROPN
ejpam-5873	253	7	)	)	PUNCT
ejpam-5873	253	8	2	2	NUM
ejpam-5873	253	9	=	=	SYM
ejpam-5873	253	10	l.	l.	NOUN
ejpam-5873	253	11	(	(	PUNCT
ejpam-5873	253	12	18	18	NUM
ejpam-5873	253	13	)	)	PUNCT
ejpam-5873	253	14	n.	n.	NOUN
ejpam-5873	253	15	a.	a.	NOUN
ejpam-5873	253	16	alqwaifly	alqwaifly	PROPN
ejpam-5873	253	17	/	/	SYM
ejpam-5873	253	18	eur	eur	PROPN
ejpam-5873	253	19	.	.	PUNCT
ejpam-5873	254	1	j.	j.	PROPN
ejpam-5873	254	2	pure	pure	PROPN
ejpam-5873	254	3	appl	appl	PROPN
ejpam-5873	254	4	.	.	PROPN
ejpam-5873	254	5	math	math	PROPN
ejpam-5873	254	6	,	,	PUNCT
ejpam-5873	254	7	18	18	NUM
ejpam-5873	254	8	(	(	PUNCT
ejpam-5873	254	9	2	2	NUM
ejpam-5873	254	10	)	)	PUNCT
ejpam-5873	254	11	(	(	PUNCT
ejpam-5873	254	12	2025	2025	NUM
ejpam-5873	254	13	)	)	PUNCT
ejpam-5873	254	14	,	,	PUNCT
ejpam-5873	254	15	5873	5873	NUM
ejpam-5873	254	16	13	13	NUM
ejpam-5873	254	17	of	of	ADP
ejpam-5873	254	18	16	16	NUM
ejpam-5873	254	19	table	table	NOUN
ejpam-5873	254	20	5	5	NUM
ejpam-5873	254	21	:	:	PUNCT
ejpam-5873	254	22	the	the	DET
ejpam-5873	254	23	number	number	NOUN
ejpam-5873	254	24	of	of	ADP
ejpam-5873	254	25	codewords	codeword	NOUN
ejpam-5873	254	26	for	for	ADP
ejpam-5873	254	27	the	the	DET
ejpam-5873	254	28	proposed	propose	VERB
ejpam-5873	254	29	method	method	NOUN
ejpam-5873	254	30	for	for	ADP
ejpam-5873	254	31	codelength	codelength	NOUN
ejpam-5873	254	32	,	,	PUNCT
ejpam-5873	254	33	n	n	NOUN
ejpam-5873	254	34	=	=	SYM
ejpam-5873	254	35	1	1	NUM
ejpam-5873	254	36	,	,	PUNCT
ejpam-5873	254	37	.	.	PUNCT
ejpam-5873	254	38	.	.	PUNCT
ejpam-5873	255	1	.	.	PUNCT
ejpam-5873	256	1	,	,	PUNCT
ejpam-5873	256	2	20	20	NUM
ejpam-5873	256	3	and	and	CCONJ
ejpam-5873	256	4	peak	peak	NOUN
ejpam-5873	256	5	shifts	shift	NOUN
ejpam-5873	256	6	,	,	PUNCT
ejpam-5873	256	7	ll(lr	ll(lr	PROPN
ejpam-5873	256	8	)	)	PUNCT
ejpam-5873	256	9	=	=	SYM
ejpam-5873	256	10	1	1	NUM
ejpam-5873	256	11	,	,	PUNCT
ejpam-5873	256	12	.	.	PUNCT
ejpam-5873	256	13	.	.	PUNCT
ejpam-5873	257	1	.	.	PUNCT
ejpam-5873	258	1	,	,	PUNCT
ejpam-5873	258	2	8	8	NUM
ejpam-5873	258	3	where	where	SCONJ
ejpam-5873	258	4	ll	ll	AUX
ejpam-5873	258	5	and	and	CCONJ
ejpam-5873	258	6	lr	lr	PROPN
ejpam-5873	258	7	represent	represent	VERB
ejpam-5873	258	8	the	the	DET
ejpam-5873	258	9	left	left	ADJ
ejpam-5873	258	10	and	and	CCONJ
ejpam-5873	258	11	right	right	ADJ
ejpam-5873	258	12	shifts	shift	NOUN
ejpam-5873	258	13	,	,	PUNCT
ejpam-5873	258	14	respectively	respectively	ADV
ejpam-5873	258	15	.	.	PUNCT
ejpam-5873	259	1	n\l	n\l	SCONJ
ejpam-5873	259	2	1	1	NUM
ejpam-5873	259	3	2	2	NUM
ejpam-5873	259	4	3	3	NUM
ejpam-5873	259	5	4	4	NUM
ejpam-5873	259	6	5	5	NUM
ejpam-5873	259	7	6	6	NUM
ejpam-5873	259	8	7	7	NUM
ejpam-5873	259	9	8	8	NUM
ejpam-5873	259	10	1	1	NUM
ejpam-5873	259	11	2	2	NUM
ejpam-5873	259	12	2	2	NUM
ejpam-5873	259	13	2	2	NUM
ejpam-5873	259	14	2	2	NUM
ejpam-5873	259	15	2	2	NUM
ejpam-5873	259	16	2	2	NUM
ejpam-5873	259	17	2	2	NUM
ejpam-5873	259	18	2	2	NUM
ejpam-5873	259	19	2	2	NUM
ejpam-5873	259	20	3	3	NUM
ejpam-5873	259	21	3	3	NUM
ejpam-5873	259	22	3	3	NUM
ejpam-5873	259	23	3	3	NUM
ejpam-5873	259	24	3	3	NUM
ejpam-5873	259	25	3	3	NUM
ejpam-5873	259	26	3	3	NUM
ejpam-5873	259	27	3	3	NUM
ejpam-5873	259	28	3	3	NUM
ejpam-5873	259	29	5	5	NUM
ejpam-5873	259	30	4	4	NUM
ejpam-5873	259	31	4	4	NUM
ejpam-5873	259	32	4	4	NUM
ejpam-5873	259	33	4	4	NUM
ejpam-5873	259	34	4	4	NUM
ejpam-5873	259	35	4	4	NUM
ejpam-5873	259	36	4	4	NUM
ejpam-5873	259	37	4	4	NUM
ejpam-5873	259	38	7	7	NUM
ejpam-5873	259	39	6	6	NUM
ejpam-5873	259	40	5	5	NUM
ejpam-5873	259	41	5	5	NUM
ejpam-5873	259	42	5	5	NUM
ejpam-5873	259	43	5	5	NUM
ejpam-5873	259	44	5	5	NUM
ejpam-5873	259	45	5	5	NUM
ejpam-5873	259	46	5	5	NUM
ejpam-5873	259	47	13	13	NUM
ejpam-5873	259	48	8	8	NUM
ejpam-5873	259	49	7	7	NUM
ejpam-5873	259	50	6	6	NUM
ejpam-5873	259	51	6	6	NUM
ejpam-5873	259	52	6	6	NUM
ejpam-5873	259	53	6	6	NUM
ejpam-5873	259	54	6	6	NUM
ejpam-5873	259	55	6	6	NUM
ejpam-5873	259	56	19	19	NUM
ejpam-5873	259	57	10	10	NUM
ejpam-5873	259	58	8	8	NUM
ejpam-5873	259	59	8	8	NUM
ejpam-5873	259	60	7	7	NUM
ejpam-5873	259	61	7	7	NUM
ejpam-5873	259	62	7	7	NUM
ejpam-5873	259	63	7	7	NUM
ejpam-5873	259	64	7	7	NUM
ejpam-5873	259	65	33	33	NUM
ejpam-5873	259	66	15	15	NUM
ejpam-5873	259	67	9	9	NUM
ejpam-5873	259	68	9	9	NUM
ejpam-5873	259	69	9	9	NUM
ejpam-5873	259	70	8	8	NUM
ejpam-5873	259	71	8	8	NUM
ejpam-5873	259	72	8	8	NUM
ejpam-5873	259	73	8	8	NUM
ejpam-5873	259	74	57	57	NUM
ejpam-5873	259	75	20	20	NUM
ejpam-5873	259	76	11	11	NUM
ejpam-5873	259	77	10	10	NUM
ejpam-5873	259	78	10	10	NUM
ejpam-5873	259	79	10	10	NUM
ejpam-5873	259	80	9	9	NUM
ejpam-5873	259	81	9	9	NUM
ejpam-5873	259	82	9	9	NUM
ejpam-5873	259	83	103	103	NUM
ejpam-5873	259	84	28	28	NUM
ejpam-5873	259	85	15	15	NUM
ejpam-5873	259	86	11	11	NUM
ejpam-5873	259	87	11	11	NUM
ejpam-5873	259	88	11	11	NUM
ejpam-5873	259	89	11	11	NUM
ejpam-5873	259	90	10	10	NUM
ejpam-5873	259	91	10	10	NUM
ejpam-5873	259	92	181	181	NUM
ejpam-5873	259	93	43	43	NUM
ejpam-5873	259	94	16	16	NUM
ejpam-5873	259	95	12	12	NUM
ejpam-5873	259	96	12	12	NUM
ejpam-5873	259	97	12	12	NUM
ejpam-5873	259	98	12	12	NUM
ejpam-5873	259	99	12	12	NUM
ejpam-5873	259	100	11	11	NUM
ejpam-5873	259	101	334	334	NUM
ejpam-5873	259	102	69	69	NUM
ejpam-5873	259	103	22	22	NUM
ejpam-5873	259	104	14	14	NUM
ejpam-5873	259	105	13	13	NUM
ejpam-5873	259	106	13	13	NUM
ejpam-5873	259	107	13	13	NUM
ejpam-5873	259	108	13	13	NUM
ejpam-5873	259	109	12	12	NUM
ejpam-5873	259	110	611	611	NUM
ejpam-5873	259	111	108	108	NUM
ejpam-5873	259	112	28	28	NUM
ejpam-5873	259	113	15	15	NUM
ejpam-5873	259	114	14	14	NUM
ejpam-5873	259	115	14	14	NUM
ejpam-5873	259	116	14	14	NUM
ejpam-5873	259	117	14	14	NUM
ejpam-5873	259	118	13	13	NUM
ejpam-5873	259	119	1136	1136	NUM
ejpam-5873	259	120	180	180	NUM
ejpam-5873	259	121	40	40	NUM
ejpam-5873	259	122	18	18	NUM
ejpam-5873	259	123	16	16	NUM
ejpam-5873	259	124	15	15	NUM
ejpam-5873	259	125	15	15	NUM
ejpam-5873	259	126	15	15	NUM
ejpam-5873	259	127	14	14	NUM
ejpam-5873	259	128	2119	2119	NUM
ejpam-5873	259	129	308	308	NUM
ejpam-5873	259	130	58	58	NUM
ejpam-5873	259	131	21	21	NUM
ejpam-5873	259	132	17	17	NUM
ejpam-5873	259	133	16	16	NUM
ejpam-5873	259	134	16	16	NUM
ejpam-5873	259	135	16	16	NUM
ejpam-5873	259	136	15	15	NUM
ejpam-5873	259	137	3972	3972	NUM
ejpam-5873	259	138	530	530	NUM
ejpam-5873	259	139	86	86	NUM
ejpam-5873	259	140	26	26	NUM
ejpam-5873	259	141	18	18	NUM
ejpam-5873	259	142	18	18	NUM
ejpam-5873	259	143	17	17	NUM
ejpam-5873	259	144	17	17	NUM
ejpam-5873	259	145	16	16	NUM
ejpam-5873	259	146	7470	7470	NUM
ejpam-5873	259	147	926	926	NUM
ejpam-5873	259	148	135	135	NUM
ejpam-5873	259	149	32	32	NUM
ejpam-5873	259	150	19	19	NUM
ejpam-5873	259	151	19	19	NUM
ejpam-5873	259	152	18	18	NUM
ejpam-5873	259	153	18	18	NUM
ejpam-5873	259	154	17	17	NUM
ejpam-5873	259	155	14096	14096	NUM
ejpam-5873	259	156	1636	1636	NUM
ejpam-5873	259	157	219	219	NUM
ejpam-5873	259	158	43	43	NUM
ejpam-5873	259	159	20	20	NUM
ejpam-5873	259	160	20	20	NUM
ejpam-5873	259	161	20	20	NUM
ejpam-5873	259	162	19	19	NUM
ejpam-5873	259	163	18	18	NUM
ejpam-5873	259	164	26657	26657	NUM
ejpam-5873	259	165	2907	2907	NUM
ejpam-5873	259	166	326	326	NUM
ejpam-5873	259	167	59	59	NUM
ejpam-5873	259	168	22	22	NUM
ejpam-5873	259	169	21	21	NUM
ejpam-5873	259	170	21	21	NUM
ejpam-5873	259	171	20	20	NUM
ejpam-5873	259	172	19	19	NUM
ejpam-5873	259	173	50542	50542	NUM
ejpam-5873	259	174	5208	5208	NUM
ejpam-5873	259	175	591	591	NUM
ejpam-5873	259	176	87	87	NUM
ejpam-5873	259	177	27	27	NUM
ejpam-5873	259	178	22	22	NUM
ejpam-5873	259	179	22	22	NUM
ejpam-5873	259	180	22	22	NUM
ejpam-5873	259	181	20	20	NUM
ejpam-5873	259	182	96039	96039	NUM
ejpam-5873	259	183	9369	9369	NUM
ejpam-5873	259	184	995	995	NUM
ejpam-5873	259	185	129	129	NUM
ejpam-5873	259	186	34	34	NUM
ejpam-5873	259	187	23	23	NUM
ejpam-5873	259	188	23	23	NUM
ejpam-5873	259	189	23	23	NUM
ejpam-5873	259	190	s3.2	s3.2	NOUN
ejpam-5873	259	191	:	:	PUNCT
ejpam-5873	259	192	with	with	ADP
ejpam-5873	259	193	the	the	DET
ejpam-5873	259	194	word	word	NOUN
ejpam-5873	259	195	ŷ	ŷ	X
ejpam-5873	259	196	∈zn−1	∈zn−1	PROPN
ejpam-5873	259	197	m	m	PROPN
ejpam-5873	259	198	as	as	ADP
ejpam-5873	259	199	input	input	NOUN
ejpam-5873	259	200	,	,	PUNCT
ejpam-5873	259	201	execute	execute	VERB
ejpam-5873	259	202	the	the	DET
ejpam-5873	259	203	algorithm	algorithm	NOUN
ejpam-5873	259	204	dec(â	dec(â	NOUN
ejpam-5873	259	205	,	,	PUNCT
ejpam-5873	259	206	ll	ll	AUX
ejpam-5873	259	207	,	,	PUNCT
ejpam-5873	259	208	lr	lr	PROPN
ejpam-5873	259	209	)	)	PUNCT
ejpam-5873	259	210	for	for	ADP
ejpam-5873	259	211	â.	â.	ADV
ejpam-5873	259	212	let	let	NOUN
ejpam-5873	259	213	x̂	x̂	PROPN
ejpam-5873	259	214	′∈zn−1	′∈zn−1	PROPN
ejpam-5873	259	215	m	m	AUX
ejpam-5873	259	216	be	be	AUX
ejpam-5873	259	217	its	its	PRON
ejpam-5873	259	218	output	output	NOUN
ejpam-5873	259	219	word	word	NOUN
ejpam-5873	259	220	.	.	PUNCT
ejpam-5873	260	1	s3.3	s3.3	NOUN
ejpam-5873	260	2	:	:	PUNCT
ejpam-5873	260	3	set	set	VERB
ejpam-5873	260	4	x	x	X
ejpam-5873	260	5	′	′	NUM
ejpam-5873	260	6	=	=	PUNCT
ejpam-5873	260	7	x̂	x̂	NUM
ejpam-5873	261	1	′	′	NUM
ejpam-5873	261	2	x′n−1∈a	x′n−1∈a	VERB
ejpam-5873	262	1	if	if	SCONJ
ejpam-5873	262	2	x̂	x̂	NUM
ejpam-5873	262	3	′∈â	′∈â	NOUN
ejpam-5873	262	4	,	,	PUNCT
ejpam-5873	262	5	and	and	CCONJ
ejpam-5873	262	6	x	x	X
ejpam-5873	262	7	′	′	NUM
ejpam-5873	263	1	=	=	PUNCT
ejpam-5873	263	2	any	any	DET
ejpam-5873	263	3	word	word	NOUN
ejpam-5873	263	4	if	if	SCONJ
ejpam-5873	263	5	x̂	x̂	NUM
ejpam-5873	263	6	′	′	PROPN
ejpam-5873	264	1	̸∈	̸∈	PROPN
ejpam-5873	264	2	â	â	PROPN
ejpam-5873	264	3	;	;	PUNCT
ejpam-5873	264	4	where	where	SCONJ
ejpam-5873	264	5	x′n−1	x′n−1	PROPN
ejpam-5873	264	6	=	=	SYM
ejpam-5873	264	7	w	w	ADP
ejpam-5873	264	8	−	−	PROPN
ejpam-5873	264	9	wl1(x̂	wl1(x̂	NOUN
ejpam-5873	264	10	′	′	NUM
ejpam-5873	264	11	)	)	PUNCT
ejpam-5873	264	12	(	(	PUNCT
ejpam-5873	264	13	19	19	NUM
ejpam-5873	264	14	)	)	PUNCT
ejpam-5873	264	15	is	be	AUX
ejpam-5873	264	16	the	the	DET
ejpam-5873	264	17	parity	parity	NOUN
ejpam-5873	264	18	digit	digit	NOUN
ejpam-5873	264	19	of	of	ADP
ejpam-5873	264	20	x̂	x̂	PROPN
ejpam-5873	264	21	′.	′.	PROPN
ejpam-5873	264	22	s3.4	s3.4	NOUN
ejpam-5873	264	23	:	:	PUNCT
ejpam-5873	264	24	set	set	VERB
ejpam-5873	264	25	cor	cor	X
ejpam-5873	264	26	=	=	PUNCT
ejpam-5873	264	27	{	{	PUNCT
ejpam-5873	264	28	1	1	NUM
ejpam-5873	264	29	if	if	SCONJ
ejpam-5873	264	30	x	x	PRON
ejpam-5873	264	31	′∈a	′∈a	NOUN
ejpam-5873	264	32	and	and	CCONJ
ejpam-5873	264	33	dasl1	dasl1	NOUN
ejpam-5873	264	34	(	(	PUNCT
ejpam-5873	264	35	x	x	SYM
ejpam-5873	264	36	′	′	NUM
ejpam-5873	264	37	,	,	PUNCT
ejpam-5873	264	38	y	y	PROPN
ejpam-5873	264	39	)	)	PUNCT
ejpam-5873	264	40	≤	≤	NUM
ejpam-5873	264	41	l	l	NOUN
ejpam-5873	264	42	,	,	PUNCT
ejpam-5873	264	43	0	0	NUM
ejpam-5873	265	1	otherwise	otherwise	ADV
ejpam-5873	265	2	(	(	PUNCT
ejpam-5873	265	3	20	20	NUM
ejpam-5873	265	4	)	)	PUNCT
ejpam-5873	265	5	s3.5	s3.5	PROPN
ejpam-5873	265	6	:	:	PUNCT
ejpam-5873	265	7	output	output	NOUN
ejpam-5873	265	8	x	x	NOUN
ejpam-5873	265	9	′	′	NUM
ejpam-5873	265	10	,	,	PUNCT
ejpam-5873	265	11	output	output	NOUN
ejpam-5873	265	12	cor	cor	NOUN
ejpam-5873	265	13	and	and	CCONJ
ejpam-5873	265	14	exit	exit	NOUN
ejpam-5873	265	15	.	.	PUNCT
ejpam-5873	266	1	4	4	X
ejpam-5873	266	2	.	.	X
ejpam-5873	266	3	conclusions	conclusion	NOUN
ejpam-5873	266	4	even	even	ADV
ejpam-5873	266	5	though	though	SCONJ
ejpam-5873	266	6	the	the	DET
ejpam-5873	266	7	proposed	propose	VERB
ejpam-5873	266	8	code	code	NOUN
ejpam-5873	266	9	solves	solve	VERB
ejpam-5873	266	10	only	only	ADV
ejpam-5873	266	11	the	the	DET
ejpam-5873	266	12	one	one	NUM
ejpam-5873	266	13	-	-	PUNCT
ejpam-5873	266	14	direction	direction	NOUN
ejpam-5873	266	15	shift	shift	NOUN
ejpam-5873	266	16	,	,	PUNCT
ejpam-5873	266	17	it	it	PRON
ejpam-5873	266	18	provides	provide	VERB
ejpam-5873	266	19	a	a	DET
ejpam-5873	266	20	new	new	ADJ
ejpam-5873	266	21	scheme	scheme	NOUN
ejpam-5873	266	22	in	in	ADP
ejpam-5873	266	23	designing	design	VERB
ejpam-5873	266	24	a	a	DET
ejpam-5873	266	25	peak	peak	NOUN
ejpam-5873	266	26	-	-	PUNCT
ejpam-5873	266	27	shift	shift	NOUN
ejpam-5873	266	28	code	code	NOUN
ejpam-5873	266	29	using	use	VERB
ejpam-5873	266	30	elementary	elementary	ADJ
ejpam-5873	266	31	symmetric	symmetric	ADJ
ejpam-5873	266	32	functions	function	NOUN
ejpam-5873	266	33	(	(	PUNCT
ejpam-5873	266	34	σ	σ	NOUN
ejpam-5873	266	35	-	-	PUNCT
ejpam-5873	266	36	codes	code	NOUN
ejpam-5873	266	37	)	)	PUNCT
ejpam-5873	266	38	.	.	PUNCT
ejpam-5873	267	1	based	base	VERB
ejpam-5873	267	2	on	on	ADP
ejpam-5873	267	3	the	the	DET
ejpam-5873	267	4	results	result	NOUN
ejpam-5873	267	5	developed	develop	VERB
ejpam-5873	267	6	in	in	ADP
ejpam-5873	267	7	this	this	DET
ejpam-5873	267	8	paper	paper	NOUN
ejpam-5873	267	9	and	and	CCONJ
ejpam-5873	267	10	[	[	X
ejpam-5873	267	11	12],[13	12],[13	NOUN
ejpam-5873	267	12	]	]	X
ejpam-5873	267	13	,	,	PUNCT
ejpam-5873	267	14	[	[	X
ejpam-5873	267	15	6	6	NUM
ejpam-5873	267	16	,	,	PUNCT
ejpam-5873	267	17	10	10	NUM
ejpam-5873	267	18	,	,	PUNCT
ejpam-5873	267	19	11	11	NUM
ejpam-5873	267	20	,	,	PUNCT
ejpam-5873	267	21	14–19	14–19	NUM
ejpam-5873	267	22	]	]	PUNCT
ejpam-5873	267	23	,	,	PUNCT
ejpam-5873	267	24	whenever	whenever	SCONJ
ejpam-5873	267	25	it	it	PRON
ejpam-5873	267	26	is	be	AUX
ejpam-5873	267	27	possible	possible	ADJ
ejpam-5873	267	28	to	to	PART
ejpam-5873	267	29	define	define	VERB
ejpam-5873	267	30	an	an	DET
ejpam-5873	267	31	isometry	isometry	NOUN
ejpam-5873	267	32	from	from	ADP
ejpam-5873	267	33	the	the	DET
ejpam-5873	267	34	metric	metric	ADJ
ejpam-5873	267	35	space	space	NOUN
ejpam-5873	267	36	which	which	PRON
ejpam-5873	267	37	characterizes	characterize	VERB
ejpam-5873	267	38	a	a	DET
ejpam-5873	267	39	given	give	VERB
ejpam-5873	267	40	coding	code	VERB
ejpam-5873	267	41	problem	problem	NOUN
ejpam-5873	267	42	to	to	ADP
ejpam-5873	267	43	the	the	DET
ejpam-5873	267	44	l1	l1	PROPN
ejpam-5873	267	45	metric	metric	NOUN
ejpam-5873	267	46	(	(	PUNCT
ejpam-5873	267	47	as	as	ADP
ejpam-5873	267	48	the	the	DET
ejpam-5873	267	49	mapping	mapping	NOUN
ejpam-5873	267	50	i	i	PRON
ejpam-5873	267	51	in	in	ADP
ejpam-5873	267	52	(	(	PUNCT
ejpam-5873	267	53	10	10	NUM
ejpam-5873	267	54	)	)	PUNCT
ejpam-5873	267	55	)	)	PUNCT
ejpam-5873	267	56	,	,	PUNCT
ejpam-5873	267	57	any	any	DET
ejpam-5873	267	58	information	information	NOUN
ejpam-5873	267	59	on	on	ADP
ejpam-5873	267	60	codes	code	NOUN
ejpam-5873	267	61	for	for	ADP
ejpam-5873	267	62	the	the	DET
ejpam-5873	267	63	l1	l1	PROPN
ejpam-5873	267	64	metric	metric	NOUN
ejpam-5873	267	65	is	be	AUX
ejpam-5873	267	66	reflected	reflect	VERB
ejpam-5873	267	67	in	in	ADP
ejpam-5873	267	68	the	the	DET
ejpam-5873	267	69	analogous	analogous	ADJ
ejpam-5873	267	70	information	information	NOUN
ejpam-5873	267	71	for	for	ADP
ejpam-5873	267	72	that	that	DET
ejpam-5873	267	73	coding	code	VERB
ejpam-5873	267	74	problem	problem	NOUN
ejpam-5873	267	75	.	.	PUNCT
ejpam-5873	268	1	n.	n.	PROPN
ejpam-5873	268	2	a.	a.	PROPN
ejpam-5873	268	3	alqwaifly	alqwaifly	PROPN
ejpam-5873	268	4	/	/	SYM
ejpam-5873	268	5	eur	eur	PROPN
ejpam-5873	268	6	.	.	PUNCT
ejpam-5873	269	1	j.	j.	PROPN
ejpam-5873	269	2	pure	pure	PROPN
ejpam-5873	269	3	appl	appl	PROPN
ejpam-5873	269	4	.	.	PROPN
ejpam-5873	269	5	math	math	PROPN
ejpam-5873	269	6	,	,	PUNCT
ejpam-5873	269	7	18	18	NUM
ejpam-5873	269	8	(	(	PUNCT
ejpam-5873	269	9	2	2	NUM
ejpam-5873	269	10	)	)	PUNCT
ejpam-5873	269	11	(	(	PUNCT
ejpam-5873	269	12	2025	2025	NUM
ejpam-5873	269	13	)	)	PUNCT
ejpam-5873	269	14	,	,	PUNCT
ejpam-5873	269	15	5873	5873	NUM
ejpam-5873	269	16	14	14	NUM
ejpam-5873	269	17	of	of	ADP
ejpam-5873	269	18	16	16	NUM
ejpam-5873	269	19	table	table	NOUN
ejpam-5873	269	20	6	6	NUM
ejpam-5873	269	21	:	:	PUNCT
ejpam-5873	269	22	the	the	DET
ejpam-5873	269	23	mapping	mapping	NOUN
ejpam-5873	269	24	i	i	PRON
ejpam-5873	269	25	acting	act	VERB
ejpam-5873	269	26	on	on	ADP
ejpam-5873	269	27	z7	z7	PROPN
ejpam-5873	269	28	2	2	NUM
ejpam-5873	269	29	and	and	CCONJ
ejpam-5873	269	30	the	the	DET
ejpam-5873	269	31	elementary	elementary	ADJ
ejpam-5873	269	32	symmetric	symmetric	ADJ
ejpam-5873	269	33	functions	function	NOUN
ejpam-5873	269	34	,	,	PUNCT
ejpam-5873	269	35	(	(	PUNCT
ejpam-5873	269	36	σ0σ1	σ0σ1	X
ejpam-5873	269	37	.	.	PUNCT
ejpam-5873	269	38	.	.	PUNCT
ejpam-5873	269	39	.	.	PUNCT
ejpam-5873	270	1	σ|f|−1	σ|f|−1	PROPN
ejpam-5873	270	2	)	)	PUNCT
ejpam-5873	270	3	,	,	PUNCT
ejpam-5873	270	4	associated	associate	VERB
ejpam-5873	270	5	with	with	ADP
ejpam-5873	270	6	i(x	i(x	PROPN
ejpam-5873	270	7	)	)	PUNCT
ejpam-5873	270	8	.	.	PUNCT
ejpam-5873	271	1	w(x	w(x	NOUN
ejpam-5873	271	2	)	)	PUNCT
ejpam-5873	271	3	x	x	SYM
ejpam-5873	271	4	i(x	i(x	PROPN
ejpam-5873	271	5	)	)	PUNCT
ejpam-5873	272	1	fw	fw	PROPN
ejpam-5873	272	2	σ0σ1	σ0σ1	PROPN
ejpam-5873	272	3	.	.	PUNCT
ejpam-5873	272	4	.	.	PUNCT
ejpam-5873	272	5	.	.	PUNCT
ejpam-5873	273	1	σ|f|−1	σ|f|−1	PROPN
ejpam-5873	273	2	w(x	w(x	NUM
ejpam-5873	273	3	)	)	PUNCT
ejpam-5873	273	4	x	x	SYM
ejpam-5873	273	5	i(x	i(x	NOUN
ejpam-5873	273	6	)	)	PUNCT
ejpam-5873	274	1	fw	fw	PROPN
ejpam-5873	274	2	σ0σ1	σ0σ1	PROPN
ejpam-5873	274	3	.	.	PUNCT
ejpam-5873	274	4	.	.	PUNCT
ejpam-5873	274	5	.	.	PUNCT
ejpam-5873	275	1	σ|f|−1	σ|f|−1	PROPN
ejpam-5873	275	2	0	0	NUM
ejpam-5873	275	3	0000000	0000000	NUM
ejpam-5873	275	4	−	−	NOUN
ejpam-5873	275	5	gf	gf	NOUN
ejpam-5873	275	6	(	(	PUNCT
ejpam-5873	275	7	2	2	NUM
ejpam-5873	275	8	)	)	PUNCT
ejpam-5873	275	9	10	10	NUM
ejpam-5873	275	10	7	7	NUM
ejpam-5873	275	11	1111111	1111111	NUM
ejpam-5873	275	12	0123456	0123456	NUM
ejpam-5873	275	13	gf	gf	X
ejpam-5873	275	14	(	(	PUNCT
ejpam-5873	275	15	23	23	NUM
ejpam-5873	275	16	)	)	PUNCT
ejpam-5873	275	17	10647400	10647400	NUM
ejpam-5873	275	18	0000001	0000001	NUM
ejpam-5873	275	19	6	6	NUM
ejpam-5873	275	20	10	10	NUM
ejpam-5873	275	21	1111110	1111110	NUM
ejpam-5873	275	22	012345	012345	NUM
ejpam-5873	275	23	1000031	1000031	NUM
ejpam-5873	275	24	0000010	0000010	NUM
ejpam-5873	275	25	5	5	NUM
ejpam-5873	275	26	11	11	NUM
ejpam-5873	275	27	1111101	1111101	NUM
ejpam-5873	275	28	012346	012346	NUM
ejpam-5873	275	29	1100034	1100034	NUM
ejpam-5873	275	30	0000100	0000100	NUM
ejpam-5873	275	31	4	4	NUM
ejpam-5873	275	32	10	10	NUM
ejpam-5873	275	33	1111011	1111011	NUM
ejpam-5873	275	34	012356	012356	NUM
ejpam-5873	275	35	1320033	1320033	NUM
ejpam-5873	275	36	1	1	NUM
ejpam-5873	275	37	0001000	0001000	NUM
ejpam-5873	275	38	3	3	NUM
ejpam-5873	275	39	gf	gf	X
ejpam-5873	275	40	(	(	PUNCT
ejpam-5873	275	41	2	2	NUM
ejpam-5873	275	42	)	)	PUNCT
ejpam-5873	275	43	11	11	NUM
ejpam-5873	275	44	6	6	NUM
ejpam-5873	275	45	1110111	1110111	NUM
ejpam-5873	275	46	012456	012456	NUM
ejpam-5873	275	47	gf	gf	X
ejpam-5873	275	48	(	(	PUNCT
ejpam-5873	275	49	7	7	NUM
ejpam-5873	275	50	)	)	PUNCT
ejpam-5873	275	51	1646035	1646035	NUM
ejpam-5873	275	52	0010000	0010000	NUM
ejpam-5873	275	53	2	2	NUM
ejpam-5873	275	54	10	10	NUM
ejpam-5873	275	55	1101111	1101111	NUM
ejpam-5873	275	56	013456	013456	NUM
ejpam-5873	275	57	1301333	1301333	NUM
ejpam-5873	275	58	0100000	0100000	NUM
ejpam-5873	275	59	1	1	NUM
ejpam-5873	275	60	11	11	NUM
ejpam-5873	275	61	1011111	1011111	NUM
ejpam-5873	275	62	023456	023456	NUM
ejpam-5873	275	63	1111144	1111144	NUM
ejpam-5873	275	64	1000000	1000000	NUM
ejpam-5873	275	65	0	0	NUM
ejpam-5873	275	66	10	10	NUM
ejpam-5873	275	67	0111111	0111111	NUM
ejpam-5873	275	68	123456	123456	NUM
ejpam-5873	275	69	1000030	1000030	NUM
ejpam-5873	275	70	0000011	0000011	NUM
ejpam-5873	275	71	56	56	NUM
ejpam-5873	275	72	111	111	NUM
ejpam-5873	275	73	1111100	1111100	NUM
ejpam-5873	275	74	01234	01234	NUM
ejpam-5873	275	75	1210030	1210030	NUM
ejpam-5873	275	76	0000101	0000101	NUM
ejpam-5873	275	77	46	46	NUM
ejpam-5873	275	78	120	120	NUM
ejpam-5873	275	79	1110101	1110101	NUM
ejpam-5873	275	80	01235	01235	NUM
ejpam-5873	275	81	1452036	1452036	NUM
ejpam-5873	275	82	0000110	0000110	NUM
ejpam-5873	275	83	45	45	NUM
ejpam-5873	275	84	112	112	NUM
ejpam-5873	275	85	1111001	1111001	NUM
ejpam-5873	275	86	01236	01236	NUM
ejpam-5873	275	87	1665435	1665435	NUM
ejpam-5873	275	88	0001001	0001001	NUM
ejpam-5873	275	89	36	36	NUM
ejpam-5873	275	90	100	100	NUM
ejpam-5873	275	91	1110110	1110110	NUM
ejpam-5873	275	92	01245	01245	NUM
ejpam-5873	275	93	1033631	1033631	NUM
ejpam-5873	275	94	0001010	0001010	NUM
ejpam-5873	275	95	35	35	NUM
ejpam-5873	275	96	121	121	NUM
ejpam-5873	275	97	1110101	1110101	NUM
ejpam-5873	275	98	01246	01246	NUM
ejpam-5873	275	99	1232510	1232510	NUM
ejpam-5873	275	100	0001100	0001100	NUM
ejpam-5873	275	101	34	34	NUM
ejpam-5873	275	102	110	110	NUM
ejpam-5873	275	103	1110011	1110011	NUM
ejpam-5873	275	104	01256	01256	NUM
ejpam-5873	275	105	1524423	1524423	NUM
ejpam-5873	275	106	0010001	0010001	NUM
ejpam-5873	275	107	26	26	NUM
ejpam-5873	275	108	111	111	NUM
ejpam-5873	275	109	1101110	1101110	NUM
ejpam-5873	275	110	01345	01345	NUM
ejpam-5873	275	111	1431466	1431466	NUM
ejpam-5873	275	112	0010010	0010010	NUM
ejpam-5873	275	113	25	25	NUM
ejpam-5873	275	114	101	101	NUM
ejpam-5873	275	115	1101101	1101101	NUM
ejpam-5873	275	116	01346	01346	NUM
ejpam-5873	275	117	1640604	1640604	NUM
ejpam-5873	275	118	0010100	0010100	NUM
ejpam-5873	275	119	24	24	NUM
ejpam-5873	275	120	122	122	NUM
ejpam-5873	275	121	1101011	1101011	NUM
ejpam-5873	275	122	01356	01356	NUM
ejpam-5873	275	123	1215644	1215644	NUM
ejpam-5873	275	124	0011000	0011000	NUM
ejpam-5873	275	125	23	23	NUM
ejpam-5873	275	126	111	111	NUM
ejpam-5873	275	127	1100111	1100111	NUM
ejpam-5873	275	128	01456	01456	NUM
ejpam-5873	275	129	1622506	1622506	NUM
ejpam-5873	275	130	2	2	NUM
ejpam-5873	275	131	0100001	0100001	NUM
ejpam-5873	275	132	16	16	NUM
ejpam-5873	275	133	gf	gf	NOUN
ejpam-5873	275	134	(	(	PUNCT
ejpam-5873	275	135	3	3	NUM
ejpam-5873	275	136	)	)	PUNCT
ejpam-5873	275	137	120	120	NUM
ejpam-5873	275	138	5	5	NUM
ejpam-5873	275	139	1011110	1011110	NUM
ejpam-5873	275	140	02345	02345	NUM
ejpam-5873	276	1	gf	gf	X
ejpam-5873	276	2	(	(	PUNCT
ejpam-5873	276	3	7	7	NUM
ejpam-5873	276	4	)	)	PUNCT
ejpam-5873	276	5	1222251	1222251	NUM
ejpam-5873	276	6	0100010	0100010	NUM
ejpam-5873	276	7	15	15	NUM
ejpam-5873	276	8	112	112	NUM
ejpam-5873	276	9	1011101	1011101	NUM
ejpam-5873	276	10	02346	02346	NUM
ejpam-5873	276	11	1466424	1466424	NUM
ejpam-5873	276	12	0100100	0100100	NUM
ejpam-5873	276	13	14	14	NUM
ejpam-5873	276	14	102	102	NUM
ejpam-5873	276	15	1011011	1011011	NUM
ejpam-5873	276	16	02356	02356	NUM
ejpam-5873	276	17	1043363	1043363	NUM
ejpam-5873	276	18	0101000	0101000	NUM
ejpam-5873	276	19	13	13	NUM
ejpam-5873	276	20	120	120	NUM
ejpam-5873	276	21	1010111	1010111	NUM
ejpam-5873	276	22	02456	02456	NUM
ejpam-5873	276	23	1445146	1445146	NUM
ejpam-5873	276	24	0110000	0110000	NUM
ejpam-5873	276	25	12	12	NUM
ejpam-5873	276	26	112	112	NUM
ejpam-5873	276	27	1001111	1001111	NUM
ejpam-5873	276	28	03456	03456	NUM
ejpam-5873	276	29	1234525	1234525	NUM
ejpam-5873	276	30	1000001	1000001	NUM
ejpam-5873	276	31	06	06	NUM
ejpam-5873	276	32	100	100	NUM
ejpam-5873	276	33	0111110	0111110	NUM
ejpam-5873	276	34	12345	12345	NUM
ejpam-5873	276	35	1100033	1100033	NUM
ejpam-5873	276	36	1000010	1000010	NUM
ejpam-5873	276	37	05	05	NUM
ejpam-5873	276	38	121	121	NUM
ejpam-5873	276	39	0111101	0111101	NUM
ejpam-5873	276	40	12346	12346	NUM
ejpam-5873	276	41	1320032	1320032	NUM
ejpam-5873	276	42	1000100	1000100	NUM
ejpam-5873	276	43	04	04	NUM
ejpam-5873	276	44	110	110	NUM
ejpam-5873	276	45	0111011	0111011	NUM
ejpam-5873	276	46	12356	12356	NUM
ejpam-5873	276	47	1646034	1646034	NUM
ejpam-5873	276	48	1001000	1001000	NUM
ejpam-5873	276	49	03	03	NUM
ejpam-5873	276	50	100	100	NUM
ejpam-5873	276	51	0110111	0110111	NUM
ejpam-5873	276	52	12456	12456	NUM
ejpam-5873	276	53	1301332	1301332	NUM
ejpam-5873	276	54	1010000	1010000	NUM
ejpam-5873	276	55	02	02	NUM
ejpam-5873	276	56	121	121	NUM
ejpam-5873	276	57	0101111	0101111	NUM
ejpam-5873	276	58	13456	13456	NUM
ejpam-5873	276	59	1111143	1111143	NUM
ejpam-5873	276	60	1100000	1100000	NUM
ejpam-5873	276	61	01	01	NUM
ejpam-5873	276	62	110	110	NUM
ejpam-5873	276	63	0011111	0011111	NUM
ejpam-5873	276	64	23456	23456	NUM
ejpam-5873	276	65	1000036	1000036	NUM
ejpam-5873	276	66	0000111	0000111	NUM
ejpam-5873	276	67	456	456	NUM
ejpam-5873	276	68	1012	1012	NUM
ejpam-5873	276	69	0001111	0001111	NUM
ejpam-5873	276	70	3456	3456	NUM
ejpam-5873	276	71	10023	10023	NUM
ejpam-5873	276	72	0001011	0001011	NUM
ejpam-5873	276	73	356	356	NUM
ejpam-5873	276	74	1120	1120	NUM
ejpam-5873	276	75	0010111	0010111	NUM
ejpam-5873	276	76	2456	2456	NUM
ejpam-5873	276	77	11131	11131	NUM
ejpam-5873	276	78	0001101	0001101	NUM
ejpam-5873	276	79	346	346	NUM
ejpam-5873	276	80	1300	1300	NUM
ejpam-5873	276	81	0011011	0011011	NUM
ejpam-5873	276	82	2356	2356	NUM
ejpam-5873	276	83	13220	13220	NUM
ejpam-5873	276	84	0001110	0001110	NUM
ejpam-5873	276	85	345	345	NUM
ejpam-5873	276	86	1222	1222	NUM
ejpam-5873	276	87	0011101	0011101	NUM
ejpam-5873	276	88	2346	2346	NUM
ejpam-5873	276	89	11021	11021	NUM
ejpam-5873	276	90	0010011	0010011	NUM
ejpam-5873	276	91	256	256	NUM
ejpam-5873	276	92	1200	1200	NUM
ejpam-5873	276	93	0011110	0011110	NUM
ejpam-5873	276	94	2345	2345	NUM
ejpam-5873	276	95	10024	10024	NUM
ejpam-5873	276	96	0100101	0100101	NUM
ejpam-5873	276	97	246	246	NUM
ejpam-5873	276	98	1000	1000	NUM
ejpam-5873	276	99	0100111	0100111	NUM
ejpam-5873	276	100	1456	1456	NUM
ejpam-5873	276	101	12312	12312	NUM
ejpam-5873	276	102	0100110	0100110	NUM
ejpam-5873	276	103	245	245	NUM
ejpam-5873	276	104	1313	1313	NUM
ejpam-5873	276	105	0101011	0101011	NUM
ejpam-5873	276	106	1356	1356	NUM
ejpam-5873	276	107	14133	14133	NUM
ejpam-5873	276	108	0011001	0011001	NUM
ejpam-5873	276	109	236	236	NUM
ejpam-5873	276	110	1200	1200	NUM
ejpam-5873	276	111	0101101	0101101	NUM
ejpam-5873	276	112	1346	1346	NUM
ejpam-5873	276	113	12240	12240	NUM
ejpam-5873	276	114	0011010	0011010	NUM
ejpam-5873	276	115	235	235	NUM
ejpam-5873	276	116	1131	1131	NUM
ejpam-5873	276	117	0101110	0101110	NUM
ejpam-5873	276	118	1345	1345	NUM
ejpam-5873	276	119	11132	11132	NUM
ejpam-5873	276	120	0011100	0011100	NUM
ejpam-5873	276	121	234	234	NUM
ejpam-5873	276	122	1032	1032	NUM
ejpam-5873	276	123	0110011	0110011	NUM
ejpam-5873	276	124	1256	1256	NUM
ejpam-5873	276	125	11341	11341	NUM
ejpam-5873	276	126	0100011	0100011	NUM
ejpam-5873	276	127	156	156	NUM
ejpam-5873	276	128	1333	1333	NUM
ejpam-5873	276	129	0110101	0110101	NUM
ejpam-5873	276	130	1246	1246	NUM
ejpam-5873	276	131	14043	14043	NUM
ejpam-5873	276	132	0100101	0100101	NUM
ejpam-5873	276	133	146	146	NUM
ejpam-5873	276	134	1111	1111	NUM
ejpam-5873	276	135	0110110	0110110	NUM
ejpam-5873	276	136	1245	1245	NUM
ejpam-5873	276	137	13221	13221	NUM
ejpam-5873	276	138	0100110	0100110	NUM
ejpam-5873	276	139	145	145	NUM
ejpam-5873	276	140	1010	1010	NUM
ejpam-5873	276	141	0111001	0111001	NUM
ejpam-5873	276	142	1236	1236	NUM
ejpam-5873	276	143	12124	12124	NUM
ejpam-5873	276	144	0101001	0101001	NUM
ejpam-5873	276	145	136	136	NUM
ejpam-5873	276	146	1333	1333	NUM
ejpam-5873	276	147	0111010	0111010	NUM
ejpam-5873	276	148	1235	1235	NUM
ejpam-5873	276	149	11022	11022	NUM
ejpam-5873	276	150	0101010	0101010	NUM
ejpam-5873	276	151	135	135	NUM
ejpam-5873	276	152	1212	1212	NUM
ejpam-5873	276	153	0111100	0111100	NUM
ejpam-5873	276	154	1234	1234	NUM
ejpam-5873	276	155	10020	10020	NUM
ejpam-5873	276	156	0101100	0101100	NUM
ejpam-5873	276	157	134	134	NUM
ejpam-5873	276	158	1102	1102	NUM
ejpam-5873	276	159	1000111	1000111	NUM
ejpam-5873	276	160	0456	0456	NUM
ejpam-5873	276	161	13124	13124	NUM
ejpam-5873	276	162	3	3	NUM
ejpam-5873	276	163	0110001	0110001	NUM
ejpam-5873	276	164	126	126	NUM
ejpam-5873	276	165	gf	gf	NOUN
ejpam-5873	276	166	(	(	PUNCT
ejpam-5873	276	167	22	22	NUM
ejpam-5873	276	168	)	)	PUNCT
ejpam-5873	276	169	1111	1111	NUM
ejpam-5873	276	170	4	4	NUM
ejpam-5873	276	171	1001011	1001011	NUM
ejpam-5873	276	172	0356	0356	NUM
ejpam-5873	276	173	gf	gf	X
ejpam-5873	276	174	(	(	PUNCT
ejpam-5873	276	175	5	5	NUM
ejpam-5873	276	176	)	)	PUNCT
ejpam-5873	276	177	10142	10142	NUM
ejpam-5873	276	178	0110010	0110010	NUM
ejpam-5873	276	179	125	125	NUM
ejpam-5873	276	180	1010	1010	NUM
ejpam-5873	276	181	1001101	1001101	NUM
ejpam-5873	276	182	0346	0346	NUM
ejpam-5873	276	183	13044	13044	NUM
ejpam-5873	276	184	0110100	0110100	NUM
ejpam-5873	276	185	124	124	NUM
ejpam-5873	276	186	1322	1322	NUM
ejpam-5873	276	187	1001110	1001110	NUM
ejpam-5873	276	188	0345	0345	NUM
ejpam-5873	276	189	12313	12313	NUM
ejpam-5873	276	190	0111000	0111000	NUM
ejpam-5873	276	191	123	123	NUM
ejpam-5873	276	192	1202	1202	NUM
ejpam-5873	276	193	1010011	1010011	NUM
ejpam-5873	276	194	0256	0256	NUM
ejpam-5873	276	195	12040	12040	NUM
ejpam-5873	276	196	1000011	1000011	NUM
ejpam-5873	276	197	056	056	NUM
ejpam-5873	276	198	1032	1032	NUM
ejpam-5873	276	199	1010101	1010101	NUM
ejpam-5873	276	200	0246	0246	NUM
ejpam-5873	276	201	10042	10042	NUM
ejpam-5873	276	202	1000101	1000101	NUM
ejpam-5873	276	203	046	046	NUM
ejpam-5873	276	204	1230	1230	NUM
ejpam-5873	276	205	1010110	1010110	NUM
ejpam-5873	276	206	0245	0245	NUM
ejpam-5873	276	207	14134	14134	NUM
ejpam-5873	276	208	1000110	1000110	NUM
ejpam-5873	276	209	045	045	NUM
ejpam-5873	276	210	1122	1122	NUM
ejpam-5873	276	211	1011001	1011001	NUM
ejpam-5873	276	212	0236	0236	NUM
ejpam-5873	276	213	13410	13410	NUM
ejpam-5873	276	214	1001001	1001001	NUM
ejpam-5873	276	215	036	036	NUM
ejpam-5873	276	216	1032	1032	NUM
ejpam-5873	276	217	1011010	1011010	NUM
ejpam-5873	276	218	0235	0235	NUM
ejpam-5873	276	219	12241	12241	NUM
ejpam-5873	276	220	1001010	1001010	NUM
ejpam-5873	276	221	035	035	NUM
ejpam-5873	276	222	1302	1302	NUM
ejpam-5873	276	223	1011100	1011100	NUM
ejpam-5873	276	224	0234	0234	NUM
ejpam-5873	276	225	11133	11133	NUM
ejpam-5873	276	226	1001100	1001100	NUM
ejpam-5873	276	227	034	034	NUM
ejpam-5873	276	228	1220	1220	NUM
ejpam-5873	276	229	1100011	1100011	NUM
ejpam-5873	276	230	0156	0156	NUM
ejpam-5873	276	231	14300	14300	NUM
ejpam-5873	276	232	1010001	1010001	NUM
ejpam-5873	276	233	026	026	NUM
ejpam-5873	276	234	1230	1230	NUM
ejpam-5873	276	235	1100101	1100101	NUM
ejpam-5873	276	236	0146	0146	NUM
ejpam-5873	276	237	12421	12421	NUM
ejpam-5873	276	238	1010010	1010010	NUM
ejpam-5873	276	239	025	025	NUM
ejpam-5873	276	240	1122	1122	NUM
ejpam-5873	276	241	1100110	1100110	NUM
ejpam-5873	276	242	0145	0145	NUM
ejpam-5873	276	243	11342	11342	NUM
ejpam-5873	276	244	1010100	1010100	NUM
ejpam-5873	276	245	024	024	NUM
ejpam-5873	276	246	1020	1020	NUM
ejpam-5873	276	247	1101001	1101001	NUM
ejpam-5873	276	248	0136	0136	NUM
ejpam-5873	276	249	10443	10443	NUM
ejpam-5873	276	250	1011000	1011000	NUM
ejpam-5873	276	251	023	023	NUM
ejpam-5873	276	252	1331	1331	NUM
ejpam-5873	276	253	1101010	1101010	NUM
ejpam-5873	276	254	0135	0135	NUM
ejpam-5873	276	255	14044	14044	NUM
ejpam-5873	276	256	1100001	1100001	NUM
ejpam-5873	276	257	016	016	NUM
ejpam-5873	276	258	1032	1032	NUM
ejpam-5873	276	259	1101100	1101100	NUM
ejpam-5873	276	260	0134	0134	NUM
ejpam-5873	276	261	13222	13222	NUM
ejpam-5873	276	262	1100010	1100010	NUM
ejpam-5873	276	263	015	015	NUM
ejpam-5873	276	264	1302	1302	NUM
ejpam-5873	276	265	1110001	1110001	NUM
ejpam-5873	276	266	0126	0126	NUM
ejpam-5873	276	267	13332	13332	NUM
ejpam-5873	276	268	1100100	1100100	NUM
ejpam-5873	276	269	014	014	NUM
ejpam-5873	276	270	1220	1220	NUM
ejpam-5873	276	271	1110010	1110010	NUM
ejpam-5873	276	272	0125	0125	NUM
ejpam-5873	276	273	12120	12120	NUM
ejpam-5873	276	274	1101000	1101000	NUM
ejpam-5873	276	275	013	013	NUM
ejpam-5873	276	276	1113	1113	NUM
ejpam-5873	276	277	1110100	1110100	NUM
ejpam-5873	276	278	0124	0124	NUM
ejpam-5873	276	279	11023	11023	NUM
ejpam-5873	276	280	1110000	1110000	NUM
ejpam-5873	276	281	012	012	NUM
ejpam-5873	276	282	1012	1012	NUM
ejpam-5873	276	283	1111000	1111000	NUM
ejpam-5873	276	284	0123	0123	NUM
ejpam-5873	276	285	10021	10021	NUM
ejpam-5873	276	286	n.	n.	NOUN
ejpam-5873	276	287	a.	a.	NOUN
ejpam-5873	276	288	alqwaifly	alqwaifly	PROPN
ejpam-5873	276	289	/	/	SYM
ejpam-5873	276	290	eur	eur	PROPN
ejpam-5873	276	291	.	.	PUNCT
ejpam-5873	277	1	j.	j.	PROPN
ejpam-5873	277	2	pure	pure	PROPN
ejpam-5873	277	3	appl	appl	PROPN
ejpam-5873	277	4	.	.	PROPN
ejpam-5873	277	5	math	math	PROPN
ejpam-5873	277	6	,	,	PUNCT
ejpam-5873	277	7	18	18	NUM
ejpam-5873	277	8	(	(	PUNCT
ejpam-5873	277	9	2	2	NUM
ejpam-5873	277	10	)	)	PUNCT
ejpam-5873	277	11	(	(	PUNCT
ejpam-5873	277	12	2025	2025	NUM
ejpam-5873	277	13	)	)	PUNCT
ejpam-5873	277	14	,	,	PUNCT
ejpam-5873	277	15	5873	5873	NUM
ejpam-5873	277	16	15	15	NUM
ejpam-5873	277	17	of	of	ADP
ejpam-5873	277	18	16	16	NUM
ejpam-5873	277	19	in	in	ADP
ejpam-5873	277	20	addition	addition	NOUN
ejpam-5873	277	21	,	,	PUNCT
ejpam-5873	277	22	lower	low	ADJ
ejpam-5873	277	23	bounds	bound	NOUN
ejpam-5873	277	24	,	,	PUNCT
ejpam-5873	277	25	upper	upper	ADJ
ejpam-5873	277	26	bounds	bound	NOUN
ejpam-5873	277	27	,	,	PUNCT
ejpam-5873	277	28	code	code	NOUN
ejpam-5873	277	29	designs	design	NOUN
ejpam-5873	277	30	,	,	PUNCT
ejpam-5873	277	31	and	and	CCONJ
ejpam-5873	277	32	decoding	decode	VERB
ejpam-5873	277	33	algorithms	algorithm	NOUN
ejpam-5873	277	34	can	can	AUX
ejpam-5873	277	35	be	be	AUX
ejpam-5873	277	36	given	give	VERB
ejpam-5873	277	37	for	for	ADP
ejpam-5873	277	38	l	l	NOUN
ejpam-5873	277	39	-	-	PUNCT
ejpam-5873	277	40	sy0ec	sy0ec	ADJ
ejpam-5873	277	41	codes	code	NOUN
ejpam-5873	277	42	which	which	PRON
ejpam-5873	277	43	satisfy	satisfy	VERB
ejpam-5873	277	44	the	the	DET
ejpam-5873	277	45	rll(d	rll(d	PROPN
ejpam-5873	277	46	,	,	PUNCT
ejpam-5873	277	47	k	k	NOUN
ejpam-5873	277	48	)	)	PUNCT
ejpam-5873	277	49	constraint	constraint	NOUN
ejpam-5873	277	50	[	[	X
ejpam-5873	277	51	4	4	NUM
ejpam-5873	277	52	,	,	PUNCT
ejpam-5873	277	53	20	20	NUM
ejpam-5873	277	54	]	]	PUNCT
ejpam-5873	277	55	using	use	VERB
ejpam-5873	277	56	the	the	DET
ejpam-5873	277	57	results	result	NOUN
ejpam-5873	277	58	in	in	ADP
ejpam-5873	277	59	this	this	DET
ejpam-5873	277	60	work	work	NOUN
ejpam-5873	277	61	,	,	PUNCT
ejpam-5873	277	62	[	[	X
ejpam-5873	277	63	6	6	NUM
ejpam-5873	277	64	]	]	PUNCT
ejpam-5873	277	65	and	and	CCONJ
ejpam-5873	277	66	l1	l1	PROPN
ejpam-5873	277	67	error	error	NOUN
ejpam-5873	277	68	control	control	NOUN
ejpam-5873	277	69	codes	code	NOUN
ejpam-5873	277	70	over	over	ADP
ejpam-5873	277	71	zq	zq	PROPN
ejpam-5873	277	72	,	,	PUNCT
ejpam-5873	277	73	with	with	ADP
ejpam-5873	277	74	q∈n	q∈n	PROPN
ejpam-5873	277	75	∪	∪	X
ejpam-5873	277	76	{	{	PUNCT
ejpam-5873	277	77	∞	∞	NOUN
ejpam-5873	277	78	}	}	PUNCT
ejpam-5873	277	79	.	.	PUNCT
ejpam-5873	278	1	it	it	PRON
ejpam-5873	278	2	is	be	AUX
ejpam-5873	278	3	because	because	SCONJ
ejpam-5873	278	4	the	the	DET
ejpam-5873	278	5	set	set	NOUN
ejpam-5873	278	6	of	of	ADP
ejpam-5873	278	7	all	all	DET
ejpam-5873	278	8	rll(d	rll(d	PROPN
ejpam-5873	278	9	,	,	PUNCT
ejpam-5873	278	10	k	k	NOUN
ejpam-5873	278	11	)	)	PUNCT
ejpam-5873	278	12	binary	binary	ADJ
ejpam-5873	278	13	words	word	NOUN
ejpam-5873	278	14	of	of	ADP
ejpam-5873	278	15	length	length	NOUN
ejpam-5873	278	16	n	n	PROPN
ejpam-5873	278	17	and	and	CCONJ
ejpam-5873	278	18	weight	weight	NOUN
ejpam-5873	278	19	w	w	NOUN
ejpam-5873	278	20	with	with	ADP
ejpam-5873	278	21	the	the	DET
ejpam-5873	278	22	d0	d0	NOUN
ejpam-5873	278	23	-	-	PUNCT
ejpam-5873	278	24	d	d	NOUN
ejpam-5873	278	25	/	/	SYM
ejpam-5873	279	1	i	i	PRON
ejpam-5873	279	2	metric	metric	ADJ
ejpam-5873	279	3	can	can	AUX
ejpam-5873	279	4	be	be	AUX
ejpam-5873	279	5	put	put	VERB
ejpam-5873	279	6	in	in	ADP
ejpam-5873	279	7	bijection	bijection	NOUN
ejpam-5873	279	8	with	with	ADP
ejpam-5873	279	9	(	(	PUNCT
ejpam-5873	279	10	zw+1	zw+1	NUM
ejpam-5873	279	11	k−d+1	k−d+1	NOUN
ejpam-5873	279	12	,	,	PUNCT
ejpam-5873	279	13	d	d	PROPN
ejpam-5873	279	14	sy	sy	PROPN
ejpam-5873	279	15	l1	l1	PROPN
ejpam-5873	279	16	)	)	PUNCT
ejpam-5873	279	17	through	through	ADP
ejpam-5873	279	18	the	the	DET
ejpam-5873	279	19	following	follow	VERB
ejpam-5873	279	20	isometry	isometry	PROPN
ejpam-5873	279	21	0v110v21	0v110v21	PROPN
ejpam-5873	279	22	.	.	PUNCT
ejpam-5873	279	23	.	.	PUNCT
ejpam-5873	279	24	.	.	PUNCT
ejpam-5873	280	1	0vw10vw+1	0vw10vw+1	NUM
ejpam-5873	281	1	↔	↔	NOUN
ejpam-5873	281	2	(	(	PUNCT
ejpam-5873	281	3	v1	v1	NOUN
ejpam-5873	281	4	−	−	PROPN
ejpam-5873	281	5	d	d	PROPN
ejpam-5873	281	6	,	,	PUNCT
ejpam-5873	281	7	v2	v2	PROPN
ejpam-5873	281	8	−	−	NOUN
ejpam-5873	281	9	d	d	NOUN
ejpam-5873	281	10	,	,	PUNCT
ejpam-5873	281	11	.	.	PUNCT
ejpam-5873	281	12	.	.	PUNCT
ejpam-5873	281	13	.	.	PUNCT
ejpam-5873	282	1	,	,	PUNCT
ejpam-5873	282	2	vw	vw	PROPN
ejpam-5873	283	1	−	−	PROPN
ejpam-5873	284	1	d	d	NOUN
ejpam-5873	284	2	)	)	PUNCT
ejpam-5873	284	3	.	.	PUNCT
ejpam-5873	285	1	for	for	ADP
ejpam-5873	285	2	future	future	ADJ
ejpam-5873	285	3	direction	direction	NOUN
ejpam-5873	285	4	,	,	PUNCT
ejpam-5873	285	5	the	the	DET
ejpam-5873	285	6	results	result	NOUN
ejpam-5873	285	7	of	of	ADP
ejpam-5873	285	8	this	this	DET
ejpam-5873	285	9	work	work	NOUN
ejpam-5873	285	10	can	can	AUX
ejpam-5873	285	11	be	be	AUX
ejpam-5873	285	12	extended	extend	VERB
ejpam-5873	285	13	to	to	PART
ejpam-5873	285	14	include	include	VERB
ejpam-5873	285	15	multi	multi	ADJ
ejpam-5873	285	16	-	-	ADJ
ejpam-5873	285	17	error	error	NOUN
ejpam-5873	285	18	correction	correction	NOUN
ejpam-5873	285	19	.	.	PUNCT
ejpam-5873	286	1	in	in	ADP
ejpam-5873	286	2	addition	addition	NOUN
ejpam-5873	286	3	,	,	PUNCT
ejpam-5873	286	4	this	this	DET
ejpam-5873	286	5	method	method	NOUN
ejpam-5873	286	6	can	can	AUX
ejpam-5873	286	7	be	be	AUX
ejpam-5873	286	8	applied	apply	VERB
ejpam-5873	286	9	to	to	ADP
ejpam-5873	286	10	the	the	DET
ejpam-5873	286	11	(	(	PUNCT
ejpam-5873	286	12	d	d	PROPN
ejpam-5873	286	13	,	,	PUNCT
ejpam-5873	286	14	k	k	NOUN
ejpam-5873	286	15	)	)	PUNCT
ejpam-5873	286	16	sequences	sequence	NOUN
ejpam-5873	286	17	and	and	CCONJ
ejpam-5873	286	18	practical	practical	ADJ
ejpam-5873	286	19	storage	storage	NOUN
ejpam-5873	286	20	systems	system	NOUN
ejpam-5873	286	21	.	.	PUNCT
ejpam-5873	287	1	acknowledgements	acknowledgement	NOUN
ejpam-5873	287	2	the	the	DET
ejpam-5873	287	3	researcher	researcher	NOUN
ejpam-5873	287	4	would	would	AUX
ejpam-5873	287	5	like	like	VERB
ejpam-5873	287	6	to	to	PART
ejpam-5873	287	7	thank	thank	VERB
ejpam-5873	287	8	the	the	DET
ejpam-5873	287	9	deanship	deanship	NOUN
ejpam-5873	287	10	of	of	ADP
ejpam-5873	287	11	graduate	graduate	NOUN
ejpam-5873	287	12	studies	study	NOUN
ejpam-5873	287	13	and	and	CCONJ
ejpam-5873	287	14	scientific	scientific	ADJ
ejpam-5873	287	15	research	research	NOUN
ejpam-5873	287	16	at	at	ADP
ejpam-5873	287	17	qassim	qassim	PROPN
ejpam-5873	287	18	university	university	PROPN
ejpam-5873	287	19	for	for	ADP
ejpam-5873	287	20	financial	financial	ADJ
ejpam-5873	287	21	support	support	NOUN
ejpam-5873	287	22	(	(	PUNCT
ejpam-5873	287	23	qu	qu	NOUN
ejpam-5873	287	24	-	-	NOUN
ejpam-5873	287	25	apc-2025	apc-2025	NOUN
ejpam-5873	287	26	)	)	PUNCT
ejpam-5873	287	27	.	.	PUNCT
ejpam-5873	288	1	references	reference	NOUN
ejpam-5873	288	2	[	[	X
ejpam-5873	288	3	1	1	NUM
ejpam-5873	288	4	]	]	X
ejpam-5873	288	5	t.d	t.d	PROPN
ejpam-5873	288	6	.	.	PUNCT
ejpam-5873	288	7	howell	howell	PROPN
ejpam-5873	288	8	.	.	PUNCT
ejpam-5873	289	1	analysis	analysis	NOUN
ejpam-5873	289	2	of	of	ADP
ejpam-5873	289	3	correctable	correctable	ADJ
ejpam-5873	289	4	errors	error	NOUN
ejpam-5873	289	5	in	in	ADP
ejpam-5873	289	6	the	the	DET
ejpam-5873	289	7	ibm	ibm	PROPN
ejpam-5873	289	8	3380	3380	NUM
ejpam-5873	289	9	disk	disk	NOUN
ejpam-5873	289	10	file	file	NOUN
ejpam-5873	289	11	.	.	PUNCT
ejpam-5873	290	1	ibm	ibm	PROPN
ejpam-5873	290	2	journal	journal	PROPN
ejpam-5873	290	3	of	of	ADP
ejpam-5873	290	4	research	research	NOUN
ejpam-5873	290	5	and	and	CCONJ
ejpam-5873	290	6	development	development	NOUN
ejpam-5873	290	7	,	,	PUNCT
ejpam-5873	290	8	28(2):206–211	28(2):206–211	NUM
ejpam-5873	290	9	,	,	PUNCT
ejpam-5873	290	10	1984	1984	NUM
ejpam-5873	290	11	.	.	PUNCT
ejpam-5873	291	1	[	[	X
ejpam-5873	291	2	2	2	NUM
ejpam-5873	291	3	]	]	PUNCT
ejpam-5873	291	4	p.	p.	NOUN
ejpam-5873	291	5	siegel	siegel	PROPN
ejpam-5873	291	6	.	.	PUNCT
ejpam-5873	292	1	recording	recording	NOUN
ejpam-5873	292	2	codes	code	NOUN
ejpam-5873	292	3	for	for	ADP
ejpam-5873	292	4	digital	digital	ADJ
ejpam-5873	292	5	magnetic	magnetic	ADJ
ejpam-5873	292	6	storage	storage	NOUN
ejpam-5873	292	7	.	.	PUNCT
ejpam-5873	293	1	ieee	ieee	NOUN
ejpam-5873	293	2	transactions	transaction	NOUN
ejpam-5873	293	3	on	on	ADP
ejpam-5873	293	4	magnetics	magnetic	NOUN
ejpam-5873	293	5	,	,	PUNCT
ejpam-5873	293	6	21(5):1344–1349	21(5):1344–1349	ADP
ejpam-5873	293	7	,	,	PUNCT
ejpam-5873	293	8	1985	1985	NUM
ejpam-5873	293	9	.	.	PUNCT
ejpam-5873	294	1	[	[	X
ejpam-5873	294	2	3	3	X
ejpam-5873	294	3	]	]	X
ejpam-5873	294	4	a.v	a.v	PROPN
ejpam-5873	294	5	.	.	PROPN
ejpam-5873	294	6	kuznetsov	kuznetsov	PROPN
ejpam-5873	294	7	and	and	CCONJ
ejpam-5873	294	8	a.j.h	a.j.h	ADJ
ejpam-5873	294	9	.	.	PUNCT
ejpam-5873	295	1	vinck	vinck	PROPN
ejpam-5873	295	2	.	.	PUNCT
ejpam-5873	296	1	a	a	DET
ejpam-5873	296	2	coding	code	VERB
ejpam-5873	296	3	scheme	scheme	NOUN
ejpam-5873	296	4	for	for	ADP
ejpam-5873	296	5	single	single	ADJ
ejpam-5873	296	6	peak	peak	NOUN
ejpam-5873	296	7	-	-	PUNCT
ejpam-5873	296	8	shift	shift	NOUN
ejpam-5873	296	9	correction	correction	NOUN
ejpam-5873	296	10	in	in	ADP
ejpam-5873	296	11	(	(	PUNCT
ejpam-5873	296	12	d	d	NOUN
ejpam-5873	296	13	,	,	PUNCT
ejpam-5873	296	14	k)-constrained	k)-constrained	ADJ
ejpam-5873	296	15	channels	channel	NOUN
ejpam-5873	296	16	.	.	PUNCT
ejpam-5873	297	1	ieee	ieee	NOUN
ejpam-5873	297	2	transactions	transaction	NOUN
ejpam-5873	297	3	on	on	ADP
ejpam-5873	297	4	information	information	NOUN
ejpam-5873	297	5	theory	theory	NOUN
ejpam-5873	297	6	,	,	PUNCT
ejpam-5873	297	7	39(4):1444	39(4):1444	NUM
ejpam-5873	297	8	–	–	PUNCT
ejpam-5873	297	9	1450	1450	NUM
ejpam-5873	297	10	,	,	PUNCT
ejpam-5873	297	11	1993	1993	NUM
ejpam-5873	297	12	.	.	PUNCT
ejpam-5873	298	1	[	[	X
ejpam-5873	298	2	4	4	NUM
ejpam-5873	298	3	]	]	X
ejpam-5873	298	4	v.i	v.i	PROPN
ejpam-5873	298	5	.	.	PROPN
ejpam-5873	298	6	levenshtein	levenshtein	PROPN
ejpam-5873	298	7	and	and	CCONJ
ejpam-5873	298	8	a.j.h	a.j.h	ADJ
ejpam-5873	298	9	.	.	PUNCT
ejpam-5873	299	1	vinck	vinck	PROPN
ejpam-5873	299	2	.	.	PUNCT
ejpam-5873	300	1	perfect	perfect	ADJ
ejpam-5873	300	2	(	(	PUNCT
ejpam-5873	300	3	d	d	NOUN
ejpam-5873	300	4	,	,	PUNCT
ejpam-5873	300	5	k)-codes	k)-code	NOUN
ejpam-5873	300	6	capable	capable	ADJ
ejpam-5873	300	7	of	of	ADP
ejpam-5873	300	8	correcting	correct	VERB
ejpam-5873	300	9	single	single	ADJ
ejpam-5873	300	10	peak	peak	NOUN
ejpam-5873	300	11	-	-	PUNCT
ejpam-5873	300	12	shifts	shift	NOUN
ejpam-5873	300	13	.	.	PUNCT
ejpam-5873	301	1	ieee	ieee	NOUN
ejpam-5873	301	2	transactions	transaction	NOUN
ejpam-5873	301	3	on	on	ADP
ejpam-5873	301	4	information	information	NOUN
ejpam-5873	301	5	theory	theory	NOUN
ejpam-5873	301	6	,	,	PUNCT
ejpam-5873	301	7	39(2):656–662	39(2):656–662	PROPN
ejpam-5873	301	8	,	,	PUNCT
ejpam-5873	301	9	1993	1993	NUM
ejpam-5873	301	10	.	.	PUNCT
ejpam-5873	302	1	[	[	X
ejpam-5873	302	2	5	5	X
ejpam-5873	302	3	]	]	PUNCT
ejpam-5873	302	4	t.	t.	PROPN
ejpam-5873	302	5	klove	klove	PROPN
ejpam-5873	302	6	.	.	PUNCT
ejpam-5873	303	1	codes	code	NOUN
ejpam-5873	303	2	correcting	correct	VERB
ejpam-5873	303	3	a	a	DET
ejpam-5873	303	4	single	single	ADJ
ejpam-5873	303	5	insertion	insertion	NOUN
ejpam-5873	303	6	/	/	SYM
ejpam-5873	303	7	deletion	deletion	NOUN
ejpam-5873	303	8	of	of	ADP
ejpam-5873	303	9	a	a	DET
ejpam-5873	303	10	zero	zero	NUM
ejpam-5873	303	11	or	or	CCONJ
ejpam-5873	303	12	a	a	DET
ejpam-5873	303	13	single	single	ADJ
ejpam-5873	303	14	peak	peak	NOUN
ejpam-5873	303	15	-	-	PUNCT
ejpam-5873	303	16	shift	shift	NOUN
ejpam-5873	303	17	.	.	PUNCT
ejpam-5873	304	1	ieee	ieee	NOUN
ejpam-5873	304	2	transactions	transaction	NOUN
ejpam-5873	304	3	on	on	ADP
ejpam-5873	304	4	information	information	NOUN
ejpam-5873	304	5	theory	theory	NOUN
ejpam-5873	304	6	,	,	PUNCT
ejpam-5873	304	7	41(1):279–283	41(1):279–283	NUM
ejpam-5873	304	8	,	,	PUNCT
ejpam-5873	304	9	1995	1995	NUM
ejpam-5873	304	10	.	.	PUNCT
ejpam-5873	305	1	[	[	X
ejpam-5873	305	2	6	6	NUM
ejpam-5873	305	3	]	]	X
ejpam-5873	305	4	l.g	l.g	PROPN
ejpam-5873	305	5	.	.	PROPN
ejpam-5873	305	6	tallini	tallini	PROPN
ejpam-5873	305	7	,	,	PUNCT
ejpam-5873	305	8	n.	n.	PROPN
ejpam-5873	305	9	alqwaifly	alqwaifly	NOUN
ejpam-5873	305	10	,	,	PUNCT
ejpam-5873	305	11	and	and	CCONJ
ejpam-5873	305	12	b.	b.	PROPN
ejpam-5873	305	13	bose	bose	PROPN
ejpam-5873	305	14	.	.	PUNCT
ejpam-5873	306	1	deletions	deletion	NOUN
ejpam-5873	306	2	and	and	CCONJ
ejpam-5873	306	3	insertions	insertion	NOUN
ejpam-5873	306	4	of	of	ADP
ejpam-5873	306	5	the	the	DET
ejpam-5873	306	6	symbol	symbol	NOUN
ejpam-5873	306	7	′′0′′	′′0′′	NUM
ejpam-5873	306	8	and	and	CCONJ
ejpam-5873	306	9	asymmetric	asymmetric	ADJ
ejpam-5873	306	10	/	/	SYM
ejpam-5873	306	11	unidirectional	unidirectional	ADJ
ejpam-5873	306	12	error	error	NOUN
ejpam-5873	306	13	control	control	NOUN
ejpam-5873	306	14	codes	code	NOUN
ejpam-5873	306	15	for	for	ADP
ejpam-5873	306	16	the	the	DET
ejpam-5873	306	17	l	l	NOUN
ejpam-5873	306	18	metric	metric	NOUN
ejpam-5873	306	19	.	.	PUNCT
ejpam-5873	307	1	ieee	ieee	NOUN
ejpam-5873	307	2	transactions	transaction	NOUN
ejpam-5873	307	3	on	on	ADP
ejpam-5873	307	4	information	information	NOUN
ejpam-5873	307	5	theory	theory	NOUN
ejpam-5873	307	6	,	,	PUNCT
ejpam-5873	307	7	69(1):86–106	69(1):86–106	NUM
ejpam-5873	307	8	,	,	PUNCT
ejpam-5873	307	9	2023	2023	NUM
ejpam-5873	307	10	.	.	PUNCT
ejpam-5873	308	1	[	[	X
ejpam-5873	308	2	7	7	NUM
ejpam-5873	308	3	]	]	PUNCT
ejpam-5873	308	4	a.	a.	NOUN
ejpam-5873	308	5	razaq	razaq	NOUN
ejpam-5873	308	6	,	,	PUNCT
ejpam-5873	308	7	g.	g.	PROPN
ejpam-5873	308	8	alhamzi	alhamzi	PROPN
ejpam-5873	308	9	,	,	PUNCT
ejpam-5873	308	10	s.	s.	PROPN
ejpam-5873	308	11	abbas	abbas	PROPN
ejpam-5873	308	12	,	,	PUNCT
ejpam-5873	308	13	m.	m.	NOUN
ejpam-5873	308	14	ahmad	ahmad	PROPN
ejpam-5873	308	15	,	,	PUNCT
ejpam-5873	308	16	and	and	CCONJ
ejpam-5873	308	17	a.	a.	NOUN
ejpam-5873	308	18	razzaque	razzaque	NOUN
ejpam-5873	308	19	.	.	PUNCT
ejpam-5873	309	1	secure	secure	ADJ
ejpam-5873	309	2	communication	communication	NOUN
ejpam-5873	309	3	through	through	ADP
ejpam-5873	309	4	reliable	reliable	ADJ
ejpam-5873	309	5	s	s	PROPN
ejpam-5873	309	6	-	-	PUNCT
ejpam-5873	309	7	box	box	NOUN
ejpam-5873	309	8	design	design	NOUN
ejpam-5873	309	9	:	:	PUNCT
ejpam-5873	309	10	a	a	DET
ejpam-5873	309	11	proposed	propose	VERB
ejpam-5873	309	12	approach	approach	NOUN
ejpam-5873	309	13	using	use	VERB
ejpam-5873	309	14	coset	coset	NOUN
ejpam-5873	309	15	graphs	graph	NOUN
ejpam-5873	309	16	and	and	CCONJ
ejpam-5873	309	17	matrix	matrix	NOUN
ejpam-5873	309	18	operations	operation	NOUN
ejpam-5873	309	19	.	.	PUNCT
ejpam-5873	310	1	heliyon	heliyon	NOUN
ejpam-5873	310	2	,	,	PUNCT
ejpam-5873	310	3	9(5):e15902	9(5):e15902	NUM
ejpam-5873	310	4	,	,	PUNCT
ejpam-5873	310	5	2023	2023	NUM
ejpam-5873	310	6	.	.	PUNCT
ejpam-5873	311	1	[	[	X
ejpam-5873	311	2	8	8	NUM
ejpam-5873	311	3	]	]	PUNCT
ejpam-5873	311	4	a.	a.	NOUN
ejpam-5873	311	5	razzaque	razzaque	NOUN
ejpam-5873	311	6	,	,	PUNCT
ejpam-5873	311	7	a.	a.	NOUN
ejpam-5873	311	8	razaq	razaq	PROPN
ejpam-5873	311	9	,	,	PUNCT
ejpam-5873	311	10	s.m	s.m	PROPN
ejpam-5873	311	11	.	.	PROPN
ejpam-5873	311	12	farooq	farooq	PROPN
ejpam-5873	311	13	,	,	PUNCT
ejpam-5873	311	14	i.	i.	PROPN
ejpam-5873	311	15	masmali	masmali	PROPN
ejpam-5873	311	16	,	,	PUNCT
ejpam-5873	311	17	and	and	CCONJ
ejpam-5873	311	18	m.i	m.i	PROPN
ejpam-5873	311	19	.	.	PROPN
ejpam-5873	311	20	faraz	faraz	PROPN
ejpam-5873	311	21	.	.	PUNCT
ejpam-5873	312	1	an	an	DET
ejpam-5873	312	2	efficient	efficient	ADJ
ejpam-5873	312	3	s	s	NOUN
ejpam-5873	312	4	-	-	PUNCT
ejpam-5873	312	5	box	box	NOUN
ejpam-5873	312	6	design	design	NOUN
ejpam-5873	312	7	scheme	scheme	NOUN
ejpam-5873	312	8	for	for	ADP
ejpam-5873	312	9	image	image	NOUN
ejpam-5873	312	10	encryption	encryption	NOUN
ejpam-5873	312	11	based	base	VERB
ejpam-5873	312	12	on	on	ADP
ejpam-5873	312	13	the	the	DET
ejpam-5873	312	14	combination	combination	NOUN
ejpam-5873	312	15	of	of	ADP
ejpam-5873	312	16	a	a	DET
ejpam-5873	312	17	coset	coset	NOUN
ejpam-5873	312	18	graph	graph	NOUN
ejpam-5873	312	19	and	and	CCONJ
ejpam-5873	312	20	a	a	DET
ejpam-5873	312	21	matrix	matrix	NOUN
ejpam-5873	312	22	transformer	transformer	NOUN
ejpam-5873	312	23	.	.	PUNCT
ejpam-5873	313	1	electronic	electronic	ADJ
ejpam-5873	313	2	research	research	NOUN
ejpam-5873	313	3	archive	archive	NOUN
ejpam-5873	313	4	,	,	PUNCT
ejpam-5873	313	5	31(5):2708–2732	31(5):2708–2732	NUM
ejpam-5873	313	6	,	,	PUNCT
ejpam-5873	313	7	2023	2023	NUM
ejpam-5873	313	8	.	.	PUNCT
ejpam-5873	314	1	[	[	X
ejpam-5873	314	2	9	9	NUM
ejpam-5873	314	3	]	]	X
ejpam-5873	314	4	v.	v.	PROPN
ejpam-5873	314	5	levenshtein	levenshtein	PROPN
ejpam-5873	314	6	.	.	PUNCT
ejpam-5873	315	1	binary	binary	ADJ
ejpam-5873	315	2	codes	code	NOUN
ejpam-5873	315	3	with	with	ADP
ejpam-5873	315	4	correction	correction	NOUN
ejpam-5873	315	5	for	for	ADP
ejpam-5873	315	6	deletions	deletion	NOUN
ejpam-5873	315	7	and	and	CCONJ
ejpam-5873	315	8	insertions	insertion	NOUN
ejpam-5873	315	9	of	of	ADP
ejpam-5873	315	10	the	the	DET
ejpam-5873	315	11	symbol	symbol	NOUN
ejpam-5873	315	12	1	1	NUM
ejpam-5873	315	13	.	.	PUNCT
ejpam-5873	315	14	problems	problem	NOUN
ejpam-5873	315	15	of	of	ADP
ejpam-5873	315	16	information	information	NOUN
ejpam-5873	315	17	transmission	transmission	NOUN
ejpam-5873	315	18	,	,	PUNCT
ejpam-5873	315	19	1(1):8–17	1(1):8–17	NUM
ejpam-5873	315	20	,	,	PUNCT
ejpam-5873	315	21	1965	1965	NUM
ejpam-5873	315	22	.	.	PUNCT
ejpam-5873	316	1	[	[	X
ejpam-5873	316	2	10	10	NUM
ejpam-5873	316	3	]	]	X
ejpam-5873	316	4	l.g	l.g	PROPN
ejpam-5873	316	5	.	.	PROPN
ejpam-5873	316	6	tallini	tallini	PROPN
ejpam-5873	316	7	and	and	CCONJ
ejpam-5873	316	8	b.	b.	PROPN
ejpam-5873	316	9	bose	bose	PROPN
ejpam-5873	316	10	.	.	PUNCT
ejpam-5873	317	1	on	on	ADP
ejpam-5873	317	2	l1	l1	PROPN
ejpam-5873	317	3	metric	metric	PROPN
ejpam-5873	317	4	asymmetric	asymmetric	PROPN
ejpam-5873	317	5	/	/	SYM
ejpam-5873	317	6	unidirectional	unidirectional	ADJ
ejpam-5873	317	7	error	error	NOUN
ejpam-5873	317	8	control	control	NOUN
ejpam-5873	317	9	codes	code	NOUN
ejpam-5873	317	10	.	.	PUNCT
ejpam-5873	318	1	in	in	ADP
ejpam-5873	318	2	2013	2013	NUM
ejpam-5873	318	3	international	international	ADJ
ejpam-5873	318	4	symposium	symposium	NOUN
ejpam-5873	318	5	on	on	ADP
ejpam-5873	318	6	information	information	NOUN
ejpam-5873	318	7	theory	theory	NOUN
ejpam-5873	318	8	,	,	PUNCT
ejpam-5873	318	9	istanbul	istanbul	PROPN
ejpam-5873	318	10	,	,	PUNCT
ejpam-5873	318	11	turke	turke	PROPN
ejpam-5873	318	12	.	.	PUNCT
ejpam-5873	318	13	,	,	PUNCT
ejpam-5873	318	14	pages	page	NOUN
ejpam-5873	318	15	694–698	694–698	NUM
ejpam-5873	318	16	.	.	PUNCT
ejpam-5873	318	17	2013	2013	NUM
ejpam-5873	318	18	.	.	PUNCT
ejpam-5873	319	1	n.	n.	PROPN
ejpam-5873	319	2	a.	a.	PROPN
ejpam-5873	319	3	alqwaifly	alqwaifly	PROPN
ejpam-5873	319	4	/	/	SYM
ejpam-5873	319	5	eur	eur	PROPN
ejpam-5873	319	6	.	.	PUNCT
ejpam-5873	320	1	j.	j.	PROPN
ejpam-5873	320	2	pure	pure	PROPN
ejpam-5873	320	3	appl	appl	PROPN
ejpam-5873	320	4	.	.	PROPN
ejpam-5873	320	5	math	math	PROPN
ejpam-5873	320	6	,	,	PUNCT
ejpam-5873	320	7	18	18	NUM
ejpam-5873	320	8	(	(	PUNCT
ejpam-5873	320	9	2	2	NUM
ejpam-5873	320	10	)	)	PUNCT
ejpam-5873	320	11	(	(	PUNCT
ejpam-5873	320	12	2025	2025	NUM
ejpam-5873	320	13	)	)	PUNCT
ejpam-5873	320	14	,	,	PUNCT
ejpam-5873	320	15	5873	5873	NUM
ejpam-5873	320	16	16	16	NUM
ejpam-5873	320	17	of	of	ADP
ejpam-5873	320	18	16	16	NUM
ejpam-5873	321	1	[	[	X
ejpam-5873	321	2	11	11	NUM
ejpam-5873	321	3	]	]	X
ejpam-5873	321	4	l.g	l.g	PROPN
ejpam-5873	321	5	.	.	PROPN
ejpam-5873	321	6	tallini	tallini	PROPN
ejpam-5873	321	7	and	and	CCONJ
ejpam-5873	321	8	b.	b.	PROPN
ejpam-5873	321	9	bose	bose	PROPN
ejpam-5873	321	10	.	.	PUNCT
ejpam-5873	322	1	on	on	ADP
ejpam-5873	322	2	l1	l1	PROPN
ejpam-5873	322	3	-	-	PUNCT
ejpam-5873	322	4	distance	distance	NOUN
ejpam-5873	322	5	error	error	NOUN
ejpam-5873	322	6	control	control	NOUN
ejpam-5873	322	7	codes	code	NOUN
ejpam-5873	322	8	.	.	PUNCT
ejpam-5873	323	1	in	in	ADP
ejpam-5873	323	2	2011	2011	NUM
ejpam-5873	323	3	ieee	ieee	NOUN
ejpam-5873	323	4	international	international	ADJ
ejpam-5873	323	5	symposium	symposium	NOUN
ejpam-5873	323	6	on	on	ADP
ejpam-5873	323	7	information	information	NOUN
ejpam-5873	323	8	theory	theory	NOUN
ejpam-5873	323	9	proceedings	proceeding	NOUN
ejpam-5873	323	10	,	,	PUNCT
ejpam-5873	323	11	st	st	PROPN
ejpam-5873	323	12	.	.	PROPN
ejpam-5873	323	13	petersburg	petersburg	PROPN
ejpam-5873	323	14	,	,	PUNCT
ejpam-5873	323	15	russia	russia	PROPN
ejpam-5873	323	16	.	.	PUNCT
ejpam-5873	323	17	,	,	PUNCT
ejpam-5873	323	18	pages	page	NOUN
ejpam-5873	323	19	1026–1030	1026–1030	NUM
ejpam-5873	323	20	.	.	PUNCT
ejpam-5873	324	1	2011	2011	NUM
ejpam-5873	324	2	.	.	PUNCT
ejpam-5873	325	1	[	[	X
ejpam-5873	325	2	12	12	NUM
ejpam-5873	325	3	]	]	X
ejpam-5873	325	4	b.	b.	PROPN
ejpam-5873	325	5	bose	bose	PROPN
ejpam-5873	325	6	,	,	PUNCT
ejpam-5873	325	7	n.	n.	PROPN
ejpam-5873	325	8	elarief	elarief	NOUN
ejpam-5873	325	9	,	,	PUNCT
ejpam-5873	325	10	and	and	CCONJ
ejpam-5873	325	11	l.g	l.g	PROPN
ejpam-5873	325	12	.	.	PROPN
ejpam-5873	325	13	tallini	tallini	PROPN
ejpam-5873	325	14	.	.	PUNCT
ejpam-5873	326	1	on	on	ADP
ejpam-5873	326	2	codes	code	NOUN
ejpam-5873	326	3	achieving	achieve	VERB
ejpam-5873	326	4	zero	zero	NUM
ejpam-5873	326	5	error	error	NOUN
ejpam-5873	326	6	capacities	capacity	NOUN
ejpam-5873	326	7	in	in	ADP
ejpam-5873	326	8	limited	limited	ADJ
ejpam-5873	326	9	magnitude	magnitude	NOUN
ejpam-5873	326	10	error	error	NOUN
ejpam-5873	326	11	channels	channel	NOUN
ejpam-5873	326	12	.	.	PUNCT
ejpam-5873	327	1	ieee	ieee	PROPN
ejpam-5873	327	2	trans	trans	PROPN
ejpam-5873	327	3	.	.	PUNCT
ejpam-5873	328	1	on	on	ADP
ejpam-5873	328	2	inform	inform	NOUN
ejpam-5873	328	3	.	.	PUNCT
ejpam-5873	329	1	theory	theory	NOUN
ejpam-5873	329	2	,	,	PUNCT
ejpam-5873	329	3	64:257–273	64:257–273	PROPN
ejpam-5873	329	4	,	,	PUNCT
ejpam-5873	329	5	2018	2018	NUM
ejpam-5873	329	6	.	.	PUNCT
ejpam-5873	330	1	[	[	X
ejpam-5873	330	2	13	13	NUM
ejpam-5873	330	3	]	]	X
ejpam-5873	330	4	b.	b.	PROPN
ejpam-5873	330	5	bose	bose	PROPN
ejpam-5873	330	6	and	and	CCONJ
ejpam-5873	330	7	t.r.n	t.r.n	PROPN
ejpam-5873	330	8	.	.	PROPN
ejpam-5873	330	9	rao	rao	PROPN
ejpam-5873	330	10	.	.	PUNCT
ejpam-5873	331	1	theory	theory	NOUN
ejpam-5873	331	2	of	of	ADP
ejpam-5873	331	3	unidirectional	unidirectional	ADJ
ejpam-5873	331	4	error	error	NOUN
ejpam-5873	331	5	correcting	correcting	NOUN
ejpam-5873	331	6	/	/	SYM
ejpam-5873	331	7	detecting	detect	VERB
ejpam-5873	331	8	codes	code	NOUN
ejpam-5873	331	9	.	.	PUNCT
ejpam-5873	332	1	ieee	ieee	PROPN
ejpam-5873	332	2	trans	trans	PROPN
ejpam-5873	332	3	.	.	PUNCT
ejpam-5873	333	1	on	on	ADP
ejpam-5873	333	2	comput	comput	NOUN
ejpam-5873	333	3	.	.	PUNCT
ejpam-5873	333	4	,	,	PUNCT
ejpam-5873	333	5	31:521–530	31:521–530	PROPN
ejpam-5873	333	6	,	,	PUNCT
ejpam-5873	333	7	1982	1982	NUM
ejpam-5873	333	8	.	.	PUNCT
ejpam-5873	334	1	[	[	X
ejpam-5873	334	2	14	14	NUM
ejpam-5873	334	3	]	]	X
ejpam-5873	334	4	j.h	j.h	PROPN
ejpam-5873	334	5	.	.	PROPN
ejpam-5873	334	6	weber	weber	PROPN
ejpam-5873	334	7	and	and	CCONJ
ejpam-5873	334	8	d.e	d.e	PROPN
ejpam-5873	334	9	.	.	PROPN
ejpam-5873	334	10	boekee	boekee	PROPN
ejpam-5873	334	11	c.	c.	PROPN
ejpam-5873	334	12	de	de	PROPN
ejpam-5873	334	13	vroedt	vroedt	PROPN
ejpam-5873	334	14	.	.	PUNCT
ejpam-5873	334	15	necessary	necessary	ADJ
ejpam-5873	334	16	and	and	CCONJ
ejpam-5873	334	17	sufficient	sufficient	ADJ
ejpam-5873	334	18	conditions	condition	NOUN
ejpam-5873	334	19	on	on	ADP
ejpam-5873	334	20	block	block	NOUN
ejpam-5873	334	21	codes	code	NOUN
ejpam-5873	334	22	correcting	correct	VERB
ejpam-5873	334	23	/	/	SYM
ejpam-5873	334	24	detecting	detect	VERB
ejpam-5873	334	25	errors	error	NOUN
ejpam-5873	334	26	of	of	ADP
ejpam-5873	334	27	various	various	ADJ
ejpam-5873	334	28	types	type	NOUN
ejpam-5873	334	29	.	.	PUNCT
ejpam-5873	335	1	ieee	ieee	NOUN
ejpam-5873	335	2	transactions	transaction	NOUN
ejpam-5873	335	3	on	on	ADP
ejpam-5873	335	4	computers	computer	NOUN
ejpam-5873	335	5	,	,	PUNCT
ejpam-5873	335	6	41(9):1189–1193	41(9):1189–1193	NUM
ejpam-5873	335	7	,	,	PUNCT
ejpam-5873	335	8	1992	1992	NUM
ejpam-5873	335	9	.	.	PUNCT
ejpam-5873	336	1	[	[	X
ejpam-5873	336	2	15	15	NUM
ejpam-5873	336	3	]	]	X
ejpam-5873	336	4	l.g	l.g	PROPN
ejpam-5873	336	5	.	.	PROPN
ejpam-5873	336	6	tallini	tallini	PROPN
ejpam-5873	336	7	and	and	CCONJ
ejpam-5873	336	8	b.	b.	PROPN
ejpam-5873	336	9	bose	bose	PROPN
ejpam-5873	336	10	.	.	PUNCT
ejpam-5873	337	1	on	on	ADP
ejpam-5873	337	2	a	a	DET
ejpam-5873	337	3	new	new	ADJ
ejpam-5873	337	4	class	class	NOUN
ejpam-5873	337	5	of	of	ADP
ejpam-5873	337	6	error	error	NOUN
ejpam-5873	337	7	control	control	NOUN
ejpam-5873	337	8	codes	code	NOUN
ejpam-5873	337	9	and	and	CCONJ
ejpam-5873	337	10	symmetric	symmetric	ADJ
ejpam-5873	337	11	functions	function	NOUN
ejpam-5873	337	12	.	.	PUNCT
ejpam-5873	338	1	in	in	ADP
ejpam-5873	338	2	2008	2008	NUM
ejpam-5873	338	3	ieee	ieee	NOUN
ejpam-5873	338	4	international	international	ADJ
ejpam-5873	338	5	symposium	symposium	NOUN
ejpam-5873	338	6	on	on	ADP
ejpam-5873	338	7	information	information	NOUN
ejpam-5873	338	8	theory	theory	NOUN
ejpam-5873	338	9	,	,	PUNCT
ejpam-5873	338	10	toronto	toronto	PROPN
ejpam-5873	338	11	,	,	PUNCT
ejpam-5873	338	12	on	on	ADP
ejpam-5873	338	13	,	,	PUNCT
ejpam-5873	338	14	canada	canada	PROPN
ejpam-5873	338	15	.	.	PUNCT
ejpam-5873	338	16	,	,	PUNCT
ejpam-5873	338	17	pages	page	NOUN
ejpam-5873	338	18	980–984	980–984	NUM
ejpam-5873	338	19	.	.	PUNCT
ejpam-5873	338	20	2008	2008	NUM
ejpam-5873	338	21	.	.	PUNCT
ejpam-5873	339	1	[	[	X
ejpam-5873	339	2	16	16	NUM
ejpam-5873	339	3	]	]	X
ejpam-5873	339	4	l.g	l.g	PROPN
ejpam-5873	339	5	.	.	PROPN
ejpam-5873	339	6	tallini	tallini	PROPN
ejpam-5873	339	7	and	and	CCONJ
ejpam-5873	339	8	b.	b.	PROPN
ejpam-5873	339	9	bose	bose	PROPN
ejpam-5873	339	10	.	.	PUNCT
ejpam-5873	340	1	on	on	ADP
ejpam-5873	340	2	decoding	decode	VERB
ejpam-5873	340	3	some	some	DET
ejpam-5873	340	4	error	error	NOUN
ejpam-5873	340	5	control	control	NOUN
ejpam-5873	340	6	codes	code	NOUN
ejpam-5873	340	7	using	use	VERB
ejpam-5873	340	8	the	the	DET
ejpam-5873	340	9	elementary	elementary	ADJ
ejpam-5873	340	10	symmetric	symmetric	ADJ
ejpam-5873	340	11	functions	function	NOUN
ejpam-5873	340	12	.	.	PUNCT
ejpam-5873	341	1	in	in	ADP
ejpam-5873	341	2	n.	n.	PROPN
ejpam-5873	341	3	melone	melone	PROPN
ejpam-5873	341	4	f.	f.	PROPN
ejpam-5873	341	5	mazzocca	mazzocca	PROPN
ejpam-5873	341	6	and	and	CCONJ
ejpam-5873	341	7	d.	d.	PROPN
ejpam-5873	341	8	olanda	olanda	PROPN
ejpam-5873	341	9	,	,	PUNCT
ejpam-5873	341	10	editors	editor	NOUN
ejpam-5873	341	11	,	,	PUNCT
ejpam-5873	341	12	trends	trend	NOUN
ejpam-5873	341	13	in	in	ADP
ejpam-5873	341	14	incidence	incidence	NOUN
ejpam-5873	341	15	and	and	CCONJ
ejpam-5873	341	16	galois	galois	PROPN
ejpam-5873	341	17	geometries	geometry	NOUN
ejpam-5873	341	18	:	:	PUNCT
ejpam-5873	341	19	a	a	DET
ejpam-5873	341	20	tribute	tribute	NOUN
ejpam-5873	341	21	to	to	ADP
ejpam-5873	341	22	giuseppe	giuseppe	PROPN
ejpam-5873	341	23	tallini	tallini	PROPN
ejpam-5873	341	24	quaderni	quaderni	PROPN
ejpam-5873	341	25	di	di	PROPN
ejpam-5873	341	26	matematica	matematica	PROPN
ejpam-5873	341	27	,	,	PUNCT
ejpam-5873	341	28	vol	vol	NOUN
ejpam-5873	341	29	19	19	NUM
ejpam-5873	341	30	.	.	NUM
ejpam-5873	341	31	,	,	PUNCT
ejpam-5873	341	32	pages	page	NOUN
ejpam-5873	341	33	265–297	265–297	NUM
ejpam-5873	341	34	.	.	PUNCT
ejpam-5873	342	1	caserta	caserta	PROPN
ejpam-5873	342	2	,	,	PUNCT
ejpam-5873	342	3	dipartimento	dipartimento	ADP
ejpam-5873	342	4	di	di	PROPN
ejpam-5873	342	5	matematica	matematica	PROPN
ejpam-5873	342	6	,	,	PUNCT
ejpam-5873	342	7	seconda	seconda	PROPN
ejpam-5873	342	8	università	università	PROPN
ejpam-5873	342	9	di	di	PROPN
ejpam-5873	342	10	napoli	napoli	PROPN
ejpam-5873	342	11	,	,	PUNCT
ejpam-5873	342	12	2010	2010	NUM
ejpam-5873	342	13	.	.	PUNCT
ejpam-5873	343	1	[	[	X
ejpam-5873	343	2	17	17	NUM
ejpam-5873	343	3	]	]	X
ejpam-5873	343	4	l.g	l.g	PROPN
ejpam-5873	343	5	.	.	PROPN
ejpam-5873	343	6	tallini	tallini	PROPN
ejpam-5873	343	7	,	,	PUNCT
ejpam-5873	343	8	n.	n.	PROPN
ejpam-5873	343	9	elarief	elarief	NOUN
ejpam-5873	343	10	,	,	PUNCT
ejpam-5873	343	11	and	and	CCONJ
ejpam-5873	343	12	b.	b.	PROPN
ejpam-5873	343	13	bose	bose	PROPN
ejpam-5873	343	14	.	.	PUNCT
ejpam-5873	344	1	on	on	ADP
ejpam-5873	344	2	efficient	efficient	ADJ
ejpam-5873	344	3	repetition	repetition	NOUN
ejpam-5873	344	4	error	error	NOUN
ejpam-5873	344	5	correcting	correct	VERB
ejpam-5873	344	6	codes	code	NOUN
ejpam-5873	344	7	.	.	PUNCT
ejpam-5873	345	1	in	in	ADP
ejpam-5873	345	2	2010	2010	NUM
ejpam-5873	345	3	ieee	ieee	NOUN
ejpam-5873	345	4	international	international	ADJ
ejpam-5873	345	5	symposium	symposium	NOUN
ejpam-5873	345	6	on	on	ADP
ejpam-5873	345	7	information	information	NOUN
ejpam-5873	345	8	theory	theory	NOUN
ejpam-5873	345	9	,	,	PUNCT
ejpam-5873	345	10	austin	austin	PROPN
ejpam-5873	345	11	,	,	PUNCT
ejpam-5873	345	12	tx	tx	PROPN
ejpam-5873	345	13	,	,	PUNCT
ejpam-5873	345	14	usa	usa	PROPN
ejpam-5873	345	15	.	.	PROPN
ejpam-5873	345	16	,	,	PUNCT
ejpam-5873	345	17	pages	page	NOUN
ejpam-5873	345	18	1012–1016	1012–1016	NUM
ejpam-5873	345	19	.	.	PUNCT
ejpam-5873	345	20	2010	2010	NUM
ejpam-5873	345	21	.	.	PUNCT
ejpam-5873	346	1	[	[	X
ejpam-5873	346	2	18	18	NUM
ejpam-5873	346	3	]	]	X
ejpam-5873	346	4	l.g	l.g	PROPN
ejpam-5873	346	5	.	.	PROPN
ejpam-5873	346	6	tallini	tallini	PROPN
ejpam-5873	346	7	and	and	CCONJ
ejpam-5873	346	8	b.	b.	PROPN
ejpam-5873	346	9	bose	bose	PROPN
ejpam-5873	346	10	.	.	PUNCT
ejpam-5873	347	1	on	on	ADP
ejpam-5873	347	2	symmetric	symmetric	ADJ
ejpam-5873	347	3	l1	l1	PROPN
ejpam-5873	347	4	distance	distance	NOUN
ejpam-5873	347	5	error	error	NOUN
ejpam-5873	347	6	control	control	NOUN
ejpam-5873	347	7	codes	code	NOUN
ejpam-5873	347	8	and	and	CCONJ
ejpam-5873	347	9	elementary	elementary	ADJ
ejpam-5873	347	10	symmetric	symmetric	ADJ
ejpam-5873	347	11	functions	function	NOUN
ejpam-5873	347	12	.	.	PUNCT
ejpam-5873	348	1	in	in	ADP
ejpam-5873	348	2	2012	2012	NUM
ejpam-5873	348	3	ieee	ieee	NOUN
ejpam-5873	348	4	international	international	ADJ
ejpam-5873	348	5	symposium	symposium	NOUN
ejpam-5873	348	6	on	on	ADP
ejpam-5873	348	7	information	information	NOUN
ejpam-5873	348	8	theory	theory	NOUN
ejpam-5873	348	9	proceedings	proceeding	NOUN
ejpam-5873	348	10	,	,	PUNCT
ejpam-5873	348	11	cambridge	cambridge	PROPN
ejpam-5873	348	12	,	,	PUNCT
ejpam-5873	348	13	ma	ma	PROPN
ejpam-5873	348	14	,	,	PUNCT
ejpam-5873	348	15	usa	usa	PROPN
ejpam-5873	348	16	.	.	PROPN
ejpam-5873	348	17	,	,	PUNCT
ejpam-5873	348	18	pages	page	NOUN
ejpam-5873	348	19	741–745	741–745	NUM
ejpam-5873	348	20	.	.	PUNCT
ejpam-5873	348	21	2012	2012	NUM
ejpam-5873	348	22	.	.	PUNCT
ejpam-5873	349	1	[	[	X
ejpam-5873	349	2	19	19	NUM
ejpam-5873	349	3	]	]	X
ejpam-5873	349	4	l.g	l.g	PROPN
ejpam-5873	349	5	.	.	PROPN
ejpam-5873	349	6	tallini	tallini	PROPN
ejpam-5873	349	7	and	and	CCONJ
ejpam-5873	349	8	b.	b.	PROPN
ejpam-5873	349	9	bose	bose	PROPN
ejpam-5873	349	10	.	.	PUNCT
ejpam-5873	350	1	on	on	ADP
ejpam-5873	350	2	some	some	DET
ejpam-5873	350	3	new	new	ADJ
ejpam-5873	350	4	∫∫	∫∫	PROPN
ejpam-5873	350	5	m	m	NOUN
ejpam-5873	350	6	linear	linear	ADJ
ejpam-5873	350	7	codes	code	NOUN
ejpam-5873	350	8	based	base	VERB
ejpam-5873	350	9	on	on	ADP
ejpam-5873	350	10	elementary	elementary	ADJ
ejpam-5873	350	11	symmetric	symmetric	ADJ
ejpam-5873	350	12	functions	function	NOUN
ejpam-5873	350	13	.	.	PUNCT
ejpam-5873	351	1	in	in	ADP
ejpam-5873	351	2	2018	2018	NUM
ejpam-5873	351	3	ieee	ieee	NOUN
ejpam-5873	351	4	international	international	ADJ
ejpam-5873	351	5	symposium	symposium	NOUN
ejpam-5873	351	6	on	on	ADP
ejpam-5873	351	7	information	information	NOUN
ejpam-5873	351	8	theory	theory	NOUN
ejpam-5873	351	9	(	(	PUNCT
ejpam-5873	351	10	isit	isit	PROPN
ejpam-5873	351	11	)	)	PUNCT
ejpam-5873	351	12	,	,	PUNCT
ejpam-5873	351	13	vail	vail	NOUN
ejpam-5873	351	14	,	,	PUNCT
ejpam-5873	351	15	co	co	NOUN
ejpam-5873	351	16	,	,	PUNCT
ejpam-5873	351	17	usa	usa	PROPN
ejpam-5873	351	18	.	.	PROPN
ejpam-5873	351	19	,	,	PUNCT
ejpam-5873	351	20	pages	page	NOUN
ejpam-5873	351	21	1665–1669	1665–1669	NUM
ejpam-5873	351	22	,	,	PUNCT
ejpam-5873	351	23	.	.	PUNCT
ejpam-5873	351	24	2018	2018	NUM
ejpam-5873	351	25	.	.	PUNCT
ejpam-5873	352	1	[	[	X
ejpam-5873	352	2	20	20	NUM
ejpam-5873	352	3	]	]	PUNCT
ejpam-5873	352	4	f.	f.	PROPN
ejpam-5873	352	5	palunc̆ić	palunc̆ić	PROPN
ejpam-5873	352	6	,	,	PUNCT
ejpam-5873	352	7	k.a.s	k.a.s	PROPN
ejpam-5873	352	8	.	.	PROPN
ejpam-5873	352	9	abdel	abdel	PROPN
ejpam-5873	352	10	-	-	PUNCT
ejpam-5873	352	11	ghaffar	ghaffar	PROPN
ejpam-5873	352	12	,	,	PUNCT
ejpam-5873	352	13	h.	h.	PROPN
ejpam-5873	352	14	c.	c.	PROPN
ejpam-5873	352	15	ferreira	ferreira	PROPN
ejpam-5873	352	16	,	,	PUNCT
ejpam-5873	352	17	and	and	CCONJ
ejpam-5873	352	18	w.	w.	PROPN
ejpam-5873	352	19	a.	a.	PROPN
ejpam-5873	352	20	clarke	clarke	PROPN
ejpam-5873	352	21	.	.	PUNCT
ejpam-5873	353	1	a	a	DET
ejpam-5873	353	2	multiple	multiple	ADJ
ejpam-5873	353	3	insertion	insertion	NOUN
ejpam-5873	353	4	/	/	SYM
ejpam-5873	353	5	deletion	deletion	NOUN
ejpam-5873	353	6	correcting	correct	VERB
ejpam-5873	353	7	code	code	NOUN
ejpam-5873	353	8	for	for	ADP
ejpam-5873	353	9	run	run	NOUN
ejpam-5873	353	10	-	-	PUNCT
ejpam-5873	353	11	length	length	NOUN
ejpam-5873	353	12	limited	limited	ADJ
ejpam-5873	353	13	sequences	sequence	NOUN
ejpam-5873	353	14	.	.	PUNCT
ejpam-5873	354	1	ieee	ieee	NOUN
ejpam-5873	354	2	transactions	transaction	NOUN
ejpam-5873	354	3	on	on	ADP
ejpam-5873	354	4	information	information	NOUN
ejpam-5873	354	5	theory	theory	NOUN
ejpam-5873	354	6	,	,	PUNCT
ejpam-5873	354	7	58(3):1809–1824	58(3):1809–1824	NUM
ejpam-5873	354	8	,	,	PUNCT
ejpam-5873	354	9	2012	2012	NUM
ejpam-5873	354	10	.	.	PUNCT