id	sid	tid	token	lemma	pos
ejpam-3898	1	1	european	european	PROPN
ejpam-3898	1	2	journal	journal	PROPN
ejpam-3898	1	3	of	of	ADP
ejpam-3898	1	4	pure	pure	ADJ
ejpam-3898	1	5	and	and	CCONJ
ejpam-3898	1	6	applied	apply	VERB
ejpam-3898	1	7	mathematics	mathematic	NOUN
ejpam-3898	1	8	vol	vol	NOUN
ejpam-3898	1	9	.	.	PUNCT
ejpam-3898	2	1	14	14	NUM
ejpam-3898	2	2	,	,	PUNCT
ejpam-3898	2	3	no	no	INTJ
ejpam-3898	2	4	.	.	NOUN
ejpam-3898	2	5	1	1	NUM
ejpam-3898	2	6	,	,	PUNCT
ejpam-3898	2	7	2021	2021	NUM
ejpam-3898	2	8	,	,	PUNCT
ejpam-3898	2	9	265	265	NUM
ejpam-3898	2	10	-	-	SYM
ejpam-3898	2	11	267	267	NUM
ejpam-3898	2	12	issn	issn	PROPN
ejpam-3898	2	13	1307	1307	NUM
ejpam-3898	2	14	-	-	SYM
ejpam-3898	2	15	5543	5543	NUM
ejpam-3898	2	16	–	–	PUNCT
ejpam-3898	2	17	ejpam.com	ejpam.com	X
ejpam-3898	2	18	published	publish	VERB
ejpam-3898	2	19	by	by	ADP
ejpam-3898	2	20	new	new	PROPN
ejpam-3898	2	21	york	york	PROPN
ejpam-3898	2	22	business	business	PROPN
ejpam-3898	2	23	global	global	ADJ
ejpam-3898	2	24	note	note	NOUN
ejpam-3898	2	25	on	on	ADP
ejpam-3898	2	26	irreducible	irreducible	ADJ
ejpam-3898	2	27	polynomials	polynomial	NOUN
ejpam-3898	2	28	over	over	ADP
ejpam-3898	2	29	finite	finite	ADJ
ejpam-3898	2	30	field	field	NOUN
ejpam-3898	2	31	amara	amara	PROPN
ejpam-3898	2	32	chandoul1,∗	chandoul1,∗	NOUN
ejpam-3898	2	33	,	,	PUNCT
ejpam-3898	2	34	alanod	alanod	PROPN
ejpam-3898	2	35	m.	m.	NOUN
ejpam-3898	2	36	sibih2	sibih2	PROPN
ejpam-3898	2	37	1	1	NUM
ejpam-3898	2	38	department	department	NOUN
ejpam-3898	2	39	of	of	ADP
ejpam-3898	2	40	mathematics	mathematics	PROPN
ejpam-3898	2	41	institut	institut	PROPN
ejpam-3898	2	42	supérieure	supérieure	PROPN
ejpam-3898	2	43	d’informatique	d’informatique	PROPN
ejpam-3898	2	44	et	et	X
ejpam-3898	2	45	de	de	X
ejpam-3898	2	46	multimedia	multimedia	X
ejpam-3898	2	47	de	de	X
ejpam-3898	2	48	sfax	sfax	NOUN
ejpam-3898	2	49	,	,	PUNCT
ejpam-3898	2	50	sfax	sfax	NOUN
ejpam-3898	2	51	,	,	PUNCT
ejpam-3898	2	52	tunisia	tunisia	PROPN
ejpam-3898	2	53	2	2	NUM
ejpam-3898	2	54	department	department	NOUN
ejpam-3898	2	55	of	of	ADP
ejpam-3898	2	56	mathematics	mathematic	NOUN
ejpam-3898	2	57	,	,	PUNCT
ejpam-3898	2	58	jamoum	jamoum	PROPN
ejpam-3898	2	59	university	university	PROPN
ejpam-3898	2	60	college	college	NOUN
ejpam-3898	2	61	,	,	PUNCT
ejpam-3898	2	62	umm	umm	INTJ
ejpam-3898	2	63	al	al	PROPN
ejpam-3898	2	64	-	-	PUNCT
ejpam-3898	2	65	qura	qura	PROPN
ejpam-3898	2	66	university	university	NOUN
ejpam-3898	2	67	,	,	PUNCT
ejpam-3898	2	68	saudi	saudi	PROPN
ejpam-3898	2	69	arabia	arabia	PROPN
ejpam-3898	2	70	abstract	abstract	NOUN
ejpam-3898	2	71	.	.	PUNCT
ejpam-3898	3	1	in	in	ADP
ejpam-3898	3	2	this	this	DET
ejpam-3898	3	3	note	note	NOUN
ejpam-3898	3	4	we	we	PRON
ejpam-3898	3	5	extend	extend	VERB
ejpam-3898	3	6	an	an	DET
ejpam-3898	3	7	irreducibility	irreducibility	NOUN
ejpam-3898	3	8	criterion	criterion	NOUN
ejpam-3898	3	9	of	of	ADP
ejpam-3898	3	10	polynomial	polynomial	ADJ
ejpam-3898	3	11	over	over	ADP
ejpam-3898	3	12	finite	finite	ADJ
ejpam-3898	3	13	fields	field	NOUN
ejpam-3898	3	14	.	.	PUNCT
ejpam-3898	4	1	we	we	PRON
ejpam-3898	4	2	prove	prove	VERB
ejpam-3898	4	3	the	the	DET
ejpam-3898	4	4	irreducibility	irreducibility	NOUN
ejpam-3898	4	5	of	of	ADP
ejpam-3898	4	6	the	the	DET
ejpam-3898	4	7	polynomial	polynomial	ADJ
ejpam-3898	4	8	p	p	NOUN
ejpam-3898	4	9	(	(	PUNCT
ejpam-3898	4	10	y	y	PROPN
ejpam-3898	4	11	)	)	PUNCT
ejpam-3898	5	1	=	=	PUNCT
ejpam-3898	5	2	y	y	PROPN
ejpam-3898	5	3	n	n	PROPN
ejpam-3898	5	4	+	+	NUM
ejpam-3898	5	5	λn−1y	λn−1y	PROPN
ejpam-3898	5	6	n−1	n−1	PROPN
ejpam-3898	5	7	+	+	CCONJ
ejpam-3898	5	8	λn−2y	λn−2y	PROPN
ejpam-3898	5	9	n−2	n−2	PROPN
ejpam-3898	5	10	+	+	PROPN
ejpam-3898	5	11	·	·	PUNCT
ejpam-3898	5	12	·	·	PUNCT
ejpam-3898	5	13	·	·	PUNCT
ejpam-3898	6	1	+	+	NUM
ejpam-3898	6	2	λ1y	λ1y	X
ejpam-3898	6	3	+	+	CCONJ
ejpam-3898	6	4	λ0	λ0	NOUN
ejpam-3898	6	5	,	,	PUNCT
ejpam-3898	6	6	such	such	ADJ
ejpam-3898	6	7	that	that	DET
ejpam-3898	6	8	λ0	λ0	NOUN
ejpam-3898	6	9	6=	6=	PRON
ejpam-3898	6	10	0	0	NUM
ejpam-3898	6	11	,	,	PUNCT
ejpam-3898	6	12	deg	deg	ADJ
ejpam-3898	6	13	λn−2	λn−2	PROPN
ejpam-3898	6	14	=	=	SYM
ejpam-3898	6	15	2	2	NUM
ejpam-3898	6	16	deg	deg	NOUN
ejpam-3898	6	17	λn−1	λn−1	PROPN
ejpam-3898	6	18	+	+	CCONJ
ejpam-3898	6	19	l	l	NOUN
ejpam-3898	6	20	>	>	X
ejpam-3898	6	21	deg	deg	PROPN
ejpam-3898	6	22	λi	λi	AUX
ejpam-3898	6	23	,	,	PUNCT
ejpam-3898	6	24	for	for	ADP
ejpam-3898	6	25	all	all	DET
ejpam-3898	6	26	i	i	PRON
ejpam-3898	6	27	6=	6=	PROPN
ejpam-3898	6	28	n−	n−	NOUN
ejpam-3898	6	29	2	2	NUM
ejpam-3898	6	30	and	and	CCONJ
ejpam-3898	6	31	odd	odd	ADJ
ejpam-3898	6	32	integer	integer	NOUN
ejpam-3898	6	33	l.	l.	PROPN
ejpam-3898	6	34	2020	2020	NUM
ejpam-3898	6	35	mathematics	mathematics	PROPN
ejpam-3898	6	36	subject	subject	NOUN
ejpam-3898	6	37	classifications	classification	NOUN
ejpam-3898	6	38	:	:	PUNCT
ejpam-3898	6	39	11r09	11r09	NUM
ejpam-3898	6	40	,	,	PUNCT
ejpam-3898	6	41	11c08	11c08	NUM
ejpam-3898	6	42	.	.	PUNCT
ejpam-3898	7	1	key	key	ADJ
ejpam-3898	7	2	words	word	NOUN
ejpam-3898	7	3	and	and	CCONJ
ejpam-3898	7	4	phrases	phrase	NOUN
ejpam-3898	7	5	:	:	PUNCT
ejpam-3898	7	6	finite	finite	PROPN
ejpam-3898	7	7	fields	field	NOUN
ejpam-3898	7	8	,	,	PUNCT
ejpam-3898	7	9	irreducible	irreducible	ADJ
ejpam-3898	7	10	polynomials	polynomial	NOUN
ejpam-3898	7	11	,	,	PUNCT
ejpam-3898	7	12	viéte	viéte	X
ejpam-3898	7	13	theorem	theorem	VERB
ejpam-3898	7	14	.	.	PROPN
ejpam-3898	7	15	1	1	NUM
ejpam-3898	7	16	.	.	X
ejpam-3898	7	17	introduction	introduction	NOUN
ejpam-3898	7	18	irreducibility	irreducibility	NOUN
ejpam-3898	7	19	of	of	ADP
ejpam-3898	7	20	polynomial	polynomial	ADJ
ejpam-3898	7	21	functions	function	NOUN
ejpam-3898	7	22	seems	seem	VERB
ejpam-3898	7	23	like	like	ADP
ejpam-3898	7	24	one	one	NUM
ejpam-3898	7	25	of	of	ADP
ejpam-3898	7	26	the	the	DET
ejpam-3898	7	27	major	major	ADJ
ejpam-3898	7	28	topics	topic	NOUN
ejpam-3898	7	29	in	in	ADP
ejpam-3898	7	30	introductory	introductory	ADJ
ejpam-3898	7	31	abstract	abstract	ADJ
ejpam-3898	7	32	algebra	algebra	NOUN
ejpam-3898	7	33	.	.	PUNCT
ejpam-3898	8	1	it	it	PRON
ejpam-3898	8	2	is	be	AUX
ejpam-3898	8	3	not	not	PART
ejpam-3898	8	4	hard	hard	ADJ
ejpam-3898	8	5	to	to	PART
ejpam-3898	8	6	see	see	VERB
ejpam-3898	8	7	,	,	PUNCT
ejpam-3898	8	8	using	use	VERB
ejpam-3898	8	9	the	the	DET
ejpam-3898	8	10	fundamental	fundamental	ADJ
ejpam-3898	8	11	theorem	theorem	NOUN
ejpam-3898	8	12	of	of	ADP
ejpam-3898	8	13	algebra	algebra	NOUN
ejpam-3898	8	14	,	,	PUNCT
ejpam-3898	8	15	that	that	SCONJ
ejpam-3898	8	16	the	the	DET
ejpam-3898	8	17	only	only	ADJ
ejpam-3898	8	18	irreducible	irreducible	ADJ
ejpam-3898	8	19	polynomials	polynomial	NOUN
ejpam-3898	8	20	in	in	ADP
ejpam-3898	8	21	c[x	c[x	NOUN
ejpam-3898	8	22	]	]	PUNCT
ejpam-3898	8	23	are	be	AUX
ejpam-3898	8	24	polynomials	polynomial	NOUN
ejpam-3898	8	25	of	of	ADP
ejpam-3898	8	26	degree	degree	NOUN
ejpam-3898	8	27	1	1	NUM
ejpam-3898	8	28	.	.	PUNCT
ejpam-3898	9	1	then	then	ADV
ejpam-3898	9	2	,	,	PUNCT
ejpam-3898	9	3	it	it	PRON
ejpam-3898	9	4	will	will	AUX
ejpam-3898	9	5	be	be	AUX
ejpam-3898	9	6	clear	clear	ADJ
ejpam-3898	9	7	that	that	SCONJ
ejpam-3898	9	8	the	the	DET
ejpam-3898	9	9	only	only	ADJ
ejpam-3898	9	10	irreducible	irreducible	ADJ
ejpam-3898	9	11	polynomials	polynomial	NOUN
ejpam-3898	9	12	in	in	ADP
ejpam-3898	9	13	r[x	r[x	NOUN
ejpam-3898	9	14	]	]	PUNCT
ejpam-3898	9	15	are	be	AUX
ejpam-3898	9	16	polynomials	polynomial	NOUN
ejpam-3898	9	17	of	of	ADP
ejpam-3898	9	18	degree	degree	NOUN
ejpam-3898	9	19	1	1	NUM
ejpam-3898	9	20	and	and	CCONJ
ejpam-3898	9	21	polynomials	polynomial	NOUN
ejpam-3898	9	22	of	of	ADP
ejpam-3898	9	23	the	the	DET
ejpam-3898	9	24	form	form	NOUN
ejpam-3898	9	25	ax2	ax2	NOUN
ejpam-3898	9	26	+	+	CCONJ
ejpam-3898	9	27	bx+	bx+	PROPN
ejpam-3898	9	28	c	c	PROPN
ejpam-3898	9	29	with	with	ADP
ejpam-3898	9	30	b2	b2	NOUN
ejpam-3898	9	31	−	−	PROPN
ejpam-3898	9	32	4ac	4ac	NOUN
ejpam-3898	9	33	<	<	X
ejpam-3898	9	34	0	0	PUNCT
ejpam-3898	10	1	[	[	X
ejpam-3898	10	2	4	4	NUM
ejpam-3898	10	3	]	]	PUNCT
ejpam-3898	10	4	.	.	PUNCT
ejpam-3898	11	1	the	the	DET
ejpam-3898	11	2	situation	situation	NOUN
ejpam-3898	11	3	over	over	ADP
ejpam-3898	11	4	q	q	NOUN
ejpam-3898	11	5	is	be	AUX
ejpam-3898	11	6	much	much	ADV
ejpam-3898	11	7	different	different	ADJ
ejpam-3898	11	8	from	from	ADP
ejpam-3898	11	9	the	the	DET
ejpam-3898	11	10	situation	situation	NOUN
ejpam-3898	11	11	over	over	ADP
ejpam-3898	11	12	r	r	NOUN
ejpam-3898	11	13	or	or	CCONJ
ejpam-3898	11	14	c.	c.	NOUN
ejpam-3898	11	15	over	over	ADP
ejpam-3898	11	16	q	q	PROPN
ejpam-3898	11	17	,	,	PUNCT
ejpam-3898	11	18	there	there	PRON
ejpam-3898	11	19	are	be	VERB
ejpam-3898	11	20	many	many	ADJ
ejpam-3898	11	21	irreducible	irreducible	ADJ
ejpam-3898	11	22	polynomials	polynomial	NOUN
ejpam-3898	11	23	of	of	ADP
ejpam-3898	11	24	every	every	DET
ejpam-3898	11	25	degree	degree	NOUN
ejpam-3898	11	26	,	,	PUNCT
ejpam-3898	11	27	and	and	CCONJ
ejpam-3898	11	28	determining	determine	VERB
ejpam-3898	11	29	which	which	DET
ejpam-3898	11	30	polynomials	polynomial	NOUN
ejpam-3898	11	31	are	be	AUX
ejpam-3898	11	32	irreducible	irreducible	ADJ
ejpam-3898	11	33	is	be	AUX
ejpam-3898	11	34	difficult	difficult	ADJ
ejpam-3898	11	35	,	,	PUNCT
ejpam-3898	11	36	compared	compare	VERB
ejpam-3898	11	37	to	to	ADP
ejpam-3898	11	38	the	the	DET
ejpam-3898	11	39	real	real	ADJ
ejpam-3898	11	40	or	or	CCONJ
ejpam-3898	11	41	complex	complex	ADJ
ejpam-3898	11	42	case	case	NOUN
ejpam-3898	11	43	.	.	PUNCT
ejpam-3898	12	1	eisenstein	eisenstein	PROPN
ejpam-3898	12	2	’s	’s	PART
ejpam-3898	12	3	criterion	criterion	NOUN
ejpam-3898	12	4	gives	give	VERB
ejpam-3898	12	5	a	a	DET
ejpam-3898	12	6	sufficient	sufficient	ADJ
ejpam-3898	12	7	condition	condition	NOUN
ejpam-3898	12	8	for	for	ADP
ejpam-3898	12	9	a	a	DET
ejpam-3898	12	10	polynomial	polynomial	NOUN
ejpam-3898	12	11	with	with	ADP
ejpam-3898	12	12	integer	integer	NOUN
ejpam-3898	12	13	coefficients	coefficient	NOUN
ejpam-3898	12	14	to	to	PART
ejpam-3898	12	15	be	be	AUX
ejpam-3898	12	16	irreducible	irreducible	ADJ
ejpam-3898	12	17	over	over	ADP
ejpam-3898	12	18	q.	q.	NOUN
ejpam-3898	12	19	this	this	DET
ejpam-3898	12	20	criterion	criterion	NOUN
ejpam-3898	12	21	is	be	AUX
ejpam-3898	12	22	very	very	ADV
ejpam-3898	12	23	nice	nice	ADJ
ejpam-3898	12	24	when	when	SCONJ
ejpam-3898	12	25	it	it	PRON
ejpam-3898	12	26	works	work	VERB
ejpam-3898	12	27	,	,	PUNCT
ejpam-3898	12	28	but	but	CCONJ
ejpam-3898	12	29	there	there	PRON
ejpam-3898	12	30	are	be	VERB
ejpam-3898	12	31	many	many	ADJ
ejpam-3898	12	32	irreducible	irreducible	ADJ
ejpam-3898	12	33	polynomials	polynomial	NOUN
ejpam-3898	12	34	to	to	PART
ejpam-3898	12	35	which	which	PRON
ejpam-3898	12	36	it	it	PRON
ejpam-3898	12	37	does	do	AUX
ejpam-3898	12	38	not	not	PART
ejpam-3898	12	39	apply	apply	VERB
ejpam-3898	12	40	.	.	PUNCT
ejpam-3898	13	1	then	then	ADV
ejpam-3898	13	2	,	,	PUNCT
ejpam-3898	13	3	to	to	PART
ejpam-3898	13	4	decide	decide	VERB
ejpam-3898	13	5	irreducibility	irreducibility	NOUN
ejpam-3898	13	6	,	,	PUNCT
ejpam-3898	13	7	one	one	PRON
ejpam-3898	13	8	can	can	AUX
ejpam-3898	13	9	try	try	VERB
ejpam-3898	13	10	another	another	DET
ejpam-3898	13	11	approaches	approach	NOUN
ejpam-3898	13	12	,	,	PUNCT
ejpam-3898	13	13	like	like	ADP
ejpam-3898	13	14	the	the	DET
ejpam-3898	13	15	so	so	ADV
ejpam-3898	13	16	called	call	VERB
ejpam-3898	13	17	”	"	PUNCT
ejpam-3898	13	18	brute	brute	ADJ
ejpam-3898	13	19	force	force	NOUN
ejpam-3898	13	20	”	"	PUNCT
ejpam-3898	13	21	[	[	X
ejpam-3898	13	22	4	4	NUM
ejpam-3898	13	23	]	]	PUNCT
ejpam-3898	13	24	.	.	PUNCT
ejpam-3898	14	1	in	in	ADP
ejpam-3898	14	2	this	this	DET
ejpam-3898	14	3	paper	paper	NOUN
ejpam-3898	14	4	,	,	PUNCT
ejpam-3898	14	5	we	we	PRON
ejpam-3898	14	6	will	will	AUX
ejpam-3898	14	7	consider	consider	VERB
ejpam-3898	14	8	the	the	DET
ejpam-3898	14	9	setting	setting	NOUN
ejpam-3898	14	10	over	over	ADP
ejpam-3898	14	11	a	a	DET
ejpam-3898	14	12	finite	finite	ADJ
ejpam-3898	14	13	field	field	NOUN
ejpam-3898	14	14	.	.	PUNCT
ejpam-3898	15	1	let	let	VERB
ejpam-3898	15	2	,	,	PUNCT
ejpam-3898	15	3	p	p	NOUN
ejpam-3898	15	4	be	be	AUX
ejpam-3898	15	5	a	a	DET
ejpam-3898	15	6	prime	prime	NOUN
ejpam-3898	15	7	and	and	CCONJ
ejpam-3898	15	8	q	q	DET
ejpam-3898	15	9	a	a	DET
ejpam-3898	15	10	power	power	NOUN
ejpam-3898	15	11	of	of	ADP
ejpam-3898	15	12	p.	p.	NOUN
ejpam-3898	15	13	let	let	VERB
ejpam-3898	15	14	fq	fq	PRON
ejpam-3898	15	15	be	be	AUX
ejpam-3898	15	16	a	a	DET
ejpam-3898	15	17	finite	finite	ADJ
ejpam-3898	15	18	field	field	NOUN
ejpam-3898	15	19	with	with	ADP
ejpam-3898	15	20	q	q	ADJ
ejpam-3898	15	21	elements	element	NOUN
ejpam-3898	15	22	of	of	ADP
ejpam-3898	15	23	characteristic	characteristic	ADJ
ejpam-3898	15	24	p.	p.	NOUN
ejpam-3898	16	1	it	it	PRON
ejpam-3898	16	2	is	be	AUX
ejpam-3898	16	3	known	know	VERB
ejpam-3898	16	4	that	that	SCONJ
ejpam-3898	16	5	there	there	PRON
ejpam-3898	16	6	are	be	VERB
ejpam-3898	16	7	no	no	PRON
ejpam-3898	16	8	explicitly	explicitly	ADV
ejpam-3898	16	9	formula	formula	NOUN
ejpam-3898	16	10	discribing	discribing	NOUN
ejpam-3898	16	11	irreduciblility	irreduciblility	NOUN
ejpam-3898	16	12	of	of	ADP
ejpam-3898	16	13	polynomials	polynomial	NOUN
ejpam-3898	16	14	over	over	ADP
ejpam-3898	16	15	fq	fq	PROPN
ejpam-3898	16	16	.	.	PROPN
ejpam-3898	17	1	wherefore	wherefore	PROPN
ejpam-3898	17	2	,	,	PUNCT
ejpam-3898	17	3	we	we	PRON
ejpam-3898	17	4	still	still	ADV
ejpam-3898	17	5	need	need	VERB
ejpam-3898	17	6	to	to	PART
ejpam-3898	17	7	provides	provide	VERB
ejpam-3898	17	8	methods	method	NOUN
ejpam-3898	17	9	to	to	PART
ejpam-3898	17	10	decide	decide	VERB
ejpam-3898	17	11	if	if	SCONJ
ejpam-3898	17	12	a	a	DET
ejpam-3898	17	13	polynomial	polynomial	NOUN
ejpam-3898	17	14	over	over	ADP
ejpam-3898	17	15	fq	fq	PROPN
ejpam-3898	17	16	is	be	AUX
ejpam-3898	17	17	irreducible	irreducible	ADJ
ejpam-3898	17	18	.	.	PUNCT
ejpam-3898	18	1	∗corresponding	∗corresponde	VERB
ejpam-3898	18	2	author	author	NOUN
ejpam-3898	18	3	.	.	PUNCT
ejpam-3898	19	1	doi	doi	NOUN
ejpam-3898	19	2	:	:	PUNCT
ejpam-3898	19	3	https://doi.org/10.29020/nybg.ejpam.v14i1.3898	https://doi.org/10.29020/nybg.ejpam.v14i1.3898	PRON
ejpam-3898	19	4	email	email	NOUN
ejpam-3898	19	5	addresses	address	NOUN
ejpam-3898	19	6	:	:	PUNCT
ejpam-3898	19	7	amarachandoul@yahoo.fr	amarachandoul@yahoo.fr	PROPN
ejpam-3898	19	8	(	(	PUNCT
ejpam-3898	19	9	a.	a.	NOUN
ejpam-3898	19	10	chandoul	chandoul	PROPN
ejpam-3898	19	11	)	)	PUNCT
ejpam-3898	19	12	,	,	PUNCT
ejpam-3898	19	13	amsibih@uqu.edu.sa	amsibih@uqu.edu.sa	PROPN
ejpam-3898	19	14	(	(	PUNCT
ejpam-3898	19	15	a.	a.	NOUN
ejpam-3898	19	16	m.	m.	NOUN
ejpam-3898	19	17	sibih	sibih	PROPN
ejpam-3898	19	18	)	)	PUNCT
ejpam-3898	19	19	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-3898	20	1	265	265	NUM
ejpam-3898	20	2	c	c	AUX
ejpam-3898	20	3	©	©	PROPN
ejpam-3898	20	4	2021	2021	NUM
ejpam-3898	20	5	ejpam	ejpam	VERB
ejpam-3898	20	6	all	all	DET
ejpam-3898	20	7	rights	right	NOUN
ejpam-3898	20	8	reserved	reserve	VERB
ejpam-3898	20	9	.	.	PUNCT
ejpam-3898	21	1	a.	a.	PROPN
ejpam-3898	21	2	chandoul	chandoul	PROPN
ejpam-3898	21	3	,	,	PUNCT
ejpam-3898	21	4	a.	a.	NOUN
ejpam-3898	21	5	m.	m.	NOUN
ejpam-3898	21	6	sibih	sibih	PROPN
ejpam-3898	21	7	/	/	SYM
ejpam-3898	21	8	eur	eur	PROPN
ejpam-3898	21	9	.	.	PUNCT
ejpam-3898	22	1	j.	j.	PROPN
ejpam-3898	22	2	pure	pure	PROPN
ejpam-3898	22	3	appl	appl	PROPN
ejpam-3898	22	4	.	.	PROPN
ejpam-3898	22	5	math	math	PROPN
ejpam-3898	22	6	,	,	PUNCT
ejpam-3898	22	7	14	14	NUM
ejpam-3898	22	8	(	(	PUNCT
ejpam-3898	22	9	1	1	NUM
ejpam-3898	22	10	)	)	PUNCT
ejpam-3898	22	11	(	(	PUNCT
ejpam-3898	22	12	2021	2021	NUM
ejpam-3898	22	13	)	)	PUNCT
ejpam-3898	22	14	,	,	PUNCT
ejpam-3898	22	15	265	265	NUM
ejpam-3898	22	16	-	-	SYM
ejpam-3898	22	17	267	267	NUM
ejpam-3898	22	18	266	266	NUM
ejpam-3898	22	19	irreducible	irreducible	ADJ
ejpam-3898	22	20	polynomials	polynomial	NOUN
ejpam-3898	22	21	over	over	ADP
ejpam-3898	22	22	fq	fq	PROPN
ejpam-3898	22	23	,	,	PUNCT
ejpam-3898	22	24	are	be	AUX
ejpam-3898	22	25	used	use	VERB
ejpam-3898	22	26	for	for	ADP
ejpam-3898	22	27	many	many	ADJ
ejpam-3898	22	28	applications	application	NOUN
ejpam-3898	22	29	in	in	ADP
ejpam-3898	22	30	mathematics	mathematic	NOUN
ejpam-3898	22	31	.	.	PUNCT
ejpam-3898	23	1	they	they	PRON
ejpam-3898	23	2	are	be	AUX
ejpam-3898	23	3	used	use	VERB
ejpam-3898	23	4	to	to	PART
ejpam-3898	23	5	carry	carry	VERB
ejpam-3898	23	6	out	out	ADP
ejpam-3898	23	7	the	the	DET
ejpam-3898	23	8	arithmetic	arithmetic	NOUN
ejpam-3898	23	9	in	in	ADP
ejpam-3898	23	10	field	field	NOUN
ejpam-3898	23	11	extension	extension	NOUN
ejpam-3898	23	12	of	of	ADP
ejpam-3898	23	13	fq	fq	PROPN
ejpam-3898	24	1	[	[	X
ejpam-3898	24	2	6	6	NUM
ejpam-3898	24	3	]	]	PUNCT
ejpam-3898	24	4	.	.	PUNCT
ejpam-3898	25	1	computations	computation	NOUN
ejpam-3898	25	2	in	in	ADP
ejpam-3898	25	3	such	such	ADJ
ejpam-3898	25	4	extensions	extension	NOUN
ejpam-3898	25	5	occur	occur	VERB
ejpam-3898	25	6	in	in	ADP
ejpam-3898	25	7	coding	code	VERB
ejpam-3898	25	8	theory	theory	NOUN
ejpam-3898	25	9	[	[	X
ejpam-3898	25	10	1	1	NUM
ejpam-3898	25	11	]	]	PUNCT
ejpam-3898	25	12	,	,	PUNCT
ejpam-3898	25	13	complexity	complexity	NOUN
ejpam-3898	25	14	theory	theory	NOUN
ejpam-3898	25	15	[	[	X
ejpam-3898	25	16	7	7	NUM
ejpam-3898	25	17	]	]	PUNCT
ejpam-3898	25	18	and	and	CCONJ
ejpam-3898	25	19	cryptography	cryptography	NOUN
ejpam-3898	26	1	[	[	X
ejpam-3898	26	2	5	5	NUM
ejpam-3898	26	3	]	]	PUNCT
ejpam-3898	26	4	.	.	PUNCT
ejpam-3898	27	1	random	random	ADJ
ejpam-3898	27	2	polynomial	polynomial	ADJ
ejpam-3898	27	3	time	time	NOUN
ejpam-3898	27	4	algorithms	algorithm	NOUN
ejpam-3898	27	5	exist	exist	VERB
ejpam-3898	27	6	for	for	ADP
ejpam-3898	27	7	finding	find	VERB
ejpam-3898	27	8	irreducible	irreducible	ADJ
ejpam-3898	27	9	polynomials	polynomial	NOUN
ejpam-3898	27	10	of	of	ADP
ejpam-3898	27	11	any	any	DET
ejpam-3898	27	12	degree	degree	NOUN
ejpam-3898	27	13	over	over	ADP
ejpam-3898	27	14	fq	fq	PROPN
ejpam-3898	27	15	,	,	PUNCT
ejpam-3898	27	16	[	[	X
ejpam-3898	27	17	2	2	NUM
ejpam-3898	27	18	,	,	PUNCT
ejpam-3898	27	19	7	7	NUM
ejpam-3898	27	20	]	]	PUNCT
ejpam-3898	27	21	,	,	PUNCT
ejpam-3898	27	22	and	and	CCONJ
ejpam-3898	27	23	so	so	ADV
ejpam-3898	27	24	as	as	ADP
ejpam-3898	27	25	a	a	DET
ejpam-3898	27	26	practical	practical	ADJ
ejpam-3898	27	27	matter	matter	NOUN
ejpam-3898	27	28	the	the	DET
ejpam-3898	27	29	problem	problem	NOUN
ejpam-3898	27	30	is	be	AUX
ejpam-3898	27	31	solved	solve	VERB
ejpam-3898	27	32	.	.	PUNCT
ejpam-3898	28	1	however	however	ADV
ejpam-3898	28	2	,	,	PUNCT
ejpam-3898	28	3	the	the	DET
ejpam-3898	28	4	deterministic	deterministic	ADJ
ejpam-3898	28	5	complexity	complexity	NOUN
ejpam-3898	28	6	of	of	ADP
ejpam-3898	28	7	the	the	DET
ejpam-3898	28	8	problem	problem	NOUN
ejpam-3898	28	9	has	have	VERB
ejpam-3898	28	10	yet	yet	ADV
ejpam-3898	28	11	to	to	PART
ejpam-3898	28	12	be	be	AUX
ejpam-3898	28	13	established	establish	VERB
ejpam-3898	28	14	.	.	PUNCT
ejpam-3898	29	1	in	in	ADP
ejpam-3898	29	2	[	[	X
ejpam-3898	29	3	2	2	NUM
ejpam-3898	29	4	,	,	PUNCT
ejpam-3898	29	5	3	3	NUM
ejpam-3898	29	6	]	]	PUNCT
ejpam-3898	29	7	,	,	PUNCT
ejpam-3898	29	8	it	it	PRON
ejpam-3898	29	9	was	be	AUX
ejpam-3898	29	10	proved	prove	VERB
ejpam-3898	29	11	the	the	DET
ejpam-3898	29	12	following	follow	VERB
ejpam-3898	29	13	theorem	theorem	VERB
ejpam-3898	29	14	,	,	PUNCT
ejpam-3898	29	15	which	which	PRON
ejpam-3898	29	16	gives	give	VERB
ejpam-3898	29	17	an	an	DET
ejpam-3898	29	18	irreducibility	irreducibility	NOUN
ejpam-3898	29	19	criterion	criterion	NOUN
ejpam-3898	29	20	over	over	ADP
ejpam-3898	29	21	fq[x	fq[x	PROPN
ejpam-3898	29	22	]	]	PUNCT
ejpam-3898	29	23	.	.	PUNCT
ejpam-3898	30	1	theorem	theorem	NOUN
ejpam-3898	30	2	1	1	X
ejpam-3898	30	3	.	.	PUNCT
ejpam-3898	31	1	let	let	VERB
ejpam-3898	31	2	p	p	NOUN
ejpam-3898	31	3	(	(	PUNCT
ejpam-3898	31	4	y	y	PROPN
ejpam-3898	31	5	)	)	PUNCT
ejpam-3898	32	1	=	=	PUNCT
ejpam-3898	32	2	y	y	PROPN
ejpam-3898	32	3	n+an−1y	n+an−1y	PROPN
ejpam-3898	32	4	n−1+an−2y	n−1+an−2y	PROPN
ejpam-3898	32	5	n−2	n−2	PROPN
ejpam-3898	32	6	+	+	PROPN
ejpam-3898	32	7	·	·	PUNCT
ejpam-3898	32	8	·	·	PUNCT
ejpam-3898	32	9	·	·	PUNCT
ejpam-3898	33	1	+	+	NOUN
ejpam-3898	33	2	a0	a0	NOUN
ejpam-3898	33	3	with	with	ADP
ejpam-3898	33	4	ai	ai	PROPN
ejpam-3898	33	5	∈	∈	PROPN
ejpam-3898	33	6	fq[x	fq[x	PROPN
ejpam-3898	33	7	]	]	PUNCT
ejpam-3898	33	8	,	,	PUNCT
ejpam-3898	33	9	a0	a0	PROPN
ejpam-3898	33	10	6=	6=	ADP
ejpam-3898	33	11	0	0	NUM
ejpam-3898	33	12	and	and	CCONJ
ejpam-3898	33	13	degan−1	degan−1	PROPN
ejpam-3898	33	14	>	>	X
ejpam-3898	33	15	degai	degai	NOUN
ejpam-3898	33	16	,	,	PUNCT
ejpam-3898	33	17	for	for	ADP
ejpam-3898	33	18	each	each	DET
ejpam-3898	33	19	i	i	PROPN
ejpam-3898	33	20	6=	6=	PROPN
ejpam-3898	33	21	n−	n−	NOUN
ejpam-3898	33	22	1	1	NUM
ejpam-3898	33	23	.	.	PUNCT
ejpam-3898	34	1	then	then	ADV
ejpam-3898	34	2	p	p	X
ejpam-3898	34	3	(	(	PUNCT
ejpam-3898	34	4	y	y	PROPN
ejpam-3898	34	5	)	)	PUNCT
ejpam-3898	34	6	is	be	AUX
ejpam-3898	34	7	irreducible	irreducible	ADJ
ejpam-3898	34	8	over	over	ADP
ejpam-3898	34	9	fq[x	fq[x	PROPN
ejpam-3898	34	10	]	]	PUNCT
ejpam-3898	34	11	.	.	PUNCT
ejpam-3898	35	1	in	in	ADP
ejpam-3898	35	2	the	the	DET
ejpam-3898	35	3	following	following	NOUN
ejpam-3898	35	4	,	,	PUNCT
ejpam-3898	35	5	we	we	PRON
ejpam-3898	35	6	want	want	VERB
ejpam-3898	35	7	to	to	PART
ejpam-3898	35	8	extend	extend	VERB
ejpam-3898	35	9	this	this	DET
ejpam-3898	35	10	result	result	NOUN
ejpam-3898	35	11	,	,	PUNCT
ejpam-3898	35	12	in	in	ADP
ejpam-3898	35	13	order	order	NOUN
ejpam-3898	35	14	to	to	PART
ejpam-3898	35	15	define	define	VERB
ejpam-3898	35	16	a	a	DET
ejpam-3898	35	17	new	new	ADJ
ejpam-3898	35	18	family	family	NOUN
ejpam-3898	35	19	of	of	ADP
ejpam-3898	35	20	irreducible	irreducible	ADJ
ejpam-3898	35	21	polynomials	polynomial	NOUN
ejpam-3898	35	22	over	over	ADP
ejpam-3898	35	23	fq[x	fq[x	PROPN
ejpam-3898	35	24	]	]	PUNCT
ejpam-3898	35	25	.	.	PUNCT
ejpam-3898	36	1	2	2	X
ejpam-3898	36	2	.	.	X
ejpam-3898	36	3	main	main	ADJ
ejpam-3898	36	4	result	result	NOUN
ejpam-3898	36	5	we	we	PRON
ejpam-3898	36	6	present	present	VERB
ejpam-3898	36	7	the	the	DET
ejpam-3898	36	8	following	follow	VERB
ejpam-3898	36	9	result	result	NOUN
ejpam-3898	36	10	:	:	PUNCT
ejpam-3898	36	11	theorem	theorem	NOUN
ejpam-3898	36	12	2	2	NUM
ejpam-3898	36	13	.	.	PUNCT
ejpam-3898	37	1	let	let	VERB
ejpam-3898	37	2	p	p	NOUN
ejpam-3898	37	3	(	(	PUNCT
ejpam-3898	37	4	y	y	PROPN
ejpam-3898	37	5	)	)	PUNCT
ejpam-3898	38	1	=	=	PUNCT
ejpam-3898	39	1	y	y	PROPN
ejpam-3898	39	2	n+λn−1y	n+λn−1y	NOUN
ejpam-3898	39	3	n−1+λn−2y	n−1+λn−2y	ADP
ejpam-3898	39	4	n−2	n−2	PROPN
ejpam-3898	39	5	+	+	PROPN
ejpam-3898	39	6	·	·	PUNCT
ejpam-3898	39	7	·	·	PUNCT
ejpam-3898	39	8	·	·	PUNCT
ejpam-3898	39	9	+	+	PUNCT
ejpam-3898	39	10	λ1y	λ1y	X
ejpam-3898	39	11	+	+	ADJ
ejpam-3898	39	12	λ0	λ0	NOUN
ejpam-3898	39	13	be	be	VERB
ejpam-3898	39	14	a	a	DET
ejpam-3898	39	15	polynomial	polynomial	NOUN
ejpam-3898	39	16	over	over	ADP
ejpam-3898	39	17	fq[x	fq[x	PROPN
ejpam-3898	39	18	]	]	PUNCT
ejpam-3898	39	19	,	,	PUNCT
ejpam-3898	39	20	such	such	ADJ
ejpam-3898	39	21	that	that	DET
ejpam-3898	39	22	λ0	λ0	NOUN
ejpam-3898	39	23	6=	6=	PRON
ejpam-3898	39	24	0	0	NUM
ejpam-3898	39	25	,	,	PUNCT
ejpam-3898	39	26	deg	deg	PROPN
ejpam-3898	39	27	λn−2	λn−2	PROPN
ejpam-3898	39	28	>	>	X
ejpam-3898	39	29	deg	deg	PROPN
ejpam-3898	39	30	λi	λi	ADP
ejpam-3898	39	31	,	,	PUNCT
ejpam-3898	39	32	for	for	ADP
ejpam-3898	39	33	each	each	DET
ejpam-3898	39	34	i	i	PROPN
ejpam-3898	39	35	6=	6=	PROPN
ejpam-3898	39	36	n−2	n−2	PROPN
ejpam-3898	39	37	.	.	PUNCT
ejpam-3898	40	1	if	if	SCONJ
ejpam-3898	40	2	deg	deg	ADJ
ejpam-3898	40	3	λn−2	λn−2	PROPN
ejpam-3898	40	4	=	=	SYM
ejpam-3898	40	5	2	2	NUM
ejpam-3898	40	6	deg	deg	NOUN
ejpam-3898	40	7	λn−1+l	λn−1+l	NOUN
ejpam-3898	40	8	,	,	PUNCT
ejpam-3898	40	9	with	with	ADP
ejpam-3898	40	10	l	l	NOUN
ejpam-3898	40	11	is	be	AUX
ejpam-3898	40	12	odd	odd	ADJ
ejpam-3898	40	13	,	,	PUNCT
ejpam-3898	40	14	then	then	ADV
ejpam-3898	40	15	p	p	NOUN
ejpam-3898	40	16	is	be	AUX
ejpam-3898	40	17	irreducible	irreducible	ADJ
ejpam-3898	40	18	.	.	PUNCT
ejpam-3898	41	1	proof	proof	NOUN
ejpam-3898	41	2	.	.	PUNCT
ejpam-3898	42	1	using	use	VERB
ejpam-3898	42	2	viéte	viéte	X
ejpam-3898	42	3	theorem	theorem	PROPN
ejpam-3898	42	4	,	,	PUNCT
ejpam-3898	42	5	which	which	PRON
ejpam-3898	42	6	establishes	establish	VERB
ejpam-3898	42	7	relations	relation	NOUN
ejpam-3898	42	8	between	between	ADP
ejpam-3898	42	9	the	the	DET
ejpam-3898	42	10	roots	root	NOUN
ejpam-3898	42	11	and	and	CCONJ
ejpam-3898	42	12	the	the	DET
ejpam-3898	42	13	coefficients	coefficient	NOUN
ejpam-3898	42	14	of	of	ADP
ejpam-3898	42	15	a	a	DET
ejpam-3898	42	16	polynomial	polynomial	ADJ
ejpam-3898	42	17	,	,	PUNCT
ejpam-3898	42	18	one	one	PRON
ejpam-3898	42	19	can	can	AUX
ejpam-3898	42	20	easily	easily	ADV
ejpam-3898	42	21	see	see	VERB
ejpam-3898	42	22	that	that	SCONJ
ejpam-3898	42	23	if	if	SCONJ
ejpam-3898	42	24	w	w	PROPN
ejpam-3898	42	25	=	=	NOUN
ejpam-3898	42	26	w1	w1	NOUN
ejpam-3898	42	27	,	,	PUNCT
ejpam-3898	42	28	w2	w2	NOUN
ejpam-3898	42	29	,	,	PUNCT
ejpam-3898	42	30	·	·	PUNCT
ejpam-3898	42	31	·	·	PUNCT
ejpam-3898	42	32	·	·	PUNCT
ejpam-3898	42	33	,	,	PUNCT
ejpam-3898	42	34	wn	wn	INTJ
ejpam-3898	42	35	be	be	AUX
ejpam-3898	42	36	the	the	DET
ejpam-3898	42	37	roots	root	NOUN
ejpam-3898	42	38	of	of	ADP
ejpam-3898	42	39	p	p	NOUN
ejpam-3898	42	40	,	,	PUNCT
ejpam-3898	42	41	then	then	ADV
ejpam-3898	42	42	we	we	PRON
ejpam-3898	42	43	have	have	VERB
ejpam-3898	42	44	exactly	exactly	ADV
ejpam-3898	42	45	2	2	NUM
ejpam-3898	42	46	of	of	ADP
ejpam-3898	42	47	its	its	PRON
ejpam-3898	42	48	,	,	PUNCT
ejpam-3898	42	49	with	with	ADP
ejpam-3898	42	50	modulus	modulus	NOUN
ejpam-3898	42	51	strictly	strictly	ADV
ejpam-3898	42	52	greater	great	ADJ
ejpam-3898	42	53	than	than	ADP
ejpam-3898	42	54	1	1	NUM
ejpam-3898	42	55	.	.	PUNCT
ejpam-3898	42	56	suppose	suppose	VERB
ejpam-3898	42	57	now	now	ADV
ejpam-3898	42	58	,	,	PUNCT
ejpam-3898	43	1	that	that	SCONJ
ejpam-3898	43	2	p	p	X
ejpam-3898	43	3	(	(	PUNCT
ejpam-3898	43	4	y	y	PROPN
ejpam-3898	43	5	)	)	PUNCT
ejpam-3898	43	6	=	=	PUNCT
ejpam-3898	44	1	q1(y	q1(y	PROPN
ejpam-3898	44	2	)	)	PUNCT
ejpam-3898	44	3	q2(y	q2(y	PROPN
ejpam-3898	44	4	)	)	PUNCT
ejpam-3898	44	5	,	,	PUNCT
ejpam-3898	44	6	where	where	SCONJ
ejpam-3898	44	7	q1	q1	PROPN
ejpam-3898	44	8	and	and	CCONJ
ejpam-3898	44	9	q2	q2	NOUN
ejpam-3898	44	10	are	be	AUX
ejpam-3898	44	11	in	in	ADP
ejpam-3898	44	12	fq[x][y	fq[x][y	NOUN
ejpam-3898	44	13	]	]	PUNCT
ejpam-3898	44	14	.	.	PUNCT
ejpam-3898	45	1	we	we	PRON
ejpam-3898	45	2	can	can	AUX
ejpam-3898	45	3	not	not	PART
ejpam-3898	45	4	suppose	suppose	VERB
ejpam-3898	45	5	that	that	SCONJ
ejpam-3898	45	6	the	the	DET
ejpam-3898	45	7	roots	root	NOUN
ejpam-3898	45	8	w1	w1	NOUN
ejpam-3898	45	9	,	,	PUNCT
ejpam-3898	45	10	w2	w2	NOUN
ejpam-3898	45	11	of	of	ADP
ejpam-3898	45	12	p	p	NOUN
ejpam-3898	45	13	,	,	PUNCT
ejpam-3898	45	14	with	with	ADP
ejpam-3898	45	15	modulus	modulus	NOUN
ejpam-3898	45	16	strictly	strictly	ADV
ejpam-3898	45	17	greater	great	ADJ
ejpam-3898	45	18	than	than	ADP
ejpam-3898	45	19	1	1	NUM
ejpam-3898	45	20	are	be	AUX
ejpam-3898	45	21	roots	root	NOUN
ejpam-3898	45	22	of	of	ADP
ejpam-3898	45	23	q1	q1	NOUN
ejpam-3898	45	24	,	,	PUNCT
ejpam-3898	45	25	cause	cause	NOUN
ejpam-3898	45	26	of	of	ADP
ejpam-3898	45	27	the	the	DET
ejpam-3898	45	28	absolute	absolute	ADJ
ejpam-3898	45	29	value	value	NOUN
ejpam-3898	45	30	of	of	ADP
ejpam-3898	45	31	the	the	DET
ejpam-3898	45	32	leading	leading	ADJ
ejpam-3898	45	33	coefficient	coefficient	NOUN
ejpam-3898	45	34	of	of	ADP
ejpam-3898	45	35	the	the	DET
ejpam-3898	45	36	polynomial	polynomial	ADJ
ejpam-3898	45	37	q2	q2	NOUN
ejpam-3898	45	38	is	be	AUX
ejpam-3898	45	39	superior	superior	ADJ
ejpam-3898	45	40	or	or	CCONJ
ejpam-3898	45	41	equal	equal	ADJ
ejpam-3898	45	42	1	1	NUM
ejpam-3898	45	43	,	,	PUNCT
ejpam-3898	45	44	which	which	PRON
ejpam-3898	45	45	will	will	AUX
ejpam-3898	45	46	be	be	AUX
ejpam-3898	45	47	absurd	absurd	ADJ
ejpam-3898	45	48	because	because	SCONJ
ejpam-3898	45	49	q2	q2	NOUN
ejpam-3898	45	50	has	have	VERB
ejpam-3898	45	51	only	only	ADV
ejpam-3898	45	52	roots	root	NOUN
ejpam-3898	45	53	with	with	ADP
ejpam-3898	45	54	modulus	modulus	NOUN
ejpam-3898	45	55	strictly	strictly	ADV
ejpam-3898	45	56	less	less	ADJ
ejpam-3898	45	57	than	than	ADP
ejpam-3898	45	58	1	1	NUM
ejpam-3898	45	59	.	.	PUNCT
ejpam-3898	46	1	so	so	ADV
ejpam-3898	46	2	,	,	PUNCT
ejpam-3898	46	3	suppose	suppose	VERB
ejpam-3898	46	4	that	that	SCONJ
ejpam-3898	46	5	w1	w1	NOUN
ejpam-3898	46	6	is	be	AUX
ejpam-3898	46	7	a	a	DET
ejpam-3898	46	8	root	root	NOUN
ejpam-3898	46	9	of	of	ADP
ejpam-3898	46	10	q1	q1	PROPN
ejpam-3898	46	11	and	and	CCONJ
ejpam-3898	46	12	w2	w2	NOUN
ejpam-3898	46	13	is	be	AUX
ejpam-3898	46	14	a	a	DET
ejpam-3898	46	15	root	root	NOUN
ejpam-3898	46	16	of	of	ADP
ejpam-3898	46	17	q2	q2	NOUN
ejpam-3898	46	18	.	.	PUNCT
ejpam-3898	47	1	let	let	VERB
ejpam-3898	47	2	p	p	NOUN
ejpam-3898	47	3	(	(	PUNCT
ejpam-3898	47	4	y	y	PROPN
ejpam-3898	47	5	)	)	PUNCT
ejpam-3898	48	1	=	=	PUNCT
ejpam-3898	48	2	q1(y	q1(y	PROPN
ejpam-3898	48	3	)	)	PUNCT
ejpam-3898	48	4	q2(y	q2(y	PROPN
ejpam-3898	48	5	)	)	PUNCT
ejpam-3898	48	6	,	,	PUNCT
ejpam-3898	48	7	with	with	ADP
ejpam-3898	48	8	q1(x	q1(x	NOUN
ejpam-3898	48	9	)	)	PUNCT
ejpam-3898	49	1	=	=	SYM
ejpam-3898	49	2	y	y	PROPN
ejpam-3898	49	3	s	s	PART
ejpam-3898	50	1	+	+	ADJ
ejpam-3898	50	2	as−1y	as−1y	ADJ
ejpam-3898	50	3	s−1	s−1	PROPN
ejpam-3898	50	4	+	+	PROPN
ejpam-3898	50	5	as−2y	as−2y	PROPN
ejpam-3898	50	6	s−2	s−2	PROPN
ejpam-3898	50	7	+	+	CCONJ
ejpam-3898	50	8	·	·	PUNCT
ejpam-3898	50	9	·	·	PUNCT
ejpam-3898	50	10	·	·	PUNCT
ejpam-3898	50	11	·	·	PUNCT
ejpam-3898	50	12	·	·	PUNCT
ejpam-3898	50	13	·	·	PUNCT
ejpam-3898	50	14	+	+	ADJ
ejpam-3898	50	15	a1y	a1y	NOUN
ejpam-3898	50	16	+	+	ADJ
ejpam-3898	50	17	a0	a0	NOUN
ejpam-3898	50	18	and	and	CCONJ
ejpam-3898	50	19	q2(x	q2(x	PROPN
ejpam-3898	50	20	)	)	PUNCT
ejpam-3898	50	21	=	=	SYM
ejpam-3898	51	1	y	y	PROPN
ejpam-3898	51	2	m	m	VERB
ejpam-3898	51	3	+	+	ADJ
ejpam-3898	51	4	bm−1y	bm−1y	PROPN
ejpam-3898	51	5	m−1	m−1	PROPN
ejpam-3898	52	1	+	+	ADP
ejpam-3898	52	2	bm−2y	bm−2y	PROPN
ejpam-3898	52	3	m−2	m−2	PROPN
ejpam-3898	52	4	+	+	CCONJ
ejpam-3898	52	5	·	·	PUNCT
ejpam-3898	52	6	·	·	PUNCT
ejpam-3898	52	7	·	·	PUNCT
ejpam-3898	52	8	+	+	X
ejpam-3898	52	9	b1y	b1y	PROPN
ejpam-3898	52	10	+	+	ADJ
ejpam-3898	52	11	b0	b0	NOUN
ejpam-3898	52	12	.	.	PUNCT
ejpam-3898	53	1	it	it	PRON
ejpam-3898	53	2	is	be	AUX
ejpam-3898	53	3	clear	clear	ADJ
ejpam-3898	53	4	that	that	SCONJ
ejpam-3898	53	5	degas−1	degas−1	NOUN
ejpam-3898	53	6	>	>	X
ejpam-3898	53	7	degaj	degaj	NOUN
ejpam-3898	53	8	,	,	PUNCT
ejpam-3898	53	9	for	for	ADP
ejpam-3898	53	10	all	all	DET
ejpam-3898	53	11	1	1	NUM
ejpam-3898	53	12	≤	≤	NUM
ejpam-3898	53	13	j	j	PROPN
ejpam-3898	53	14	≤	≤	PROPN
ejpam-3898	53	15	s	s	PROPN
ejpam-3898	53	16	,	,	PUNCT
ejpam-3898	53	17	and	and	CCONJ
ejpam-3898	53	18	degbm−1	degbm−1	NOUN
ejpam-3898	53	19	>	>	SYM
ejpam-3898	53	20	degbk	degbk	NOUN
ejpam-3898	53	21	,	,	PUNCT
ejpam-3898	53	22	for	for	ADP
ejpam-3898	53	23	all	all	DET
ejpam-3898	53	24	references	reference	NOUN
ejpam-3898	53	25	267	267	NUM
ejpam-3898	53	26	1	1	NUM
ejpam-3898	53	27	≤	≤	NUM
ejpam-3898	53	28	k	k	PROPN
ejpam-3898	53	29	≤	≤	PROPN
ejpam-3898	53	30	m.	m.	NOUN
ejpam-3898	53	31	a	a	DET
ejpam-3898	53	32	simple	simple	ADJ
ejpam-3898	53	33	calculation	calculation	NOUN
ejpam-3898	53	34	gives	give	VERB
ejpam-3898	53	35	λn−1	λn−1	PROPN
ejpam-3898	53	36	=	=	SYM
ejpam-3898	53	37	as−1	as−1	PROPN
ejpam-3898	53	38	+	+	NOUN
ejpam-3898	53	39	bm−1	bm−1	NOUN
ejpam-3898	53	40	and	and	CCONJ
ejpam-3898	53	41	λn−2	λn−2	PROPN
ejpam-3898	53	42	=	=	SYM
ejpam-3898	53	43	as−1bm−1	as−1bm−1	PROPN
ejpam-3898	54	1	+	+	NOUN
ejpam-3898	54	2	as−2	as−2	VERB
ejpam-3898	54	3	+	+	PROPN
ejpam-3898	54	4	bm−2	bm−2	PROPN
ejpam-3898	54	5	,	,	PUNCT
ejpam-3898	54	6	which	which	PRON
ejpam-3898	54	7	implies	imply	VERB
ejpam-3898	54	8	deg	deg	PROPN
ejpam-3898	54	9	λn−1	λn−1	PROPN
ejpam-3898	54	10	=	=	SYM
ejpam-3898	54	11	sup(degas−1,degbm−1	sup(degas−1,degbm−1	PROPN
ejpam-3898	54	12	)	)	PUNCT
ejpam-3898	54	13	and	and	CCONJ
ejpam-3898	54	14	deg	deg	VERB
ejpam-3898	54	15	λn−2	λn−2	PROPN
ejpam-3898	54	16	=	=	SYM
ejpam-3898	54	17	degas−1	degas−1	PROPN
ejpam-3898	54	18	+	+	X
ejpam-3898	54	19	degbm−1	degbm−1	NOUN
ejpam-3898	54	20	.	.	PUNCT
ejpam-3898	55	1	one	one	PRON
ejpam-3898	55	2	can	can	AUX
ejpam-3898	55	3	easily	easily	ADV
ejpam-3898	55	4	see	see	VERB
ejpam-3898	55	5	,	,	PUNCT
ejpam-3898	55	6	that	that	SCONJ
ejpam-3898	55	7	we	we	PRON
ejpam-3898	55	8	have	have	VERB
ejpam-3898	55	9	two	two	NUM
ejpam-3898	55	10	cases	case	NOUN
ejpam-3898	55	11	:	:	PUNCT
ejpam-3898	55	12	first	first	ADJ
ejpam-3898	55	13	case	case	NOUN
ejpam-3898	55	14	:	:	PUNCT
ejpam-3898	55	15	if	if	SCONJ
ejpam-3898	55	16	degas−1	degas−1	PROPN
ejpam-3898	55	17	>	>	SYM
ejpam-3898	55	18	degbm−1	degbm−1	PROPN
ejpam-3898	55	19	,	,	PUNCT
ejpam-3898	55	20	then	then	ADV
ejpam-3898	55	21	,	,	PUNCT
ejpam-3898	55	22	we	we	PRON
ejpam-3898	55	23	have	have	AUX
ejpam-3898	55	24	deg	deg	VERB
ejpam-3898	55	25	λn−1	λn−1	PROPN
ejpam-3898	55	26	=	=	SYM
ejpam-3898	55	27	degas−1	degas−1	PROPN
ejpam-3898	55	28	and	and	CCONJ
ejpam-3898	55	29	deg	deg	NOUN
ejpam-3898	55	30	λn−2	λn−2	PROPN
ejpam-3898	55	31	<	<	X
ejpam-3898	55	32	2	2	NUM
ejpam-3898	55	33	deg	deg	X
ejpam-3898	55	34	λn−1	λn−1	PROPN
ejpam-3898	55	35	,	,	PUNCT
ejpam-3898	55	36	which	which	PRON
ejpam-3898	55	37	is	be	AUX
ejpam-3898	55	38	absurd	absurd	ADJ
ejpam-3898	55	39	because	because	SCONJ
ejpam-3898	55	40	deg	deg	ADJ
ejpam-3898	55	41	λn−2	λn−2	PROPN
ejpam-3898	55	42	=	=	SYM
ejpam-3898	55	43	2	2	NUM
ejpam-3898	55	44	deg	deg	NOUN
ejpam-3898	55	45	λn−1	λn−1	PROPN
ejpam-3898	55	46	+	+	CCONJ
ejpam-3898	55	47	l.	l.	PROPN
ejpam-3898	55	48	second	second	ADJ
ejpam-3898	55	49	case	case	NOUN
ejpam-3898	55	50	:	:	PUNCT
ejpam-3898	55	51	if	if	SCONJ
ejpam-3898	55	52	degas−1	degas−1	PROPN
ejpam-3898	55	53	=	=	SYM
ejpam-3898	55	54	degbm−1	degbm−1	PROPN
ejpam-3898	55	55	,	,	PUNCT
ejpam-3898	55	56	then	then	ADV
ejpam-3898	55	57	,	,	PUNCT
ejpam-3898	55	58	we	we	PRON
ejpam-3898	55	59	get	get	VERB
ejpam-3898	55	60	deg	deg	ADJ
ejpam-3898	55	61	λn−2	λn−2	PROPN
ejpam-3898	55	62	=	=	SYM
ejpam-3898	55	63	2	2	NUM
ejpam-3898	55	64	degas−1	degas−1	NOUN
ejpam-3898	55	65	,	,	PUNCT
ejpam-3898	55	66	so	so	ADV
ejpam-3898	55	67	deg	deg	PROPN
ejpam-3898	55	68	λn−2	λn−2	PROPN
ejpam-3898	55	69	is	be	AUX
ejpam-3898	55	70	even	even	ADV
ejpam-3898	55	71	.	.	PUNCT
ejpam-3898	56	1	but	but	CCONJ
ejpam-3898	56	2	deg	deg	VERB
ejpam-3898	56	3	λn−2	λn−2	PROPN
ejpam-3898	56	4	=	=	SYM
ejpam-3898	56	5	2	2	NUM
ejpam-3898	56	6	deg	deg	NOUN
ejpam-3898	56	7	λn−1	λn−1	PROPN
ejpam-3898	56	8	+	+	CCONJ
ejpam-3898	56	9	l	l	NOUN
ejpam-3898	56	10	,	,	PUNCT
ejpam-3898	56	11	then	then	ADV
ejpam-3898	56	12	it	it	PRON
ejpam-3898	56	13	is	be	AUX
ejpam-3898	56	14	odd	odd	ADJ
ejpam-3898	56	15	,	,	PUNCT
ejpam-3898	56	16	which	which	PRON
ejpam-3898	56	17	is	be	AUX
ejpam-3898	56	18	the	the	DET
ejpam-3898	56	19	desired	desire	VERB
ejpam-3898	56	20	contradiction	contradiction	NOUN
ejpam-3898	56	21	.	.	PUNCT
ejpam-3898	57	1	completing	complete	VERB
ejpam-3898	57	2	the	the	DET
ejpam-3898	57	3	proof	proof	NOUN
ejpam-3898	57	4	.	.	PUNCT
ejpam-3898	58	1	remark	remark	VERB
ejpam-3898	58	2	the	the	DET
ejpam-3898	58	3	converse	converse	NOUN
ejpam-3898	58	4	is	be	AUX
ejpam-3898	58	5	not	not	PART
ejpam-3898	58	6	always	always	ADV
ejpam-3898	58	7	true	true	ADJ
ejpam-3898	58	8	.	.	PUNCT
ejpam-3898	59	1	consider	consider	VERB
ejpam-3898	59	2	the	the	DET
ejpam-3898	59	3	polynomial	polynomial	ADJ
ejpam-3898	59	4	p	p	X
ejpam-3898	59	5	(	(	PUNCT
ejpam-3898	59	6	y	y	PROPN
ejpam-3898	59	7	)	)	PUNCT
ejpam-3898	60	1	=	=	SYM
ejpam-3898	60	2	y	y	PROPN
ejpam-3898	60	3	3	3	NUM
ejpam-3898	60	4	+	+	CCONJ
ejpam-3898	60	5	(	(	PUNCT
ejpam-3898	60	6	x2	x2	PROPN
ejpam-3898	61	1	+	+	CCONJ
ejpam-3898	61	2	x)y	x)y	NUM
ejpam-3898	61	3	2	2	NUM
ejpam-3898	61	4	+	+	CCONJ
ejpam-3898	61	5	x3y	x3y	ADJ
ejpam-3898	61	6	+	+	CCONJ
ejpam-3898	61	7	1	1	NUM
ejpam-3898	61	8	in	in	ADP
ejpam-3898	61	9	f2[x][y	f2[x][y	NOUN
ejpam-3898	61	10	]	]	PUNCT
ejpam-3898	61	11	.	.	PUNCT
ejpam-3898	62	1	p	p	NOUN
ejpam-3898	62	2	is	be	AUX
ejpam-3898	62	3	an	an	DET
ejpam-3898	62	4	irreducible	irreducible	ADJ
ejpam-3898	62	5	polynomial	polynomial	NOUN
ejpam-3898	62	6	over	over	ADP
ejpam-3898	62	7	f2[x	f2[x	NOUN
ejpam-3898	62	8	]	]	PUNCT
ejpam-3898	62	9	but	but	CCONJ
ejpam-3898	62	10	deg(x3	deg(x3	NUM
ejpam-3898	62	11	)	)	PUNCT
ejpam-3898	62	12	6=	6=	ADP
ejpam-3898	62	13	2	2	NUM
ejpam-3898	62	14	deg(x2	deg(x2	NOUN
ejpam-3898	62	15	+	+	NOUN
ejpam-3898	62	16	x	x	NOUN
ejpam-3898	62	17	)	)	PUNCT
ejpam-3898	62	18	+	+	NUM
ejpam-3898	62	19	l	l	NOUN
ejpam-3898	62	20	,	,	PUNCT
ejpam-3898	62	21	for	for	SCONJ
ejpam-3898	62	22	all	all	DET
ejpam-3898	62	23	l	l	NOUN
ejpam-3898	62	24	∈	∈	PROPN
ejpam-3898	62	25	n∗.	n∗.	NOUN
ejpam-3898	62	26	acknowledgements	acknowledgement	VERB
ejpam-3898	62	27	all	all	DET
ejpam-3898	62	28	our	our	PRON
ejpam-3898	62	29	thanks	thank	NOUN
ejpam-3898	62	30	to	to	ADP
ejpam-3898	62	31	the	the	DET
ejpam-3898	62	32	referees	referee	NOUN
ejpam-3898	62	33	for	for	ADP
ejpam-3898	62	34	careful	careful	ADJ
ejpam-3898	62	35	reading	reading	NOUN
ejpam-3898	62	36	of	of	ADP
ejpam-3898	62	37	this	this	DET
ejpam-3898	62	38	manuscript	manuscript	NOUN
ejpam-3898	62	39	and	and	CCONJ
ejpam-3898	62	40	for	for	ADP
ejpam-3898	62	41	theirs	theirs	NOUN
ejpam-3898	62	42	corrections	correction	NOUN
ejpam-3898	62	43	and	and	CCONJ
ejpam-3898	62	44	many	many	ADJ
ejpam-3898	62	45	important	important	ADJ
ejpam-3898	62	46	remarks	remark	NOUN
ejpam-3898	62	47	.	.	PUNCT
ejpam-3898	63	1	references	reference	NOUN
ejpam-3898	63	2	[	[	X
ejpam-3898	63	3	1	1	NUM
ejpam-3898	63	4	]	]	PUNCT
ejpam-3898	63	5	er	er	INTJ
ejpam-3898	63	6	berlekamp	berlekamp	NOUN
ejpam-3898	63	7	.	.	PUNCT
ejpam-3898	64	1	algebraic	algebraic	ADJ
ejpam-3898	64	2	coding	code	VERB
ejpam-3898	64	3	theory	theory	NOUN
ejpam-3898	64	4	mcgraw	mcgraw	PROPN
ejpam-3898	64	5	-	-	PUNCT
ejpam-3898	64	6	hill	hill	NOUN
ejpam-3898	64	7	.	.	PUNCT
ejpam-3898	65	1	new	new	PROPN
ejpam-3898	65	2	york	york	PROPN
ejpam-3898	65	3	,	,	PUNCT
ejpam-3898	65	4	8	8	NUM
ejpam-3898	65	5	,	,	PUNCT
ejpam-3898	65	6	1968	1968	NUM
ejpam-3898	65	7	.	.	PUNCT
ejpam-3898	66	1	[	[	X
ejpam-3898	66	2	2	2	X
ejpam-3898	66	3	]	]	PUNCT
ejpam-3898	66	4	a	a	DET
ejpam-3898	66	5	chandoul	chandoul	PROPN
ejpam-3898	66	6	,	,	PUNCT
ejpam-3898	66	7	m	m	PROPN
ejpam-3898	66	8	jellali	jellali	PROPN
ejpam-3898	66	9	,	,	PUNCT
ejpam-3898	66	10	and	and	CCONJ
ejpam-3898	66	11	m	m	PROPN
ejpam-3898	66	12	mkaouar	mkaouar	NOUN
ejpam-3898	66	13	.	.	PUNCT
ejpam-3898	67	1	irreducibility	irreducibility	NOUN
ejpam-3898	67	2	criterion	criterion	NOUN
ejpam-3898	67	3	over	over	ADP
ejpam-3898	67	4	finite	finite	ADJ
ejpam-3898	67	5	fields	field	NOUN
ejpam-3898	67	6	.	.	PUNCT
ejpam-3898	68	1	communications	communication	NOUN
ejpam-3898	68	2	in	in	ADP
ejpam-3898	68	3	algebra	algebra	NOUN
ejpam-3898	68	4	,	,	PUNCT
ejpam-3898	68	5	39(9):3133–3137	39(9):3133–3137	NUM
ejpam-3898	68	6	,	,	PUNCT
ejpam-3898	68	7	2011	2011	NUM
ejpam-3898	68	8	.	.	PUNCT
ejpam-3898	69	1	[	[	X
ejpam-3898	69	2	3	3	X
ejpam-3898	69	3	]	]	X
ejpam-3898	69	4	amara	amara	PROPN
ejpam-3898	69	5	chandoul	chandoul	PROPN
ejpam-3898	69	6	.	.	PUNCT
ejpam-3898	70	1	fractions	fraction	NOUN
ejpam-3898	70	2	continues	continue	VERB
ejpam-3898	70	3	multidimensionnelles	multidimensionnelle	NOUN
ejpam-3898	70	4	:	:	PUNCT
ejpam-3898	70	5	fractions	fraction	NOUN
ejpam-3898	70	6	continues	continue	VERB
ejpam-3898	70	7	multidimensionelles	multidimensionelle	NOUN
ejpam-3898	70	8	,	,	PUNCT
ejpam-3898	70	9	polynômes	polynôme	VERB
ejpam-3898	70	10	irréductibles	irréductible	NOUN
ejpam-3898	70	11	et	et	NOUN
ejpam-3898	70	12	nombres	nombre	NOUN
ejpam-3898	70	13	de	de	X
ejpam-3898	70	14	pisot	pisot	NOUN
ejpam-3898	70	15	.	.	PUNCT
ejpam-3898	71	1	éditions	édition	NOUN
ejpam-3898	71	2	universitaires	universitaire	VERB
ejpam-3898	71	3	européennes	européenne	NOUN
ejpam-3898	71	4	,	,	PUNCT
ejpam-3898	71	5	2012	2012	NUM
ejpam-3898	71	6	.	.	PUNCT
ejpam-3898	72	1	[	[	X
ejpam-3898	72	2	4	4	X
ejpam-3898	72	3	]	]	X
ejpam-3898	72	4	lindsay	lindsay	PROPN
ejpam-3898	72	5	n	n	PROPN
ejpam-3898	72	6	childs	child	VERB
ejpam-3898	72	7	.	.	PUNCT
ejpam-3898	73	1	a	a	DET
ejpam-3898	73	2	concrete	concrete	ADJ
ejpam-3898	73	3	introduction	introduction	NOUN
ejpam-3898	73	4	to	to	ADP
ejpam-3898	73	5	higher	high	ADJ
ejpam-3898	73	6	algebra	algebra	NOUN
ejpam-3898	73	7	.	.	PUNCT
ejpam-3898	74	1	springer	springer	NOUN
ejpam-3898	74	2	,	,	PUNCT
ejpam-3898	74	3	2009	2009	NUM
ejpam-3898	74	4	.	.	PUNCT
ejpam-3898	75	1	[	[	X
ejpam-3898	75	2	5	5	NUM
ejpam-3898	75	3	]	]	X
ejpam-3898	75	4	benny	benny	NOUN
ejpam-3898	75	5	chor	chor	NOUN
ejpam-3898	75	6	and	and	CCONJ
ejpam-3898	75	7	ronald	ronald	PROPN
ejpam-3898	75	8	l	l	PROPN
ejpam-3898	75	9	rivest	riv	ADJ
ejpam-3898	75	10	.	.	PUNCT
ejpam-3898	76	1	a	a	DET
ejpam-3898	76	2	knapsack	knapsack	NOUN
ejpam-3898	76	3	-	-	PUNCT
ejpam-3898	76	4	type	type	NOUN
ejpam-3898	76	5	public	public	ADJ
ejpam-3898	76	6	key	key	ADJ
ejpam-3898	76	7	cryptosystem	cryptosystem	NOUN
ejpam-3898	76	8	based	base	VERB
ejpam-3898	76	9	on	on	ADP
ejpam-3898	76	10	arithmetic	arithmetic	ADJ
ejpam-3898	76	11	in	in	ADP
ejpam-3898	76	12	finite	finite	ADJ
ejpam-3898	76	13	fields	field	NOUN
ejpam-3898	76	14	.	.	PUNCT
ejpam-3898	77	1	ieee	ieee	NOUN
ejpam-3898	77	2	transactions	transaction	NOUN
ejpam-3898	77	3	on	on	ADP
ejpam-3898	77	4	information	information	NOUN
ejpam-3898	77	5	theory	theory	NOUN
ejpam-3898	77	6	,	,	PUNCT
ejpam-3898	77	7	34(5):901–909	34(5):901–909	NOUN
ejpam-3898	77	8	,	,	PUNCT
ejpam-3898	77	9	1988	1988	NUM
ejpam-3898	77	10	.	.	PUNCT
ejpam-3898	78	1	[	[	X
ejpam-3898	78	2	6	6	NUM
ejpam-3898	78	3	]	]	PUNCT
ejpam-3898	78	4	dirk	dirk	NOUN
ejpam-3898	78	5	hachenberger	hachenberger	NOUN
ejpam-3898	78	6	and	and	CCONJ
ejpam-3898	78	7	dieter	dieter	NOUN
ejpam-3898	78	8	jungnickel	jungnickel	NOUN
ejpam-3898	78	9	.	.	PUNCT
ejpam-3898	79	1	irreducible	irreducible	ADJ
ejpam-3898	79	2	polynomials	polynomial	NOUN
ejpam-3898	79	3	over	over	ADP
ejpam-3898	79	4	finite	finite	ADJ
ejpam-3898	79	5	fields	field	NOUN
ejpam-3898	79	6	.	.	PUNCT
ejpam-3898	80	1	in	in	ADP
ejpam-3898	80	2	topics	topic	NOUN
ejpam-3898	80	3	in	in	ADP
ejpam-3898	80	4	galois	galois	PROPN
ejpam-3898	80	5	fields	field	NOUN
ejpam-3898	80	6	,	,	PUNCT
ejpam-3898	80	7	pages	page	NOUN
ejpam-3898	80	8	197–239	197–239	NUM
ejpam-3898	80	9	.	.	PUNCT
ejpam-3898	80	10	springer	springer	NOUN
ejpam-3898	80	11	,	,	PUNCT
ejpam-3898	80	12	2020	2020	NUM
ejpam-3898	80	13	.	.	PUNCT
ejpam-3898	81	1	[	[	X
ejpam-3898	81	2	7	7	X
ejpam-3898	81	3	]	]	PUNCT
ejpam-3898	81	4	michael	michael	PROPN
ejpam-3898	81	5	o	o	PROPN
ejpam-3898	81	6	rabin	rabin	PROPN
ejpam-3898	81	7	.	.	PUNCT
ejpam-3898	82	1	probabilistic	probabilistic	ADJ
ejpam-3898	82	2	algorithms	algorithm	NOUN
ejpam-3898	82	3	in	in	ADP
ejpam-3898	82	4	finite	finite	ADJ
ejpam-3898	82	5	fields	field	NOUN
ejpam-3898	82	6	.	.	PUNCT
ejpam-3898	83	1	siam	siam	PROPN
ejpam-3898	83	2	journal	journal	PROPN
ejpam-3898	83	3	on	on	ADP
ejpam-3898	83	4	computing	computing	NOUN
ejpam-3898	83	5	,	,	PUNCT
ejpam-3898	83	6	9(2):273–280	9(2):273–280	NUM
ejpam-3898	83	7	,	,	PUNCT
ejpam-3898	83	8	1980	1980	NUM
ejpam-3898	83	9	.	.	PUNCT