id	sid	eid	entity	type
ejpam-3907	1	1	european journal	ORG
ejpam-3907	2	1	14	DATE
ejpam-3907	2	2	3	CARDINAL
ejpam-3907	2	3	2021	DATE
ejpam-3907	2	4	685	CARDINAL
ejpam-3907	2	5	new york	GPE
ejpam-3907	2	6	nopendri1,3,∗	ORG
ejpam-3907	2	7	intan muchtadi alamsyah1	PERSON
ejpam-3907	2	8	suprijanto2	PERSON
ejpam-3907	3	1	1	CARDINAL
ejpam-3907	3	2	institut teknologi bandung	PERSON
ejpam-3907	3	3	bandung	GPE
ejpam-3907	3	4	2	CARDINAL
ejpam-3907	3	5	institut teknologi bandung	PERSON
ejpam-3907	3	6	bandung	GPE
ejpam-3907	3	7	3	CARDINAL
ejpam-3907	3	8	telkom university	ORG
ejpam-3907	3	9	bandung	GPE
ejpam-3907	3	10	indonesia	GPE
ejpam-3907	7	1	2020	DATE
ejpam-3907	7	2	94a55	CARDINAL
ejpam-3907	7	3	linear span	ORG
ejpam-3907	7	4	1	CARDINAL
ejpam-3907	8	1	1	CARDINAL
ejpam-3907	10	1	d. a linear	PERSON
ejpam-3907	12	1	cn−1	ORG
ejpam-3907	12	2	cn−1	NORP
ejpam-3907	14	1	cn−2	PERSON
ejpam-3907	15	1	cn−1	ORG
ejpam-3907	16	1	n−1	ORG
ejpam-3907	16	2	1〉	CARDINAL
ejpam-3907	17	1	⊆	CARDINAL
ejpam-3907	19	1	1	CARDINAL
ejpam-3907	22	1	linear	ORG
ejpam-3907	25	1	ntan@math.itb.ac.id (i.m.alamsyah	GPE
ejpam-3907	25	2	djoko@math.itb.ac.id (d.suprijanto),barra@math.itb.ac.id (a. barra	ORG
ejpam-3907	26	1	685	CARDINAL
ejpam-3907	26	2	2021	CARDINAL
ejpam-3907	27	1	nopendri	GPE
ejpam-3907	28	1	j. pure	PERSON
ejpam-3907	28	2	14	CARDINAL
ejpam-3907	28	3	3	CARDINAL
ejpam-3907	28	4	2021	CARDINAL
ejpam-3907	28	5	685	CARDINAL
ejpam-3907	28	6	2	CARDINAL
ejpam-3907	28	7	7	DATE
ejpam-3907	28	8	11	CARDINAL
ejpam-3907	29	1	quantum	ORG
ejpam-3907	29	2	18	CARDINAL
ejpam-3907	30	1	5	CARDINAL
ejpam-3907	31	1	one	CARDINAL
ejpam-3907	31	2	8	CARDINAL
ejpam-3907	32	1	3	CARDINAL
ejpam-3907	32	2	6	CARDINAL
ejpam-3907	34	1	zhou	PERSON
ejpam-3907	34	2	3	CARDINAL
ejpam-3907	34	3	6	CARDINAL
ejpam-3907	35	1	3	CARDINAL
ejpam-3907	35	2	6	CARDINAL
ejpam-3907	36	1	12	CARDINAL
ejpam-3907	36	2	14	DATE
ejpam-3907	36	3	16	DATE
ejpam-3907	36	4	17	CARDINAL
ejpam-3907	37	1	f(x	ORG
ejpam-3907	38	1	3	CARDINAL
ejpam-3907	38	2	17	CARDINAL
ejpam-3907	40	1	f(x	ORG
ejpam-3907	43	1	section 2	LAW
ejpam-3907	44	1	section 3	DATE
ejpam-3907	46	1	section 4	LAW
ejpam-3907	47	1	2	CARDINAL
ejpam-3907	48	1	1	CARDINAL
ejpam-3907	49	1	0	CARDINAL
ejpam-3907	49	2	1	DATE
ejpam-3907	49	3	2	CARDINAL
ejpam-3907	52	1	integer s	ORG
ejpam-3907	52	2	0 ≤	MONEY
ejpam-3907	54	1	⊂	GPE
ejpam-3907	54	2	qls ≡ s	ORG
ejpam-3907	54	3	1	CARDINAL
ejpam-3907	55	1	9	CARDINAL
ejpam-3907	55	2	1	CARDINAL
ejpam-3907	56	1	1 ≤ s ≤	QUANTITY
ejpam-3907	56	2	1	CARDINAL
ejpam-3907	56	3	1	CARDINAL
ejpam-3907	56	4	2	CARDINAL
ejpam-3907	58	1	st =	GPE
ejpam-3907	58	2	0	CARDINAL
ejpam-3907	59	1	nopendri	NORP
ejpam-3907	60	1	j. pure	PERSON
ejpam-3907	60	2	14	CARDINAL
ejpam-3907	60	3	3	CARDINAL
ejpam-3907	60	4	2021	CARDINAL
ejpam-3907	60	5	685	CARDINAL
ejpam-3907	60	6	3	CARDINAL
ejpam-3907	63	1	1	CARDINAL
ejpam-3907	64	1	0	CARDINAL
ejpam-3907	64	2	0	CARDINAL
ejpam-3907	64	3	1	DATE
ejpam-3907	64	4	2	CARDINAL
ejpam-3907	68	1	4	CARDINAL
ejpam-3907	68	2	5.3	CARDINAL
ejpam-3907	69	1	2	CARDINAL
ejpam-3907	72	1	t=0 stx t ∈	PERSON
ejpam-3907	73	1	1	CARDINAL
ejpam-3907	73	2	1	CARDINAL
ejpam-3907	73	3	l− deg	PERSON
ejpam-3907	73	4	1	CARDINAL
ejpam-3907	75	1	1	CARDINAL
ejpam-3907	76	1	3	CARDINAL
ejpam-3907	77	1	st = qm−2∑ i=0	ORG
ejpam-3907	77	2	ci ∈	PERSON
ejpam-3907	78	1	6=	DATE
ejpam-3907	78	2	1	CARDINAL
ejpam-3907	79	1	3	CARDINAL
ejpam-3907	79	2	f(x	ORG
ejpam-3907	80	1	+ 1)−	DATE
ejpam-3907	80	2	0	CARDINAL
ejpam-3907	80	3	2	CARDINAL
ejpam-3907	81	1	j. pure	PERSON
ejpam-3907	81	2	14	CARDINAL
ejpam-3907	81	3	3	CARDINAL
ejpam-3907	81	4	2021	CARDINAL
ejpam-3907	81	5	685	CARDINAL
ejpam-3907	81	6	f(x	ORG
ejpam-3907	82	1	xq	ORG
ejpam-3907	82	2	m−2	DATE
ejpam-3907	82	3	3	CARDINAL
ejpam-3907	85	1	1	CARDINAL
ejpam-3907	85	2	2	CARDINAL
ejpam-3907	85	3	3	CARDINAL
ejpam-3907	85	4	2	CARDINAL
ejpam-3907	85	5	+ 1)−	DATE
ejpam-3907	85	6	+ 1)−	DATE
ejpam-3907	86	1	e∑ i=0	ORG
ejpam-3907	87	1	qm−2∑ i=0	ORG
ejpam-3907	87	2	−	GPE
ejpam-3907	87	3	= qm−2∑ i=0	ORG
ejpam-3907	87	4	6∈ce	CARDINAL
ejpam-3907	87	5	= qm−2∑ i=0	ORG
ejpam-3907	87	6	6∈ce	CARDINAL
ejpam-3907	87	7	j=0	GPE
ejpam-3907	88	1	= qm−2∑ i=0	ORG
ejpam-3907	88	2	6∈ce	CARDINAL
ejpam-3907	88	3	4	CARDINAL
ejpam-3907	89	1	ke	PERSON
ejpam-3907	89	2	4	CARDINAL
ejpam-3907	91	1	ke	PERSON
ejpam-3907	91	2	6∈	CARDINAL
ejpam-3907	92	1	5	CARDINAL
ejpam-3907	93	1	4	CARDINAL
ejpam-3907	95	1	4	CARDINAL
ejpam-3907	96	1	15	CARDINAL
ejpam-3907	96	2	0	CARDINAL
ejpam-3907	98	1	nopendri et al	PERSON
ejpam-3907	99	1	j. pure	PERSON
ejpam-3907	99	2	14	CARDINAL
ejpam-3907	99	3	3	CARDINAL
ejpam-3907	99	4	2021	CARDINAL
ejpam-3907	99	5	685-694 689	QUANTITY
ejpam-3907	99	6	4	CARDINAL
ejpam-3907	99	7	multiplicative	ORG
ejpam-3907	99	8	1	CARDINAL
ejpam-3907	99	9	1	CARDINAL
ejpam-3907	99	10	modulo p	ORG
ejpam-3907	100	1	j=0	GPE
ejpam-3907	100	2	j=0	GPE
ejpam-3907	100	3	1− kij	PRODUCT
ejpam-3907	100	4	1	CARDINAL
ejpam-3907	100	5	1	CARDINAL
ejpam-3907	100	6	j=0	GPE
ejpam-3907	100	7	1	CARDINAL
ejpam-3907	101	1	6	CARDINAL
ejpam-3907	101	2	6	CARDINAL
ejpam-3907	102	1	5	CARDINAL
ejpam-3907	103	1	1 qi mod n	QUANTITY
ejpam-3907	103	2	1 i mod n	QUANTITY
ejpam-3907	108	1	1	CARDINAL
ejpam-3907	108	2	13	CARDINAL
ejpam-3907	108	3	1 qi mod n	QUANTITY
ejpam-3907	108	4	1	CARDINAL
ejpam-3907	109	1	− 1 i0	ORG
ejpam-3907	109	2	1	CARDINAL
ejpam-3907	110	1	1	CARDINAL
ejpam-3907	111	1	− 1 i0	ORG
ejpam-3907	113	1	kij = qji mod n	PERSON
ejpam-3907	113	2	j ∈ zm	ORG
ejpam-3907	113	3	1	CARDINAL
ejpam-3907	114	1	6	CARDINAL
ejpam-3907	114	2	j=0 kij  mod	PERSON
ejpam-3907	116	1	j. pure	PERSON
ejpam-3907	116	2	14	CARDINAL
ejpam-3907	116	3	3	CARDINAL
ejpam-3907	116	4	2021	CARDINAL
ejpam-3907	116	5	685	CARDINAL
ejpam-3907	116	6	6	CARDINAL
ejpam-3907	118	1	6≡	CARDINAL
ejpam-3907	120	1	k!(pa	PERSON
ejpam-3907	120	2	1− k	PRODUCT
ejpam-3907	121	1	2	CARDINAL
ejpam-3907	122	1	− k	PERSON
ejpam-3907	127	1	6	CARDINAL
ejpam-3907	129	1	−1)k mod	PERSON
ejpam-3907	129	2	j=0 kij	PERSON
ejpam-3907	129	3	5	CARDINAL
ejpam-3907	131	1	6≡ 0	DATE
ejpam-3907	132	1	7	CARDINAL
ejpam-3907	133	1	6≡ 0	DATE
ejpam-3907	134	1	7	CARDINAL
ejpam-3907	137	1	1	CARDINAL
ejpam-3907	137	2	1 +	CARDINAL
ejpam-3907	138	1	7	CARDINAL
ejpam-3907	138	2	∈	ORG
ejpam-3907	138	3	j ∈	PERSON
ejpam-3907	138	4	0	CARDINAL
ejpam-3907	138	5	1	DATE
ejpam-3907	138	6	2	CARDINAL
ejpam-3907	140	1	0	CARDINAL
ejpam-3907	142	1	0	CARDINAL
ejpam-3907	143	1	nopendri et al	PERSON
ejpam-3907	144	1	j. pure	PERSON
ejpam-3907	144	2	14	CARDINAL
ejpam-3907	144	3	3	CARDINAL
ejpam-3907	144	4	2021	CARDINAL
ejpam-3907	144	5	685	CARDINAL
ejpam-3907	144	6	8	CARDINAL
ejpam-3907	145	1	6=	CARDINAL
ejpam-3907	145	2	0	CARDINAL
ejpam-3907	146	1	bq0 mod n	PERSON
ejpam-3907	148	1	bqm−1 mod n	ORG
ejpam-3907	148	2	1	CARDINAL
ejpam-3907	149	1	j1	ORG
ejpam-3907	149	2	j2	ORG
ejpam-3907	149	3	jt ∈	PERSON
ejpam-3907	149	4	0	CARDINAL
ejpam-3907	149	5	1	DATE
ejpam-3907	149	6	2	DATE
ejpam-3907	149	7	1	CARDINAL
ejpam-3907	149	8	2	DATE
ejpam-3907	149	9	lemma 7	ORG
ejpam-3907	150	1	1	CARDINAL
ejpam-3907	150	2	2	DATE
ejpam-3907	150	3	bq0 mod n	PERSON
ejpam-3907	151	1	bqm−1 mod n	ORG
ejpam-3907	153	1	t∑ i=0	ORG
ejpam-3907	153	2	0	CARDINAL
ejpam-3907	155	1	t∑ i=0 γi	ORG
ejpam-3907	158	1	9	CARDINAL
ejpam-3907	159	1	6=	DATE
ejpam-3907	159	2	1	CARDINAL
ejpam-3907	159	3	0	CARDINAL
ejpam-3907	160	1	1	CARDINAL
ejpam-3907	160	2	1	CARDINAL
ejpam-3907	160	3	zp	ORG
ejpam-3907	161	1	6≡	CARDINAL
ejpam-3907	163	1	6=	DATE
ejpam-3907	163	2	0	CARDINAL
ejpam-3907	163	3	8	CARDINAL
ejpam-3907	163	4	9	CARDINAL
ejpam-3907	166	1	1	CARDINAL
ejpam-3907	167	1	euler	PERSON
ejpam-3907	167	2	#	CARDINAL
ejpam-3907	168	1	zn	DATE
ejpam-3907	168	2	2	CARDINAL
ejpam-3907	169	1	nopendri et al	PERSON
ejpam-3907	170	1	j. pure	PERSON
ejpam-3907	170	2	14	CARDINAL
ejpam-3907	170	3	3	CARDINAL
ejpam-3907	170	4	2021	CARDINAL
ejpam-3907	170	5	685	CARDINAL
ejpam-3907	170	6	10	CARDINAL
ejpam-3907	171	1	j=0 kij	PERSON
ejpam-3907	171	2	kij = qji mod n	PERSON
ejpam-3907	171	3	1	CARDINAL
ejpam-3907	172	1	6≡ 0	DATE
ejpam-3907	172	2	2	CARDINAL
ejpam-3907	175	1	qe mod n	PERSON
ejpam-3907	177	1	1	CARDINAL
ejpam-3907	177	2	n−	ORG
ejpam-3907	178	1	≡ mn+m−	ORG
ejpam-3907	178	2	1 +	CARDINAL
ejpam-3907	179	1	−1	CARDINAL
ejpam-3907	179	2	lemma 1 and	ORG
ejpam-3907	179	3	gcd(e	ORG
ejpam-3907	179	4	1	CARDINAL
ejpam-3907	180	1	9	CARDINAL
ejpam-3907	181	1	2	CARDINAL
ejpam-3907	181	2	3	CARDINAL
ejpam-3907	182	1	1	CARDINAL
ejpam-3907	183	1	2	CARDINAL
ejpam-3907	183	2	f(x	ORG
ejpam-3907	184	1	xq	ORG
ejpam-3907	184	2	6∈ce	CARDINAL
ejpam-3907	184	3	10	CARDINAL
ejpam-3907	186	1	3	CARDINAL
ejpam-3907	186	2	10	CARDINAL
ejpam-3907	187	1	7	CARDINAL
ejpam-3907	188	1	9	CARDINAL
ejpam-3907	189	1	10	CARDINAL
ejpam-3907	190	1	2	CARDINAL
ejpam-3907	191	1	1	CARDINAL
ejpam-3907	192	1	1	CARDINAL
ejpam-3907	193	1	10	CARDINAL
ejpam-3907	195	1	1	CARDINAL
ejpam-3907	197	1	693	CARDINAL
ejpam-3907	197	2	zeros	CARDINAL
ejpam-3907	197	3	∈	ORG
ejpam-3907	198	1	1	CARDINAL
ejpam-3907	198	2	2	DATE
ejpam-3907	199	1	1	CARDINAL
ejpam-3907	200	1	hartmann	PERSON
ejpam-3907	200	2	10	CARDINAL
ejpam-3907	200	3	1	CARDINAL
ejpam-3907	202	1	1	CARDINAL
ejpam-3907	203	1	3	CARDINAL
ejpam-3907	203	2	2	CARDINAL
ejpam-3907	204	1	32	CARDINAL
ejpam-3907	204	2	2	CARDINAL
ejpam-3907	204	3	0	CARDINAL
ejpam-3907	205	1	8	CARDINAL
ejpam-3907	205	2	4	DATE
ejpam-3907	205	3	2	CARDINAL
ejpam-3907	205	4	3	CARDINAL
ejpam-3907	206	1	linear	ORG
ejpam-3907	206	2	8	CARDINAL
ejpam-3907	206	3	4	CARDINAL
ejpam-3907	206	4	3	CARDINAL
ejpam-3907	206	5	8	CARDINAL
ejpam-3907	206	6	4	DATE
ejpam-3907	206	7	2	CARDINAL
ejpam-3907	208	1	2	CARDINAL
ejpam-3907	209	1	3,m	CARDINAL
ejpam-3907	209	2	3	CARDINAL
ejpam-3907	209	3	33)∗	CARDINAL
ejpam-3907	210	1	+ 2α	CARDINAL
ejpam-3907	210	2	0	CARDINAL
ejpam-3907	211	1	26	CARDINAL
ejpam-3907	211	2	11	DATE
ejpam-3907	211	3	6	CARDINAL
ejpam-3907	211	4	3	CARDINAL
ejpam-3907	218	1	linear	ORG
ejpam-3907	218	2	26	CARDINAL
ejpam-3907	218	3	11	CARDINAL
ejpam-3907	218	4	3	CARDINAL
ejpam-3907	218	5	9 ≤ d ≤ 11	QUANTITY
ejpam-3907	219	1	26	CARDINAL
ejpam-3907	221	1	3	CARDINAL
ejpam-3907	222	1	3,m	CARDINAL
ejpam-3907	222	2	3	CARDINAL
ejpam-3907	222	3	33)∗	CARDINAL
ejpam-3907	222	4	0	CARDINAL
ejpam-3907	223	1	26	CARDINAL
ejpam-3907	223	2	11	DATE
ejpam-3907	223	3	6	CARDINAL
ejpam-3907	223	4	3	CARDINAL
ejpam-3907	227	1	1	CARDINAL
ejpam-3907	228	1	26	CARDINAL
ejpam-3907	229	1	4.	CARDINAL
ejpam-3907	229	2	f(x	ORG
ejpam-3907	230	1	xq	ORG
ejpam-3907	232	1	2	CARDINAL
ejpam-3907	233	1	1	CARDINAL
ejpam-3907	235	1	three	CARDINAL
ejpam-3907	236	1	3, 1983	CARDINAL
ejpam-3907	236	2	17	CARDINAL
ejpam-3907	236	3	27	CARDINAL
ejpam-3907	239	1	2019	DATE
ejpam-3907	240	1	1	CARDINAL
ejpam-3907	240	2	two	CARDINAL
ejpam-3907	241	1	ieee trans	PERSON
ejpam-3907	243	1	38(1):120–130	ORG
ejpam-3907	243	2	1992	DATE
ejpam-3907	244	1	2	CARDINAL
ejpam-3907	245	1	bose-chaudhuri-hocquenghem	PERSON
ejpam-3907	248	1	10(4):357–363, 1964	DATE
ejpam-3907	249	1	694	CARDINAL
ejpam-3907	250	1	3	CARDINAL
ejpam-3907	252	1	siam	GPE
ejpam-3907	252	2	27(4):1977–1994	CARDINAL
ejpam-3907	252	3	2013	DATE
ejpam-3907	253	1	4	CARDINAL
ejpam-3907	253	2	g xiao	PERSON
ejpam-3907	253	3	w shan	PERSON
ejpam-3907	254	1	561	CARDINAL
ejpam-3907	255	1	springer-verlag	PERSON
ejpam-3907	255	2	berlin	GPE
ejpam-3907	255	3	heidelberg	GPE
ejpam-3907	255	4	1st	ORDINAL
ejpam-3907	255	5	1991	DATE
ejpam-3907	256	1	5	CARDINAL
ejpam-3907	256	2	y yang	PERSON
ejpam-3907	260	1	56(7):3605–3612, 2010	DATE
ejpam-3907	261	1	6	CARDINAL
ejpam-3907	261	2	zhou	PERSON
ejpam-3907	262	1	2	CARDINAL
ejpam-3907	263	1	321:76–89	DATE
ejpam-3907	263	2	2014	DATE
ejpam-3907	265	1	bch	ORG
ejpam-3907	266	1	ieee trans	ORG
ejpam-3907	268	1	11(4):549–557, 1965	DATE
ejpam-3907	269	1	8	CARDINAL
ejpam-3907	270	1	linear	ORG
ejpam-3907	270	2	quantum	ORG
ejpam-3907	271	1	http://www.codetables.de, 2007	DATE
ejpam-3907	272	1	2020-12-20	DATE
ejpam-3907	273	1	9	CARDINAL
ejpam-3907	273	2	s maitra	ORG
ejpam-3907	274	1	2	CARDINAL
ejpam-3907	275	1	third	ORDINAL
ejpam-3907	275	2	2001	DATE
ejpam-3907	275	3	xian	PERSON
ejpam-3907	275	4	china	GPE
ejpam-3907	275	5	november 13-16, 2001	DATE
ejpam-3907	275	6	23–34, 2001	DATE
ejpam-3907	276	1	10	CARDINAL
ejpam-3907	276	2	k k tzeng	PERSON
ejpam-3907	277	1	bch	GPE
ejpam-3907	278	1	20(5):489–498	CARDINAL
ejpam-3907	278	2	1972	DATE
ejpam-3907	279	1	11	CARDINAL
ejpam-3907	281	1	cambridge university press	ORG
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ejpam-3907	284	1	55(3):254–274	DATE
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ejpam-3907	285	1	13	CARDINAL
ejpam-3907	287	1	j. math	PERSON
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ejpam-3907	288	2	k khashyarmanesh	PERSON
ejpam-3907	291	1	eng	PERSON
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ejpam-3907	292	1	comput	PERSON
ejpam-3907	292	2	28(6):469–495	ORG
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ejpam-3907	295	2	2019	DATE
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ejpam-3907	298	1	southeast asian	NORP
ejpam-3907	298	2	42(5):773	ORDINAL
ejpam-3907	298	3	2018	DATE
ejpam-3907	299	1	17	CARDINAL
ejpam-3907	299	2	xu	PERSON
ejpam-3907	300	1	apn	ORG
ejpam-3907	302	1	eng	PERSON
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ejpam-3907	303	1	comput	PERSON
ejpam-3907	303	2	2014	DATE
ejpam-3907	304	1	18	CARDINAL
ejpam-3907	304	2	s w mclaughlin	ORG
ejpam-3907	305	1	quantum	ORG
ejpam-3907	308	1	47(3):1176–1178, 2001	DATE