id	sid	tid	token	lemma	pos
ejpam-3250	1	1	european	european	PROPN
ejpam-3250	1	2	journal	journal	PROPN
ejpam-3250	1	3	of	of	ADP
ejpam-3250	1	4	pure	pure	ADJ
ejpam-3250	1	5	and	and	CCONJ
ejpam-3250	1	6	applied	apply	VERB
ejpam-3250	1	7	mathematics	mathematic	NOUN
ejpam-3250	1	8	vol	vol	NOUN
ejpam-3250	1	9	.	.	PUNCT
ejpam-3250	2	1	11	11	NUM
ejpam-3250	2	2	,	,	PUNCT
ejpam-3250	2	3	no	no	INTJ
ejpam-3250	2	4	.	.	NOUN
ejpam-3250	2	5	2	2	NUM
ejpam-3250	2	6	,	,	PUNCT
ejpam-3250	2	7	2018	2018	NUM
ejpam-3250	2	8	,	,	PUNCT
ejpam-3250	2	9	468	468	NUM
ejpam-3250	2	10	-	-	SYM
ejpam-3250	2	11	475	475	NUM
ejpam-3250	2	12	issn	issn	PROPN
ejpam-3250	2	13	1307	1307	NUM
ejpam-3250	2	14	-	-	SYM
ejpam-3250	2	15	5543	5543	NUM
ejpam-3250	2	16	–	–	PUNCT
ejpam-3250	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-3250	2	18	published	publish	VERB
ejpam-3250	2	19	by	by	ADP
ejpam-3250	2	20	new	new	PROPN
ejpam-3250	2	21	york	york	PROPN
ejpam-3250	2	22	business	business	PROPN
ejpam-3250	2	23	global	global	PROPN
ejpam-3250	2	24	a	a	DET
ejpam-3250	2	25	new	new	ADJ
ejpam-3250	2	26	approach	approach	NOUN
ejpam-3250	2	27	to	to	PART
ejpam-3250	2	28	construct	construct	VERB
ejpam-3250	2	29	secret	secret	ADJ
ejpam-3250	2	30	sharing	sharing	NOUN
ejpam-3250	2	31	schemes	scheme	NOUN
ejpam-3250	2	32	based	base	VERB
ejpam-3250	2	33	on	on	ADP
ejpam-3250	2	34	field	field	NOUN
ejpam-3250	2	35	extensions	extension	NOUN
ejpam-3250	2	36	fatih	fatih	PROPN
ejpam-3250	2	37	molla1	molla1	PROPN
ejpam-3250	2	38	,	,	PUNCT
ejpam-3250	2	39	selda	selda	PROPN
ejpam-3250	2	40	çalkavur2,∗	çalkavur2,∗	PROPN
ejpam-3250	2	41	1	1	NUM
ejpam-3250	2	42	engineering	engineering	NOUN
ejpam-3250	2	43	of	of	ADP
ejpam-3250	2	44	information	information	NOUN
ejpam-3250	2	45	systems	system	NOUN
ejpam-3250	2	46	,	,	PUNCT
ejpam-3250	2	47	faculty	faculty	NOUN
ejpam-3250	2	48	of	of	ADP
ejpam-3250	2	49	technology	technology	NOUN
ejpam-3250	2	50	,	,	PUNCT
ejpam-3250	2	51	kocaeli	kocaeli	PROPN
ejpam-3250	2	52	university	university	PROPN
ejpam-3250	2	53	,	,	PUNCT
ejpam-3250	2	54	kocaeli	kocaeli	VERB
ejpam-3250	2	55	,	,	PUNCT
ejpam-3250	2	56	turkey	turkey	NOUN
ejpam-3250	2	57	2	2	NUM
ejpam-3250	2	58	mathematics	mathematic	NOUN
ejpam-3250	2	59	,	,	PUNCT
ejpam-3250	2	60	faculty	faculty	NOUN
ejpam-3250	2	61	of	of	ADP
ejpam-3250	2	62	arts	art	NOUN
ejpam-3250	2	63	and	and	CCONJ
ejpam-3250	2	64	sciences	science	NOUN
ejpam-3250	2	65	,	,	PUNCT
ejpam-3250	2	66	kocaeli	kocaeli	PROPN
ejpam-3250	2	67	university	university	PROPN
ejpam-3250	2	68	,	,	PUNCT
ejpam-3250	2	69	kocaeli	kocaeli	VERB
ejpam-3250	2	70	,	,	PUNCT
ejpam-3250	2	71	turkey	turkey	PROPN
ejpam-3250	2	72	abstract	abstract	NOUN
ejpam-3250	2	73	.	.	PUNCT
ejpam-3250	3	1	secret	secret	ADJ
ejpam-3250	3	2	sharing	sharing	NOUN
ejpam-3250	3	3	has	have	AUX
ejpam-3250	3	4	been	be	AUX
ejpam-3250	3	5	a	a	DET
ejpam-3250	3	6	subject	subject	NOUN
ejpam-3250	3	7	of	of	ADP
ejpam-3250	3	8	study	study	NOUN
ejpam-3250	3	9	since	since	SCONJ
ejpam-3250	3	10	1979	1979	NUM
ejpam-3250	3	11	.	.	PUNCT
ejpam-3250	4	1	it	it	PRON
ejpam-3250	4	2	is	be	AUX
ejpam-3250	4	3	important	important	ADJ
ejpam-3250	4	4	that	that	SCONJ
ejpam-3250	4	5	a	a	DET
ejpam-3250	4	6	secret	secret	ADJ
ejpam-3250	4	7	key	key	ADJ
ejpam-3250	4	8	,	,	PUNCT
ejpam-3250	4	9	passwords	password	NOUN
ejpam-3250	4	10	,	,	PUNCT
ejpam-3250	4	11	information	information	NOUN
ejpam-3250	4	12	of	of	ADP
ejpam-3250	4	13	the	the	DET
ejpam-3250	4	14	map	map	NOUN
ejpam-3250	4	15	of	of	ADP
ejpam-3250	4	16	a	a	DET
ejpam-3250	4	17	secret	secret	ADJ
ejpam-3250	4	18	place	place	NOUN
ejpam-3250	4	19	or	or	CCONJ
ejpam-3250	4	20	an	an	DET
ejpam-3250	4	21	important	important	ADJ
ejpam-3250	4	22	formula	formula	NOUN
ejpam-3250	4	23	must	must	AUX
ejpam-3250	4	24	be	be	AUX
ejpam-3250	4	25	kept	keep	VERB
ejpam-3250	4	26	secret	secret	ADJ
ejpam-3250	4	27	.	.	PUNCT
ejpam-3250	5	1	the	the	DET
ejpam-3250	5	2	main	main	ADJ
ejpam-3250	5	3	problem	problem	NOUN
ejpam-3250	5	4	is	be	AUX
ejpam-3250	5	5	to	to	PART
ejpam-3250	5	6	divide	divide	VERB
ejpam-3250	5	7	the	the	DET
ejpam-3250	5	8	secret	secret	NOUN
ejpam-3250	5	9	into	into	ADP
ejpam-3250	5	10	pieces	piece	NOUN
ejpam-3250	5	11	instead	instead	ADV
ejpam-3250	5	12	of	of	ADP
ejpam-3250	5	13	storing	store	VERB
ejpam-3250	5	14	the	the	DET
ejpam-3250	5	15	whole	whole	NOUN
ejpam-3250	5	16	for	for	ADP
ejpam-3250	5	17	a	a	DET
ejpam-3250	5	18	secret	secret	ADJ
ejpam-3250	5	19	sharing	sharing	NOUN
ejpam-3250	5	20	.	.	PUNCT
ejpam-3250	6	1	a	a	DET
ejpam-3250	6	2	secret	secret	ADJ
ejpam-3250	6	3	sharing	sharing	NOUN
ejpam-3250	6	4	scheme	scheme	NOUN
ejpam-3250	6	5	is	be	AUX
ejpam-3250	6	6	a	a	DET
ejpam-3250	6	7	way	way	NOUN
ejpam-3250	6	8	of	of	ADP
ejpam-3250	6	9	distributing	distribute	VERB
ejpam-3250	6	10	a	a	DET
ejpam-3250	6	11	secret	secret	NOUN
ejpam-3250	6	12	among	among	ADP
ejpam-3250	6	13	a	a	DET
ejpam-3250	6	14	finite	finite	ADJ
ejpam-3250	6	15	set	set	NOUN
ejpam-3250	6	16	of	of	ADP
ejpam-3250	6	17	people	people	NOUN
ejpam-3250	6	18	such	such	ADJ
ejpam-3250	6	19	that	that	SCONJ
ejpam-3250	6	20	only	only	ADV
ejpam-3250	6	21	some	some	DET
ejpam-3250	6	22	distinguished	distinguished	ADJ
ejpam-3250	6	23	subsets	subset	NOUN
ejpam-3250	6	24	of	of	ADP
ejpam-3250	6	25	these	these	DET
ejpam-3250	6	26	subsets	subset	NOUN
ejpam-3250	6	27	can	can	AUX
ejpam-3250	6	28	recover	recover	VERB
ejpam-3250	6	29	the	the	DET
ejpam-3250	6	30	secret	secret	NOUN
ejpam-3250	6	31	.	.	PUNCT
ejpam-3250	7	1	the	the	DET
ejpam-3250	7	2	collection	collection	NOUN
ejpam-3250	7	3	of	of	ADP
ejpam-3250	7	4	these	these	DET
ejpam-3250	7	5	special	special	ADJ
ejpam-3250	7	6	subsets	subset	NOUN
ejpam-3250	7	7	is	be	AUX
ejpam-3250	7	8	called	call	VERB
ejpam-3250	7	9	the	the	DET
ejpam-3250	7	10	access	access	NOUN
ejpam-3250	7	11	structure	structure	NOUN
ejpam-3250	7	12	of	of	ADP
ejpam-3250	7	13	the	the	DET
ejpam-3250	7	14	scheme	scheme	NOUN
ejpam-3250	7	15	.	.	PUNCT
ejpam-3250	8	1	in	in	ADP
ejpam-3250	8	2	this	this	DET
ejpam-3250	8	3	paper	paper	NOUN
ejpam-3250	8	4	,	,	PUNCT
ejpam-3250	8	5	we	we	PRON
ejpam-3250	8	6	propose	propose	VERB
ejpam-3250	8	7	a	a	DET
ejpam-3250	8	8	new	new	ADJ
ejpam-3250	8	9	approach	approach	NOUN
ejpam-3250	8	10	to	to	PART
ejpam-3250	8	11	construct	construct	VERB
ejpam-3250	8	12	secret	secret	ADJ
ejpam-3250	8	13	sharing	sharing	NOUN
ejpam-3250	8	14	schemes	scheme	NOUN
ejpam-3250	8	15	based	base	VERB
ejpam-3250	8	16	on	on	ADP
ejpam-3250	8	17	field	field	NOUN
ejpam-3250	8	18	extensions	extension	NOUN
ejpam-3250	8	19	.	.	PUNCT
ejpam-3250	9	1	2010	2010	NUM
ejpam-3250	9	2	mathematics	mathematic	NOUN
ejpam-3250	9	3	subject	subject	NOUN
ejpam-3250	9	4	classifications	classification	NOUN
ejpam-3250	9	5	:	:	PUNCT
ejpam-3250	9	6	12f05	12f05	NUM
ejpam-3250	9	7	,	,	PUNCT
ejpam-3250	9	8	94a62	94a62	NUM
ejpam-3250	9	9	.	.	PUNCT
ejpam-3250	10	1	key	key	ADJ
ejpam-3250	10	2	words	word	NOUN
ejpam-3250	10	3	and	and	CCONJ
ejpam-3250	10	4	phrases	phrase	NOUN
ejpam-3250	10	5	:	:	PUNCT
ejpam-3250	10	6	field	field	NOUN
ejpam-3250	10	7	extension	extension	NOUN
ejpam-3250	10	8	,	,	PUNCT
ejpam-3250	10	9	secret	secret	ADJ
ejpam-3250	10	10	sharing	sharing	NOUN
ejpam-3250	10	11	,	,	PUNCT
ejpam-3250	10	12	secret	secret	ADJ
ejpam-3250	10	13	sharing	sharing	NOUN
ejpam-3250	10	14	scheme	scheme	NOUN
ejpam-3250	10	15	.	.	PUNCT
ejpam-3250	11	1	1	1	X
ejpam-3250	11	2	.	.	X
ejpam-3250	11	3	introduction	introduction	NOUN
ejpam-3250	11	4	a	a	DET
ejpam-3250	11	5	secret	secret	ADJ
ejpam-3250	11	6	sharing	sharing	NOUN
ejpam-3250	11	7	scheme	scheme	NOUN
ejpam-3250	11	8	is	be	AUX
ejpam-3250	11	9	a	a	DET
ejpam-3250	11	10	method	method	NOUN
ejpam-3250	11	11	of	of	ADP
ejpam-3250	11	12	hiding	hide	VERB
ejpam-3250	11	13	a	a	DET
ejpam-3250	11	14	secret	secret	NOUN
ejpam-3250	11	15	among	among	ADP
ejpam-3250	11	16	several	several	ADJ
ejpam-3250	11	17	shadows	shadow	NOUN
ejpam-3250	11	18	such	such	ADJ
ejpam-3250	11	19	that	that	SCONJ
ejpam-3250	11	20	the	the	DET
ejpam-3250	11	21	secret	secret	NOUN
ejpam-3250	11	22	can	can	AUX
ejpam-3250	11	23	be	be	AUX
ejpam-3250	11	24	retrieved	retrieve	VERB
ejpam-3250	11	25	only	only	ADV
ejpam-3250	11	26	by	by	ADP
ejpam-3250	11	27	some	some	DET
ejpam-3250	11	28	subsets	subset	NOUN
ejpam-3250	11	29	of	of	ADP
ejpam-3250	11	30	these	these	DET
ejpam-3250	11	31	shadows	shadow	NOUN
ejpam-3250	11	32	.	.	PUNCT
ejpam-3250	12	1	secret	secret	ADJ
ejpam-3250	12	2	sharing	sharing	NOUN
ejpam-3250	12	3	is	be	AUX
ejpam-3250	12	4	useful	useful	ADJ
ejpam-3250	12	5	in	in	ADP
ejpam-3250	12	6	many	many	ADJ
ejpam-3250	12	7	cryptographic	cryptographic	ADJ
ejpam-3250	12	8	applications	application	NOUN
ejpam-3250	12	9	[	[	X
ejpam-3250	12	10	2	2	NUM
ejpam-3250	12	11	]	]	PUNCT
ejpam-3250	12	12	,	,	PUNCT
ejpam-3250	12	13	[	[	X
ejpam-3250	12	14	17	17	NUM
ejpam-3250	12	15	]	]	PUNCT
ejpam-3250	12	16	,	,	PUNCT
ejpam-3250	12	17	[	[	X
ejpam-3250	12	18	18	18	NUM
ejpam-3250	12	19	]	]	PUNCT
ejpam-3250	12	20	,	,	PUNCT
ejpam-3250	12	21	[	[	X
ejpam-3250	12	22	5	5	NUM
ejpam-3250	12	23	]	]	PUNCT
ejpam-3250	12	24	.	.	PUNCT
ejpam-3250	13	1	there	there	PRON
ejpam-3250	13	2	are	be	VERB
ejpam-3250	13	3	numerous	numerous	ADJ
ejpam-3250	13	4	studies	study	NOUN
ejpam-3250	13	5	about	about	ADP
ejpam-3250	13	6	secret	secret	ADJ
ejpam-3250	13	7	sharing	sharing	NOUN
ejpam-3250	13	8	schemes	scheme	NOUN
ejpam-3250	13	9	.	.	PUNCT
ejpam-3250	14	1	several	several	ADJ
ejpam-3250	14	2	authors	author	NOUN
ejpam-3250	14	3	have	have	AUX
ejpam-3250	14	4	considered	consider	VERB
ejpam-3250	14	5	the	the	DET
ejpam-3250	14	6	construction	construction	NOUN
ejpam-3250	14	7	of	of	ADP
ejpam-3250	14	8	secret	secret	ADJ
ejpam-3250	14	9	sharing	sharing	NOUN
ejpam-3250	14	10	schemes	scheme	NOUN
ejpam-3250	14	11	using	use	VERB
ejpam-3250	14	12	linear	linear	NOUN
ejpam-3250	14	13	error	error	NOUN
ejpam-3250	14	14	correcting	correcting	NOUN
ejpam-3250	14	15	codes	code	NOUN
ejpam-3250	14	16	.	.	PUNCT
ejpam-3250	15	1	[	[	X
ejpam-3250	15	2	4	4	NUM
ejpam-3250	15	3	]	]	PUNCT
ejpam-3250	15	4	,	,	PUNCT
ejpam-3250	15	5	[	[	X
ejpam-3250	15	6	8	8	NUM
ejpam-3250	15	7	]	]	PUNCT
ejpam-3250	15	8	,	,	PUNCT
ejpam-3250	15	9	[	[	X
ejpam-3250	15	10	10	10	NUM
ejpam-3250	15	11	]	]	PUNCT
ejpam-3250	15	12	,	,	PUNCT
ejpam-3250	15	13	[	[	X
ejpam-3250	15	14	11	11	NUM
ejpam-3250	15	15	]	]	PUNCT
ejpam-3250	15	16	,	,	PUNCT
ejpam-3250	15	17	[	[	X
ejpam-3250	15	18	13	13	NUM
ejpam-3250	15	19	]	]	PUNCT
ejpam-3250	15	20	,	,	PUNCT
ejpam-3250	15	21	[	[	X
ejpam-3250	15	22	15	15	NUM
ejpam-3250	15	23	]	]	PUNCT
ejpam-3250	15	24	.	.	PUNCT
ejpam-3250	16	1	shamir	shamir	PROPN
ejpam-3250	17	1	[	[	X
ejpam-3250	17	2	17	17	NUM
ejpam-3250	17	3	]	]	PUNCT
ejpam-3250	17	4	and	and	CCONJ
ejpam-3250	17	5	blakley	blakley	ADJ
ejpam-3250	17	6	[	[	X
ejpam-3250	17	7	2	2	NUM
ejpam-3250	17	8	]	]	PUNCT
ejpam-3250	17	9	were	be	AUX
ejpam-3250	17	10	introduced	introduce	VERB
ejpam-3250	17	11	secret	secret	ADJ
ejpam-3250	17	12	sharing	sharing	NOUN
ejpam-3250	17	13	schemes	scheme	NOUN
ejpam-3250	17	14	.	.	PUNCT
ejpam-3250	18	1	massey	massey	NOUN
ejpam-3250	19	1	[	[	X
ejpam-3250	19	2	10	10	NUM
ejpam-3250	19	3	]	]	PUNCT
ejpam-3250	19	4	used	use	VERB
ejpam-3250	19	5	linear	linear	PROPN
ejpam-3250	19	6	codes	code	NOUN
ejpam-3250	19	7	for	for	ADP
ejpam-3250	19	8	secret	secret	ADJ
ejpam-3250	19	9	sharing	sharing	NOUN
ejpam-3250	19	10	and	and	CCONJ
ejpam-3250	19	11	explained	explain	VERB
ejpam-3250	19	12	the	the	DET
ejpam-3250	19	13	relationship	relationship	NOUN
ejpam-3250	19	14	between	between	ADP
ejpam-3250	19	15	the	the	DET
ejpam-3250	19	16	access	access	NOUN
ejpam-3250	19	17	structure	structure	NOUN
ejpam-3250	19	18	and	and	CCONJ
ejpam-3250	19	19	the	the	DET
ejpam-3250	19	20	minimal	minimal	ADJ
ejpam-3250	19	21	codewords	codeword	NOUN
ejpam-3250	19	22	of	of	ADP
ejpam-3250	19	23	the	the	DET
ejpam-3250	19	24	dual	dual	ADJ
ejpam-3250	19	25	code	code	NOUN
ejpam-3250	19	26	of	of	ADP
ejpam-3250	19	27	the	the	DET
ejpam-3250	19	28	underlying	underlie	VERB
ejpam-3250	19	29	code	code	NOUN
ejpam-3250	20	1	[	[	X
ejpam-3250	20	2	15	15	NUM
ejpam-3250	20	3	]	]	PUNCT
ejpam-3250	20	4	,	,	PUNCT
ejpam-3250	21	1	[	[	X
ejpam-3250	21	2	6	6	NUM
ejpam-3250	21	3	]	]	PUNCT
ejpam-3250	21	4	.	.	PUNCT
ejpam-3250	22	1	another	another	DET
ejpam-3250	22	2	secret	secret	ADJ
ejpam-3250	22	3	sharing	sharing	NOUN
ejpam-3250	22	4	scheme	scheme	NOUN
ejpam-3250	22	5	is	be	AUX
ejpam-3250	22	6	the	the	DET
ejpam-3250	22	7	multisecret	multisecret	ADJ
ejpam-3250	22	8	-	-	PUNCT
ejpam-3250	22	9	sharing	sharing	NOUN
ejpam-3250	22	10	scheme	scheme	NOUN
ejpam-3250	22	11	.	.	PUNCT
ejpam-3250	23	1	this	this	DET
ejpam-3250	23	2	scheme	scheme	NOUN
ejpam-3250	23	3	was	be	AUX
ejpam-3250	23	4	proposed	propose	VERB
ejpam-3250	23	5	in	in	ADP
ejpam-3250	23	6	[	[	X
ejpam-3250	23	7	5	5	NUM
ejpam-3250	23	8	]	]	PUNCT
ejpam-3250	23	9	,	,	PUNCT
ejpam-3250	23	10	[	[	X
ejpam-3250	23	11	7	7	NUM
ejpam-3250	23	12	]	]	PUNCT
ejpam-3250	23	13	,	,	PUNCT
ejpam-3250	24	1	[	[	X
ejpam-3250	24	2	9	9	NUM
ejpam-3250	24	3	]	]	PUNCT
ejpam-3250	24	4	,	,	PUNCT
ejpam-3250	24	5	[	[	X
ejpam-3250	24	6	16	16	NUM
ejpam-3250	24	7	]	]	PUNCT
ejpam-3250	24	8	,	,	PUNCT
ejpam-3250	24	9	[	[	X
ejpam-3250	24	10	19	19	NUM
ejpam-3250	24	11	]	]	PUNCT
ejpam-3250	24	12	,	,	PUNCT
ejpam-3250	25	1	[	[	X
ejpam-3250	25	2	3	3	NUM
ejpam-3250	25	3	]	]	PUNCT
ejpam-3250	25	4	.	.	PUNCT
ejpam-3250	26	1	in	in	ADP
ejpam-3250	26	2	the	the	DET
ejpam-3250	26	3	multisecret	multisecret	ADJ
ejpam-3250	26	4	-	-	PUNCT
ejpam-3250	26	5	sharing	share	VERB
ejpam-3250	26	6	schemes	scheme	NOUN
ejpam-3250	26	7	[	[	X
ejpam-3250	26	8	9	9	NUM
ejpam-3250	26	9	]	]	PUNCT
ejpam-3250	26	10	,	,	PUNCT
ejpam-3250	26	11	[	[	X
ejpam-3250	26	12	16	16	NUM
ejpam-3250	26	13	]	]	PUNCT
ejpam-3250	26	14	,	,	PUNCT
ejpam-3250	26	15	[	[	X
ejpam-3250	26	16	1	1	X
ejpam-3250	26	17	]	]	PUNCT
ejpam-3250	26	18	there	there	PRON
ejpam-3250	26	19	is	be	VERB
ejpam-3250	26	20	a	a	DET
ejpam-3250	26	21	set	set	NOUN
ejpam-3250	26	22	of	of	ADP
ejpam-3250	26	23	p	p	NOUN
ejpam-3250	26	24	secrets	secret	NOUN
ejpam-3250	26	25	can	can	AUX
ejpam-3250	26	26	be	be	AUX
ejpam-3250	26	27	shared	share	VERB
ejpam-3250	26	28	at	at	ADP
ejpam-3250	26	29	once	once	ADV
ejpam-3250	26	30	and	and	CCONJ
ejpam-3250	26	31	each	each	DET
ejpam-3250	26	32	participant	participant	NOUN
ejpam-3250	26	33	needs	need	VERB
ejpam-3250	26	34	to	to	PART
ejpam-3250	26	35	keep	keep	VERB
ejpam-3250	26	36	one	one	NUM
ejpam-3250	26	37	share	share	NOUN
ejpam-3250	26	38	∗corresponding	∗corresponde	VERB
ejpam-3250	26	39	author	author	NOUN
ejpam-3250	26	40	.	.	PUNCT
ejpam-3250	27	1	email	email	NOUN
ejpam-3250	27	2	addresses	address	NOUN
ejpam-3250	27	3	:	:	PUNCT
ejpam-3250	27	4	selda.calkavur@kocaeli.edu.tr	selda.calkavur@kocaeli.edu.tr	X
ejpam-3250	27	5	(	(	PUNCT
ejpam-3250	27	6	s.	s.	PROPN
ejpam-3250	27	7	çalkavur	çalkavur	PROPN
ejpam-3250	27	8	)	)	PUNCT
ejpam-3250	27	9	fatih.molla@hotmail.com	fatih.molla@hotmail.com	PROPN
ejpam-3250	27	10	(	(	PUNCT
ejpam-3250	27	11	f.	f.	PROPN
ejpam-3250	27	12	molla	molla	PROPN
ejpam-3250	27	13	)	)	PUNCT
ejpam-3250	27	14	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-3250	28	1	468	468	NUM
ejpam-3250	29	1	c	c	AUX
ejpam-3250	29	2	©	©	PROPN
ejpam-3250	29	3	2018	2018	NUM
ejpam-3250	29	4	ejpam	ejpam	VERB
ejpam-3250	29	5	all	all	DET
ejpam-3250	29	6	rights	right	NOUN
ejpam-3250	29	7	reserved	reserve	VERB
ejpam-3250	29	8	.	.	PUNCT
ejpam-3250	30	1	f.	f.	PROPN
ejpam-3250	30	2	molla	molla	PROPN
ejpam-3250	30	3	,	,	PUNCT
ejpam-3250	30	4	s.	s.	PROPN
ejpam-3250	30	5	çalkavur	çalkavur	PROPN
ejpam-3250	30	6	/	/	SYM
ejpam-3250	30	7	eur	eur	PROPN
ejpam-3250	30	8	.	.	PUNCT
ejpam-3250	31	1	j.	j.	PROPN
ejpam-3250	31	2	pure	pure	PROPN
ejpam-3250	31	3	appl	appl	PROPN
ejpam-3250	31	4	.	.	PROPN
ejpam-3250	31	5	math	math	PROPN
ejpam-3250	31	6	,	,	PUNCT
ejpam-3250	31	7	11	11	NUM
ejpam-3250	31	8	(	(	PUNCT
ejpam-3250	31	9	2	2	NUM
ejpam-3250	31	10	)	)	PUNCT
ejpam-3250	31	11	(	(	PUNCT
ejpam-3250	31	12	2018	2018	NUM
ejpam-3250	31	13	)	)	PUNCT
ejpam-3250	31	14	,	,	PUNCT
ejpam-3250	31	15	468	468	NUM
ejpam-3250	31	16	-	-	SYM
ejpam-3250	31	17	475	475	NUM
ejpam-3250	31	18	469	469	NUM
ejpam-3250	31	19	is	be	AUX
ejpam-3250	31	20	called	call	VERB
ejpam-3250	31	21	secret	secret	ADJ
ejpam-3250	31	22	share	share	NOUN
ejpam-3250	31	23	.	.	PUNCT
ejpam-3250	32	1	in	in	ADP
ejpam-3250	32	2	these	these	DET
ejpam-3250	32	3	schemes	scheme	NOUN
ejpam-3250	32	4	all	all	PRON
ejpam-3250	32	5	p	p	NOUN
ejpam-3250	32	6	secrets	secret	NOUN
ejpam-3250	32	7	can	can	AUX
ejpam-3250	32	8	not	not	PART
ejpam-3250	32	9	reconstruct	reconstruct	VERB
ejpam-3250	32	10	.	.	PUNCT
ejpam-3250	33	1	to	to	PART
ejpam-3250	33	2	recover	recover	VERB
ejpam-3250	33	3	the	the	DET
ejpam-3250	33	4	secret	secret	NOUN
ejpam-3250	33	5	the	the	DET
ejpam-3250	33	6	participants	participant	NOUN
ejpam-3250	33	7	need	need	VERB
ejpam-3250	33	8	to	to	PART
ejpam-3250	33	9	keep	keep	VERB
ejpam-3250	33	10	one	one	NUM
ejpam-3250	33	11	share	share	NOUN
ejpam-3250	33	12	is	be	AUX
ejpam-3250	33	13	called	call	VERB
ejpam-3250	33	14	secret	secret	ADJ
ejpam-3250	33	15	share	share	NOUN
ejpam-3250	33	16	.	.	PUNCT
ejpam-3250	34	1	in	in	ADP
ejpam-3250	34	2	these	these	DET
ejpam-3250	34	3	schemes	scheme	NOUN
ejpam-3250	34	4	all	all	PRON
ejpam-3250	34	5	p	p	NOUN
ejpam-3250	34	6	secrets	secret	NOUN
ejpam-3250	34	7	can	can	AUX
ejpam-3250	34	8	not	not	PART
ejpam-3250	34	9	reconstruct	reconstruct	VERB
ejpam-3250	34	10	.	.	PUNCT
ejpam-3250	35	1	to	to	PART
ejpam-3250	35	2	recover	recover	VERB
ejpam-3250	35	3	the	the	DET
ejpam-3250	35	4	secret	secret	NOUN
ejpam-3250	35	5	the	the	DET
ejpam-3250	35	6	participants	participant	NOUN
ejpam-3250	35	7	need	need	VERB
ejpam-3250	35	8	to	to	PART
ejpam-3250	35	9	submit	submit	VERB
ejpam-3250	35	10	a	a	DET
ejpam-3250	35	11	pseudo	pseudo	NOUN
ejpam-3250	35	12	-	-	NOUN
ejpam-3250	35	13	share	share	NOUN
ejpam-3250	35	14	computed	compute	VERB
ejpam-3250	35	15	from	from	ADP
ejpam-3250	35	16	their	their	PRON
ejpam-3250	35	17	secret	secret	ADJ
ejpam-3250	35	18	share	share	NOUN
ejpam-3250	35	19	instead	instead	ADV
ejpam-3250	35	20	of	of	ADP
ejpam-3250	35	21	the	the	DET
ejpam-3250	35	22	secret	secret	ADJ
ejpam-3250	35	23	share	share	NOUN
ejpam-3250	35	24	itself	itself	PRON
ejpam-3250	35	25	.	.	PUNCT
ejpam-3250	36	1	in	in	ADP
ejpam-3250	36	2	this	this	DET
ejpam-3250	36	3	work	work	NOUN
ejpam-3250	36	4	,	,	PUNCT
ejpam-3250	36	5	we	we	PRON
ejpam-3250	36	6	present	present	VERB
ejpam-3250	36	7	a	a	DET
ejpam-3250	36	8	new	new	ADJ
ejpam-3250	36	9	approach	approach	NOUN
ejpam-3250	36	10	to	to	PART
ejpam-3250	36	11	construct	construct	VERB
ejpam-3250	36	12	secret	secret	ADJ
ejpam-3250	36	13	sharing	sharing	NOUN
ejpam-3250	36	14	schemes	scheme	NOUN
ejpam-3250	36	15	.	.	PUNCT
ejpam-3250	37	1	we	we	PRON
ejpam-3250	37	2	use	use	VERB
ejpam-3250	37	3	the	the	DET
ejpam-3250	37	4	system	system	NOUN
ejpam-3250	37	5	of	of	ADP
ejpam-3250	37	6	shamir	shamir	PROPN
ejpam-3250	37	7	’s	’s	PART
ejpam-3250	37	8	scheme	scheme	NOUN
ejpam-3250	37	9	.	.	PUNCT
ejpam-3250	38	1	so	so	ADV
ejpam-3250	38	2	our	our	PRON
ejpam-3250	38	3	scheme	scheme	NOUN
ejpam-3250	38	4	is	be	AUX
ejpam-3250	38	5	a	a	DET
ejpam-3250	38	6	(	(	PUNCT
ejpam-3250	38	7	k	k	NOUN
ejpam-3250	38	8	,	,	PUNCT
ejpam-3250	38	9	n)-threshold	n)-threshold	ADJ
ejpam-3250	38	10	scheme	scheme	NOUN
ejpam-3250	38	11	.	.	PUNCT
ejpam-3250	39	1	the	the	DET
ejpam-3250	39	2	rest	rest	NOUN
ejpam-3250	39	3	of	of	ADP
ejpam-3250	39	4	this	this	DET
ejpam-3250	39	5	paper	paper	NOUN
ejpam-3250	39	6	organized	organize	VERB
ejpam-3250	39	7	as	as	SCONJ
ejpam-3250	39	8	follows	follow	VERB
ejpam-3250	39	9	.	.	PUNCT
ejpam-3250	40	1	the	the	DET
ejpam-3250	40	2	next	next	ADJ
ejpam-3250	40	3	section	section	NOUN
ejpam-3250	40	4	gives	give	VERB
ejpam-3250	40	5	the	the	DET
ejpam-3250	40	6	basic	basic	ADJ
ejpam-3250	40	7	preliminaries	preliminary	NOUN
ejpam-3250	40	8	used	use	VERB
ejpam-3250	40	9	in	in	ADP
ejpam-3250	40	10	paper	paper	NOUN
ejpam-3250	40	11	.	.	PUNCT
ejpam-3250	41	1	section	section	NOUN
ejpam-3250	41	2	iii	iii	PROPN
ejpam-3250	41	3	presents	present	NOUN
ejpam-3250	41	4	secret	secret	ADJ
ejpam-3250	41	5	sharing	sharing	NOUN
ejpam-3250	41	6	scheme	scheme	NOUN
ejpam-3250	41	7	based	base	VERB
ejpam-3250	41	8	on	on	ADP
ejpam-3250	41	9	field	field	NOUN
ejpam-3250	41	10	extensions	extension	NOUN
ejpam-3250	41	11	.	.	PUNCT
ejpam-3250	42	1	section	section	NOUN
ejpam-3250	42	2	iv	iv	NUM
ejpam-3250	42	3	collects	collect	VERB
ejpam-3250	42	4	concluding	conclude	VERB
ejpam-3250	42	5	remarks	remark	NOUN
ejpam-3250	42	6	.	.	PUNCT
ejpam-3250	43	1	2	2	X
ejpam-3250	43	2	.	.	X
ejpam-3250	43	3	background	background	NOUN
ejpam-3250	43	4	and	and	CCONJ
ejpam-3250	43	5	preliminaries	preliminary	NOUN
ejpam-3250	43	6	in	in	ADP
ejpam-3250	43	7	this	this	DET
ejpam-3250	43	8	section	section	NOUN
ejpam-3250	43	9	we	we	PRON
ejpam-3250	43	10	give	give	VERB
ejpam-3250	43	11	the	the	DET
ejpam-3250	43	12	basic	basic	ADJ
ejpam-3250	43	13	preliminaries	preliminary	NOUN
ejpam-3250	43	14	.	.	PUNCT
ejpam-3250	44	1	in	in	ADP
ejpam-3250	44	2	this	this	DET
ejpam-3250	44	3	context	context	NOUN
ejpam-3250	44	4	we	we	PRON
ejpam-3250	44	5	remind	remind	VERB
ejpam-3250	44	6	shamir	shamir	PROPN
ejpam-3250	44	7	’s	’s	PART
ejpam-3250	44	8	secret	secret	ADJ
ejpam-3250	44	9	sharing	sharing	NOUN
ejpam-3250	44	10	scheme	scheme	NOUN
ejpam-3250	44	11	.	.	PUNCT
ejpam-3250	45	1	2.1	2.1	NUM
ejpam-3250	45	2	.	.	PUNCT
ejpam-3250	46	1	shamir	shamir	PROPN
ejpam-3250	46	2	’s	’s	PART
ejpam-3250	46	3	secret	secret	ADJ
ejpam-3250	46	4	sharing	sharing	NOUN
ejpam-3250	46	5	scheme	scheme	NOUN
ejpam-3250	46	6	in	in	ADP
ejpam-3250	46	7	a	a	DET
ejpam-3250	46	8	secret	secret	ADJ
ejpam-3250	46	9	sharing	sharing	NOUN
ejpam-3250	46	10	scheme	scheme	NOUN
ejpam-3250	46	11	,	,	PUNCT
ejpam-3250	46	12	a	a	DET
ejpam-3250	46	13	secret	secret	NOUN
ejpam-3250	46	14	s	s	PART
ejpam-3250	46	15	is	be	AUX
ejpam-3250	46	16	divided	divide	VERB
ejpam-3250	46	17	into	into	ADP
ejpam-3250	46	18	n	n	ADP
ejpam-3250	46	19	shares	share	NOUN
ejpam-3250	46	20	and	and	CCONJ
ejpam-3250	46	21	distributed	distribute	VERB
ejpam-3250	46	22	to	to	ADP
ejpam-3250	46	23	n	n	PRON
ejpam-3250	46	24	shareholders	shareholder	NOUN
ejpam-3250	46	25	by	by	ADP
ejpam-3250	46	26	a	a	DET
ejpam-3250	46	27	trusted	trust	VERB
ejpam-3250	46	28	dealer	dealer	NOUN
ejpam-3250	46	29	.	.	PUNCT
ejpam-3250	47	1	the	the	DET
ejpam-3250	47	2	shared	share	VERB
ejpam-3250	47	3	secret	secret	NOUN
ejpam-3250	47	4	s	s	PART
ejpam-3250	47	5	can	can	AUX
ejpam-3250	47	6	only	only	ADV
ejpam-3250	47	7	be	be	AUX
ejpam-3250	47	8	recovered	recover	VERB
ejpam-3250	47	9	when	when	SCONJ
ejpam-3250	47	10	k	k	PROPN
ejpam-3250	47	11	(	(	PUNCT
ejpam-3250	47	12	k	k	X
ejpam-3250	47	13	<	<	X
ejpam-3250	47	14	n	n	CCONJ
ejpam-3250	47	15	)	)	PUNCT
ejpam-3250	47	16	or	or	CCONJ
ejpam-3250	47	17	more	more	ADJ
ejpam-3250	47	18	than	than	SCONJ
ejpam-3250	47	19	k	k	PROPN
ejpam-3250	47	20	shares	share	NOUN
ejpam-3250	47	21	are	be	AUX
ejpam-3250	47	22	available	available	ADJ
ejpam-3250	47	23	.	.	PUNCT
ejpam-3250	48	1	such	such	DET
ejpam-3250	48	2	a	a	DET
ejpam-3250	48	3	scheme	scheme	NOUN
ejpam-3250	48	4	is	be	AUX
ejpam-3250	48	5	called	call	VERB
ejpam-3250	48	6	a	a	DET
ejpam-3250	48	7	(	(	PUNCT
ejpam-3250	48	8	k	k	NOUN
ejpam-3250	48	9	,	,	PUNCT
ejpam-3250	48	10	n)-secret	n)-secret	ADJ
ejpam-3250	48	11	sharing	sharing	NOUN
ejpam-3250	48	12	.	.	PUNCT
ejpam-3250	49	1	in	in	ADP
ejpam-3250	49	2	1979	1979	NUM
ejpam-3250	49	3	,	,	PUNCT
ejpam-3250	49	4	shamir	shamir	PROPN
ejpam-3250	49	5	introduced	introduce	VERB
ejpam-3250	49	6	a	a	DET
ejpam-3250	49	7	secret	secret	ADJ
ejpam-3250	49	8	sharing	sharing	NOUN
ejpam-3250	49	9	scheme	scheme	NOUN
ejpam-3250	49	10	.	.	PUNCT
ejpam-3250	50	1	shamir	shamir	PROPN
ejpam-3250	50	2	’s	’s	PART
ejpam-3250	50	3	secret	secret	ADJ
ejpam-3250	50	4	sharing	sharing	NOUN
ejpam-3250	50	5	scheme	scheme	NOUN
ejpam-3250	50	6	is	be	AUX
ejpam-3250	50	7	an	an	DET
ejpam-3250	50	8	effective	effective	ADJ
ejpam-3250	50	9	way	way	NOUN
ejpam-3250	50	10	to	to	PART
ejpam-3250	50	11	distribute	distribute	VERB
ejpam-3250	50	12	secret	secret	NOUN
ejpam-3250	50	13	to	to	ADP
ejpam-3250	50	14	a	a	DET
ejpam-3250	50	15	group	group	NOUN
ejpam-3250	50	16	of	of	ADP
ejpam-3250	50	17	shareholders	shareholder	NOUN
ejpam-3250	50	18	.	.	PUNCT
ejpam-3250	51	1	shamir	shamir	PROPN
ejpam-3250	51	2	’s	’s	PART
ejpam-3250	51	3	scheme	scheme	NOUN
ejpam-3250	51	4	is	be	AUX
ejpam-3250	51	5	a	a	DET
ejpam-3250	51	6	(	(	PUNCT
ejpam-3250	51	7	k	k	NOUN
ejpam-3250	51	8	,	,	PUNCT
ejpam-3250	51	9	n	n	CCONJ
ejpam-3250	51	10	)	)	PUNCT
ejpam-3250	51	11	threshold	threshold	NOUN
ejpam-3250	51	12	secret	secret	ADJ
ejpam-3250	51	13	sharing	sharing	NOUN
ejpam-3250	51	14	scheme	scheme	NOUN
ejpam-3250	51	15	and	and	CCONJ
ejpam-3250	51	16	this	this	DET
ejpam-3250	51	17	scheme	scheme	NOUN
ejpam-3250	51	18	was	be	AUX
ejpam-3250	51	19	based	base	VERB
ejpam-3250	51	20	on	on	ADP
ejpam-3250	51	21	polynomial	polynomial	ADJ
ejpam-3250	51	22	interpolation	interpolation	NOUN
ejpam-3250	51	23	.	.	PUNCT
ejpam-3250	52	1	in	in	ADP
ejpam-3250	52	2	the	the	DET
ejpam-3250	52	3	shamir	shamir	NOUN
ejpam-3250	52	4	’s	’s	PART
ejpam-3250	52	5	secret	secret	ADJ
ejpam-3250	52	6	sharing	sharing	NOUN
ejpam-3250	52	7	[	[	X
ejpam-3250	52	8	17	17	NUM
ejpam-3250	52	9	]	]	PUNCT
ejpam-3250	52	10	,	,	PUNCT
ejpam-3250	52	11	there	there	PRON
ejpam-3250	52	12	are	be	VERB
ejpam-3250	52	13	n	n	PRON
ejpam-3250	52	14	shareholders	shareholder	NOUN
ejpam-3250	52	15	p	p	X
ejpam-3250	52	16	=	=	PUNCT
ejpam-3250	52	17	{	{	PUNCT
ejpam-3250	52	18	p0	p0	NOUN
ejpam-3250	52	19	,	,	PUNCT
ejpam-3250	52	20	p1	p1	NOUN
ejpam-3250	52	21	,	,	PUNCT
ejpam-3250	52	22	.	.	PUNCT
ejpam-3250	52	23	.	.	PUNCT
ejpam-3250	53	1	.	.	PUNCT
ejpam-3250	54	1	,	,	PUNCT
ejpam-3250	54	2	pn−1	pn−1	ADJ
ejpam-3250	54	3	}	}	PUNCT
ejpam-3250	54	4	and	and	CCONJ
ejpam-3250	54	5	a	a	DET
ejpam-3250	54	6	trusted	trust	VERB
ejpam-3250	54	7	dealer	dealer	NOUN
ejpam-3250	54	8	d.	d.	NOUN
ejpam-3250	54	9	we	we	PRON
ejpam-3250	54	10	use	use	VERB
ejpam-3250	54	11	the	the	DET
ejpam-3250	54	12	shareholders	shareholder	NOUN
ejpam-3250	54	13	’	'	PUNCT
ejpam-3250	54	14	ids	id	NOUN
ejpam-3250	54	15	(	(	PUNCT
ejpam-3250	54	16	z0	z0	PROPN
ejpam-3250	54	17	,	,	PUNCT
ejpam-3250	54	18	z1	z1	NOUN
ejpam-3250	54	19	,	,	PUNCT
ejpam-3250	54	20	.	.	PUNCT
ejpam-3250	54	21	.	.	PUNCT
ejpam-3250	55	1	.	.	PUNCT
ejpam-3250	56	1	,	,	PUNCT
ejpam-3250	56	2	zn−1	zn−1	PROPN
ejpam-3250	56	3	)	)	PUNCT
ejpam-3250	56	4	to	to	PART
ejpam-3250	56	5	denote	denote	VERB
ejpam-3250	56	6	each	each	DET
ejpam-3250	56	7	participant	participant	NOUN
ejpam-3250	56	8	.	.	PUNCT
ejpam-3250	57	1	secret	secret	ADJ
ejpam-3250	57	2	is	be	AUX
ejpam-3250	57	3	generated	generate	VERB
ejpam-3250	57	4	and	and	CCONJ
ejpam-3250	57	5	distributed	distribute	VERB
ejpam-3250	57	6	to	to	ADP
ejpam-3250	57	7	shareholders	shareholder	NOUN
ejpam-3250	57	8	by	by	ADP
ejpam-3250	57	9	the	the	DET
ejpam-3250	57	10	dealer	dealer	NOUN
ejpam-3250	57	11	d	d	PROPN
ejpam-3250	57	12	secret	secret	NOUN
ejpam-3250	57	13	can	can	AUX
ejpam-3250	57	14	be	be	AUX
ejpam-3250	57	15	reconstructed	reconstruct	VERB
ejpam-3250	57	16	based	base	VERB
ejpam-3250	57	17	on	on	ADP
ejpam-3250	57	18	lagrange	lagrange	NOUN
ejpam-3250	57	19	interpolation	interpolation	NOUN
ejpam-3250	57	20	polynomial	polynomial	NOUN
ejpam-3250	57	21	by	by	ADP
ejpam-3250	57	22	taking	take	VERB
ejpam-3250	57	23	any	any	DET
ejpam-3250	57	24	k	k	PROPN
ejpam-3250	57	25	shares	share	NOUN
ejpam-3250	57	26	(	(	PUNCT
ejpam-3250	57	27	αi0	αi0	NOUN
ejpam-3250	57	28	,	,	PUNCT
ejpam-3250	57	29	.	.	PUNCT
ejpam-3250	57	30	.	.	PUNCT
ejpam-3250	58	1	.	.	PUNCT
ejpam-3250	59	1	,	,	PUNCT
ejpam-3250	59	2	αin−1	αin−1	PROPN
ejpam-3250	59	3	)	)	PUNCT
ejpam-3250	59	4	of	of	ADP
ejpam-3250	59	5	participants	participant	NOUN
ejpam-3250	59	6	and	and	CCONJ
ejpam-3250	59	7	their	their	PRON
ejpam-3250	59	8	ids	id	NOUN
ejpam-3250	59	9	,	,	PUNCT
ejpam-3250	59	10	(	(	PUNCT
ejpam-3250	59	11	zi0	zi0	INTJ
ejpam-3250	59	12	,	,	PUNCT
ejpam-3250	59	13	.	.	PUNCT
ejpam-3250	59	14	.	.	PUNCT
ejpam-3250	59	15	.	.	PUNCT
ejpam-3250	60	1	,	,	PUNCT
ejpam-3250	60	2	zin−1	zin−1	PROPN
ejpam-3250	60	3	)	)	PUNCT
ejpam-3250	60	4	where	where	SCONJ
ejpam-3250	60	5	{	{	PUNCT
ejpam-3250	60	6	i0	i0	PROPN
ejpam-3250	60	7	,	,	PUNCT
ejpam-3250	60	8	.	.	PUNCT
ejpam-3250	60	9	.	.	PUNCT
ejpam-3250	61	1	.	.	PUNCT
ejpam-3250	62	1	,	,	PUNCT
ejpam-3250	62	2	ik−1	ik−1	PROPN
ejpam-3250	62	3	}	}	PUNCT
ejpam-3250	62	4	⊆	⊆	NUM
ejpam-3250	62	5	{	{	PUNCT
ejpam-3250	62	6	0	0	NUM
ejpam-3250	62	7	,	,	PUNCT
ejpam-3250	62	8	1	1	NUM
ejpam-3250	62	9	,	,	PUNCT
ejpam-3250	62	10	.	.	PUNCT
ejpam-3250	62	11	.	.	PUNCT
ejpam-3250	63	1	.	.	PUNCT
ejpam-3250	64	1	,	,	PUNCT
ejpam-3250	64	2	n−	n−	NOUN
ejpam-3250	64	3	1	1	NUM
ejpam-3250	64	4	}	}	PUNCT
ejpam-3250	64	5	[	[	X
ejpam-3250	64	6	17	17	NUM
ejpam-3250	64	7	]	]	PUNCT
ejpam-3250	64	8	,	,	PUNCT
ejpam-3250	64	9	[	[	X
ejpam-3250	64	10	18	18	NUM
ejpam-3250	64	11	]	]	PUNCT
ejpam-3250	64	12	,	,	PUNCT
ejpam-3250	64	13	[	[	X
ejpam-3250	64	14	5	5	NUM
ejpam-3250	64	15	]	]	PUNCT
ejpam-3250	64	16	.	.	PUNCT
ejpam-3250	65	1	shamir	shamir	PROPN
ejpam-3250	65	2	’s	’s	PART
ejpam-3250	65	3	secret	secret	ADJ
ejpam-3250	65	4	sharing	sharing	NOUN
ejpam-3250	65	5	scheme	scheme	NOUN
ejpam-3250	65	6	provides	provide	VERB
ejpam-3250	65	7	a	a	DET
ejpam-3250	65	8	method	method	NOUN
ejpam-3250	65	9	of	of	ADP
ejpam-3250	65	10	hiding	hide	VERB
ejpam-3250	65	11	this	this	DET
ejpam-3250	65	12	secret	secret	NOUN
ejpam-3250	65	13	such	such	ADJ
ejpam-3250	65	14	that	that	SCONJ
ejpam-3250	65	15	any	any	DET
ejpam-3250	65	16	k	k	PROPN
ejpam-3250	65	17	or	or	CCONJ
ejpam-3250	65	18	more	more	ADJ
ejpam-3250	65	19	participants	participant	NOUN
ejpam-3250	65	20	would	would	AUX
ejpam-3250	65	21	be	be	AUX
ejpam-3250	65	22	able	able	ADJ
ejpam-3250	65	23	to	to	PART
ejpam-3250	65	24	reconstruct	reconstruct	VERB
ejpam-3250	65	25	the	the	DET
ejpam-3250	65	26	original	original	ADJ
ejpam-3250	65	27	secret	secret	NOUN
ejpam-3250	65	28	but	but	CCONJ
ejpam-3250	65	29	any	any	PRON
ejpam-3250	65	30	less	less	ADJ
ejpam-3250	65	31	than	than	SCONJ
ejpam-3250	65	32	k	k	PROPN
ejpam-3250	65	33	participants	participant	NOUN
ejpam-3250	65	34	would	would	AUX
ejpam-3250	65	35	not	not	PART
ejpam-3250	65	36	be	be	AUX
ejpam-3250	65	37	able	able	ADJ
ejpam-3250	65	38	to	to	PART
ejpam-3250	65	39	reconstruct	reconstruct	VERB
ejpam-3250	65	40	the	the	DET
ejpam-3250	65	41	original	original	ADJ
ejpam-3250	65	42	secret	secret	NOUN
ejpam-3250	65	43	.	.	PUNCT
ejpam-3250	66	1	assume	assume	VERB
ejpam-3250	66	2	all	all	DET
ejpam-3250	66	3	the	the	DET
ejpam-3250	66	4	computations	computation	NOUN
ejpam-3250	66	5	are	be	AUX
ejpam-3250	66	6	in	in	ADP
ejpam-3250	66	7	gf	gf	PROPN
ejpam-3250	66	8	(	(	PUNCT
ejpam-3250	66	9	pm	pm	NOUN
ejpam-3250	66	10	)	)	PUNCT
ejpam-3250	66	11	(	(	PUNCT
ejpam-3250	66	12	n	n	CCONJ
ejpam-3250	66	13	<	<	X
ejpam-3250	66	14	pm	pm	NOUN
ejpam-3250	66	15	)	)	PUNCT
ejpam-3250	66	16	(	(	PUNCT
ejpam-3250	66	17	p	p	NOUN
ejpam-3250	66	18	is	be	AUX
ejpam-3250	66	19	prime	prime	ADJ
ejpam-3250	66	20	)	)	PUNCT
ejpam-3250	66	21	,	,	PUNCT
ejpam-3250	66	22	in	in	ADP
ejpam-3250	66	23	which	which	PRON
ejpam-3250	66	24	m	m	VERB
ejpam-3250	66	25	is	be	AUX
ejpam-3250	66	26	the	the	DET
ejpam-3250	66	27	number	number	NOUN
ejpam-3250	66	28	of	of	ADP
ejpam-3250	66	29	bits	bit	NOUN
ejpam-3250	66	30	of	of	ADP
ejpam-3250	66	31	the	the	DET
ejpam-3250	66	32	secret	secret	NOUN
ejpam-3250	66	33	.	.	PUNCT
ejpam-3250	67	1	shamir	shamir	PROPN
ejpam-3250	67	2	’s	’s	PART
ejpam-3250	67	3	secret	secret	ADJ
ejpam-3250	67	4	sharing	sharing	NOUN
ejpam-3250	67	5	scheme	scheme	NOUN
ejpam-3250	67	6	consists	consist	NOUN
ejpam-3250	67	7	of	of	ADP
ejpam-3250	67	8	two	two	NUM
ejpam-3250	67	9	algorithms	algorithm	NOUN
ejpam-3250	67	10	[	[	X
ejpam-3250	67	11	17	17	NUM
ejpam-3250	67	12	]	]	PUNCT
ejpam-3250	67	13	,	,	PUNCT
ejpam-3250	68	1	[	[	X
ejpam-3250	68	2	5	5	NUM
ejpam-3250	68	3	]	]	SYM
ejpam-3250	68	4	:	:	PUNCT
ejpam-3250	68	5	2.1.1	2.1.1	NUM
ejpam-3250	68	6	.	.	PUNCT
ejpam-3250	68	7	share	share	NOUN
ejpam-3250	68	8	generation	generation	NOUN
ejpam-3250	68	9	algorithm	algorithm	NOUN
ejpam-3250	68	10	construct	construct	VERB
ejpam-3250	68	11	a	a	DET
ejpam-3250	68	12	polynomial	polynomial	ADJ
ejpam-3250	68	13	α(z	α(z	NOUN
ejpam-3250	68	14	)	)	PUNCT
ejpam-3250	68	15	=	=	SYM
ejpam-3250	69	1	s0+s1z+s2z	s0+s1z+s2z	NUM
ejpam-3250	69	2	2	2	NUM
ejpam-3250	69	3	+	+	NOUN
ejpam-3250	69	4	.	.	PUNCT
ejpam-3250	69	5	.	.	PUNCT
ejpam-3250	69	6	.+sk−1z	.+sk−1z	PUNCT
ejpam-3250	70	1	k−1	k−1	PROPN
ejpam-3250	70	2	,	,	PUNCT
ejpam-3250	70	3	where	where	SCONJ
ejpam-3250	70	4	si(i	si(i	ADV
ejpam-3250	70	5	∈	∈	PROPN
ejpam-3250	70	6	{	{	PUNCT
ejpam-3250	70	7	0	0	NUM
ejpam-3250	70	8	,	,	PUNCT
ejpam-3250	70	9	1	1	NUM
ejpam-3250	70	10	,	,	PUNCT
ejpam-3250	70	11	.	.	PUNCT
ejpam-3250	70	12	.	.	PUNCT
ejpam-3250	70	13	.	.	PUNCT
ejpam-3250	71	1	,	,	PUNCT
ejpam-3250	71	2	k−1	k−1	PROPN
ejpam-3250	71	3	}	}	PUNCT
ejpam-3250	71	4	)	)	PUNCT
ejpam-3250	71	5	and	and	CCONJ
ejpam-3250	71	6	z	z	NOUN
ejpam-3250	71	7	belongs	belong	VERB
ejpam-3250	71	8	to	to	ADP
ejpam-3250	71	9	gf	gf	PROPN
ejpam-3250	71	10	(	(	PUNCT
ejpam-3250	71	11	pm	pm	NOUN
ejpam-3250	71	12	)	)	PUNCT
ejpam-3250	71	13	.	.	PUNCT
ejpam-3250	72	1	si(i	si(i	PUNCT
ejpam-3250	73	1	∈	∈	PROPN
ejpam-3250	73	2	{	{	PUNCT
ejpam-3250	73	3	0	0	NUM
ejpam-3250	73	4	,	,	PUNCT
ejpam-3250	73	5	1	1	NUM
ejpam-3250	73	6	,	,	PUNCT
ejpam-3250	73	7	.	.	PUNCT
ejpam-3250	73	8	.	.	PUNCT
ejpam-3250	73	9	.	.	PUNCT
ejpam-3250	74	1	,	,	PUNCT
ejpam-3250	75	1	k	k	PROPN
ejpam-3250	75	2	−	−	NOUN
ejpam-3250	75	3	1	1	NUM
ejpam-3250	75	4	}	}	PUNCT
ejpam-3250	75	5	)	)	PUNCT
ejpam-3250	75	6	is	be	AUX
ejpam-3250	75	7	randomly	randomly	ADV
ejpam-3250	75	8	generated	generate	VERB
ejpam-3250	75	9	in	in	ADP
ejpam-3250	75	10	gf	gf	PROPN
ejpam-3250	75	11	(	(	PUNCT
ejpam-3250	75	12	pm	pm	NOUN
ejpam-3250	75	13	)	)	PUNCT
ejpam-3250	75	14	and	and	CCONJ
ejpam-3250	75	15	sk−1	sk−1	PROPN
ejpam-3250	75	16	is	be	AUX
ejpam-3250	75	17	the	the	DET
ejpam-3250	75	18	secret	secret	NOUN
ejpam-3250	75	19	.	.	PUNCT
ejpam-3250	76	1	each	each	DET
ejpam-3250	76	2	shareholder	shareholder	NOUN
ejpam-3250	76	3	with	with	ADP
ejpam-3250	76	4	i	i	PROPN
ejpam-3250	76	5	d	d	PROPN
ejpam-3250	76	6	zi	zi	PROPN
ejpam-3250	76	7	receives	receive	VERB
ejpam-3250	76	8	a	a	DET
ejpam-3250	76	9	share	share	NOUN
ejpam-3250	76	10	a(zi	a(zi	VERB
ejpam-3250	76	11	)	)	PUNCT
ejpam-3250	76	12	and	and	CCONJ
ejpam-3250	76	13	we	we	PRON
ejpam-3250	76	14	assume	assume	VERB
ejpam-3250	76	15	the	the	DET
ejpam-3250	76	16	ids	id	NOUN
ejpam-3250	76	17	zi	zi	PROPN
ejpam-3250	76	18	are	be	AUX
ejpam-3250	76	19	publicly	publicly	ADV
ejpam-3250	76	20	known	know	VERB
ejpam-3250	76	21	and	and	CCONJ
ejpam-3250	76	22	unique	unique	ADJ
ejpam-3250	76	23	for	for	ADP
ejpam-3250	76	24	each	each	DET
ejpam-3250	76	25	different	different	ADJ
ejpam-3250	76	26	shareholder	shareholder	NOUN
ejpam-3250	76	27	.	.	PUNCT
ejpam-3250	77	1	we	we	PRON
ejpam-3250	77	2	denote	denote	VERB
ejpam-3250	77	3	α(zi	α(zi	NOUN
ejpam-3250	77	4	)	)	PUNCT
ejpam-3250	77	5	as	as	ADP
ejpam-3250	77	6	αi	αi	ADV
ejpam-3250	77	7	and	and	CCONJ
ejpam-3250	77	8	zij	zij	PROPN
ejpam-3250	77	9	for	for	ADP
ejpam-3250	77	10	simplicity	simplicity	NOUN
ejpam-3250	77	11	in	in	ADP
ejpam-3250	77	12	this	this	DET
ejpam-3250	77	13	part	part	NOUN
ejpam-3250	77	14	.	.	PUNCT
ejpam-3250	78	1	f.	f.	PROPN
ejpam-3250	78	2	molla	molla	PROPN
ejpam-3250	78	3	,	,	PUNCT
ejpam-3250	78	4	s.	s.	PROPN
ejpam-3250	78	5	çalkavur	çalkavur	PROPN
ejpam-3250	78	6	/	/	SYM
ejpam-3250	78	7	eur	eur	PROPN
ejpam-3250	78	8	.	.	PUNCT
ejpam-3250	79	1	j.	j.	PROPN
ejpam-3250	79	2	pure	pure	PROPN
ejpam-3250	79	3	appl	appl	PROPN
ejpam-3250	79	4	.	.	PROPN
ejpam-3250	79	5	math	math	PROPN
ejpam-3250	79	6	,	,	PUNCT
ejpam-3250	79	7	11	11	NUM
ejpam-3250	79	8	(	(	PUNCT
ejpam-3250	79	9	2	2	NUM
ejpam-3250	79	10	)	)	PUNCT
ejpam-3250	79	11	(	(	PUNCT
ejpam-3250	79	12	2018	2018	NUM
ejpam-3250	79	13	)	)	PUNCT
ejpam-3250	79	14	,	,	PUNCT
ejpam-3250	79	15	468	468	NUM
ejpam-3250	79	16	-	-	SYM
ejpam-3250	79	17	475	475	NUM
ejpam-3250	79	18	470	470	NUM
ejpam-3250	79	19	2.1.2	2.1.2	NUM
ejpam-3250	79	20	.	.	PUNCT
ejpam-3250	79	21	secret	secret	ADJ
ejpam-3250	79	22	reconstruction	reconstruction	NOUN
ejpam-3250	79	23	algorithm	algorithm	NOUN
ejpam-3250	79	24	for	for	ADP
ejpam-3250	79	25	a	a	DET
ejpam-3250	79	26	polynomial	polynomial	NOUN
ejpam-3250	79	27	of	of	ADP
ejpam-3250	79	28	degree	degree	NOUN
ejpam-3250	80	1	k	k	PROPN
ejpam-3250	80	2	−	−	PROPN
ejpam-3250	80	3	1	1	NUM
ejpam-3250	80	4	,	,	PUNCT
ejpam-3250	80	5	with	with	ADP
ejpam-3250	80	6	knowledge	knowledge	NOUN
ejpam-3250	80	7	of	of	ADP
ejpam-3250	80	8	at	at	ADP
ejpam-3250	80	9	least	least	ADJ
ejpam-3250	80	10	k	k	NOUN
ejpam-3250	80	11	data	datum	NOUN
ejpam-3250	80	12	points	point	NOUN
ejpam-3250	80	13	,	,	PUNCT
ejpam-3250	80	14	we	we	PRON
ejpam-3250	80	15	can	can	AUX
ejpam-3250	80	16	reconstruct	reconstruct	VERB
ejpam-3250	80	17	the	the	DET
ejpam-3250	80	18	exact	exact	ADJ
ejpam-3250	80	19	polynomial	polynomial	ADJ
ejpam-3250	80	20	using	use	VERB
ejpam-3250	80	21	lagrange	lagrange	NOUN
ejpam-3250	80	22	interpolation	interpolation	NOUN
ejpam-3250	80	23	in	in	ADP
ejpam-3250	80	24	gf	gf	PROPN
ejpam-3250	80	25	(	(	PUNCT
ejpam-3250	80	26	pm	pm	NOUN
ejpam-3250	80	27	)	)	PUNCT
ejpam-3250	80	28	and	and	CCONJ
ejpam-3250	80	29	thus	thus	ADV
ejpam-3250	80	30	reconstruct	reconstruct	VERB
ejpam-3250	80	31	the	the	DET
ejpam-3250	80	32	secret	secret	ADJ
ejpam-3250	80	33	sk−1	sk−1	PROPN
ejpam-3250	80	34	.	.	PUNCT
ejpam-3250	81	1	now	now	ADV
ejpam-3250	81	2	we	we	PRON
ejpam-3250	81	3	remind	remind	VERB
ejpam-3250	81	4	some	some	DET
ejpam-3250	81	5	definitions	definition	NOUN
ejpam-3250	81	6	and	and	CCONJ
ejpam-3250	81	7	a	a	DET
ejpam-3250	81	8	proposition	proposition	NOUN
ejpam-3250	81	9	associated	associate	VERB
ejpam-3250	81	10	with	with	ADP
ejpam-3250	81	11	subject	subject	NOUN
ejpam-3250	81	12	.	.	PUNCT
ejpam-3250	82	1	definition	definition	NOUN
ejpam-3250	82	2	1	1	NUM
ejpam-3250	82	3	.	.	PUNCT
ejpam-3250	83	1	(	(	PUNCT
ejpam-3250	83	2	minimal	minimal	ADJ
ejpam-3250	83	3	access	access	NOUN
ejpam-3250	83	4	set	set	NOUN
ejpam-3250	83	5	)	)	PUNCT
ejpam-3250	83	6	a	a	DET
ejpam-3250	83	7	subset	subset	NOUN
ejpam-3250	83	8	of	of	ADP
ejpam-3250	83	9	participants	participant	NOUN
ejpam-3250	83	10	is	be	AUX
ejpam-3250	83	11	called	call	VERB
ejpam-3250	83	12	a	a	DET
ejpam-3250	83	13	minimal	minimal	ADJ
ejpam-3250	83	14	access	access	NOUN
ejpam-3250	83	15	set	set	NOUN
ejpam-3250	83	16	,	,	PUNCT
ejpam-3250	83	17	if	if	SCONJ
ejpam-3250	83	18	the	the	DET
ejpam-3250	83	19	participants	participant	NOUN
ejpam-3250	83	20	in	in	ADP
ejpam-3250	83	21	the	the	DET
ejpam-3250	83	22	subsets	subset	NOUN
ejpam-3250	83	23	can	can	AUX
ejpam-3250	83	24	recover	recover	VERB
ejpam-3250	83	25	the	the	DET
ejpam-3250	83	26	secret	secret	NOUN
ejpam-3250	83	27	by	by	ADP
ejpam-3250	83	28	combining	combine	VERB
ejpam-3250	83	29	their	their	PRON
ejpam-3250	83	30	shares	share	NOUN
ejpam-3250	83	31	but	but	CCONJ
ejpam-3250	83	32	any	any	DET
ejpam-3250	83	33	subset	subset	NOUN
ejpam-3250	83	34	at	at	ADP
ejpam-3250	83	35	the	the	DET
ejpam-3250	83	36	participants	participant	NOUN
ejpam-3250	83	37	can	can	AUX
ejpam-3250	83	38	not	not	PART
ejpam-3250	83	39	do	do	VERB
ejpam-3250	83	40	so	so	ADV
ejpam-3250	83	41	[	[	X
ejpam-3250	83	42	14	14	NUM
ejpam-3250	83	43	]	]	PUNCT
ejpam-3250	83	44	.	.	PUNCT
ejpam-3250	84	1	definition	definition	NOUN
ejpam-3250	84	2	2	2	NUM
ejpam-3250	84	3	.	.	PUNCT
ejpam-3250	85	1	(	(	PUNCT
ejpam-3250	85	2	access	access	NOUN
ejpam-3250	85	3	structure	structure	NOUN
ejpam-3250	85	4	)	)	PUNCT
ejpam-3250	85	5	the	the	DET
ejpam-3250	85	6	access	access	NOUN
ejpam-3250	85	7	structure	structure	NOUN
ejpam-3250	85	8	of	of	ADP
ejpam-3250	85	9	a	a	DET
ejpam-3250	85	10	secret	secret	ADJ
ejpam-3250	85	11	sharing	sharing	NOUN
ejpam-3250	85	12	scheme	scheme	NOUN
ejpam-3250	85	13	is	be	AUX
ejpam-3250	85	14	the	the	DET
ejpam-3250	85	15	set	set	NOUN
ejpam-3250	85	16	of	of	ADP
ejpam-3250	85	17	all	all	DET
ejpam-3250	85	18	minimal	minimal	ADJ
ejpam-3250	85	19	access	access	NOUN
ejpam-3250	85	20	sets	set	NOUN
ejpam-3250	85	21	[	[	X
ejpam-3250	85	22	14	14	NUM
ejpam-3250	85	23	]	]	PUNCT
ejpam-3250	85	24	.	.	PUNCT
ejpam-3250	86	1	3	3	X
ejpam-3250	86	2	.	.	X
ejpam-3250	86	3	a	a	DET
ejpam-3250	86	4	secret	secret	ADJ
ejpam-3250	86	5	sharing	sharing	NOUN
ejpam-3250	86	6	scheme	scheme	NOUN
ejpam-3250	86	7	based	base	VERB
ejpam-3250	86	8	on	on	ADP
ejpam-3250	86	9	field	field	NOUN
ejpam-3250	86	10	extensions	extension	NOUN
ejpam-3250	86	11	in	in	ADP
ejpam-3250	86	12	this	this	DET
ejpam-3250	86	13	part	part	NOUN
ejpam-3250	86	14	we	we	PRON
ejpam-3250	86	15	obtain	obtain	VERB
ejpam-3250	86	16	a	a	DET
ejpam-3250	86	17	secret	secret	ADJ
ejpam-3250	86	18	sharing	sharing	NOUN
ejpam-3250	86	19	scheme	scheme	NOUN
ejpam-3250	86	20	using	use	VERB
ejpam-3250	86	21	the	the	DET
ejpam-3250	86	22	some	some	DET
ejpam-3250	86	23	results	result	NOUN
ejpam-3250	86	24	of	of	ADP
ejpam-3250	86	25	[	[	X
ejpam-3250	86	26	12	12	NUM
ejpam-3250	86	27	]	]	PUNCT
ejpam-3250	86	28	.	.	PUNCT
ejpam-3250	87	1	now	now	ADV
ejpam-3250	87	2	we	we	PRON
ejpam-3250	87	3	construct	construct	VERB
ejpam-3250	87	4	the	the	DET
ejpam-3250	87	5	shamir	shamir	PROPN
ejpam-3250	87	6	’s	’s	PART
ejpam-3250	87	7	secret	secret	ADJ
ejpam-3250	87	8	sharing	sharing	NOUN
ejpam-3250	87	9	scheme	scheme	NOUN
ejpam-3250	87	10	by	by	ADP
ejpam-3250	87	11	using	use	VERB
ejpam-3250	87	12	a	a	DET
ejpam-3250	87	13	field	field	NOUN
ejpam-3250	87	14	extension	extension	NOUN
ejpam-3250	87	15	.	.	PUNCT
ejpam-3250	88	1	consider	consider	VERB
ejpam-3250	88	2	the	the	DET
ejpam-3250	88	3	input	input	NOUN
ejpam-3250	88	4	and	and	CCONJ
ejpam-3250	88	5	output	output	NOUN
ejpam-3250	88	6	values	value	NOUN
ejpam-3250	88	7	of	of	ADP
ejpam-3250	88	8	secret	secret	ADJ
ejpam-3250	88	9	sharing	sharing	NOUN
ejpam-3250	88	10	scheme	scheme	NOUN
ejpam-3250	88	11	as	as	ADP
ejpam-3250	88	12	the	the	DET
ejpam-3250	88	13	integers	integer	NOUN
ejpam-3250	88	14	.	.	PUNCT
ejpam-3250	89	1	however	however	ADV
ejpam-3250	89	2	,	,	PUNCT
ejpam-3250	89	3	we	we	PRON
ejpam-3250	89	4	work	work	VERB
ejpam-3250	89	5	on	on	ADP
ejpam-3250	89	6	polynomials	polynomial	NOUN
ejpam-3250	89	7	to	to	PART
ejpam-3250	89	8	do	do	AUX
ejpam-3250	89	9	algebraic	algebraic	ADJ
ejpam-3250	89	10	operations	operation	NOUN
ejpam-3250	89	11	.	.	PUNCT
ejpam-3250	90	1	let	let	VERB
ejpam-3250	90	2	the	the	DET
ejpam-3250	90	3	number	number	NOUN
ejpam-3250	90	4	of	of	ADP
ejpam-3250	90	5	elements	element	NOUN
ejpam-3250	90	6	of	of	ADP
ejpam-3250	90	7	field	field	NOUN
ejpam-3250	90	8	extension	extension	NOUN
ejpam-3250	90	9	be	be	AUX
ejpam-3250	90	10	q	q	NOUN
ejpam-3250	90	11	=	=	PRON
ejpam-3250	90	12	pm	pm	NOUN
ejpam-3250	90	13	(	(	PUNCT
ejpam-3250	90	14	p	p	NOUN
ejpam-3250	90	15	is	be	AUX
ejpam-3250	90	16	prime	prime	ADJ
ejpam-3250	90	17	and	and	CCONJ
ejpam-3250	90	18	m	m	NOUN
ejpam-3250	90	19	∈	∈	NOUN
ejpam-3250	90	20	z+	z+	NUM
ejpam-3250	90	21	)	)	PUNCT
ejpam-3250	90	22	.	.	PUNCT
ejpam-3250	91	1	we	we	PRON
ejpam-3250	91	2	choose	choose	VERB
ejpam-3250	91	3	the	the	DET
ejpam-3250	91	4	secret	secret	NOUN
ejpam-3250	91	5	and	and	CCONJ
ejpam-3250	91	6	ids	id	NOUN
ejpam-3250	91	7	of	of	ADP
ejpam-3250	91	8	participants	participant	NOUN
ejpam-3250	91	9	from	from	ADP
ejpam-3250	91	10	the	the	DET
ejpam-3250	91	11	following	follow	VERB
ejpam-3250	91	12	set	set	NOUN
ejpam-3250	91	13	.	.	PUNCT
ejpam-3250	92	1	mq	mq	PROPN
ejpam-3250	92	2	=	=	SYM
ejpam-3250	92	3	{	{	PUNCT
ejpam-3250	92	4	a	a	DET
ejpam-3250	92	5	|	|	NOUN
ejpam-3250	92	6	0	0	NUM
ejpam-3250	92	7	≤	≤	NOUN
ejpam-3250	92	8	a	a	DET
ejpam-3250	92	9	≤	≤	ADJ
ejpam-3250	92	10	q	q	NOUN
ejpam-3250	92	11	−	−	PROPN
ejpam-3250	92	12	1	1	NUM
ejpam-3250	92	13	,	,	PUNCT
ejpam-3250	92	14	a	a	DET
ejpam-3250	92	15	∈	∈	NOUN
ejpam-3250	92	16	z	z	NOUN
ejpam-3250	92	17	}	}	PUNCT
ejpam-3250	92	18	.	.	PUNCT
ejpam-3250	93	1	(	(	PUNCT
ejpam-3250	93	2	1	1	X
ejpam-3250	93	3	)	)	PUNCT
ejpam-3250	93	4	we	we	PRON
ejpam-3250	93	5	transform	transform	VERB
ejpam-3250	93	6	the	the	DET
ejpam-3250	93	7	selected	select	VERB
ejpam-3250	93	8	integers	integer	NOUN
ejpam-3250	93	9	to	to	ADP
ejpam-3250	93	10	the	the	DET
ejpam-3250	93	11	polynomials	polynomial	NOUN
ejpam-3250	93	12	of	of	ADP
ejpam-3250	93	13	(	(	PUNCT
ejpam-3250	93	14	gf	gf	X
ejpam-3250	93	15	(	(	PUNCT
ejpam-3250	93	16	q))[x	q))[x	X
ejpam-3250	93	17	]	]	PUNCT
ejpam-3250	93	18	by	by	ADP
ejpam-3250	93	19	algorithm	algorithm	NOUN
ejpam-3250	93	20	1	1	NUM
ejpam-3250	93	21	.	.	PUNCT
ejpam-3250	93	22	algorithm	algorithm	PROPN
ejpam-3250	93	23	1	1	NUM
ejpam-3250	93	24	.	.	PUNCT
ejpam-3250	94	1	input	input	NOUN
ejpam-3250	94	2	:	:	PUNCT
ejpam-3250	94	3	a	a	DET
ejpam-3250	94	4	∈mq	∈mq	NOUN
ejpam-3250	94	5	output	output	NOUN
ejpam-3250	94	6	:	:	PUNCT
ejpam-3250	94	7	b	b	X
ejpam-3250	94	8	∈	∈	ADJ
ejpam-3250	94	9	gf	gf	X
ejpam-3250	94	10	(	(	PUNCT
ejpam-3250	94	11	q	q	NOUN
ejpam-3250	94	12	)	)	PUNCT
ejpam-3250	94	13	step	step	NOUN
ejpam-3250	94	14	1	1	NUM
ejpam-3250	94	15	.	.	PUNCT
ejpam-3250	95	1	a	a	PRON
ejpam-3250	95	2	is	be	AUX
ejpam-3250	95	3	transformed	transform	VERB
ejpam-3250	95	4	into	into	ADP
ejpam-3250	95	5	vectors	vector	NOUN
ejpam-3250	95	6	of	of	ADP
ejpam-3250	95	7	length	length	NOUN
ejpam-3250	95	8	m	m	VERB
ejpam-3250	95	9	with	with	ADP
ejpam-3250	95	10	respect	respect	NOUN
ejpam-3250	95	11	to	to	ADP
ejpam-3250	95	12	base	base	NOUN
ejpam-3250	95	13	p.	p.	NOUN
ejpam-3250	95	14	step	step	NOUN
ejpam-3250	95	15	2	2	NUM
ejpam-3250	95	16	.	.	PUNCT
ejpam-3250	96	1	these	these	DET
ejpam-3250	96	2	vectors	vector	NOUN
ejpam-3250	96	3	are	be	AUX
ejpam-3250	96	4	written	write	VERB
ejpam-3250	96	5	as	as	ADP
ejpam-3250	96	6	a	a	DET
ejpam-3250	96	7	polynomial	polynomial	NOUN
ejpam-3250	96	8	.	.	PUNCT
ejpam-3250	97	1	example	example	NOUN
ejpam-3250	98	1	1	1	NUM
ejpam-3250	98	2	.	.	X
ejpam-3250	98	3	consider	consider	VERB
ejpam-3250	98	4	5	5	NUM
ejpam-3250	98	5	∈	∈	NOUN
ejpam-3250	98	6	m8	m8	NOUN
ejpam-3250	98	7	⇒	⇒	NOUN
ejpam-3250	98	8	5	5	NUM
ejpam-3250	98	9	=	=	SYM
ejpam-3250	98	10	(	(	PUNCT
ejpam-3250	99	1	101)2	101)2	NUM
ejpam-3250	99	2	=	=	SYM
ejpam-3250	99	3	θ2	θ2	PROPN
ejpam-3250	99	4	+	+	CCONJ
ejpam-3250	99	5	1	1	NUM
ejpam-3250	99	6	∈	∈	NOUN
ejpam-3250	99	7	gf	gf	X
ejpam-3250	99	8	(	(	PUNCT
ejpam-3250	99	9	8)	8)	NUM
ejpam-3250	99	10	,	,	PUNCT
ejpam-3250	99	11	where	where	SCONJ
ejpam-3250	99	12	θ	θ	PROPN
ejpam-3250	99	13	is	be	AUX
ejpam-3250	99	14	a	a	DET
ejpam-3250	99	15	primitive	primitive	ADJ
ejpam-3250	99	16	element	element	NOUN
ejpam-3250	99	17	of	of	ADP
ejpam-3250	99	18	gf	gf	PROPN
ejpam-3250	99	19	(	(	PUNCT
ejpam-3250	99	20	8)	8)	NUM
ejpam-3250	99	21	.	.	PUNCT
ejpam-3250	99	22	example	example	NOUN
ejpam-3250	99	23	2	2	NUM
ejpam-3250	99	24	.	.	X
ejpam-3250	100	1	consider	consider	VERB
ejpam-3250	100	2	5	5	NUM
ejpam-3250	100	3	∈	∈	PROPN
ejpam-3250	100	4	m9	m9	NOUN
ejpam-3250	100	5	⇒	⇒	NOUN
ejpam-3250	100	6	5	5	NUM
ejpam-3250	100	7	=	=	SYM
ejpam-3250	100	8	(	(	PUNCT
ejpam-3250	100	9	12)3	12)3	NUM
ejpam-3250	100	10	=	=	SYM
ejpam-3250	100	11	θ	θ	NOUN
ejpam-3250	100	12	+	+	CCONJ
ejpam-3250	100	13	2	2	NUM
ejpam-3250	100	14	∈	∈	NOUN
ejpam-3250	100	15	gf	gf	X
ejpam-3250	100	16	(	(	PUNCT
ejpam-3250	100	17	9	9	NUM
ejpam-3250	100	18	)	)	PUNCT
ejpam-3250	100	19	,	,	PUNCT
ejpam-3250	100	20	where	where	SCONJ
ejpam-3250	100	21	θ	θ	PROPN
ejpam-3250	100	22	is	be	AUX
ejpam-3250	100	23	a	a	DET
ejpam-3250	100	24	primitive	primitive	ADJ
ejpam-3250	100	25	element	element	NOUN
ejpam-3250	100	26	of	of	ADP
ejpam-3250	100	27	gf	gf	PROPN
ejpam-3250	100	28	(	(	PUNCT
ejpam-3250	100	29	9	9	NUM
ejpam-3250	100	30	)	)	PUNCT
ejpam-3250	100	31	.	.	PUNCT
ejpam-3250	101	1	we	we	PRON
ejpam-3250	101	2	transform	transform	VERB
ejpam-3250	101	3	the	the	DET
ejpam-3250	101	4	obtained	obtain	VERB
ejpam-3250	101	5	polynomials	polynomial	NOUN
ejpam-3250	101	6	to	to	ADP
ejpam-3250	101	7	the	the	DET
ejpam-3250	101	8	integers	integer	NOUN
ejpam-3250	101	9	by	by	ADP
ejpam-3250	101	10	algorithm	algorithm	NOUN
ejpam-3250	101	11	2	2	NUM
ejpam-3250	101	12	.	.	PUNCT
ejpam-3250	101	13	algorithm	algorithm	NOUN
ejpam-3250	101	14	2	2	NUM
ejpam-3250	102	1	.	.	PUNCT
ejpam-3250	102	2	input	input	NOUN
ejpam-3250	102	3	:	:	PUNCT
ejpam-3250	103	1	b	b	X
ejpam-3250	103	2	∈	∈	ADJ
ejpam-3250	103	3	gf	gf	X
ejpam-3250	103	4	(	(	PUNCT
ejpam-3250	103	5	q	q	NOUN
ejpam-3250	103	6	)	)	PUNCT
ejpam-3250	103	7	output	output	NOUN
ejpam-3250	103	8	:	:	PUNCT
ejpam-3250	103	9	a	a	DET
ejpam-3250	103	10	∈mq	∈mq	NOUN
ejpam-3250	103	11	step	step	NOUN
ejpam-3250	103	12	1	1	NUM
ejpam-3250	103	13	.	.	X
ejpam-3250	104	1	b	b	NOUN
ejpam-3250	104	2	is	be	AUX
ejpam-3250	104	3	transformed	transform	VERB
ejpam-3250	104	4	into	into	ADP
ejpam-3250	104	5	vectors	vector	NOUN
ejpam-3250	104	6	of	of	ADP
ejpam-3250	104	7	length	length	NOUN
ejpam-3250	104	8	m	m	VERB
ejpam-3250	104	9	with	with	ADP
ejpam-3250	104	10	respect	respect	NOUN
ejpam-3250	104	11	to	to	ADP
ejpam-3250	104	12	base	base	NOUN
ejpam-3250	104	13	p.	p.	NOUN
ejpam-3250	104	14	step	step	NOUN
ejpam-3250	104	15	2	2	NUM
ejpam-3250	104	16	.	.	PUNCT
ejpam-3250	105	1	these	these	DET
ejpam-3250	105	2	vectors	vector	NOUN
ejpam-3250	105	3	are	be	AUX
ejpam-3250	105	4	written	write	VERB
ejpam-3250	105	5	with	with	ADP
ejpam-3250	105	6	respect	respect	NOUN
ejpam-3250	105	7	to	to	ADP
ejpam-3250	105	8	base	base	NOUN
ejpam-3250	105	9	10	10	NUM
ejpam-3250	105	10	.	.	PUNCT
ejpam-3250	106	1	f.	f.	PROPN
ejpam-3250	106	2	molla	molla	PROPN
ejpam-3250	106	3	,	,	PUNCT
ejpam-3250	106	4	s.	s.	PROPN
ejpam-3250	106	5	çalkavur	çalkavur	PROPN
ejpam-3250	106	6	/	/	SYM
ejpam-3250	106	7	eur	eur	PROPN
ejpam-3250	106	8	.	.	PUNCT
ejpam-3250	107	1	j.	j.	PROPN
ejpam-3250	107	2	pure	pure	PROPN
ejpam-3250	107	3	appl	appl	PROPN
ejpam-3250	107	4	.	.	PROPN
ejpam-3250	107	5	math	math	PROPN
ejpam-3250	107	6	,	,	PUNCT
ejpam-3250	107	7	11	11	NUM
ejpam-3250	107	8	(	(	PUNCT
ejpam-3250	107	9	2	2	NUM
ejpam-3250	107	10	)	)	PUNCT
ejpam-3250	107	11	(	(	PUNCT
ejpam-3250	107	12	2018	2018	NUM
ejpam-3250	107	13	)	)	PUNCT
ejpam-3250	107	14	,	,	PUNCT
ejpam-3250	107	15	468	468	NUM
ejpam-3250	107	16	-	-	SYM
ejpam-3250	107	17	475	475	NUM
ejpam-3250	107	18	471	471	NUM
ejpam-3250	107	19	example	example	NOUN
ejpam-3250	107	20	3	3	NUM
ejpam-3250	107	21	.	.	X
ejpam-3250	107	22	consider	consider	VERB
ejpam-3250	107	23	θ2	θ2	PROPN
ejpam-3250	107	24	+	+	ADJ
ejpam-3250	107	25	1	1	NUM
ejpam-3250	107	26	∈	∈	ADJ
ejpam-3250	107	27	gf	gf	X
ejpam-3250	107	28	(	(	PUNCT
ejpam-3250	107	29	8)⇒	8)⇒	NUM
ejpam-3250	107	30	θ2	θ2	PROPN
ejpam-3250	107	31	+	+	PROPN
ejpam-3250	107	32	1	1	NUM
ejpam-3250	107	33	=	=	SYM
ejpam-3250	107	34	(	(	PUNCT
ejpam-3250	107	35	101)2	101)2	NUM
ejpam-3250	107	36	=	=	SYM
ejpam-3250	107	37	5	5	NUM
ejpam-3250	107	38	∈m8	∈m8	NOUN
ejpam-3250	107	39	,	,	PUNCT
ejpam-3250	107	40	where	where	SCONJ
ejpam-3250	107	41	θ	θ	PROPN
ejpam-3250	107	42	is	be	AUX
ejpam-3250	107	43	a	a	DET
ejpam-3250	107	44	primitive	primitive	ADJ
ejpam-3250	107	45	element	element	NOUN
ejpam-3250	107	46	of	of	ADP
ejpam-3250	107	47	gf	gf	PROPN
ejpam-3250	107	48	(	(	PUNCT
ejpam-3250	107	49	8)	8)	NUM
ejpam-3250	107	50	.	.	NOUN
ejpam-3250	107	51	example	example	NOUN
ejpam-3250	108	1	4	4	NUM
ejpam-3250	108	2	.	.	X
ejpam-3250	108	3	consider	consider	VERB
ejpam-3250	108	4	2θ	2θ	NUM
ejpam-3250	108	5	+	+	CCONJ
ejpam-3250	108	6	1	1	NUM
ejpam-3250	108	7	∈	∈	NOUN
ejpam-3250	108	8	gf	gf	X
ejpam-3250	108	9	(	(	PUNCT
ejpam-3250	108	10	9	9	X
ejpam-3250	108	11	)	)	PUNCT
ejpam-3250	108	12	⇒	⇒	NOUN
ejpam-3250	108	13	5	5	NUM
ejpam-3250	108	14	=	=	SYM
ejpam-3250	108	15	(	(	PUNCT
ejpam-3250	108	16	21)3	21)3	NUM
ejpam-3250	108	17	=	=	SYM
ejpam-3250	108	18	7	7	NUM
ejpam-3250	108	19	∈	∈	PROPN
ejpam-3250	108	20	m9	m9	PROPN
ejpam-3250	108	21	,	,	PUNCT
ejpam-3250	108	22	where	where	SCONJ
ejpam-3250	108	23	θ	θ	PROPN
ejpam-3250	108	24	is	be	AUX
ejpam-3250	108	25	a	a	DET
ejpam-3250	108	26	primitive	primitive	ADJ
ejpam-3250	108	27	element	element	NOUN
ejpam-3250	108	28	of	of	ADP
ejpam-3250	108	29	gf	gf	PROPN
ejpam-3250	108	30	(	(	PUNCT
ejpam-3250	108	31	9	9	NUM
ejpam-3250	108	32	)	)	PUNCT
ejpam-3250	108	33	.	.	PUNCT
ejpam-3250	109	1	3.1	3.1	NUM
ejpam-3250	109	2	.	.	PUNCT
ejpam-3250	109	3	proposed	propose	VERB
ejpam-3250	109	4	scheme	scheme	NOUN
ejpam-3250	109	5	we	we	PRON
ejpam-3250	109	6	consider	consider	VERB
ejpam-3250	109	7	a	a	DET
ejpam-3250	109	8	polynomial	polynomial	NOUN
ejpam-3250	109	9	of	of	ADP
ejpam-3250	109	10	degree	degree	NOUN
ejpam-3250	110	1	k	k	PROPN
ejpam-3250	110	2	−	−	PROPN
ejpam-3250	110	3	1	1	NUM
ejpam-3250	110	4	as	as	SCONJ
ejpam-3250	110	5	follows	follow	VERB
ejpam-3250	110	6	.	.	PUNCT
ejpam-3250	111	1	p(x	p(x	NOUN
ejpam-3250	111	2	)	)	PUNCT
ejpam-3250	111	3	=	=	PUNCT
ejpam-3250	112	1	k−1∑	k−1∑	PROPN
ejpam-3250	112	2	i=0	i=0	PROPN
ejpam-3250	112	3	aix	aix	NOUN
ejpam-3250	112	4	i	i	PRON
ejpam-3250	112	5	∈mq[x	∈mq[x	PROPN
ejpam-3250	112	6	]	]	PUNCT
ejpam-3250	112	7	,	,	PUNCT
ejpam-3250	112	8	(	(	PUNCT
ejpam-3250	112	9	2	2	X
ejpam-3250	112	10	)	)	PUNCT
ejpam-3250	112	11	where	where	SCONJ
ejpam-3250	112	12	the	the	DET
ejpam-3250	112	13	coefficients	coefficient	NOUN
ejpam-3250	112	14	ai	ai	VERB
ejpam-3250	112	15	(	(	PUNCT
ejpam-3250	112	16	1	1	NUM
ejpam-3250	112	17	≤	≤	NUM
ejpam-3250	112	18	i	i	NOUN
ejpam-3250	112	19	≤	≤	NOUN
ejpam-3250	113	1	k	k	PRON
ejpam-3250	114	1	−	−	NOUN
ejpam-3250	114	2	1	1	NUM
ejpam-3250	114	3	)	)	PUNCT
ejpam-3250	114	4	are	be	AUX
ejpam-3250	114	5	randomly	randomly	ADV
ejpam-3250	114	6	selected	select	VERB
ejpam-3250	114	7	.	.	PUNCT
ejpam-3250	115	1	let	let	VERB
ejpam-3250	115	2	the	the	DET
ejpam-3250	115	3	secret	secret	ADJ
ejpam-3250	115	4	be	be	AUX
ejpam-3250	115	5	a0	a0	NOUN
ejpam-3250	115	6	which	which	PRON
ejpam-3250	115	7	is	be	AUX
ejpam-3250	115	8	a	a	DET
ejpam-3250	115	9	constant	constant	ADJ
ejpam-3250	115	10	term	term	NOUN
ejpam-3250	115	11	of	of	ADP
ejpam-3250	115	12	a	a	DET
ejpam-3250	115	13	polynomial	polynomial	NOUN
ejpam-3250	115	14	.	.	PUNCT
ejpam-3250	116	1	this	this	DET
ejpam-3250	116	2	polynomial	polynomial	NOUN
ejpam-3250	116	3	is	be	AUX
ejpam-3250	116	4	written	write	VERB
ejpam-3250	116	5	as	as	ADP
ejpam-3250	116	6	a	a	DET
ejpam-3250	116	7	polynomial	polynomial	NOUN
ejpam-3250	116	8	of	of	ADP
ejpam-3250	116	9	(	(	PUNCT
ejpam-3250	116	10	gf	gf	X
ejpam-3250	116	11	(	(	PUNCT
ejpam-3250	116	12	q))[x	q))[x	X
ejpam-3250	116	13	]	]	PUNCT
ejpam-3250	116	14	.	.	PUNCT
ejpam-3250	117	1	t(x	t(x	PROPN
ejpam-3250	117	2	)	)	PUNCT
ejpam-3250	118	1	=	=	PRON
ejpam-3250	118	2	k−1∑	k−1∑	PROPN
ejpam-3250	118	3	i=0	i=0	PROPN
ejpam-3250	118	4	bix	bix	PROPN
ejpam-3250	118	5	i	i	PRON
ejpam-3250	118	6	∈	∈	PROPN
ejpam-3250	118	7	(	(	PUNCT
ejpam-3250	118	8	gf	gf	X
ejpam-3250	118	9	(	(	PUNCT
ejpam-3250	118	10	q))[x	q))[x	X
ejpam-3250	118	11	]	]	PUNCT
ejpam-3250	118	12	.	.	PUNCT
ejpam-3250	119	1	(	(	PUNCT
ejpam-3250	119	2	3	3	NUM
ejpam-3250	119	3	)	)	PUNCT
ejpam-3250	119	4	3.2	3.2	NUM
ejpam-3250	119	5	.	.	PUNCT
ejpam-3250	120	1	secret	secret	ADJ
ejpam-3250	120	2	distribution	distribution	NOUN
ejpam-3250	120	3	let	let	VERB
ejpam-3250	120	4	the	the	DET
ejpam-3250	120	5	ids	id	NOUN
ejpam-3250	120	6	of	of	ADP
ejpam-3250	120	7	participants	participant	NOUN
ejpam-3250	120	8	be	be	VERB
ejpam-3250	120	9	u1	u1	NOUN
ejpam-3250	120	10	,	,	PUNCT
ejpam-3250	120	11	u2	u2	NOUN
ejpam-3250	120	12	,	,	PUNCT
ejpam-3250	120	13	·	·	PUNCT
ejpam-3250	120	14	·	·	PUNCT
ejpam-3250	120	15	·	·	PUNCT
ejpam-3250	120	16	,	,	PUNCT
ejpam-3250	120	17	un	un	PROPN
ejpam-3250	120	18	∈mq−{0	∈mq−{0	NOUN
ejpam-3250	120	19	}	}	PUNCT
ejpam-3250	120	20	.	.	PUNCT
ejpam-3250	121	1	it	it	PRON
ejpam-3250	121	2	is	be	AUX
ejpam-3250	121	3	obtained	obtain	VERB
ejpam-3250	121	4	the	the	DET
ejpam-3250	121	5	polynomials	polynomial	NOUN
ejpam-3250	121	6	of	of	ADP
ejpam-3250	121	7	v1	v1	NOUN
ejpam-3250	121	8	,	,	PUNCT
ejpam-3250	121	9	v2	v2	PROPN
ejpam-3250	121	10	,	,	PUNCT
ejpam-3250	121	11	·	·	PUNCT
ejpam-3250	121	12	·	·	PUNCT
ejpam-3250	121	13	·	·	PUNCT
ejpam-3250	121	14	,	,	PUNCT
ejpam-3250	121	15	vn	vn	PROPN
ejpam-3250	121	16	∈	∈	PROPN
ejpam-3250	121	17	(	(	PUNCT
ejpam-3250	121	18	gf	gf	X
ejpam-3250	121	19	(	(	PUNCT
ejpam-3250	121	20	q	q	NOUN
ejpam-3250	121	21	)	)	PUNCT
ejpam-3250	121	22	)	)	PUNCT
ejpam-3250	121	23	by	by	ADP
ejpam-3250	121	24	applying	apply	VERB
ejpam-3250	121	25	algorithm	algorithm	NOUN
ejpam-3250	121	26	1	1	NUM
ejpam-3250	121	27	.	.	PUNCT
ejpam-3250	122	1	it	it	PRON
ejpam-3250	122	2	is	be	AUX
ejpam-3250	122	3	calculated	calculate	VERB
ejpam-3250	122	4	the	the	DET
ejpam-3250	122	5	images	image	NOUN
ejpam-3250	122	6	of	of	ADP
ejpam-3250	122	7	a	a	DET
ejpam-3250	122	8	secret	secret	ADJ
ejpam-3250	122	9	pieces	piece	NOUN
ejpam-3250	122	10	in	in	ADP
ejpam-3250	122	11	gf(q	gf(q	NOUN
ejpam-3250	122	12	)	)	PUNCT
ejpam-3250	122	13	as	as	SCONJ
ejpam-3250	122	14	follows	follow	VERB
ejpam-3250	122	15	.	.	PUNCT
ejpam-3250	123	1	ri	ri	X
ejpam-3250	123	2	=	=	SYM
ejpam-3250	123	3	t(vi	t(vi	PROPN
ejpam-3250	123	4	)	)	PUNCT
ejpam-3250	123	5	∈	∈	PROPN
ejpam-3250	123	6	gf	gf	X
ejpam-3250	123	7	(	(	PUNCT
ejpam-3250	123	8	q	q	NOUN
ejpam-3250	123	9	)	)	PUNCT
ejpam-3250	123	10	,	,	PUNCT
ejpam-3250	123	11	(	(	PUNCT
ejpam-3250	123	12	4	4	X
ejpam-3250	123	13	)	)	PUNCT
ejpam-3250	123	14	where	where	SCONJ
ejpam-3250	123	15	ri	ri	PROPN
ejpam-3250	123	16	is	be	AUX
ejpam-3250	123	17	an	an	DET
ejpam-3250	123	18	image	image	NOUN
ejpam-3250	123	19	of	of	ADP
ejpam-3250	123	20	participant	participant	ADJ
ejpam-3250	123	21	vi	vi	PROPN
ejpam-3250	123	22	(	(	PUNCT
ejpam-3250	123	23	0	0	NUM
ejpam-3250	123	24	≤	≤	NUM
ejpam-3250	123	25	i	i	NOUN
ejpam-3250	123	26	≤	≤	NOUN
ejpam-3250	124	1	k	k	PRON
ejpam-3250	125	1	−	−	NOUN
ejpam-3250	125	2	1	1	NUM
ejpam-3250	125	3	)	)	PUNCT
ejpam-3250	125	4	.	.	PUNCT
ejpam-3250	126	1	by	by	ADP
ejpam-3250	126	2	using	use	VERB
ejpam-3250	126	3	algorithm	algorithm	NOUN
ejpam-3250	126	4	2	2	NUM
ejpam-3250	126	5	,	,	PUNCT
ejpam-3250	126	6	the	the	DET
ejpam-3250	126	7	obtained	obtain	VERB
ejpam-3250	126	8	polynomials	polynomial	NOUN
ejpam-3250	126	9	are	be	AUX
ejpam-3250	126	10	transformed	transform	VERB
ejpam-3250	126	11	to	to	ADP
ejpam-3250	126	12	the	the	DET
ejpam-3250	126	13	integers	integer	NOUN
ejpam-3250	126	14	of	of	ADP
ejpam-3250	126	15	y1	y1	NOUN
ejpam-3250	126	16	,	,	PUNCT
ejpam-3250	126	17	y2	y2	PROPN
ejpam-3250	126	18	,	,	PUNCT
ejpam-3250	126	19	·	·	PUNCT
ejpam-3250	126	20	·	·	PUNCT
ejpam-3250	126	21	·	·	PUNCT
ejpam-3250	126	22	,	,	PUNCT
ejpam-3250	126	23	yn	yn	PRON
ejpam-3250	126	24	∈mq	∈mq	NOUN
ejpam-3250	126	25	and	and	CCONJ
ejpam-3250	126	26	distributed	distribute	VERB
ejpam-3250	126	27	to	to	ADP
ejpam-3250	126	28	the	the	DET
ejpam-3250	126	29	participants	participant	NOUN
ejpam-3250	126	30	.	.	PUNCT
ejpam-3250	127	1	3.3	3.3	NUM
ejpam-3250	127	2	.	.	PUNCT
ejpam-3250	128	1	secret	secret	ADJ
ejpam-3250	128	2	retrieval	retrieval	NOUN
ejpam-3250	128	3	procedure	procedure	NOUN
ejpam-3250	128	4	now	now	ADV
ejpam-3250	128	5	we	we	PRON
ejpam-3250	128	6	explain	explain	VERB
ejpam-3250	128	7	how	how	SCONJ
ejpam-3250	128	8	the	the	DET
ejpam-3250	128	9	secret	secret	NOUN
ejpam-3250	128	10	is	be	AUX
ejpam-3250	128	11	recovered	recover	VERB
ejpam-3250	128	12	.	.	PUNCT
ejpam-3250	129	1	consider	consider	VERB
ejpam-3250	129	2	a	a	DET
ejpam-3250	129	3	set	set	NOUN
ejpam-3250	129	4	of	of	ADP
ejpam-3250	129	5	w	w	NOUN
ejpam-3250	129	6	=	=	PUNCT
ejpam-3250	129	7	{	{	PUNCT
ejpam-3250	129	8	d1	d1	PROPN
ejpam-3250	129	9	,	,	PUNCT
ejpam-3250	129	10	d2	d2	PROPN
ejpam-3250	129	11	,	,	PUNCT
ejpam-3250	129	12	·	·	PUNCT
ejpam-3250	129	13	·	·	PUNCT
ejpam-3250	129	14	·	·	PUNCT
ejpam-3250	129	15	,	,	PUNCT
ejpam-3250	129	16	dk	dk	X
ejpam-3250	129	17	}	}	PUNCT
ejpam-3250	129	18	(	(	PUNCT
ejpam-3250	129	19	d1	d1	PROPN
ejpam-3250	129	20	,	,	PUNCT
ejpam-3250	129	21	d2	d2	PROPN
ejpam-3250	129	22	,	,	PUNCT
ejpam-3250	129	23	·	·	PUNCT
ejpam-3250	129	24	·	·	PUNCT
ejpam-3250	129	25	·	·	PUNCT
ejpam-3250	129	26	,	,	PUNCT
ejpam-3250	129	27	dk	dk	PROPN
ejpam-3250	129	28	∈	∈	PROPN
ejpam-3250	129	29	mq	mq	PROPN
ejpam-3250	129	30	)	)	PUNCT
ejpam-3250	129	31	.	.	PUNCT
ejpam-3250	130	1	the	the	DET
ejpam-3250	130	2	elements	element	NOUN
ejpam-3250	130	3	of	of	ADP
ejpam-3250	130	4	w	w	NOUN
ejpam-3250	130	5	are	be	AUX
ejpam-3250	130	6	recovered	recover	VERB
ejpam-3250	130	7	the	the	DET
ejpam-3250	130	8	secret	secret	NOUN
ejpam-3250	130	9	by	by	ADP
ejpam-3250	130	10	combining	combine	VERB
ejpam-3250	130	11	their	their	PRON
ejpam-3250	130	12	shares	share	NOUN
ejpam-3250	130	13	.	.	PUNCT
ejpam-3250	131	1	in	in	ADP
ejpam-3250	131	2	the	the	DET
ejpam-3250	131	3	ordered	order	VERB
ejpam-3250	131	4	pair	pair	NOUN
ejpam-3250	131	5	(	(	PUNCT
ejpam-3250	131	6	di	di	NOUN
ejpam-3250	131	7	,	,	PUNCT
ejpam-3250	131	8	yi	yi	PROPN
ejpam-3250	131	9	)	)	PUNCT
ejpam-3250	131	10	(	(	PUNCT
ejpam-3250	131	11	1	1	NUM
ejpam-3250	131	12	≤	≤	NUM
ejpam-3250	131	13	i	i	NOUN
ejpam-3250	131	14	≤	≤	NUM
ejpam-3250	131	15	k	k	X
ejpam-3250	131	16	)	)	PUNCT
ejpam-3250	131	17	,	,	PUNCT
ejpam-3250	131	18	di	di	PROPN
ejpam-3250	131	19	is	be	AUX
ejpam-3250	131	20	denoted	denote	VERB
ejpam-3250	131	21	by	by	ADP
ejpam-3250	131	22	the	the	DET
ejpam-3250	131	23	identity	identity	NOUN
ejpam-3250	131	24	of	of	ADP
ejpam-3250	131	25	participant	participant	NOUN
ejpam-3250	131	26	and	and	CCONJ
ejpam-3250	131	27	yi	yi	PROPN
ejpam-3250	131	28	is	be	AUX
ejpam-3250	131	29	denoted	denote	VERB
ejpam-3250	131	30	by	by	ADP
ejpam-3250	131	31	the	the	DET
ejpam-3250	131	32	secret	secret	ADJ
ejpam-3250	131	33	piece	piece	NOUN
ejpam-3250	131	34	of	of	ADP
ejpam-3250	131	35	participant	participant	ADJ
ejpam-3250	131	36	di	di	PROPN
ejpam-3250	131	37	.	.	PUNCT
ejpam-3250	132	1	these	these	PRON
ejpam-3250	132	2	ordered	order	VERB
ejpam-3250	132	3	pairs	pair	NOUN
ejpam-3250	132	4	are	be	AUX
ejpam-3250	132	5	transformed	transform	VERB
ejpam-3250	132	6	to	to	ADP
ejpam-3250	132	7	the	the	DET
ejpam-3250	132	8	polynomial	polynomial	ADJ
ejpam-3250	132	9	pairs	pair	NOUN
ejpam-3250	132	10	(	(	PUNCT
ejpam-3250	132	11	vi	vi	NOUN
ejpam-3250	132	12	,	,	PUNCT
ejpam-3250	132	13	ri	ri	NOUN
ejpam-3250	132	14	)	)	PUNCT
ejpam-3250	132	15	(	(	PUNCT
ejpam-3250	132	16	vi	vi	PROPN
ejpam-3250	132	17	,	,	PUNCT
ejpam-3250	132	18	ri	ri	PROPN
ejpam-3250	132	19	∈	∈	PROPN
ejpam-3250	132	20	gf	gf	X
ejpam-3250	132	21	(	(	PUNCT
ejpam-3250	132	22	q	q	NOUN
ejpam-3250	132	23	)	)	PUNCT
ejpam-3250	132	24	)	)	PUNCT
ejpam-3250	132	25	by	by	ADP
ejpam-3250	132	26	using	use	VERB
ejpam-3250	132	27	algorithm	algorithm	NOUN
ejpam-3250	132	28	1	1	NUM
ejpam-3250	132	29	.	.	PUNCT
ejpam-3250	133	1	then	then	ADV
ejpam-3250	133	2	the	the	DET
ejpam-3250	133	3	polynomial	polynomial	ADJ
ejpam-3250	133	4	t(x	t(x	PROPN
ejpam-3250	133	5	)	)	PUNCT
ejpam-3250	133	6	is	be	AUX
ejpam-3250	133	7	recovered	recover	VERB
ejpam-3250	133	8	by	by	ADP
ejpam-3250	133	9	lagrange	lagrange	NOUN
ejpam-3250	133	10	interpolation	interpolation	NOUN
ejpam-3250	133	11	and	and	CCONJ
ejpam-3250	133	12	the	the	DET
ejpam-3250	133	13	polynomial	polynomial	ADJ
ejpam-3250	133	14	p(x	p(x	PROPN
ejpam-3250	133	15	)	)	PUNCT
ejpam-3250	133	16	is	be	AUX
ejpam-3250	133	17	obtained	obtain	VERB
ejpam-3250	133	18	by	by	ADP
ejpam-3250	133	19	algorithm	algorithm	NOUN
ejpam-3250	133	20	2	2	NUM
ejpam-3250	133	21	.	.	PUNCT
ejpam-3250	134	1	so	so	ADV
ejpam-3250	134	2	the	the	DET
ejpam-3250	134	3	secret	secret	NOUN
ejpam-3250	134	4	is	be	AUX
ejpam-3250	134	5	recovered	recover	VERB
ejpam-3250	134	6	by	by	ADP
ejpam-3250	134	7	using	use	VERB
ejpam-3250	134	8	the	the	DET
ejpam-3250	134	9	following	follow	VERB
ejpam-3250	134	10	equality	equality	NOUN
ejpam-3250	134	11	.	.	PUNCT
ejpam-3250	135	1	s	s	PART
ejpam-3250	135	2	=	=	PUNCT
ejpam-3250	135	3	p(0	p(0	PROPN
ejpam-3250	135	4	)	)	PUNCT
ejpam-3250	135	5	(	(	PUNCT
ejpam-3250	135	6	5	5	X
ejpam-3250	135	7	)	)	PUNCT
ejpam-3250	135	8	f.	f.	PROPN
ejpam-3250	135	9	molla	molla	PROPN
ejpam-3250	135	10	,	,	PUNCT
ejpam-3250	135	11	s.	s.	PROPN
ejpam-3250	135	12	çalkavur	çalkavur	PROPN
ejpam-3250	135	13	/	/	SYM
ejpam-3250	135	14	eur	eur	PROPN
ejpam-3250	135	15	.	.	PUNCT
ejpam-3250	136	1	j.	j.	PROPN
ejpam-3250	136	2	pure	pure	PROPN
ejpam-3250	136	3	appl	appl	PROPN
ejpam-3250	136	4	.	.	PROPN
ejpam-3250	136	5	math	math	PROPN
ejpam-3250	136	6	,	,	PUNCT
ejpam-3250	136	7	11	11	NUM
ejpam-3250	136	8	(	(	PUNCT
ejpam-3250	136	9	2	2	NUM
ejpam-3250	136	10	)	)	PUNCT
ejpam-3250	136	11	(	(	PUNCT
ejpam-3250	136	12	2018	2018	NUM
ejpam-3250	136	13	)	)	PUNCT
ejpam-3250	136	14	,	,	PUNCT
ejpam-3250	136	15	468	468	NUM
ejpam-3250	136	16	-	-	SYM
ejpam-3250	136	17	475	475	NUM
ejpam-3250	136	18	472	472	NUM
ejpam-3250	136	19	note	note	VERB
ejpam-3250	136	20	that	that	SCONJ
ejpam-3250	136	21	it	it	PRON
ejpam-3250	136	22	is	be	AUX
ejpam-3250	136	23	used	use	VERB
ejpam-3250	136	24	the	the	DET
ejpam-3250	136	25	extended	extended	ADJ
ejpam-3250	136	26	euclid	euclid	PROPN
ejpam-3250	136	27	algorithm	algorithm	NOUN
ejpam-3250	136	28	to	to	PART
ejpam-3250	136	29	find	find	VERB
ejpam-3250	136	30	the	the	DET
ejpam-3250	136	31	multiplicative	multiplicative	ADJ
ejpam-3250	136	32	inverse	inverse	NOUN
ejpam-3250	136	33	of	of	ADP
ejpam-3250	136	34	a	a	DET
ejpam-3250	136	35	polynomial	polynomial	NOUN
ejpam-3250	136	36	with	with	ADP
ejpam-3250	136	37	respect	respect	NOUN
ejpam-3250	136	38	to	to	ADP
ejpam-3250	136	39	(	(	PUNCT
ejpam-3250	136	40	mod	mod	PROPN
ejpam-3250	136	41	f(x	f(x	PROPN
ejpam-3250	136	42	)	)	PUNCT
ejpam-3250	136	43	)	)	PUNCT
ejpam-3250	136	44	,	,	PUNCT
ejpam-3250	136	45	where	where	SCONJ
ejpam-3250	136	46	f(x	f(x	PROPN
ejpam-3250	136	47	)	)	PUNCT
ejpam-3250	136	48	is	be	AUX
ejpam-3250	136	49	the	the	DET
ejpam-3250	136	50	irreducible	irreducible	ADJ
ejpam-3250	136	51	polynomial	polynomial	NOUN
ejpam-3250	136	52	of	of	ADP
ejpam-3250	136	53	(	(	PUNCT
ejpam-3250	136	54	gf	gf	X
ejpam-3250	136	55	(	(	PUNCT
ejpam-3250	136	56	p))[x	p))[x	VERB
ejpam-3250	136	57	]	]	PUNCT
ejpam-3250	136	58	.	.	PUNCT
ejpam-3250	137	1	example	example	NOUN
ejpam-3250	137	2	5	5	NUM
ejpam-3250	137	3	.	.	X
ejpam-3250	137	4	assume	assume	VERB
ejpam-3250	137	5	that	that	SCONJ
ejpam-3250	137	6	gf	gf	PROPN
ejpam-3250	137	7	(	(	PUNCT
ejpam-3250	137	8	23	23	NUM
ejpam-3250	137	9	)	)	PUNCT
ejpam-3250	137	10	is	be	AUX
ejpam-3250	137	11	the	the	DET
ejpam-3250	137	12	secret	secret	ADJ
ejpam-3250	137	13	space	space	NOUN
ejpam-3250	137	14	.	.	PUNCT
ejpam-3250	138	1	let	let	VERB
ejpam-3250	138	2	the	the	DET
ejpam-3250	138	3	number	number	NOUN
ejpam-3250	138	4	of	of	ADP
ejpam-3250	138	5	participants	participant	NOUN
ejpam-3250	138	6	be	be	VERB
ejpam-3250	138	7	n	n	ADV
ejpam-3250	138	8	=	=	SYM
ejpam-3250	138	9	5	5	NUM
ejpam-3250	138	10	,	,	PUNCT
ejpam-3250	138	11	the	the	DET
ejpam-3250	138	12	threshold	threshold	NOUN
ejpam-3250	138	13	value	value	NOUN
ejpam-3250	138	14	be	be	AUX
ejpam-3250	138	15	k	k	NOUN
ejpam-3250	138	16	=	=	SYM
ejpam-3250	138	17	3	3	NUM
ejpam-3250	138	18	and	and	CCONJ
ejpam-3250	138	19	the	the	DET
ejpam-3250	138	20	secret	secret	NOUN
ejpam-3250	138	21	be	be	AUX
ejpam-3250	138	22	s	s	NOUN
ejpam-3250	138	23	=	=	ADJ
ejpam-3250	138	24	4	4	X
ejpam-3250	138	25	.	.	PUNCT
ejpam-3250	139	1	we	we	PRON
ejpam-3250	139	2	construct	construct	VERB
ejpam-3250	139	3	a	a	DET
ejpam-3250	139	4	secret	secret	ADJ
ejpam-3250	139	5	sharing	sharing	NOUN
ejpam-3250	139	6	scheme	scheme	NOUN
ejpam-3250	139	7	based	base	VERB
ejpam-3250	139	8	on	on	ADP
ejpam-3250	139	9	gf	gf	PROPN
ejpam-3250	139	10	(	(	PUNCT
ejpam-3250	139	11	23	23	NUM
ejpam-3250	139	12	)	)	PUNCT
ejpam-3250	139	13	with	with	ADP
ejpam-3250	139	14	these	these	DET
ejpam-3250	139	15	parameters	parameter	NOUN
ejpam-3250	139	16	.	.	PUNCT
ejpam-3250	140	1	consider	consider	VERB
ejpam-3250	140	2	an	an	DET
ejpam-3250	140	3	irreducible	irreducible	ADJ
ejpam-3250	140	4	polynomial	polynomial	NOUN
ejpam-3250	140	5	of	of	ADP
ejpam-3250	140	6	f(x	f(x	PROPN
ejpam-3250	140	7	)	)	PUNCT
ejpam-3250	140	8	=	=	PUNCT
ejpam-3250	141	1	x3	x3	VERB
ejpam-3250	142	1	+	+	CCONJ
ejpam-3250	142	2	x+	x+	SYM
ejpam-3250	142	3	1	1	NUM
ejpam-3250	142	4	∈	∈	NOUN
ejpam-3250	142	5	(	(	PUNCT
ejpam-3250	142	6	gf	gf	X
ejpam-3250	142	7	(	(	PUNCT
ejpam-3250	142	8	2))[x	2))[x	NUM
ejpam-3250	142	9	]	]	PUNCT
ejpam-3250	142	10	.	.	PUNCT
ejpam-3250	143	1	let	let	VERB
ejpam-3250	143	2	θ	θ	NOUN
ejpam-3250	143	3	be	be	AUX
ejpam-3250	143	4	a	a	DET
ejpam-3250	143	5	root	root	NOUN
ejpam-3250	143	6	of	of	ADP
ejpam-3250	143	7	f(x	f(x	PROPN
ejpam-3250	143	8	)	)	PUNCT
ejpam-3250	143	9	.	.	PUNCT
ejpam-3250	144	1	so	so	ADV
ejpam-3250	144	2	the	the	DET
ejpam-3250	144	3	elements	element	NOUN
ejpam-3250	144	4	of	of	ADP
ejpam-3250	144	5	gf	gf	PROPN
ejpam-3250	144	6	(	(	PUNCT
ejpam-3250	144	7	23	23	NUM
ejpam-3250	144	8	)	)	PUNCT
ejpam-3250	144	9	are	be	AUX
ejpam-3250	144	10	the	the	DET
ejpam-3250	144	11	following	following	NOUN
ejpam-3250	144	12	.	.	PUNCT
ejpam-3250	145	1	gf	gf	NOUN
ejpam-3250	145	2	(	(	PUNCT
ejpam-3250	145	3	8)	8)	NUM
ejpam-3250	145	4	=	=	SYM
ejpam-3250	145	5	{	{	PUNCT
ejpam-3250	145	6	0	0	NUM
ejpam-3250	145	7	,	,	PUNCT
ejpam-3250	145	8	1	1	NUM
ejpam-3250	145	9	,	,	PUNCT
ejpam-3250	145	10	θ	θ	PROPN
ejpam-3250	145	11	,	,	PUNCT
ejpam-3250	145	12	θ	θ	PROPN
ejpam-3250	145	13	+	+	PROPN
ejpam-3250	145	14	1	1	NUM
ejpam-3250	145	15	,	,	PUNCT
ejpam-3250	145	16	θ2	θ2	PROPN
ejpam-3250	145	17	,	,	PUNCT
ejpam-3250	145	18	θ2	θ2	ADV
ejpam-3250	145	19	+	+	NOUN
ejpam-3250	145	20	1	1	NUM
ejpam-3250	145	21	,	,	PUNCT
ejpam-3250	145	22	θ2	θ2	ADV
ejpam-3250	145	23	+	+	CCONJ
ejpam-3250	145	24	θ	θ	PROPN
ejpam-3250	145	25	,	,	PUNCT
ejpam-3250	145	26	θ2	θ2	PROPN
ejpam-3250	145	27	+	+	NUM
ejpam-3250	145	28	θ	θ	PROPN
ejpam-3250	145	29	+	+	CCONJ
ejpam-3250	145	30	1	1	NUM
ejpam-3250	145	31	}	}	PUNCT
ejpam-3250	145	32	.	.	PUNCT
ejpam-3250	146	1	θ1	θ1	NOUN
ejpam-3250	146	2	=	=	SYM
ejpam-3250	146	3	θ	θ	PROPN
ejpam-3250	146	4	θ2	θ2	NOUN
ejpam-3250	146	5	=	=	PROPN
ejpam-3250	146	6	θ2	θ2	PROPN
ejpam-3250	146	7	θ3	θ3	PROPN
ejpam-3250	146	8	=	=	PROPN
ejpam-3250	146	9	θ2	θ2	PROPN
ejpam-3250	146	10	+	+	CCONJ
ejpam-3250	146	11	1	1	NUM
ejpam-3250	146	12	θ4	θ4	NOUN
ejpam-3250	146	13	=	=	SYM
ejpam-3250	146	14	θ2	θ2	PROPN
ejpam-3250	146	15	+	+	CCONJ
ejpam-3250	146	16	θ	θ	PROPN
ejpam-3250	146	17	+	+	CCONJ
ejpam-3250	146	18	1	1	NUM
ejpam-3250	146	19	θ5	θ5	NOUN
ejpam-3250	146	20	=	=	SYM
ejpam-3250	146	21	θ	θ	PROPN
ejpam-3250	146	22	+	+	NOUN
ejpam-3250	146	23	1	1	NUM
ejpam-3250	146	24	θ6	θ6	NOUN
ejpam-3250	146	25	=	=	PUNCT
ejpam-3250	146	26	θ2	θ2	PROPN
ejpam-3250	146	27	+	+	CCONJ
ejpam-3250	146	28	θ	θ	PROPN
ejpam-3250	146	29	θ7	θ7	NOUN
ejpam-3250	146	30	=	=	PUNCT
ejpam-3250	146	31	1	1	NUM
ejpam-3250	146	32	the	the	DET
ejpam-3250	146	33	relationship	relationship	NOUN
ejpam-3250	146	34	between	between	ADP
ejpam-3250	146	35	mq	mq	PROPN
ejpam-3250	146	36	and	and	CCONJ
ejpam-3250	146	37	gf	gf	PROPN
ejpam-3250	146	38	(	(	PUNCT
ejpam-3250	146	39	q	q	X
ejpam-3250	146	40	)	)	PUNCT
ejpam-3250	146	41	is	be	AUX
ejpam-3250	146	42	as	as	SCONJ
ejpam-3250	146	43	follows	follow	VERB
ejpam-3250	146	44	.	.	PUNCT
ejpam-3250	147	1	0←→	0←→	PROPN
ejpam-3250	147	2	0	0	NUM
ejpam-3250	148	1	1←→	1←→	NUM
ejpam-3250	148	2	1	1	NUM
ejpam-3250	148	3	2←→	2←→	NUM
ejpam-3250	148	4	θ	θ	NOUN
ejpam-3250	149	1	3←→	3←→	NUM
ejpam-3250	149	2	θ	θ	NOUN
ejpam-3250	149	3	+	+	PUNCT
ejpam-3250	149	4	1	1	NUM
ejpam-3250	149	5	4←→	4←→	NUM
ejpam-3250	149	6	θ2	θ2	ADP
ejpam-3250	149	7	5←→	5←→	NUM
ejpam-3250	149	8	θ2	θ2	ADV
ejpam-3250	149	9	+	+	CCONJ
ejpam-3250	149	10	1	1	NUM
ejpam-3250	149	11	6←→	6←→	PROPN
ejpam-3250	149	12	θ2	θ2	PROPN
ejpam-3250	149	13	+	+	CCONJ
ejpam-3250	149	14	θ	θ	PROPN
ejpam-3250	149	15	7←→	7←→	NUM
ejpam-3250	149	16	θ2	θ2	PROPN
ejpam-3250	149	17	+	+	CCONJ
ejpam-3250	149	18	θ	θ	PROPN
ejpam-3250	150	1	+	+	CCONJ
ejpam-3250	150	2	1	1	NUM
ejpam-3250	150	3	we	we	PRON
ejpam-3250	150	4	choose	choose	VERB
ejpam-3250	150	5	a	a	DET
ejpam-3250	150	6	polynomial	polynomial	NOUN
ejpam-3250	150	7	in	in	ADP
ejpam-3250	150	8	m8[x	m8[x	NOUN
ejpam-3250	150	9	]	]	PUNCT
ejpam-3250	150	10	to	to	PART
ejpam-3250	150	11	construct	construct	VERB
ejpam-3250	150	12	the	the	DET
ejpam-3250	150	13	secret	secret	ADJ
ejpam-3250	150	14	pieces	piece	NOUN
ejpam-3250	150	15	.	.	PUNCT
ejpam-3250	151	1	p(x	p(x	NOUN
ejpam-3250	151	2	)	)	PUNCT
ejpam-3250	151	3	=	=	SYM
ejpam-3250	152	1	x2	x2	NOUN
ejpam-3250	153	1	+	+	CCONJ
ejpam-3250	153	2	5x+	5x+	NUM
ejpam-3250	153	3	4	4	NUM
ejpam-3250	153	4	∈m8[x	∈m8[x	NOUN
ejpam-3250	153	5	]	]	PUNCT
ejpam-3250	153	6	.	.	PUNCT
ejpam-3250	154	1	we	we	PRON
ejpam-3250	154	2	write	write	VERB
ejpam-3250	154	3	the	the	DET
ejpam-3250	154	4	elements	element	NOUN
ejpam-3250	154	5	of	of	ADP
ejpam-3250	154	6	gf	gf	PROPN
ejpam-3250	154	7	(	(	PUNCT
ejpam-3250	154	8	8)	8)	NUM
ejpam-3250	154	9	corresponding	correspond	VERB
ejpam-3250	154	10	to	to	ADP
ejpam-3250	154	11	the	the	DET
ejpam-3250	154	12	coefficients	coefficient	NOUN
ejpam-3250	154	13	of	of	ADP
ejpam-3250	154	14	p(x	p(x	NOUN
ejpam-3250	154	15	)	)	PUNCT
ejpam-3250	154	16	.	.	PUNCT
ejpam-3250	155	1	t(x	t(x	PROPN
ejpam-3250	155	2	)	)	PUNCT
ejpam-3250	156	1	=	=	SYM
ejpam-3250	157	1	x2	x2	PROPN
ejpam-3250	158	1	+	+	CCONJ
ejpam-3250	158	2	(	(	PUNCT
ejpam-3250	158	3	θ2	θ2	ADV
ejpam-3250	158	4	+	+	CCONJ
ejpam-3250	158	5	1)x+	1)x+	NUM
ejpam-3250	158	6	θ2	θ2	NOUN
ejpam-3250	158	7	∈	∈	PROPN
ejpam-3250	158	8	(	(	PUNCT
ejpam-3250	158	9	gf	gf	X
ejpam-3250	158	10	(	(	PUNCT
ejpam-3250	158	11	8))[x	8))[x	NUM
ejpam-3250	158	12	]	]	PUNCT
ejpam-3250	158	13	.	.	PUNCT
ejpam-3250	159	1	let	let	VERB
ejpam-3250	159	2	the	the	DET
ejpam-3250	159	3	ids	id	NOUN
ejpam-3250	159	4	of	of	ADP
ejpam-3250	159	5	participants	participant	NOUN
ejpam-3250	159	6	be	be	VERB
ejpam-3250	159	7	u1	u1	NOUN
ejpam-3250	159	8	=	=	SYM
ejpam-3250	159	9	1	1	NUM
ejpam-3250	159	10	,	,	PUNCT
ejpam-3250	159	11	u2	u2	NOUN
ejpam-3250	159	12	=	=	SYM
ejpam-3250	159	13	2	2	NUM
ejpam-3250	159	14	,	,	PUNCT
ejpam-3250	159	15	u3	u3	NOUN
ejpam-3250	159	16	=	=	SYM
ejpam-3250	159	17	3	3	NUM
ejpam-3250	159	18	,	,	PUNCT
ejpam-3250	159	19	u4	u4	PROPN
ejpam-3250	159	20	=	=	PROPN
ejpam-3250	159	21	4	4	NUM
ejpam-3250	159	22	,	,	PUNCT
ejpam-3250	159	23	u5	u5	NOUN
ejpam-3250	159	24	=	=	SYM
ejpam-3250	159	25	5	5	NUM
ejpam-3250	159	26	.	.	PUNCT
ejpam-3250	160	1	these	these	DET
ejpam-3250	160	2	elements	element	NOUN
ejpam-3250	160	3	correspond	correspond	VERB
ejpam-3250	160	4	to	to	PART
ejpam-3250	160	5	v1	v1	VERB
ejpam-3250	160	6	=	=	SYM
ejpam-3250	160	7	1	1	NUM
ejpam-3250	160	8	,	,	PUNCT
ejpam-3250	160	9	v2	v2	PROPN
ejpam-3250	160	10	=	=	SYM
ejpam-3250	160	11	θ	θ	PROPN
ejpam-3250	160	12	,	,	PUNCT
ejpam-3250	160	13	v3	v3	PROPN
ejpam-3250	161	1	=	=	SYM
ejpam-3250	161	2	θ	θ	PROPN
ejpam-3250	162	1	+	+	NUM
ejpam-3250	162	2	1	1	NUM
ejpam-3250	162	3	,	,	PUNCT
ejpam-3250	162	4	v4	v4	PROPN
ejpam-3250	162	5	=	=	PUNCT
ejpam-3250	162	6	θ2	θ2	PROPN
ejpam-3250	162	7	,	,	PUNCT
ejpam-3250	162	8	v5	v5	PROPN
ejpam-3250	162	9	=	=	SYM
ejpam-3250	162	10	θ2	θ2	PROPN
ejpam-3250	162	11	+	+	CCONJ
ejpam-3250	162	12	1	1	NUM
ejpam-3250	162	13	in	in	ADP
ejpam-3250	162	14	(	(	PUNCT
ejpam-3250	162	15	gf	gf	X
ejpam-3250	162	16	(	(	PUNCT
ejpam-3250	162	17	8))[x	8))[x	NUM
ejpam-3250	162	18	]	]	PUNCT
ejpam-3250	162	19	.	.	PUNCT
ejpam-3250	163	1	we	we	PRON
ejpam-3250	163	2	obtain	obtain	VERB
ejpam-3250	163	3	the	the	DET
ejpam-3250	163	4	secret	secret	ADJ
ejpam-3250	163	5	pieces	piece	NOUN
ejpam-3250	163	6	as	as	SCONJ
ejpam-3250	163	7	follows	follow	VERB
ejpam-3250	163	8	.	.	PUNCT
ejpam-3250	164	1	f.	f.	PROPN
ejpam-3250	164	2	molla	molla	PROPN
ejpam-3250	164	3	,	,	PUNCT
ejpam-3250	164	4	s.	s.	PROPN
ejpam-3250	164	5	çalkavur	çalkavur	PROPN
ejpam-3250	164	6	/	/	SYM
ejpam-3250	164	7	eur	eur	PROPN
ejpam-3250	164	8	.	.	PUNCT
ejpam-3250	165	1	j.	j.	PROPN
ejpam-3250	165	2	pure	pure	PROPN
ejpam-3250	165	3	appl	appl	PROPN
ejpam-3250	165	4	.	.	PROPN
ejpam-3250	165	5	math	math	PROPN
ejpam-3250	165	6	,	,	PUNCT
ejpam-3250	165	7	11	11	NUM
ejpam-3250	165	8	(	(	PUNCT
ejpam-3250	165	9	2	2	NUM
ejpam-3250	165	10	)	)	PUNCT
ejpam-3250	165	11	(	(	PUNCT
ejpam-3250	165	12	2018	2018	NUM
ejpam-3250	165	13	)	)	PUNCT
ejpam-3250	165	14	,	,	PUNCT
ejpam-3250	165	15	468	468	NUM
ejpam-3250	165	16	-	-	SYM
ejpam-3250	165	17	475	475	NUM
ejpam-3250	165	18	473	473	NUM
ejpam-3250	165	19	r1	r1	NOUN
ejpam-3250	165	20	=	=	PUNCT
ejpam-3250	165	21	t(v1	t(v1	NOUN
ejpam-3250	165	22	)	)	PUNCT
ejpam-3250	165	23	=	=	SYM
ejpam-3250	165	24	t(1	t(1	NOUN
ejpam-3250	165	25	)	)	PUNCT
ejpam-3250	165	26	=	=	SYM
ejpam-3250	165	27	0	0	NUM
ejpam-3250	165	28	⇒	⇒	NOUN
ejpam-3250	165	29	y1	y1	NOUN
ejpam-3250	165	30	=	=	SYM
ejpam-3250	165	31	0	0	NUM
ejpam-3250	165	32	r2	r2	NOUN
ejpam-3250	165	33	=	=	PUNCT
ejpam-3250	165	34	t(v2	t(v2	NOUN
ejpam-3250	165	35	)	)	PUNCT
ejpam-3250	165	36	=	=	SYM
ejpam-3250	165	37	t(θ	t(θ	NOUN
ejpam-3250	165	38	)	)	PUNCT
ejpam-3250	165	39	=	=	SYM
ejpam-3250	166	1	θ2	θ2	PROPN
ejpam-3250	166	2	+	+	CCONJ
ejpam-3250	166	3	θ	θ	PROPN
ejpam-3250	167	1	+	+	SYM
ejpam-3250	167	2	1	1	NUM
ejpam-3250	167	3	⇒	⇒	NOUN
ejpam-3250	167	4	y2	y2	NOUN
ejpam-3250	167	5	=	=	SYM
ejpam-3250	167	6	7	7	NUM
ejpam-3250	167	7	r3	r3	PROPN
ejpam-3250	167	8	=	=	SYM
ejpam-3250	167	9	t(v3	t(v3	NOUN
ejpam-3250	167	10	)	)	PUNCT
ejpam-3250	167	11	=	=	VERB
ejpam-3250	168	1	t(θ	t(θ	VERB
ejpam-3250	168	2	+	+	CCONJ
ejpam-3250	168	3	1	1	NUM
ejpam-3250	168	4	)	)	PUNCT
ejpam-3250	168	5	=	=	SYM
ejpam-3250	169	1	θ	θ	NOUN
ejpam-3250	169	2	+	+	NOUN
ejpam-3250	169	3	1	1	NUM
ejpam-3250	169	4	⇒	⇒	NOUN
ejpam-3250	169	5	y3	y3	NOUN
ejpam-3250	169	6	=	=	SYM
ejpam-3250	169	7	3	3	NUM
ejpam-3250	169	8	r4	r4	NOUN
ejpam-3250	169	9	=	=	PROPN
ejpam-3250	169	10	t(v4	t(v4	NOUN
ejpam-3250	169	11	)	)	PUNCT
ejpam-3250	169	12	=	=	SYM
ejpam-3250	169	13	t(θ2	t(θ2	NOUN
ejpam-3250	169	14	)	)	PUNCT
ejpam-3250	169	15	=	=	SYM
ejpam-3250	169	16	0	0	NUM
ejpam-3250	169	17	⇒	⇒	NOUN
ejpam-3250	169	18	y4	y4	NOUN
ejpam-3250	169	19	=	=	SYM
ejpam-3250	170	1	0	0	NUM
ejpam-3250	170	2	r5	r5	PROPN
ejpam-3250	170	3	=	=	SYM
ejpam-3250	170	4	t(v5	t(v5	NOUN
ejpam-3250	170	5	)	)	PUNCT
ejpam-3250	171	1	=	=	SYM
ejpam-3250	171	2	t(θ2	t(θ2	NOUN
ejpam-3250	171	3	+	+	CCONJ
ejpam-3250	171	4	1	1	NUM
ejpam-3250	171	5	)	)	PUNCT
ejpam-3250	171	6	=	=	PUNCT
ejpam-3250	171	7	θ2	θ2	PROPN
ejpam-3250	171	8	⇒	⇒	VERB
ejpam-3250	171	9	y5	y5	NOUN
ejpam-3250	171	10	=	=	NUM
ejpam-3250	171	11	4	4	NUM
ejpam-3250	171	12	the	the	DET
ejpam-3250	171	13	secret	secret	NOUN
ejpam-3250	171	14	will	will	AUX
ejpam-3250	171	15	be	be	AUX
ejpam-3250	171	16	recovered	recover	VERB
ejpam-3250	171	17	when	when	SCONJ
ejpam-3250	171	18	3	3	NUM
ejpam-3250	171	19	participants	participant	NOUN
ejpam-3250	171	20	by	by	ADP
ejpam-3250	171	21	combining	combine	VERB
ejpam-3250	171	22	their	their	PRON
ejpam-3250	171	23	shares	share	NOUN
ejpam-3250	171	24	.	.	PUNCT
ejpam-3250	172	1	we	we	PRON
ejpam-3250	172	2	try	try	VERB
ejpam-3250	172	3	to	to	PART
ejpam-3250	172	4	find	find	VERB
ejpam-3250	172	5	the	the	DET
ejpam-3250	172	6	secret	secret	NOUN
ejpam-3250	172	7	with	with	ADP
ejpam-3250	172	8	participants	participant	NOUN
ejpam-3250	172	9	2	2	NUM
ejpam-3250	172	10	,	,	PUNCT
ejpam-3250	172	11	4	4	NUM
ejpam-3250	172	12	and	and	CCONJ
ejpam-3250	172	13	5	5	NUM
ejpam-3250	172	14	.	.	PUNCT
ejpam-3250	173	1	t(x	t(x	PROPN
ejpam-3250	173	2	)	)	PUNCT
ejpam-3250	174	1	=	=	PUNCT
ejpam-3250	175	1	∑	∑	PROPN
ejpam-3250	175	2	j∈w	j∈w	NOUN
ejpam-3250	175	3	yjlj(x	yjlj(x	PROPN
ejpam-3250	175	4	)	)	PUNCT
ejpam-3250	175	5	,	,	PUNCT
ejpam-3250	175	6	lj(x	lj(x	PUNCT
ejpam-3250	175	7	)	)	PUNCT
ejpam-3250	175	8	=	=	SYM
ejpam-3250	175	9	∏	∏	NUM
ejpam-3250	175	10	m∈w−{j	m∈w−{j	PROPN
ejpam-3250	175	11	}	}	PUNCT
ejpam-3250	175	12	x−	x−	PROPN
ejpam-3250	175	13	xm	xm	PROPN
ejpam-3250	175	14	xj	xj	PROPN
ejpam-3250	175	15	−	−	PROPN
ejpam-3250	176	1	xm	xm	PROPN
ejpam-3250	176	2	,	,	PUNCT
ejpam-3250	176	3	where	where	SCONJ
ejpam-3250	176	4	w	w	NOUN
ejpam-3250	176	5	=	=	SYM
ejpam-3250	176	6	{	{	PUNCT
ejpam-3250	176	7	2	2	NUM
ejpam-3250	176	8	,	,	PUNCT
ejpam-3250	176	9	4	4	NUM
ejpam-3250	176	10	,	,	PUNCT
ejpam-3250	176	11	5	5	NUM
ejpam-3250	176	12	}	}	PUNCT
ejpam-3250	176	13	.	.	PUNCT
ejpam-3250	177	1	then	then	ADV
ejpam-3250	177	2	we	we	PRON
ejpam-3250	177	3	obtain	obtain	VERB
ejpam-3250	177	4	the	the	DET
ejpam-3250	177	5	following	follow	VERB
ejpam-3250	177	6	equation	equation	NOUN
ejpam-3250	177	7	.	.	PUNCT
ejpam-3250	178	1	so	so	ADV
ejpam-3250	178	2	we	we	PRON
ejpam-3250	178	3	recover	recover	VERB
ejpam-3250	178	4	the	the	DET
ejpam-3250	178	5	secret	secret	NOUN
ejpam-3250	178	6	in	in	ADP
ejpam-3250	178	7	this	this	DET
ejpam-3250	178	8	way	way	NOUN
ejpam-3250	178	9	.	.	PUNCT
ejpam-3250	179	1	t(x	t(x	PROPN
ejpam-3250	179	2	)	)	PUNCT
ejpam-3250	180	1	=	=	SYM
ejpam-3250	181	1	x2	x2	PROPN
ejpam-3250	182	1	+	+	CCONJ
ejpam-3250	182	2	(	(	PUNCT
ejpam-3250	182	3	θ2	θ2	ADV
ejpam-3250	182	4	+	+	CCONJ
ejpam-3250	182	5	1)x+	1)x+	NUM
ejpam-3250	182	6	(	(	PUNCT
ejpam-3250	182	7	θ2	θ2	PROPN
ejpam-3250	182	8	)	)	PUNCT
ejpam-3250	182	9	∈	∈	PROPN
ejpam-3250	182	10	(	(	PUNCT
ejpam-3250	182	11	gf	gf	X
ejpam-3250	182	12	(	(	PUNCT
ejpam-3250	182	13	8))[x	8))[x	NUM
ejpam-3250	182	14	]	]	PUNCT
ejpam-3250	182	15	.	.	PUNCT
ejpam-3250	183	1	p(x	p(x	NOUN
ejpam-3250	183	2	)	)	PUNCT
ejpam-3250	183	3	=	=	SYM
ejpam-3250	184	1	x2	x2	NOUN
ejpam-3250	185	1	+	+	CCONJ
ejpam-3250	185	2	5x+	5x+	NUM
ejpam-3250	185	3	4	4	NUM
ejpam-3250	185	4	∈mq[x	∈mq[x	PROPN
ejpam-3250	185	5	]	]	PUNCT
ejpam-3250	185	6	.	.	PUNCT
ejpam-3250	186	1	s	s	PART
ejpam-3250	186	2	=	=	PUNCT
ejpam-3250	186	3	p(0	p(0	PROPN
ejpam-3250	186	4	)	)	PUNCT
ejpam-3250	186	5	=	=	PUNCT
ejpam-3250	187	1	4	4	NUM
ejpam-3250	187	2	.	.	NOUN
ejpam-3250	187	3	4	4	NUM
ejpam-3250	187	4	.	.	NOUN
ejpam-3250	187	5	analysis	analysis	NOUN
ejpam-3250	187	6	and	and	CCONJ
ejpam-3250	187	7	discussion	discussion	NOUN
ejpam-3250	187	8	4.1	4.1	NUM
ejpam-3250	187	9	.	.	PUNCT
ejpam-3250	188	1	security	security	NOUN
ejpam-3250	188	2	analysis	analysis	NOUN
ejpam-3250	188	3	we	we	PRON
ejpam-3250	188	4	discuss	discuss	VERB
ejpam-3250	188	5	the	the	DET
ejpam-3250	188	6	security	security	NOUN
ejpam-3250	188	7	of	of	ADP
ejpam-3250	188	8	the	the	DET
ejpam-3250	188	9	proposed	propose	VERB
ejpam-3250	188	10	(	(	PUNCT
ejpam-3250	188	11	k	k	NOUN
ejpam-3250	188	12	,	,	PUNCT
ejpam-3250	188	13	n)-secret	n)-secret	ADJ
ejpam-3250	188	14	sharing	sharing	NOUN
ejpam-3250	188	15	scheme	scheme	NOUN
ejpam-3250	188	16	is	be	AUX
ejpam-3250	188	17	as	as	SCONJ
ejpam-3250	188	18	follows	follow	VERB
ejpam-3250	188	19	.	.	PUNCT
ejpam-3250	189	1	introducing	introduce	VERB
ejpam-3250	189	2	more	more	ADJ
ejpam-3250	189	3	general	general	ADJ
ejpam-3250	189	4	polynomial	polynomial	ADJ
ejpam-3250	189	5	p(x	p(x	NOUN
ejpam-3250	189	6	)	)	PUNCT
ejpam-3250	189	7	=	=	PUNCT
ejpam-3250	189	8	k−1∑	k−1∑	PROPN
ejpam-3250	189	9	i=0	i=0	PROPN
ejpam-3250	189	10	aix	aix	PROPN
ejpam-3250	189	11	i	i	PRON
ejpam-3250	189	12	∈mq[x	∈mq[x	PROPN
ejpam-3250	189	13	]	]	PUNCT
ejpam-3250	189	14	as	as	ADP
ejpam-3250	189	15	the	the	DET
ejpam-3250	189	16	polynomial	polynomial	ADJ
ejpam-3250	189	17	secret	secret	NOUN
ejpam-3250	189	18	in	in	ADP
ejpam-3250	189	19	shamir	shamir	PROPN
ejpam-3250	189	20	’s	’s	PART
ejpam-3250	189	21	scheme	scheme	NOUN
ejpam-3250	189	22	we	we	PRON
ejpam-3250	189	23	obtain	obtain	VERB
ejpam-3250	189	24	,	,	PUNCT
ejpam-3250	189	25	a	a	DET
ejpam-3250	189	26	scheme	scheme	NOUN
ejpam-3250	189	27	that	that	PRON
ejpam-3250	189	28	is	be	AUX
ejpam-3250	189	29	not	not	PART
ejpam-3250	189	30	simple	simple	ADJ
ejpam-3250	189	31	to	to	PART
ejpam-3250	189	32	break	break	VERB
ejpam-3250	189	33	the	the	DET
ejpam-3250	189	34	secret	secret	NOUN
ejpam-3250	189	35	.	.	PUNCT
ejpam-3250	190	1	to	to	PART
ejpam-3250	190	2	compute	compute	VERB
ejpam-3250	190	3	the	the	DET
ejpam-3250	190	4	secret	secret	NOUN
ejpam-3250	190	5	we	we	PRON
ejpam-3250	190	6	have	have	VERB
ejpam-3250	190	7	to	to	PART
ejpam-3250	190	8	do	do	VERB
ejpam-3250	190	9	computation	computation	NOUN
ejpam-3250	190	10	in	in	ADP
ejpam-3250	190	11	a	a	DET
ejpam-3250	190	12	field	field	NOUN
ejpam-3250	190	13	extension	extension	NOUN
ejpam-3250	190	14	.	.	PUNCT
ejpam-3250	191	1	we	we	PRON
ejpam-3250	191	2	use	use	VERB
ejpam-3250	191	3	a	a	DET
ejpam-3250	191	4	new	new	ADJ
ejpam-3250	191	5	approach	approach	NOUN
ejpam-3250	191	6	in	in	ADP
ejpam-3250	191	7	the	the	DET
ejpam-3250	191	8	elements	element	NOUN
ejpam-3250	191	9	of	of	ADP
ejpam-3250	191	10	the	the	DET
ejpam-3250	191	11	field	field	NOUN
ejpam-3250	191	12	extension	extension	NOUN
ejpam-3250	191	13	.	.	PUNCT
ejpam-3250	192	1	that	that	PRON
ejpam-3250	192	2	is	be	AUX
ejpam-3250	192	3	by	by	ADP
ejpam-3250	192	4	finding	find	VERB
ejpam-3250	192	5	a	a	DET
ejpam-3250	192	6	primitive	primitive	ADJ
ejpam-3250	192	7	element	element	NOUN
ejpam-3250	192	8	of	of	ADP
ejpam-3250	192	9	the	the	DET
ejpam-3250	192	10	field	field	NOUN
ejpam-3250	192	11	and	and	CCONJ
ejpam-3250	192	12	then	then	ADV
ejpam-3250	192	13	express	express	VERB
ejpam-3250	192	14	each	each	DET
ejpam-3250	192	15	its	its	PRON
ejpam-3250	192	16	elements	element	NOUN
ejpam-3250	192	17	as	as	ADP
ejpam-3250	192	18	a	a	DET
ejpam-3250	192	19	power	power	NOUN
ejpam-3250	192	20	of	of	ADP
ejpam-3250	192	21	a	a	DET
ejpam-3250	192	22	primitive	primitive	ADJ
ejpam-3250	192	23	element	element	NOUN
ejpam-3250	192	24	.	.	PUNCT
ejpam-3250	193	1	the	the	DET
ejpam-3250	193	2	secret	secret	NOUN
ejpam-3250	193	3	can	can	AUX
ejpam-3250	193	4	be	be	AUX
ejpam-3250	193	5	reached	reach	VERB
ejpam-3250	193	6	every	every	DET
ejpam-3250	193	7	element	element	NOUN
ejpam-3250	193	8	of	of	ADP
ejpam-3250	193	9	field	field	NOUN
ejpam-3250	193	10	extension	extension	NOUN
ejpam-3250	193	11	fq	fq	NOUN
ejpam-3250	193	12	(	(	PUNCT
ejpam-3250	193	13	q	q	NOUN
ejpam-3250	193	14	=	=	SYM
ejpam-3250	193	15	pm	pm	NOUN
ejpam-3250	193	16	)	)	PUNCT
ejpam-3250	193	17	can	can	AUX
ejpam-3250	193	18	be	be	AUX
ejpam-3250	193	19	uniquely	uniquely	ADV
ejpam-3250	193	20	expressed	express	VERB
ejpam-3250	193	21	as	as	ADP
ejpam-3250	193	22	a	a	DET
ejpam-3250	193	23	polynomial	polynomial	NOUN
ejpam-3250	193	24	in	in	ADP
ejpam-3250	193	25	θ	θ	PROPN
ejpam-3250	193	26	over	over	ADP
ejpam-3250	193	27	fp	fp	PROPN
ejpam-3250	193	28	of	of	ADP
ejpam-3250	193	29	degree	degree	NOUN
ejpam-3250	193	30	less	less	ADV
ejpam-3250	193	31	then	then	ADV
ejpam-3250	193	32	m.	m.	PROPN
ejpam-3250	194	1	so	so	ADV
ejpam-3250	194	2	,	,	PUNCT
ejpam-3250	194	3	the	the	DET
ejpam-3250	194	4	access	access	NOUN
ejpam-3250	194	5	structure	structure	NOUN
ejpam-3250	194	6	of	of	ADP
ejpam-3250	194	7	this	this	DET
ejpam-3250	194	8	scheme	scheme	NOUN
ejpam-3250	194	9	is	be	AUX
ejpam-3250	194	10	very	very	ADV
ejpam-3250	194	11	strong	strong	ADJ
ejpam-3250	194	12	and	and	CCONJ
ejpam-3250	194	13	reliable	reliable	ADJ
ejpam-3250	194	14	.	.	PUNCT
ejpam-3250	195	1	references	reference	NOUN
ejpam-3250	195	2	474	474	NUM
ejpam-3250	195	3	4.2	4.2	NUM
ejpam-3250	195	4	.	.	PUNCT
ejpam-3250	196	1	performance	performance	NOUN
ejpam-3250	196	2	analysis	analysis	NOUN
ejpam-3250	196	3	the	the	DET
ejpam-3250	196	4	access	access	NOUN
ejpam-3250	196	5	structure	structure	NOUN
ejpam-3250	196	6	of	of	ADP
ejpam-3250	196	7	this	this	DET
ejpam-3250	196	8	scheme	scheme	NOUN
ejpam-3250	196	9	consists	consist	VERB
ejpam-3250	196	10	of	of	ADP
ejpam-3250	196	11	the	the	DET
ejpam-3250	196	12	k	k	PROPN
ejpam-3250	196	13	elements	element	NOUN
ejpam-3250	196	14	since	since	SCONJ
ejpam-3250	196	15	the	the	DET
ejpam-3250	196	16	degree	degree	NOUN
ejpam-3250	196	17	of	of	ADP
ejpam-3250	196	18	a	a	DET
ejpam-3250	196	19	polynomial	polynomial	ADJ
ejpam-3250	196	20	p(x	p(x	NOUN
ejpam-3250	196	21	)	)	PUNCT
ejpam-3250	196	22	is	be	AUX
ejpam-3250	196	23	k	k	NOUN
ejpam-3250	196	24	−	−	PROPN
ejpam-3250	196	25	1	1	NUM
ejpam-3250	196	26	.	.	PUNCT
ejpam-3250	197	1	the	the	DET
ejpam-3250	197	2	possible	possible	ADJ
ejpam-3250	197	3	attack	attack	NOUN
ejpam-3250	197	4	can	can	AUX
ejpam-3250	197	5	be	be	AUX
ejpam-3250	197	6	explained	explain	VERB
ejpam-3250	197	7	as	as	SCONJ
ejpam-3250	197	8	follows	follow	VERB
ejpam-3250	197	9	.	.	PUNCT
ejpam-3250	198	1	if	if	SCONJ
ejpam-3250	198	2	k−	k−	PROPN
ejpam-3250	198	3	h	h	PROPN
ejpam-3250	198	4	say	say	VERB
ejpam-3250	198	5	,	,	PUNCT
ejpam-3250	198	6	with	with	ADP
ejpam-3250	198	7	1	1	NUM
ejpam-3250	198	8	≤	≤	NUM
ejpam-3250	198	9	h	h	NOUN
ejpam-3250	198	10	≤	≤	NOUN
ejpam-3250	198	11	k	k	PROPN
ejpam-3250	198	12	participant	participant	PROPN
ejpam-3250	198	13	group	group	NOUN
ejpam-3250	198	14	together	together	ADV
ejpam-3250	198	15	they	they	PRON
ejpam-3250	198	16	can	can	AUX
ejpam-3250	198	17	guess	guess	VERB
ejpam-3250	198	18	the	the	DET
ejpam-3250	198	19	secret	secret	NOUN
ejpam-3250	198	20	with	with	ADP
ejpam-3250	198	21	probability	probability	NOUN
ejpam-3250	198	22	1	1	NUM
ejpam-3250	198	23	h+1	h+1	NOUN
ejpam-3250	198	24	≤	≤	NUM
ejpam-3250	198	25	1	1	NUM
ejpam-3250	198	26	2	2	NUM
ejpam-3250	198	27	.	.	PUNCT
ejpam-3250	199	1	5	5	X
ejpam-3250	199	2	.	.	X
ejpam-3250	199	3	conclusion	conclusion	NOUN
ejpam-3250	199	4	in	in	ADP
ejpam-3250	199	5	this	this	DET
ejpam-3250	199	6	present	present	ADJ
ejpam-3250	199	7	article	article	NOUN
ejpam-3250	199	8	we	we	PRON
ejpam-3250	199	9	obtain	obtain	VERB
ejpam-3250	199	10	a	a	DET
ejpam-3250	199	11	(	(	PUNCT
ejpam-3250	199	12	k	k	NOUN
ejpam-3250	199	13	,	,	PUNCT
ejpam-3250	199	14	n)-threshold	n)-threshold	ADJ
ejpam-3250	199	15	scheme	scheme	NOUN
ejpam-3250	199	16	using	use	VERB
ejpam-3250	199	17	the	the	DET
ejpam-3250	199	18	elements	element	NOUN
ejpam-3250	199	19	of	of	ADP
ejpam-3250	199	20	field	field	NOUN
ejpam-3250	199	21	extension	extension	NOUN
ejpam-3250	199	22	.	.	PUNCT
ejpam-3250	200	1	our	our	PRON
ejpam-3250	200	2	scheme	scheme	NOUN
ejpam-3250	200	3	has	have	VERB
ejpam-3250	200	4	the	the	DET
ejpam-3250	200	5	same	same	ADJ
ejpam-3250	200	6	distributed	distribute	VERB
ejpam-3250	200	7	as	as	ADP
ejpam-3250	200	8	shamir	shamir	NOUN
ejpam-3250	200	9	’s	’s	PART
ejpam-3250	200	10	scheme	scheme	NOUN
ejpam-3250	200	11	does	do	AUX
ejpam-3250	200	12	.	.	PUNCT
ejpam-3250	201	1	we	we	PRON
ejpam-3250	201	2	choose	choose	VERB
ejpam-3250	201	3	the	the	DET
ejpam-3250	201	4	secret	secret	NOUN
ejpam-3250	201	5	as	as	ADP
ejpam-3250	201	6	an	an	DET
ejpam-3250	201	7	element	element	NOUN
ejpam-3250	201	8	of	of	ADP
ejpam-3250	201	9	mq	mq	PROPN
ejpam-3250	201	10	and	and	CCONJ
ejpam-3250	201	11	then	then	ADV
ejpam-3250	201	12	some	some	DET
ejpam-3250	201	13	participants	participant	NOUN
ejpam-3250	201	14	use	use	VERB
ejpam-3250	201	15	the	the	DET
ejpam-3250	201	16	lagrange	lagrange	PROPN
ejpam-3250	201	17	interpolation	interpolation	NOUN
ejpam-3250	201	18	to	to	PART
ejpam-3250	201	19	recover	recover	VERB
ejpam-3250	201	20	the	the	DET
ejpam-3250	201	21	secret	secret	NOUN
ejpam-3250	201	22	.	.	PUNCT
ejpam-3250	202	1	moreover	moreover	ADV
ejpam-3250	202	2	,	,	PUNCT
ejpam-3250	202	3	we	we	PRON
ejpam-3250	202	4	introduce	introduce	VERB
ejpam-3250	202	5	the	the	DET
ejpam-3250	202	6	access	access	NOUN
ejpam-3250	202	7	structure	structure	NOUN
ejpam-3250	202	8	of	of	ADP
ejpam-3250	202	9	this	this	DET
ejpam-3250	202	10	scheme	scheme	NOUN
ejpam-3250	202	11	and	and	CCONJ
ejpam-3250	202	12	consider	consider	VERB
ejpam-3250	202	13	the	the	DET
ejpam-3250	202	14	possible	possible	ADJ
ejpam-3250	202	15	attack	attack	NOUN
ejpam-3250	202	16	.	.	PUNCT
ejpam-3250	203	1	the	the	DET
ejpam-3250	203	2	secret	secret	NOUN
ejpam-3250	203	3	can	can	AUX
ejpam-3250	203	4	be	be	AUX
ejpam-3250	203	5	recovered	recover	VERB
ejpam-3250	203	6	only	only	ADV
ejpam-3250	203	7	by	by	ADP
ejpam-3250	203	8	the	the	DET
ejpam-3250	203	9	some	some	DET
ejpam-3250	203	10	elements	element	NOUN
ejpam-3250	203	11	of	of	ADP
ejpam-3250	203	12	field	field	NOUN
ejpam-3250	203	13	extension	extension	NOUN
ejpam-3250	203	14	which	which	PRON
ejpam-3250	203	15	are	be	AUX
ejpam-3250	203	16	uniquely	uniquely	ADV
ejpam-3250	203	17	determined	determined	ADJ
ejpam-3250	203	18	.	.	PUNCT
ejpam-3250	204	1	this	this	PRON
ejpam-3250	204	2	means	mean	VERB
ejpam-3250	204	3	the	the	DET
ejpam-3250	204	4	access	access	NOUN
ejpam-3250	204	5	structure	structure	NOUN
ejpam-3250	204	6	of	of	ADP
ejpam-3250	204	7	this	this	DET
ejpam-3250	204	8	scheme	scheme	NOUN
ejpam-3250	204	9	is	be	AUX
ejpam-3250	204	10	very	very	ADV
ejpam-3250	204	11	strong	strong	ADJ
ejpam-3250	204	12	and	and	CCONJ
ejpam-3250	204	13	reliable	reliable	ADJ
ejpam-3250	204	14	.	.	PUNCT
ejpam-3250	205	1	references	reference	NOUN
ejpam-3250	205	2	[	[	X
ejpam-3250	205	3	1	1	NUM
ejpam-3250	205	4	]	]	PUNCT
ejpam-3250	205	5	l	l	NOUN
ejpam-3250	205	6	bai	bai	PROPN
ejpam-3250	205	7	,	,	PUNCT
ejpam-3250	205	8	”	"	PUNCT
ejpam-3250	205	9	a	a	DET
ejpam-3250	205	10	reliable	reliable	ADJ
ejpam-3250	205	11	(	(	PUNCT
ejpam-3250	205	12	k	k	NOUN
ejpam-3250	205	13	,	,	PUNCT
ejpam-3250	205	14	n)-image	n)-image	ADJ
ejpam-3250	205	15	secret	secret	ADJ
ejpam-3250	205	16	sharing	sharing	NOUN
ejpam-3250	205	17	scheme	scheme	NOUN
ejpam-3250	205	18	”	"	PUNCT
ejpam-3250	205	19	,	,	PUNCT
ejpam-3250	205	20	proc	proc	NOUN
ejpam-3250	205	21	.	.	PUNCT
ejpam-3250	206	1	of	of	ADP
ejpam-3250	206	2	the	the	DET
ejpam-3250	206	3	2nd	2nd	ADJ
ejpam-3250	206	4	international	international	ADJ
ejpam-3250	206	5	symposium	symposium	NOUN
ejpam-3250	206	6	on	on	ADP
ejpam-3250	206	7	dependable	dependable	ADJ
ejpam-3250	206	8	,	,	PUNCT
ejpam-3250	206	9	autonomic	autonomic	ADJ
ejpam-3250	206	10	and	and	CCONJ
ejpam-3250	206	11	secure	secure	ADJ
ejpam-3250	206	12	computing	compute	VERB
ejpam-3250	206	13	dasc’06	dasc’06	NOUN
ejpam-3250	206	14	,	,	PUNCT
ejpam-3250	206	15	pp.1	pp.1	PROPN
ejpam-3250	206	16	-	-	PUNCT
ejpam-3250	206	17	6	6	NUM
ejpam-3250	206	18	,	,	PUNCT
ejpam-3250	206	19	1993	1993	NUM
ejpam-3250	207	1	.	.	PUNCT
ejpam-3250	208	1	[	[	X
ejpam-3250	208	2	2	2	X
ejpam-3250	208	3	]	]	SYM
ejpam-3250	208	4	g	g	NOUN
ejpam-3250	208	5	r	r	NOUN
ejpam-3250	208	6	blakley	blakley	NOUN
ejpam-3250	208	7	,	,	PUNCT
ejpam-3250	208	8	”	"	PUNCT
ejpam-3250	208	9	safeguarding	safeguard	VERB
ejpam-3250	208	10	cryptographic	cryptographic	ADJ
ejpam-3250	208	11	keys	key	NOUN
ejpam-3250	208	12	”	"	PUNCT
ejpam-3250	208	13	,	,	PUNCT
ejpam-3250	208	14	in	in	ADP
ejpam-3250	208	15	proceedings	proceeding	NOUN
ejpam-3250	208	16	of	of	ADP
ejpam-3250	208	17	the	the	DET
ejpam-3250	208	18	1979	1979	NUM
ejpam-3250	208	19	afips	afips	PROPN
ejpam-3250	208	20	national	national	PROPN
ejpam-3250	208	21	computer	computer	NOUN
ejpam-3250	208	22	conference	conference	PROPN
ejpam-3250	208	23	,	,	PUNCT
ejpam-3250	208	24	vol	vol	NOUN
ejpam-3250	208	25	.	.	PROPN
ejpam-3250	209	1	48	48	NUM
ejpam-3250	209	2	,	,	PUNCT
ejpam-3250	209	3	pp	pp	ADJ
ejpam-3250	209	4	.	.	PUNCT
ejpam-3250	210	1	313	313	NUM
ejpam-3250	210	2	-	-	SYM
ejpam-3250	210	3	317	317	NUM
ejpam-3250	210	4	,	,	PUNCT
ejpam-3250	210	5	jun	jun	PROPN
ejpam-3250	210	6	.	.	PROPN
ejpam-3250	210	7	1979	1979	NUM
ejpam-3250	210	8	.	.	PUNCT
ejpam-3250	211	1	[	[	X
ejpam-3250	211	2	3	3	NUM
ejpam-3250	211	3	]	]	X
ejpam-3250	211	4	s	s	VERB
ejpam-3250	211	5	çalkavur	çalkavur	NOUN
ejpam-3250	211	6	,	,	PUNCT
ejpam-3250	211	7	and	and	CCONJ
ejpam-3250	211	8	p	p	NOUN
ejpam-3250	211	9	solé	solé	NOUN
ejpam-3250	211	10	,	,	PUNCT
ejpam-3250	211	11	”	"	PUNCT
ejpam-3250	211	12	multisecret	multisecret	ADJ
ejpam-3250	211	13	sharing	sharing	NOUN
ejpam-3250	211	14	schemes	scheme	NOUN
ejpam-3250	211	15	and	and	CCONJ
ejpam-3250	211	16	bounded	bound	VERB
ejpam-3250	211	17	distance	distance	NOUN
ejpam-3250	211	18	decoding	decoding	NOUN
ejpam-3250	211	19	of	of	ADP
ejpam-3250	211	20	linear	linear	PROPN
ejpam-3250	211	21	codes	code	NOUN
ejpam-3250	211	22	”	"	PUNCT
ejpam-3250	211	23	,	,	PUNCT
ejpam-3250	211	24	international	international	ADJ
ejpam-3250	211	25	journal	journal	NOUN
ejpam-3250	211	26	of	of	ADP
ejpam-3250	211	27	computer	computer	NOUN
ejpam-3250	211	28	mathematics	mathematic	NOUN
ejpam-3250	211	29	,	,	PUNCT
ejpam-3250	211	30	vol	vol	NOUN
ejpam-3250	211	31	.	.	PROPN
ejpam-3250	211	32	94	94	NUM
ejpam-3250	211	33	,	,	PUNCT
ejpam-3250	211	34	issue	issue	NOUN
ejpam-3250	211	35	.	.	PUNCT
ejpam-3250	212	1	1	1	NUM
ejpam-3250	212	2	,	,	PUNCT
ejpam-3250	212	3	pp	pp	ADJ
ejpam-3250	212	4	.	.	PUNCT
ejpam-3250	213	1	107	107	NUM
ejpam-3250	213	2	-	-	SYM
ejpam-3250	213	3	114	114	NUM
ejpam-3250	213	4	,	,	PUNCT
ejpam-3250	213	5	2017	2017	NUM
ejpam-3250	213	6	.	.	PUNCT
ejpam-3250	214	1	[	[	X
ejpam-3250	214	2	4	4	NUM
ejpam-3250	214	3	]	]	X
ejpam-3250	214	4	c	c	X
ejpam-3250	214	5	ding	ding	NOUN
ejpam-3250	214	6	,	,	PUNCT
ejpam-3250	214	7	d	d	PROPN
ejpam-3250	214	8	kohel	kohel	PROPN
ejpam-3250	214	9	,	,	PUNCT
ejpam-3250	214	10	and	and	CCONJ
ejpam-3250	214	11	s	s	AUX
ejpam-3250	214	12	ling	ling	NOUN
ejpam-3250	214	13	,	,	PUNCT
ejpam-3250	214	14	”	"	PUNCT
ejpam-3250	214	15	secret	secret	ADJ
ejpam-3250	214	16	sharing	sharing	NOUN
ejpam-3250	214	17	with	with	ADP
ejpam-3250	214	18	a	a	DET
ejpam-3250	214	19	class	class	NOUN
ejpam-3250	214	20	of	of	ADP
ejpam-3250	214	21	ternary	ternary	ADJ
ejpam-3250	214	22	codes	code	NOUN
ejpam-3250	214	23	”	"	PUNCT
ejpam-3250	214	24	,	,	PUNCT
ejpam-3250	214	25	theor	theor	PROPN
ejpam-3250	214	26	.	.	PUNCT
ejpam-3250	215	1	comp	comp	PROPN
ejpam-3250	215	2	.	.	PUNCT
ejpam-3250	216	1	sci	sci	PROPN
ejpam-3250	216	2	.	.	PROPN
ejpam-3250	216	3	,	,	PUNCT
ejpam-3250	216	4	vol	vol	NOUN
ejpam-3250	216	5	.	.	PROPN
ejpam-3250	217	1	246	246	NUM
ejpam-3250	217	2	,	,	PUNCT
ejpam-3250	217	3	pp	pp	ADJ
ejpam-3250	217	4	.	.	PUNCT
ejpam-3250	218	1	285	285	NUM
ejpam-3250	218	2	-	-	SYM
ejpam-3250	218	3	298	298	NUM
ejpam-3250	218	4	,	,	PUNCT
ejpam-3250	218	5	2000	2000	NUM
ejpam-3250	218	6	.	.	PUNCT
ejpam-3250	219	1	[	[	X
ejpam-3250	219	2	5	5	NUM
ejpam-3250	219	3	]	]	X
ejpam-3250	219	4	l	l	X
ejpam-3250	219	5	harn	harn	PROPN
ejpam-3250	219	6	,	,	PUNCT
ejpam-3250	219	7	and	and	CCONJ
ejpam-3250	219	8	c	c	PROPN
ejpam-3250	219	9	lin	lin	PROPN
ejpam-3250	219	10	,	,	PUNCT
ejpam-3250	219	11	”	"	PUNCT
ejpam-3250	219	12	detection	detection	NOUN
ejpam-3250	219	13	and	and	CCONJ
ejpam-3250	219	14	identification	identification	NOUN
ejpam-3250	219	15	of	of	ADP
ejpam-3250	219	16	cheaters	cheater	NOUN
ejpam-3250	219	17	in	in	ADP
ejpam-3250	219	18	(	(	PUNCT
ejpam-3250	219	19	t	t	PROPN
ejpam-3250	219	20	,	,	PUNCT
ejpam-3250	219	21	n	n	CCONJ
ejpam-3250	219	22	)	)	PUNCT
ejpam-3250	219	23	secret	secret	ADJ
ejpam-3250	219	24	sharing	sharing	NOUN
ejpam-3250	219	25	schem	schem	NOUN
ejpam-3250	219	26	”	"	PUNCT
ejpam-3250	219	27	,	,	PUNCT
ejpam-3250	219	28	des	des	PROPN
ejpam-3250	219	29	.	.	PROPN
ejpam-3250	219	30	codes	code	NOUN
ejpam-3250	219	31	cryptography	cryptography	NOUN
ejpam-3250	219	32	,	,	PUNCT
ejpam-3250	219	33	vol	vol	NOUN
ejpam-3250	219	34	.	.	PROPN
ejpam-3250	220	1	52	52	NUM
ejpam-3250	220	2	,	,	PUNCT
ejpam-3250	220	3	no	no	INTJ
ejpam-3250	220	4	.	.	NOUN
ejpam-3250	220	5	1	1	NUM
ejpam-3250	220	6	,	,	PUNCT
ejpam-3250	220	7	pp	pp	ADJ
ejpam-3250	220	8	.	.	PUNCT
ejpam-3250	221	1	15	15	NUM
ejpam-3250	221	2	-	-	SYM
ejpam-3250	221	3	24	24	NUM
ejpam-3250	221	4	,	,	PUNCT
ejpam-3250	221	5	jul	jul	PROPN
ejpam-3250	221	6	.	.	PROPN
ejpam-3250	221	7	2009	2009	NUM
ejpam-3250	221	8	.	.	PUNCT
ejpam-3250	222	1	[	[	X
ejpam-3250	222	2	6	6	NUM
ejpam-3250	222	3	]	]	X
ejpam-3250	222	4	l	l	X
ejpam-3250	222	5	harn	harn	PROPN
ejpam-3250	222	6	,	,	PUNCT
ejpam-3250	222	7	comment	comment	NOUN
ejpam-3250	222	8	on	on	ADP
ejpam-3250	222	9	”	"	PUNCT
ejpam-3250	222	10	multistage	multistage	NOUN
ejpam-3250	222	11	secret	secret	ADJ
ejpam-3250	222	12	sharing	sharing	NOUN
ejpam-3250	222	13	based	base	VERB
ejpam-3250	222	14	on	on	ADP
ejpam-3250	222	15	one	one	NUM
ejpam-3250	222	16	-	-	PUNCT
ejpam-3250	222	17	way	way	NOUN
ejpam-3250	222	18	function	function	NOUN
ejpam-3250	222	19	”	"	PUNCT
ejpam-3250	222	20	,	,	PUNCT
ejpam-3250	222	21	electronics	electronic	NOUN
ejpam-3250	222	22	letters	letter	NOUN
ejpam-3250	222	23	,	,	PUNCT
ejpam-3250	222	24	vol	vol	NOUN
ejpam-3250	222	25	.	.	PUNCT
ejpam-3250	222	26	31(3	31(3	NUM
ejpam-3250	222	27	)	)	PUNCT
ejpam-3250	222	28	,	,	PUNCT
ejpam-3250	222	29	pp.262	pp.262	X
ejpam-3250	222	30	,	,	PUNCT
ejpam-3250	222	31	1995	1995	NUM
ejpam-3250	222	32	.	.	PUNCT
ejpam-3250	223	1	[	[	X
ejpam-3250	223	2	7	7	X
ejpam-3250	223	3	]	]	X
ejpam-3250	223	4	j	j	PROPN
ejpam-3250	223	5	he	he	PRON
ejpam-3250	223	6	,	,	PUNCT
ejpam-3250	223	7	and	and	CCONJ
ejpam-3250	223	8	e	e	PROPN
ejpam-3250	223	9	dawson	dawson	PROPN
ejpam-3250	223	10	,	,	PUNCT
ejpam-3250	223	11	”	"	PUNCT
ejpam-3250	223	12	multistage	multistage	NOUN
ejpam-3250	223	13	secret	secret	ADJ
ejpam-3250	223	14	sharing	sharing	NOUN
ejpam-3250	223	15	based	base	VERB
ejpam-3250	223	16	on	on	ADP
ejpam-3250	223	17	one	one	NUM
ejpam-3250	223	18	-	-	PUNCT
ejpam-3250	223	19	way	way	NOUN
ejpam-3250	223	20	function	function	NOUN
ejpam-3250	223	21	”	"	PUNCT
ejpam-3250	223	22	,	,	PUNCT
ejpam-3250	223	23	electronic	electronic	ADJ
ejpam-3250	223	24	letters	letter	NOUN
ejpam-3250	223	25	,	,	PUNCT
ejpam-3250	223	26	vol	vol	NOUN
ejpam-3250	223	27	.	.	PROPN
ejpam-3250	223	28	30	30	NUM
ejpam-3250	223	29	(	(	PUNCT
ejpam-3250	223	30	19	19	NUM
ejpam-3250	223	31	)	)	PUNCT
ejpam-3250	223	32	,	,	PUNCT
ejpam-3250	223	33	pp.1591	pp.1591	PROPN
ejpam-3250	223	34	-	-	SYM
ejpam-3250	223	35	1592	1592	NUM
ejpam-3250	223	36	,	,	PUNCT
ejpam-3250	223	37	1994	1994	NUM
ejpam-3250	223	38	.	.	PUNCT
ejpam-3250	224	1	[	[	X
ejpam-3250	224	2	8	8	NUM
ejpam-3250	224	3	]	]	X
ejpam-3250	224	4	e	e	PROPN
ejpam-3250	224	5	d	d	PROPN
ejpam-3250	224	6	karnin	karnin	PROPN
ejpam-3250	224	7	,	,	PUNCT
ejpam-3250	224	8	j	j	PROPN
ejpam-3250	224	9	w	w	PROPN
ejpam-3250	224	10	greene	greene	PROPN
ejpam-3250	224	11	,	,	PUNCT
ejpam-3250	224	12	and	and	CCONJ
ejpam-3250	224	13	m	m	PROPN
ejpam-3250	224	14	e	e	NOUN
ejpam-3250	224	15	hellman	hellman	NOUN
ejpam-3250	224	16	,	,	PUNCT
ejpam-3250	224	17	”	"	PUNCT
ejpam-3250	224	18	on	on	ADP
ejpam-3250	224	19	secret	secret	ADJ
ejpam-3250	224	20	sharing	sharing	NOUN
ejpam-3250	224	21	systems	system	NOUN
ejpam-3250	224	22	”	"	PUNCT
ejpam-3250	224	23	,	,	PUNCT
ejpam-3250	224	24	ieee	ieee	PROPN
ejpam-3250	224	25	trans	trans	PROPN
ejpam-3250	224	26	.	.	PROPN
ejpam-3250	224	27	inf	inf	PROPN
ejpam-3250	224	28	.	.	PUNCT
ejpam-3250	224	29	theory	theory	NOUN
ejpam-3250	224	30	,	,	PUNCT
ejpam-3250	224	31	vol.it-29	vol.it-29	PRON
ejpam-3250	224	32	,	,	PUNCT
ejpam-3250	224	33	no	no	INTJ
ejpam-3250	224	34	.	.	NOUN
ejpam-3250	224	35	1	1	NUM
ejpam-3250	224	36	,	,	PUNCT
ejpam-3250	224	37	pp.35	pp.35	NOUN
ejpam-3250	224	38	-	-	PUNCT
ejpam-3250	224	39	41	41	NUM
ejpam-3250	224	40	,	,	PUNCT
ejpam-3250	224	41	jan	jan	PROPN
ejpam-3250	224	42	.	.	PROPN
ejpam-3250	224	43	1983	1983	NUM
ejpam-3250	224	44	.	.	PUNCT
ejpam-3250	225	1	references	reference	NOUN
ejpam-3250	225	2	475	475	NUM
ejpam-3250	225	3	[	[	X
ejpam-3250	225	4	9	9	NUM
ejpam-3250	225	5	]	]	SYM
ejpam-3250	225	6	h	h	NOUN
ejpam-3250	225	7	-x	-x	PROPN
ejpam-3250	225	8	li	li	PROPN
ejpam-3250	225	9	,	,	PUNCT
ejpam-3250	225	10	c	c	PROPN
ejpam-3250	225	11	-t	-t	PUNCT
ejpam-3250	225	12	cheng	cheng	PROPN
ejpam-3250	225	13	,	,	PUNCT
ejpam-3250	225	14	and	and	CCONJ
ejpam-3250	225	15	l	l	NOUN
ejpam-3250	225	16	-j	-j	PUNCT
ejpam-3250	225	17	pong	pong	ADJ
ejpam-3250	225	18	,	,	PUNCT
ejpam-3250	225	19	”	"	PUNCT
ejpam-3250	225	20	a	a	DET
ejpam-3250	225	21	new	new	ADJ
ejpam-3250	225	22	(	(	PUNCT
ejpam-3250	225	23	t	t	PROPN
ejpam-3250	225	24	,	,	PUNCT
ejpam-3250	225	25	n	n	CCONJ
ejpam-3250	225	26	)	)	PUNCT
ejpam-3250	225	27	multi	multi	ADJ
ejpam-3250	225	28	-	-	ADJ
ejpam-3250	225	29	secret	secret	ADJ
ejpam-3250	225	30	sharing	sharing	NOUN
ejpam-3250	225	31	scheme	scheme	NOUN
ejpam-3250	225	32	”	"	PUNCT
ejpam-3250	225	33	,	,	PUNCT
ejpam-3250	225	34	cis	cis	NOUN
ejpam-3250	225	35	2005	2005	NUM
ejpam-3250	225	36	,	,	PUNCT
ejpam-3250	225	37	vol	vol	NOUN
ejpam-3250	225	38	.	.	PROPN
ejpam-3250	225	39	3802	3802	NUM
ejpam-3250	225	40	,	,	PUNCT
ejpam-3250	225	41	pp	pp	ADJ
ejpam-3250	225	42	.	.	PUNCT
ejpam-3250	226	1	421	421	NUM
ejpam-3250	226	2	-	-	SYM
ejpam-3250	226	3	426	426	NUM
ejpam-3250	226	4	,	,	PUNCT
ejpam-3250	226	5	2005	2005	NUM
ejpam-3250	226	6	.	.	PUNCT
ejpam-3250	227	1	[	[	X
ejpam-3250	227	2	10	10	NUM
ejpam-3250	227	3	]	]	X
ejpam-3250	227	4	j	j	PROPN
ejpam-3250	227	5	l	l	PROPN
ejpam-3250	227	6	massey	massey	PROPN
ejpam-3250	227	7	,	,	PUNCT
ejpam-3250	227	8	”	"	PUNCT
ejpam-3250	227	9	minimal	minimal	ADJ
ejpam-3250	227	10	codewords	codeword	NOUN
ejpam-3250	227	11	and	and	CCONJ
ejpam-3250	227	12	secret	secret	ADJ
ejpam-3250	227	13	sharing	sharing	NOUN
ejpam-3250	227	14	”	"	PUNCT
ejpam-3250	227	15	,	,	PUNCT
ejpam-3250	227	16	in	in	ADP
ejpam-3250	227	17	proc	proc	NOUN
ejpam-3250	227	18	.	.	PUNCT
ejpam-3250	228	1	6th	6th	ADJ
ejpam-3250	228	2	joint	joint	ADJ
ejpam-3250	228	3	swedishrussian	swedishrussian	ADJ
ejpam-3250	228	4	workshop	workshop	NOUN
ejpam-3250	228	5	on	on	ADP
ejpam-3250	228	6	information	information	NOUN
ejpam-3250	228	7	theory	theory	NOUN
ejpam-3250	228	8	,	,	PUNCT
ejpam-3250	228	9	mölle	mölle	PROPN
ejpam-3250	228	10	sweden	sweden	ADJ
ejpam-3250	228	11	,	,	PUNCT
ejpam-3250	228	12	pp	pp	ADV
ejpam-3250	228	13	.	.	PUNCT
ejpam-3250	229	1	276	276	NUM
ejpam-3250	229	2	-	-	SYM
ejpam-3250	229	3	279	279	NUM
ejpam-3250	229	4	,	,	PUNCT
ejpam-3250	229	5	august	august	PROPN
ejpam-3250	229	6	1993	1993	NUM
ejpam-3250	229	7	.	.	PUNCT
ejpam-3250	230	1	[	[	X
ejpam-3250	230	2	11	11	NUM
ejpam-3250	230	3	]	]	SYM
ejpam-3250	230	4	j	j	PROPN
ejpam-3250	230	5	l	l	PROPN
ejpam-3250	230	6	massey	massey	PROPN
ejpam-3250	230	7	,	,	PUNCT
ejpam-3250	230	8	”	"	PUNCT
ejpam-3250	230	9	some	some	DET
ejpam-3250	230	10	applications	application	NOUN
ejpam-3250	230	11	of	of	ADP
ejpam-3250	230	12	coding	code	VERB
ejpam-3250	230	13	theory	theory	NOUN
ejpam-3250	230	14	”	"	PUNCT
ejpam-3250	230	15	,	,	PUNCT
ejpam-3250	230	16	cryptography	cryptography	NOUN
ejpam-3250	230	17	,	,	PUNCT
ejpam-3250	230	18	codes	code	NOUN
ejpam-3250	230	19	and	and	CCONJ
ejpam-3250	230	20	ciphers	cipher	NOUN
ejpam-3250	230	21	:	:	PUNCT
ejpam-3250	230	22	cryptography	cryptography	NOUN
ejpam-3250	230	23	and	and	CCONJ
ejpam-3250	230	24	coding	code	VERB
ejpam-3250	230	25	iv	iv	NUM
ejpam-3250	230	26	,	,	PUNCT
ejpam-3250	230	27	pp	pp	ADJ
ejpam-3250	230	28	.	.	PUNCT
ejpam-3250	231	1	33	33	NUM
ejpam-3250	231	2	-	-	SYM
ejpam-3250	231	3	47	47	NUM
ejpam-3250	231	4	,	,	PUNCT
ejpam-3250	231	5	1995	1995	NUM
ejpam-3250	231	6	.	.	PUNCT
ejpam-3250	232	1	[	[	X
ejpam-3250	232	2	12	12	NUM
ejpam-3250	232	3	]	]	X
ejpam-3250	232	4	f	f	PROPN
ejpam-3250	232	5	molla	molla	PROPN
ejpam-3250	232	6	,	,	PUNCT
ejpam-3250	232	7	”	"	PUNCT
ejpam-3250	232	8	a	a	DET
ejpam-3250	232	9	study	study	NOUN
ejpam-3250	232	10	on	on	ADP
ejpam-3250	232	11	the	the	DET
ejpam-3250	232	12	secret	secret	ADJ
ejpam-3250	232	13	image	image	NOUN
ejpam-3250	232	14	sharing	sharing	NOUN
ejpam-3250	232	15	schemes	scheme	NOUN
ejpam-3250	232	16	”	"	PUNCT
ejpam-3250	232	17	,	,	PUNCT
ejpam-3250	232	18	master	master	NOUN
ejpam-3250	232	19	thesis	thesis	NOUN
ejpam-3250	232	20	,	,	PUNCT
ejpam-3250	232	21	kocaeli	kocaeli	PROPN
ejpam-3250	232	22	university	university	PROPN
ejpam-3250	232	23	,	,	PUNCT
ejpam-3250	232	24	kocaeli	kocaeli	VERB
ejpam-3250	232	25	,	,	PUNCT
ejpam-3250	232	26	2018	2018	NUM
ejpam-3250	232	27	.	.	PUNCT
ejpam-3250	233	1	[	[	X
ejpam-3250	233	2	13	13	NUM
ejpam-3250	233	3	]	]	X
ejpam-3250	233	4	k	k	PROPN
ejpam-3250	233	5	okada	okada	PROPN
ejpam-3250	233	6	,	,	PUNCT
ejpam-3250	233	7	and	and	CCONJ
ejpam-3250	233	8	k	k	PROPN
ejpam-3250	233	9	kurosawa	kurosawa	PROPN
ejpam-3250	233	10	,	,	PUNCT
ejpam-3250	233	11	”	"	PUNCT
ejpam-3250	233	12	mds	mds	NOUN
ejpam-3250	233	13	secret	secret	ADJ
ejpam-3250	233	14	-	-	PUNCT
ejpam-3250	233	15	sharing	share	VERB
ejpam-3250	233	16	scheme	scheme	NOUN
ejpam-3250	233	17	secure	secure	NOUN
ejpam-3250	233	18	against	against	ADP
ejpam-3250	233	19	cheaters	cheater	NOUN
ejpam-3250	233	20	”	"	PUNCT
ejpam-3250	233	21	,	,	PUNCT
ejpam-3250	233	22	ieee	ieee	PROPN
ejpam-3250	233	23	trans	trans	PROPN
ejpam-3250	233	24	.	.	PROPN
ejpam-3250	233	25	inf	inf	PROPN
ejpam-3250	233	26	.	.	PUNCT
ejpam-3250	234	1	theory	theory	NOUN
ejpam-3250	234	2	,	,	PUNCT
ejpam-3250	234	3	vol	vol	NOUN
ejpam-3250	234	4	.	.	PROPN
ejpam-3250	234	5	46	46	NUM
ejpam-3250	234	6	,	,	PUNCT
ejpam-3250	234	7	no	no	INTJ
ejpam-3250	234	8	.	.	NOUN
ejpam-3250	234	9	3	3	NUM
ejpam-3250	234	10	,	,	PUNCT
ejpam-3250	234	11	pp	pp	ADJ
ejpam-3250	234	12	.	.	PUNCT
ejpam-3250	235	1	1078	1078	NUM
ejpam-3250	235	2	-	-	SYM
ejpam-3250	235	3	1081	1081	NUM
ejpam-3250	235	4	,	,	PUNCT
ejpam-3250	235	5	may	may	AUX
ejpam-3250	235	6	2000	2000	NUM
ejpam-3250	235	7	.	.	PUNCT
ejpam-3250	236	1	[	[	X
ejpam-3250	236	2	14	14	NUM
ejpam-3250	236	3	]	]	X
ejpam-3250	236	4	h	h	NOUN
ejpam-3250	236	5	özadam	özadam	PROPN
ejpam-3250	236	6	,	,	PUNCT
ejpam-3250	236	7	f	f	PROPN
ejpam-3250	236	8	özbudak	özbudak	PROPN
ejpam-3250	236	9	,	,	PUNCT
ejpam-3250	236	10	and	and	CCONJ
ejpam-3250	236	11	z	z	NOUN
ejpam-3250	236	12	saygı	saygı	NOUN
ejpam-3250	236	13	,	,	PUNCT
ejpam-3250	236	14	”	"	PUNCT
ejpam-3250	236	15	secret	secret	ADJ
ejpam-3250	236	16	sharing	sharing	NOUN
ejpam-3250	236	17	schemes	scheme	NOUN
ejpam-3250	236	18	and	and	CCONJ
ejpam-3250	236	19	linear	linear	ADJ
ejpam-3250	236	20	codes	code	NOUN
ejpam-3250	236	21	.	.	PUNCT
ejpam-3250	236	22	”	"	PUNCT
ejpam-3250	236	23	,	,	PUNCT
ejpam-3250	236	24	information	information	NOUN
ejpam-3250	236	25	security	security	NOUN
ejpam-3250	236	26	cryptology	cryptology	NOUN
ejpam-3250	236	27	conference	conference	NOUN
ejpam-3250	236	28	with	with	ADP
ejpam-3250	236	29	international	international	ADJ
ejpam-3250	236	30	participation	participation	NOUN
ejpam-3250	236	31	,	,	PUNCT
ejpam-3250	236	32	proceedings	proceeding	NOUN
ejpam-3250	236	33	,	,	PUNCT
ejpam-3250	236	34	pp	pp	ADP
ejpam-3250	236	35	.	.	PUNCT
ejpam-3250	237	1	101	101	NUM
ejpam-3250	237	2	-	-	SYM
ejpam-3250	237	3	106	106	NUM
ejpam-3250	237	4	,	,	PUNCT
ejpam-3250	237	5	2007	2007	NUM
ejpam-3250	237	6	.	.	PUNCT
ejpam-3250	238	1	[	[	X
ejpam-3250	238	2	15	15	NUM
ejpam-3250	238	3	]	]	X
ejpam-3250	238	4	j	j	PROPN
ejpam-3250	238	5	pieprzyk	pieprzyk	VERB
ejpam-3250	238	6	,	,	PUNCT
ejpam-3250	238	7	and	and	CCONJ
ejpam-3250	238	8	x	x	SYM
ejpam-3250	238	9	m	m	PROPN
ejpam-3250	238	10	zhang	zhang	PROPN
ejpam-3250	238	11	,	,	PUNCT
ejpam-3250	238	12	”	"	PUNCT
ejpam-3250	238	13	ideal	ideal	ADJ
ejpam-3250	238	14	threshold	threshold	NOUN
ejpam-3250	238	15	schemes	scheme	NOUN
ejpam-3250	238	16	from	from	ADP
ejpam-3250	238	17	mds	mds	PROPN
ejpam-3250	238	18	codes	code	NOUN
ejpam-3250	238	19	”	"	PUNCT
ejpam-3250	238	20	in	in	ADP
ejpam-3250	238	21	information	information	NOUN
ejpam-3250	238	22	security	security	NOUN
ejpam-3250	238	23	and	and	CCONJ
ejpam-3250	238	24	cryptology	cryptology	NOUN
ejpam-3250	238	25	proc	proc	NOUN
ejpam-3250	238	26	.	.	PUNCT
ejpam-3250	239	1	of	of	ADP
ejpam-3250	239	2	icisc	icisc	PROPN
ejpam-3250	239	3	2002	2002	NUM
ejpam-3250	239	4	(	(	PUNCT
ejpam-3250	239	5	lecture	lecture	NOUN
ejpam-3250	239	6	notes	note	NOUN
ejpam-3250	239	7	in	in	ADP
ejpam-3250	239	8	computer	computer	NOUN
ejpam-3250	239	9	science	science	NOUN
ejpam-3250	239	10	)	)	PUNCT
ejpam-3250	239	11	,	,	PUNCT
ejpam-3250	239	12	berlin	berlin	PROPN
ejpam-3250	239	13	,	,	PUNCT
ejpam-3250	239	14	germany	germany	PROPN
ejpam-3250	239	15	:	:	PUNCT
ejpam-3250	239	16	springer	springer	NOUN
ejpam-3250	239	17	-	-	PUNCT
ejpam-3250	239	18	verlag	verlag	PROPN
ejpam-3250	239	19	,	,	PUNCT
ejpam-3250	239	20	vol	vol	NOUN
ejpam-3250	239	21	.	.	PROPN
ejpam-3250	239	22	2587	2587	NUM
ejpam-3250	239	23	,	,	PUNCT
ejpam-3250	239	24	pp	pp	ADP
ejpam-3250	239	25	.	.	PUNCT
ejpam-3250	240	1	269	269	NUM
ejpam-3250	240	2	-	-	SYM
ejpam-3250	240	3	279	279	NUM
ejpam-3250	240	4	,	,	PUNCT
ejpam-3250	240	5	2003	2003	NUM
ejpam-3250	240	6	.	.	PUNCT
ejpam-3250	241	1	[	[	X
ejpam-3250	241	2	16	16	NUM
ejpam-3250	241	3	]	]	X
ejpam-3250	241	4	l	l	NOUN
ejpam-3250	241	5	-j	-j	PUNCT
ejpam-3250	241	6	pong	pong	NOUN
ejpam-3250	241	7	,	,	PUNCT
ejpam-3250	241	8	and	and	CCONJ
ejpam-3250	241	9	y	y	PROPN
ejpam-3250	241	10	-m	-m	PROPN
ejpam-3250	241	11	wang	wang	PROPN
ejpam-3250	241	12	,	,	PUNCT
ejpam-3250	241	13	”	"	PUNCT
ejpam-3250	241	14	a	a	DET
ejpam-3250	241	15	new	new	ADJ
ejpam-3250	241	16	(	(	PUNCT
ejpam-3250	241	17	t	t	PROPN
ejpam-3250	241	18	,	,	PUNCT
ejpam-3250	241	19	n	n	CCONJ
ejpam-3250	241	20	)	)	PUNCT
ejpam-3250	241	21	multi	multi	ADJ
ejpam-3250	241	22	-	-	ADJ
ejpam-3250	241	23	secret	secret	ADJ
ejpam-3250	241	24	sharing	sharing	NOUN
ejpam-3250	241	25	scheme	scheme	NOUN
ejpam-3250	241	26	based	base	VERB
ejpam-3250	241	27	on	on	ADP
ejpam-3250	241	28	shamir	shamir	PROPN
ejpam-3250	241	29	’s	’s	PART
ejpam-3250	241	30	secret	secret	ADJ
ejpam-3250	241	31	sharing	sharing	NOUN
ejpam-3250	241	32	”	"	PUNCT
ejpam-3250	241	33	,	,	PUNCT
ejpam-3250	241	34	applied	apply	VERB
ejpam-3250	241	35	math	math	NOUN
ejpam-3250	241	36	,	,	PUNCT
ejpam-3250	241	37	vol	vol	NOUN
ejpam-3250	241	38	.	.	PROPN
ejpam-3250	242	1	167	167	NUM
ejpam-3250	242	2	,	,	PUNCT
ejpam-3250	242	3	pp	pp	ADJ
ejpam-3250	242	4	.	.	PUNCT
ejpam-3250	243	1	840	840	NUM
ejpam-3250	243	2	-	-	SYM
ejpam-3250	243	3	848	848	NUM
ejpam-3250	243	4	,	,	PUNCT
ejpam-3250	243	5	2005	2005	NUM
ejpam-3250	243	6	.	.	PUNCT
ejpam-3250	244	1	[	[	X
ejpam-3250	244	2	17	17	NUM
ejpam-3250	244	3	]	]	PUNCT
ejpam-3250	244	4	a	a	DET
ejpam-3250	244	5	shamir	shamir	NOUN
ejpam-3250	244	6	,	,	PUNCT
ejpam-3250	244	7	”	"	PUNCT
ejpam-3250	244	8	how	how	SCONJ
ejpam-3250	244	9	to	to	PART
ejpam-3250	244	10	share	share	VERB
ejpam-3250	244	11	a	a	DET
ejpam-3250	244	12	secret	secret	NOUN
ejpam-3250	244	13	”	"	PUNCT
ejpam-3250	244	14	,	,	PUNCT
ejpam-3250	244	15	commun	commun	PROPN
ejpam-3250	244	16	.	.	PUNCT
ejpam-3250	244	17	acm	acm	PROPN
ejpam-3250	244	18	,	,	PUNCT
ejpam-3250	244	19	vol	vol	NOUN
ejpam-3250	244	20	.	.	PROPN
ejpam-3250	244	21	22	22	NUM
ejpam-3250	244	22	,	,	PUNCT
ejpam-3250	244	23	no	no	INTJ
ejpam-3250	244	24	.	.	NOUN
ejpam-3250	244	25	11	11	NUM
ejpam-3250	244	26	,	,	PUNCT
ejpam-3250	244	27	pp.612	pp.612	PROPN
ejpam-3250	244	28	-	-	PUNCT
ejpam-3250	244	29	613	613	NUM
ejpam-3250	244	30	,	,	PUNCT
ejpam-3250	244	31	nov	nov	PROPN
ejpam-3250	244	32	.	.	PROPN
ejpam-3250	244	33	1979	1979	NUM
ejpam-3250	244	34	.	.	PUNCT
ejpam-3250	245	1	[	[	X
ejpam-3250	245	2	18	18	NUM
ejpam-3250	245	3	]	]	PUNCT
ejpam-3250	245	4	a	a	DET
ejpam-3250	245	5	tompa	tompa	NOUN
ejpam-3250	245	6	,	,	PUNCT
ejpam-3250	245	7	and	and	CCONJ
ejpam-3250	245	8	h	h	NOUN
ejpam-3250	245	9	woll	woll	NOUN
ejpam-3250	245	10	,	,	PUNCT
ejpam-3250	245	11	”	"	PUNCT
ejpam-3250	245	12	how	how	SCONJ
ejpam-3250	245	13	to	to	PART
ejpam-3250	245	14	share	share	VERB
ejpam-3250	245	15	a	a	DET
ejpam-3250	245	16	secret	secret	NOUN
ejpam-3250	245	17	with	with	ADP
ejpam-3250	245	18	cheaters	cheater	NOUN
ejpam-3250	245	19	”	"	PUNCT
ejpam-3250	245	20	,	,	PUNCT
ejpam-3250	245	21	in	in	ADP
ejpam-3250	245	22	proceedings	proceeding	NOUN
ejpam-3250	245	23	on	on	ADP
ejpam-3250	245	24	advances	advance	NOUN
ejpam-3250	245	25	in	in	ADP
ejpam-3250	245	26	cryptology	cryptology	NOUN
ejpam-3250	245	27	crypto	crypto	NOUN
ejpam-3250	245	28	’	'	PUNCT
ejpam-3250	245	29	86	86	NUM
ejpam-3250	245	30	.	.	PUNCT
ejpam-3250	246	1	london	london	PROPN
ejpam-3250	246	2	,	,	PUNCT
ejpam-3250	246	3	uk	uk	PROPN
ejpam-3250	246	4	,	,	PUNCT
ejpam-3250	246	5	uk	uk	PROPN
ejpam-3250	246	6	:	:	PUNCT
ejpam-3250	246	7	springer	springer	NOUN
ejpam-3250	246	8	-	-	PUNCT
ejpam-3250	246	9	verlag	verlag	PROPN
ejpam-3250	246	10	,	,	PUNCT
ejpam-3250	246	11	pp	pp	ADJ
ejpam-3250	246	12	.	.	PUNCT
ejpam-3250	246	13	261265	261265	NUM
ejpam-3250	246	14	,	,	PUNCT
ejpam-3250	246	15	1987	1987	NUM
ejpam-3250	246	16	.	.	PUNCT
ejpam-3250	247	1	[	[	X
ejpam-3250	247	2	19	19	NUM
ejpam-3250	247	3	]	]	SYM
ejpam-3250	247	4	c	c	PROPN
ejpam-3250	247	5	-c	-c	SYM
ejpam-3250	247	6	yang	yang	PROPN
ejpam-3250	247	7	,	,	PUNCT
ejpam-3250	247	8	t	t	PROPN
ejpam-3250	247	9	-y	-y	PROPN
ejpam-3250	247	10	chang	chang	PROPN
ejpam-3250	247	11	,	,	PUNCT
ejpam-3250	247	12	m	m	VERB
ejpam-3250	247	13	-s	-s	PROPN
ejpam-3250	247	14	hwang	hwang	PROPN
ejpam-3250	247	15	,	,	PUNCT
ejpam-3250	247	16	”	"	PUNCT
ejpam-3250	247	17	a	a	DET
ejpam-3250	247	18	(	(	PUNCT
ejpam-3250	247	19	t	t	PROPN
ejpam-3250	247	20	,	,	PUNCT
ejpam-3250	247	21	n	n	CCONJ
ejpam-3250	247	22	)	)	PUNCT
ejpam-3250	247	23	multisecret	multisecret	ADJ
ejpam-3250	247	24	sharing	sharing	NOUN
ejpam-3250	247	25	scheme	scheme	NOUN
ejpam-3250	247	26	”	"	PUNCT
ejpam-3250	247	27	,	,	PUNCT
ejpam-3250	247	28	applied	apply	VERB
ejpam-3250	247	29	mathematics	mathematic	NOUN
ejpam-3250	247	30	and	and	CCONJ
ejpam-3250	247	31	computation	computation	NOUN
ejpam-3250	247	32	,	,	PUNCT
ejpam-3250	247	33	vol	vol	NOUN
ejpam-3250	247	34	.	.	PROPN
ejpam-3250	247	35	151	151	NUM
ejpam-3250	247	36	,	,	PUNCT
ejpam-3250	247	37	pp	pp	ADJ
ejpam-3250	247	38	.	.	PUNCT
ejpam-3250	247	39	483	483	NUM
ejpam-3250	247	40	-	-	SYM
ejpam-3250	247	41	490	490	NUM
ejpam-3250	247	42	,	,	PUNCT
ejpam-3250	247	43	2004	2004	NUM
ejpam-3250	247	44	.	.	PUNCT
ejpam-3250	248	1	[	[	X
ejpam-3250	248	2	20	20	NUM
ejpam-3250	248	3	]	]	PUNCT
ejpam-3250	248	4	j	j	PROPN
ejpam-3250	248	5	yuan	yuan	PROPN
ejpam-3250	248	6	,	,	PUNCT
ejpam-3250	248	7	and	and	CCONJ
ejpam-3250	248	8	c	c	X
ejpam-3250	248	9	ding	ding	NOUN
ejpam-3250	248	10	,	,	PUNCT
ejpam-3250	248	11	”	"	PUNCT
ejpam-3250	248	12	secret	secret	ADJ
ejpam-3250	248	13	sharing	sharing	NOUN
ejpam-3250	248	14	schemes	scheme	NOUN
ejpam-3250	248	15	from	from	ADP
ejpam-3250	248	16	three	three	NUM
ejpam-3250	248	17	classes	class	NOUN
ejpam-3250	248	18	of	of	ADP
ejpam-3250	248	19	linear	linear	PROPN
ejpam-3250	248	20	codes	code	NOUN
ejpam-3250	248	21	”	"	PUNCT
ejpam-3250	248	22	,	,	PUNCT
ejpam-3250	248	23	ieee	ieee	PROPN
ejpam-3250	248	24	trans	trans	PROPN
ejpam-3250	248	25	.	.	PUNCT
ejpam-3250	249	1	on	on	ADP
ejpam-3250	249	2	inf	inf	PROPN
ejpam-3250	249	3	.	.	PROPN
ejpam-3250	249	4	theory	theory	PROPN
ejpam-3250	249	5	52(1	52(1	NOUN
ejpam-3250	249	6	):	):	PUNCT
ejpam-3250	249	7	206	206	NUM
ejpam-3250	249	8	-	-	SYM
ejpam-3250	249	9	212	212	NUM
ejpam-3250	249	10	,	,	PUNCT
ejpam-3250	249	11	jan	jan	PROPN
ejpam-3250	249	12	.	.	PROPN
ejpam-3250	249	13	2006	2006	NUM
ejpam-3250	249	14	.	.	PUNCT