id	sid	tid	token	lemma	pos
ejpam-5262	1	1	european	european	PROPN
ejpam-5262	1	2	journal	journal	PROPN
ejpam-5262	1	3	of	of	ADP
ejpam-5262	1	4	pure	pure	ADJ
ejpam-5262	1	5	and	and	CCONJ
ejpam-5262	1	6	applied	apply	VERB
ejpam-5262	1	7	mathematics	mathematic	NOUN
ejpam-5262	1	8	vol	vol	NOUN
ejpam-5262	1	9	.	.	PROPN
ejpam-5262	2	1	17	17	NUM
ejpam-5262	2	2	,	,	PUNCT
ejpam-5262	2	3	no	no	INTJ
ejpam-5262	2	4	.	.	NOUN
ejpam-5262	2	5	3	3	NUM
ejpam-5262	2	6	,	,	PUNCT
ejpam-5262	2	7	2024	2024	NUM
ejpam-5262	2	8	,	,	PUNCT
ejpam-5262	2	9	1751	1751	NUM
ejpam-5262	2	10	-	-	SYM
ejpam-5262	2	11	1761	1761	NUM
ejpam-5262	2	12	issn	issn	PROPN
ejpam-5262	2	13	1307	1307	NUM
ejpam-5262	2	14	-	-	SYM
ejpam-5262	2	15	5543	5543	NUM
ejpam-5262	2	16	–	–	PUNCT
ejpam-5262	2	17	ejpam.com	ejpam.com	X
ejpam-5262	2	18	published	publish	VERB
ejpam-5262	2	19	by	by	ADP
ejpam-5262	2	20	new	new	PROPN
ejpam-5262	2	21	york	york	PROPN
ejpam-5262	2	22	business	business	PROPN
ejpam-5262	2	23	global	global	ADJ
ejpam-5262	2	24	threshold	threshold	PROPN
ejpam-5262	2	25	changeable	changeable	ADJ
ejpam-5262	2	26	secret	secret	ADJ
ejpam-5262	2	27	sharing	sharing	NOUN
ejpam-5262	2	28	(	(	PUNCT
ejpam-5262	2	29	tcss	tcss	ADJ
ejpam-5262	2	30	)	)	PUNCT
ejpam-5262	2	31	via	via	ADP
ejpam-5262	2	32	skew	skew	ADJ
ejpam-5262	2	33	polynomials	polynomial	NOUN
ejpam-5262	2	34	angga	angga	ADJ
ejpam-5262	2	35	wijaya1,3,∗	wijaya1,3,∗	PROPN
ejpam-5262	2	36	,	,	PUNCT
ejpam-5262	2	37	intan	intan	PROPN
ejpam-5262	2	38	muchtadi	muchtadi	PROPN
ejpam-5262	2	39	alamsyah2	alamsyah2	PROPN
ejpam-5262	2	40	,	,	PUNCT
ejpam-5262	2	41	aleams	aleam	NOUN
ejpam-5262	2	42	barra2	barra2	VERB
ejpam-5262	2	43	1	1	NUM
ejpam-5262	2	44	doctoral	doctoral	ADJ
ejpam-5262	2	45	program	program	NOUN
ejpam-5262	2	46	of	of	ADP
ejpam-5262	2	47	mathematics	mathematic	NOUN
ejpam-5262	2	48	,	,	PUNCT
ejpam-5262	2	49	faculty	faculty	NOUN
ejpam-5262	2	50	mathematics	mathematic	NOUN
ejpam-5262	2	51	and	and	CCONJ
ejpam-5262	2	52	natural	natural	ADJ
ejpam-5262	2	53	sciences	science	NOUN
ejpam-5262	2	54	,	,	PUNCT
ejpam-5262	2	55	institut	institut	PROPN
ejpam-5262	2	56	teknologi	teknologi	PROPN
ejpam-5262	2	57	bandung	bandung	PROPN
ejpam-5262	2	58	,	,	PUNCT
ejpam-5262	2	59	jl	jl	PROPN
ejpam-5262	2	60	.	.	PUNCT
ejpam-5262	3	1	ganesha	ganesha	PROPN
ejpam-5262	3	2	no	no	PROPN
ejpam-5262	3	3	.	.	PROPN
ejpam-5262	3	4	10	10	NUM
ejpam-5262	3	5	,	,	PUNCT
ejpam-5262	3	6	40132	40132	NUM
ejpam-5262	3	7	bandung	bandung	NOUN
ejpam-5262	3	8	,	,	PUNCT
ejpam-5262	3	9	indonesia	indonesia	PROPN
ejpam-5262	3	10	2	2	NUM
ejpam-5262	3	11	algebra	algebra	PROPN
ejpam-5262	3	12	research	research	NOUN
ejpam-5262	3	13	group	group	NOUN
ejpam-5262	3	14	,	,	PUNCT
ejpam-5262	3	15	faculty	faculty	NOUN
ejpam-5262	3	16	of	of	ADP
ejpam-5262	3	17	mathematics	mathematic	NOUN
ejpam-5262	3	18	and	and	CCONJ
ejpam-5262	3	19	natural	natural	ADJ
ejpam-5262	3	20	sciences	science	NOUN
ejpam-5262	3	21	,	,	PUNCT
ejpam-5262	3	22	institut	institut	PROPN
ejpam-5262	3	23	teknologi	teknologi	PROPN
ejpam-5262	3	24	bandung	bandung	PROPN
ejpam-5262	3	25	,	,	PUNCT
ejpam-5262	3	26	jl	jl	PROPN
ejpam-5262	3	27	.	.	PUNCT
ejpam-5262	4	1	ganesha	ganesha	PROPN
ejpam-5262	4	2	no	no	PROPN
ejpam-5262	4	3	.	.	PROPN
ejpam-5262	4	4	10	10	NUM
ejpam-5262	4	5	,	,	PUNCT
ejpam-5262	4	6	40132	40132	NUM
ejpam-5262	4	7	bandung	bandung	NOUN
ejpam-5262	4	8	,	,	PUNCT
ejpam-5262	4	9	indonesia	indonesia	PROPN
ejpam-5262	4	10	3	3	NUM
ejpam-5262	4	11	department	department	PROPN
ejpam-5262	4	12	of	of	ADP
ejpam-5262	4	13	informatics	informatics	PROPN
ejpam-5262	4	14	engineering	engineering	PROPN
ejpam-5262	4	15	,	,	PUNCT
ejpam-5262	4	16	faculty	faculty	NOUN
ejpam-5262	4	17	of	of	ADP
ejpam-5262	4	18	industrial	industrial	ADJ
ejpam-5262	4	19	technology	technology	NOUN
ejpam-5262	4	20	,	,	PUNCT
ejpam-5262	4	21	institut	institut	PROPN
ejpam-5262	4	22	teknologi	teknologi	PROPN
ejpam-5262	4	23	sumatera	sumatera	PROPN
ejpam-5262	4	24	,	,	PUNCT
ejpam-5262	4	25	jl	jl	PROPN
ejpam-5262	4	26	.	.	PROPN
ejpam-5262	4	27	terusan	terusan	PROPN
ejpam-5262	4	28	ryacudu	ryacudu	NOUN
ejpam-5262	4	29	,	,	PUNCT
ejpam-5262	4	30	36365	36365	NUM
ejpam-5262	4	31	south	south	ADV
ejpam-5262	4	32	of	of	ADP
ejpam-5262	4	33	lampung	lampung	PROPN
ejpam-5262	4	34	,	,	PUNCT
ejpam-5262	4	35	indonesia	indonesia	PROPN
ejpam-5262	4	36	abstract	abstract	NOUN
ejpam-5262	4	37	.	.	PUNCT
ejpam-5262	5	1	secret	secret	ADJ
ejpam-5262	5	2	sharing	sharing	NOUN
ejpam-5262	5	3	is	be	AUX
ejpam-5262	5	4	a	a	DET
ejpam-5262	5	5	tool	tool	NOUN
ejpam-5262	5	6	to	to	PART
ejpam-5262	5	7	divide	divide	VERB
ejpam-5262	5	8	a	a	DET
ejpam-5262	5	9	secret	secret	NOUN
ejpam-5262	5	10	into	into	ADP
ejpam-5262	5	11	multiple	multiple	ADJ
ejpam-5262	5	12	shares	share	NOUN
ejpam-5262	5	13	,	,	PUNCT
ejpam-5262	5	14	so	so	SCONJ
ejpam-5262	5	15	that	that	SCONJ
ejpam-5262	5	16	to	to	PART
ejpam-5262	5	17	reconstruct	reconstruct	VERB
ejpam-5262	5	18	the	the	DET
ejpam-5262	5	19	secret	secret	NOUN
ejpam-5262	5	20	,	,	PUNCT
ejpam-5262	5	21	it	it	PRON
ejpam-5262	5	22	is	be	AUX
ejpam-5262	5	23	necessary	necessary	ADJ
ejpam-5262	5	24	to	to	PART
ejpam-5262	5	25	collect	collect	VERB
ejpam-5262	5	26	several	several	ADJ
ejpam-5262	5	27	shares	share	NOUN
ejpam-5262	5	28	under	under	ADP
ejpam-5262	5	29	certain	certain	ADJ
ejpam-5262	5	30	conditions	condition	NOUN
ejpam-5262	5	31	.	.	PUNCT
ejpam-5262	6	1	secret	secret	ADJ
ejpam-5262	6	2	sharing	sharing	NOUN
ejpam-5262	6	3	was	be	AUX
ejpam-5262	6	4	first	first	ADV
ejpam-5262	6	5	introduced	introduce	VERB
ejpam-5262	6	6	by	by	ADP
ejpam-5262	6	7	adi	adi	PROPN
ejpam-5262	6	8	shamir	shamir	PROPN
ejpam-5262	6	9	,	,	PUNCT
ejpam-5262	6	10	the	the	DET
ejpam-5262	6	11	scheme	scheme	NOUN
ejpam-5262	6	12	is	be	AUX
ejpam-5262	6	13	based	base	VERB
ejpam-5262	6	14	on	on	ADP
ejpam-5262	6	15	polynomials	polynomial	NOUN
ejpam-5262	6	16	.	.	PUNCT
ejpam-5262	7	1	the	the	DET
ejpam-5262	7	2	secret	secret	NOUN
ejpam-5262	7	3	is	be	AUX
ejpam-5262	7	4	represented	represent	VERB
ejpam-5262	7	5	as	as	ADP
ejpam-5262	7	6	a	a	DET
ejpam-5262	7	7	constant	constant	ADJ
ejpam-5262	7	8	value	value	NOUN
ejpam-5262	7	9	polynomial	polynomial	ADJ
ejpam-5262	7	10	,	,	PUNCT
ejpam-5262	7	11	and	and	CCONJ
ejpam-5262	7	12	the	the	DET
ejpam-5262	7	13	points	point	NOUN
ejpam-5262	7	14	on	on	ADP
ejpam-5262	7	15	the	the	DET
ejpam-5262	7	16	polynomial	polynomial	ADJ
ejpam-5262	7	17	graph	graph	NOUN
ejpam-5262	7	18	serve	serve	VERB
ejpam-5262	7	19	as	as	ADP
ejpam-5262	7	20	shares	share	NOUN
ejpam-5262	7	21	.	.	PUNCT
ejpam-5262	8	1	secret	secret	ADJ
ejpam-5262	8	2	reconstruction	reconstruction	NOUN
ejpam-5262	8	3	is	be	AUX
ejpam-5262	8	4	performed	perform	VERB
ejpam-5262	8	5	through	through	ADP
ejpam-5262	8	6	lagrange	lagrange	NOUN
ejpam-5262	8	7	interpolation	interpolation	NOUN
ejpam-5262	8	8	at	at	ADP
ejpam-5262	8	9	a	a	DET
ejpam-5262	8	10	minimum	minimum	NOUN
ejpam-5262	8	11	of	of	ADP
ejpam-5262	8	12	k	k	PROPN
ejpam-5262	8	13	out	out	ADP
ejpam-5262	8	14	of	of	ADP
ejpam-5262	8	15	n	n	PRON
ejpam-5262	8	16	points	point	NOUN
ejpam-5262	8	17	,	,	PUNCT
ejpam-5262	8	18	known	know	VERB
ejpam-5262	8	19	as	as	ADP
ejpam-5262	8	20	a	a	DET
ejpam-5262	8	21	threshold	threshold	NOUN
ejpam-5262	8	22	scheme	scheme	NOUN
ejpam-5262	8	23	(	(	PUNCT
ejpam-5262	8	24	k	k	NOUN
ejpam-5262	8	25	,	,	PUNCT
ejpam-5262	8	26	n	n	CCONJ
ejpam-5262	8	27	)	)	PUNCT
ejpam-5262	8	28	.	.	PUNCT
ejpam-5262	9	1	in	in	ADP
ejpam-5262	9	2	2010	2010	NUM
ejpam-5262	9	3	,	,	PUNCT
ejpam-5262	9	4	zhang	zhang	PROPN
ejpam-5262	9	5	y.	y.	PROPN
ejpam-5262	9	6	designed	design	VERB
ejpam-5262	9	7	a	a	DET
ejpam-5262	9	8	secret	secret	ADJ
ejpam-5262	9	9	sharing	sharing	NOUN
ejpam-5262	9	10	scheme	scheme	NOUN
ejpam-5262	9	11	through	through	ADP
ejpam-5262	9	12	skew	skew	ADJ
ejpam-5262	9	13	polynomials	polynomial	NOUN
ejpam-5262	9	14	.	.	PUNCT
ejpam-5262	10	1	involving	involve	VERB
ejpam-5262	10	2	the	the	DET
ejpam-5262	10	3	role	role	NOUN
ejpam-5262	10	4	of	of	ADP
ejpam-5262	10	5	the	the	DET
ejpam-5262	10	6	automorphism	automorphism	NOUN
ejpam-5262	10	7	σ	σ	NOUN
ejpam-5262	10	8	in	in	ADP
ejpam-5262	10	9	the	the	DET
ejpam-5262	10	10	skew	skew	ADJ
ejpam-5262	10	11	polynomial	polynomial	ADJ
ejpam-5262	10	12	ring	ring	NOUN
ejpam-5262	10	13	increase	increase	VERB
ejpam-5262	10	14	the	the	DET
ejpam-5262	10	15	complexity	complexity	NOUN
ejpam-5262	10	16	in	in	ADP
ejpam-5262	10	17	share	share	NOUN
ejpam-5262	10	18	distribution	distribution	NOUN
ejpam-5262	10	19	and	and	CCONJ
ejpam-5262	10	20	secret	secret	ADJ
ejpam-5262	10	21	reconstruction	reconstruction	NOUN
ejpam-5262	10	22	.	.	PUNCT
ejpam-5262	11	1	in	in	ADP
ejpam-5262	11	2	2012	2012	NUM
ejpam-5262	11	3	,	,	PUNCT
ejpam-5262	11	4	zhang	zhang	PROPN
ejpam-5262	11	5	z.	z.	PROPN
ejpam-5262	11	6	designed	design	VERB
ejpam-5262	11	7	a	a	DET
ejpam-5262	11	8	secret	secret	ADJ
ejpam-5262	11	9	sharing	sharing	NOUN
ejpam-5262	11	10	scheme	scheme	NOUN
ejpam-5262	11	11	with	with	ADP
ejpam-5262	11	12	a	a	DET
ejpam-5262	11	13	threshold	threshold	NOUN
ejpam-5262	11	14	that	that	PRON
ejpam-5262	11	15	can	can	AUX
ejpam-5262	11	16	change	change	VERB
ejpam-5262	11	17	according	accord	VERB
ejpam-5262	11	18	to	to	ADP
ejpam-5262	11	19	the	the	DET
ejpam-5262	11	20	participants	participant	NOUN
ejpam-5262	11	21	present	present	ADJ
ejpam-5262	11	22	during	during	ADP
ejpam-5262	11	23	the	the	DET
ejpam-5262	11	24	reconstruction	reconstruction	NOUN
ejpam-5262	11	25	process	process	NOUN
ejpam-5262	11	26	,	,	PUNCT
ejpam-5262	11	27	known	know	VERB
ejpam-5262	11	28	as	as	ADP
ejpam-5262	11	29	threshold	threshold	NOUN
ejpam-5262	11	30	changeable	changeable	ADJ
ejpam-5262	11	31	secret	secret	ADJ
ejpam-5262	11	32	sharing	sharing	NOUN
ejpam-5262	11	33	(	(	PUNCT
ejpam-5262	11	34	tcss	tcss	NOUN
ejpam-5262	11	35	)	)	PUNCT
ejpam-5262	11	36	.	.	PUNCT
ejpam-5262	12	1	this	this	PRON
ejpam-5262	12	2	aims	aim	VERB
ejpam-5262	12	3	to	to	PART
ejpam-5262	12	4	prevent	prevent	VERB
ejpam-5262	12	5	external	external	ADJ
ejpam-5262	12	6	parties	party	NOUN
ejpam-5262	12	7	from	from	ADP
ejpam-5262	12	8	pretending	pretend	VERB
ejpam-5262	12	9	to	to	PART
ejpam-5262	12	10	be	be	AUX
ejpam-5262	12	11	valid	valid	ADJ
ejpam-5262	12	12	participants	participant	NOUN
ejpam-5262	12	13	in	in	ADP
ejpam-5262	12	14	order	order	NOUN
ejpam-5262	12	15	to	to	PART
ejpam-5262	12	16	learn	learn	VERB
ejpam-5262	12	17	the	the	DET
ejpam-5262	12	18	secret	secret	NOUN
ejpam-5262	12	19	.	.	PUNCT
ejpam-5262	13	1	in	in	ADP
ejpam-5262	13	2	this	this	DET
ejpam-5262	13	3	research	research	NOUN
ejpam-5262	13	4	,	,	PUNCT
ejpam-5262	13	5	a	a	DET
ejpam-5262	13	6	tcss	tcss	ADJ
ejpam-5262	13	7	scheme	scheme	NOUN
ejpam-5262	13	8	will	will	AUX
ejpam-5262	13	9	be	be	AUX
ejpam-5262	13	10	designed	design	VERB
ejpam-5262	13	11	using	use	VERB
ejpam-5262	13	12	skew	skew	ADJ
ejpam-5262	13	13	polynomials	polynomial	NOUN
ejpam-5262	13	14	.	.	PUNCT
ejpam-5262	14	1	the	the	DET
ejpam-5262	14	2	aim	aim	NOUN
ejpam-5262	14	3	is	be	AUX
ejpam-5262	14	4	to	to	PART
ejpam-5262	14	5	make	make	VERB
ejpam-5262	14	6	the	the	DET
ejpam-5262	14	7	tcss	tcss	PROPN
ejpam-5262	14	8	scheme	scheme	PROPN
ejpam-5262	14	9	’s	’s	PART
ejpam-5262	14	10	calculations	calculation	NOUN
ejpam-5262	14	11	more	more	ADV
ejpam-5262	14	12	complex	complex	ADJ
ejpam-5262	14	13	,	,	PUNCT
ejpam-5262	14	14	making	make	VERB
ejpam-5262	14	15	it	it	PRON
ejpam-5262	14	16	harder	hard	ADJ
ejpam-5262	14	17	for	for	SCONJ
ejpam-5262	14	18	adversaries	adversary	NOUN
ejpam-5262	14	19	to	to	PART
ejpam-5262	14	20	access	access	VERB
ejpam-5262	14	21	the	the	DET
ejpam-5262	14	22	secret	secret	NOUN
ejpam-5262	14	23	.	.	PUNCT
ejpam-5262	15	1	2020	2020	NUM
ejpam-5262	15	2	mathematics	mathematic	NOUN
ejpam-5262	15	3	subject	subject	NOUN
ejpam-5262	15	4	classifications	classification	NOUN
ejpam-5262	15	5	:	:	PUNCT
ejpam-5262	15	6	94a62	94a62	NUM
ejpam-5262	15	7	,	,	PUNCT
ejpam-5262	15	8	12e10	12e10	NUM
ejpam-5262	15	9	key	key	ADJ
ejpam-5262	15	10	words	word	NOUN
ejpam-5262	15	11	and	and	CCONJ
ejpam-5262	15	12	phrases	phrase	NOUN
ejpam-5262	15	13	:	:	PUNCT
ejpam-5262	15	14	secret	secret	ADJ
ejpam-5262	15	15	sharing	sharing	NOUN
ejpam-5262	15	16	,	,	PUNCT
ejpam-5262	15	17	threshold	threshold	VERB
ejpam-5262	15	18	changeable	changeable	ADJ
ejpam-5262	15	19	secret	secret	ADJ
ejpam-5262	15	20	sharing	sharing	NOUN
ejpam-5262	15	21	,	,	PUNCT
ejpam-5262	15	22	skew	skew	ADJ
ejpam-5262	15	23	polynomials	polynomial	NOUN
ejpam-5262	15	24	1	1	NUM
ejpam-5262	15	25	.	.	PUNCT
ejpam-5262	16	1	introduction	introduction	NOUN
ejpam-5262	16	2	initially	initially	ADV
ejpam-5262	16	3	proposed	propose	VERB
ejpam-5262	16	4	by	by	ADP
ejpam-5262	16	5	shamir	shamir	PROPN
ejpam-5262	16	6	[	[	X
ejpam-5262	16	7	13	13	NUM
ejpam-5262	16	8	]	]	PUNCT
ejpam-5262	16	9	as	as	ADP
ejpam-5262	16	10	a	a	DET
ejpam-5262	16	11	threshold	threshold	NOUN
ejpam-5262	16	12	scheme	scheme	NOUN
ejpam-5262	16	13	utilizing	utilize	VERB
ejpam-5262	16	14	polynomials	polynomial	NOUN
ejpam-5262	16	15	and	and	CCONJ
ejpam-5262	16	16	later	later	ADV
ejpam-5262	16	17	by	by	ADP
ejpam-5262	16	18	blakley	blakley	NOUN
ejpam-5262	16	19	[	[	X
ejpam-5262	16	20	1	1	NUM
ejpam-5262	16	21	]	]	PUNCT
ejpam-5262	16	22	as	as	ADP
ejpam-5262	16	23	a	a	DET
ejpam-5262	16	24	scheme	scheme	NOUN
ejpam-5262	16	25	involving	involve	VERB
ejpam-5262	16	26	geometric	geometric	ADJ
ejpam-5262	16	27	hyperplanes	hyperplane	NOUN
ejpam-5262	16	28	,	,	PUNCT
ejpam-5262	16	29	the	the	DET
ejpam-5262	16	30	concept	concept	NOUN
ejpam-5262	16	31	of	of	ADP
ejpam-5262	16	32	secret	secret	ADJ
ejpam-5262	16	33	sharing	sharing	NOUN
ejpam-5262	16	34	plays	play	VERB
ejpam-5262	16	35	a	a	DET
ejpam-5262	16	36	pivotal	pivotal	ADJ
ejpam-5262	16	37	role	role	NOUN
ejpam-5262	16	38	in	in	ADP
ejpam-5262	16	39	safeguarding	safeguard	VERB
ejpam-5262	16	40	information	information	NOUN
ejpam-5262	16	41	among	among	ADP
ejpam-5262	16	42	individuals	individual	NOUN
ejpam-5262	16	43	or	or	CCONJ
ejpam-5262	16	44	participants	participant	NOUN
ejpam-5262	16	45	in	in	ADP
ejpam-5262	16	46	a	a	DET
ejpam-5262	16	47	group	group	NOUN
ejpam-5262	16	48	who	who	PRON
ejpam-5262	16	49	may	may	AUX
ejpam-5262	16	50	not	not	PART
ejpam-5262	16	51	fully	fully	ADV
ejpam-5262	16	52	trust	trust	VERB
ejpam-5262	16	53	each	each	DET
ejpam-5262	16	54	other	other	ADJ
ejpam-5262	16	55	.	.	PUNCT
ejpam-5262	17	1	the	the	DET
ejpam-5262	17	2	fundamental	fundamental	ADJ
ejpam-5262	17	3	notion	notion	NOUN
ejpam-5262	17	4	is	be	AUX
ejpam-5262	17	5	to	to	PART
ejpam-5262	17	6	partition	partition	VERB
ejpam-5262	17	7	a	a	DET
ejpam-5262	17	8	secret	secret	NOUN
ejpam-5262	17	9	into	into	ADP
ejpam-5262	17	10	multiple	multiple	ADJ
ejpam-5262	17	11	shares	share	NOUN
ejpam-5262	17	12	in	in	ADP
ejpam-5262	17	13	a	a	DET
ejpam-5262	17	14	manner	manner	NOUN
ejpam-5262	17	15	that	that	PRON
ejpam-5262	17	16	ensures	ensure	VERB
ejpam-5262	17	17	no	no	DET
ejpam-5262	17	18	single	single	ADJ
ejpam-5262	17	19	share	share	NOUN
ejpam-5262	17	20	holds	hold	VERB
ejpam-5262	17	21	any	any	DET
ejpam-5262	17	22	information	information	NOUN
ejpam-5262	17	23	about	about	ADP
ejpam-5262	17	24	∗corresponding	∗corresponde	VERB
ejpam-5262	17	25	author	author	NOUN
ejpam-5262	17	26	.	.	PUNCT
ejpam-5262	18	1	doi	doi	NOUN
ejpam-5262	18	2	:	:	PUNCT
ejpam-5262	18	3	https://doi.org/10.29020/nybg.ejpam.v17i3.5262	https://doi.org/10.29020/nybg.ejpam.v17i3.5262	PROPN
ejpam-5262	18	4	email	email	NOUN
ejpam-5262	18	5	addresses	address	NOUN
ejpam-5262	18	6	:	:	PUNCT
ejpam-5262	18	7	angga.wijaya@if.itera.ac.id	angga.wijaya@if.itera.ac.id	PUNCT
ejpam-5262	18	8	(	(	PUNCT
ejpam-5262	18	9	a.	a.	PROPN
ejpam-5262	18	10	wijaya	wijaya	PROPN
ejpam-5262	18	11	)	)	PUNCT
ejpam-5262	18	12	,	,	PUNCT
ejpam-5262	18	13	ntan@itb.ac.id	ntan@itb.ac.id	NOUN
ejpam-5262	18	14	(	(	PUNCT
ejpam-5262	18	15	i.	i.	PROPN
ejpam-5262	18	16	muchtadi	muchtadi	PROPN
ejpam-5262	18	17	alamsyah	alamsyah	PROPN
ejpam-5262	18	18	)	)	PUNCT
ejpam-5262	18	19	,	,	PUNCT
ejpam-5262	18	20	barra@itb.ac.id	barra@itb.ac.id	PROPN
ejpam-5262	18	21	(	(	PUNCT
ejpam-5262	18	22	a.	a.	NOUN
ejpam-5262	18	23	barra	barra	PROPN
ejpam-5262	18	24	)	)	PUNCT
ejpam-5262	18	25	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-5262	18	26	1751	1751	NUM
ejpam-5262	18	27	©	©	ADP
ejpam-5262	18	28	2024	2024	NUM
ejpam-5262	18	29	ejpam	ejpam	NOUN
ejpam-5262	18	30	all	all	DET
ejpam-5262	18	31	rights	right	NOUN
ejpam-5262	18	32	reserved	reserve	VERB
ejpam-5262	18	33	.	.	PUNCT
ejpam-5262	19	1	a.	a.	PROPN
ejpam-5262	19	2	wijaya	wijaya	PROPN
ejpam-5262	19	3	,	,	PUNCT
ejpam-5262	19	4	i.	i.	PROPN
ejpam-5262	19	5	muchtadi	muchtadi	PROPN
ejpam-5262	19	6	alamsyah	alamsyah	PROPN
ejpam-5262	19	7	,	,	PUNCT
ejpam-5262	19	8	a.	a.	NOUN
ejpam-5262	19	9	barra	barra	PROPN
ejpam-5262	19	10	/	/	SYM
ejpam-5262	19	11	eur	eur	PROPN
ejpam-5262	19	12	.	.	PUNCT
ejpam-5262	20	1	j.	j.	PROPN
ejpam-5262	20	2	pure	pure	PROPN
ejpam-5262	20	3	appl	appl	PROPN
ejpam-5262	20	4	.	.	PROPN
ejpam-5262	20	5	math	math	PROPN
ejpam-5262	20	6	,	,	PUNCT
ejpam-5262	20	7	17	17	NUM
ejpam-5262	20	8	(	(	PUNCT
ejpam-5262	20	9	3	3	NUM
ejpam-5262	20	10	)	)	PUNCT
ejpam-5262	20	11	(	(	PUNCT
ejpam-5262	20	12	2024	2024	NUM
ejpam-5262	20	13	)	)	PUNCT
ejpam-5262	20	14	,	,	PUNCT
ejpam-5262	20	15	1751	1751	NUM
ejpam-5262	20	16	-	-	SYM
ejpam-5262	20	17	1761	1761	NUM
ejpam-5262	20	18	1752	1752	NUM
ejpam-5262	20	19	the	the	DET
ejpam-5262	20	20	original	original	ADJ
ejpam-5262	20	21	secret	secret	NOUN
ejpam-5262	20	22	.	.	PUNCT
ejpam-5262	21	1	this	this	DET
ejpam-5262	21	2	arrangement	arrangement	NOUN
ejpam-5262	21	3	enables	enable	VERB
ejpam-5262	21	4	a	a	DET
ejpam-5262	21	5	collective	collective	ADJ
ejpam-5262	21	6	group	group	NOUN
ejpam-5262	21	7	of	of	ADP
ejpam-5262	21	8	participants	participant	NOUN
ejpam-5262	21	9	who	who	PRON
ejpam-5262	21	10	meet	meet	VERB
ejpam-5262	21	11	specific	specific	ADJ
ejpam-5262	21	12	conditions	condition	NOUN
ejpam-5262	21	13	to	to	PART
ejpam-5262	21	14	access	access	VERB
ejpam-5262	21	15	and	and	CCONJ
ejpam-5262	21	16	disclose	disclose	VERB
ejpam-5262	21	17	the	the	DET
ejpam-5262	21	18	original	original	ADJ
ejpam-5262	21	19	secret	secret	NOUN
ejpam-5262	21	20	.	.	PUNCT
ejpam-5262	22	1	the	the	DET
ejpam-5262	22	2	applications	application	NOUN
ejpam-5262	22	3	of	of	ADP
ejpam-5262	22	4	secret	secret	ADJ
ejpam-5262	22	5	sharing	sharing	NOUN
ejpam-5262	22	6	span	span	VERB
ejpam-5262	22	7	various	various	ADJ
ejpam-5262	22	8	domains	domain	NOUN
ejpam-5262	22	9	,	,	PUNCT
ejpam-5262	22	10	encompassing	encompass	VERB
ejpam-5262	22	11	key	key	ADJ
ejpam-5262	22	12	management	management	NOUN
ejpam-5262	22	13	[	[	X
ejpam-5262	22	14	6	6	NUM
ejpam-5262	22	15	]	]	PUNCT
ejpam-5262	22	16	,	,	PUNCT
ejpam-5262	22	17	multiparty	multiparty	ADJ
ejpam-5262	22	18	computation	computation	NOUN
ejpam-5262	23	1	[	[	X
ejpam-5262	23	2	12][4	12][4	NUM
ejpam-5262	23	3	]	]	X
ejpam-5262	23	4	,	,	PUNCT
ejpam-5262	23	5	digital	digital	ADJ
ejpam-5262	23	6	signature	signature	NOUN
ejpam-5262	23	7	protocols	protocol	NOUN
ejpam-5262	24	1	[	[	X
ejpam-5262	24	2	2	2	NUM
ejpam-5262	24	3	]	]	PUNCT
ejpam-5262	24	4	,	,	PUNCT
ejpam-5262	24	5	and	and	CCONJ
ejpam-5262	24	6	more	more	ADJ
ejpam-5262	24	7	.	.	PUNCT
ejpam-5262	25	1	the	the	DET
ejpam-5262	25	2	(	(	PUNCT
ejpam-5262	25	3	k	k	NOUN
ejpam-5262	25	4	,	,	PUNCT
ejpam-5262	25	5	n	n	CCONJ
ejpam-5262	25	6	)	)	PUNCT
ejpam-5262	25	7	threshold	threshold	NOUN
ejpam-5262	25	8	scheme	scheme	NOUN
ejpam-5262	25	9	indicates	indicate	VERB
ejpam-5262	25	10	that	that	SCONJ
ejpam-5262	25	11	to	to	PART
ejpam-5262	25	12	reconstruct	reconstruct	VERB
ejpam-5262	25	13	the	the	DET
ejpam-5262	25	14	secret	secret	NOUN
ejpam-5262	25	15	,	,	PUNCT
ejpam-5262	25	16	a	a	DET
ejpam-5262	25	17	minimum	minimum	NOUN
ejpam-5262	25	18	of	of	ADP
ejpam-5262	25	19	k	k	PROPN
ejpam-5262	25	20	participants	participant	NOUN
ejpam-5262	25	21	out	out	ADP
ejpam-5262	25	22	of	of	ADP
ejpam-5262	25	23	a	a	DET
ejpam-5262	25	24	total	total	NOUN
ejpam-5262	25	25	of	of	ADP
ejpam-5262	25	26	n	n	PRON
ejpam-5262	25	27	participants	participant	NOUN
ejpam-5262	25	28	must	must	AUX
ejpam-5262	25	29	collaborate	collaborate	VERB
ejpam-5262	25	30	by	by	ADP
ejpam-5262	25	31	combining	combine	VERB
ejpam-5262	25	32	their	their	PRON
ejpam-5262	25	33	shares	share	NOUN
ejpam-5262	25	34	.	.	PUNCT
ejpam-5262	26	1	consequently	consequently	ADV
ejpam-5262	26	2	,	,	PUNCT
ejpam-5262	26	3	secret	secret	ADJ
ejpam-5262	26	4	sharing	sharing	NOUN
ejpam-5262	26	5	schemes	scheme	NOUN
ejpam-5262	26	6	involve	involve	VERB
ejpam-5262	26	7	two	two	NUM
ejpam-5262	26	8	primary	primary	ADJ
ejpam-5262	26	9	stages	stage	NOUN
ejpam-5262	26	10	:	:	PUNCT
ejpam-5262	26	11	share	share	NOUN
ejpam-5262	26	12	generation	generation	NOUN
ejpam-5262	26	13	and	and	CCONJ
ejpam-5262	26	14	secret	secret	ADJ
ejpam-5262	26	15	reconstruction	reconstruction	NOUN
ejpam-5262	26	16	.	.	PUNCT
ejpam-5262	27	1	share	share	NOUN
ejpam-5262	27	2	generation	generation	NOUN
ejpam-5262	27	3	is	be	AUX
ejpam-5262	27	4	conducted	conduct	VERB
ejpam-5262	27	5	by	by	ADP
ejpam-5262	27	6	a	a	DET
ejpam-5262	27	7	trusted	trust	VERB
ejpam-5262	27	8	dealer	dealer	NOUN
ejpam-5262	27	9	.	.	PUNCT
ejpam-5262	28	1	during	during	ADP
ejpam-5262	28	2	the	the	DET
ejpam-5262	28	3	secret	secret	ADJ
ejpam-5262	28	4	reconstruction	reconstruction	NOUN
ejpam-5262	28	5	phase	phase	NOUN
ejpam-5262	28	6	,	,	PUNCT
ejpam-5262	28	7	only	only	ADV
ejpam-5262	28	8	a	a	DET
ejpam-5262	28	9	subset	subset	NOUN
ejpam-5262	28	10	of	of	ADP
ejpam-5262	28	11	participants	participant	NOUN
ejpam-5262	28	12	with	with	ADP
ejpam-5262	28	13	valid	valid	ADJ
ejpam-5262	28	14	shares	share	NOUN
ejpam-5262	28	15	,	,	PUNCT
ejpam-5262	28	16	comprising	comprise	VERB
ejpam-5262	28	17	at	at	ADP
ejpam-5262	28	18	least	least	ADJ
ejpam-5262	28	19	k	k	ADJ
ejpam-5262	28	20	individuals	individual	NOUN
ejpam-5262	28	21	from	from	ADP
ejpam-5262	28	22	the	the	DET
ejpam-5262	28	23	total	total	NOUN
ejpam-5262	28	24	n	n	DET
ejpam-5262	28	25	participants	participant	NOUN
ejpam-5262	28	26	,	,	PUNCT
ejpam-5262	28	27	is	be	AUX
ejpam-5262	28	28	capable	capable	ADJ
ejpam-5262	28	29	of	of	ADP
ejpam-5262	28	30	executing	execute	VERB
ejpam-5262	28	31	the	the	DET
ejpam-5262	28	32	reconstruction	reconstruction	NOUN
ejpam-5262	28	33	process	process	NOUN
ejpam-5262	28	34	.	.	PUNCT
ejpam-5262	29	1	the	the	DET
ejpam-5262	29	2	issue	issue	NOUN
ejpam-5262	29	3	arises	arise	VERB
ejpam-5262	29	4	when	when	SCONJ
ejpam-5262	29	5	there	there	PRON
ejpam-5262	29	6	are	be	VERB
ejpam-5262	29	7	more	more	ADJ
ejpam-5262	29	8	than	than	SCONJ
ejpam-5262	29	9	k	k	PROPN
ejpam-5262	29	10	participants	participant	NOUN
ejpam-5262	29	11	gathered	gather	VERB
ejpam-5262	29	12	,	,	PUNCT
ejpam-5262	29	13	but	but	CCONJ
ejpam-5262	29	14	among	among	ADP
ejpam-5262	29	15	them	they	PRON
ejpam-5262	29	16	,	,	PUNCT
ejpam-5262	29	17	there	there	PRON
ejpam-5262	29	18	is	be	VERB
ejpam-5262	29	19	a	a	DET
ejpam-5262	29	20	minimum	minimum	NOUN
ejpam-5262	29	21	of	of	ADP
ejpam-5262	29	22	k	k	PROPN
ejpam-5262	29	23	valid	valid	ADJ
ejpam-5262	29	24	participants	participant	NOUN
ejpam-5262	29	25	,	,	PUNCT
ejpam-5262	29	26	and	and	CCONJ
ejpam-5262	29	27	at	at	ADV
ejpam-5262	29	28	least	least	ADJ
ejpam-5262	29	29	one	one	NUM
ejpam-5262	29	30	of	of	ADP
ejpam-5262	29	31	the	the	DET
ejpam-5262	29	32	remaining	remain	VERB
ejpam-5262	29	33	ones	one	NOUN
ejpam-5262	29	34	acts	act	VERB
ejpam-5262	29	35	as	as	ADP
ejpam-5262	29	36	an	an	DET
ejpam-5262	29	37	adversary	adversary	NOUN
ejpam-5262	29	38	,	,	PUNCT
ejpam-5262	29	39	pretending	pretend	VERB
ejpam-5262	29	40	to	to	PART
ejpam-5262	29	41	be	be	AUX
ejpam-5262	29	42	a	a	DET
ejpam-5262	29	43	valid	valid	ADJ
ejpam-5262	29	44	participant	participant	NOUN
ejpam-5262	29	45	.	.	PUNCT
ejpam-5262	30	1	of	of	ADP
ejpam-5262	30	2	course	course	NOUN
ejpam-5262	30	3	,	,	PUNCT
ejpam-5262	30	4	the	the	DET
ejpam-5262	30	5	adversary	adversary	NOUN
ejpam-5262	30	6	does	do	AUX
ejpam-5262	30	7	n’t	not	PART
ejpam-5262	30	8	possess	possess	VERB
ejpam-5262	30	9	valid	valid	ADJ
ejpam-5262	30	10	shares	share	NOUN
ejpam-5262	30	11	.	.	PUNCT
ejpam-5262	31	1	however	however	ADV
ejpam-5262	31	2	,	,	PUNCT
ejpam-5262	31	3	with	with	ADP
ejpam-5262	31	4	a	a	DET
ejpam-5262	31	5	threshold	threshold	NOUN
ejpam-5262	31	6	scheme	scheme	NOUN
ejpam-5262	31	7	(	(	PUNCT
ejpam-5262	31	8	k	k	NOUN
ejpam-5262	31	9	,	,	PUNCT
ejpam-5262	31	10	n	n	CCONJ
ejpam-5262	31	11	)	)	PUNCT
ejpam-5262	31	12	,	,	PUNCT
ejpam-5262	31	13	under	under	ADP
ejpam-5262	31	14	such	such	ADJ
ejpam-5262	31	15	conditions	condition	NOUN
ejpam-5262	31	16	,	,	PUNCT
ejpam-5262	31	17	it	it	PRON
ejpam-5262	31	18	is	be	AUX
ejpam-5262	31	19	still	still	ADV
ejpam-5262	31	20	possible	possible	ADJ
ejpam-5262	31	21	to	to	PART
ejpam-5262	31	22	reconstruct	reconstruct	VERB
ejpam-5262	31	23	the	the	DET
ejpam-5262	31	24	secret	secret	NOUN
ejpam-5262	31	25	.	.	PUNCT
ejpam-5262	32	1	this	this	PRON
ejpam-5262	32	2	poses	pose	VERB
ejpam-5262	32	3	a	a	DET
ejpam-5262	32	4	risk	risk	NOUN
ejpam-5262	32	5	as	as	SCONJ
ejpam-5262	32	6	it	it	PRON
ejpam-5262	32	7	allows	allow	VERB
ejpam-5262	32	8	adversaries	adversary	NOUN
ejpam-5262	32	9	who	who	PRON
ejpam-5262	32	10	should	should	AUX
ejpam-5262	32	11	not	not	PART
ejpam-5262	32	12	have	have	VERB
ejpam-5262	32	13	access	access	NOUN
ejpam-5262	32	14	to	to	ADP
ejpam-5262	32	15	the	the	DET
ejpam-5262	32	16	secret	secret	NOUN
ejpam-5262	32	17	to	to	PART
ejpam-5262	32	18	gain	gain	VERB
ejpam-5262	32	19	knowledge	knowledge	NOUN
ejpam-5262	32	20	they	they	PRON
ejpam-5262	32	21	are	be	AUX
ejpam-5262	32	22	not	not	PART
ejpam-5262	32	23	entitled	entitle	VERB
ejpam-5262	32	24	to	to	ADP
ejpam-5262	32	25	.	.	PUNCT
ejpam-5262	33	1	hence	hence	ADV
ejpam-5262	33	2	,	,	PUNCT
ejpam-5262	33	3	the	the	DET
ejpam-5262	33	4	idea	idea	NOUN
ejpam-5262	33	5	of	of	ADP
ejpam-5262	33	6	a	a	DET
ejpam-5262	33	7	changeable	changeable	ADJ
ejpam-5262	33	8	threshold	threshold	NOUN
ejpam-5262	33	9	secret	secret	ADJ
ejpam-5262	33	10	sharing	sharing	NOUN
ejpam-5262	33	11	(	(	PUNCT
ejpam-5262	33	12	tcss	tcss	ADJ
ejpam-5262	33	13	)	)	PUNCT
ejpam-5262	33	14	emerged	emerge	VERB
ejpam-5262	33	15	,	,	PUNCT
ejpam-5262	33	16	as	as	SCONJ
ejpam-5262	33	17	introduced	introduce	VERB
ejpam-5262	33	18	by	by	ADP
ejpam-5262	33	19	martin	martin	PROPN
ejpam-5262	34	1	[	[	X
ejpam-5262	34	2	8	8	NUM
ejpam-5262	34	3	]	]	PUNCT
ejpam-5262	34	4	and	and	CCONJ
ejpam-5262	34	5	further	far	ADV
ejpam-5262	34	6	discussed	discuss	VERB
ejpam-5262	34	7	by	by	ADP
ejpam-5262	34	8	meng	meng	PROPN
ejpam-5262	35	1	[	[	X
ejpam-5262	35	2	9	9	NUM
ejpam-5262	35	3	]	]	PUNCT
ejpam-5262	35	4	.	.	PUNCT
ejpam-5262	36	1	initially	initially	ADV
ejpam-5262	36	2	,	,	PUNCT
ejpam-5262	36	3	the	the	DET
ejpam-5262	36	4	threshold	threshold	NOUN
ejpam-5262	36	5	is	be	AUX
ejpam-5262	36	6	set	set	VERB
ejpam-5262	36	7	as	as	ADP
ejpam-5262	36	8	k	k	PROPN
ejpam-5262	36	9	by	by	ADP
ejpam-5262	36	10	the	the	DET
ejpam-5262	36	11	dealer	dealer	NOUN
ejpam-5262	36	12	,	,	PUNCT
ejpam-5262	36	13	but	but	CCONJ
ejpam-5262	36	14	during	during	ADP
ejpam-5262	36	15	secret	secret	ADJ
ejpam-5262	36	16	reconstruction	reconstruction	NOUN
ejpam-5262	36	17	,	,	PUNCT
ejpam-5262	36	18	it	it	PRON
ejpam-5262	36	19	can	can	AUX
ejpam-5262	36	20	be	be	AUX
ejpam-5262	36	21	changed	change	VERB
ejpam-5262	36	22	to	to	ADP
ejpam-5262	36	23	k′	k′	PROPN
ejpam-5262	36	24	with	with	ADP
ejpam-5262	36	25	k′	k′	PROPN
ejpam-5262	36	26	>	>	X
ejpam-5262	36	27	k.	k.	PROPN
ejpam-5262	37	1	in	in	ADP
ejpam-5262	37	2	this	this	DET
ejpam-5262	37	3	scenario	scenario	NOUN
ejpam-5262	37	4	,	,	PUNCT
ejpam-5262	37	5	each	each	DET
ejpam-5262	37	6	participant	participant	NOUN
ejpam-5262	37	7	should	should	AUX
ejpam-5262	37	8	have	have	VERB
ejpam-5262	37	9	a	a	DET
ejpam-5262	37	10	share	share	NOUN
ejpam-5262	37	11	corresponding	correspond	VERB
ejpam-5262	37	12	to	to	ADP
ejpam-5262	37	13	the	the	DET
ejpam-5262	37	14	number	number	NOUN
ejpam-5262	37	15	of	of	ADP
ejpam-5262	37	16	participants	participant	NOUN
ejpam-5262	37	17	involved	involve	VERB
ejpam-5262	37	18	in	in	ADP
ejpam-5262	37	19	the	the	DET
ejpam-5262	37	20	reconstruction	reconstruction	NOUN
ejpam-5262	37	21	at	at	ADP
ejpam-5262	37	22	that	that	DET
ejpam-5262	37	23	time	time	NOUN
ejpam-5262	37	24	.	.	PUNCT
ejpam-5262	38	1	moreover	moreover	ADV
ejpam-5262	38	2	,	,	PUNCT
ejpam-5262	38	3	advancements	advancement	NOUN
ejpam-5262	38	4	in	in	ADP
ejpam-5262	38	5	secret	secret	ADJ
ejpam-5262	38	6	sharing	sharing	NOUN
ejpam-5262	38	7	research	research	NOUN
ejpam-5262	38	8	were	be	AUX
ejpam-5262	38	9	made	make	VERB
ejpam-5262	38	10	by	by	ADP
ejpam-5262	38	11	zhang	zhang	PROPN
ejpam-5262	39	1	[	[	X
ejpam-5262	39	2	15	15	NUM
ejpam-5262	39	3	]	]	PUNCT
ejpam-5262	39	4	and	and	CCONJ
ejpam-5262	39	5	johnson	johnson	PROPN
ejpam-5262	40	1	[	[	X
ejpam-5262	40	2	7	7	NUM
ejpam-5262	40	3	]	]	PUNCT
ejpam-5262	40	4	,	,	PUNCT
ejpam-5262	40	5	who	who	PRON
ejpam-5262	40	6	introduced	introduce	VERB
ejpam-5262	40	7	the	the	DET
ejpam-5262	40	8	threshold	threshold	NOUN
ejpam-5262	40	9	secret	secret	ADJ
ejpam-5262	40	10	sharing	sharing	NOUN
ejpam-5262	40	11	scheme	scheme	NOUN
ejpam-5262	40	12	(	(	PUNCT
ejpam-5262	40	13	k	k	NOUN
ejpam-5262	40	14	,	,	PUNCT
ejpam-5262	40	15	n	n	CCONJ
ejpam-5262	40	16	)	)	PUNCT
ejpam-5262	40	17	based	base	VERB
ejpam-5262	40	18	on	on	ADP
ejpam-5262	40	19	skew	skew	ADJ
ejpam-5262	40	20	polynomials	polynomial	NOUN
ejpam-5262	40	21	.	.	PUNCT
ejpam-5262	41	1	the	the	DET
ejpam-5262	41	2	concept	concept	NOUN
ejpam-5262	41	3	of	of	ADP
ejpam-5262	41	4	skew	skew	ADJ
ejpam-5262	41	5	polynomials	polynomial	NOUN
ejpam-5262	41	6	was	be	AUX
ejpam-5262	41	7	previously	previously	ADV
ejpam-5262	41	8	introduced	introduce	VERB
ejpam-5262	41	9	by	by	ADP
ejpam-5262	41	10	noether	noether	ADJ
ejpam-5262	41	11	[	[	X
ejpam-5262	41	12	10	10	NUM
ejpam-5262	41	13	]	]	PUNCT
ejpam-5262	41	14	and	and	CCONJ
ejpam-5262	41	15	ore	ore	NOUN
ejpam-5262	42	1	[	[	X
ejpam-5262	42	2	11	11	NUM
ejpam-5262	42	3	]	]	PUNCT
ejpam-5262	42	4	.	.	PUNCT
ejpam-5262	43	1	the	the	DET
ejpam-5262	43	2	skew	skew	ADJ
ejpam-5262	43	3	polynomial	polynomial	ADJ
ejpam-5262	43	4	ring	ring	NOUN
ejpam-5262	43	5	,	,	PUNCT
ejpam-5262	43	6	denoted	denote	VERB
ejpam-5262	43	7	as	as	ADP
ejpam-5262	43	8	r[x	r[x	PROPN
ejpam-5262	43	9	,	,	PUNCT
ejpam-5262	43	10	σ	σ	PROPN
ejpam-5262	43	11	]	]	PUNCT
ejpam-5262	43	12	,	,	PUNCT
ejpam-5262	43	13	is	be	AUX
ejpam-5262	43	14	defined	define	VERB
ejpam-5262	43	15	,	,	PUNCT
ejpam-5262	43	16	with	with	ADP
ejpam-5262	43	17	r	r	NOUN
ejpam-5262	43	18	taking	take	VERB
ejpam-5262	43	19	the	the	DET
ejpam-5262	43	20	form	form	NOUN
ejpam-5262	43	21	of	of	ADP
ejpam-5262	43	22	a	a	DET
ejpam-5262	43	23	field	field	NOUN
ejpam-5262	43	24	,	,	PUNCT
ejpam-5262	43	25	and	and	CCONJ
ejpam-5262	43	26	σ	σ	NOUN
ejpam-5262	43	27	representing	represent	VERB
ejpam-5262	43	28	an	an	DET
ejpam-5262	43	29	automorphism	automorphism	NOUN
ejpam-5262	43	30	on	on	ADP
ejpam-5262	43	31	r.	r.	NOUN
ejpam-5262	43	32	the	the	DET
ejpam-5262	43	33	utilization	utilization	NOUN
ejpam-5262	43	34	of	of	ADP
ejpam-5262	43	35	skew	skew	ADJ
ejpam-5262	43	36	polynomials	polynomial	NOUN
ejpam-5262	43	37	in	in	ADP
ejpam-5262	43	38	polynomial	polynomial	ADJ
ejpam-5262	43	39	evaluation	evaluation	NOUN
ejpam-5262	43	40	and	and	CCONJ
ejpam-5262	43	41	lagrange	lagrange	NOUN
ejpam-5262	43	42	interpolation	interpolation	NOUN
ejpam-5262	43	43	introduces	introduce	VERB
ejpam-5262	43	44	complexity	complexity	NOUN
ejpam-5262	43	45	due	due	ADP
ejpam-5262	43	46	to	to	ADP
ejpam-5262	43	47	the	the	DET
ejpam-5262	43	48	involvement	involvement	NOUN
ejpam-5262	43	49	of	of	ADP
ejpam-5262	43	50	the	the	DET
ejpam-5262	43	51	automorphism	automorphism	NOUN
ejpam-5262	43	52	function	function	NOUN
ejpam-5262	43	53	σ	σ	PROPN
ejpam-5262	43	54	,	,	PUNCT
ejpam-5262	43	55	as	as	SCONJ
ejpam-5262	43	56	outlined	outline	VERB
ejpam-5262	43	57	by	by	ADP
ejpam-5262	43	58	eric	eric	PROPN
ejpam-5262	44	1	[	[	X
ejpam-5262	44	2	3	3	X
ejpam-5262	44	3	]	]	PUNCT
ejpam-5262	44	4	in	in	ADP
ejpam-5262	44	5	the	the	DET
ejpam-5262	44	6	methodology	methodology	NOUN
ejpam-5262	44	7	for	for	ADP
ejpam-5262	44	8	performing	perform	VERB
ejpam-5262	44	9	interpolation	interpolation	NOUN
ejpam-5262	44	10	using	use	VERB
ejpam-5262	44	11	skew	skew	ADJ
ejpam-5262	44	12	polynomials	polynomial	NOUN
ejpam-5262	44	13	.	.	PUNCT
ejpam-5262	45	1	consequently	consequently	ADV
ejpam-5262	45	2	,	,	PUNCT
ejpam-5262	45	3	the	the	DET
ejpam-5262	45	4	secret	secret	ADJ
ejpam-5262	45	5	sharing	sharing	NOUN
ejpam-5262	45	6	scheme	scheme	NOUN
ejpam-5262	45	7	becomes	become	VERB
ejpam-5262	45	8	more	more	ADV
ejpam-5262	45	9	intricate	intricate	ADJ
ejpam-5262	45	10	.	.	PUNCT
ejpam-5262	46	1	in	in	ADP
ejpam-5262	46	2	this	this	DET
ejpam-5262	46	3	research	research	NOUN
ejpam-5262	46	4	,	,	PUNCT
ejpam-5262	46	5	the	the	DET
ejpam-5262	46	6	original	original	ADJ
ejpam-5262	46	7	threshold	threshold	NOUN
ejpam-5262	46	8	changeable	changeable	ADJ
ejpam-5262	46	9	secret	secret	ADJ
ejpam-5262	46	10	sharing	sharing	NOUN
ejpam-5262	46	11	(	(	PUNCT
ejpam-5262	46	12	tcss	tcss	ADJ
ejpam-5262	46	13	)	)	PUNCT
ejpam-5262	46	14	scheme	scheme	NOUN
ejpam-5262	46	15	is	be	AUX
ejpam-5262	46	16	implemented	implement	VERB
ejpam-5262	46	17	using	use	VERB
ejpam-5262	46	18	skew	skew	ADJ
ejpam-5262	46	19	polynomials	polynomial	NOUN
ejpam-5262	46	20	.	.	PUNCT
ejpam-5262	47	1	consequently	consequently	ADV
ejpam-5262	47	2	,	,	PUNCT
ejpam-5262	47	3	this	this	DET
ejpam-5262	47	4	process	process	NOUN
ejpam-5262	47	5	experiences	experience	VERB
ejpam-5262	47	6	an	an	DET
ejpam-5262	47	7	increase	increase	NOUN
ejpam-5262	47	8	in	in	ADP
ejpam-5262	47	9	computational	computational	ADJ
ejpam-5262	47	10	time	time	NOUN
ejpam-5262	47	11	,	,	PUNCT
ejpam-5262	47	12	making	make	VERB
ejpam-5262	47	13	it	it	PRON
ejpam-5262	47	14	more	more	ADJ
ejpam-5262	47	15	time	time	NOUN
ejpam-5262	47	16	-	-	PUNCT
ejpam-5262	47	17	consuming	consume	VERB
ejpam-5262	47	18	for	for	ADP
ejpam-5262	47	19	adversaries	adversary	NOUN
ejpam-5262	47	20	to	to	PART
ejpam-5262	47	21	reconstruct	reconstruct	VERB
ejpam-5262	47	22	the	the	DET
ejpam-5262	47	23	secret	secret	NOUN
ejpam-5262	47	24	.	.	PUNCT
ejpam-5262	48	1	2	2	X
ejpam-5262	48	2	.	.	NUM
ejpam-5262	48	3	preliminaries	preliminary	NOUN
ejpam-5262	48	4	the	the	DET
ejpam-5262	48	5	following	follow	VERB
ejpam-5262	48	6	are	be	AUX
ejpam-5262	48	7	definitions	definition	NOUN
ejpam-5262	48	8	,	,	PUNCT
ejpam-5262	48	9	basic	basic	ADJ
ejpam-5262	48	10	theories	theory	NOUN
ejpam-5262	48	11	and	and	CCONJ
ejpam-5262	48	12	theorems	theorem	NOUN
ejpam-5262	48	13	from	from	ADP
ejpam-5262	48	14	previous	previous	ADJ
ejpam-5262	48	15	research	research	NOUN
ejpam-5262	48	16	.	.	PUNCT
ejpam-5262	49	1	definition	definition	NOUN
ejpam-5262	49	2	1	1	NUM
ejpam-5262	49	3	.	.	PUNCT
ejpam-5262	50	1	[	[	X
ejpam-5262	50	2	14](secret	14](secret	NUM
ejpam-5262	50	3	-	-	PUNCT
ejpam-5262	50	4	sharing	share	VERB
ejpam-5262	50	5	scheme	scheme	NOUN
ejpam-5262	50	6	)	)	PUNCT
ejpam-5262	50	7	let	let	VERB
ejpam-5262	50	8	s	s	PRON
ejpam-5262	50	9	be	be	AUX
ejpam-5262	50	10	a	a	DET
ejpam-5262	50	11	set	set	NOUN
ejpam-5262	50	12	of	of	ADP
ejpam-5262	50	13	secrets	secret	NOUN
ejpam-5262	50	14	,	,	PUNCT
ejpam-5262	50	15	where	where	SCONJ
ejpam-5262	50	16	|s|	|s|	NOUN
ejpam-5262	50	17	≥	≥	NOUN
ejpam-5262	50	18	2	2	NUM
ejpam-5262	50	19	.	.	PUNCT
ejpam-5262	51	1	a	a	DET
ejpam-5262	51	2	secret	secret	ADJ
ejpam-5262	51	3	sharing	sharing	NOUN
ejpam-5262	51	4	scheme	scheme	NOUN
ejpam-5262	51	5	π	π	PROPN
ejpam-5262	51	6	on	on	ADP
ejpam-5262	51	7	u	u	NOUN
ejpam-5262	51	8	=	=	NOUN
ejpam-5262	51	9	{	{	PUNCT
ejpam-5262	51	10	u1	u1	NOUN
ejpam-5262	51	11	,	,	PUNCT
ejpam-5262	51	12	...	...	PUNCT
ejpam-5262	51	13	,	,	PUNCT
ejpam-5262	51	14	un	un	PROPN
ejpam-5262	51	15	}	}	PUNCT
ejpam-5262	51	16	with	with	ADP
ejpam-5262	51	17	domain	domain	NOUN
ejpam-5262	51	18	of	of	ADP
ejpam-5262	51	19	secrets	secret	NOUN
ejpam-5262	51	20	s	s	PART
ejpam-5262	51	21	is	be	AUX
ejpam-5262	51	22	a	a	DET
ejpam-5262	51	23	mapping	mapping	NOUN
ejpam-5262	51	24	from	from	ADP
ejpam-5262	51	25	s	s	PRON
ejpam-5262	51	26	to	to	ADP
ejpam-5262	51	27	a	a	DET
ejpam-5262	51	28	set	set	NOUN
ejpam-5262	51	29	of	of	ADP
ejpam-5262	51	30	n	n	CCONJ
ejpam-5262	51	31	-	-	PUNCT
ejpam-5262	51	32	tuples	tuple	NOUN
ejpam-5262	51	33	πn	πn	X
ejpam-5262	51	34	i=1si	i=1si	NUM
ejpam-5262	51	35	,	,	PUNCT
ejpam-5262	51	36	where	where	SCONJ
ejpam-5262	51	37	si	si	PROPN
ejpam-5262	51	38	is	be	AUX
ejpam-5262	51	39	called	call	VERB
ejpam-5262	51	40	the	the	DET
ejpam-5262	51	41	share	share	NOUN
ejpam-5262	51	42	domain	domain	NOUN
ejpam-5262	51	43	of	of	ADP
ejpam-5262	51	44	ui	ui	PROPN
ejpam-5262	51	45	.	.	PUNCT
ejpam-5262	51	46	a.	a.	PROPN
ejpam-5262	51	47	wijaya	wijaya	PROPN
ejpam-5262	51	48	,	,	PUNCT
ejpam-5262	51	49	i.	i.	PROPN
ejpam-5262	51	50	muchtadi	muchtadi	PROPN
ejpam-5262	51	51	alamsyah	alamsyah	PROPN
ejpam-5262	51	52	,	,	PUNCT
ejpam-5262	51	53	a.	a.	NOUN
ejpam-5262	51	54	barra	barra	PROPN
ejpam-5262	51	55	/	/	SYM
ejpam-5262	51	56	eur	eur	PROPN
ejpam-5262	51	57	.	.	PUNCT
ejpam-5262	52	1	j.	j.	PROPN
ejpam-5262	52	2	pure	pure	PROPN
ejpam-5262	52	3	appl	appl	PROPN
ejpam-5262	52	4	.	.	PROPN
ejpam-5262	52	5	math	math	PROPN
ejpam-5262	52	6	,	,	PUNCT
ejpam-5262	52	7	17	17	NUM
ejpam-5262	52	8	(	(	PUNCT
ejpam-5262	52	9	3	3	NUM
ejpam-5262	52	10	)	)	PUNCT
ejpam-5262	52	11	(	(	PUNCT
ejpam-5262	52	12	2024	2024	NUM
ejpam-5262	52	13	)	)	PUNCT
ejpam-5262	52	14	,	,	PUNCT
ejpam-5262	52	15	1751	1751	NUM
ejpam-5262	52	16	-	-	SYM
ejpam-5262	52	17	1761	1761	NUM
ejpam-5262	52	18	1753	1753	NUM
ejpam-5262	52	19	definition	definition	NOUN
ejpam-5262	52	20	2	2	NUM
ejpam-5262	52	21	.	.	PUNCT
ejpam-5262	53	1	[	[	X
ejpam-5262	53	2	5](skew	5](skew	NUM
ejpam-5262	53	3	polynomials	polynomial	NOUN
ejpam-5262	53	4	ring	ring	NOUN
ejpam-5262	53	5	)	)	PUNCT
ejpam-5262	53	6	let	let	VERB
ejpam-5262	53	7	r	r	PRON
ejpam-5262	53	8	be	be	AUX
ejpam-5262	53	9	a	a	DET
ejpam-5262	53	10	field	field	NOUN
ejpam-5262	53	11	,	,	PUNCT
ejpam-5262	53	12	σ	σ	PROPN
ejpam-5262	53	13	is	be	AUX
ejpam-5262	53	14	a	a	DET
ejpam-5262	53	15	ring	ring	NOUN
ejpam-5262	53	16	automorphism	automorphism	NOUN
ejpam-5262	53	17	on	on	ADP
ejpam-5262	53	18	r.	r.	PROPN
ejpam-5262	53	19	r[x	r[x	PROPN
ejpam-5262	53	20	,	,	PUNCT
ejpam-5262	53	21	σ	σ	PROPN
ejpam-5262	53	22	]	]	PUNCT
ejpam-5262	53	23	is	be	AUX
ejpam-5262	53	24	skew	skew	ADJ
ejpam-5262	53	25	polynomial	polynomial	ADJ
ejpam-5262	53	26	ring	ring	NOUN
ejpam-5262	53	27	with	with	ADP
ejpam-5262	53	28	usual	usual	ADJ
ejpam-5262	53	29	polynomial	polynomial	ADJ
ejpam-5262	53	30	addition	addition	NOUN
ejpam-5262	53	31	and	and	CCONJ
ejpam-5262	53	32	left	leave	VERB
ejpam-5262	53	33	scalar	scalar	ADJ
ejpam-5262	53	34	multiplication	multiplication	NOUN
ejpam-5262	53	35	.	.	PUNCT
ejpam-5262	54	1	for	for	ADP
ejpam-5262	54	2	right	right	ADJ
ejpam-5262	54	3	scalar	scalar	ADJ
ejpam-5262	54	4	multiplication	multiplication	NOUN
ejpam-5262	54	5	:	:	PUNCT
ejpam-5262	54	6	x	x	X
ejpam-5262	54	7	·	·	PUNCT
ejpam-5262	54	8	a	a	X
ejpam-5262	54	9	=	=	X
ejpam-5262	54	10	σ(a	σ(a	PROPN
ejpam-5262	54	11	)	)	PUNCT
ejpam-5262	54	12	·	·	PUNCT
ejpam-5262	54	13	x	x	PUNCT
ejpam-5262	54	14	for	for	ADP
ejpam-5262	54	15	all	all	DET
ejpam-5262	54	16	a	a	DET
ejpam-5262	54	17	∈	∈	NOUN
ejpam-5262	54	18	r	r	NOUN
ejpam-5262	54	19	definition	definition	NOUN
ejpam-5262	54	20	3	3	NUM
ejpam-5262	54	21	.	.	PUNCT
ejpam-5262	55	1	[	[	X
ejpam-5262	55	2	15](skew	15](skew	NUM
ejpam-5262	55	3	polynomial	polynomial	ADJ
ejpam-5262	55	4	ring	ring	NOUN
ejpam-5262	55	5	evaluation	evaluation	NOUN
ejpam-5262	55	6	)	)	PUNCT
ejpam-5262	55	7	let	let	VERB
ejpam-5262	55	8	r[x	r[x	NOUN
ejpam-5262	55	9	,	,	PUNCT
ejpam-5262	55	10	σ	σ	PROPN
ejpam-5262	55	11	]	]	X
ejpam-5262	55	12	skew	skew	ADJ
ejpam-5262	55	13	polynomial	polynomial	ADJ
ejpam-5262	55	14	ring	ring	NOUN
ejpam-5262	55	15	,	,	PUNCT
ejpam-5262	55	16	f(x	f(x	PROPN
ejpam-5262	55	17	)	)	PUNCT
ejpam-5262	55	18	∈	∈	PROPN
ejpam-5262	55	19	r[x	r[x	NOUN
ejpam-5262	55	20	,	,	PUNCT
ejpam-5262	55	21	σ	σ	PROPN
ejpam-5262	55	22	]	]	X
ejpam-5262	55	23	,	,	PUNCT
ejpam-5262	55	24	and	and	CCONJ
ejpam-5262	55	25	any	any	DET
ejpam-5262	55	26	a	a	DET
ejpam-5262	55	27	∈	∈	PROPN
ejpam-5262	55	28	r.	r.	NOUN
ejpam-5262	55	29	define	define	VERB
ejpam-5262	55	30	the	the	DET
ejpam-5262	55	31	set	set	NOUN
ejpam-5262	55	32	{	{	PUNCT
ejpam-5262	55	33	nn	nn	NOUN
ejpam-5262	55	34	:	:	PUNCT
ejpam-5262	55	35	r	r	NOUN
ejpam-5262	55	36	→	→	SYM
ejpam-5262	55	37	r	r	NOUN
ejpam-5262	55	38	|	|	NOUN
ejpam-5262	55	39	n	n	CCONJ
ejpam-5262	55	40	≥	≥	NOUN
ejpam-5262	55	41	0	0	NUM
ejpam-5262	55	42	}	}	PUNCT
ejpam-5262	55	43	recursively	recursively	ADV
ejpam-5262	55	44	for	for	ADP
ejpam-5262	55	45	all	all	DET
ejpam-5262	55	46	a	a	DET
ejpam-5262	55	47	∈	∈	NOUN
ejpam-5262	55	48	r	r	NOUN
ejpam-5262	55	49	,	,	PUNCT
ejpam-5262	55	50	n0(a	n0(a	NUM
ejpam-5262	55	51	)	)	PUNCT
ejpam-5262	55	52	=	=	SYM
ejpam-5262	55	53	1	1	NUM
ejpam-5262	55	54	and	and	CCONJ
ejpam-5262	55	55	nn+1(a	nn+1(a	PROPN
ejpam-5262	55	56	)	)	PUNCT
ejpam-5262	55	57	=	=	SYM
ejpam-5262	55	58	σ(nn(a))a	σ(nn(a))a	PROPN
ejpam-5262	55	59	.	.	PROPN
ejpam-5262	55	60	based	base	VERB
ejpam-5262	55	61	on	on	ADP
ejpam-5262	55	62	remainder	remainder	NOUN
ejpam-5262	55	63	theorem	theorem	NOUN
ejpam-5262	55	64	:	:	PUNCT
ejpam-5262	55	65	f(x	f(x	PROPN
ejpam-5262	55	66	)	)	PUNCT
ejpam-5262	56	1	=	=	NOUN
ejpam-5262	57	1	q(x)(x−	q(x)(x−	PROPN
ejpam-5262	57	2	a	a	NOUN
ejpam-5262	57	3	)	)	PUNCT
ejpam-5262	58	1	+	+	ADP
ejpam-5262	58	2	r	r	NOUN
ejpam-5262	58	3	with	with	ADP
ejpam-5262	58	4	r	r	NOUN
ejpam-5262	58	5	∈	∈	PROPN
ejpam-5262	58	6	r	r	NOUN
ejpam-5262	58	7	,	,	PUNCT
ejpam-5262	58	8	the	the	DET
ejpam-5262	58	9	right	right	ADJ
ejpam-5262	58	10	remainder	remainder	NOUN
ejpam-5262	58	11	of	of	ADP
ejpam-5262	58	12	f(x	f(x	PROPN
ejpam-5262	58	13	)	)	PUNCT
ejpam-5262	58	14	by	by	ADP
ejpam-5262	58	15	(	(	PUNCT
ejpam-5262	58	16	x−	x−	PROPN
ejpam-5262	58	17	a	a	PRON
ejpam-5262	58	18	)	)	PUNCT
ejpam-5262	58	19	is	be	AUX
ejpam-5262	58	20	r	r	NOUN
ejpam-5262	58	21	=	=	SYM
ejpam-5262	58	22	σaini(a	σaini(a	PROPN
ejpam-5262	58	23	)	)	PUNCT
ejpam-5262	58	24	.	.	PUNCT
ejpam-5262	59	1	so	so	ADV
ejpam-5262	59	2	the	the	DET
ejpam-5262	59	3	evaluation	evaluation	NOUN
ejpam-5262	59	4	of	of	ADP
ejpam-5262	59	5	f(x	f(x	PROPN
ejpam-5262	59	6	)	)	PUNCT
ejpam-5262	59	7	on	on	ADP
ejpam-5262	59	8	a	a	DET
ejpam-5262	59	9	:	:	PUNCT
ejpam-5262	59	10	f(a	f(a	NOUN
ejpam-5262	59	11	)	)	PUNCT
ejpam-5262	60	1	=	=	SYM
ejpam-5262	60	2	r	r	NOUN
ejpam-5262	60	3	=	=	SYM
ejpam-5262	60	4	σaini(a	σaini(a	PROPN
ejpam-5262	60	5	)	)	PUNCT
ejpam-5262	60	6	theorem	theorem	NOUN
ejpam-5262	60	7	1	1	NUM
ejpam-5262	60	8	.	.	PUNCT
ejpam-5262	61	1	[	[	X
ejpam-5262	61	2	3	3	X
ejpam-5262	61	3	]	]	PUNCT
ejpam-5262	61	4	let	let	VERB
ejpam-5262	61	5	∆	∆	PROPN
ejpam-5262	61	6	=	=	PRON
ejpam-5262	61	7	{	{	PUNCT
ejpam-5262	61	8	x1	x1	PROPN
ejpam-5262	61	9	,	,	PUNCT
ejpam-5262	61	10	x2	x2	PROPN
ejpam-5262	61	11	,	,	PUNCT
ejpam-5262	61	12	...	...	PUNCT
ejpam-5262	61	13	,	,	PUNCT
ejpam-5262	61	14	xn	xn	PROPN
ejpam-5262	61	15	}	}	PUNCT
ejpam-5262	61	16	and	and	CCONJ
ejpam-5262	61	17	xi	xi	ADP
ejpam-5262	61	18	∈	∈	PROPN
ejpam-5262	61	19	r	r	NOUN
ejpam-5262	61	20	,	,	PUNCT
ejpam-5262	61	21	where	where	SCONJ
ejpam-5262	61	22	r	r	NOUN
ejpam-5262	61	23	is	be	AUX
ejpam-5262	61	24	division	division	NOUN
ejpam-5262	61	25	ring	ring	NOUN
ejpam-5262	61	26	.	.	PUNCT
ejpam-5262	62	1	then	then	ADV
ejpam-5262	62	2	(	(	PUNCT
ejpam-5262	62	3	i	i	NOUN
ejpam-5262	62	4	)	)	PUNCT
ejpam-5262	62	5	there	there	PRON
ejpam-5262	62	6	exist	exist	VERB
ejpam-5262	62	7	nonzero	nonzero	ADJ
ejpam-5262	62	8	polynomial	polynomial	PROPN
ejpam-5262	62	9	f	f	PROPN
ejpam-5262	62	10	∈	∈	PROPN
ejpam-5262	62	11	r[x	r[x	PROPN
ejpam-5262	62	12	,	,	PUNCT
ejpam-5262	62	13	σ	σ	PROPN
ejpam-5262	62	14	]	]	PUNCT
ejpam-5262	62	15	such	such	ADJ
ejpam-5262	62	16	that	that	DET
ejpam-5262	62	17	f(xi	f(xi	PROPN
ejpam-5262	62	18	)	)	PUNCT
ejpam-5262	62	19	=	=	SYM
ejpam-5262	63	1	0	0	X
ejpam-5262	63	2	.	.	PUNCT
ejpam-5262	63	3	(	(	PUNCT
ejpam-5262	63	4	ii	ii	NOUN
ejpam-5262	63	5	)	)	PUNCT
ejpam-5262	63	6	the	the	DET
ejpam-5262	63	7	set	set	NOUN
ejpam-5262	63	8	i	i	PRON
ejpam-5262	63	9	of	of	ADP
ejpam-5262	63	10	polynomials	polynomial	NOUN
ejpam-5262	63	11	vanishing	vanish	VERB
ejpam-5262	63	12	on	on	ADP
ejpam-5262	63	13	∆	∆	PROPN
ejpam-5262	63	14	form	form	NOUN
ejpam-5262	63	15	a	a	DET
ejpam-5262	63	16	left	left	ADJ
ejpam-5262	63	17	ideal	ideal	NOUN
ejpam-5262	63	18	in	in	ADP
ejpam-5262	63	19	r[x	r[x	PROPN
ejpam-5262	63	20	,	,	PUNCT
ejpam-5262	63	21	σ	σ	PROPN
ejpam-5262	63	22	]	]	PUNCT
ejpam-5262	63	23	.	.	PUNCT
ejpam-5262	64	1	(	(	PUNCT
ejpam-5262	64	2	iii	iii	X
ejpam-5262	64	3	)	)	PUNCT
ejpam-5262	64	4	if	if	SCONJ
ejpam-5262	64	5	f∆	f∆	NOUN
ejpam-5262	64	6	is	be	AUX
ejpam-5262	64	7	monic	monic	ADJ
ejpam-5262	64	8	polynomial	polynomial	NOUN
ejpam-5262	64	9	of	of	ADP
ejpam-5262	64	10	the	the	DET
ejpam-5262	64	11	smallest	small	ADJ
ejpam-5262	64	12	degree	degree	NOUN
ejpam-5262	64	13	in	in	ADP
ejpam-5262	64	14	i	i	PRON
ejpam-5262	64	15	,	,	PUNCT
ejpam-5262	64	16	then	then	ADV
ejpam-5262	64	17	i	i	PRON
ejpam-5262	64	18	=	=	SYM
ejpam-5262	64	19	r[x	r[x	PROPN
ejpam-5262	64	20	,	,	PUNCT
ejpam-5262	64	21	σ]f∆	σ]f∆	ADP
ejpam-5262	64	22	where	where	SCONJ
ejpam-5262	64	23	f∆	f∆	NOUN
ejpam-5262	64	24	is	be	AUX
ejpam-5262	64	25	called	call	VERB
ejpam-5262	64	26	minimal	minimal	ADJ
ejpam-5262	64	27	polynomial	polynomial	NOUN
ejpam-5262	64	28	of	of	ADP
ejpam-5262	64	29	∆.	∆.	ADJ
ejpam-5262	64	30	procedure	procedure	NOUN
ejpam-5262	64	31	to	to	PART
ejpam-5262	64	32	find	find	VERB
ejpam-5262	64	33	minimal	minimal	ADJ
ejpam-5262	64	34	polynomial	polynomial	NOUN
ejpam-5262	64	35	of	of	ADP
ejpam-5262	64	36	{	{	PUNCT
ejpam-5262	64	37	x1	x1	PROPN
ejpam-5262	64	38	,	,	PUNCT
ejpam-5262	64	39	x2	x2	PROPN
ejpam-5262	64	40	,	,	PUNCT
ejpam-5262	64	41	...	...	PUNCT
ejpam-5262	64	42	,	,	PUNCT
ejpam-5262	64	43	xn	xn	PROPN
ejpam-5262	64	44	}	}	PUNCT
ejpam-5262	64	45	:	:	PUNCT
ejpam-5262	64	46	(	(	PUNCT
ejpam-5262	64	47	i	i	NOUN
ejpam-5262	64	48	)	)	PUNCT
ejpam-5262	64	49	let	let	VERB
ejpam-5262	64	50	∆	∆	PROPN
ejpam-5262	64	51	=	=	PRON
ejpam-5262	64	52	{	{	PUNCT
ejpam-5262	64	53	x1	x1	PROPN
ejpam-5262	64	54	,	,	PUNCT
ejpam-5262	64	55	x2	x2	PROPN
ejpam-5262	64	56	}	}	PUNCT
ejpam-5262	64	57	(	(	PUNCT
ejpam-5262	64	58	ii	ii	NOUN
ejpam-5262	64	59	)	)	PUNCT
ejpam-5262	64	60	the	the	DET
ejpam-5262	64	61	polynomial	polynomial	ADJ
ejpam-5262	64	62	vanishing	vanishing	NOUN
ejpam-5262	64	63	on	on	ADP
ejpam-5262	64	64	∆	∆	PROPN
ejpam-5262	64	65	is	be	AUX
ejpam-5262	64	66	:	:	PUNCT
ejpam-5262	64	67	f{x1,x2}(x	f{x1,x2}(x	ADJ
ejpam-5262	64	68	)	)	PUNCT
ejpam-5262	65	1	=	=	SYM
ejpam-5262	65	2	(	(	PUNCT
ejpam-5262	65	3	x−	x−	PROPN
ejpam-5262	65	4	σ(x2	σ(x2	NOUN
ejpam-5262	65	5	−	−	PROPN
ejpam-5262	65	6	x1)x2(x2	x1)x2(x2	NOUN
ejpam-5262	66	1	−	−	PROPN
ejpam-5262	66	2	x1	x1	PROPN
ejpam-5262	66	3	)	)	PUNCT
ejpam-5262	66	4	−1)(x−	−1)(x−	PROPN
ejpam-5262	66	5	x1	x1	PROPN
ejpam-5262	66	6	)	)	PUNCT
ejpam-5262	66	7	(	(	PUNCT
ejpam-5262	66	8	iii	iii	NOUN
ejpam-5262	66	9	)	)	PUNCT
ejpam-5262	66	10	by	by	ADP
ejpam-5262	66	11	recursively	recursively	NOUN
ejpam-5262	66	12	for	for	ADP
ejpam-5262	66	13	∆	∆	PROPN
ejpam-5262	66	14	=	=	SYM
ejpam-5262	66	15	{	{	PUNCT
ejpam-5262	66	16	x1	x1	PROPN
ejpam-5262	66	17	,	,	PUNCT
ejpam-5262	66	18	x2	x2	PROPN
ejpam-5262	66	19	,	,	PUNCT
ejpam-5262	66	20	...	...	PUNCT
ejpam-5262	66	21	,	,	PUNCT
ejpam-5262	66	22	xn	xn	PROPN
ejpam-5262	66	23	}	}	PUNCT
ejpam-5262	66	24	,	,	PUNCT
ejpam-5262	66	25	the	the	DET
ejpam-5262	66	26	polynomial	polynomial	ADJ
ejpam-5262	66	27	vanishing	vanishing	NOUN
ejpam-5262	66	28	on	on	ADP
ejpam-5262	66	29	∆	∆	PROPN
ejpam-5262	66	30	is	be	AUX
ejpam-5262	66	31	:	:	PUNCT
ejpam-5262	66	32	f{x1,x2,	f{x1,x2,	NUM
ejpam-5262	66	33	...	...	PUNCT
ejpam-5262	66	34	,xn}(x	,xn}(x	X
ejpam-5262	66	35	)	)	PUNCT
ejpam-5262	67	1	=	=	SYM
ejpam-5262	67	2	(	(	PUNCT
ejpam-5262	67	3	x−	x−	PROPN
ejpam-5262	67	4	σ(f{x1,x2,	σ(f{x1,x2,	PROPN
ejpam-5262	67	5	...	...	PUNCT
ejpam-5262	67	6	,xn−1}(xn))xn(f{x1,x2,	,xn−1}(xn))xn(f{x1,x2,	PUNCT
ejpam-5262	67	7	...	...	PUNCT
ejpam-5262	67	8	,xn−1}(xn	,xn−1}(xn	PUNCT
ejpam-5262	67	9	)	)	PUNCT
ejpam-5262	67	10	)	)	PUNCT
ejpam-5262	68	1	−1)(f{x1,x2,	−1)(f{x1,x2,	NOUN
ejpam-5262	68	2	...	...	PUNCT
ejpam-5262	68	3	,xn−1}(x	,xn−1}(x	PUNCT
ejpam-5262	68	4	)	)	PUNCT
ejpam-5262	68	5	)	)	PUNCT
ejpam-5262	68	6	theorem	theorem	VERB
ejpam-5262	68	7	2	2	NUM
ejpam-5262	68	8	.	.	PUNCT
ejpam-5262	69	1	[	[	X
ejpam-5262	69	2	3	3	X
ejpam-5262	69	3	]	]	PUNCT
ejpam-5262	69	4	let	let	VERB
ejpam-5262	69	5	∆	∆	PROPN
ejpam-5262	69	6	=	=	PRON
ejpam-5262	69	7	{	{	PUNCT
ejpam-5262	69	8	x1	x1	PROPN
ejpam-5262	69	9	,	,	PUNCT
ejpam-5262	69	10	x2	x2	PROPN
ejpam-5262	69	11	,	,	PUNCT
ejpam-5262	69	12	...	...	PUNCT
ejpam-5262	69	13	,	,	PUNCT
ejpam-5262	69	14	xn	xn	PROPN
ejpam-5262	69	15	}	}	PUNCT
ejpam-5262	69	16	and	and	CCONJ
ejpam-5262	69	17	xi	xi	ADP
ejpam-5262	69	18	∈	∈	NOUN
ejpam-5262	69	19	r	r	NOUN
ejpam-5262	69	20	where	where	SCONJ
ejpam-5262	69	21	r	r	NOUN
ejpam-5262	69	22	is	be	AUX
ejpam-5262	69	23	a	a	DET
ejpam-5262	69	24	division	division	NOUN
ejpam-5262	69	25	ring	ring	NOUN
ejpam-5262	69	26	.	.	PUNCT
ejpam-5262	70	1	for	for	ADP
ejpam-5262	70	2	any	any	DET
ejpam-5262	70	3	y1	y1	NOUN
ejpam-5262	70	4	,	,	PUNCT
ejpam-5262	70	5	y2	y2	PROPN
ejpam-5262	70	6	,	,	PUNCT
ejpam-5262	70	7	...	...	PUNCT
ejpam-5262	70	8	,	,	PUNCT
ejpam-5262	71	1	yn	yn	PROPN
ejpam-5262	71	2	∈	∈	PROPN
ejpam-5262	71	3	k	k	NOUN
ejpam-5262	71	4	there	there	PRON
ejpam-5262	71	5	exist	exist	VERB
ejpam-5262	71	6	a	a	DET
ejpam-5262	71	7	unique	unique	ADJ
ejpam-5262	71	8	polynomial	polynomial	ADJ
ejpam-5262	71	9	f	f	NOUN
ejpam-5262	71	10	∈	∈	PROPN
ejpam-5262	71	11	r	r	NOUN
ejpam-5262	71	12	such	such	ADJ
ejpam-5262	71	13	that	that	DET
ejpam-5262	71	14	f(xi	f(xi	PROPN
ejpam-5262	71	15	)	)	PUNCT
ejpam-5262	71	16	=	=	SYM
ejpam-5262	71	17	yi	yi	PROPN
ejpam-5262	71	18	and	and	CCONJ
ejpam-5262	71	19	deg	deg	PROPN
ejpam-5262	71	20	f	f	PROPN
ejpam-5262	71	21	≤	≤	PROPN
ejpam-5262	71	22	n−	n−	NOUN
ejpam-5262	71	23	1	1	NUM
ejpam-5262	71	24	if	if	SCONJ
ejpam-5262	71	25	and	and	CCONJ
ejpam-5262	71	26	only	only	ADV
ejpam-5262	71	27	if	if	SCONJ
ejpam-5262	71	28	deg	deg	PROPN
ejpam-5262	71	29	f∆	f∆	NOUN
ejpam-5262	71	30	=	=	SYM
ejpam-5262	72	1	n	n	X
ejpam-5262	72	2	where	where	SCONJ
ejpam-5262	72	3	f∆	f∆	PROPN
ejpam-5262	72	4	is	be	AUX
ejpam-5262	72	5	the	the	DET
ejpam-5262	72	6	minimal	minimal	ADJ
ejpam-5262	72	7	polynomial	polynomial	NOUN
ejpam-5262	72	8	of	of	ADP
ejpam-5262	72	9	the	the	DET
ejpam-5262	72	10	set	set	NOUN
ejpam-5262	73	1	∆.	∆.	VERB
ejpam-5262	73	2	the	the	DET
ejpam-5262	73	3	interpolation	interpolation	NOUN
ejpam-5262	73	4	polynomial	polynomial	NOUN
ejpam-5262	73	5	of	of	ADP
ejpam-5262	73	6	set	set	ADJ
ejpam-5262	73	7	∆	∆	PROPN
ejpam-5262	73	8	:	:	PUNCT
ejpam-5262	73	9	f(x	f(x	PROPN
ejpam-5262	73	10	)	)	PUNCT
ejpam-5262	74	1	=	=	SYM
ejpam-5262	74	2	n∑	n∑	PROPN
ejpam-5262	74	3	i=0	i=0	PROPN
ejpam-5262	74	4	yi	yi	X
ejpam-5262	74	5	·	·	PUNCT
ejpam-5262	74	6	li(xi	li(xi	PROPN
ejpam-5262	74	7	)	)	PUNCT
ejpam-5262	74	8	−1	−1	NOUN
ejpam-5262	74	9	·	·	PUNCT
ejpam-5262	74	10	li(x	li(x	NUM
ejpam-5262	74	11	)	)	PUNCT
ejpam-5262	74	12	where	where	SCONJ
ejpam-5262	74	13	li(x	li(x	NOUN
ejpam-5262	74	14	)	)	PUNCT
ejpam-5262	74	15	is	be	AUX
ejpam-5262	74	16	minimal	minimal	ADJ
ejpam-5262	74	17	monic	monic	ADJ
ejpam-5262	74	18	polynomial	polynomial	NOUN
ejpam-5262	74	19	such	such	ADJ
ejpam-5262	74	20	that	that	PRON
ejpam-5262	74	21	li(xj	li(xj	ADJ
ejpam-5262	74	22	)	)	PUNCT
ejpam-5262	75	1	=	=	SYM
ejpam-5262	75	2	0	0	PUNCT
ejpam-5262	76	1	for	for	ADP
ejpam-5262	76	2	i	i	PRON
ejpam-5262	76	3	̸=	̸=	PROPN
ejpam-5262	76	4	j.	j.	PROPN
ejpam-5262	76	5	a.	a.	PROPN
ejpam-5262	76	6	wijaya	wijaya	PROPN
ejpam-5262	76	7	,	,	PUNCT
ejpam-5262	76	8	i.	i.	PROPN
ejpam-5262	76	9	muchtadi	muchtadi	PROPN
ejpam-5262	76	10	alamsyah	alamsyah	PROPN
ejpam-5262	76	11	,	,	PUNCT
ejpam-5262	76	12	a.	a.	NOUN
ejpam-5262	76	13	barra	barra	PROPN
ejpam-5262	76	14	/	/	SYM
ejpam-5262	76	15	eur	eur	PROPN
ejpam-5262	76	16	.	.	PUNCT
ejpam-5262	77	1	j.	j.	PROPN
ejpam-5262	77	2	pure	pure	PROPN
ejpam-5262	77	3	appl	appl	PROPN
ejpam-5262	77	4	.	.	PROPN
ejpam-5262	77	5	math	math	PROPN
ejpam-5262	77	6	,	,	PUNCT
ejpam-5262	77	7	17	17	NUM
ejpam-5262	77	8	(	(	PUNCT
ejpam-5262	77	9	3	3	NUM
ejpam-5262	77	10	)	)	PUNCT
ejpam-5262	77	11	(	(	PUNCT
ejpam-5262	77	12	2024	2024	NUM
ejpam-5262	77	13	)	)	PUNCT
ejpam-5262	77	14	,	,	PUNCT
ejpam-5262	77	15	1751	1751	NUM
ejpam-5262	77	16	-	-	SYM
ejpam-5262	77	17	1761	1761	NUM
ejpam-5262	77	18	1754	1754	NUM
ejpam-5262	77	19	3	3	NUM
ejpam-5262	77	20	.	.	PUNCT
ejpam-5262	77	21	main	main	ADJ
ejpam-5262	77	22	result	result	NOUN
ejpam-5262	77	23	the	the	DET
ejpam-5262	77	24	outcome	outcome	NOUN
ejpam-5262	77	25	of	of	ADP
ejpam-5262	77	26	this	this	DET
ejpam-5262	77	27	study	study	NOUN
ejpam-5262	77	28	is	be	AUX
ejpam-5262	77	29	a	a	DET
ejpam-5262	77	30	secret	secret	ADJ
ejpam-5262	77	31	sharing	sharing	NOUN
ejpam-5262	77	32	scheme	scheme	NOUN
ejpam-5262	77	33	outlined	outline	VERB
ejpam-5262	77	34	in	in	ADP
ejpam-5262	77	35	three	three	NUM
ejpam-5262	77	36	stages	stage	NOUN
ejpam-5262	77	37	:	:	PUNCT
ejpam-5262	77	38	setup	setup	NOUN
ejpam-5262	77	39	,	,	PUNCT
ejpam-5262	77	40	share	share	NOUN
ejpam-5262	77	41	generation	generation	NOUN
ejpam-5262	77	42	,	,	PUNCT
ejpam-5262	77	43	and	and	CCONJ
ejpam-5262	77	44	secret	secret	ADJ
ejpam-5262	77	45	reconstruction	reconstruction	NOUN
ejpam-5262	77	46	.	.	PUNCT
ejpam-5262	78	1	subsequently	subsequently	ADV
ejpam-5262	78	2	,	,	PUNCT
ejpam-5262	78	3	there	there	PRON
ejpam-5262	78	4	is	be	VERB
ejpam-5262	78	5	a	a	DET
ejpam-5262	78	6	subsequent	subsequent	ADJ
ejpam-5262	78	7	examination	examination	NOUN
ejpam-5262	78	8	of	of	ADP
ejpam-5262	78	9	the	the	DET
ejpam-5262	78	10	algorithmic	algorithmic	ADJ
ejpam-5262	78	11	complexity	complexity	NOUN
ejpam-5262	78	12	within	within	ADP
ejpam-5262	78	13	the	the	DET
ejpam-5262	78	14	devised	devise	VERB
ejpam-5262	78	15	scheme	scheme	NOUN
ejpam-5262	78	16	.	.	PUNCT
ejpam-5262	79	1	3.1	3.1	NUM
ejpam-5262	79	2	.	.	PUNCT
ejpam-5262	79	3	setup	setup	NOUN
ejpam-5262	79	4	in	in	ADP
ejpam-5262	79	5	this	this	DET
ejpam-5262	79	6	stage	stage	NOUN
ejpam-5262	79	7	,	,	PUNCT
ejpam-5262	79	8	the	the	DET
ejpam-5262	79	9	dealer	dealer	NOUN
ejpam-5262	79	10	determines	determine	VERB
ejpam-5262	79	11	the	the	DET
ejpam-5262	79	12	total	total	ADJ
ejpam-5262	79	13	number	number	NOUN
ejpam-5262	79	14	of	of	ADP
ejpam-5262	79	15	participants	participant	NOUN
ejpam-5262	79	16	,	,	PUNCT
ejpam-5262	79	17	denoted	denote	VERB
ejpam-5262	79	18	as	as	ADP
ejpam-5262	79	19	n	n	CCONJ
ejpam-5262	79	20	,	,	PUNCT
ejpam-5262	79	21	and	and	CCONJ
ejpam-5262	79	22	the	the	DET
ejpam-5262	79	23	initial	initial	ADJ
ejpam-5262	79	24	threshold	threshold	NOUN
ejpam-5262	79	25	value	value	NOUN
ejpam-5262	79	26	required	require	VERB
ejpam-5262	79	27	for	for	ADP
ejpam-5262	79	28	secret	secret	ADJ
ejpam-5262	79	29	reconstruction	reconstruction	NOUN
ejpam-5262	79	30	,	,	PUNCT
ejpam-5262	79	31	denoted	denote	VERB
ejpam-5262	79	32	as	as	ADP
ejpam-5262	79	33	k.	k.	PROPN
ejpam-5262	79	34	the	the	DET
ejpam-5262	79	35	skew	skew	ADJ
ejpam-5262	79	36	polynomial	polynomial	ADJ
ejpam-5262	79	37	structure	structure	NOUN
ejpam-5262	79	38	r[x	r[x	PROPN
ejpam-5262	79	39	,	,	PUNCT
ejpam-5262	79	40	σ	σ	PROPN
ejpam-5262	79	41	]	]	X
ejpam-5262	79	42	is	be	AUX
ejpam-5262	79	43	also	also	ADV
ejpam-5262	79	44	defined	define	VERB
ejpam-5262	79	45	,	,	PUNCT
ejpam-5262	79	46	with	with	ADP
ejpam-5262	79	47	the	the	DET
ejpam-5262	79	48	restriction	restriction	NOUN
ejpam-5262	79	49	that	that	PRON
ejpam-5262	79	50	r	r	NOUN
ejpam-5262	79	51	is	be	AUX
ejpam-5262	79	52	a	a	DET
ejpam-5262	79	53	field	field	NOUN
ejpam-5262	79	54	,	,	PUNCT
ejpam-5262	79	55	and	and	CCONJ
ejpam-5262	79	56	σ	σ	PROPN
ejpam-5262	79	57	is	be	AUX
ejpam-5262	79	58	an	an	DET
ejpam-5262	79	59	automorphism	automorphism	NOUN
ejpam-5262	79	60	on	on	ADP
ejpam-5262	79	61	r.	r.	PROPN
ejpam-5262	79	62	the	the	DET
ejpam-5262	79	63	dealer	dealer	NOUN
ejpam-5262	79	64	then	then	ADV
ejpam-5262	79	65	selects	select	VERB
ejpam-5262	79	66	the	the	DET
ejpam-5262	79	67	secret	secret	NOUN
ejpam-5262	79	68	s	s	PROPN
ejpam-5262	79	69	,	,	PUNCT
ejpam-5262	79	70	represented	represent	VERB
ejpam-5262	79	71	by	by	ADP
ejpam-5262	79	72	an	an	DET
ejpam-5262	79	73	element	element	NOUN
ejpam-5262	79	74	in	in	ADP
ejpam-5262	79	75	r	r	NOUN
ejpam-5262	79	76	,	,	PUNCT
ejpam-5262	79	77	in	in	ADP
ejpam-5262	79	78	other	other	ADJ
ejpam-5262	79	79	words	word	NOUN
ejpam-5262	79	80	,	,	PUNCT
ejpam-5262	79	81	s	s	PART
ejpam-5262	79	82	is	be	AUX
ejpam-5262	79	83	an	an	DET
ejpam-5262	79	84	element	element	NOUN
ejpam-5262	79	85	of	of	ADP
ejpam-5262	79	86	r.	r.	PROPN
ejpam-5262	79	87	3.2	3.2	NUM
ejpam-5262	79	88	.	.	PUNCT
ejpam-5262	80	1	share	share	NOUN
ejpam-5262	80	2	generation	generation	NOUN
ejpam-5262	80	3	phase	phase	NOUN
ejpam-5262	80	4	(	(	PUNCT
ejpam-5262	80	5	i	i	NOUN
ejpam-5262	80	6	)	)	PUNCT
ejpam-5262	80	7	dealer	dealer	NOUN
ejpam-5262	80	8	set	set	VERB
ejpam-5262	80	9	polynomials	polynomial	NOUN
ejpam-5262	80	10	:	:	PUNCT
ejpam-5262	80	11	ft(x	ft(x	NUM
ejpam-5262	80	12	)	)	PUNCT
ejpam-5262	81	1	=	=	PUNCT
ejpam-5262	81	2	s+	s+	PUNCT
ejpam-5262	81	3	at,1x+	at,1x+	PROPN
ejpam-5262	81	4	at,2x	at,2x	PROPN
ejpam-5262	81	5	2	2	NUM
ejpam-5262	81	6	+	+	CCONJ
ejpam-5262	81	7	...	...	PUNCT
ejpam-5262	81	8	+	+	CCONJ
ejpam-5262	81	9	at	at	ADP
ejpam-5262	81	10	,	,	PUNCT
ejpam-5262	81	11	k−1x	k−1x	PROPN
ejpam-5262	81	12	k−1	k−1	PROPN
ejpam-5262	81	13	with	with	ADP
ejpam-5262	81	14	s	s	NOUN
ejpam-5262	81	15	=	=	SYM
ejpam-5262	81	16	secret	secret	ADJ
ejpam-5262	81	17	,	,	PUNCT
ejpam-5262	81	18	t	t	PROPN
ejpam-5262	81	19	∈	∈	PROPN
ejpam-5262	81	20	{	{	PUNCT
ejpam-5262	81	21	k	k	NOUN
ejpam-5262	81	22	,	,	PUNCT
ejpam-5262	81	23	k	k	PROPN
ejpam-5262	81	24	+	+	PROPN
ejpam-5262	81	25	1	1	NUM
ejpam-5262	81	26	,	,	PUNCT
ejpam-5262	81	27	.	.	PUNCT
ejpam-5262	81	28	.	.	PUNCT
ejpam-5262	81	29	.	.	PUNCT
ejpam-5262	81	30	,	,	PUNCT
ejpam-5262	81	31	n	n	CCONJ
ejpam-5262	81	32	}	}	PUNCT
ejpam-5262	81	33	,	,	PUNCT
ejpam-5262	81	34	at	at	ADP
ejpam-5262	81	35	,	,	PUNCT
ejpam-5262	81	36	j	j	PROPN
ejpam-5262	81	37	∈	∈	PROPN
ejpam-5262	81	38	r	r	NOUN
ejpam-5262	81	39	for	for	ADP
ejpam-5262	81	40	j	j	PROPN
ejpam-5262	81	41	∈	∈	PROPN
ejpam-5262	81	42	{	{	PUNCT
ejpam-5262	81	43	1	1	NUM
ejpam-5262	81	44	,	,	PUNCT
ejpam-5262	81	45	.	.	PUNCT
ejpam-5262	81	46	.	.	PUNCT
ejpam-5262	81	47	.	.	PUNCT
ejpam-5262	82	1	,	,	PUNCT
ejpam-5262	82	2	t−	t−	PROPN
ejpam-5262	82	3	1	1	NUM
ejpam-5262	82	4	}	}	PUNCT
ejpam-5262	82	5	and	and	CCONJ
ejpam-5262	82	6	at	at	ADP
ejpam-5262	82	7	,	,	PUNCT
ejpam-5262	82	8	t−1	t−1	PROPN
ejpam-5262	82	9	̸=	̸=	PROPN
ejpam-5262	82	10	0	0	NUM
ejpam-5262	82	11	.	.	PUNCT
ejpam-5262	82	12	(	(	PUNCT
ejpam-5262	82	13	ii	ii	NOUN
ejpam-5262	82	14	)	)	PUNCT
ejpam-5262	82	15	dealer	dealer	NOUN
ejpam-5262	82	16	choose	choose	VERB
ejpam-5262	82	17	x	x	PUNCT
ejpam-5262	82	18	=	=	PRON
ejpam-5262	82	19	{	{	PUNCT
ejpam-5262	82	20	xi	xi	X
ejpam-5262	82	21	}	}	PUNCT
ejpam-5262	82	22	with	with	ADP
ejpam-5262	82	23	xi	xi	ADP
ejpam-5262	82	24	∈	∈	PROPN
ejpam-5262	82	25	r	r	NOUN
ejpam-5262	82	26	for	for	ADP
ejpam-5262	82	27	i	i	PRON
ejpam-5262	82	28	∈	∈	PROPN
ejpam-5262	82	29	{	{	PUNCT
ejpam-5262	82	30	1	1	NUM
ejpam-5262	82	31	,	,	PUNCT
ejpam-5262	82	32	.	.	PUNCT
ejpam-5262	82	33	.	.	PUNCT
ejpam-5262	83	1	.	.	PUNCT
ejpam-5262	84	1	,	,	PUNCT
ejpam-5262	84	2	n	n	CCONJ
ejpam-5262	84	3	}	}	PUNCT
ejpam-5262	84	4	and	and	CCONJ
ejpam-5262	84	5	satisfy	satisfy	VERB
ejpam-5262	84	6	x	x	PUNCT
ejpam-5262	84	7	is	be	AUX
ejpam-5262	84	8	σ	σ	NOUN
ejpam-5262	84	9	-	-	PUNCT
ejpam-5262	84	10	pairwise	pairwise	NOUN
ejpam-5262	84	11	distinct	distinct	NOUN
ejpam-5262	84	12	which	which	PRON
ejpam-5262	84	13	mean	mean	VERB
ejpam-5262	84	14	for	for	ADP
ejpam-5262	84	15	i	i	PROPN
ejpam-5262	84	16	̸=	̸=	PROPN
ejpam-5262	84	17	j	j	PROPN
ejpam-5262	84	18	,	,	PUNCT
ejpam-5262	84	19	xi	xi	PROPN
ejpam-5262	84	20	and	and	CCONJ
ejpam-5262	84	21	xj	xj	PROPN
ejpam-5262	84	22	is	be	AUX
ejpam-5262	84	23	not	not	PART
ejpam-5262	84	24	σ	σ	NOUN
ejpam-5262	84	25	-	-	NOUN
ejpam-5262	84	26	conjugate	conjugate	ADJ
ejpam-5262	84	27	,	,	PUNCT
ejpam-5262	84	28	that	that	PRON
ejpam-5262	84	29	is	be	AUX
ejpam-5262	84	30	for	for	ADP
ejpam-5262	84	31	all	all	PRON
ejpam-5262	84	32	c	c	NOUN
ejpam-5262	84	33	∈	∈	PROPN
ejpam-5262	84	34	r	r	NOUN
ejpam-5262	84	35	,	,	PUNCT
ejpam-5262	84	36	xi	xi	X
ejpam-5262	84	37	̸=	̸=	PROPN
ejpam-5262	84	38	σ(c)xjc	σ(c)xjc	PROPN
ejpam-5262	84	39	−1	−1	NOUN
ejpam-5262	84	40	(	(	PUNCT
ejpam-5262	84	41	iii	iii	NOUN
ejpam-5262	84	42	)	)	PUNCT
ejpam-5262	84	43	evaluate	evaluate	VERB
ejpam-5262	84	44	value	value	NOUN
ejpam-5262	84	45	xi	xi	X
ejpam-5262	84	46	on	on	ADP
ejpam-5262	84	47	polynomials	polynomial	NOUN
ejpam-5262	84	48	ft(x	ft(x	NOUN
ejpam-5262	84	49	)	)	PUNCT
ejpam-5262	84	50	for	for	ADP
ejpam-5262	84	51	all	all	PRON
ejpam-5262	84	52	i	i	PRON
ejpam-5262	84	53	∈	∈	PROPN
ejpam-5262	84	54	{	{	PUNCT
ejpam-5262	84	55	1	1	NUM
ejpam-5262	84	56	,	,	PUNCT
ejpam-5262	84	57	.	.	PUNCT
ejpam-5262	84	58	.	.	PUNCT
ejpam-5262	85	1	.	.	PUNCT
ejpam-5262	86	1	,	,	PUNCT
ejpam-5262	86	2	n	n	CCONJ
ejpam-5262	86	3	}	}	PUNCT
ejpam-5262	86	4	and	and	CCONJ
ejpam-5262	86	5	t	t	PROPN
ejpam-5262	86	6	∈	∈	PROPN
ejpam-5262	86	7	{	{	PUNCT
ejpam-5262	86	8	k	k	NOUN
ejpam-5262	86	9	,	,	PUNCT
ejpam-5262	86	10	k+1	k+1	NOUN
ejpam-5262	86	11	,	,	PUNCT
ejpam-5262	86	12	.	.	PUNCT
ejpam-5262	86	13	.	.	PUNCT
ejpam-5262	87	1	.	.	PUNCT
ejpam-5262	88	1	,	,	PUNCT
ejpam-5262	88	2	n	n	CCONJ
ejpam-5262	88	3	}	}	PUNCT
ejpam-5262	88	4	using	use	VERB
ejpam-5262	88	5	skew	skew	ADJ
ejpam-5262	88	6	polynomials	polynomial	NOUN
ejpam-5262	88	7	evaluation	evaluation	NOUN
ejpam-5262	88	8	method	method	NOUN
ejpam-5262	88	9	.	.	PUNCT
ejpam-5262	89	1	ft(xi	ft(xi	ADJ
ejpam-5262	89	2	)	)	PUNCT
ejpam-5262	90	1	=	=	PUNCT
ejpam-5262	90	2	s+	s+	X
ejpam-5262	91	1	t−1∑	t−1∑	NUM
ejpam-5262	91	2	u=1	u=1	X
ejpam-5262	91	3	at	at	ADP
ejpam-5262	91	4	,	,	PUNCT
ejpam-5262	91	5	unu(xi	unu(xi	PRON
ejpam-5262	91	6	)	)	PUNCT
ejpam-5262	91	7	with	with	ADP
ejpam-5262	91	8	n0(xi	n0(xi	PROPN
ejpam-5262	91	9	)	)	PUNCT
ejpam-5262	91	10	=	=	SYM
ejpam-5262	91	11	0	0	NUM
ejpam-5262	91	12	and	and	CCONJ
ejpam-5262	91	13	nv+1(xi	nv+1(xi	NUM
ejpam-5262	91	14	)	)	PUNCT
ejpam-5262	92	1	=	=	NOUN
ejpam-5262	92	2	σ(nv(xi))xi	σ(nv(xi))xi	NOUN
ejpam-5262	92	3	for	for	ADP
ejpam-5262	92	4	v	v	NUM
ejpam-5262	92	5	≥	≥	NOUN
ejpam-5262	92	6	0	0	NUM
ejpam-5262	92	7	.	.	PUNCT
ejpam-5262	93	1	(	(	PUNCT
ejpam-5262	93	2	iv	iv	X
ejpam-5262	93	3	)	)	PUNCT
ejpam-5262	93	4	set	set	VERB
ejpam-5262	93	5	the	the	DET
ejpam-5262	93	6	share	share	NOUN
ejpam-5262	93	7	for	for	ADP
ejpam-5262	93	8	participant	participant	NOUN
ejpam-5262	93	9	i	i	PRON
ejpam-5262	93	10	is	be	AUX
ejpam-5262	93	11	(	(	PUNCT
ejpam-5262	93	12	xi	xi	PROPN
ejpam-5262	93	13	,	,	PUNCT
ejpam-5262	93	14	ft(xi	ft(xi	PROPN
ejpam-5262	93	15	)	)	PUNCT
ejpam-5262	93	16	)	)	PUNCT
ejpam-5262	93	17	for	for	ADP
ejpam-5262	93	18	all	all	DET
ejpam-5262	93	19	t	t	NOUN
ejpam-5262	93	20	∈	∈	PROPN
ejpam-5262	93	21	{	{	PUNCT
ejpam-5262	93	22	k	k	NOUN
ejpam-5262	93	23	,	,	PUNCT
ejpam-5262	93	24	k	k	PROPN
ejpam-5262	94	1	+	+	PROPN
ejpam-5262	94	2	1	1	NUM
ejpam-5262	94	3	,	,	PUNCT
ejpam-5262	94	4	.	.	PUNCT
ejpam-5262	94	5	.	.	PUNCT
ejpam-5262	95	1	.	.	PUNCT
ejpam-5262	95	2	,	,	PUNCT
ejpam-5262	95	3	n	n	CCONJ
ejpam-5262	95	4	}	}	PUNCT
ejpam-5262	95	5	.	.	PUNCT
ejpam-5262	96	1	so	so	ADV
ejpam-5262	96	2	each	each	DET
ejpam-5262	96	3	participants	participant	NOUN
ejpam-5262	96	4	has	have	VERB
ejpam-5262	96	5	n−	n−	PROPN
ejpam-5262	96	6	k	k	X
ejpam-5262	96	7	+	+	CCONJ
ejpam-5262	96	8	1	1	NUM
ejpam-5262	96	9	shares	share	NOUN
ejpam-5262	96	10	which	which	PRON
ejpam-5262	96	11	will	will	AUX
ejpam-5262	96	12	be	be	AUX
ejpam-5262	96	13	used	use	VERB
ejpam-5262	96	14	to	to	PART
ejpam-5262	96	15	reconstruct	reconstruct	VERB
ejpam-5262	96	16	the	the	DET
ejpam-5262	96	17	secret	secret	NOUN
ejpam-5262	96	18	based	base	VERB
ejpam-5262	96	19	on	on	ADP
ejpam-5262	96	20	corresponding	correspond	VERB
ejpam-5262	96	21	the	the	DET
ejpam-5262	96	22	value	value	NOUN
ejpam-5262	96	23	of	of	ADP
ejpam-5262	96	24	threshold	threshold	NOUN
ejpam-5262	96	25	t	t	NOUN
ejpam-5262	96	26	(	(	PUNCT
ejpam-5262	96	27	number	number	NOUN
ejpam-5262	96	28	of	of	ADP
ejpam-5262	96	29	collected	collect	VERB
ejpam-5262	96	30	participants	participant	NOUN
ejpam-5262	96	31	)	)	PUNCT
ejpam-5262	96	32	.	.	PUNCT
ejpam-5262	97	1	(	(	PUNCT
ejpam-5262	97	2	v	v	NOUN
ejpam-5262	97	3	)	)	PUNCT
ejpam-5262	97	4	dealer	dealer	NOUN
ejpam-5262	97	5	send	send	VERB
ejpam-5262	97	6	the	the	DET
ejpam-5262	97	7	corresponding	correspond	VERB
ejpam-5262	97	8	share	share	NOUN
ejpam-5262	97	9	(	(	PUNCT
ejpam-5262	97	10	xi	xi	PROPN
ejpam-5262	97	11	,	,	PUNCT
ejpam-5262	97	12	y(t	y(t	PROPN
ejpam-5262	97	13	,	,	PUNCT
ejpam-5262	97	14	i	i	NOUN
ejpam-5262	97	15	)	)	PUNCT
ejpam-5262	97	16	)	)	PUNCT
ejpam-5262	98	1	=	=	PRON
ejpam-5262	98	2	(	(	PUNCT
ejpam-5262	98	3	xi	xi	PROPN
ejpam-5262	98	4	,	,	PUNCT
ejpam-5262	98	5	ft(xi	ft(xi	PROPN
ejpam-5262	98	6	)	)	PUNCT
ejpam-5262	98	7	)	)	PUNCT
ejpam-5262	98	8	to	to	ADP
ejpam-5262	98	9	each	each	DET
ejpam-5262	98	10	participants	participant	NOUN
ejpam-5262	98	11	privately	privately	ADV
ejpam-5262	98	12	.	.	PUNCT
ejpam-5262	99	1	3.3	3.3	NUM
ejpam-5262	99	2	.	.	PUNCT
ejpam-5262	100	1	secret	secret	ADJ
ejpam-5262	100	2	reconstruction	reconstruction	NOUN
ejpam-5262	100	3	phase	phase	NOUN
ejpam-5262	100	4	(	(	PUNCT
ejpam-5262	100	5	i	i	NOUN
ejpam-5262	100	6	)	)	PUNCT
ejpam-5262	100	7	the	the	DET
ejpam-5262	100	8	collected	collect	VERB
ejpam-5262	100	9	participants	participant	NOUN
ejpam-5262	100	10	have	have	VERB
ejpam-5262	100	11	information	information	NOUN
ejpam-5262	100	12	about	about	ADP
ejpam-5262	100	13	r	r	PROPN
ejpam-5262	100	14	,	,	PUNCT
ejpam-5262	100	15	σ	σ	PROPN
ejpam-5262	100	16	,	,	PUNCT
ejpam-5262	100	17	n	n	CCONJ
ejpam-5262	100	18	,	,	PUNCT
ejpam-5262	100	19	k	k	PROPN
ejpam-5262	100	20	and	and	CCONJ
ejpam-5262	100	21	t.	t.	PROPN
ejpam-5262	100	22	(	(	PUNCT
ejpam-5262	100	23	ii	ii	NOUN
ejpam-5262	100	24	)	)	PUNCT
ejpam-5262	100	25	initial	initial	ADJ
ejpam-5262	100	26	threshold	threshold	NOUN
ejpam-5262	100	27	is	be	AUX
ejpam-5262	100	28	k	k	PROPN
ejpam-5262	100	29	,	,	PUNCT
ejpam-5262	100	30	since	since	SCONJ
ejpam-5262	100	31	the	the	DET
ejpam-5262	100	32	number	number	NOUN
ejpam-5262	100	33	of	of	ADP
ejpam-5262	100	34	collected	collect	VERB
ejpam-5262	100	35	participant	participant	NOUN
ejpam-5262	100	36	t	t	PROPN
ejpam-5262	100	37	≤	≤	PROPN
ejpam-5262	100	38	k.	k.	PROPN
ejpam-5262	101	1	if	if	SCONJ
ejpam-5262	101	2	the	the	DET
ejpam-5262	101	3	number	number	NOUN
ejpam-5262	101	4	of	of	ADP
ejpam-5262	101	5	collected	collect	VERB
ejpam-5262	101	6	participant	participant	NOUN
ejpam-5262	101	7	t	t	PROPN
ejpam-5262	101	8	>	>	X
ejpam-5262	101	9	k	k	X
ejpam-5262	101	10	,	,	PUNCT
ejpam-5262	101	11	the	the	DET
ejpam-5262	101	12	threshold	threshold	NOUN
ejpam-5262	101	13	change	change	NOUN
ejpam-5262	101	14	from	from	ADP
ejpam-5262	101	15	k	k	PROPN
ejpam-5262	101	16	to	to	ADP
ejpam-5262	101	17	t.	t.	PROPN
ejpam-5262	101	18	a.	a.	PROPN
ejpam-5262	101	19	wijaya	wijaya	PROPN
ejpam-5262	101	20	,	,	PUNCT
ejpam-5262	101	21	i.	i.	PROPN
ejpam-5262	101	22	muchtadi	muchtadi	PROPN
ejpam-5262	101	23	alamsyah	alamsyah	PROPN
ejpam-5262	101	24	,	,	PUNCT
ejpam-5262	101	25	a.	a.	NOUN
ejpam-5262	101	26	barra	barra	PROPN
ejpam-5262	101	27	/	/	SYM
ejpam-5262	101	28	eur	eur	PROPN
ejpam-5262	101	29	.	.	PUNCT
ejpam-5262	102	1	j.	j.	PROPN
ejpam-5262	102	2	pure	pure	PROPN
ejpam-5262	102	3	appl	appl	PROPN
ejpam-5262	102	4	.	.	PROPN
ejpam-5262	102	5	math	math	PROPN
ejpam-5262	102	6	,	,	PUNCT
ejpam-5262	102	7	17	17	NUM
ejpam-5262	102	8	(	(	PUNCT
ejpam-5262	102	9	3	3	NUM
ejpam-5262	102	10	)	)	PUNCT
ejpam-5262	102	11	(	(	PUNCT
ejpam-5262	102	12	2024	2024	NUM
ejpam-5262	102	13	)	)	PUNCT
ejpam-5262	102	14	,	,	PUNCT
ejpam-5262	102	15	1751	1751	NUM
ejpam-5262	102	16	-	-	SYM
ejpam-5262	102	17	1761	1761	NUM
ejpam-5262	102	18	1755	1755	NUM
ejpam-5262	102	19	(	(	PUNCT
ejpam-5262	102	20	iii	iii	X
ejpam-5262	102	21	)	)	PUNCT
ejpam-5262	102	22	participants	participant	NOUN
ejpam-5262	102	23	collect	collect	VERB
ejpam-5262	102	24	their	their	PRON
ejpam-5262	102	25	share	share	NOUN
ejpam-5262	102	26	(	(	PUNCT
ejpam-5262	102	27	xi	xi	PROPN
ejpam-5262	102	28	,	,	PUNCT
ejpam-5262	102	29	y(t	y(t	PROPN
ejpam-5262	102	30	,	,	PUNCT
ejpam-5262	102	31	i	i	NOUN
ejpam-5262	102	32	)	)	PUNCT
ejpam-5262	102	33	)	)	PUNCT
ejpam-5262	103	1	corresponding	correspond	VERB
ejpam-5262	103	2	the	the	DET
ejpam-5262	103	3	value	value	NOUN
ejpam-5262	103	4	of	of	ADP
ejpam-5262	103	5	current	current	ADJ
ejpam-5262	103	6	threshold	threshold	NOUN
ejpam-5262	103	7	,	,	PUNCT
ejpam-5262	103	8	assume	assume	VERB
ejpam-5262	103	9	t	t	PROPN
ejpam-5262	103	10	is	be	AUX
ejpam-5262	103	11	current	current	ADJ
ejpam-5262	103	12	threshold	threshold	NOUN
ejpam-5262	103	13	.	.	PUNCT
ejpam-5262	104	1	(	(	PUNCT
ejpam-5262	104	2	iv	iv	X
ejpam-5262	104	3	)	)	PUNCT
ejpam-5262	104	4	participants	participant	NOUN
ejpam-5262	104	5	interpolate	interpolate	VERB
ejpam-5262	104	6	the	the	DET
ejpam-5262	104	7	collected	collect	VERB
ejpam-5262	104	8	shares	share	NOUN
ejpam-5262	104	9	(	(	PUNCT
ejpam-5262	104	10	xi	xi	PROPN
ejpam-5262	104	11	,	,	PUNCT
ejpam-5262	104	12	y(t	y(t	PROPN
ejpam-5262	104	13	,	,	PUNCT
ejpam-5262	104	14	i	i	NOUN
ejpam-5262	104	15	)	)	PUNCT
ejpam-5262	104	16	)	)	PUNCT
ejpam-5262	104	17	by	by	ADP
ejpam-5262	104	18	skew	skew	ADJ
ejpam-5262	104	19	polynomials	polynomial	NOUN
ejpam-5262	104	20	lagrange	lagrange	NOUN
ejpam-5262	104	21	interpolation	interpolation	NOUN
ejpam-5262	104	22	method	method	NOUN
ejpam-5262	104	23	.	.	PUNCT
ejpam-5262	104	24	ft(x	ft(x	NOUN
ejpam-5262	104	25	)	)	PUNCT
ejpam-5262	105	1	=	=	PUNCT
ejpam-5262	106	1	t∑	t∑	PROPN
ejpam-5262	106	2	i=1	i=1	X
ejpam-5262	106	3	y(t	y(t	PROPN
ejpam-5262	106	4	,	,	PUNCT
ejpam-5262	106	5	i)(li(xi	i)(li(xi	NOUN
ejpam-5262	106	6	)	)	PUNCT
ejpam-5262	106	7	−1li(x	−1li(x	PROPN
ejpam-5262	106	8	)	)	PUNCT
ejpam-5262	106	9	)	)	PUNCT
ejpam-5262	106	10	with	with	ADP
ejpam-5262	106	11	li(x	li(x	NUM
ejpam-5262	106	12	)	)	PUNCT
ejpam-5262	106	13	is	be	AUX
ejpam-5262	106	14	monic	monic	ADJ
ejpam-5262	106	15	minimal	minimal	ADJ
ejpam-5262	106	16	polynomial	polynomial	ADJ
ejpam-5262	106	17	such	such	ADJ
ejpam-5262	106	18	that	that	PRON
ejpam-5262	106	19	li(xj	li(xj	ADJ
ejpam-5262	106	20	)	)	PUNCT
ejpam-5262	107	1	=	=	SYM
ejpam-5262	107	2	0	0	PUNCT
ejpam-5262	108	1	for	for	SCONJ
ejpam-5262	108	2	i	i	PROPN
ejpam-5262	108	3	̸=	̸=	PROPN
ejpam-5262	108	4	j.	j.	PROPN
ejpam-5262	108	5	(	(	PUNCT
ejpam-5262	108	6	v	v	NOUN
ejpam-5262	108	7	)	)	PUNCT
ejpam-5262	108	8	evaluate	evaluate	VERB
ejpam-5262	108	9	ft(0	ft(0	PROPN
ejpam-5262	108	10	)	)	PUNCT
ejpam-5262	109	1	=	=	SYM
ejpam-5262	109	2	s	s	NOUN
ejpam-5262	109	3	as	as	ADP
ejpam-5262	109	4	the	the	DET
ejpam-5262	109	5	secret	secret	NOUN
ejpam-5262	109	6	.	.	PUNCT
ejpam-5262	110	1	3.4	3.4	NUM
ejpam-5262	110	2	.	.	PUNCT
ejpam-5262	110	3	example	example	NOUN
ejpam-5262	110	4	let	let	VERB
ejpam-5262	110	5	a	a	DET
ejpam-5262	110	6	dealer	dealer	NOUN
ejpam-5262	110	7	and	and	CCONJ
ejpam-5262	110	8	set	set	NOUN
ejpam-5262	110	9	of	of	ADP
ejpam-5262	110	10	participant	participant	NOUN
ejpam-5262	110	11	=	=	SYM
ejpam-5262	110	12	{	{	PUNCT
ejpam-5262	110	13	p1	p1	PROPN
ejpam-5262	110	14	,	,	PUNCT
ejpam-5262	110	15	p2	p2	NOUN
ejpam-5262	110	16	,	,	PUNCT
ejpam-5262	110	17	p3	p3	PROPN
ejpam-5262	110	18	}	}	PUNCT
ejpam-5262	110	19	.	.	PUNCT
ejpam-5262	111	1	number	number	NOUN
ejpam-5262	111	2	of	of	ADP
ejpam-5262	111	3	participants	participant	NOUN
ejpam-5262	111	4	=	=	SYM
ejpam-5262	111	5	n	n	NOUN
ejpam-5262	111	6	=	=	SYM
ejpam-5262	111	7	3	3	X
ejpam-5262	111	8	.	.	PUNCT
ejpam-5262	111	9	dealer	dealer	NOUN
ejpam-5262	111	10	determine	determine	VERB
ejpam-5262	111	11	initial	initial	ADJ
ejpam-5262	111	12	threshold	threshold	NOUN
ejpam-5262	111	13	k	k	NOUN
ejpam-5262	111	14	=	=	SYM
ejpam-5262	111	15	2	2	NUM
ejpam-5262	111	16	and	and	CCONJ
ejpam-5262	111	17	secret	secret	ADJ
ejpam-5262	111	18	=	=	SYM
ejpam-5262	111	19	s	s	NOUN
ejpam-5262	111	20	=	=	SYM
ejpam-5262	111	21	5	5	NUM
ejpam-5262	111	22	+	+	CCONJ
ejpam-5262	111	23	5i	5i	NUM
ejpam-5262	111	24	∈	∈	PROPN
ejpam-5262	111	25	c.	c.	NOUN
ejpam-5262	111	26	dealer	dealer	NOUN
ejpam-5262	111	27	construct	construct	VERB
ejpam-5262	111	28	initial	initial	ADJ
ejpam-5262	111	29	polynomial	polynomial	NOUN
ejpam-5262	111	30	for	for	ADP
ejpam-5262	111	31	k	k	PROPN
ejpam-5262	111	32	=	=	SYM
ejpam-5262	111	33	2	2	NUM
ejpam-5262	111	34	:	:	PUNCT
ejpam-5262	111	35	f2(x	f2(x	NUM
ejpam-5262	111	36	)	)	PUNCT
ejpam-5262	111	37	=	=	NOUN
ejpam-5262	112	1	(	(	PUNCT
ejpam-5262	112	2	5	5	NUM
ejpam-5262	112	3	+	+	CCONJ
ejpam-5262	112	4	5i	5i	NUM
ejpam-5262	112	5	)	)	PUNCT
ejpam-5262	113	1	+	+	CCONJ
ejpam-5262	113	2	(	(	PUNCT
ejpam-5262	113	3	1−	1−	NUM
ejpam-5262	113	4	i)x	i)x	ADJ
ejpam-5262	113	5	dealer	dealer	NOUN
ejpam-5262	113	6	determine	determine	NOUN
ejpam-5262	113	7	xi	xi	ADP
ejpam-5262	113	8	value	value	NOUN
ejpam-5262	113	9	for	for	ADP
ejpam-5262	113	10	participant	participant	ADJ
ejpam-5262	113	11	share	share	NOUN
ejpam-5262	113	12	:	:	PUNCT
ejpam-5262	114	1	x1	x1	PROPN
ejpam-5262	114	2	=	=	NOUN
ejpam-5262	114	3	1	1	X
ejpam-5262	114	4	+	+	CCONJ
ejpam-5262	114	5	i	i	PRON
ejpam-5262	114	6	,	,	PUNCT
ejpam-5262	114	7	x2	x2	PROPN
ejpam-5262	114	8	=	=	NOUN
ejpam-5262	114	9	1	1	NUM
ejpam-5262	114	10	+	+	NUM
ejpam-5262	114	11	2i	2i	NUM
ejpam-5262	114	12	,	,	PUNCT
ejpam-5262	114	13	x3	x3	ADJ
ejpam-5262	114	14	=	=	SYM
ejpam-5262	114	15	1	1	NUM
ejpam-5262	114	16	+	+	NUM
ejpam-5262	114	17	3i	3i	NUM
ejpam-5262	114	18	evaluate	evaluate	VERB
ejpam-5262	114	19	xi	xi	ADP
ejpam-5262	114	20	value	value	NOUN
ejpam-5262	114	21	on	on	ADP
ejpam-5262	114	22	f2(x	f2(x	PROPN
ejpam-5262	114	23	)	)	PUNCT
ejpam-5262	114	24	using	use	VERB
ejpam-5262	114	25	skew	skew	ADJ
ejpam-5262	114	26	polynomials	polynomial	NOUN
ejpam-5262	114	27	evaluation	evaluation	NOUN
ejpam-5262	114	28	method	method	NOUN
ejpam-5262	114	29	:	:	PUNCT
ejpam-5262	114	30	f2(1	f2(1	NOUN
ejpam-5262	114	31	+	+	CCONJ
ejpam-5262	114	32	i	i	NOUN
ejpam-5262	114	33	)	)	PUNCT
ejpam-5262	114	34	=	=	PUNCT
ejpam-5262	114	35	(	(	PUNCT
ejpam-5262	114	36	5	5	NUM
ejpam-5262	114	37	+	+	NUM
ejpam-5262	114	38	5i)n0(1	5i)n0(1	NOUN
ejpam-5262	114	39	+	+	CCONJ
ejpam-5262	114	40	i	i	NOUN
ejpam-5262	114	41	)	)	PUNCT
ejpam-5262	115	1	+	+	CCONJ
ejpam-5262	115	2	(	(	PUNCT
ejpam-5262	115	3	1−	1−	NUM
ejpam-5262	115	4	i)n1(1	i)n1(1	PROPN
ejpam-5262	115	5	+	+	PROPN
ejpam-5262	115	6	i	i	NOUN
ejpam-5262	115	7	)	)	PUNCT
ejpam-5262	116	1	=	=	PUNCT
ejpam-5262	116	2	(	(	PUNCT
ejpam-5262	116	3	5	5	NUM
ejpam-5262	116	4	+	+	CCONJ
ejpam-5262	116	5	5i	5i	NUM
ejpam-5262	116	6	)	)	PUNCT
ejpam-5262	116	7	·	·	PUNCT
ejpam-5262	116	8	1	1	NUM
ejpam-5262	117	1	+	+	CCONJ
ejpam-5262	117	2	(	(	PUNCT
ejpam-5262	117	3	1−	1−	NUM
ejpam-5262	117	4	i)σ(n0(1	i)σ(n0(1	NOUN
ejpam-5262	117	5	+	+	CCONJ
ejpam-5262	117	6	i	i	NOUN
ejpam-5262	117	7	)	)	PUNCT
ejpam-5262	117	8	)	)	PUNCT
ejpam-5262	117	9	·	·	PUNCT
ejpam-5262	118	1	(	(	PUNCT
ejpam-5262	118	2	1	1	X
ejpam-5262	118	3	+	+	CCONJ
ejpam-5262	118	4	i	i	NOUN
ejpam-5262	118	5	)	)	PUNCT
ejpam-5262	119	1	=	=	PUNCT
ejpam-5262	119	2	(	(	PUNCT
ejpam-5262	119	3	5	5	NUM
ejpam-5262	119	4	+	+	CCONJ
ejpam-5262	119	5	5i	5i	NUM
ejpam-5262	119	6	)	)	PUNCT
ejpam-5262	120	1	+	+	CCONJ
ejpam-5262	120	2	(	(	PUNCT
ejpam-5262	120	3	1−	1−	NUM
ejpam-5262	120	4	i)(1	i)(1	ADP
ejpam-5262	120	5	+	+	CCONJ
ejpam-5262	120	6	i	i	NOUN
ejpam-5262	120	7	)	)	PUNCT
ejpam-5262	120	8	=	=	PUNCT
ejpam-5262	120	9	7	7	NUM
ejpam-5262	120	10	+	+	NUM
ejpam-5262	120	11	5i	5i	NUM
ejpam-5262	120	12	,	,	PUNCT
ejpam-5262	120	13	f2(1	f2(1	NOUN
ejpam-5262	120	14	+	+	NOUN
ejpam-5262	120	15	2i	2i	NUM
ejpam-5262	120	16	)	)	PUNCT
ejpam-5262	121	1	=	=	NOUN
ejpam-5262	121	2	(	(	PUNCT
ejpam-5262	121	3	5	5	NUM
ejpam-5262	121	4	+	+	NUM
ejpam-5262	121	5	5i)n0(1	5i)n0(1	ADJ
ejpam-5262	121	6	+	+	CCONJ
ejpam-5262	121	7	2i	2i	NUM
ejpam-5262	121	8	)	)	PUNCT
ejpam-5262	122	1	+	+	CCONJ
ejpam-5262	122	2	(	(	PUNCT
ejpam-5262	122	3	1−	1−	NUM
ejpam-5262	122	4	i)n1(1	i)n1(1	PROPN
ejpam-5262	122	5	+	+	NUM
ejpam-5262	122	6	2i	2i	NUM
ejpam-5262	122	7	)	)	PUNCT
ejpam-5262	123	1	=	=	SYM
ejpam-5262	123	2	(	(	PUNCT
ejpam-5262	123	3	5	5	NUM
ejpam-5262	123	4	+	+	CCONJ
ejpam-5262	123	5	5i	5i	NUM
ejpam-5262	123	6	)	)	PUNCT
ejpam-5262	123	7	·	·	PUNCT
ejpam-5262	123	8	1	1	NUM
ejpam-5262	124	1	+	+	CCONJ
ejpam-5262	124	2	(	(	PUNCT
ejpam-5262	124	3	1−	1−	NUM
ejpam-5262	124	4	i)σ(n0(1	i)σ(n0(1	NOUN
ejpam-5262	124	5	+	+	CCONJ
ejpam-5262	124	6	2i	2i	NUM
ejpam-5262	124	7	)	)	PUNCT
ejpam-5262	124	8	)	)	PUNCT
ejpam-5262	124	9	·	·	PUNCT
ejpam-5262	125	1	(	(	PUNCT
ejpam-5262	125	2	1	1	NUM
ejpam-5262	125	3	+	+	NUM
ejpam-5262	125	4	2i	2i	NUM
ejpam-5262	125	5	)	)	PUNCT
ejpam-5262	126	1	=	=	SYM
ejpam-5262	126	2	(	(	PUNCT
ejpam-5262	126	3	5	5	NUM
ejpam-5262	126	4	+	+	CCONJ
ejpam-5262	126	5	5i	5i	NUM
ejpam-5262	126	6	)	)	PUNCT
ejpam-5262	126	7	+	+	CCONJ
ejpam-5262	126	8	(	(	PUNCT
ejpam-5262	126	9	1−	1−	NUM
ejpam-5262	126	10	i)(1	i)(1	ADP
ejpam-5262	126	11	+	+	CCONJ
ejpam-5262	126	12	2i	2i	NUM
ejpam-5262	126	13	)	)	PUNCT
ejpam-5262	126	14	=	=	SYM
ejpam-5262	126	15	8	8	NUM
ejpam-5262	126	16	+	+	NUM
ejpam-5262	126	17	6i	6i	NUM
ejpam-5262	126	18	,	,	PUNCT
ejpam-5262	126	19	f2(1	f2(1	NOUN
ejpam-5262	126	20	+	+	NOUN
ejpam-5262	126	21	3i	3i	NUM
ejpam-5262	126	22	)	)	PUNCT
ejpam-5262	126	23	=	=	PUNCT
ejpam-5262	126	24	(	(	PUNCT
ejpam-5262	126	25	5	5	NUM
ejpam-5262	126	26	+	+	NUM
ejpam-5262	126	27	5i)n0(1	5i)n0(1	ADJ
ejpam-5262	126	28	+	+	NUM
ejpam-5262	126	29	3i	3i	NOUN
ejpam-5262	126	30	)	)	PUNCT
ejpam-5262	127	1	+	+	CCONJ
ejpam-5262	127	2	(	(	PUNCT
ejpam-5262	127	3	1−	1−	NUM
ejpam-5262	127	4	i)n1(1	i)n1(1	ADJ
ejpam-5262	127	5	+	+	NUM
ejpam-5262	127	6	3i	3i	NUM
ejpam-5262	127	7	)	)	PUNCT
ejpam-5262	127	8	=	=	PUNCT
ejpam-5262	127	9	(	(	PUNCT
ejpam-5262	127	10	5	5	NUM
ejpam-5262	127	11	+	+	CCONJ
ejpam-5262	127	12	5i	5i	NUM
ejpam-5262	127	13	)	)	PUNCT
ejpam-5262	127	14	·	·	PUNCT
ejpam-5262	127	15	1	1	NUM
ejpam-5262	128	1	+	+	CCONJ
ejpam-5262	128	2	(	(	PUNCT
ejpam-5262	128	3	1−	1−	NUM
ejpam-5262	128	4	i)σ(n0(1	i)σ(n0(1	NOUN
ejpam-5262	128	5	+	+	CCONJ
ejpam-5262	128	6	3i	3i	NUM
ejpam-5262	128	7	)	)	PUNCT
ejpam-5262	128	8	)	)	PUNCT
ejpam-5262	128	9	·	·	PUNCT
ejpam-5262	129	1	(	(	PUNCT
ejpam-5262	129	2	1	1	NUM
ejpam-5262	129	3	+	+	NUM
ejpam-5262	129	4	3i	3i	NOUN
ejpam-5262	129	5	)	)	PUNCT
ejpam-5262	129	6	=	=	PUNCT
ejpam-5262	129	7	(	(	PUNCT
ejpam-5262	129	8	5	5	NUM
ejpam-5262	129	9	+	+	CCONJ
ejpam-5262	129	10	5i	5i	NUM
ejpam-5262	129	11	)	)	PUNCT
ejpam-5262	130	1	+	+	CCONJ
ejpam-5262	130	2	(	(	PUNCT
ejpam-5262	130	3	1−	1−	NUM
ejpam-5262	130	4	i)(1	i)(1	X
ejpam-5262	130	5	+	+	ADJ
ejpam-5262	130	6	3i	3i	NOUN
ejpam-5262	130	7	)	)	PUNCT
ejpam-5262	130	8	=	=	SYM
ejpam-5262	130	9	9	9	NUM
ejpam-5262	130	10	+	+	NUM
ejpam-5262	130	11	7i	7i	NUM
ejpam-5262	130	12	.	.	PUNCT
ejpam-5262	131	1	dealer	dealer	NOUN
ejpam-5262	131	2	construct	construct	VERB
ejpam-5262	131	3	polynomial	polynomial	NOUN
ejpam-5262	131	4	for	for	ADP
ejpam-5262	131	5	k	k	PROPN
ejpam-5262	131	6	=	=	SYM
ejpam-5262	131	7	3	3	NUM
ejpam-5262	131	8	:	:	PUNCT
ejpam-5262	131	9	f3(x	f3(x	NUM
ejpam-5262	131	10	)	)	PUNCT
ejpam-5262	131	11	=	=	SYM
ejpam-5262	132	1	(	(	PUNCT
ejpam-5262	132	2	5	5	NUM
ejpam-5262	132	3	+	+	CCONJ
ejpam-5262	132	4	5i	5i	NUM
ejpam-5262	132	5	)	)	PUNCT
ejpam-5262	133	1	+	+	CCONJ
ejpam-5262	133	2	(	(	PUNCT
ejpam-5262	133	3	1−	1−	NUM
ejpam-5262	133	4	2i)x+	2i)x+	NUM
ejpam-5262	133	5	(	(	PUNCT
ejpam-5262	133	6	2−	2−	NUM
ejpam-5262	133	7	i)x2	i)x2	PROPN
ejpam-5262	133	8	a.	a.	NOUN
ejpam-5262	133	9	wijaya	wijaya	PROPN
ejpam-5262	133	10	,	,	PUNCT
ejpam-5262	133	11	i.	i.	PROPN
ejpam-5262	133	12	muchtadi	muchtadi	PROPN
ejpam-5262	133	13	alamsyah	alamsyah	PROPN
ejpam-5262	133	14	,	,	PUNCT
ejpam-5262	133	15	a.	a.	NOUN
ejpam-5262	133	16	barra	barra	PROPN
ejpam-5262	133	17	/	/	SYM
ejpam-5262	133	18	eur	eur	PROPN
ejpam-5262	133	19	.	.	PUNCT
ejpam-5262	134	1	j.	j.	PROPN
ejpam-5262	134	2	pure	pure	PROPN
ejpam-5262	134	3	appl	appl	PROPN
ejpam-5262	134	4	.	.	PROPN
ejpam-5262	134	5	math	math	PROPN
ejpam-5262	134	6	,	,	PUNCT
ejpam-5262	134	7	17	17	NUM
ejpam-5262	134	8	(	(	PUNCT
ejpam-5262	134	9	3	3	NUM
ejpam-5262	134	10	)	)	PUNCT
ejpam-5262	134	11	(	(	PUNCT
ejpam-5262	134	12	2024	2024	NUM
ejpam-5262	134	13	)	)	PUNCT
ejpam-5262	134	14	,	,	PUNCT
ejpam-5262	134	15	1751	1751	NUM
ejpam-5262	134	16	-	-	SYM
ejpam-5262	134	17	1761	1761	NUM
ejpam-5262	134	18	1756	1756	NUM
ejpam-5262	134	19	evaluate	evaluate	VERB
ejpam-5262	134	20	xi	xi	ADP
ejpam-5262	134	21	value	value	NOUN
ejpam-5262	134	22	on	on	ADP
ejpam-5262	134	23	f3(x	f3(x	NOUN
ejpam-5262	134	24	)	)	PUNCT
ejpam-5262	134	25	using	use	VERB
ejpam-5262	134	26	skew	skew	ADJ
ejpam-5262	134	27	polynomials	polynomial	NOUN
ejpam-5262	134	28	evaluation	evaluation	NOUN
ejpam-5262	134	29	method	method	NOUN
ejpam-5262	134	30	:	:	PUNCT
ejpam-5262	134	31	f3(1	f3(1	PROPN
ejpam-5262	134	32	+	+	CCONJ
ejpam-5262	134	33	i	i	NOUN
ejpam-5262	134	34	)	)	PUNCT
ejpam-5262	135	1	=	=	PUNCT
ejpam-5262	136	1	(	(	PUNCT
ejpam-5262	136	2	5	5	NUM
ejpam-5262	136	3	+	+	NUM
ejpam-5262	136	4	5i)n0(1	5i)n0(1	NOUN
ejpam-5262	136	5	+	+	CCONJ
ejpam-5262	136	6	i	i	NOUN
ejpam-5262	136	7	)	)	PUNCT
ejpam-5262	137	1	+	+	CCONJ
ejpam-5262	137	2	(	(	PUNCT
ejpam-5262	137	3	1−	1−	NUM
ejpam-5262	137	4	2i)n1(1	2i)n1(1	NOUN
ejpam-5262	137	5	+	+	X
ejpam-5262	137	6	i	i	NOUN
ejpam-5262	137	7	)	)	PUNCT
ejpam-5262	138	1	+	+	CCONJ
ejpam-5262	138	2	(	(	PUNCT
ejpam-5262	138	3	2−	2−	NUM
ejpam-5262	138	4	i)n2(1	i)n2(1	NOUN
ejpam-5262	138	5	+	+	CCONJ
ejpam-5262	138	6	i	i	NOUN
ejpam-5262	138	7	)	)	PUNCT
ejpam-5262	139	1	=	=	PUNCT
ejpam-5262	140	1	10	10	NUM
ejpam-5262	140	2	+	+	NUM
ejpam-5262	140	3	4i	4i	NUM
ejpam-5262	140	4	,	,	PUNCT
ejpam-5262	140	5	f3(1	f3(1	PROPN
ejpam-5262	140	6	+	+	NUM
ejpam-5262	140	7	2i	2i	NUM
ejpam-5262	140	8	)	)	PUNCT
ejpam-5262	141	1	=	=	NOUN
ejpam-5262	141	2	(	(	PUNCT
ejpam-5262	141	3	5	5	NUM
ejpam-5262	141	4	+	+	NUM
ejpam-5262	141	5	5i)n0(1	5i)n0(1	ADJ
ejpam-5262	141	6	+	+	CCONJ
ejpam-5262	141	7	2i	2i	NUM
ejpam-5262	141	8	)	)	PUNCT
ejpam-5262	142	1	+	+	CCONJ
ejpam-5262	142	2	(	(	PUNCT
ejpam-5262	142	3	1−	1−	NUM
ejpam-5262	142	4	2i)n1(1	2i)n1(1	NUM
ejpam-5262	142	5	+	+	NOUN
ejpam-5262	142	6	2i	2i	NUM
ejpam-5262	142	7	)	)	PUNCT
ejpam-5262	143	1	+	+	CCONJ
ejpam-5262	143	2	(	(	PUNCT
ejpam-5262	143	3	2−	2−	NUM
ejpam-5262	143	4	i)n2(1	i)n2(1	NOUN
ejpam-5262	143	5	+	+	NOUN
ejpam-5262	143	6	2i	2i	NUM
ejpam-5262	143	7	)	)	PUNCT
ejpam-5262	143	8	=	=	SYM
ejpam-5262	143	9	20	20	NUM
ejpam-5262	143	10	,	,	PUNCT
ejpam-5262	143	11	f3(1	f3(1	PROPN
ejpam-5262	143	12	+	+	NUM
ejpam-5262	143	13	3i	3i	NOUN
ejpam-5262	143	14	)	)	PUNCT
ejpam-5262	143	15	=	=	PUNCT
ejpam-5262	143	16	(	(	PUNCT
ejpam-5262	143	17	5	5	NUM
ejpam-5262	143	18	+	+	NUM
ejpam-5262	143	19	5i)n0(1	5i)n0(1	ADJ
ejpam-5262	143	20	+	+	NUM
ejpam-5262	143	21	3i	3i	NOUN
ejpam-5262	143	22	)	)	PUNCT
ejpam-5262	143	23	+	+	CCONJ
ejpam-5262	143	24	(	(	PUNCT
ejpam-5262	143	25	1−	1−	NUM
ejpam-5262	143	26	2i)n1(1	2i)n1(1	NUM
ejpam-5262	143	27	+	+	NUM
ejpam-5262	143	28	3i	3i	NUM
ejpam-5262	143	29	)	)	PUNCT
ejpam-5262	144	1	+	+	CCONJ
ejpam-5262	144	2	(	(	PUNCT
ejpam-5262	144	3	2−	2−	NUM
ejpam-5262	144	4	i)n2(1	i)n2(1	NOUN
ejpam-5262	144	5	+	+	NUM
ejpam-5262	144	6	3i	3i	NUM
ejpam-5262	144	7	)	)	PUNCT
ejpam-5262	144	8	=	=	SYM
ejpam-5262	144	9	32−	32−	NUM
ejpam-5262	144	10	4i	4i	NOUN
ejpam-5262	144	11	.	.	PUNCT
ejpam-5262	145	1	initial	initial	ADJ
ejpam-5262	145	2	share	share	NOUN
ejpam-5262	145	3	for	for	ADP
ejpam-5262	145	4	participant	participant	NOUN
ejpam-5262	145	5	:	:	PUNCT
ejpam-5262	145	6	(	(	PUNCT
ejpam-5262	145	7	1	1	X
ejpam-5262	145	8	+	+	CCONJ
ejpam-5262	145	9	i	i	PRON
ejpam-5262	145	10	,	,	PUNCT
ejpam-5262	145	11	7	7	NUM
ejpam-5262	145	12	+	+	CCONJ
ejpam-5262	145	13	5i	5i	NUM
ejpam-5262	145	14	)	)	PUNCT
ejpam-5262	145	15	,	,	PUNCT
ejpam-5262	145	16	(	(	PUNCT
ejpam-5262	145	17	1	1	NUM
ejpam-5262	145	18	+	+	NUM
ejpam-5262	145	19	2i	2i	NUM
ejpam-5262	145	20	,	,	PUNCT
ejpam-5262	145	21	8	8	NUM
ejpam-5262	145	22	+	+	NUM
ejpam-5262	145	23	6i	6i	NUM
ejpam-5262	145	24	)	)	PUNCT
ejpam-5262	145	25	,	,	PUNCT
ejpam-5262	145	26	(	(	PUNCT
ejpam-5262	145	27	1	1	NUM
ejpam-5262	145	28	+	+	NUM
ejpam-5262	145	29	3i	3i	NOUN
ejpam-5262	145	30	,	,	PUNCT
ejpam-5262	145	31	9	9	NUM
ejpam-5262	145	32	+	+	CCONJ
ejpam-5262	145	33	7i	7i	NUM
ejpam-5262	145	34	)	)	PUNCT
ejpam-5262	145	35	participant	participant	ADJ
ejpam-5262	145	36	share	share	NOUN
ejpam-5262	145	37	when	when	SCONJ
ejpam-5262	145	38	there	there	PRON
ejpam-5262	145	39	are	be	VERB
ejpam-5262	145	40	3	3	NUM
ejpam-5262	145	41	collected	collect	VERB
ejpam-5262	145	42	participants	participant	NOUN
ejpam-5262	145	43	:	:	PUNCT
ejpam-5262	145	44	(	(	PUNCT
ejpam-5262	145	45	1	1	X
ejpam-5262	145	46	+	+	CCONJ
ejpam-5262	145	47	i	i	NOUN
ejpam-5262	145	48	,	,	PUNCT
ejpam-5262	145	49	10	10	NUM
ejpam-5262	145	50	+	+	CCONJ
ejpam-5262	145	51	4i	4i	NUM
ejpam-5262	145	52	)	)	PUNCT
ejpam-5262	145	53	,	,	PUNCT
ejpam-5262	145	54	(	(	PUNCT
ejpam-5262	145	55	1	1	NUM
ejpam-5262	145	56	+	+	NUM
ejpam-5262	145	57	2i	2i	NUM
ejpam-5262	145	58	,	,	PUNCT
ejpam-5262	145	59	20	20	NUM
ejpam-5262	145	60	)	)	PUNCT
ejpam-5262	145	61	,	,	PUNCT
ejpam-5262	145	62	(	(	PUNCT
ejpam-5262	145	63	1	1	NUM
ejpam-5262	145	64	+	+	NUM
ejpam-5262	145	65	3i	3i	NOUN
ejpam-5262	145	66	,	,	PUNCT
ejpam-5262	145	67	32−	32−	NOUN
ejpam-5262	145	68	4i	4i	NOUN
ejpam-5262	145	69	)	)	PUNCT
ejpam-5262	145	70	that	that	PRON
ejpam-5262	145	71	is	be	AUX
ejpam-5262	145	72	the	the	DET
ejpam-5262	145	73	end	end	NOUN
ejpam-5262	145	74	of	of	ADP
ejpam-5262	145	75	share	share	NOUN
ejpam-5262	145	76	generation	generation	NOUN
ejpam-5262	145	77	phase	phase	NOUN
ejpam-5262	145	78	.	.	PUNCT
ejpam-5262	146	1	next	next	ADJ
ejpam-5262	146	2	step	step	NOUN
ejpam-5262	146	3	is	be	AUX
ejpam-5262	146	4	secret	secret	ADJ
ejpam-5262	146	5	reconstruction	reconstruction	NOUN
ejpam-5262	146	6	phase	phase	NOUN
ejpam-5262	146	7	.	.	PUNCT
ejpam-5262	147	1	for	for	ADP
ejpam-5262	147	2	example	example	NOUN
ejpam-5262	147	3	,	,	PUNCT
ejpam-5262	147	4	there	there	PRON
ejpam-5262	147	5	are	be	VERB
ejpam-5262	147	6	3	3	NUM
ejpam-5262	147	7	participants	participant	NOUN
ejpam-5262	147	8	with	with	ADP
ejpam-5262	147	9	their	their	PRON
ejpam-5262	147	10	own	own	ADJ
ejpam-5262	147	11	collected	collect	VERB
ejpam-5262	147	12	share	share	NOUN
ejpam-5262	147	13	:	:	PUNCT
ejpam-5262	147	14	p1	p1	NOUN
ejpam-5262	147	15	:	:	PUNCT
ejpam-5262	147	16	(	(	PUNCT
ejpam-5262	147	17	1	1	X
ejpam-5262	147	18	+	+	CCONJ
ejpam-5262	147	19	i	i	PRON
ejpam-5262	147	20	,	,	PUNCT
ejpam-5262	147	21	7	7	NUM
ejpam-5262	147	22	+	+	CCONJ
ejpam-5262	147	23	5i	5i	NUM
ejpam-5262	147	24	)	)	PUNCT
ejpam-5262	147	25	,	,	PUNCT
ejpam-5262	147	26	(	(	PUNCT
ejpam-5262	147	27	1	1	X
ejpam-5262	148	1	+	+	CCONJ
ejpam-5262	148	2	i	i	NOUN
ejpam-5262	148	3	,	,	PUNCT
ejpam-5262	148	4	10	10	NUM
ejpam-5262	148	5	+	+	CCONJ
ejpam-5262	148	6	4i	4i	NUM
ejpam-5262	148	7	)	)	PUNCT
ejpam-5262	148	8	p2	p2	PROPN
ejpam-5262	148	9	:	:	PUNCT
ejpam-5262	148	10	(	(	PUNCT
ejpam-5262	148	11	1	1	NUM
ejpam-5262	148	12	+	+	NUM
ejpam-5262	148	13	2i	2i	NUM
ejpam-5262	148	14	,	,	PUNCT
ejpam-5262	148	15	8	8	NUM
ejpam-5262	148	16	+	+	NUM
ejpam-5262	148	17	6i	6i	NUM
ejpam-5262	148	18	)	)	PUNCT
ejpam-5262	148	19	,	,	PUNCT
ejpam-5262	148	20	(	(	PUNCT
ejpam-5262	148	21	1	1	NUM
ejpam-5262	148	22	+	+	NUM
ejpam-5262	148	23	2i	2i	NUM
ejpam-5262	148	24	,	,	PUNCT
ejpam-5262	148	25	20	20	NUM
ejpam-5262	148	26	)	)	PUNCT
ejpam-5262	148	27	p3	p3	NOUN
ejpam-5262	148	28	:	:	PUNCT
ejpam-5262	148	29	(	(	PUNCT
ejpam-5262	148	30	1	1	NUM
ejpam-5262	148	31	+	+	NUM
ejpam-5262	148	32	3i	3i	NOUN
ejpam-5262	148	33	,	,	PUNCT
ejpam-5262	148	34	9	9	NUM
ejpam-5262	148	35	+	+	NUM
ejpam-5262	148	36	7i	7i	NUM
ejpam-5262	148	37	)	)	PUNCT
ejpam-5262	148	38	,	,	PUNCT
ejpam-5262	148	39	(	(	PUNCT
ejpam-5262	148	40	1	1	NUM
ejpam-5262	148	41	+	+	NUM
ejpam-5262	148	42	3i	3i	NOUN
ejpam-5262	148	43	,	,	PUNCT
ejpam-5262	148	44	32−	32−	NOUN
ejpam-5262	148	45	4i	4i	NOUN
ejpam-5262	148	46	)	)	PUNCT
ejpam-5262	148	47	the	the	DET
ejpam-5262	148	48	initial	initial	ADJ
ejpam-5262	148	49	threshold	threshold	NOUN
ejpam-5262	148	50	is	be	AUX
ejpam-5262	148	51	k	k	NOUN
ejpam-5262	148	52	=	=	SYM
ejpam-5262	148	53	2	2	NUM
ejpam-5262	148	54	.	.	PUNCT
ejpam-5262	148	55	because	because	SCONJ
ejpam-5262	148	56	three	three	NUM
ejpam-5262	148	57	participant	participant	NOUN
ejpam-5262	148	58	are	be	AUX
ejpam-5262	148	59	collected	collect	VERB
ejpam-5262	148	60	,	,	PUNCT
ejpam-5262	148	61	the	the	DET
ejpam-5262	148	62	threshold	threshold	NOUN
ejpam-5262	148	63	changes	change	VERB
ejpam-5262	148	64	to	to	ADP
ejpam-5262	148	65	k	k	PROPN
ejpam-5262	148	66	=	=	SYM
ejpam-5262	148	67	3	3	X
ejpam-5262	148	68	.	.	X
ejpam-5262	148	69	reconstruct	reconstruct	VERB
ejpam-5262	148	70	secret	secret	ADJ
ejpam-5262	148	71	using	use	VERB
ejpam-5262	148	72	skew	skew	ADJ
ejpam-5262	148	73	polynomials	polynomial	NOUN
ejpam-5262	148	74	lagrange	lagrange	NOUN
ejpam-5262	148	75	interpolation	interpolation	NOUN
ejpam-5262	148	76	:	:	PUNCT
ejpam-5262	148	77	f3(x	f3(x	X
ejpam-5262	148	78	)	)	PUNCT
ejpam-5262	148	79	=	=	SYM
ejpam-5262	148	80	3∑	3∑	NUM
ejpam-5262	148	81	j=1	j=1	NOUN
ejpam-5262	148	82	yjlj(xj	yjlj(xj	ADJ
ejpam-5262	148	83	)	)	PUNCT
ejpam-5262	148	84	−1lj(x	−1lj(x	NOUN
ejpam-5262	148	85	)	)	PUNCT
ejpam-5262	148	86	assume	assume	VERB
ejpam-5262	148	87	:	:	PUNCT
ejpam-5262	149	1	x1	x1	PROPN
ejpam-5262	149	2	=	=	SYM
ejpam-5262	149	3	1	1	X
ejpam-5262	149	4	+	+	CCONJ
ejpam-5262	149	5	i	i	PRON
ejpam-5262	149	6	,	,	PUNCT
ejpam-5262	149	7	x2	x2	PROPN
ejpam-5262	149	8	=	=	NOUN
ejpam-5262	149	9	1	1	NUM
ejpam-5262	149	10	+	+	NUM
ejpam-5262	149	11	2i	2i	NUM
ejpam-5262	149	12	,	,	PUNCT
ejpam-5262	149	13	x3	x3	ADJ
ejpam-5262	149	14	=	=	SYM
ejpam-5262	149	15	1	1	NUM
ejpam-5262	149	16	+	+	NUM
ejpam-5262	149	17	3i	3i	NOUN
ejpam-5262	149	18	then	then	ADV
ejpam-5262	149	19	,	,	PUNCT
ejpam-5262	149	20	l1(x	l1(x	NOUN
ejpam-5262	149	21	)	)	PUNCT
ejpam-5262	149	22	=	=	SYM
ejpam-5262	149	23	(	(	PUNCT
ejpam-5262	149	24	x−	x−	PROPN
ejpam-5262	149	25	σ(x3	σ(x3	PROPN
ejpam-5262	150	1	−	−	PROPN
ejpam-5262	150	2	x2)x3(x3	x2)x3(x3	INTJ
ejpam-5262	151	1	−	−	PROPN
ejpam-5262	151	2	x2	x2	PROPN
ejpam-5262	151	3	)	)	PUNCT
ejpam-5262	151	4	−1)(x−	−1)(x−	NOUN
ejpam-5262	151	5	x2	x2	PROPN
ejpam-5262	151	6	)	)	PUNCT
ejpam-5262	151	7	=	=	SYM
ejpam-5262	152	1	(	(	PUNCT
ejpam-5262	152	2	x+	x+	X
ejpam-5262	152	3	(	(	PUNCT
ejpam-5262	152	4	1	1	NUM
ejpam-5262	152	5	+	+	SYM
ejpam-5262	152	6	3i))(x−	3i))(x−	NUM
ejpam-5262	152	7	(	(	PUNCT
ejpam-5262	152	8	1	1	NUM
ejpam-5262	152	9	+	+	NUM
ejpam-5262	152	10	2i	2i	NUM
ejpam-5262	152	11	)	)	PUNCT
ejpam-5262	152	12	)	)	PUNCT
ejpam-5262	152	13	,	,	PUNCT
ejpam-5262	152	14	l2(x	l2(x	PROPN
ejpam-5262	152	15	)	)	PUNCT
ejpam-5262	152	16	=	=	SYM
ejpam-5262	153	1	(	(	PUNCT
ejpam-5262	153	2	x−	x−	PROPN
ejpam-5262	153	3	σ(x3	σ(x3	PROPN
ejpam-5262	154	1	−	−	X
ejpam-5262	154	2	x1)x3(x3	x1)x3(x3	PRON
ejpam-5262	155	1	−	−	NOUN
ejpam-5262	155	2	x1	x1	X
ejpam-5262	155	3	)	)	PUNCT
ejpam-5262	155	4	−1)(x−	−1)(x−	PROPN
ejpam-5262	155	5	x1	x1	PROPN
ejpam-5262	155	6	)	)	PUNCT
ejpam-5262	155	7	=	=	SYM
ejpam-5262	156	1	(	(	PUNCT
ejpam-5262	156	2	x+	x+	X
ejpam-5262	156	3	(	(	PUNCT
ejpam-5262	156	4	1	1	NUM
ejpam-5262	156	5	+	+	SYM
ejpam-5262	156	6	3i))(x−	3i))(x−	NUM
ejpam-5262	156	7	(	(	PUNCT
ejpam-5262	156	8	1	1	NUM
ejpam-5262	156	9	+	+	CCONJ
ejpam-5262	156	10	i	i	NOUN
ejpam-5262	156	11	)	)	PUNCT
ejpam-5262	156	12	)	)	PUNCT
ejpam-5262	156	13	,	,	PUNCT
ejpam-5262	156	14	a.	a.	PROPN
ejpam-5262	156	15	wijaya	wijaya	PROPN
ejpam-5262	156	16	,	,	PUNCT
ejpam-5262	156	17	i.	i.	PROPN
ejpam-5262	156	18	muchtadi	muchtadi	PROPN
ejpam-5262	156	19	alamsyah	alamsyah	PROPN
ejpam-5262	156	20	,	,	PUNCT
ejpam-5262	156	21	a.	a.	NOUN
ejpam-5262	156	22	barra	barra	PROPN
ejpam-5262	156	23	/	/	SYM
ejpam-5262	156	24	eur	eur	PROPN
ejpam-5262	156	25	.	.	PUNCT
ejpam-5262	157	1	j.	j.	PROPN
ejpam-5262	157	2	pure	pure	PROPN
ejpam-5262	157	3	appl	appl	PROPN
ejpam-5262	157	4	.	.	PROPN
ejpam-5262	157	5	math	math	PROPN
ejpam-5262	157	6	,	,	PUNCT
ejpam-5262	157	7	17	17	NUM
ejpam-5262	157	8	(	(	PUNCT
ejpam-5262	157	9	3	3	NUM
ejpam-5262	157	10	)	)	PUNCT
ejpam-5262	157	11	(	(	PUNCT
ejpam-5262	157	12	2024	2024	NUM
ejpam-5262	157	13	)	)	PUNCT
ejpam-5262	157	14	,	,	PUNCT
ejpam-5262	157	15	1751	1751	NUM
ejpam-5262	157	16	-	-	SYM
ejpam-5262	157	17	1761	1761	NUM
ejpam-5262	157	18	1757	1757	NUM
ejpam-5262	157	19	l3(x	l3(x	NOUN
ejpam-5262	157	20	)	)	PUNCT
ejpam-5262	157	21	=	=	SYM
ejpam-5262	157	22	(	(	PUNCT
ejpam-5262	157	23	x−	x−	PROPN
ejpam-5262	157	24	σ(x2	σ(x2	NOUN
ejpam-5262	157	25	−	−	PROPN
ejpam-5262	157	26	x1)x2(x2	x1)x2(x2	NOUN
ejpam-5262	158	1	−	−	PROPN
ejpam-5262	158	2	x1	x1	PROPN
ejpam-5262	158	3	)	)	PUNCT
ejpam-5262	158	4	−1)(x−	−1)(x−	PROPN
ejpam-5262	158	5	x1	x1	PROPN
ejpam-5262	158	6	)	)	PUNCT
ejpam-5262	158	7	=	=	SYM
ejpam-5262	159	1	(	(	PUNCT
ejpam-5262	159	2	x+	x+	X
ejpam-5262	159	3	(	(	PUNCT
ejpam-5262	159	4	1	1	NUM
ejpam-5262	159	5	+	+	SYM
ejpam-5262	159	6	2i))(x−	2i))(x−	NUM
ejpam-5262	159	7	(	(	PUNCT
ejpam-5262	159	8	1	1	NUM
ejpam-5262	159	9	+	+	CCONJ
ejpam-5262	159	10	i	i	NOUN
ejpam-5262	159	11	)	)	PUNCT
ejpam-5262	159	12	)	)	PUNCT
ejpam-5262	159	13	reconstruct	reconstruct	VERB
ejpam-5262	159	14	f3(x	f3(x	NOUN
ejpam-5262	159	15	)	)	PUNCT
ejpam-5262	159	16	using	use	VERB
ejpam-5262	159	17	skew	skew	ADJ
ejpam-5262	159	18	polynomials	polynomial	NOUN
ejpam-5262	159	19	lagrange	lagrange	NOUN
ejpam-5262	159	20	interpolation	interpolation	NOUN
ejpam-5262	159	21	:	:	PUNCT
ejpam-5262	159	22	f3(x	f3(x	X
ejpam-5262	159	23	)	)	PUNCT
ejpam-5262	159	24	=	=	NOUN
ejpam-5262	159	25	(	(	PUNCT
ejpam-5262	160	1	10	10	NUM
ejpam-5262	160	2	+	+	NUM
ejpam-5262	160	3	4i)(l1(1	4i)(l1(1	NUM
ejpam-5262	160	4	+	+	NOUN
ejpam-5262	160	5	i))−1l1(x	i))−1l1(x	NOUN
ejpam-5262	160	6	)	)	PUNCT
ejpam-5262	161	1	+	+	CCONJ
ejpam-5262	161	2	(	(	PUNCT
ejpam-5262	161	3	20)(l2(1	20)(l2(1	NOUN
ejpam-5262	161	4	+	+	CCONJ
ejpam-5262	161	5	2i))−1l2(x	2i))−1l2(x	NUM
ejpam-5262	161	6	)	)	PUNCT
ejpam-5262	162	1	+	+	CCONJ
ejpam-5262	162	2	(	(	PUNCT
ejpam-5262	162	3	32−	32−	VERB
ejpam-5262	162	4	4i)(l3(1	4i)(l3(1	PRON
ejpam-5262	162	5	+	+	CCONJ
ejpam-5262	162	6	3i))−1l3(x	3i))−1l3(x	PROPN
ejpam-5262	162	7	)	)	PUNCT
ejpam-5262	162	8	evaluate	evaluate	VERB
ejpam-5262	162	9	0	0	NUM
ejpam-5262	162	10	on	on	ADP
ejpam-5262	162	11	f3(x	f3(x	NOUN
ejpam-5262	162	12	)	)	PUNCT
ejpam-5262	162	13	to	to	PART
ejpam-5262	162	14	get	get	VERB
ejpam-5262	162	15	the	the	DET
ejpam-5262	162	16	secret	secret	NOUN
ejpam-5262	162	17	,	,	PUNCT
ejpam-5262	162	18	s	s	PART
ejpam-5262	162	19	=	=	PUNCT
ejpam-5262	162	20	f3(0	f3(0	PROPN
ejpam-5262	162	21	)	)	PUNCT
ejpam-5262	163	1	=	=	PUNCT
ejpam-5262	163	2	(	(	PUNCT
ejpam-5262	163	3	5	5	NUM
ejpam-5262	163	4	+	+	CCONJ
ejpam-5262	163	5	5i	5i	NUM
ejpam-5262	163	6	)	)	PUNCT
ejpam-5262	163	7	.	.	PUNCT
ejpam-5262	164	1	3.5	3.5	NUM
ejpam-5262	164	2	.	.	PUNCT
ejpam-5262	165	1	algorithm	algorithm	NOUN
ejpam-5262	165	2	complexity	complexity	NOUN
ejpam-5262	165	3	in	in	ADP
ejpam-5262	165	4	this	this	DET
ejpam-5262	165	5	stage	stage	NOUN
ejpam-5262	165	6	,	,	PUNCT
ejpam-5262	165	7	a	a	DET
ejpam-5262	165	8	complexity	complexity	NOUN
ejpam-5262	165	9	comparison	comparison	NOUN
ejpam-5262	165	10	will	will	AUX
ejpam-5262	165	11	be	be	AUX
ejpam-5262	165	12	carried	carry	VERB
ejpam-5262	165	13	out	out	ADP
ejpam-5262	165	14	between	between	ADP
ejpam-5262	165	15	the	the	DET
ejpam-5262	165	16	tcss	tcss	ADJ
ejpam-5262	165	17	scheme	scheme	NOUN
ejpam-5262	165	18	algorithm	algorithm	NOUN
ejpam-5262	165	19	using	use	VERB
ejpam-5262	165	20	regular	regular	ADJ
ejpam-5262	165	21	polynomials	polynomial	NOUN
ejpam-5262	165	22	and	and	CCONJ
ejpam-5262	165	23	using	use	VERB
ejpam-5262	165	24	skew	skew	ADJ
ejpam-5262	165	25	polynomials	polynomial	NOUN
ejpam-5262	165	26	.	.	PUNCT
ejpam-5262	166	1	the	the	DET
ejpam-5262	166	2	following	follow	VERB
ejpam-5262	166	3	are	be	AUX
ejpam-5262	166	4	the	the	DET
ejpam-5262	166	5	steps	step	NOUN
ejpam-5262	166	6	which	which	PRON
ejpam-5262	166	7	are	be	AUX
ejpam-5262	166	8	considered	consider	VERB
ejpam-5262	166	9	to	to	PART
ejpam-5262	166	10	determine	determine	VERB
ejpam-5262	166	11	complexity	complexity	NOUN
ejpam-5262	166	12	.	.	PUNCT
ejpam-5262	167	1	share	share	NOUN
ejpam-5262	167	2	generation	generation	NOUN
ejpam-5262	167	3	phase	phase	NOUN
ejpam-5262	167	4	:	:	PUNCT
ejpam-5262	167	5	(	(	PUNCT
ejpam-5262	167	6	i	i	NOUN
ejpam-5262	167	7	)	)	PUNCT
ejpam-5262	167	8	determining	determine	VERB
ejpam-5262	167	9	set	set	NOUN
ejpam-5262	167	10	of	of	ADP
ejpam-5262	167	11	x	x	X
ejpam-5262	167	12	=	=	PRON
ejpam-5262	167	13	{	{	PUNCT
ejpam-5262	167	14	xi	xi	X
ejpam-5262	167	15	}	}	PUNCT
ejpam-5262	167	16	for	for	ADP
ejpam-5262	167	17	all	all	PRON
ejpam-5262	167	18	i	i	PRON
ejpam-5262	167	19	∈	∈	PROPN
ejpam-5262	167	20	{	{	PUNCT
ejpam-5262	167	21	1	1	NUM
ejpam-5262	167	22	,	,	PUNCT
ejpam-5262	167	23	.	.	PUNCT
ejpam-5262	167	24	.	.	PUNCT
ejpam-5262	168	1	.	.	PUNCT
ejpam-5262	168	2	,	,	PUNCT
ejpam-5262	168	3	n	n	CCONJ
ejpam-5262	168	4	}	}	PUNCT
ejpam-5262	168	5	.	.	PUNCT
ejpam-5262	169	1	(	(	PUNCT
ejpam-5262	169	2	ii	ii	NOUN
ejpam-5262	169	3	)	)	PUNCT
ejpam-5262	169	4	evaluation	evaluation	NOUN
ejpam-5262	169	5	ft(xi	ft(xi	PROPN
ejpam-5262	169	6	)	)	PUNCT
ejpam-5262	169	7	for	for	ADP
ejpam-5262	169	8	each	each	DET
ejpam-5262	169	9	participant	participant	NOUN
ejpam-5262	170	1	i	i	PRON
ejpam-5262	170	2	for	for	ADP
ejpam-5262	170	3	all	all	DET
ejpam-5262	170	4	t	t	NOUN
ejpam-5262	170	5	∈	∈	PROPN
ejpam-5262	170	6	{	{	PUNCT
ejpam-5262	170	7	k	k	NOUN
ejpam-5262	170	8	,	,	PUNCT
ejpam-5262	170	9	k	k	PROPN
ejpam-5262	170	10	+	+	PROPN
ejpam-5262	170	11	1	1	NUM
ejpam-5262	170	12	,	,	PUNCT
ejpam-5262	170	13	.	.	PUNCT
ejpam-5262	170	14	.	.	PUNCT
ejpam-5262	170	15	.	.	PUNCT
ejpam-5262	170	16	,	,	PUNCT
ejpam-5262	170	17	n	n	CCONJ
ejpam-5262	170	18	}	}	PUNCT
ejpam-5262	170	19	.	.	PUNCT
ejpam-5262	171	1	secret	secret	ADJ
ejpam-5262	171	2	reconstruction	reconstruction	NOUN
ejpam-5262	171	3	phase	phase	NOUN
ejpam-5262	171	4	:	:	PUNCT
ejpam-5262	171	5	interpolation	interpolation	NOUN
ejpam-5262	171	6	polynomial	polynomial	ADJ
ejpam-5262	171	7	ft(x	ft(x	NOUN
ejpam-5262	171	8	)	)	PUNCT
ejpam-5262	171	9	.	.	PUNCT
ejpam-5262	172	1	3.5.1	3.5.1	NUM
ejpam-5262	172	2	.	.	PUNCT
ejpam-5262	172	3	tcss	tcss	NOUN
ejpam-5262	172	4	via	via	ADP
ejpam-5262	172	5	regular	regular	ADJ
ejpam-5262	172	6	polynomials	polynomial	NOUN
ejpam-5262	172	7	in	in	ADP
ejpam-5262	172	8	share	share	NOUN
ejpam-5262	172	9	generation	generation	NOUN
ejpam-5262	172	10	phase	phase	NOUN
ejpam-5262	172	11	,	,	PUNCT
ejpam-5262	172	12	the	the	DET
ejpam-5262	172	13	requirement	requirement	NOUN
ejpam-5262	172	14	to	to	PART
ejpam-5262	172	15	determine	determine	VERB
ejpam-5262	172	16	set	set	NOUN
ejpam-5262	172	17	of	of	ADP
ejpam-5262	172	18	x	x	X
ejpam-5262	172	19	=	=	PRON
ejpam-5262	172	20	{	{	PUNCT
ejpam-5262	172	21	xi	xi	NOUN
ejpam-5262	172	22	}	}	PUNCT
ejpam-5262	172	23	is	be	AUX
ejpam-5262	172	24	only	only	ADV
ejpam-5262	172	25	pairwise	pairwise	NOUN
ejpam-5262	172	26	distinct	distinct	NOUN
ejpam-5262	172	27	,	,	PUNCT
ejpam-5262	172	28	with	with	ADP
ejpam-5262	172	29	i	i	PRON
ejpam-5262	172	30	∈	∈	PROPN
ejpam-5262	172	31	{	{	PUNCT
ejpam-5262	172	32	1	1	NUM
ejpam-5262	172	33	,	,	PUNCT
ejpam-5262	172	34	...	...	PUNCT
ejpam-5262	172	35	,	,	PUNCT
ejpam-5262	172	36	n	n	CCONJ
ejpam-5262	172	37	}	}	PUNCT
ejpam-5262	172	38	.	.	PUNCT
ejpam-5262	173	1	which	which	PRON
ejpam-5262	173	2	mean	mean	VERB
ejpam-5262	173	3	after	after	ADP
ejpam-5262	173	4	select	select	VERB
ejpam-5262	173	5	a	a	DET
ejpam-5262	173	6	value	value	NOUN
ejpam-5262	173	7	of	of	ADP
ejpam-5262	173	8	xi	xi	PROPN
ejpam-5262	173	9	,	,	PUNCT
ejpam-5262	173	10	next	next	ADJ
ejpam-5262	173	11	value	value	NOUN
ejpam-5262	173	12	is	be	AUX
ejpam-5262	173	13	not	not	PART
ejpam-5262	173	14	allowed	allow	VERB
ejpam-5262	173	15	equal	equal	ADJ
ejpam-5262	173	16	to	to	ADP
ejpam-5262	173	17	all	all	DET
ejpam-5262	173	18	previous	previous	ADJ
ejpam-5262	173	19	value	value	NOUN
ejpam-5262	173	20	.	.	PUNCT
ejpam-5262	174	1	so	so	ADV
ejpam-5262	174	2	the	the	DET
ejpam-5262	174	3	number	number	NOUN
ejpam-5262	174	4	of	of	ADP
ejpam-5262	174	5	comparison	comparison	NOUN
ejpam-5262	174	6	steps	step	NOUN
ejpam-5262	174	7	:	:	PUNCT
ejpam-5262	174	8	t	t	PROPN
ejpam-5262	174	9	(	(	PUNCT
ejpam-5262	174	10	n	n	CCONJ
ejpam-5262	174	11	)	)	PUNCT
ejpam-5262	174	12	=	=	SYM
ejpam-5262	174	13	1	1	NUM
ejpam-5262	175	1	+	+	NUM
ejpam-5262	175	2	2	2	NUM
ejpam-5262	175	3	+	+	CCONJ
ejpam-5262	175	4	·	·	PUNCT
ejpam-5262	175	5	·	·	PUNCT
ejpam-5262	175	6	·	·	PUNCT
ejpam-5262	175	7	+	+	CCONJ
ejpam-5262	175	8	(	(	PUNCT
ejpam-5262	175	9	n−	n−	NOUN
ejpam-5262	175	10	1	1	NUM
ejpam-5262	175	11	)	)	PUNCT
ejpam-5262	175	12	=	=	SYM
ejpam-5262	175	13	1	1	NUM
ejpam-5262	175	14	2	2	NUM
ejpam-5262	175	15	(	(	PUNCT
ejpam-5262	175	16	n−	n−	NOUN
ejpam-5262	175	17	1)n	1)n	NOUN
ejpam-5262	175	18	=	=	SYM
ejpam-5262	175	19	1	1	NUM
ejpam-5262	175	20	2	2	NUM
ejpam-5262	175	21	n2	n2	NOUN
ejpam-5262	175	22	−	−	PROPN
ejpam-5262	175	23	1	1	NUM
ejpam-5262	175	24	2	2	NUM
ejpam-5262	175	25	n	n	NOUN
ejpam-5262	175	26	the	the	DET
ejpam-5262	175	27	complexity	complexity	NOUN
ejpam-5262	175	28	is	be	AUX
ejpam-5262	175	29	o(n2	o(n2	ADJ
ejpam-5262	175	30	)	)	PUNCT
ejpam-5262	175	31	.	.	PUNCT
ejpam-5262	176	1	for	for	ADP
ejpam-5262	176	2	evaluation	evaluation	NOUN
ejpam-5262	176	3	ft(xi	ft(xi	PROPN
ejpam-5262	176	4	)	)	PUNCT
ejpam-5262	176	5	,	,	PUNCT
ejpam-5262	176	6	the	the	DET
ejpam-5262	176	7	number	number	NOUN
ejpam-5262	176	8	of	of	ADP
ejpam-5262	176	9	arithmetic	arithmetic	ADJ
ejpam-5262	176	10	operations	operation	NOUN
ejpam-5262	176	11	:	:	PUNCT
ejpam-5262	176	12	t	t	PROPN
ejpam-5262	176	13	(	(	PUNCT
ejpam-5262	176	14	n	n	CCONJ
ejpam-5262	176	15	)	)	PUNCT
ejpam-5262	176	16	=	=	SYM
ejpam-5262	176	17	n	n	PROPN
ejpam-5262	176	18	·	·	PUNCT
ejpam-5262	176	19	n∑	n∑	NOUN
ejpam-5262	176	20	t	t	PROPN
ejpam-5262	177	1	=	=	SYM
ejpam-5262	177	2	k	k	NOUN
ejpam-5262	177	3	(t−	(t−	DET
ejpam-5262	177	4	1	1	NUM
ejpam-5262	177	5	)	)	PUNCT
ejpam-5262	178	1	+	+	CCONJ
ejpam-5262	178	2	t∑	t∑	PROPN
ejpam-5262	178	3	j=1	j=1	NOUN
ejpam-5262	178	4	(	(	PUNCT
ejpam-5262	178	5	1	1	NUM
ejpam-5262	178	6	+	+	CCONJ
ejpam-5262	178	7	(	(	PUNCT
ejpam-5262	178	8	j	j	PROPN
ejpam-5262	178	9	−	−	PROPN
ejpam-5262	178	10	1	1	NUM
ejpam-5262	178	11	)	)	PUNCT
ejpam-5262	178	12	)	)	PUNCT
ejpam-5262	179	1			PROPN
ejpam-5262	179	2	=	=	SYM
ejpam-5262	179	3	n	n	PROPN
ejpam-5262	179	4	·	·	PUNCT
ejpam-5262	179	5	n∑	n∑	NOUN
ejpam-5262	179	6	t	t	PROPN
ejpam-5262	179	7	=	=	SYM
ejpam-5262	179	8	k	k	X
ejpam-5262	179	9	(	(	PUNCT
ejpam-5262	179	10	(	(	PUNCT
ejpam-5262	179	11	t−	t−	PROPN
ejpam-5262	179	12	1	1	NUM
ejpam-5262	179	13	)	)	PUNCT
ejpam-5262	179	14	+	+	CCONJ
ejpam-5262	179	15	1	1	NUM
ejpam-5262	179	16	2	2	NUM
ejpam-5262	179	17	t(t+	t(t+	NUM
ejpam-5262	179	18	1	1	NUM
ejpam-5262	179	19	)	)	PUNCT
ejpam-5262	179	20	)	)	PUNCT
ejpam-5262	180	1	=	=	SYM
ejpam-5262	180	2	n	n	X
ejpam-5262	180	3	·	·	PUNCT
ejpam-5262	180	4	n∑	n∑	NOUN
ejpam-5262	180	5	t	t	PROPN
ejpam-5262	180	6	=	=	SYM
ejpam-5262	180	7	k	k	PROPN
ejpam-5262	180	8	(	(	PUNCT
ejpam-5262	180	9	1	1	NUM
ejpam-5262	180	10	2	2	NUM
ejpam-5262	180	11	t2	t2	NOUN
ejpam-5262	180	12	+	+	CCONJ
ejpam-5262	180	13	3	3	NUM
ejpam-5262	180	14	2	2	NUM
ejpam-5262	180	15	t−	t−	PROPN
ejpam-5262	180	16	1	1	NUM
ejpam-5262	180	17	)	)	PUNCT
ejpam-5262	180	18	a.	a.	NOUN
ejpam-5262	180	19	wijaya	wijaya	PROPN
ejpam-5262	180	20	,	,	PUNCT
ejpam-5262	180	21	i.	i.	PROPN
ejpam-5262	180	22	muchtadi	muchtadi	PROPN
ejpam-5262	180	23	alamsyah	alamsyah	PROPN
ejpam-5262	180	24	,	,	PUNCT
ejpam-5262	180	25	a.	a.	NOUN
ejpam-5262	180	26	barra	barra	PROPN
ejpam-5262	180	27	/	/	SYM
ejpam-5262	180	28	eur	eur	PROPN
ejpam-5262	180	29	.	.	PUNCT
ejpam-5262	181	1	j.	j.	PROPN
ejpam-5262	181	2	pure	pure	PROPN
ejpam-5262	181	3	appl	appl	PROPN
ejpam-5262	181	4	.	.	PROPN
ejpam-5262	181	5	math	math	PROPN
ejpam-5262	181	6	,	,	PUNCT
ejpam-5262	181	7	17	17	NUM
ejpam-5262	181	8	(	(	PUNCT
ejpam-5262	181	9	3	3	NUM
ejpam-5262	181	10	)	)	PUNCT
ejpam-5262	181	11	(	(	PUNCT
ejpam-5262	181	12	2024	2024	NUM
ejpam-5262	181	13	)	)	PUNCT
ejpam-5262	181	14	,	,	PUNCT
ejpam-5262	181	15	1751	1751	NUM
ejpam-5262	181	16	-	-	SYM
ejpam-5262	181	17	1761	1761	NUM
ejpam-5262	181	18	1758	1758	NUM
ejpam-5262	181	19	for	for	ADP
ejpam-5262	181	20	the	the	DET
ejpam-5262	181	21	worst	bad	ADJ
ejpam-5262	181	22	case	case	NOUN
ejpam-5262	181	23	,	,	PUNCT
ejpam-5262	181	24	assume	assume	VERB
ejpam-5262	182	1	the	the	DET
ejpam-5262	182	2	minimum	minimum	NOUN
ejpam-5262	182	3	k	k	NOUN
ejpam-5262	182	4	=	=	SYM
ejpam-5262	182	5	1	1	X
ejpam-5262	182	6	.	.	X
ejpam-5262	183	1	t	t	PROPN
ejpam-5262	183	2	(	(	PUNCT
ejpam-5262	183	3	n	n	CCONJ
ejpam-5262	183	4	)	)	PUNCT
ejpam-5262	183	5	=	=	SYM
ejpam-5262	183	6	n	n	PROPN
ejpam-5262	183	7	·	·	PUNCT
ejpam-5262	183	8	n∑	n∑	NOUN
ejpam-5262	183	9	t=1	t=1	PROPN
ejpam-5262	183	10	(	(	PUNCT
ejpam-5262	183	11	1	1	NUM
ejpam-5262	183	12	2	2	NUM
ejpam-5262	183	13	t2	t2	NOUN
ejpam-5262	183	14	+	+	CCONJ
ejpam-5262	183	15	3	3	NUM
ejpam-5262	183	16	2	2	NUM
ejpam-5262	183	17	t−	t−	PROPN
ejpam-5262	183	18	1	1	NUM
ejpam-5262	183	19	)	)	PUNCT
ejpam-5262	183	20	=	=	SYM
ejpam-5262	183	21	n	n	PART
ejpam-5262	183	22	·	·	PUNCT
ejpam-5262	183	23	(	(	PUNCT
ejpam-5262	183	24	1	1	NUM
ejpam-5262	183	25	2	2	NUM
ejpam-5262	183	26	n∑	n∑	NOUN
ejpam-5262	183	27	t=1	t=1	PROPN
ejpam-5262	183	28	t2	t2	NOUN
ejpam-5262	183	29	+	+	CCONJ
ejpam-5262	183	30	3	3	NUM
ejpam-5262	183	31	2	2	NUM
ejpam-5262	183	32	n∑	n∑	NOUN
ejpam-5262	183	33	t=1	t=1	PROPN
ejpam-5262	183	34	t−	t−	PROPN
ejpam-5262	183	35	n∑	n∑	NOUN
ejpam-5262	183	36	t=1	t=1	PROPN
ejpam-5262	183	37	1	1	NUM
ejpam-5262	183	38	)	)	PUNCT
ejpam-5262	183	39	=	=	SYM
ejpam-5262	184	1	n	n	PART
ejpam-5262	184	2	·	·	PUNCT
ejpam-5262	184	3	(	(	PUNCT
ejpam-5262	184	4	1	1	NUM
ejpam-5262	184	5	2	2	NUM
ejpam-5262	184	6	(	(	PUNCT
ejpam-5262	184	7	1	1	NUM
ejpam-5262	184	8	6	6	NUM
ejpam-5262	184	9	n(n+	n(n+	NOUN
ejpam-5262	184	10	1)(2n+	1)(2n+	NUM
ejpam-5262	184	11	1	1	NUM
ejpam-5262	184	12	)	)	PUNCT
ejpam-5262	184	13	)	)	PUNCT
ejpam-5262	185	1	+	+	CCONJ
ejpam-5262	185	2	3	3	NUM
ejpam-5262	185	3	2	2	NUM
ejpam-5262	185	4	(	(	PUNCT
ejpam-5262	185	5	1	1	NUM
ejpam-5262	185	6	2	2	NUM
ejpam-5262	185	7	n(n+	n(n+	NUM
ejpam-5262	185	8	1	1	NUM
ejpam-5262	185	9	)	)	PUNCT
ejpam-5262	185	10	)	)	PUNCT
ejpam-5262	186	1	−	−	PROPN
ejpam-5262	187	1	n	n	CCONJ
ejpam-5262	187	2	)	)	PUNCT
ejpam-5262	187	3	the	the	DET
ejpam-5262	187	4	complexity	complexity	NOUN
ejpam-5262	187	5	is	be	AUX
ejpam-5262	187	6	o(n4	o(n4	NOUN
ejpam-5262	187	7	)	)	PUNCT
ejpam-5262	187	8	.	.	PUNCT
ejpam-5262	188	1	the	the	DET
ejpam-5262	188	2	total	total	ADJ
ejpam-5262	188	3	complexity	complexity	NOUN
ejpam-5262	188	4	of	of	ADP
ejpam-5262	188	5	share	share	NOUN
ejpam-5262	188	6	generation	generation	NOUN
ejpam-5262	188	7	for	for	ADP
ejpam-5262	188	8	the	the	DET
ejpam-5262	188	9	case	case	NOUN
ejpam-5262	188	10	of	of	ADP
ejpam-5262	188	11	a	a	DET
ejpam-5262	188	12	regular	regular	ADJ
ejpam-5262	188	13	polynomial	polynomial	NOUN
ejpam-5262	188	14	is	be	AUX
ejpam-5262	188	15	o(n2)+	o(n2)+	NOUN
ejpam-5262	188	16	o(n4	o(n4	NOUN
ejpam-5262	188	17	)	)	PUNCT
ejpam-5262	188	18	=	=	SYM
ejpam-5262	188	19	o(n4	o(n4	NOUN
ejpam-5262	188	20	)	)	PUNCT
ejpam-5262	188	21	.	.	PUNCT
ejpam-5262	189	1	in	in	ADP
ejpam-5262	189	2	the	the	DET
ejpam-5262	189	3	secret	secret	ADJ
ejpam-5262	189	4	reconstruction	reconstruction	NOUN
ejpam-5262	189	5	phase	phase	NOUN
ejpam-5262	189	6	,	,	PUNCT
ejpam-5262	189	7	for	for	ADP
ejpam-5262	189	8	interpolation	interpolation	NOUN
ejpam-5262	189	9	polynomial	polynomial	ADJ
ejpam-5262	189	10	ft(x	ft(x	NOUN
ejpam-5262	189	11	)	)	PUNCT
ejpam-5262	189	12	.	.	PUNCT
ejpam-5262	190	1	the	the	DET
ejpam-5262	190	2	lagrange	lagrange	PROPN
ejpam-5262	190	3	formula	formula	NOUN
ejpam-5262	190	4	:	:	PUNCT
ejpam-5262	190	5	ft(x	ft(x	NUM
ejpam-5262	190	6	)	)	PUNCT
ejpam-5262	191	1	=	=	PUNCT
ejpam-5262	192	1	t∑	t∑	PROPN
ejpam-5262	192	2	i=1	i=1	PROPN
ejpam-5262	193	1	y(t	y(t	PROPN
ejpam-5262	193	2	,	,	PUNCT
ejpam-5262	193	3	i	i	NOUN
ejpam-5262	193	4	)	)	PUNCT
ejpam-5262	194	1	t∏	t∏	PROPN
ejpam-5262	194	2	j=1,j	j=1,j	INTJ
ejpam-5262	194	3	̸=i	̸=i	PROPN
ejpam-5262	194	4	(	(	PUNCT
ejpam-5262	194	5	x−	x−	PROPN
ejpam-5262	194	6	xj	xj	PROPN
ejpam-5262	194	7	)	)	PUNCT
ejpam-5262	194	8	(	(	PUNCT
ejpam-5262	194	9	xi	xi	PROPN
ejpam-5262	194	10	−	−	PROPN
ejpam-5262	194	11	xj	xj	NOUN
ejpam-5262	194	12	)	)	PUNCT
ejpam-5262	194	13			PROPN
ejpam-5262	194	14	for	for	ADP
ejpam-5262	194	15	the	the	DET
ejpam-5262	194	16	worst	bad	ADJ
ejpam-5262	194	17	case	case	NOUN
ejpam-5262	194	18	,	,	PUNCT
ejpam-5262	194	19	the	the	DET
ejpam-5262	194	20	maximum	maximum	PROPN
ejpam-5262	194	21	t	t	NOUN
ejpam-5262	194	22	=	=	PUNCT
ejpam-5262	194	23	n.	n.	NOUN
ejpam-5262	194	24	number	number	NOUN
ejpam-5262	194	25	of	of	ADP
ejpam-5262	194	26	arithmetic	arithmetic	ADJ
ejpam-5262	194	27	operations	operation	NOUN
ejpam-5262	194	28	:	:	PUNCT
ejpam-5262	194	29	t	t	PROPN
ejpam-5262	194	30	(	(	PUNCT
ejpam-5262	194	31	n	n	CCONJ
ejpam-5262	194	32	)	)	PUNCT
ejpam-5262	194	33	=	=	SYM
ejpam-5262	194	34	(	(	PUNCT
ejpam-5262	194	35	n−	n−	NOUN
ejpam-5262	194	36	1	1	NUM
ejpam-5262	194	37	)	)	PUNCT
ejpam-5262	194	38	·	·	PUNCT
ejpam-5262	195	1	(	(	PUNCT
ejpam-5262	195	2	1	1	NUM
ejpam-5262	195	3	+	+	CCONJ
ejpam-5262	195	4	(	(	PUNCT
ejpam-5262	195	5	n−	n−	NOUN
ejpam-5262	195	6	1	1	NUM
ejpam-5262	195	7	)	)	PUNCT
ejpam-5262	195	8	·	·	PUNCT
ejpam-5262	195	9	2	2	X
ejpam-5262	195	10	)	)	PUNCT
ejpam-5262	195	11	the	the	DET
ejpam-5262	195	12	complexity	complexity	NOUN
ejpam-5262	195	13	is	be	AUX
ejpam-5262	195	14	o(n2	o(n2	ADJ
ejpam-5262	195	15	)	)	PUNCT
ejpam-5262	195	16	.	.	PUNCT
ejpam-5262	196	1	3.5.2	3.5.2	X
ejpam-5262	196	2	.	.	PUNCT
ejpam-5262	196	3	tcss	tcss	PROPN
ejpam-5262	196	4	via	via	ADP
ejpam-5262	196	5	skew	skew	ADJ
ejpam-5262	196	6	polynomials	polynomial	NOUN
ejpam-5262	196	7	in	in	ADP
ejpam-5262	196	8	share	share	NOUN
ejpam-5262	196	9	generation	generation	NOUN
ejpam-5262	196	10	phase	phase	NOUN
ejpam-5262	196	11	,	,	PUNCT
ejpam-5262	196	12	the	the	DET
ejpam-5262	196	13	requirement	requirement	NOUN
ejpam-5262	196	14	to	to	PART
ejpam-5262	196	15	determine	determine	VERB
ejpam-5262	196	16	set	set	NOUN
ejpam-5262	196	17	of	of	ADP
ejpam-5262	196	18	x	x	X
ejpam-5262	196	19	=	=	PRON
ejpam-5262	196	20	{	{	PUNCT
ejpam-5262	196	21	xi	xi	NOUN
ejpam-5262	196	22	}	}	PUNCT
ejpam-5262	196	23	is	be	AUX
ejpam-5262	196	24	σ	σ	NOUN
ejpam-5262	196	25	-	-	PUNCT
ejpam-5262	196	26	pairwise	pairwise	NOUN
ejpam-5262	196	27	distinct	distinct	NOUN
ejpam-5262	196	28	,	,	PUNCT
ejpam-5262	196	29	with	with	ADP
ejpam-5262	196	30	i	i	PRON
ejpam-5262	196	31	∈	∈	PROPN
ejpam-5262	196	32	{	{	PUNCT
ejpam-5262	196	33	1	1	NUM
ejpam-5262	196	34	,	,	PUNCT
ejpam-5262	196	35	...	...	PUNCT
ejpam-5262	196	36	,	,	PUNCT
ejpam-5262	196	37	n	n	CCONJ
ejpam-5262	196	38	}	}	PUNCT
ejpam-5262	196	39	.	.	PUNCT
ejpam-5262	197	1	which	which	PRON
ejpam-5262	197	2	mean	mean	VERB
ejpam-5262	197	3	after	after	ADP
ejpam-5262	197	4	select	select	VERB
ejpam-5262	197	5	a	a	DET
ejpam-5262	197	6	value	value	NOUN
ejpam-5262	197	7	of	of	ADP
ejpam-5262	197	8	xi	xi	PROPN
ejpam-5262	197	9	,	,	PUNCT
ejpam-5262	197	10	next	next	ADJ
ejpam-5262	197	11	value	value	NOUN
ejpam-5262	197	12	is	be	AUX
ejpam-5262	197	13	not	not	PART
ejpam-5262	197	14	allowed	allow	VERB
ejpam-5262	197	15	equal	equal	ADJ
ejpam-5262	197	16	to	to	ADP
ejpam-5262	197	17	all	all	DET
ejpam-5262	197	18	previous	previous	ADJ
ejpam-5262	197	19	value	value	NOUN
ejpam-5262	197	20	or	or	CCONJ
ejpam-5262	197	21	the	the	DET
ejpam-5262	197	22	σ	σ	NOUN
ejpam-5262	197	23	-	-	PUNCT
ejpam-5262	197	24	conjugate	conjugate	NOUN
ejpam-5262	197	25	of	of	ADP
ejpam-5262	197	26	all	all	DET
ejpam-5262	197	27	previous	previous	ADJ
ejpam-5262	197	28	value	value	NOUN
ejpam-5262	197	29	.	.	PUNCT
ejpam-5262	198	1	so	so	ADV
ejpam-5262	198	2	the	the	DET
ejpam-5262	198	3	number	number	NOUN
ejpam-5262	198	4	of	of	ADP
ejpam-5262	198	5	comparison	comparison	NOUN
ejpam-5262	198	6	steps	step	NOUN
ejpam-5262	198	7	:	:	PUNCT
ejpam-5262	198	8	t	t	PROPN
ejpam-5262	198	9	(	(	PUNCT
ejpam-5262	198	10	n	n	CCONJ
ejpam-5262	198	11	)	)	PUNCT
ejpam-5262	198	12	=	=	SYM
ejpam-5262	198	13	2	2	NUM
ejpam-5262	198	14	+	+	NUM
ejpam-5262	198	15	4	4	NUM
ejpam-5262	198	16	+	+	CCONJ
ejpam-5262	198	17	.	.	PUNCT
ejpam-5262	198	18	.	.	PUNCT
ejpam-5262	199	1	.+	.+	NOUN
ejpam-5262	199	2	2(n−	2(n−	NUM
ejpam-5262	199	3	1	1	NUM
ejpam-5262	199	4	)	)	PUNCT
ejpam-5262	199	5	=	=	NOUN
ejpam-5262	199	6	(	(	PUNCT
ejpam-5262	199	7	n−	n−	NOUN
ejpam-5262	199	8	1)n	1)n	X
ejpam-5262	199	9	=	=	SYM
ejpam-5262	199	10	n2	n2	NOUN
ejpam-5262	199	11	−	−	PROPN
ejpam-5262	199	12	n	n	CCONJ
ejpam-5262	199	13	the	the	DET
ejpam-5262	199	14	complexity	complexity	NOUN
ejpam-5262	199	15	is	be	AUX
ejpam-5262	199	16	o(n2	o(n2	ADJ
ejpam-5262	199	17	)	)	PUNCT
ejpam-5262	199	18	.	.	PUNCT
ejpam-5262	200	1	for	for	ADP
ejpam-5262	200	2	evaluation	evaluation	NOUN
ejpam-5262	200	3	ft(xi	ft(xi	PROPN
ejpam-5262	200	4	)	)	PUNCT
ejpam-5262	200	5	,	,	PUNCT
ejpam-5262	200	6	the	the	DET
ejpam-5262	200	7	formula	formula	NOUN
ejpam-5262	200	8	:	:	PUNCT
ejpam-5262	200	9	ft(xi	ft(xi	ADJ
ejpam-5262	200	10	)	)	PUNCT
ejpam-5262	201	1	=	=	PUNCT
ejpam-5262	201	2	s+	s+	X
ejpam-5262	202	1	t−1∑	t−1∑	NUM
ejpam-5262	202	2	u=1	u=1	X
ejpam-5262	202	3	at	at	ADP
ejpam-5262	202	4	,	,	PUNCT
ejpam-5262	202	5	unu(xi	unu(xi	PRON
ejpam-5262	202	6	)	)	PUNCT
ejpam-5262	202	7	with	with	ADP
ejpam-5262	202	8	n0(xi	n0(xi	PROPN
ejpam-5262	202	9	)	)	PUNCT
ejpam-5262	202	10	=	=	SYM
ejpam-5262	202	11	0	0	NUM
ejpam-5262	202	12	and	and	CCONJ
ejpam-5262	202	13	nv+1(xi	nv+1(xi	NUM
ejpam-5262	202	14	)	)	PUNCT
ejpam-5262	203	1	=	=	NOUN
ejpam-5262	203	2	σ(nv(xi))xi	σ(nv(xi))xi	NOUN
ejpam-5262	203	3	for	for	ADP
ejpam-5262	203	4	v	v	NUM
ejpam-5262	203	5	≥	≥	NOUN
ejpam-5262	203	6	0	0	NUM
ejpam-5262	203	7	.	.	PUNCT
ejpam-5262	203	8	number	number	NOUN
ejpam-5262	203	9	of	of	ADP
ejpam-5262	203	10	arithmetic	arithmetic	ADJ
ejpam-5262	203	11	operations	operation	NOUN
ejpam-5262	203	12	:	:	PUNCT
ejpam-5262	203	13	t	t	PROPN
ejpam-5262	203	14	(	(	PUNCT
ejpam-5262	203	15	n	n	CCONJ
ejpam-5262	203	16	)	)	PUNCT
ejpam-5262	203	17	=	=	SYM
ejpam-5262	203	18	n	n	PROPN
ejpam-5262	203	19	·	·	PUNCT
ejpam-5262	203	20	n∑	n∑	NOUN
ejpam-5262	203	21	t	t	PROPN
ejpam-5262	204	1	=	=	SYM
ejpam-5262	204	2	k	k	NOUN
ejpam-5262	204	3	(t−	(t−	DET
ejpam-5262	204	4	1	1	NUM
ejpam-5262	204	5	)	)	PUNCT
ejpam-5262	205	1	+	+	CCONJ
ejpam-5262	206	1	t∑	t∑	PROPN
ejpam-5262	206	2	j=1	j=1	NOUN
ejpam-5262	206	3	(	(	PUNCT
ejpam-5262	206	4	1	1	NUM
ejpam-5262	206	5	+	+	NUM
ejpam-5262	206	6	2j	2j	NUM
ejpam-5262	206	7	)	)	PUNCT
ejpam-5262	206	8			PROPN
ejpam-5262	206	9	a.	a.	NOUN
ejpam-5262	206	10	wijaya	wijaya	PROPN
ejpam-5262	206	11	,	,	PUNCT
ejpam-5262	206	12	i.	i.	PROPN
ejpam-5262	206	13	muchtadi	muchtadi	PROPN
ejpam-5262	206	14	alamsyah	alamsyah	PROPN
ejpam-5262	206	15	,	,	PUNCT
ejpam-5262	206	16	a.	a.	NOUN
ejpam-5262	206	17	barra	barra	PROPN
ejpam-5262	206	18	/	/	SYM
ejpam-5262	206	19	eur	eur	PROPN
ejpam-5262	206	20	.	.	PUNCT
ejpam-5262	207	1	j.	j.	PROPN
ejpam-5262	207	2	pure	pure	PROPN
ejpam-5262	207	3	appl	appl	PROPN
ejpam-5262	207	4	.	.	PROPN
ejpam-5262	207	5	math	math	PROPN
ejpam-5262	207	6	,	,	PUNCT
ejpam-5262	207	7	17	17	NUM
ejpam-5262	207	8	(	(	PUNCT
ejpam-5262	207	9	3	3	NUM
ejpam-5262	207	10	)	)	PUNCT
ejpam-5262	207	11	(	(	PUNCT
ejpam-5262	207	12	2024	2024	NUM
ejpam-5262	207	13	)	)	PUNCT
ejpam-5262	207	14	,	,	PUNCT
ejpam-5262	207	15	1751	1751	NUM
ejpam-5262	207	16	-	-	SYM
ejpam-5262	207	17	1761	1761	NUM
ejpam-5262	207	18	1759	1759	NUM
ejpam-5262	207	19	=	=	SYM
ejpam-5262	207	20	n	n	PART
ejpam-5262	207	21	·	·	PUNCT
ejpam-5262	207	22	n∑	n∑	NOUN
ejpam-5262	207	23	t	t	PROPN
ejpam-5262	208	1	=	=	SYM
ejpam-5262	208	2	k	k	X
ejpam-5262	208	3	(	(	PUNCT
ejpam-5262	208	4	(	(	PUNCT
ejpam-5262	208	5	t−	t−	PROPN
ejpam-5262	208	6	1	1	NUM
ejpam-5262	208	7	)	)	PUNCT
ejpam-5262	208	8	+	+	CCONJ
ejpam-5262	208	9	t+	t+	NOUN
ejpam-5262	208	10	1	1	NUM
ejpam-5262	208	11	2	2	NUM
ejpam-5262	208	12	t(t+	t(t+	NUM
ejpam-5262	208	13	1	1	NUM
ejpam-5262	208	14	)	)	PUNCT
ejpam-5262	208	15	)	)	PUNCT
ejpam-5262	208	16	=	=	SYM
ejpam-5262	208	17	n	n	X
ejpam-5262	208	18	·	·	PUNCT
ejpam-5262	208	19	n∑	n∑	NOUN
ejpam-5262	208	20	t	t	PROPN
ejpam-5262	208	21	=	=	SYM
ejpam-5262	208	22	k	k	PROPN
ejpam-5262	208	23	(	(	PUNCT
ejpam-5262	208	24	1	1	NUM
ejpam-5262	208	25	2	2	NUM
ejpam-5262	208	26	t2	t2	NOUN
ejpam-5262	208	27	+	+	CCONJ
ejpam-5262	208	28	5	5	NUM
ejpam-5262	208	29	2	2	NUM
ejpam-5262	208	30	t−	t−	PROPN
ejpam-5262	208	31	1	1	NUM
ejpam-5262	208	32	)	)	PUNCT
ejpam-5262	208	33	t	t	NOUN
ejpam-5262	208	34	(	(	PUNCT
ejpam-5262	208	35	n	n	CCONJ
ejpam-5262	208	36	)	)	PUNCT
ejpam-5262	208	37	=	=	SYM
ejpam-5262	208	38	n	n	PROPN
ejpam-5262	208	39	·	·	PUNCT
ejpam-5262	208	40	n∑	n∑	NOUN
ejpam-5262	208	41	t=1	t=1	PROPN
ejpam-5262	208	42	(	(	PUNCT
ejpam-5262	208	43	1	1	NUM
ejpam-5262	208	44	2	2	NUM
ejpam-5262	208	45	t2	t2	NOUN
ejpam-5262	208	46	+	+	CCONJ
ejpam-5262	208	47	5	5	NUM
ejpam-5262	208	48	2	2	NUM
ejpam-5262	208	49	t−	t−	PROPN
ejpam-5262	208	50	1	1	NUM
ejpam-5262	208	51	)	)	PUNCT
ejpam-5262	208	52	=	=	SYM
ejpam-5262	208	53	n	n	PART
ejpam-5262	208	54	·	·	PUNCT
ejpam-5262	208	55	(	(	PUNCT
ejpam-5262	208	56	1	1	NUM
ejpam-5262	208	57	2	2	NUM
ejpam-5262	208	58	n∑	n∑	NOUN
ejpam-5262	208	59	t=1	t=1	PROPN
ejpam-5262	208	60	t2	t2	NOUN
ejpam-5262	208	61	+	+	CCONJ
ejpam-5262	208	62	5	5	NUM
ejpam-5262	208	63	2	2	NUM
ejpam-5262	208	64	n∑	n∑	NOUN
ejpam-5262	208	65	t=1	t=1	PROPN
ejpam-5262	208	66	t−	t−	PROPN
ejpam-5262	208	67	n∑	n∑	NOUN
ejpam-5262	208	68	t=1	t=1	PROPN
ejpam-5262	208	69	1	1	NUM
ejpam-5262	208	70	)	)	PUNCT
ejpam-5262	208	71	=	=	SYM
ejpam-5262	209	1	n	n	PART
ejpam-5262	209	2	·	·	PUNCT
ejpam-5262	209	3	(	(	PUNCT
ejpam-5262	209	4	1	1	NUM
ejpam-5262	209	5	2	2	NUM
ejpam-5262	209	6	(	(	PUNCT
ejpam-5262	209	7	1	1	NUM
ejpam-5262	209	8	6	6	NUM
ejpam-5262	209	9	n(n+	n(n+	NOUN
ejpam-5262	209	10	1)(2n+	1)(2n+	NUM
ejpam-5262	209	11	1	1	NUM
ejpam-5262	209	12	)	)	PUNCT
ejpam-5262	209	13	)	)	PUNCT
ejpam-5262	210	1	+	+	CCONJ
ejpam-5262	210	2	5	5	NUM
ejpam-5262	210	3	2	2	NUM
ejpam-5262	210	4	(	(	PUNCT
ejpam-5262	210	5	1	1	NUM
ejpam-5262	210	6	2	2	NUM
ejpam-5262	210	7	n(n+	n(n+	NUM
ejpam-5262	210	8	1	1	NUM
ejpam-5262	210	9	)	)	PUNCT
ejpam-5262	210	10	)	)	PUNCT
ejpam-5262	211	1	−	−	PROPN
ejpam-5262	212	1	n	n	CCONJ
ejpam-5262	212	2	)	)	PUNCT
ejpam-5262	212	3	the	the	DET
ejpam-5262	212	4	complexity	complexity	NOUN
ejpam-5262	212	5	is	be	AUX
ejpam-5262	212	6	o(n4	o(n4	NOUN
ejpam-5262	212	7	)	)	PUNCT
ejpam-5262	212	8	.	.	PUNCT
ejpam-5262	213	1	the	the	DET
ejpam-5262	213	2	total	total	ADJ
ejpam-5262	213	3	complexity	complexity	NOUN
ejpam-5262	213	4	of	of	ADP
ejpam-5262	213	5	share	share	NOUN
ejpam-5262	213	6	generation	generation	NOUN
ejpam-5262	213	7	for	for	ADP
ejpam-5262	213	8	case	case	NOUN
ejpam-5262	213	9	regular	regular	ADJ
ejpam-5262	213	10	polynomial	polynomial	NOUN
ejpam-5262	213	11	is	be	AUX
ejpam-5262	213	12	o(n2)+o(n4	o(n2)+o(n4	ADJ
ejpam-5262	213	13	)	)	PUNCT
ejpam-5262	213	14	=	=	SYM
ejpam-5262	213	15	o(n4	o(n4	NOUN
ejpam-5262	213	16	)	)	PUNCT
ejpam-5262	213	17	.	.	PUNCT
ejpam-5262	214	1	in	in	ADP
ejpam-5262	214	2	the	the	DET
ejpam-5262	214	3	secret	secret	ADJ
ejpam-5262	214	4	reconstruction	reconstruction	NOUN
ejpam-5262	214	5	phase	phase	NOUN
ejpam-5262	214	6	,	,	PUNCT
ejpam-5262	214	7	for	for	ADP
ejpam-5262	214	8	interpolation	interpolation	NOUN
ejpam-5262	214	9	polynomial	polynomial	ADJ
ejpam-5262	214	10	ft(x	ft(x	NOUN
ejpam-5262	214	11	)	)	PUNCT
ejpam-5262	214	12	.	.	PUNCT
ejpam-5262	215	1	the	the	DET
ejpam-5262	215	2	skew	skew	ADJ
ejpam-5262	215	3	lagrange	lagrange	NOUN
ejpam-5262	215	4	formula	formula	NOUN
ejpam-5262	215	5	:	:	PUNCT
ejpam-5262	215	6	ft(x	ft(x	NUM
ejpam-5262	215	7	)	)	PUNCT
ejpam-5262	216	1	=	=	PUNCT
ejpam-5262	217	1	t∑	t∑	PROPN
ejpam-5262	217	2	i=1	i=1	X
ejpam-5262	218	1	y(t	y(t	PROPN
ejpam-5262	218	2	,	,	PUNCT
ejpam-5262	218	3	i	i	NOUN
ejpam-5262	218	4	)	)	PUNCT
ejpam-5262	218	5	(	(	PUNCT
ejpam-5262	218	6	li(xi	li(xi	PROPN
ejpam-5262	218	7	)	)	PUNCT
ejpam-5262	218	8	)	)	PUNCT
ejpam-5262	219	1	−1	−1	NOUN
ejpam-5262	219	2	li(x	li(x	NOUN
ejpam-5262	219	3	)	)	PUNCT
ejpam-5262	219	4	with	with	ADP
ejpam-5262	219	5	li(x	li(x	NUM
ejpam-5262	219	6	)	)	PUNCT
ejpam-5262	219	7	is	be	AUX
ejpam-5262	219	8	the	the	DET
ejpam-5262	219	9	monic	monic	ADJ
ejpam-5262	219	10	minimal	minimal	ADJ
ejpam-5262	219	11	polynomial	polynomial	ADJ
ejpam-5262	219	12	such	such	ADJ
ejpam-5262	219	13	that	that	PRON
ejpam-5262	219	14	li(xj	li(xj	ADJ
ejpam-5262	219	15	)	)	PUNCT
ejpam-5262	220	1	=	=	SYM
ejpam-5262	220	2	0	0	PUNCT
ejpam-5262	221	1	for	for	SCONJ
ejpam-5262	221	2	i	i	PRON
ejpam-5262	221	3	̸=	̸=	PROPN
ejpam-5262	221	4	j.	j.	PROPN
ejpam-5262	221	5	first	first	PROPN
ejpam-5262	221	6	,	,	PUNCT
ejpam-5262	221	7	determine	determine	VERB
ejpam-5262	221	8	the	the	DET
ejpam-5262	221	9	number	number	NOUN
ejpam-5262	221	10	of	of	ADP
ejpam-5262	221	11	operation	operation	NOUN
ejpam-5262	221	12	for	for	ADP
ejpam-5262	221	13	finding	find	VERB
ejpam-5262	221	14	li(x	li(x	NOUN
ejpam-5262	221	15	)	)	PUNCT
ejpam-5262	221	16	.	.	PUNCT
ejpam-5262	222	1	for	for	ADP
ejpam-5262	222	2	the	the	DET
ejpam-5262	222	3	worst	bad	ADJ
ejpam-5262	222	4	case	case	NOUN
ejpam-5262	222	5	the	the	DET
ejpam-5262	222	6	maximum	maximum	NOUN
ejpam-5262	222	7	t	t	PROPN
ejpam-5262	222	8	=	=	SYM
ejpam-5262	222	9	n.	n.	PROPN
ejpam-5262	222	10	assume	assume	VERB
ejpam-5262	222	11	the	the	DET
ejpam-5262	222	12	number	number	NOUN
ejpam-5262	222	13	of	of	ADP
ejpam-5262	222	14	operation	operation	NOUN
ejpam-5262	222	15	for	for	ADP
ejpam-5262	222	16	finding	find	VERB
ejpam-5262	222	17	li(x	li(x	NOUN
ejpam-5262	222	18	)	)	PUNCT
ejpam-5262	222	19	that	that	PRON
ejpam-5262	222	20	vanish	vanish	VERB
ejpam-5262	222	21	2	2	NUM
ejpam-5262	222	22	elements	element	NOUN
ejpam-5262	222	23	in	in	ADP
ejpam-5262	222	24	∆	∆	PROPN
ejpam-5262	222	25	is	be	AUX
ejpam-5262	222	26	a	a	DET
ejpam-5262	222	27	constant	constant	ADJ
ejpam-5262	222	28	value	value	NOUN
ejpam-5262	222	29	z.	z.	NOUN
ejpam-5262	222	30	by	by	ADP
ejpam-5262	222	31	adding	add	VERB
ejpam-5262	222	32	1	1	NUM
ejpam-5262	222	33	element	element	NOUN
ejpam-5262	222	34	in	in	ADP
ejpam-5262	222	35	∆	∆	PROPN
ejpam-5262	222	36	,	,	PUNCT
ejpam-5262	222	37	the	the	DET
ejpam-5262	222	38	total	total	ADJ
ejpam-5262	222	39	operation	operation	NOUN
ejpam-5262	222	40	for	for	ADP
ejpam-5262	222	41	finding	find	VERB
ejpam-5262	222	42	li(x	li(x	NUM
ejpam-5262	222	43	)	)	PUNCT
ejpam-5262	222	44	is	be	AUX
ejpam-5262	222	45	added	add	VERB
ejpam-5262	222	46	by	by	ADP
ejpam-5262	222	47	evaluation	evaluation	NOUN
ejpam-5262	222	48	of	of	ADP
ejpam-5262	222	49	new	new	ADJ
ejpam-5262	222	50	element	element	NOUN
ejpam-5262	222	51	on	on	ADP
ejpam-5262	222	52	previous	previous	ADJ
ejpam-5262	222	53	generated	generate	VERB
ejpam-5262	222	54	function	function	NOUN
ejpam-5262	222	55	.	.	PUNCT
ejpam-5262	223	1	based	base	VERB
ejpam-5262	223	2	on	on	ADP
ejpam-5262	223	3	evaluation	evaluation	NOUN
ejpam-5262	223	4	of	of	ADP
ejpam-5262	223	5	skew	skew	ADJ
ejpam-5262	223	6	polynomials	polynomial	NOUN
ejpam-5262	223	7	,	,	PUNCT
ejpam-5262	223	8	the	the	DET
ejpam-5262	223	9	number	number	NOUN
ejpam-5262	223	10	operation	operation	NOUN
ejpam-5262	223	11	of	of	ADP
ejpam-5262	223	12	finding	find	VERB
ejpam-5262	223	13	li(x	li(x	NOUN
ejpam-5262	223	14	):	):	PUNCT
ejpam-5262	223	15	t	t	PROPN
ejpam-5262	223	16	(	(	PUNCT
ejpam-5262	223	17	n	n	CCONJ
ejpam-5262	223	18	)	)	PUNCT
ejpam-5262	223	19	=	=	SYM
ejpam-5262	223	20	z	z	NOUN
ejpam-5262	224	1	+	+	CCONJ
ejpam-5262	224	2	n∑	n∑	ADJ
ejpam-5262	224	3	i=3	i=3	ADP
ejpam-5262	224	4	z	z	NOUN
ejpam-5262	225	1	+	+	CCONJ
ejpam-5262	225	2	αi2	αi2	VERB
ejpam-5262	225	3	+	+	NUM
ejpam-5262	225	4	βi+	βi+	NOUN
ejpam-5262	225	5	γ	γ	NOUN
ejpam-5262	225	6	for	for	ADP
ejpam-5262	225	7	some	some	DET
ejpam-5262	225	8	constants	constant	NOUN
ejpam-5262	225	9	α	α	NOUN
ejpam-5262	225	10	,	,	PUNCT
ejpam-5262	225	11	β	β	NOUN
ejpam-5262	225	12	,	,	PUNCT
ejpam-5262	225	13	and	and	CCONJ
ejpam-5262	225	14	γ	γ	X
ejpam-5262	225	15	.	.	PROPN
ejpam-5262	226	1	then	then	ADV
ejpam-5262	226	2	,	,	PUNCT
ejpam-5262	226	3	t	t	PROPN
ejpam-5262	226	4	(	(	PUNCT
ejpam-5262	226	5	n	n	CCONJ
ejpam-5262	226	6	)	)	PUNCT
ejpam-5262	227	1	=	=	VERB
ejpam-5262	227	2	c3n	c3n	NOUN
ejpam-5262	227	3	3	3	NUM
ejpam-5262	228	1	+	+	NUM
ejpam-5262	228	2	c2n	c2n	NOUN
ejpam-5262	228	3	2	2	NUM
ejpam-5262	228	4	+	+	CCONJ
ejpam-5262	228	5	c1n+	c1n+	NOUN
ejpam-5262	228	6	c0	c0	NOUN
ejpam-5262	228	7	for	for	ADP
ejpam-5262	228	8	some	some	DET
ejpam-5262	228	9	constants	constant	NOUN
ejpam-5262	228	10	c0	c0	NOUN
ejpam-5262	228	11	,	,	PUNCT
ejpam-5262	228	12	c1	c1	PROPN
ejpam-5262	228	13	,	,	PUNCT
ejpam-5262	228	14	c2	c2	PROPN
ejpam-5262	228	15	,	,	PUNCT
ejpam-5262	228	16	and	and	CCONJ
ejpam-5262	228	17	c3	c3	PROPN
ejpam-5262	228	18	.	.	PUNCT
ejpam-5262	228	19	assume	assume	VERB
ejpam-5262	228	20	the	the	DET
ejpam-5262	228	21	number	number	NOUN
ejpam-5262	228	22	of	of	ADP
ejpam-5262	228	23	operation	operation	NOUN
ejpam-5262	228	24	for	for	ADP
ejpam-5262	228	25	evaluation	evaluation	NOUN
ejpam-5262	228	26	xi	xi	ADP
ejpam-5262	228	27	on	on	ADP
ejpam-5262	228	28	li(x	li(x	NUM
ejpam-5262	228	29	)	)	PUNCT
ejpam-5262	228	30	is	be	AUX
ejpam-5262	228	31	d2n	d2n	PROPN
ejpam-5262	228	32	2	2	NUM
ejpam-5262	228	33	+	+	CCONJ
ejpam-5262	228	34	d1n+	d1n+	NOUN
ejpam-5262	228	35	d0	d0	NOUN
ejpam-5262	228	36	.	.	PUNCT
ejpam-5262	229	1	number	number	NOUN
ejpam-5262	229	2	of	of	ADP
ejpam-5262	229	3	arithmetic	arithmetic	ADJ
ejpam-5262	229	4	operations	operation	NOUN
ejpam-5262	229	5	in	in	ADP
ejpam-5262	229	6	skew	skew	ADJ
ejpam-5262	229	7	lagrange	lagrange	NOUN
ejpam-5262	229	8	interpolation	interpolation	NOUN
ejpam-5262	229	9	:	:	PUNCT
ejpam-5262	229	10	t	t	PROPN
ejpam-5262	229	11	(	(	PUNCT
ejpam-5262	229	12	n	n	CCONJ
ejpam-5262	229	13	)	)	PUNCT
ejpam-5262	229	14	=	=	PUNCT
ejpam-5262	230	1	(	(	PUNCT
ejpam-5262	230	2	n−	n−	NOUN
ejpam-5262	230	3	1)(c3n	1)(c3n	NUM
ejpam-5262	230	4	3	3	NUM
ejpam-5262	230	5	+	+	CCONJ
ejpam-5262	230	6	c2n	c2n	NOUN
ejpam-5262	230	7	2	2	NUM
ejpam-5262	230	8	+	+	CCONJ
ejpam-5262	230	9	c1n+	c1n+	NOUN
ejpam-5262	230	10	c0	c0	NOUN
ejpam-5262	230	11	+	+	CCONJ
ejpam-5262	230	12	d2n	d2n	PROPN
ejpam-5262	230	13	2	2	NUM
ejpam-5262	230	14	+	+	NUM
ejpam-5262	230	15	d1n+	d1n+	NOUN
ejpam-5262	230	16	d0	d0	NOUN
ejpam-5262	230	17	+	+	CCONJ
ejpam-5262	230	18	3	3	X
ejpam-5262	230	19	)	)	PUNCT
ejpam-5262	230	20	references	reference	NOUN
ejpam-5262	230	21	1760	1760	NUM
ejpam-5262	230	22	the	the	DET
ejpam-5262	230	23	complexity	complexity	NOUN
ejpam-5262	230	24	is	be	AUX
ejpam-5262	230	25	o(n4	o(n4	NOUN
ejpam-5262	230	26	)	)	PUNCT
ejpam-5262	230	27	.	.	PUNCT
ejpam-5262	231	1	based	base	VERB
ejpam-5262	231	2	on	on	ADP
ejpam-5262	231	3	the	the	DET
ejpam-5262	231	4	complexity	complexity	NOUN
ejpam-5262	231	5	analysis	analysis	NOUN
ejpam-5262	231	6	of	of	ADP
ejpam-5262	231	7	the	the	DET
ejpam-5262	231	8	algorithm	algorithm	NOUN
ejpam-5262	231	9	,	,	PUNCT
ejpam-5262	231	10	it	it	PRON
ejpam-5262	231	11	is	be	AUX
ejpam-5262	231	12	found	find	VERB
ejpam-5262	231	13	that	that	SCONJ
ejpam-5262	231	14	the	the	DET
ejpam-5262	231	15	algorithmic	algorithmic	ADJ
ejpam-5262	231	16	complexity	complexity	NOUN
ejpam-5262	231	17	during	during	ADP
ejpam-5262	231	18	the	the	DET
ejpam-5262	231	19	share	share	NOUN
ejpam-5262	231	20	generation	generation	NOUN
ejpam-5262	231	21	phase	phase	NOUN
ejpam-5262	231	22	is	be	AUX
ejpam-5262	231	23	the	the	DET
ejpam-5262	231	24	same	same	ADJ
ejpam-5262	231	25	for	for	ADP
ejpam-5262	231	26	both	both	DET
ejpam-5262	231	27	secret	secret	ADJ
ejpam-5262	231	28	sharing	sharing	NOUN
ejpam-5262	231	29	schemes	scheme	NOUN
ejpam-5262	231	30	,	,	PUNCT
ejpam-5262	231	31	whether	whether	SCONJ
ejpam-5262	231	32	using	use	VERB
ejpam-5262	231	33	regular	regular	ADJ
ejpam-5262	231	34	polynomials	polynomial	NOUN
ejpam-5262	231	35	or	or	CCONJ
ejpam-5262	231	36	skew	skew	NOUN
ejpam-5262	231	37	polynomials	polynomial	VERB
ejpam-5262	231	38	the	the	DET
ejpam-5262	231	39	algorithm	algorithm	NOUN
ejpam-5262	231	40	complexity	complexity	NOUN
ejpam-5262	231	41	=	=	SYM
ejpam-5262	231	42	o(n4	o(n4	NOUN
ejpam-5262	231	43	)	)	PUNCT
ejpam-5262	231	44	.	.	PUNCT
ejpam-5262	232	1	however	however	ADV
ejpam-5262	232	2	,	,	PUNCT
ejpam-5262	232	3	in	in	ADP
ejpam-5262	232	4	the	the	DET
ejpam-5262	232	5	secret	secret	ADJ
ejpam-5262	232	6	reconstruction	reconstruction	NOUN
ejpam-5262	232	7	phase	phase	NOUN
ejpam-5262	232	8	,	,	PUNCT
ejpam-5262	232	9	there	there	PRON
ejpam-5262	232	10	is	be	VERB
ejpam-5262	232	11	an	an	DET
ejpam-5262	232	12	increase	increase	NOUN
ejpam-5262	232	13	in	in	ADP
ejpam-5262	232	14	algorithmic	algorithmic	ADJ
ejpam-5262	232	15	complexity	complexity	NOUN
ejpam-5262	232	16	in	in	ADP
ejpam-5262	232	17	the	the	DET
ejpam-5262	232	18	scheme	scheme	NOUN
ejpam-5262	232	19	using	use	VERB
ejpam-5262	232	20	skew	skew	ADJ
ejpam-5262	232	21	polynomials	polynomial	NOUN
ejpam-5262	232	22	compared	compare	VERB
ejpam-5262	232	23	to	to	ADP
ejpam-5262	232	24	using	use	VERB
ejpam-5262	232	25	regular	regular	ADJ
ejpam-5262	232	26	polynomials	polynomial	NOUN
ejpam-5262	232	27	,	,	PUNCT
ejpam-5262	232	28	rising	rise	VERB
ejpam-5262	232	29	from	from	ADP
ejpam-5262	232	30	o(n2	o(n2	NOUN
ejpam-5262	232	31	)	)	PUNCT
ejpam-5262	232	32	to	to	PART
ejpam-5262	232	33	o(n4	o(n4	VERB
ejpam-5262	232	34	)	)	PUNCT
ejpam-5262	232	35	.	.	PUNCT
ejpam-5262	233	1	4	4	X
ejpam-5262	233	2	.	.	X
ejpam-5262	233	3	conclusion	conclusion	NOUN
ejpam-5262	233	4	threshold	threshold	VERB
ejpam-5262	233	5	changeable	changeable	ADJ
ejpam-5262	233	6	secret	secret	ADJ
ejpam-5262	233	7	sharing	sharing	NOUN
ejpam-5262	233	8	(	(	PUNCT
ejpam-5262	233	9	tcss	tcss	NOUN
ejpam-5262	233	10	)	)	PUNCT
ejpam-5262	233	11	can	can	AUX
ejpam-5262	233	12	be	be	AUX
ejpam-5262	233	13	performed	perform	VERB
ejpam-5262	233	14	via	via	ADP
ejpam-5262	233	15	skew	skew	ADJ
ejpam-5262	233	16	polynomials	polynomial	NOUN
ejpam-5262	233	17	.	.	PUNCT
ejpam-5262	234	1	comparison	comparison	NOUN
ejpam-5262	234	2	with	with	ADP
ejpam-5262	234	3	the	the	DET
ejpam-5262	234	4	regular	regular	ADJ
ejpam-5262	234	5	polynomial	polynomial	NOUN
ejpam-5262	234	6	,	,	PUNCT
ejpam-5262	234	7	the	the	DET
ejpam-5262	234	8	algorithm	algorithm	NOUN
ejpam-5262	234	9	complexity	complexity	NOUN
ejpam-5262	234	10	remains	remain	VERB
ejpam-5262	234	11	stable	stable	ADJ
ejpam-5262	234	12	during	during	ADP
ejpam-5262	234	13	share	share	NOUN
ejpam-5262	234	14	generating	generating	NOUN
ejpam-5262	234	15	phase	phase	NOUN
ejpam-5262	234	16	but	but	CCONJ
ejpam-5262	234	17	it	it	PRON
ejpam-5262	234	18	has	have	AUX
ejpam-5262	234	19	increasing	increase	VERB
ejpam-5262	234	20	significant	significant	ADJ
ejpam-5262	234	21	during	during	ADP
ejpam-5262	234	22	secret	secret	ADJ
ejpam-5262	234	23	reconstruction	reconstruction	NOUN
ejpam-5262	234	24	phase	phase	NOUN
ejpam-5262	234	25	.	.	PUNCT
ejpam-5262	235	1	this	this	PRON
ejpam-5262	235	2	provides	provide	VERB
ejpam-5262	235	3	an	an	DET
ejpam-5262	235	4	advantage	advantage	NOUN
ejpam-5262	235	5	in	in	ADP
ejpam-5262	235	6	preventing	prevent	VERB
ejpam-5262	235	7	adversaries	adversary	NOUN
ejpam-5262	235	8	from	from	ADP
ejpam-5262	235	9	easily	easily	ADV
ejpam-5262	235	10	reconstructing	reconstruct	VERB
ejpam-5262	235	11	the	the	DET
ejpam-5262	235	12	secret	secret	NOUN
ejpam-5262	235	13	but	but	CCONJ
ejpam-5262	235	14	it	it	PRON
ejpam-5262	235	15	does	do	AUX
ejpam-5262	235	16	n’t	not	PART
ejpam-5262	235	17	quite	quite	ADV
ejpam-5262	235	18	affect	affect	VERB
ejpam-5262	235	19	to	to	PART
ejpam-5262	235	20	dealer	dealer	NOUN
ejpam-5262	235	21	for	for	ADP
ejpam-5262	235	22	generating	generate	VERB
ejpam-5262	235	23	shares	share	NOUN
ejpam-5262	235	24	.	.	PUNCT
ejpam-5262	236	1	acknowledgements	acknowledgement	NOUN
ejpam-5262	236	2	this	this	DET
ejpam-5262	236	3	work	work	NOUN
ejpam-5262	236	4	was	be	AUX
ejpam-5262	236	5	funded	fund	VERB
ejpam-5262	236	6	by	by	ADP
ejpam-5262	236	7	the	the	DET
ejpam-5262	236	8	research	research	NOUN
ejpam-5262	236	9	and	and	CCONJ
ejpam-5262	236	10	community	community	NOUN
ejpam-5262	236	11	service	service	NOUN
ejpam-5262	236	12	program	program	NOUN
ejpam-5262	236	13	of	of	ADP
ejpam-5262	236	14	the	the	DET
ejpam-5262	236	15	indonesian	indonesian	PROPN
ejpam-5262	236	16	ministry	ministry	PROPN
ejpam-5262	236	17	of	of	ADP
ejpam-5262	236	18	education	education	PROPN
ejpam-5262	236	19	,	,	PUNCT
ejpam-5262	236	20	culture	culture	NOUN
ejpam-5262	236	21	,	,	PUNCT
ejpam-5262	236	22	research	research	NOUN
ejpam-5262	236	23	and	and	CCONJ
ejpam-5262	236	24	technology	technology	NOUN
ejpam-5262	236	25	2023	2023	NUM
ejpam-5262	236	26	.	.	PUNCT
ejpam-5262	237	1	the	the	DET
ejpam-5262	237	2	author	author	NOUN
ejpam-5262	237	3	also	also	ADV
ejpam-5262	237	4	expresses	express	VERB
ejpam-5262	237	5	gratitude	gratitude	NOUN
ejpam-5262	237	6	to	to	ADP
ejpam-5262	237	7	institut	institut	PROPN
ejpam-5262	237	8	teknologi	teknologi	PROPN
ejpam-5262	237	9	sumatera	sumatera	PROPN
ejpam-5262	237	10	for	for	ADP
ejpam-5262	237	11	funding	fund	VERB
ejpam-5262	237	12	the	the	DET
ejpam-5262	237	13	author	author	NOUN
ejpam-5262	237	14	’s	’s	PART
ejpam-5262	237	15	doctoral	doctoral	ADJ
ejpam-5262	237	16	studies	study	NOUN
ejpam-5262	237	17	during	during	ADP
ejpam-5262	237	18	the	the	DET
ejpam-5262	237	19	completion	completion	NOUN
ejpam-5262	237	20	of	of	ADP
ejpam-5262	237	21	this	this	DET
ejpam-5262	237	22	research	research	NOUN
ejpam-5262	237	23	.	.	PUNCT
ejpam-5262	238	1	references	reference	NOUN
ejpam-5262	238	2	[	[	X
ejpam-5262	238	3	1	1	X
ejpam-5262	238	4	]	]	X
ejpam-5262	238	5	g.r	g.r	PROPN
ejpam-5262	238	6	.	.	PUNCT
ejpam-5262	238	7	blakley	blakley	PROPN
ejpam-5262	238	8	.	.	PUNCT
ejpam-5262	239	1	safeguarding	safeguard	VERB
ejpam-5262	239	2	cryptographic	cryptographic	ADJ
ejpam-5262	239	3	keys	key	NOUN
ejpam-5262	239	4	.	.	PUNCT
ejpam-5262	240	1	in	in	ADP
ejpam-5262	240	2	proc	proc	PROPN
ejpam-5262	240	3	.	.	PUNCT
ejpam-5262	241	1	afips	afips	PROPN
ejpam-5262	241	2	ncc	ncc	PROPN
ejpam-5262	241	3	,	,	PUNCT
ejpam-5262	241	4	volume	volume	NOUN
ejpam-5262	241	5	48	48	NUM
ejpam-5262	241	6	,	,	PUNCT
ejpam-5262	241	7	pages	page	NOUN
ejpam-5262	241	8	313–317	313–317	NUM
ejpam-5262	241	9	,	,	PUNCT
ejpam-5262	241	10	1979	1979	NUM
ejpam-5262	241	11	.	.	PUNCT
ejpam-5262	242	1	[	[	X
ejpam-5262	242	2	2	2	NUM
ejpam-5262	242	3	]	]	X
ejpam-5262	242	4	f.	f.	PROPN
ejpam-5262	242	5	ding	ding	PROPN
ejpam-5262	242	6	,	,	PUNCT
ejpam-5262	242	7	y.	y.	PROPN
ejpam-5262	242	8	long	long	ADV
ejpam-5262	242	9	,	,	PUNCT
ejpam-5262	242	10	and	and	CCONJ
ejpam-5262	242	11	p.	p.	PROPN
ejpam-5262	242	12	wu	wu	PROPN
ejpam-5262	242	13	.	.	PUNCT
ejpam-5262	243	1	study	study	NOUN
ejpam-5262	243	2	on	on	ADP
ejpam-5262	243	3	secret	secret	ADJ
ejpam-5262	243	4	sharing	sharing	NOUN
ejpam-5262	243	5	for	for	ADP
ejpam-5262	243	6	sm2	sm2	VERB
ejpam-5262	243	7	digital	digital	ADJ
ejpam-5262	243	8	signature	signature	NOUN
ejpam-5262	243	9	and	and	CCONJ
ejpam-5262	243	10	its	its	PRON
ejpam-5262	243	11	application	application	NOUN
ejpam-5262	243	12	.	.	PUNCT
ejpam-5262	244	1	in	in	ADP
ejpam-5262	244	2	2018	2018	NUM
ejpam-5262	244	3	14th	14th	ADJ
ejpam-5262	244	4	international	international	ADJ
ejpam-5262	244	5	conference	conference	NOUN
ejpam-5262	244	6	on	on	ADP
ejpam-5262	244	7	computational	computational	ADJ
ejpam-5262	244	8	intelligence	intelligence	NOUN
ejpam-5262	244	9	and	and	CCONJ
ejpam-5262	244	10	security	security	NOUN
ejpam-5262	244	11	(	(	PUNCT
ejpam-5262	244	12	cis	cis	NOUN
ejpam-5262	244	13	)	)	PUNCT
ejpam-5262	244	14	,	,	PUNCT
ejpam-5262	244	15	pages	page	NOUN
ejpam-5262	244	16	205–209	205–209	NUM
ejpam-5262	244	17	,	,	PUNCT
ejpam-5262	244	18	2018	2018	NUM
ejpam-5262	244	19	.	.	PUNCT
ejpam-5262	245	1	[	[	X
ejpam-5262	245	2	3	3	X
ejpam-5262	245	3	]	]	X
ejpam-5262	245	4	a.l	a.l	PROPN
ejpam-5262	245	5	.	.	PUNCT
ejpam-5262	245	6	erić.	erić.	ADJ
ejpam-5262	245	7	polynomial	polynomial	ADJ
ejpam-5262	245	8	interpolation	interpolation	NOUN
ejpam-5262	245	9	problem	problem	NOUN
ejpam-5262	245	10	for	for	ADP
ejpam-5262	245	11	skew	skew	ADJ
ejpam-5262	245	12	polynomials	polynomial	NOUN
ejpam-5262	245	13	.	.	PUNCT
ejpam-5262	246	1	applicable	applicable	ADJ
ejpam-5262	246	2	analysis	analysis	NOUN
ejpam-5262	246	3	and	and	CCONJ
ejpam-5262	246	4	discrete	discrete	ADJ
ejpam-5262	246	5	mathematics	mathematic	NOUN
ejpam-5262	246	6	,	,	PUNCT
ejpam-5262	246	7	pages	page	NOUN
ejpam-5262	246	8	403–414	403–414	NUM
ejpam-5262	246	9	,	,	PUNCT
ejpam-5262	246	10	2007	2007	NUM
ejpam-5262	246	11	.	.	PUNCT
ejpam-5262	247	1	[	[	X
ejpam-5262	247	2	4	4	X
ejpam-5262	247	3	]	]	X
ejpam-5262	247	4	d.	d.	PROPN
ejpam-5262	247	5	escudero	escudero	PROPN
ejpam-5262	247	6	.	.	PUNCT
ejpam-5262	248	1	an	an	DET
ejpam-5262	248	2	introduction	introduction	NOUN
ejpam-5262	248	3	to	to	ADP
ejpam-5262	248	4	secret	secret	ADJ
ejpam-5262	248	5	-	-	PUNCT
ejpam-5262	248	6	sharing	sharing	NOUN
ejpam-5262	248	7	-	-	PUNCT
ejpam-5262	248	8	based	base	VERB
ejpam-5262	248	9	secure	secure	ADJ
ejpam-5262	248	10	multiparty	multiparty	ADJ
ejpam-5262	248	11	computation	computation	NOUN
ejpam-5262	248	12	.	.	PUNCT
ejpam-5262	249	1	cryptology	cryptology	NOUN
ejpam-5262	249	2	eprint	eprint	NOUN
ejpam-5262	249	3	archive	archive	NOUN
ejpam-5262	249	4	,	,	PUNCT
ejpam-5262	249	5	2022	2022	NUM
ejpam-5262	249	6	.	.	PUNCT
ejpam-5262	250	1	[	[	X
ejpam-5262	250	2	5	5	X
ejpam-5262	250	3	]	]	X
ejpam-5262	250	4	h.	h.	NOUN
ejpam-5262	250	5	gluesing	gluesing	NOUN
ejpam-5262	250	6	-	-	PUNCT
ejpam-5262	250	7	luerssen	luerssen	NOUN
ejpam-5262	250	8	.	.	PUNCT
ejpam-5262	251	1	skew	skew	ADJ
ejpam-5262	251	2	-	-	PUNCT
ejpam-5262	251	3	polynomial	polynomial	ADJ
ejpam-5262	251	4	rings	ring	NOUN
ejpam-5262	251	5	and	and	CCONJ
ejpam-5262	251	6	skew	skew	ADJ
ejpam-5262	251	7	-	-	PUNCT
ejpam-5262	251	8	cyclic	cyclic	ADJ
ejpam-5262	251	9	codes	code	NOUN
ejpam-5262	251	10	.	.	PUNCT
ejpam-5262	252	1	arxiv	arxiv	PROPN
ejpam-5262	252	2	preprint	preprint	NOUN
ejpam-5262	252	3	arxiv:1902.03516	arxiv:1902.03516	NUM
ejpam-5262	252	4	,	,	PUNCT
ejpam-5262	252	5	2019	2019	NUM
ejpam-5262	252	6	.	.	PUNCT
ejpam-5262	253	1	[	[	X
ejpam-5262	253	2	6	6	NUM
ejpam-5262	253	3	]	]	PUNCT
ejpam-5262	253	4	g.	g.	PROPN
ejpam-5262	253	5	hanaoka	hanaoka	PROPN
ejpam-5262	253	6	.	.	PUNCT
ejpam-5262	254	1	a	a	DET
ejpam-5262	254	2	hierarchical	hierarchical	ADJ
ejpam-5262	254	3	non	non	ADJ
ejpam-5262	254	4	-	-	ADJ
ejpam-5262	254	5	interactive	interactive	ADJ
ejpam-5262	254	6	key	key	ADJ
ejpam-5262	254	7	-	-	PUNCT
ejpam-5262	254	8	sharing	sharing	NOUN
ejpam-5262	254	9	scheme	scheme	NOUN
ejpam-5262	254	10	with	with	ADP
ejpam-5262	254	11	low	low	ADJ
ejpam-5262	254	12	memory	memory	NOUN
ejpam-5262	254	13	size	size	NOUN
ejpam-5262	254	14	and	and	CCONJ
ejpam-5262	254	15	high	high	ADJ
ejpam-5262	254	16	resistance	resistance	NOUN
ejpam-5262	254	17	against	against	ADP
ejpam-5262	254	18	collusion	collusion	NOUN
ejpam-5262	254	19	attacks	attack	NOUN
ejpam-5262	254	20	.	.	PUNCT
ejpam-5262	255	1	the	the	DET
ejpam-5262	255	2	computer	computer	NOUN
ejpam-5262	255	3	journal	journal	NOUN
ejpam-5262	255	4	,	,	PUNCT
ejpam-5262	255	5	45:293–303	45:293–303	PROPN
ejpam-5262	255	6	,	,	PUNCT
ejpam-5262	255	7	2002	2002	NUM
ejpam-5262	255	8	.	.	PUNCT
ejpam-5262	256	1	references	reference	NOUN
ejpam-5262	256	2	1761	1761	NUM
ejpam-5262	256	3	[	[	X
ejpam-5262	256	4	7	7	NUM
ejpam-5262	256	5	]	]	X
ejpam-5262	256	6	d.	d.	PROPN
ejpam-5262	256	7	johnson	johnson	PROPN
ejpam-5262	256	8	.	.	PUNCT
ejpam-5262	257	1	secret	secret	ADJ
ejpam-5262	257	2	sharing	sharing	NOUN
ejpam-5262	257	3	schemes	scheme	NOUN
ejpam-5262	257	4	and	and	CCONJ
ejpam-5262	257	5	noncommutative	noncommutative	ADJ
ejpam-5262	257	6	polynomial	polynomial	ADJ
ejpam-5262	257	7	interpolation	interpolation	NOUN
ejpam-5262	257	8	.	.	PUNCT
ejpam-5262	258	1	university	university	NOUN
ejpam-5262	258	2	of	of	ADP
ejpam-5262	258	3	manitoba	manitoba	PROPN
ejpam-5262	258	4	,	,	PUNCT
ejpam-5262	258	5	canada	canada	PROPN
ejpam-5262	258	6	,	,	PUNCT
ejpam-5262	258	7	2018	2018	NUM
ejpam-5262	258	8	.	.	PUNCT
ejpam-5262	259	1	[	[	X
ejpam-5262	259	2	8	8	NUM
ejpam-5262	259	3	]	]	PUNCT
ejpam-5262	259	4	k.	k.	PROPN
ejpam-5262	259	5	m.	m.	PROPN
ejpam-5262	259	6	martin	martin	PROPN
ejpam-5262	259	7	,	,	PUNCT
ejpam-5262	259	8	j.	j.	PROPN
ejpam-5262	259	9	pieprzyk	pieprzyk	PROPN
ejpam-5262	259	10	,	,	PUNCT
ejpam-5262	259	11	r.	r.	PROPN
ejpam-5262	259	12	safavi	safavi	PROPN
ejpam-5262	259	13	-	-	PUNCT
ejpam-5262	259	14	naini	naini	NOUN
ejpam-5262	259	15	,	,	PUNCT
ejpam-5262	259	16	and	and	CCONJ
ejpam-5262	259	17	h.	h.	PROPN
ejpam-5262	259	18	wang	wang	PROPN
ejpam-5262	259	19	.	.	PUNCT
ejpam-5262	260	1	changing	change	VERB
ejpam-5262	260	2	thresholds	threshold	NOUN
ejpam-5262	260	3	in	in	ADP
ejpam-5262	260	4	the	the	DET
ejpam-5262	260	5	absence	absence	NOUN
ejpam-5262	260	6	of	of	ADP
ejpam-5262	260	7	secure	secure	ADJ
ejpam-5262	260	8	channels	channel	NOUN
ejpam-5262	260	9	.	.	PUNCT
ejpam-5262	261	1	in	in	ADP
ejpam-5262	261	2	australas	australa	NOUN
ejpam-5262	261	3	.	.	PUNCT
ejpam-5262	262	1	conf	conf	PROPN
ejpam-5262	262	2	.	.	PUNCT
ejpam-5262	262	3	inf	inf	PROPN
ejpam-5262	262	4	.	.	PROPN
ejpam-5262	262	5	secur	secur	PROPN
ejpam-5262	262	6	.	.	PUNCT
ejpam-5262	263	1	privacy	privacy	NOUN
ejpam-5262	263	2	,	,	PUNCT
ejpam-5262	263	3	springer	springer	NOUN
ejpam-5262	263	4	,	,	PUNCT
ejpam-5262	263	5	volume	volume	NOUN
ejpam-5262	263	6	095	095	NUM
ejpam-5262	263	7	,	,	PUNCT
ejpam-5262	263	8	pages	page	NOUN
ejpam-5262	263	9	177–178	177–178	NUM
ejpam-5262	263	10	,	,	PUNCT
ejpam-5262	263	11	1999	1999	NUM
ejpam-5262	263	12	.	.	PUNCT
ejpam-5262	264	1	[	[	X
ejpam-5262	264	2	9	9	NUM
ejpam-5262	264	3	]	]	PUNCT
ejpam-5262	264	4	k.	k.	PROPN
ejpam-5262	264	5	meng	meng	PROPN
ejpam-5262	264	6	,	,	PUNCT
ejpam-5262	264	7	f.	f.	PROPN
ejpam-5262	264	8	miao	miao	PROPN
ejpam-5262	264	9	,	,	PUNCT
ejpam-5262	264	10	w.	w.	PROPN
ejpam-5262	264	11	huang	huang	PROPN
ejpam-5262	264	12	,	,	PUNCT
ejpam-5262	264	13	and	and	CCONJ
ejpam-5262	264	14	y.	y.	PROPN
ejpam-5262	264	15	xiong	xiong	PROPN
ejpam-5262	264	16	.	.	PUNCT
ejpam-5262	265	1	threshold	threshold	VERB
ejpam-5262	265	2	changeable	changeable	ADJ
ejpam-5262	265	3	secret	secret	ADJ
ejpam-5262	265	4	sharing	sharing	NOUN
ejpam-5262	265	5	with	with	ADP
ejpam-5262	265	6	secure	secure	ADJ
ejpam-5262	265	7	secret	secret	ADJ
ejpam-5262	265	8	reconstruction	reconstruction	NOUN
ejpam-5262	265	9	.	.	PUNCT
ejpam-5262	266	1	information	information	NOUN
ejpam-5262	266	2	processing	processing	NOUN
ejpam-5262	266	3	letters	letter	NOUN
ejpam-5262	266	4	,	,	PUNCT
ejpam-5262	266	5	157:105928	157:105928	NUM
ejpam-5262	266	6	,	,	PUNCT
ejpam-5262	266	7	2020	2020	NUM
ejpam-5262	266	8	.	.	PUNCT
ejpam-5262	267	1	[	[	X
ejpam-5262	267	2	10	10	NUM
ejpam-5262	267	3	]	]	X
ejpam-5262	267	4	e.	e.	PROPN
ejpam-5262	267	5	noether	noether	PROPN
ejpam-5262	267	6	and	and	CCONJ
ejpam-5262	267	7	w.	w.	PROPN
ejpam-5262	267	8	schmeidler	schmeidler	NOUN
ejpam-5262	267	9	.	.	PUNCT
ejpam-5262	268	1	moduln	moduln	ADV
ejpam-5262	268	2	in	in	ADP
ejpam-5262	268	3	nichtkommutativen	nichtkommutativen	ADJ
ejpam-5262	268	4	bereichen	bereichen	NOUN
ejpam-5262	268	5	,	,	PUNCT
ejpam-5262	268	6	insbesondere	insbesondere	ADP
ejpam-5262	268	7	aus	aus	PROPN
ejpam-5262	268	8	differential	differential	PROPN
ejpam-5262	268	9	-	-	PUNCT
ejpam-5262	268	10	und	und	NOUN
ejpam-5262	268	11	differenzenausdrücken	differenzenausdrücken	VERB
ejpam-5262	268	12	.	.	PROPN
ejpam-5262	268	13	mathematische	mathematische	PROPN
ejpam-5262	268	14	zeitschrift	zeitschrift	PROPN
ejpam-5262	268	15	,	,	PUNCT
ejpam-5262	268	16	8:1–35	8:1–35	NUM
ejpam-5262	268	17	,	,	PUNCT
ejpam-5262	268	18	1920	1920	NUM
ejpam-5262	268	19	.	.	PUNCT
ejpam-5262	269	1	[	[	X
ejpam-5262	269	2	11	11	NUM
ejpam-5262	269	3	]	]	X
ejpam-5262	269	4	o.	o.	PROPN
ejpam-5262	269	5	ore	ore	PROPN
ejpam-5262	269	6	.	.	PUNCT
ejpam-5262	270	1	theory	theory	NOUN
ejpam-5262	270	2	of	of	ADP
ejpam-5262	270	3	non	non	ADJ
ejpam-5262	270	4	-	-	ADJ
ejpam-5262	270	5	commutative	commutative	ADJ
ejpam-5262	270	6	polynomials	polynomial	NOUN
ejpam-5262	270	7	.	.	PUNCT
ejpam-5262	271	1	annals	annal	NOUN
ejpam-5262	271	2	of	of	ADP
ejpam-5262	271	3	mathematics	mathematic	NOUN
ejpam-5262	271	4	,	,	PUNCT
ejpam-5262	271	5	pages	page	NOUN
ejpam-5262	271	6	480–508	480–508	NUM
ejpam-5262	271	7	,	,	PUNCT
ejpam-5262	271	8	1933	1933	NUM
ejpam-5262	271	9	.	.	PUNCT
ejpam-5262	272	1	[	[	X
ejpam-5262	272	2	12	12	NUM
ejpam-5262	272	3	]	]	PUNCT
ejpam-5262	272	4	k.	k.	PROPN
ejpam-5262	272	5	patel	patel	PROPN
ejpam-5262	272	6	.	.	PUNCT
ejpam-5262	273	1	secure	secure	VERB
ejpam-5262	273	2	multiparty	multiparty	ADJ
ejpam-5262	273	3	computation	computation	NOUN
ejpam-5262	273	4	using	use	VERB
ejpam-5262	273	5	secret	secret	ADJ
ejpam-5262	273	6	sharing	sharing	NOUN
ejpam-5262	273	7	.	.	PUNCT
ejpam-5262	274	1	in	in	ADP
ejpam-5262	274	2	2016	2016	NUM
ejpam-5262	274	3	international	international	ADJ
ejpam-5262	274	4	conference	conference	NOUN
ejpam-5262	274	5	on	on	ADP
ejpam-5262	274	6	signal	signal	ADJ
ejpam-5262	274	7	processing	processing	NOUN
ejpam-5262	274	8	,	,	PUNCT
ejpam-5262	274	9	communication	communication	NOUN
ejpam-5262	274	10	,	,	PUNCT
ejpam-5262	274	11	power	power	NOUN
ejpam-5262	274	12	and	and	CCONJ
ejpam-5262	274	13	embedded	embed	VERB
ejpam-5262	274	14	system	system	NOUN
ejpam-5262	274	15	(	(	PUNCT
ejpam-5262	274	16	scopes	scope	NOUN
ejpam-5262	274	17	)	)	PUNCT
ejpam-5262	274	18	,	,	PUNCT
ejpam-5262	274	19	pages	page	NOUN
ejpam-5262	274	20	863–866	863–866	NUM
ejpam-5262	274	21	,	,	PUNCT
ejpam-5262	274	22	2016	2016	NUM
ejpam-5262	274	23	.	.	PUNCT
ejpam-5262	275	1	[	[	X
ejpam-5262	275	2	13	13	NUM
ejpam-5262	275	3	]	]	PUNCT
ejpam-5262	275	4	a.	a.	NOUN
ejpam-5262	275	5	shamir	shamir	PROPN
ejpam-5262	275	6	.	.	PUNCT
ejpam-5262	276	1	how	how	SCONJ
ejpam-5262	276	2	to	to	PART
ejpam-5262	276	3	share	share	VERB
ejpam-5262	276	4	a	a	DET
ejpam-5262	276	5	secret	secret	NOUN
ejpam-5262	276	6	.	.	PUNCT
ejpam-5262	277	1	comm	comm	NOUN
ejpam-5262	277	2	.	.	PUNCT
ejpam-5262	278	1	acm	acm	PROPN
ejpam-5262	278	2	,	,	PUNCT
ejpam-5262	278	3	22:612–613	22:612–613	NUM
ejpam-5262	278	4	,	,	PUNCT
ejpam-5262	278	5	1979	1979	NUM
ejpam-5262	278	6	.	.	PUNCT
ejpam-5262	279	1	[	[	X
ejpam-5262	279	2	14	14	NUM
ejpam-5262	279	3	]	]	PUNCT
ejpam-5262	279	4	t.	t.	PROPN
ejpam-5262	279	5	tassa	tassa	PROPN
ejpam-5262	279	6	and	and	CCONJ
ejpam-5262	279	7	n.	n.	PROPN
ejpam-5262	279	8	dyn	dyn	PROPN
ejpam-5262	279	9	.	.	PUNCT
ejpam-5262	280	1	multipartite	multipartite	ADJ
ejpam-5262	280	2	secret	secret	ADJ
ejpam-5262	280	3	sharing	sharing	NOUN
ejpam-5262	280	4	by	by	ADP
ejpam-5262	280	5	bivariate	bivariate	ADJ
ejpam-5262	280	6	interpolation	interpolation	NOUN
ejpam-5262	280	7	.	.	PUNCT
ejpam-5262	281	1	journal	journal	NOUN
ejpam-5262	281	2	of	of	ADP
ejpam-5262	281	3	cryptology	cryptology	NOUN
ejpam-5262	281	4	,	,	PUNCT
ejpam-5262	281	5	22:227–258	22:227–258	PROPN
ejpam-5262	281	6	,	,	PUNCT
ejpam-5262	281	7	2009	2009	NUM
ejpam-5262	281	8	.	.	PUNCT
ejpam-5262	282	1	[	[	X
ejpam-5262	282	2	15	15	NUM
ejpam-5262	282	3	]	]	X
ejpam-5262	282	4	y.	y.	PROPN
ejpam-5262	282	5	zhang	zhang	PROPN
ejpam-5262	282	6	.	.	PUNCT
ejpam-5262	283	1	a	a	DET
ejpam-5262	283	2	secret	secret	ADJ
ejpam-5262	283	3	sharing	sharing	NOUN
ejpam-5262	283	4	scheme	scheme	NOUN
ejpam-5262	283	5	via	via	ADP
ejpam-5262	283	6	skew	skew	ADJ
ejpam-5262	283	7	polynomials	polynomial	NOUN
ejpam-5262	283	8	.	.	PUNCT
ejpam-5262	284	1	in	in	ADP
ejpam-5262	284	2	2010	2010	NUM
ejpam-5262	284	3	international	international	ADJ
ejpam-5262	284	4	conference	conference	NOUN
ejpam-5262	284	5	on	on	ADP
ejpam-5262	284	6	computational	computational	ADJ
ejpam-5262	284	7	science	science	NOUN
ejpam-5262	284	8	and	and	CCONJ
ejpam-5262	284	9	its	its	PRON
ejpam-5262	284	10	applications	application	NOUN
ejpam-5262	284	11	,	,	PUNCT
ejpam-5262	284	12	pages	page	NOUN
ejpam-5262	284	13	33–38	33–38	NUM
ejpam-5262	284	14	,	,	PUNCT
ejpam-5262	284	15	2010	2010	NUM
ejpam-5262	284	16	.	.	PUNCT