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Date: 2014
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/328476
Description: Motivated by a recent application to hash functions suggested by O. Chevassut, P.-A. Fouque, P. Gaudry and D. Pointcheval, we study the frequency with which groups of points on an elliptic curve over ... More
Reviewed: Reviewed
Date: 2013
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/272086
Description: We show that the reductions modulo primes p ≤ x of the elliptic curve Ea,b : Y² = X³ + aX + b behave as predicted by the Sato-Tate conjecture, on average over integers a and b such that a ∈ A and b ∈ ... More
Reviewed: Reviewed
Date: 2012
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/172505
Description: We give an upper bound on the number of finite fields over which elliptic curves of cryptographic interest with a given embedding degree and small complex multiplication discriminant may exist, and pr ... More
Full Text: Full Text
Reviewed: Reviewed
Date: 2012
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/174485
Description: 6 page(s)
Reviewed: Reviewed
Date: 2008
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/320300
Description: 10 page(s)
Reviewed: Reviewed
Date: 2008
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/320367
Description: 6 page(s)
Reviewed: Reviewed
Date: 2002
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/1153604
Description: We show that, under some natural conditions, the pairs (ρ, σ) produced by the elliptic curve ElGamal signature scheme are uniformly distributed. In particular, this implies that values of ρ and σ are ... More
Reviewed: Reviewed
Date: 2001
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/1152110
Description: We show that the elliptic curve analogue of the pseudo-random number function, introduced recently by M. Naor and O. Reingold, produces a sequence with large linear complexity. This result generalizes ... More
Reviewed: Reviewed
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