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» Supersingular Elliptic Curves in Cryptography
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DCC
2007
IEEE
15 years 9 months ago
Efficient pairing computation on supersingular Abelian varieties
Abstract. We present a general technique for the efficient computation of pairings on supersingular Abelian varieties. This formulation, which we call the eta pairing, generalises ...
Paulo S. L. M. Barreto, Steven D. Galbraith, Colm ...
89
Voted
EUROCRYPT
2001
Springer
15 years 2 months ago
Evidence that XTR Is More Secure than Supersingular Elliptic Curve Cryptosystems
Abstract. We show that finding an efficiently computable injective homomorphism from the XTR subgroup into the group of points over GF(p2 ) of a particular type of supersingular e...
Eric R. Verheul
IEICET
2006
73views more  IEICET 2006»
14 years 9 months ago
Candidate One-Way Functions on Non-Supersingular Elliptic Curves
This paper proposes candidate one-way functions constructed with a certain type of endomorphisms on non-supersingular elliptic curves and presents several pieces of evidence of the...
Taiichi Saito, Fumitaka Hoshino, Shigenori Uchiyam...
AICCSA
2006
IEEE
142views Hardware» more  AICCSA 2006»
15 years 3 months ago
Pipelining GF(P) Elliptic Curve Cryptography Computation
This paper proposes a new method to compute Elliptic Curve Cryptography in Galois Fields GF(p). The method incorporates pipelining to utilize the benefit of both parallel and seri...
Adnan Abdul-Aziz Gutub, Mohammad K. Ibrahim, Ahmad...
80
Voted
CANS
2009
Springer
109views Cryptology» more  CANS 2009»
15 years 4 months ago
Multi-core Implementation of the Tate Pairing over Supersingular Elliptic Curves
This paper describes the design of a fast multi-core library for the cryptographic Tate pairing over supersingular elliptic curves. For the computation of the reduced modified Tat...
Jean-Luc Beuchat, Emmanuel López-Trejo, Lui...