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PAIRING
2010
Springer
153views Cryptology» more  PAIRING 2010»
13 years 3 months ago
Compact Hardware for Computing the Tate Pairing over 128-Bit-Security Supersingular Curves
This paper presents a novel method for designing compact yet efficient hardware implementations of the Tate pairing over supersingular curves in small characteristic. Since such cu...
Nicolas Estibals
EUROCRYPT
2001
Springer
13 years 10 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
CANS
2009
Springer
109views Cryptology» more  CANS 2009»
14 years 1 days 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...
IACR
2011
120views more  IACR 2011»
12 years 5 months ago
Towards quantum-resistant cryptosystems from supersingular elliptic curve isogenies
We present new candidates for quantum-resistant public-key cryptosystems based on the conjectured difficulty of finding isogenies between supersingular elliptic curves. The main t...
David Jao, Luca De Feo
IEICET
2006
73views more  IEICET 2006»
13 years 5 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...