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ASIACRYPT
2003
Springer
13 years 11 months ago
Tate Pairing Implementation for Hyperelliptic Curves y2 = xp-x + d
The Weil and Tate pairings have been used recently to build new schemes in cryptography. It is known that the Weil pairing takes longer than twice the running time of the Tate pair...
Iwan M. Duursma, Hyang-Sook Lee
ASIACRYPT
2001
Springer
13 years 9 months ago
Short Signatures from the Weil Pairing
Abstract. We introduce a short signature scheme based on the Computational Diffie-Hellman assumption on certain elliptic and hyper-elliptic curves. The signature length is half the...
Dan Boneh, Ben Lynn, Hovav Shacham
PAIRING
2010
Springer
179views Cryptology» more  PAIRING 2010»
13 years 4 months ago
Deterministic Encoding and Hashing to Odd Hyperelliptic Curves
In this paper we propose a very simple and efficient encoding function from Fq to points of a hyperelliptic curve over Fq of the form H : y2 = f(x) where f is an odd polynomial. Hy...
Pierre-Alain Fouque, Mehdi Tibouchi