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PAIRING
2010
Springer
179views Cryptology» more  PAIRING 2010»
13 years 3 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
WAIFI
2007
Springer
127views Mathematics» more  WAIFI 2007»
13 years 11 months ago
The Quadratic Extension Extractor for (Hyper)Elliptic Curves in Odd Characteristic
We propose a simple and efficient deterministic extractor for the (hyper)elliptic curve C, defined over Fq2 , where q is some power of an odd prime. Our extractor, for a given poi...
Reza Rezaeian Farashahi, Ruud Pellikaan
CRYPTO
2010
Springer
188views Cryptology» more  CRYPTO 2010»
13 years 6 months ago
Efficient Indifferentiable Hashing into Ordinary Elliptic Curves
Abstract. We provide the first construction of a hash function into ordinary elliptic curves that is indifferentiable from a random oracle, based on Icart's deterministic enco...
Eric Brier, Jean-Sébastien Coron, Thomas Ic...