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CRYPTO
2010
Springer
188views Cryptology» more  CRYPTO 2010»
13 years 12 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...
IJISEC
2008
108views more  IJISEC 2008»
13 years 11 months ago
A note on the Ate pairing
The Ate pairing has been suggested since it can be computed efficiently on ordinary elliptic curves with small values of the traces of Frobenius t. However, not all pairing-friendl...
Changan Zhao, Fangguo Zhang, Jiwu Huang
PAIRING
2009
Springer
124views Cryptology» more  PAIRING 2009»
14 years 5 months ago
Fast Hashing to G2 on Pairing-Friendly Curves
When using pairing-friendly ordinary elliptic curves over prime fields to implement identity-based protocols, there is often a need to hash identities to points on one or both of ...
Michael Scott, Naomi Benger, Manuel Charlemagne, L...
DCC
2008
IEEE
14 years 10 months ago
Extractors for binary elliptic curves
We propose a simple and efficient deterministic extractor for an ordinary elliptic curve E, defined over F2n , where n = 2 and is a positive integer. Our extractor, for a given poi...
Reza Rezaeian Farashahi, Ruud Pellikaan, Andrey Si...
WAIFI
2010
Springer
158views Mathematics» more  WAIFI 2010»
13 years 8 months ago
On the Efficiency and Security of Pairing-Based Protocols in the Type 1 and Type 4 Settings
Abstract. We focus on the implementation and security aspects of cryptographic protocols that use Type 1 and Type 4 pairings. On the implementation front, we report improved timing...
Sanjit Chatterjee, Darrel Hankerson, Alfred Meneze...