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FFA
2007
85views more  FFA 2007»
13 years 10 months ago
Ordinary abelian varieties having small embedding degree
Miyaji, Nakabayashi and Takano (MNT) gave families of group orders of ordinary elliptic curves with embedding degree suitable for pairing applications. In this paper we generalise ...
Steven D. Galbraith, James F. McKee, P. C. Valen&c...
IJISEC
2008
108views more  IJISEC 2008»
13 years 10 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
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...
CHES
2008
Springer
151views Cryptology» more  CHES 2008»
14 years 24 days ago
Binary Edwards Curves
Abstract. This paper presents a new shape for ordinary elliptic curves over fields of characteristic 2. Using the new shape, this paper presents the first complete addition formula...
Daniel J. Bernstein, Tanja Lange, Reza Rezaeian Fa...
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...