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PAIRING
2010
Springer
133views Cryptology» more  PAIRING 2010»
13 years 2 months ago
Pairing Computation on Elliptic Curves with Efficiently Computable Endomorphism and Small Embedding Degree
Scott uses an efficiently computable isomorphism in order to optimize pairing computation on a particular class of curves with embedding degree 2. He points out that pairing implem...
Sorina Ionica, Antoine Joux
TIT
2010
108views Education» more  TIT 2010»
12 years 11 months ago
Optimal pairings
In this paper we introduce the concept of an optimal pairing, which by definition can be computed using only log2 r/(k) basic Miller iterations, with r the order of the groups invo...
Frederik Vercauteren
IEICET
2008
147views more  IEICET 2008»
13 years 5 months ago
Computing the Ate Pairing on Elliptic Curves with Embedding Degree k = 9
For AES 128 security level there are several natural choices for pairing-friendly elliptic curves. In particular, as we will explain, one might choose curves with k = 9 or curves w...
Xibin Lin, Changan Zhao, Fangguo Zhang, Yanming Wa...
IJISEC
2008
108views more  IJISEC 2008»
13 years 5 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»
13 years 11 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...