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PKC
2010
Springer
162views Cryptology» more  PKC 2010»
13 years 9 months ago
Faster Pairing Computations on Curves with High-Degree Twists
Research on efficient pairing implementation has focussed on reducing the loop length and on using high-degree twists. Existence of twists of degree larger than 2 is a very restric...
Craig Costello, Tanja Lange, Michael Naehrig
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...
SACRYPT
2005
Springer
112views Cryptology» more  SACRYPT 2005»
13 years 10 months ago
Pairing-Friendly Elliptic Curves of Prime Order
Previously known techniques to construct pairing-friendly curves of prime or near-prime order are restricted to embedding degree k 6. More general methods produce curves over Fp wh...
Paulo S. L. M. Barreto, Michael Naehrig
CHES
2009
Springer
230views Cryptology» more  CHES 2009»
14 years 5 months ago
Designing an ASIP for Cryptographic Pairings over Barreto-Naehrig Curves
Abstract. This paper presents a design-space exploration of an applicationspecific instruction-set processor (ASIP) for the computation of various cryptographic pairings over Barre...
David Kammler, Diandian Zhang, Dominik Auras, Gerd...
PAIRING
2007
Springer
108views Cryptology» more  PAIRING 2007»
13 years 11 months ago
Constructing Pairing-Friendly Genus 2 Curves with Ordinary Jacobians
We provide the first explicit construction of genus 2 curves over finite fields whose Jacobians are ordinary, have large prime-order subgroups, and have small embedding degree. ...
David Freeman