9 search results - page 1 / 2 » Constructing Pairing-Friendly Elliptic Curves with Embedding... |
ANTS
2006
Springer
13 years 8 months ago
2006
Springer
We present a general framework for constructing families of elliptic curves of prime order with prescribed embedding degree. We demonstrate this method by constructing curves with ...
JOC
2010
13 years 3 months ago
2010
Elliptic curves with small embedding degree and large prime-order subgroup are key ingredients for implementing pairingbased cryptographic systems. Such “pairing-friendly” curv...
PAIRING
2007
Springer
13 years 10 months ago
2007
Springer
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. ...
SACRYPT
2005
Springer
13 years 10 months ago
2005
Springer
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...
PAIRING
2009
Springer
13 years 11 months ago
2009
Springer
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 ...