10 search results - page 2 / 2 » On Near Prime-Order Elliptic Curves with Small Embedding Deg... |
JOC
2006
13 years 5 months ago
2006
Motivated by the needs of the pairing based cryptography, Miyaji, Nakabayashi and Takano have suggested a construction of so-called MNT elliptic curves with low embedding degree. ...
FFA
2007
13 years 5 months ago
2007
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 ...
PAIRING
2009
Springer
13 years 12 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 ...
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 11 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. ...