FFA
2007
13 years 4 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 ...
IJISEC
2008
13 years 4 months ago
2008
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...
CRYPTO
2010
Springer
13 years 5 months ago
2010
Springer
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...
CHES
2008
Springer
13 years 6 months ago
2008
Springer
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...
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 ...