18 search results - page 2 / 4 » Elliptic Curves with Low Embedding Degree |
JOC
2010
13 years 6 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
2010
Springer
13 years 5 months ago
2010
Springer
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...
FFA
2007
13 years 7 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 ...
SACRYPT
2005
Springer
14 years 29 days 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...
ISCAS
2008
IEEE
14 years 1 months ago
2008
IEEE
— A low energy modulo-multiplier is proposed for elliptic curve cryptography (ECC) processor, especially for authentication in mobile device or key encryption in embedded health-...