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PAIRING
2007
Springer
14 years 2 months ago
On the Minimal Embedding Field
Let C be a curve of genus g, defined over a finite field Fq, where q = pm for a prime p. Let N be a large integer coprime to p, dividing the order of the Jacobian variety associ...
Laura Hitt
DCC
2005
IEEE
14 years 7 months ago
Elliptic Curve Cryptosystems in the Presence of Permanent and Transient Faults
Elliptic curve cryptosystems in the presence of faults were studied by Biehl, Meyer and M?uller (2000). The first fault model they consider requires that the input point P in the c...
Mathieu Ciet, Marc Joye
PAIRING
2009
Springer
124views Cryptology» more  PAIRING 2009»
14 years 2 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...
ASIACRYPT
2008
Springer
13 years 10 months ago
Twisted Edwards Curves Revisited
This paper introduces fast algorithms for performing group operations on twisted Edwards curves, pushing the recent speed limits of Elliptic Curve Cryptography (ECC) forward in a ...
Hüseyin Hisil, Kenneth Koon-Ho Wong, Gary Car...
PKC
2009
Springer
121views Cryptology» more  PKC 2009»
14 years 8 months ago
Fast Multibase Methods and Other Several Optimizations for Elliptic Curve Scalar Multiplication
Recently, the new Multibase Non-Adjacent Form (mbNAF) method was introduced and shown to speed up the execution of the scalar multiplication with an efficient use of multiple bases...
Patrick Longa, Catherine H. Gebotys