134 search results - page 1 / 27 » Binary Edwards Curves |
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...
AFRICACRYPT
2008
Springer
13 years 11 months ago
2008
Springer
Abstract. This paper introduces “twisted Edwards curves,” a generalization of the recently introduced Edwards curves; shows that twisted Edwards curves include more curves over...
ARC
2009
Springer
13 years 11 months ago
2009
Springer
Abstract. This paper presents implementation results of a reconfigurable elliptic curve processor defined over prime fields GF(p). We use this processor to compare a new algorit...
ASIACRYPT
2008
Springer
13 years 7 months ago
2008
Springer
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 ...
IWSEC
2010
Springer
13 years 2 months ago
2010
Springer
We use two parametrizations of points on elliptic curves in generalized Edwards form x2 + y2 = c2 (1 + dx2 y2 ) that omit the xcoordinate. The first parametrization leads to a diff...