49 search results - page 2 / 10 » Twisted 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...
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...
TAMC
2010
Springer
13 years 10 months ago
2010
Springer
In this paper, the twisted Jacobi intersections which contains Jacobi intersections as a special case is introduced. We show that every elliptic curve over the prime field with t...
PKC
2010
Springer
13 years 8 months ago
2010
Springer
Research on efficient pairing implementation has focussed on reducing the loop length and on using high-degree twists. Existence of twists of degree larger than 2 is a very restric...
CCCG
2008
13 years 6 months ago
2008
Simple curves on surfaces are often represented as sequences of intersections with a triangulation. However, there are much more succinct ways of representing simple curves used i...