55 search results - page 1 / 11 » Inverted Edwards Coordinates |
AAECC
2007
Springer
13 years 11 months ago
2007
Springer
Abstract. Edwards curves have attracted great interest for several reasons. When curve parameters are chosen properly, the addition formulas use only 10M + 1S. The formulas are str...
INDOCRYPT
2007
Springer
13 years 11 months ago
2007
Springer
This paper analyzes the best speeds that can be obtained for single-scalar multiplication with variable base point by combining a huge range of options: – many choices of coordin...
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...
IWSEC
2010
Springer
13 years 3 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...
FSTTCS
2005
Springer
13 years 11 months ago
2005
Springer
Let P be a set of n points in d-dimensional Euclidean space, where each of the points has integer coordinates from the range [−∆, ∆],