32 search results - page 1 / 7 » Faster Addition and Doubling on Elliptic Curves |
ASIACRYPT
2007
Springer
13 years 10 months ago
2007
Springer
Edwards recently introduced a new normal form for elliptic curves. Every elliptic curve over a non-binary field is birationally equivalent to a curve in Edwards form over an exten...
IACR
2011
12 years 4 months ago
2011
Abstract. This paper proposes new explicit formulae for the point doubling, tripling and addition on ordinary Weierstrass elliptic curves with a point of order 3 over finite fiel...
PKC
2004
Springer
13 years 10 months ago
2004
Springer
Let E be an elliptic curve defined over F2n . The inverse operation of point doubling, called point halving, can be done up to three times as fast as doubling. Some authors have t...
INDOCRYPT
2007
Springer
13 years 10 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...
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...