36 search results - page 1 / 8 » Montgomery Scalar Multiplication for Genus 2 Curves |
ANTS
2004
Springer
13 years 10 months ago
2004
Springer
Using powerful tools on genus 2 curves like the Kummer variety, we generalize the Montgomery method for scalar multiplication to the jacobian of these curves. Previously this metho...
WISA
2007
Springer
13 years 11 months ago
2007
Springer
We propose a compact architecture of a Montgomery elliptic curve scalar multiplier in a projective coordinate system over GF(2m ). To minimize the gate area of the architecture, we...
CHES
2006
Springer
13 years 9 months ago
2006
Springer
Abstract. We propose a superscalar coprocessor for high-speed curvebased cryptography. It accelerates scalar multiplication by exploiting instruction-level parallelism (ILP) dynami...
IEICET
2008
13 years 5 months ago
2008
The hyperelliptic curve cryptosystems take most of the time for computing a scalar multiplication kD of an element D in the Jacobian JC of a hyperelliptic curve C for an integer k....
CTRSA
2003
Springer
13 years 10 months ago
2003
Springer
We present an algorithm which speeds scalar multiplication on a general elliptic curve by an estimated 3.8% to 8.5% over the best known general methods when using affine coordinate...