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73
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ANTS
2004
Springer
114views Algorithms» more  ANTS 2004»
15 years 2 months ago
Montgomery Scalar Multiplication for Genus 2 Curves
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...
Sylvain Duquesne
WISA
2007
Springer
15 years 3 months ago
A Compact Architecture for Montgomery Elliptic Curve Scalar Multiplication Processor
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...
Yong Ki Lee, Ingrid Verbauwhede
CHES
2006
Springer
108views Cryptology» more  CHES 2006»
15 years 1 months ago
Superscalar Coprocessor for High-Speed Curve-Based Cryptography
Abstract. We propose a superscalar coprocessor for high-speed curvebased cryptography. It accelerates scalar multiplication by exploiting instruction-level parallelism (ILP) dynami...
Kazuo Sakiyama, Lejla Batina, Bart Preneel, Ingrid...
IEICET
2008
126views more  IEICET 2008»
14 years 9 months ago
Skew-Frobenius Maps on Hyperelliptic Curves
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....
Shunji Kozaki, Kazuto Matsuo, Yasutomo Shimbara
84
Voted
CTRSA
2003
Springer
130views Cryptology» more  CTRSA 2003»
15 years 2 months ago
Fast Elliptic Curve Arithmetic and Improved Weil Pairing Evaluation
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...
Kirsten Eisenträger, Kristin Lauter, Peter L....