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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....
IJNSEC
2010
98views more  IJNSEC 2010»
14 years 4 months ago
An MSS Based on the Elliptic Curve Cryptosystem
In 2004, a multi-signature scheme (MSS) based on the elliptic curve cryptosystem is given by Chen et al. [1]. Later, Liu and Liu [6] showed that if one of the users always sends h...
Hemlal Sahu, Birendra Kumar Sharma
DCC
2000
IEEE
14 years 9 months ago
Efficient Arithmetic on Koblitz Curves
It has become increasingly common to implement discrete-logarithm based public-key protocols on elliptic curves over finite fields. The basic operation is scalar multiplication: ta...
Jerome A. Solinas
92
Voted
WAIFI
2007
Springer
127views Mathematics» more  WAIFI 2007»
15 years 3 months ago
The Quadratic Extension Extractor for (Hyper)Elliptic Curves in Odd Characteristic
We propose a simple and efficient deterministic extractor for the (hyper)elliptic curve C, defined over Fq2 , where q is some power of an odd prime. Our extractor, for a given poi...
Reza Rezaeian Farashahi, Ruud Pellikaan
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