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CTRSA
2003
Springer
130views Cryptology» more  CTRSA 2003»
14 years 21 days 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»
13 years 2 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
13 years 7 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
WAIFI
2007
Springer
127views Mathematics» more  WAIFI 2007»
14 years 1 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
14 years 1 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