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PKC
2004
Springer
151views Cryptology» more  PKC 2004»
15 years 5 months ago
On the Optimal Parameter Choice for Elliptic Curve Cryptosystems Using Isogeny
The isogeny for elliptic curve cryptosystems was initially used for the efficient improvement of order counting methods. Recently, Smart proposed the countermeasure using isogeny f...
Toru Akishita, Tsuyoshi Takagi
87
Voted
ANTS
2004
Springer
114views Algorithms» more  ANTS 2004»
15 years 5 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 5 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
90
Voted
TC
2008
14 years 11 months ago
High-Performance Architecture of Elliptic Curve Scalar Multiplication
A high performance architecture of elliptic curve scalar multiplication over finite field GF(2m ) is proposed. A pseudo-pipelined word serial finite field multiplier with word siz...
B. Ansari, M. A. Hasan
AMC
2006
91views more  AMC 2006»
14 years 11 months ago
Fast elliptic scalar multiplication using new double-base chain and point halving
The fast implementation of elliptic curve cryptosystems relies on the efficient computation of scalar multiplication. Based on the double-base chain representation of scalar using...
Kwok-Wo Wong, Edward C. W. Lee, L. M. Cheng, Xiaof...