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WAIFI
2007
Springer
141views Mathematics» more  WAIFI 2007»
13 years 11 months ago
New Point Addition Formulae for ECC Applications
Abstract. In this paper we propose a new approach to point scalar multiplication on elliptic curves defined over fields of characteristic greater than 3. It is based on new point...
Nicolas Meloni
IJNSEC
2006
94views more  IJNSEC 2006»
13 years 5 months ago
A Binary Redundant Scalar Point Multiplication in Secure Elliptic Curve Cryptosystems
The main back-bone operation in elliptic curve cryptosystems is scalar point multiplication. The most frequently used method implementing the scalar point multiplication which is ...
Sangook Moon
PKC
2009
Springer
121views Cryptology» more  PKC 2009»
14 years 5 months ago
Fast Multibase Methods and Other Several Optimizations for Elliptic Curve Scalar Multiplication
Recently, the new Multibase Non-Adjacent Form (mbNAF) method was introduced and shown to speed up the execution of the scalar multiplication with an efficient use of multiple bases...
Patrick Longa, Catherine H. Gebotys
JCP
2007
127views more  JCP 2007»
13 years 5 months ago
Comparison of Simple Power Analysis Attack Resistant Algorithms for an Elliptic Curve Cryptosystem
Abstract— Side channel attacks such as Simple Power Analysis(SPA) attacks provide a new challenge for securing algorithms from an attacker. Algorithms for elliptic curve point sc...
Andrew Byrne, Nicolas Meloni, Arnaud Tisserand, Em...
ASIACRYPT
2008
Springer
13 years 7 months ago
Twisted Edwards Curves Revisited
This paper introduces fast algorithms for performing group operations on twisted Edwards curves, pushing the recent speed limits of Elliptic Curve Cryptography (ECC) forward in a ...
Hüseyin Hisil, Kenneth Koon-Ho Wong, Gary Car...