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ITNG
2007
IEEE
14 years 1 months ago
SPA resistant Elliptic Curve Cryptosystem using Addition Chains
: There has been a lot of interest in recent years in the problems faced by cryptosystems due to side channel attacks. Algorithms for elliptic curve point scalar multiplication suc...
Andrew Byrne, Nicolas Meloni, Francis M. Crowe, Wi...
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
AAECC
2006
Springer
133views Algorithms» more  AAECC 2006»
13 years 7 months ago
On the low hamming weight discrete logarithm problem for nonadjacent representations
So-called nonadjacent representations are commonly used in elliptic curve cryptography to facilitate computing a scalar multiple of a point on an elliptic curve. A nonadjacent rep...
James A. Muir, Douglas R. Stinson
ASIACRYPT
1999
Springer
13 years 11 months ago
Fast Algorithms for Elliptic Curve Cryptosystems over Binary Finite Field
In the underlying finite field arithmetic of an elliptic curve cryptosystem, field multiplication is the next computational costly operation other than field inversion. We pres...
Yongfei Han, Peng-Chor Leong, Peng-Chong Tan, Jian...
CHES
2005
Springer
149views Cryptology» more  CHES 2005»
14 years 27 days ago
Resistance of Randomized Projective Coordinates Against Power Analysis
Embedded devices implementing cryptographic services are the result of a trade-off between cost, performance and security. Aside from flaws in the protocols and the algorithms us...
William Dupuy, Sébastien Kunz-Jacques