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AMC
2007
184views more  AMC 2007»
13 years 11 months ago
Elliptic curve scalar multiplication algorithm using complementary recoding
Elliptic curve based cryptosystem is an efficient public key cryptosystem, which is more suitable for limited environments. The very expensive operation in elliptic curve based cr...
P. Balasubramaniam, E. Karthikeyan
TC
2011
13 years 5 months ago
Hybrid Binary-Ternary Number System for Elliptic Curve Cryptosystems
—Single and double scalar multiplications are the most computational intensive operations in elliptic curve based cryptosystems. Improving the performance of these operations is ...
Jithra Adikari, Vassil S. Dimitrov, Laurent Imbert
IJNSEC
2006
94views more  IJNSEC 2006»
13 years 11 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
SACRYPT
2005
Springer
14 years 4 months ago
SPA Resistant Left-to-Right Integer Recodings
We present two left-to-right integer recodings which can be used to perform scalar multiplication with a fixed sequence of operations. These recodings make it possible to have a s...
Nicolas Thériault
ASIACRYPT
2006
Springer
14 years 2 months ago
Extending Scalar Multiplication Using Double Bases
Abstract. It has been recently acknowledged [4, 6, 9] that the use of double bases representations of scalars n, that is an expression of the form n = e,s,t(-1)e As Bt can speed up...
Roberto Maria Avanzi, Vassil S. Dimitrov, Christop...