Cryptology ePrint Archive: Report 2005/069
Fast Elliptic Curve Point Multiplication using Double-Base Chains
V. S. Dimitrov and L. Imbert and P. K. Mishra
Abstract: Among the various arithmetic operations required in implementing public key
cryptographic algorithms, the elliptic curve point multiplication has probably
received the maximum attention from the research community in the
Many methods for efficient and secure implementation of point
multiplication have been proposed.
The efficiency of these methods mainly depends on the representation
one uses for the scalar multiplier.
In the current work we propose an efficient algorithm based on the
so-called double-base number system.
We introduce the new concept of double-base chains which, if
manipulated with care, can significantly reduce the complexity of
scalar multiplication on elliptic curves.
Besides we have adopted some other measures to further reduce the
Our algorithm compares favorably against classical and other
Category / Keywords: Elliptic curve cryptography, scalar multiplication, double-base number system
Date: received 1 Mar 2005, last revised 2 Mar 2005
Contact author: Laurent Imbert at lirmm fr
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Version: 20050302:195736 (All versions of this report)
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