International Association for Cryptologic Research

International Association
for Cryptologic Research


Paper: Fast Elliptic Curve Point Multiplication using Double-Base Chains

V. S. Dimitrov
L. Imbert
P. K. Mishra
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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 last decade. 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 operation count. Our algorithm compares favorably against classical and other similar approaches.
  title={Fast Elliptic Curve Point Multiplication using Double-Base Chains},
  booktitle={IACR Eprint archive},
  keywords={Elliptic curve cryptography, scalar multiplication, double-base number system},
  note={ 12844 received 1 Mar 2005, last revised 2 Mar 2005},
  author={V. S. Dimitrov and L. Imbert and P. K. Mishra},