Information and Media Technologies
Online ISSN : 1881-0896
ISSN-L : 1881-0896
Computing
Revisited (Hyper)-Elliptic Curve Scalar Multiplication with a Fixed Point
Atsuko MiyajiKenji Mizosoe
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2008 Volume 3 Issue 4 Pages 800-813

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Abstract
Elliptic curve cryptosystems can be constructed over a smaller definition field than the ElGamal cryptosystems or the RSA cryptosystems. This is why elliptic curve cryptosystems have begun to attract notice. This paper explores an efficient fixed-point-scalar-multiplication algorithm for the case of a definition field Fp (p>3) and adjusts coordinates to the algorithm proposed by Lim and Lee. Our adjusted algorithm can give better performance than the previous algorithm in some sizes of the pre-computed tables.
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© 2008 by Information Processing Society of Japan
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