1998 | OriginalPaper | Buchkapitel
Efficient Elliptic Curve Exponentiation Using Mixed Coordinates
verfasst von : Henri Cohen, Atsuko Miyaji, Takatoshi Ono
Erschienen in: Advances in Cryptology — ASIACRYPT’98
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
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Elliptic curve cryptosystems, proposed by Koblitz ([12]) and Miller ([16]), can be constructed over a smaller field of definition than the ElGamal cryptosystems ([6]) or the RSA cryptosystems ([20]). This is why elliptic curve cryptosystems have begun to attract notice. In this paper, we investigate efficient elliptic curve exponentiation. We propose a new coordinate system and a new mixed coordinates strategy, which significantly improves on the number of basic operations needed for elliptic curve exponentiation.