Abstract
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.
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CITATION STYLE
Cohen, H., Miyaji, A., & Ono, T. (1998). Efficient elliptic curve exponentiation using mixed coordinates. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1514, pp. 51–65). Springer Verlag. https://doi.org/10.1007/3-540-49649-1_6
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