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Please use this identifier to cite or link to this item: https://hdl.handle.net/10119/4458

Title: Efficient elliptic curve exponentiaion using mixed coordinates
Authors: Cohen, Henri
Miyaji, Atsuko
Ono, Takatoshi
Keywords: elliptic curve exponentiation
coordinate system
Issue Date: 1998
Publisher: Springer
Magazine name: Lecture Notes in Computer Science
Volume: 1514/1998
Start page: 51
End page: 65
DOI: 10.1007/3-540-49649-1
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.
Rights: This is the author-created version of Springer, Henri Cohen, Atsuko Miyaji, Takatoshi Ono, Lecture Notes in Computer Science, 1514/1998, 1998, 51-65.The original publication is available at www.springerlink.com, http://www.springerlink.com/content/2kd7ykm5hk0ywa3l
URI: https://hdl.handle.net/10119/4458
Material Type: author
Appears in Collections:b10-1. 雑誌掲載論文 (Journal Articles)

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