Average Normalisations of Elliptic Curves

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Average Normalisations of Elliptic Curves

Please use this identifier to cite or link to this item: http://hdl.handle.net/10355/10627

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Title: Average Normalisations of Elliptic Curves
Author: Banks, William David, 1964-; Shparlinski, Igor E.
Keywords: public key cryptosystem
Date: 2002
Publisher: Australian Mathematical Society
Citation: William D. Banks and Igor E. Shparlinski (2002). Average normalisations of elliptic curves. Bulletin of the Australian Mathematical Society, 66, pp 353-358.
Abstract: Ciet, Quisquater, and Sica have recently shown that every elliptic curve E over a finite field Fp is isomorphic to a curve y2 = x3 +ax+b with a and b of size O(p3/4). In this paper, we show that almost all elliptic curves satisfy the stronger bound O(p2/3). The problem is motivated by cryptographic considerations.
URI: http://hdl.handle.net/10355/10627

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  • Mathematics publications (MU) [119]
    The items in this collection are the scholarly output of the faculty, staff, and students of the Department of Mathematics.

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