Average Normalisations of Elliptic Curves
Banks, William David, 1964-
Shparlinski, Igor E.
Metadata[+] Show full item record
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.
Mathematics publications (MU)
William D. Banks and Igor E. Shparlinski (2002). Average normalisations of elliptic curves. Bulletin of the Australian Mathematical Society, 66, pp 353-358.