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Average normalisations of elliptic curves
Published online by Cambridge University Press: 17 April 2009
Extract
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 (p¾). In this paper, we show that almost all elliptic curves satisfy the stronger bound O (p⅔). The problem is motivated by cryptographic considerations.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 66 , Issue 3 , December 2002 , pp. 353 - 358
- Copyright
- Copyright © Australian Mathematical Society 2002
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