dc.contributor.author | Banks, William David, 1964- | eng |
dc.contributor.author | Shparlinski, Igor E. | eng |
dc.date.issued | 2002 | eng |
dc.description | Copyright Australian Mathematical Society 2002. Cambridge Journals. | eng |
dc.description.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. | eng |
dc.identifier.citation | William D. Banks and Igor E. Shparlinski (2002). Average normalisations of elliptic curves. Bulletin of the Australian Mathematical Society, 66, pp 353-358. | eng |
dc.identifier.uri | http://hdl.handle.net/10355/10627 | eng |
dc.language | English | eng |
dc.publisher | Australian Mathematical Society | eng |
dc.relation.ispartof | Mathematics publications (MU) | eng |
dc.relation.ispartofcommunity | University of Missouri-Columbia. College of Arts and Sciences. Department of Mathematics | eng |
dc.rights | OpenAccess. | eng |
dc.rights.license | This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License. | |
dc.source.uri | http://www.math.missouri.edu/~bbanks/papers/index.html | eng |
dc.subject | public key cryptosystem | eng |
dc.subject.lcsh | Cryptography | eng |
dc.subject.lcsh | Exponential sums | eng |
dc.title | Average Normalisations of Elliptic Curves | eng |
dc.type | Article | eng |