The characterization of elliptic curves over finite fields-Reference-Cited by-同舟云学术

The characterization of elliptic curves over finite fields

Published:1988-10 Issue:2 Volume:45 Page:275-286
ISSN:0263-6115
Container-title:Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
language:en
Short-container-title:J Aust Math Soc A

Author:

Hirschfeld J. W. P.,Voloch J. F.

Abstract

AbstractIn a finite Desarguesian plane of odd order, it was shown by Segre thirty years ago that a set of maximum size with at most two points on a line is a conic. Here, in a plane of odd or even order, sufficient conditions are given for a set with at most three points on a line to be a cubic curve. The case of an elliptic curve is of particular interest.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics,Statistics and Probability

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