POLYNOMIALS FOR HYPEROVALS OF DESARGUESIAN PLANES

被引：8

作者：

OKEEFE, CM

PENTTILA, T

机构：

[1] University of Western Australia, Nedlands

来源：

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS | 1991年 / 51卷

基金：

澳大利亚研究理事会;

关键词：

D O I：

10.1017/S1446788700034601

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper studies o-polynomials, that is, polynomials which represent hyperovals in Desarguesian projective planes of even order. We present theoretical restrictions on the form that o-polynomials can have, and we determine the number of o-polynomials corresponding to each of the known classes of hyperovals (other than Cherowitzo's). We use this to give the number of known o-polynomials for the fields of orders 4, 8, 16 and 32. Exploratory computer searches for o-polynomials for fields of small orders greater than 16 are reported.

引用

页码：436 / 447

页数：12

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[2]

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[4]

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[5]

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