Difference Sets and Hyperovals

被引：80

作者：

Maschietti A. ^{[1
]}

机构：

[1] Dipto. di Matematica G. Castelnuovo, Universita' La Sapienza, Roma

来源：

Designs, Codes and Cryptography | 1998年 / 14卷 / 1期

关键词：

Difference set; Hadamard design; Hyperoval;

D O I：

10.1023/A:1008264606494

中图分类号：

学科分类号：

摘要：

We construct three infinite families of cyclic difference sets, using monomial hyperovals in a desarguesian projective plane of even order. These difference sets give rise to cyclic Hadamard designs, which have the same parameters as the designs of points and hyperplanes of a projective geometry over the field with two elements. Moreover, they are substructures of the Hadamard design that one can associate with a hyperoval in a projective plane of even order.

引用

页码：89 / 98

页数：9

共 14 条

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