Quadratic double circulant codes over fields

被引：47

作者：

Gaborit, P ^{[1
]}

机构：

[1] Univ Limoges, LACO, F-87000 Limoges, France

来源：

JOURNAL OF COMBINATORIAL THEORY SERIES A | 2002年 / 97卷 / 01期

关键词：

D O I：

10.1006/jcta.2001.3198

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A generalization of the Pless symmetry codes to different fields is presented. In particular new infinite families of self-dual codes over GF(4), GF(5), GF(7), and GF(9) are introduced. It is proven that the automorphism group of some of these codes contains the group PSL2(q). New codes over GF(4) and GF(5), with better minimum weight than previously known codes, are given. (C) 2001 Elsevier Science.

引用

页码：85 / 107

页数：23

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