On weights in duadic abelian codes

被引：1

作者：

Li, QL ^{[1
]}

机构：

[1] Hunan Normal Univ, Dept Math, Changsha 410081, Peoples R China

[2] Nankai Univ, Minist Educ, Key Lab Pure Math & Combinator, Ctr Combinator, Tianjin 300071, Peoples R China

来源：

DISCRETE MATHEMATICS | 2003年 / 260卷 / 1-3期

关键词：

duadic abelian codes; primitive idempotent; group algebra; weight;

D O I：

10.1016/S0012-365X(02)00673-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note, we prove that if C is a duadic binary abelian code with splitting mu = mu-1 and the minimum odd weight of C satisfies d(2) - d + 1 not equal n, then d(d - 1) > n + 11. We show by an example that this bound is sharp. A series of open problems on this subject are proposed, (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：223 / 230

页数：8

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