Symmetric designs and self-dual codes over rings

被引：0

作者：

Dougherty, Steven T. ^{[1
]}

Gulliver, T. Aaron

机构：

[1] Univ Scranton, Dept Math, Scranton, PA 18510 USA

[2] Univ Victoria, Dept Elect & Comp Engn, Victoria, BC V8W 3P6, Canada

[3] Univ Illinois, Dept Math, Chicago, IL 60607 USA

来源：

ARS COMBINATORIA | 2007年 / 85卷

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe a technique for producing self-dual codes over rings and fields from symmetric designs. We give special attention to biplanes and determine the minimum weights of the codes formed from these designs. We give numerous examples of self-dual codes constructed including an optimal code of length 22 over Z(4) with respect to the Hamming metric from the biplane of order 3.

引用

页码：193 / 209

页数：17

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