On the decomposition of self-dual codes over F2+uF2 with an automorphism of odd prime order

被引：45

作者：

Huffman, W. Cary ^{[1
]}

机构：

[1] Loyola Univ, Dept Math & Stat, Chicago, IL 60626 USA

来源：

FINITE FIELDS AND THEIR APPLICATIONS | 2007年 / 13卷 / 03期

关键词：

self-dual codes; extremal self-dual codes; codes with odd order automorphisms;

D O I：

10.1016/j.ffa.2006.02.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a general theory of decomposing self-dual codes over F-2 + uF(2)) that have an automorphism of odd prime order. Using this decomposition we classify all Lee-extremal/optimal self-dual codes of lengths 9 to 16 with an odd order automorphism and partially classify those of lengths 17 to 20. In particular we find 945 inequivalent Lee-extremal self-dual codes of length 20. (C) 2006 Elsevier Inc. All rights reserved.

引用

页码：681 / 712

页数：32

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