On the classification and enumeration of self-dual codes

被引：140

作者：

Huffman, WC ^{[1
]}

机构：

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

来源：

FINITE FIELDS AND THEIR APPLICATIONS | 2005年 / 11卷 / 03期

关键词：

error-correcting codes; self-dual codes; self-dual codes over rings;

D O I：

10.1016/j.ffa.2005.05.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article is a survey of the current status of the classification and enumeration of self-dual linear codes of small to moderate lengths over the fields F-2, F-3, and F-4 and the rings Z(4), F-2 + uF(2), and F-2 + nu F-2. Self-duality is considered using a variety of inner products. We also examine formally self-dual binary codes and additive self-dual codes over F-4. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：451 / 490

页数：40

共 168 条

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