Negacyclic duadic codes

被引：60

作者：

Blackford, Thomas ^{[1
]}

机构：

[1] Western Illinois Univ, Macomb, IL 61455 USA

来源：

FINITE FIELDS AND THEIR APPLICATIONS | 2008年 / 14卷 / 04期

关键词：

Negacyclic and cyclic codes; Self-dual codes; Extended codes;

D O I：

10.1016/j.ffa.2008.05.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper extends the concepts from cyclic duadic codes to ne-acyclic codes over power) of oddly even length. Generalizations of defining sets, multipliers, splittings, even-like and odd-like codes are given. Necessary and sufficient conditions are given for the existence of self-dual negacyclic codes over F-q and the existence of splittings of 2N, where N is odd. Other negacyclic codes can be extended by two coordinates in a way to create self-dual codes with familiar parameters. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：930 / 943

页数：14

共 6 条

[1] The structure of 1-generator quasi-twisted codes and new linear codes [J].