Quaternary quasi-cyclic codes

被引：2

作者：

Pei Jun-ying ^{[1
]}

Zhang Xue-jun ^{[1
]}

机构：

[1] Soochow Univ, Dept Math, Suzhou 215006, Peoples R China

来源：

APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B | 2008年 / 23卷 / 03期

基金：

中国国家自然科学基金;

关键词：

quasi-cyclic code; primary component; type;

D O I：

10.1007/s11766-008-1521-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Quasi-cyclic codes of length mn over Z(4) are shown to be equivalent to A-submodules of A(n), where A = Z(4)[x]/(x(m)-1). In the case of m being odd, all quasi-cyclic codes are shown to be decomposable into the direct sum of a fixed number of cyclic irreducible A-submodules. Finally the distinct quasi-cyclic codes as well as some specific subclasses are enumerated.

引用

页码：359 / 365

页数：7

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