ON SELF-DUAL CYCLIC CODES OF LENGTH pa OVER GR(p2, s)

被引：7

作者：

Jitman, Somphong ^{[1
]}

Ling, San ^{[2
]}

Sangwisut, Ekkasit ^{[3
]}

机构：

[1] Silpakorn Univ, Fac Sci, Dept Math, Nakhon Pathom 73000, Thailand

[2] Nanyang Technol Univ, Sch Phys & Math Sci, Div Math Sci, 21 Nanyang Link, Singapore 637371, Singapore

[3] Thaksin Univ, Fac Sci, Dept Math & Stat, Phatthalung Campus, Phatthalung 93110, Thailand

来源：

ADVANCES IN MATHEMATICS OF COMMUNICATIONS | 2016年 / 10卷 / 02期

基金：

新加坡国家研究基金会;

关键词：

Self-dual codes; cyclic codes; codes over rings; Galois rings; Hermitian inner product; Z(4); M);

D O I：

10.3934/amc.2016004

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, cyclic codes over the Galois ring GR(p(2), s) are studied. The main result is the characterization and enumeration of Hermitian self -dual cyclic codes of length p(a) over GR(p(2), s). Combining with some known results and the standard Discrete Fourier Transform decomposition, we arrive at the characterization and enumeration of Euclidean self -dual cyclic codes of any length over GR(p(2), s).

引用

页码：255 / 273

页数：19

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