Cyclic codes over GR(p2, m) of length pk

被引：45

作者：

Kiah, Han Mao ^{[1
]}

Leung, Ka Hin ^{[1
]}

Ling, San ^{[2
]}

机构：

[1] Natl Univ Singapore, Dept Math, Singapore 117543, Singapore

[2] Nanyang Technol Univ, Sch Phys & Math Sci, Div Math Sci, Singapore 637616, Singapore

来源：

FINITE FIELDS AND THEIR APPLICATIONS | 2008年 / 14卷 / 03期

关键词：

cyclic codes; Galois ring;

D O I：

10.1016/j.ffa.2008.02.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study cyclic codes of length p(k) over GR(p(2), m), or equivalently, ideals of the ring GR(p(2), m)/ < u(pk) -1 >. We derive a method of representing the ideals, and classify all ideals in the ring GR(p(2) , m)/ < u(pk) -1 >. We also analyse the duals, and identify the self-dual ideals. (c) 2008 Elsevier Inc. All rights reserved.

引用

页码：834 / 846

页数：13

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