Cyclic codes over Z2 + uZ2 + u2Z2 + ... + uk-1Z2

被引：27

作者：

Al-Ashker, Mohammed ^{[1
]}

Hamoudeh, Mohammed ^{[2
]}

机构：

[1] Islamic Univ Gaza, Dept Math, Gaza, Israel

[2] Minist Educ, Gaza, Israel

来源：

TURKISH JOURNAL OF MATHEMATICS | 2011年 / 35卷 / 04期

关键词：

Cyclic codes; Codes over rings; Hamming weight; RINGS; Z(4);

D O I：

10.3906/mat-1001-71

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the structure of cyclic codes of an arbitrary length n over the ring Z(2) + uZ(2) + u(2)Z(2) + ... + u(k-1)Z(2), where u(k) = 0. Also we study the rank for these codes, and we find their minimal spanning sets. This study is a generalization and extension of the work in reference [1].

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页码：737 / 749

页数：13

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