Cyclic codes of length 2e over Z4

被引：15
|
作者：
Abualrub, T
Oehmke, R
机构：
[1] American Univ Sharjah, Sharjah, U Arab Emirates
[2] Univ Iowa, Iowa City, IA USA
来源：
DISCRETE APPLIED MATHEMATICS | 2003年 / 128卷 / 01期
关键词：
cyclic codes; linear codes; rings; ideals;
D O I：
10.1016/S0166-218X(02)00432-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Cyclic codes of odd length over Z(4) have been studied by many authors. But what is the form of cylic codes of even length? The structure of cyclic codes of length n = 2(e), for any positive integer a is considered. We show that any cyclic code is an ideal in the ring R-n = Z(4)[x]/<x(n)-1>. We show that the ring R-n is a local ring but not a principal ideal ring. Also, we find the set of generators for cyclic codes. Examples of cyclic codes of such length are given. (C) 2003 Published by Elsevier Science B.V.
引用
收藏
页码：3 / 9
页数：7
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