Cyclic codes over finite rings

被引：26
|
作者：
Greferath, M [1 ]
机构：
[1] UNIV DUISBURG, DEPT MATH, D-47048 DUISBURG, GERMANY
来源：
DISCRETE MATHEMATICS | 1997年 / 177卷 / 1-3期
关键词：
D O I：
10.1016/S0012-365X(97)00006-X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is well known that cyclic linear codes of length n over a (finite) field F can be characterized in terms of the factors of the polynomial x(n)-1 in F[x]. This paper investigates cyclic linear codes over arbitrary (not necessarily commutative) finite rings and proves the above characterization to be true for a large class of such codes over these rings. (C) 1997 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：273 / 277
页数：5
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