On the structure of linear and cyclic codes over a finite chain ring

被引：284

作者：

Norton, GH ^{[1
]}

Salagean, A

机构：

[1] Univ Bristol, Commun Res Ctr, Algebra Coding Res Grp, Bristol BS8 1UB, Avon, England

[2] Nottingham Trent Univ, Dept Math, Nottingham NG11 8NS, England

来源：

APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING | 2000年 / 10卷 / 06期

关键词：

finite chain ring; Galois ring; linear code; cyclic code;

D O I：

10.1007/PL00012382

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We generalise structure theorems of Calderbank and Sloane for linear and cyclic codes over Z(pa) to a finite chain ring. Our results are more detailed and do not use non-trivial results from Commutative Algebra.

引用

页码：489 / 506

页数：18

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