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

被引：276
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
收藏
页码：489 / 506
页数：18
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