On codes over product of finite chain rings

被引：2
|
作者：
Bajalan, Maryam [1 ]
Rezaei, Rashid [1 ]
Samei, Karim [2 ]
机构：
[1] Malayer Univ, Dept Math, Malayer 65719, Iran
[2] Bu Ali Sina Univ, Dept Math, Hamadan 65175, Iran
来源：
SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI | 2023年 / 41卷 / 01期
关键词：
MDS Codes; Self-Dual Codes; Chain Rings; CYCLIC CODES;
D O I：
10.14744/sigma.2023.00014
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, codes over the direct product of two finite commutative chain rings are studied. The standard form of the parity-check matrix is determined. The structure of self-dual codes is described. A distance preserving Gray map from the direct product of chain rings to a finite field is defined. Two upper bounds on minimum distance are obtained.
引用
收藏
页码：143 / 153
页数：11
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