Geometric approach to the MacWilliams Extension Theorem for codes over module alphabets

被引：3

作者：

Dyshko, Serhii ^{[1
]}

机构：

[1] Univ Toulon & Var, IMATH, BP 20132, F-83957 La Garde, France

来源：

APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING | 2017年 / 28卷 / 04期

关键词：

MacWilliams Extension Theorem; Hamming isometry; Module alphabet; MDS code; Group code; Matrix module; FINITE RINGS; LINEAR CODES; EQUIVALENCE;

D O I：

10.1007/s00200-017-0324-0

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The minimal code length for which there exists an unextendable Hamming isometry of a linear code defined over a matrix module alphabet is found. An extension theorem for MDS codes over module alphabets is proved. An extension theorem for the case of MDS group codes is observed.

引用

页码：295 / 309

页数：15

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