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
收藏
页码：295 / 309
页数：15
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