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.
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页码：295 / 309
页数：15
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