Matrix product codes over finite commutative Frobenius rings

被引：47

作者：

Fan, Yun ^{[1
]}

Ling, San ^{[2
]}

Liu, Hongwei ^{[1
]}

机构：

[1] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China

[2] Nanyang Technol Univ, Sch Phys Math Sci, Div Math Sci, Singapore 637616, Singapore

来源：

DESIGNS CODES AND CRYPTOGRAPHY | 2014年 / 71卷 / 02期

关键词：

Matrix product code; Frobenius ring; Minimum distance; Dual code; Quasi-cyclic code; PROPAGATION RULE; ALGEBRAIC STRUCTURE; LINEAR CODES;

D O I：

10.1007/s10623-012-9726-y

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Properties of matrix product codes over finite commutative Frobenius rings are investigated. The minimum distance of matrix product codes constructed with several types of matrices is bounded in different ways. The duals of matrix product codes are also explicitly described in terms of matrix product codes.

引用

页码：201 / 227

页数：27

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