Generalized quasi-cyclic codes: structural properties and code construction

被引：47

作者：

Esmaeili, M. ^{[1
]}

Yari, S. ^{[1
]}

机构：

[1] Isfahan Univ Technol, Dept Math Sci, Esfahan 8415683111, Iran

来源：

APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING | 2009年 / 20卷 / 02期

关键词：

Generalized quasi-cyclic code; Code decomposition; Code construction; ALGEBRAIC STRUCTURE; CONVOLUTIONAL-CODES;

D O I：

10.1007/s00200-009-0095-3

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Generalized quasi-cyclic (GQC) codes are defined by generator matrices comprised of circulant matrices of lengths not necessarily identical. A decomposition of these codes is given by using the Chinese reminder theorem. The focus is to characterize rho-generator GQC codes in details. A good lower bound on the minimum distance of such a code in terms of the minimum distance of the constituent codes is given. Construction methods are given and a set of GQC codes is provided that from minimum distance perspective are optimal codes among the known linear codes having the same length and dimension.

引用

页码：159 / 173

页数：15

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