Constacyclic codes as invariant subspaces

被引：15

作者：

Radkova, D. ^{[1
]}

Van Zanten, A. J. ^{[1
]}

机构：

[1] Delft Univ Technol, Fac Informat Technol & Syst, Dept Math, NL-2600 GA Delft, Netherlands

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2009年 / 430卷 / 2-3期

关键词：

Cyclic codes; Constacyclic codes; Invariant subspaces;

D O I：

10.1016/j.laa.2008.09.036

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Constacyclic codes are generalizations of the familiar linear cyclic codes. In this paper constacyclic codes over a finite field F are regarded as invariant subspaces of F-n with respect to a suitable linear operator. By applying standard techniques from linear algebra one can derive properties of these codes which generalize several well-known results for cyclic codes, such as the various lower bounds for the minimum distance. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：855 / 864

页数：10

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