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.
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收藏
页码：855 / 864
页数：10
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