Quasi-cyclic codes as codes over rings of matrices

被引：23
|
作者：
Cayrel, Pierre-Louis [2 ]
Chabot, Christophe [1 ]
Necer, Abdelkader [1 ]
机构：
[1] Univ Limoges, XLIM DMI, F-87060 Limoges, France
[2] Ctr Adv Secur Res Darmstadt, D-64293 Darmstadt, Germany
来源：
FINITE FIELDS AND THEIR APPLICATIONS | 2010年 / 16卷 / 02期
关键词：
Quasi-cyclic codes; Linear recurrent sequences; Rings of matrices; Self-dual codes; ALGEBRAIC STRUCTURE;
D O I：
10.1016/j.ffa.2010.01.001
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Quasi-cyclic codes over a finite field are viewed as cyclic codes over a noncommutative ring of matrices over a finite field. This point of view permits to generalize some known results about linear recurring sequences and to propose a new construction of some quasi-cyclic codes and self-dual codes. (c) 2010 Elsevier Inc. All rights reserved.
引用
收藏
页码：100 / 115
页数：16
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