Contraction of cyclic codes over finite chain rings

被引：1

作者：

Tabue, Alexandre Fotue ^{[1
]}

Mouaha, Christophe ^{[2
]}

机构：

[1] Univ Yaounde I, Fac Sci, Dept Math, Yaounde, Cameroon

[2] Univ Yaounde I, Dept Math, Higher Teachers Training Coll, Yaounde, Cameroon

来源：

DISCRETE MATHEMATICS | 2018年 / 341卷 / 06期

关键词：

Finite chain ring; Galois extension; Linear code; Constacyclic code; CONSTACYCLIC CODES;

D O I：

10.1016/j.disc.2018.03.008

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, R is a finite chain ring with residue field F-q and gamma is a unit in R. By assuming that the multiplicative order u of gamma is coprime to q, we give the trace-representation of any simple-root gamma-constacyclic code over R of length l, and on the other hand show that any cyclic code over R of length ul is a direct sum of trace-representable cyclic codes. Finally, we characterize the simple-root, contractable and cyclic codes over R of length ul into gamma-constacyclic codes of length l. (C) 2018 Elsevier B.V. All rights reserved.

引用

页码：1722 / 1731

页数：10

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