ON POLYCYCLIC CODES OVER A FINITE CHAIN RING

被引：18

作者：

Fotue-Tabue, Alexandre ^{[1
]}

Martinez-Moro, Edgar ^{[2
]}

Blackford, J. Thomas ^{[3
]}

机构：

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

[2] Univ Valladolid, Inst Math, Edificio LUCIA,Campus Miguel Delibes, Valladolid 47011, Spain

[3] Western Illinois Univ, Dept Math, 1 Univ Circle, Macomb, IL 61455 USA

来源：

ADVANCES IN MATHEMATICS OF COMMUNICATIONS | 2020年 / 14卷 / 03期

关键词：

Galois extension of finite chain rings; polycyclic code; trace code; restriction code; CYCLIC CODES;

D O I：

10.3934/amc.2020028

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Galois images of polycyclic codes over a finite chain ring S and their annihilator dual are investigated. The case when a polycyclic code is Galois-disjoint over the ring S, is characterized and, the trace codes and restrictions of free polycyclic codes over S are also determined giving an analogue of Delsarte's theorem relating the trace code and the annihilator dual code.

引用

页码：455 / 466

页数：12

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