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
收藏
页码：455 / 466
页数：12
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