CYCLIC CODES OF LENGTH ps OVER Fpm[u] ⟨ue⟩

被引：0
|
作者：
Hesari, Roghayeh Mohammadi [1 ]
Mohebbei, Masoumeh [1 ]
Rezaei, Rashid [1 ]
Samei, Karim [2 ]
机构：
[1] Malayer Univ, Dept Math, Malayer, Iran
[2] Bu Ali Sina Univ, Dept Math, Hamadan, Iran
来源：
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY | 2024年 / 39卷 / 01期
关键词：
Key words and phrases. Chain ring; cyclic code; torsion code; ROOT CONSTACYCLIC CODES; NEGACYCLIC CODES;
D O I：
10.4134/CKMS.c230057
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
. Let Re = ⟨ue⟩ , where p is a prime number, e is a positive integer and ue = 0. In this paper, we first characterize the structure of cyclic codes of length ps over Re. These codes will be classified into 2e distinct types. Among other results, in the case that e = 4, the torsion codes of cyclic codes of length ps over R4 are obtained. Also, we present some examples of cyclic codes of length ps over Re.
引用
收藏
页码：31 / 43
页数：13
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