IDENTIFYING CYCLIC AND (1+2v)-CONSTACYCLIC CODES OVER Z4[v]/(v3-1) WITH Z4-LINEAR CODES

被引：0

作者：

Kom, St T. ^{[1
]}

Devi, O. Ratnabala ^{[1
]}

机构：

[1] Manipur Univ, Dept Math, Imphal 795003, Manipur, India

来源：

TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS | 2023年 / 13卷 / 03期

关键词：

Cyclic code; Gray map; constacyclic code; quasi-cyclic code; skew consta-cyclic code; CONSTACYCLIC CODES; RING;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

. This paper studies cyclic and (1 + 2v)-constacyclic codes over the ring Z4[v]/(v3 - 1). By introducing three different Gray maps, we show that the Gray images of cyclic codes are quasi-cyclic codes over Z4 and that of (1 + 2v)-constacyclic codes are cyclic, quasi-cyclic and permutation equivalent to quasi-cyclic codes over Z4. Moreover, we show that the Gray image of skew (1 + 2v)-constacyclic code is a quasi-cyclic code over Z4.

引用

页码：951 / 962

页数：12

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