A Class of Constacyclic Codes over the Ring Z4[u, v] /⟨u2, v2, uv - vu⟩ and Their Gray Images

被引：12
|
作者：
Islam, Habibul [1 ]
Prakash, Om [1 ]
机构：
[1] Indian Inst Technol Patna, Dept Math, Patna 801106, Bihar, India
来源：
FILOMAT | 2019年 / 33卷 / 08期
关键词：
Constacyclic code; Gray map; Quasi-cyclic code; Skew polynomial ring; Skew constacyclic code; CYCLIC CODES;
D O I：
10.2298/FIL1908237I
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study (1 + 2u + 2v)-constacyclic and skew (1 + 2u + 2v)-constacyclic codes over the ring Z(4) + uZ(4) + vZ(4) + uvZ(4) where u(2) = v(2) = 0, uv = vu. We define some new Gray maps and show that the Gray images of (1 + 2u + 2v)-constacyclic and skew (1 + 2u + 2v)-constacyclic codes are cyclic, quasi-cyclic and permutation equivalent to quasi-cyclic codes over Z(4). Further, we determine the structure of (1 + 2u + 2v)-constacyclic codes of odd length n.
引用
收藏
页码：2237 / 2248
页数：12
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