ON GRAY IMAGES OF CONSTACYCLIC CODES OVER THE FINITE RING F2 + u1F2 + u2F2

被引：0

作者：

Ozkan, Mustafa ^{[1
]}

Dertli, Abdullah ^{[2
]}

Cengellenmis, Yasemin ^{[1
]}

机构：

[1] Trakya Univ, Dept Math, Edirne, Turkey

[2] Ondokuz Mayis Univ, Dept Math, Samsun, Turkey

来源：

TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS | 2019年 / 9卷 / 04期

关键词：

Constacylic code; Gray image; CYCLIC CODES;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce the finite ring F-2 + u(1)F(2) + u(2)F(2), u(1)(2) = u(1), u(2)(2) = 0, u(1).u(2) = u(2).u(1) = 0 which is not a finite chain ring. We focus on (1 + u(2)) -constacyclic codes over F-2 + u(1)F(2) + u(2)F(2) of odd length. We prove that the Gray image of a linear (1 + u(2)) -constacyclic code over F-2 + u(1)F(2) + u(2)F(2) of odd length n is a quasi-cyclic code of index 4 and length 4 n over F-2.

引用

页码：876 / 881

页数：6

共 7 条

[1] On (1-u)-cyclic codes over Fpk + uFpk [J].