On the Gray Images of Some Constacyclic Codes over Fp + uFp + u2Fp

被引：2

作者：

Yu Haifeng ^{[1
]}

Zhu Shixin ^{[2
,3
]}

Kai Xiaoshan ^{[2
,3
]}

机构：

[1] Hefei Univ, Dept Math & Phys, Hefei 230601, Peoples R China

[2] Hefei Univ Technol, Sch Math, Hefei 230009, Peoples R China

[3] Southeast Univ, Natl Mobile Commun Res Lab, Nanjing 210096, Jiangsu, Peoples R China

来源：

JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY | 2016年 / 29卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Constacyclic code; cyclic code; Gray map; CYCLIC CODES;

D O I：

10.1007/s11424-015-4316-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Constacyclic codes are an important class of linear codes in coding theory. Many optimal linear codes are directly derived from constacyclic codes. In this paper, a new Gray map between codes over F-p + uF(p) + u(2)F(p) and codes over F-p is defined, where p is an odd prime. By means of this map, it is shown that the Gray image of a linear (1+ u + u(2))-constacyclic code over F-p + uF(p) + u(2)F(p) of length n is a repeated-root cyclic code over F-p of length pn. Furthermore, some examples of optimal linear cyclic codes over F-3 from (1 + u + u(2))-constacyclic codes over F-3 + uF(3) + u(2)F(3) are given.

引用

页码：842 / 849

页数：8

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