(1-uv)-CONSTACYCLIC CODES OVER Fp + uFp + vFp + uvFp

被引：0
作者：
Yu Haifeng [1 ]
Zhu Shixin [2 ]
Kai Xiaoshan [2 ]
机构：
[1] Hefei Univ, Dept Math & Phys, Hefei 230601, Peoples R China
[2] Hefei Univ Technol, Sch Math, Hefei 230009, Peoples R China
来源：
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY | 2014年 / 27卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Constacyclic code; cyclic code; gray map; quasi-cyclic code; CYCLIC CODES;
D O I：
10.1007/s11424-014-3241-3
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, (1 - uv)-constacyclic codes over the local ring are studied. It is proved that the image of a (1 - uv)-constacyclic code of length n over under a Gray map is a distance invariant quasi-cyclic code of index p (2) and length p (3) n over . Several examples of optimal linear codes over from (1 - uv)-constacyclic codes over are given.
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收藏
页码：811 / 816
页数：6
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