(1-uv)-CONSTACYCLIC CODES OVER F_p+uF_p+vF_p+uvF_p

查看全文 作　　者：YU [1]Haifeng;ZHU [2]Shixin;KAI [2]Xiaoshan

机构地区：[1]Department of Mathematics and Physics,Hefei University;[2]School of Mathematics,Hefei University of Technology

出　　处：《Journal of Systems Science & Complexity》索引2014年第27卷第4期,共6页

基　　金：supported by the National Natural Science Foundation of China under Grant No.61370089;the Natural Science Foundation of Anhui Province under Grant No.1208085MA14;the Natural Science Fund of Education Department of Anhui province under Grant No.KJ2013Z276;the Fundamental Research Fundsof Hefei University under Grant No.10KY01ZD;the Key construction discipline Funds of Hefei University under Grant No.2014XK08 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 F_p + uF_p + vF_p + uvF_p are studied.It is proved that the image of a(1 — uv)-constacyclic code of length n over F_p + uF_p + vF_p + uvF_p under a Gray map is a distance invariant quasi-cyclic code of index p2 and length p^3n over F_p.Several examples of optimal linear codes over F_p from(1 — uv)-constacyclic codes over F_p + uF_p + vF_p + uvF_p are given. 关键词：超微颗粒 VFP GRAY映射准循环码线性码编码理论 UV C代码

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(1-uv)-CONSTACYCLIC CODES OVER F_p+uF_p+vF_p+uvF_p

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