| （1-uv）-CONSTACYCLIC CODES OVER Fp＋uFp＋vFp＋uvFp |
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| 作者姓名： | YU Haifeng ;ZHU Shixin ;KAI Xiaoshan |
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| 作者单位： | [1]Department of Mathematics and Physics, Hefei University, Hefei 230601, China.; [2]School of Mathematics, Hefei University of Technology, Hefei 230009, China. |
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| 基金项目： | 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 |
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| 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 Fp ＋ uFp ＋ vFp ＋ uvFp are studied.It is proved that the image of a（1 — uv）-constacyclic code of length n over Fp ＋ uFp ＋ vFp ＋ uvFp under a Gray map is a distance invariant quasi-cyclic code of index p2 and length p3n over Fp.Several examples of optimal linear codes over Fp from（1 — uv）-constacyclic codes over Fp ＋ uFp ＋ vFp ＋ uvFp are given.
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| 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 |
(1 − uv)-constacyclic codes over \mathbb{F}_p + u\mathbb{F}_p + v\mathbb{F}_p + uv\mathbb{F}_p |
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| YU Haifeng,;ZHU Shixin,;KAI Xiaoshan.(1 − uv)-constacyclic codes over \mathbb{F}_p + u\mathbb{F}_p + v\mathbb{F}_p + uv\mathbb{F}_p[J].Journal of Systems Science and Complexity,2014,27(4):811-816. |
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| Authors: | Haifeng Yu Shixin Zhu Xiaoshan Kai |
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| Institution: | 1. Department of Mathematics and Physics, Hefei University, Hefei, 230601, China
2. School of Mathematics, Hefei University of Technology, Hefei, 230009, China
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| Abstract: | Constacyclic code, cyclic code, gray map, quasi-cyclic code. |
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| Keywords: | Constacyclic code cyclic code gray map quasi-cyclic code |
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