| On the Characterization of Cyclic Co des over Ring F2＋uF2＋v F2 |
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| 作者姓名： | ZHANG Xiao-yan |
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| 作者单位： | School of Mathematics and Physics, Hubei Polytechnic University, Huangshi 435003, China |
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| 基金项目： | Foundation item： Supported by the Scientific Research Foundation of Education Department of Hubei Province（B2013069）; Supported by the National Science Foundation of Hubei Polytechnic University of China（12xjz14A,11yjz37B） |
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| 摘 要： | In this work, we investigate the cyclic codes over the ring F2＋uF2＋vF2. We first study the relationship between linear codes over F2＋uF2＋vF2 and that over F2. Then we give a characterization of the cyclic codes over F2＋uF2＋vF2. Finally, we obtain the number of the cyclic code over F2＋uF2＋vF2 of length n.
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| 关 键 词： | Key words- linear code cyclic code Gray map generator matrix |
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