| Cyclic Co des over F2＋uF2＋v F2 |
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| 作者姓名： | LIU Xiu-sheng LIU Hua-lu |
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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 （12xjzl4A, llyjz37B） |
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| 摘 要： | We study the structure of cyclic codes of an arbitrary length n over the ring F2＋uF2＋vF2, which is not a finite chain ring. We prove that the Gray image of a cyclic code length n over F2＋uF2＋vF2 is a 3-quasi-cyclic code length 3n over F2.
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| 关 键 词： | Key words： linear codes cyclic codes Gray map |
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