| 关于环Fpm+uFpm+u2Fpm上循环码的注记 |
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| 引用本文： | 刘修生.关于环Fpm+uFpm+u2Fpm上循环码的注记[J].数学杂志,2016,36(5):981-986. |
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| 作者姓名： | 刘修生 |
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| 作者单位： | 湖北理工学院数理学院, 湖北 黄石 435003 |
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| 基金项目： | Supported by Scientific Research Foundation of Hubei Provincial Education Department of China (D20144401;B2015096) and the National Science Foundation of Hubei Polytechnic University of China (12xjz14A). |
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| 摘 要： | 本文研究了环Fpm+uFpm+u2Fpm上长度为ps的循环码分类.通过建立环Fpm+uFpm+u2Fpm到环Fpm+uFpm的同态,给出了环Fpm+uFpm+u2Fpm上长度为ps的循环码的新分类方法.应用这种方法,得到了环Fpm+uFpm+u2Fpm长度为ps的循环码的码词数.
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| 关 键 词： | 局部环 循环码 重根循环码 码词数 |
| 收稿时间： | 2015/11/16 0:00:00 |
| 修稿时间： | 2016/3/4 0:00:00 |
A NOTE ON CYCLIC CODES OVER Fpm+uFpm+u2Fpm |
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| LIU Xiu-sheng.A NOTE ON CYCLIC CODES OVER Fpm+uFpm+u2Fpm[J].Journal of Mathematics,2016,36(5):981-986. |
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| Authors: | LIU Xiu-sheng |
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| Institution: | School of Mathematics and Physics, Hubei Polytechnic University, Huangshi 435003, China |
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| Abstract: | In this paper, we study cyclic codes of length ps over the ring Fpm+uFpm+u2Fpm. By establishing the homomorphism from ring Fpm+uFpm+u2Fpm to Fpm+uFpm+u2Fpm, we give the new classify method for cyclic codes of length ps over the ring Fpm+uFpm+u2Fpm. Using the method of the classify, we obtain the number of codewords in each of cyclic codes of length ps over ring Fpm+uFpm+u2Fpm. |
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| Keywords: | local ring cyclic codes repeated-root codes the number of codewords |
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