| 环F2＋uF2＋vF2＋uvF2上线性码的Lee重量MacWilliams恒等式 |
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| 引用本文： | 许小芳,韩海清.环F2＋uF2＋vF2＋uvF2上线性码的Lee重量MacWilliams恒等式[J].北方交通大学学报,2013(5):128-131. |
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| 作者姓名： | 许小芳 韩海清 |
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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： | 湖北省教育厅科学技术研究项目资助（B2013069） |
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| 摘 要： | 首先定义了环R=F2＋uF2＋vF2＋uvF2上线性码的Lee重量计数多项式,导出了环R上线性码的Lee重量MacWilliams恒等式,进而利用Krawtchouk多项式,获得了环R上线性码的Lee重量MacWilliams恒等式的等价形式.
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| 关 键 词： | 线性码 Lee重量 MacWilliams恒等式 m-层重量计数多项式 |
Lee weight MacWilliams identity of the linear codes over F2＋ uF2＋ vF2＋ uvF2 |
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| XU Xiaofang,HAN Haiqing.Lee weight MacWilliams identity of the linear codes over F2＋ uF2＋ vF2＋ uvF2[J].Journal of Northern Jiaotong University,2013(5):128-131. |
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| Authors: | XU Xiaofang HAN Haiqing |
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| Institution: | (School of Mathematics and Physics, Hubei Polytechnic University, Huangshi Hubei 435003, China) |
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| Abstract: | The Lee weight enumerator for linear codes of length n over the ring R = F2 ＋ uF2 ＋ vF2 ＋ uvF2 are defined and the Lee weight MacWilliams identity for linear codes of length n over the ring R are given. Furthermore, by means of Krawtchouk polynomials, the equivalent Lee weight MacWilliams identity for linear codes of length n over the ring R are obtained. |
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| Keywords: | linear code Lee weight MacWilliams identity m -ply weight enumerator |
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