| Z_(2~k)线性码及其对偶码的MacWilliams恒等式 |
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| 引用本文： | 芮义鹤.Z_(2~k)线性码及其对偶码的MacWilliams恒等式[J].安徽大学学报(自然科学版),2010,34(3). |
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| 作者姓名： | 芮义鹤 |
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| 作者单位： | 浙江工商大学,统计与数学学院,浙江,杭州,310018 |
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| 基金项目： | 国家社科基金资助项目，浙江省自然科学基金资助项目 |
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| 摘 要： | 在有限环Z2k上定义了一个新的Hadamard变换,同时给出了有限环Z2k上线性码的完全重量计数器和Hamming重量计数器的定义.最后利用Hadamard变换,证明了Z2k上的线性码及其对偶码之间关于完全重量计数器和Hamming重量计数器的MacWilliams恒等式.
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| 关 键 词： | 线性码 对偶码 重量计数器 MacWilliams恒等式 |
MacWilliams identities of linear codes and their dual codes over ring Z2k |
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| RUI Yi-he.MacWilliams identities of linear codes and their dual codes over ring Z2k[J].Journal of Anhui University(Natural Sciences),2010,34(3). |
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| Authors: | RUI Yi-he |
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| Abstract: | A new Hadamard transformation over ring Z2k was defined,and complete weight enumerator and Hamming weight enumerator of linear code over ring Z2k were given.Finally,by using Hadamard transform ation,the MacWilliams identities of linear codes and their dual codes over ring Z2k were proved in the paper. |
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| Keywords: | linear code dual code weight enumerator MacWilliams identity |
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