| 环F_2+uF_2上线性码关于两种内积的MacWilliams恒等式 |
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| 引用本文： | 芮义鹤.环F_2+uF_2上线性码关于两种内积的MacWilliams恒等式[J].安徽大学学报(自然科学版),2010,34(5). |
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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： | 在环F2+uF2上定义了线性码关于Euc lidean内积和Hermitian内积的对偶码,并给出环F2+uF2上线性码的完全重量计数器、对称重量计数器的一种新的定义,证明环F2+uF2上线性码关于这几种重量计数器的MacWilliam s恒等式,以及环F2+uF2上线性码关于Euclidean内积和Hermitian内积的几种重量计数器的MacWilliam s恒等式是一致的.
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| 关 键 词： | Euclidean内积 Hermitian内积 重量计数器 MacWilliams恒等式 线性码 对偶码 |
MacWilliams identities of liner codes over ring F_2+uF_2 with respect to two inner products |
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| RUI Yi-he.MacWilliams identities of liner codes over ring F_2+uF_2 with respect to two inner products[J].Journal of Anhui University(Natural Sciences),2010,34(5). |
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| Authors: | RUI Yi-he |
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| Institution: | RUI Yi-he(College of Statistics , Mathematics,Zhejiang Gongshang University,Hangzhou 310018,China) |
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| Abstract: | Two dual codes of liner code over the ring F2+uF2 about the Euclidean inner product and the Hermitian inner product were defined,new definitions about the complete weight enumerator and the symmetrized weight enumerator could be found in the paper.MacWilliams identities with respect to the Euclidean inner product and the Hermitian inner product were proved.Finally,we proved that for codes over the ring F2+uF2 the MacWilliams relations for the cwe,swe,Lee,Ham were the same for both inner products. |
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| Keywords: | the Euclidean inner product the Hermitian inner product weight enumerator MacWilliams identity liner code dual code |
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