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环F_2+uF_2上线性码及其对偶码的Mac Williams恒等式 被引量:17

MacWilliams identities of linear codes and their dual codes over F_2+uF_2
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摘要 定义了环F2+uF2上线性码的李重量分布的概念;利用域F2上线性码和对偶码的重量分布的关系及其Gray映射,得到了环F2+uF2上线性码及其对偶码各种重量分布的MacWilliams恒等式. Lee weight distribution of linear codes over F2+uF2 was defined. By the relationship of linear codes and their dual codes over F2 and the Gray map, the MacWilliams identities for different weight enumerators of the linear codes over F2+ uFz and their dual codes were given.
出处 《中国科学技术大学学报》 CAS CSCD 北大核心 2006年第12期1285-1288,共4页 JUSTC
基金 安徽省自然科学基金(03042201) 安徽省教育厅自然科学研究基金(2006KJ254B)资助
关键词 对偶码 GRAY映射 李重量分布MacWilliams恒等式 dual codes Gray map Lee weight distribution MacWilliams identity
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参考文献7

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二级参考文献9

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