| 一类Z2m环上的二次剩余码及其扩展码 |
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| 引用本文： | 谭晓青.一类Z2m环上的二次剩余码及其扩展码[J].暨南大学学报,2011,32(3):253-257. |
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| 作者姓名： | 谭晓青 |
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| 作者单位： | 暨南大学数学系,广东广州,510632 |
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| 基金项目： | 国家自然科学青年基金项目(61003258); 中央高校基本科研业务费专项资金项目(11610310) |
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| 摘 要： | 利用多项式剩余类环Z2mx]/(xp-1)上的幂等元定义了一类Z2m环上的二次剩余码,该码具有良好的对称性质,并讨论了其相应扩展码的自对偶性质.
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| 关 键 词： | 幂等生成元 二次剩余码 扩展码 自对偶码 |
A kind of quadratic residue codes over Z_(2m) and their extended codes |
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| TAN Xiao-qing.A kind of quadratic residue codes over Z_(2m) and their extended codes[J].Journal of Jinan University(Natural Science & Medicine Edition),2011,32(3):253-257. |
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| Authors: | TAN Xiao-qing |
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| Institution: | TAN Xiao-qing(Department of Mathematics,Jinan University,Guangzhou 510632,China) |
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| Abstract: | A kind of quadratic residue codes is defined by idempotent generator over polynomial residue class ring Z2mx]/(xp-1).These codes have good symmetry properties.The self-dual about the extended codes from these quadratic residue codes are also discussed. |
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| Keywords: | idempotent generator quadratic residue code extended code self-dual code |
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