| 环F_2+uF_2+…+u~kF_2上的自对偶码 |
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| 引用本文： | 汤道安,朱士信,唐永生.环F_2+uF_2+…+u~kF_2上的自对偶码[J].合肥工业大学学报(自然科学版),2010,33(3). |
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| 作者姓名： | 汤道安 朱士信 唐永生 |
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| 作者单位： | 合肥工业大学,数学学院,安徽,合肥,230009 |
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| 摘 要： | 文章研究了环F2+uF2+…+ukF2上的自对偶码,给出了其存在的充分必要条件,并定义了环上线性码的高阶挠码,最后考察了F2+uF2+…+ukF2(k≥2)与F2+uF2上自正交码之间的关系。
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| 关 键 词： | 线性码 自对偶码 自正交码 |
Self-dual codes over the ring F_2+uF_2+…+u~kF_2 |
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| TANG Dao-an,ZHU Shi-xin,TANG Yong-sheng.Self-dual codes over the ring F_2+uF_2+…+u~kF_2[J].Journal of Hefei University of Technology(Natural Science),2010,33(3). |
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| Authors: | TANG Dao-an ZHU Shi-xin TANG Yong-sheng |
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| Abstract: | Self-dual codes over the finite ring F_2+uF_2+…+u~kF_2 are studied. A sufficient and necessary condition for its existence is given. Then higher torsion codes of linear codes over F_2+uF_2+…+u~kF_2 are defined. Finally, the relation between self-orthogonal codes over F_2+uF_2+…+u~kF_2(k≥2) and those over F_2+uF_2 is discussed. |
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| Keywords: | linear code self-dual code self-orthogonal code |
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