| F2＋uF2环上接近MDR码 |
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| 引用本文： | 刘花璐,陈希,刘修生.F2＋uF2环上接近MDR码[J].计算机工程与应用,2014(8):77-80. |
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| 作者姓名： | 刘花璐 陈希 刘修生 |
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| 作者单位： | 湖北理工学院数理学院;湖北理工学院经济与管理学院 |
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| 基金项目： | 湖北省教育厅自然科学重点项目基金(No.B20114410) |
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| 摘 要： | S.M.Dodunekov和I.N.Landgev定义并研究了域 Fq上接近MDS码。对于 F2＋uF2环，相应地定义了接近MDR码，证明了 F2＋uF2环上线性码C 为接近MDR码的充要条件是它的挠码Tor（C）为它剩余类域 F2上的接近MDS码，并给出了F2＋uF2环上所有接近MDR码的生成矩阵。
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| 关 键 词： | 线性码 挠码 剩余类码 几乎MDR码 接近MDR码 |
Near-MDR codes over F2＋uF2 |
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| LIU Hualu;CHEN Xi;LIU Xiusheng.Near-MDR codes over F2＋uF2[J].Computer Engineering and Applications,2014(8):77-80. |
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| Authors: | LIU Hualu;CHEN Xi;LIU Xiusheng |
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| Affiliation: | LIU Hualu;CHEN Xi;LIU Xiusheng;School of Mathematics and Physics,Hubei Polytechnic University;School of Economy and Management,Hubei Polytechnic University; |
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| Abstract: | In 1994, S. M. Dodunekov and I. N. Landgev define and study the near-MDS codes over field Fq . In this paper, the near-MDR codes over ring F2＋uF2 are defined, and it is proved that the linear codes over ring F2＋uF2 are the near-MDR if and only if the torsion codes Tor（C） are the near-MDS over residue field F2 , and generator matrices of all near-MDR codes over ring F2＋uF2 are given. |
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| Keywords: | linear code torsion code residue code almost-MDR code near-MDR code |
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