| Z4上长度为p的三次剩余码 |
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| 引用本文： | 刘晓娟,朱士信.Z4上长度为p的三次剩余码[J].合肥工业大学学报(自然科学版),2012,35(6):837-841. |
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| 作者姓名： | 刘晓娟 朱士信 |
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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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| 基金项目： | 国家自然科学基金资助项目，高等学校博士学科点专项科研基金资助项目 |
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| 摘 要： | 利用Hensel提升,文章定义了Z4上长度为p的三次剩余码,其中素数p满足p≡1(mod 3)以及2是模p的三次剩余,给出了这些三次剩余码的幂等生成元,证明了这些三次剩余码有一些很好的性质;除此之外,讨论了这些剩余码的扩展码的一些性质。
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| 关 键 词： | 三次剩余码 幂等生成元 扩展码 |
Cubic residue codes of length p over Z4 |
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| LIU Xiao-juan
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ZHU Shi-xin.Cubic residue codes of length p over Z4[J].Journal of Hefei University of Technology(Natural Science),2012,35(6):837-841. |
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| Authors: | LIU Xiao-juan ZHU Shi-xin |
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| Institution: | (School of Mathematics,Hefei University of Technology,Hefei 230009,China) |
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| Abstract: | For prime p with p≡1(mod 3)and 2p-1/3≡1(mod 3),using the Hensel lift,the cubic residue codes of length p over Z4 are defined and their idempotent generators are given.It is shown that cubic residue Z4-codes of length p have good properties.Extended cubic residue Z4-codes and their properties are also studied. |
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| Keywords: | cubic residue code idempotent generator extended code |
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