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基于四元域上自正交码的4维最优码的构造

Construction of optimal codes for 4 dimensions based on quaternary self-orthogonal code
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摘要 研究了F4上维数为4的最优(或拟最优)自正交码的码长与极小距离之间的关系,用组合方法构造出任意码长的最优(或拟最优)自正交码的生成矩阵,确定了其中达到Griesmer界的码。 The relations between length and minimum distance of 4 dimensions optimal or near optimal quaternary self- orthogonal codes are investigated,the generator matrices of such random optimal or near optimal self-orthogonal codes are constructed by combinatorial method.Especially,the optimal self-orthogonal codes that achieve the Griesmer bound are determined.
出处 《计算机工程与应用》 CSCD 北大核心 2008年第28期51-52,共2页 Computer Engineering and Applications
基金 国家自然科学基金No.60573040 空军工程大学理学院科研基金~~
关键词 自正交码 Griesmer界 最优码 拟最优码 self-orthogonal code Griesmer bound optimal code near optimal code
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参考文献7

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二级参考文献8

  • 1余江明,李志慧.利用伪辛几何构造新的带仲裁的认证码[J].西北大学学报(自然科学版),2005,35(1):7-10. 被引量:1
  • 2马月娜,赵学军,冯有前.F_4上2维和3维的最优自正交码[J].空军工程大学学报(自然科学版),2005,6(5):63-66. 被引量:5
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  • 8BOUKLLIEVE L,PATRIC R J.Classification of self-orthogonal codes over and[ J ].Society for Industrial and Applied Mathematics,2005,19(2):363-370.

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