Computer Engineering and Applications ›› 2008, Vol. 44 ›› Issue (28): 51-52.DOI: 10.3778/j.issn.1002-8331.2008.28.017
• 理论研究 • Previous Articles Next Articles
LI Yi-qun,ZHAO Xue-jun,LI Rui-hu,WANG Lei
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李益群,赵学军,李瑞虎,王 雷
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Abstract: 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.
Key words: self-orthogonal code, Griesmer bound, optimal code, near optimal code
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。
关键词: 自正交码, Griesmer界, 最优码, 拟最优码
LI Yi-qun,ZHAO Xue-jun,LI Rui-hu,WANG Lei. Construction of optimal codes for 4 dimensions based on quaternary self-orthogonal code[J]. Computer Engineering and Applications, 2008, 44(28): 51-52.
李益群,赵学军,李瑞虎,王 雷. 基于四元域上自正交码的4维最优码的构造[J]. 计算机工程与应用, 2008, 44(28): 51-52.
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URL: http://cea.ceaj.org/EN/10.3778/j.issn.1002-8331.2008.28.017
http://cea.ceaj.org/EN/Y2008/V44/I28/51
