距离为6的二元自对偶码的子码

计算机工程与应用 ›› 2008, Vol. 44 ›› Issue (11): 34-36.

距离为6的二元自对偶码的子码

郭罗斌,贺筱军,李瑞虎,赵学军

空军工程大学理学院数理系，西安 710051

收稿日期:2007-10-10 修回日期:2008-01-15 出版日期:2008-04-11 发布日期:2008-04-11
通讯作者: 郭罗斌

Subcodes of binary self-dual codes of minimum distance six

GUO Luo-bin,HE Xiao-jun,LI Rui-hu,ZHAO Xue-jun

Department of Mathematics and Physics，College of Science，Air Force Engineering University，Xi’an 710051，China

Received:2007-10-10 Revised:2008-01-15 Online:2008-04-11 Published:2008-04-11
Contact: GUO Luo-bin

摘要/Abstract

摘要： 用随机搜索算法研究了码长n满足22≤n≤30且距离为6的二元自对偶码的子码，构造出它们的对偶距离为3、4、5和6的子码的生成矩阵。研究了这些子码构成的码链以及它们的对偶码构成的码链。利用所得到的码链，由Steane构造法构造出距离为5和6的具有很好参数的量子纠错码，改进了前人得到的几个量子纠错码的参数。

关键词: 自正交码, 自对偶码, 码链, 量子纠错码

Abstract: The subcodes of binary self-dual codes whose length n between 22 and 30 and minimum distance six are studied by using of a random search algorithm，and the subcodes of dual distance 3，4，5 and 6 of these self-dual codes are constructed.The code chains of these self-orthogonal subcodes and the S-chains obtained from the dual of these self-orthogonal subcodes are also determined.According to Steane’s construction，some very good quantum codes of distance five and six are constructed by the obtained S-chains，and some of these quantum codes have improved parameters than previously known codes.

Key words: self-orthogonal codes, self-dual codes, S-chains, quantum error-correcting codes

郭罗斌,贺筱军,李瑞虎,赵学军. 距离为6的二元自对偶码的子码[J]. 计算机工程与应用, 2008, 44(11): 34-36.

GUO Luo-bin,HE Xiao-jun,LI Rui-hu,ZHAO Xue-jun. Subcodes of binary self-dual codes of minimum distance six[J]. Computer Engineering and Applications, 2008, 44(11): 34-36.

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