| 距离为6的二元自对偶码的子码 |
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| 引用本文： | 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. |
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| 作者姓名： | 郭罗斌 贺筱军 李瑞虎 赵学军 |
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| 作者单位： | 空军工程大学,理学院,数理系,西安,710051 |
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| 基金项目： | 国家自然科学基金(the National Natural Science Foundation of China under Grant No.60573040)，空军工程大学理学院科研基金资助项目 |
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| 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。
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| 关 键 词： | 自正交码 自对偶码 码链 量子纠错码 |
| 文章编号： | 1002-8331(2008)11-0034-03 |
| 收稿时间： | 2007-10-10 |
| 修稿时间： | 2007年10月10 |
Subcodes of binary self-dual codes of minimum distance six |
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| 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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| Authors: | GUO Luo-bin HE Xiao-jun LI Rui-hu ZHAO Xue-jun |
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| Affiliation: | Department of Mathematics and Physics，College of Science，Air Force Engineering University，Xi’an 710051，China |
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| 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. |
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| Keywords: | self-orthogonal codes self-dual codes S-chains quantum error-correcting codes |
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