距离为6的二元自对偶码的子码  

Subcodes of binary self-dual codes of minimum distance six

作　　者：郭罗斌[1] 贺筱军[1] 李瑞虎[1] 赵学军[1] 

机构地区：[1]空军工程大学理学院数理系,西安710051

出　　处：《计算机工程与应用》2008年第11期34-36,共3页Computer Engineering and Applications

基　　金：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

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。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.

关 键 词：自正交码 自对偶码 码链 量子纠错码 

分 类 号：TN918[电子电信—通信与信息系统] O157.4[电子电信—信息与通信工程]