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

• 理论研究 • 上一篇    下一篇

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   

  1. 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   

  1. 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: 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