Computer Engineering and Applications ›› 2009, Vol. 45 ›› Issue (6): 46-47.DOI: 10.3778/j.issn.1002-8331.2009.06.013

• 研究、探讨 • Previous Articles     Next Articles

Construction of S-chains and quantum codes based on three self-dual codes

HE Xiao-jun,GUO Luo-bin,LI Rui-hu   

  1. College of Science,Air Force Engineering University,Xi’an 710051,China
  • Received:2008-01-14 Revised:2008-04-03 Online:2009-02-21 Published:2009-02-21
  • Contact: HE Xiao-jun

基于三个自对偶码的S-链和量子码构造

贺筱军,郭罗斌,李瑞虎   

  1. 空军工程大学 理学院,西安 710051
  • 通讯作者: 贺筱军

Abstract: By using of a random searching algorithm and classical group theory,the subcodes which dual distance between 3 and 7 of three double circulant self-dual codes D3D4 and D5 are studied.The relation of these subcodes and the subcode chains of these self-orthogonal codes are determined,and the S-chains deduced from these self-orthogonal codes are also presented.According to Steane’s construction and the S-chains obtained,some new quantum codes with good parameters are constructed.

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

摘要: 用随机搜索算法和典型群理论,研究了双循环形自对偶码D3D4D5的对偶距离d满足3≤d≤7的子码,确立了这些子码构成的自正交子码链及它们的对偶构成的S-链。利用得到的S-链,由Steane构造法构造出新的量子纠错码。

关键词: 自正交码, 码链, 量子纠错码