计算机工程与应用 ›› 2009, Vol. 45 ›› Issue (6): 46-47.DOI: 10.3778/j.issn.1002-8331.2009.06.013
• 研究、探讨 • 上一篇 下一篇
贺筱军,郭罗斌,李瑞虎
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HE Xiao-jun,GUO Luo-bin,LI Rui-hu
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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D3，D4和D5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
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 D3，D4 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
贺筱军,郭罗斌,李瑞虎. 基于三个自对偶码的S-链和量子码构造[J]. 计算机工程与应用, 2009, 45(6): 46-47.
HE Xiao-jun,GUO Luo-bin,LI Rui-hu. Construction of S-chains and quantum codes based on three self-dual codes[J]. Computer Engineering and Applications, 2009, 45(6): 46-47.
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链接本文: http://cea.ceaj.org/CN/10.3778/j.issn.1002-8331.2009.06.013
http://cea.ceaj.org/CN/Y2009/V45/I6/46
