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

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