In this paper, we propose a sufficient condition for a family of 2-generator self-orthogonal quasi-cyclic codes with respect to Hermitian inner product. Supported in the Hermitian construction, we show algebraic constructions of good quantum codes. 30 new binary quantum codes with good parameters improving the best-known lower bounds on minimum distance in Grassl's code tables \cite{Grassl:codetables} are constructed.

翻译：本文针对埃尔米特内积提出了一类2生成元自正交准循环码族的充分条件。基于埃尔米特构造框架，我们展示了优质量子码的代数构造方法。通过该构造，我们获得了30个具有优良参数的新型二进制量子码，这些码的最小距离下界在Grassl码表\\cite{Grassl:codetables}中突破了现有最优记录。