We study dihedral quantum codes of short block length, a large class of quantum CSS codes obtained by the lifted product construction. We present code construction and give a formula for the code dimension, depending on the two classical codes on which the CSS code is based on. We also give a lower bound on the code distance. Finally we construct an example of short dihedral quantum codes, improving parameters of previously known quantum codes.

翻译：我们研究了短块长度的二面角量子码，这是一类通过提升积构造获得的大规模量子CSS码。我们给出了码的构造方法，并基于构成CSS码的两个经典码推导出码维数的计算公式。同时给出了码距的下界。最后，我们构造了一个短二面角量子码实例，改进了已知量子码的参数。