It is well known that quantum codes can be constructed by means of classical symplectic dual-containing codes. This paper considers a family of two-generators quasi-cyclic codes and derives sufficient conditions for these codes to be dual-containing. Then, a new method for constructing binary quantum codes is proposed. As an application, we construct 11 binary quantum codes that exceed the beak-known results. Further, another 40 new binary quantum codes are obtained by propagation rules, all of which improve the lower bound on the minimum distance.
翻译:众所周知,量子编码可以通过古典的共振双重含双重成分编码来构建,本文认为一套由两种发电机组成的半循环编码,并提出了足够条件使这些编码具有双重性。然后,提出了一个新的方法来构建二元量子编码。作为一种应用,我们建造了11个超过已知结果的二元量编码。此外,通过传播规则又获得了40个新的二元量编码,所有这些都提高了最低距离的下限。