We present new constructions of binary quantum codes from quaternary linear Hermitian self-dual codes. Our main ingredients for these constructions are nearly self-orthogonal cyclic or duadic codes over F_4. An infinite family of $0$-dimensional binary quantum codes is provided. We give minimum distance lower bounds for our quantum codes in terms of the minimum distance of their ingredient linear codes. We also present new results on the minimum distance of linear cyclic codes using their fixed subcodes. Finally, we list many new record-breaking quantum codes obtained from our constructions.
翻译:我们从四向直线的赫米提亚自成二元代码中提出了二进制量子代码的新构件。 我们这些构件的主要成分几乎是F_4的自体环曲或杜阿迪码。 我们提供了一个无穷的尺寸为0美元的二进制量代码。 我们用其成份线性代码的最小距离为量子代码提供了最低距离较低的界限。 我们还用其固定的子代码介绍了线性环曲代码最低距离的新结果。 最后,我们列出了从我们构件中获取的许多新破纪录量子代码。