论文标题
F_4上的自偶代码的新量子代码
New quantum codes from self-dual codes over F_4
论文作者
论文摘要
我们介绍了第四纪线性遗产自我双重代码的二进制量子代码的新结构。这些结构的主要成分几乎是F_4上的自动循环或DUADIC代码。提供了一个无限的家庭$ 0 $维二进制量子代码。我们根据其成分线性代码的最小距离给出量子代码的最小距离下限。我们还使用其固定子代码对线性循环代码的最小距离提出了新的结果。最后，我们列出了从我们的构造中获得的许多新的破纪录量子代码。
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.
