We construct qubit stabilizer codes with parameters ${〚81,0,20〛}_2$ and ${〚94,0,22〛}_2$ for the first time. We use symplectic self-dual additive codes over ${\mathbb{F}}_4$ built by modifying the adjacency matrices of suitable metacirculant graphs found by a randomized search procedure.

中文翻译：

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来自边界元循环结构的两个新的零维量子位代码

我们用参数构建量子比特稳定器代码 ${〚81,0,20〛}_2$ 和 ${〚94,0,22〛}_2$首次。我们使用辛自对偶可加码${\mathbb{F}}_4$ 通过修改随机搜索过程找到的合适元循环图的邻接矩阵来构建。