We use symplectic self-dual additive codes over $\mathbb{F}_4$ obtained from metacirculant graphs to construct, for the first time, $[[\ell, 0, d ]]$ qubit codes with parameters $(\ell,d) \in \{(78, 20), (90, 21), (91, 22), (93,21),(96,21)\}$. Secondary constructions applied to the qubit codes result in many qubit codes that perform better than the previous best-known.
翻译:我们使用超过$mathbb{F ⁇ 4$的单体自体添加编码,从美食成份图中获取的自体添加编码,首次制造了[$[\ell,0,d]]]]$qubit编码,参数为$(78,20),(90,21),(91,22),(93,21),(96,21]$。