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We use symplectic self-dual additive codes over $\mathbb{F}_4$ obtained frommetacirculant graphs to construct, for the first time, $[[\ell, 0, d ]]$ qubitcodes with parameters $(\ell,d) \in \{(78, 20), (90, 21), (91, 22),(93,21),(96,21)\}$. Secondary constructions applied to the qubit codes resultin many qubit codes that perform better than the previous best-known.

Improved Quantum Codes from Metacirculant Graphs via Self-Dual Additive $\mathbb{F}_4$-Codes