New quantum codes from metacirculant graphs via self-dual additive $\mathbb{F}_4$-codes
Padmapani Seneviratne, Martianus Frederic Ezerman
We use symplectic self-dual additive codes over $ \mathbb{F}_4 $ obtained from metacirculant graphs to construct, for the first time, $ \left[\kern-0.15em\left[ {\ell, 0, d} \right]\kern-0.15em\right] $ qubit codes with parameters $ (\ell,d) \in \{(78, 20), (90, 21), (91, 22), (93,21),(96,22)\} $. Secondary constructions applied to the qubit codes result in many new qubit codes that perform better than the previous best-known.
Advances in Mathematics of Communications•Jan 12, 2022•1 citation