New quantum codes constructed from some self-dual additive $\mathbb{F}_4$-codes. (arXiv:1805.12229v1 [math.CO])

For $(n,d)= (66,17),(78,19)$ and $(94,21)$, we construct quantum $[[n,0,d]]$ codes which improve the previously known lower bounds on the largest minimum weights among quantum codes with these parameters. These codes are constructed from self-dual additive $\mathbb{F}_4$-codes based on pairs of circulant matrices.

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