Quantum maximum-distance-separable (MDS) codes are an important class of
quantum codes. In this paper, using constacyclic codes and Hermitain
construction, we construct some new quantum MDS codes of the form $q=2am+t$,
$n=\frac{q^{2}+1}{a}$. Most of these quantum MDS codes are new in the sense
that their parameters are not covered be the codes available in the literature.Comment: arXiv admin note: text overlap with arXiv:1803.0416

Guo, Luobin

Li, Ruihu

Lu, Liangdong