Abstract
In this paper, we construct some new entanglement-assisted quantum maximum distance separable (EAQMDS) codes with lengths $$n=q^2+1$$ and $$n=(q^2+1)/2$$ from negacyclic MDS codes and constacyclic MDS codes, respectively. All of them have flexible parameters. These EAQMDS codes we constructed have larger minimum distance and contain the known EAQMDS codes with same length in previous papers.
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