Two new classes of quantum MDS codes from generalized Reed-Solomon codes

In this paper, we mainly use classical Hermitian self-orthogonal generalized Reed-Solomon codes to construct two new classes of quantum MDS codes. Most of our quantum MDS codes have minimum distance larger than q/2+1. Compared with previously known constructions, these quantum MDS codes in our constructions have large minimum distance and their parameters are not covered by the previous codes.Comment: Unfortunately, we have recognized that the quantum MDS codes in our manuscript is covered by the codes in the reference [17]. We are going to rearrange this manuscript and try to give more new result