  In this paper, we produce two new classes of entanglement-assisted quantum
MDS codes (EAQMDS codes) with length $n|q^2-1$ and $n|q^2+1$ via cyclic codes
over finite fields of odd characteristic. Among our constructions there are
many EAQMDS codes with new parameters which have never been reported. And some
of them have great larger minimum distance than known results.
