New Classes of Entanglement-assisted Quantum MDS Codes

In this paper, we produce two new classes of entanglement-assisted quantum MDS codes (EAQMDS codes) with length $n\mathrm{\mid }{q}^2-1$ and $n\mathrm{\mid }{q}^2+1$ 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.