New Classes of Entanglement-assisted Quantum MDS Codes

Abstract

In this paper, we produce two new classes of entanglement-assisted quantum MDS codes(EAQMDS codes for short) with length n being a factor of 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. Moreover, some of them have much larger minimum distance than known results.