Some New Classes of Entanglement-assisted Quantum MDS Codes from generalized Reed-Solomon Codes.

In this paper, we produce some new classes of entanglement-assisted quantumMDS codes(EAQMDS codes for short) via generalized Reed-Solomon codes overfinite fields of odd characteristic. Among our constructions, there are manyEAQMDS codes with new lengths which have never been reported. Moreover, some ofthem have larger minimum distance than known results.