Condition Of Several Classes Of Quantum Entanglement-assisted MDS Codes

In this thesis,some new classes of entanglement-assisted quantum MDS codes(EAQ MDS codes for short)are constructed via generalized Reed-Solomon codes over finite fields of odd characteristic.So far,the lengths of entanglement-assisted quantum MDS codes which have been found only have few kinds.Among our con-structions,there are many EAQMDS codes with new lengths which have never been reported.Moreover,some of them have larger minimum distance than the known results.