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) 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.

arXiv comment10 pages

References in corpus (7)

• Good Quantum Error-Correcting Codes Exist
• Simple Quantum Error Correcting Codes
• Asymptotically Good Quantum Codes
• Duality in Entanglement-Assisted Quantum Error Correction
• Entanglement-assisted quantum low-density parity-check codes
• New entanglement-assisted MDS quantum codes from constacyclic codes
• Entanglement-assisted quantum MDS codes from constacyclic codes with large minimum distance

Cited by in corpus (1)

• Entanglement-assisted Quantum MDS Codes from generalized Reed-Solomon Codes