Entanglement-assisted Quantum MDS Codes from generalized Reed-Solomon Codes
arXiv:1910.06769
Abstract
In this paper, we produce some new classes of entanglement-assisted quantum MDS codes(EAQMDS codes for short) via generalized Reed-Solomon codes over finite fields of odd characteristic. Among our constructions, there are many EAQMDS codes with new lengths which have never been reported. Moreover, some of them have larger minimum distance than known results.
arXiv comment13 pages. arXiv admin note: text overlap with arXiv:1909.07234
References in corpus (6)
- Good Quantum Error-Correcting Codes Exist
- Correcting Quantum Errors with Entanglement
- Asymptotically Good Quantum Codes
- New entanglement-assisted MDS quantum codes from constacyclic codes
- Entanglement-assisted quantum MDS codes from constacyclic codes with large minimum distance
- New Classes of Entanglement-assisted Quantum MDS Codes