English

New Classes of Entanglement-assisted Quantum MDS Codes

Information Theory 2020-08-27 v7 math.IT

Abstract

In this paper, we produce two new classes of entanglement-assisted quantum MDS codes (EAQMDS codes) with length nq21n|q^2-1 and nq2+1n|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.

Keywords

Cite

@article{arxiv.1909.07234,
  title  = {New Classes of Entanglement-assisted Quantum MDS Codes},
  author = {Renjie Jin and Derong Xie and Jinquan Luo},
  journal= {arXiv preprint arXiv:1909.07234},
  year   = {2020}
}

Comments

10 pages

R2 v1 2026-06-23T11:16:43.951Z