Corpus ID: 202577900

Two New Classes of Entanglement-assisted Quantum MDS Codes

@article{Jin2019TwoNC,
  title={Two New Classes of Entanglement-assisted Quantum MDS Codes},
  author={Renjie Jin and Derong Xie and Jinquan Luo},
  journal={ArXiv},
  year={2019},
  volume={abs/1909.07234}
}
  • Renjie Jin, Derong Xie, Jinquan Luo
  • Published in ArXiv 2019
  • Mathematics, Computer Science
  • 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. 

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