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New entanglement-assisted quantum MDS codes with length \(n=\frac{q^2+1}{5}\)

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Abstract

The entanglement-assisted stabilizer formalism can transform arbitrary classical linear codes into entanglement-assisted quantum error correcting codes. In this work, we construct some new entanglement-assisted quantum maximum distance separable codes with length \(n=\frac{q^2+1}{5}\) from cyclic codes. Compared with all the previously known parameters with the same length, all of them have flexible parameters and larger minimum distance.

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Acknowledgements

The authors would like to thank the referees for their helpful comments and a very meticulous reading of this manuscript.

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Authors and Affiliations

  1. School of Mathematics, Hefei University of Technology, Hefei, 230009, Anhui, People’s Republic of China

    Shixin Zhu & Wan Jiang

  2. School of Internet, Anhui University, Hefei, 230039, Anhui, People’s Republic of China

    Xiaojing Chen

Authors
  1. Shixin Zhu
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  2. Wan Jiang
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  3. Xiaojing Chen
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Correspondence to Wan Jiang.

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This research is supported by the National Natural Science Foundation of China (No. 61772168) and the Natural Science Foundation of Anhui Province (No. 2008085QA04).

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Zhu, S., Jiang, W. & Chen, X. New entanglement-assisted quantum MDS codes with length \(n=\frac{q^2+1}{5}\). Quantum Inf Process 19, 211 (2020). https://doi.org/10.1007/s11128-020-02706-5

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