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New EAQMDS codes constructed from negacyclic codes

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Abstract

In this paper, we construct four families of entanglement-assisted quantum error-correcting codes (EAQECCs) with flexible parameters from negacyclic codes. By selecting different defining sets, our codes are new in the sense that their parameters are not covered by the codes available in the literature. Moreover, the EAQECCs we constructed are optimal and have larger minimum distance compared with the known codes with the same length.

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Acknowledgements

The authors would like to thank the referees and editor 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, 230601, Anhui, People’s Republic of China

    Wan Jiang & Shixin Zhu

  2. Intelligent Interconnected Systems Laboratory of Anhui Province (Hefei University of Technology), Hefei, People’s Republic of China

    Wan Jiang & Shixin Zhu

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

    Xiaojing Chen

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

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This research is supported by the National Natural Science Foundation of China (No. 61772168, 12001002) and the Natural Science Foundation of Anhui Province (No. 2008085QA04).

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Jiang, W., Zhu, S. & Chen, X. New EAQMDS codes constructed from negacyclic codes. Quantum Inf Process 19, 424 (2020). https://doi.org/10.1007/s11128-020-02934-9

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  • DOI: https://doi.org/10.1007/s11128-020-02934-9

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