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New entanglement-assisted quantum MDS codes with larger minimum distance

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Abstract

In this paper, we construct some new entanglement-assisted quantum maximum distance separable (EAQMDS) codes with lengths \(n=q^2+1\) and \(n=(q^2+1)/2\) from negacyclic MDS codes and constacyclic MDS codes, respectively. All of them have flexible parameters. These EAQMDS codes we constructed have larger minimum distance and contain the known EAQMDS codes with same length in previous papers.

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Authors and Affiliations

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

    Binbin Pang, Shixin Zhu & Fulin Li

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

    Xiaojing Chen

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  1. Binbin Pang
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  2. Shixin Zhu
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  3. Fulin Li
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  4. Xiaojing Chen
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Correspondence to Shixin Zhu.

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This research is supported by the National Natural Science Foundation of China under Grant Nos. 61772168, 61802102 and 11501156, and the Anhui Provincial Natural Science Foundation under Grant No. 1708085QA01.

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Pang, B., Zhu, S., Li, F. et al. New entanglement-assisted quantum MDS codes with larger minimum distance. Quantum Inf Process 19, 207 (2020). https://doi.org/10.1007/s11128-020-02698-2

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