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On new quantum codes from matrix product codes

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Abstract

Quantum error-correcting codes are studied from classical matrix product codes point of view. Two methods to construct quantum codes from matrix product codes are provided. These constructions are applied to obtain numerous new quantum codes, some of them have better parameters than current quantum codes available.

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Acknowledgements

This work was supported by Research Funds of Hubei Province (Grant No. D20144401 and Q20174503), the Educational Commission of Hubei Province (Grant No. B2015096), and Research Project of Hubei Polytechnic University (Grant No. 17xjz03A).

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Authors and Affiliations

  1. School of Mathematics and Physics, Hubei Polytechnic University, Huangshi, 435003, China

    Xiusheng Liu, Hualu Liu & Long Yu

  2. Department of Mathematical Sciences, Kent State University, 4314 Mahoning Avenue, Warren, OH, 44483, USA

    Hai Q. Dinh

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  1. Xiusheng Liu
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  2. Hai Q. Dinh
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  3. Hualu Liu
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  4. Long Yu
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Correspondence to Xiusheng Liu.

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Liu, X., Dinh, H.Q., Liu, H. et al. On new quantum codes from matrix product codes. Cryptogr. Commun. 10, 579–589 (2018). https://doi.org/10.1007/s12095-017-0242-9

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  • DOI: https://doi.org/10.1007/s12095-017-0242-9

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Mathematics Subject Classification (2010)