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Constructions of New Nonbinary Quantum Codes

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Abstract

Two new families of good nonbinary quantum codes are constructed in this paper. The first one can be regarded as a generalization of [Theorem 3.2, X. Kai, S. Zhu and Y. Tang, Phys. Rev. A 88, 012326 (2013)], in the sense that we drop the constraint q≡1 (mod 4). The later one is a quantum maximal-distance-separable (MDS) code. Compared the parameters of our quantum MDS codes with the parameters of quantum MDS codes available in the literature, the quantum MDS codes exhibited here have bigger minimum distance.

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Acknowledgments

The authors would like to thank the referees for a very meticulous reading of this manuscript. The second author is supported by NSFC (Grant No. 11171370), the Youth Backbone Teacher Foundation of Henan’s University (Grant No. 2013GGJS-152), and Science and Technology Development Program of Henan Province in 2014 (144300510051). The research of the third author is partially supported by NSFC (Grant No. 11271005) and Nanyang Technological University’s research grant number M4080456.

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Authors and Affiliations

  1. School of Mathematical Sciences, Capital Normal University, Beijing, 100048, China

    Xueqin Hu

  2. School of Mathematical Sciences, Luoyang Normal University, Luoyang, Henan, 471022, China

    Guanghui Zhang

  3. Division of Mathematical Sciences, School of Physical & Mathematical Sciences, Nanyang Technological University, Singapore, 637616, Singapore

    Bocong Chen

Authors
  1. Xueqin Hu
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  2. Guanghui Zhang
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  3. Bocong Chen
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Correspondence to Guanghui Zhang.

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Hu, X., Zhang, G. & Chen, B. Constructions of New Nonbinary Quantum Codes. Int J Theor Phys 54, 92–99 (2015). https://doi.org/10.1007/s10773-014-2204-8

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  • DOI: https://doi.org/10.1007/s10773-014-2204-8

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