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Quantum Codes Derived from Negacyclic Codes

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Abstract

Recently, La Guardia constructed some new quantum codes from cyclic codes (La Guardia, Int. J. Theor. Phys., 2017). Inspired by this work, we consider quantum codes construction from negacyclic codes, not equivalent to cyclic codes, with only one cyclotomic coset containing at least two odd consecutive integers of even length. Some new quantum codes are obtained by this class of negacyclic codes.

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Acknowledgements

This research is supported by the National Natural Science Foundation of China (Grant Nos. 11701336, 11626144 and 11671235).

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Authors and Affiliations

  1. School of Science, Shandong University of Technology, Zibo, 255000, People’s Republic of China

    Jian Gao & Yongkang Wang

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  1. Jian Gao
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  2. Yongkang Wang
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Correspondence to Jian Gao.

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Gao, J., Wang, Y. Quantum Codes Derived from Negacyclic Codes. Int J Theor Phys 57, 682–686 (2018). https://doi.org/10.1007/s10773-017-3599-9

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  • DOI: https://doi.org/10.1007/s10773-017-3599-9

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