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Two Classes of New Optimal Asymmetric Quantum Codes

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Abstract

Let q be an even prime power and ω be a primitive element of \(\mathbb {F}_{q^{2}}\). By analyzing the structure of cyclotomic cosets, we determine a sufficient condition for ωq− 1-constacyclic codes over \(\mathbb {F}_{q^{2}}\) to be Hermitian dual-containing codes. By the CSS construction, two classes of new optimal AQECCs are obtained according to the Singleton bound for AQECCs.

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Authors and Affiliations

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

    Xiaojing Chen, Shixin Zhu & Xiaoshan Kai

Authors
  1. Xiaojing Chen
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  2. Shixin Zhu
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  3. Xiaoshan Kai
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Corresponding author

Correspondence to Xiaojing Chen.

Additional information

This research is supported by the National Natural Science Foundation of China (No. 61772168; No. 61572168) and Anhui Provincial Natural Science Foundation (No. 1508085SQA198).

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Chen, X., Zhu, S. & Kai, X. Two Classes of New Optimal Asymmetric Quantum Codes. Int J Theor Phys 57, 1829–1838 (2018). https://doi.org/10.1007/s10773-018-3708-4

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  • DOI: https://doi.org/10.1007/s10773-018-3708-4

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