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u-Constacyclic codes over \({\mathbb {F}}_p+u{\mathbb {F}}_p\) and their applications of constructing new non-binary quantum codes

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Abstract

Structural properties of u-constacyclic codes over the ring \({\mathbb {F}}_p+u{\mathbb {F}}_p\) are given, where p is an odd prime and \(u^2=1\). Under a special Gray map from \({\mathbb {F}}_p+u{\mathbb {F}}_p\) to \({\mathbb {F}}_p^2\), some new non-binary quantum codes are obtained by this class of constacyclic codes.

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Acknowledgements

The authors would like to thank the anonymous referees and the editor for their careful reading of the paper and valuable comments. 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. u-Constacyclic codes over \({\mathbb {F}}_p+u{\mathbb {F}}_p\) and their applications of constructing new non-binary quantum codes. Quantum Inf Process 17, 4 (2018). https://doi.org/10.1007/s11128-017-1775-8

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  • DOI: https://doi.org/10.1007/s11128-017-1775-8

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