Abstract
Let q be a prime power and \(m\ge 2\) an integer. In this paper, based on classical \(q^{2}\)-ary constacyclic codes, we apply the Hermitian construction to obtain several classes of q-ary quantum stabilizer codes of length \((q^{2m}-1)/(q+1)\). These quantum codes have parameters better than those obtained from classical BCH codes.
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Acknowledgments
The authors would like to thank the two anonymous reviewers for their valuable comments which help to improve the presentation of this manuscript. This research is supported by the National Natural Science Foundation of China under Grants 61370089, 61572168 and 11501156, the Open Research Fund of National Mobile Communications Research Laboratory, Southeast University under Grant 2014D04, and the Fundamental Research Funds for the Central Universities under Grant No. JZ2015HGXJ0174.
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Communicated by C. Mitchell.
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Yuan, J., Zhu, S., Kai, X. et al. On the construction of quantum constacyclic codes. Des. Codes Cryptogr. 85, 179–190 (2017). https://doi.org/10.1007/s10623-016-0296-2
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DOI: https://doi.org/10.1007/s10623-016-0296-2