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Improved Constructions for Nonbinary Quantum BCH Codes

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Abstract

In this work, we present two improved constructions for nonbinary quantum BCH codes of lengths \(n=\frac {q^{4}-1}{2}\) and \(n=\frac {q^{4}-1}{q-1}\), where q is an odd prime power. Moreover, the constructed quantum BCH codes have parameters better than those obtained from other known constructions.

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Acknowledgments

The authors would like to express their grateful thanks to the referees for their valuable comments and suggestions. Special thanks go to one of the referees for drawing our attention to the work of Ref. [25]. We also thank Professor Kai for providing the copy of [14] and valuable comments. This work was supported by the National Science Foundation of China (61472003) and the Anhui Provincial Natural Science Foundation (1408085MA05).

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Authors and Affiliations

  1. Department of Mathematics, Huizhou University, Huizhou, 516007, Guangdong, People’s Republic of China

    Jianfa Qian & Lina Zhang

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  1. Jianfa Qian
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  2. Lina Zhang
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Correspondence to Jianfa Qian.

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Qian, J., Zhang, L. Improved Constructions for Nonbinary Quantum BCH Codes. Int J Theor Phys 56, 1355–1363 (2017). https://doi.org/10.1007/s10773-017-3277-y

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  • DOI: https://doi.org/10.1007/s10773-017-3277-y

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