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Enumeration of \({\mathbb {Z}}_4\)-double cyclic codes

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Abstract

In this paper, we study enumeration formulas of \({\mathbb {Z}}_4\)-double cyclic codes. We give the enumerations of separable \({\mathbb {Z}}_4\)-double cyclic codes and a class of non-separable \({\mathbb {Z}}_4\)-double cyclic codes with the coprime block lengths.

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Acknowledgements

The authors would like to thank the referees and the editor for their valuable comments on this paper. This research is supported by the National Natural Science Foundation of China (Nos. 12071264, 11701336, 11626144, 11671235).

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Correspondence to Jian Gao.

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Wu, T., Gao, J. Enumeration of \({\mathbb {Z}}_4\)-double cyclic codes. J. Appl. Math. Comput. 68, 3251–3261 (2022). https://doi.org/10.1007/s12190-021-01668-w

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  • DOI: https://doi.org/10.1007/s12190-021-01668-w

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