Abstract
In this paper, several nonexistence results on generalized bent functions \(f:\mathbb {Z}_{2}^{n} \rightarrow \mathbb {Z}_{m}\) are presented by using the knowledge on cyclotomic number fields and their imaginary quadratic subfields.
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Acknowledgments
The authors are very grateful to the three anonymous reviewers and the editors for all their helpful and constructive comments that much improved the quality of the paper. K. Feng is supported by NSFC with No. 11471178, NSFC with No. 11571007 and the National Lab. on Information Science and Technology of Tsinghua University. R. Feng is supported by NSFC with No. 61370187.
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Communicated by C. Mitchell.
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Liu, H., Feng, K. & Feng, R. Nonexistence of generalized bent functions from \(\mathbb {Z}_{2}^{n}\) to \(\mathbb {Z}_{m}\) . Des. Codes Cryptogr. 82, 647–662 (2017). https://doi.org/10.1007/s10623-016-0192-9
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DOI: https://doi.org/10.1007/s10623-016-0192-9