Abstract
In this paper, we study further three kinds of bent functions (binary, p-ary and gbent) related to spreads. We characterize those p-ary bent functions whose restrictions to the elements of the Dillon spread are affine. A technique for using finite pre-quasifield spreads (from finite geometry) to construct p-ary bent functions and generalized bent functions is studied and applied.
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Acknowledgements
The work of Guangkui Xu was supported in part by the National Natural Science Foundation of China under Grant 62172183, in part by the Key projects of scientific research preparation plan in Anhui Province under Grant 2022AH051585 and 2022AH051588.
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Wan, J., Xu, G. Bent functions constructed from finite pre-quasifield spreads. Comp. Appl. Math. 42, 241 (2023). https://doi.org/10.1007/s40314-023-02375-x
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DOI: https://doi.org/10.1007/s40314-023-02375-x