Abstract
For an arbitrary prime \(p\) we use partial spreads of \(\mathbb{F }_p^{2m}\) to construct two classes of bent functions from \(\mathbb{F }_p^{2m}\) to \(\mathbb{F }_p\). Our constructions generalize the classes \(PS^{(-)}\) and \(PS^{(+)}\) of binary bent functions which are due to Dillon.
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Research partially supported by the Natural Sciences and Engineering Research Council of Canada (NSERC).
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Communicated by C. Carlet.
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Lisoněk, P., Lu, H.Y. Bent functions on partial spreads. Des. Codes Cryptogr. 73, 209–216 (2014). https://doi.org/10.1007/s10623-013-9820-9
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DOI: https://doi.org/10.1007/s10623-013-9820-9