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Bent functions on partial spreads. (English) Zbl 1355.94104
Summary: 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 J. F. Dillon [Proc. 6th southeast. Conf. Comb., Graph Theor., Comput., Boca Raton 1975, 237–249 (1975; Zbl 0346.05003); Elementary Hadamard difference sets. PhD thesis, University of Maryland (1974)].

##### MSC:
 94C10 Switching theory, application of Boolean algebra; Boolean functions (MSC2010) 51E14 Finite partial geometries (general), nets, partial spreads
##### Keywords:
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