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Decomposing generalized bent and hyperbent functions
In this paper we introduce generalized hyperbent functions from to
, and investigate decompositions of generalized (hyper)bent functions.
We show that generalized (hyper)bent functions from to
consist of components which are generalized (hyper)bent functions from
to for some . For odd , we show
that the Boolean functions associated to a generalized bent function form an
affine space of semibent functions. This complements a recent result for even
, where the associated Boolean functions are bent.Comment: 24 page
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