Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4583338 | Finite Fields and Their Applications | 2008 | 21 Pages |
Abstract
We study the Boolean functions , of the form f(x)=Tr(λxd) with d=22r+r2+1 and λ∈Fn2. Our main result is the characterization of those λ for which fλ are bent. We show also that the set of these cubic bent functions contains a subset, which with the constantly zero function forms a vector space of dimension 2r over F2. Further we determine the Walsh spectra of some related quadratic functions, the derivatives of the functions fλ.
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Physical Sciences and Engineering
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