Article ID Journal Published Year Pages File Type
4583338 Finite Fields and Their Applications 2008 21 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory