International audienceWe study the Boolean functions fλ :F2n →F2, n = 6r, of the form f (x) = Tr(λxd ) with d = 22r + 2r + 1 and λ ∈ F2n . 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
This paper considers the bent and hyper-bent properties of a class of Boolean functions of the form ...
This paper considers the bent and hyper-bent properties of a class of Boolean functions of the form ...
In this paper we introduce a sequence of discrete Fourier trans- forms and de ne new versions of ben...
AbstractA Boolean function with an even number n=2k of variables is called bent if it is maximally n...
AbstractFor any Boolean function f on GF(2)m, we define a sequence of ranks ri(f), 1 ⩽ i ⩽ m, which ...
We consider cubic boolean bent functions, each cubic monomial of which contains the same variable. W...
A function F : Fn2 → Fn2, n = 2m, can have at most 2n - 2m bent component functions. Trivial example...
In this paper we introduce a sequence of discrete Fourier trans-forms and define new versions of ben...
AbstractOne of the classes of bent Boolean functions introduced by John Dillon in his thesis is fami...
We study Dillon-type vectorial bent functions of the monomial and multinomial varieties. We also stu...
This paper considers the bent and hyper-bent properties of a class of Boolean functions of the form ...
This paper considers the bent and hyper-bent properties of a class of Boolean functions of the form ...
This paper considers the bent and hyper-bent properties of a class of Boolean functions of the form ...
Abstract: In this paper, we generalize the composition construction of Khoo et al. for highly nonlin...
A bent4 function is a Boolean function with a flat spectrum with respect to a certain unitary transfo...
This paper considers the bent and hyper-bent properties of a class of Boolean functions of the form ...
This paper considers the bent and hyper-bent properties of a class of Boolean functions of the form ...
In this paper we introduce a sequence of discrete Fourier trans- forms and de ne new versions of ben...
AbstractA Boolean function with an even number n=2k of variables is called bent if it is maximally n...
AbstractFor any Boolean function f on GF(2)m, we define a sequence of ranks ri(f), 1 ⩽ i ⩽ m, which ...
We consider cubic boolean bent functions, each cubic monomial of which contains the same variable. W...
A function F : Fn2 → Fn2, n = 2m, can have at most 2n - 2m bent component functions. Trivial example...
In this paper we introduce a sequence of discrete Fourier trans-forms and define new versions of ben...
AbstractOne of the classes of bent Boolean functions introduced by John Dillon in his thesis is fami...
We study Dillon-type vectorial bent functions of the monomial and multinomial varieties. We also stu...
This paper considers the bent and hyper-bent properties of a class of Boolean functions of the form ...
This paper considers the bent and hyper-bent properties of a class of Boolean functions of the form ...
This paper considers the bent and hyper-bent properties of a class of Boolean functions of the form ...
Abstract: In this paper, we generalize the composition construction of Khoo et al. for highly nonlin...
A bent4 function is a Boolean function with a flat spectrum with respect to a certain unitary transfo...
This paper considers the bent and hyper-bent properties of a class of Boolean functions of the form ...
This paper considers the bent and hyper-bent properties of a class of Boolean functions of the form ...
In this paper we introduce a sequence of discrete Fourier trans- forms and de ne new versions of ben...
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