Add to ORKGIn this paper we give an improvement of the degree of the homogeneous linear recurrence with integer coefficients that exponential sums of symmetric Boolean functions satisfy. This improvement is tight. We also compute the asymptotic behavior of symmetric Boolean functions and provide a formula that allows us to determine if a symmetric boolean function is asymptotically not balanced. In particular, when the degree of the symmetric function is a power of two, then the exponential sum is much smaller than 2 n
In this thesis we consider the boolean elementary symmetric functions over a field with characterist...
We investigate the nonlinearity of functions from F_2^{m} to F_2^{n}. We give asymptotic bounds for ...
© 2019 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for a...
Abstract. In this paper we give an improvement of the degree of the ho-mogeneous linear recurrence w...
http://www.ieee.org/We present an extensive study of symmetric Boolean functions, especially of thei...
International audienceWe exhibit the link between the periodicity of the value vectors symmetric Boo...
In this paper, we give some results towards the conjecture that σ2t+1l-1,2t are the only nonlinear b...
It is known that exponential sums of symmetric Boolean functions are linear recurrent. The character...
International audienceWe present the properties of a new class of Boolean functions defined as the s...
International audienceHooley proved that if f ∈ Z[X] is irreducible of degree ≥ 2, then the fraction...
AbstractWe obtain asymptotic formulas for all the moments of certain arithmetic functions with linea...
AbstractNew subsets of symmetric balanced and symmetric correlation immune functions are identified....
International audienceIt is known that the symmetric Boolean functions with optimal nonlinearity are...
AbstractThe sums S(β)l(n) occur in the representations of the symmetric and the general linear group...
AbstractWe improve parts of the results of [T. W. Cusick, P. Stanica, Fast evaluation, weights and n...
In this thesis we consider the boolean elementary symmetric functions over a field with characterist...
We investigate the nonlinearity of functions from F_2^{m} to F_2^{n}. We give asymptotic bounds for ...
© 2019 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for a...
Abstract. In this paper we give an improvement of the degree of the ho-mogeneous linear recurrence w...
http://www.ieee.org/We present an extensive study of symmetric Boolean functions, especially of thei...
International audienceWe exhibit the link between the periodicity of the value vectors symmetric Boo...
In this paper, we give some results towards the conjecture that σ2t+1l-1,2t are the only nonlinear b...
It is known that exponential sums of symmetric Boolean functions are linear recurrent. The character...
International audienceWe present the properties of a new class of Boolean functions defined as the s...
International audienceHooley proved that if f ∈ Z[X] is irreducible of degree ≥ 2, then the fraction...
AbstractWe obtain asymptotic formulas for all the moments of certain arithmetic functions with linea...
AbstractNew subsets of symmetric balanced and symmetric correlation immune functions are identified....
International audienceIt is known that the symmetric Boolean functions with optimal nonlinearity are...
AbstractThe sums S(β)l(n) occur in the representations of the symmetric and the general linear group...
AbstractWe improve parts of the results of [T. W. Cusick, P. Stanica, Fast evaluation, weights and n...
In this thesis we consider the boolean elementary symmetric functions over a field with characterist...
We investigate the nonlinearity of functions from F_2^{m} to F_2^{n}. We give asymptotic bounds for ...
© 2019 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for a...