Add to ORKGWe give all the polynomials functions of degree 20 which are APN over an infinity of field extensions and show they are all CCZ-equivalent to the function $x^5$, which is a new step in proving the conjecture of Aubry, McGuire and Rodier
We present two infinite families of APN functions on GF(2n) where n is divisible by 3 but not 9. Ou...
Almost perfect nonlinear (APN) and almost bent (AB) functions are integral components of modern bloc...
In this paper we investigate several families of monomial functions with APN-like exponents that are...
International audienceWe prove a necessary condition for some polynomials of degree 4e (e an odd num...
In this paper, we show that there is no vectorial Boolean function of degree 4e, with e satisfaying ...
International audienceWe prove a necessary condition for some polynomials of Gold and Kasami degree ...
10We prove a necessary condition for some polynomials of Kasami degree to be APN over F _{q^n} for l...
We prove that functions f:F_{2^m} to F_{2^m} of the form f(x)=x^(-1)+g(x) where g is any non-affine ...
This article has been accepted in the proceedings of Finite Fields and their applications 11 proceed...
International audienceWe consider exceptional APN functions on ${\bf F}_{2^m}$, which by definition ...
We exhibit an infinite class of almost perfect nonlinear quadratic polynomials from $\mathbb{F}_{2^n...
AbstractWe introduce two new infinite families of APN functions, one on fields of order 22k for k no...
Establishing the CCZ-equivalence of a pair of APN functions is generally quite difficult. In some c...
Almost perfect nonlinear (APN) functions over fields of characteristic 2 play an important role in c...
The binomial B(x) = x 3 +βx 36 (where β is primitive in F 2 2) over F 2 10 is the first known exampl...
We present two infinite families of APN functions on GF(2n) where n is divisible by 3 but not 9. Ou...
Almost perfect nonlinear (APN) and almost bent (AB) functions are integral components of modern bloc...
In this paper we investigate several families of monomial functions with APN-like exponents that are...
International audienceWe prove a necessary condition for some polynomials of degree 4e (e an odd num...
In this paper, we show that there is no vectorial Boolean function of degree 4e, with e satisfaying ...
International audienceWe prove a necessary condition for some polynomials of Gold and Kasami degree ...
10We prove a necessary condition for some polynomials of Kasami degree to be APN over F _{q^n} for l...
We prove that functions f:F_{2^m} to F_{2^m} of the form f(x)=x^(-1)+g(x) where g is any non-affine ...
This article has been accepted in the proceedings of Finite Fields and their applications 11 proceed...
International audienceWe consider exceptional APN functions on ${\bf F}_{2^m}$, which by definition ...
We exhibit an infinite class of almost perfect nonlinear quadratic polynomials from $\mathbb{F}_{2^n...
AbstractWe introduce two new infinite families of APN functions, one on fields of order 22k for k no...
Establishing the CCZ-equivalence of a pair of APN functions is generally quite difficult. In some c...
Almost perfect nonlinear (APN) functions over fields of characteristic 2 play an important role in c...
The binomial B(x) = x 3 +βx 36 (where β is primitive in F 2 2) over F 2 10 is the first known exampl...
We present two infinite families of APN functions on GF(2n) where n is divisible by 3 but not 9. Ou...
Almost perfect nonlinear (APN) and almost bent (AB) functions are integral components of modern bloc...
In this paper we investigate several families of monomial functions with APN-like exponents that are...