Add to ORKGAbstract. In this paper, we show that there is no vectorial Boolean function of degree 4e, with e satisfaying certain conditions, which is APN over infinitely many extensions of its field of definition. It is a new step in the proof of the conjecture of Aubry, McGuire and Rodier. Vectorial Boolean function and Al-most Perfect Non-linear functions and Algebraic surface and CCZ equivalence 1
We exhibit an infinite class of almost perfect nonlinear quadratic polynomials from $\mathbb{F}_{2^n...
International audienceAbstract In this work, we study functions that can be obtained by restricting ...
Modern cryptography is deeply founded on mathematical theory and vectorial Boolean functions play an...
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 degree 4e (e an odd num...
We give all the polynomials functions of degree 20 which are APN over an infinity of field extension...
In this paper we define a notion of partial APNness and find various characterizations and construct...
We investigate the differential properties of a vectorial Boolean function G obtained by modifying a...
In this work, we study functions that can be obtained by restricting a vectorial Boolean function \(...
In this work, we study functions that can be obtained by restricting a vectorial Boolean function \(...
C.~Carlet, P.~Charpin, V.~Zinoviev in 1998 defined the associated Boolean function $\gamma_F(a,b)$ i...
This article has been accepted in the proceedings of Finite Fields and their applications 11 proceed...
In this paper we define a notion of partial APNness and find various characterizations and construct...
For a function F : Fn Fn, it is defined the associated Boolean function yF in 2n variables as follow...
Boolean functions optimal with respect to different cryptographic properties (such as APN, AB, bent ...
We exhibit an infinite class of almost perfect nonlinear quadratic polynomials from $\mathbb{F}_{2^n...
International audienceAbstract In this work, we study functions that can be obtained by restricting ...
Modern cryptography is deeply founded on mathematical theory and vectorial Boolean functions play an...
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 degree 4e (e an odd num...
We give all the polynomials functions of degree 20 which are APN over an infinity of field extension...
In this paper we define a notion of partial APNness and find various characterizations and construct...
We investigate the differential properties of a vectorial Boolean function G obtained by modifying a...
In this work, we study functions that can be obtained by restricting a vectorial Boolean function \(...
In this work, we study functions that can be obtained by restricting a vectorial Boolean function \(...
C.~Carlet, P.~Charpin, V.~Zinoviev in 1998 defined the associated Boolean function $\gamma_F(a,b)$ i...
This article has been accepted in the proceedings of Finite Fields and their applications 11 proceed...
In this paper we define a notion of partial APNness and find various characterizations and construct...
For a function F : Fn Fn, it is defined the associated Boolean function yF in 2n variables as follow...
Boolean functions optimal with respect to different cryptographic properties (such as APN, AB, bent ...
We exhibit an infinite class of almost perfect nonlinear quadratic polynomials from $\mathbb{F}_{2^n...
International audienceAbstract In this work, we study functions that can be obtained by restricting ...
Modern cryptography is deeply founded on mathematical theory and vectorial Boolean functions play an...