6 papers
Arithmetic, Geometry, and Coding Theory: Homage to Gilles Lachaud
Sudhir R. Ghorpade, Christophe Ritzenthaler, François Rodier +1
We give an overview of several of the mathematical works of Gilles Lachaud and provide a historical context. This is interspersed with some personal anecdotes highlighting many fac…
Non-linearity of the Carlet-Feng function, and repartition of Gauss sums
François Rodier
The search for Boolean functions that can withstand the main crypyographic attacks is essential. In 2008, Carlet and Feng studied a class of functions which have optimal cryptograp…
A few more functions that are not APN infinitely often
Yves Aubry, Gary Mcguire, François Rodier
We consider exceptional APN functions on , which by definition are functions that are not APN on infinitely many extensions of . Our main result is th…
Differentially 4-uniform functions
Yves Aubry, François Rodier
We give a geometric characterization of vectorial boolean functions with differential uniformity less or equal to 4.
Non linéarité des fonctions booléennes données par des traces de polynômes de degré binaire 3
François Rodier, Eric Férard
Nous étudions la non linéarité des fonctions définies sur F_{2^m} où est un entier impair, associées aux polynômes de degré 7 ou à des polynômes plus généraux. ----- We study t…
Nonlinarity of Boolean functions and hyperelliptic curves
Eric Férard, François Rodier
We study the nonlinearity of functions defined on a finite field with 2^m elements which are the trace of a polynomial of degree 7 or more general polynomials. We show that for m o…