3 papers
math.NT2012
On a conjecture of Helleseth
Yves Aubry, Philippe Langevin
We are concern about a conjecture proposed in the middle of the seventies by Hellesseth in the framework of maximal sequences and theirs cross-correlations. The conjecture claims t…
math.AG2009
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…
math.AG2009
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.