9 citations · 19 across the 13 of their papers we have counts for
20 papers
Polynomials with maximal differential uniformity and the exceptional APN conjecture
Yves Aubry, Fabien Herbaut, Ali Issa
We contribute to the exceptional APN conjecture by showing that no polynomial of degree m = 2 r (2 {\ell} + 1) where gcd(r, {\ell}) 2, r 2, {\ell} 1 with a nonzero second leading c…
Bounds on the minimum distance of algebraic geometry codes defined over some families of surfaces
Yves Aubry, Elena Berardini, Fabien Herbaut +1
We prove lower bounds for the minimum distance of algebraic geometry codes over surfaces whose canonical divisor is either nef or anti-strictly nef and over surfaces without irredu…
Algebraic geometry codes over abelian surfaces containing no absolutely irreducible curves of low genus
Yves Aubry, Elena Berardini, Fabien Herbaut +1
We provide a theoretical study of Algebraic Geometry codes constructed from abelian surfaces defined over finite fields. We give a general bound on their minimum distance and we in…
Maximal differential uniformity polynomials
Yves Aubry, Fabien Herbaut, Jose Felipe Voloch
We provide an explicit infinite family of integers such that all the polynomials of of degree have maximal differential uniformity for large enou…
Hypersurfaces in weighted projective spaces over finite fields with applications to coding theory
Yves Aubry, Wouter Castryck, Sudhir R. Ghorpade +3
We consider the question of determining the maximum number of -rational points that can lie on a hypersurface of a given degree in a weighted projective space over th…
Differential uniformity and second order derivatives for generic polynomials
Yves Aubry, Fabien Herbaut
For any polynomial of we introduce the following characteristic of the distribution of its second order derivative,which extends the differential unifor…