2 papers
math.AG2023
Closed points on curves over finite fields
Yves Aubry, Fabien Herbaut, Julien Monaldi
We are interested in the quantity (q, g) defined as the smallest positive integer such that r (q, g) implies that any absolutely irreducible smooth projective algebraic…
math.NT2022
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…