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…