Some more functions that are not APN infinitely often. The case of Gold and Kasami exponents

Eric Férard (1) , Roger Oyono (2) , François Rodier (3)

1 GAATI - Laboratoire de Géométrie Algébrique et Applications à la Théorie de l'Information
2 UPF - Université de la Polynésie Française
3 I2M - Institut de Mathématiques de Marseille

We prove a necessary condition for some polynomials of Gold and Kasami degree to be APN over F q n for large n.

Domaines: Théorie des nombres [math.NT]

Eric Férard, Roger Oyono, François Rodier. Some more functions that are not APN infinitely often. The case of Gold and Kasami exponents. Contemporary mathematics, 2012, Contemporary Math, 574, pp.27-36. ⟨10.1090/conm/574/11423⟩. ⟨hal-01264150⟩