polynomials are pairwise different up to CCZ-equivalence. We reduce the list of these
families to those CCZ-inequivalent to each other. In particular, we prove that the families of
APN trinomials (constructed by Budaghyan and Carlet in 2008) and multinomials
(constructed by Bracken et al. 2008) are contained in the APN hexanomial family introduced
by Budaghyan and Carlet in 2008. We also prove that a generalization of these trinomial …