Functions of degree 4e that are not APN infinitely often

François Rodier (1)

1 I2M - Institut de Mathématiques de Marseille

We prove a necessary condition for some polynomials of degree 4e (e an odd number) to be APN over F q n for large n, and we investigate the polynomials f of degree 12.

Mots clés: vector Boolean functions; almost perfect nonlinear func-tions; algebraic surface; CCZ equivalence

Domaines: Théorie des nombres [math.NT]

François Rodier. Functions of degree 4e that are not APN infinitely often. Cryptography and Communications - Discrete Structures, Boolean Functions and Sequences , 2011, 3, pp.227-240. ⟨10.1007/s12095-011-0050-6⟩. ⟨hal-01264167⟩