A new large class of functions not APN infinitely often

Florian Caullery (1)

1 IML - Institut Mathématiques de Luminy

In this paper, we show that there is no vectorial Boolean function of degree 4e, with e satisfaying certain conditions, which is APN over infinitely many extensions of its field of definition. It is a new step in the proof of the conjecture of Aubry, McGuire and Rodier

Mots clés: Vectorial Boolean function; Almost Perfect Non-linear functions; Algebraic surface; CCZ equivalence; APN

Domaines: Théorie de l'information et codage [math.IT]; Théorie de l'information [cs.IT]

Florian Caullery. A new large class of functions not APN infinitely often. 2013. ⟨hal-00867472⟩