A new large class of functions not APN infinitely often
We show that there is no vectorial Boolean function of degree \(4e\), with some conditions on \(e\), 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.
vectorial boolean functions almost perfect non-linear functions algebraic surface ccz equivalence 11c08 11t06 11t71