On Dillon's property of $(n,m)$-functions

Matteo Abbondati, Marco Calderini, Irene Villa

Dillon observed that an APN function $F$ over ${\mathbb{F}}_2^n$ with $n$ greater than $2$ must satisfy the condition $\{F(x) + F(y) + F(z) + F(x + y + z) \,:\, x,y,z \in\mathbb{F}…