Vectorial Boolean Functions

Introduction

Vectorial Boolean functions are functions from the vectorspace $\mathbb {F} _{2}^{n}$, of all binary vectors of length $n$, to the vectorspace $\mathbb {F} _{2}^{m}$, for some positive integers $n$ and $m$, where $\mathbb {F} _{2}$ is the finite field with two elements.