Vectorial Boolean Functions

Introduction

Vectorial Boolean functions are functions from the vectorspace [math]\displaystyle{ \mathbb{F}_2^n }[/math], of all binary vectors of length [math]\displaystyle{ n }[/math], to the vectorspace [math]\displaystyle{ \mathbb{F}_2^m }[/math], for some positive integers [math]\displaystyle{ n }[/math] and [math]\displaystyle{ m }[/math], where [math]\displaystyle{ \mathbb{F}_2 }[/math] is the finite field with two elements.