Bent Functions

Chapter 6

Equivalent Representations of Bent Functions

Abstract

Several attempts to find for bent functions a new combinatorial or algebraic equivalent representation are considered. As usual, such a new representation shows bent functions from another perspective and can be helpful in describing their properties or counting them. Connections of bent functions to Hadamard matrices, difference sets, block schemes, linear spreads, sets of subspaces in the Boolean cube, strongly regular graphs, and bent rectangles are considered.

Keywords

Hadamard matrix

Difference set

Block scheme

Linear spread

Subspace

Strongly regular graph

Bent rectangle

Introduction

Several attempts to find for bent functions a new combinatorial or algebraic equivalent ...