Bent Functions

Chapter 10

Bent Functions and Other Cryptographic Properties

Abstract

Since Boolean functions play a key role for constructing components of symmetric ciphers, their cryptographic properties are of great interest. In this chapter, we discuss the possibilities to combine “bentness” with other special characteristics of a Boolean function (high correlation immunity; resiliency; balancedness; high algebraic immunity, etc.).

Keywords

Cryptography

Balanced function

Correlation-immune function

Algebraic-immune function

Resilient function

Vectorial bent function

AB function

APN function

Introduction

Since Boolean functions play a key role for constructing components of symmetric ciphers, their cryptographic properties are of great interest. In this ...