Boolean Functions and Their Applications in Cryptography

• Main Authors: Wu, Chuan-Kun (Author), Feng, Dengguo (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2016.
• Series: Advances in Computer Science and Technology, In cooperation with the China Computer Federation (CCF),
• Subjects: Computer science.; Computer security.; Data structures (Computer science).; Computer science > Mathematics.; Computer Science.; Data Structures, Cryptology and Information Theory.; Systems and Data Security.; Mathematics of Computing.

This book focuses on the different representations and cryptographic properties of Booleans functions, presents constructions of Boolean functions with some good cryptographic properties. More specifically, Walsh spectrum description of the traditional cryptographic properties of Boolean functions,...

Table of Contents:

• 1. Boolean Functions and Their Walsh Transforms
• 2. Independence of Boolean Functions of Their Variables
• 3. Nonlinearity and Linear Structures of Boolean Functions
• 4. Correlation Immunity of Boolean Functions
• 5. Algebraic Immunity of Boolean Functions
• 6. The Symmetric Property of Boolean Functions
• 7.Boolean Function Representation of S-boxes and Boolean Permutations
• 8. Cryptographic Applications of Boolean Functions.