TY  - BOOK
AU  - Tokareva,Natalia
TI  - Bent functions: results and applications to cryptography
SN  - 9780128023181
U1  - 511.324 
PY  - 2015///
CY  - Amsterdam
PB  - Elsevier
KW  - Mathematics - Combinatorics
N1  - Table of Contents:

Chapter 1: Boolean Functions 

Chapter 2: Bent Functions: An Introduction 

Chapter 3: History of Bent Functions 

Chapter 4: Applications of Bent Functions 

Chapter 5: Properties of Bent Functions 

Chapter 6: Equivalent Representations of Bent Functions 

Chapter 7: Bent Functions with a Small Number of Variables 

Chapter 8: Combinatorial Constructions of Bent Functions 

Chapter 9: Algebraic Constructions of Bent Functions 

Chapter 10: Bent Functions and Other Cryptographic Properties
 
Chapter 11: Distances Between Bent Functions 

Chapter 12: Automorphisms of the Set of Bent Functions
 
Chapter 13: Bounds on the Number of Bent Functions 

Chapter 14: Bent Decomposition Problem 

Chapter 15: Algebraic Generalizations of Bent Functions 

Chapter 16: Combinatorial Generalizations of Bent Functions 

Chapter 17: Cryptographic Generalizations of Bent Functions
 
References
Index



N2  - Bent Functions: Results and Applications to Cryptography offers a unique survey of the objects of discrete mathematics known as Boolean bent functions. As these maximal, nonlinear Boolean functions and their generalizations have many theoretical and practical applications in combinatorics, coding theory, and cryptography, the text provides a detailed survey of their main results, presenting a systematic overview of their generalizations and applications, and considering open problems in classification and systematization of bent functions.

The text is appropriate for novices and advanced researchers, discussing proofs of several results, including the automorphism group of bent functions, the lower bound for the number of bent functions, and more.

(http://store.elsevier.com/Bent-Functions/Natalia-Tokareva/isbn-9780128023181/)
ER  -