Bent Functions

Bent Functions : Results and Applications to Cryptography

By (author) 

List price: US$74.96

Currently unavailable

We can notify you when this item is back in stock

Add to wishlist

AbeBooks may have this title (opens in new window).

Try AbeBooks

Description

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.




Provides a detailed survey of bent functions and their main results, presenting a systematic overview of their generalizations and applicationsPresents a systematic and detailed survey of hundreds of results in the area of highly nonlinear Boolean functions in cryptographyAppropriate coverage for students from advanced specialists in cryptography, mathematics, and creators of ciphers
show more

Product details

  • Electronic book text | 220 pages
  • 152 x 229mm
  • Academic Press Inc
  • Oxford, United Kingdom
  • English
  • 0128025557
  • 9780128025550

Table of contents

Preface
Notation
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
Bibliography
Index
show more