# Boolean Functions

# Boolean Functions and Their Applications in Cryptography

# Analysis of Boolean Functions

# Boolean Functions Cryptography and Applications

*En mars 2006 s'est tenu à Rouen BFCA'06, le second atelier sur le thème des Fonctions Booléennes. Pendant trois jours, de nombreux chercheurs internationaux s'y sont rencontrés et y ont parlé de leurs travaux.*

**Author**: Jean-Francis Michon

**Publisher:** Publication Univ Rouen Havre

**ISBN:** 9782877754224

**Page:** 201

**View:** 685

# Boolean Functions

*This book: Presents up-to-date research in the field of Boolean networks, Includes the information needed to understand the construction of an asynchronous Boolean systems theory and contains proofs, Employs use of the language of algebraic ...*

**Author**: Serban E. Vlad

**Publisher:** John Wiley & Sons

**ISBN:** 1119517516

**Page:** 208

**View:** 768

# Cryptographic Boolean Functions and Applications

# Boolean Functions in Cryptology and Information Security

*Here we briefly survey the state of the art nonlinearity results for Boolean
functions on odd number of input variables having very high nonlinearity. We
outline some results on even variable Boolean functions too. Keywords. Boolean
function ...*

**Author**: Bart Preneel

**Publisher:** IOS Press

**ISBN:** 1586038788

**Page:** 355

**View:** 555

# Boolean Functions and Computation Models

*There is one function of type ( 1 ) , 2 ( 22 * - ? – 1 ) functions of type ( 2 ) and 22 "
– 2 ( 22 " -- - 1 ) - 1 functions of type ( 3 ) . We compose a universal circuit for n -
ary *

**boolean functions**by using the circuit implied by the identity f = ( - n ^ fo ) V ( In ...

**Author**: Peter Clote

**Publisher:** Springer Science & Business Media

**ISBN:** 9783540594369

**Page:** 602

**View:** 346

# Progress in Applications of Boolean Functions

*Leander,“Crytographer'stoolkitforconstructionof8-bitbentfunctions,” preprint: http://
eprint.iacr.org/2005/089.pdf 2.7 [4] R. Forré, “The strict avalanche criterion:
Spectral properties of *

**Boolean functions**and an extended definition,” Advances in ...

**Author**: Tsutomu Sasao

**Publisher:** Morgan & Claypool Publishers

**ISBN:** 160845181X

**Page:** 139

**View:** 872

# Boolean Functions in Coding Theory and Cryptography

*The notion of nonlinearity for Boolean functions, which was introduced in §2.2, is
basic for cryptography. In this chapter we will describe this notion by using
examples of well-known classes of Boolean functions having extremal (or close
to ...*

**Author**: Oleg A. Logachev

**Publisher:** American Mathematical Soc.

**ISBN:** 0821846809

**Page:** 334

**View:** 417

# Timed Boolean Functions

# Noise Sensitivity of Boolean Functions and Percolation

*In a nutshell, the authors showed that (1) if a monotone function is very
uncorrelated with all majority functions, then it is ... 8.2 The revealment theorem
An algorithm for a *

**Boolean function**f is an algorithm A that queries (asks the values of) the ...

**Author**: Christophe Garban

**Publisher:** Cambridge University Press

**ISBN:** 1107076439

**Page:** 222

**View:** 238

# The Complexity of Boolean Functions

# BFCA 05

# Application of Consensus Theory to the Minimization of Boolean Functions

# Boolean Functions for Cryptography and Coding Theory

# Boolean Function Complexity

*Introduction In recent years several methods have been developed for obtaining
superpolynomial lower bounds on the monotone formula and circuit size of
explicitly given *

**Boolean functions**. Among these are the method of approximations [3, ...

**Author**: Mike S. Paterson

**Publisher:** Cambridge University Press

**ISBN:** 9780521408264

**Page:** 201

**View:** 244

# Boolean Function Complexity

*Some of the results are asymptotic, and we use the standard asymptotic notation:
for two functions f and g, we write f D O.g/ if f Ä c1g C c2 for all possible values of
the two functions, where c1 ;c2 are constants. We write f D ̋.g/ if g D O.f/, and f ...*

**Author**: Stasys Jukna

**Publisher:** Springer Science & Business Media

**ISBN:** 3642245080

**Page:** 620

**View:** 794