… Boolean functions against linear or affine approximation attack, and this property can be
extended to include the algebraic degree, linear structures, and propagation … a Boolean function …

… by propagating error probabilities within a network of circuits, each circuit being described by
an approximated Boolean function. We … the implicants of a given Boolean function f, thereby …

… , satisfy the propagation criterion. We show that a set of Boolean functions with such property
… In addition, we study the question of belonging a set of Boolean functions with this property …

… the propagation … the propagation criterion of Boolean functions from well-known cryptographic
classes, such as plateaued functions, Maiorana-McFarland functions, quadratic functions, …

… In addition to SAC we study the Propagation Criterion (PC for short) which was introduced
by Preneel et al. [9]. The mathematical expression for avalanche and SAC is defined as follows…

… Boolean functions can easily provide both confusion and … Boolean functions for this purpose.
The book is designed to serve as a reference for various applications of Boolean functions …

… of the Boolean functions with the maximal algebraic immunity; genetic algorithms for construction
of the Boolean functions … that the function f satisfies the propagation characteristic m, if …

… We investigate here several types of properties testing for Boolean functions (identity, … namely
whether a given Boolean function f, of n variables, is identical with a given function g or is ε-…

… derivatives of Boolean functions and describes the behavior of a function whenever some
input bits are complemented. F ∈ Fn,m is said to satisfy the propagation characteristics with …

… functions more closely. We start with an efficient way of determining the Algebraic Normal
Form of a Boolean function, … balanced function with “reasonable” propagation characteristics is …