A fundamental objective of cryptography is to enable two persons to communicate over an
insecure channel (a public channel such as the internet) in such a way that any other person …

Cryptographic Boolean Functions and Applications, Second Edition is designed to be a
comprehensive reference for the use of Boolean functions in modern cryptography. While …

The book introduces new techniques that imply rigorous lower bounds on the com plexity of
some number-theoretic and cryptographic problems. It also establishes certain attractive …

In this note we prove a new bound on correlation immunity of unbalanced Boolean
functions. This bound was conjectured by Yu. Tarannikov. Let Ω={1,..., n}. The powerset H …

This book offers a systematic presentation of cryptographic and code-theoretic aspects of the
theory of Boolean functions. Both classical and recent results are thoroughly presented …

This paper presents an efficient approach to the classification of the affine equivalence
classes of cosets of the first order Reed-Muller code with respect to cryptographic properties …

Boolean functions are an important area of study for cryptography. These functions,
consisting merely of one's and zero's, are the heart of numerous cryptographic systems and …

In this paper we develop a technique that allows to obtain new effective constructions of
highly resilient Boolean functions with high nonlinearity. In particular, we prove that the …

In this paper we study the autocorrelation values of correlation immune and resilient
Boolean functions. We provide new lower bounds and related results on absolute indicator …

In this paper, we introduce a new notion called the dual function for studying Boolean
functions. First, we discuss general properties of the dual function that are related to …