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 …

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 …

Recently, algebraic attacks have received a lot of attention in the cryptographic literature. It
has been observed that a Boolean function f used as a cryptographic primitive, and …

For the first time Boolean functions on 9 variables having nonlinearity 241 are discovered,
that remained as an open question in literature for almost three decades. Such functions are …

Recently algebraic attack has received a lot of attention in cryptographic literature. It has
been observed that a Boolean function f, interpreted as a multivariate polynomial over GF …

Boolean functions are mathematical objects used in diverse domains and have been
actively researched for several decades already. One domain where Boolean functions play …

This article is devoted to Boolean and vectorial bent functions and their duals. Our ultimate
objective is to increase such functions' corpus by designing new ones covering many …

The design of Boolean functions with properties of cryptographic significance is a hard task.
In this paper, we adopt an unorthodox approach to the design of such functions. Our search …

We give a new lower bound to the covering radius of the first order Reed–Muller code RM
(1, n), where n∈{9, 11, 13}. Equivalently, we present the n-variable Boolean functions for …