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 …

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 …

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 …

Recent research shows that the class of Rotation Symmetric Boolean Functions (RSBFs), ie,
the class of Boolean functions that are invariant under circular translation of indices, is …

Integration of industrial Internet of Things (IIoT) into critical infrastructures (CIs) is aiming to
improve efficiency in many crucial areas. The positive benefits of IIoT are increasing the …

We first give a survey of the known secondary constructions of Boolean functions, permitting
to obtain resilient functions achieving the best possible trade-offs between resiliency order …

Many desirable properties have been identified for Boolean functions with cryptographic
applications. Obtaining optimal tradeoffs among such properties is hard. In this paper we …

Recently, weight divisibility results on resilient and correlation immune Boolean functions
have received a lot of attention. These results have direct consequences towards the upper …

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 …