Boolean functions are essential to systems for secure and reliable communication. This
comprehensive survey of Boolean functions for cryptography and coding covers the whole …

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 …

In Hadamard Matrices and Their Applications, KJ Horadam provides the first unified account
of cocyclic Hadamard matrices and their applications in signal and data processing. This …

A perfect nonlinear S-box is a substitution transformation with evenly distributed directional
derivatives. Since the method of differential cryptanalysis presented by E. Biham and A …

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 …

The subject of this thesis is the study of cryptographic hash functions. The importance of
hash functions for protecting the authenticity of information is demonstrated. Applications …

In the modern era of secure communication, it is important to create uncertainty in the
original data in order to avoid unauthorized entities to extract or manipulate information …

We show that some widely accepted criteria for cryptographic functions, including the strict
avalanche criterion (SAC) and the propagation criterion, have various limitations in …

Advances in the design of Boolean functions using heuristic techniques are reported. A
genetic algorithm capable of generating highly nonlinear balanced Boolean functions is …

We present an extensive study of symmetric Boolean functions, especially of their
cryptographic properties. Our main result establishes the link between the periodicity of the …