Substitution boxes (S-boxes) are important components in many modern-day symmetric key
ciphers. Their study has attracted a great deal of attention over many years. The emergence …

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 …

Boolean functions represent an important primitive in the design of various cryptographic
algorithms. There exist several well-known schemes where a Boolean function is used to …

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

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

Nonlinear substitutions or S-boxes are important cryptographic primitives of modern
symmetric ciphers. They are designed to complicate the plaintext-ciphertext dependency …

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 …

Criteria based on the analysis of the properties of vectorial Boolean functions for selection of
substitutions (S-boxes) for symmetric cryptographic primitives are given. We propose an …

The role of Boolean functions is prominent in several areas including cryptography,
sequences, and coding theory. Therefore, various methods for the construction of Boolean …

Boolean functions are used as nonlinear filter functions and combiner functions in several
stream ciphers. The security of these stream ciphers largely depends upon cryptographic …