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

We survey the properties of two parameters introduced by C. Ding and the author for
quantifying the balancedness of vectorial functions and of their derivatives. We give new …

We give a survey on the constructions of APN and differentially 4-uniform functions suitable
for designing S-boxes for block ciphers. We recall why the search for more of such functions …

In 2018, Pott et al. have studied in (IEEE Trans Inf Theory 64 (1): 403-411, 2018) the
maximum number of bent components of vectorial functions. They have presented many …

Recently, several interesting constructions of vectorial Boolean functions with the maximum
number of bent components (MNBC functions, for short) were proposed. However, many of …

It is known that CCZ-equivalence of (n, n)-functions is strictly more general than their EA-
equivalence (even when considering only APN functions), and that these two notions of …

We study further the method of concatenating the outputs of two functions for designing an
APN or a differentially 4-uniform (n, n)-function for every even n. We deduce several specific …

In this thesis, we investigate various classes of cryptographically significant func-tions,
including bent, plateaued and differentially uniform functions, as well as the incidence …

1. PN-функции Появление в открытой криптографии разностного метода (Differential
cryptanalysis [1]) вызвало необходимость разработки подходов к построению тех …

This paper is devoted to the constructions of bent vectorial functions, that is, maximally non-
linear multi-output Boolean functions. Such functions contribute to an optimal resistance to …