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## Constructions of (vectorial) bent functions outside the completed Maiorana–McFarland class

Two new classes of bent functions derived from the Maiorana–McFarland ($\\mathcal{M}$) class, so-called $\\mathcal{C}$ and $\\mathcal{D}$, were introduced by Carlet (1993) almost three decades ago. In Zhang (2020) sufficient conditions for specifying …

## Constructing new superclasses of bent functions from known ones

Some recent research articles (Zhang et al. in Lecture Notes in Computer Science, 10194, 298-313. (2017), Zhang et al. in Discret. Appl. Math. 285(1), 458-472. (2020)) addressed an explicit specification of indicators that specify bent functions in …

## Two secondary constructions of bent functions without initial conditions

In this article, we propose two secondary constructions of bent functions without any conditions on initial bent functions employed by these methods. It is shown that both methods generate bent functions that belong to the generalized …

## Three classes of balanced vectorial semi-bent functions

Semi-bent functions play an important role in symmetric ciphers and sequence designs. So far, there are few studies related to the construction of vectorial semi-bent functions even though lots of work has been done on single-output semi-bent …

## Integral Distinguishers of the Full-Round Lightweight Block Cipher SAT_Jo

Integral cryptanalysis based on division property is a powerful cryptanalytic method whose range of successful applications was recently extended through the use of Mixed-Integer Linear Programming (MILP). Although this technique was demonstrated to …

## Permutations without linear structures inducing bent functions outside the completed Maiorana-McFarland class

Recently, the construction of bent functions that belong to the so-called $\\mathcal{C}$ class and are provably outside the completed Maiorana-McFarland ($\\mathcal{M}$) class, introduced by Carlet almost three decades ago, has been addressed in …

## A new method for secondary constructions of vectorial bent functions

In 2017, Tang et al. have introduced a generic construction for bent functions of the form $f(x)=g(x)+h(x)$, where $g$ is a bent function satisfying some conditions and $h$ is a Boolean function. Recently, Zheng et al. (Discret Math 344:112473, 2021) …

## Constructions of balanced Boolean functions on even number of variables with maximum absolute value in autocorrelation spectra $<2^{{n/2}^{\star}}$

The autocorrelation properties of Boolean functions are closely related to the Shannon’s concept of diffusion and can be accompanied with other cryptographic criteria (such as high nonlinearity and algebraic degree) for ensuring an overall robustness …

## Infinite classes of generalised complete permutations

In Pasalic et al. (2016) a construction allowing for high levels of modification was presented. It can be used to construct several important combinatorial structures, among them are examples of complete permutations. Here the method is used to …

## Vectorial bent functions weakly/strongly outside the completed Maiorana–McFarland class

Two new classes of bent functions derived from the Maiorana–McFarland ($\\mathcal{M}$) class, so-called $\\mathcal{C}$ and $\\mathcal{D}$, were introduced by Carlet (1994) two decades ago. The difficulty of satisfying their defining conditions was …