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 …

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 …

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 …

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 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 …

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 …

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) …

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 …

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 …

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 …