In this work, we employ the concept of composite representation of Boolean functions, which
represents an arbitrary Boolean function as a composition of one Boolean function and one …

In early nineties Carlet (1994) introduced two new classes of bent functions, both derived
from the Maiorana–McFarland (M) class, and named them C and D class, respectively. Apart …

Boolean bent functions which at the same time have a flat nega-Hadamard transform are
called bent-negabent functions. The known families of these functions mostly stem from the …

In the mid 1960s, Rothaus proposed the so-called “most general form” of constructing new
bent functions by using three (initial) bent functions whose sum is again bent. In this paper …

In this paper, we give an efficient method for constructing a large set of disjoint spectra
functions without linear structures, which are not equivalent to partially linear functions. This …

In this paper, we first present a novel secondary construction of bent functions (building new
bent functions from two already defined ones). Furthermore, the algebraic degree and …

In this paper, we present three secondary methods for constructing bent–negabent functions
under the frameworks of the indirect sum construction (proposed by Carlet in 2004), the …

Two new classes of bent functions derived from the Maiorana–McFarland (M) class, so-
called C and D, were introduced by Carlet (1994) two decades ago. The difficulty of …

In this paper we investigate different questions related to bent–negabent functions. We first
take an expository look at the state-of-the-art research in this domain and point out some …

The problem of designing explicit bent and plateaued functions has been researched for
several decades. However, finding new bent functions outside the well-known completed …