Bent functions are maximally nonlinear Boolean functions with an even number of variables. These combinatorial objects, with fascinating properties, ...

Jul 2, 2024 · In this paper, we solve an open problem of Mesnager that describes hyper-bentness of hyper-bent functions with multiple trace terms via Dillon-like exponents.

Hyper-bent functions have properties still stronger than bent functions. More precisely, they can be defined as follows: Definition 2. A Boolean function f : ...

In this paper, we contribute to the knowledge of the class of hyper-bent functions on finite fields F2n (where n is even) by studying a subclass Fn of the so- ...

Then we can define the bent functions. Definition A Boolean function f : F2n → F2 is called a bent function, if bχf (w) = ±2.

Jul 2, 2024 · Bent functions are maximally nonlinear Boolean functions with an even number of variables, which include a subclass of functions, the so-called ...

Welcome to the resource topic for 2011/600 Title: A New Class of Hyper-bent Boolean Functions with Multiple Trace Terms Authors: Chunming Tang, Yanfeng Qi ...

~In this paper,~we solve an open problem of Mesnager that describes hyper-bentness of hyper-bent functions with multiple trace terms via Dillon-like exponents ...

Much research give the precise characterization of hyper-bent functions in cer- tain forms, such as hyper-bent functions with Dillon exponents and hyper-bent.

Bent functions are maximally nonlinear Boolean functions with an even number of variables. These combinatorial objects, with fascinating properties,