Web1 de jun. de 2024 · Duals of non-weakly regular bent functions are not weakly regular and generalization to plateaued functions. Author links open overlay panel Ferruh Özbudak … Webbent function, [4, 12]. Obviously bent functions only exist if nis even, and then W f(u) = 2n=2( 1)f (x) for a Boolean function f(x), called the dual of f. As is well known, the dual f is also a bent function. For an integer qlet Z q be the ring of integers modulo q. For a generalized Boolean function ffrom V n to Z 2k, k 1, the generalized ...

On the Dual of Generalized Bent Functions - ResearchGate

WebIt is known that weakly regular generalized bent functions always appear in pairs since the dual of a weakly regular generalized bent function is also a weakly regular generalized … Web1 de jun. de 2024 · The class of dual-bent functions containing the class of weakly regular bent functions as a proper subclass is defined, and self-duality for bent functions in … flutter with python

Quadratic bent functions and their duals SpringerLink

Web2 I. INTRODUCTION Throughout this paper, let p be an odd prime, Zpk be the ring of integers modulo pk, Fn p be the vector space of the n-tuples over Fp, Fpn be the finite field with pn elements and Vn be an n-dimensional vector space over Fp where k,n are positive integers. Boolean bent functions introduced by Rothaus [14] play an important … WebThree new secondary constructions of generalized bent functions are presented. We provide a secondary construction of generalized bent functions from indirect sum methods proposed by Carlet et al. A ... WebWe introduce and study dual functions of generalized Boolean bent functions over ℤ 4, i.e., functions from F 2-vector spaces to ℤ 4 whose Fourier transforms have constant … flutter without null safety