Web4 de jan. de 2024 · [16,17]. Bent functions always occur in pairs and their duals are also bent. Bent functions have two subclasses; self dual bent functions and anti-self dual bent functions, see [3]. Some new constructions of bent functions are recently introduced by Mes-nager [12]. We here present some new constructions of bent functions. Any … Web30 de abr. de 2024 · Bent functions with certain additional properties yield partial difference sets of which the Cayley ... Vectorial bent functions and their duals, Linear Algebra and …

Generalized partial spreads - IEEE Journals & Magazine

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 … install program action speak khmer

On the Dual of Generalized Bent Functions - ResearchGate

WebExtensions/Duals 3. Topological details: families of seminorms 4. Examples of continuous linear functionals (distributions) 5. Colimit topology on D(Rn) 6. Distributions supported at 0 7. Weak dual topologies (weak -topologies) 8. Di erentiation of generalized functions (distributions) 9. Multiplication of generalized functions by smooth ... WebBoolean bent functions introduced by Rothaus [35] play an important role in cryptography, coding theory, sequences and combinatorics. In 1985, Kumar et al. [16] generalized Boolean bent functions to bent functions over finite fields of odd characteristic. Due to the importance of bent functions, they have been studied extensively. There is an ... WebQuadratic AB (almost bent) functions are characterized by the property that the du-als of their component functions are bent functions. We prove that these duals are also quadratic and illustrate that these bent duals may give rise to vectorial bent functions (in certain cases having a maximal output dimension). It is then natural to ... jim lowell investing