On the duals of generalized bent functions

Author: omaj

August undefined, 2024

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 … WebBesides that, the explicit duals of all bent functions constructed by this work are also ob-tained, which not only enables us to give explicitly the duals of bent functions in Corollary 2 of [11], but also makes it possible for us to construct some self‐dual bent functions. Moreover, we are also able prove that our bent functions can be EA‐

Generalized bent functions and their properties - ScienceDirect

Web1 de jan. de 2024 · We observe that every octal gbent function in even dimension is essentially equivalent to a bent function obtained with Carlets secondary construction of bent functions from three bent functions with certain properties. We use this strong connection to ... WebDuals of non-weakly regular bent functions are not weakly regular and generalization to plateaued functions. Author links open overlay panel Ferruh Özbudak a, Rumi Melih Pelen b. ... In 2013, Çesmelioğlu, Meidl and Pott pointed out that the existence of a non-weakly regular bent function having weakly regular bent dual is an open problem. grafting apple tree branches

Generic Constructions of (Boolean and Vectorial) Bent Functions …

Web6 de jun. de 2024 · On the Dual of Generalized Bent Functions. In this paper, we study the dual of generalized bent functions where is an -dimensional vector space over and is … 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 … Web7 de jun. de 2024 · Abstract. In this paper, we study the dual of generalized bent functions f: V n → Z p k where V n is an n -dimensional vector space over F p and p is an odd … china chef on peoria and mississippi

On the Dual of Generalized Bent Functions

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 ... 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 ... grafting apple to pear treeWeb22 de mar. de 2024 · In Sect. 4, we consider the design of bent functions by selecting 5-valued spectra functions in the generalized Maiorana-McFarland class. ... Several new infinite families of bent functions and their duals. IEEE Trans. Inf. Theory 60(7), 4397–4407 (2014). china chef on wayne rd

"Web4 de jan. de 2024 · This article is devoted to Boolean and vectorial bent functions and their duals. Our ultimate objective is to increase such functions’ corpus by designing new ones covering many previous bent functions’ constructions. To this end, we provide several new infinite families of bent functions, including idempotent bent functions of any algebraic … " - On the duals of generalized bent functions

On the duals of generalized bent functions

Web4 de jan. de 2024 · This article is devoted to Boolean and vectorial bent functions and their duals. Our ultimate objective is to increase such functions’ corpus by designing new … Web6 de jun. de 2024 · On the Dual of Generalized Bent Functions. 06/06/2024. by Jiaxin Wang, et al. 0. share. In this paper, we study the dual of generalized bent functions …

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Web1 de jul. de 2024 · It 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 … 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 …

WebDuals of non-weakly regular bent functions are not weakly regular and generalization to plateaued functions. Author links open overlay panel Ferruh Özbudak a, Rumi Melih … Web29 de jul. de 2011 · We classify all self dual and anti self dual quadratic bent functions in 2 n variables under the action of the orthogonal group { {O} (2n,\mathbb F_2)} . This is …

Web2 I. INTRODUCTION Throughout this paper, let pbe an odd prime, Z pk be the ring of integers modulo pk, Fn be the vector space of the n-tuples over F p, F pn be the ﬁnite ﬁeld with pn elements and V n be an n-dimensional vector space over F p where k;nare positive integers. Boolean bent functions introduced by Rothaus [14] play an important role in … WebThis enables us to completely characterize generalized bent functions and $\mathbb Z_{p^{k}}$ -bent functions by some affine space associated with the generalized bent …

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 ...

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 … china chef on springhill aveWebScience China Mathematics - Several new results on non-existence of generalized bent functions are presented. The results are related to the class number of imaginary … grafting apple trees onto oaksWeb6 de jun. de 2024 · On the Dual of Generalized Bent Functions. In this paper, we study the dual of generalized bent functions where is an -dimensional vector space over and is an odd prime, is a positive integer. It is known that weakly regular generalized bent functions always appear in pairs since the dual of a weakly regular generalized bent function is … china chef overland parkWeb2 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 … china chef opening timesWebRecently, Li et al. presented a generic construction of bent functions in [IEEE Trans. Inf. Theory, vol. 68, no. 4, pp. 2735-2751, 2024]. In this paper, we give a characterization for their ... grafting a relationship with 3 termsWeb14 de jun. de 2015 · For a special class of generalized Boolean bent functions with even number of variables constructed from a class of quadratic binary bent functions in … grafting apple trees instructionsWebQuadratic bent functions and their duals. 14 June 2024. Kanat Abdukhalikov, Rongquan Feng & Duy Ho. A survey on p-ary and generalized bent functions. 01 April 2024. ... Feng, K. Q., Generalized bent functions and class number of imaginary quadratic fields, Science in China, Ser. A, 2001, 44(5): 562–570. china chef pleasant hill