On the duals of generalized bent functions

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Web25 de mar. de 2024 · Abstract: In this paper, we study the duals of generalized bent functions Z , where is an -dimensional vector space over F and is an odd prime, is a positive integer. It is known that weakly regular generalized bent functions always … Web6 de jun. de 2024 · 06/06/21 - 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 ...

New Secondary Constructions of Generalized Bent Functions

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 … WebQuadratic 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. citizens bank daily transfer limit

On “bent” functions - ScienceDirect

WebScience China Mathematics - Several new results on non-existence of generalized bent functions are presented. The results are related to the class number of imaginary … Web1 de set. de 1985 · GENERALIZED BENT FUNCTIONS 99 Many of the constructions for bent functions over Jg provided in Section VI result in bent functions whose Fourier … WebAbstract: We exhibit a simple condition under which the sum (modulo 2) of characteristic functions of (n/2)-dimensional vector subspaces of (GF(2))/sup n/ (n even) is a Bent function. The "Fourier" transform of such a Bent function is the sum of the characteristic functions of the duals of these spaces. The class of Bent functions that we obtain … citizens bank dallas pa hours

On the Dual of Generalized Bent Functions† - arXiv

Generic Constructions of (Boolean and Vectorial) Bent Functions …

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 … 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 ... citizens bank cuyahoga falls ohioWebThree 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 ... dickensian free watch

"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. " - On the duals of generalized bent functions

On the duals of generalized bent functions

Duals of non-weakly regular bent functions are not weakly …

Web1 de out. de 2013 · We analyse a recently introduced construction of non-weakly regular bent functions and show conditions under which their dual is bent as well. This leads to … 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 ...

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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 … 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 …

Web9 de fev. de 2024 · Weakly normal bent functions, Bent duals, 4-bent decomposition 1. Introduction An important class of Boolean functions was introduced by Rothaus [20] in 1976, which are de ned in even number of variables having the maximum possible Hamming distance to the set of all a ne 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 ...

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 … 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 …

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 …

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 … citizens bank customer service number 1800WebBoolean 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 ... dickensian kevin \\u0026 family bundle citizens bank dartmouth maWeb6 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 … citizens bank cyber securityWeb22 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). dickensian houseWeb{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,4,7]],"date-time":"2024-04-07T04:44:00Z","timestamp ... citizens bank daniel webster highway nashuahttp://www.m-hikari.com/ija/ija-2024/ija-1-4-2024/p/sharmaIJA1-4-2024.pdf citizens bank debit card account