On the duals of generalized bent functions

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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 … 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 ...

Jiaxin Wang, Fang-Wei Fu

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 … Web{"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 ... how many episodes are in the undoing

Classification of self dual quadratic bent functions

Web1 de jan. de 2024 · Meidl W A secondary construction of bent functions, octal gbent functions and their duals Math. Comput. Simul. 2024 143 57 64 3698215 10.1016/j.matcom.2016.02.003 Google Scholar Digital Library; 10. Meidl W Pott A Generalized bent functions into Z p k from the partial spread and the Maiorana … 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 … 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 … high valley dermatology idaho falls fax

A secondary construction of bent functions, octal gbent functions …

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 … WebTo design new bent functions is an eternal theme for researchers. There are direct and indirect ways for construction of bent functions. The former is also called primary … high valley design incWebWe 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 … how many episodes are in tpn season 1

"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 … " - On the duals of generalized bent functions

On the duals of generalized bent functions

$arXiv:2107.13538v1 [math.CO] 28 Jul 2024$

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 … 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 …

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Web6 de jun. de 2024 · This leads to the definition of the class of dual-bent functions containing the class of weakly regular bent functions as a proper subclass. We analyse self … 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 ...

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 ... 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 …

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 ... Web15 de mar. de 2024 · By generalizing the construction of Çeşmelioğlu et al. , 2016, we provide an explicit construction of generalized bent functions whose duals can be …

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 …

Web5 de nov. de 2024 · Recall that G k precisely contains the duals of the bent functions in F k (and vice versa). Note that for two divisors k 2 > k 1 of m with gcd( p m − 1 , p k i + p − 1) = 1, how many episodes are in true beautyWeb9 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. how many episodes are in the wireWeb25 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 … high valley farm castle rockWebQuadratic 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. how many episodes are in the boys season 2Webpointed in [28]. The complete characterization of generalized bent functions from diﬀerent perspectives was recently presented in [13,35,25]. A comprehensivesurvey on existing generalizations of bent functions can be found in [36]. For every bent Boolean function its dual bent functions is uniquely deﬁned. It is important to note that the ... high valley ddaWeb6 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 … how many episodes are in transformers g1Web14 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 … high valley do this life