On the duals of generalized bent functions
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 … WebRecently, 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 ...
On the duals of generalized bent functions
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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 … 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 …
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. 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 ...
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 … 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 …
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,
Web14 de jun. de 2024 · New nonexistence results on (m, n)-generalized bent functions. 02 January 2024. Ka Hin Leung & Qi Wang. Vectorial bent functions and partial difference … small tractors for sale irelandWeb1 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 … hiichiikok foundationWeb29 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 … small tractors on ebayWebpointed 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 ... hiicap rochester nyWebTo 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 … hiics hitphamsWebThis enables us to completely characterize generalized bent functions and $\mathbb Z_{p^{k}}$ -bent functions by some affine space associated with the generalized bent … hiiccehttp://www.m-hikari.com/ija/ija-2024/ija-1-4-2024/p/sharmaIJA1-4-2024.pdf hiiccee