Quadratic bent functions and their duals

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August undefined, 2024

WebIt is known that the dual of a weakly regular bent function is again weakly regular. On the other hand, the dual of a non-weakly regular bent function may not even be a bent function. 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. WebDec 15, 2024 · Quadratic almost bent (AB) functions are characterized by the property that the duals 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).

[1508.05673] Constructing bent functions and bent idempotents …

WebDec 15, 2024 · Quadratic almost bent (AB) functions are characterized by the property that the duals 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). division 2 shock enemies

Quadratic almost bent functions—Their partial characterization an…

WebJul 1, 2024 · A bent function ffor which f⁎is also bent is called a dual-bentfunction, otherwise the bent function is called non-dual bent. Naturally, the weakly regular bent … WebApr 27, 2024 · Quadratic AB (almost bent) functions are characterized by the property that the duals 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). WebAug 23, 2015 · Bent functions as optimal combinatorial objects are difficult to characterize and construct. In the literature, bent idempotents are a special class of bent functions and few constructions have been presented, which are restricted by the degree of finite fields and have algebraic degree no more than 4. division 2 skill build pros cons

Kanat ABDUKHALIKOV Professor Research profile

WebWe use the notion of covering sequence, introduced by C Carlet and Y Tarannikov, to give a simple characterization of bent functions We extend it into a characterization of plateaued functions (that is bent and three-valued functions) After recalling why the class of plateaued functions provides good candidates to be used in cryptosystems, we study the known … WebSep 19, 2024 · Abstract: Bent-negabent functions have many important properties for their application in cryptography since they have the flat absolute spectrum under the both … division 2 shock ammoWebAbstract Quadratic almost bent (AB) functions are characterized by the property that the duals of their component functions are bent functions. We prove that these duals are … division 2 skill health

"WebJul 1, 2024 · A bent function ffor which f⁎is also bent is called a dual-bentfunction, otherwise the bent function is called non-dual bent. Naturally, the weakly regular bent functions form a subclass of the class of dual-bent functions. A weakly regular bent function fis called self-dualif f⁎=f. " - Quadratic bent functions and their duals

Quadratic bent functions and their duals

Quadratic almost bent functions - their partial characterization and …

WebNov 30, 2024 · In this paper, we propose a generic construction of rotation symmetric bent functions by modifying the support of a known class of quadratic rotation symmetric bent functions, which generalizes some earlier works. WebDec 15, 2024 · Quadratic almost bent (AB) functions are characterized by the property that the duals of their component functions are bent functions. We prove that these duals are …

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WebQuadratic bent functions and their duals The solutions of these types of equations were recently described in [14], from which we obtain our main results. The paper is organized … WebQuadratic bent functions and their duals. Article. Full-text available. Jun 2024; ... In particular, we give a geometric characterization of Niho bent functions and their duals, give explicit ...

WebThe pebbling number of a graph G, f (G), is the least n such that, no matter how n pebbles are placed on the vertices of G, we can move a pebble to any vertex by a sequence of moves, each move... WebJun 14, 2024 · In this section we consider general quadratic bent and vectorial bent functions. We show that the dual functions for bent and vectorial bent functions can be characterized in terms of quadrics. Let V=V (n,q) be a vector space of dimension n=2k …

WebApr 27, 2024 · Quadratic AB (almost bent) functions are characterized by the property that the duals of their component functions are bent functions. We prove that these duals are … WebJun 14, 2024 · Quadratic bent functions and their duals Authors: Kanat Abdukhalikov Rongquan Feng Duy Ho United Arab Emirates University Read publisher preview Abstract …

WebWe obtain geometric characterizations of the dual functions for quadratic bent and vectorial bent functions in terms of quadrics. Additionally, using the zeros of the polynomial X q + 1 …

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 … craftsman 50 gallon totesWebJun 14, 2024 · Article on Quadratic bent functions and their duals, published in Applicable Algebra in Engineering, Communication and Computing on 2024-06-14 by Kanat … craftsman 50 gal tool boxWebFor a special class of generalized Boolean bent functions with even number of variables constructed from a class of quadratic binary bent functions in polynomial forms proposed by the first author, we explicitly determine their dual functions by explicitly determining duals of these binary bent functions. craftsman 50 gal wheeled toteWebquadratic self-dual bent functions. We construct non-weakly regular bent func-tions with and without a bent dual, and bent functions with a dual bent func-tion of a di erent algebraic degree. 1. Introduction For a prime p, let fbe a function from Fn pto F . The Fourier transform of fis then de ned to be the complex valued function fbon Fn p fb ... division 2 skill overchargeWebMany classical constructions of bent functions result in (weakly) regular bent functions. Sporadic examples of nonweakly regular bent functions indicate that nonweakly regular … division 2 smallest backpackWebSep 19, 2024 · In this paper, we present four new systematic constructions of bent-negabent functions on and variables, respectively, by modifying the truth tables of two classes of quadratic bent-negabent functions with simple form. The algebraic normal forms and duals of these constructed functions are also determined. craftsman 50 inch belt diagramWebquadratic semi-bent Boolean functions and for more details we refer to e.g. [25, 8, 14, 15]. Qu et al. [27] proved that all quadratic Boolean functions, as well as Maiorana-McFarland and … division 2 signature weapon ammo technician