Quadratic bent functions and their duals

Author: tpbd

August undefined, 2024

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. WebJun 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 …

Quadratic almost bent functions - their partial …

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 … 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 … high olive oil diet

On the dual of generalized Boolean bent functions over ℤ4 - IEEE …

WebAug 23, 2015 · Abstract: Bent functions as optimal combinatorial objects are difficult to characterize and construct. In the literature, bent idempotents are a special class of bent … WebSep 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. WebAbstract 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 … how many airports in new york city

Quadratic almost bent functions—Their partial characterization …

Quadratic bent functions and their duals — United Arab Emirates …

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. WebFor 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. how many airports in osloWebquadratic 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 … high omega 3 cooking oils

"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). " - Quadratic bent functions and their duals

Quadratic bent functions and their duals

[2209.08712] Systematic Constructions of Bent-Negabent …

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 … 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.

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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 …

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... WebMany classical constructions of bent functions result in (weakly) regular bent functions. Sporadic examples of nonweakly regular bent functions indicate that nonweakly regular …

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 … WebJun 14, 2024 · Quadratic bent functions and their duals Authors: Kanat Abdukhalikov Rongquan Feng Duy Ho United Arab Emirates University Read publisher preview Abstract …

Webquadratic 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 ...

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. high omega 3 cat foodWebApr 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). high omega 3 foods pregnancyWebDec 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 … high omega 3 foodsWebQuadratic 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 … high omega 3 fatty acid foodsWebDec 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). how many airports in shetlandWebQuadratic 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 ... how many airports in tahitiWebSep 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 … high omega 6 fish