Quadratic bent functions and their duals

Author: gioz

August undefined, 2024

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 ... 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 …

Quadratic bent functions and their duals — United Arab Emirates …

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 … 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. thigh spreader

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

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 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 … 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 … thighsquish

[2209.08712] Systematic Constructions of Bent-Negabent Functions…

Quadratic almost bent functions - their partial characterization and …

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 … 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). thigh split pencil skirtWebDec 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). thigh sprain icd 10

"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. " - Quadratic bent functions and their duals

Quadratic bent functions and their duals

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

Did you know?

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 … 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 …

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 …

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 ... 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 …

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).

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 … thighs po polskuWebFor 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. thighs popeyesWebMany classical constructions of bent functions result in (weakly) regular bent functions. Sporadic examples of nonweakly regular bent functions indicate that nonweakly regular … thigh spyWebIt 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. thighs pronounceWebThe 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... thigh sq injectionWebSep 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. saint john of the gratingWebDec 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 … thigh spreader with mirror