On plateaued functions

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August undefined, 2024

Web11 de dez. de 2024 · Plateaued functions were introduced in 1999 by Zheng and Zhang as good candidates for designing cryptographic functions since they possess desirable various cryptographic characteristics. Web12 de abr. de 2024 · Materials for aerostructures require vigorous testing to ensure they can withstand the range of conditions an aircraft is exposed to. With areas such as static bending and free vibration response of materials for this application, including composite panels, having been widely investigated [1,2,3,4,5].A specific area of interest is the …

Plateaued functions, partial geometric difference sets, and partial ...

Web1 de set. de 2024 · A Boolean function is balanced if its output column in the truth table contains an equal number of 0 and 1, i.e. or .. A Boolean function is said to be … WebA Boolean function is said to be plateaued if its Walsh transform takes at most three distinct values, viz. 0 and ±𝜇 for some positive ineger 𝜇 called the amplitude of 𝑓. This notion … fix search bar not working windows 10

On q-ary plateaued functions over F q and their explicit ...

WebPlateaued functions as an extension of bent functions play a signiﬁcant role in cryptography, coding theory, sequences and combinatorics. In 2024, Hodˇzi ´c et al. [14] designed Boolean plateaued functions in spectral domain and provided some construction methods in spectral domain. Web1 de abr. de 2024 · Recently, there have been active developments on construction of association schemes using bent functions or plateaued functions. Introducing some of the previous results, Tan et al. [22] constructed many strongly regular graphs by using ternary bent functions, and then Pott et al. [21] obtained p -class association schemes by … WebBoolean plateaued functions generalize functions with maximal nonlinearity. Moreover, some Boolean plateaued functions achieve tradeoﬀ between properties of nonlinearity and correlation immunity. Recently Mesnager at al. [11] redeﬁned plateaued functions over any ﬁnite ﬁeld Fq where q is a prime power, and established their properties. cannery row condos for sale

Characterization of p-ary functions in terms of association …

Highly nonlinear plateaued functions - Cusick - 2024 - IET …

Web16 de nov. de 2024 · It is shown that the canonical way to construct Generalized MaioranaMcFarland bent functions can be obtained by the generalized indirect sum construction method and it is illustrated that the summarized method can be used to construct bent functions not in the completed GeneralizedMaiorana- McFarland class. Web1 de jul. de 2024 · In this paper we find a complete characterization of plateaued Boolean functions in terms of the associated Cayley graphs. Precisely, we show that a Boolean function f is s-plateaued (of weight =2^(n+s-2)/2) if and only if the associated Cayley graph is a complete bipartite graph between the support of f and its complement … cannery row diners drive ins and divesWeb30 de nov. de 2024 · And a variety of other desirable criteria for functions with cryptographic application could also be satisfied, such as balancedness, high non-linearity, non-existence of non-zero linear structures, good global avalanche characteristics. fix search box

"WebThe focus of this article is on nonlinear characteristics of cryptographic Boolean functions. First, we introduce the notion of plateaued functions that have many cryptographically desirable properties. Second, we establish a sequence of strengthened ... " - On plateaued functions

On plateaued functions

Web3 de set. de 2015 · Computer Science, Mathematics. C2SI. 2024. TLDR. This work extends to arbitrary characteristic the characterizations of plateaued (vectorial) Boolean … 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 …

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WebBoolean Functions for Cryptography and Coding Theory - January 2024 Skip to main content Accessibility help We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Web17 de abr. de 2024 · Abstract: The design of plateaued functions over GF(2) n, also known as 3-valued Walsh spectra functions (taking the values from the set {0, ±2 Γ(n+s/2)1}), …

WebHá 1 dia · The recent TSR performance of Japanese chemical companies has largely been driven by plateaued ROIC and revenue growth. In fact, the Japanese chemical industry has shown a negative revenue CAGR of 0.32 percent over the past ten years, which is 3.9 percent below the global chemical industry and 2.3 percent below the global specialty … Web24 de fev. de 2003 · We extend it into a characterization of plateaued functions (that is bent and three-valued functions). After recalling why the class of plateaued functions …

Web1 de mar. de 2024 · The plateaued functions had already been studied from a coding theory point of view before the plateaued terminology became accepted. We define the order of a plateaued function f in n variables, as in [ 8 , p. 1217] or [ 1 , p. 69], to be the even integer r , 0 ≤ r ≤ n such that all of the non-zero values of W ( f )( y ) 2 are 2 2 n − r .

Web18 de nov. de 2014 · Like the notion of bent function, the notion of plateaued function can be generalized to p -ary plateaued functions (see [ 4] for instance). In this paper, we establish characterizations of bent functions and plateaued functions in terms of sums of powers of the Walsh transform (Theorems 1 and 3 ). We also introduce the notion of …

Web18 de mar. de 2024 · Plateaued functions as an extension of bent functions play a significant role in cryptography, coding theory, sequences and combinatorics. In 2024, … cannery row cliff notesWeb16 de nov. de 2024 · On q-ary Bent and Plateaued Functions. We obtain the following results. For any prime the minimal Hamming distance between distinct regular -ary bent … cannery row john steinbeck 1945Web1 de mar. de 2024 · The plateaued functions had already been studied from a coding theory point of view before the plateaued terminology became accepted. We define the … cannery row deli montereyWebThe Plateaued functions, a large class of Boolean functions containing Bent functions and Partial-Bent functions, are good choices. Therefore, the study of construction and … cannery row dance sceneWebWe 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 … fix search engine in google chromeWebThe focus of this article is on nonlinear characteristics of cryptographic Boolean functions. First, we introduce the notion of plateaued functions that have many cryptographically desirable properties. Second, we establish a sequence of strengthened inequalities on some of the most important nonlinearity criteria, including nonlinearity, avalanche, and … cannery row imdbWebFirst, we introduce the notion of plateaued functions that have many cryptographically desirable properties. Second, we establish a sequence of strengthened inequalities on … cannery row home