On plateaued functions
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 … 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 …
On plateaued functions
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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 … WebWe 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 …
WebIn addition, we construct plateaued, but not partially bent, functions that have many properties useful in cryptography. AB - The focus of this correspondence is on nonlinear characteristics of cryptographic Boolean functions. First, we introduce the notion of plateaued functions that have many cryptographically desirable properties. Web12 de abr. de 2024 · Abstract: Whereas the design and properties of bent and plateaued functions have been frequently addressed during the past few decades, there are only a few design methods of the so-called five-valued spectra Boolean functions whose Walsh spectra take the values in {0, ±2 λ1, ±2 λ2}.Moreover, these design methods mainly …
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 .
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 …
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 … iotc communications message boardWeb1 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 … onttf otcWeb7 de mai. de 2024 · In this paper (Sect. 6) we generalize some methods in order to construct binary plateaued functions for q-ary plateaued functions. The Hamming distance d ( f … ont tech universityWeb1 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 … ont technologyWeb1 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 … onttf newsWebAbstract. Plateaued and bent functions play a significant role in cryptography, sequence theory, coding theory and combinatorics. In 1997, Coulter and Matthews redefined bent functions over any finite field F q where q is a prime … ont td1 formWeb1 de jun. de 2004 · Plateaued functions are very important cryptographic functions due to their various desirable cryptographic characteristics. We point out that plateaued … ont telecom definition