On plateaued functions

Author: jcpc

August undefined, 2024

WebFirst, we introduce the notion of plateaued functions that have many cryptographically desirable properties. Second, we establish a sequence of strengthened inequalities on … 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 …

On plateaued functions and their constructions - IACR

WebBoolean Functions, Plateaued Functions, Nonlinearity, Resiliency, Stream Ciphers. Abstract. To resist different kinds of attacks, Boolean functions used in the cryptosystem should have good cryptographic properties. The Plateaued functions, a large class of Boolean functions containing Bent functions and Partial-Bent functions, are good … Web30 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. diablo 2 act v waypoints

A complete characterization of plateaued Boolean functions in …

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 … 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 … 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 … cinemark theatre cedar park tx

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

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Web1 de jun. de 2004 · Plateaued functions are very important cryptographic functions due to their various desirable cryptographic characteristics. We point out that plateaued … 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. cinemark theatre 290 skinnerWebThe 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 ... diablo 2 acheter items

"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}), … " - On plateaued functions

On plateaued functions

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

Web28 de mar. de 2024 · We obtain concrete upper bounds on the algebraic immunity of a class of highly nonlinear plateaued functions without linear structures than the one was given … Web1 de ago. de 2024 · 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 power, and established their properties. The objective of this work is to redefine the notion of plateaued functions …

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WebAbstract. Plateaued and bent functions play a significant role in cryptography, sequence theory, coding theory and combinatorics. In 1997, Coulter and Matthews redefined bent … 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 inequalities on some of the most important nonlinearity criteria, including nonlinearity, avalanche, and …

Web30 de nov. de 2024 · In order to construct functions with good propagation properties, many experts have given a series of schemes and obtained several excellent results [5-10]. … Web1 de abr. de 2001 · plateaued functions include that they exist both for e ven and odd num- bers of variables, can be balanced and correlation-immune. The remaining part of the …

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 . 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 …

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}), has been commonly approached by specifying a suitable algebraic normal form which then induces this particular Walsh spectral characterization.In this paper, we consider the …

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 … cinemark theatre big spring texasWebPlateaued 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. cinemark theatre bellevue waWeb1 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 … cinemark theatre at great mall milpitasWeb1 de ago. de 2024 · This work finds explicit criteria for the construction of p-ary r-plateaued functions with an odd prime p, and derives an explicit form for the Walsh-Hadamard … diablo 2 aldur\u0027s rhythmWebThe Plateaued functions, a large class of Boolean functions containing Bent functions and Partial-Bent functions, are good choices. Therefore, the study of construction and … cinemark theatre broken arrowWeb16 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 … cinemark theatre chesapeake square mallWeb18 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 … diablo 2 add socket cube recipe