On plateaued functions

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August undefined, 2024

Web12 de mai. de 2024 · In the last part we demonstrate that this class belongs to a larger class of functions with $2^{n}-2^{m}$ Maiorana-McFarland bent components, which also contains nonquadratic and non-plateaued functions. 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.

On a Class of Functions With the Maximal Number of Bent …

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 … Web16 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 … shure ksm wireless

On plateaued functions IEEE Transactions on Information Theory

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 … 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]. … 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. the outwaters 2022 full movie

Characterizations of Plateaued and Bent Functions in ... - Springer

Characterization of Basic 5-Value Spectrum Functions Through …

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 . WebPlateaued functions on finite fields have been studied in many papers in recent years. As a generalization of plateaued functions on finite fields, we introduce the notion of a … the outward signsWebOn plateaued functions. Abstract: The 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 … the outward olive

"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. " - On plateaued functions

On plateaued functions

Highly nonlinear plateaued functions - Cusick - 2024 - IET …

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 … 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 …

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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 … 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 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 … 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 …

WebThe Plateaued functions, a large class of Boolean functions containing Bent functions and Partial-Bent functions, are good choices. Therefore, the study of construction and … 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 …

WebOn plateaued functions and their constructions Claude Carlet1 and Emmanuel Prou 2 1 INRIA, projet CODES, BP 105 - 78153, Le Chesnay Cedex, FRANCE; also member of GREYC-Caen and of the University of Paris 8 [email protected] 2 INRIA Projet CODES and University of Paris 11, Laboratoire de Recherche en Informatique, 15 rue Georges …

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}), … shure l2 wireless transmitterWeb1 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 … shure latin americaWebThe focus of this article is on nonlinear characteristics of cryptographic Boolean functions. First, we introduce the notion of plateaued functions that have many cryptographically … the out watersWeb17 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 … shurelily 本人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. shure lapel microphonesWebBoolean 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. the outwaters 2023 wikiWebPlateaued 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. shure large speakers