On plateaued functions

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August undefined, 2024

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

Plateaued Functions SpringerLink

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 … orbea wild fs m-ltd grau

Research on highly non‐linear plateaued functions - Sun

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 … Web15 de jun. de 2024 · Plateaued functions are very important cryptographic functions due to their various desirable cryptographic characteristics. We point out that plateaued … 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. orbea wild fs m20 2022 germany sale

Highly nonlinear plateaued functions - Cusick - 2024 - IET …

6 - Bent functions and plateaued functions - Cambridge Core

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 … 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 … ipn infusionWebA 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 … orbea wild fs m20 carbon 2022 review

"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 … " - On plateaued functions

On plateaued functions

On q-ary bent and plateaued functions SpringerLink

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]. … 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 …

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Web1 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 … 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 ...

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}), … 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.

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 …

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. ipn initial project managementWeb1 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 … ipn kingston medical centreWebThe focus of this article is on nonlinear characteristics of cryptographic Boolean functions. First, we introduce the notion of plateaued functions that have many cryptographically … orbea wild fs m20 2022 testWeb24 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 … orbea wild ht 10 29Web1 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 … orbea wild fs m20 fully e-bikeWebPlateaued 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 … ipn it academyWeb7 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 … orbea wild fs h30 e-mtb