On plateaued functions
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 … 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
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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}), … 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 …
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 … 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 …
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 … 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 …
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.
WebHá 2 horas · The function of aminoacyl-tRNA synthetases (aaRSs) in cell signal transduction has come into focus in recent years. ... Recovery plateaued after 60 s. (d) ... grace lutheran yorktown heightsWebBoolean 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. gracelyn 3 lightWeb12 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. grace lutheran wetaskiwinWeb1 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 … gracelyn atkinsWeb30 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]. … grace lutheran winter havenWebFirst, we introduce the notion of plateaued functions that have many cryptographically desirable properties. Second, we establish a sequence of strengthened inequalities on … gracelyn awad rinkeWeb12 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 … gracelyn awad