On plateaued functions
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 … 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
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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. WebBoolean 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.
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 · 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 …
Web24 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 … 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 …
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) ... how do organisms such as humans heal injuriesWeb1 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 … how do organisms respond to external stimuliWeb30 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]. … how much protein in one peanutWeb1 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 . how do organisms reproduce questions answersWeb12 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. how do organisms reproduction class 10 notesWeb7 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 … how much protein in one prawnWeb30 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. how do organisms use matter