On plateaued functions
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}), … 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 …
On plateaued functions
Did you know?
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, … WebOn 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 …
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 ... 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 …
Web15 de jun. de 2024 · Plateaued functions are very important cryptographic functions due to their various desirable cryptographic characteristics. We point out that plateaued … WebWe 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 …
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 …
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. css svg not showingWeb18 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 … early 2000s jdm carsWebBoolean 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. early 2000s it girlsWeb16 de nov. de 2024 · It is shown that the canonical way to construct Generalized MaioranaMcFarland bent functions can be obtained by the generalized indirect sum construction method and it is illustrated that the summarized method can be used to construct bent functions not in the completed GeneralizedMaiorana- McFarland class. css svg glow effectWeb12 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. early 2000s grunge fashionWeb30 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. early 2000s jrpgsWebThe focus of this article is on nonlinear characteristics of cryptographic Boolean functions. First, we introduce the notion of plateaued functions that have many cryptographically … early 2000s grunge