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On plateaued functions

Web1 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 … 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.

On q-ary plateaued functions over Fq and their explicit ...

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 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 . csub summer camp https://stephenquehl.com

Generic Constructions of Five-Valued Spectra Boolean 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 … Web15 de jun. de 2024 · Plateaued functions are very important cryptographic functions due to their various desirable cryptographic characteristics. We point out that plateaued … Web7 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 … early registration 2017 memo

Characterization of p-ary functions in terms of association …

Category:Highly nonlinear plateaued functions - Cusick - 2024 - IET …

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On plateaued functions

Some Generic Constructions of Generalized Plateaued Functions

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 … 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 …

On plateaued functions

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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 … WebAbstract. 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 …

Web16 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. Web1 de jun. de 2004 · Plateaued functions are very important cryptographic functions due to their various desirable cryptographic characteristics. We point out that plateaued …

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]. … WebA 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 …

WebFirst, we introduce the notion of plateaued functions that have many cryptographically desirable properties. Second, we establish a sequence of strengthened inequalities on …

WebAbstract. Plateaued and bent functions play a significant role in cryptography, sequence theory, coding theory and combinatorics. In 1997, Coulter and Matthews redefined bent … csub student housingWeb3 de set. de 2015 · Computer Science, Mathematics. C2SI. 2024. TLDR. This work extends to arbitrary characteristic the characterizations of plateaued (vectorial) Boolean … early reflections reverbWebThe 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 ... csub summer housingWeb24 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 … early refund advance loanWebPlateaued 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 … early registration 2019 memoWebWe 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 … csub student recreation centerWeb18 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, … early refund