On plateaued functions

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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 . 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}), has been commonly approached by specifying a suitable algebraic normal form which then induces this particular Walsh spectral characterization.In this paper, we consider the …

On plateaued functions — Macquarie University

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 … fishing in peterborough area

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

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 jun. de 2004 · Plateaued functions are very important cryptographic functions due to their various desirable cryptographic characteristics. We point out that plateaued … 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 … fishing in pigeon forge

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On primary construction of Plateaued functions Atlantis Press

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 … 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. can blue hosta tolerate sunWeb16 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. fishing in phoenix arizona

"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 … " - On plateaued functions

On plateaued functions

On a Class of Functions With the Maximal Number of Bent …

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, … WebPlateaued 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 …

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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 … 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 …

WebHá 1 dia · The recent TSR performance of Japanese chemical companies has largely been driven by plateaued ROIC and revenue growth. In fact, the Japanese chemical industry has shown a negative revenue CAGR of 0.32 percent over the past ten years, which is 3.9 percent below the global chemical industry and 2.3 percent below the global specialty … WebOn plateaued functions and their constructions Claude Carlet1 and Emmanuel Prou 2 1 INRIA, projet CODES, BP 105 - 78153, Le Chesnay Cedex, FRANCE; also member of GREYC-Caen and of the University of Paris 8 [email protected] 2 INRIA Projet CODES and University of Paris 11, Laboratoire de Recherche en Informatique, 15 rue Georges …

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. 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 …

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 …

Web3 de set. de 2015 · Computer Science, Mathematics. C2SI. 2024. TLDR. This work extends to arbitrary characteristic the characterizations of plateaued (vectorial) Boolean … fishing in peoria illinoisWeb24 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 … fishing in peru south americaWeb1 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 … can blue light cause eye floatersWeb1 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 … fishing in pike county paWeb18 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 … fishing in pilot mountain state parkWeb30 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]. … fishing in philadelphia paWeb1 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 … fishing in pokemon clover