On plateaued functions
WebAbstract. Plateaued and bent functions play a significant role in cryptography, sequence theory, coding theory and combinatorics. In 1997, Coulter and Matthews redefined bent … 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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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 … 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 provide you with a better experience on our websites.
Web1 de jun. de 2004 · Plateaued functions are very important cryptographic functions due to their various desirable cryptographic characteristics. We point out that plateaued … 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 …
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 … 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 …
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 …
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 … crochet pattern central childrens slippersWeb1 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 . buffa\u0027s dance studio reviewsWebA 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 … buffa\u0027s loungeWebAbstract. 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 … buffa\\u0027s bar new orleansWeb12 de abr. de 2024 · Materials for aerostructures require vigorous testing to ensure they can withstand the range of conditions an aircraft is exposed to. With areas such as static bending and free vibration response of materials for this application, including composite panels, having been widely investigated [1,2,3,4,5].A specific area of interest is the … crochet pattern books for babiesWeb18 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 … crochet pattern cardigan freeWebHá 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 … buffat plumbing louisville