2024 Hyper-bent functions

Hyper-bent functions

Author: wywy

August undefined, 2024

Web27 jun. 2004 · This paper describes the hyper-bent functions of Fn and shows that the bentness of those functions is related to the Dickson polynomials, and provides a possibly new infinite family of hyper- bent functions on finite fields F2n. Expand 39 Highly Influenced View 4 excerpts, cites background and methods Save Alert WebHyper-Bent Functions - International Association for Cryptologic ... EN English Deutsch Français Español Português Italiano Român Nederlands Latina Dansk Svenska Norsk Magyar Bahasa Indonesia Türkçe Suomi Latvian …

Bent and Hyper-Bent Functions in Polynomial Form and Their …

Web1 jan. 2001 · Abstract. Bent functions have maximal minimum distance to the set of affine functions. In other words, they achieve the maximal minimum distance to all the … WebHowever, the deﬁnition of hyper-bent functions was given by Gong and Golomb [16] by a property of the extend Hadamard transform of Boolean functions. Hyper-bent functions as special bent functions with strong properties are hard to characterize and many re-lated problems are open. Much research give the precise characterization of barbour x bape camo bedale jacket

Hyper-bent Boolean Functions and Evolutionary Algorithms

Web1 apr. 2006 · Hyper-bent functions seem still more difficult to generate at random than bent functions; however, by showing that they all can be obtained from some … Web1 sep. 2011 · Charpin and Gong recently characterized a large class of hyperbent functions defined on fields of order 2n, which include the well-known monomial functions with the Dillon exponent as a... Web2 Generalities on Boolean functions In this chapter and in the chapter “Vectorial Boolean Functions for Cryp-tography”, the set {0,1} will be most often endowed with the structure barbour yagli ceket

CiteSeerX — Citation Query Elementary Hadamard difference sets…

Hyper-Bent Functions - IACR

Web30 aug. 2011 · The class of bent functions contains a subclass of functions, introduced by Youssef and Gong in 2001, the so-called hyper-bent functions, whose properties are still stronger and whose elements are still rarer than bent functions. Bent and hyper-bent functions are not classified. Web6 mei 2001 · Hyper-bent functions as a subclass of bent functions [15, 35] achieve the maximal minimum distance to all the coordinate functions of all bijective monomials (i.e., functions of the form... survivor cnvWebHyper-bent functions, in turn, are those bent functions which additionally reach maximum distance from all bijective monomial functions, and provide further security towards … survivor citv dvber

"Web10 okt. 2016 · Hyper-bent functions are an important subclass of bent functions. The definition of hyper-bent functions is given below. Definition 2 A bent function … " - Hyper-bent functions

Hyper-bent functions

Functional Analyst SAP EPPM. (VNR-54755) - circle8.nl

Web15 jul. 2024 · Hyper-bent functions, in turn, are those bent functions which additionally reach maximum distance from all bijective monomial functions, and provide further security towards approximation attacks. Being characterized by a stricter deﬁnition, hyper-bent functions are rarer than bent functions, and much more diﬃcult to construct. Webof Boolean functions. Hyper-bent functions as special bent functions with strong properties are hard to characterize and many related problems are open. Much research give the precise characterization of hyper-bent functions in certain forms. Charpin and Gong [5] studied the hyper-bent functions with multiple trace terms of the form f(x) = ∑ ...

Did you know?

WebThis paper describes the hyper-bent functions of Fn and shows that the bentness of those functions is related to the Dickson polynomials, and provides a possibly new infinite family of hyper- bent functions on finite fields F2n. 39 … Web30 mrt. 2024 · Abstract and Figures. Cryptographic Boolean Functions and Applications, Second Edition is designed to be a comprehensive reference for the use of Boolean functions in modern cryptography. While ...

Web24 mrt. 2024 · It is pointed out that plateaued functions are more general than bent functions (that is, functions with maximum nonlinearity), which provides protection against fast correlation attacks when they are used as combiners or filters in stream ciphers, and contributes to protection against linear cryptanalysis. 10 View 1 excerpt, cites … WebHere we focus on normality and trace expansions of bent functions. Skip to search form Skip to main content Skip to account menu. Semantic Scholar's Logo. Search 208,909,232 papers from all fields of science. Search. Sign In Create Free Account. DOI: 10.1007/11423461_1;

Web31 aug. 2008 · The class of bent functions contains a subclass of functions, introduced by Youssef and Gong in 2001, the so-called hyper-bent functions, whose properties are still stronger and whose elements are still rarer than bent functions. Bent and hyper-bent functions are not classified. WebIn this paper we introduce a new class of bent functions which we call hyper-bent functions. Functions within this class achieve the maximal minimum distance to all the coordinate functions of all bijective monomials. We provide an explicit construction for such functions. We also extend our results to vectorial hyper-bent functions.

WebHyper-bent functions are special bent functions which have many useful applications in cryptography and communications. Using the properties of permutations, we find the …

Web19 dec. 2010 · We generalize the result for functions whose exponent s 1 is of the form r (2 m − 1) where r is co-prime with 2 m + 1. The corresponding bent functions are also … barbour yaka ignesiWeb‎-- IMPORTANT: Hyperposition AR has been designed to use the LiDAR camera and will therefore only function on the iPhone Pro and iPhone Pro Max 12, 13 and 14. -- An experimental AR application that allows you to stretch and transform reality into mind bending architectural collages between film and… barbour x noah bucket hatWeb27 sep. 2024 · In this paper, we introduce generalized hyperbent functions from F 2 n to ℤ 2 k , and investigate decompositions of generalized (hyper)bent functions. We show t … survivor cvc2WebThis book gives a detailed survey of the main results on bent functions over finite fields, presents a systematic overview of their generalizations, … barbour x paddingtonThe idea behind the hyper-bent functions is to maximize the minimum distance to all Boolean functions coming from bijective monomials on the finite field GF(2 n), not just the affine functions. For these functions this distance is constant, which may make them resistant to an interpolation attack. Meer weergeven In the mathematical field of combinatorics, a bent function is a special type of Boolean function which is maximally non-linear; it is as different as possible from the set of all linear and affine functions when measured by Meer weergeven Rothaus defined a bent function as a Boolean function $${\displaystyle f:\mathbb {Z} _{2}^{n}\to \mathbb {Z} _{2}}$$ whose Walsh transform Meer weergeven As early as 1982 it was discovered that maximum length sequences based on bent functions have cross-correlation and autocorrelation properties rivalling those of the Meer weergeven • Correlation immunity Meer weergeven There are several types of constructions for bent functions. • Combinatorial constructions: iterative constructions, … Meer weergeven More than 25 different generalizations of bent functions are described in Tokareva's 2015 monograph. There are algebraic generalizations (q-valued bent functions, p-ary bent … Meer weergeven • C. Carlet (May 1993). Two New Classes of Bent Functions. Eurocrypt '93. pp. 77–101. • J. Seberry; X. Zhang (March 1994). … Meer weergeven barbour yağmur botuWebHyper-Bent Functions A.M.Youssef1 andG.Gong2 CenterforAppliedCryptographicResearch … survivor cpp survivor cub camp stove kit