2024 Hyper-bent functions

Hyper-bent functions

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Webthe deﬁnition of hyper-bent functions was given by Gong and Golomb [15] by a property of the extend Hadamard transform of Boolean functions. Hyper-bent functions as … 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...

A new class of hyper-bent functions and Kloosterman sums - IACR

WebTitle Suppressed Due to Excessive Length 5 3 A class of hyper-bent functions with Dillon exponents Let n be a positive integer, n = 2m, and q = 2m.In this section, we present our new method for characterizing hyper-bent functions over F2n by a Boolean function over Fq, whose Walsh spectrum takes the same value twice. Note that 1 0 = 0. Let g(y) be a … 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 ... british mining companies

A new class of hyper-bent Boolean functions in binomial forms

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 WebOn subfunctions of self-dual bent functions and the existence of self-dual generalized bent functions abstract video: Ferruh Özbudak and Kübra Kaytancı. The c-Differential Uniformity of the Perturbed Inverse Function via a Trace Function Tr( x 2 ⁄x+1) abstract video. 16.00 – 16.25: Ana Salagean and Percy Reyes-Paredes. WebThis book gives a detailed survey of the main results on bent functions over finite fields, presents a systematic overview of their generalizations, … cape fear seafood restaurant wilmington nc

Hyperbent Functions, Kloosterman Sums, and Dickson Polynomials

《Hyper-bent Boolean Functions and Evolutionary Algorithms …

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 … 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; british minimalist architects british mining disasters

"WebKeywords: Bent Functions Hyper-bent Functions Genetic Programming Genetic Algorithms Evolution Strategies 1 Introduction Boolean functions are mathematical objects with numerous applications in cryp-tography, coding theory, and sequences. As such, they received a great deal of attention by the research community in the last decades. Bent ... " - Hyper-bent functions

Hyper-bent functions

《Hyper-bent Boolean Functions and Evolutionary Algorithms …

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 … 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 …

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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 … 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.

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 … 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) = ∑ ...

WebHyper-Bent Functions - International Association for Cryptologic ... EN English Deutsch Français Español Português Italiano Român Nederlands Latina Dansk Svenska Norsk … 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...

WebBent functions, semi-bent functions and other Boolean functions with a few Walsh spectra have important applications in coding theory, cryptography and sequence design. In this paper, motivated by the work of Tang et al.(IEEE Trans. Inf. Theory 63(10), 6149-6157, 2024), we provide several infinite families of bent, semi-bent functions and Boolean …

Webcalled hyper-bent functions, which achieve the maximal minimum distance to all the coordinate functions of all bijective monomials (i.e., functions of the form Trn 1 … cape fear spay and neuterWeb4 mei 2008 · It is shown that the most accurate generalization of results on parameters of bent functions from the case ℓ = 1 to the case ℓ > 1 is obtained if instead of the … british mini series 1970sWeb10 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 … british mini series on amazon primeWeb30 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. british minimum wage 2022Web11 apr. 2024 · Unfortunately this position is not open to freelancers.Expertise in SAP enterprise project and portfolio management area (EPPM) including Project system with development capabilities for the Capital & wells Engineering area in Upstream/Downstream verticals of Oil & Gas industry.Key responsibilitiesExperience in delivering complete SAP … cape fear solar systems reviewsWeb2 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 cape fear spay and neuter clinicThe 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 british miniseries list