Hyper-bent functions
WebClearly a hyper-bent function must be bent. Let b = {bj}j≥0 be a binary sequence with period 2n +1. In the following, first we will give the criterion such that g(x) ↔ b,g(0)=0,is …
Hyper-bent functions
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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 … 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 …
WebHyper-bent functions, in turn, are those bent functions which additionally reach maximum distance from all bijective monomial functions, and provide further security towards … 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 …
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. 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.
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 …
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. download global player appWeb30 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. class 11 chemistry thermodynamics questionsThe 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 class 11 chemistry thermodynamics pdfWebThis book gives a detailed survey of the main results on bent functions over finite fields, presents a systematic overview of their generalizations, … download global address book outlookWebHere 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; download global protect palo altoWeb27 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 class 11 chemistry thermodynamics formulaWeb27 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 … download global player uk