Hyper-bent functions
Web15 apr. 2007 · Binary hyper-bent 1 functions are those Boolean functions with n inputs ( n even) such that, for a given even integer k ( 2 ⩽ k ⩽ n - 2), any of the Boolean functions … 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...
Hyper-bent functions
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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 … 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 ...
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. WebHyper-bent functions, in turn, are those bent functions which additionally reach maximum distance from all bijective monomial functions, and provide further security towards …
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 … Web4 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 …
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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 … chronicles of riddick zizaWebBent 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 … derek and julianne hough dance on dwtsWeb27 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 … derek and julianne hough familyWebThis book gives a detailed survey of the main results on bent functions over finite fields, presents a systematic overview of their generalizations, … chronicles of riddick watch onlineWeb1 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 … derek and maria broaddusWebClearly 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 … chronicles of saint mary\u0027s order of booksWeb1 dec. 2011 · Bent functions, which are maximally nonlinear Boolean functions with even numbers of variables and whose Hamming distance to the set of all affine functions equals $2^ {n-1}\pm 2^ {\frac {n} {2}-1}$, were introduced by Rothaus in 1976 when he considered problems in combinatorics. derek and julianne hough christmas special