Hyper bent function
Web3 that all hyper-bent functions belong to an extended cyclic code of small dimension. It is an easy task to choose at random the elements of such a code, and the proportion of hyper-bent functions in this code is sufficient for getting many of them. We deduce the complete determination of hyper-bent functions on 6,8 and 10 variables and a method 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 …
Hyper bent function
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WebFurthermore, the dual functions of the new bent functions are given. The algebraic degree of the new functions range from 4 to m (or m + 2 except for bent and semi-bent functions) and all the functions possess high nonlinearity. Keywords: Boolean function, bent function, semi-bent function, nonlinearity, algebraic degree, Walsh transform. WebA function f: Fqn → Fq is called a hyperbent function over the field if the parameter ∇ (f,M) takes its minimal possible value q−n/2. For q = 2, Definitions 20 and 21 coincide. Bent Functions: Results and Applications to Cryptography - Page 170 (Natalia Tokareva) However, Youssef and Gong showed in [353] that hyperbent functions exist.
WebIntervertebral disc (IVD) carries compressive loads and resists the tensile and shear stress, produced during bending and rotational movements. Hence, identifying its mechanical behavior has always encouraged researchers to propose various models for this tissue. Both viscoelastic and hyperelastic behavior have been observed regarding the IVD. Therefore, … WebIt is proved that every hyper-bent function f : F 2n → F 2 , can be represented as: f (x) =P r i=1 tr n (a i x ti) ⊕ u000f, where a i ∈ F 2n, u000f ∈ F 2 and w 2 (t i) = n/2. Consequently, all hyper-bent functions have algebraic degree n/2.
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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Web10 aug. 2016 · Hyper-bent functions are both of theoretical and practical interest. In fact, they were initially proposed by Golomb and Gong [ 12] as a component of S-boxes to … firmest foam mattress onlineWeb15 apr. 2007 · Here, we generalize the concept of hyper-bent functions to functions defined over GF (p). Definition 5 A function f : Z p n → Z p is said to be hyper-bent if any of the … eukaryote picture of cellWebIn fact, hyper-bent functions seem still more difficult to generate at random than bent functions and many problems related to the class of hyper-bent functions remain … eukaryote pronunciationWebHyper-bent functions are special bent functions which have many useful applications in cryptography and communications. Using the properties of permutations, we find the … firmest foam mattress topperWeb4 mei 2008 · We study the parameters of bent and hyper-bent (HB) functions in n variables over a field P = \mathbb {F}_q with q = 2 ℓ elements, ℓ > 1. Any such function is … firmest foam for sofa cushionsWebtransform. = = @ @)) eukaryote reproductionWeb4 apr. 2024 · Ben Affleck disses Matt Damon in new Dunkin' commercial. April 3, 2024 11:34 am. Advertisement. Entertainment. eukaryoten chromosomen