Four decades of research on bent functions
WebJul 1, 2016 · Bent functions are maximally nonlinear Boolean functions. They are important functions introduced by Rothaus and studied firstly by Dillon and next by many researchers for four decades. Since the complete classification of bent functions seems elusive, many researchers turn to design constructions of bent functions. WebJan 31, 2016 · We investigate explicit constructions of bent functions which are linear on elements of spreads. Our constructions are obtained from symplectic presemifields which are associated to pseudo-planar functions. ... Four decades of research on bent functions, J. Des. Codes Crypt., 78 (2016) , 5-50. doi: 10.1007/s10623-015-0145-8. A. …
Four decades of research on bent functions
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WebNov 30, 2024 · In this paper, we propose a generic construction of rotation symmetric bent functions by modifying the support of a known class of quadratic rotation symmetric bent functions, which generalizes some earlier works. WebMay 1, 2024 · Bent functions are maximally nonlinear Boolean functions. They are wonderful creatures introduced by O. Rothaus in the 1960’s and studied firstly by J. …
WebBent functions are optimal combinatorial objects having a lot of applications, in particular, in cryptography. Since their introduction, substantial efforts have been directed toward their study in the last three decades. In this paper, we investigate two families of functions possessing properties related to bentness: the so-called negabent ... WebProperties of a secondary bent function construction that adds the indicator of an affine subspace of arbitrary dimension to a given ... Four decades of research on bent functions. Des. Codes Cryptogr. 78 (1), 5–50 (2016) MathSciNet CrossRef. 10. go back to reference Cusick, T.W., Stanica, P.: Cryptographic Boolean functions and applications ...
WebJul 1, 2016 · Bent functions are maximally nonlinear Boolean functions. They are important functions introduced by Rothaus and studied firstly by Dillon and next by … WebJan 1, 2016 · Four decades of research on bent functions Authors: Claude Carlet , Sihem Mesnager Authors Info & Claims Designs, Codes and Cryptography Volume 78 Issue 1 …
WebOct 24, 2004 · In general, there are two ways to construct bent functions: primary constructions and secondary constructions. For some primary and secondary …
WebA new secondary construction of generalized bent functions from four initial functions is also investigated. We demonstrate that many known constructions can be derived from … top rated grow lights 2022WebNov 30, 2024 · Abstract. Rotation symmetric bent functions are a special class of Boolean functions, and their construction is of theoretical and practical interest. In this paper, we … top rated ground chicken burger recipeWebJul 1, 2016 · Bent functions have attracted a lot of research for four decades because of their relation to coding theory (in particular, as explained by Ding in the two nice papers [ 11, 12 ], bent functions give rise automatically to linear codes), sequences, applications in cryptography and other domains such as combinatorics and design theory. top rated grow bagsWebJul 31, 2024 · For , in the English literature bent functions were introduced by Rothaus first in the 1960s in a technical report with restricted circulation, and then in 1976 in his … top rated growing soilWebFour decades of research on bent functions. Des. Codes Crypt. 78(1), 5---50 (2016) Google ScholarDigital Library Carlet, C., Zhang, F., Hu, Y.: Secondary constructions of bent functions and their enforcements. Adv. Math. Commun. 6(3), 305---314 (2012)Google ScholarCross Ref Carlet, C.: top rated grow lights for seedlingsWebFeb 22, 2024 · Much research has been conducted in an attempt to decrease skeletal injuries in athletic horses. The objective of this literature review is to compile the findings of over three decades of research in this area, make practical recommendations, and describe how research can develop over the years. An initial study investigating the role … top rated grounding sleeping matWebJul 15, 2016 · Bent functions are maximally nonlinear Boolean functions. They are important functions introduced by Rothaus and studied firstly by Dillon and next by … top rated growth stocks w dividends