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pro vyhledávání: '"Thomas W. Cusick"'
Autor:
Thomas W. Cusick, Younhwan Cheon
Publikováno v:
Advances in Mathematics of Communications. 17:589-604
A Boolean function in \begin{document}$ n $\end{document} variables is 2-rotation symmetric if it is invariant under even powers of \begin{document}$ \rho(x_1, \ldots, x_n) = (x_2, \ldots, x_n, x_1) $\end{document} , but not under the first power (or
Autor:
Thomas W. Cusick, Younhwan Cheon
Publikováno v:
Information Sciences. 547:18-27
A Boolean function in n variables is 2-rotation symmetric if it is invariant under even powers of ρ ( x 1 , … , x n ) = ( x 2 , … , x n , x 1 ) , but not under the first power (ordinary rotation symmetry); we call such a function a 2-function. A
Publikováno v:
Information Sciences. 508:358-379
A Boolean function in n variables is 2-rotation symmetric if it is invariant under even powers of ρ ( x 1 , … … , x n ) = ( x 2 , … , x n , x 1 ) , but not under the first power (ordinary rotation symmetry); we call such a function a 2-functio
Autor:
Thomas W. Cusick, Elizabeth M. Reid
Publikováno v:
International Journal of Computer Mathematics: Computer Systems Theory. 3:145-159
Autor:
Thomas W. Cusick
Publikováno v:
IET Information Security. 11:78-81
The authors describe a method for producing Boolean functions of degree d ≥ 3 in n = 2dk − 1 (k = 1, 2, …) variables, such that the functions are plateaued and balanced, have high nonlinearity and have no linear structures. The nonlinearity is
Autor:
Thomas W. Cusick
Publikováno v:
Discrete Applied Mathematics. 215:14-19
It has been known since 1996 (work of Cai et al.) that the sequence of Hamming weights { w t ( f n ( x 1 , ź , x n ) ) } , where f n is a symmetric Boolean function of degree d in n variables, satisfies a linear recurrence with integer coefficients.
Autor:
Pierre Goovaerts, Thomas W. Cusick, Recinda L. Sherman, Betsy A. Kohler, Linda Beale, Andy Kaufmann, Daniel W. Goldberg, Aleksander Essex, Khaled El Emam, Geoffrey M. Jacquez, Chen Shi, Andrew Curtis
Publikováno v:
Journal of geographical systems. 19(3)
As the volume, accuracy and precision of digital geographic information have increased, concerns regarding individual privacy and confidentiality have come to the forefront. Not only do these challenge a basic tenet underlying the advancement of scie
Autor:
Thomas W. Cusick, Pantelimon Stanica
Publikováno v:
Cryptography and Communications. 8:67-81
Recently much progress has been made on the old problem of determining the equivalence classes of Boolean functions under permutation of the variables. In this paper we prove an asymptotic formula for the number of equivalence classes under permutati
Autor:
Bryan Johns, Thomas W. Cusick
Publikováno v:
Discrete Applied Mathematics. 186:1-6
Rotation symmetric (RS) Boolean functions have been extensively studied in recent years because of their applications in cryptography. In cryptographic applications, it is usually important to know the weight of the functions, so much research has be
Autor:
Thomas W. Cusick, Younhwan Cheon
Publikováno v:
Journal of Mathematical Cryptology, Vol 9, Iss 1, Pp 45-62 (2015)
Rotation symmetric Boolean functions have been extensively studied in the last 15 years or so because of their importance in cryptography and coding theory. Until recently, very little was known about such basic questions as when two such functions a