9 search results - page 1 / 2 » On Boolean Functions Which Are Bent and Negabent |
SSC
2007
Springer
13 years 11 months ago
2007
Springer
Bent functions f : Fm 2 → F2 achieve largest distance to all linear functions. Equivalently, their spectrum with respect to the Hadamard-Walsh transform is flat (i.e. all spectr...
DAM
2006
13 years 5 months ago
2006
The question if there exist nonnormal bent functions was an open question for several years. A Boolean function in n variables is called normal if there exists an affine subspace ...
DCC
2008
IEEE
14 years 5 months ago
2008
IEEE
A set of Boolean functions is called a bent set if the sum of any two distinct members is a bent function. We show that any bent set yields a homogeneous system of linked symmetric...
DM
2008
13 years 5 months ago
2008
By the relationship between the Walsh spectra at partial points and the Walsh spectra of its sub-functions, by the action of general linear group on the set of Boolean functions, ...
FFA
2008
13 years 5 months ago
2008
We study the Boolean functions f :F2n F2, n = 6r, of the form f (x) = Tr(xd) with d = 22r + 2r + 1 and F2n . Our main result is the characterization of those for which f are b...