CORR
2011
Springer
12 years 11 months ago
2011
Springer
In this paper we characterize (octal) bent generalized Boolean functions defined on Zn 2 with values in Z8. Moreover, we propose several constructions of such generalized bent fun...
SIAMDM
2008
13 years 4 months ago
2008
Based on a computer search, Anne Canteaut conjectured that the exponent 22r +2r + 1 in F26r and the exponent (2r + 1)2 in F24r yield bent monomial functions. These conjectures are ...
DAM
2006
13 years 4 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 ...
DM
2008
13 years 4 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, ...
FSE
1999
Springer
13 years 8 months ago
1999
Springer
We study the functions from Fm 2 into Fm 2 for odd m which oppose an optimal resistance to linear cryptanalysis. These functions are called almost bent. It is known that almost ben...
EUROCRYPT
2001
Springer
13 years 9 months ago
2001
Springer
Bent functions have maximal minimum distance to the set of affine functions. In other words, they achieve the maximal minimum distance to all the coordinate functions of affine mon...
FSE
2003
Springer
13 years 9 months ago
2003
Springer
We use the notion of covering sequence, introduced by C. Carlet and Y. Tarannikov, to give a simple characterization of bent functions. We extend it into a characterization of plat...
FSE
2004
Springer
13 years 10 months ago
2004
Springer
Recent research shows that the class of Rotation Symmetric Boolean Functions (RSBFs), i.e., the class of Boolean functions that are invariant under circular translation of indices,...
FSE
2004
Springer
13 years 10 months ago
2004
Springer
In this paper we study the minimum distance between the set of bent functions and the set of 1-resilient Boolean functions and present a lower bound on that. The bound is proved to...
IMA
2009
Springer
13 years 11 months ago
2009
Springer
The Rayleigh quotient of a bent function is an invariant under the action of the orthogonal group, and it measures the distance of the function to its dual. An efficient algorithm ...