11 search results - page 1 / 3 » A New Characterization of Almost Bent Functions |
FSE
1999
Springer
13 years 9 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...
DCC
2006
IEEE
14 years 4 months ago
2006
IEEE
We present a new characterization of semi-bent and bent quadratic functions on finite fields. First, we determine when a GF(2)-linear combination of Gold functions Tr(x2i +1 ) is ...
FFA
2008
13 years 4 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...
FSE
2003
Springer
13 years 10 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...
TIT
2008
13 years 4 months ago
2008
A method for constructing differentially 4-uniform quadratic hexanomials has been recently introduced by J. Dillon. We give various generalizations of this method and we deduce th...