11 search results - page 1 / 3 » A New Characterization of Almost Bent Functions |
FSE
1999
Springer
14 years 3 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 10 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 11 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
14 years 4 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 10 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...