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 ...
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...
Anne Canteaut, Pascale Charpin, Gohar M. M. Kyureg...
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...
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 ...
Anne Canteaut, Magnus Daum, Hans Dobbertin, Gregor...
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,...
Pantelimon Stanica, Subhamoy Maitra, John A. Clark