In this correspondence, we focus on bent functions of the form F(2  n ) rarr F(2) where x rarr Tr(alphax d ). The main contribution of this correspondence is, that we prove that for n=4r, r odd, the exponent d=(2 r +1) 2  allows the construction of bent functions. This open question has been posed by Canteaut based on computer experiments. As a consequence for each of the well understood families of bent functions, we now know an exponent d that yields to bent functions of the given type
['Nils Leander']
Monomial bent functions