Algebraic immunity upper bound for some Dillon''s bent functions
An upper bound for the algebraic immunity of some Dillon's bent functions is obtained. It is shown that for k = 2, 3,..., 8 the degree for Tu and Deng's function in 2 <sup>k</sup> variables used in the Dillon's method for constructing bent functions of the maximum algebraic immunity equals k — 1.