Nonexistence of certain types of plateaued functions

The class of plateaued functions (or rr-plateaued functions) are Boolean functions with many cryptographically desirable properties, and this class of plateaued functions include bent functions. In fact, bent functions are exactly 0-plateaued functions. There are some results on the nonexistence of homogeneous 0-plateaued functions in nn variables by Xia et al., Meng et al., and by the authors. In this paper we present a result on the nonexistence of rr-plateaued functions in nn variables (0