Homogeneous symmetric polynomial-like
Boolean functions

Abstract. Polynomial-like Boolean functions form a class of the Boolean functions invariant with respect to a special transform of the linear space of the two-valued logical functions. Another special set of the Boolean-functions are the set of the symmetric functions. In an earlier article we introduced the class of the symmetric polynomial-like Boolean functions and investigated some elementary properties of such functions. In the present article we deal with the special case of the homogeneous symmetric polynomial-like Boolean functions.