Summary: The spectra of the conjunctively polynomial-like Boolean functions belonging to their modified canonical normal forms induce a linear space over the field of two elements. A basis of this space was given by the author in [Acta Math. Acad. Paedagog. Nyházi. (N.S.) 23, No. 2, 89–103 (2007; Zbl 1135.06304)]. In this article we give another way to generate a matrix on the basis of the space.