On periodic properties of polylinear shift registers

This paper continues the author's studies in [Decomp], [2-LSR], [Using] on synthesis of generators of pseudorandom sequences on the basis of polylinear shift registers. The paper [NechMikh] puts forward a method of the study of periodic properties of such automata. In the present paper, this method is used for the study of the cyclic type of a polylinear shift register with irreducible characteristic polynomials.