Geodesic
On periodic properties of polylinear shift registers
Diskretnaya Matematika, Tome 29 (2017) no. 1, pp. 27-50

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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.
Keywords: $k$-linear shift register, $k$-linear recurrent sequence, cyclic type. 
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     title = {On periodic properties of polylinear shift registers},
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O. A. Kozlitin. On periodic properties of polylinear shift registers. Diskretnaya Matematika, Tome 29 (2017) no. 1, pp. 27-50. http://geodesic.mathdoc.fr/item/DM_2017_29_1_a3/