Geodesic
Layers of a finite automaton
Matematičeskie voprosy kriptografii, Tome 2 (2011) no. 1, pp. 97-117 Cet article a éte moissonné depuis la source Math-Net.Ru

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Layers of automaton are defined, their properties are investigated and conditions for a state of automata to belong to a layer are found. A notion of $t$-unrollment of initial automaton graph is introduced as an oriented graph with marked edges; this notion is used for reduction the enumeration of preimages of the output sequence segment to the construction of graph of solutions for a system of $k$-valued logic equations. An algorithm for the construction of such graph with complexity proportional to the number of vertices of $t$-unrollment is designed. The complexity may depend on $t$ polynomially or exponentially. 
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V. G. Smirnov. Layers of a finite automaton. Matematičeskie voprosy kriptografii, Tome 2 (2011) no. 1, pp. 97-117. http://geodesic.mathdoc.fr/item/MVK_2011_2_1_a3/

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