Geodesic
Symmetric stream and finite automaton ciphersystems
Prikladnaâ diskretnaâ matematika, no. 3 (2009), pp. 59-68.

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The following statements are proved in the paper: 1) stream ciphersystems with the indistinguishable key stream generators are indistinguishable themselves; 2) the output function of the encryption automaton in any finite automaton ciphersystem is injective one for any its state and key being fixed; 3) the classes of the stream and of the finite automaton ciphersystems are functionally equivalent; 4) every selfsynchronizing with a delay $\tau$ finite automaton ciphersystem with the strongly connected projections of the encryption automaton is indistinguishable from a ciphersystem built on the base of a shiftregister of the length $\tau$. Besides, a descriptive and a constructive definitions of the selfsynchronizing stream ciphersystem are introduced, and the equivalence between them are stated. 
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I. V. Pankratov. Symmetric stream and finite automaton ciphersystems. Prikladnaâ diskretnaâ matematika, no. 3 (2009), pp. 59-68. http://geodesic.mathdoc.fr/item/PDM_2009_3_a6/

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