Geodesic
On constructing minimal deterministic finite automaton recognizing a~prefix-code of given cardinality
Prikladnaâ diskretnaâ matematika, no. 12 (2010), pp. 92-94.

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The article considers the problem of constructing minimal deterministic finite automaton recognizing a prefix-code of a given cardinality over the alphabet $\{0,1\}$. The considered problem is proved to be equivalent to the problem of finding the shortest addition-chain ending with a given number. Several interesting properties of the desired minimal finite automaton are proved, and the identical problem concerning Moore automata is discussed. 
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I. R. Akishev; M. E. Dvorkin. On constructing minimal deterministic finite automaton recognizing a~prefix-code of given cardinality. Prikladnaâ diskretnaâ matematika, no. 12 (2010), pp. 92-94. http://geodesic.mathdoc.fr/item/PDM_2010_12_a46/

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