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Prikladnaya Diskretnaya Matematika, 2010, supplement № 3, Pages 92–94 (Mi pdm183)  
Applied Theory of Coding, Automata and Graphs

On constructing minimal deterministic finite automaton recognizing a prefix-code of given cardinality

I. R. Akishev, M. E. Dvorkin

St. Petersburg State University of Information Technologies, Mechanics and Optics, St. Petersburg
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Abstract: 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.
Document Type: Article
UDC: 519.713+519.766
Language: Russian
Citation: I. R. Akishev, M. E. Dvorkin, “On constructing minimal deterministic finite automaton recognizing a prefix-code of given cardinality”, Prikl. Diskr. Mat., 2010, supplement № 3, 92–94
Citation in format AMSBIB
\Bibitem{AkiDvo10}
\by I.~R.~Akishev, M.~E.~Dvorkin
\paper On constructing minimal deterministic finite automaton recognizing a~prefix-code of given cardinality
\jour Prikl. Diskr. Mat.
\yr 2010
\pages 92--94
\issueinfo supplement № 3
\mathnet{http://mi.mathnet.ru/pdm183}
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