About invertibility finite automata with finite delay
Experimental estimates are obtained for the proportion of invertible, weakly invertible and strong invertible finite automata with finite delay. The estimates show that the proportion of the invertible automata is small (about 3 %) for automata with near numbers of states and output symbols and is large (over 80 %) for automata with the number of output symbols being 4 times more than the number of input symbols and 2 times more than the number of states.
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Keywords
конечные автоматы, слабая обратимость, обратимость, анализ обратимости, синтез обратных автоматов, доля обратимых автоматов, finite automata, weakly invertibility, invertibility, analysis of invertibility, synthesis of inverse automata, proportion of invertible automataAuthors
Name | Organization | |
Katerinskiy D.A. | Tomsk State University | deniskat@isc.tsu.ru |
References
Богаченко Н. Ф. Применение теоретико-автоматных моделей в криптографии // Математические структуры и моделирование. 2007. Вып. 17. С. 112-120.
Tao R. J. Finite automata and application to cryptography. Tsinghua: Springer, 2008.
