Publications de l’Institut Mathématique, Nouvelle Série Vol. 100[114], No. 1/1, pp. 95–99 (2016) 

ON THE NUMBER OF EQUIVALENCE CLASSES OF INVERTIBLE BOOLEAN FUNCTIONS under Action of Permutation of Variables on Domain and RangeMarko Carić, Miodrag ŽivkovićAdvanced School of Electrical Engineering Applied Studies, Belgrade, Serbia; Faculty of Mathematics, Department of Informatics, University of Belgrade, SerbiaAbstract: Let ${V}_{n}$ be the number of equivalence classes of invertible maps from ${\{0,1\}}^{n}$ to ${\{0,1\}}^{n}$, under action of permutation of variables on domain and range. So far, the values ${V}_{n}$ have been known for $n\le 6$. This paper describes the procedure by which the values of ${V}_{n}$ are calculated for $n\le 30$. Keywords: invertible Boolean functions; the number of equivalence classes; permutation group Classification (MSC2000): 05A15; 06E30 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 8 Nov 2016. This page was last modified: 14 Nov 2016.
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