Geodesic
On the Number of Equivalence Classes of Invertible Boolean Functions under Action of Permutation of Variables on Domain and Range
Publications de l'Institut Mathématique, _N_S_100 (2016) no. 114, p. 95 .

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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 $n\leq 6$. This paper describes the procedure by which the values of $V_n$ are calculated for $n\leq 30$.
DOI : 10.2298/PIM1614095C
Classification : 05A15 06E30
Keywords: invertible Boolean functions, the number of equivalence classes, permutation group 
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     author = {Marko Cari\'c and Miodrag  Zivkovi\'c},
     title = {On the {Number} of {Equivalence} {Classes} of {Invertible} {Boolean} {Functions} under {Action} of {Permutation} of {Variables} on {Domain} and {Range}},
     journal = {Publications de l'Institut Math\'ematique},
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Marko Carić; Miodrag  Zivković. On the Number of Equivalence Classes of Invertible Boolean Functions under Action of Permutation of Variables on Domain and Range. Publications de l'Institut Mathématique, _N_S_100 (2016) no. 114, p. 95 . doi : 10.2298/PIM1614095C. http://geodesic.mathdoc.fr/articles/10.2298/PIM1614095C/

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