Geodesic
Involutions numeration
Prikladnaya Diskretnaya Matematika. Supplement, no. 5 (2012), pp. 112-113.

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Two algorithms for involutions numeration are proposed in this paper: an algorithm finding index of the given involution and an algorithm constructing involution by means of the given index. 
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L. N. Andreeva; V. A. Poteryaeva. Involutions numeration. Prikladnaya Diskretnaya Matematika. Supplement, no. 5 (2012), pp. 112-113. http://geodesic.mathdoc.fr/item/PDMA_2012_5_a59/

[1] Timoshevskaya N. E., “Razrabotka i issledovanie parallelnykh kombinatornykh algoritmov”, Prikladnaya diskretnaya matematika, 2009, no. 2(4), 96–103

[2] Andreeva L. N., “K kriptoanalizu involyutivnykh shifrov involyutsionnoi podstanovki”, Vestnik Tomskogo gosuniversiteta. Prilozhenie, 2005, no. 14, 43–44