Geodesic
On multiple transitivity for products of sets of permutations
Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 2, pp. 119-141.

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The study of multiple transitivity of products of sets of permutations on a set $\Omega$ is reduced to the study of products of matrices of small dimensions. For effective application of this approach we need some information about properties of equivalence relations defined on the Cartesian degree of the set $\Omega$. These properties are studied for relations induced by various groups. 
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V. V. Mizerov. On multiple transitivity for products of sets of permutations. Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 2, pp. 119-141. http://geodesic.mathdoc.fr/item/FPM_2006_12_2_a8/

[1] Alfërov A. P., Zubov A. Yu., Kuzmin A. S., Cheremushkin A. V., Osnovy kriptografii, Gelios ARV, M., 2001

[2] Glukhov M. M., “O chislovykh parametrakh, svyazannykh s zadaniem konechnykh grupp sistemami obrazuyuschikh elementov”, Trudy po diskretnoi matematike, 1, TVP, M., 1997, 43–66 | MR | Zbl

[3] Glukhov M. M., Pogorelov B. A., “O nekotorykh primeneniyakh grupp v kriptografii”, Matematika i bezopasnost informatsionnykh tekhnologii, Materialy konferentsii v MGU 28–29 oktyabrya, MTsNMO, M., 2004, 19–31

[4] Elizarov V. P., Konechnye koltsa, Gelios ARV, M., 2006

[5] Nechaev A. A., “Konechnye koltsa glavnykh idealov”, Mat. sb., 91(133):3(7) (1973), 350–366 | Zbl

[6] Pogorelov B. A., Osnovy teorii grupp podstanovok, Chast 1. Obschie voprosy, M., 1986

[7] Shnaier B., Prikladnaya kriptografiya, TRIUMF, M., 2002

[8] McDonald B. R., Finite Rings with Identity, Marcel Dekker, New York, 1974 | MR

[9] Wielandt H., Finite Permutation Groups, Academic Press, New York, 1964 | MR | Zbl