Geodesic
Permutations induced by digit-injective transformations of a~module over a~Galois ring
Prikladnaâ diskretnaâ matematika, no. 4 (2013), pp. 5-15.

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New classes of nonlinear permutations that can be represented by linear transformations of a module over a Galois ring are constructed. Some applications in cryptography are discussed.
Mots-clés : digit-injective matrix, DI-matrix, permutation
Keywords: Galois ring. 
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A. V. Abornev. Permutations induced by digit-injective transformations of a~module over a~Galois ring. Prikladnaâ diskretnaâ matematika, no. 4 (2013), pp. 5-15. http://geodesic.mathdoc.fr/item/PDM_2013_4_a0/

[1] Glukhov M. M., “O 2-tranzitivnosti proizvedeniya regulyarnykh grupp podstanovok”, Trudy po diskretnoi matematike, 3, Fizmatlit, M., 2000, 37–52

[2] Glukhov M. M., Zubov A. Yu., “O dlinakh simmetricheskikh i znakoperemennykh grupp podstanovok v razlichnykh sistemakh obrazuyuschikh (obzor)”, Matematicheskie voprosy kibernetiki, 8, 1999, 2–32 | MR

[3] Kuzmin A. S., Nechaev A. A., “Lineinye rekurrentnye posledovatelnosti nad koltsami Galua”, Algebra i logika, 34:2 (1995), 169–189 | MR

[4] Cameron P. J., “Finite permutation groups and finite simple groups”, Bull. London Math. Soc., 13:1 (1981), 1–22 | DOI | MR | Zbl

[5] Pogorelov B. A., Osnovy teorii grupp podstanovok. Ch. I. Obschie voprosy, M., 1986, 316 pp.