@article{MVK_2024_15_1_a0,
author = {O. V. Denisov},
title = {Difference characteristics of random maps and their compositions},
journal = {Matemati\v{c}eskie voprosy kriptografii},
pages = {5--20},
year = {2024},
volume = {15},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MVK_2024_15_1_a0/}
}
O. V. Denisov. Difference characteristics of random maps and their compositions. Matematičeskie voprosy kriptografii, Tome 15 (2024) no. 1, pp. 5-20. http://geodesic.mathdoc.fr/item/MVK_2024_15_1_a0/
[1] Burov D. A., “Podgruppy pryamogo proizvedeniya grupp, invariantnye otnositelno deistviya podstanovok na somnozhitelyakh”, Diskretnaya matematika, 31:4 (2019), 3–19 | DOI
[2] Denisov O. V., “Kriterii markovosti algoritmov blochnogo shifrovaniya”, PDM, 2018, no. 41, 28–37 | DOI
[3] Drelikhov V. O., “Veroyatnostnye svoistva statisticheskikh svyazei mezhdu vkhodom i vykhodom markovskogo iterativnogo shifra s raundovymi otobrazheniyami na abelevykh gruppakh”, Matematicheskie voprosy kriptografii, 12:1 (2021), 59–82 | DOI | MR
[4] Drelikhov V. O., “O konstruktsiyakh markovskikh otobrazhenii”, Matematicheskie voprosy kriptografii, 15:1 (2024), 21–34
[5] Pogorelov B. A., Pudovkina M. A., “Razbieniya na bigrammakh i markovost algoritmov blochnogo shifrovaniya”, Matematicheskie voprosy kriptografii, 8:1 (2017), 107–142 | DOI | MR | Zbl
[6] Knudsen L., “Truncated and higher order differentials”, FSE-1994, Lect. Notes Comput. Sci., 1008, 1995, 196–211 | DOI | Zbl
[7] Lai X., Massey J., Murphy S., “Markov ciphers and differential cryptanalysis”, Eurocrypt-1991, Lect. Notes Comput. Sci., 547, 1991, 17–38 | DOI | MR | Zbl
[8] Luby M., Rackoff C., “How to construct pseudorandom permutations from pseudorandom functions”, SIAM J. Comput., 17 (1988), 373–386 | DOI | MR | Zbl