Geodesic
Minimal consistent systems of local probabilistic relations for AES-like ciphers
Matematičeskie voprosy kriptografii, Tome 9 (2018) no. 3, pp. 127-142 
V. A. Fedchenko. Minimal consistent systems of local probabilistic relations for AES-like ciphers. Matematičeskie voprosy kriptografii, Tome 9 (2018) no. 3, pp. 127-142. http://geodesic.mathdoc.fr/item/MVK_2018_9_3_a6/
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     author = {V. A. Fedchenko},
     title = {Minimal consistent systems of local probabilistic relations for {AES-like} ciphers},
     journal = {Matemati\v{c}eskie voprosy kriptografii},
     pages = {127--142},
     year = {2018},
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     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MVK_2018_9_3_a6/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

In terms of graph-theoretical model we give a complete description of consistent systems of linear (differential) probabilistic relations with minimum number of active S-boxes for AES-like cipher with arbitrary number of rounds, uniformly diffusive permutations and fixed linear (differential) branch numbers of local matrices.

[1] Fedchenko V. A., “Pokazateli rasseivaniya lineinoi sredy AES-podobnykh algoritmov shifrovaniya”, Matematicheskie voprosy kriptografii, 8:3 (2017), 109–126 | DOI

[2] Malyshev F. M., Trifonov D. I., “Rasseivayuschie svoistva XSLP-shifrov”, Matematicheskie voprosy kriptografii, 7:3 (2016), 47–60 | DOI

[3] Erokhin A. V., Malyshev F. M., Trishin A. E., “Mnogomernyi lineinyi metod i pokazateli rasseivaniya lineinoi sredy shifrpreobrazovanii”, Matematicheskie voprosy kriptografii, 8:4 (2017), 29–62 | DOI

[4] Kholl M., Kombinatorika, Mir, M., 1970, 424 pp.