Abstract:
S-boxes are important parts of modern ciphers. To construct S-boxes having cryptographic parameters close to optimal is an unsolved problem at present time. In this paper some new methods for generating such S-boxes are introduced.
Citation:
A. V. Menyachikhin, “Spectral-linear and spectral-differential methods for generating S-boxes having almost optimal cryptographic parameters”, Mat. Vopr. Kriptogr., 8:2 (2017), 97–116
\Bibitem{Men17}
\by A.~V.~Menyachikhin
\paper Spectral-linear and spectral-differential methods for generating S-boxes having almost optimal cryptographic parameters
\jour Mat. Vopr. Kriptogr.
\yr 2017
\vol 8
\issue 2
\pages 97--116
\mathnet{http://mi.mathnet.ru/mvk227}
\crossref{https://doi.org/10.4213/mvk227}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3689436}
\elib{https://elibrary.ru/item.asp?id=29864952}
Linking options:
https://www.mathnet.ru/eng/mvk227
https://doi.org/10.4213/mvk227
https://www.mathnet.ru/eng/mvk/v8/i2/p97
This publication is cited in the following 13 articles:
S. V. Spiridonov, “Ortomorfizmy grupp s minimalno vozmozhnymi poparnymi rasstoyaniyami”, PDM, 2024, no. 66, 45–59
A. V. Menyachikhin, “Adapted spectral-differential method for construction of differentially 4-uniform piecewise-linear permutations, orthomorphisms, and involutions of the field F2n”, Discrete Math. Appl., 35:1 (2025), 35–61
A. V. Menyachikhin, “On linear equivalence of piecewise-linear permutations of the field F2n”, Discrete Math. Appl., 34:6 (2024), 331–336
A. V. Menyachikhin, “O raznostnoi kharakteristike kusochno-lineinykh podstanovok polya F2n”, Diskret. matem., 35:4 (2023), 58–68
D. B. Fomin, M. A. Kovrizhnykh, “On differential uniformity of permutations derived using a generalized construction”, Matem. vopr. kriptogr., 13:2 (2022), 37–52
M. A. Kovrizhnykh, D. B. Fomin, “Ob evristicheskom algoritme postroeniya podstanovok s zadannymi kriptograficheskimi kharakteristikami s ispolzovaniem obobschennoi konstruktsii”, PDM, 2022, no. 57, 5–21
M. A. Kovrizhnykh, D. B. Fomin, “Ob evristicheskom podkhode k postroeniyu biektivnykh vektornykh bulevykh funktsii s zadannymi kriptograficheskimi kharakteristikami”, PDM. Prilozhenie, 2021, no. 14, 181–184
R. A. de la Cruz Jiménez, “Constructing 8-bit permutations, 8-bit involutions and 8-bit orthomorphisms with almost optimal cryptographic parameters”, Matem. vopr. kriptogr., 12:3 (2021), 89–124
D. I. Trifonov, D. B. Fomin, “Ob invariantnykh podprostranstvakh v XSL-shifrakh”, PDM, 2021, no. 54, 58–76
A. V. Menyachikhin, “The change in linear and differential characteristics of substitution after the multiplication by transposition”, Matem. vopr. kriptogr., 11:2 (2020), 111–123
A. Freyre-Echevarria, A. Alanezi, I. Martinez-Diaz, M. Ahmad, A. A. Abd El-Latif, H. Kolivand, A. Razaq, “An external parameter independent novel cost function for evolving bijective substitution-boxes”, Symmetry-Basel, 12:11 (2020), 1896
A. V. Menyachikhin, “The limited deficit method and the problem of constructing orthomorphisms and almost orthomorphisms of Abelian groups”, Discrete Math. Appl., 31:5 (2021), 327–343
A. V. Menyachikhin, “Orthomorphisms of Abelian groups with minimum possible pairwise distances”, Discrete Math. Appl., 30:3 (2020), 177–186
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