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Malyshev Fedor Mikhailovich
(recent publications)

by years

scientific publications

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2026
1.	F. M. Malyshev, “$\{2,3\}$-Configurations”, Math. Notes, 119:5 (2026), 939–959
2.	F. M. Malyshev, “Topologii na $k$-konfiguratsiyakh i geometricheskie realizatsii $(6,3)$, $(9,5)$, $(15,9)$-konfiguratsii”, Matem. vopr. kriptogr., 17:1 (2026), 89–108
3.	F. M. Malyshev, Diskr. Mat.

2025
4.	F. M. Malyshev, “Kombinatornye konfiguratsii dlya lineinoi sredy algoritmov shifrovaniya”, Materialy XX Mezhdunarodnoi nauchnoi konferentsii «Problemy teoreticheskoi kibernetiki», Maks-Press, M., 2025, 89–92
5.	F. M. Malyshev, “Kommutativno-gruppovye 5-konfiguratsii”, Matem. vopr. kriptogr., 16:4 (2025), 61–86	1 ^[x]
6.	F. M. Malyshev, Diskr. Mat.

2024
7.	F. M. Malyshev, “Realization of permutations of even degree by products of three fixed-point-free involutions”, Sb. Math., 215:12 (2024), 1720–1754
8.	F. M. Malyshev, “Realization of even permutations of even degree by products of four involutions without fixed points”, Discrete Math. Appl., 34:5 (2024), 263–276

2023
9.	F. M. Malyshev, “Embedding of provably unsolvable problems into stream ciphers”, Mat. Vopr. Kriptogr., 14:1 (2023), 65–83
10.	F. M. Malyshev, “Invariant sums of products of differentials”, Moscow University Mathematics Bulletin, 78:4 (2023), 198–202
11.	F. M. Malyshev, Chebyshevskii Sb., 24:4 (2023), 212–238
12.	F. M. Malyshev, “Realizatsiya podstanovok chetnoi stepeni proizvedeniyami trekh involyutsii bez nepodvizhnykh tochek”, Diskretnye modeli v teorii upravlyayuschikh sistem (Trudy XI Mezhdunarodnoi konferentsii), M., 2023, 74–77 http://agora.guru.ru/dm11
13.	F. M. Malyshev, “Invariantnye differentsialnye polinomy”, Materialy Vserossiiskoi nauchno-prakticheskoi konferentsii, posvyaschennoi 85-letiyu so dnya rozhdeniya professora A. R. Esayana. Tula, 2023, 18-22

2022
14.	F. M. Malyshev, “Proof of the Brunn–Minkowski Theorem by Brunn Cuts”, Math. Notes, 111:1 (2022), 82–92
15.	F. M. Malyshev, “$k$-Configurations”, Proc. Steklov Inst. Math., 316 (2022), 233–253
16.	F. M. Malyshev, “Proof of the Bruns theorem for schoolchildren”, Geometric aspects of teaching mathematics in higher and secondary school, Proceedings of the International Conference “Classical and Modern Geometry” in honor of Levon S. Atanasyan on his 100th birthday, MPGU, M., 2022, 130–138

2024
17.	F. M. Malyshev, “Methods of linear and differential relations in cryptography”, Discrete Math. Appl., 34:3 (2024), 145–166

2022
18.	M. M. Komyagin, F. M. Malyshev, “Izomorfizmy izvestnykh 5-konfiguratsii”, Algebra, teoriya chisel, diskretnaya geometriya i mnogomasshtabnoe modelirovanie: sovremennye problemy, prilozheniya i problemy istorii (Materialy XXI Mezhdunarodnoi konferentsii, posvyaschennoi 85-letiyu so dnya rozhdeniya A. A. Karatsuby. Tula), 2022, 106–110
19.	M. M. Komyagin, F. M. Malyshev, “Sposoby postroeniya i razlicheniya 5- konfiguratsii”, Diskretnaya matematika i ee prilozheniya (Materialy XIV Mezhdunarodnogo seminara im. O. B. Lupanova.), M., 2022, 159–162

2021
20.	F. M. Malyshev, “$k$-configuration”, Algebra, number theory, discrete geometry and multiscale modeling: modern problems, applications and problems of history, Proceedings of the XIX International Conference, 2021, 106–110
21.	F. M. Malyshev, “Completion of the proof of Brunn’s theorem by elementary means”, Chebyshevskii Sb., 22:2 (2021), 160–182
22.	F. M. Malyshev, “On the Brunn and Brunn–Minkowski theorems”, International Conference on Algebra, Analysis and Geometry, Proceedings of the International Conference. Kazan, 2021, 391–393
23.	F. M. Malyshev, “Prof of the Bruns theorem for schoolchildren”, Classical and Modern Geometry, Proceedings of the International Conference in honor of Levon S. Atanasyan on his 100th birthday, MPGU, Moscow, 2021, 391–393
24.	F. M. Malyshev, “Ciphers with provable durability”, Algebra, number theory, discrete geometry and multiscale modeling: modern problems, applications and problems of history, Proceedings of the XX International Conference, 2021, 12–16
25.	F. M. Malyshev, “Probabilistic relations for transformations of finite vector spaces”, Mat. Vopr. Kriptogr., 12:4 (2021), 43–58
26.	F. M. Malyshev, “Boolean analogues of Pascal triangle with the maximum possible number of ones”, Discrete Math. Appl., 31:5 (2021), 319–325

2020
27.	F. M. Malyshev, “Proof of the Brunn–Minkowski theorem by elementary methods”, Proceedings of the International Conference “Classical and Modern Geometry” Dedicated to the 100th Anniversary of the Birth of Professor Vyacheslav Timofeevich Bazylev. Moscow, April 22-25, 2019. Part 4, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 182, VINITI, Moscow, 2020, 70–94
28.	F. M. Malyshev, “Obobschennye grafy de Breina”, Algebra, teoriya chisel i diskretnaya geometriya: sovremennye problemy, prilozheniya i problemy istorii, Materialy XVIII Mezhdunarodnoi konferentsii, posvyaschennoi stoletiyu so dnya rozhdeniya professorov B. M. Bredikhina, V. I. Nechaeva i S. B. Stechkina. Tula, 2020, 180–184

2022
29.	F. M. Malyshev, “Generalized de Bruijn graphs”, Discrete Math. Appl., 32:1 (2022), 11–38

2020
30.	F. M. Malyshev, A. E. Trishin, “Linear and differential cryptanalysis: Another viewpoint”, Matem. vopr. kriptogr., 11:2 (2020), 83–98	11 ^[x]
31.	F. M. Malyshev, Mat. Vopr. Kriptogr., 11:4 (2020), 97–105

2019
32.	F. M. Malyshev, “Novoe dokazatelstvo neravenstva Brunna-Minkovskogo”, Klassicheskaya i sovremennaya geometriya (Materialy Mezhdunarodnoi konferentsii, posvyaschennoi 100-letiyu so dnya rozhdeniya V. T. Bazyleva), MPGU, Moskva, 2019, 111–113
33.	F. M. Malyshev, “Probabilistic characteristics of differential and linear relations for nonhomogeneous linear medium”, Mat. Vopr. Kriptogr., 10:1 (2019), 41–72
34.	F. M. Malyshev, “Raznostnye kharakteristiki slozhenii elementov $GF(2)^n$ po ${\rm mod}\,2$ i po ${\rm mod}\,2^n$"”, Algebra, teoriya chisel i diskretnaya geometriya: sovremennye problemy, prilozheniya i problemy istorii., Materialy XVI Mezhdunarodnoi konferentsii, posvyaschennoi 80-letiyu so dnya rozhdeniya professora Mishelya Deza. TGPU im. L. N. Tolstogo, Tula, 2019, 175–179
35.	F. M. Malyshev, “Elementarnoe dokazatelstvo teoremy Brunna–Minkovskogo”, Algebra, teoriya chisel i diskretnaya geometriya: sovremennye problemy, prilozheniya i problemy istorii, Materialy XVII Mezhdunarodnoi konferentsii, posvyaschennoi stoletiyu so dnya rozhdeniya professora N. I. Feldmana i devyanostoletiyu so dnya rozhdeniya professorov A. I. Vinogradova, A. V. Malysheva i B. F. Skubenko, TGPU im. L. N. Tolstogo, Tula, 2019, 168–172
36.	F. M. Malyshev, “Functional circuits defining families of permutations of the space $GF(2)^N$”, Mat. Vopr. Kriptogr., 10:3 (2019), 81–87
37.	F. M. Malyshev, “Generation of the alternating group by modular additions”, Discrete Math. Appl., 29:5 (2019), 303–309

2018
38.	F. M. Malyshev, “Gruppy podstanovok, porozhdënnye modulnymi slozheniyami”, Materialy mezhdunarodnoi algebraicheskoi konferentsii, posvyaschënnoi 110-letiyu so dnya rozhdeniya A.G. Kurosha ((Moskva, 2018) mekh-mat MGU, Moskva), 2018, 132–135
39.	F. M. Malyshev, “Usloviya slaboi obratimosti dlya $n$-kvazigrupp”, Materialy mezhdunarodnoi algebraicheskoi konferentsii, posvyaschënnoi 110-letiyu so dnya rozhdeniya A.G. Kurosha ((Moskva, 2018) mekh-mat MGU, Moskva), 2018, 135–138
40.	F. M. Malyshev, A. E. Trishin, “Lineinyi i raznostnyi metody v kriptografii (drugoi vzglyad)”, Algebra, teoriya chisel i diskretnaya geometriya: sovremennye problemy i prilozheniya., Materialy XV mezhdunarodnoi konferentsii, posvyaschënnoi stoletiyu so dnya rozhdeniya Nikolaya Mikhailovicha Korobova. TGPU im. L.N. Tolstogo, Tula, 2018, 42–45
41.	F. M. Malyshev, “Beskonechnye serii prostykh obobschënnykh grafov de Breina”, Algebra, teoriya chisel i diskretnaya geometriya: sovremennye problemy i prilozheniya., Materialy XV mezhdunarodnoi konferentsii, posvyaschënnoi stoletiyu so dnya rozhdeniya Nikolaya Mikhailovicha Korobova. TGPU im. L.N. Tolstogo, Tula, 2018, 187–190

2019
42.	F. M. Malyshev, “On affine classification of permutations on the space $GF(2)^3$”, Discrete Math. Appl., 29:6 (2019), 363–371

2018
43.	F. M. Malyshev, “Weakly invertible $n$-quasigroups”, Chebyshevskii Sb., 19:2 (2018), 304–318

2017
44.	F. M. Malyshev, “Kriptograficheski slabye funktsii uslozhneniya dlya trekhchlennykh lineinykh rekurrentnykh posledovatelnostei”, Matem. vopr. kriptogr., 8:1 (2017), 69–80
45.	A. V. Erokhin, F. M. Malyshev, A. E. Trishin, “Multidimensional linear method and diffusion characteristics of linear medium of ciphering transform”, Mat. Vopr. Kriptogr., 8:4 (2017), 29–62

2016
46.	F. M. Malyshev, “The Post-Gluskin-Hosszú theorem for finite $n$-quasigroups and self-invariant families of permutations”, Sb. Math., 207:2 (2016), 226–237

2017
47.	F. M. Malyshev, “Distribution density of commutant of random rotations of three-dimensional Euclidean space”, Theory Probab. Appl., 61:2 (2017), 277–294

2016
48.	F. M. Malyshev, “The Post – Gluskin – Hosszu theorem for $n$-quasigroups”, Proceedings of the XIV international conference “Algebra and Number Theory: Contemporary Problems and Applications” (Saratov, 2016), SSU, Saratov, 2016, 59–62

2017
49.	F. M. Malyshev, “Distribution of the extreme values of the number of ones in Boolean analogues of the Pascal triangle”, Discrete Math. Appl., 27:3 (2017), 149–176

2016
50.	F. M. Malyshev, D. I. Trifonov, “Diffusion properties of XSLP-ciphers”, Mat. Vopr. Kriptogr., 7:3 (2016), 47–60

2015
51.	F. M. Malyshev, “Family of Equal-Sized $n$-Dimensional Polyhedra Satisfying Cavalieri's Principle”, Math. Notes, 97:2 (2015), 213–229
52.	F. M. Malyshev, “The complexity of initial state recovery for a class of filter generators”, Mat. Vopr. Kriptogr., 6:1 (2015), 109–116
53.	F. M. Malyshev, “Kombinatornye konfiguratsii i odnorodnye triangulyatsii torov”, Materialy XIII Mezhdunarodnoi konferentsii «Algebra, teoriya chisel i diskretnaya geometriya: sovremennye problemy i prilozheniya» (Tula, 2015), TGPU, Tula, 2015, 309–312
54.	F. M. Malyshev, “Bases of recurrent sequences”, Chebyshevskii Sb., 16:2 (2015), 155–185

2014
55.	F. M. Malyshev, “The duality of differential and linear methods in cryptography”, Mat. Vopr. Kriptogr., 5:3 (2014), 35–47
56.	F. M. Malyshev, “On the fraction of matrices with maximal additive complexity”, Discrete Math. Appl., 24:6 (2014), 359–361

2013
57.	F. M. Malyshev, “Three series of $5$-configurations”, Mat. Vopr. Kriptogr., 4:3 (2013), 83–97
58.	F. M. Malyshev, “Four infinite series of $k$-configurations”, Mat. Vopr. Kriptogr., 4:4 (2013), 65–75

2012
59.	F. M. Malyshev, A. A. Frolov, “Classification of $(v,3)$-Configurations”, Math. Notes, 91:5 (2012), 689–696
60.	F. M. Malyshev, “Metric properties of embeddings of the set of integers into the cylider”, Mat. Vopr. Kriptogr., 3:3 (2012), 57–79

2011
61.	F. M. Malyshev, “Basises of integers under the multiplace shift operations”, Mat. Vopr. Kriptogr., 2:1 (2011), 29–73
62.	F. M. Malyshev, A. A. Frolov, “Classification theorems for (v,k)–configurations”, Proceedings of MaBIT-2010, “Mathematical aspects of information security” (Moscow, 2010), MCCME, 2011, 61–65

2010
63.	F. M. Malyshev, “Doubly transitive XLS-families of permutations”, Mat. Vopr. Kriptogr., 1:2 (2010), 93–103
64.	F. M. Malyshev, “On the asymptotic behavior of the probability distributions on the residue rings”, Proceedings of MaBIT-2009, “Mathematical aspects of information security” (Moscow, 2009), MCCME, 2010, 23–31

Full list of publications