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Malyshev Fedor Mikhailovich

Publications


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   2026
1. F. M. Malyshev, “$\{2,3\}$-Configurations”, Math. Notes, 119:5 (2026), 939–959  mathnet  crossref  crossref
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  mathnet  crossref

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

   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  mathnet  crossref  crossref  mathscinet  adsnasa  isi  scopus
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  mathnet  crossref  crossref  scopus

   2023
9. F. M. Malyshev, “Embedding of provably unsolvable problems into stream ciphers”, Mat. Vopr. Kriptogr., 14:1 (2023), 65–83  mathnet  crossref  mathscinet
10. F. M. Malyshev, “Invariant sums of products of differentials”, Moscow University Mathematics Bulletin, 78:4 (2023), 198–202  mathnet  crossref  crossref  elib
11. F. M. Malyshev, Chebyshevskii Sb., 24:4 (2023), 212–238  mathnet  crossref  mathscinet
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  mathnet  crossref  crossref  mathscinet  isi  scopus
15. F. M. Malyshev, “$k$-Configurations”, Proc. Steklov Inst. Math., 316 (2022), 233–253  mathnet  crossref  crossref  mathscinet  isi  scopus
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  mathnet  crossref  crossref  isi  scopus

   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  mathnet  crossref  mathscinet  scopus
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  hlocal
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  hlocal
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  mathnet  crossref  mathscinet
26. F. M. Malyshev, “Boolean analogues of Pascal triangle with the maximum possible number of ones”, Discrete Math. Appl., 31:5 (2021), 319–325  mathnet  crossref  crossref  mathscinet  isi  elib  scopus

   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  mathnet  crossref  mathscinet
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  mathnet  crossref  crossref  mathscinet  scopus

   2020
30. F. M. Malyshev, A. E. Trishin, “Linear and differential cryptanalysis: Another viewpoint”, Matem. vopr. kriptogr., 11:2 (2020), 83–98  mathnet  crossref  mathscinet 9
31. F. M. Malyshev, Mat. Vopr. Kriptogr., 11:4 (2020), 97–105  mathnet  crossref  mathscinet

   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  mathnet  crossref  mathscinet  elib
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  mathnet  crossref  mathscinet
37. F. M. Malyshev, “Generation of the alternating group by modular additions”, Discrete Math. Appl., 29:5 (2019), 303–309  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus

   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  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus

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

   2017
44. F. M. Malyshev, “Kriptograficheski slabye funktsii uslozhneniya dlya trekhchlennykh lineinykh rekurrentnykh posledovatelnostei”, Matem. vopr. kriptogr., 8:1 (2017), 69–80  mathnet  crossref  mathscinet  elib
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  mathnet  crossref  mathscinet  elib  elib

   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  mathnet  crossref  crossref  mathscinet  zmath  zmath  adsnasa  isi  elib  elib  scopus

   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  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus

   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  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus

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

   2015
51. F. M. Malyshev, “Family of Equal-Sized $n$-Dimensional Polyhedra Satisfying Cavalieri's Principle”, Math. Notes, 97:2 (2015), 213–229  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
52. F. M. Malyshev, “The complexity of initial state recovery for a class of filter generators”, Mat. Vopr. Kriptogr., 6:1 (2015), 109–116  mathnet  crossref  mathscinet  elib
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  elib
54. F. M. Malyshev, “Bases of recurrent sequences”, Chebyshevskii Sb., 16:2 (2015), 155–185  mathnet  elib

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

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

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

   2011
61. F. M. Malyshev, “Basises of integers under the multiplace shift operations”, Mat. Vopr. Kriptogr., 2:1 (2011), 29–73  mathnet  crossref  elib
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  mathnet  crossref  elib
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

   2009
65. F. M. Malyshev, V. L. Migunov, “On the limit behavior of a probability distribution on the circle”, Chebyshevskii Sb., 10:1 (2009), 59–64  mathnet  mathscinet  elib

   2008
66. F. M. Malyshev, “Generating sets of elements of recurrent sequences”, Tr. Diskr. Mat., 11, no. 2, Fizmatlit, Moscow, 2008, 86–111  mathnet

   2007
67. F. M. Malyshev, “On a generating system of alternating groups on finite vector spaces”, Tr. Diskr. Mat., 10, Fizmatlit, Moscow, 2007, 175–181  mathnet
68. F. M. Malyshev, “Bazisnye nabory v rekurrentnykh posledovatelnostyakh”, Materialy IX mezhdunar. sem. “Diskretnaya matematika i eë prilozheniya” (Moskva, 2007), mekhmat MGU, M., 2007, 442–444
69. F. M. Malyshev, V. N. Romanov, “Strongly essential transforms of the Cartesian products of a set”, Bulletin of Tomsk state university, 23 (2007), 42–43

   2006
70. F. M. Malyshev, E. V. Kutyreva, “On the distribution of the number of ones in a Boolean Pascal's triangle”, Discrete Math. Appl., 16:3 (2006), 271–279  mathnet  crossref  crossref  mathscinet  zmath  elib  scopus
71. F. M. Malyshev, “On a generating system of a symmetrical group”, Tr. Diskr. Mat., 9, Gelios APB, Moscow, 2006, 110–120  mathnet

   2005
72. F. M. Malyshev, “Generation of uniform distribution robust to nonequiprobability of the initial digits”, Discrete Math. Appl., 15:6 (2005), 581–589  mathnet  crossref  crossref  mathscinet  zmath  elib

   2004
73. F. M. Malyshev, “Inheritance of some properties of generating families by a substitution group”, Tr. Diskr. Mat., 8, Fizmatlit, Moscow, 2004, 155–175  mathnet
74. F. M. Malyshev, E. V. Kutyreva, “On a property of the Boolean analogs of Pascal triangle”, Proceedings of the 4th All-Russian Symposium on Applied and Industrial Mathematics, 2004, 245–246

   2003
75. F. M. Malyshev, “Cryptography and mathematics”, Mathematics and practice, mathematics and culture, M., 2003, 30–33
76. F. M. Malyshev, “Robust simulation of uniform distribution on the combinatorial objects”, Bulletin of ICSI, 2003

   2001
77. F. M. Malyshev, V. E. Tarakanov, “On $(v,k)$-configurations”, Sb. Math., 192:9 (2001), 1341–1364  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus

   1997
78. F. M. Malyshev, V. E. Tarakanov, “Generalized de Bruijn graphs”, Math. Notes, 62:4 (1997), 449–456  mathnet  crossref  crossref  mathscinet  zmath  isi
79. F. M. Malyshev, “An optimization problem for the Brunn–Minkowski inequality”, Proc. Steklov Inst. Math., 218 (1997), 257–260  mathnet  mathscinet  zmath

   1981
80. F. M. Malyshev, “Compact complex uniform spaces with the finite fundamental group”, Proceedings of I.G. Petrovsky seminar, 7, MSU Press, Moscow, 1981, 228–231  mathscinet

   1980
81. F. M. Malyshev, “Decompositions of root systems”, Math. Notes, 27:6 (1980), 418–421  mathnet  crossref  mathscinet  zmath  isi
82. F. M. Malyshev, “Simplexial systems of linear equations”, Algebra, MSU Press, Moscow, 1980, 53–56  zmath
83. F. M. Malyshev, “On the nilpotency class of Lie algebras satisfying the Engel condition”, Bulletin of MSU, mech.-math., 2 (1980), 55–58  mathscinet  zmath
84. F. M. Malyshev, “Complete complex structures on homogeneous spaces of semisimple Lie groups”, Math. USSR-Izv., 15:3 (1980), 501–522  mathnet  crossref  mathscinet  zmath  isi

   1978
85. F. M. Malyshev, “Decompositions of nilpotent Lie algebras”, Math. Notes, 23:1 (1978), 17–18  mathnet  crossref  mathscinet  zmath

   1977
86. F. M. Malyshev, “Complex homogeneous spaces of semisimple Lie groups of type $D_n$”, Math. USSR-Izv., 11:4 (1977), 783–805  mathnet  crossref  mathscinet  zmath
87. F. M. Malyshev, “Decompositions of root systems”, Uspekhi Mat. Nauk, 32:4(196) (1977), 261–262  mathnet  mathscinet  zmath
88. F. M. Malyshev, “On closed subsets of roots and cohomology of regular subalgebras”, Math. USSR-Sb., 33:1 (1977), 125–135  mathnet  crossref  mathscinet  zmath  isi
89. F. M. Malyshev, On the classification of the complex uniform spaces of the semisimple Lie groups, Candidate thesis, MIAN, M., 1977

   1976
90. F. M. Malyshev, “Complex homogeneous spaces of the Lie group $SO(2k+1,2l+1)$”, Math. USSR-Izv., 10:4 (1976), 763–782  mathnet  crossref  mathscinet  zmath
91. F. M. Malyshev, “Classification of two-dimensional algebras”, Geometry, v. 5, Gertsen LGPI, 1976, 87–93

   1975
92. F. M. Malyshev, “Complex homogeneous spaces of semisimple Lie groups of the first category”, Math. USSR-Izv., 9:5 (1975), 939–949  mathnet  crossref  mathscinet  zmath
93. F. M. Malyshev, “The decomposition of almost compact Lie algebras”, Bulletin of MSU, mech.-math., 2 (1975), 87–90  zmath

   1974
94. F. M. Malyshev, “Local decompositions of pseudo-orthogonal groups”, Math. Notes, 16:4 (1974), 969–974  mathnet  crossref  mathscinet  zmath


© Steklov Math. Inst. of RAS, 2026