Glukhov Mikhail Mikhailovich

Publications in Math-Net.Ru

1. Matrix of transition probabilities of differentials of 8-round Luby — Rackoff scheme
   
   Prikl. Diskr. Mat. Suppl., 2024, no. 17,  79–81
2. On the approximation of discrete functions by linear functions
   
   Mat. Vopr. Kriptogr., 7:4 (2016),  29–50
3. On the word problem in the free quasigroups in the varieties of quasigroups isotopic to groups
   
   Fundam. Prikl. Mat., 20:1 (2015),  39–55
4. On the multiplicative groups of free and free commutative quasigroups
   
   Fundam. Prikl. Mat., 20:1 (2015),  23–37
5. On the matrices of transitions of differences for some modular groups
   
   Mat. Vopr. Kriptogr., 4:4 (2013),  27–47
6. On additivity and affinity coefficients of discrete functions
   
   Diskr. Mat., 24:1 (2012),  30–47
7. On a method of construction of orthogonal quasigroup systems by means of groups
   
   Mat. Vopr. Kriptogr., 2:4 (2011),  5–24
8. On mixing linear transforms for block ciphers
   
   Mat. Vopr. Kriptogr., 2:2 (2011),  5–39
9. On multiplication groups of free and free commutative quasigroups
   
   Chebyshevskii Sb., 11:3 (2010),  63–77
10. An analysis of some key distribution public systems based on non-abelian groups
    
    Mat. Vopr. Kriptogr., 1:4 (2010),  5–22
11. On application of class groups of ideals of quadratic fields to the construction of public key cryptosystems
    
    Mat. Vopr. Kriptogr., 1:1 (2010),  23–54
12. Some applications of quasigroups in cryptography
    
    Prikl. Diskr. Mat., 2008, no. 2(2),  28–32
13. Construction of public key cryptosystems by means of residue rings of integer algebraic numbers
    
    Tr. Diskr. Mat., 10 (2007),  47–72
14. Investigation of residue rings of biquadratic extensions of an integer number ring and public key schemes
    
    Tr. Diskr. Mat., 7 (2003),  31–55
15. On the solution complexity of systems of linear equations over finite commutative chain rings
    
    Tr. Diskr. Mat., 6 (2002),  14–30
16. Injective mappings free of error reproduction
    
    Tr. Diskr. Mat., 4 (2001),  17–32
17. On 2-transitive products of regular permutation groups
    
    Tr. Diskr. Mat., 3 (2000),  37–52
18. Injective mappings of words that do not propagate distortions of letter omission type
    
    Diskr. Mat., 11:2 (1999),  20–39
19. On transformations of a set of words in a finite alphabet that do not propagate distortions
    
    Diskr. Mat., 9:3 (1997),  3–19
20. On some algorithmic problems and free products in $R$-varieties of linear $\Omega$-algebras
    
    Fundam. Prikl. Mat., 3:2 (1997),  373–397
21. On numerical parameters associated with the definition of finite groups by systems of generating elements
    
    Tr. Diskr. Mat., 1 (1997),  43–66
22. Lower bounds for the sums of the characters of polynomials over finite fields
    
    Diskr. Mat., 6:3 (1994),  136–142
23. Special $C$-equivalences of finite one-sided invertible quasigroups
    
    Diskr. Mat., 6:3 (1994),  3–17
24. Classification of quasigroups by the properties of their $T$-partitions
    
    Diskr. Mat., 4:4 (1992),  3–11
25. $T$-partitions of quasigroups and groups
    
    Diskr. Mat., 4:3 (1992),  47–56
26. $\alpha$-closed classes and $\alpha$-complete systems of functions of $k$-valued logic
    
    Diskr. Mat., 1:1 (1989),  16–21
27. Groups of automorphisms of finitely presented quasigroups
    
    Mat. Zametki, 37:5 (1985),  617–626
28. Equations over quasigroups
    
    Sibirsk. Mat. Zh., 18:4 (1977),  755–764
29. Abelian and metabelian groups with regular automorphisms and semiautomorphisms
    
    Mat. Zametki, 12:6 (1972),  727–738
30. On free expansions and algorithmic problems in $R$-varieties of universal algebras
    
    Mat. Sb. (N.S.), 85(127):3(7) (1971),  307–338
31. Free products and algorithmic problems in $R$-varieties of universal algebras
    
    Dokl. Akad. Nauk SSSR, 193:3 (1970),  514–517
32. Lattice theory
    
    Itogi Nauki. Ser. Mat. Algebra. Topol. Geom. 1968, 1970,  101–154
33. A solution of the fundamental algorithmic problems in certain classes of quasigroups with identities
    
    Sibirsk. Mat. Zh., 10:2 (1969),  297–317
34. Algorithmic problems for certain classes of quasigroups
    
    Dokl. Akad. Nauk SSSR, 177:1 (1967),  14–16
35. Algorithmic solvability of the word problem for completely free modular lattices
    
    Sibirsk. Mat. Zh., 5:5 (1964),  1027–1034
36. On a lattice-theoretical theorem of a kind similar to Grushko’s theorem
    
    Dokl. Akad. Nauk SSSR, 138:5 (1961),  994–997
37. On the problem of isomorphism of lattices
    
    Dokl. Akad. Nauk SSSR, 132:2 (1960),  254–256


38. Валентин Федорович Колчин (1934–2016)
    
    Diskr. Mat., 28:4 (2016),  3–5
39. Alexandr Alexandrovich Nechaev (7.8.1945–14.11.2014)
    
    Fundam. Prikl. Mat., 20:1 (2015),  3–7
40. V. L. Kurakin (13.05.1966 – 14.08.2010)
    
    Mat. Vopr. Kriptogr., 2:3 (2011),  111–112
41. Yurii Vasil'evich Prokhorov (on the occasion of his eightieth birthday)
    
    Diskr. Mat., 22:1 (2010),  3–4
42. N. N. Andreev, 31.01.1929–25.12.2006
    
    Diskr. Mat., 19:1 (2007),  3–5
43. In memory of Nikolai Nikolaevich Andreev
    
    Tr. Diskr. Mat., 10 (2007),  5–6
44. On the centenary of the birth of O. Yu. Shmidt
    
    Diskr. Mat., 4:2 (1992),  158–159
45. Letter to editor
    
    Mat. Zametki, 19:6 (1976),  952
46. Поправки к статье “К теоретико-структурной теореме типа теоремы Грушко” (ДАН, т. 138, № 5, 1961 г.)
    
    Dokl. Akad. Nauk SSSR, 143:6 (1962),  1242