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Nechaev Aleksandr Aleksandrovich

Publications in Math-Net.Ru

  1. Artinian bimodule with quasi-Frobenius bimodule of translations

    Diskr. Mat., 29:3 (2017),  70–91
  2. Nonassociative algebraic structures in cryptography and coding

    Fundam. Prikl. Mat., 21:4 (2016),  99–124
  3. A generalization of Ore's theorem on irreducible polynomials over a finite field

    Diskr. Mat., 27:1 (2015),  108–110
  4. Cryptographic algorithms on groups and algebras

    Fundam. Prikl. Mat., 20:1 (2015),  205–222
  5. Comparing finite Abelian groups from the standpoint of their cryptographic applications

    Fundam. Prikl. Mat., 20:1 (2015),  9–16
  6. Application of non-associative groupoids to the realization of an open key distribution procedure

    Diskr. Mat., 26:3 (2014),  45–64
  7. Cyclic types of families of polylinear recurrent sequences and generators of pseudorandom numbers

    Mat. Vopr. Kriptogr., 5:1 (2014),  95–125
  8. Nonlinear permutations of a space over a finite field induced by linear transformations of a module over a Galois ring

    Mat. Vopr. Kriptogr., 4:2 (2013),  81–100
  9. Skew LRS of maximal period over Galois rings

    Mat. Vopr. Kriptogr., 4:2 (2013),  59–72
  10. Ideal representations of Reed–Solomon and Reed–Muller codes

    Algebra Logika, 51:3 (2012),  297–320
  11. Skew linear recurring sequences of maximal period over Galois rings

    Fundam. Prikl. Mat., 17:3 (2012),  5–23
  12. When are all group codes of a noncommutative group Abelian (a computational approach)?

    Fundam. Prikl. Mat., 17:2 (2012),  75–85
  13. Reconstruction of a linear recurrence of maximal period over a Galois ring from its highest coordinate sequence

    Diskr. Mat., 23:2 (2011),  3–31
  14. An algorithm to restore a linear recurring sequence over the ring $R=\mathbf Z_{p^n}$ from a linear complication of its highest coordinate sequence

    Diskr. Mat., 22:4 (2010),  104–120
  15. Reconstruction of linear recurrent sequence over prime residue ring from its image

    Mat. Vopr. Kriptogr., 1:2 (2010),  31–56
  16. Pseudogeometries with clusters and an example of a recursive $[4,2,3]_{42}$-code

    Fundam. Prikl. Mat., 14:4 (2008),  181–192
  17. Bent and Hyper-bent Functions over a Field of $2^l$ Elements

    Probl. Peredachi Inf., 44:1 (2008),  15–37
  18. Parameters of (hyper-)bent functions over the field of $2^l$ elements

    Tr. Diskr. Mat., 11:1 (2008),  47–59
  19. Bent and hyper-bent functions over the finite field

    Tr. Diskr. Mat., 10 (2007),  97–122
  20. Approximation of Boolean functions by monomial functions

    Diskr. Mat., 18:1 (2006),  9–29
  21. Semirings of cyclic types

    Fundam. Prikl. Mat., 12:2 (2006),  175–192
  22. Finite quasifrobenius bimodules and polylinear shift registers

    Tr. Diskr. Mat., 9 (2006),  164–189
  23. Group codes and their nonassociative generalizations

    Diskr. Mat., 16:1 (2004),  146–156
  24. Solving systems of polynomial equations over Galois–Eisenstein rings with the use of the canonical generating systems of polynomial ideals

    Diskr. Mat., 16:1 (2004),  21–51
  25. Finite Frobenius bimodules in a linear codes theory

    Tr. Diskr. Mat., 8 (2004),  187–215
  26. Nonassociative Galois rings

    Diskr. Mat., 14:4 (2002),  117–132
  27. Quasi-Frobenius bimodules of functions on a semigroup

    Uspekhi Mat. Nauk, 57:6(348) (2002),  167–168
  28. Cyclic families of polylinear recurring sequences over quasi-Frobenius modules

    Uspekhi Mat. Nauk, 57:4(346) (2002),  167–168
  29. Multidimensional shift registers and multisequence complexity

    Tr. Diskr. Mat., 6 (2002),  150–164
  30. Almost uniform linear recurrent sequences over Galois rings and $QF$-modules of characteristic 4

    Tr. Diskr. Mat., 5 (2002),  103–158
  31. A canonical system of generators of a unitary polynomial ideal over a commutative Artinian chain ring

    Diskr. Mat., 13:4 (2001),  3–42
  32. Structural properties of linear recurrent sequences over Galois rings and quasi-Frobenius modules of charasteristic 4

    Tr. Diskr. Mat., 4 (2001),  91–128
  33. The parameters of recursive MDS-codes

    Diskr. Mat., 12:4 (2000),  3–24
  34. Radicals of semiperfect rings related to idempotents

    Fundam. Prikl. Mat., 6:1 (2000),  293–298
  35. Structural, analitical and statistical properties of linear and polylinear recurrent sequences

    Tr. Diskr. Mat., 3 (2000),  155–194
  36. Weighted Modules and Representations of Codes

    Probl. Peredachi Inf., 35:3 (1999),  18–39
  37. Codes and recurrences over finite rings and modules

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1999, no. 5,  18–31
  38. Recursive MDS-codes and recursively differentiable quasigroups

    Diskr. Mat., 10:2 (1998),  3–29
  39. Properties of linear and polylinear recurrent sequences over Galois rings. I

    Tr. Diskr. Mat., 2 (1998),  191–222
  40. Linear codes over finite rings and modules

    Fundam. Prikl. Mat., 3:1 (1997),  195–254
  41. Pseudorandom and polylinear sequences

    Tr. Diskr. Mat., 1 (1997),  139–202
  42. Linear recurrent sequences over Galois rings

    Algebra Logika, 34:2 (1995),  169–189
  43. Linear codes and polylinear recurrences over finite rings and quasi-Frobenius modules

    Dokl. Akad. Nauk, 345:4 (1995),  451–454
  44. Finite quasi-Frobenius modules, applications to codes and linear recurrences

    Fundam. Prikl. Mat., 1:1 (1995),  229–254
  45. Linearly representable codes and the Kerdock code over an arbitrary Galois field of characteristic 2

    Uspekhi Mat. Nauk, 49:5(299) (1994),  165–166
  46. Linear recurrent sequences over quasi-Frobenius modules

    Uspekhi Mat. Nauk, 48:3(291) (1993),  197–198
  47. Linear recursive sequences over Galois rings

    Uspekhi Mat. Nauk, 48:1(289) (1993),  167–168
  48. Cycle types of linear substitutions over finite commutative rings

    Mat. Sb., 184:3 (1993),  21–56
  49. Construction of noise-resistant codes by means of linear recurrences over Galois rings

    Uspekhi Mat. Nauk, 47:5(287) (1992),  183–184
  50. Linear recurrent sequences over commutative rings

    Diskr. Mat., 3:4 (1991),  105–127
  51. Kerdock's code in cyclic form

    Diskr. Mat., 1:4 (1989),  123–139
  52. A characterization of critical finite principal ideal rings

    Uspekhi Mat. Nauk, 37:5(227) (1982),  193–194
  53. Criteria for the completeness of systems of functions on a finite ring and quasi-Frobenius rings

    Sibirsk. Mat. Zh., 23:3 (1982),  175–187
  54. Polynomial transformations of finite commutative local rings of principal ideals

    Mat. Zametki, 27:6 (1980),  885–897
  55. Critical rings and varieties of algebras

    Algebra Logika, 18:3 (1979),  341–347
  56. A basis of generalized identities of a finite commutative local principal ideal ring

    Algebra Logika, 18:2 (1979),  186–193
  57. On a problem in the theory of rings of principal ideals

    Mat. Zametki, 15:5 (1974),  757–763
  58. Finite principal ideal rings

    Mat. Sb. (N.S.), 91(133):3(7) (1973),  350–366
  59. On the structure of finite commutative rings with an identity

    Mat. Zametki, 10:6 (1971),  679–688

  60. V. L. Kurakin (13.05.1966 – 14.08.2010)

    Mat. Vopr. Kriptogr., 2:3 (2011),  111–112

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