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Deundyak Vladimir Mikhailovich

Publications in Math-Net.Ru

  1. The attackers power boundaries for traceability of algebraic geometric codes on special curves

    Prikl. Diskr. Mat., 2021, no. 53,  55–74
  2. A graph-theoretical method for decoding some group MLD-codes

    Diskretn. Anal. Issled. Oper., 27:2 (2020),  17–42
  3. Channel-network cascade for packet and symbol erasures in binary linear network

    J. Comp. Eng. Math., 7:2 (2020),  3–14
  4. On the properties of algebraic geometric codes as copy protection codes

    Model. Anal. Inform. Sist., 27:1 (2020),  22–38
  5. Relationship between Codes and Idempotents in a Dihedral Group Algebra

    Mat. Zametki, 107:2 (2020),  178–194
  6. On some properties of the Schur — Hadamard product for linear codes and their applications

    Prikl. Diskr. Mat., 2020, no. 50,  72–86
  7. Fredholm Property of Integral Operators with Homogeneous Kernels of Compact Type in the $L_2$ Space on the Heisenberg Group

    Trudy Mat. Inst. Steklova, 308 (2020),  167–180
  8. Symbolic calculation and invertibility of convolution operators on the infinite dihedral group

    Mathematical Physics and Computer Simulation, 23:3 (2020),  60–75
  9. On soft solutions decoder for Reed–Muller binary codes of the second order

    Vestn. YuUrGU. Ser. Vych. Matem. Inform., 9:2 (2020),  55–67
  10. The structure of finite group algebra of a semidirect product of abelian groups and its applications

    Chebyshevskii Sb., 20:3 (2019),  107–123
  11. Key distribution system based on Hadamard designs

    Model. Anal. Inform. Sist., 26:2 (2019),  229–243
  12. Projection method for solving equations for multidimensional operators with anisotropically homogeneous kernels of compact type

    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 29:2 (2019),  153–165
  13. The use of the direct sum decomposition algorithm for analyzing the strength of some McEliece type cryptosystems

    Vestnik YuUrGU. Ser. Mat. Model. Progr., 12:3 (2019),  89–101
  14. On the Berger–Loidreau cryptosystem on the tensor product of codes

    J. Comp. Eng. Math., 5:2 (2018),  16–33
  15. Codes in dihedral group algebra

    Model. Anal. Inform. Sist., 25:2 (2018),  232–245
  16. The invertibility of integral operators with homogeneous kernels of compact type on the heisenberg group

    Mathematical Physics and Computer Simulation, 21:3 (2018),  5–18
  17. Fourier method for solving two-sided convolution equations on finite noncommutative groups

    Zh. Vychisl. Mat. Mat. Fiz., 58:10 (2018),  1616–1626
  18. Decoding the tensor product of $ \mathrm{MLD} $ codes and applications for code cryptosystems

    Model. Anal. Inform. Sist., 24:2 (2017),  239–252
  19. Cryptosystem based on induced group codes

    Model. Anal. Inform. Sist., 23:2 (2016),  137–152
  20. On correctness conditions of a soft-decisions decoder for ternary Reed–Muller codes of second order

    Vladikavkaz. Mat. Zh., 18:4 (2016),  23–33
  21. Algorithms for majority decoding of group codes

    Model. Anal. Inform. Sist., 22:4 (2015),  464–482
  22. Analysis of properties of $q$-ary Reed–Muller error-correcting codes viewed as codes for copyright protection

    Probl. Peredachi Inf., 51:4 (2015),  99–111
  23. The boundedness and the Fredholm property of integral operators with anisotropically homogeneous kernels of compact type and variable coefficients

    Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 7,  3–17
  24. On the Firmness Code Noising to the Statistical Analysis of the Observable Data of Repeated Repetition

    Model. Anal. Inform. Sist., 19:4 (2012),  110–127
  25. Topological methods in solvability theory of multidimensional pair integral operators with homogeneous kernels of compact type

    Trudy Mat. Inst. Steklova, 278 (2012),  59–67
  26. Research of applying bounds of the information protection scheme based on PS-codes

    Diskretn. Anal. Issled. Oper., 18:3 (2011),  21–38
  27. Multidimensional Integral Operators with Homogeneous Kernels of Compact Type and Multiplicatively Weakly Oscillating Coefficients

    Mat. Zametki, 87:5 (2010),  704–720
  28. Discrete convolution operators with discontinuous symbols

    Izv. Vyssh. Uchebn. Zaved. Mat., 2007, no. 8,  74–76
  29. On the Algebra of Multidimensional Integral Operators with Homogeneous $SO(n)$-Invariant Kernels and Weakly Radially Oscillating Coefficients

    Mat. Zametki, 82:2 (2007),  163–176
  30. On the index of multidimensional integral operators with bihomogeneous kernels and variable coefficients

    Izv. Vyssh. Uchebn. Zaved. Mat., 2005, no. 3,  3–12
  31. Application of Nikol'skii ideals to the investigation of the solvability of bisingular integral operators

    Izv. Vyssh. Uchebn. Zaved. Mat., 2004, no. 9,  85–87
  32. On the index and homotopic classification of families of singular operators with a dihedral shift group and $PC$-coefficients

    Izv. Vyssh. Uchebn. Zaved. Mat., 2002, no. 11,  71–74
  33. On the structure of algebras of singular integral operators with shift in weighted spaces, and the calculation of the index of families

    Izv. Vyssh. Uchebn. Zaved. Mat., 2000, no. 5,  68–71
  34. Nikol'skii ideals and their application to the study of algebras of singular integral operators

    Algebra i Analiz, 11:2 (1999),  88–108
  35. A local method in pairs of $L_p$-spaces, and the index

    Dokl. Akad. Nauk, 349:5 (1996),  592–595
  36. Homotopic classification and calculation of the index of families of multidimensional bisingular integral operators

    Izv. Vyssh. Uchebn. Zaved. Mat., 1996, no. 5,  34–46
  37. The index of families of Noether singular and bisingular integral operators with piecewise-continuous coefficients on complex contours

    Dokl. Akad. Nauk, 338:2 (1994),  158–161
  38. A Criterion for the Weighted Cauchy Singular Operator to Belong to the Algebra of Singular Integral Operators with Coefficients in a Sarason Algebra

    Funktsional. Anal. i Prilozhen., 28:4 (1994),  80–82
  39. Homotopic classification of families of Noether singular operators with piecewise-continuous coefficients on a complex contour

    Dokl. Akad. Nauk, 329:5 (1993),  540–542
  40. Ideals of a Banach Algebra of Singular Integral Operators with Piecewise Continuous Coefficients in the Space $L_p$

    Funktsional. Anal. i Prilozhen., 27:4 (1993),  69–71
  41. Structure of algebras of singular integral operators in weighted $L_p$-spaces on the circle

    Izv. Vyssh. Uchebn. Zaved. Mat., 1993, no. 2,  84–87
  42. The index of families of convolution operators on abelian groups

    Sibirsk. Mat. Zh., 31:1 (1990),  70–78
  43. Symbols and a homotopy classification of families of one-dimensional singular operators with piecewise-continuous coefficients

    Izv. Vyssh. Uchebn. Zaved. Mat., 1988, no. 12,  17–27
  44. Homotopic classification of families of one-dimensional singular operators with piecewise continuous coefficients

    Dokl. Akad. Nauk SSSR, 289:3 (1986),  521–524
  45. Index of convolution operators with slowly varying coefficients on Abelian groups

    Funktsional. Anal. i Prilozhen., 19:4 (1985),  84–85
  46. Homotopy properties of the set of noetherian elements of the $C^*$-algebra of multidimensional generalized Toeplitz operators

    Funktsional. Anal. i Prilozhen., 14:3 (1980),  79–80
  47. Computation of the homotopy groups of the set of invertible elements of certain $C^*$-algebras of operators, and applications

    Uspekhi Mat. Nauk, 35:3(213) (1980),  174–178
  48. Homotopic classification of noetherian systems of multidimensional bisingular integral operators

    Mat. Zametki, 25:6 (1979),  857–869
  49. Calculation of the index of families of multidimensional discrete-continual convolution operators

    Sibirsk. Mat. Zh., 20:4 (1979),  708–716
  50. Homotopic classification of noetherian systems of singular and bisingular integral operators with discontinuous coefficients

    Funktsional. Anal. i Prilozhen., 12:3 (1978),  76–77

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