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 2025 |
| 1. |
N. N. Tokareva, “Facet form for Boolean functions and its relation to the bent decomposition problem”, Prikl. Diskr. Mat. Suppl., 2025, no. 18, 102–105   |
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| 2024 |
| 2. |
E. S. Malygina, A. V. Kutsenko, S. A. Novoselov, N. S. Kolesnikov, A. O. Bakharev, I. S. Khilchuk, A. S. Shaporenko, N. N. Tokareva, “Post-quantum cryptosystems: open problems and current solutions. Isogeny-based and code-based cryptosystems”, J. Appl. Industr. Math., 18:1 (2024), 103–121 |
| 3. |
N. N. Tokareva, “Ten years of the International Olympiad in Cryptography NSUCRYPTO”, Prikl. Diskr. Mat. Suppl., 2024, no. 17, 117–118 |
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| 2023 |
| 4. |
E. S. Malygina, A. V. Kutsenko, S. A. Novoselov, N. S. Kolesnikov, A. O. Bakharev, I. S. Khilchuk, A. S. Shaporenko, N. N. Tokareva, “Main approaches in post-quantum cryptography: description, a comparative study”, Prikl. Diskr. Mat. Suppl., 2023, no. 16, 58–65 |
| 5. |
D. A. Zyubina, N. N. Tokareva, “$\mathrm{S}$-blocks of a special type with a small number of variables”, J. Appl. Industr. Math., 17:2 (2023), 451–457 |
| 6. |
V. A. Idrisova, N. N. Tokareva, A. A. Gorodilova, I. I. Beterov, T. A. Bonich, E. A. Ishchukova, N. A. Kolomeets, A. V. Kutsenko, E. S. Malygina, I. A. Pankratova, M. A. Pudovkina, A. N. Udovenko, “Mathematical problems and solutions of the Ninth International Olympiad in Cryptography NSUCRYPTO”, PDM, 2023, no. 62, 29–54 ;
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1
[x]
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| 7. |
T. A. Bonich, M. A. Panferov, N. N. Tokareva, “On the number of $\ell$-suitable Boolean functions in constructions of filter and combining models of stream ciphers”, PDM, 2023, no. 62, 21–28 ; |
| 8. |
E. S. Malygina, A. V. Kutsenko, S. A. Novoselov, N. S. Kolesnikov, A. O. Bakharev, I. S. Khilchuk, A. S. Shaporenko, N. N. Tokareva, “Post-quantum cryptosystems: open problems and solutions. Lattice-based cryptosystems”, J. Appl. Industr. Math., 17:4 (2023), 767–790 |
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| 2022 |
| 9. |
N. N. Tokareva, “A quadratic part of a bent function can be any”, Sib. elektron. matem. izv., 19:1 (2022), 342–347  ; ; |
| 10. |
I. S. Khilchuk, D. A. Zyubina, N. N. Tokareva, “Correlation-immune functions with optimal algebraic immunity”, Prikl. Diskr. Mat. Suppl., 2022, no. 15, 34–40 |
| 11. |
A. A. Gorodilova, N. N. Tokareva, S. V. Agievich, I. I. Beterov, T. Beyne, L. Budaghyan, C. Carlet, S. Dhooghe, V. A. Idrisova, N. A. Kolomeec, A. V. Kutsenko, E. S. Malygina, N. Mouha, M. A. Pudovkina, F. Sica, A. N. Udovenko, “An overview of the Eight International Olympiad in Cryptography “Non-Stop University CRYPTO””, Sib. elektron. matem. izv., 19:1 (2022), 9–37
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5
[x]
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| 2021 |
| 12. |
N. N. Tokareva, A. S. Shaporenko, P. Solé, “Connections between quaternary and Boolean bent functions”, Sib. elektron. matem. izv., 18:1 (2021), 561–578   ;
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1
[x]
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| 13. |
N. Mouha, N. A. Kolomeets, D. A. Ahtyamov, I. A. Sutormin, M. A. Panferov, K. M. Titova, T. A. Bonich, E. A. Ishchukova, N. N. Tokareva, B. F. Zhantulikov, “On properties of additive differential probabilities of XOR”, Prikl. Diskr. Mat. Suppl., 2021, no. 14, 46–48 |
| 14. |
D. A. Zyubina, N. N. Tokareva, “$\mathrm{S}$-blocks with maximum component algebraic immunity on a small number of variables”, Prikl. Diskr. Mat. Suppl., 2021, no. 14, 40–42 ; |
| 15. |
A. A. Gorodilova, N. N. Tokareva, S. V. Agievich, C. Carlet, V. A. Idrisova, K. V. Kalgin, D. N. Kolegov, A. V. Kutsenko, N. Mouha, M. A. Pudovkina, A. N. Udovenko, “The Seventh International Olympiad in Cryptography: problems and solutions”, Sib. elektron. matem. izv., 18:2 (2021), 4–29
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2
[x]
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| 2020 |
| 16. |
A. V. Kutsenko, N. N. Tokareva, “Metrical properties of the set of bent functions in view of duality”, PDM, 2020, no. 49, 18–34 ;
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2
[x]
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| 17. |
A. A. Belousova, N. N. Tokareva, “On differentials for the modification of the cipher Simon based on the Lai — Messi scheme”, Prikl. Diskr. Mat. Suppl., 2020, no. 13, 119–121 |
| 18. |
T. A. Bonich, M. A. Panferov, N. N. Tokareva, “On the number of unsuitable Boolean functions in constructions of filter and combining models of stream ciphers”, PDM. Prilozhenie, 2020, no. 13, 78–80  ;
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1
[x]
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| 19. |
D. A. Zyubina, N. N. Tokareva, “Cryptographic properties of a simple S-box construction based on a Boolean function and a permutation”, PDM. Prilozhenie, 2020, no. 13, 41–43 ;
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1
[x]
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| 20. |
M. M. Zapolskiy, N. N. Tokareva, “On one-to-one property of a vectorial Boolean function of the special type”, PDM. Prilozhenie, 2020, no. 13, 40–41 ; |
| 21. |
A. A. Gorodilova, N. N. Tokareva, S. V. Agievich, C. Carlet, E. V. Gorkunov, V. A. Idrisova, N. A. Kolomeec, A. V. Kutsenko, R. K. Lebedev, S. Nikova, A. K. Oblaukhov, I. A. Pankratova, M. A. Pudovkina, V. Rijmen, A. N. Udovenko, “On the Sixth International Olympiad in Cryptography NSUCRYPTO”, J. Appl. Industr. Math., 14:4 (2020), 623–647 |
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| 2018 |
| 22. |
N. Tokareva, A. Gorodilova, S. Agievich, V. Idrisova, N. Kolomeec, A. Kutsenko, A. Oblaukhov, G. Shushuev, “Mathematical methods in solutions of the problems presented at the Third International Students' Olympiad in Cryptography”, PDM, 2018, no. 40, 34–58
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14
[x]
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| 23. |
A. A. Belousova, V. I. Nobeleva, N. N. Tokareva, “On codes used in biometrical cryptosystems”, Prikl. Diskr. Mat. Suppl., 2018, no. 11, 105–106 |
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| 2016 |
| 24. |
N. N. Tokareva, “On the set of derivatives of a Boolean bent function”, Prikl. Diskr. Mat. Suppl., 2016, no. 9, 35 |
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| 2015 |
| 25. |
N. N. Tokareva, “NSUCRYPTO – a student's olympiad in cryptography: an idea, realization and results”, Prikl. Diskr. Mat. Suppl., 2015, no. 8, 74–75 |
| 26. |
S. V. Agievich, A. A. Gorodilova, N. A. Kolomeets, S. Nikova, B. Prenel, V. Rijmen, G. I. Shushuev, N. N. Tokareva, V. A. Vitkup, “Problems, solutions and experience of the first international student's Olympiad in cryptography”, PDM, 2015, no. 3, 41–62
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11
[x]
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| 2014 |
| 27. |
N. N. Tokareva, “Every cubic Boolean function in 8 variables is the sum of not more than 4 bent functions”, PDM. Prilozhenie, 2014, no. 7, 38–39
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1
[x]
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| 28. |
N. N. Tokareva, “On decomposition of a Boolean function into sum of bent functions”, Sib. elektron. matem. izv., 11 (2014), 745–751
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1
[x]
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| 29. |
N. N. Tokareva, “On decomposition of a dual bent function into sum of two bent functions”, Prikl. Diskr. Mat., 2014, no. 4, 59–61 |
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| 2013 |
| 30. |
N. N. Tokareva, “Simple proof for the strong regularity of the Cayley graph of bent function”, Prikl. Diskr. Mat. Suppl., 2013, no. 6, 89–90 |
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| 2012 |
| 31. |
N. N. Tokareva, “On decomposition of a Boolean function into sum of bent functions”, Prikl. Diskr. Mat. Suppl., 2012, no. 5, 30 |
| 32. |
N. Tokareva, “Duality between bent functions and affine functions”, Discrete Mathematics, 312 (2012), 666-670 
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10
[x]
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| 33. |
N. N. Tokareva, Simmetrichnaya kriptografiya. Kratkii kurs, Novosibirskii gosudarstvennyi universitet, Novosibirsk, 2012, 234 pp. math.nsc.ru/~tokareva/lib/crypto-online.pdf |
| 34. |
N. N. Tokareva, “On the history of cryptography in Russia”, Prikl. Diskr. Mat., 2012, no. 4, 82–107 |
| 35. |
S. A. Kiselev, N. N. Tokareva, “On reduction of key space of the cipher A5/1 and on reversibility of the next-state function for a stream generator”, J. Appl. Industr. Math., 6:2 (2012), 194–202 |
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| 2011 |
| 36. |
N. N. Tokareva, “Hypotheses for the number of bent functions”, Prikl. Diskr. Mat., 2011, no. supplement № 4, 21–23 |
| 37. |
N. Tokareva, “On the number of bent functions from iterative constructions: lower bounds and hypothesis”, Adv. Math. Commun., 5:4 (2011), 609–621
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39
[x]
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| 38. |
N. N. Tokareva, Nelineinye bulevy funktsii: bent-funktsii i ikh obobscheniya, LAP LAMBERT Academic Publishing, Saarbrucken, Germany, 2011, 180 pp. www.math.nsc.ru/~tokareva/mon/11-lap-book.pdf |
| 39. |
N. N. Tokareva, “Generalizations of bent functions”, J. Appl. Industr. Math., 5:1 (2011), 110–129 |
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| 2010 |
| 40. |
N. N. Tokareva, “The group of automorphisms of the set of bent functions”, Discrete Math. Appl., 20:5-6 (2010), 655–664 |
| 41. |
N. N. Tokareva, “A new combinatorial construction of bent functions”, Prikl. Diskr. Mat., 2010, no. supplement № 3, 13–14 |
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| 2009 |
| 42. |
N. N. Tokareva, “Bent functions and their generalizations”, Prikl. Diskr. Mat., 2009, no. supplement № 2, 5–17 |
| 43. |
P. Solé, N. N. Tokareva, “On Quaternary and Binary Bent Functions”, PDM, 2009, no. prilozhenie № 1, 16–18
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12
[x]
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| 44. |
N. N. Tokareva, “Bent functions: results and applications. A survey”, Prikl. Diskr. Mat., 2009, no. 1, 15–37 |
| 45. |
N. N. Tokareva, “Description of $k$-bent functions in four variables”, J. Appl. Industr. Math., 3:2 (2009), 284–289 |
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| 2008 |
| 46. |
N. N. Tokareva, “Quadratic approximations of the special type for the 4-bit permutations in S-boxes”, Prikl. Diskr. Mat., 2008, no. 1, 50–54 |
| 47. |
N. N. Tokareva, “On Quadratic Approximations in Block Ciphers”, Problems Inform. Transmission, 44:3 (2008), 266–286 |
| 48. |
F. I. Solov'eva, N. N. Tokareva, “Distance regularity of Kerdock codes”, Siberian Math. J., 49:3 (2008), 539–548 |
| 49. |
N. N. Tokareva, J. Appl. Industr. Math., 2:4 (2008), 566–584 |
| 50. |
N. N. Tokareva, J. Appl. Industr. Math., 2:3 (2008), 426–431 |
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| 2007 |
| 51. |
F. I. Solov'eva, N. N. Tokareva, “On distance nonregularity of Preparata codes”, Siberian Math. J., 48:2 (2007), 327–333 |
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| 2005 |
| 52. |
N. N. Tokareva, “Representation of $\mathbb Z_4$-Linear Preparata Codes by Means of Vector Fields”, Problems Inform. Transmission, 41:2 (2005), 113–124 |
| 53. |
N. N. Tokareva, “Representation of $\mathbb Z_4$-Linear Preparata Codes by Means of Vector Fields”, Problems Inform. Transmission, 41:2 (2005), 113–124 |
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| 2004 |
| 54. |
N. N. Tokareva, “On Components of Preparata Codes”, Problems Inform. Transmission, 40:2 (2004), 159–164 |
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