Tokareva, Natalia Nikolaevna

Total publications: 41 (39)
in MathSciNet: 13 (13)
in zbMATH: 12 (12)
in Web of Science: 10 (10)
in Scopus: 13 (12)
Cited articles: 26
Citations in Math-Net.Ru: 112
Citations in Web of Science: 32
Citations in Scopus: 88
Presentations: 1

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This page:3488
Abstract pages:8864
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Senior Researcher
Candidate of physico-mathematical sciences (2008)
Speciality: 01.01.09 (Discrete mathematics and mathematical cybernetics)
Keywords: Boolean functions, cryptology.


Boolean functions in cryptography and coding theory.

Main publications:
  • Tokareva N.N. Symmetric cryptography. A short course // Novosibirsk State University, 2012. ISBN: 978-5-4437-0067-0. 234 p., in Russian.
  • Tokareva N. N. Nonlinear Boolean functions: bent functions and their generalizations // LAP LAMBERT Academic Publishing (Saarbrucken, Germany), 2011. ISBN: 978-3-8433-0904-2. 180 pages, in Russian.
List of publications on Google Scholar
List of publications on ZentralBlatt

Full list of publications:
| scientific publications | by years | by types | by times cited in WoS | by times cited in Scopus | common list |

1. N. N. Tokareva, A. S. Shaporenko, P. Solé, “Connections between quaternary and Boolean bent functions”, Sib. elektron. matem. izv., 18:1 (2021), 561–578  mathnet  crossref  isi;
2. 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  mathnet  crossref
3. 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  mathnet  crossref

4. A. V. Kutsenko, N. N. Tokareva, “Metrical properties of the set of bent functions in view of duality”, PDM, 2020, no. 49, 18–34  mathnet  crossref  isi;
5. 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  mathnet  crossref
6. 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  mathnet  crossref  elib;
7. 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  mathnet  crossref;
8. 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  mathnet  crossref;
9. 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  mathnet  crossref  crossref  scopus

10. 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  mathnet (cited: 8)  crossref  isi  elib
11. A. A. Belousova, V. I. Nobeleva, N. N. Tokareva, “On codes used in biometrical cryptosystems”, Prikl. Diskr. Mat. Suppl., 2018, no. 11, 105–106  mathnet  crossref  elib

12. N. N. Tokareva, “On the set of derivatives of a Boolean bent function”, Prikl. Diskr. Mat. Suppl., 2016, no. 9, 35  mathnet  crossref

13. N. N. Tokareva, “NSUCRYPTO – a student's olympiad in cryptography: an idea, realization and results”, Prikl. Diskr. Mat. Suppl., 2015, no. 8, 74–75  mathnet  crossref
14. 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  mathnet (cited: 7)  crossref  isi (cited: 4)  elib (cited: 1)

15. 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  mathnet (cited: 1)
16. N. N. Tokareva, “On decomposition of a Boolean function into sum of bent functions”, Sib. elektron. matem. izv., 11 (2014), 745–751  mathnet (cited: 1)  elib
17. N. N. Tokareva, “On decomposition of a dual bent function into sum of two bent functions”, Prikl. Diskr. Mat., 2014, no. 4, 59–61  mathnet  elib

18. 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  mathnet

19. N. N. Tokareva, “On decomposition of a Boolean function into sum of bent functions”, Prikl. Diskr. Mat. Suppl., 2012, no. 5, 30  mathnet
20. N. Tokareva, “Duality between bent functions and affine functions”, Discrete Mathematics, 312 (2012), 666-670  crossref  mathscinet  zmath  isi (cited: 8)  elib (cited: 2)  scopus (cited: 12)
21. N. N. Tokareva, Simmetrichnaya kriptografiya. Kratkii kurs, Novosibirskii gosudarstvennyi universitet, Novosibirsk, 2012 , 234 pp.
22. N. N. Tokareva, “On the history of cryptography in Russia”, Prikl. Diskr. Mat., 2012, no. 4, 82–107  mathnet
23. 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  mathnet  crossref  mathscinet  zmath  elib  scopus (cited: 2)

24. N. N. Tokareva, “Hypotheses for the number of bent functions”, Prikl. Diskr. Mat., 2011, no. supplement № 4, 21–23  mathnet  mathscinet
25. N. Tokareva, “On the number of bent functions from iterative constructions: lower bounds and hypothesis”, Adv. Math. Commun., 5:4 (2011), 609–621  crossref  mathscinet  zmath  isi (cited: 18)  elib  scopus (cited: 20)
26. N. N. Tokareva, Nelineinye bulevy funktsii: bent-funktsii i ikh obobscheniya, LAP LAMBERT Academic Publishing, Saarbrucken, Germany, 2011 , 180 pp.
27. N. N. Tokareva, “Generalizations of bent functions”, J. Appl. Industr. Math., 5:1 (2011), 110–129  mathnet  crossref  mathscinet  zmath  isi  elib (cited: 14)  elib (cited: 14)  scopus (cited: 35)

28. N. N. Tokareva, “The group of automorphisms of the set of bent functions”, Discrete Math. Appl., 20:5-6 (2010), 655–664  mathnet  crossref  crossref  mathscinet  elib  scopus (cited: 8)
29. N. N. Tokareva, “A new combinatorial construction of bent functions”, Prikl. Diskr. Mat., 2010, no. supplement № 3, 13–14  mathnet

30. N. N. Tokareva, “Bent functions and their generalizations”, Prikl. Diskr. Mat., 2009, no. supplement № 2, 5–17  mathnet
31. P. Solé, N. N. Tokareva, “On Quaternary and Binary Bent Functions”, PDM, 2009, no. prilozhenie № 1, 16–18  mathnet (cited: 9)
32. N. N. Tokareva, “Bent functions: results and applications. A survey”, Prikl. Diskr. Mat., 2009, no. 1, 15–37  mathnet  elib
33. N. N. Tokareva, “Description of $k$-bent functions in four variables”, J. Appl. Industr. Math., 3:2 (2009), 284–289  mathnet  crossref  mathscinet  zmath  elib (cited: 1)  elib (cited: 1)  scopus (cited: 1)

34. 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  mathnet  elib
35. N. N. Tokareva, “On Quadratic Approximations in Block Ciphers”, Problems Inform. Transmission, 44:3 (2008), 266–286  mathnet  crossref  mathscinet  zmath  isi  elib (cited: 3)  elib (cited: 3)  scopus (cited: 4)
36. F. I. Solov'eva, N. N. Tokareva, “Distance regularity of Kerdock codes”, Siberian Math. J., 49:3 (2008), 539–548  mathnet  crossref  mathscinet  zmath  isi (cited: 1)  elib  scopus (cited: 1)
37. N. N. Tokareva, J. Appl. Industr. Math., 2:4 (2008), 566–584  mathnet  crossref  mathscinet  zmath  elib (cited: 1)  elib (cited: 1)  scopus (cited: 1)
38. N. N. Tokareva, J. Appl. Industr. Math., 2:3 (2008), 426–431  mathnet  crossref  mathscinet  zmath  elib  elib  scopus

39. F. I. Solov'eva, N. N. Tokareva, “On distance nonregularity of Preparata codes”, Siberian Math. J., 48:2 (2007), 327–333  mathnet  crossref  mathscinet  zmath  isi (cited: 1)  elib  scopus (cited: 1)

40. N. N. Tokareva, “Representation of $\mathbb Z_4$-Linear Preparata Codes by Means of Vector Fields”, Problems Inform. Transmission, 41:2 (2005), 113–124  mathnet  crossref  mathscinet  zmath  elib (cited: 2)  elib (cited: 2)  scopus (cited: 3)

41. N. N. Tokareva, “On Components of Preparata Codes”, Problems Inform. Transmission, 40:2 (2004), 159–164  mathnet  crossref  mathscinet  zmath

Presentations in Math-Net.Ru
1. Булевы функции и криптография
N. N. Tokareva
Day of Mathematics and Mechanics. IV Internet-Videoconference, Dedicated to Young Scientists-Mathematicians
September 15, 2014 10:15

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