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Tokareva, Natalia Nikolaevna

Total publications: 32 (31)
in MathSciNet: 12 (12)
in zbMATH: 12 (12)
in Web of Science: 6 (6)
in Scopus: 9 (9)
Cited articles: 24
Citations in Math-Net.Ru: 78
Citations in Web of Science: 15
Citations in Scopus: 37
Presentations: 1

Number of views:
This page:2885
Abstract pages:7266
Full texts:2708
References:706
Senior Researcher
Candidate of physico-mathematical sciences (2008)
Speciality: 01.01.09 (Discrete mathematics and mathematical cybernetics)
E-mail:
Website: http://www.math.nsc.ru/~tokareva
Keywords: Boolean functions, cryptology.

Subject:

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. www.math.nsc.ru/~tokareva/lib/crypto-online.pdf
  • 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. www.math.nsc.ru/~tokareva/mon/11-lap-book.pdf

http://www.mathnet.ru/eng/person25259
List of publications on Google Scholar
List of publications on ZentralBlatt

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



   2018
1. 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: 1)  crossref
2. 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

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

   2015
4. 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
5. 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: 4)  crossref  elib (cited: 1)

   2014
6. 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)
7. N. N. Tokareva, “On decomposition of a Boolean function into sum of bent functions”, Sib. elektron. matem. izv., 11 (2014), 745–751  mathnet  elib
8. 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

   2013
9. 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

   2012
10. N. N. Tokareva, “On decomposition of a Boolean function into sum of bent functions”, Prikl. Diskr. Mat. Suppl., 2012, no. 5, 30  mathnet
11. N. Tokareva, “Duality between bent functions and affine functions”, Discrete Mathematics, 312 (2012), 666-670  crossref  mathscinet  zmath  isi (cited: 3)  elib (cited: 2)
12. N. N. Tokareva, Simmetrichnaya kriptografiya. Kratkii kurs, Novosibirskii gosudarstvennyi universitet, Novosibirsk, 2012 , 234 pp. math.nsc.ru/~tokareva/lib/crypto-online.pdf
13. N. N. Tokareva, “On the history of cryptography in Russia”, Prikl. Diskr. Mat., 2012, no. 4, 82–107  mathnet
14. 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)

   2011
15. N. N. Tokareva, “Hypotheses for the number of bent functions”, Prikl. Diskr. Mat., 2011, no. supplement № 4, 21–23  mathnet
16. 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: 11)
17. 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
18. 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: 24)

   2010
19. 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: 4)
20. N. N. Tokareva, “A new combinatorial construction of bent functions”, Prikl. Diskr. Mat., 2010, no. supplement № 3, 13–14  mathnet

   2009
21. N. N. Tokareva, “Bent functions and their generalizations”, Prikl. Diskr. Mat., 2009, no. supplement № 2, 5–17  mathnet
22. P. Solé, N. N. Tokareva, “On Quaternary and Binary Bent Functions”, PDM, 2009, no. prilozhenie № 1, 16–18  mathnet (cited: 4)
23. N. N. Tokareva, “Bent functions: results and applications. A survey”, Prikl. Diskr. Mat., 2009, no. 1, 15–37  mathnet  elib
24. 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)

   2008
25. 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
26. 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: 3)
27. 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  elib  scopus (cited: 1)
28. N. N. Tokareva, J. Appl. Industr. Math., 2:4 (2008), 566–584  mathnet  crossref  zmath  elib (cited: 1)  elib (cited: 1)  scopus (cited: 1)
29. N. N. Tokareva, J. Appl. Industr. Math., 2:3 (2008), 426–431  mathnet  crossref  mathscinet  zmath  elib  elib  scopus

   2007
30. 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)

   2005
31. 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)

   2004
32. 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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