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Publications in Math-Net.Ru |
Citations |
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2023 |
| 1. |
V. G. Nikonov, A. I. Zobov, “Construction of a reversible full-cycle transformation in a threshold basis”, Comp. nanotechnol., 10:2 (2023), 36–41  |
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2022 |
| 2. |
I. I. Lapikov, V. G. Nikonov, K. V. Kasyanenko, “4-variable boolean functions representations classification in the form of nonlinearity minimal degree separating surfaces”, Comp. nanotechnol., 9:1 (2022), 56–92 |
| 3. |
V. G. Nikonov, S. A. Kononov, “About some properties of quasi-hadamard matrices defining bijective transformations”, Comp. nanotechnol., 9:1 (2022), 32–38 |
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2021 |
| 4. |
V. G. Nikonov, A. I. Zobov, N. V. Nikonov, “On the complexity of specifying a symmetric group of permutations of degree 2$^{n}$ in a threshold basis on a promising element base”, Comp. nanotechnol., 8:3 (2021), 50–58 |
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2020 |
| 5. |
V. G. Nikonov, A. I. Zobov, “Combinatorial polynomially computable characteristics of substitutions and their properties”, Comp. nanotechnol., 7:2 (2020), 34–41 |
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2019 |
| 6. |
V. G. Nikonov, A. I. Zobov, “Specifications of approximation $k$-value functions and their properties”, Comp. nanotechnol., 6:2 (2019), 77–84  |
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2018 |
| 7. |
V. G. Nikonov, A. I. Zobov, “Geometric approach to estimation of complexity boolean functions”, Comp. nanotechnol., 2018, no. 3, 32–43 |
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2017 |
| 8. |
V. G. Nikonov, A. I. Zobov, “About possibility of using fractal models in data security system construction”, Comp. nanotechnol., 2017, no. 1, 39–49 |
| 9. |
A. V. Burdeliov, V. G. Nikonov, “About the new algoritm of characterization of $k$-valued threshold functions”, Comp. nanotechnol., 2017, no. 1, 7–14 |
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| 10. |
V. G. Nikonov, A. N. Shurupov, “Threshold interpolations in solving nonlinear Boolean equation by method of separating planes”, Prikl. Diskr. Mat. Suppl., 2017, no. 10, 165–168 |
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2016 |
| 11. |
V. G. Nikonov, K. D. Lushnikov, “The usage of equalprobable functions with mutal implicantive covering of straight diameter in the problem of constructing bijective mapping $\Phi:V^r_2 \to V^r_2$”, Comp. nanotechnol., 2016, no. 2, 132–138 |
| 12. |
V. G. Nikonov, D. V. Churov, “Bijective coordinate-forbidden k-valued functions in a problem of synthesis of substitutions”, Comp. nanotechnol., 2016, no. 1, 14–23 |
| 13. |
V. G. Nikonov, V. S. Litvinenko, “About bijectivity of transformations determined by quasi-Hadamard matrixes”, Comp. nanotechnol., 2016, no. 1, 6–13 |
| 14. |
A. V. Burdeljov, V. G. Nikonov, I. I. Lapikov, “Recognizing Parameters of the Information Security Unit Implemented by the Threshold K-Valued Function”, Tr. SPIIRAN, 46 (2016), 108–127 |
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2015 |
| 15. |
V. G. Nikonov, V. S. Litvinenko, “Geometrical approach to the argumentum of bijection of one coordinate-threshold reflection”, Comp. nanotechnol., 2015, no. 4, 26–30 |
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| 16. |
A. V. Burdeliov, V. G. Nikonov, “About construction of analytical definition of k-value threshold function”, Comp. nanotechnol., 2015, no. 2, 5–13 |
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2013 |
| 17. |
M. V. Zaec, V. G. Nikonov, F. B. Shishkov, “A class of functions with coordinate-dependent polynomiality over the ring $\mathbb Z_{2^m}$”, Mat. Vopr. Kriptogr., 4:3 (2013), 21–47 |
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2011 |
| 18. |
V. G. Nikonov, “On the number of significant variables of balanced Boolean function with the fixed number of elementary conjunctions in its DNF”, Mat. Vopr. Kriptogr., 2:4 (2011), 37–47 |
| 19. |
V. G. Nikonov, “On the structure of strictly convex $k$-functions”, Mat. Vopr. Kriptogr., 2:1 (2011), 75–95 |
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2010 |
| 20. |
V. G. Nikonov, A. V. Sarantsev, “On the conplexity of joint realization of Boolean functions regular systems in the DNF basis”, Mat. Vopr. Kriptogr., 1:3 (2010), 45–65 |
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2008 |
| 21. |
V. G. Nikonov, N. V. Nikonov, “Features of threshold representations of $k$-valued functions”, Tr. Diskr. Mat., 11:1 (2008), 60–85 |
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2007 |
| 22. |
V. G. Nikonov, “On the existence of minimal but not shortest disjunctive normal form”, Tr. Diskr. Mat., 10 (2007), 188–201 |
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1994 |
| 23. |
V. G. Nikonov, “Coverings of Boolean graphs”, Diskr. Mat., 6:4 (1994), 21–34   ; Discrete Math. Appl., 4:5 (1994), 433–446 |
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1991 |
| 24. |
V. G. Nikonov, D. S. Shevelev, “Boolean graphs and functions”, Diskr. Mat., 3:4 (1991), 52–61 |
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1979 |
| 25. |
M. G. Kalachev, V. G. Nikonov, “Application of nonlinear filtering methods to problems of estimating the phase coordinates of dynamic plants”, Avtomat. i Telemekh., 1979, no. 12, 71–79 |
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