Full list of publications: |
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Citations (Crossref Cited-By Service + Math-Net.Ru) |
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1. |
A. M. Zubkov, A. A. Serov, “A complete proof of universal inequalities for distribution function of binomial law”, Theory Probab. Appl., 57:3 (2013), 539–544 |
2. |
A. M. Zubkov, A. A. Serov, “Testing the NIST Statistical Test Suite on artificial pseudorandom sequences”, Matem. vopr. kriptogr., 10:2 (2019), 89–96
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A. M. Zubkov, A. A. Serov, “A natural approach to the experimental study of dependence between statistical tests”, Matem. vopr. kriptogr., 12:1 (2021), 131–142 ;
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14
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A. M. Zubkov, A. A. Serov, “Bounds for the number of Boolean functions admitting affine approximations of a given accuracy”, Discrete Math. Appl., 20:5-6 (2010), 467–486 |
5. |
A. M. Zubkov, A. A. Serov, “Images of subset of finite set under iterations of random mappings”, Discrete Math. Appl., 25:3 (2015), 179–185 |
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A. A. Serov, “Formulas for the numbers of sequences containing a given pattern given number of times”, Discrete Math. Appl., 32:4 (2022), 233–245 |
7. |
A. M. Zubkov, A. A. Serov, “Limit theorem for the size of an image of subset under compositions of random mappings”, Discrete Math. Appl., 28:2 (2018), 131–138 |
8. |
A. A. Serov, “Images of a finite set under iterations of two random dependent mappings”, Discrete Math. Appl., 26:3 (2016), 175–181 |
9. |
A. M. Zubkov, A. A. Serov, “Estimates of the mean size of the subset image under composition of random mappings”, Discrete Math. Appl., 28:5 (2018), 331–338 |
10. |
A. M. Zubkov, A. A. Serov, “Experimental study of NIST Statistical Test Suite ability to detect long repetitions in binary sequences”, Matem. vopr. kriptogr., 14:2 (2023), 137–145 ;
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3
[x]
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11. |
A. A. Serov, “Bounds for the number of Boolean functions admitting quadratic approximations of given accuracy”, Discrete Math. Appl., 22:4 (2012), 455–475 |
12. |
A. A. Serov, “Limit distribution of the Hamming distance from the random Boolean function to the set of affine functions”, Theory Probab. Appl., 55:4 (2011), 717–722 |
13. |
A. M. Zubkov, A. A. Serov, “Notes on the independence of tests and on completeness of NIST package”, Computer Data Analysis and Modeling: Stochastics and Data Science, Proc. XIII Int. Conf. (Minsk, September 6–10, 2022), eds. Yu. Kharin et al., Belarusian State University, Minsk, 2022, 241–244 |
14. |
A. M. Zubkov, A. A. Serov, “Moschnost obraza podmnozhestva pri kompozitsii sluchainykh otobrazhenii konechnogo mnozhestva”, Veroyatnostnye metody v diskretnoi matematike, X Mezhdunarodnaya Petrozavodskaya konferentsiya, rasshirennye tezisy (22–26 maya, 2019 g., Petrozavodsk, Rossiya), eds. nauch. red. V. V. Mazalov, otv. red. E. V. Khvorostyanskaya, KarNTs RAN, Petrozavodsk, 2019, 79–81 |
15. |
A. A. Serov, A. M. Zubkov, “Testing the NIST Statistical Test Suite on artificial pseudorandom sequences”, Computer Data Analysis and Modeling: Stochastics and Data Science, Proc. XII Int. Conf. (Minsk, Sept. 18–22, 2019), BSU, Minsk, 2019, 291–294 http://elib.bsu.by/bitstream/123456789/233387/1/291-294.pdf |
16. |
A. A. Serov, A. M. Zubkov, “Two-sided inequalities for the average number of elements in the union of images of finite set under iterations of random equiprobable mappings”, Computer Data Analysis and Modeling. Theoretical and Applied Stochastics, Proceedings of the XI International Conference (Minsk, September 6–10, 2016), Publishing Center of BSU, Minsk, 2016, 55–57 |
17. |
A. M. Zubkov, A. A. Serov, “Dvustoronnie neravenstva dlya srednikh chisel elementov v ob'edineniyakh obrazov konechnogo mnozhestva pri iteratsiyakh sluchainykh ravnoveroyatnykh otobrazhenii”, XVI Vserossiiskii Simpozium po prikladnoi i promyshlennoi matematike (osennyaya otkrytaya sessiya) (Sochi–Dagomys, 27 sentyabrya – 4 oktyabrya 2015 g.), Obzor. prikl. i prom. matem., 22, no. 5, Redaktsiya zhurnala “OPiPM”, Moskva, 2015, 583–585 |
18. |
A. A. Serov, “Mean and variance of the number of subfunctions of random Boolean function which are close to the affine functions set”, Discrete Math. Appl., 27:1 (2017), 23–34 |
19. |
A. M. Zubkov, A. A. Serov, M. V. Filina, “Dvustoronnie neravenstva dlya funktsii binomialnogo raspredeleniya”, Algebra i teoriya chisel: sovremennye problemy i prilozheniya, Materialy XII Mezhdunar. konf., posvyaschennoi 80-letiyu prof. Viktora Nikolaevicha Latysheva (Tula, 21–25 aprelya 2014 g.), Tul. gos. ped. un-ta im. L.N. Tolstogo, Tula, 2014, 27–29 |
20. |
A. A. Serov, “Otsenki ob'emov okrestnostei dvoichnykh kodov v terminakh ikh vesovykh spektrov”, Algebra i teoriya chisel: sovremennye problemy i prilozheniya, Materialy XII Mezhdunar. konf., posvyaschennoi 80-letiyu prof. Viktora Nikolaevicha Latysheva (Tula, 21–25 aprelya 2014 g.), Tul. gos. ped. un-ta im. L.N. Tolstogo, Tula, 2014, 208–210 |
21. |
A. A. Serov, “Raspredelenie i momenty chisla zanyatykh i poseschennykh yacheek v odnoi skheme posledovatelnogo razmescheniya chastits po yacheikam”, XV Vserossiiskii Simpozium po prikladnoi i promyshlennoi matematike (vesennyaya sessiya) (Kislovodsk, 1–8 maya 2014 g.), Obozr. prikl. i prom. matem., 21, no. 1, 2014, 86 http://tvp.ru/conferen/vsppm15/kibso037.pdf |
22. |
A. A. Serov, Review of Applied and Industrial Mathematics, 21:1 (2014), 86–87 |
23. |
A. A. Serov, “Estimates of the neighborhood volumes of binary codes via their weight spectra”, Mat. Vopr. Kriptogr., 4:2 (2013), 17–42 |
24. |
A. A. Serov, “On the number of subfunctions of random boolean function which are close to the affine functions set”, Computer Data Analysis and Modeling: Theoretical and Applied Stochastics, Proc. of the Tenth Intern. Conf. (Minsk, Sept. 10–14, 2013), v. 2, eds. Prof. Dr. S. Aivazian, Prof. Dr. P. Filzmoser, Prof. Dr. Yu. Kharin, Publ. center of BSU, 2013, 26–27 |
25. |
A. M. Zubkov, A. A. Serov, “Estimates for the number of Boolean functions having affine or quadratic approximations with a given accuracy”, Prikl. Diskr. Mat. Suppl., 2012, no. 5, 11–13 |
26. |
A. M. Zubkov, A. A. Serov, “Nezamechennye nailuchshie neravenstva dlya binomialnogo zakona”, Mezhdunarodnaya konferentsiya «Teoriya veroyatnostei i eë prilozheniya», posvyaschënnaya 100-letiyu so dnya rozhdeniya B. V. Gnedenko (Moskva, 26–30 iyunya), Tezisy dokladov, LENAND, 2012, 35–36 |
27. |
A. A. Serov, A. M. Zubkov, “Testing properties of Boolean mappings”, Workshop Current Trends in Cryptology (Nizhny Novgorod, 2 July), 2012, 32 |
28. |
A. A. Serov, “Otsenki moschnostei okrestnostei dvoichnykh distantsionno invariantnykh kodov”, XII Vserossiiskii simpozium po prikladnoi i promyshlennoi matematike (osennyaya sessiya) (Sochi, 1–8 oktyabrya 2011 g.), Obozr. prikl. i prom. matem., 18, no. 3, 2011, 467–468 |
29. |
A. A. Serov, “Otsenki chisla bulevykh funktsii, imeyuschikh kvadratichnye priblizheniya zadannoi tochnosti”, XII Vserossiiskii simpozium po prikladnoi i promyshlennoi matematike (vesennyaya sessiya) (Kazan, 1–8 maya 2011 g.), Obozr. prikl. i prom. matem., 18, no. 1, 2011, 147–148 |
30. |
A. A. Serov, A. M. Zubkov, “On the number of Boolean functions in a given neighbourhood of the affine functions set”, Computer Data Analysis and Modeling: Complex Sthohastic Data and Systems, Proc. of the 9th Intern. Conf. (Minsk, 7–11 September 2010), v. 2, BSU, 2010, 67–70 |
31. |
A. M. Zubkov, A. A. Serov, “Otsenki chisla bulevykh funktsii, imeyuschikh affinnye priblizheniya zadannoi tochnosti”, Materialy Kh Mezhdunarodnogo seminara «Diskretnaya matematika i ee prilozheniya» (Moskva, 1–6 fevralya 2010 g.), Izd-vo mekhaniko-matematicheskogo fakulteta MGU, 2010, 230–232 |
32. |
A. M. Zubkov, A. A. Serov, “Srednee chislo podfunktsii sluchainoi bulevoi funktsii, blizkikh k mnozhestvu affinnykh funktsii”, X Vserossiiskii simpozium po prikladnoi i promyshlennoi matematike (osennyaya sessiya) (Sochi, 1–8 oktyabrya 2009 g.), Obozr. prikl. i prom. matem., 16, no. 4, TVP, 2009, 657–658 |
33. |
A. M. Zubkov, A. A. Serov, “Otsenki chisla bulevykh funktsii, imeyuschikh affinnye priblizheniya zadannoi tochnosti”, X Vserossiiskii simpozium po prikladnoi i promyshlennoi matematike (vesennyaya sessiya) (Sankt-Peterburg, 19–24 maya 2009 g.), Obozr. prikl. i prom. matem., 16, no. 2, TVP, 2009, 337–339 |
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