Digital devises in FPGA-architecture based on the distributed computing in the finite fields
Main publications:
Shalagin S.V., REALIZATsIYa TsIFROVYKh USTROISTV V ARKhITEKTURE PLIS/FPGA PRI ISPOLZOVANII RASPREDELENNYKh VYChISLENII V POLYaKh GALUA, ISBN: 978-5-7579-2180-1, KNITU-KAI, 420111. Kazan, ul. Karla Marksa, 10, 2016
Shalagin S.V., “SLOZhNOST VYChISLENIYa NELINEINOI POLINOMIALNOI FUNKTsII NAD POLEM GALUA VIDA GF (2 K) V BAZISE BULEVYKh FUNKTsII OT2 K PEREMENNYKh”, DISKRETNYE MODELI V TEORII UPRAVLYaYuSchIKh SISTEM, IKh Mezhdunarodnaya konferentsiya : Trudy. Otv. red. V.B. Alekseev, D.S. Romanov, B.R. Danilov. 2015 (DISKRETNYE MODELI V TEORII UPRAVLYaYuSchIKh SISTEM Moskva, 20-22 maya 2015 g.), OOO "MAKS Press" (Moskva), 2015, 264-266
ZAKHAROV V.M., SHALAGIN S.V., “EXECUTING DISCRETE ORTHOGONAL TRANSFORMATIONS BASED ON COMPUTATIONS ON THE GALOIS FIELD IN THE FPGA ARCHITECTURE”, 2016 INTERNATIONAL SIBERIAN CONFERENCE ON CONTROL AND COMMUNICATIONS, SIBCON 2016 - PROCEEDINGS, DOI: 10.1109/SIBCON.2016.7491652 (2016 INTERNATIONAL SIBERIAN CONFERENCE ON CONTROL AND COMMUNICATIONS, SIBCON 2016 Moscow, 12-14 maya 2016 g.), Institute of Electrical and Electronics Engineers Inc., 2016
S. V. Shalagin, A. R. Nurutdinova, “Implementation of the modified rabiner's method for polychastic matrices on neural adders”, Intelligent systems. Theory and applications, 26:1 (2022), 129–132
2019
2.
V. M. Zakharov, S. V. Shalagin, B. F. Aminov, “Representation of the stochastic matrix sets with given properties based on autonomous automatic models”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 161:3 (2019), 456–467
2014
3.
V. M. Zakharov, R. V. Zelinsky, S. V. Shalagin, “Model of complication function for generator of pseudorandom sequences over the field $\mathrm{GF}(2)$”, Prikl. Diskr. Mat. Suppl., 2014, no. 7, 67–68
2010
4.
A. R. Nurutdinova, S. V. Shalagin, “Multi-parametric classification of automaton Markov models based on the sequences they generate”, Prikl. Diskr. Mat., 2010, no. 4(10), 41–54
S. A. Sasi, S. V. Shalagin, L. M. Sharnin, “Оценки сложности архитектур умножителей в базисе ПЛИС/FPGA”, Issled. Inform., 9 (2005), 71–80
2003
6.
V. M. Zakharov, Sh. R. Nurutdinov, S. V. Shalagin, “Полиномиальные структурные модели генераторов цепей Маркова в базисе ПЛИС класса FPGA”, Issled. Inform., 6 (2003), 81–94
7.
V. M. Zakharov, Sh. R. Nurutdinov, S. Yu. Sokolov, S. V. Shalagin, “Polynomial representation of automaton models of Markov functions over a Galois field”, Issled. Inform., 5 (2003), 45–56
Sh. R. Nurutdinov, S. V. Shalagin, “Minimization of the number of elements of a homogeneous computational structure”, Issled. Inform., 2 (2000), 117–124
V. M. Zakharov, Sh. R. Nurutdinov, S. V. Shalagin, “Synthesis of autonomous probabilistic automata based on Galois fields”, Issled. Inform., 2 (2000), 107–116
V. M. Zakharov, N. N. Nurmeev, F. I. Salimov, S. V. Shalagin, “Классификация стохастических эргодических матриц методами кластерного и дискриминантного анализа”, Issled. Inform., 2 (2000), 91–106
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