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Pavel Lyakhov, Maxim Bergerman, Ruslan Abdulkadirov, Albina Abdulsalyamova, Nikolay Nagornov, Alexander Voznesensky, Dmitrii Minenkov & Dmitrii Kaplun. (2023) A novel sign detection method in residue number system based on Chinese remainder theorem with fractional values. Microprocessors and Microsystems 102, pages 104940.
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Vanessa Prediger, Fábio Bairros, Laio Oriel Seman, Eduardo Augusto Bezerra & Héctor Pettenghi. (2023)
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Jency Rubia J, Sherin Shibi C, Babitha Lincy R & Dhamodharan S. (2023) Design and Analysis of CNN based Residue Number System for Performance Enhancement. Design and Analysis of CNN based Residue Number System for Performance Enhancement.
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Maxim Bergerman, Pavel Lyakhov & Albina Abdulsalyamova. 2023. Current Problems in Applied Mathematics and Computer Science and Systems. Current Problems in Applied Mathematics and Computer Science and Systems
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Viktor Kuchukov, Dmitry Telpukhov, Mikhail Babenko, Ilya Mkrtchan, Alexander Stempkovsky, Nikolay Kucherov, Tatiana Ermakova & Marine Grigoryan. (2022) Performance Analysis of Hardware Implementations of Reverse Conversion from the Residue Number System. Applied Sciences 12:23, pages 12355.
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M. Valueva, G. Valuev, M. Babenko, A. Tchernykh & J. M. Cortes-Mendoza. (2022) Method for Convolutional Neural Network Hardware Implementation Based on a Residue Number System. Programming and Computer Software 48:8, pages 735-744.
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Kamil Tyncherov, Vyacheslav Mukhametshin, Victor Krasnobaev & Maria Selivanova. (2022) Error Control Coding Algorithms in High Reliability Telemetry Systems. Symmetry 14:7, pages 1363.
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Andrei Tchernykh, Mikhail Babenko, Egor Shiriaev, Bernardo Pulido-Gaytan, Jorge M. Cortés-Mendoza, Arutyun Avetisyan, Alexander Yu Drozdov & Viktor Kuchukov. (2022) An Efficient Method for Comparing Numbers and Determining the Sign of a Number in RNS for Even Ranges. Computation 10:2, pages 17.
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Mikhail Babenko, Anton Nazarov, Maxim Deryabin, Nikolay Kucherov, Andrei Tchernykh, Nguyen Viet Hung, Arutyun Avetisyan & Victor Toporkov. (2022) Multiple Error Correction in Redundant Residue Number Systems: A Modified Modular Projection Method with Maximum Likelihood Decoding. Applied Sciences 12:1, pages 463.
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Stanislaw Zawislak, Mykhailo Kasianchuk, Igor Iakymenko & Daniel Jancarczyk. (2022) Methods of crypto-stable symmetric encryption in the residual number system. Procedia Computer Science 207, pages 128-137.
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Maxim Bergerman, Pavel Lyakhov, Nataliya Semyonova, Danil Bogaevskiy & Dmitry Kaplun. 2022. Mathematics and its Applications in New Computer Systems. Mathematics and its Applications in New Computer Systems
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Alexander Stempkovsky, Dmitry Telpukhov, Ilya Mkrtchan & Alexey Zhigulin. 2022. Mathematics and its Applications in New Computer Systems. Mathematics and its Applications in New Computer Systems
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Константин Сергеевич Исупов. (2021) An overview of high-performance computing using the residue number system. Program Systems: Theory and Applications Программные системы: теория и приложения 12:2, pages 137-192.
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P.A. Lyakhov, M.V. Valueva, D.I. Kaplun & A.S. Voznesensky. (2021) A New Method of Sign Detection in RNS Based on Modified Chinese Remainder Theorem. A New Method of Sign Detection in RNS Based on Modified Chinese Remainder Theorem.
Pavel Lyakhov, Maxim Bergerman, Nataliya Semyonova, Dmitrii Kaplun & Alexander Voznesensky. (2021) Design Reverse Converter for Balanced RNS with Three Low-cost Modules. Design Reverse Converter for Balanced RNS with Three Low-cost Modules.
Mikhail Babenko, Stanislaw J. Piestrak, Nikolay Chervyakov & Maxim Deryabin. (2021) The Study of Monotonic Core Functions and Their Use to Build RNS Number Comparators. Electronics 10:9, pages 1041.
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Anton Nazarov, Mikhail Babenko & Elena Golimblevskaia. (2020) Efficient Hardware Implementation of Forward Conversion WNS-RNS on FPGA. Efficient Hardware Implementation of Forward Conversion WNS-RNS on FPGA.
Egor Shiryaev, Elena Golimblevskaia, Mikhail Babenko, Andrei Tchernykh & Bernardo Pulido-Gaytan. (2020) Improvement of the Approximate Method for the Comparison Operation in the RNS. Improvement of the Approximate Method for the Comparison Operation in the RNS.
Anton Nazarov, Mikhail Babenko & Elena Golimblevskaia. (2020) Hardware Implementation of the Reverse Conversion RNS-WNS on FPGA. Hardware Implementation of the Reverse Conversion RNS-WNS on FPGA.
Piotr Patronik. (2020) On reverse converters for arbitrary multi-moduli RNS. Integration 75, pages 158-167.
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M.V. Valueva, N.N. Nagornov, P.A. Lyakhov, G.V. Valuev & N.I. Chervyakov. (2020) Application of the residue number system to reduce hardware costs of the convolutional neural network implementation. Mathematics and Computers in Simulation 177, pages 232-243.
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N.I. Chervyakov, P.A. Lyakhov, M.A. Deryabin, N.N. Nagornov, M.V. Valueva & G.V. Valuev. (2020) Residue Number System-Based Solution for Reducing the Hardware Cost of a Convolutional Neural Network. Neurocomputing 407, pages 439-453.
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M. Babenko, A. Tchernykh, N. Chervyakov, V. Kuchukov, V. Miranda-López, R. Rivera-Rodriguez, Z. Du & E.-G. Talbi. (2020) Positional Characteristics for Efficient Number Comparison over the Homomorphic Encryption. Programming and Computer Software 45:8, pages 532-543.
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Mikhail Babenko, Aziz Salimovich Redvanov, Maxim Deryabin, Nikolay Chervyakov, Anton Nazarov, Safwat Chiad Al-Galda, Irina Vashchenko, Inna Dvoryaninova & Elena Nepretimova. (2019) Efficient Implementation of Cryptography on Points of an Elliptic Curve in Residue Number System. Efficient Implementation of Cryptography on Points of an Elliptic Curve in Residue Number System.
Maxim Deryabin, Mikhail Babenko, Anton Nazarov, Nikolay Kucherov, Aleksandr Karachevtsev, Arseny Glotov & Irina Vashchenko. (2019) Protocol for Secure and Reliable Data Transmission in MANET based on Modular Arithmetic. Protocol for Secure and Reliable Data Transmission in MANET based on Modular Arithmetic.
Mikhail Babenko, Maxim Deryabin & Andrei Tchernykh. (2019) The Accuracy Estimation of the Interval-Positional Characteristic in Residue Number System. The Accuracy Estimation of the Interval-Positional Characteristic in Residue Number System.
N.I. Chervyakov, P.A. Lyakhov, N.N. Nagornov, M.V. Valueva & G.V. Valuev. (2019) Hardware implementation of a convolutional neural network using calculations in the residue number system. Computer Optics 43:5, pages 857-868.
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Dmitrii I. Kaplunf, Nikolai I. Chervyakov, Pavel A. Lyakhov, Andrey S. Ionisyan, Maria V. Valueva, Vyacheslav V. Gulvanskiy & Peesapati Rangababu. (2019) Hardware Implementation of Video Processing Device using Residue Number System. Hardware Implementation of Video Processing Device using Residue Number System.
Maxim Deryabin, Nikolai Chervyakov, Andrei Tchernykh, Viktor Berezhnoy, Anvar Djurabaev, Anton Nazarov & Mikhail Babenko. (2019) Comparative Performance Analysis of Information Dispersal Methods. Comparative Performance Analysis of Information Dispersal Methods.
Nikolai Chervyakov, Pavel Lyakhov, Mikhail Babenko, Anton Nazarov, Maxim Deryabin, Irina Lavrinenko & Anton Lavrinenko. (2019) A High-Speed Division Algorithm for Modular Numbers Based on the Chinese Remainder Theorem with Fractions and Its Hardware Implementation. Electronics 8:3, pages 261.
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Nikolay I. Chervyakov, Pavel A. Lyakhov, Maria V. Valueva, Georgii V. Valuev, Dmitrii I. Kaplun, George A. Efimenko & Denis V. Gnezdilov. (2018) Area-Efficient FPGA Implementation of Minimalistic Convolutional Neural Network Using Residue Number System. Area-Efficient FPGA Implementation of Minimalistic Convolutional Neural Network Using Residue Number System.
Andrei Tchernykh, Mikhail Babenko, Nikolay Chervyakov, Vanessa Miranda-López, Viktor Kuchukov, Jorge M. Cortés-Mendoza, Maxim Deryabin, Nikolay Kucherov, Gleb Radchenko & Arutyun Avetisyan. (2018) AC-RRNS: Anti-collusion secured data sharing scheme for cloud storage. International Journal of Approximate Reasoning 102, pages 60-73.
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N.I. Chervyakov, P.A. Lyakhov, M.G. Babenko, I.N. Lavrinenko, A.V. Lavrinenko, M.A. Deryabin & A.S. Nazarov. (2018) A new model to optimize the architecture of a fault-tolerant modular neurocomputer. Neurocomputing 303, pages 37-46.
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Maxim Deryabin, Nikolay Chervyakov, Andrei Tchernykh, Mikhail Babenko, Nikolay Kucherov, Vanessa Miranda-Lopez & Arutyun Avetisyan. (2018) Secure Verifiable Secret Short Sharing Scheme for Multi-Cloud Storage. Secure Verifiable Secret Short Sharing Scheme for Multi-Cloud Storage.
Roberto de Matos, Rogerio Paludo, Nikolay Chervyakov, Pavel A. Lyakhov & Hector Pettenghi. (2017) Efficient implementation of modular multiplication by constants applied to RNS reverse converters. Efficient implementation of modular multiplication by constants applied to RNS reverse converters.