Journals
Books
Articles by keyword Residue Number System
Choice of RNS Bases for Realization of Modular PID-Neurocontroller
N.I. Chervyakov, T.A. Rudakova, A.A. Yevdokimov, V.F. Lubencov, M.A. Ospishev
Neural network for transformation of an item code to a code of residue number system in elliptic cryptography
N. I. Chervyakov, A. N. Golovko, I. N Lavrinenko
Lee neural network and its applications
N. I. Chervyakov, A. A. Yevdokimov
An approximate method for rapid detection and localization of faulty channel in residue number system computer
N.I. Chervyakov, M.G. Babenko, P.A. Lyakhov, I.N. Lavrinenko
Modular wavelet transform in the neural
N. I. Chervyakov, P. A. Lyakhov
Implementation of FIR filters in the residue number system
N.I. Chervyakov, P.A. Lyakhov
Review of methods of determining positional characteristics in the residue number system
N.I. Chervyakov, M.G. Babenko, P.A. Lyakhov
An approximate method for determining the positional characteristics of residue number and its application for non-modular procedures in the residue number system
N.I. Chervyakov, M.G. Babenko, P.A. Lyakhov, L.B. Kopytkova, I.N. Lavrinenko
The sign detection method in the residue number system based on approximate calculations
N.I. Chervyakov, P.A. Lyakhov
Imitation proof data transmssion in protected systems of one-way communication by means of polynomial residue classes
D.V. Samoylenko - Ph.D. (Eng.), Art. Lecturer branch of the Military Academy of Communications (Krasnodar). E-mail: 19sam@mail.ru
О.А. Finko - Dr.Sci. (Eng.), Department of the branch of the Military Academy of Communications (Krasnodar). E-mail: ofinko@yandex.ru
Modern Residue Number System Moduli Sets: Efficiency vs. Complexity
Azadeh Alsadat Emrani Zarandi - Department of Computer Engineering, Tehran Science and Research Branch, Islamic Azad University, Tehran, Iran. E-mail: a.emrani@srbiau.ac.ir
Amir Sabbagh Molahosseini - Department of Computer Engineering, Kerman Branch, Islamic Azad University, Kerman, Iran. E-mail: sabbagh@iauk.ac.ir
Mehdi Hosseinzadeh - Department of Computer Engineering, Tehran Science and Research Branch, Islamic Azad University, Tehran, Iran. E-mail: hosseinzadeh@srbiau.ac.ir
Development of pseudorandom number generators on the elliptic curve points based on modular neural networks
N.I. Chervyakov - Dr.Sc. (Eng.), Professor, Head of the Department of Applied Mathematics and Mathematical Modeling, North-Caucasus Federal University, Stavropol, Russia. E-mail: k-fmf-primath@stavsu.ru
M.G. Babenko - Ph.D. (Phys.-Math.), Associate Professor, Department of Applied Mathematics and Mathematical Modeling, North-Caucasus Federal University, Stavropol, Russia. E-mail: whbear@yandex.ru
A.A. Kolyada - Dr.Sc. (Phys.-Math.), Associate Professor, Main Research Scientist, Laboratory of Specialized Computer Systems, A.N. Sevchenko Institute of Applied Physical Problems of Belarusian State University, Minsk, Belarus. E-mail: razan@tut.by
A.V. Lavrinenko - Engineer, Department of Applied Mathematics and Mathematical Modeling, North-Caucasus Federal University, Stavropol, Russia. E-mail: k-fmf-primath@stavsu.ru
Development of secret sharing schemes for video images based on Hadamard matrix in neural network modular basis
N.I. Chervyakov - Dr.Sc. (Eng.), Professor, Head of the Department of Applied Mathematics and Mathematical Modeling, North-Caucasus Federal University, Stavropol, Russia. E-mail: k-fmf-primath@stavsu.ru
M.G. Babenko - Ph.D. (Phys.-Math.), Associate Professor, Department of Applied Mathematics and Mathematical Modeling, North-Caucasus Federal University, Stavropol, Russia. E-mail: whbear@yandex.ru
Implementation of montgomery algorithm in residue number system based on efficiency algorithms of base extension
N.I. Chervyakov - Dr.Sc. (Eng.), Professor, Head of the Department of Applied Mathematics and Mathematical Modeling, North-Caucasus Federal University, Stavropol, Russia. E-mail: k-fmf-primath@stavsu.ru
M.A. Deryabin - Post-graduate Student, Junior Research Scientist, Department of Applied Mathematics and Mathematical Modeling, North-Caucasus Federal University, Stavropol, Russia. E-mail: maxim.deryabin@gmail.com
I.N. Lavrinenko - Ph.D. (Phys.-Math.), Associate Professor, Department of High Algebra and Geometry, North-Caucasus Federal University, Stavropol, Russia. E-mail: k-fmf-primath@stavsu.ru
FIR filters design in the residue number system with special modules
N.I. Chervyakov - Dr.Sc. (Eng.), Professor, Head of the Department of Applied Mathematics and Mathematical Modeling, Institute of Mathematics and Natural Sciences, North-Caucasus Federal University, Stavropol, Russia. E-mail: k-fmf-primath@stavsu.ru
P.A. Lyakhov - Ph.D. (Phys.-Math.), Associate Professor, Department of Applied Mathematics and Mathematical Modeling, Institute of Mathematics and Natural Sciences, North-Caucasus Federal University, Stavropol, Russia. E-mail: ljahov@mail.ru
Analog-digital converters with conveyer structure, functionings in residue number system
A. A. Kozhevnikov - Ph.D. (Phys.-Math.), Associate Professor, Voronezh branch of Moscow State University of Railway Engineering (MIIT)
K. P. Bespalov - Head of the Sector, JSC «Sozvezdie». E-mail: akozhev@yandex.ru
The construction of the automated system for processing video information on the basis of the mathematical apparatus of non-positional number system
S.A. Lepeshkin - Ph. D. (Eng.), Deputy Commander of Department № 95, Mozhaysky Military Space Academy (Saint Petersburg). E-mail: lepeshkins@mail.ru V.Ya. Prorok - Professor, Department № 95, Mozhaysky Military Space Academy (Saint Petersburg). E-mail: val_prorok@mail.ru E.M. Khalikov - Head of Department № 27, Mozhaysky Military Space Academy (Saint Petersburg). E-mail: hell_2@mail.ru
Calculation of denormalizing factor for cryptographic transformations according to the RSA scheme using minimally redundant modular arithmetic
A.A. Kolyada - Dr.Sc. (Phys.-Math.), Associate Professor, Chief Research, Scientntict A.N. Sevchenko Institute of Applied Physics Problems of Byelorussian State University (Minsk) E-mail: razan@tut.by P.V. Kuchynski - Dr.Sc. (Phys.-Math.), Associate Professor, Director of A.N. Sevchenko Institute of Applied Physics Problems of Byelorussian State University (Minsk) E-mail: niipfp@bsu.by N.I. Chervyakov - Dr.Sc. (Eng.), Professor, Head of Department of the Applied Mathematics and Mathematical Modeling, Institute of Mathematics and Natural Sciences, North Caucasus Federal University (Stavropol) E-mail: Chervyakov@yandex.ru
Application of parallel-prefix adders for converting numbers from the binary number system to the residue number system
N.I. Chervyakov - Dr.Sc. (Eng.), Professor, Head of Department of the Applied Mathematics and Mathematical Modeling, Institute of Mathematics and Natural Sciences, North Caucasus Federal University (Stavropol). E-mail: k-fmf-primath@stavsu.ru P.A. Lyakhov - Ph.D. (Phis.-Math.), Assistant Professor, Department of the Applied Mathematics and Mathematical Modeling, Institute of Mathematics and Natural Sciences, North Caucasus Federal University (Stavropol). E-mail: ljahov@mail.ru N.F. Semyonova - Ph.D. (Phis.-Math.), Assistant Professor, Department of the Algebra and Geometry, Institute of Mathematics and Natural Sciences, North Caucasus Federal University (Stavropol). E-mail: nfsemyonova@mail.ru M.V. Valueva - Master student in «Applied Mathematics and Informatics», Institute of Mathematics and Natural Sciences, North Caucasus Federal University (Stavropol). E-mail: mriya.valueva@mail.ru
Development of a new method for computing modular multiplication in the residue number system
N.I. Chervyakov - Dr.Sc. (Eng.), Professor, Head of Department of the Applied Mathematics and Mathematical Modeling, Institute of Mathematics and Natural Sciences, North Caucasus Federal University (Stavropol) E-mail: k-fmf-primath@stavsu.ru M.G. Babenko - Ph.D. (Phys.-Math.), Associate Professor, Department of the Applied Mathematics and Mathematical Modeling, Institute of Mathematics and Natural Sciences, North Caucasus Federal University (Stavropol) E-mail: k-fmf-primath@stavsu.ru A.N. Tchernykh - PhD, Full Professor in the Computer Science Department, Head of the Parallel Computing Laboratory in CICESE Research Center, Ensenada, Baja California, Mexico E-mail: chernykh@cicese.mx V.A. Kuchukov - Post-graduate Student, Department of Applied Mathematics and Mathematical Modeling, Institute of Mathematics and Natural Sciences, North Caucasus Federal University (Stavropol) E-mail: viktor-kuchukov@yandex.ru M.A. Deryabin - Lecturer Assistant, Department of Applied Mathematics and Mathematical Modeling; Junior Research Scientist, Laboratory of Mathematical Modeling and Theoretical-Numeric Systems, Institute of Mathematics and Natural Sciences, North Caucasus Federal University (Stavropol) E-mail: maderiabin@ncfu.ru N.N. Kuchukova - Post-graduate Student, Department of Applied Mathematics and Mathematical Modeling, Institute of Mathematics and Natural Sciences, North Caucasus Federal University (Stavropol) E-mail: knn.storage@yandex.ru
Convolutional neural network architecture using computations in residue number system with specific module set
N.I. Chervyakov - Dr.Sc. (Eng.), Professor, Head of Department of the Applied Mathematics and Mathematical Modeling, Institute of Mathematics and Natural Sciences, North Caucasus Federal University (Stavropol) E-mail: k-fmf-primath@stavsu.ru P.A. Lyakhov - Ph. D. (Phis.-Math.), Assistant Professor, Department of the Applied Mathematics and Mathematical Modeling, Institute of Mathematics and Natural Sciences, North Caucasus Federal University (Stavropol) E-mail: ljahov@mail.ru D.I. Kalita - Post-graduate Student, Institute of Mathematics and Natural Sciences, North Caucasus Federal University (Stavropol) E-mail: diana.kalita@mail.ru M.V. Valueva - Master Student in «Applied Mathematics and Informatics», Institute of Mathematics and Natural Sciences, North Caucasus Federal University (Stavropol) E-mail: mriya.valueva@mail.ru