Журнал «Радиотехника» | Издательство РАДИОТЕХНИКА

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 concept of hypercomplex neuro-analysis of bioinformatics data and biomechanics

I.V. Stepanian - Ph.D. (Eng.), Dr.Sc. (Biol.), Leading Research Scientist, Laboratory of biodynamics, Institute for Machine Science named by A.A. Blagonravov of the RAS. E-mail: neurocomp.pro@gmail.com O Han Do - Ph.D (Med.), Chief of Holding «in2sm.com» (Seoul, Republic of Korea). E-mail: ohd@wtf.org V.I. Svirin - Research Scientist, Institute for Machine Science named by A.A. Blagonravov of the RAS (Moscow). E-mail: vitaly.i.svirin@gmail.com K.V. Pleshakov - Post-graduate Student, Institute for Machine Science named by A.A. Blagonravov of the RAS (Moscow). E-mail: kpleshakov@gmail.com A.V. Savelyev - Senior Research Scientist, Director of the Patent agency «©Uniquely honest patenting» (Moscow). E-mail: gmkristo@rambler.ru

Neural device for dividing numbers in ternary balanced system

E. Yu. Doroshenko - Post-graduate Student, South-West State University (Kursk). E-mail: metallbublick@mail.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

Parallel-sequential adder-subtractor with the highest digits forward on neurons

S.S. Shevelev

South-West State University (Kursk, Russia)

schewelew@mail.ru