Method for Detecting and Correcting Errors in Arithmetic Operations Based on Rank of a Number

Method for Detecting and Correcting Errors in Arithmetic Operations Based on Rank of a Number

The Residue Number System (RNS) is a number representation system used in applications that require high-speed arithmetic operations such as signal processing, digital filters, cryptography, and error correction codes. However, one of the problems with using RNS is determining the rank of a number r...

Full description

Saved in:

Bibliographic Details
Main Authors:	Bezuglova, E. S., Безуглова, Е. С., Kulikova, A. L., Куликова, А. Л., Babenko, M. G., Бабенко, М. Г.
Format:	Статья
Language:	English
Published:	Springer Science and Business Media Deutschland GmbH 2024
Subjects:	Approximate method Residue number system (RNS) Calculation of the rank of a number Rank of a number
Online Access:	https://dspace.ncfu.ru/handle/123456789/29178
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Investigation of the Rank of Numbers Represented in the Residue Number System
by: Kuchukov, V. A., et al.
Published: (2024)

Investigation of Neural Network Methods for Error Detection and Correction in the Residue Number System
by: Lutsenko, V. V., et al.
Published: (2024)

Comparative Analysis of Error Correction Devices in Modular Redundant Codes
by: Berezhnoy, V. V., et al.
Published: (2024)

Multiple error correction in redundant residue number systems: a modified modular projection method with maximum likelihood decoding
by: Babenko, M. G., et al.
Published: (2022)

Zero-Knowledge Authentication Protocol Based On Polynomial Residue Number System Error-Correction Code For Satellite Communication Systems
by: Dukhovnyj, D. V., et al.
Published: (2024)

High-Speed Parity Number Detection Algorithm in RNS Based on Akushsky Core Function
by: Lutsenko, V. V., et al.
Published: (2025)

Optimization of neural network computation with use of residual number system for tasks of design of neural network systems of automatic control
by: Tikhonov, E. E., et al.
Published: (2019)

Implementation of CMAC neural network control systems in residue number system
by: Koldaev, A. I., et al.
Published: (2020)

An Approximate Algorithm for Determining the Sign Function of a Number Using Neural Network Methods
by: Shiriaev, E. M., et al.
Published: (2024)

Modeling of parallel data encryption algorithms
by: Kocherov, Y. N., et al.
Published: (2020)

Data Storage with Increased Survivability and Reliability Based on the Residue Number System
by: Kucherov, N. N., et al.
Published: (2024)

Safe storage of biometric data
by: Kocherov, Y. N., et al.
Published: (2021)

Development of prognostic neural network models based on non-positional coding for automatic control systems
by: Tikhonov, E. E., et al.
Published: (2019)

Digital Technologies in University Management: Contribution to Global Competitiveness
by: Vilgonenko, I. M., et al.
Published: (2025)

Digital Filter Architecture Based on Modified Winograd Method F(2× 2, 5× 5) and Residue Number System
by: Valuev, G. V., et al.
Published: (2023)

An Efficient Implementation of the Montgomery Algorithm Using the Akushsky Core Function
by: Lutsenko, V. V., et al.
Published: (2024)

A numerical method for parallel calculation of the positional characteristic for error correction in a polyalphabetic polynomial modular code
by: Kalmykov, I. A., et al.
Published: (2025)

Методы медико-биологических исследований учебное пособие
by: Белянская Е. С.
Published: (2024)

Ситуационные и тактико-организационные аспекты установления состояния необходимой обороны и эксцесса обороны в условиях противодействия предварительному расследованию. Практикум учебное пособие
by: Цурбанов С. А.
Published: (2024)

Research and Modification of Montgomery Multiplication Algorithm
by: Lapina, M. A., et al.
Published: (2024)

New Heterocyclisation Reactions of 5-Amino-3-(cyanomethyl)-1H-pyrazole-4-carbonitrile with Some 1,3-Dielectrophilic Agents
by: Dotsenko, V. V., et al.
Published: (2022)

SNS-Based Secret Sharing Scheme for Security of Smart City Communication Systems
by: Gladkov, A. V., et al.
Published: (2023)

The Use of the Project Method in the Formation of Students’ Research Culture
by: Rozhenko, O. D., et al.
Published: (2024)

Analysis of Routing Protocols in MANET Networks
by: Krivolapova, O. V., et al.
Published: (2024)

Construction of Akushsky Core Functions Without Critical Cores
by: Lutsenko, V. V., et al.
Published: (2024)

Application of noise-resistant modular codes to increase the fault tolerance of infocommunication systems with OFDMD
by: Kalmykov, I. A., et al.
Published: (2021)

DT-RRNS: Routing Protocol Design for Secure and Reliable Distributed Smart Sensors Communication Systems
by: Gladkov, A. V., et al.
Published: (2023)

Justification and selection of a method for restricting water inflow to horizontal wells in low-permeability terrigenous reservoir conditions using the example of the YuS2 formation of an oil and gas condensate field
by: Verisokin, A. E., et al.
Published: (2025)

Произведения для женского хора a capella
by: Шкербина, Т.

The Use of Innovative Pedagogical Technologies to Improve the Effectiveness of Mathematical Training in Specialized Classes
by: Bondar, V. V., et al.
Published: (2024)

A facile synthesis of 1-oxo-pyrrolo[2,1-a]isoquinolines
by: Aksenov, A. V., et al.
Published: (2018)

Nonlinear approximation of functions based on nonnegative least squares solver
by: Vabishchevich, P. N., et al.
Published: (2023)

Ванадий, ниобий, тантал
by: Киффер Р., et al.

Иностранный язык региона специализации: японский язык для продолжающих обучение учебник
by: Колышкина, С. С.

Reaction of 5-Amino-3-(cyanomethyl)-1H-pyrazole-4-carbonitrile with Hydroxycyclohexanones
by: Dotsenko, V. V., et al.
Published: (2019)

Основы мультимедийных технологий учебное пособие
by: Катунин, Г. П.

Технологии создания и обработки цифровой мультимедийной информации учебник для спо
by: Катунин, Г. П.

Area-Efficient digital filtering based on truncated multiply-accumulate units in residue number system 2n-1,2n,2n+1
by: Lyakhov, P. A., et al.
Published: (2023)

Methods for Collecting and Analyzing the Digital Footprint of Project Activities in the Educational Process
by: Ardeev, A. Н., et al.
Published: (2025)

Arithmetic on the Frontier
by: Joseph R. K.
Published: (2013)