Development of an error correction method using perfect binary arrays

Authors

DOI:

https://doi.org/10.15587/1729-4061.2023.285540

Keywords:

error correction information coding, error detection, perfect binary arrays

Abstract

The research focuses on an innovative error correction method that uses perfect binary arrays (PBAs), a powerful mathematical tool with unique properties that make it ideal for error correction. The research is aimed at studying the impact of uncorrelated mixed-type errors in the data exchange path, which allows using it in smart technologies with limited computing capabilities. The effectiveness of the approach is confirmed by simulation and comparison with other error correction methods. In order to further study the structural, cross-correlation and distance properties of orthogonal two-dimensional codes and the correcting capabilities of the proposed method, an information technology system for data transmission based on an equivalent class of perfect binary arrays has been developed. The proposed model evaluates the performance of the error correction code based on perfect binary arrays under various conditions, including correlated and uncorrelated interference and data exchange paths. A generator of PBA of equivalent classes has been built. An experimental evaluation of the correcting ability of the proposed two-dimensional codes was carried out by simulating various pre-code situations, including packet and random errors, for the cases of correlated and uncorrelated interference. Using a graphical interface, users will be able to enter the number and type of errors, determine whether they are random or packet errors, manually or automatically, move errors through the data packet, and view intermediate results. Thus, the complex nature of this study can be positioned as a promising approach and a reliable choice in the field of error correction

Author Biographies

Pierre Murr, International University of Science and Technology in Kuwait

PhD, Assistant professor

Department of Computer Engineering

Serhii Yevseiev, National Technical University “Kharkiv Polytechnic Institute”

Doctor of Technical Sciences, Professor, Head of Department

Department of Cyber Security

Stanislav Milevskyi, National Technical University “Kharkiv Polytechnic Institute”

PhD, Associate Professor

Department of Cyber Security

Marharyta Melnyk, Private Institution "University of Science, Entrepreneurship and Technologies"

PhD, Associate Professor

Department of Cyber Security and Information Protection

Vitaliy Katsalap, The National Defence University of Ukraine named after Ivan Cherniakhovskyi

PhD, Associate Professor

Department of Information Technologies Employment and Information Security

Yurii Pribyliev, The National Defence University of Ukraine named after Ivan Cherniakhovskyi

Doctor of Technical Sciences, Associate Professor

Department of Information Technologies Employment and Information Security

Khazail Rzayev, Azerbaijan Technical University

PhD, Associate Professor

Department of Computer Technology and Cybersecurity

Andrii Bryla, Uzhhorod National University

PhD, Associate Professor

Department of Systems Analysis and Optimization

Oleksandr Shpak, Uzhhorod National University

PhD, Associate Professor

Department of Software System

Pavlo Fedorka, Uzhhorod National University

Postgraduate Student

Department of Software System

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Development of an error correction method using perfect binary arrays

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Published

2023-08-31

How to Cite

Murr, P., Yevseiev, S., Milevskyi, S., Melnyk, M., Katsalap, V., Pribyliev, Y., Rzayev, K., Bryla, A., Shpak, O., & Fedorka, P. (2023). Development of an error correction method using perfect binary arrays. Eastern-European Journal of Enterprise Technologies, 4(9 (124), 45–53. https://doi.org/10.15587/1729-4061.2023.285540

Issue

Vol. 4 No. 9 (124) (2023): Information and controlling system

Section

Information and controlling system

License

Copyright (c) 2023 Pierre Murr, Serhii Yevseiev, Stanislav Milevskyi, Marharyta Melnyk, Vitaliy Katsalap, Yurii Pribyliev, Khazail Rzayev, Andrii Bryla, Oleksandr Shpak, Pavlo Fedorka

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