Devising a method for detecting and correcting multi-bit data transmission errors in Iot systems based on the Golay code

Authors

DOI:

https://doi.org/10.15587/1729-4061.2025.326222

Keywords:

software engineering, correction codes, Golay codes, Internet of Things, information system, information block

Abstract

The object of this study is information systems within the Internet of Things.

The task addressed involves devising an innovative method for detecting and correcting multi-bit data transmission errors in the Internet of Things networks based on Golay codes.

As the main result of the research, a method has been devised for detecting and correcting multi-bit data transmission errors based on Golay codes during byte-by-byte transmission of an information block.

The method devised is distinguished by its coding scheme, which involves calculating 11 control bits and one parity bit for twelve bytes of the original information message with subsequent mixing using shift operations before transmission to the communication channel.

Thus, for twelve bytes of input information, an information block of 24 bytes is formed at the output of the encoder, and the bits of the bytes belong to eight different code words of the extended Golay code (24, 12).

When transmitting an information block, one or more bits of the transmitted byte may be distorted. But after performing the shift operations on the receiving side, the reverse of those performed before transmission, it becomes possible to detect and correct transmission errors using Golay code decoding methods. The transmission errors of a single byte that are subject to detection and correction can reach eight. This is possible because all the bits of a byte transmitted over a communication channel belong to different combinations of the Golay code – each separate combination is formed by bits of different bytes that have the same numbers.

Due to the fact that an information message of 24 bytes consists of eight code combinations of the Golay code (24, 12), it is possible to correct up to 24 bit errors in one message of 24 bytes

Author Biographies

Vladyslav Sokolovskyi, National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute"

PhD Student, Assistant

Department of Computer Science and Software Engineering

Eduard Zharikov, National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute"

Doctor of Technical Sciences, Professor

Department of Computer Science and Software Engineering

Sergii Telenyk, Cracow University of Technology; National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute"

Doctor of Technical Sciences, Professor

Department of Automation and Computer Science

Department of Information Systems and Technologies

Grzegorz Nowakowski, Cracow University of Technology

Lecturer

Department of Automation and Computer Science

Svitlana Popereshnyak, National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute"

PhD, Associate Professor

Department of Computer Science and Software Engineering

Mykhailo Marynenko, O'Shaughnessy Ventures

Chief Technology Officer

References

  1. Shannon, C. E. (1948). A Mathematical Theory of Communication. Bell System Technical Journal, 27 (4), 623–656. https://doi.org/10.1002/j.1538-7305.1948.tb00917.x
  2. Bortos, M., Tylyshchak, A., Khymynets, M. (2024). Extended binary Golay codes by a group algebra. Algebra and Discrete Mathematics, 38 (1), 23–33. https://doi.org/10.12958/adm2241
  3. Bychkov, V. E., Mrachkovsky, O. D., Pravda, V. I. (2008). Correlation properties of Golay sequences. Visnyk NTUU KPI Seriya - Radiotekhnika Radioaparatobuduvannia, 37, 28–30. Available at: https://radap.kpi.ua/radiotechnique/article/view/552/0?articlesBySameAuthorPage=3
  4. Shishkin, A. V. (2010). Sindromnyy metod formirovaniya cifrovyh vodyanyh znakov i steganograficheskoy peredachi s ispol'zovaniem dopolnitel'noy informacii o nositele. Izvestiya Vysshih Uchebnyh Zavedeniy. Radioelektronika, 53 (1), 12–19. https://doi.org/10.20535/s0021347010010024
  5. Shiriaev, P. M. (2015). Comparison of the binary golay code with the algebro-geometric code. Prikladnaya diskretnaya matematika, 30 (4), 77–82. https://doi.org/10.17223/20710410/30/7
  6. Khebbou, D., Chana, I., Ben-Azza, H. (2023). Decoding of the extended Golay code by the simplified successive-cancellation list decoder adapted to multi-kernel polar codes. TELKOMNIKA (Telecommunication Computing Electronics and Control), 21 (3), 477. https://doi.org/10.12928/telkomnika.v21i3.23360
  7. Reed, I. S., Yin, X., Truong, T. K., Holmes, J. K. (1990). Decoding the (24,12,8) Golay code. IEE Proceedings E Computers and Digital Techniques, 137 (3), 202. https://doi.org/10.1049/ip-e.1990.0025
  8. Bioglio, V., Land, I. (2018). Polar-Code Construction of Golay Codes. IEEE Communications Letters, 22 (3), 466–469. https://doi.org/10.1109/lcomm.2018.2793273
  9. Honary, B., Markarian, G. (1993). New simple encoder and trellis decoder for Golay codes. Electronics Letters, 29 (25), 2170–2171. https://doi.org/10.1049/el:19931456
  10. Reviriego, P., Liu, S., Xiao, L., Maestro, J. A. (2016). An Efficient Single and Double-Adjacent Error Correcting Parallel Decoder for the (24,12) Extended Golay Code. IEEE Transactions on Very Large Scale Integration (VLSI) Systems, 24 (4), 1603–1606. https://doi.org/10.1109/tvlsi.2015.2465846
  11. Sokolovskyi, V., Zharikov, E., Telenyk, S. (2024). Development of the method of detecting and correcting data transmission errors in IoT systems for monitoring the state of objects. Eastern-European Journal of Enterprise Technologies, 1 (9 (127)), 22–33. https://doi.org/10.15587/1729-4061.2024.298476
  12. Golay, M. E. (1949). Notes on Digital Coding. Proceedings of the IRE.
  13. Sridevi, N., Jamal, K., Mannem, K. (2021). Implementation of Error Correction Techniques in Memory Applications. 2021 5th International Conference on Computing Methodologies and Communication (ICCMC), 586–595. https://doi.org/10.1109/iccmc51019.2021.9418432
  14. Saiz-Adalid, L.-J., Gil, P., Ruiz, J.-C., Gracia-Moran, J., Gil-Tomas, D., Baraza-Calvo, J.-C. (2016). Ultrafast Error Correction Codes for Double Error Detection/Correction. 2016 12th European Dependable Computing Conference (EDCC), 108–119. https://doi.org/10.1109/edcc.2016.28
Devising a method for detecting and correcting multi-bit data transmission errors in Iot systems based on the Golay code

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Published

2025-04-29

How to Cite

Sokolovskyi, V., Zharikov, E., Telenyk, S., Nowakowski, G., Popereshnyak, S., & Marynenko, M. (2025). Devising a method for detecting and correcting multi-bit data transmission errors in Iot systems based on the Golay code. Eastern-European Journal of Enterprise Technologies, 2(9 (134), 14–23. https://doi.org/10.15587/1729-4061.2025.326222

Issue

Section

Information and controlling system