Abstract
The article presents the results of comparing different 8-bit error-correcting codes by their probabilistic characteristics. Method Simulation was performed to determine the probabilistic characteristics of 8-bit error-correcting codes. The principles of their coding and decoding are considered. Core results The probabilistic characteristics of 8-bit error-correcting codes are identified and presented. Recommendations for their application are developed depending on the structure of the using transmission system. Practical relevance. The application of the considered codes for the construction of transmission systems on devices with limited computing resources is proposed. The applicability of these codes in the development of application layer byte protocols that require the use of forward error correction mechanisms in communication channels is noted.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Clark, G.C., Jr., Cain, J.B.: Error-Correction Coding for Digital Communications. Plenum Press, New York (1981)
Morelos-Zaragoza, R.H.: The Art of Error Correcting Coding, p. 232. John Wiley & Sons Ltd, Chichester (2002). ISBN 0471-49581-6
Kadel, R., Islam, N., Ahmed, K., Halder, S.J.: Opportunities and challenges for error correction scheme for wireless body area network - a survey. J. Sensor Actuator Netw. 8(1), 1–22 (2019). ISSN: 2224-2708
Nazirov, R., Zolotarev, V., Ovechkin, G., Ovechkin, P., Chulkov, I.: Effective non-bynary multiihreshold decoding for remote earth sensyng systems. Sovremennye problemy distantsionnogo zondirovaniya Zemli iz kosmosa 7(2), 269–274 (2010). (In Russian)
ITU-T G.975. Forward error correction for submarine systems. Geneva: ITU, p. 21 (2000)
Samanta, J., Bhaumik, J., Barman, S., Hossain, S.G.S., Sahu, M., Dutta, S.: RS (255, 249) codec based on all primitive polynomials over GF(\(2^8\)). In: Bhaumik, J., Chakrabarti, I., De, B.P., Bag, B., Mukherjee, S. (eds.) Communication, Devices, and Computing. LNEE, vol. 470, pp. 69–81. Springer, Singapore (2017). https://doi.org/10.1007/978-981-10-8585-7_7
Babaie, S., Khosrohosseini, A., Ghasemkhani, B., Ghaffari, A.: HCAP: hamming code with additional parity method for error control in wireless sensor networks. In: 2010 International Conference on Intelligent Network and Computing (ICINC 2010), pp. 410–415 (2010)
Berlekamp, E.R.: Algebraic Coding Theory. McGraw-Hill, New York (1968)
Werner, M.: Information und Codierung: Grundlagen und Anwendungen. Springer-Verlag, Wiesbaden (2008). (In German)
Hillier, C., Balyan, V.: Error detection and correction on-board nanosatellites using hamming codes. J. Elect. Comput. Eng. 2019, 1–15 (2019)
Shuvalov, V.P. (ed.): Peredacha diskretnyh soobscheniy [Digital Data Transmission] Moscow: Radio i svyaz (1990). (In Russian)
Vladimirov S.S.: About the Majority-Logic Decoding of Shortened Maximum Length Code with K Linear-Independent Elements. Actual’nye problemy infotelekommunikatziy v nauke i obrazovanii. Sbornik nauchnyh statey V mezhdunarodnoy nauchno-tehnicheskoy i nauchno-metodicheskoy konferencii. St.-Petersburg. St.Petersburg State University of Telecommunications, pp. 276–281 (2016). (In Russian)
Kognovitsky, O.: Dvoystvenniy bazis i ego primenenie v telecommunikatziyah [Dual Basis and its Appliance in Telecommunication]. St.-Petersburg: Link. 2009. 423 p. (In Russian) Vladimirov S. S. Modelirovanie protzessov mazhoritarnogo dekodirovaniya po k lineyno-nezavisimym kombinatziyam / S. S. Vladimirov // Nauchno-tehnicheskie vedomosti Sankt-Peterburgskogo gosudarstvennogo politehnicheskogo universiteta. Informatika. Telekommunikatzii. Upravlenie, vol. 5(65), 86–92 (2008). (In Russian)
Vladimirov S.: The efficiency of maximum length code majority-logic decoding algorithm with k-ary linear-independent subsequences in binary symmetric channel. Telecom IT 4(12), 108–119 (2015). (In Russian)
Fink, L.M.: Teoriya peredachi diskretnyh soobscheniy [Digital Data Transmission Theory]. Sovetskoe radio, Moscow (1970). (In Russian)
Deev, V.V.: Metody modulyatzii i kodirovaniya v sovremennyh sistemah svyazi [Modulation and Coding in Modern Communication Systems]. Nauka, St.-Petersburg (2007). (In Russian)
Zyuko A.G., Klovskiy D.D., Nazarov M.V., Fink L.M. Teoriya peredachi signalov [Signal Transmission Theory]. Moscow: Svyaz (1980). (In Russian)
Acknowledgments
The studies at St. Petersburg State University of Telecommunications. prof. M.A. Bonch-Bruevich were supported by the Ministry of Science and High Education of the Russian Federation by the grant 075-15-2022-1137
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2024 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Vladimerov, S., Asliddin, A., Vorozheikina, O., Muthanna, A. (2024). Comparison of Probabilistic Characteristics of 8-Bit Codes with Direct Error Correction. In: Koucheryavy, Y., Aziz, A. (eds) Internet of Things, Smart Spaces, and Next Generation Networks and Systems. NEW2AN ruSMART 2023 2023. Lecture Notes in Computer Science, vol 14542. Springer, Cham. https://doi.org/10.1007/978-3-031-60994-7_29
Download citation
DOI: https://doi.org/10.1007/978-3-031-60994-7_29
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-60993-0
Online ISBN: 978-3-031-60994-7
eBook Packages: Computer ScienceComputer Science (R0)