ВЕКТОРНИЙ МЕТОД ЛОКАЛІЗАЦІЇ ПОМИЛОК ПІДВИЩЕНОЇ ЕФЕКТИВНОСТІ

Authors

  • Oleksii Azarov Vinnytsia National Technical University
  • Oleksandr Cherniak Vinnytsia National Technical University
  • Vladyslav Tuychev Vinnytsia National Technical University

DOI:

https://doi.org/10.31649/1999-9941-2021-51-2-60-67

Keywords:

Hamming codes, Reed-Solomon codes, vector codes, orchard method, redundancy, information transfer

Abstract

The article considers the problems that arise during the transmission and storage of information, namely data corruption under the influence of external interference. The relevance of this topic is substantiated. An analysis of existing approaches to the construction of noise-tolerant codes, namely: Reed-Solomon codes, Hamming codes, vector codes. Our own method of constructing a convolution tree with vector coding is proposed, which allows to localize double errors and recover damaged parts of the data, using one control bit per data word. The proposed convolution tree allows you to easily extend the bit size of the data. Thus, the described method of reliable transmission and storage of information has a minimal redundancy of data and due to the regular structure of the tree - increased efficiency.

Author Biographies

Oleksii Azarov, Vinnytsia National Technical University

Doctor of Technical Sciences, Professor, Head of the Department of Computer Engineering

Oleksandr Cherniak, Vinnytsia National Technical University

Candidate of Technical Sciences, Associate Professor of the Department of Computer Engineering

Vladyslav Tuychev, Vinnytsia National Technical University

postgraduate student of the Technical Science Department

References

O. D. Azarov, O. I. Chernyak, "Polnofunktsionalnaya pobitovaya obrabotka rezultatov analogo-tsifrovogo preobrazovaniya," in 3-th international scientific-practical Conference on Methods and Means of Encoding, Protection and Compression of Information (MMEPCI 2011), Vinnytsya, Ukraine, April 20-22, 2011, s. 208−209.

Olexiy D. Azarov, Olexander G. Murashchenko, Olexander I. Chernyak, Andrzej Smolarz, Gulzhan Kashaganova, "Method of glitch reduction in DAC with weight redundancy," in 16th Conference on Optical Fibers and Their Applications, Proc. SPIE 9816, 98161T, Lublin and Naleczow, Poland, 2015; doi: 10.1117/12.2229045; http://dx.doi.org/10.1117/12.2229045.

O. D. Azarov, O. I. Chernyak, O. G. Murashchenko, "The construction method for high-speed Fibonacci counters," Informatics and control problems, №2(46), pp. 5−8. 2014.

O. D. Azarov, O. I. Chernyak, "Vyznachennya dovzhiny perenesennya pri dodavanni v systemah chislennya z adydyvnymy i multiplikativnymy spivvidnoshennyamy mizh vagamy rozryadiv," Scientific papers of Donetsk National Technical University. Series: Informatics, Cybernetics and Computer Science, № 74, pp. 401−407. 2004. ISSN 1996-1588.

O. D. Azarov, O. I. Chernyak, "Structurna organizatsiya pobitovogo mnojennya i dilennyarjlsd kodiv zolotoi proportsii," Informatics and control problems, №3(21), pp. 5–13. 2007. ISSN 2073-4751.

O. D. Azarov, O. I. Chernyak, "Rozryadnist prystroiv porozryadnogo dodavannya v AM-systemah chislennya," Scientific Works of Vinnytsia National Technical University № 4, pp. 1−9. 2010. [Online resource]. Available: http://praci.vntu.edu.ua/index.php/praci/article/view/233. Access on: Nov. 2020.

O. D. Azarov, O. I. Chernyak, "The structural organization of bit-serial adding and subtraction for golden 1-ratio codes with signs," Information technology and computer engineering, № 3(22), pp. 13–16. 2011. ISSN 1999-9941.

O. D. Azarov, O. I. Chernyak, "Analiz vytrat obladnannya prystroiv pobitovoi aryfmetyky u systemi chyslennya zolotoi 1-proportsii," Informatics and control problems, №2(38), pp. 5−9. 2012. ISSN 2073-4751.

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O. D. Azarov, O. I. Chernyak, "The limitations of additive relationships at order-sequential pipeline processing in AM numerical systems, " Information technology and computer engineering, №3(31), pp. 67−71. 2014. ISSN 1999-9941.

O. D. Azarov, O. I. Chernyak, O. G. Murashchenko, "Porozryadne dodavannya v AM-systemah chyslennya na osnovi adytyvnyh spivvidnoshen," Informatics and control problems, №1(45), pp. 14−21. 2014. ISSN 2073-4751.

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Stephen B. Wicker, Vijay K. Bhargava Reed-Solomon Codes and Their Applications. Wiley-IEEE Press, 1999. ISBN: 978-0-7803-5391-6.

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O. I. Chernyak, O. P. Stakhov, V. P. Martsenyuk, V. I. Pilipchak, O. A. Plevsak, "Ustroystvo kodirovaniya po vektornomu metodu," МКИ4 G 06 F 11/10 №1451700 А1, 15.01.89.

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Published

2021-10-21

How to Cite

[1]
O. Azarov, O. Cherniak, and V. Tuychev, “ВЕКТОРНИЙ МЕТОД ЛОКАЛІЗАЦІЇ ПОМИЛОК ПІДВИЩЕНОЇ ЕФЕКТИВНОСТІ”, ІТКІ, vol. 51, no. 2, pp. 60–67, Oct. 2021.

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