SYNTHESIS AND ANALYSIS OF REED-SOLOMON CODES IN ISOMORPHIC SPACE OF IMAGES

Authors

  • A.J. Beletsky National Aviation University, Kyiv https://orcid.org/0000-0002-3798-8150
  • А.А. Beletsky National Aviation University, Kyiv
  • O.I. Volyvach National Aviation University, Kyiv
  • M.A. Yakymchuk National Aviation University, Kyiv

DOI:

https://doi.org/10.14308/ite000446

Keywords:

Reed-Solomon codes, Galois fields, modular arithmetic, isomorphic transformation

Abstract

     A training variant of Reed-Solomon codes, which greatly simplifies the process of synthesis of codewords and detection-fixes for corrupted data files. The algorithm is based on the transfer of variables and operations, in which the synthesis and analysis of codes from the original space into isomorphic space of image. As a result, the proposed replacement of data space computational process is reduced to the basic operations in a simple and modular Galois field arithmetic on integer operands, easily implemented by means of computer technology.

Downloads

Metrics

PDF views
Jan 2015Jul 2015Jan 2016Jul 2016Jan 2017Jul 2017Jan 2018Jul 2018Jan 2019Jul 2019Jan 2020Jul 2020Jan 2021Jul 2021Jan 2022Jul 2022Jan 2023Jul 2023Jan 2024Jul 2024Jan 2025Jul 2025Jan 20266.0
|

References

<uk>
1.Электронный ресурс: http://ru.wikipedia.org/wikiКод_Рида_—_Соломона
2.Блейхут Р. Теория и практика кодов, контролирующих ошибки. – М.: Мир, 1986. – 576 с.
3.Колесник В.Д. Кодирование и декодирование сообщений. Уч. пособие. С-П., 2005-2006.
4.Рахман П.А. Кодирование информации с применением кодов Рида-Соломона. Электронный ресурс: http://bugtraq.ru/library/crypto/.keep/rscodes.pdf
5.Мак-Вильямс Ф.Дж., Слоэн Н. Дж. А. Теория кодов, исправляющих ошибки.: Пер.с англ. – М.: Связь, 1979. – 744 с.
</uk>
<en>
1. Elektronnyj resurs: http://ru.wikipedia.org/wikiKod_Rida_—_Solomona
2. Blejxut R. Teorija i praktika kodov, kontrolirujushhix oshibki. – M.: Mir, 1986. – 576 s.
3. Kolesnik V.D. Kodirovanie i dekodirovanie soobshhenij. Uch. posobie. S-P., 2005-2006.
4. Raxman P.A. Kodirovanie informacii s primeneniem kodov Rida-Solomona. Elektronnyj resurs: http://bugtraq.ru/library/crypto/.keep/rscodes.pdf
5. Mak-Vil'jams F.Dzh., Sloen N. Dzh. A. Teorija kodov, ispravljajushhix oshibki.: Per.s angl. – M.: Svjaz', 1979. – 744 s.
</en>

Published

06.11.2014

How to Cite

Beletsky А., Beletsky Е., Volyvach . О., & Yakymchuk М. (2014). SYNTHESIS AND ANALYSIS OF REED-SOLOMON CODES IN ISOMORPHIC SPACE OF IMAGES. Journal of Information Technologies in Education (ITE), (17), 038–055. https://doi.org/10.14308/ite000446

Most read articles by the same author(s)