Modification of the Projection Method to Correct Errors in RNS

In this paper, we study methods for correcting errors in the system of residual classes. Traditional correction codes have disadvantages, such as Reed-Solomon codes have a large redundancy, others have either the same disadvantages or have greater computational complexity. The residue number system...

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Bibliografische gegevens
Hoofdauteurs:	Shiriaev, E. M., Ширяев, Е. М., Kuchukov, V. A., Кучуков, В. А., Kucherov, N. N., Кучеров, Н. Н.
Formaat:	Статья
Taal:	English
Gepubliceerd in:	2023
Onderwerpen:	Chinese remainder theorem Syndrome method Residue number system (RNS) Nullivisation Distributed storage systems Correction codes
Online toegang:	https://dspace.ncfu.ru/handle/20.500.12258/25206
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id	ir-20.500.12258-25206
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spelling	ir-20.500.12258-252062023-09-07T11:54:41Z Modification of the Projection Method to Correct Errors in RNS Shiriaev, E. M. Ширяев, Е. М. Kuchukov, V. A. Кучуков, В. А. Kucherov, N. N. Кучеров, Н. Н. Chinese remainder theorem Syndrome method Residue number system (RNS) Nullivisation Distributed storage systems Correction codes In this paper, we study methods for correcting errors in the system of residual classes. Traditional correction codes have disadvantages, such as Reed-Solomon codes have a large redundancy, others have either the same disadvantages or have greater computational complexity. The residue number system has self-correcting properties that have less redundancy and computational complexity. Thus, error detection methods were considered. Based on the study, it was found that the most effective method for detecting errors is the nullivisation method. 2023-09-07T11:53:42Z 2023-09-07T11:53:42Z 2023 Статья Shiriaev, E., Kuchukov, V., Kucherov, N. Modification of the Projection Method to Correct Errors in RNS // Lecture Notes in Networks and Systems. - 2023. - 702 LNNS, pp. 288-299. - DOI: 10.1007/978-3-031-34127-4_28 http://hdl.handle.net/20.500.12258/25206 en Lecture Notes in Networks and Systems application/pdf
institution	СКФУ
collection	Репозиторий
language	English
topic	Chinese remainder theorem Syndrome method Residue number system (RNS) Nullivisation Distributed storage systems Correction codes
spellingShingle	Chinese remainder theorem Syndrome method Residue number system (RNS) Nullivisation Distributed storage systems Correction codes Shiriaev, E. M. Ширяев, Е. М. Kuchukov, V. A. Кучуков, В. А. Kucherov, N. N. Кучеров, Н. Н. Modification of the Projection Method to Correct Errors in RNS
description	In this paper, we study methods for correcting errors in the system of residual classes. Traditional correction codes have disadvantages, such as Reed-Solomon codes have a large redundancy, others have either the same disadvantages or have greater computational complexity. The residue number system has self-correcting properties that have less redundancy and computational complexity. Thus, error detection methods were considered. Based on the study, it was found that the most effective method for detecting errors is the nullivisation method.
format	Статья
author	Shiriaev, E. M. Ширяев, Е. М. Kuchukov, V. A. Кучуков, В. А. Kucherov, N. N. Кучеров, Н. Н.
author_facet	Shiriaev, E. M. Ширяев, Е. М. Kuchukov, V. A. Кучуков, В. А. Kucherov, N. N. Кучеров, Н. Н.
author_sort	Shiriaev, E. M.
title	Modification of the Projection Method to Correct Errors in RNS
title_short	Modification of the Projection Method to Correct Errors in RNS
title_full	Modification of the Projection Method to Correct Errors in RNS
title_fullStr	Modification of the Projection Method to Correct Errors in RNS
title_full_unstemmed	Modification of the Projection Method to Correct Errors in RNS
title_sort	modification of the projection method to correct errors in rns
publishDate	2023
url	https://dspace.ncfu.ru/handle/20.500.12258/25206
work_keys_str_mv	AT shiriaevem modificationoftheprojectionmethodtocorrecterrorsinrns AT širâevem modificationoftheprojectionmethodtocorrecterrorsinrns AT kuchukovva modificationoftheprojectionmethodtocorrecterrorsinrns AT kučukovva modificationoftheprojectionmethodtocorrecterrorsinrns AT kucherovnn modificationoftheprojectionmethodtocorrecterrorsinrns AT kučerovnn modificationoftheprojectionmethodtocorrecterrorsinrns
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Modification of the Projection Method to Correct Errors in RNS

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