Error correction method in modular redundant codes

Correction codes, which can detect and correct errors that occur during data storage and processing, are necessarily used in various computing devices to ensure noise immunity. The article discusses modular redundant codes using a non-positional number system in residue classes. They show good resul...

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मुख्य लेखकों:	Berezhnoy, V. V., Бережной, В. В.
स्वरूप:	Статья
भाषा:	English
प्रकाशित:	Springer Science and Business Media Deutschland GmbH 2022
विषय:	Correcting errors Correction codes Detecting errors Modular arithmetic Residue number system (RNS)
ऑनलाइन पहुंच:	https://dspace.ncfu.ru/handle/20.500.12258/19615
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spelling	ir-20.500.12258-196152023-09-14T09:45:06Z Error correction method in modular redundant codes Berezhnoy, V. V. Бережной, В. В. Correcting errors Correction codes Detecting errors Modular arithmetic Residue number system (RNS) Correction codes, which can detect and correct errors that occur during data storage and processing, are necessarily used in various computing devices to ensure noise immunity. The article discusses modular redundant codes using a non-positional number system in residue classes. They show good results when being used in digital signal processing, cloud storage, data storage systems. The corrective abilities of codes in the residual class system appear when additional control bases are introduced into their composition. As a result, the overall range of data presentation is increased, which makes it possible to detect information distortion. Error numbers move from the working range of data to the residual one. Moreover, different types of errors lead to the movement of numbers in different areas of the excess range, known as error intervals. The article proposes to use the results on the distribution of error intervals to develop a new method for detecting and correcting errors. The method makes it possible to simultaneously translate data from modular representation into positional representation and correct distorted information, which significantly reduces the time spent on detecting and correcting errors. The proposed method is fast and simple to implement. Comparison of the temporal characteristics of the well-known projection method with the developed method shows the significant advantage of the latter. 2022-05-26T08:33:18Z 2022-05-26T08:33:18Z 2022 Статья Berezhnoy V. V. Error correction method in modular redundant codes // Lecture Notes in Networks and Systems. - 2022. - Том 424. - Стр.: 163 - 174. - DOI10.1007/978-3-030-97020-8_15 http://hdl.handle.net/20.500.12258/19615 en Lecture Notes in Networks and Systems application/pdf Springer Science and Business Media Deutschland GmbH
institution	СКФУ
collection	Репозиторий
language	English
topic	Correcting errors Correction codes Detecting errors Modular arithmetic Residue number system (RNS)
spellingShingle	Correcting errors Correction codes Detecting errors Modular arithmetic Residue number system (RNS) Berezhnoy, V. V. Бережной, В. В. Error correction method in modular redundant codes
description	Correction codes, which can detect and correct errors that occur during data storage and processing, are necessarily used in various computing devices to ensure noise immunity. The article discusses modular redundant codes using a non-positional number system in residue classes. They show good results when being used in digital signal processing, cloud storage, data storage systems. The corrective abilities of codes in the residual class system appear when additional control bases are introduced into their composition. As a result, the overall range of data presentation is increased, which makes it possible to detect information distortion. Error numbers move from the working range of data to the residual one. Moreover, different types of errors lead to the movement of numbers in different areas of the excess range, known as error intervals. The article proposes to use the results on the distribution of error intervals to develop a new method for detecting and correcting errors. The method makes it possible to simultaneously translate data from modular representation into positional representation and correct distorted information, which significantly reduces the time spent on detecting and correcting errors. The proposed method is fast and simple to implement. Comparison of the temporal characteristics of the well-known projection method with the developed method shows the significant advantage of the latter.
format	Статья
author	Berezhnoy, V. V. Бережной, В. В.
author_facet	Berezhnoy, V. V. Бережной, В. В.
author_sort	Berezhnoy, V. V.
title	Error correction method in modular redundant codes
title_short	Error correction method in modular redundant codes
title_full	Error correction method in modular redundant codes
title_fullStr	Error correction method in modular redundant codes
title_full_unstemmed	Error correction method in modular redundant codes
title_sort	error correction method in modular redundant codes
publisher	Springer Science and Business Media Deutschland GmbH
publishDate	2022
url	https://dspace.ncfu.ru/handle/20.500.12258/19615
work_keys_str_mv	AT berezhnoyvv errorcorrectionmethodinmodularredundantcodes AT berežnojvv errorcorrectionmethodinmodularredundantcodes
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Error correction method in modular redundant codes

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