Codes detecting, locating and correcting random errors occurring in multiple sub-blocks
Abstract In this paper, we study bounds on the number of check digits of linear codes that can detect multiple sub-blocks each affected by e or less random errors and can locate such corrupted multiple sub-blocks. Further, we obtain an upper bound on the number of check digits of linear codes which...
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Universidad Católica del Norte, Departamento de Matemáticas
2019
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oai:scielo:S0716-091720190001001292019-02-08Codes detecting, locating and correcting random errors occurring in multiple sub-blocksKumar Das,Pankaj Syndromes Parity check digits Bounds Error locating Codes Abstract In this paper, we study bounds on the number of check digits of linear codes that can detect multiple sub-blocks each affected by e or less random errors and can locate such corrupted multiple sub-blocks. Further, we obtain an upper bound on the number of check digits of linear codes which can correct such errors occurring in multiple sub-blocks. We also give examples of such codes.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.38 n.1 20192019-03-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000100129en10.4067/S0716-09172019000100129 |
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Scielo Chile |
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Scielo Chile |
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English |
topic |
Syndromes Parity check digits Bounds Error locating Codes |
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Syndromes Parity check digits Bounds Error locating Codes Kumar Das,Pankaj Codes detecting, locating and correcting random errors occurring in multiple sub-blocks |
description |
Abstract In this paper, we study bounds on the number of check digits of linear codes that can detect multiple sub-blocks each affected by e or less random errors and can locate such corrupted multiple sub-blocks. Further, we obtain an upper bound on the number of check digits of linear codes which can correct such errors occurring in multiple sub-blocks. We also give examples of such codes. |
author |
Kumar Das,Pankaj |
author_facet |
Kumar Das,Pankaj |
author_sort |
Kumar Das,Pankaj |
title |
Codes detecting, locating and correcting random errors occurring in multiple sub-blocks |
title_short |
Codes detecting, locating and correcting random errors occurring in multiple sub-blocks |
title_full |
Codes detecting, locating and correcting random errors occurring in multiple sub-blocks |
title_fullStr |
Codes detecting, locating and correcting random errors occurring in multiple sub-blocks |
title_full_unstemmed |
Codes detecting, locating and correcting random errors occurring in multiple sub-blocks |
title_sort |
codes detecting, locating and correcting random errors occurring in multiple sub-blocks |
publisher |
Universidad Católica del Norte, Departamento de Matemáticas |
publishDate |
2019 |
url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000100129 |
work_keys_str_mv |
AT kumardaspankaj codesdetectinglocatingandcorrectingrandomerrorsoccurringinmultiplesubblocks |
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1718439845095800832 |