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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Autor principal: Kumar Das,Pankaj
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2019
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000100129
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spelling 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
institution Scielo Chile
collection Scielo Chile
language English
topic Syndromes
Parity check digits
Bounds
Error locating Codes
spellingShingle 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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