Bounds on linear codes capable of detecting, locating and correcting of repeated burst errors prevailing in multiple sub-blocks
Abstract Linear codes are presented that can detect, locate and correct all repeated burst errors of length b or less which occur in multiple sub-blocks. We obtain lower and upper bounds on the number of check digits for the existence of these codes. Three examples, one for each type of code, are pr...
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Universidad Católica del Norte, Departamento de Matemáticas
2020
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oai:scielo:S0716-091720200006015772020-12-02Bounds on linear codes capable of detecting, locating and correcting of repeated burst errors prevailing in multiple sub-blocksKumar Das,PankajKumar,Subodh Syndromes Parity check matrix Bound Burst Repeated burst Abstract Linear codes are presented that can detect, locate and correct all repeated burst errors of length b or less which occur in multiple sub-blocks. We obtain lower and upper bounds on the number of check digits for the existence of these codes. Three examples, one for each type of code, are provided.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.39 n.6 20202020-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000601577en10.22199/issn.0717-6279-2020-06-0094 |
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Scielo Chile |
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Scielo Chile |
language |
English |
topic |
Syndromes Parity check matrix Bound Burst Repeated burst |
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Syndromes Parity check matrix Bound Burst Repeated burst Kumar Das,Pankaj Kumar,Subodh Bounds on linear codes capable of detecting, locating and correcting of repeated burst errors prevailing in multiple sub-blocks |
description |
Abstract Linear codes are presented that can detect, locate and correct all repeated burst errors of length b or less which occur in multiple sub-blocks. We obtain lower and upper bounds on the number of check digits for the existence of these codes. Three examples, one for each type of code, are provided. |
author |
Kumar Das,Pankaj Kumar,Subodh |
author_facet |
Kumar Das,Pankaj Kumar,Subodh |
author_sort |
Kumar Das,Pankaj |
title |
Bounds on linear codes capable of detecting, locating and correcting of repeated burst errors prevailing in multiple sub-blocks |
title_short |
Bounds on linear codes capable of detecting, locating and correcting of repeated burst errors prevailing in multiple sub-blocks |
title_full |
Bounds on linear codes capable of detecting, locating and correcting of repeated burst errors prevailing in multiple sub-blocks |
title_fullStr |
Bounds on linear codes capable of detecting, locating and correcting of repeated burst errors prevailing in multiple sub-blocks |
title_full_unstemmed |
Bounds on linear codes capable of detecting, locating and correcting of repeated burst errors prevailing in multiple sub-blocks |
title_sort |
bounds on linear codes capable of detecting, locating and correcting of repeated burst errors prevailing in multiple sub-blocks |
publisher |
Universidad Católica del Norte, Departamento de Matemáticas |
publishDate |
2020 |
url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000601577 |
work_keys_str_mv |
AT kumardaspankaj boundsonlinearcodescapableofdetectinglocatingandcorrectingofrepeatedbursterrorsprevailinginmultiplesubblocks AT kumarsubodh boundsonlinearcodescapableofdetectinglocatingandcorrectingofrepeatedbursterrorsprevailinginmultiplesubblocks |
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