Codes on s-periodic errors

Codes on s-periodic errors

In this paper, we study linear codes capable of detecting and correcting s-periodic errors. Lower and upper bounds on the number of parity check digits required for codes detecting such errors are obtained. Another bound on codes correcting such errors is also obtained. An example of a code detectin...

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Main Authors: Pankaj Kumar Das, Vinod Tyagi
Format: Article
Language:English
Published: Accademia Piceno Aprutina dei Velati 2012-06-01
Series:Ratio Mathematica
Subjects:
parity check matrix, syndromes, standard array, pe- riodic error.
Online Access:http://eiris.it/ojs/index.php/ratiomathematica/article/view/67
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spelling doaj-4324eddbc03d411098ff9e9231dc565d2020-11-24T22:20:22ZengAccademia Piceno Aprutina dei VelatiRatio Mathematica1592-74152282-82142012-06-01221616872Codes on s-periodic errorsPankaj Kumar Das0Vinod Tyagi1Department of Mathematics, Shivaji College (University of Delhi), Raja Garden, Delhi-110 027, IndiaDepartment of Mathematics, Shyam Lal College (Eve.)(University of Delhi), Shahdara, Delhi-110032, IndiaIn this paper, we study linear codes capable of detecting and correcting s-periodic errors. Lower and upper bounds on the number of parity check digits required for codes detecting such errors are obtained. Another bound on codes correcting such errors is also obtained. An example of a code detecting such errors is provided.http://eiris.it/ojs/index.php/ratiomathematica/article/view/67parity check matrix, syndromes, standard array, pe- riodic error.
collection DOAJ
language English
format Article
sources DOAJ
author Pankaj Kumar Das
Vinod Tyagi
spellingShingle Pankaj Kumar Das
Vinod Tyagi
Codes on s-periodic errors
Ratio Mathematica
parity check matrix, syndromes, standard array, pe- riodic error.
author_facet Pankaj Kumar Das
Vinod Tyagi
author_sort Pankaj Kumar Das
title Codes on s-periodic errors
title_short Codes on s-periodic errors
title_full Codes on s-periodic errors
title_fullStr Codes on s-periodic errors
title_full_unstemmed Codes on s-periodic errors
title_sort codes on s-periodic errors
publisher Accademia Piceno Aprutina dei Velati
series Ratio Mathematica
issn 1592-7415
2282-8214
publishDate 2012-06-01
description In this paper, we study linear codes capable of detecting and correcting s-periodic errors. Lower and upper bounds on the number of parity check digits required for codes detecting such errors are obtained. Another bound on codes correcting such errors is also obtained. An example of a code detecting such errors is provided.
topic parity check matrix, syndromes, standard array, pe- riodic error.
url http://eiris.it/ojs/index.php/ratiomathematica/article/view/67
work_keys_str_mv AT pankajkumardas codesonsperiodicerrors
AT vinodtyagi codesonsperiodicerrors
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