New Single Asymmetric Error-Correcting Codes

New single asymmetric error-correcting codes are proposed. These codes are better than existing codes when the code length n is greater than 10, except for n = 12 and n = 15 . In many cases one can construct a code C containing at least [2^n/n] codewords. It is known that a code with |C| >= [2^n/...

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Main Author: Al-Bassam, Sulaiman (author)
Other Authors: Venkatesan, Ramachandran (author), Al-Muhammadi, Sultan (author), unknown (author)
Format: article
Published: 1997
Subjects:
Online Access:https://eprints.kfupm.edu.sa/id/eprint/10713/1/Coding_IEEE_97.pdf
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author Al-Bassam, Sulaiman
author2 Venkatesan, Ramachandran
Al-Muhammadi, Sultan
unknown
author2_role author
author
author
author_facet Al-Bassam, Sulaiman
Venkatesan, Ramachandran
Al-Muhammadi, Sultan
unknown
author_role author
dc.creator.none.fl_str_mv Al-Bassam, Sulaiman
Venkatesan, Ramachandran
Al-Muhammadi, Sultan
unknown
dc.date.none.fl_str_mv 1997
2020
dc.format.none.fl_str_mv application/pdf
dc.identifier.none.fl_str_mv https://eprints.kfupm.edu.sa/id/eprint/10713/1/Coding_IEEE_97.pdf
(1997) New Single Asymmetric Error-Correcting Codes. IEEE TRANSACTIONS ON INFORMATION THEORY, 43 (5). pp. 1619-1623.
dc.language.none.fl_str_mv en
dc.publisher.none.fl_str_mv IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
dc.relation.none.fl_str_mv https://eprints.kfupm.edu.sa/id/eprint/10713/
dc.rights.*.fl_str_mv info:eu-repo/semantics/openAccess
dc.subject.none.fl_str_mv Computer
Electrical
dc.title.none.fl_str_mv New Single Asymmetric Error-Correcting Codes
dc.type.none.fl_str_mv Article
PeerReviewed
info:eu-repo/semantics/publishedVersion
info:eu-repo/semantics/article
description New single asymmetric error-correcting codes are proposed. These codes are better than existing codes when the code length n is greater than 10, except for n = 12 and n = 15 . In many cases one can construct a code C containing at least [2^n/n] codewords. It is known that a code with |C| >= [2^n/(n + 1)] can be easily obtained. It should be noted that the proposed codes for n = 12 and n = 15 are also the best known codes that can be explicitly constructed, since the best of the existing codes for these values of n are based on combinatorial arguments. Useful partitions of binary vectors are also presented.
eu_rights_str_mv openAccess
format article
id KFUPM_8e005a10ed6572100d425e1b44cbde78
identifier_str_mv (1997) New Single Asymmetric Error-Correcting Codes. IEEE TRANSACTIONS ON INFORMATION THEORY, 43 (5). pp. 1619-1623.
language_invalid_str_mv en
network_acronym_str KFUPM
network_name_str King Fahd University of Petroleum and Minerals
oai_identifier_str oai::10713
publishDate 1997
publisher.none.fl_str_mv IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
repository.mail.fl_str_mv
repository.name.fl_str_mv
repository_id_str
spelling New Single Asymmetric Error-Correcting CodesAl-Bassam, SulaimanVenkatesan, RamachandranAl-Muhammadi, SultanunknownComputerElectricalNew single asymmetric error-correcting codes are proposed. These codes are better than existing codes when the code length n is greater than 10, except for n = 12 and n = 15 . In many cases one can construct a code C containing at least [2^n/n] codewords. It is known that a code with |C| >= [2^n/(n + 1)] can be easily obtained. It should be noted that the proposed codes for n = 12 and n = 15 are also the best known codes that can be explicitly constructed, since the best of the existing codes for these values of n are based on combinatorial arguments. Useful partitions of binary vectors are also presented.IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC19972020ArticlePeerReviewedinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://eprints.kfupm.edu.sa/id/eprint/10713/1/Coding_IEEE_97.pdf (1997) New Single Asymmetric Error-Correcting Codes. IEEE TRANSACTIONS ON INFORMATION THEORY, 43 (5). pp. 1619-1623. enhttps://eprints.kfupm.edu.sa/id/eprint/10713/info:eu-repo/semantics/openAccessoai::107132019-11-01T14:03:37Z
spellingShingle New Single Asymmetric Error-Correcting Codes
Al-Bassam, Sulaiman
Computer
Electrical
status_str publishedVersion
title New Single Asymmetric Error-Correcting Codes
title_full New Single Asymmetric Error-Correcting Codes
title_fullStr New Single Asymmetric Error-Correcting Codes
title_full_unstemmed New Single Asymmetric Error-Correcting Codes
title_short New Single Asymmetric Error-Correcting Codes
title_sort New Single Asymmetric Error-Correcting Codes
topic Computer
Electrical
url https://eprints.kfupm.edu.sa/id/eprint/10713/1/Coding_IEEE_97.pdf