Encoding through generalized polynomial codes
Autor(a) principal: | |
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Data de Publicação: | 2011 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1590/S1807-03022011000200006 http://hdl.handle.net/11449/72619 |
Resumo: | This paper introduces novel constructions of cyclic codes using semigroup rings instead of polynomial rings. These constructions are applied to define and investigate the BCH, alternant, Goppa, and Srivastava codes. This makes it possible to improve several recent results due to Andrade and Palazzo [1]. © 2011 SBMAC. |
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Repositório Institucional da UNESP |
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Encoding through generalized polynomial codesAlternant codeBCH codeCyclic codeGoppa codeSemigroup ringSrivastava codeThis paper introduces novel constructions of cyclic codes using semigroup rings instead of polynomial rings. These constructions are applied to define and investigate the BCH, alternant, Goppa, and Srivastava codes. This makes it possible to improve several recent results due to Andrade and Palazzo [1]. © 2011 SBMAC.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Department of Mathematics Quaid-i-Azam University, IslamabadDepartment of Mathematics Ibilce, Unesp, São José do Rio Preto, SPDepartment of Mathematics Ibilce, Unesp, São José do Rio Preto, SPFAPESP: 07/56052-8Quaid-i-Azam UniversityUniversidade Estadual Paulista (Unesp)Shah, T.Khan, A.Andrade, A. A. [UNESP]2014-05-27T11:25:58Z2014-05-27T11:25:58Z2011-08-31info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article349-366application/pdfhttp://dx.doi.org/10.1590/S1807-03022011000200006Computational and Applied Mathematics, v. 30, n. 2, p. 349-366, 2011.0101-82051807-0302http://hdl.handle.net/11449/7261910.1590/S1807-03022011000200006S1807-03022011000200006WOS:0002936523000062-s2.0-800517881112-s2.0-80051788111.pdf8940498347481982Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengComputational and Applied Mathematics0.8630,272info:eu-repo/semantics/openAccess2023-10-26T06:08:16Zoai:repositorio.unesp.br:11449/72619Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T16:02:02.547580Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Encoding through generalized polynomial codes |
title |
Encoding through generalized polynomial codes |
spellingShingle |
Encoding through generalized polynomial codes Shah, T. Alternant code BCH code Cyclic code Goppa code Semigroup ring Srivastava code |
title_short |
Encoding through generalized polynomial codes |
title_full |
Encoding through generalized polynomial codes |
title_fullStr |
Encoding through generalized polynomial codes |
title_full_unstemmed |
Encoding through generalized polynomial codes |
title_sort |
Encoding through generalized polynomial codes |
author |
Shah, T. |
author_facet |
Shah, T. Khan, A. Andrade, A. A. [UNESP] |
author_role |
author |
author2 |
Khan, A. Andrade, A. A. [UNESP] |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
Quaid-i-Azam University Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Shah, T. Khan, A. Andrade, A. A. [UNESP] |
dc.subject.por.fl_str_mv |
Alternant code BCH code Cyclic code Goppa code Semigroup ring Srivastava code |
topic |
Alternant code BCH code Cyclic code Goppa code Semigroup ring Srivastava code |
description |
This paper introduces novel constructions of cyclic codes using semigroup rings instead of polynomial rings. These constructions are applied to define and investigate the BCH, alternant, Goppa, and Srivastava codes. This makes it possible to improve several recent results due to Andrade and Palazzo [1]. © 2011 SBMAC. |
publishDate |
2011 |
dc.date.none.fl_str_mv |
2011-08-31 2014-05-27T11:25:58Z 2014-05-27T11:25:58Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1590/S1807-03022011000200006 Computational and Applied Mathematics, v. 30, n. 2, p. 349-366, 2011. 0101-8205 1807-0302 http://hdl.handle.net/11449/72619 10.1590/S1807-03022011000200006 S1807-03022011000200006 WOS:000293652300006 2-s2.0-80051788111 2-s2.0-80051788111.pdf 8940498347481982 |
url |
http://dx.doi.org/10.1590/S1807-03022011000200006 http://hdl.handle.net/11449/72619 |
identifier_str_mv |
Computational and Applied Mathematics, v. 30, n. 2, p. 349-366, 2011. 0101-8205 1807-0302 10.1590/S1807-03022011000200006 S1807-03022011000200006 WOS:000293652300006 2-s2.0-80051788111 2-s2.0-80051788111.pdf 8940498347481982 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Computational and Applied Mathematics 0.863 0,272 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
349-366 application/pdf |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1808128596195147776 |