Generalized edge-pairings for the family of hyperbolic tessellations {10λ,2λ}

Detalhes bibliográficos
Autor(a) principal: Faria, Mercio Botelho
Data de Publicação: 2016
Outros Autores: Vieira, Vandenberg Lopes, Palazzo Jr., Reginaldo
Tipo de documento: Artigo
Idioma: eng
Título da fonte: LOCUS Repositório Institucional da UFV
Texto Completo: https://doi.org/10.1007/s40314-014-0178-z
http://www.locus.ufv.br/handle/123456789/23461
Resumo: In this paper we present generalized edge-pairings for the family of hyperbolic tessellations {10λ,2λ}{10λ,2λ} , with the purpose to obtain the corresponding discrete group of isometries. These tessellations have greater density packing than the self-dual tessellations {4λ,4λ}{4λ,4λ} implying that the associated codes achieve the least error probability, or equivalently, that these codes are optimum codes.
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spelling Faria, Mercio BotelhoVieira, Vandenberg LopesPalazzo Jr., Reginaldo2019-02-11T11:19:08Z2019-02-11T11:19:08Z2016-041807-0302https://doi.org/10.1007/s40314-014-0178-zhttp://www.locus.ufv.br/handle/123456789/23461In this paper we present generalized edge-pairings for the family of hyperbolic tessellations {10λ,2λ}{10λ,2λ} , with the purpose to obtain the corresponding discrete group of isometries. These tessellations have greater density packing than the self-dual tessellations {4λ,4λ}{4λ,4λ} implying that the associated codes achieve the least error probability, or equivalently, that these codes are optimum codes.engComputational and Applied MathematicsVolume 35, Issue 1, Pages 29–43, April 2016SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacionalinfo:eu-repo/semantics/openAccessHyperbolic tessellationsPacking spheresDiscrete group of isometriesCode theoryGeneralized edge-pairings for the family of hyperbolic tessellations {10λ,2λ}info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfreponame:LOCUS Repositório Institucional da UFVinstname:Universidade Federal de Viçosa (UFV)instacron:UFVORIGINALartigo.pdfartigo.pdfTexto completoapplication/pdf604289https://locus.ufv.br//bitstream/123456789/23461/1/artigo.pdfdbb00f869ac48e80280eb0be01865787MD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://locus.ufv.br//bitstream/123456789/23461/2/license.txt8a4605be74aa9ea9d79846c1fba20a33MD52123456789/234612019-02-11 09:24:00.566oai:locus.ufv.br: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Repositório InstitucionalPUBhttps://www.locus.ufv.br/oai/requestfabiojreis@ufv.bropendoar:21452019-02-11T12:24LOCUS Repositório Institucional da UFV - Universidade Federal de Viçosa (UFV)false
dc.title.en.fl_str_mv Generalized edge-pairings for the family of hyperbolic tessellations {10λ,2λ}
title Generalized edge-pairings for the family of hyperbolic tessellations {10λ,2λ}
spellingShingle Generalized edge-pairings for the family of hyperbolic tessellations {10λ,2λ}
Faria, Mercio Botelho
Hyperbolic tessellations
Packing spheres
Discrete group of isometries
Code theory
title_short Generalized edge-pairings for the family of hyperbolic tessellations {10λ,2λ}
title_full Generalized edge-pairings for the family of hyperbolic tessellations {10λ,2λ}
title_fullStr Generalized edge-pairings for the family of hyperbolic tessellations {10λ,2λ}
title_full_unstemmed Generalized edge-pairings for the family of hyperbolic tessellations {10λ,2λ}
title_sort Generalized edge-pairings for the family of hyperbolic tessellations {10λ,2λ}
author Faria, Mercio Botelho
author_facet Faria, Mercio Botelho
Vieira, Vandenberg Lopes
Palazzo Jr., Reginaldo
author_role author
author2 Vieira, Vandenberg Lopes
Palazzo Jr., Reginaldo
author2_role author
author
dc.contributor.author.fl_str_mv Faria, Mercio Botelho
Vieira, Vandenberg Lopes
Palazzo Jr., Reginaldo
dc.subject.pt-BR.fl_str_mv Hyperbolic tessellations
Packing spheres
Discrete group of isometries
Code theory
topic Hyperbolic tessellations
Packing spheres
Discrete group of isometries
Code theory
description In this paper we present generalized edge-pairings for the family of hyperbolic tessellations {10λ,2λ}{10λ,2λ} , with the purpose to obtain the corresponding discrete group of isometries. These tessellations have greater density packing than the self-dual tessellations {4λ,4λ}{4λ,4λ} implying that the associated codes achieve the least error probability, or equivalently, that these codes are optimum codes.
publishDate 2016
dc.date.issued.fl_str_mv 2016-04
dc.date.accessioned.fl_str_mv 2019-02-11T11:19:08Z
dc.date.available.fl_str_mv 2019-02-11T11:19:08Z
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 https://doi.org/10.1007/s40314-014-0178-z
http://www.locus.ufv.br/handle/123456789/23461
dc.identifier.issn.none.fl_str_mv 1807-0302
identifier_str_mv 1807-0302
url https://doi.org/10.1007/s40314-014-0178-z
http://www.locus.ufv.br/handle/123456789/23461
dc.language.iso.fl_str_mv eng
language eng
dc.relation.ispartofseries.pt-BR.fl_str_mv Volume 35, Issue 1, Pages 29–43, April 2016
dc.rights.driver.fl_str_mv SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional
info:eu-repo/semantics/openAccess
rights_invalid_str_mv SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Computational and Applied Mathematics
publisher.none.fl_str_mv Computational and Applied Mathematics
dc.source.none.fl_str_mv reponame:LOCUS Repositório Institucional da UFV
instname:Universidade Federal de Viçosa (UFV)
instacron:UFV
instname_str Universidade Federal de Viçosa (UFV)
instacron_str UFV
institution UFV
reponame_str LOCUS Repositório Institucional da UFV
collection LOCUS Repositório Institucional da UFV
bitstream.url.fl_str_mv https://locus.ufv.br//bitstream/123456789/23461/1/artigo.pdf
https://locus.ufv.br//bitstream/123456789/23461/2/license.txt
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repository.name.fl_str_mv LOCUS Repositório Institucional da UFV - Universidade Federal de Viçosa (UFV)
repository.mail.fl_str_mv fabiojreis@ufv.br
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