Códigos de Grupo Gerado por Grupos de Reflexões Finitos
I tiakina i:
| Kaituhi matua: | |
|---|---|
| Rā whakaputa: | 2020 |
| Hōputu: | Book |
| Reo: | por |
| Puna: | Repositório Comum do Brasil - Deposita |
| Download full: | https://deposita.ibict.br/handle/deposita/144 |
Whakarāpopototanga: | The main objective of this work is the construction of codes of optimal groups generated by groups of finite reflections or groups of Irreducible Coxeter. One group is called the Coxeter Group, in homage to H. S. M. Coxeter (1934), who classified all reflection groups completely and deduced several of his properties using mainly geometric methods. THE construction is based on the analysis of the initial vector problem. This one The problem is solved by using a vectors with their own characteristics, called the roots. The classic group code results are generalizations of the already well-known modulation codes of permutations introduced by Slepian over 42 years ago, where it turns out that the problem of the initial vector restricted to groups of Coxeter has a solution that can be easily calculated. Like objective of better understanding of the theory, an approach is given algebraic at the end of the book giving some examples for the determination of the initial vector. |
| _version_ | 1870605182009606144 |
|---|---|
| author | Silva, Cassio |
| author_browse | Silva, Cassio |
| author_facet | Silva, Cassio |
| author_role | author |
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| collection | Repositório Comum do Brasil - Deposita |
| dc.contributor.author.fl_str_mv | Silva, Cassio |
| dc.date.accessioned.fl_str_mv | 2020-08-28T12:51:01Z |
| dc.date.issued.fl_str_mv | 2020 |
| dc.format.none.fl_str_mv | application/pdf application/pdf |
| dc.identifier.isbn.por.fl_str_mv | 978-65-990978-5-0 |
| dc.identifier.uri.fl_str_mv | https://deposita.ibict.br/handle/deposita/144 |
| dc.language.iso.fl_str_mv | por |
| dc.publisher.country.fl_str_mv | Brasil |
| dc.publisher.none.fl_str_mv | Rfb Editora |
| dc.rights.driver.fl_str_mv | http://creativecommons.org/licenses/by/4.0/ info:eu-repo/semantics/openAccess |
| dc.source.none.fl_str_mv | reponame:Repositório Comum do Brasil - Deposita instname:Instituto Brasileiro de Informação em Ciência e Tecnologia (Ibict) instacron:IBICT |
| dc.subject.cnpq.fl_str_mv | Ciências Exatas e da Terra |
| dc.subject.por.fl_str_mv | Códigos Grupo Gerado Reflexões Finitos |
| dc.title.por.fl_str_mv | Códigos de Grupo Gerado por Grupos de Reflexões Finitos |
| dc.type.driver.fl_str_mv | info:eu-repo/semantics/book |
| dc.type.status.fl_str_mv | info:eu-repo/semantics/publishedVersion |
| description | The main objective of this work is the construction of codes of optimal groups generated by groups of finite reflections or groups of Irreducible Coxeter. One group is called the Coxeter Group, in homage to H. S. M. Coxeter (1934), who classified all reflection groups completely and deduced several of his properties using mainly geometric methods. THE construction is based on the analysis of the initial vector problem. This one The problem is solved by using a vectors with their own characteristics, called the roots. The classic group code results are generalizations of the already well-known modulation codes of permutations introduced by Slepian over 42 years ago, where it turns out that the problem of the initial vector restricted to groups of Coxeter has a solution that can be easily calculated. Like objective of better understanding of the theory, an approach is given algebraic at the end of the book giving some examples for the determination of the initial vector. |
| eu_rights_str_mv | openAccess |
| format | book |
| id | IBICT-1_bc4c2c140c682abd883dbbcfa65a90fd |
| identifier_str_mv | 978-65-990978-5-0 |
| instacron_str | IBICT |
| institution | IBICT |
| instname_str | Instituto Brasileiro de Informação em Ciência e Tecnologia (Ibict) |
| language | por |
| network_acronym_str | IBICT-1 |
| network_name_str | Repositório Comum do Brasil - Deposita |
| oai_identifier_str | oai:deposita.ibict.br:deposita/144 |
| publishDate | 2020 |
| publishDateSort | 2020 |
| publisher.none.fl_str_mv | Rfb Editora |
| reponame_str | Repositório Comum do Brasil - Deposita |
| repository.mail.fl_str_mv | deposita@ibict.br |
| repository.name.fl_str_mv | Repositório Comum do Brasil - Deposita - Instituto Brasileiro de Informação em Ciência e Tecnologia (Ibict) |
| repository_id_str | 4658 |
| rights_invalid_str_mv | http://creativecommons.org/licenses/by/4.0/ |
| spelling | 2020-08-28T12:51:01Z2020978-65-990978-5-0https://deposita.ibict.br/handle/deposita/144The main objective of this work is the construction of codes of optimal groups generated by groups of finite reflections or groups of Irreducible Coxeter. One group is called the Coxeter Group, in homage to H. S. M. Coxeter (1934), who classified all reflection groups completely and deduced several of his properties using mainly geometric methods. THE construction is based on the analysis of the initial vector problem. This one The problem is solved by using a vectors with their own characteristics, called the roots. The classic group code results are generalizations of the already well-known modulation codes of permutations introduced by Slepian over 42 years ago, where it turns out that the problem of the initial vector restricted to groups of Coxeter has a solution that can be easily calculated. Like objective of better understanding of the theory, an approach is given algebraic at the end of the book giving some examples for the determination of the initial vector.O principal objetivo deste trabalho é a construção de códigos de grupos ótimos gerado por grupos de reflexões finitas ou grupos de Coxeter irredutíveis. Um grupo é chamado de Grupo de Coxeter, em homenagem a H. S. M. Coxeter (1934), que classificou completamente todos grupos de reflexões e deduziu várias de suas propriedades usando principalmente métodos geométricos. A construção é baseada na análise do problema do vetor inicial. Este problema é resolvido a partir da utilização de um sistema de vetores com características próprias, chamado de sistema de raízes. Os resultados clássicos de código de grupos são generalizações dos já bem conhecidos códigos de modulação de permutação introduzidos por Slepian há mais de 42 anos, onde verifica-se que o problema do vetor inicial restrito a grupos de Coxeter tem uma solução que pode ser facilmente calculada. Com o objetivo de melhor entendimento da teoria, é dada uma abordagem algébrica na finalização do livro dando alguns exemplos para a determinação do vetor inicial.Norte-1application/pdfapplication/pdfporRfb EditoraBrasilhttp://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessCódigosGrupo GeradoReflexões FinitosCiências Exatas e da TerraCódigos de Grupo Gerado por Grupos de Reflexões Finitosinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/bookSilva, Cassioreponame:Repositório Comum do Brasil - Depositainstname:Instituto Brasileiro de Informação em Ciência e Tecnologia (Ibict)instacron:IBICTTEXTCódigos de Grupo Gerado por Grupos de.pdf.txtWritten by FormatFilter org.dspace.app.mediafilter.TikaTextExtractionFilter on 2025-06-06T20:17:03Z (GMT).Extracted texttext/plain15050https://deposita.ibict.br/bitstreams/c296374b-9b4a-4527-847d-bb27f74b22bd/download76d28159cde21c82dea659f8e83cc77aMD56falseAnonymousREADTHUMBNAILCódigos de Grupo Gerado por Grupos de.pdf.jpgWritten by FormatFilter org.dspace.app.mediafilter.PDFBoxThumbnail on 2025-06-06T20:17:03Z (GMT).Generated Thumbnailimage/jpeg3910https://deposita.ibict.br/bitstreams/94b210f0-930e-4ff3-a34a-b7f472fc45af/downloada0448916d085610bdd729cd7f69d85e1MD57falseAnonymousREADLICENSElicense.txtWritten by org.dspace.content.LicenseUtilstext/plain; 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| spellingShingle | Códigos de Grupo Gerado por Grupos de Reflexões Finitos Silva, Cassio Códigos Grupo Gerado Reflexões Finitos Ciências Exatas e da Terra |
| status_str | publishedVersion |
| title | Códigos de Grupo Gerado por Grupos de Reflexões Finitos |
| title_full | Códigos de Grupo Gerado por Grupos de Reflexões Finitos |
| title_fullStr | Códigos de Grupo Gerado por Grupos de Reflexões Finitos |
| title_full_unstemmed | Códigos de Grupo Gerado por Grupos de Reflexões Finitos |
| title_short | Códigos de Grupo Gerado por Grupos de Reflexões Finitos |
| title_sort | Códigos de Grupo Gerado por Grupos de Reflexões Finitos |
| topic | Códigos Grupo Gerado Reflexões Finitos Ciências Exatas e da Terra |
| url | https://deposita.ibict.br/handle/deposita/144 |