Códigos Perfeitos Na Métrica De Lee E A Conjectura De Golomb-Welch

Códigos Perfeitos Na Métrica De Lee E A Conjectura De Golomb-Welch

Author Morais, George Absalao Pandino De Autor UNIFESP Google Scholar
Advisor Jorge, Grasiele Cristiane Autor UNIFESP Google Scholar
Institution Universidade Federal de São Paulo (UNIFESP)
Graduate program Matemática Aplicada
Abstract The Aim Of This Work Is The Study Of The Golomb-Welch Conjecture And The Relations Between Perfect Codes In The Lee Metric In Zn And Znq , Q 2 N, Q 2, And Tilings In Rn. In This Study, We Stress Two Articles: \Perfect Codes In The Lee Metric And The Packing Of Polyominoes", Written By Solomon W. Golomb E Lloyd R. Welch, Which Presents The Conjecture And Some Facts About Tilings Of Zn By Lee Spheres And \A New Approach Towards The Golomb-Welch Conjecture", Written By Peter Horak E Otokar Grosek, Which Gives A Soloution For Some Cases Of The Conjecture Introducing A New Algebraic Invariant Related To Abelian Groups.

O Objetivo Deste Trabalho E O Estudo Da Conjectura De Golomb-Welch E Das Relac~Oes Entre Codigos Perfeitos Na Metrica De Lee Em Zn E Znq , Q 2 N, Q 2, E Ladrilhamentos Em Rn. Neste Estudo, Damos ^Enfase A Dois Artigos: \Perfect Codes In The Lee Metric And The Packing Of Polyominoes", De Solomon W. Golomb E Lloyd R. Welch, Que Apresenta A Conjectura E Enuncia Alguns Fatos Envolvendo Ladrilhamentos Por Esferas De Lee E \A New Approach Towards The Golomb-Welch Conjecture", De Peter Horak E Otokar Grosek, Que Soluciona Alguns Casos Particulares Da Conjectura Por Meio Da Introduc~Ao De Um Invariante Algebrico Relacionado A Grupos Abelianos.
Keywords Perfect Codes
Lee Metric
Golomb-Welch Conjecture
Optimal Embeddings
Códigos Perfeitos
Métrica De Lee
Conjectura De Golomb-Welch
Mergulhos Ótimos
Language Portuguese
Date 2017-03-23
Research area Álgebra E Aplicações
Knowledge area Matemática Aplicada
Publisher Universidade Federal de São Paulo (UNIFESP)
Extent 0p.
Origin https://sucupira.capes.gov.br/sucupira/public/consultas/coleta/trabalhoConclusao/viewTrabalhoConclusao.jsf?popup=true&id_trabalho=5011822
Access rights Closed access
Type Dissertation
URI http://repositorio.unifesp.br/handle/11600/50647

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