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

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...

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Detalles Bibliográficos
Autor: Morais, George Absalao Pandino De [UNIFESP]
Tipo de recurso: tesis de maestría
Estado:Versión publicada
Fecha de publicación:2017
País:Brasil
Institución:Universidade Federal de São Paulo (UNIFESP)
Repositorio:Repositório Institucional da UNIFESP
Idioma:portugués
OAI Identifier:oai:repositorio.unifesp.br:11600/50647
Acceso en línea:https://sucupira.capes.gov.br/sucupira/public/consultas/coleta/trabalhoConclusao/viewTrabalhoConclusao.jsf?popup=true&id_trabalho=5011822
https://repositorio.unifesp.br/handle/11600/50647
Access Level:acceso abierto
Palabra clave:Perfect Codes
Lee Metric
Golomb-Welch Conjecture
Optimal Embeddings
Códigos Perfeitos
Métrica De Lee
Conjectura De Golomb-Welch
Mergulhos Ótimos
Descripción
Sumario: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.