Constructions of well-rounded algebraic lattices over odd prime degree cyclic number fields

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.contributorFederal Institute of São Paulo-
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.creatorde Araujo, Robson-
Autor(es): dc.creatorde Andrade, Antonio-
Autor(es): dc.creatorNeto, Trajano da Nóbrega-
Autor(es): dc.creatorBastos, Jéfferson-
Data de aceite: dc.date.accessioned2025-08-21T16:56:20Z-
Data de disponibilização: dc.date.available2025-08-21T16:56:20Z-
Data de envio: dc.date.issued2025-04-29-
Data de envio: dc.date.issued2024-12-31-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.46298/cm.14235-
Fonte completa do material: dc.identifierhttps://hdl.handle.net/11449/309208-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/309208-
Descrição: dc.descriptionAlgebraic lattices are those obtained from modules in the ring of integers of algebraic number fields through canonical or twisted embeddings. In turn, well-rounded lattices are those with maximal cardinality of linearly independent vectors in its set of minimal vectors. Both classes of lattices have been applied for signal transmission in some channels, such as wiretap channels. Recently, some advances have been made in the search for well-rounded lattices that can be realized as algebraic lattices. Moreover, some works have been published that study algebraic lattices obtained from modules in cyclic number fields of odd prime degree p. In this work, we generalize some results of a recent work of Tran et al. and we provide new constructions of well-rounded algebraic lattices from a certain family of modules in the ring of integers of each of these fields when p is ramified in its extension over the field of rational numbers.-
Descrição: dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)-
Descrição: dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)-
Descrição: dc.descriptionFederal Institute of São Paulo-
Descrição: dc.descriptionSão Paulo State University-
Descrição: dc.descriptionSão Paulo State University-
Descrição: dc.descriptionFAPESP: 2022/02303-0-
Descrição: dc.descriptionCNPq: 405842/2023-6-
Idioma: dc.languageen-
Relação: dc.relationCommunications in Mathematics-
???dc.source???: dc.sourceScopus-
Palavras-chave: dc.subjectalgebraic lattices-
Palavras-chave: dc.subjectCyclic number fields-
Palavras-chave: dc.subjectwell-rounded lattices-
Título: dc.titleConstructions of well-rounded algebraic lattices over odd prime degree cyclic number fields-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

Não existem arquivos associados a este item.