Trace forms of certain subfields of cyclotomic fields and applications

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MetadadosDescriçãoIdioma
Autor(es): dc.contributorUniversidade Estadual Paulista (Unesp)-
Autor(es): dc.contributorSão Paulo Federal Institute at Cubatão-
Autor(es): dc.contributorSan Diego University-
Autor(es): dc.creatorFerrari, Agnaldo José [UNESP]-
Autor(es): dc.creatorde Andrade, Antonio Aparecido [UNESP]-
Autor(es): dc.creatorde Araujo, Robson Ricardo-
Autor(es): dc.creatorInterlando, José Carmelo-
Data de aceite: dc.date.accessioned2022-02-22T00:31:17Z-
Data de disponibilização: dc.date.available2022-02-22T00:31:17Z-
Data de envio: dc.date.issued2020-12-11-
Data de envio: dc.date.issued2020-12-11-
Data de envio: dc.date.issued2020-05-07-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.13069/jacodesmath.729440-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/200639-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/200639-
Descrição: dc.descriptionIn this work, we present a explicit trace forms for maximal real subfields of cyclotomic fields as tools for constructing algebraic lattices in Euclidean space with optimal center density. We also obtain a closed formula for the Gram matrix of algebraic lattices obtained from these subfields. The obtained lattices are rotated versions of the lattices Λ9, Λ10 and Λ11 and they are images of Z-submodules of rings of integers under the twisted homomorphism, and these constructions, as algebraic lattices, are new in the literature. We also obtain algebraic lattices in odd dimensions up to 7 over real subfields, calculate their minimum product distance and compare with those known in literatura, since lattices constructed over real subfields have full diversity.-
Descrição: dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)-
Descrição: dc.descriptionDepartment of Mathematics School of Sciences São Paulo State University (Unesp)-
Descrição: dc.descriptionDepartment of Mathematics Institute of Biosciences Humanities and Exact Sciences (Ibilce) São Paulo State University (Unesp)-
Descrição: dc.descriptionSão Paulo Federal Institute at Cubatão-
Descrição: dc.descriptionDepartment of Mathematics & Statistics San Diego University-
Descrição: dc.descriptionDepartment of Mathematics School of Sciences São Paulo State University (Unesp)-
Descrição: dc.descriptionDepartment of Mathematics Institute of Biosciences Humanities and Exact Sciences (Ibilce) São Paulo State University (Unesp)-
Descrição: dc.descriptionCNPq: 429346/2018-2-
Formato: dc.format141-160-
Idioma: dc.languageen-
Relação: dc.relationJournal of Algebra Combinatorics Discrete Structures and Applications-
???dc.source???: dc.sourceScopus-
Palavras-chave: dc.subjectAlgebraic lattices-
Palavras-chave: dc.subjectCyclotomic fields-
Palavras-chave: dc.subjectSignal design-
Palavras-chave: dc.subjectTwisted homomorphism-
Título: dc.titleTrace forms of certain subfields of cyclotomic fields and applications-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

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