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dc.contributor.authorReis, Lucas-
dc.contributor.authorRibas, Sávio-
dc.date.accessioned2023-02-07T17:41:54Z-
dc.date.available2023-02-07T17:41:54Z-
dc.date.issued2021pt_BR
dc.identifier.citationREIS, L.; RIBAS, S. Generators of finite fields with prescribed traces. Journal of the Australian Mathematical Society, v. 112, n. 3, p. 355-366, 2022. Disponível em: <https://www.cambridge.org/core/journals/journal-of-the-australian-mathematical-society/article/abs/generators-of-finite-fields-with-prescribed-traces/0A947AFFFD3543C742D1D8AB3E4099B0>. Acesso em: 06 jul. 2022.pt_BR
dc.identifier.issn1446-8107-
dc.identifier.urihttp://www.repositorio.ufop.br/jspui/handle/123456789/16129-
dc.description.abstractThis paper explores the existence and distribution of primitive elements in finite field extensions with prescribed traces in several intermediate field extensions. Our main result provides an inequality-like condition to ensure the existence of such elements. We then derive concrete existence results for a special class of intermediate extensions.pt_BR
dc.language.isoen_USpt_BR
dc.rightsrestritopt_BR
dc.titleGenerators of finite fields with prescribed traces.pt_BR
dc.typeArtigo publicado em periodicopt_BR
dc.identifier.uri2https://www.cambridge.org/core/journals/journal-of-the-australian-mathematical-society/article/abs/generators-of-finite-fields-with-prescribed-traces/0A947AFFFD3543C742D1D8AB3E4099B0pt_BR
dc.identifier.doihttps://doi.org/10.1017/S1446788721000094pt_BR
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