Generators of finite fields with prescribed traces.
| dc.contributor.author | Reis, Lucas | |
| dc.contributor.author | Ribas, Sávio | |
| dc.date.accessioned | 2023-02-07T17:41:54Z | |
| dc.date.available | 2023-02-07T17:41:54Z | |
| dc.date.issued | 2021 | pt_BR |
| dc.description.abstract | This 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.identifier.citation | REIS, 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.doi | https://doi.org/10.1017/S1446788721000094 | pt_BR |
| dc.identifier.issn | 1446-8107 | |
| dc.identifier.uri | http://www.repositorio.ufop.br/jspui/handle/123456789/16129 | |
| dc.identifier.uri2 | https://www.cambridge.org/core/journals/journal-of-the-australian-mathematical-society/article/abs/generators-of-finite-fields-with-prescribed-traces/0A947AFFFD3543C742D1D8AB3E4099B0 | pt_BR |
| dc.language.iso | en_US | pt_BR |
| dc.rights | restrito | pt_BR |
| dc.title | Generators of finite fields with prescribed traces. | pt_BR |
| dc.type | Artigo publicado em periodico | pt_BR |
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