Generators of finite fields with prescribed traces.

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Título:	Generators of finite fields with prescribed traces.
Autor(es):	Reis, Lucas Ribas, Sávio
Data do documento:	2021
Referência:	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.
Resumo:	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.
URI:	http://www.repositorio.ufop.br/jspui/handle/123456789/16129
Link para o artigo:	https://www.cambridge.org/core/journals/journal-of-the-australian-mathematical-society/article/abs/generators-of-finite-fields-with-prescribed-traces/0A947AFFFD3543C742D1D8AB3E4099B0
DOI:	https://doi.org/10.1017/S1446788721000094
ISSN:	1446-8107
Aparece nas coleções:	DEMAT - Artigos publicados em periódicos

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