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Title: Generators of finite fields with prescribed traces.
Authors: Reis, Lucas
Ribas, Sávio
Issue Date: 2021
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: <>. Acesso em: 06 jul. 2022.
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.
ISSN: 1446-8107
Appears in Collections:DEMAT - Artigos publicados em periódicos

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