On the number of \(k\)-normal elements and \(\mathbb{F}_q\)-practical numbers

DOI10.1016/J.FFA.2024.102444zbMATH Open1545.12002MaRDI QIDQ6565503

Victor G. L. Neumann, Josimar J. R. Aguirre

Publication date: 2 July 2024

Published in: Finite Fields and their Applications (Search for Journal in Brave)

zbMATH Keywords

finite fieldsnormal elements\(k\)-normal elements, \(\mathbb F_q\)-practical numbers

Mathematics Subject Classification ID

Polynomials over finite fields (11T06) Finite fields (field-theoretic aspects) (12E20) Structure theory for finite fields and commutative rings (number-theoretic aspects) (11T30)

Cites Work

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• Existence of primitive 2-normal elements in finite fields
• Existence and cardinality of \(k\)-normal elements in finite fields
• Existence results on \(k\)-normal elements over finite fields
• Existence and properties of \(k\)-normal elements over finite fields
• Handbook of finite fields
• Contributions to the Theory of Finite Fields
• On the number of k-normal elements over finite fields

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