The existence of primitive normal elements of quadratic forms over finite fields

DOI10.1142/S0219498822500682zbMath1495.11143arXiv2001.06977OpenAlexW3107671150WikidataQ114072480 ScholiaQ114072480MaRDI QIDQ5065657

Himangshu Hazarika, Dhiren Kumar Basnet, Stephen D. Cohen

Publication date: 22 March 2022

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.06977

zbMATH Keywords

characterfinite fieldprimitive elementnormal element

Mathematics Subject Classification ID

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

Related Items (3)

On the existence of pairs of primitive and normal elements over finite fields ⋮ Pairs of \(r\)-primitive and \(k\)-normal elements in finite fields ⋮ On the existence of pairs of primitive normal elements over finite fields

Cites Work

• Unnamed Item
• Pairs of primitive elements in fields of even order
• Normal bases and primitive elements over finite fields
• The strong primitive normal basis theorem
• Generators and irreducible polynomials over finite fields
• THE PRIMITIVE NORMAL BASIS THEOREM – WITHOUT A COMPUTER
• Primitive values of quadratic polynomials in a finite field
• Primitive Normal Bases for Finite Fields

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