On the existence of primitive normal elements of rational form over finite fields of even characteristic

DOI10.1142/S0218196722500187zbMath1493.11154arXiv2005.01216OpenAlexW4210906088WikidataQ114072944 ScholiaQ114072944MaRDI QIDQ5063214

Giorgos Kapetanakis, Himangshu Hazarika, Dhiren Kumar Basnet

Publication date: 17 March 2022

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.01216

zbMATH Keywords

characterfinite fieldnormal basisprimitive elementfree element

Mathematics Subject Classification ID

Exponential sums (11T23) 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 ⋮ Pair of primitive normal elements of rational form over finite fields of characteristic 2

Cites Work

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• A CLASS OF INCOMPLETE CHARACTER SUMS
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• THE PRIMITIVE NORMAL BASIS THEOREM – WITHOUT A COMPUTER
• Kloosterman sums and primitive elements in Galois fields
• Primitive values of quadratic polynomials in a finite field
• Primitive Normal Bases for Finite Fields

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