On \(r\)-primitive \(k\)-normal elements over finite fields

DOI10.1016/j.ffa.2022.102053zbMath1497.11291OpenAlexW4225414622WikidataQ114179444 ScholiaQ114179444MaRDI QIDQ2672341

Mamta Rani, Sharwan K. Tiwari, Avnish K. Sharma

Publication date: 8 June 2022

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

Full work available at URL: https://doi.org/10.1016/j.ffa.2022.102053

zbMATH Keywords

charactersfinite fields\(k\)-normal elements\(r\)-primitive elements

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 (4)

Pairs of \(r\)-primitive and \(k\)-normal elements in finite fields ⋮ Inverses of \(r\)-primitive \(k\)-normal elements over finite fields ⋮ On \(r\)-primitive \(k\)-normal elements with prescribed norm and trace over finite fields ⋮ r -primitive k -normal elements in arithmetic progressions over finite fields

Uses Software

• SageMath

Cites Work

• Elements of high order in finite fields of the form
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• Existence of primitive 2-normal elements in finite fields
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• Existence results on \(k\)-normal elements over finite fields
• Variations of the primitive normal basis theorem
• Existence and properties of \(k\)-normal elements over finite fields
• A CLASS OF INCOMPLETE CHARACTER SUMS
• Some notes on the k-normal elements and k-normal polynomials over finite fields
• The strong primitive normal basis theorem
• Elements of provable high orders in finite fields
• THE PRIMITIVE NORMAL BASIS THEOREM – WITHOUT A COMPUTER
• Primitive Normal Bases for Finite Fields
• FINITE FIELD EXTENSIONS WITH THE LINE OR TRANSLATE PROPERTY FOR -PRIMITIVE ELEMENTS
• On the number of k-normal elements over finite fields

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