Existence of some special primitive normal elements over finite fields

DOI10.1016/J.FFA.2017.04.004zbMath1369.11094OpenAlexW2609808326MaRDI QIDQ2363332

Anju, Rajendra K. Sharma

Publication date: 13 July 2017

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

Full work available at URL: https://doi.org/10.1016/j.ffa.2017.04.004

zbMATH Keywords

characterfinite fieldprimitive elementnormal 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 (12)

On the existence of pairs of primitive and normal elements over finite fields ⋮ Existence of pair of primitive elements over finite fields of characteristic 2 ⋮ 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 ⋮ Primitive normal values of rational functions over finite fields ⋮ Primitive values of rational functions at primitive elements of a finite field ⋮ Unnamed Item ⋮ Existence of primitive normal pairs with one prescribed trace over finite fields ⋮ Pair of primitive elements with prescribed traces over finite fields ⋮ On special pairs of primitive elements over a finite field ⋮ Primitive normal pairs with prescribed norm and trace ⋮ On the existence of pairs of primitive normal elements over finite fields

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