Existence of pair of primitive elements over finite fields of characteristic 2

DOI10.1016/j.jnt.2018.05.016zbMath1429.12002OpenAlexW2811273715WikidataQ129630528 ScholiaQ129630528MaRDI QIDQ1668863

Ambrish Awasthi, Rajendra K. Sharma, Anju Gupta

Publication date: 29 August 2018

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2018.05.016

zbMATH Keywords

characterfinite fieldprimitive element

Mathematics Subject Classification ID

Exponential sums (11T23) Finite fields (field-theoretic aspects) (12E20)

Related Items (6)

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 ⋮ On the existence of pairs of primitive normal elements over finite fields

Cites Work

• Pairs of primitive elements in fields of even order
• On the existence of some specific elements in finite fields of characteristic 2
• Existence of some special primitive normal elements over finite fields
• Normal bases and primitive elements over finite fields
• A CLASS OF INCOMPLETE CHARACTER SUMS
• The strong primitive normal basis theorem
• THE PRIMITIVE NORMAL BASIS THEOREM – WITHOUT A COMPUTER
• On primitive normal elements over finite fields
• Consecutive Primitive Roots in a Finite Field
• Primitive elements with zero traces

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