A generalization of the primitive normal basis theorem

DOI10.1016/j.jnt.2010.05.011zbMath1207.11119OpenAlexW2000389682MaRDI QIDQ607047

Ting-Ting Nan, Chih-Nung Hsu

Publication date: 19 November 2010

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2010.05.011

zbMATH Keywords

Carlitz modulecharacter sumprimitive root

Mathematics Subject Classification ID

Other character sums and Gauss sums (11T24) Drinfel'd modules; higher-dimensional motives, etc. (11G09) Arithmetic theory of polynomial rings over finite fields (11T55)

Related Items (4)

On the existence of primitive completely normal bases of finite fields ⋮ Normal bases and primitive elements over finite fields ⋮ An extension of the (strong) primitive normal basis theorem ⋮ Further results on the Morgan-Mullen conjecture

Cites Work

• THE PRIMITIVE NORMAL BASIS THEOREM – WITHOUT A COMPUTER
• Primitive Normal Bases for Finite Fields
• Bases for Finite Fields
• Primitive Roots in a Finite Field
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