On the density of normal bases in finite fields

DOI10.1006/ffta.1999.0263zbMath0952.11029OpenAlexW2010060099MaRDI QIDQ1971063

Gudmund Skovbjerg Frandsen

Publication date: 14 August 2000

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

Full work available at URL: https://semanticscholar.org/paper/3058e18994ab457a37807204b3d44bc484f3b4cd

zbMATH Keywords

finite fieldnormal basisGalois field

Mathematics Subject Classification ID

Polynomials over finite fields (11T06) Finite fields (field-theoretic aspects) (12E20) Structure theory for finite fields and commutative rings (number-theoretic aspects) (11T30)

Related Items (5)

Skew differential Goppa codes and their application to McEliece cryptosystem ⋮ The average density of \(k\)-normal elements over finite fields ⋮ Existence and properties of \(k\)-normal elements over finite fields ⋮ Existence and cardinality of \(k\)-normal elements in finite fields ⋮ Mean value theorems for a class of density-like arithmetic functions

Cites Work

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• Density of normal elements
• A density which counts multiplicity
• Constructing normal bases in finite fields
• Solving sparse linear equations over finite fields
• The distribution of values of the Euler function
• Some remarks on Euler’s 𝜙 function and some related problems

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