scientific article; zbMATH DE number 691486

zbMath0822.11084MaRDI QIDQ4314377

Alfred Scheerhorn

Publication date: 21 November 1994

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

finite fieldirreducible polynomialnormal basisDickson polynomialsrelative tracesArtin-Schreier polynomialsiterated constructions of \(N\)-polynomials

Mathematics Subject Classification ID

Polynomials in general fields (irreducibility, etc.) (12E05) Finite fields (field-theoretic aspects) (12E20) Structure theory for finite fields and commutative rings (number-theoretic aspects) (11T30)

Related Items (9)

Generalized reciprocals, factors of Dickson polynomials and generalized cyclotomic polynomials over finite fields ⋮ Explicit N-polynomials of \(2\)-power degree over finite fields. I ⋮ Iterated constructions of irreducible polynomials over finite fields with linearly independent roots ⋮ Finding normal bases over finite fields with prescribed trace self-orthogonal relations ⋮ Irreducible compositions of polynomials over finite fields ⋮ Trace self-orthogonal relations of normal bases ⋮ Recursive constructions of N-polynomials over \(\text{GF}(2^s)\) ⋮ Specific irreducible polynomials with linearly independent roots over finite fields ⋮ Factors of Dickson polynomials over finite fields.

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