Primitivity, freeness, norm and trace

DOI10.1016/S0012-365X(99)00224-1zbMath0952.11031WikidataQ127633934 ScholiaQ127633934MaRDI QIDQ1972138

Stephen D. Cohen, Dirk Hachenberger

Publication date: 8 January 2001

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

normfinite fieldtracenormal basisprimitive elementfree element

Mathematics Subject Classification ID

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

Related Items (12)

Primitive normal polynomials with the first two coefficients prescribed: a revised \(p\)-adic method ⋮ Primitive free cubics with specified norm and trace ⋮ Primitive normal bases for quartic and cubic extensions: a geometric approach ⋮ Primitive normal polynomials with the last half coefficients prescribed ⋮ Self-reciprocal irreducible polynomials with prescribed coefficients ⋮ Primitive normal polynomials with multiple coefficients prescribed: an asymptotic result ⋮ Primitive normal pairs with prescribed norm and trace ⋮ A generalization of the Hansen-Mullen conjecture on irreducible polynomials over finite fields ⋮ Primitive normal polynomials with the specified last two coefficients ⋮ Explicit theorems on generator polynomials ⋮ Primitive normal polynomials with a prescribed coefficient ⋮ Generators for primary closures of Galois fields.

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