Primitive normal bases for towers of field extensions

DOI10.1006/ffta.1999.0256zbMath0982.11070OpenAlexW1978498901MaRDI QIDQ1808847

Dirk Hachenberger

Publication date: 12 September 2001

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

Full work available at URL: https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/1006

zbMATH Keywords

finite fieldstracenormal basisprimitive elementtowers of finite fields

Mathematics Subject Classification ID

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

Related Items (6)

Cohomology and the normal basis theorem ⋮ Primitive complete normal bases: existence in certain 2-power extensions and lower bounds ⋮ Characterizing Normal Bases via the Trace Map ⋮ Explicit theorems on generator polynomials ⋮ Self-dual normal integral bases for infinite unramified extensions. ⋮ Generators for primary closures of Galois fields.

Cites Work

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• Primitive elements and polynomials with arbitrary trace
• Primitive normal bases with prescribed trace
• Primitive Normal Polynomials Over Finite Fields
• Primitive Normal Bases for Finite Fields

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