Characterizing Normal Bases via the Trace Map

DOI10.1081/AGB-120027866zbMath1051.11060MaRDI QIDQ4454170

Dirk Hachenberger

Publication date: 7 March 2004

Published in: Communications in Algebra (Search for Journal in Brave)

zbMATH Keywords

finite Galois fieldprimitive elementtrace-compatible sequencecyclic Galois extensiongeneralized trace mappings on torsion modules

Mathematics Subject Classification ID

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

Related Items (2)

Explicit theorems on generator polynomials ⋮ 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
• Galoissche Theorie und Darstellungstheorie
• Primitive normal bases for towers of field extensions
• Generators for primary closures of Galois fields.
• Normal bases over \(\text{GF}(q)\)

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