TY - CONF A1 - Hachenberger, Dirk A2 - Cohen, Stephen D. A2 - Niederreiter, Harald T1 - Completely free elements T2 - Finite fields and applications: Proceedings of the third international conference, Glasgow, July 1995 N2 - This paper is a working out of the same-titled talk given by the author at the Third International Conference on Finite Fields and Their Applications in Glasgow, 1995. We give a survey on recent results on the characterization, the structure, the enumeration, and the construction of completely free elements and normal bases in finite dimensional extensions over finite fields. KW - Galois-Feld KW - Galois-Erweiterung KW - Basis KW - free element KW - finite fields KW - Galois field KW - field extension KW - normal bases Y1 - 2008 UR - https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/1001 UR - https://nbn-resolving.org/urn:nbn:de:bvb:384-opus4-8578 SN - 0-521-56736-X SP - 97 EP - 107 PB - Cambridge University Press CY - Cambridge ER -