Primitive normal bases for towers of field extensions
- Given an extension E/F of Galois fields and an intermediate field K, we consider the problem whether the (E, K)-trace of a primitive F-normal element of E can be a prescribed F-normal element of K. An interesting application is the existence of trace-compatible sequences of primitive F-normal elements for certain towers of Galois fields. In this respect, particular emphasis is laid on extensions having prime power degree.
| Author: | Dirk HachenbergerORCiDGND |
|---|---|
| URN: | urn:nbn:de:bvb:384-opus4-8624 |
| Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/1006 |
| Parent Title (English): | Finite Fields and their Applications |
| Type: | Article |
| Language: | English |
| Year of first Publication: | 1999 |
| Publishing Institution: | Universität Augsburg |
| Release Date: | 2008/06/19 |
| Tag: | finite field; primitive element; normal element (basis); trace compatible sequence |
| GND-Keyword: | Galois-Feld; Spur <Mathematik>; Primitives Element; Basis <Mathematik> |
| Volume: | 5 |
| Issue: | 4 |
| First Page: | 378 |
| Last Page: | 385 |
| DOI: | https://doi.org/10.1006/ffta.1999.0256 |
| Institutes: | Mathematisch-Naturwissenschaftlich-Technische Fakultät |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik | |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik / Diskrete Mathematik, Optimierung und Operations Research | |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
