Generators for primary closures of Galois fields
- We continue to study the existence of (norm- and) trace-compatible sequences of primitive normal bases for prime power extensions of finite fields, introduced by the author in Hachenberger (Finite Fields Appl. 5 (1990) 378-385: in: D. Jungnickel, H. Niederreiter (Eds.). Proceedings of the Fifth International Conference on Finite Fields and Applications. Augsburg, August 1999. Springer, Heidelberg. 2001. pp. 208-223) and improve on some aspects of these Papers.
| Author: | Dirk HachenbergerORCiDGND |
|---|---|
| URN: | urn:nbn:de:bvb:384-opus4-8791 |
| Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/1023 |
| Parent Title (English): | Finite Fields and their Applications |
| Type: | Article |
| Language: | English |
| Year of first Publication: | 2003 |
| Publishing Institution: | Universität Augsburg |
| Release Date: | 2008/06/20 |
| Tag: | Finite (Galois) field; primitive element; normal/free element; normal basis; completely normal element; trace; norm; trace-compatible sequence |
| GND-Keyword: | Galois-Feld; Spur <Mathematik>; Primitives Element; Basis <Mathematik>; Norm <Mathematik> |
| Volume: | 9 |
| Issue: | 1 |
| First Page: | 122 |
| Last Page: | 128 |
| DOI: | https://doi.org/10.1016/S1071-5797(02)00021-7 |
| 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 |
