Kapetanakis, Georgios and Reis, Lucas (2019) Variations of the primitive normal basis theorem. Designs, Codes, and Cryptography, 87 (7). pp. 1459-1480. ISSN 0925-1022 (Print) 1573-7586 (Online)
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Official URL: https://dx.doi.org/10.1007/s10623-018-0543-9
Abstract
The celebrated Primitive Normal Basis Theorem states that for any n≥ 2 and any finite field Fq, there exists an element α∈Fqn that is simultaneously primitive and normal over Fq. In this paper, we prove some variations of this result, completing the proof of a conjecture proposed by Anderson and Mullen (2014).
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | High-order elements; k-normal elements; Normal bases; Primitive elements |
| Divisions: | Faculty of Engineering and Natural Sciences |
| Depositing User: | Georgios Kapetanakis |
| Date Deposited: | 15 Jun 2023 22:12 |
| Last Modified: | 15 Jun 2023 22:12 |
| URI: | https://research.sabanciuniv.edu/id/eprint/46092 |
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