Garefalakis, Theodoulos and Kapetanakis, Georgios (2019) On the existence of primitive completely normal bases of finite fields. Journal of Pure and Applied Algebra, 223 (3). pp. 909-921. ISSN 0022-4049 (Print) 1873-1376 (Online)
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Official URL: https://dx.doi.org/10.1016/j.jpaa.2018.05.005
Abstract
Let Fq be the finite field of characteristic p with q elements and Fqn its extension of degree n. We prove that there exists a primitive element of Fqn that produces a completely normal basis of Fqn over Fq, provided that n=pℓm with (m,p)=1 and q>m.
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Engineering and Natural Sciences |
| Depositing User: | Georgios Kapetanakis |
| Date Deposited: | 27 May 2023 22:22 |
| Last Modified: | 27 May 2023 22:22 |
| URI: | https://research.sabanciuniv.edu/id/eprint/45768 |
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