On the existence of primitive completely normal bases of finite fields

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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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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