Geodesic
Normal high order elements in finite field extensions based on the cyclotomic polynomials
Algebra and discrete mathematics, Tome 29 (2020) no. 2, pp. 241-248.

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We consider elements which are both of high multiplicative order and normal in extensions $F_{q^{m} } $ of the field $F_{q} $. If the extension is defined by a cyclotomic polynomial, we construct such elements explicitly and give explicit lower bounds on their orders.
Keywords: finite field, normal basis, high multiplicative order element.
Mots-clés : cyclotomic polynomial 
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R. Popovych; R. Skuratovskii. Normal high order elements in finite field extensions based on the cyclotomic polynomials. Algebra and discrete mathematics, Tome 29 (2020) no. 2, pp. 241-248. http://geodesic.mathdoc.fr/item/ADM_2020_29_2_a8/

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