Normal high order elements in finite field extensions based on the cyclotomic polynomials

• Published in: Algebra and Discrete Mathematics
• Date: 2020
• Main Authors: Popovych, R., Skuratovskii, R.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/188518
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Normal high order elements in finite field extensions based on the cyclotomic polynomials / R. Popovych, R. Skuratovskii // Algebra and Discrete Mathematics. — 2020. — Vol. 29, № 2. — С. 241–248. — Бібліогр.: 9 назв. — англ.

We consider elements which are both of high multiplicative order and normal in extensions Fqm of the field Fq. If the extension is defined by a cyclotomic polynomial, we construct such elements explicitly and give explicit lower bounds on their orders.