Normal high order elements in finite field extensions based on the cyclotomic polynomials
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.
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| Date: | 2020 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2020
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| Series: | Algebra and Discrete Mathematics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/188518 |
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| 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. |