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періодичних видань НАН України
Normal high order elements in finite field extensions based on the cyclotomic polynomials
Репозиторій DSpace/Manakin
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Normal high order elements in finite field extensions based on the cyclotomic polynomials
Інший ID:
DOI:10.12958/adm1117
2010 MSC: 11T30.
2010 MSC: 11T30.
Посилання:
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.
Підтримка:
The authors are grateful to the referee for comments and suggestions which improved the quality of this paper.
Дата:
2020
Переглядів:
201
Завантажень:
87
Анотація:
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.
