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

dc.contributor.author	Popovych, R.
dc.contributor.author	Skuratovskii, R.
dc.date.accessioned	2023-03-03T19:50:31Z
dc.date.available	2023-03-03T19:50:31Z
dc.date.issued	2020
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.other	DOI:10.12958/adm1117
dc.identifier.other	2010 MSC: 11T30.
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/188518
dc.description.abstract	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.	uk_UA
dc.description.sponsorship	The authors are grateful to the referee for comments and suggestions which improved the quality of this paper.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут прикладної математики і механіки НАН України	uk_UA
dc.relation.ispartof	Algebra and Discrete Mathematics
dc.title	Normal high order elements in finite field extensions based on the cyclotomic polynomials	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA