Multiplicative orders of elements in Conway's towers of finite fields

We give a lower bound on multiplicative orders of certain elements in defined by Conway towers of finite fields of characteristic 2 and also formulate a condition under that these elements are primitive.

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Datum:2018
1. Verfasser: Popovych, R.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут прикладної математики і механіки НАН України 2018
Schriftenreihe:Algebra and Discrete Mathematics
Online Zugang:http://dspace.nbuv.gov.ua/handle/123456789/188353
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Multiplicative orders of elements in Conway's towers of finite fields / R. Popovych // Algebra and Discrete Mathematics. — 2018. — Vol. 25, № 1. — С. 137-146. — Бібліогр.: 14 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Zusammenfassung:We give a lower bound on multiplicative orders of certain elements in defined by Conway towers of finite fields of characteristic 2 and also formulate a condition under that these elements are primitive.