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Algebra and Discrete Mathematics, 2018, Volume 25, Issue 1, Pages 137–146 (Mi adm649)  
RESEARCH ARTICLE

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

Roman Popovych

Lviv Polytechnic National University, Institute of Computer Technologies, Bandery Str., 12, Lviv, 79013, Ukraine
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Abstract: 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.
Keywords: finite field, multiplicative order, Conway's tower.
Received: 26.02.2016
Revised: 12.03.2018
Document Type: Article
MSC: 11T30
Language: English
Citation: Roman Popovych, “Multiplicative orders of elements in Conway's towers of finite fields”, Algebra Discrete Math., 25:1 (2018), 137–146
Citation in format AMSBIB
\Bibitem{Pop18}
\by Roman~Popovych
\paper Multiplicative orders of elements in Conway's towers of finite fields
\jour Algebra Discrete Math.
\yr 2018
\vol 25
\issue 1
\pages 137--146
\mathnet{http://mi.mathnet.ru/adm649}
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