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JOURNALS // Algebra and Discrete Mathematics // Archive
Algebra Discrete Math., 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

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.

MSC: 11T30

Received: 26.02.2016
Revised: 12.03.2018

Language: English


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