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

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

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Bibliographic Details
Date:2018
Main Author: Popovych, Roman
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
Subjects:
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/172
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Journal Title:Algebra and Discrete Mathematics

Institution

Algebra and Discrete Mathematics
Description
Summary:We give a lower bound on multiplicative orders of some elements in defined by Conway towers of finite fields of characteristic two and also formulate a condition under that these elements are primitive.