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

• Published in: Algebra and Discrete Mathematics
• Date: 2018
• Main Author: Popovych, R.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/188353
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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.