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

• Date: 2018
• Main Author: Popovych, Roman
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: finite field; multiplicative order; Conway's tower; 11T30
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/172
• Journal Title: Algebra and Discrete Mathematics

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.