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

• Дата: 2018
• Автор: Popovych, Roman
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2018
• Теми: finite field; multiplicative order; Conway's tower; 11T30
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/172
• Назва журналу: 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.