On the multiplicative order of elements in Wiedemann's towers of finite fields
We consider recursive binary finite field extensions $E_{i+1} =E_{i} (x_{i+1} )$, $i\ge -1$, defined by D. Wiedemann. The main object of the paper is to give some proper divisors of the Fermat numbers $N_{i} $ that are not equal to the multiplicative order $O(x_{i} )$.
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Format: | Article |
Language: | English |
Published: |
Vasyl Stefanyk Precarpathian National University
2015-12-01
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Series: | Karpatsʹkì Matematičnì Publìkacìï |
Subjects: | |
Online Access: | https://journals.pnu.edu.ua/index.php/cmp/article/view/1401 |
Summary: | We consider recursive binary finite field extensions $E_{i+1} =E_{i} (x_{i+1} )$, $i\ge -1$, defined by D. Wiedemann. The main object of the paper is to give some proper divisors of the Fermat numbers $N_{i} $ that are not equal to the multiplicative order $O(x_{i} )$. |
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ISSN: | 2075-9827 2313-0210 |