On the multiplicative order of elements in Wiedemann's towers of finite fields | Zendy

Roman Popovych | Zendy

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On the multiplicative order of elements in Wiedemann's towers of finite fields

Author(s) -

Roman Popovych

Publication year - 2015

Publication title -

carpathian mathematical publications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.63

H-Index - 4

eISSN - 2313-0210

pISSN - 2075-9827

DOI - 10.15330/cmp.7.2.220-225

Subject(s) - mathematics , multiplicative function , finite field , order (exchange) , fermat's last theorem , field (mathematics) , object (grammar) , fermat number , multiplicative group , discrete mathematics , pure mathematics , combinatorics , mathematical analysis , computer science , finance , artificial intelligence , economics

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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