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

  • R. Popovych Lviv Polytechnic National University, 12 Bandera str., 79013, Lviv, Ukraine
Keywords: finite field, multiplicative order, Wiedemann's tower
Published online: 2015-12-24


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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How to Cite
Popovych R. On the Multiplicative Order of Elements in Wiedemann’s Towers of Finite Fields. Carpathian Math. Publ. 2015, 7 (2), 220-225.