High Order Elements in Finite Fields Arising from Recursive Towers

Valerio Dose, Pietro Mercuri, Ankan Pal +1

We provide a recipe to construct towers of fields producing high order elements in $\mathrm{GF}(q,2^n)$, for odd $q$, and in $\mathrm{GF}(2,2\cdot 3^n)$, for $n\ge 1$. These towe…