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Galois towers over non-prime finite fields

Galois towers over non-prime finite fields

We construct Galois towers with good asymptotic properties over any non-prime finite field $\mathbb F_{\ell }$; that is, we construct sequences of function fields $\mathcal {N}=(N_1 \subset N_2 \subset \cdots )$ over $\mathbb F_{\ell }$ of increasing genu