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arXiv · 1202.5922

Towers of Function Fields over Non-prime Finite Fields

Alp Bassa·Peter Beelen·Arnaldo Garcia·Henning Stichtenoth
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Abstract

Over all non-prime finite fields, we construct some recursive towers of function fields with many rational places. Thus we obtain a substantial improvement on all known lower bounds for Ihara's quantity $A(\ell)$, for $\ell = p^n$ with $p$ prime and $n>3$ odd. We relate the explicit equations to Drinfeld modular varieties.

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Alp Bassa, Peter Beelen, Arnaldo Garcia, Henning Stichtenoth. 2012-02-27. Towers of Function Fields over Non-prime Finite Fields. https://arxiv.org/abs/1202.5922

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