Towers of Function Fields over Non-prime Finite Fields
Algebraic Geometry
2013-05-21 v2 Number Theory
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 , for with prime and odd. We relate the explicit equations to Drinfeld modular varieties.
Keywords
Cite
@article{arxiv.1202.5922,
title = {Towers of Function Fields over Non-prime Finite Fields},
author = {Alp Bassa and Peter Beelen and Arnaldo Garcia and Henning Stichtenoth},
journal= {arXiv preprint arXiv:1202.5922},
year = {2013}
}