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TOWERS OF FUNCTION FIELDS OVER NON-PRIME FINITE FIELDS

2015    Bassa, Alp; Beelen, Peter; Garcia, Arnaldo; Stichtenoth, Henning

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