Towers of Function Fields over Non-prime Finite Fields

نویسندگان

  • Arnaldo Garcia
  • Henning Stichtenoth
  • Alp Bassa
  • Peter Beelen
چکیده

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(`), for ` = p with p prime and n > 3 odd. A modular interpretation of the towers is given as well.

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تاریخ انتشار 2012