Published January 1, 2015 | Version v1
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Good families of Drinfeld modular curves

  • 1. Bogazici Univ, Dept Math, Fac Arts & Sci, TR-34342 Bebek, Turkey
  • 2. Tech Univ Denmark, Dept Appl Math & Comp Sci, DK-2800 Lyngby, Denmark

Description

In this paper, we investigate examples of good and optimal Drinfeld modular towers of function fields. Surprisingly, the optimality of these towers has not been investigated in full detail in the literature. We also give an algorithmic approach for obtaining explicit defining equations for some of these towers and, in particular, give a new explicit example of an optimal tower over a quadratic finite field.

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