Submitted by 
Gerrit Oomens 
Date 
01/01/1900 
Reference 
G. van der Geer, M. van der Vlugt Tables for the function N_q(g) Final update, March 19, 1998.

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Towers of curves with many points 
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Explicit example

Everett Howe
05/20/2010 22:23

Examples can also be constructed using the method of Howe/Leprévost/Poonen (Forum Math. 12 (2000) 315–364). For example, the plane quartic
x^4 + y^4 + 1 + r^12*x^2 + r^12*y^2 + r^7*x^2*y^2 = 0
(where r^3  r + 1 = 0) has 56 points.


Submitted by 
Everett Howe 
Date 
06/11/2010 
Reference 
Kristin Lauter The Maximum or Minimum Number of Rational Points on Genus Three Curves over Finite Fields Compositio Mathematica 134 87111 (2002)

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