manYPoints – Table of Curves with Many Points
Entry details for q = 34 = 81, g = 18
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Lower bound Nmin = 306

Submitted by Gerrit Oomens
Date 01/01/1900
Reference F. Özbudak, B.G. Temur
Fibre products of Kummer covers and curves with many points
Preprint, Middle East Technical University, Ankara, 2005.
Comments
Tags Towers of curves with many points

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Upper bound Nmax = 400

Submitted by Everett Howe
Date 04/14/2010
Reference Everett W. Howe, Kristin E. Lauter
New methods for bounding the number of points on curves over finite fields
Geometry and Arithmetic (C. Faber, G. Farkas, and R. de Jong, eds.), European Mathematical Society, 2012, pp. 173–212
Comments
A real Weil polynomial we don't know how to eliminate: (x + 18)^16 * (x^2 + 30*x + 220)
Tags None

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