manYPoints – Table of Curves with Many Points
Entry details for q = 32 = 9, g = 12
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Lower bound Nmin = 56

Submitted by Gerrit Oomens
Date 01-01-1900
Reference M. Gebhardt
Constructing function fields with many rational places via the Carlitz module
Manuscr. Math. 107 (2002), p. 89-99.
Comments
Tags Drinfeld modules of rank 1

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Upper bound Nmax = 61

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 + 4)^3 * (x + 5)^6 * (x^3 + 9*x^2 + 21*x + 8)
Tags None

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