manYPoints – Table of Curves with Many Points
Entry details for q =
5
3
= 125
, g =
9
Table
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Lower bound
N
min
= 288
Submitted by
S.E.Fischer
Date
03-21-2017
Reference
Not available
Comments
Explicit equations for a corresponding curve are given by
x^4 + y^4 + 1 = 0,
z^2 + 2*x^2 + 2 = 0.
Tags
Towers of curves with many points
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Upper bound
N
max
= 321
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 + 19) * (x + 22)^8
Tags
None
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