manYPoints – Table of Curves with Many Points
Entry details for q =
7
5
= 16807
, g =
6
Table
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Lower bound
N
min
= 18260
Later entry
Submitted by
M. Q. Kawakita
Date
10-28-2011
Reference
M. Kawakita
Wiman's and Edge's sextic attaining Serre's bound
Comments
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Explicit curves
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Upper bound
N
max
= 18360
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 + 257) * (x + 259)^5
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None
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