manYPoints – Table of Curves with Many Points
Entry details for q =
5
1
= 5
, g =
10
Table
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Lower bound
N
min
= 31
Earlier entry
Submitted by
Karl Rökaeus
Date
04/06/2012
Reference
Karl Rökaeus
New curves with many points over small finite fields
Finite Fields Appl. 21 (2013), 58–66
Comments
Tags
Methods from general class field theory
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Upper bound
N
max
= 33
Earlier entry
Submitted by
Everett Howe
Date
01/05/2012
Reference
Everett W. Howe and 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 + 3)^6 * (x + 4) * (x^3 + 5*x^2 + x - 8)
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None
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