manYPoints – Table of Curves with Many Points
Entry details for q =
5
3
= 125
, g =
8
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Lower bound
N
min
= 258
Earlier entry
Submitted by
S.E.Fischer
Date
02/24/2017
Reference
Not available
Comments
A corresponding equation is given by
(x^4 + 2)*y^4 + 3*x^3*y^3 + x^2*y^2 + 3*x*y + 2*x^4 = 0.
Tags
Explicit curves
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Upper bound
N
max
= 299
Submitted by
Everett Howe
Date
04/14/2010
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 + 19) * (x + 22)^7
Tags
None
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