manYPoints – Table of Curves with Many Points
Entry details for q =
3
5
= 243
, g =
4
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Lower bound
N
min
= 320
Later entry
Submitted by
M. Afzal Soomro
Date
01/24/2013
Reference
Not available
Comments
Explicit curves: y^2=x^3+2*x^2+x+1, z^2=(x+a^40)^3+2*(x+a^40)^2+x+1, where 'a' is a root of t^5 + 2*t + 1 over F_3.
Tags
Explicit curves
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Upper bound
N
max
= 366
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 + 29) * (x + 31)^3
Tags
None
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