manYPoints – Table of Curves with Many Points
Entry details for q =
31
1
= 31
, g =
5
Table
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Lower bound
N
min
= 82
Submitted by
M. Q. Kawakita
Date
06-21-2016
Reference
Motoko Qiu Kawakita
Some sextics of genera five and seven attaining the Serre bound
Arithmetic of finite fields (L. Budaghyan and F. Rodríguez-Henríques, eds.), Lecture Notes in Computer Science 11321, Springer, 2018, pp. 264-271
Comments
x^3*y^3+x^5+y^5+2*x^2*y^2+4*x*y+25=0
Tags
Explicit curves
User comments
Reference
Kiran Kedlaya
12-18-2019 05:36
Kawakita's paper including this paper has now appeared; see MR 3905081.
Upper bound
N
max
= 84
Later entry
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 + 8) * (x + 11)^4
Tags
None
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