manYPoints – Table of Curves with Many Points
Entry details for q =
3
4
= 81
, g =
25
Table
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Lower bound
N
min
= 392
Submitted by
Gerrit Oomens
Date
01-01-1900
Reference
Arnaldo Garcia, Alvaro Garzon
On Kummer covers with many rational points over finite fields
J. Pure Appl. Algebra 185 (2003) 177–192
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Explicit curves
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Upper bound
N
max
= 526
Earlier 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 + 18)^23 * (x^2 + 30*x + 220)
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