manYPoints – Table of Curves with Many Points
Entry details for q =
5
2
= 25
, g =
28
Table
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Lower bound
N
min
= 189
Later entry
Submitted by
Karl Rökaeus
Date
02-10-2011
Reference
Karl Rökaeus
Computer search for curves with many points through families over GF(25) and GF(49)
Comments
Tags
Methods from general class field theory
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Upper bound
N
max
= 248
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)^26 * (x^2 + 14*x + 41)
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None
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