manYPoints – Table of Curves with Many Points
Entry details for q =
11
1
= 11
, g =
25
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Lower bound
N
min
= 104
Earlier entry
Submitted by
Evie Roebroek
Date
05/26/2021
Reference
Evie Roebroek
Using class field theory to find function fields with many rational places
Comments
Tags
Methods from general class field theory
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Upper bound
N
max
= 127
Earlier entry
Submitted by
Everett Howe
Date
04/14/2010
Reference
Jean-Pierre Serre
Rational points on curves over finite fields
Notes by Fernando Q. Gouvêa of lectures at Harvard University, 1985.
Comments
The Oesterlé bound. Here is a real Weil polynomial that we don't know how to eliminate: (x + 4)^6 * (x + 5)^16 * (x^3 + 11*x^2 + 36*x + 35)
Tags
Oesterlé bound
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