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. With contributions by Everett Howe, Joseph Oesterlé and Christophe Ritzenthaler. Edited by Alp Bassa, Elisa Lorenzo García, Christophe Ritzenthaler and René Schoof
Documents Mathématiques 18, Société Mathématique de France, Paris, 2020
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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