Entry details for q = 111 = 11, g = 25
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Lower bound Nmin = 104

Submitted by Evie Roebroek
Date 05/26/2021
Reference Evie Roebroek
Using class field theory to find function fields with many rational places
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Tags Methods from general class field theory

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Upper bound Nmax = 127

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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