manYPoints – Table of Curves with Many Points
Entry details for q = 22 = 4, g = 12
Table About Recent changes References
Username
Password
Log in Register

Lower bound Nmin = 29

Submitted by Gerrit Oomens
Date 01/01/1900
Reference R. Auer
Ray class fields of global function fields with many rational places
Acta Arith. 95 (2000), p. 97-122.
Comments
Tags Methods from general class field theory

User comments

No comments have been made.
Upper bound Nmax = 31

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 + 1)^2 * (x + 2)^4 * (x + 4)^3 * (x^3 + 4*x^2 - 4)
Tags Oesterlé bound

User comments

No comments have been made.