manYPoints – Table of Curves with Many Points
Entry details for q = 31 = 3, g = 4
Table About Recent changes References
Username
Password
Log in Register

Lower bound Nmin = 12

Submitted by Gerrit Oomens
Date 01/01/1900
Reference J-P. Serre
Quel est le nombre maximum de points rationnels que peut avoir une courbe algébrique de genre g sur un corps fini F_q?
Résumé des Cours de 1983-1984 (=Oeuvres III, No. 132, p. 701-705).
Comments
Tags Explicit curves

User comments

No comments have been made.
Upper bound Nmax = 12

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 * (x + 2) * (x + 3)^2
Tags Oesterlé bound

User comments

No comments have been made.