manYPoints – Table of Curves with Many Points
Entry details for q = 34 = 81, g = 6
Table About Recent changes References
Username
Password
Log in Register

Lower bound Nmin = 190

Submitted by Gerrit Oomens
Date 01-01-1900
Reference Beniamino Segre
Introduction to Galois geometries
Atti Accad. Naz. Lincei Mem. Cl. Sci. Fis. Mat. Natur. Sez. Ia (8) 8 (1967) 133–236
Comments
Tags Explicit curves

User comments

Explicit Curve     
S.E.Fischer
09-08-2016 10:48
The bound is reached by the curve
x^5 + y^5 + 1 = 0.
Upper bound Nmax = 190

Submitted by Everett Howe
Date 04-14-2010
Reference Jean-Pierre Serre
Sur le nombre de points rationnels d'une courbe algébrique sur un corps fini
C. R. Acad. Sci. Paris Sér. I Math. 296 (1983), 397–402. (= Œuvres III, No. 128, 658–663).
Comments
The Hasse-Weil-Serre bound
Tags Hasse-Weil-Serre bound

User comments

No comments have been made.