Entry details for q = 26 = 64, g = 7
Table About Recent changes References
Username
Password
Log in Register

Lower bound Nmin = 177

Submitted by Gerrit Oomens
Date 01/01/1900
Reference J. Wolfmann
Nombre de points rationnels de courbes algébriques sur des corps finis associées à des codes cycliques
C.R. Acad. Sci. Paris 305, Série I (1987), p. 345-348.
Comments
Tags Explicit curves

User comments

Explicit Curve     
S.E.Fischer
02/24/2017 22:33
Another equation is given by
x^3*y^3 + x^7 + x = 0,
z^3 + z^2 + z + x^2 + x = 0.
Explicit equations     
Everett Howe
11/05/2016 05:37
The cited reference shows that the genus-7 curve y^8 + y = x^3 has 177 points. Another model for the same curve is
y^2 + y = x^3 + 1
z^3 = y/x
Upper bound Nmax = 177

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.