manYPoints – Table of Curves with Many Points
Entry details for q =
3
3
= 27
, g =
44
Table
About
Recent changes
References
Username
Password
Log in
Register
Lower bound
N
min
= 278
Submitted by
Gerrit Oomens
Date
01-01-1900
Reference
Arnaldo Garcia, Alvaro Garzon
On Kummer covers with many rational points over finite fields
J. Pure Appl. Algebra 185 (2003) 177–192
Comments
Tags
Explicit curves
User comments
No comments have been made.
Upper bound
N
max
= 374
Earlier entry
Submitted by
Everett Howe
Date
04-14-2010
Reference
Yasutaka Ihara
Some remarks on the number of rational points of algebraic curves
J. Fac. Sci. Univ. Tokyo Sect. IA Math. 28 (1981) 721–724 (1982)
Comments
The Ihara bound. Here is a real Weil polynomial that we don't know how to eliminate: (x + 7)^5 * (x + 8)^37 * (x^2 + 15*x + 53)
Tags
Ihara bound
User comments
No comments have been made.