manYPoints – Table of Curves with Many Points
Entry details for q =
3
2
= 9
, g =
7
Table
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Lower bound
N
min
= 40
Submitted by
Gerrit Oomens
Date
01-01-1900
Reference
Ferruh Özbudak, Henning Stichtenoth
Curves with many points and configurations of hyperplanes over finite fields
Finite Fields Appl. 5 (1999) 436–449
Comments
Tags
Towers of curves with many points
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Upper bound
N
max
= 43
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 + 2) * (x + 5)^5 * (x + 6)
Tags
Ihara bound
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