manYPoints – Table of Curves with Many Points
Entry details for q =
13
1
= 13
, g =
7
Table
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Lower bound
N
min
= 52
Earlier entry
Submitted by
Everett Howe
Date
09-02-2016
Reference
Everett W. Howe
Curves of medium genus with many points
Finite Fields Appl. 47 (2017) 145–160
Comments
Explicit curve: y^2 = 2*x^3 + 11*x, z^2 = x^3 + 11*x^2 + 3, w^2 = x^3 + x.
Tags
Explicit curves
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Upper bound
N
max
= 58
Earlier entry
Later entry
Submitted by
Everett Howe
Date
04-14-2010
Reference
Angelika Köhnlein
Obere Schranken für die Punktenzahl von Kurven über endlichen Körpern
Diplomarbeit, Technische Universität Darmstadt, 4 December 2003.
Comments
A real Weil polynomial we don't know how to eliminate: (x + 3) * (x + 6) * (x + 7)^5
Tags
None
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