manYPoints – Table of Curves with Many Points
Entry details for q =
3
3
= 27
, g =
37
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Lower bound
N
min
= 236
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
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Explicit curves
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Upper bound
N
max
= 325
Earlier 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 + 7) * (x + 8)^30 * (x + 9)^4 * (x^2 + 14*x + 43)
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