manYPoints – Table of Curves with Many Points
Entry details for q = 51 = 5, g = 6
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Lower bound Nmin = 21

Submitted by C. Ritzenthaler
Date 10-16-2009
Reference Harald Niederreiter, Chaoping Xing
Low-discrepancy sequences and global function fields with many rational places.
Finite Fields Appl. 2 (1996), no. 3, 241--273
Comments
Explicit curve : y^5-y-x*(x-1)*(x-2)*(x-3)
Tags Explicit curves

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Upper bound Nmax = 24

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)^2 * (x^2 + 6*x + 7)^2
Tags None

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