Entry details for q = 51 = 5, g = 4
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Lower bound Nmin = 18

Submitted by C. Ritzenthaler
Date 10/16/2009
Reference H. Niederreiter, C. P. Xing
Cyclotomic function fields, Hilbert class fields and global function fields with many rational places
Acta Arithm. 79 (1997), p. 59-76.
Comments
Tags Methods from general class field theory

User comments

Explicit Curve     
S.E.Fischer
02/24/2017 21:42
Another equation is given by
(x^4 + 4)*y^4 + x^3*y^3 + 3*x*y + 4*x^4 = 0.
Upper bound Nmax = 18

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 * (x + 4)^3
Tags None

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