Entry details for q = 32 = 9, g = 8
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Lower bound Nmin = 42

Submitted by Gerrit Oomens
Date 01/01/1900
Reference G. van der Geer
Hunting for curves over finite fields with many points
Tags Methods from general class field theory

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Explicit Curve     
02/24/2017 20:52
Another equation is given by
y^8 + 2*x^4*y^4 + x^3*y^3 + 2*x^2*y^2 + 2*x*y + x^8 = 0.
Upper bound Nmax = 46

Submitted by Everett Howe
Date 04/14/2010
Reference Everett W. Howe and Kristin E. Lauter
New methods for bounding the number of points on curves over finite fields
Geometry and Arithmetic (C. Faber, G. Farkas, and R. de Jong, eds.), European Mathematical Society, 2012, pp. 173–212
A real Weil polynomial we don't know how to eliminate: (x + 5)^4 * (x + 6) * (x^3 + 10*x^2 + 28*x + 20)
Tags None

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