Entry details for q = 51 = 5, g = 10
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Lower bound Nmin = 27

Submitted by C. Ritzenthaler
Date 10/16/2009
Reference Niederreiter, Harald; Xing, Chaoping
Global function fields with many rational places over the quinary field
Demonstratio Math. 30 (1997), no. 4, 919--930
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Tags Methods from general class field theory

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Upper bound Nmax = 33

Submitted by Everett Howe
Date 01/05/2012
Reference Everett W. Howe, 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
Comments
A real Weil polynomial we don't know how to eliminate: (x + 3)^6 * (x + 4) * (x^3 + 5*x^2 + x - 8)
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