manYPoints – Table of Curves with Many Points
Entry details for q = 51 = 5, g = 5
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Lower bound Nmin = 20

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.
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Tags Methods from general class field theory

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Upper bound Nmax = 20

Submitted by Everett Howe
Date 06-30-2016
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
Obtained using version 1.0 of IsogenyClasses.magma, available at linked URL. A real Weil polynomial we don't know how to eliminate: (x + 4)^3 * (x^2 + 2*x - 2)
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