Entry details for q = 52 = 25, g = 24
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Lower bound Nmin = 184

Submitted by Karl Rökaeus
Date 02/10/2011
Reference Karl Rökaeus
Computer search for curves with many points through families over GF(25) and GF(49)
Comments
Tags Methods from general class field theory

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Upper bound Nmax = 221

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
Comments
A real Weil polynomial we don't know how to eliminate: (x + 8)^14 * (x + 9)^7 * (x^3 + 20*x^2 + 129*x + 267)
Tags None

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