manYPoints – Table of Curves with Many Points
Entry details for q = 25 = 32, g = 45
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Lower bound Nmin = 313

Submitted by Gerrit Oomens
Date 01-01-1900
Reference Gerard van der Geer, Marcel van der Vlugt
Kummer covers with many points
Finite Fields Appl. 6 (2000) 327–341
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Tags Explicit curves

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Upper bound Nmax = 427

Submitted by Everett Howe
Date 04-14-2010
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 + 8)^5 * (x + 9)^37 * (x^3 + 21*x^2 + 140*x + 291)
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