manYPoints

Submitted by	Everett Howe
Date	08-30-2011
Reference	Everett W. Howe New bounds on the maximum number of points on genus-4 curves over small finite fields Arithmetic, Geometry, Cryptography and Coding Theory (Y. Aubry, C. Ritzenthaler, and A. Zykin, eds.), Contemporary Mathematics 574, American Mathematical Society, Providence, RI, 2012, pp. 69–86
Comments	Here is a genus-4 curve with 92 points: y^2 = x^3 + 2x + 1, z^2 = x^3 - 6x^2 + 11*x
Tags	Explicit curves

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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 + 10) * (x + 13)^3
Tags	None

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