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 102 points: y^2 = x^3 + x, z^2 = x^3 + x^2 + x + 4
Tags	Explicit curves

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Submitted by	Everett Howe
Date	04-14-2010
Reference	Jean-Pierre Serre Sur le nombre de points rationnels d'une courbe algébrique sur un corps fini C. R. Acad. Sci. Paris Sér. I Math. 296 (1983), 397–402. (= Œuvres III, No. 128, 658–663).
Comments	The Hasse-Weil-Serre bound
Tags	Hasse-Weil-Serre bound

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