manYPoints – Table of Curves with Many Points
Entry details for q = 34 = 81, g = 4
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Lower bound Nmin = 154

Submitted by Gerrit Oomens
Date 01-01-1900
Reference J.P. Hansen
Group codes and algebraic curves
Mathematica Gottingensis, Schriftenreihe SFB Geometrie und Analysis, Heft 9, 1987.
Comments
Tags Quotients of curves with many points

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Explicit Curve     
S.E.Fischer
09-10-2016 15:37
The bound is reached by the curve
2*y^5 + 2*x^3*y^3 + 2*x^2*y^2 + x^5 = 0.
Upper bound Nmax = 154

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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