manYPoints – Table of Curves with Many Points
Entry details for q = 27 = 128, g = 2
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Lower bound Nmin = 172

Submitted by Gerrit Oomens
Date 01-01-1900
Reference Jean-Pierre Serre
Nombre de points des courbes algébriques sur F_q
Sém. de Théorie des Nombres de Bordeaux, 1982/83, exp. no. 22. (= Oeuvres III, No. 129, p. 664-668).
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Tags Formulas for N_q(1) and N_q(2)

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Explicit Curve     
S.E.Fischer
09-04-2016 12:03
The bound is reached by the curve
y^3+y^2+x^6*(x^3+x)=0.
Upper bound Nmax = 172

Submitted by Gerrit Oomens
Date 01-01-1900
Reference Jean-Pierre Serre
Rational points on curves over finite fields. With contributions by Everett Howe, Joseph Oesterlé and Christophe Ritzenthaler. Edited by Alp Bassa, Elisa Lorenzo García, Christophe Ritzenthaler and René Schoof
Documents Mathématiques 18, Société Mathématique de France, Paris, 2020
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