Entry details for q = 26 = 64, g = 3
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Lower bound Nmin = 113

Submitted by Gerrit Oomens
Date 01-01-1900
Reference M. Wirtz
Konstruktion und Tabellen linearer Codes
Westfälische Wilhelms-Universität Münster, 1991.
Comments
Tags Explicit curves

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Explicit Curve     
S.E.Fischer
09-04-2016 11:57
The bound is reached by the curve
y^3 + y + x^9 = 0.
Explicit example     
Everett Howe
05-20-2010 22:10
The plane quartic
y^4 + y^2 + y + x^3 = 0
has 113 points over F_64.
Upper bound Nmax = 113

Submitted by Everett Howe
Date 06-10-2010
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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