Entry details for q = 24 = 16, g = 6
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Lower bound Nmin = 65

Submitted by Gerrit Oomens
Date 01-01-1900
Reference Beniamino Segre
Introduction to Galois geometries
Atti Accad. Naz. Lincei Mem. Cl. Sci. Fis. Mat. Natur. Sez. Ia (8) 8 (1967) 133–236
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Tags Explicit curves

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Explicit Curve     
S.E.Fischer
12-08-2014 22:23
We can assume such a curve C as an extension F of degree 2 of a maximal curve M of genus 2 as follows:
M:= x^2*y^4 + x^4*y^2 + y^3 + y + 1 ;
F/M := z^2 + z + x^3 + x .
Upper bound Nmax = 65

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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