manYPoints – Table of Curves with Many Points
Entry details for q = 34 = 81, g = 7
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Lower bound Nmin = 196

Submitted by Everett Howe
Date 09-02-2016
Reference Everett W. Howe
Curves of medium genus with many points
Finite Fields Appl. 47 (2017) 145–160
Comments
Explicit curve: y^2 = x^6 + r^70*x^2 + r^50, z^2 = x^6 + r^50*x^2 + r^70, where r^4 + 2*r^3 + 2 = 0.
Tags Explicit curves

User comments

Explicit Curve     
S.E.Fischer
03-20-2017 16:20
Another equation is given by
2*y^6 + x^5*y^5 + 2*x^4*y^4 + 2*x^3*y^3 + 2*x^2*y^2 + x*y + x^6 = 0.
Upper bound Nmax = 208

Submitted by Gerrit Oomens
Date 01-01-1900
Reference M. Kawakita
Kummer curves and their fibre products with many rational points
AAECC 14 (2004), p. 55-64.
Comments
Tags None

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