Entry details for q = 27 = 128, g = 6
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Lower bound Nmin = 251

Submitted by Everett Howe
Date 05/20/2020
Reference Not available
Comments
Let r be an element of F_128 that satisfies r^7 + r + 1 = 0. Then the curve C over F_128 defined by the two equations
y^2 + y = r^23*x + r^75/(x^2 + x) + 1
z^2 + z = r^75*x + r^101/(x^2 + x) + 1
has genus 6 and has 251 rational points.
Tags Explicit curves, Fibre products of Artin-Schreier curves

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Upper bound Nmax = 258

Submitted by Gerrit Oomens
Date 01/01/1900
Reference M. Zieve
Private communication, 1999
Comments
Tags None

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