Entry details for q = 231 = 23, g = 5
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Lower bound Nmin = 66

Submitted by Everett Howe
Date 01/08/2022
Reference Not available
Comments
A search through the genus-5 double covers of genus-2 curves yielded the following example with 66 points:

y^2 = x^6 - 10*x^4 + 4*x^2 - 6
z^2 = y + x^4 + 5*x^2 - 2
Tags Analysis and enumeration, Explicit curves

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Upper bound Nmax = 66

Submitted by Everett Howe
Date 06/16/2016
Reference Karl-Otto Stöhr and José Felipe Voloch
Weierstrass points and curves over finite fields
Proc. London Math. Soc. (3) Vol. 52, No. 1 (1986) 1–19
Comments
Proposition 3.1
Tags Stöhr-Voloch bound

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