manYPoints – Table of Curves with Many Points
Entry details for q =
23
1
= 23
, g =
5
Table
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Lower bound
N
min
= 66
Earlier entry
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
N
max
= 66
Earlier entry
Submitted by
Everett Howe
Date
06-16-2016
Reference
Karl-Otto Stöhr, 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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