manYPoints – Table of Curves with Many Points
Entry details for q =
89
1
= 89
, g =
9
Table
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Lower bound
N
min
= 224
Earlier entry
Submitted by
Everett Howe
Date
08-12-2025
Reference
Motoko Qiu Kawakita
Fibre products of three hyperelliptic curves with many points
preprint
Comments
Explicit curve: y^2 = 3*(x-1)*(x-31)*(x-45)*(x-47), z^2 = 3*(x-1)*(x-31)*(x-51)*(x-68), w^2 = 3*x.
Tags
Explicit curves, Fibre products of hyperelliptic curves
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Upper bound
N
max
= 250
Earlier entry
Later 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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