manYPoints – Table of Curves with Many Points
Entry details for q =
37
1
= 37
, g =
9
Table
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Lower bound
N
min
= 120
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 = (x-1)*(x-17)*(x-35), z^2 = (x-5)*(x-17)*(x-35)*(x-29), w^2 = x*(x-5)*(x-30).
Tags
Explicit curves, Fibre products of hyperelliptic curves
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Upper bound
N
max
= 144
Earlier entry
Later entry
Submitted by
Everett Howe
Date
06-17-2010
Reference
Alexey Zaytsev
Optimal curves of low genus over finite fields
Finite Fields Appl. 37 (2016), 203–224
Comments
Tags
Analysis of Hermitian forms
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