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
= 67
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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