manYPoints – Table of Curves with Many Points
Entry details for q =
7
3
= 343
, g =
7
Table
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Lower bound
N
min
= 576
Earlier entry
Submitted by
Everett Howe
Date
09-02-2016
Reference
Everett W. Howe
Curves of medium genus with many points
Finite Fields Appl. 47 (2017) 145–160
Comments
Explicit curve: y^2 = x^6 + r^83*x^4 + r^124*x^2 + r^138, z^2 = x^6 + r^253*x^4 + r^318*x^2 + r^297, where r^3 + 6*r^2 + 4 = 0.
Tags
Explicit curves
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Upper bound
N
max
= 601
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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