manYPoints – Table of Curves with Many Points
Entry details for q =
59
1
= 59
, g =
5
Table
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Lower bound
N
min
= 128
Submitted by
Everett Howe
Date
08-12-2016
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 + 7*x^4 + 7*x^2 + 1, z^2 = x^6 + 20*x^5 + 36*x^4 + 19*x^3 + 42*x^2 + 58*x + 7.
Tags
Explicit curves
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Upper bound
N
max
= 133
Earlier 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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