manYPoints – Table of Curves with Many Points
Entry details for q =
41
1
= 41
, g =
6
Table
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Lower bound
N
min
= 104
Earlier entry
Submitted by
Everett Howe
Date
08-13-2016
Reference
Everett W. Howe
Curves of medium genus with many points
Finite Fields Appl. 47 (2017) 145–160
Comments
Explicit curve: y^2 = f1*f2, z^2 = f1*f3, where f1 = x^2 + 38, f2 = x^3 + 8*x^2 + 30*x + 3, f3 = x^3 + 17*x.
Tags
Explicit curves
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Upper bound
N
max
= 112
Earlier 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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