manYPoints – Table of Curves with Many Points
Entry details for q =
61
1
= 61
, g =
7
Table
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Lower bound
N
min
= 156
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 = 2*x^3 + 31*x^2 + 28*x, z^2 = 2*x^3 + 24*x^2 + 26*x + 58, w^2 = 2*x^3 + 12*x^2 + 55*x.
Tags
Explicit curves
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Upper bound
N
max
= 164
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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