manYPoints – Table of Curves with Many Points
Entry details for q =
47
1
= 47
, g =
8
Table
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Lower bound
N
min
= 132
Submitted by
thieyacinetop@yahoo.fr
Date
11-14-2016
Reference
Thiéyacine Top
Number of points on a family of curves over a finite field
arXiv:1610.02978 [math.NT]
Comments
y^2=x^5 + 36*x^4 + 34*x^3 + 36*x^2 + 13*x + 9
y^2=x^5 - 6*x^3 + 8*x^2 - 5*x + 12
Tags
Methods from general class field theory
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Upper bound
N
max
= 149
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 3.2
Tags
Stöhr-Voloch bound
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