manYPoints – Table of Curves with Many Points
Entry details for q =
31
1
= 31
, g =
5
Table
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Lower bound
N
min
= 82
Submitted by
M. Q. Kawakita
Date
06-21-2016
Reference
Motoko Qiu Kawakita
Some sextics of genera five and seven attaining the Serre bound
Arithmetic of finite fields (L. Budaghyan and F. Rodríguez-Henríques, eds.), Lecture Notes in Computer Science 11321, Springer, 2018, pp. 264-271
Comments
x^3*y^3+x^5+y^5+2*x^2*y^2+4*x*y+25=0
Tags
Explicit curves
User comments
Reference
Kiran Kedlaya
12-18-2019 05:36
Kawakita's paper including this paper has now appeared; see MR 3905081.
Upper bound
N
max
= 82
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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