manYPoints – Table of Curves with Many Points
Entry details for q =
7
3
= 343
, g =
8
Table
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Lower bound
N
min
= 580
Submitted by
thieyacinetop@yahoo.fr
Date
11-18-2016
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 + 4*x^3 + 6*x^2 + 3*x + 1
z^2 = x^5 + 2*x^4 + 3*x^3 + 2*x + 5
Tags
Methods from general class field theory
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Upper bound
N
max
= 638
Earlier entry
Later 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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