manYPoints – Table of Curves with Many Points
Entry details for q =
3
4
= 81
, g =
5
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Lower bound
N
min
= 168
Earlier entry
Submitted by
Everett Howe
Date
03-15-2017
Reference
Everett W. Howe
Curves of medium genus with many points
Finite Fields Appl. 47 (2017) 145–160
Comments
Explicit curve: y^2 = x^5 - 1, z^2 = x^5 + s^2*x^4 + s*x^3 + s^2*x^2 - x + 1, where s^2 - s - 1 = 0.
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Explicit curves
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Upper bound
N
max
= 172
Later entry
Submitted by
Gerrit Oomens
Date
01-01-1900
Reference
S. Sémirat
Problèmes de nombres de classes pour les corps de fonctions et applications
Thèse, Université Pierre et Marie Curie, Paris, 2000.
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None
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