manYPoints – Table of Curves with Many Points
Entry details for q =
2
2
= 4
, g =
20
Table
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Lower bound
N
min
= 40
Submitted by
Gerrit Oomens
Date
01-01-1900
Reference
Roland Auer
Curves over finite fields with many rational points obtained by ray class fields extensions
pp. 127–134 in: Algorithmic Number Theory (Leiden, 2000), W. Bosma (ed.), Lecture Notes in Computer Science 1838, Springer-Verlag, Berlin, 2000
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Tags
Methods from general class field theory
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Upper bound
N
max
= 45
Earlier entry
Submitted by
Everett Howe
Date
04-14-2010
Reference
Jean-Pierre Serre
Rational points on curves over finite fields. With contributions by Everett Howe, Joseph Oesterlé and Christophe Ritzenthaler. Edited by Alp Bassa, Elisa Lorenzo García, Christophe Ritzenthaler and René Schoof
Documents Mathématiques 18, Société Mathématique de France, Paris, 2020
Comments
The Oesterlé bound
Tags
Oesterlé bound
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