manYPoints – Table of Curves with Many Points
Entry details for q = 31 = 3, g = 40
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Lower bound Nmin = 56

Submitted by Gerrit Oomens
Date 01-01-1900
Reference G. van der Geer, C.P. Xing
Constructing curves over finite fields by narrow ray class fields
Unpublished manuscript, 2000.
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Tags Methods from general class field theory

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Upper bound Nmax = 57

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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