manYPoints – Table of Curves with Many Points
Entry details for q = 22 = 4, g = 39
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Lower bound Nmin = 65

Submitted by Gerrit Oomens
Date 01-01-1900
Reference Gerard van der Geer, Marcel van der Vlugt
Constructing curves over finite fields with many rational points by solving linear equations
In: Applications of Curves over Finite Fields, M. Fried Ed., Contemporary Math. 245, AMS, Providence, 1999, p. 41-47.
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Tags Fibre products of Artin-Schreier curves

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Upper bound Nmax = 75

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
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The Oesterlé bound
Tags Oesterlé bound

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