manYPoints – Table of Curves with Many Points
Entry details for q = 31 = 3, g = 39
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Lower bound Nmin = 48

Submitted by Gerrit Oomens
Date 01/01/1900
Reference R. Auer
Curves over finite fields with many rational points obtained by ray class fields extensions
In: Algebraic Number Theory (Leiden 2000), Lecture Notes in Computer Science 1838, Springer, Berlin, 2000, p. 127-134.
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Tags Methods from general class field theory

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Upper bound Nmax = 56

Submitted by Everett Howe
Date 04/14/2010
Reference Jean-Pierre Serre
Rational points on curves over finite fields
Notes by Fernando Q. Gouvêa of lectures at Harvard University, 1985.
Comments
The Oesterlé bound
Tags Oesterlé bound

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