manYPoints – Table of Curves with Many Points
Entry details for q = 22 = 4, g = 9
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Lower bound Nmin = 26

Submitted by Gerrit Oomens
Date 01/01/1900
Reference H. Niederreiter, C. P. Xing
Drinfeld modules of rank 1 and algebraic curves with many rational points II
Acta Arithm. 81 (1997), p. 81-100.
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Tags Drinfeld modules of rank 1

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Upper bound Nmax = 26

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. Here is a real Weil polynomial that we don't know how to eliminate: (x + 1)^4 * (x + 3)^3 * (x + 4)^2
Tags Oesterlé bound

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