manYPoints – Table of Curves with Many Points
Entry details for q = 22 = 4, g = 13
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Lower bound Nmin = 33

Submitted by Gerrit Oomens
Date 01/01/1900
Reference H. Stichtenoth
Algebraic-geometric codes associated to Artin-Schreier extensions of F_q(z)
In: Proc. 2nd Int. Workshop on Alg. and Comb. Coding Theory, Leningrad (1990), p. 203-206.
Comments
Tags Fibre products of Artin-Schreier curves

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Upper bound Nmax = 33

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)^3 * (x + 2)^2 * (x + 4)^3 * (x^5 + 9*x^4 + 26*x^3 + 22*x^2 - 11*x - 16)
Tags Oesterlé bound

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