manYPoints – Table of Curves with Many Points
Entry details for q = 33 = 27, g = 39
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Lower bound Nmin = 271

Submitted by Gerrit Oomens
Date 01-01-1900
Reference Gerard van der Geer, Marcel van der Vlugt
On generalized Reed-Muller codes and curves with many points
J. of Number Theory 72 (1998), p. 257-268.
Comments
Tags Fibre products of Artin-Schreier curves

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Upper bound Nmax = 340

Submitted by Everett Howe
Date 04-14-2010
Reference Yasutaka Ihara
Some remarks on the number of rational points of algebraic curves
J. Fac. Sci. Univ. Tokyo Sect. IA Math. 28 (1981) 721–724 (1982)
Comments
The Ihara bound. Here is a real Weil polynomial that we don't know how to eliminate: (x + 8)^39
Tags Ihara bound

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