manYPoints – Table of Curves with Many Points
Entry details for q = 33 = 27, g = 42
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Lower bound Nmin = 280

Submitted by Gerrit Oomens
Date 01-01-1900
Reference H. Niederreiter, C. P. Xing
A general method of constructing global function fields with many rational places
In: Algorithmic Number Theory (Portland 1998), Lecture Notes in Comp. Science 1423, Springer, Berlin, 1998, p. 555-566.
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Tags Drinfeld modules of rank 1

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Upper bound Nmax = 360

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)
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The Ihara bound. Here is a real Weil polynomial that we don't know how to eliminate: (x + 8)^39 * (x^3 + 20*x^2 + 129*x + 268)
Tags Ihara bound

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