manYPoints – Table of Curves with Many Points
Entry details for q = 24 = 16, g = 9
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Lower bound Nmin = 72

Submitted by Gerrit Oomens
Date 01-01-1900
Reference H. Niederreiter, C. P. Xing
Algebraic curves with many rational points over finite fields of characteristic 2
In: Proc. Number Theory Conference (Zakopane 1997), de Gruyter, 1999, Berlin, p. 359-380.
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Tags Drinfeld modules of rank 1

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Upper bound Nmax = 81

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 + 6)^4 * (x + 8)^5
Tags Ihara bound

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