manYPoints – Table of Curves with Many Points
Entry details for q = 27 = 128, A(q)
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Lower bound Nmin = 9.545

Submitted by Peter Beelen
Date 09/14/2026
Reference Alp Bassa, Peter Beelen, Arnaldo Garcia, Henning Stichtenoth
Towers of function fields over non-prime finite fields
Moscow Mathematical Journal 15, pp. 1-29, 2015; arXiv:1202.5922
Comments
Theorem 1.1 from the cited paper gives a lower bound of 105/11 = 9.5454... for q=128.
Tags Towers of curves with many points

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Upper bound Nmax = 10.3137084989848

Submitted by Gerrit Oomens
Date 01/01/1900
Reference Not available
Comments
A(q) \leq sqrt(q)-1
Tags None

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