manYPoints – Table of Curves with Many Points
Entry details for q = 27 = 128, g = 30
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Lower bound Nmin = 609

Submitted by Gerrit Oomens
Date 01/01/1900
Reference G. van der Geer, M. van der Vlugt
Quadratic forms, generalized Hamming weights of codes and curves with many points
J. of Number Theory 59 (1996), p. 20-36.
Comments
Tags Fibre products of Artin-Schreier curves

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Upper bound Nmax = 784

Submitted by Everett Howe
Date 04/14/2010
Reference E. W. Howe, K. E. Lauter
Improved upper bounds for the number of points on curves over finite fields
Ann. Inst. Fourier (Grenoble) 53 (2003) 1677–1737.
Comments
A real Weil polynomial we don't know how to eliminate: (x + 22)^28 * (x^2 + 39*x + 371)
Tags None

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