manYPoints – Table of Curves with Many Points
Entry details for q = 27 = 128, g = 5
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Lower bound Nmin = 227

Submitted by Gerrit Oomens
Date 01-01-1900
Reference O. Moreno, D. Zinoviev, V. Zinoviev
On several new projective curves over F_2 of genus 3, 4 and 5
IEEE Trans. Info. Th. 41 (1995), p. 1643-1645.
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Tags Explicit curves

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Upper bound Nmax = 234

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^2 + 43*x + 461) * (x^3 + 62*x^2 + 1276*x + 8713)
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