manYPoints – Table of Curves with Many Points
Entry details for q = 23 = 8, g = 8
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Lower bound Nmin = 35

Submitted by Gerrit Oomens
Date 01-01-1900
Reference Bradley W. Brock
Private communication, 2004
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Tags Explicit curves

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Explicit Curve     
S.E.Fischer
03-20-2017 16:08
The number of points is reached by the curve
y^7 + x^3*y^3 + x^7 + 1 = 0.
Upper bound Nmax = 42

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 + 5)^5 * (x^3 + 8*x^2 + 19*x + 13)
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