Entry details for q = 23 = 8, g = 11
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Lower bound Nmin = 48

Submitted by Gerrit Oomens
Date 01/01/1900
Reference G. van der Geer, M. van der Vlugt
Tables for the function N_q(g)
Final update, March 19, 1998.
Comments
Tags Fibre products of Artin-Schreier curves

User comments

Explicit Curve     
S.E.Fischer
12/13/2014 05:53
We can assume such a curve C as an extension E of degree 2 of the Klein curve K as follows:
K:= y^4 + (x^2 + x + 1)*y^2 + (x^2 + x)*y + x^4 + x^2 + 1 ;
E/K := z^2 + z + x^3 +x +y^3 +y .
Upper bound Nmax = 53

Submitted by Everett Howe
Date 04/14/2010
Reference E. W. Howe and 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 + 4)^11
Tags None

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