Entry details for q = 22 = 4, g = 5
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Lower bound Nmin = 17

Submitted by Gerrit Oomens
Date 01/01/1900
Reference H. Stichtenoth
Algebraic-geometric codes associated to Artin-Schreier extensions of F_q(z)
In: Proc. 2nd Int. Workshop on Alg. and Comb. Coding Theory, Leningrad (1990), p. 203-206.
Comments
Tags Fibre products of Artin-Schreier curves

User comments

Explicit Curve     
S.E.Fischer
12/10/2014 23:53
We can assume such a curve C as an extension E of degree 2 of a amaximal curve F of genus 1 as follows:
F := y^2 + y + x^3 ;
E/F := z^2 + z + y*x^2 + x *y^2 .
Upper bound Nmax = 17

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 * (x + 3) * (x + 4) * (x^2 + 5*x + 5)
Tags None

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