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.
Tags Fibre products of Artin-Schreier curves

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Explicit Curve     
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.
Tags None

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