Entry details for q = 23 = 8, g = 4
Table About Recent changes References
Username
Password
Log in Register

Lower bound Nmin = 25

Submitted by Gerrit Oomens
Date 01-01-1900
Reference Gerard van der Geer, Marcel 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 defining equation     
Isabel Pirsic
10-16-2012 13:52
y^4 +
(x^6 + x^4 + x^2)*y^2 +
(x^7 + x^5)*y +
x^12 + a^4*x^10 + a^2*x^9 + a^2*x^8 + a^2*x^7 +
a^5*x^6 + x^4 + x^2,

where a^3+a+1=0.
(From: Niederreiter,Xing, Algebraic curves […] characteristic 2)
Upper bound Nmax = 25

Submitted by Everett Howe
Date 04-14-2010
Reference David Savitt
The maximum number of points on a curve of genus 4 over F_8 is 25
Canad. J. Math. 55 (2003) 331–352.
Comments
Tags None

User comments

No comments have been made.