Submitted by 
Gerrit Oomens 
Date 
01/01/1900 
Reference 
H. Niederreiter, C. P. Xing Global function fields fields with many rational points over the ternary field Acta Arithm. 83 (1998), p. 6586.

Comments


Tags 
Towers of curves with many points 
User comments
Defining equation

Isabel Pirsic
06/08/2012 17:26

y^18 +
(x^6 + x^4 + x^2 + 1)*y^12 +
(2*x^6 + 2*x^4 + 2*x^2)*y^10 +
(x^12 + x^9 + x^8 + 2*x^7 + x^6 + 2*x^5 + x^4)*y^9 +
(x^12 + 2*x^10 + x^6 + 2*x^2 + 1)*y^6 +
(x^12 + 2*x^10 + 2*x^4 + x^2)*y^4 +
(2*x^18 + 2*x^16 + 2*x^15 + x^14 + x^11 + x^9 + 2*x^7 + x^6 + x^5 + 2*x^4)*y^3 +
(x^12 + 2*x^10 + 2*x^6 + x^4)*y^2 +
(x^18 + x^16 + x^15 + 2*x^14 + 2*x^12 + 2*x^11 + x^9 + 2*x^8 +
2*x^7 + x^6)*y +
2*x^27 + 2*x^22 + x^19 + 2*x^17 + x^13 + 2*x^10 + x^9 + x^8
(reference as above, calculated with Magma)


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