Entry details for q = 31 = 3, g = 8
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Lower bound Nmin = 17

Submitted by Gerrit Oomens
Date 01-01-1900
Reference Ignacio Luengo, Bartolomé López
Algebraic curves over F_3 with many rational points
pp. 619–626 in: Algebra, arithmetic and geometry with applications (West Lafayette, IN, 2000), C. Christensen, G. Sundaram, A. Sathaye, C. Bajaj (eds.)., Springer-Verlag, Berlin 2004
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Tags Explicit curves

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Defining equation     
Isabel Pirsic
06-08-2012 16:15
(2*x^2 + 2*x)*y^5 + (x^3 + 2*x^2 + x + 2)*y^4 + (2*x^2 + 2*x)*y^3 + (x^4 + x^2 + 1)*y^2 + (2*x^5 + 2*x^4 +
2*x^3 + 2*x^2 + 2*x)*y + 2*x^5 + x^3

(Ref. as above)
Upper bound Nmax = 18

Submitted by Gerrit Oomens
Date 01-01-1900
Reference Ignacio Luengo, Bartolomé López
Algebraic curves over F_3 with many rational points
pp. 619–626 in: Algebra, arithmetic and geometry with applications (West Lafayette, IN, 2000), C. Christensen, G. Sundaram, A. Sathaye, C. Bajaj (eds.)., Springer-Verlag, Berlin 2004
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Tags None

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