Entry details for q = 31 = 3, g = 9
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Lower bound Nmin = 19

Submitted by Gerrit Oomens
Date 01-01-1900
Reference Gerard van der Geer, Marcel van der Vlugt
How to construct curves over finite fields with many points
In: Arithmetic Geometry, (Cortona 1994), F. Catanese Ed., Cambridge Univ. Press, Cambridge, 1997, p. 169-189.
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Tags Fibre products of Artin-Schreier curves

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Defining equation     
Isabel Pirsic
06-08-2012 16:31
y^9 + (2*x^6 + 2*x^4 + 2*x^2 + 2)*y^3 + (x^6 + x^4 + x^2)*y + 2*x^12 + 2*x^9 + 2*x^8 + x^7 + 2*x^6 + x^5 + 2*x^4

Reference:
H. Niederreiter, C. P. Xing Cyclotomic function fields, Hilbert class fields and global function fields with many rational places
Acta Arithm. 79 (1997), p. 59-76.
Upper bound Nmax = 19

Submitted by Gerrit Oomens
Date 01-01-1900
Reference Gerard van der Geer, Marcel van der Vlugt
How to construct curves over finite fields with many points
In: Arithmetic Geometry, (Cortona 1994), F. Catanese Ed., Cambridge Univ. Press, Cambridge, 1997, p. 169-189.
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