Entry details for q = 21 = 2, g = 35
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Lower bound Nmin = 29

Submitted by Gerrit Oomens
Date 01/01/1900
Reference R. Auer
Ray class fields of global function fields with many rational places
Acta Arith. 95 (2000), p. 97-122.
Comments
Tags Methods from general class field theory

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Reference corrected     
Isabel Pirsic
06/19/2012 16:16
G. van der Geer
Hunting for curves over finite fields with many points
arXiv:0902.3882
Defining equation     
Isabel Pirsic
06/19/2012 16:09
y^16+
(x^22+x^20+x^19+x^15+x^14+x^13+x^9+x^8+1)*y^8+
(x^36+x^30+x^29+x^25+x^22+x^19+x^17+x^15+x^9+x^8)*y^4+
(x^40+x^38+x^36+x^33+x^32+x^30+x^29+x^28+x^27+x^26+x^24+x^22+x^19+x^18+x^17+x^16+x^14+x^13)*y^2+
(x^40+x^38+x^33+x^32+x^28+x^27+x^26+x^25+x^24+x^22+x^20+x^19+x^18+x^16)*y+
x^56+x^54+x^52+x^50+x^45+x^42+x^41+x^40+x^39+x^38+
x^34+x^33+x^30+x^29+x^27+x^22+x^21+x^19+x^18+x^16+x^15+x^13+x^12+x^8

Ref: G. van der Geer, M. 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.
Upper bound Nmax = 31

Submitted by Gerrit Oomens
Date 01/01/1900
Reference R. Auer
Ray class fields of global function fields with many rational places
Acta Arith. 95 (2000), p. 97-122.
Comments
Tags None

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