Entry details for q = 21 = 2, g = 28
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Lower bound Nmin = 25

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

User comments

My Reference corrected     
Isabel Pirsic
06/19/2012 16:17
G. van der Geer
Hunting for curves over finite fields with many points
arXiv:0902.3882
Defining equation     
Isabel Pirsic
06/19/2012 15:52
y^16+(x^32+x^28+x^25+x^23+x^21+x^20+x^18+x^17+x^11+x^10+x^9+x^8+x^4)*y^8+
(x^44+x^41+x^40+x^37+x^36+x^35+x^34+x^32+x^30+x^28+x^21+x^19+x^15+x^14+x^13+x^11+x^10+x^8)*y^4+
(x^48+x^47+x^46+x^45+x^44+x^43+x^39+x^38+x^34+x^31+x^30+x^29+x^28+x^27+x^23+x^21+x^20+x^18+x^16+x^14+x^13+x^12)*y^2+
(x^49+x^48+x^46+x^45+x^43+x^39+x^38+x^37+x^35+x^33+x^29+x^27+x^25+x^24+x^21+x^19+x^17+x^15)*y+
x^68+x^60+x^59+x^57+x^53+x^52+x^45+x^44+x^43+x^41+x^36+x^29+x^21+x^20

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 = 26

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

User comments

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