Entry details for q = 21 = 2, g = 28
Table About Recent changes References
Username
Password
Log in Register

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 Everett Howe
Date 04/14/2010
Reference Jean-Pierre Serre
Rational points on curves over finite fields
Notes by Fernando Q. Gouvêa of lectures at Harvard University, 1985.
Comments
The Oesterlé bound
Tags Oesterlé bound

User comments

No comments have been made.