manYPoints

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

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.

Submitted by	Everett Howe
Date	04-14-2010
Reference	Jean-Pierre Serre Rational points on curves over finite fields. With contributions by Everett Howe, Joseph Oesterlé and Christophe Ritzenthaler. Edited by Alp Bassa, Elisa Lorenzo García, Christophe Ritzenthaler and René Schoof Documents Mathématiques 18, Société Mathématique de France, Paris, 2020
Comments	The Oesterlé bound
Tags	Oesterlé bound

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