Entry details for q = 111 = 11, g = 25
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Lower bound Nmin = 96

Submitted by Karl Rökaeus
Date 03-12-2011
Reference Karl Rökaeus
Computer search for curves with many points among unramified covers of genus 2 curves over F_5, F_7, F_9 and F_11
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Tags Methods from general class field theory

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Upper bound Nmax = 127

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. Here is a real Weil polynomial that we don't know how to eliminate: (x + 4)^6 * (x + 5)^16 * (x^3 + 11*x^2 + 36*x + 35)
Tags Oesterlé bound

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