Entry details for q = 32 = 9, g = 18
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Lower bound Nmin = 68

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
Comments
Tags Methods from general class field theory

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Upper bound Nmax = 84

Submitted by Everett Howe
Date 04/14/2010
Reference E. W. Howe and K. E. Lauter
Improved upper bounds for the number of points on curves over finite fields
Ann. Inst. Fourier (Grenoble) 53 (2003) 1677–1737.
Comments
A real Weil polynomial we don't know how to eliminate: (x + 4)^10 * (x + 5)^6 * (x^2 + 4*x + 2)
Tags None

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