manYPoints – Table of Curves with Many Points
Entry details for q =
3
2
= 9
, g =
18
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Lower bound
N
min
= 68
Earlier entry
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
N
max
= 84
Earlier entry
Submitted by
Everett Howe
Date
04/14/2010
Reference
E. W. Howe, 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)
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None
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