manYPoints – Table of Curves with Many Points
Entry details for q =
11
1
= 11
, g =
10
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Lower bound
N
min
= 54
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
= 63
Submitted by
Everett Howe
Date
04-14-2010
Reference
Everett W. Howe, Kristin E. Lauter
New methods for bounding the number of points on curves over finite fields
Geometry and Arithmetic (C. Faber, G. Farkas, and R. de Jong, eds.), European Mathematical Society, 2012, pp. 173–212
Comments
A real Weil polynomial we don't know how to eliminate: (x + 4) * (x + 5)^3 * (x + 6)^4 * (x^2 + 8*x + 10)
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None
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