manYPoints – Table of Curves with Many Points
Entry details for q =
13
1
= 13
, g =
31
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Lower bound
N
min
= 130
Submitted by
Evie Roebroek
Date
05-26-2021
Reference
Evie Roebroek
Using class field theory to find function fields with many rational places
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Methods from general class field theory
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Upper bound
N
max
= 170
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
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None
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