manYPoints – Table of Curves with Many Points
Entry details for q =
3
4
= 81
, g =
14
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Lower bound
N
min
= 278
Submitted by
Gerrit Oomens
Date
01-01-1900
Reference
Arnaldo Garcia, Alvaro Garzon
On Kummer covers with many rational points over finite fields
J. Pure Appl. Algebra 185 (2003) 177–192
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Explicit curves
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Upper bound
N
max
= 330
Earlier entry
Later 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 can't eliminate: (x + 14) * (x + 18)^13
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