manYPoints – Table of Curves with Many Points
Entry details for q =
2
7
= 128
, g =
10
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Lower bound
N
min
= 296
Submitted by
Gerrit Oomens
Date
01-01-1900
Reference
Bradley W. Brock
Private communication, 2004
Comments
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Explicit curves
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Upper bound
N
max
= 345
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 + 19) * (x + 22)^7 * (x^2 + 43*x + 461)
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