Entry details for q = 311 = 31, g = 5
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Lower bound Nmin = 82

Submitted by M. Q. Kawakita
Date 06-21-2016
Reference Motoko Qiu Kawakita
Some sextics of genera five and seven attaining the Serre bound
Arithmetic of finite fields (L. Budaghyan and F. Rodríguez-Henríques, eds.), Lecture Notes in Computer Science 11321, Springer, 2018, pp. 264-271
Tags Explicit curves

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Kiran Kedlaya
12-18-2019 05:36
Kawakita's paper including this paper has now appeared; see MR 3905081.
Upper bound Nmax = 84

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
A real Weil polynomial we don't know how to eliminate: (x + 8) * (x + 11)^4
Tags None

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