Entry details for q = 34 = 81, g = 13
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Lower bound Nmin = 298

Submitted by Gerard van der Geer
Date 05-21-2009
Reference Chaoping Xing, Sze Ling Yeo
Construction of global function fields from linear codes and vice versa
Trans. Amer. Math. Soc. 361 (2009), no. 3, 1333–1349
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Tags Methods from general class field theory

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Upper bound Nmax = 312

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 + 14) * (x + 18)^12
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