Entry details for q = 31 = 3, g = 6
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Lower bound Nmin = 14

Submitted by Gerrit Oomens
Date 01/01/1900
Reference H. Niederreiter, C. P. Xing
Cyclotomic function fields, Hilbert class fields and global function fields with many rational places
Acta Arithm. 79 (1997), p. 59-76.
Comments
Tags Towers of curves with many points

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Defining equation     
Isabel Pirsic
06/08/2012 16:10
y^6 + x^2*y^4 + (x^4 + 2*x^3 + x^2)*y^3 + x^4*y^2 + (2*x^6 + x^5 + 2*x^4)*y + 2*x^9 + 2*x^8 + x^7 + x^6

(Reference as above)
Upper bound Nmax = 14

Submitted by Everett Howe
Date 04/14/2010
Reference E. W. Howe and 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
Tags None

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