Entry details for q = 73 = 343, g = 8
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Lower bound Nmin = 580

Submitted by thieyacinetop@yahoo.fr
Date 11/18/2016
Reference Thiéyacine Top
Number of points on a family of curves over a finite field
arXiv:1610.02978 [math.NT]
Comments
y^2 = x^5 + 4*x^3 + 6*x^2 + 3*x + 1
z^2 = x^5 + 2*x^4 + 3*x^3 + 2*x + 5
Tags Methods from general class field theory

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Upper bound Nmax = 638

Submitted by Everett Howe
Date 06/17/2010
Reference Alexey Zaytsev
Optimal curves of low genus over finite fields
Finite Fields Appl. 37 (2016), 203–224
Comments
Tags Analysis of Hermitian forms

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