Entry details for q = 52 = 25, g = 22
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Lower bound Nmin = 174

Submitted by Everett Howe
Date 10/24/2021
Reference Rohit Gupta, Erik A. R. Mendoza, and Luciane Quoos
Reciprocal polynomials and curves with many points over a finite field
Comments
Explicit curve given by the two equations y^3 = (x^2 + 1)^2 / x^2 and z^6 = (x^2 + 4) * (4*x^2 + 1) / x^5.
Tags Explicit curves

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Upper bound Nmax = 208

Submitted by Everett Howe
Date 04/14/2010
Reference Yasutaka Ihara
Some remarks on the number of rational points of algebraic curves
J. Fac. Sci. Univ. Tokyo Sect. IA Math. 28 (1981) 721–724 (1982)
Comments
The Ihara bound. Here is a real Weil polynomial that we don't know how to eliminate: (x + 6) * (x + 8)^14 * (x + 9)^6 * (x + 10)
Tags Ihara bound

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