Oesterle bound

Computation of Oesterle's upper bound on the number of rational points on curves over finite fields

% Computation of Oesterle's upper bound on the number of
% rational points of smooth projective algebraic curve over finite % field

% Inputs
% q: size of fintie field (q=2 for example)
% g: genus (a positive integer)

% Output
% N: Upper bound on number rational points for curve with genus g over GF(q)

% Author: Kenneth Shum

% Example:
% >> oesterle(2,18)
%
% ans =
%
% 19
%

% Reference:
% S. H. Hansen, "Rational points on curves over finite fields", 1996.
% H. Niederreiter and C. Xing, "Rational points on curves over
% finite fields", Cambridege university press, 2001.
% G. van der Geer and M. van der Vlugt, "Tables of curves with %many rational points", http://www.manypoints.org