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Oesterle bound 1.0

  Date Added: May 01, 2013  |  Visits: 222

Oesterle bound

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% 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

Requirements: No special requirements
Platforms: Matlab
Keyword: Author Curves Fields Hansen Kenneth Oesterle Rational Reference Upper
Users rating: 0/10

License: Shareware Size: 10 KB
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