polydivgfp.m

压缩文件中是Error Correction Coding - Mathematical Methods and Algorithms(Wiley 2005)作者:(Todd K. Moon )的配

function [q,r] = polydivgfp(a,b,p) 
% function [q,r] = polydivgfp(a,b)
% divide a(x)/b(x), and return quotient and remainder in q and r
% using arithmetic in GF(p)
%
% Coefficients are assumed to be in Matlab standard order (highest order first)

% Copyright 2004 by Todd K. Moon
% Permission is granted to use this program/data
% for educational/research only

m = length(a);
n = length(b);
q = 0;
b1inv = mod(b(1)^(p-2),p);
for j=1:m-n+1
  q(j) = mod(a(j)*b1inv,p);
  for l=2:n
    a(l+j-1) = mod(a(l+j-1) - q(j)*b(l),p);
  end
end
r = mod(a(m-n+2:m),p);
if(all(r==0))
  r = 0;
end