n=15; k=5;
cnt = 0;
gen_pol = [1 1 1 0 0 1 0 1 1 0 1]; % g(x) = g0 + g1*x + g2*x^2 + g5*x^5 ... etc
gen_matx = zeros(10,20);
for j =0:n-k	
	for i=1:n-k
		gen_matx(i,i+j)= gen_pol(1+j);	
	end
end


gen_matx