How do I create multidim array without for-loops?

Hello.

I'd like to create a multidim array of, for example, 4-th central moments of matrix g (columnwise). I use for-loops:

K = zeros(m,m,m,m);
for l = 1:m
    for k = 1:m
        for i = 1:m
            for j = 1:m
                K(i,j,k,l) = sum(g(:,i) .* g(:,j) .* g(:,l) .* g(:,k));
            end
        end
    end
end

where m is a number of columns in g. How do i evaluate it without for-loops? It takes too much time. thx.