Period of K System Generator of Pseudorandom Numbers
  We analyze the structure of the periodic trajectories of the matrix generator of pseudorandom numbers which has been proposed earlier. The structure of the periodic trajectories becomes more transparent when the rational sublattice coincides with the Galois field $GF[p]$. We are able to compute the period of the trajectories as a function of $p$ and the dimension of the matrix $d$. 
N.Z.Akopov, G.G.Athanasiu, E.G.Floratos and G.K.Savvidy