Discrete Schr\"{o}dinger equation on finite field and associated   cellular automaton
  The discrete Schr\"{o}dinger equation with potential belonging to $\F_{2}$ is solved explicitly. On this base the associated (1+1)-dimensional cellular automaton is examined and corresponding set of integrals of motions is constructed. 
A. K. Pogrebkov (Steklov Mathematical Institute, Moscow)