Codes and recurrences over finite rings and modules (Q1596165)

The paper addresses the following directions of the theory of linear codes and polylinear recurrences over the finite rings and modules which generalize the classical results for finite fields: dual codes and Mac-Williams identity; comparison of properties of linear codes over the fields and modules; generalization of the Hamming weight for the finite modules; representation of codes over fields by the linear codes over modules; representation of linear codes over modules by the linear recurrences ; recursive MDP-codes; periodic polylinear recurrences; pseudorandom sequences generated by the polylinear recurrences.