This volume contains all of the papers presented at the "Advanced In- ternational Workshop on Sequences: Combinatorics, Compression, Se- curity, and Transmission" held Monday June 6 through Saturday June 11, 1988 at the Palazzo Serra di Cassano in Naples and at the Hotel Covo dei Saraceni in Positano, Italy. The event was organized by the Departimento di Informatica ed Ap- plicazioni of the University of Salerno in cooperation with the Istituto Italiano per gli Studi Filosofici of Naples and the National Research Council of Italy (C.N.R.). I wish to express my warmest thanks to the members of the Program Committee: Professor B. Bose, Professor S. Even, Professor Z. Galil, Professor A. Lempel, Professor A. Restivo; and to my collaborators: Professor F. De Santis and Professor U. Vaccaro; for their effective, ceaseless help both during the organization of the workshop and dur- ing the preparation ofthis volume. Finally, I would like to express my sincere gratitude to all the participants in the Workshop.