In this volume originally published in 1990 are included papers presented at two meetings; one a workshop on Number Theory and Cryptography and the other the annual meeting of the Australian Mathematical Society. Questions in number theory are of military and commercial importance for the security of communication as they are related to codes and code-breaking. Papers in the volume range from problems in pure mathematics whose study has been intensified by this connection through interesting theoretical and combinatorial problems which arise in the implementation to practical questions that come from banking and telecommunications. The contributors are prominent within their field. The whole volume will be an attractive purchase for all number theorists pure or applied .