This text offers an introduction to error-correcting linear codes for researchers and graduate students in mathematics, computer science and engineering. The book differs from other standard texts in its emphasis on the classification of codes by means of isometry classes. The relevant algebraic are developed rigorously. Cyclic codes are discussed in great detail. In the last four chapters these isometry classes are enumerated, and representatives are constructed algorithmically.

This text offers an introduction to error-correcting linear codes for researchers and graduate students in mathematics, computer science and engineering. The book differs from other standard texts in its emphasis on the classification of codes by means of isometry classes. The relevant algebraic are developed rigorously. Cyclic codes are discussed in great detail. In the last four chapters these isometry classes are enumerated, and representatives are constructed algorithmically.

This book arose from the Euroconference "Algebraic Combinatorics and Applications" held in Gössweinstein, Germany, in September 1999, where both senior and young researchers in pure mathematics, applied mathematics, computer science, physics, and chemistry from different European countries met. The main theme of the conference was group actions in various areas, a wide spectrum of which is presented in these proceedings. This volume will be a useful tool for researchers and graduate students in discrete mathematics and theoretical computer science.

Die algebraische Codierungstheorie ist ein neues Teilgebiet der diskreten Mathematik, dessen Ergebnisse bei der sicheren Datenubermittlung angewandt werden. Das Buch stellt im ersten Teil ausfuhrlich die Grundlagen der algebraischen Codierungstheorie dar. Im zweiten Teil untersuchen die Autoren lineare Codes. Dabei legen sie besonderen Wert auf die Decodierung der behandelten Codes anhand eines effizienten Mehrheitsentscheidungsverfahrens.