Codes and Automata
This major revision of Berstel and Perrin's classic Theory of Codes has been rewritten with a more modern focus and a much broader coverage of the subject. The concept of unambiguous automata, which is intimately linked with that of codes, now plays a significant role throughout the book, reflecting developments of the last 20 years. This is complemented by a discussion of the connection between codes and automata, and new material from the field of symbolic dynamics. The authors have also explored links with more practical applications, including data compression and cryptography. The treatment remains self-contained: there is background material on discrete mathematics, algebra and theoretical computer science. The wealth of exercises and examples make it ideal for self-study or courses. In sum this is a comprehensive reference on the theory of variable-length codes and their relation to automata.
- Thoroughly updated to reflect developments and results in the field over the last twenty years
- A self-contained treatment containing complete proofs and over 250 illustrative examples
- Exercises and solutions allow the reader to test their understanding
Product details
June 2013Adobe eBook Reader
9781139632973
0 pages
0kg
1 b/w illus. 30 tables 210 exercises
This ISBN is for an eBook version which is distributed on our behalf by a third party.
Table of Contents
- Preface
- 1. Preliminaries
- 2. Codes
- 3. Prefix codes
- 4. Automata
- 5. Deciphering delay
- 6. Bifix codes
- 7. Circular codes
- 8. Factorizations of free monoids
- 9. Unambiguous monoids of relations
- 10. Synchronization
- 11. Groups of codes
- 12. Factorizations of cyclic groups
- 13. Densities
- 14. Polynomials of finite codes
- Solutions of exercises
- Appendix: Research problems
- References
- Index of notation
- Index.