TY  - BOOK
AU  - Bierbrauer,Juergen
TI  - Introduction to coding theory 
T2  - Discrete mathematics and its applications
SN  - 9781584884217
U1  - 003.54 23
PY  - 2005///
CY  - Boca Raton
PB  - Chapman & Hall/CRC
KW  - Coding theory
N1  - Includes bibliographical references ( p. 371-382 ) and index; I. An elementary introduction to coding --
1. The concept of coding --
2. Binary linear codes --
3. General linear codes --
4. Singleton bound and Reed-Solomon codes --
5. Recursive constructions I --
6. Universal hashing --
7. Designs and the binary Golay code --
8. Shannon entropy --
9. Asymptotic results --
10. 3-dimensional codes, projective planes --
11. Summary and outlook --

II. Theory and applications of codes --
12. Subfield codes and trace codes --
13. Cyclic codes --
14. Recursive constructions, covering radius --
15. OA in statistics and computer science --
16. The geometric description of codes --
17. Additive codes --
18. The last chapter--

References--
Index
N2  - Although its roots lie in information theory, the applications of coding theory extend to statistics, cryptography, and many areas of mathematics. This book introduces the theory of error-correcting codes and its application. It presents an approach that includes sections devoted to basic concepts such as congruences and fields of prime order
ER  -