Error-Correction Coding and Decoding

Part I. Theoretical Performance of Error-Correcting Codes

1. Bounds on Error-Correction Coding Performance
Martin Tomlinson, Cen Jung Tjhai, Marcel A. Ambroze, Mohammed Ahmed, Mubarak Jibril

2. Soft and Hard Decision Decoding Performance
Martin Tomlinson, Cen Jung Tjhai, Marcel A. Ambroze, Mohammed Ahmed, Mubarak Jibril

3. Soft Decision and Quantised Soft Decision Decoding
Martin Tomlinson, Cen Jung Tjhai, Marcel A. Ambroze, Mohammed Ahmed, Mubarak Jibril

Part II. Code Construction

4. Cyclotomic Cosets, the Mattson–Solomon Polynomial, Idempotents and Cyclic Codes
Martin Tomlinson, Cen Jung Tjhai, Marcel A. Ambroze, Mohammed Ahmed, Mubarak Jibril

5. Good Binary Linear Codes
Martin Tomlinson, Cen Jung Tjhai, Marcel A. Ambroze, Mohammed Ahmed, Mubarak Jibril

6. Lagrange Codes
Martin Tomlinson, Cen Jung Tjhai, Marcel A. Ambroze, Mohammed Ahmed, Mubarak Jibril

7. Reed–Solomon Codes and Binary Transmission
Martin Tomlinson, Cen Jung Tjhai, Marcel A. Ambroze, Mohammed Ahmed, Mubarak Jibril

8. Algebraic Geometry Codes
Martin Tomlinson, Cen Jung Tjhai, Marcel A. Ambroze, Mohammed Ahmed, Mubarak Jibril

9. Algebraic Quasi Cyclic Codes
Martin Tomlinson, Cen Jung Tjhai, Marcel A. Ambroze, Mohammed Ahmed, Mubarak Jibril

10. Historical Convolutional Codes as Tail-Biting Block Codes
Martin Tomlinson, Cen Jung Tjhai, Marcel A. Ambroze, Mohammed Ahmed, Mubarak Jibril

11. Analogue BCH Codes and Direct Reduced Echelon Parity Check Matrix Construction
Martin Tomlinson, Cen Jung Tjhai, Marcel A. Ambroze, Mohammed Ahmed, Mubarak Jibril

12. LDPC Codes
Martin Tomlinson, Cen Jung Tjhai, Marcel A. Ambroze, Mohammed Ahmed, Mubarak Jibril

Part III. Analysis and Decoders

13. An Exhaustive Tree Search for Stopping Sets of LDPC Codes
Martin Tomlinson, Cen Jung Tjhai, Marcel A. Ambroze, Mohammed Ahmed, Mubarak Jibril

14. Erasures and Error-Correcting Codes
Martin Tomlinson, Cen Jung Tjhai, Marcel A. Ambroze, Mohammed Ahmed, Mubarak Jibril

15. The Modified Dorsch Decoder
Martin Tomlinson, Cen Jung Tjhai, Marcel A. Ambroze, Mohammed Ahmed, Mubarak Jibril

16. A Concatenated Error-Correction System Using the



$$|u|u+v| Code Construction
Martin Tomlinson, Cen Jung Tjhai, Marcel A. Ambroze, Mohammed Ahmed, Mubarak Jibril

Part IV. Applications

17. Combined Error Detection and Error-Correction
Martin Tomlinson, Cen Jung Tjhai, Marcel A. Ambroze, Mohammed Ahmed, Mubarak Jibril

18. Password Correction and Confidential Information Access System
Martin Tomlinson, Cen Jung Tjhai, Marcel A. Ambroze, Mohammed Ahmed, Mubarak Jibril

19. Variations on the McEliece Public Key Cryptoystem
Martin Tomlinson, Cen Jung Tjhai, Marcel A. Ambroze, Mohammed Ahmed, Mubarak Jibril

20. Error-Correcting Codes and Dirty Paper Coding
Martin Tomlinson, Cen Jung Tjhai, Marcel A. Ambroze, Mohammed Ahmed, Mubarak Jibril

Avainsanat: Engineering, Communications Engineering, Networks, Computer Communication Networks, Coding and Information Theory, Algorithms