Statistical physics of irregular low-density parity-check codes

Journal of Physics A: Mathematical and General

Volumn 33, Issue 37, 2000, Pages 6527-6542

  Vicente, Renato ^a   Saad, David ^a   Kabashima, Yoshyiuki ^b  

^a ASTON UNIVERSITY   (United Kingdom)

^b TOKYO INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034702988     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/33/37/305     Document Type: Article

References (35)

1. Shannon C 1948 Bell Syst. Tech. J. 27 379-423
2. Viterbi A J and Omura J K 1979 Principles of Digital Communication and Coding (Singapore: McGraw-Hill)
3. Cover T and Thomas J A 1991 Elements of Information Theory (New York: Wiley)
4. Berrou G, Glavieux A and Thitimajshima 1993 Proc. IEEE Int. Conf. on Commununication (Geneva) p 1064-70
5. Davey M C 1998 Record-breaking error correction using low-density parity-check codes University of Cambridge 1998 Hamilton Prize Essay
6. Gallager R G 1962 IRE Trans. Inform. Theory 8 21-8
7. Gallager R G 1963 Low Density Parity Check Codes (Research Monograph Series no 21) (Cambridge, MA: MIT Press)
8. MacKay D J C and Neal R M 1996 Electron. Lett. 32 1645-6
9. MacKay DJC 1999 IEEE Trans. Inform. Theory 45 399-431
10. MacKay D J C, Wilson S and Davey M C 1999 IEEE Trans. Commun. 47 1449-54
11. Luby M et al 1998 Digital SRC Technical Note 8
12. Richardson T, Shokrollahi A and Urbanke R 1999 Preprint
13. Kanter I and Saad D 1999 Phys. Rev. Lett. 83 2660-3 Kanter I and Saad D 2000 J. Phys. A: Math. Gen. 33 1675-81
14. Kanter I and Saad D 1999 Phys. Rev. Lett. 83 2660-3 Kanter I and Saad D 2000 J. Phys. A: Math. Gen. 33 1675-81
15. Vicente R, Saad D and Kabashima Y 2000 Europhys. Lett, at press
16. Sourlas N 1989 Nature 339 693-5
17. Kabashima Y and Saad D 1999 Europhys. Lett. 45 97-103
18. Vicente R, Saad D and Kabashima Y 1999 Phys. Rev. E 60 5352-66
19. Kabashima Y, Murayama T and Saad D 2000 Phys. Rev. Lett. 84 1355-8
20. Murayama T, Kabashima Y, Saad D and Vicente R 2000 Phys. Rev. E 62 1577-91
21. Montanari A and Sourlas N 1999 Preprint cond-mat/9909018 Montanari A 2000 Preprint cond-mat/0003218
22. Montanari A and Sourlas N 1999 Preprint cond-mat/9909018 Montanari A 2000 Preprint cond-mat/0003218
23. Thouless D J, Anderson P W and Palmer R G 1977 Phil. Mag. 35 593-601
24. Plefka T 1982 J. Phys. A: Math. Gen. 15 1971-8
25. Sourlas N 1994 Europhys. Lett. 25 159-64
26. Ruján P 1993 Phys. Rev. Lett. 70 2968-71
27. Nishimori H 1993 J. Phys. Soc. Japan 62 2793-5
28. Iba Y 1999 J. Phys. A: Math. Gen. 32 3875-88
29. Pearl J 1988 Probabilistic Reasoning in Intelligent Systems (San Francisco, CA: Morgan Kaufmann)
30. Cheng J F 1997 Iterative decoding PhD Thesis California Institute of Technology, Pasadena, CA
31. Kabashima Y and Saad D 1998 Europhys. Lett. 44 668-74
32. Kschischang F R and Frey B J 1998 IEEE J. Sel. Areas Commun. 16 1-11
33. Davey M C and MacKay D J C 1998 IEEE Commun. Lett. 2 165
34. Richardson T and Urbanke R 1998 Preprint
35. MacKay D J C 1995 Electron. Lett. 31 446-7