Turbo codes: The phase transition

European Physical Journal B

Volumn 18, Issue 1, 2000, Pages 121-136

  Montanari, A ^a,b  

^a INFN SEZIONE DI PISA   (Italy)

^b LABORATOIRE DE PHYSIQUE STATISTIQUE   (France)

Author keywords

75.10.Hk Classical spin models; 75.10.Nr Spin glass and other random models; 89.70.+c Information science

Indexed keywords

EID: 0000270228     PISSN: 14346028     EISSN: None     Source Type: Journal    
DOI: 10.1007/s100510070085     Document Type: Article

References (27)

1. A. Montanari, N. Sourlas, Eur. Phys. J. B 18, 107 (2000).
2. T.M. Cover, J.A. Thomas, Elements of Information Theory (Wiley, New York, 1991).
3. C. Berrou, A. Glavieux, P. Thitimajshima, Proc. 1993 IEEE Int. Conf. Commun. (Geneva, Switzerland), pp. 1064-1070.
4. C. Berrou, A. Glavieux, IEEE Trans. Commun. 44, 1261 (1996).
5. C. Berrou, R. Pyndiah, M. Jézéquel, A. Glavieux, P. Adde, La Recherche 315, 34 (1998).
6. N. Sourlas, Nature 339, 693 (1989).
7. N. Sourlas, Statistical Mechanics of Neural Networks, Lecture Notes in Physics 368, edited by L. Garrido (Springer Verlag, 1990).
8. N. Sourlas, École Normale Supérieure preprint (April 1993).
9. N. Sourlas, From Statistical Physics to Statistical Inference and Back, edited by P. Grassberger, J.-P. Nadal (Kluwer Academic, 1994), p. 195.
10. D.J.C. MacKay, IEEE Trans. Inf. Theory 45, 399 (1999).
11. R.G. Gallager, Low Density Parity Check Codes, Research Monograph Series Vol. 21 (MIT, Cambridge, MA., 1963).
12. I. Kanter, D. Saad, Phys. Rev. Lett. 83, 2660 (1999).
13. B. Derrida, H Spohn, J. Stat. Phys. 51, 817 (1988).
14. E. Buffet, A. Patrick, J.V. Pulé, J. Phys. A 26, 1823 (1993).
15. B. Derrida, M.R. Evans, E.R. Speer, Commun. Math. Phys. 156, 221 (1993).
16. J. Cook, B. Derrida, J. Stat. Phys. 61, 961 (1990).
17. J. Cook, B. Derrida, J. Stat. Phys. 63, 505 (1991).
18. A. Kolmogorov, I. Petrovsky, N. Piscounov, Moscou Univ. Math. Bull. 1, 1 (1937).
19. M. Mézard, G. Parisi, M.A. Virasoro, Spin Glass theory and Beyond (World Scientific, Singapore, 1987).
20. K.Y.M. Wong, D. Sherrington, J. Phys. A 21, L459 (1988).
21. F.J. Dyson, Phys. Rev. 92, 1331 (1953).
22. H. Schmidt, Phys. Rev. 105, 425 (1954).
23. J.M. Luck, Systèmes désordonnés unidimensionels (Aléa Saclay, 1992).
24. P. Mottishaw, C. De Dominicis, J. Phys. A 20, L375 (1987).
25. S. Roman, Field Theory (Springer-Verlag, New York, 1995).
26. S. Roman, Coding and Information Theory (Springer-Verlag, New York, 1995).
27. B. Derrida, Phys. Rev. B 24, 2613 (1981).