Rate-equivocation optimal spatially coupled LDPC codes for the BEC wiretap channel

IEEE International Symposium on Information Theory - Proceedings

Volumn , Issue , 2011, Pages 2393-2397

  Rathi, Vishwambhar ^a   Urbanke, Rüdiger ^b   Andersson, Mattias ^c   Skoglund, Mikael ^c  

^a EPFL ^*

^b EPFL   (Switzerland)

^c ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

BINARY ERASURE CHANNEL; CODE CONSTRUCTION; ENCODING SCHEMES; LDPC CODES; MEMORYLESS; POLAR CODES; RESEARCH GROUPS; RICHARDSON; SPATIAL COUPLINGS; SYMMETRIC CHANNELS; WIRETAP CHANNEL;

COMMUNICATION CHANNELS (INFORMATION THEORY); CONVOLUTION; ERROR CORRECTION;

CODES (SYMBOLS);

EID: 80054816671     PISSN: 21578104     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ISIT.2011.6033992     Document Type: Conference Paper

References (23)

1. A. D. Wyner, "The wire-tap channel", Bell. Syst. Tech. J., vol. 54, no. 8, pp. 1355-1387, Oct. 1975.
2. I. Csiszár and J. Körner, "Broadcast channels with confidential messages", IEEE Trans. Inform. Theory, vol. 24, no. 3, pp. 339-348, May 1978.
3. E. Arikan, "Channel polarization: A method for constructing capacityachieving codes for symmetric binary-input memoryless channels", IEEE Trans. Inform. Theory, vol. 55, no. 7, pp. 3051-3073, July 2009.
4. M. Andersson, V. Rathi, R. Thobaben, J. Kliewer, and M. Skoglund, "Nested polar codes for wiretap and relay channels", Communications Letters, IEEE, vol. 14, no. 8, pp. 752-754, Aug. 2010.
5. E. Hof and S. Shamai, "Secrecy-Achieving Polar-Coding for Binary-Input Memoryless Symmetric Wire-Tap Channels", ArXiv e-prints, May 2010.
6. H. Mahdavifar and A. Vardy, "Achieving the Secrecy Capacity of Wiretap Channels Using Polar Codes", in International Symposium on Information Theory (ISIT), Austin, USA, June 2010.
7. O. O. Koyluoglu and H. El Gamal, "Polar Coding for Secure Transmission and Key Agreement", ArXiv e-prints, Mar. 2010.
8. A. J. Felstrom and K. S. Zigangirov, "Time-varying periodic convolutional codes with low-density parity-check matrix", IEEE Trans. Inform. Theory, vol. 45, no. 6, pp. 2181-2191, Sept. 1999.
9. K. Engdahl and K. S. Zigangirov, "On the theory of low-density convolutional codes I", Problemy Peredachi Informatsii, vol. 35, pp. 12-27, 1999.
10. M. Lentmaier, D. V. Truhachev, and K. S. Zigangirov, "On the theory of low-density convolutional codes II", Problemy Peredachi Informatsii, vol. 35, pp. 12-27, 1999.
11. R. M. Tanner, D. Sridhara, A. Sridharan, T. E. Fuja, and D. J. Costello, Jr., "LDPC block and convolutional codes based on circulant matrices", IEEE Trans. Inform. Theory, vol. 50, pp. 2966-2984, 2004.
12. M. Lentmaier, A. Sridharan, K. S. Zigangirov, and D. J. Costello, Jr., "Terminated LDPC Convolutional Codes with Thresholds Close to Capacity", ArXiv Computer Science e-prints, Aug. 2005.
13. M. Lentmaier, G. P. Fettweis, K. S. Zigangirov, and D. J. Costello, Jr., "Approaching capacity with asymptotically regular LDPC codes", in Information Theory and Applications Workshop, 2009, 8-13 2009, pp. 173-177.
14. S. Kudekar, T. Richardson, and R. Urbanke, "Threshold saturation via spatial coupling: Why convolutional ldpc ensembles perform so well over the bec", IEEE Trans. Inform. Theory, vol. 57, no. 2, pp. 803-834, feb. 2011.
15. S. Kudekar, C. Measson, T. Richardson, and R. Urbanke, "Threshold Saturation on BMS Channels via Spatial Coupling", ArXiv e-prints, Apr. 2010.
16. M. Lentmaier, D. G. M. Mitchell, G. Fettweis, and D. J. Costello, Jr., "Asymptotically good LDPC convolutional codes with AWGN channel thresholds close to the Shannon limit", in Proc. of ISTC'10, Brest, France, 2010.
17. p)", CoRR, vol. abs/1010.0060, 2010.
18. S. Kudekar and H. D. Pfister, "The effect of spatial coupling on compressive sensing", CoRR, vol. abs/1010.6020, 2010.
19. A. Thangaraj, S. Dihidar, A. Calderbank, S. McLaughlin, and J.-M. Merolla, "Applications of LDPC codes to the wiretap channel", IEEE Trans. Inform. Theory, vol. 53, no. 8, pp. 2933-2945, Aug. 2007.
20. T. Richardson and R. Urbanke, Modern Coding Theory. Cambridge University Press, 2008. [Online]. Available: http://www.cambridge.org/catalogue/catalogue. asp?isbn=9780521852296
21. A. Orlitsky, K. Viswanathan, and J. Zhang, "Stopping set distribution of LDPC code ensembles", IEEE Trans. Inform. Theory, vol. 51, pp. 929-953, 2005.
22. V. Rathi, R. Urbanke, M. Andersson, and M. Skoglund, "Rate- Equivocation Optimal Spatially Coupled LDPC Codes for the BEC Wiretap Channel", ArXiv e-prints, Oct. 2010.
23. V. Rathi, M. Andersson, R. Thobaben, J. Kliewer, and M. Skoglund, "Performance Analysis and Design of Two Edge Type LDPC Codes for the BEC Wiretap Channel", ArXiv e-prints, Sept. 2010.