Network error correction with unequal link capacities

IEEE Transactions on Information Theory

Volumn 57, Issue 2, 2011, Pages 1144-1164

  Kim, Sukwon ^a,b   Ho, Tracey ^a   Effros, Michelle ^a   Avestimehr, Amir Salman ^c,d  

^a California Institute of Technology   (United States)

^b SAMSUNG Electronics   (South Korea)

^c CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

^d School of Operations Research and Industrial Engineering   (United States)

Author keywords

Adversarial errors; Byzantine adversary; network coding; network error correction; nonlinear coding

Indexed keywords

ADVERSARIAL ERRORS; BYZANTINE ADVERSARY; NETWORK CODING; NETWORK ERROR CORRECTION; NONLINEAR CODING;

CODING ERRORS; ERROR CORRECTION; INFORMATION THEORY;

ERROR DETECTION;

EID: 79251513597     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2010.2095090     Document Type: Article

References (22)

1. R. Ahlswede, N. Cai, S. Li, and R. Yeung, "Network information flow," IEEE Trans. Inf. Theory, vol. 46, no. 4, pp. 1204-1216, Jul. 2000.
2. S. Li, R. Yeung, and N. Cai, "Linear network coding," IEEE Trans. Inf. Theory, vol. 49, no. 2, pp. 371-381, Feb. 2003.
3. R. Yeung and N. Cai, "Network error correction-Part I: Basic concepts and upper bounds," Commun. Inf. Syst., vol. 6, no. 1, pp. 19-36, 2006.
4. N. Cai and R. Yeung, "Network error correction-Part II: Lower bounds," Commun. Inf. Syst., vol. 6, no. 1, pp. 37-54, 2006.
5. R.Koetter and M. Médard, "An algebraic approach to network coding," IEEE/ACM Trans. Netw., vol. 11, no. 5, pp. 782-795, Oct. 2003.
6. T. Ho, B. Leong, R. Koetter, M. Médard, M. Effros, and D. Karger, "Byzantine modification detection in multicast networks using randomized network coding," in Proc. IEEE Int. Symp. Inf. Theory, 2004, pp. 144-144.
7. Z. Zhang, "Linear network error correction codes in packet networks," IEEE Trans. Inf. Theory, vol. 54, no. 1, pp. 209-218, Jan. 2008.
8. C. Gkantsidis and P. Rodriguez, "Cooperative security for network coding file distribution," in Proc. IEEE Int. Conf. Comput. Commun., 2006, pp. 2004-137.
9. M. Krohn, M. Freedman, and D. Mazieres, "On-the-fly verification of rateless erasure codes for efficient content distribution," in Proc. IEEE Symp. Security Privacy, 2004, pp. 226-240.
10. S. Jaggi, M. Langberg, S. Katti, T. Ho, D. Katabi, and M. Medard, "Resilient network coding in the presence of Byzantine adversaries," IEEE Trans. Inf. Theory, vol. 54, Special Issue on Information Theoretic Security, no. 6, pp. 2596-2603, Jun. 2008.
11. G. Liang, R. Agarwal, and N. Vaidya, "Capacity of Byzantine agreement: Complete xharacterization of four-node networks," Tech. Rep., Apr. 2010.
12. G. Liang, R. Agarwal, and N. Vaidya, "When watchdog meets coding," in Proc. IEEE Int. Conf. Comput. Commun., 2010, DOI: 10.1109/INFCOM. 2010.5462052.
13. R. Koetter and F. Kschischang, "Coding for errors and erasures in random network coding," IEEE Trans. Inf. Theory, vol. 54, no. 8, pp. 3579-3591, Aug. 2008.
14. D. Silva, F. Kschischang, and R. Koetter, "A rank-metric approach to error control in random network coding," IEEE Trans. Inf. Theory, vol. 54, no. 9, pp. 3951-3967, Sep. 2008.
15. M. Langberg, S. Jaggi, and B. Dey, "Binary causal-adversary channels," in Proc. IEEE Int. Symp. Inf. Theory, 2009, pp. 2723-2727.
16. O. Kosut, L. Tong, and D. Tse, "Nonlinear network coding is necessary to combat general Byzantine attacks," in Proc. 47th Annu. Allerton Conf. Commun. Control Comput., 2009, pp. 593-599.
17. S. Kim, T. Ho, M. Effros, and S. Avestimehr, "Network error correction with unequal link capacities," in Proc. 47th Annu. Allerton Conf. Commun. Control Comput., 2009, pp. 1387-1394.
18. T. Cover, J. Thomas, and J. Wiley, Elements of Information Theory. New York: Wiley, 1991.
19. R. Ahuja, T. Magnanti, and J. Orlin, Network Flows: Theory, Algorithms, and Applications. Englewood Cliffs, NJ: Prentice-Hall, 1993.
20. O. Kosut, L. Tong, and D. Tse, "Polytope codes against adversaries in networks," in Proc. IEEE Int. Symp. Inf. Theory, 2010, pp. 2423-2427.
21. S. Kim, T. Ho, M. Effros, and S. Avestimehr, "New results on network error correction: Capacities and upper bounds," in Proc. Inf. Theory Appl. Workshop, 2010, DOI: 10.1109/ITA.2010.5454125.
22. R. Yeung, Information Theory and Network Coding. New York: Springer-Verlag, 2008.