Exploiting common randomness: A resource for network secrecy. Czap, L., Prabhakaran, V., Diggavi, S., & Fragouli, C. In Information Theory Workshop (ITW), 2013 IEEE, pages 1-5, Sept, 2013.
doi  abstract   bibtex   
We investigate the problem of secure communication in a simple network with three communicating parties, two distributed sources who communicate over orthogonal channels to one destination node. The cooperation between the sources is restricted to a rate limited common random source they both observe. The communication channels are erasure channels with strictly causal channel state information of the destination available publicly. A passive adversary is present in the system eavesdropping on any one of the channels. We design a linear scheme that ensures secrecy against the eavesdropper. By deriving an outer bound for the problem we prove that the scheme is optimal in certain special cases.
@inproceedings{6691232,
 abstract = {We investigate the problem of secure communication in a simple network with three communicating parties, two distributed sources who communicate over orthogonal channels to one destination node. The cooperation between the sources is restricted to a rate limited common random source they both observe. The communication channels are erasure channels with strictly causal channel state information of the destination available publicly. A passive adversary is present in the system eavesdropping on any one of the channels. We design a linear scheme that ensures secrecy against the eavesdropper. By deriving an outer bound for the problem we prove that the scheme is optimal in certain special cases.},
 author = {Czap, L. and Prabhakaran, V.M. and Diggavi, S. and Fragouli, C.},
 booktitle = {Information Theory Workshop (ITW), 2013 IEEE},
 doi = {10.1109/ITW.2013.6691232},
 file = {:papers:common_randomness.pdf},
 month = {Sept},
 pages = {1-5},
 tags = {conf,WiNetSec,IT},
 title = {Exploiting common randomness: A resource for network secrecy},
 type = {4},
 year = {2013}
}

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