Strong Secrecy Capacity of a Class of Wiretap Networks
The State Key Laboratory of Integrated Services Networks, Xidian University, Xi’an 710071, China
Author to whom correspondence should be addressed.
Academic Editor: Raúl Alcaraz Martínez
Received: 29 April 2016 / Revised: 11 June 2016 / Accepted: 20 June 2016 / Published: 24 June 2016
This paper considers a special class of wiretap networks with a single source node and K
sink nodes. The source message is encoded into a binary digital sequence of length N
, divided into K
subsequences, and sent to the K
sink nodes respectively through noiseless channels. The legitimate receivers are able to obtain subsequences from arbitrary
sink nodes. Meanwhile, there exist eavesdroppers who are able to observe subsequences from arbitrary
sink nodes, where
. The goal is to let the receivers be able to recover the source message with a vanishing decoding error probability, and keep the eavesdroppers ignorant about the source message. It is clear that the communication model is an extension of wiretap channel II. Secrecy capacity with respect to the strong secrecy criterion is established. In the proof of the direct part, a codebook is generated by a randomized scheme and partitioned by Csiszár’s almost independent coloring scheme. Unlike the linear network coding schemes, our coding scheme is working on the binary field and hence independent of the scale of the network.
This is an open access article distributed under the Creative Commons Attribution License
which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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MDPI and ACS Style
He, D.; Guo, W. Strong Secrecy Capacity of a Class of Wiretap Networks. Entropy 2016, 18, 238.
He D, Guo W. Strong Secrecy Capacity of a Class of Wiretap Networks. Entropy. 2016; 18(7):238.
He, Dan; Guo, Wangmei. 2016. "Strong Secrecy Capacity of a Class of Wiretap Networks." Entropy 18, no. 7: 238.
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