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Entropy 2016, 18(7), 238; doi:10.3390/e18070238

Strong Secrecy Capacity of a Class of Wiretap Networks

The State Key Laboratory of Integrated Services Networks, Xidian University, Xi’an 710071, China
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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 article belongs to the Section Information Theory)
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Abstract

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 μ 1 = K α 1 sink nodes. Meanwhile, there exist eavesdroppers who are able to observe subsequences from arbitrary μ 2 = K α 2 sink nodes, where 0 α 2 < α 1 1 . 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. View Full-Text
Keywords: wiretap network; strong secrecy criterion; secrecy capacity; wiretap channel II wiretap network; strong secrecy criterion; secrecy capacity; wiretap channel II
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He, D.; Guo, W. Strong Secrecy Capacity of a Class of Wiretap Networks. Entropy 2016, 18, 238.

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