Multi-terminal Strong Coordination over Noiseless Networks with Secrecy Constraints
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2024-03-06
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Conference Paper
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Abstract
We investigate the problem of securely emulating a two-user multiple-access channel (MAC) aided by a multipleaccess network of noiseless links as a resource. In this configuration, two encoders observe independent and identically distributed (i.i.d.) samples of a source random variable each and send rate-limited messages over their respective pairwise (noiseless) communication links to the decoder. The decoder also receives i.i.d. samples of a side-information random variable. At limited rates, each encoder and the decoder additionally possess independent pairwise shared randomness. The objective is for the decoder to generate approximately i.i.d. samples of another random variable, which is jointly distributed with the two sources and the side information. Furthermore, we require that an external eavesdropper who intercepts the communication links and has correlated observations but no access to the shared randomness variables, learns virtually nothing about the input sources and the simulated output sequence. We are interested in the rate tuples which permit such simulation with strong secrecy. We establish a complete characterization for this secure multi-terminal coordination problem when the sources are independent and one of the pairwise shared randomness rates is unconstrained. Moreover, we derive an achievable region and an outer bound for the general case of correlated sources and limited shared randomness rates.
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International Zurich Seminar on Information and Communication (IZS 2024). Proceedings
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159 - 163
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ETH Zurich
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International Zurich Seminar on Information and Communication (IZS 2024)
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02140 - Dep. Inf.technologie und Elektrotechnik / Dep. of Inform.Technol. Electrical Eng.
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