## Cryptology ePrint Archive: Report 2011/320

Minimal Connectivity for Unconditionally Secure Message Transmission in Synchronous Directed Networks

Manan Nayak and Shashank Agrawal and Kannan Srinathan

Abstract: In this paper we give the minimal connectivity required in a synchronous directed network, which is under the influence of a computationally unbounded \emph{Byzantine} adversary that can corrupt a subset of nodes, so that Secure Message Transmission is possible between sender $S$ and receiver $R$. We also show that secure communication between a pair of nodes in a given synchronous directed network is possible in both directions if and only if reliable communication is possible between them. We assume that in a network, every node is capable of computation and we model the network along the lines of \cite{SR06}.

Category / Keywords: Directed networks, Connectivity, Information-theoretic security

Publication Info: A shorter version of this paper appeared in International Conference on Information Theoretic Security (ICITS), 2011

Date: received 16 Jun 2011

Contact author: manan nayak at research iiit ac in

Available format(s): PDF | BibTeX Citation

Short URL: ia.cr/2011/320

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