Cryptology ePrint Archive: Report 2008/506

Unconditionally Secure Message Transmission in Arbitrary Directed Synchronous Networks Tolerating Generalized Mixed Adversary

Kannan Srinathan and Arpita Patra and Ashish Choudhary and C. Pandu Rangan

Abstract: In this paper, we re-visit the problem of {\it unconditionally secure message transmission} (USMT) from a sender {\bf S} to a receiver {\bf R}, who are part of a distributed synchronous network, modeled as an {\it arbitrary} directed graph. Some of the intermediate nodes between {\bf S} and {\bf R} can be under the control of the adversary having {\it unbounded} computing power. Desmedt and Wang \cite{Desmedt} have given the characterization of USMT in directed networks. However, in their model, the underlying network is abstracted as directed node disjoint paths (also called as wires/channels) between {\bf S} and {\bf R}, where the intermediate nodes are oblivious, message passing nodes and perform no other computation. In this work, we first show that the characterization of USMT given by Desmedt \cite{Desmedt} does not hold good for {\it arbitrary} directed networks, where the intermediate nodes perform some computation, beside acting as message forwarding nodes. We then give the {\it true} characterization of USMT in arbitrary directed networks. As far our knowledge is concerned, this is the first ever {\it true} characterization of USMT in arbitrary directed networks.

Category / Keywords: foundations /

Publication Info: This is a full version of the paper which got accepted in ASIACCS 2009

Date: received 30 Nov 2008, last revised 3 Dec 2008

Contact author: arpitapatra_10 at yahoo co in

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Version: 20081203:170652 (All versions of this report)

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