[Resource Topic] 2010/450: Round-Efficient Perfectly Secure Message Transmission Scheme Against General Adversary

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Title:
Round-Efficient Perfectly Secure Message Transmission Scheme Against General Adversary

Authors: Kaoru Kurosawa

Abstract:

In the model of Perfectly Secure Message Transmission Schemes (PSMTs), there are n channels between a sender and a receiver, and they share no key. An infinitely powerful adversary A can corrupt (observe and forge) the messages sent through some subset of n channels. For non-threshold adversaries called Q^2, Kumar et al. showed a many round PSMT \cite{KGSR}. In this paper, we show round efficient PSMTs against Q^2-adevrsaries. We first give a 3-round PSMT which runs in polynomial time in the size of the underlying linear secret sharing scheme. We next present a 2-round PSMT which is inefficient in general. (However, it is efficient for some special case.)

ePrint: https://eprint.iacr.org/2010/450

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