2008 | OriginalPaper | Buchkapitel
Truly Efficient 2-Round Perfectly Secure Message Transmission Scheme
verfasst von : Kaoru Kurosawa, Kazuhiro Suzuki
Erschienen in: Advances in Cryptology – EUROCRYPT 2008
Verlag: Springer Berlin Heidelberg
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In the model of perfectly secure message transmission schemes (PSMTs), there are
n
channels between a sender and a receiver. An infinitely powerful adversary
may corrupt (observe and forge) the messages sent through
t
out of
n
channels. The sender wishes to send a secret
s
to the receiver perfectly privately and perfectly reliably without sharing any key with the receiver.
In this paper, we show the first 2-round PSMT for
n
= 2
t
+ 1 such that not only the transmission rate is
O
(
n
) but also the computational costs of the sender and the receiver are both polynomial in
n
. This means that we solve the open problem raised by Agarwal, Cramer and de Haan at CRYPTO 2006.