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EUROCRYPT
2008
Springer

Truly Efficient 2-Round Perfectly Secure Message Transmission Scheme

8 years 4 months ago
Truly Efficient 2-Round Perfectly Secure Message Transmission Scheme
In the model of perfectly secure message transmission schemes (PSMTs), there are n channels between a sender and a receiver. An infinitely powerful adversary A 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 = 2t + 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. The main novelty of our approach is to introduce a notion of pseudobasis to the coding theory. It will be an independent interest for coding theory, too.
Kaoru Kurosawa, Kazuhiro Suzuki
Added 19 Oct 2010
Updated 19 Oct 2010
Type Conference
Year 2008
Where EUROCRYPT
Authors Kaoru Kurosawa, Kazuhiro Suzuki
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