Paper 2008/421

Truly Efficient 2-Round Perfectly Secure Message Transmission Scheme

Kaoru Kurosawa and Kazuhiro Suzuki

Abstract

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.

Note: Sec.2.2 and Sec.2.3 are revised.

Metadata
Available format(s)
PDF
Publication info
Published elsewhere. This is a revised version of Eurocrypt 2008.
Keywords
perfectly secure message transmissioninformation theoretic security
Contact author(s)
kurosawa @ mx ibaraki ac jp
History
2008-12-05: revised
2008-10-02: received
See all versions
Short URL
https://ia.cr/2008/421
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2008/421,
      author = {Kaoru Kurosawa and Kazuhiro Suzuki},
      title = {Truly Efficient 2-Round Perfectly Secure Message Transmission Scheme},
      howpublished = {Cryptology ePrint Archive, Paper 2008/421},
      year = {2008},
      note = {\url{https://eprint.iacr.org/2008/421}},
      url = {https://eprint.iacr.org/2008/421}
}
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