### Almost Secure (1-Round, n-Channel) Message Transmission Scheme

Kaoru Kurosawa and Kazuhiro Suzuki

##### Abstract

It is known that perfectly secure ($1$-round, $n$-channel) message transmission (MT) schemes exist if and only if $n \geq 3t+1$, where $t$ is the number of channels that the adversary can corrupt. Then does there exist an {\it almost} secure MT scheme for $n=2t+1$ ? In this paper, we first sum up a number flaws of the previous {\it almost} secure MT scheme presented at Crypto 2004. (The authors already noted in thier presentation at Crypto'2004 that their scheme was flawed.) We next show an equivalence between almost secure MT schemes and secret sharing schemes with cheaters. By using our equivalence, we derive a lower bound on the communication complexity of almost secure MT schemes. Finally, we present a near optimum scheme which meets our bound approximately. This is the first construction of provably secure almost secure ($1$-round, $n$-channel) MT schemes for $n=2t+1$.

Available format(s)
Category
Cryptographic protocols
Publication info
Published elsewhere. Unknown where it was published
Keywords
Private and reliable transmissioninformation theoretic securitycommunication efficiency
Contact author(s)
kurosawa @ mx ibaraki ac jp
History
2007-05-07: revised
See all versions
Short URL
https://ia.cr/2007/076

CC BY

BibTeX

@misc{cryptoeprint:2007/076,
author = {Kaoru Kurosawa and Kazuhiro Suzuki},
title = {Almost Secure (1-Round, n-Channel) Message Transmission Scheme},
howpublished = {Cryptology ePrint Archive, Paper 2007/076},
year = {2007},
note = {\url{https://eprint.iacr.org/2007/076}},
url = {https://eprint.iacr.org/2007/076}
}

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