Paper 2007/358
Improving the Round Complexity of VSS in Point-to-Point Networks
Jonathan Katz, Chiu-Yuen Koo, and Ranjit Kumaresan
Abstract
We revisit the following question: what is the optimal round complexity of verifiable secret sharing~(VSS)? We focus here on the case of perfectly-secure VSS where the number of corrupted parties~$t$ satisfies $t < n/3$, with $n$ being the total number of parties. Work of Gennaro et al. (STOC~2001) and Fitzi et al. (TCC~2006) shows that, assuming a broadcast channel, 3~rounds are necessary and sufficient for efficient VSS. The efficient 3-round protocol of Fitzi et al., however, treats the broadcast channel as being available ``for free'' and does not attempt to minimize its usage. This approach leads to relatively poor round complexity when protocols are compiled for a point-to-point network. We show here a VSS protocol that is simultaneously optimal in terms of both the number of rounds and the number of invocations of broadcast. Our protocol also has a certain ``2-level sharing'' property that makes it useful for constructing protocols for general secure computation.
Note: Typos corrected.
Metadata
- Available format(s)
-
PDF
- Publication info
- Published elsewhere. This is the full version of the paper appearing at ICALP 2008
- Keywords
- VSSdistributed computation
- Contact author(s)
-
jkatz @ cs umd edu
cykoo @ cs umd edu
ranjit @ cs umd edu - History
- 2008-06-18: last of 2 revisions
- 2007-09-13: received
- See all versions
- Short URL
- https://ia.cr/2007/358
- License
-
CC BY
BibTeX
@misc{cryptoeprint:2007/358,
author = {Jonathan Katz and Chiu-Yuen Koo and Ranjit Kumaresan},
title = {Improving the Round Complexity of {VSS} in Point-to-Point Networks},
howpublished = {Cryptology {ePrint} Archive, Paper 2007/358},
year = {2007},
url = {https://eprint.iacr.org/2007/358}
}
