### Error-Detecting in Monotone Span Programs with Application to Communication Efficient Multi-Party Computation

Nigel P. Smart and Tim Wood

##### Abstract

Recent improvements in the state-of-the-art of MPC for non-full-threshold access structures introduced the idea of using a collision-resistant hash functions and redundancy in the secret-sharing scheme to construct a communication-efficient MPC protocol which is computationally-secure against malicious adversaries, with abort. The prior work is based on replicated secret-sharing; in this work we extend this methodology to {\em any} multiplicative LSSS implementing a $Q_2$ access structure. To do so we need to establish a folklore property of error detection for such LSSS and their associated Monotone Span Programs. In doing so we obtain communication-efficient online and offline protocols for MPC in the pre-processing model.

Available format(s)
Category
Cryptographic protocols
Publication info
Published elsewhere. MAJOR revision.CT-RSA 2019
Contact author(s)
nigel smart @ kuleuven be
t wood @ kuleuven be
History
2018-11-28: last of 4 revisions
See all versions
Short URL
https://ia.cr/2018/467

CC BY

BibTeX

@misc{cryptoeprint:2018/467,
author = {Nigel P.  Smart and Tim Wood},
title = {Error-Detecting in Monotone Span Programs with Application to  Communication Efficient Multi-Party Computation},
howpublished = {Cryptology ePrint Archive, Paper 2018/467},
year = {2018},
note = {\url{https://eprint.iacr.org/2018/467}},
url = {https://eprint.iacr.org/2018/467}
}

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