License: 
Creative Commons Attribution 4.0 International license (CC BY 4.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.ITC.2021.11
URN: urn:nbn:de:0030-drops-143302
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2021/14330/
Kanukurthi, Bhavana ;
Obbattu, Sai Lakshmi Bhavana ;
Sekar, Sruthi ;
Tomy, Jenit
Locally Reconstructable Non-Malleable Secret Sharing
Abstract
Non-malleable secret sharing (NMSS) schemes, introduced by Goyal and Kumar (STOC 2018), ensure that a secret m can be distributed into shares m₁,⋯,m_n (for some n), such that any t (a parameter ≤ n) shares can be reconstructed to recover the secret m, any t-1 shares doesn't leak information about m and even if the shares that are used for reconstruction are tampered, it is guaranteed that the reconstruction of these tampered shares will either result in the original m or something independent of m. Since their introduction, non-malleable secret sharing schemes sparked a very impressive line of research.
In this work, we introduce a feature of local reconstructability in NMSS, which allows reconstruction of any portion of a secret by reading just a few locations of the shares. This is a useful feature, especially when the secret is long or when the shares are stored in a distributed manner on a communication network. In this work, we give a compiler that takes in any non-malleable secret sharing scheme and compiles it into a locally reconstructable non-malleable secret sharing scheme. To secret share a message consisting of k blocks of length ρ each, our scheme would only require reading ρ + log k bits (in addition to a few more bits, whose quantity is independent of ρ and k) from each party’s share (of a reconstruction set) to locally reconstruct a single block of the message.
We show an application of our locally reconstructable non-malleable secret sharing scheme to a computational non-malleable secure message transmission scheme in the pre-processing model, with an improved communication complexity, when transmitting multiple messages.
BibTeX - Entry
@InProceedings{kanukurthi_et_al:LIPIcs.ITC.2021.11,
author = {Kanukurthi, Bhavana and Obbattu, Sai Lakshmi Bhavana and Sekar, Sruthi and Tomy, Jenit},
title = {{Locally Reconstructable Non-Malleable Secret Sharing}},
booktitle = {2nd Conference on Information-Theoretic Cryptography (ITC 2021)},
pages = {11:1--11:19},
series = {Leibniz International Proceedings in Informatics (LIPIcs)},
ISBN = {978-3-95977-197-9},
ISSN = {1868-8969},
year = {2021},
volume = {199},
editor = {Tessaro, Stefano},
publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
address = {Dagstuhl, Germany},
URL = {https://drops.dagstuhl.de/opus/volltexte/2021/14330},
URN = {urn:nbn:de:0030-drops-143302},
doi = {10.4230/LIPIcs.ITC.2021.11},
annote = {Keywords: Information Theoretic Cryptography, Secret Sharing, Non-malleability, Local Reconstructability}
}
|
Keywords: |
|
Information Theoretic Cryptography, Secret Sharing, Non-malleability, Local Reconstructability |
|
Collection: |
|
2nd Conference on Information-Theoretic Cryptography (ITC 2021) |
|
Issue Date: |
|
2021 |
|
Date of publication: |
|
19.07.2021 |
