Paper 2005/337

Statistical Multiparty Computation Based on Random Walks on Graphs

Liangliang Xiao, Mulan Liu, and Zhifang Zhang

Abstract

With respect to a special class of access structures based on connectivity of graphs, we start from a linear secret sharing scheme and turn it into a secret sharing scheme with perfect security and exponentially small error probability by randomizing the reconstruction algorithm through random walks on graphs. It reduces the polynomial work space to logarithmic. Then we build the corresponding statistical multiparty computation protocol by using the secret sharing scheme. The results of this paper also imply the inherent connections and influences among secret sharing, randomized algorithms, and secure multi-party computation.

Metadata
Available format(s)
PDF
Category
Cryptographic protocols
Publication info
Published elsewhere. Unknown where it was published
Keywords
secret sharingdistributed cryptography
Contact author(s)
mlliu @ amss ac cn
zfz @ amss ac cn
History
2005-09-27: received
Short URL
https://ia.cr/2005/337
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2005/337,
      author = {Liangliang Xiao and Mulan Liu and Zhifang Zhang},
      title = {Statistical Multiparty Computation Based on Random Walks on Graphs},
      howpublished = {Cryptology {ePrint} Archive, Paper 2005/337},
      year = {2005},
      url = {https://eprint.iacr.org/2005/337}
}
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