Paper 2014/137

Efficient, Oblivious Data Structures for MPC

Marcel Keller and Peter Scholl

Abstract

We present oblivious implementations of several data structures for secure multiparty computation (MPC) such as arrays, dictionaries, and priority queues. The resulting oblivious data structures have only polylogarithmic overhead compared with their classical counterparts. To achieve this, we give secure multiparty protocols for the ORAM of Shi et al. (Asiacrypt `11) and the Path ORAM scheme of van Dijk et al. (CCS `13), and we compare the resulting implementations. We subsequently use our oblivious priority queue for secure computation of Dijkstra's shortest path algorithm on general graphs, where the graph structure is secret. To the best of our knowledge, this is the first implementation of a non-trivial graph algorithm in multiparty computation with polylogarithmic overhead. We implemented and benchmarked all of our protocols using the SPDZ protocol of Damgaard et al. (Crypto `12), which works in the preprocessing model and ensures active security against an adversary corrupting all but one players. For two parties, the access time for an oblivious array of size 1 million is under 250 ms.

Metadata
Available format(s)
PDF
Category
Cryptographic protocols
Publication info
Preprint. MINOR revision.
Keywords
Multiparty computationdata structuresoblivious RAMshortest path algorithm
Contact author(s)
m keller @ bristol ac uk
History
2014-08-15: revised
2014-02-24: received
See all versions
Short URL
https://ia.cr/2014/137
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2014/137,
      author = {Marcel Keller and Peter Scholl},
      title = {Efficient, Oblivious Data Structures for MPC},
      howpublished = {Cryptology ePrint Archive, Paper 2014/137},
      year = {2014},
      note = {\url{https://eprint.iacr.org/2014/137}},
      url = {https://eprint.iacr.org/2014/137}
}
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