Paper 2022/380 Original: eprint.iacr.org/2022/380 ↗

A Linear-Time 2-Party Secure Merge Protocol

Brett Hemenway Falk
Rohit Nema
Rafail Ostrovsky
Abstract

We present a linear-time, space and communication data-oblivious algorithm for securely merging two private, sorted lists into a single sorted, secret-shared list in the two party setting. Although merging two sorted lists can be done insecurely in linear time, previous secure merge algorithms all require super-linear time and communication. A key feature of our construction is a novel method to obliviously traverse permuted lists in sorted order. Our algorithm only requires black-box use of the underlying Additively Homomorphic cryptosystem and generic secure computation schemes for comparison and equality testing.

Metadata
Available format(s)
PDF
Category
Cryptographic protocols
Publication info
Preprint.
History
2022-03-28: last updated
2022-03-28: published
Short URL
https://ia.cr/2022/380
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2022/380,
      author = {Brett Hemenway Falk and Rohit Nema and Rafail Ostrovsky},
      title = {A Linear-Time 2-Party Secure Merge Protocol},
      howpublished = {Cryptology {ePrint} Archive, Paper 2022/380},
      year = {2022},
      url = {https://eprint.iacr.org/2022/380}
}
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