Paper 2018/603

Actively Secure OT-Extension from q-ary Linear Codes

Ignacio Cascudo, René Bødker Christensen, and Jaron Skovsted Gundersen

Abstract

We consider recent constructions of $1$-out-of-$N$ OT-extension from Kolesnikov and Kumaresan (CRYPTO 2013) and from Orrú et al. (CT-RSA 2017), based on binary error-correcting codes. We generalize their constructions such that $q$-ary codes can be used for any prime power $q$. This allows to reduce the number of base $1$-out-of-$2$ OT's that are needed to instantiate the construction for any value of $N$, at the cost of increasing the complexity of the remaining part of the protocol. We analyze these trade-offs in some concrete cases.

Note: In the published version of this work, we were unfortunately not aware of "Fast actively secure OT extension for short secrets" by Patra et al. This version adds a remark about that paper.

Metadata
Available format(s)
PDF
Category
Cryptographic protocols
Publication info
Published elsewhere. Minor revision. Security and Cryptography for Networks (SCN 2018). Lecture Notes in Computer Science, vol 11035
DOI
10.1007/978-3-319-98113-0_18
Keywords
oblivious transfer
Contact author(s)
rene @ math aau dk
History
2019-09-18: last of 2 revisions
2018-06-18: received
See all versions
Short URL
https://ia.cr/2018/603
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2018/603,
      author = {Ignacio Cascudo and René Bødker Christensen and Jaron Skovsted Gundersen},
      title = {Actively Secure {OT}-Extension from q-ary Linear Codes},
      howpublished = {Cryptology {ePrint} Archive, Paper 2018/603},
      year = {2018},
      doi = {10.1007/978-3-319-98113-0_18},
      url = {https://eprint.iacr.org/2018/603}
}
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