Paper 2007/046 Original: eprint.iacr.org/2007/046 ↗

Direct Reduction of String (1,2)-OT to Rabin's OT

Kaoru Kurosawa
Takeshi Koshiba
Abstract

It is known that string (1,2)-OT and Rabin's OT are equivalent. However, two steps are required to construct a string $(1,2)$-OT from Rabin's OT. The first step is a construction of a bit (1,2)-OT from Rabin's OT, and the second step is a construction of a string $(1,2)$-OT from the bit (1,2)-OT. No direct reduction is known. In this paper, we show a direct reduction of string (1,2)-OT to Rabin's OT by using a deterministic randomness extractor. Our reduction is much more efficient than the previous two-step reduction.

Metadata
Available format(s)
PDF
Category
Foundations
Publication info
Preprint.
History
2007-03-31: last updated
2007-02-14: published
Short URL
https://ia.cr/2007/046
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2007/046,
      author = {Kaoru Kurosawa and Takeshi Koshiba},
      title = {Direct Reduction of String (1,2)-OT to Rabin's OT},
      howpublished = {Cryptology {ePrint} Archive, Paper 2007/046},
      year = {2007},
      url = {https://eprint.iacr.org/2007/046}
}
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