[Resource Topic] 2007/046: Direct Reduction of String (1,2)-OT to Rabin's OT

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Title:
Direct Reduction of String (1,2)-OT to Rabin’s OT

Authors: 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.

ePrint: https://eprint.iacr.org/2007/046

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