[Resource Topic] 2007/065: How to Derive Lower Bound on Oblivious Transfer Reduction

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Title:
How to Derive Lower Bound on Oblivious Transfer Reduction

Authors: Kaoru Kurosawa, Wataru Kishimoto, Takeshi Koshiba

Abstract:

Suppose that we are given an ideal oblivious transfer protocol (OT). We wish to construct a larger OT by using the above OT as a blackbox. Then how many instances of the given ideal OT should be invoked ? For this problem, some lower bounds were derived using entropy. In this paper, we show more tight lower bounds by using combinatorial techniques. Roughly speaking, our lower bounds are two times larger than the previous bounds.

ePrint: https://eprint.iacr.org/2007/065

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