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**2016/120**

**Title:**

Oblivious Transfer from Any Non-Trivial Elastic Noisy Channels via Secret Key Agreement

**Authors:**
Ignacio Cascudo, Ivan Damgård, Felipe Lacerda, Samuel Ranellucci

**Abstract:**

A (\gamma,\delta)-elastic channel is a binary symmetric channel between a sender and a receiver where the error rate of an honest receiver is \delta while the error rate of a dishonest receiver lies within the interval [\gamma, \delta]. In this paper, we show that from \emph{any} non-trivial elastic channel (i.e., 0<\gamma<\delta<\frac{1}{2}) we can implement oblivious transfer with information theoretic security. This was previously (Khurana et al., Eurocrypt 2016) only known for a subset of these parameters. Our technique relies on a new way to exploit protocols for information-theoretic key agreement from noisy channels. We also show that information theoretically secure commitments where the receiver commits follow from any non-trivial elastic channel.

**ePrint:**
https://eprint.iacr.org/2016/120

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