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

*Ignacio Cascudo and Ivan Damgård and Felipe Lacerda and 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.

**Category / Keywords: **cryptographic protocols / oblivious transfer, elastic channels, key agreement, commitments

**Original Publication**** (in the same form): **IACR-TCC-2016

**Date: **received 11 Feb 2016, last revised 10 Nov 2016

**Contact author: **ignacio at math aau dk

**Available format(s): **PDF | BibTeX Citation

**Version: **20161110:191428 (All versions of this report)

**Short URL: **ia.cr/2016/120

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