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Oblivious transfer from any non-trivial elastic noisy channel via secret key agreement. (English) Zbl 1369.94522
Hirt, Martin (ed.) et al., Theory of cryptography. 14th international conference, TCC 2016-B, Beijing, China, October 31 – November 3, 2016. Proceedings. Part I. Berlin: Springer (ISBN 978-3-662-53640-7/pbk; 978-3-662-53641-4/ebook). Lecture Notes in Computer Science 9985, 204-234 (2016).
Summary: 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 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 [D. Khurana et al., Eurocrypt 2016, Lect. Notes Comput. Sci. 9666, 184–212 (2016; Zbl 1369.94544)] 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.
For the entire collection see [Zbl 1347.94003].
##### MSC:
 94A60 Cryptography
##### Keywords:
oblivious transfer; elastic channels; key agreement; commitments
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##### References:
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