## Cryptology ePrint Archive: Report 1997/003

Efficient Cryptographic Protocols Based on Noisy Channels.

Claude Crepeau

Abstract: The Wire-Tap Channel of Wyner shows that a Binary Symmetric Channel may be used as a basis for exchanging a secret key. Later, Crepeau and Kilian showed how a BSC may be used to implement Oblivious Transfer. Unfortunately, this result is rather impractical as it requires $n sup 11$ bits to be sent through the BSC to accomplish a single OT. The current paper provides efficient protocols to achieve Bit Commitment and Oblivious Transfer based on the existence of a BSC. Our protocols respectively use the BSC $n$ times and $n sup 3$ times. These results are based on a technique known as Generalized Privacy Amplification.

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Publication Info: Appeared in the THEORY OF CRYPTOGRAPHY LIBRARY and has been included in the ePrint Archive.