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CRYPTO
2005
Springer

One-Way Secret-Key Agreement and Applications to Circuit Polarization and Immunization of Public-Key Encryption

9 years 9 months ago
One-Way Secret-Key Agreement and Applications to Circuit Polarization and Immunization of Public-Key Encryption
Secret-key agreement between two parties Alice and Bob, connected by an insecure channel, can be realized in an informationtheoretic sense if the parties share many independent pairs of correlated and partially secure bits. We study the special case where only one-way communication from Alice to Bob is allowed and where, for each of the bit pairs, with a certain probability, the adversary has no information on Alice’s bit. We give an expression which, for this situation, exactly characterizes the rate at which Alice and Bob can generate secret key bits. This result can be used to analyze a slightly restricted variant of the problem of polarizing circuits, introduced by Sahai and Vadhan in the context of statistical zero-knowledge, which we show to be equivalent to secret-key agreement as described above. This provides us both with new constructions to polarize circuits, but also proves that the known constructions work for parameters which are tight. As a further application of our r...
Thomas Holenstein, Renato Renner
Added 26 Jun 2010
Updated 26 Jun 2010
Type Conference
Year 2005
Where CRYPTO
Authors Thomas Holenstein, Renato Renner
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