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Electronic Colloquium on Computational Complexity

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TR12-167 | 16th November 2012
Periklis Papakonstantinou, Charles Rackoff, Yevgeniy Vahlis

How powerful are the DDH hard groups?

The question whether Identity-Based Encryption (IBE) can be based on the Decisional Diffie-Hellman (DDH) assumption is one of the most prominent questions in Cryptography related to DDH. We study limitations on the use of the DDH assumption in cryptographic constructions, and show that it is impossible to construct a secure ... more >>>


TR12-166 | 25th November 2012
Elad Haramaty, Madhu Sudan

Deterministic Compression with Uncertain Priors

We consider the task of compression of information when the source of the information and the destination do not agree on the prior, i.e., the distribution from which the information is being generated. This setting was considered previously by Kalai et al. (ICS 2011) who suggested that this was a ... more >>>


TR12-165 | 19th November 2012
Martin Albrecht, Pooya Farshim, Jean-Charles Faugère, Gottfried Herold, Ludovic Perret

Polly Cracker, Revisited

We initiate the formal treatment of cryptographic constructions based on the hardness of computing remainders modulo an ideal in multivariate polynomial rings. Of particular interest to us is a class of schemes known as "Polly Cracker." We start by formalising and studying the relation between the ideal remainder problem and ... more >>>



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