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Proofs on Encrypted Values in Bilinear Groups and an Application to Anonymity of Signatures

Georg Fuchsbauer 1, 2 David Pointcheval 1, 2
2 CASCADE - Construction and Analysis of Systems for Confidentiality and Authenticity of Data and Entities
DI-ENS - Département d'informatique de l'École normale supérieure, Inria Paris-Rocquencourt, CNRS - Centre National de la Recherche Scientifique : UMR 8548
Abstract : We give a generic methodology to unlinkably anonymize cryptographic schemes in bilinear groups using the Boneh-Goh-Nissim cryptosystem and NIZK proofs in the line of Groth, Ostrovsky and Sahai. We illustrate our techniques by presenting the first instantiation of anonymous proxy signatures (in the standard model), a recent primitive unifying the functionalities and strong security notions of group and proxy signatures. To construct our scheme, we introduce various efficient NIZK and witness-indistinguishable proofs, and a relaxed version of simulation soundness.
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https://hal.inria.fr/inria-00539544
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Georg Fuchsbauer, David Pointcheval. Proofs on Encrypted Values in Bilinear Groups and an Application to Anonymity of Signatures. Third International Conference on Pairing-based Cryptography (Pairing 2009), 2009, Palo Alto, California, United States. pp.132-149, ⟨10.1007/978-3-642-03298-1_10⟩. ⟨inria-00539544⟩

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