Batch Groth-Sahai

Olivier Blazy 1, 2 Georg Fuchsbauer 1, 2 Malika Izabachène 3 Amandine Jambert 4, 5 Hervé Sibert 6 Damien Vergnaud 1, 2
1 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
2 LIENS - Laboratoire d'informatique de l'école normale supérieure
3 UVSQ - Université de Versailles Saint-Quentin-en-Yvelines
4 Orange Labs [Caen]
5 IMB - Institut de Mathématiques de Bordeaux
6 ST-Ericsson [Le Mans]
Abstract : In 2008, Groth and Sahai proposed a general methodology for constructing non-interactive zero-knowledge (and witness-indistinguishable) proofs in bilinear groups. While avoiding expensive NP-reductions, these proof systems are still inefficient due to a number of pairing computations required for verification. We apply recent techniques of batch verification to the Groth-Sahai proof systems and manage to improve significantly the complexity of proof verification. We give explicit batch verification formulas for generic Groth-Sahai equations (whose cost is less than a tenth of the original) and also for specific popular protocols relying on their methodology (namely Groth's group signatures and Belenkiy-Chase-Kohlweiss-Lysyanskaya's P-signatures).
Keywords : Pairing-based cryptography Batch veri cation Groth-Sahai proof system
Type de document :
Communication dans un congrès
Jianying Zhou and Moti Yung. Applied Cryptography and Network Security, 8th International Conference, ACNS 2010, Jun 2010, Beijing, China. Springer, 6123, pp.218-235, 2010, Lecture Notes in Computer Science. 〈http://www.springerlink.com/content/hv34521472vp7m43/〉. 〈10.1007/978-3-642-13708-14〉
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Olivier Blazy, Georg Fuchsbauer, Malika Izabachène, Amandine Jambert, Hervé Sibert, et al.. Batch Groth-Sahai. Jianying Zhou and Moti Yung. Applied Cryptography and Network Security, 8th International Conference, ACNS 2010, Jun 2010, Beijing, China. Springer, 6123, pp.218-235, 2010, Lecture Notes in Computer Science. 〈http://www.springerlink.com/content/hv34521472vp7m43/〉. 〈10.1007/978-3-642-13708-14〉. 〈inria-00577167〉

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