# Lattice-Based Group Signatures with Logarithmic Signature Size

* Auteur correspondant
1 ARIC - Arithmetic and Computing
Inria Grenoble - Rhône-Alpes, LIP - Laboratoire de l'Informatique du Parallélisme
Abstract : Group signatures are cryptographic primitives where users can anonymously sign messages in the name of a population they belong to. Gordon {\em et al.} (Asiacrypt 2010) suggested the first realization of group signatures based on lattice assumptions in the random oracle model. A significant drawback of their scheme is its linear signature size in the cardinality $N$ of the group. A recent extension proposed by Camenisch {\em et al.} (SCN 2012) suffers from the same overhead. In this paper, we describe the first lattice-based group signature schemes where the signature and public key sizes are essentially logarithmic in~$N$ (for any fixed security level). Our basic construction only satisfies a relaxed definition of anonymity (just like the Gordon {\it et al.} system) but readily extends into a fully anonymous group signature ({\it i.e.}, that resists adversaries equipped with a signature opening oracle). We prove the security of our schemes in the random oracle model under the SIS and LWE assumptions.
Type de document :
Communication dans un congrès
Kazue Sako, Palash Sarkar. ASIACRYPT 2013 - 19th International Conference on the Theory and Application of Cryptology and Information Security, Dec 2013, Bangaluru, India. 8270, 2013, LNCS. 〈10.1007/978-3-642-42045-0_3〉

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https://hal.inria.fr/hal-00920420
Contributeur : Fabien Laguillaumie <>
Soumis le : lundi 31 mars 2014 - 10:17:44
Dernière modification le : samedi 16 mars 2019 - 17:10:08
Document(s) archivé(s) le : samedi 8 avril 2017 - 07:42:13

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Fabien Laguillaumie, Adeline Langlois, Benoît Libert, Damien Stehlé. Lattice-Based Group Signatures with Logarithmic Signature Size. Kazue Sako, Palash Sarkar. ASIACRYPT 2013 - 19th International Conference on the Theory and Application of Cryptology and Information Security, Dec 2013, Bangaluru, India. 8270, 2013, LNCS. 〈10.1007/978-3-642-42045-0_3〉. 〈hal-00920420〉

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