Adaptively secure identity-based identification from lattices without random oracles

  • Authors:
  • Markus Rückert

  • Affiliations:
  • Technische Universität Darmstadt, Department of Computer Science, Cryptography and Computeralgebra, Germany

  • Venue:
  • SCN'10 Proceedings of the 7th international conference on Security and cryptography for networks
  • Year:
  • 2010

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Abstract

We propose a concurrently secure, identity-based identification scheme from lattices. It offers adaptive-identity security in the standard model, quasi optimal online performance, optimal leakage resilience, and its security is based on mild worst-case assumptions in ideal lattices. Our scheme uses an ideal-lattice interpretation of the Bonsai tree concept in lattices (EUROCRYPT 2010), which we call convoluted Bonsai trees. It allows us to build an identity-based identification scheme in a new "static identity" model that is weaker than the standard "adaptive identity" model. We show that both models are equivalent under the existence of Chameleon hash functions.