Identity-Based (lossy) trapdoor functions and applications

  • Authors:
  • Mihir Bellare;Eike Kiltz;Chris Peikert;Brent Waters

  • Affiliations:
  • Department of Computer Science & Engineering, University of California, San Diego;Horst Görtz Institut für IT-Sicherheit, Ruhr-Universität Bochum, Germany;School of Computer Science, College of Computing, Georgia Institute of Technology;Department of Computer Science, University of Texas at Austin

  • Venue:
  • EUROCRYPT'12 Proceedings of the 31st Annual international conference on Theory and Applications of Cryptographic Techniques
  • Year:
  • 2012

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Abstract

We provide the first constructions of identity-based (injective) trapdoor functions. Furthermore, they are lossy. Constructions are given both with pairings (DLIN) and lattices (LWE). Our lossy identitybased trapdoor functions provide an automatic way to realize, in the identity-based setting, many functionalities previously known only in the public-key setting. In particular we obtain the first deterministic and efficiently searchable IBE schemes and the first hedged IBE schemes, which achieve best possible security in the face of bad randomness. Underlying our constructs is a new definition, namely partial lossiness, that may be of broader interest.