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(Hierarchical) Identity-Based Encryption from Affine Message Authentication

  • Olivier Blazy
  • Eike Kiltz
  • Jiaxin Pan
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8616)

Abstract

We provide a generic transformation from any affine message authentication code (MAC) to an identity-based encryption (IBE) scheme over pairing groups of prime order. If the MAC satisfies a security notion related to unforgeability against chosen-message attacks and, for example, the k-Linear assumption holds, then the resulting IBE scheme is adaptively secure. Our security reduction is tightness preserving, i.e., if the MAC has a tight security reduction so has the IBE scheme. Furthermore, the transformation also extends to hierarchical identity-based encryption (HIBE). We also show how to construct affine MACs with a tight security reduction to standard assumptions. This, among other things, provides the first tightly secure HIBE in the standard model.

Keywords

IBE HIBE standard model tight reduction 

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Copyright information

© International Association for Cryptologic Research 2014

Authors and Affiliations

  • Olivier Blazy
    • 1
  • Eike Kiltz
    • 1
  • Jiaxin Pan
    • 1
  1. 1.Faculty of Mathematics, Horst Görtz Institute for IT-SecurityRuhr University BochumGermany

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