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Identity-Based Encryption with (Almost) Tight Security in the Multi-instance, Multi-ciphertext Setting

  • Dennis Hofheinz
  • Jessica Koch
  • Christoph Striecks
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9020)

Abstract

We construct an identity-based encryption (IBE) scheme that is tightly secure in a very strong sense. Specifically, we consider a setting with many instances of the scheme and many encryptions per instance. In this setting, we reduce the security of our scheme to a variant of a simple assumption used for a similar purpose by Chen and Wee (Crypto 2013). The security loss of our reduction is (\(\mathbf {O}\) (\(k\)) ) (where \(k \) is the security parameter). Our scheme is the first IBE scheme to achieve this strong flavor of tightness under a simple assumption.

Technically, our scheme is a variation of the IBE scheme by Chen and Wee. However, in order to “lift” their results to the multi-instance, multi-ciphertext case, we need to develop new ideas. In particular, while we build on (and extend) their high-level proof strategy, we deviate significantly in the low-level proof steps.

Keywords

Random Oracle Probabilistic Polynomial Time Challenge Ciphertext Nontrivial Subgroup Extraction Query 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© International Association for Cryptologic Research 2015

Authors and Affiliations

  • Dennis Hofheinz
    • 1
  • Jessica Koch
    • 1
  • Christoph Striecks
    • 1
  1. 1.KITKarlsruheGermany

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