CCA-Secure Inner-Product Functional Encryption from Projective Hash Functions

  • Fabrice Benhamouda
  • Florian Bourse
  • Helger Lipmaa
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10175)


In an inner-product functional encryption scheme, the plaintexts are vectors and the owner of the secret key can delegate the ability to compute weighted sums of the coefficients of the plaintext of any ciphertext. Recently, many inner-product functional encryption schemes were proposed. However, none of the known schemes are secure against chosen ciphertext attacks (IND-FE-CCA).

We present a generic construction of IND-FE-CCA inner-product functional encryption from projective hash functions with homomorphic properties. We show concrete instantiations based on the DCR assumption, the DDH assumption, and more generally, any Matrix DDH assumption.


DCR DDH Inner-product functional encryption Projective hash functions CCA-security 

Copyright information

© International Association for Cryptologic Research 2017

Authors and Affiliations

  • Fabrice Benhamouda
    • 1
  • Florian Bourse
    • 2
  • Helger Lipmaa
    • 3
  1. 1.IBM ResearchYorktown HeightsUSA
  2. 2.ENS, CNRS, INRIA, PSL Research UniversityParisFrance
  3. 3.Institute of Computer ScienceUniversity of TartuTartuEstonia

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