Paper 2016/011

Better Security for Functional Encryption for Inner Product Evaluations

Michel Abdalla, Florian Bourse, Angelo De Caro, and David Pointcheval


Functional encryption is a new public key paradigm that solves, in a non-interactive way, most of the security challenges raised by cloud computing. A recent paper by Abdalla, Bourse, De Caro, and Pointcheval shows a functional encryption scheme for evaluations of inner products whose security can be proven under simple assumptions. Inner product evaluation is a simple, but quite powerful functionality, that suffices for many concrete applications. We analyze the different security notions for functional encryption for inner product evaluation and propose a new generic construction that achieves security against adaptive adversaries. We show 3 instantiations based on the ElGamal encryption (plain DDH assumption), Paillier/BCP encryption (DCR assumption), and Regev encryption (LWE assumption). All of them have different advantages and drawbacks, but with acceptable trade-offs, and rely on standard assumptions.

Available format(s)
Public-key cryptography
Publication info
Preprint. MINOR revision.
Functional EncryptionAdaptive SecurityInner-ProductGeneric Constructions.
Contact author(s)
florian bourse @ ens fr
2016-01-28: revised
2016-01-06: received
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Short URL
Creative Commons Attribution


      author = {Michel Abdalla and Florian Bourse and Angelo De Caro and David Pointcheval},
      title = {Better Security for Functional Encryption for Inner Product Evaluations},
      howpublished = {Cryptology ePrint Archive, Paper 2016/011},
      year = {2016},
      note = {\url{}},
      url = {}
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