International Association for Cryptologic Research

International Association
for Cryptologic Research

CryptoDB

Paper: Multi-Input Functional Encryption for Inner Products: Function-Hiding Realizations and Constructions Without Pairings

Authors:
Michel Abdalla
Dario Catalano
Dario Fiore
Romain Gay
Bogdan Ursu
Download:
DOI: 10.1007/978-3-319-96884-1_20
Search ePrint
Search Google
Conference: CRYPTO 2018
Abstract: We present new constructions of multi-input functional encryption (MIFE) schemes for the inner-product functionality that improve the state of the art solution of Abdalla et al. (Eurocrypt 2017) in two main directions.First, we put forward a novel methodology to convert single-input functional encryption for inner products into multi-input schemes for the same functionality. Our transformation is surprisingly simple, general and efficient. In particular, it does not require pairings and it can be instantiated with all known single-input schemes. This leads to two main advances. First, we enlarge the set of assumptions this primitive can be based on, notably, obtaining new MIFEs for inner products from plain DDH, LWE, and Decisional Composite Residuosity. Second, we obtain the first MIFE schemes from standard assumptions where decryption works efficiently even for messages of super-polynomial size.Our second main contribution is the first function-hiding MIFE scheme for inner products based on standard assumptions. To this end, we show how to extend the original, pairing-based, MIFE by Abdalla et al. in order to make it function hiding, thus obtaining a function-hiding MIFE from the MDDH assumption.
Video from CRYPTO 2018
Video provided under Creative Commons / CC BY 3.0
BibTeX
@inproceedings{crypto-2018-28853,
  title={Multi-Input Functional Encryption for Inner Products: Function-Hiding Realizations and Constructions Without Pairings},
  booktitle={Advances in Cryptology – CRYPTO 2018},
  series={Lecture Notes in Computer Science},
  publisher={Springer},
  volume={10991},
  pages={597-627},
  doi={10.1007/978-3-319-96884-1_20},
  author={Michel Abdalla and Dario Catalano and Dario Fiore and Romain Gay and Bogdan Ursu},
  year=2018
}