Paper 2017/038

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

Fabrice Benhamouda, Florian Bourse, and Helger Lipmaa

Abstract

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.

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
Published by the IACR in PKC 2017
Keywords
DCRDDHinner-product functional encryptionprojective hash functionsCCA-security
Contact author(s)
fabrice benhamouda @ normalesup org
florian bourse @ ens fr
helger lipmaa @ gmail com
History
2017-01-15: received
Short URL
https://ia.cr/2017/038
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2017/038,
      author = {Fabrice Benhamouda and Florian Bourse and Helger Lipmaa},
      title = {CCA-Secure Inner-Product Functional Encryption from Projective Hash Functions},
      howpublished = {Cryptology ePrint Archive, Paper 2017/038},
      year = {2017},
      note = {\url{https://eprint.iacr.org/2017/038}},
      url = {https://eprint.iacr.org/2017/038}
}
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