International Association for Cryptologic Research

International Association
for Cryptologic Research

IACR News item: 05 July 2015

Allison Bishop, Abhishek Jain, Lucas Kowalczyk
ePrint Report ePrint Report
We extend the reach of functional encryption schemes that are provably secure under simple assumptions against unbounded collusion to include function-hiding inner product schemes. Our scheme is a private key functional encryption scheme, where ciphertexts correspond to vectors $\\vec{x}$, secret keys correspond to vectors $\\vec{y}$, and a decryptor learns $\\langle \\vec{x}, \\vec{y} \\rangle$. Our scheme employs asymmetric bilinear maps and relies only on the SXDH assumption to satisfy a natural indistinguishability-based security notion where arbitrarily many key and ciphertext vectors can be simultaneously changed as long as the key-ciphertext dot product relationships are all preserved.

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