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2015 | OriginalPaper | Buchkapitel

Function-Hiding Inner Product Encryption

verfasst von : Allison Bishop, Abhishek Jain, Lucas Kowalczyk

Erschienen in: Advances in Cryptology -- ASIACRYPT 2015

Verlag: Springer Berlin Heidelberg

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Abstract

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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Fußnoten
1
Here, the security definition for function privacy determines the security notion of program obfuscation that we obtain. See, e.g., [6] for further discussion on this connection.
 
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Metadaten
Titel
Function-Hiding Inner Product Encryption
verfasst von
Allison Bishop
Abhishek Jain
Lucas Kowalczyk
Copyright-Jahr
2015
Verlag
Springer Berlin Heidelberg
DOI
https://doi.org/10.1007/978-3-662-48797-6_20