[Resource Topic] 2022/1532: Function-Hiding Decentralized Multi-Client Functional Encryption for Inner Products

Welcome to the resource topic for 2022/1532

Title:
Function-Hiding Decentralized Multi-Client Functional Encryption for Inner Products

Authors: Ky Nguyen, David Pointcheval, Robert Schädlich

Abstract:

Decentralized Multi-Client Functional Encryption (DMCFE) extends the basic functional encryption to multiple clients that do not trust each other. They can independently encrypt the multiple inputs to be given for evaluation to the function embedded in the functional decryption key. And they keep control on these functions as they all have to contribute to the generation of the functional decryption keys.
As any encryption scheme, all the FE schemes provide privacy of the plaintexts. But the functions associated to the functional decryption keys might be sensitive too (e.g. a model in machine learning). The function-hiding property has thus been introduced to additionally protect the function evaluated during the decryption process. But it was not properly defined for previous definitions of DMCFE.
In this paper, we provide a formal definition of DMCFE with complete function-hiding security game. We thereafter propose a concrete construction of function-hiding DMCFE for inner products, with strong security guarantees: the adversary is allowed to adaptively query multiple challenge ciphertexts and multiple challenge keys. Previous constructions were proven secure for a single challenge ciphertext only, in the selective setting (i.e. provided before the setup).

ePrint: https://eprint.iacr.org/2022/1532

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