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| Paper IPM / M / 18131 |
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| Abstract: | |
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A flexible multi-client functional encryption scheme for set intersection (FMCFE- SI) [Rafiee, J. Supercomput 2023] is a cryptographic primitive that enables an eval- uator to learn the intersection from any arbitrary subsets of a fixed client set, without need to learn the plaintext set of each individual client. In [Rafiee, J. Supercom- put 2023], several security notions for FMCFE-SI, as well as the relations between them, are proposed. Constructing an FMCFE-SI with indistinguishability security against adaptive adversary (aIND) has remained as a challenging problem so far. In this paper, we propose a new FMCFE-SI construction to achieve this security notion in the random oracle model. We prove the security of our FMCFE-SI con- struction under Decisional Diffieâ??Hellman assumption in G1 (DDH1) in the bilinear groups. Our FMCFE-SI construction, compared to other existing constructions, does not increase the computational and storage overheads despite satisfying the stronger security notion.
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