Decentralized Multi-Authority Functional Encryption with Malicious Authorities from Standard Assumptions

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We design decentralized multi-authority functional encryption (MAFE) for $\mathsf{P/Poly}$ circuits from minimal assumptions in both the bounded-collusion and fully collusion-resistant models, i.e., from public-key encryption and from functional encryption, respectively. Prior constructions required sub-exponentially hard public-key encryption with random oracles (bounded collusion) or sub-exponentially-hard obfuscation (collusion-resistant). Under the additional assumption of SXDH or LWE, ou