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Traceable multi-authority ciphertext-policy attribute-based encryption (CP-ABE) is a practical encryption method that can achieve user traceability and fine-grained access control simultaneously. However, existing traceable multi-authority CP-ABE schemes have two main limitations that prevent them from practical applications. First, these schemes only support small universe: the attributes must be fixed at system setup and the attribute space is restricted to polynomial size. Second, the schemes are either less expressive (the access policy is limited to “AND gates with wildcard”) or inefficient (the system is constructed in composite order bilinear groups). To address these limitations, we present a traceable large universe multi-authority CP-ABE scheme, and further prove that it is statically secure in the random oracle model. Compared with existing traceable multi-authority CP-ABE schemes, the proposed …