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The authors consider the security of Identity-Based Encryption (IBE) in the setting of multiple Trusted Authorities (TAs). In this multi-TA setting, they envisage multiple TAs sharing some common parameters, but each TA generating its own master secrets and master public keys. They provide security notions and security models for the multi-TA setting which can be seen as natural extensions of existing notions and models for the single-TA setting. In addition, they study the concept of TA anonymity, which formally models the inability of an adversary to distinguish two ciphertexts corresponding to the same message and identity but generated using different TA master public keys.
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