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Decentralizing attribute based encryption is a variant of multi-authority attribute based encryption which doesn't require a trusted central authority to conduct the system setup. In this paper, the authors propose an expressive decentralizing KP-ABE scheme with constant ciphertext size. In their construction, the access policy can be expressed as any non-monotone access structure. Meanwhile, the ciphertext size is independent on the number of attributes used in the scheme. They prove that their scheme is semantic secure in so-called Selective-Set model based on the n-DBDHE assumption. To the best of their knowledge, this is the first multi-authority attribute based encryption scheme realizing such expressive access policy and constant ciphertext size.
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