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At EUROCRYPT 2005, Sahai and Waters presented the Fuzzy Identity Based Encryption (Fuzzy-IBE) which could be used for biometrics and attribute-based encryption in the selective-identity model. When a secure Fuzzy-IBE scheme in the selective-identity model is transformed to full identity model it exist an exponential loss of security. In this paper, the authors use the CPA secure Gentry's IBE (Exponent inversion IBE) to construct the first Fuzzy IBE that is fully secure without random oracles.
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