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Identity-based encryption is a very convenient tool to avoid key management. Recipient-privacy is also a major concern nowadays. To combine both, anonymous identity-based encryption has been proposed. This paper extends this notion to stronger adversaries (the authority itself). The authors discuss this new notion, together with a new kind of non-malleability with respect to the identity, for several existing schemes. Interestingly enough, such a new anonymity property has an independent application to password-authenticated key exchange. They thus come up with a new generic framework for password-authenticated key exchange, and a concrete construction based on pairings.
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