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    Key-Privacy in Public-Key Encryption

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    We consider a novel security requirement of encryption schemes that we call ``key-privacy'' or ``anonymity.'' It asks that an eavesdropper in possession of a ciphertext not be able to tell which specific key, out of a set of known public keys, is the one under which the ciphertext was created, meaning the receiver is anonymous from the point of view of the adversary. We investigate the anonymity of known encryption schemes. We prove that the El Gamal scheme provides anonymity under chosen-plaintext attack assuming the Decision Diffie-Hellman problem is hard and that the Cramer-Shoup scheme provides anonymity under chosen-ciphertext attack under the same assumption. We also consider anonymity for trapdoor permutations. Known attacks indicate that the RSA trapdoor permutation is not anonymous and neither are the standard encryption schemes based on it. We provide a variant of RSA-OAEP that provides anonymity in the random oracle model assuming RSA is one-way. We also give constructions of anonymous trapdoor permutations, assuming RSA is one-way, which yield anonymous encryption schemes in the standard model.

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    Description

    Title : Key-Privacy in Public-Key Encryption
    Author(s) : Mihir Bellare, Alexandra Boldyreva, Anand Desai, David Pointcheval
    Abstract : We consider a novel security requirement of encryption schemes that we call ``key-privacy'' or ``anonymity.'' It asks that an eavesdropper in possession of a ciphertext not be able to tell which specific key, out of a set of known public keys, is the one under which the ciphertext was created, meaning the receiver is anonymous from the point of view of the adversary. We investigate the anonymity of known encryption schemes. We prove that the El Gamal scheme provides anonymity under chosen-plaintext attack assuming the Decision Diffie-Hellman problem is hard and that the Cramer-Shoup scheme provides anonymity under chosen-ciphertext attack under the same assumption. We also consider anonymity for trapdoor permutations. Known attacks indicate that the RSA trapdoor permutation is not anonymous and neither are the standard encryption schemes based on it. We provide a variant of RSA-OAEP that provides anonymity in the random oracle model assuming RSA is one-way. We also give constructions of anonymous trapdoor permutations, assuming RSA is one-way, which yield anonymous encryption schemes in the standard model.
    Keywords : anonymity, cramer shoup, el gamal, encryption, key privacy, oaep, rsa

    Subject : unspecified
    Area : Other
    Language : English
    Year : 2001

    Affiliations ENS, Paris, France
    Editors : Colin Boyd
    Journal : Lecture Notes in Computer Science
    Volume : 2248
    Publisher : Springer
    Pages : 566-582
    Url : http://www.springerlink.com/index/105J3P678UBRL5LY.pdf
    Doi : 10.1007/3-540-45682-1_33

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