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A FULLY HOMOMORPHIC ENCRYPTION SCHEME A …

A FULLY HOMOMORPHIC ENCRYPTION SCHEMEA DISSERTATIONSUBMITTED TO THE DEPARTMENT OF COMPUTER SCIENCEAND THE COMMITTEE ON GRADUATE STUDIESOF STANFORD UNIVERSITYIN PARTIAL FULFILLMENT OF THE REQUIREMENTSFOR THE DEGREE OFDOCTOR OF PHILOSOPHYC raig GentrySeptember 2009c Copyright by Craig Gentry 2009 All Rights ReservediiI certify that I have read this dissertation and that, in my opinion, it is fullyadequate in scope and quality as a dissertation for the degree of Doctor ofPhilosophy.(Dan Boneh) Principal AdviserI certify that I have read this dissertation and that, in my opinion, it is fullyadequate in scope and quality as a dissertation for the degree of Doctor ofPhilosophy.

Rivest, Adleman and Dertouzous [120] shortly after the invention of RSA by Rivest, Shamir, and Adleman [121]. Basic RSA is a multiplicatively homomorphic encryption scheme { i.e., given RSA public key pk = (N;e) and ciphertexts fˆi ˆ …e i mod Ng, one can e–ciently compute Q i ˆi = (Q i …i) e mod N, a ciphertext that encrypts the ...

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  Encryption, Homomorphic, Homomorphic encryption

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