Titlebook: Advances in Cryptology – EUROCRYPT 2013; 32nd Annual Internat Thomas Johansson,Phong Q. Nguyen Conference proceedings 2013 International As

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https://doi.org/10.1007/978-1-4613-2601-4 cryptographic schemes whose efficiency is competitive with that of more traditional number-theoretic ones, along with entirely new applications like fully homomorphic encryption. Unfortunately, realizing the full potential of ring-based cryptography has so far been hindered by a lack of practical a

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Franck Thuny M.D.,Gilbert Habib M.D.under the .-Hiding Assumption (.A) can be used to understand the security of classical RSA-based cryptographic systems. In particular, we show that, under .A, several questions or conjectures about the security of such systems can be reduced to bounds on the regularity (the distribution of the primi