[Resource Topic] 2005/382: One-Wayness Equivalent to General Factoring

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One-Wayness Equivalent to General Factoring

Authors: Kaoru Kurosawa, Tsuyoshi Takagi


This paper shows the first practical semantically secure public-key encryption scheme such that its one-wayness is equivalent to
{\it general} factoring in the {\it standard} model (in the sense of IND-CPA).

Next our proof technique is applied to Rabin-Paillier encryption scheme and a variant of RSA-Paillier encryption scheme to prove their exactly tight one-wayness.

ePrint: https://eprint.iacr.org/2005/382

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