Some RSA-based Encryption Schemes with Tight Security Reduction

Kaoru Kurosawa; Tsuyoshi Takagi

Paper 2003/157

Some RSA-based Encryption Schemes with Tight Security Reduction

Kaoru Kurosawa and Tsuyoshi Takagi

Abstract

In this paper, we study some RSA-based semantically secure encryption schemes (IND-CPA) in the standard model. We first derive the exactly tight one-wayness of Rabin-Paillier encryption scheme which assumes that factoring Blum integers is hard. We next propose the first IND-CPA scheme whose one-wayness is equivalent to factoring {\it general} $n=pq$ (not factoring Blum integers). Our reductions of one-wayness are very tight because they require only one decryption-oracle query.

Note: This is a long version.

Metadata

Available format(s): PS
Category: Public-key cryptography
Publication info: Published elsewhere. accepted by Asiacrypt'2003
Keywords: public-key cryptography factoring
Contact author(s): kurosawa @ cis ibaraki ac jp
History: 2003-08-07: received
Short URL: https://ia.cr/2003/157
License: CC BY

BibTeX

@misc{cryptoeprint:2003/157,
      author = {Kaoru Kurosawa and Tsuyoshi Takagi},
      title = {Some {RSA}-based Encryption Schemes with Tight Security Reduction},
      howpublished = {Cryptology {ePrint} Archive, Paper 2003/157},
      year = {2003},
      url = {https://eprint.iacr.org/2003/157}
}