One-wayness equivalent to general factoring

  • Authors:
  • Kaoru Kurosawa;Tsuyoshi Takagi

  • Affiliations:
  • Department of Computer and Information Sciences, Ibaraki University, Hitachi, Ibaraki, Japan;School of Systems Information Science, Future University-Hakodate, Hakodate, Japan

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2009

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Abstract

This paper shows the first practical semantically secure public-key encryption scheme such that its one-wayness is equivalent to general factoring in the standard model [in the sense of indistinguishability against chosen-plaintext attack (IND-CPA)]. Next our proof technique is applied to the Rabin-Paillier encryption scheme and a variant of the RSA-Paillier encryption scheme to prove their one-wayness under the factoring assumption via tight security reductions.