RSA-bits are 0.5 + &egr; secure

  • Authors:
  • C P Schnorr;W Alexi

  • Affiliations:
  • -;-

  • Venue:
  • Proc. of the EUROCRYPT 84 workshop on Advances in cryptology: theory and application of cryptographic techniques
  • Year:
  • 1985

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Abstract

We prove by some novel sampling techniques that the least significant bits of RSA-messages are 0.5+ 驴 - secure. Any oracle which correctly predicts the k-th least significant message bit for at least a 0.5 + 驴 - fraction of all messages can be used to decipher all RSA ciphertexts in random polynomial time (more precisely in time (log n)0(驴-2+k)).