Public-Key Cryptosystems Based on Composite Degree Residuosity Classes

  • Pascal Paillier
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1592)

Abstract

This paper investigates a novel computational problem, namely the Composite Residuosity Class Problem, and its applications to public-key cryptography. We propose a new trapdoor mechanism and derive from this technique three encryption schemes: a trapdoor permutation and two homomorphic probabilistic encryption schemes computationally comparable to RSA. Our cryptosystems, based on usual modular arithmetics, are provably secure under appropriate assumptions in the standard model.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • Pascal Paillier
    • 1
    • 2
  1. 1.Cryptography DepartmentGEMPLUSIssy-Les-MoulineauxFrance
  2. 2.Computer Science DepartmentENSTParis Cedex 13France

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