Public-Key Cryptosystems Based on Composite Degree Residuosity Classes

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Public-Key Cryptosystems Based on Composite Degree Residuosity Classes
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. 1 Background Since the discovery of public-key cryptography by Diffie and Hellman [5], very few convincingly secure asymetric schemes have been discovered despite considerable research efforts. We refer the reader to [26] for a thorough survey of existing public-key cryptosystems. Basically, two major species of trapdoor techniques are in use today. The first points to RSA [25] and related variants such as Rabin-Williams [24, 30], LUC, Dickson’s scheme or elliptic curve versions of RSA like KMOV [...
Pascal Paillier
Added 04 Aug 2010
Updated 04 Aug 2010
Type Conference
Year 1999
Authors Pascal Paillier
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