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Public-key cryptosystems based on composite degree residuosity classes

Pascal Paillier
- Vol. 1592, pp 223-238
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TLDR
A new trapdoor mechanism is proposed and three encryption schemes are derived : a trapdoor permutation and two homomorphic probabilistic encryption schemes computationally comparable to RSA, which are provably secure under appropriate assumptions in the standard model.
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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Citations
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Evaluating 2-DNF formulas on ciphertexts

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Efficient Fully Homomorphic Encryption from (Standard) LWE

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References
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Journal ArticleDOI

New public-key cryptosystem

TL;DR: The development of a new public-key cryptosystem is discussed, a hybrid combination of the RSA (Rivest-Shamir-Adleman) and knapsack crypto-systems, which has higher speed and greater security.