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A generalisation, a simplification and some applications of Paillier's probabilistic publickey system
 LNCS
, 2001
"... We propose a generalisation of Paillier’s probabilistic public key system, in which the expansion factor is reduced and which allows to adjust the block length of the scheme even after the public key has been fixed, without loosing the homomorphic property.We show that the generalisation is as secu ..."
Abstract

Cited by 175 (2 self)
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We propose a generalisation of Paillier’s probabilistic public key system, in which the expansion factor is reduced and which allows to adjust the block length of the scheme even after the public key has been fixed, without loosing the homomorphic property.We show that the generalisation is as secure as Paillier’s original system. We construct a threshold variant of the generalised scheme as well as zeroknowledge protocols to show that a given ciphertext encrypts one of a set of given plaintexts, and protocols to verify multiplicative relations on plaintexts. We then show how these building blocks can be used for applying the scheme to efficient electronic voting. This reduces dramatically the work needed to compute the final result of an election, compared to the previously best known schemes. We show how the basic scheme for a yes/no vote can be easily adapted to casting a vote for up to t out of L candidates.The same basic building blocks can also be adapted to provide receiptfree elections, under appropriate physical assumptions. The scheme for 1 out of L elections can be optimised such that for a certain range of parameter values, a ballot has size only O(log L) bits.
A Generalization of Paillier's PublicKey System with Applications to Electronic Voting
 P Y A RYAN
, 2003
"... We propose a generalization of Paillier's probabilistic public key system, in which the expansion factor is reduced and which allows to adjust the block length of the scheme even after the public key has been fixed, without losing the homomorphic property. We show that the generalization is as ..."
Abstract

Cited by 22 (1 self)
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We propose a generalization of Paillier's probabilistic public key system, in which the expansion factor is reduced and which allows to adjust the block length of the scheme even after the public key has been fixed, without losing the homomorphic property. We show that the generalization is as secure as Paillier's original system and propose several ways to optimize implementations of both the generalized and the original scheme. We construct