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A public-key cryptosystem invented by Pascal Paillier in 1999.

2 votes
1 answer
424 views

a homomorphic operation on Paillier encryption

We encrypt a message as $c=E(r\cdot m)$ using Paillier encryption. …
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4 votes
1 answer
264 views

Why multiple homomorphic operations on a ciphertext leaks no information about the plaintext?

Scenario: Assume I encrypt message $m$ using Paillier encryption, so I would get $c=E(m)$. I give the identical $c$ to two different parties, parties $D$ and $E$. … Remark 2: I mentioned Paillier because I'm using it right now, and the question can be generalized for any homomorphic encryptions. …
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3 votes
1 answer
105 views

Homomorphic $\bmod p$ operation

Let $E(m)$ a be the encryption operation using Paillier encryption scheme. Let $N$ be the public key and $p$ be a large prime number, such that $p<N$. …
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4 votes
1 answer
1k views

Paillier encryption: Many private keys for a public key

Assume $N$ is a public key for paillier encryption, generated by a third party. Question: Given $N$ can each client generate its own private key, such that its public key is $N$? …
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