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A public-key cryptosystem invented by Pascal Paillier in 1999.
4
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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. …
4
votes
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answer
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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 $N$? …
3
votes
1
answer
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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 $p<N$. …
2
votes
1
answer
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a homomorphic operation on Paillier encryption
We encrypt a message as $c=E(r\cdot m)$ using Paillier encryption. …