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

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ZKIP for Paillier public key correctness

First, the awkwardness of ZKPs and distributed key generation in Paillier is the reason many protocols use exponential Elgamal for protocols like mental poker. … I don't know of a ZKP for well-formed keys in Paillier. This is just an initial thought. …
Glorfindel's user avatar
13 votes

Division in paillier cryptosystem

Paillier encryption is built on the bijeective mapping from $(x,y)\in \mathbb{Z}_n \times \mathbb{Z}_n^*$ to: $E_{g,n}(x,y)=g^x y^n \bmod{n^2}$. … ], n]; m = RandomInteger[{1, n - 1}]; s = RandomInteger[{1, n - 1}]; si = PowerMod[s, -1, n]; c = PowerMod[Enc[m], si, n^2]; Dec[c] == Mod[m*si, n] This answer is the result of a crash course in Paillier
PulpSpy's user avatar
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