The Paillier cryptosystem, invented by and named after Pascal Paillier in 1999, is a probabilistic asymmetric algorithm for public key cryptography. The problem of computing n-th residue classes is believed to be computationally difficult. The decisional composite residuosity assumption is the intractability hypothesis upon which this cryptosystem is based.
The scheme is an additive homomorphic cryptosystem; this means that, given only the public key and the
encryption of and , one can compute the encryption of .
and 19 Related for: Paillier cryptosystem information
The Pailliercryptosystem, invented by and named after Pascal Paillier in 1999, is a probabilistic asymmetric algorithm for public key cryptography. The...
Goldwasser–Micali cryptosystem (unbounded number of exclusive or operations) Benaloh cryptosystem (unbounded number of modular additions) Pailliercryptosystem (unbounded...
In cryptography, a cryptosystem is a suite of cryptographic algorithms needed to implement a particular security service, such as confidentiality (encryption)...
free GNU Privacy Guard software, recent versions of PGP, and other cryptosystems. The Digital Signature Algorithm (DSA) is a variant of the ElGamal signature...
The Rabin cryptosystem is a family of public-key encryption schemes based on a trapdoor function whose security, like that of RSA, is related to the difficulty...
The Benaloh Cryptosystem is an extension of the Goldwasser-Micali cryptosystem (GM) created in 1985 by Josh (Cohen) Benaloh. The main improvement of the...
cryptography. In particular, the assumption is used in the proof of the Pailliercryptosystem. Informally, the DCRA states that given a composite n {\displaystyle...
1 N {\displaystyle N,(1+n)N,(1+n)2N,\;\ldots ,(1+n)n-1N} . The Pailliercryptosystem is based on the conjecture that it is difficult to determine the...
developed, it would threaten the current or eventual security of RSA-based cryptosystems—both for public-key encryption and digital signatures. More specifically...
In cryptography, the McEliece cryptosystem is an asymmetric encryption algorithm developed in 1978 by Robert McEliece. It was the first such scheme to...
In cryptography, the Niederreiter cryptosystem is a variation of the McEliece cryptosystem developed in 1986 by Harald Niederreiter. It applies the same...
Standard". General Jean-Sébastien Coron, Marc Joye, David Naccache, and Pascal Paillier (2000). "New Attacks on PKCS #1 v1.5 Encryption" (PDF). EUROCRYPT. pp. 369–381...
In cryptography, a semantically secure cryptosystem is one where only negligible information about the plaintext can be feasibly extracted from the ciphertext...
The Digital Signature Algorithm (DSA) is a public-key cryptosystem and Federal Information Processing Standard for digital signatures, based on the mathematical...
in the transmission system being able to decrypt it. This asymmetric cryptosystem uses a variant of the learning with errors lattice problem as its basic...
is needed to decrypt the ciphertext. In formal mathematical terms, a "cryptosystem" is the ordered list of elements of finite possible plaintexts, finite...
Pointcheval–Stern signature algorithm Taher ElGamal (1985). "A Public-Key Cryptosystem and a Signature Scheme Based on Discrete Logarithms" (PDF). IEEE Transactions...
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