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Paillier cryptosystem

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.

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Paillier cryptosystem

Nodes25
Edges24
Triples25
Avg. degree1.92
Density0.08
Components1

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Paillier cryptosystem

Top relations

related to External links · 11
Paillier cryptosystem → An, Archived, Encounter, Javascript, Paillier, Partially Homomorphic Encryption, Python, Ruby, The Homomorphic Encryption Project, The Paillier, Wayback Machine
related to Homomorphic properties · 5
Paillier cryptosystem → Applications, As, Electronic, Homomorphic, Paillier
related to background · 2
Paillier cryptosystem → For, Paillier

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Important terminology

cryptosystem paillier homomorphic key displaystyle encryption voting electronic security random compute public decryption properties semantic threshold lambda mu composite residuosity

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
secure electronic votinginstance ofbut under certain applications0.80text
threshold cryptosystemsinstance ofbut under certain applications0.80text
this property may indeed be necessary.Paillierinstance ofbut under certain applications0.80text
Pointcheval however went on to propose an improved cryptosystem that incorporates the combined hashing of message m with random rinstance ofbut under certain applications0.80text
dishonest auctioneersinstance ofIt prevents fraudulent activities0.80text
collusion between biddersinstance ofIt prevents fraudulent activities0.80text
auctioneers who manipulate bidsinstance ofIt prevents fraudulent activities0.80text
Paillier cryptosystemrelated to backgroundPaillier0.60section
Paillier cryptosystemrelated to backgroundFor0.60section
Paillier cryptosystemrelated to External linksThe Homomorphic Encryption Project0.60section
Paillier cryptosystemrelated to External linksPaillier0.60section
Paillier cryptosystemrelated to External linksEncounter0.60section

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