The Naccache–Stern cryptosystem is a homomorphic public-key cryptosystem whose security rests on the higher residuosity problem. The Naccache–Stern cryptosystem...

Naccache–Stern Knapsack cryptosystem is an atypical public-key cryptosystem developed by David Naccache and Jacques Stern in 1997. This cryptosystem is...

similarly named but very distinct Naccache-Stern cryptosystem and Naccache-Stern knapsack cryptosystem. In 2004 David Naccache and Claire Whelan, then employed...

signature. The Naccache–Stern cryptosystem and the Okamoto–Uchiyama cryptosystem are historical antecedents of Paillier. The Damgård–Jurik cryptosystem is a generalization...

The RSA (Rivest–Shamir–Adleman) cryptosystem is a public-key cryptosystem, one of the oldest widely used for secure data transmission. The initialism...

design of the Pointcheval–Stern signature algorithm, the Naccache–Stern cryptosystem and Naccache–Stern knapsack cryptosystem, and the block ciphers CS-Cipher...

Other partially homomorphic cryptosystems Okamoto–Uchiyama cryptosystem Naccache–Stern cryptosystem Damgård–Jurik cryptosystem Sander–Young–Yung encryption...

In cryptography, the McEliece cryptosystem is an asymmetric encryption algorithm developed in 1978 by Robert McEliece. It was the first such scheme to...

subset sum problem, a special case of the above Naccache-Stern knapsack cryptosystem, a cryptosystem based on the knapsack problem Knapsack (band), an...

security, compared to cryptosystems based on modular exponentiation in Galois fields, such as the RSA cryptosystem and ElGamal cryptosystem. Elliptic curves...

(1969-), French neurologist David Naccache (1967-), cryptographer See also: Naccache–Stern cryptosystem Huda Naccache, Arab-Israeli model This disambiguation...

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...

ElGamal cryptosystem is usually used as part of a hybrid cryptosystem, where the message itself is encrypted using a symmetric cryptosystem, and ElGamal...

The Merkle–Hellman knapsack cryptosystem was one of the earliest public key cryptosystems. It was published by Ralph Merkle and Martin Hellman in 1978...

E(a,E(b,m)) = mab mod p = mba mod p = E(b,E(a,m)). The Massey–Omura Cryptosystem was proposed by James Massey and Jim K. Omura in 1982 as a possible improvement...

is needed to decrypt the ciphertext. In formal mathematical terms, a "cryptosystem" is the ordered list of elements of finite possible plaintexts, finite...

A threshold cryptosystem, the basis for the field of threshold cryptography, is a cryptosystem that protects information by encrypting it and distributing...

In cryptography, the Niederreiter cryptosystem is a variation of the McEliece cryptosystem developed in 1986 by Harald Niederreiter. It applies the same...

Ronald Cramer and Victor Shoup in 1998, it is an extension of the ElGamal cryptosystem. In contrast to ElGamal, which is extremely malleable, Cramer–Shoup adds...

Based Encryption Boneh–Franklin Shamir, Adi (1985). "Identity-Based Cryptosystems and Signature Schemes" (PDF). In Blakley, George Robert; Chaum, David...

curve cryptography. David Naccache, inventor of the Naccache–Stern cryptosystem and of the Naccache–Stern knapsack cryptosystem. Moni Naor, co-inventor...

The Damgård–Jurik cryptosystem is a generalization of the Paillier cryptosystem. It uses computations modulo n s + 1 {\displaystyle n^{s+1}} where n {\displaystyle...

solve the Diffie–Hellman problem, making this and many other public key cryptosystems insecure. Fields of small characteristic may be less secure. The order...

The Benaloh Cryptosystem is an extension of the Goldwasser-Micali cryptosystem (GM) created in 1985 by Josh (Cohen) Benaloh. The main improvement of the...

RLWE-KEX RLWE-SIG Others AE CEILIDH EPOC HFE IES Lamport McEliece Merkle–Hellman Naccache–Stern knapsack cryptosystem Three-pass protocol XTR SQIsign...

RLWE-KEX RLWE-SIG Others AE CEILIDH EPOC HFE IES Lamport McEliece Merkle–Hellman Naccache–Stern knapsack cryptosystem Three-pass protocol XTR SQIsign...

The Goldwasser–Micali (GM) cryptosystem is an asymmetric key encryption algorithm developed by Shafi Goldwasser and Silvio Micali in 1982. GM has the distinction...

The Schmidt-Samoa cryptosystem is an asymmetric cryptographic technique, whose security, like Rabin depends on the difficulty of integer factorization...

under an adaptive chosen message attack. All public key / private key cryptosystems depend entirely on keeping the private key secret. A private key can...

Equations (HFE), also known as HFE trapdoor function, is a public key cryptosystem which was introduced at Eurocrypt in 1996 and proposed by (in French)...