factorization cryptosystem - definizione. Che cos'è factorization cryptosystem
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Cosa (chi) è factorization cryptosystem - definizione

Damgaard-Jurik cryptosystem; Damgaard–Jurik cryptosystem; Damgård-Jurik cryptosystem; Damgard–Jurik cryptosystem; Damgard-Jurik cryptosystem

RRQR factorization         
An RRQR factorization or rank-revealing QR factorization is a matrix decomposition algorithm based on the QR factorization which can be used to determine the rank of a matrix. The singular value decomposition can be used to generate an RRQR, but it is not an efficient method to do so.
Integer factorization         
DECOMPOSITION OF AN INTEGER INTO A PRODUCT
Prime factorization algorithm; Prime factorization; Prime factorisation; Prime decomposition; Integer factorization problem; Integer factorisation; Factoring problem; Integer factorization algorithms; Prime factorization algorithms; Prime Factorization; Integer factoring; Factor table; Factor tree; Factoring tree; Integer Factorization; Factoring integers; Integer factors; Algorithms for factoring integers; Factors of an integer
In number theory, integer factorization is the decomposition of a composite number into a product of smaller integers. If these factors are further restricted to prime numbers, the process is called prime factorization.
Goldwasser–Micali cryptosystem         
ASYMMETRIC KEY ENCRYPTION ALGORITHM
Goldwasser-Micali; Goldwasser-Micali encryption; Goldwasser-Micali cryptosystem; Goldwasser-Micali encryption scheme
The Goldwasser–Micali (GM) cryptosystem is an asymmetric key encryption algorithm developed by Shafi Goldwasser and Silvio Micali in 1982. GM has the distinction of being the first probabilistic public-key encryption scheme which is provably secure under standard cryptographic assumptions.

Wikipedia

Damgård–Jurik cryptosystem

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 n} is an RSA modulus and s {\displaystyle s} a (positive) natural number. Paillier's scheme is the special case with s = 1 {\displaystyle s=1} . The order φ ( n s + 1 ) {\displaystyle \varphi (n^{s+1})} (Euler's totient function) of Z n s + 1 {\displaystyle Z_{n^{s+1}}^{*}} can be divided by n s {\displaystyle n^{s}} . Moreover, Z n s + 1 {\displaystyle Z_{n^{s+1}}^{*}} can be written as the direct product of G × H {\displaystyle G\times H} . G {\displaystyle G} is cyclic and of order n s {\displaystyle n^{s}} , while H {\displaystyle H} is isomorphic to Z n {\displaystyle Z_{n}^{*}} . For encryption, the message is transformed into the corresponding coset of the factor group G × H / H {\displaystyle G\times H/H} and the security of the scheme relies on the difficulty of distinguishing random elements in different cosets of H {\displaystyle H} . It is semantically secure if it is hard to decide if two given elements are in the same coset. Like Paillier, the security of Damgård–Jurik can be proven under the decisional composite residuosity assumption.