block cryptosystem - meaning and definition. What is block cryptosystem
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What (who) is block cryptosystem - definition

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

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.
Block (permutation group theory)         
TERM IN MATHEMATICS AND GROUP THEORY
Block system
In mathematics and group theory, a block system for the action of a group G on a set X is a partition of X that is G-invariant. In terms of the associated equivalence relation on X, G-invariance means that
block system         
TERM IN MATHEMATICS AND GROUP THEORY
Block system
¦ noun a system of railway signalling which divides the track into sections and allows no train to enter a section that is not completely clear.

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.