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Cosa (chi) è matrix cryptosystem - definizione

SUBSTITUTION CIPHER BASED ON LINEAR ALGEBRA

Matrix encryption; Hill cryptosystem

MATRIX MATH

$An undirected graph with adjacency matrix: <math display="block">\begin{bmatrix} 1 & 1 & 0 \\ 1 & 0 & 1 \\ 0 & 1 & 0 \end{bmatrix}.</math>$
$Two different Markov chains. The chart depicts the number of particles (of a total of 1000) in state "2". Both limiting values can be determined from the transition matrices, which are given by <math> \begin{bmatrix} 0.7 & 0\\ 0.3 & 1 \end{bmatrix}</math> (red) and <math> \begin{bmatrix} 0.7 & 0.2\\ 0.3 & 0.8 \end{bmatrix}</math> (black).$

RECTANGULAR ARRAY OF NUMBERS, SYMBOLS, OR EXPRESSIONS, ARRANGED IN ROWS AND COLUMNS

Matrix (Mathematics); Matrix (math); Submatrix; Matrix theory; Matrix (maths); Submatrices; Matrix Theory and Linear Algebra; Infinite matrix; Square (matrix); Matrix operation; Square submatrix; Matrix(mathematics); Real matrix; Matrix math; Matrix index; Equal matrix; Matrix equation; Matrix (computer science); Matrix notation; Empty matrix; Real matrices; Principal submatrix; Array (mathematics); Matrix power; Complex matrix; Complex matrices; Applications of matrices; Rectangular matrix; Uniform matrix

<language> An early system on the UNIVAC I or II. [Listed in CACM 2(5):1959-05-16]. (1997-02-27)

Logical matrix

MATRIX WITH ENTRIES FROM THE BOOLEAN DOMAIN B = {0, 1}

Binary matrix; (0,1) matrix; (0,1)-matrix; (0,1)-matrices; 0,1-matrix; 0-1 matrix; Matrix logic; Zero-One matrix; Logical vector; Logical matrices

A logical matrix, binary matrix, relation matrix, Boolean matrix, or (0, 1) matrix is a matrix with entries from the Boolean domain Such a matrix can be used to represent a binary relation between a pair of finite sets.

https://en.wikipedia.org/wiki/Logical_matrix

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.

https://en.wikipedia.org/wiki/Goldwasser–Micali_cryptosystem

Wikipedia

Hill cipher

In classical cryptography, the Hill cipher is a polygraphic substitution cipher based on linear algebra. Invented by Lester S. Hill in 1929, it was the first polygraphic cipher in which it was practical (though barely) to operate on more than three symbols at once.

The following discussion assumes an elementary knowledge of matrices.

https://en.wikipedia.org/wiki/Hill cipher