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What (who) is MDS matrix - definition

MDS matrix

REPRESENTS A FUNCTION WITH DIFFUSION PROPERTIES USEFUL IN CRYPTOGRAPHY

Maximum Distance Separable; Maximum distance separable

An MDS matrix (maximum distance separable) is a matrix representing a function with certain diffusion properties that have useful applications in cryptography. Technically, an m \times n matrix A over a finite field K is an MDS matrix if it is the transformation matrix of a linear transformation f(x) = Ax from K^n to K^m such that no two different (m + n)-tuples of the form (x, f(x)) coincide in n or more components.

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

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