Generator matrix information

generator matrix is a matrix whose rows form a basis for a linear code. The codewords are all of the linear combinations of the rows of this matrix,...

capable of extracting water from air Generator (mathematics) Generator matrix, a matrix used in coding theory Generator (category theory) of a category, in...

is in terms of its parity-check matrix: the parity-check matrix of the Hadamard code is equal to the generator matrix of the Hamming code. Hadamard codes...

process infinitesimal generator matrix, of a continuous time Markov chain, a class of stochastic processes Infinitesimal generator of a strongly continuous...

on the left hand side of G. The code generator matrix G {\displaystyle \mathbf {G} } and the parity-check matrix H {\displaystyle \mathbf {H} } are: G...

disguising the selected code as a general linear code. For this, the code's generator matrix G {\displaystyle G} is perturbated by two randomly selected invertible...

Vigilant. She, Vector, and Soren attack a backup power generator for the local power plant in the Matrix to assist Neo in reaching the Source, but are all...

{\displaystyle \dim C+\dim C^{\perp }=n.} A generator matrix for the dual code is the parity-check matrix for the original code and vice versa. The dual...

the parity check matrix is n − k {\displaystyle n-k} . Another simple proof follows from observing that the rows of any generator matrix in standard form...

win. A generator matrix for the binary Golay code is I A, where I is the 12×12 identity matrix, and A is the complement of the adjacency matrix of the...

check matrix for this generator matrix is [ − B | I 6 ] T {\displaystyle [-B|I_{6}]^{T}} , where T {\displaystyle T} denotes the transpose of the matrix. An...

error. Example : The linear block code with the following generator matrix and parity check matrix is a [ 7 , 4 , 3 ] 2 {\displaystyle [7,4,3]_{2}} Hamming...

representation of the infinitesimal generators of the special unitary group SU(3). Hamiltonian matrix — a matrix used in a variety of fields, including...

where A ( t ) {\displaystyle A(t)} is the transition rate matrix (also known as the generator matrix), while the Kolmogorov backward equations are ∂ P i j...

span of the columns of its generator matrix, a 24×24 matrix with determinant 1. Leech generator matrix A 24x24 generator (in row convention) for the...

Barcode ScannerSetting Manual" (PDF). sparkfun.com. Datalogic 2 of 5 description Matrix 2 of 5 and Datalogic 2 of 5 generator Matrix 2 of 5 structure...

Prange: Let G {\displaystyle G} be the k × n {\displaystyle k\times n} generator matrix of C {\displaystyle C} used for encoding. Select k {\displaystyle k}...

rotation matrix or differential rotation matrix is a matrix representing an infinitely small rotation. While a rotation matrix is an orthogonal matrix R T...

In mathematics, the matrix exponential is a matrix function on square matrices analogous to the ordinary exponential function. It is used to solve systems...

distance of the code is larger. For a systematic linear code, the generator matrix, G {\displaystyle G} , can always be written as G = [ I k | P ] {\displaystyle...

Random number generators are important in many kinds of technical applications, including physics, engineering or mathematical computer studies (e.g.,...

The Mersenne Twister is a general-purpose pseudorandom number generator (PRNG) developed in 1997 by Makoto Matsumoto [ja] (松本 眞) and Takuji Nishimura...

serial impact dot matrix printer (SIDM), the OKI Wiredot. The printer supported a character generator for 128 characters with a print matrix of 7 × 5. It was...