Communications Toolbox

Galois Field Computations

+ -	Addition and subtraction of Galois arrays
* / \	Matrix multiplication and division of Galois arrays
.* ./ .\	Elementwise multiplication and division of Galois arrays
^	Matrix exponentiation of Galois array
.^	Elementwise exponentiation of Galois array
' .'	Transpose of Galois array
==, ~=	Relational operators for Galois arrays
all	True if all elements of a Galois vector are nonzero
any	True if any element of a Galois vector is nonzero
conv	Convolution of Galois vectors
convmtx	Convolution matrix of Galois field vector
cosets	Produce cyclotomic cosets for a Galois field
deconv	Deconvolution and polynomial division
det	Determinant of square Galois matrix
dftmtx	Discrete Fourier transform matrix in a Galois field
diag	Diagonal Galois matrices and diagonals of a Galois matrix
fft	Discrete Fourier transform
filter	One-dimensional digital filter over a Galois field
gf	Create a Galois field array
gftable	Generate a file to accelerate Galois field computations
ifft	Inverse discrete Fourier transform
inv	Inverse of Galois matrix
isempty	True for empty Galois arrays
isprimitive	True for a primitive polynomial for a Galois field
length	Length of Galois vector
log	Logarithm in a Galois field
lu	Lower-Upper triangular factorization of Galois array
minpol	Find the minimal polynomial of an element of a Galois field
mldivide	Matrix left division \ of Galois arrays
polyval	Evaluate polynomial in Galois field
primpoly	Find primitive polynomials for a Galois field
rank	Rank of a Galois array
reshape	Reshape Galois array
roots	Find polynomial roots across a Galois field
size	Size of Galois array
tril	Extract lower triangular part of Galois array
triu	Extract upper triangular part of Galois array