Matlab Galois Field arrays
Operations supported for Galois Field arrays:
+ - -
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.
isprimitive - Check whether a polynomial over a Galois
field is primitive.
length - Length of Galois vector.
log
- Logarithm in a Galois field.
lu - Lower-Upper
triangular factorization of Galois array.
minpoly - Find the minimal
polynomial for a Galois element.
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.