Galois Field Functions
This toolbox contains a collection of MATLAB functions for Galois Field (GF) computation. The reason for building GF is because block coding techniques are built on the basis of GF. The functions includes:
flxor
- Exclusive OR calculation.
gfadd
- GF additive computation.
gfcon
- GF polynomial convolution (multiply) computation.
gfcosets
- Cyclotomic cosets generator.
gfdeconv
- GF polynomial deconvolution (dividing) computation.
gfdiv
- GF dividing computation.
gffilter
- GF filtering computation.
gflineq
- Computer X in A X = B in GF(p) field.
gfminpol
- Find minimal polynomials.
gfmul
- GF multiplicative computation.
gfplus
- GF(2^p) additive computation.
gfpretty
- GF polynomial presentation.
gfprimck
- Test GF irreducible and primitive properties.
gfprimdf
- Output default primitive polynomial at a given degree.
gfprimfd
- Find GF primitive polynomial.
gfrank
- Find the rank of a matrix in Galois field.
gfrepcov
- GF polynomial conversion.
gfroots
- Find roots of a polynomial in GF(p^m) field.
gfsub
- GF substraction computation.
gftrunc
- GF polynomial truncation processing.
gftuple
- GF m-tuple representation and power representation.
isprime
- Verify whether an integer is a prime number.
primes
- Produce prime numbers.
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