ECE4253 Digital Communications
	Department of Electrical and Computer Engineering - University of New Brunswick, Fredericton, NB, Canada

Galois Field GF(2) Calculator

Model C-172 POLYNOMIAL CALCULATOR A: B: A + B A - B A × B A / B Discussion  Polynomials  MATLAB

Answer: (division)

 10010
------- = 111, Remainder = 00
  110

Detailed Calculation

        111
    -------
110 ) 10010
      110
      ---
       1010
       110
       ---
        110
        110
        ---
         00

MATLAB Example

Calculations in GF(2) are performed by MATLAB functions found within the Communications Toolbox.

>> a = gf( [1 0 0 1 0] );

>> b = gf( [1 1 0] );

>> [q,r] = deconv(a,b) % deconvolution is equivalent to division

q = GF(2) array.

Array elements =

       1      1      1

r = GF(2) array.

Array elements =

       0