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
------- = 101, Remainder = 11
  101

Detailed Calculation

        101
    -------
101 ) 10010
      101
      ---
       0110
        101
        ---
         11

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 0 1] );

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

q = GF(2) array.

Array elements =

       1      0      1

r = GF(2) array.

Array elements =

       0      1      1