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)

 110010100100000111
-------------------- = 110110010101, Remainder = 000100
      1001111

Polynomial Form

 x17+x16+x13+x11+x8+x2+x+1
----------------------- =  x11+x10+x8+x7+x4+x2+1, Remainder: x2
     x6+x3+x2+x+1

MATLAB Example

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

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

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

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

q = GF(2) array.

Array elements =

       1      1      0      1      1      0      0      1      0      1      0      1

r = GF(2) array.

Array elements =

       0      0      0      0      1      0      0