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

Galois Field GF(2m) Calculator

* See addition and multiplication tables.

Select input polynomials as decimal coefficients separated by spaces and a P(x) defining GF(2m).

Model C-182 GALOIS FIELD CALCULATOR

A:

B:

A + B A - B A × B A / B

P(x):

Discussion  Polynomials  MATLAB

Division in Detail

Division in GF(8), based on P(x) = x3 + x + 1

   6 2 6 4 4 = result
 
 6 0 0 0 0 0 0 = A
 6 2 1 0 0 0 0 = B × 6 x4
  2 1 0 0 0 0  
  2 7 6 0 0 0 = B × 2 x3
   6 6 0 0 0  
   6 2 1 0 0 = B × 6 x2
    4 1 0 0  
    4 5 7 0 = B × 4 x1
     4 7 0  
     4 5 7 = B × 4 x0
      2 7 = remainder

2024-05-05 16:14:28 ADT
Last Updated: 2013-02-17 		Richard Tervo [ tervo@unb.ca ] Back to the course homepage...