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

   2 6 5 7 1 = result

 
 2 1 1 5 1 4 3 = A
 2 7 6 0 0 0 0 = B × 2 x4

  6 7 5 1 4 3  
  6 2 1 0 0 0 = B × 6 x3

   5 4 1 4 3  
   5 3 4 0 0 = B × 5 x2

    7 5 4 3  
    7 4 2 0 = B × 7 x1

     1 6 3  
     1 6 3 = B × 1 x0

      0 0 = remainder

2024-05-05 08:26:18 ADT
Last Updated: 2013-02-17
Richard Tervo [ tervo@unb.ca ] Back to the course homepage...