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

   4 4 3 3 5 = result

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

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

   3 2 1 4 3  
   3 1 5 0 0 = B × 3 x2

    3 4 4 3  
    3 1 5 0 = B × 3 x1

     5 1 3  
     5 3 4 = B × 5 x0

      2 7 = remainder

2024-05-05 12:39:11 ADT
Last Updated: 2013-02-17
Richard Tervo [ tervo@unb.ca ] Back to the course homepage...