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


Multiplication in Detail

Multiplication in GF(64), based on P(x) = x6 + x + 1

     1 1 0 0 0 1
×      1 0 1 1

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

= 1 1 1 0 1 1 0 1 1

2024-05-08 23:52:00 ADT
Last Updated: 2013-02-17
Richard Tervo [ tervo@unb.ca ] Back to the course homepage...