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

Addition and Multiplication Tables in Galois Fields GF(2m)

* See GF(2m) calculator tool.


Using the Galois Field GF(24) = GF(16) based on the primitive P(x) = x4 + x3 + 1 = (11001) = 25 (decimal)

Multiplication Table

× 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
1123456789101112131415
2246810121491113151357
3365121510912741314118
4481291315111537261014
5510151387236912141141
6612101713112414835159
7714952111210134315816
8891113210157614412135
9911215641371412581310
10101373914461211151582
11111547128314511092613
12121132143154859610711
13133146115812115210794
14145111041511338679212
15157814196510213114123

Select a primitive polynomial P(x)

2021-09-22 07:32:11 ADT
Last Updated: 2011-02-02
Richard Tervo [ tervo@unb.ca ] Back to the course homepage...