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(23) = GF(8) based on the primitive P(x) = x3 + x + 1 = (1011) = 11 (decimal)

Addition Table

+ 0 1 2 3 4 5 6 7
001234567
110325476
223016745
332107654
445670123
554761032
667452301
776543210

Multiplication Table

× 1 2 3 4 5 6 7
11234567
22463175
33657412
44376251
55142736
66715324
77521643

Select a primitive polynomial P(x)

2024-05-04 03:23:38 ADT
Last Updated: 2011-02-02
Richard Tervo [ tervo@unb.ca ] Back to the course homepage...