Thanks, Antonio. It looks very close to what I need, but I am getting some errors. For example, when I try for the addition table:
? addtable(2, x^3+x+1, x)
0 1 2 3 4 5 6 7
1 2 4 7 2 6 5 3
2 4 0 5 1 3 7 6
3 7 5 0 6 2 4 1
4 2 1 6 0 7 3 5
5 6 3 2 7 0 1 4
6 5 7 4 3 1 0 2
7 3 6 1 5 4 2 0
The second entry on the second line is supposed to be 0, not 2. I also tried for 3^2, like this:
? multable(3,x^2+x+1,x)
0 0 0 0 0 0 0 0 0
+
0 7 8 6 7 8 6 7 8
+
0 8 6 7 8 6 7 8 6
+
0 6 7 8 6 7 8 6 7
+
0 7 8 6 7 8 6 7 8
+
0 8 6 7 8 6 7 8 6
+
0 6 7 8 6 7 8 6 7
+
0 7 8 6 7 8 6 7 8
+
0 8 6 7 8 6 7 8 6
This table doesn't look right at all. What could be going wrong?
Update:For the 3^2 case, I see that I didn't use a correct primitive polynomial for GF(3). I tried "x^2+2*x+2" and it looks a lot better. Now I just need to find a way to get other primitive polynomials...
Update2: I found a program than can compute a primitive polynomial of any order for GF(n), here.
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