I have three polynomials a(x), b(x) and p(x) over Galois field GF(2^n), and I would like to compute a(x)*b(x) % p(x). Can Matlab compute this expression? So far, I have found this, but it doesn't consider the p(x):

```
m=n;
a=[1 0 0 0 1 2] % just a example of numbers, the same type arrays for b and p as well
c = gfconv(a,b,m)
```

It is what I have found after days of searching, but I cannot find anywhere the formula for the type of equation I have.

Answer:

I think you're looking for remd in this expression (http://nl.mathworks.com/help/comm/galois-fields-of-odd-characteristic.html).

```
a = gf([1 0 0 0 1 2],n); %your example
b = gf([1 1],n); %just example
p = gf([1 0],n); % just example
[quot,remd] = deconv(conv(a,b),p);
```

Note that functions gfconv and gfdeconv exist, but Matlab recommends to use standard conv and deconv over 2^n field.

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