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How to generate GF(8)

Posted on 2008-01-05 18:54 By xelsys (1)
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I am new to Maple and still learning syntax, what I would like to do is to generate the elemets of GF(8) or to even how to multiply ploynomials modulo x^3 + x +1?

Thanks for help any one can provide.

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Robert Israel's picture

GF(8)

Comment on 2008-01-06 01:00 from Robert Israel (Maple Rating 4 1555)

The elements of GF(8), represented as Z_2[x]/<x^3+x+1>:

> 0, seq(Rem(x^j, x^3+x+1, x) mod 2, j = 1 .. 7);

Multiplying polynomials mod x^3+x+1:

> rem((x^2+x+1)*(x+1), x^3+x+1, x);

Doing it over Z[2]:

> Rem((x^2+x+1)*(x+1), x^3+x+1, x) mod 2;

You could also try using GF, but I find it unpleasant.

Thanks for your fast

Comment on 2008-01-06 01:46 from xelsys (1)

Thanks for your fast response, that was exactly what I needed.

Regards

Alan

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