MATLAB: Square root of a polynomial over gf

gfsqaure root

Hi all, I would like to ask you, I there is a fanction which calculates the sqaure root of a polynomial over gf..something like this:
    pol=poly2sym(g1.x,'x');
    F = evalin(symengine, 'poly(pol, Dom::GaloisField(2^11))');
    res=feval(symengine, 'sqrt', F)
g1: is the polynomial over gf(2^11)..

Best Answer

You will have to do it by hand, that is, use polylib::sqrfree and divide all multiplicities by 2. These multiplicities are in the third, fifth, seventh, ... operand of the factored object, see ?Factored in the MuPAD notebook. Of course, there is no sqrt if one of the multiplicities is odd.
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