Семенов Петр on Sat, 07 Jan 2012 08:46:26 +0100

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composite field GF(q^mn) as vector space over GF(q^m)

Hello, all!
I have a problem:
1. I have a composite field GF(q^{m*n}) and let A be its element;
2. I want to get the n-dimensional vector over GF(2^m) corresponding to A.

How can I get a minimal/irreducible polynomial f(x) from GF(q^m)[x] to represent GF(q^{m*n})
as GF(q^m)[x]/<f(x)>?
Unfortunately, I found no functions in PARI/GP allowing me to deal with Galois group for
finite field extensions.

How can I solve my problem? 
Thank you!
With best regards,
Piotr Semenov