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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)
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- To: pari-users@pari.math.u-bordeaux1.fr
- Subject: composite field GF(q^mn) as vector space over GF(q^m)
- From: Семенов Петр <semenov.pk@gmail.com>
- Date: Sat, 7 Jan 2012 11:46:21 +0400
- Delivery-date: Sat, 07 Jan 2012 08:46:26 +0100
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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