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Math Help - Irreducible Polynomial

  1. #1
    Junior Member classic_phohe's Avatar
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    Irreducible Polynomial

    is it possible to have field GF(((2^2)^2)^2) is constructed from the following irreducible field polynomials:

    r(z) = z^2 + \{0100\}z + 1 for GF(2^8)/GF(2^4)
    s(y) = y^2 + \{10\}y + 1 for  GF(2^4)/GF(2^2)
    s(x) = x^2 + x + 1 for GF(2^2)/GF(2)

    thanks.
    Last edited by classic_phohe; August 17th 2009 at 05:38 AM. Reason: typo
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