urgent help: irreducible polynomial

• December 27th 2009, 01:50 AM
classic_phohe
urgent help: irreducible polynomial
Hi,

in order to build composite field of $GF((2^2)^2)^2$ i need 3 irreducible polynomial as the following

$r(z) = z^2 + \lambda z + 1$ for $GF(2^8)/GF(2^4)$
$s(y) = y^2 + \{\delta+1\}y + 1$ for $GF(2^4)/GF(2^2)$
$t(x) = x^2 + x + 1$ for $GF(2^2)/GF(2)$

how do i determine all the 8 possible value for $\lambda$?