K. = GF(q)
KT. = K.extension(2)
KTT. = K.extension(6)
In this case KTT is a degree 12 extension. My question is:
Can I obtain KTT by KTT. = K.extension(x^6 - a), where x^6 -a is some irreducible polynomial over KT ???
Documentation gives nothing about this towering of fields.