[GAP Forum] how to obtain the minpoly of nested extension field

[shengyu shen]

Dear all:

I am currently learning using GAP to analyze the IEEE 802.3bj reed solomon code.

this code run on GF(2^10), which is obtained in two step:

1. extend GF(2) to GF(2^5) with minpoly u^5 + u^2 + 1
2. extend GF(32) to GF(2^10) with minpoly v^2 + v + 1

So how can I compute the minpoly that entend GF(2) directly to GF(2^10)?


Shen