Wednesday, 1 January 2014

abstract algebra - How do I find the order of an element if I am given the minimal polynomial of the element?

For example, let's say I am given an element α in a field of characteristic 2. Further, I am given the minimal polynomial of α with respect to GF(2). Let's say that minimal polynomial is f(x)=x9+x+1. How would I then deduce the order of α?



This is for a coding theory assignment, but I cannot deduce from the literature how to go in this direction. Most things I have read seem to indicate how to find a minimal polynomial, but don't seem to take that any further.

No comments:

Post a Comment

real analysis - How to find limhrightarrow0fracsin(ha)h

How to find lim without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...